LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

2004.09295

Ariel Edery

Non-singular vortices with positive mass in 2+1 dimensional Einstein gravity with AdS$_3$ and Minkowski background

30 pages, 9 figures, 2 tables. v2: added footnotes, published in JHEP

JHEP 01 (2021) 166

10.1007/JHEP01(2021)166

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In previous work, black hole vortex solutions in Einstein gravity with AdS$_3$ background were found where the scalar matter profile had a singularity at the origin $r=0$. In this paper, we find numerically static vortex solutions where the scalar and gauge fields have a non-singular profile under Einstein gravity in an AdS$_3$ background. Vortices with different winding numbers $n$, VEV $v$ and cosmological constant $\Lambda$ are obtained. These vortices have positive mass and are not BTZ black holes as they have no event horizon. The mass is determined in two ways: by subtracting the numerical values of two separate asymptotic metrics and via an integral that is purely over the matter fields. The mass of the vortex increases as the cosmological constant becomes more negative and this coincides with the core of the vortex becoming smaller (compressed). We then consider the vortex with gravity in asymptotically flat spacetime for different values of the coupling $\alpha=1/(16 \pi G)$. At the origin, the spacetime has its highest curvature and there is no singularity. It transitions to an asymptotic conical spacetime with angular deficit that increases significantly as $\alpha$ decreases. For comparison, we also consider the vortex without gravity in flat spacetime. For this case, one cannot obtain the mass by the first method (subtracting two metrics) but remarkably, via a limiting procedure, one can obtain an integral mass formula. In the absence of gauge fields, there is a well-known logarithmic divergence in the energy of the vortex. With gravity, we present this divergence in a new light. We show that the metric acquires a logarithmic term which is the $2+1$ dimensional realization of the Newtonian gravitational potential when General Relativity is supplemented with a scalar field. This opens up novel possibilities which we discuss in the conclusion.

[ { "created": "Mon, 20 Apr 2020 13:51:26 GMT", "version": "v1" }, { "created": "Wed, 10 Feb 2021 02:18:04 GMT", "version": "v2" } ]

2021-02-11

[ [ "Edery", "Ariel", "" ] ]

In previous work, black hole vortex solutions in Einstein gravity with AdS$_3$ background were found where the scalar matter profile had a singularity at the origin $r=0$. In this paper, we find numerically static vortex solutions where the scalar and gauge fields have a non-singular profile under Einstein gravity in an AdS$_3$ background. Vortices with different winding numbers $n$, VEV $v$ and cosmological constant $\Lambda$ are obtained. These vortices have positive mass and are not BTZ black holes as they have no event horizon. The mass is determined in two ways: by subtracting the numerical values of two separate asymptotic metrics and via an integral that is purely over the matter fields. The mass of the vortex increases as the cosmological constant becomes more negative and this coincides with the core of the vortex becoming smaller (compressed). We then consider the vortex with gravity in asymptotically flat spacetime for different values of the coupling $\alpha=1/(16 \pi G)$. At the origin, the spacetime has its highest curvature and there is no singularity. It transitions to an asymptotic conical spacetime with angular deficit that increases significantly as $\alpha$ decreases. For comparison, we also consider the vortex without gravity in flat spacetime. For this case, one cannot obtain the mass by the first method (subtracting two metrics) but remarkably, via a limiting procedure, one can obtain an integral mass formula. In the absence of gauge fields, there is a well-known logarithmic divergence in the energy of the vortex. With gravity, we present this divergence in a new light. We show that the metric acquires a logarithmic term which is the $2+1$ dimensional realization of the Newtonian gravitational potential when General Relativity is supplemented with a scalar field. This opens up novel possibilities which we discuss in the conclusion.

9.096765

9.173573

9.098188

8.983809

9.670679

9.735783

9.716305

9.355323

9.480358

10.304098

9.552025

9.124659

9.245337

9.20572

9.297895

8.966472

9.19976

8.900784

9.21682

9.37866

9.012956

1704.02323

Gavin Hartnett S

Oscar J. C. Dias, Gavin S. Hartnett, Benjamin E. Niehoff, Jorge E. Santos

Mass-deformed M2 branes in Stenzel space

33 pages, 3 figures

null

10.1007/JHEP11(2017)105

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We obtain finite-temperature M2 black branes in 11-dimensional supergravity, in a $G_4$-flux background whose self-dual part approaches a solution of Cveti\v{c}, Gibbons, L\"u, and Pope, based upon Stenzel's family of Ricci-flat K\"ahler deformed cones. Our solutions are asymptotically $AdS_4$ times a 7-dimensional Stiefel manifold $V_{5,2}$, and the branes are ``smeared'' to retain $SO(5)$ symmetry in the internal space. The solutions represent a mass deformation of the corresponding dual $CFT_3$, whose full description is at this time only partially-understood. We investigate the possibility of a confinement/de-confinement phase transition analogous to the $AdS_5 \times S^5$ case, and a possible Gregory-Laflamme type instability which could lead to polarised brane solutions which break $SO(5)$. We discuss possible consequences for AdS/CFT and the KKLT cosmological uplift mechanism.

[ { "created": "Fri, 7 Apr 2017 18:00:02 GMT", "version": "v1" } ]

2017-12-06

[ [ "Dias", "Oscar J. C.", "" ], [ "Hartnett", "Gavin S.", "" ], [ "Niehoff", "Benjamin E.", "" ], [ "Santos", "Jorge E.", "" ] ]

We obtain finite-temperature M2 black branes in 11-dimensional supergravity, in a $G_4$-flux background whose self-dual part approaches a solution of Cveti\v{c}, Gibbons, L\"u, and Pope, based upon Stenzel's family of Ricci-flat K\"ahler deformed cones. Our solutions are asymptotically $AdS_4$ times a 7-dimensional Stiefel manifold $V_{5,2}$, and the branes are ``smeared'' to retain $SO(5)$ symmetry in the internal space. The solutions represent a mass deformation of the corresponding dual $CFT_3$, whose full description is at this time only partially-understood. We investigate the possibility of a confinement/de-confinement phase transition analogous to the $AdS_5 \times S^5$ case, and a possible Gregory-Laflamme type instability which could lead to polarised brane solutions which break $SO(5)$. We discuss possible consequences for AdS/CFT and the KKLT cosmological uplift mechanism.

9.13431

9.38989

10.482857

9.00411

9.293983

8.987476

9.17816

9.105659

9.025651

11.790339

8.689359

8.493615

9.123384

8.283501

8.656633

8.691978

8.309024

8.524189

8.588929

8.922423

8.28091

hep-th/0407189

Brett McInnes

Answering a Basic Objection to Bang/Crunch Holography

29 pages, 3 figures, added references and comparison with "cyclic" cosmology, JHEP version

JHEP 0410:018,2004

10.1088/1126-6708/2004/10/018

null

hep-th astro-ph

null

The current cosmic acceleration does not imply that our Universe is basically de Sitter-like: in the first part of this work we argue that, by introducing matter into *anti-de Sitter* spacetime in a natural way, one may be able to account for the acceleration just as well. However, this leads to a Big Crunch, and the Euclidean versions of Bang/Crunch cosmologies have [apparently] disconnected conformal boundaries. As Maldacena and Maoz have recently stressed, this seems to contradict the holographic principle. In the second part we argue that this "double boundary problem" is a matter not of geometry but rather of how one chooses a conformal compactification: if one chooses to compactify in an unorthodox way, then the appearance of disconnectedness can be regarded as a *coordinate effect*. With the kind of matter we have introduced here, namely a Euclidean axion, the underlying compact Euclidean manifold has an unexpectedly non-trivial topology: it is in fact one of the 75 possible underlying manifolds of flat compact four-dimensional Euclidean spaces.

[ { "created": "Wed, 21 Jul 2004 14:03:09 GMT", "version": "v1" }, { "created": "Wed, 28 Jul 2004 09:07:42 GMT", "version": "v2" }, { "created": "Fri, 8 Oct 2004 06:02:41 GMT", "version": "v3" } ]

2010-12-23

[ [ "McInnes", "Brett", "" ] ]

The current cosmic acceleration does not imply that our Universe is basically de Sitter-like: in the first part of this work we argue that, by introducing matter into *anti-de Sitter* spacetime in a natural way, one may be able to account for the acceleration just as well. However, this leads to a Big Crunch, and the Euclidean versions of Bang/Crunch cosmologies have [apparently] disconnected conformal boundaries. As Maldacena and Maoz have recently stressed, this seems to contradict the holographic principle. In the second part we argue that this "double boundary problem" is a matter not of geometry but rather of how one chooses a conformal compactification: if one chooses to compactify in an unorthodox way, then the appearance of disconnectedness can be regarded as a *coordinate effect*. With the kind of matter we have introduced here, namely a Euclidean axion, the underlying compact Euclidean manifold has an unexpectedly non-trivial topology: it is in fact one of the 75 possible underlying manifolds of flat compact four-dimensional Euclidean spaces.

13.832918

15.918297

15.309517

13.735073

14.537983

15.100656

14.647706

13.964524

13.89248

15.796192

13.713151

13.320767

14.118914

13.759419

13.678114

13.374689

13.515115

13.578931

13.564741

13.915668

13.357751

1407.0987

James Gordon

James Gordon, Gordon W. Semenoff

World-line instantons and the Schwinger effect as a WKB exact path integral

16 pages; corrected and expanded localization argument in section III. Added references and expanded appendices. Corrected typos

null

10.1063/1.4908556

null

hep-th hep-ph math-ph math.MP

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

A detailed study of the semiclassical expansion of the world line path integral for a charged relativistic particle in a constant external electric field is presented. We show that the Schwinger formula for charged particle pair production is reproduced exactly by the semiclassical expansion around classical instanton solutions when the leading order of fluctuations is taken into account. We prove that all corrections to this leading approximation vanish and that the WKB approximation to the world line path integral is exact.

[ { "created": "Thu, 3 Jul 2014 17:14:40 GMT", "version": "v1" }, { "created": "Mon, 9 Oct 2017 20:49:21 GMT", "version": "v2" } ]

2017-10-11

[ [ "Gordon", "James", "" ], [ "Semenoff", "Gordon W.", "" ] ]

A detailed study of the semiclassical expansion of the world line path integral for a charged relativistic particle in a constant external electric field is presented. We show that the Schwinger formula for charged particle pair production is reproduced exactly by the semiclassical expansion around classical instanton solutions when the leading order of fluctuations is taken into account. We prove that all corrections to this leading approximation vanish and that the WKB approximation to the world line path integral is exact.

8.334779

7.480458

7.243923

6.822702

7.71386

7.361764

8.234845

7.40275

7.180317

7.304512

7.345139

7.386125

7.335633

7.16017

7.406458

7.364583

7.413867

7.110362

7.167527

7.551566

7.271042

hep-th/9811171

T. R. Govindarajan

T R Govindarajan

Knot Solitons

Latex 9 pages + 2 eps figures

Mod.Phys.Lett. A13 (1998) 3179-3184

10.1142/S0217732398003387

SU-4240-690, IMSc 98/07/40

hep-th

null

The existence of ring-like and knotted solitons in O(3) non-linear sigma model is analysed. The role of isotopy of knots/links in classifying such solitons is pointed out. Appearance of torus knot solitons is seen.

[ { "created": "Wed, 18 Nov 1998 16:57:39 GMT", "version": "v1" } ]

2009-10-31

[ [ "Govindarajan", "T R", "" ] ]

The existence of ring-like and knotted solitons in O(3) non-linear sigma model is analysed. The role of isotopy of knots/links in classifying such solitons is pointed out. Appearance of torus knot solitons is seen.

12.517497

9.362123

11.593303

9.71871

10.194758

10.274376

10.360405

11.292279

9.515697

10.388207

10.254524

11.191674

11.397128

10.322011

10.107633

10.507691

10.310148

10.471326

10.408398

11.747949

10.355821

1307.3115

Masaki Shigemori

Perturbative 3-charge microstate geometries in six dimensions

25 pages. v4: a typo corrected

JHEP 10 (2013) 169

10.1007/JHEP10(2013)169

YITP-13-66

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We construct a set of supersymmetric geometries that represent regular microstates of the D1-D5-P 3-charge system, using the solution generating technique of hep-th/0311092. These solutions are constructed as perturbations around the maximally rotating D1-D5 solution at the linear order, and depend on the coordinate of S^1 on which the D1- and D5-branes are wrapped. In the framework of six-dimensional supergravity developed by Gutowski, Martelli and Reall [hep-th/0306235], these solutions have a 4-dimensional base that depend on the S^1 coordinate v. The v-dependent base is expected of the superstratum solutions which are parametrized by arbitrary surfaces, and these solutions give a modest step toward their explicit construction.

[ { "created": "Thu, 11 Jul 2013 14:02:48 GMT", "version": "v1" }, { "created": "Mon, 12 Aug 2013 04:05:27 GMT", "version": "v2" }, { "created": "Sun, 27 Oct 2013 22:22:01 GMT", "version": "v3" }, { "created": "Wed, 20 Nov 2013 20:53:07 GMT", "version": "v4" } ]

2013-11-21

[ [ "Shigemori", "Masaki", "" ] ]

We construct a set of supersymmetric geometries that represent regular microstates of the D1-D5-P 3-charge system, using the solution generating technique of hep-th/0311092. These solutions are constructed as perturbations around the maximally rotating D1-D5 solution at the linear order, and depend on the coordinate of S^1 on which the D1- and D5-branes are wrapped. In the framework of six-dimensional supergravity developed by Gutowski, Martelli and Reall [hep-th/0306235], these solutions have a 4-dimensional base that depend on the S^1 coordinate v. The v-dependent base is expected of the superstratum solutions which are parametrized by arbitrary surfaces, and these solutions give a modest step toward their explicit construction.

9.582458

11.297843

11.963409

9.100062

9.845903

11.101814

9.966817

10.4189

10.062805

13.283237

10.037263

9.460995

9.615603

8.981498

8.953139

9.491304

9.089871

9.208288

8.690011

9.392578

9.277831

1912.07905

Mamiya Kawaguchi

Mamiya Kawaguchi and Ken Kikuchi

Anomalous transport independent of gauge fields

12 pages

Phys. Rev. Research 2, 033286 (2020)

10.1103/PhysRevResearch.2.033286

null

hep-th cond-mat.mes-hall gr-qc hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We show that three-dimensional trace anomalies lead to new universal anomalous transport effects on a conformally-flat spacetime with background scalar fields. In contrast to conventional anomalous transports in quantum chromodynamics (QCD) or quantum electrodynamics (QED), our current is independent of background gauge fields. Therefore, our anomalous transport survives even in the absence of vector-like external sources. By manipulating background fields, we suggest a setup to detect our anomalous transport. If one turns on scalar couplings in a finite interval and considers a conformal factor depending just on (conformal) time, we find anomalous transport localized at the interfaces of the interval flows perpendicularly to the interval. The magnitude of the currents is the same on the two interfaces but with opposite directions. Without the assumption on scalar couplings, and only assuming the conformal factor depending solely on (conformal) time as usually done in cosmology, one also finds the three-dimensional Hubble parameter naturally appears in our current.

[ { "created": "Tue, 17 Dec 2019 09:54:07 GMT", "version": "v1" }, { "created": "Fri, 28 Aug 2020 23:53:23 GMT", "version": "v2" } ]

2020-09-01

[ [ "Kawaguchi", "Mamiya", "" ], [ "Kikuchi", "Ken", "" ] ]

We show that three-dimensional trace anomalies lead to new universal anomalous transport effects on a conformally-flat spacetime with background scalar fields. In contrast to conventional anomalous transports in quantum chromodynamics (QCD) or quantum electrodynamics (QED), our current is independent of background gauge fields. Therefore, our anomalous transport survives even in the absence of vector-like external sources. By manipulating background fields, we suggest a setup to detect our anomalous transport. If one turns on scalar couplings in a finite interval and considers a conformal factor depending just on (conformal) time, we find anomalous transport localized at the interfaces of the interval flows perpendicularly to the interval. The magnitude of the currents is the same on the two interfaces but with opposite directions. Without the assumption on scalar couplings, and only assuming the conformal factor depending solely on (conformal) time as usually done in cosmology, one also finds the three-dimensional Hubble parameter naturally appears in our current.

12.941094

14.881733

12.948768

13.23361

14.565412

14.237411

13.989111

13.066082

13.080067

13.920248

13.146097

12.813236

13.074212

12.880115

12.922013

13.063248

12.571698

12.64912

13.052224

12.770691

12.203966

hep-th/0408238

L. Hoevenaars

L.K.Hoevenaars and R.Martini

Second order reductions of the WDVV Equations related to classical Lie algebras

6 pages, 1 table

Lett.Math.Phys. 71 (2005) 83-88

10.1007/s11005-004-6029-x

null

hep-th

null

We construct second order reductions of the generalized Witten-Dijkgraaf-Verlinde-Verlinde system based on simple Lie algebras. We discuss to what extent some of the symmetries of the WDVV system are preserved by the reduction.

[ { "created": "Tue, 31 Aug 2004 12:04:40 GMT", "version": "v1" } ]

2009-11-10

[ [ "Hoevenaars", "L. K.", "" ], [ "Martini", "R.", "" ] ]

We construct second order reductions of the generalized Witten-Dijkgraaf-Verlinde-Verlinde system based on simple Lie algebras. We discuss to what extent some of the symmetries of the WDVV system are preserved by the reduction.

7.099771

5.424242

7.164107

5.618359

5.311494

5.458678

5.406522

5.525071

5.787591

8.137403

5.165745

5.89281

6.701221

5.759222

5.531374

6.004703

5.520498

5.986448

6.114215

7.426762

5.515936

hep-th/0508168

M. B. Paranjape

G. Alexanian, M. B. Paranjape, I. Pr\'emont-Schwarz

Solitons in finite droplets of noncommutative Maxwell-Chern-Simons theory

18 pages, 7 figures, minor corrections, version accepted for publication, this time really!

JHEP0601:020,2006

10.1088/1126-6708/2006/01/020

UdeM-GPP-TH-05-138

hep-th

null

We find soliton solutions of the noncommutative Maxwell-Chern-Simons theory confined to a finite quantum Hall droplet. The solitons are exactly as hypothesized in \cite{Manu}. We also find new variations on these solitons. We compute their flux and their energies. The model we consider is directly related to the model proposed by Polychronakos\cite{Poly} and studied by Hellerman and Van Raamsdonk\cite{HvR} where it was shown that it is equivalent to the quantum Hall effect.

[ { "created": "Tue, 23 Aug 2005 15:06:11 GMT", "version": "v1" }, { "created": "Wed, 24 Aug 2005 16:56:23 GMT", "version": "v2" }, { "created": "Mon, 21 Nov 2005 17:00:12 GMT", "version": "v3" }, { "created": "Tue, 22 Nov 2005 04:20:09 GMT", "version": "v4" } ]

2009-11-11

[ [ "Alexanian", "G.", "" ], [ "Paranjape", "M. B.", "" ], [ "Prémont-Schwarz", "I.", "" ] ]

We find soliton solutions of the noncommutative Maxwell-Chern-Simons theory confined to a finite quantum Hall droplet. The solitons are exactly as hypothesized in \cite{Manu}. We also find new variations on these solitons. We compute their flux and their energies. The model we consider is directly related to the model proposed by Polychronakos\cite{Poly} and studied by Hellerman and Van Raamsdonk\cite{HvR} where it was shown that it is equivalent to the quantum Hall effect.

9.543653

7.822211

9.795318

8.544923

8.366291

7.313511

7.882163

8.320291

8.212516

9.973659

7.663313

8.166467

8.996559

8.123428

8.071397

8.09025

7.984563

7.871504

8.224813

8.987067

7.917118

1112.5856

Victor N. Pervushin

A. Yu. Cherny, A. E. Dorokhov, Nguyen Suan Han, V. N. Pervushin, and V. I. Shilin

Bound States in Gauge Theories as the Poincare Group Representations

30 pages, 2 figures

null

hep-th hep-ph math-ph math.MP

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The bound state generating functional is constructed in gauge theories. This construction is based on the Dirac Hamiltonian approach to gauge theories, the Poincar\'e group classification of fields and their nonlocal bound states, and the Markov-Yukawa constraint of irreducibility. The generating functional contains additional anomalous creations of pseudoscalar bound states: para-positronium in QED and mesons in QCD in the two gamma processes of the type of \gamma + \gamma = \pi_0+para-positronium. The functional allows us to establish physically clear and transparent relations between the perturbative QCD to its nonperturbative low energy model by means of normal ordering and the quark and gluon condensates. In the limit of small current quark masses, the Gell-Mann-Oakes-Renner relation is derived from the Schwinger-Dyson (SD) and Bethe-Salpeter (BS) equations. The constituent quark masses can be calculated from a self-consistent non-linear equation.

[ { "created": "Mon, 26 Dec 2011 13:31:29 GMT", "version": "v1" } ]

2011-12-30

[ [ "Cherny", "A. Yu.", "" ], [ "Dorokhov", "A. E.", "" ], [ "Han", "Nguyen Suan", "" ], [ "Pervushin", "V. N.", "" ], [ "Shilin", "V. I.", "" ] ]

The bound state generating functional is constructed in gauge theories. This construction is based on the Dirac Hamiltonian approach to gauge theories, the Poincar\'e group classification of fields and their nonlocal bound states, and the Markov-Yukawa constraint of irreducibility. The generating functional contains additional anomalous creations of pseudoscalar bound states: para-positronium in QED and mesons in QCD in the two gamma processes of the type of \gamma + \gamma = \pi_0+para-positronium. The functional allows us to establish physically clear and transparent relations between the perturbative QCD to its nonperturbative low energy model by means of normal ordering and the quark and gluon condensates. In the limit of small current quark masses, the Gell-Mann-Oakes-Renner relation is derived from the Schwinger-Dyson (SD) and Bethe-Salpeter (BS) equations. The constituent quark masses can be calculated from a self-consistent non-linear equation.

9.975839

11.378508

10.210049

9.333202

10.86187

10.697666

10.368781

10.64548

9.689768

9.786386

10.130714

9.734767

9.497791

9.600597

9.698357

9.775753

9.68849

9.816022

9.574539

9.558374

9.690156

0804.4440

Mar Bastero-Gil

Monica Borunda, Bert Janssen and Mar Bastero-Gil

Palatini versus metric formulation in higher curvature gravity

13 pages, latex. V2: reference added, major changes in section 3, conclusions partially corrected

JCAP0811:008,2008

10.1088/1475-7516/2008/11/008

UG-FT-225/08, CAFPE-95/08

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We compare the metric and the Palatini formalism to obtain the Einstein equations in the presence of higher-order curvature corrections that consist of contractions of the Riemann tensor, but not of its derivatives. We find that there is a class of theories for which the two formalisms are equivalent. This class contains the Palatini version of Lovelock theory, but also more Lagrangians that are not Lovelock, but respect certain symmetries. For the general case, we find that imposing the Levi-Civita connection as an Ansatz, the Palatini formalism is contained within the metric formalism, in the sense that any solution of the former also appears as a solution of the latter, but not necessarily the other way around. Finally we give the conditions the solutions of the metric equations should satisfy in order to solve the Palatini equations.

[ { "created": "Mon, 28 Apr 2008 16:24:59 GMT", "version": "v1" }, { "created": "Fri, 23 May 2008 12:01:00 GMT", "version": "v2" } ]

2008-12-18

[ [ "Borunda", "Monica", "" ], [ "Janssen", "Bert", "" ], [ "Bastero-Gil", "Mar", "" ] ]

We compare the metric and the Palatini formalism to obtain the Einstein equations in the presence of higher-order curvature corrections that consist of contractions of the Riemann tensor, but not of its derivatives. We find that there is a class of theories for which the two formalisms are equivalent. This class contains the Palatini version of Lovelock theory, but also more Lagrangians that are not Lovelock, but respect certain symmetries. For the general case, we find that imposing the Levi-Civita connection as an Ansatz, the Palatini formalism is contained within the metric formalism, in the sense that any solution of the former also appears as a solution of the latter, but not necessarily the other way around. Finally we give the conditions the solutions of the metric equations should satisfy in order to solve the Palatini equations.

5.672756

4.883836

5.648769

5.115247

5.023719

5.214997

5.191774

5.080242

5.105323

5.689233

4.842195

5.205282

5.278434

5.191768

5.082932

5.219264

5.333214

5.352177

5.274251

5.392689

5.164756

hep-th/9203012

null

John Ellis, N.E. Mavromatos and D.V. Nanopoulos

Measuring the $W$-hair of String Black Holes

23 pages

Phys.Lett.B284:43-49,1992

10.1016/0370-2693(92)91922-V

null

hep-th

null

We have argued previously that the infinitely many gauge symmetries of string theory provide an infinite set of conserved (gauge) quantum numbers ($W$-hair) which characterise black hole states and maintain quantum coherence. Here we study ways of measuring the $W$-hair of spherically-symmetric four-dimensional objects with event horizons, treated as effectively two-dimensional string black holes. Measurements can be done either through the s-wave scattering of light particles off the string black-hole background, or through interference experiments of Aharonov-Bohm type. In the first type of measurement, selection rules

[ { "created": "Thu, 5 Mar 1992 11:38:51 GMT", "version": "v1" } ]

2009-09-11

[ [ "Ellis", "John", "" ], [ "Mavromatos", "N. E.", "" ], [ "Nanopoulos", "D. V.", "" ] ]

We have argued previously that the infinitely many gauge symmetries of string theory provide an infinite set of conserved (gauge) quantum numbers ($W$-hair) which characterise black hole states and maintain quantum coherence. Here we study ways of measuring the $W$-hair of spherically-symmetric four-dimensional objects with event horizons, treated as effectively two-dimensional string black holes. Measurements can be done either through the s-wave scattering of light particles off the string black-hole background, or through interference experiments of Aharonov-Bohm type. In the first type of measurement, selection rules

13.239427

9.860715

12.647223

10.321424

9.190155

8.808206

9.114452

10.278234

10.45916

13.756664

10.74521

12.037163

11.929001

11.697631

11.371011

11.310316

11.586206

11.597839

11.9425

11.825514

11.488951

hep-th/9212056

null

S.A.Frolov, A.A.Slavnov and C.Sochichiu

On the SO(N) symmetry of the chiral SU(N) Yang--Mills model

9 pages, preprint PAR-LPTHE 92-48 (DECEMBER 1992), Latex

Phys.Lett. B301 (1993) 59-66

10.1016/0370-2693(93)90721-S

null

hep-th

null

The posibility of quantizing the anomalous $SU(N)$ Yang--Mills model preserving the symmetry under the orthogonal subgroup is indicated. The corresponding Wess--Zumino action (1-cocycle) possesses the additional $SO(N)$ symmetry and can be expressed in terms of chiral fields taking values in the homogeneous space $SU(N)/SO(N)$. The modified anomaly and the constraints commutator (2-cocycle) are calculated.

[ { "created": "Wed, 9 Dec 1992 16:34:15 GMT", "version": "v1" } ]

2009-10-22

[ [ "Frolov", "S. A.", "" ], [ "Slavnov", "A. A.", "" ], [ "Sochichiu", "C.", "" ] ]

The posibility of quantizing the anomalous $SU(N)$ Yang--Mills model preserving the symmetry under the orthogonal subgroup is indicated. The corresponding Wess--Zumino action (1-cocycle) possesses the additional $SO(N)$ symmetry and can be expressed in terms of chiral fields taking values in the homogeneous space $SU(N)/SO(N)$. The modified anomaly and the constraints commutator (2-cocycle) are calculated.

12.148785

12.112309

12.937196

10.69593

11.463691

11.724206

11.492995

13.144318

10.64461

13.319528

11.28101

10.846632

11.578245

10.877787

11.618408

11.096439

11.887892

11.261398

10.70612

11.362873

11.499248

2112.13616

Sanefumi Moriyama

Tomohiro Furukawa, Kazunobu Matsumura, Sanefumi Moriyama, Tomoki Nakanishi

Duality Cascades and Affine Weyl Groups

51 pages, 12 eps figures; v3: published version

null

10.1007/JHEP05(2022)132

NITEP 127, OCU-PHYS 554

hep-th math-ph math.MP

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Brane configurations in a circle allow subsequent applications of the Hanany-Witten transitions, which are known as duality cascades. By studying the process of duality cascades corresponding to quantum curves with symmetries of Weyl groups, we find a hidden structure of affine Weyl groups. Namely, the fundamental domain of duality cascades consisting of all the final destinations is characterized by the affine Weyl chamber and the duality cascades are realized as translations of the affine Weyl group, where the overall rank in the brane configuration associates to the grading operator of the affine algebra. The structure of the affine Weyl group guarantees the finiteness of the processes and the uniqueness of the endpoint of the duality cascades. In addition to the original duality cascades, we can generalize to the cases with Fayet-Iliopoulos parameters. There we can utilize the Weyl group to analyze the fundamental domain similarly and find that the fundamental domain continues to be the affine Weyl chamber. We further interpret the Weyl group we impose as a "half" of the Hanany-Witten transition.

[ { "created": "Mon, 27 Dec 2021 11:36:15 GMT", "version": "v1" }, { "created": "Tue, 18 Jan 2022 05:41:53 GMT", "version": "v2" }, { "created": "Mon, 30 May 2022 05:30:28 GMT", "version": "v3" } ]

2022-06-08

[ [ "Furukawa", "Tomohiro", "" ], [ "Matsumura", "Kazunobu", "" ], [ "Moriyama", "Sanefumi", "" ], [ "Nakanishi", "Tomoki", "" ] ]

Brane configurations in a circle allow subsequent applications of the Hanany-Witten transitions, which are known as duality cascades. By studying the process of duality cascades corresponding to quantum curves with symmetries of Weyl groups, we find a hidden structure of affine Weyl groups. Namely, the fundamental domain of duality cascades consisting of all the final destinations is characterized by the affine Weyl chamber and the duality cascades are realized as translations of the affine Weyl group, where the overall rank in the brane configuration associates to the grading operator of the affine algebra. The structure of the affine Weyl group guarantees the finiteness of the processes and the uniqueness of the endpoint of the duality cascades. In addition to the original duality cascades, we can generalize to the cases with Fayet-Iliopoulos parameters. There we can utilize the Weyl group to analyze the fundamental domain similarly and find that the fundamental domain continues to be the affine Weyl chamber. We further interpret the Weyl group we impose as a "half" of the Hanany-Witten transition.

9.812771

10.220612

11.167217

9.136045

9.568587

9.338889

10.053126

8.857969

9.14396

11.354998

8.948331

9.720964

9.611513

9.254622

9.509141

9.697186

9.474114

9.486085

9.42359

9.359108

9.334834

1810.06489

Ulf Lindstr\"om

Chris Hull and Ulf Lindstr\"om

The Generalised Complex Geometry of $(p,q)$ Hermitian Geometries

20 pages

null

10.1007/s00220-019-03488-3

Imperial College preprint Imperial-TP-2018-CH-02; Uppsala University preprint UUITP-46/18

hep-th math.DG

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We define $(p,q)$ hermitian geometry as the target space geometry of the two dimensional $(p,q)$ supersymmetric sigma model. This includes generalised K\"{a}hler geometry for $(2,2)$, generalised hyperk\"{a}hler geometry for $(4,2)$, strong K\"{a}hler with torsion geometry for $(2,1)$ and strong hyperk\"{a}hler with torsion geometry for $(4,1)$. We provide a generalised complex geometry formulation of hermitian geometry, generalising Gualtieri's formulation of the $(2,2)$ case. Our formulation involves a chiral version of generalised complex structure and we provide explicit formulae for the map to generalised geometry.

[ { "created": "Mon, 15 Oct 2018 16:01:44 GMT", "version": "v1" } ]

2020-04-22

[ [ "Hull", "Chris", "" ], [ "Lindström", "Ulf", "" ] ]

We define $(p,q)$ hermitian geometry as the target space geometry of the two dimensional $(p,q)$ supersymmetric sigma model. This includes generalised K\"{a}hler geometry for $(2,2)$, generalised hyperk\"{a}hler geometry for $(4,2)$, strong K\"{a}hler with torsion geometry for $(2,1)$ and strong hyperk\"{a}hler with torsion geometry for $(4,1)$. We provide a generalised complex geometry formulation of hermitian geometry, generalising Gualtieri's formulation of the $(2,2)$ case. Our formulation involves a chiral version of generalised complex structure and we provide explicit formulae for the map to generalised geometry.

4.20398

3.952188

4.960107

3.90747

4.096908

4.352862

4.168124

3.765221

4.016178

4.960357

3.699567

3.940099

4.555663

4.023737

4.004632

3.912287

3.913467

4.071356

3.925341

4.558418

4.033168

hep-th/0512061

Leopoldo A. Pando Zayas

S. Benvenuti, M. Mahato, L. A. Pando Zayas and Y. Tachikawa

The Gauge/Gravity Theory of Blown up Four Cycles

22+14 pages, 7 figures

null

MCTP-05-97, UT-05-18, NSF-KITP-05-105

hep-th

null

We present an explicit supersymmetric deformation of supergravity backgrounds describing D3-branes on Calabi-Yau cones. From the geometrical point of view, it corresponds to blowing up a 4-cycle in the Calabi-Yau and can be done universally. In the field theory, we identify this deformation with motion on non-mesonic directions in the full moduli space of vacua. For the case of a Z_2 orbifold of the conifold, we discuss an explicit gravity solution with two deformation parameters: one corresponding to blowing up a 2-cycle and one corresponding to blowing up a 4-cycle. The generic case where the Calabi-Yau is toric is also discussed in detail. Quite generally, the order parameter of these 4-cycle deformations is a dimension six operator. We also consider probe strings which show linear confinement and probe D7 branes which help in understanding the behavior far in the infrared.

[ { "created": "Tue, 6 Dec 2005 19:12:30 GMT", "version": "v1" } ]

2007-05-23

[ [ "Benvenuti", "S.", "" ], [ "Mahato", "M.", "" ], [ "Zayas", "L. A. Pando", "" ], [ "Tachikawa", "Y.", "" ] ]

We present an explicit supersymmetric deformation of supergravity backgrounds describing D3-branes on Calabi-Yau cones. From the geometrical point of view, it corresponds to blowing up a 4-cycle in the Calabi-Yau and can be done universally. In the field theory, we identify this deformation with motion on non-mesonic directions in the full moduli space of vacua. For the case of a Z_2 orbifold of the conifold, we discuss an explicit gravity solution with two deformation parameters: one corresponding to blowing up a 2-cycle and one corresponding to blowing up a 4-cycle. The generic case where the Calabi-Yau is toric is also discussed in detail. Quite generally, the order parameter of these 4-cycle deformations is a dimension six operator. We also consider probe strings which show linear confinement and probe D7 branes which help in understanding the behavior far in the infrared.

10.338508

10.791826

12.456738

10.08151

10.885098

10.151311

10.24032

9.744225

9.973038

12.535073

9.344398

10.028252

10.776237

10.01207

10.094972

10.346911

10.014426

9.78048

9.818438

10.965853

9.810425

1503.05527

Novikov Oleg

Alexander A. Andrianov, Oleg O. Novikov, Chen Lan

Quantum cosmology of the multi-field scalar matter: some exact solutions

16 pages

Theor. Math. Phys. 184 (2015) 1224-1233

10.1007/s11232-015-0328-5

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We consider the gravity interacting with matter scalar fields and quantized in the minisuperspace approach in which the wave functional is described by the Wheeler-DeWitt equations (WdW). Assuming the domination of the homogeneous and isotropic geometry the leading contributions to the wave functional in the approximation of the minisuperspace with Friedmann-Robertson-Walker metric (FRW) and spatially uniform scalar fields are considered. The model of several scalar fields with exponential potentials and kinetic terms admitting such a special mixing that ultimately it is possible to separate the variables in the WdW equation and to find its exact solution in terms of the special functions is proposed. The semiclassical approximation is thoroughly investigated and the boundary conditions permitting the physical solution selection for classical cosmologies are chosen.

[ { "created": "Wed, 18 Mar 2015 18:31:19 GMT", "version": "v1" } ]

2016-04-08

[ [ "Andrianov", "Alexander A.", "" ], [ "Novikov", "Oleg O.", "" ], [ "Lan", "Chen", "" ] ]

We consider the gravity interacting with matter scalar fields and quantized in the minisuperspace approach in which the wave functional is described by the Wheeler-DeWitt equations (WdW). Assuming the domination of the homogeneous and isotropic geometry the leading contributions to the wave functional in the approximation of the minisuperspace with Friedmann-Robertson-Walker metric (FRW) and spatially uniform scalar fields are considered. The model of several scalar fields with exponential potentials and kinetic terms admitting such a special mixing that ultimately it is possible to separate the variables in the WdW equation and to find its exact solution in terms of the special functions is proposed. The semiclassical approximation is thoroughly investigated and the boundary conditions permitting the physical solution selection for classical cosmologies are chosen.

11.465837

11.995915

11.177568

11.069383

11.774121

11.389935

12.158927

10.927281

11.652449

11.400872

11.582154

11.55074

11.157211

11.265931

11.201833

11.607898

11.536593

11.38759

11.546029

11.355853

11.004985

2105.02255

Davide Bufalini

Davide Bufalini, Sergio Iguri, Nicolas Kovensky and David Turton

Black hole microstates from the worldsheet

43 pages, v3: typos corrected

JHEP 2108 (2021) 011

10.1007/JHEP08(2021)011

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Recently an exact worldsheet description of strings propagating in certain black hole microstate geometries was constructed in terms of null-gauged WZW models. In this paper we consider a family of such coset models, in which the currents being gauged are specified by a set of parameters that a priori take arbitrary values. We show that consistency of the spectrum of the worldsheet CFT implies a set of quantisation conditions and parity restrictions on the gauging parameters. We also derive these constraints from an independent geometrical analysis of smoothness, absence of horizons and absence of closed timelike curves. This allows us to prove that the complete set of consistent backgrounds in this class of models is precisely the general family of (NS5-decoupled) non-BPS solutions known as the JMaRT solutions, together with their various (BPS and non-BPS) limits. We clarify several aspects of these backgrounds by expressing their six-dimensional solutions explicitly in terms of five non-negative integers and a single length-scale. Finally we study non-trivial two-charge limits, and exhibit a novel set of non-BPS supergravity solutions describing bound states of NS5 branes carrying momentum charge.

[ { "created": "Wed, 5 May 2021 18:01:18 GMT", "version": "v1" }, { "created": "Fri, 6 Aug 2021 15:46:34 GMT", "version": "v2" }, { "created": "Thu, 27 Oct 2022 10:57:30 GMT", "version": "v3" } ]

2022-10-28

[ [ "Bufalini", "Davide", "" ], [ "Iguri", "Sergio", "" ], [ "Kovensky", "Nicolas", "" ], [ "Turton", "David", "" ] ]

Recently an exact worldsheet description of strings propagating in certain black hole microstate geometries was constructed in terms of null-gauged WZW models. In this paper we consider a family of such coset models, in which the currents being gauged are specified by a set of parameters that a priori take arbitrary values. We show that consistency of the spectrum of the worldsheet CFT implies a set of quantisation conditions and parity restrictions on the gauging parameters. We also derive these constraints from an independent geometrical analysis of smoothness, absence of horizons and absence of closed timelike curves. This allows us to prove that the complete set of consistent backgrounds in this class of models is precisely the general family of (NS5-decoupled) non-BPS solutions known as the JMaRT solutions, together with their various (BPS and non-BPS) limits. We clarify several aspects of these backgrounds by expressing their six-dimensional solutions explicitly in terms of five non-negative integers and a single length-scale. Finally we study non-trivial two-charge limits, and exhibit a novel set of non-BPS supergravity solutions describing bound states of NS5 branes carrying momentum charge.

10.032848

9.491431

11.180188

9.180057

9.624379

10.265706

9.527282

9.245391

9.450323

12.50844

9.282413

9.697436

10.10093

9.552945

9.640656

9.813994

9.607197

9.662288

9.844453

10.376054

9.483274

1708.00403

Vakhid Gani

Ekaterina Belendryasova, Vakhid A. Gani

Scattering of the $\varphi^8$ kinks with power-law asymptotics

26 pages, 8 figures; v2: minor changes to match version published in Communications in Nonlinear Science and Numerical Simulation

Commun. Nonlinear Sci. Numer. Simulat. 67 (2019) 414

10.1016/j.cnsns.2018.07.030

null

hep-th cond-mat.mtrl-sci math-ph math.MP nlin.PS

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study the scattering of the $\varphi^8$ kinks off each other, namely, we consider those $\varphi^8$ kinks that have power-law asymptotics. The slow power-law fall-off leads to a long-range interaction between the kink and the antikink. We investigate how the scattering scenarios depend on the initial velocities of the colliding kinks. In particular, we observe the `escape windows' -- the escape of the kinks after two or more collisions, explained by the resonant energy exchange between the translational and vibrational modes. In order to elucidate this phenomenon, we also analyze the excitation spectra of a solitary kink and of a composite kink+antikink configuration.

[ { "created": "Tue, 1 Aug 2017 16:02:55 GMT", "version": "v1" }, { "created": "Wed, 1 Aug 2018 06:33:44 GMT", "version": "v2" } ]

2018-08-02

[ [ "Belendryasova", "Ekaterina", "" ], [ "Gani", "Vakhid A.", "" ] ]

We study the scattering of the $\varphi^8$ kinks off each other, namely, we consider those $\varphi^8$ kinks that have power-law asymptotics. The slow power-law fall-off leads to a long-range interaction between the kink and the antikink. We investigate how the scattering scenarios depend on the initial velocities of the colliding kinks. In particular, we observe the `escape windows' -- the escape of the kinks after two or more collisions, explained by the resonant energy exchange between the translational and vibrational modes. In order to elucidate this phenomenon, we also analyze the excitation spectra of a solitary kink and of a composite kink+antikink configuration.

6.840103

6.505991

7.909045

6.890891

7.01179

6.472328

6.670566

6.562203

6.631288

8.118785

6.60186

6.848022

7.202475

7.152745

7.047668

6.905558

6.922621

7.001635

6.845406

7.386414

7.005118

1602.08923

Masaru Kamata

Masaru Kamata, Masayoshi Sekiguchi, and Yuuki Tadokoro

Nonlinear $O(3)$ sigma model in discrete complex analysis

v1. 10 pages, 2 figures v2. New title, 19 pages and 3 figures, Sec.2.3 (EL eq. and its continuum limit) and Sec.3 (polar lattice) added v3. 26 pages, 7 figures, 1 table, an appropriate weight function introduced v4. 21 pages, 6 figures, discrete power functions introduced, Sec.6 (polar lattice) moved to a next coming paper

null

NIT-KMP-202201

hep-th math-ph math.MP nlin.SI

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We present a discrete version of the two-dimensional nonlinear $O(3)$ sigma model examined by Belavin and Polyakov. We formulate it by means of Mercat's discrete complex analysis and its elaboration by Bobenko and G\"unther. We define a weighted discrete Dirichlet energy and area on a planar quad-graph and derive an inequality between them. We write $f$ for the complex function obtained from the unit vector field of the model. The inequality is saturated if and only if the $f$ is discrete (anti-)holomorphic. By using a weight $W$ obtained from a kind of tiling of the sphere $S^2$, the weighted discrete area ${\cal A}^{W}_{\diamondsuit}(f)$ admits a geometrical interpretation, namely, ${\cal A}^{W}_{\diamondsuit}(f)=4 \pi N $ for a topological quantum number $N \in \pi_2(S^2)$. This ensures the topological stability of the solution described by the $f$, and we have the quantized energy $E^{W}_{\diamondsuit}(f)=|{\cal A}^{W}_{\diamondsuit}(f)|=4 \pi |N| $. For quad-graphs with orthogonal diagonals, we show that the discrete (anti-)holomorphic function $f$ satisfies the Euler--Lagrange equation derived from the weighted discrete Dirichlet energy. On some rhombic lattices, the discrete power functions $z^{(N)}$ give the topological quantum number $N$. Moreover, the weighted discrete Dirichlet energy, area, and Euler--Lagrange equation tend to their continuous forms as the lattice spacings tend to zero.

[ { "created": "Mon, 29 Feb 2016 12:02:34 GMT", "version": "v1" }, { "created": "Mon, 9 Oct 2017 12:33:54 GMT", "version": "v2" }, { "created": "Wed, 3 Feb 2021 08:40:05 GMT", "version": "v3" }, { "created": "Wed, 26 Oct 2022 02:51:42 GMT", "version": "v4" } ]

2022-10-27

[ [ "Kamata", "Masaru", "" ], [ "Sekiguchi", "Masayoshi", "" ], [ "Tadokoro", "Yuuki", "" ] ]

We present a discrete version of the two-dimensional nonlinear $O(3)$ sigma model examined by Belavin and Polyakov. We formulate it by means of Mercat's discrete complex analysis and its elaboration by Bobenko and G\"unther. We define a weighted discrete Dirichlet energy and area on a planar quad-graph and derive an inequality between them. We write $f$ for the complex function obtained from the unit vector field of the model. The inequality is saturated if and only if the $f$ is discrete (anti-)holomorphic. By using a weight $W$ obtained from a kind of tiling of the sphere $S^2$, the weighted discrete area ${\cal A}^{W}_{\diamondsuit}(f)$ admits a geometrical interpretation, namely, ${\cal A}^{W}_{\diamondsuit}(f)=4 \pi N $ for a topological quantum number $N \in \pi_2(S^2)$. This ensures the topological stability of the solution described by the $f$, and we have the quantized energy $E^{W}_{\diamondsuit}(f)=|{\cal A}^{W}_{\diamondsuit}(f)|=4 \pi |N| $. For quad-graphs with orthogonal diagonals, we show that the discrete (anti-)holomorphic function $f$ satisfies the Euler--Lagrange equation derived from the weighted discrete Dirichlet energy. On some rhombic lattices, the discrete power functions $z^{(N)}$ give the topological quantum number $N$. Moreover, the weighted discrete Dirichlet energy, area, and Euler--Lagrange equation tend to their continuous forms as the lattice spacings tend to zero.

7.138566

8.143864

8.084621

7.206182

7.445427

7.661629

7.450742

7.085938

7.278603

8.12466

7.038434

7.081151

7.224874

6.919749

6.991029

6.937289

6.998435

6.970611

7.145269

7.18136

7.073793

2012.15824

David McGady

Gregory Gold, David A. McGady, Subodh P. Patil, Valeri Vardanyan

Backreaction of Schwinger pair creation in massive QED$_2$

21 pages, 2 figures; several additional references and enhanced discussion. Matches JHEP version

JHEP 10 (2021) 072

10.1007/JHEP10(2021)072

null

hep-th hep-ph

http://creativecommons.org/licenses/by/4.0/

Particle-antiparticle pairs can be produced by background electric fields via the Schwinger mechanism provided they are unconfined. If, as in QED in (3+1)-$d$ these particles are massive, the particle production rate is exponentially suppressed below a threshold field strength. Above this threshold, the energy for pair creation must come from the electric field itself which ought to eventually relax to the threshold strength. Calculating this relaxation in a self-consistent manner, however, is difficult. Chu and Vachaspati addressed this problem in the context of capacitor discharge in massless QED$_2$ [1] by utilizing bosonization in two-dimensions. When the bare fermions are massless, the dual bosonized theory is free and capacitor discharge can be analyzed exactly [1], however, special care is required in its interpretation given that the theory exhibits confinement. In this paper we reinterpret the findings of [1], where the capacitors Schwinger-discharge via electrically neutral dipolar meson-production, and generalize this to the case where the fermions have bare masses. Crucially, we note that when the initial charge of the capacitor is large compared to the charge of the fermions, $Q \gg e$, the classical equation of motion for the bosonized model accurately characterizes the dynamics of discharge. For massless QED$_2$, we find that the discharge is suppressed below a critical plate separation that is commensurate with the length scale associated with the meson dipole moment. For massive QED$_2$, we find in addition, a mass threshold familiar from (3+1)-$d$, and show the electric field relaxes to a final steady state with a magnitude proportional to the initial charge. We discuss the wider implications of our findings and identify challenges in extending this treatment to higher dimensions.

[ { "created": "Thu, 31 Dec 2020 18:50:15 GMT", "version": "v1" }, { "created": "Fri, 29 Oct 2021 12:33:17 GMT", "version": "v2" } ]

2021-11-01

[ [ "Gold", "Gregory", "" ], [ "McGady", "David A.", "" ], [ "Patil", "Subodh P.", "" ], [ "Vardanyan", "Valeri", "" ] ]

Particle-antiparticle pairs can be produced by background electric fields via the Schwinger mechanism provided they are unconfined. If, as in QED in (3+1)-$d$ these particles are massive, the particle production rate is exponentially suppressed below a threshold field strength. Above this threshold, the energy for pair creation must come from the electric field itself which ought to eventually relax to the threshold strength. Calculating this relaxation in a self-consistent manner, however, is difficult. Chu and Vachaspati addressed this problem in the context of capacitor discharge in massless QED$_2$ [1] by utilizing bosonization in two-dimensions. When the bare fermions are massless, the dual bosonized theory is free and capacitor discharge can be analyzed exactly [1], however, special care is required in its interpretation given that the theory exhibits confinement. In this paper we reinterpret the findings of [1], where the capacitors Schwinger-discharge via electrically neutral dipolar meson-production, and generalize this to the case where the fermions have bare masses. Crucially, we note that when the initial charge of the capacitor is large compared to the charge of the fermions, $Q \gg e$, the classical equation of motion for the bosonized model accurately characterizes the dynamics of discharge. For massless QED$_2$, we find that the discharge is suppressed below a critical plate separation that is commensurate with the length scale associated with the meson dipole moment. For massive QED$_2$, we find in addition, a mass threshold familiar from (3+1)-$d$, and show the electric field relaxes to a final steady state with a magnitude proportional to the initial charge. We discuss the wider implications of our findings and identify challenges in extending this treatment to higher dimensions.

10.022038

10.144762

10.224129

10.040793

10.475307

10.38054

10.372814

10.136585

10.099666

10.680358

9.52044

9.798847

9.732666

9.394402

9.57

9.79608

9.638433

9.669203

9.698745

9.760538

9.587994

1404.0176

Dietmar Klemm

Dietmar Klemm and Andrea Maiorana

Fluid dynamics on ultrastatic spacetimes and dual black holes

43 pages, many figures. v2: Final version to appear in JHEP

null

10.1007/JHEP07(2014)122

IFUM-1023-FT

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We show that the classification of shearless and incompressible stationary fluid flows on ultrastatic manifolds is equivalent to classifying the isometries of the spatial sections. For a flow on R x S$^2$ this leaves only one possibility, since on the 2-sphere all Killing fields are conjugate to each other, and it is well-known that the gravity dual of such a (conformal) fluid is the spherical KNAdS$_4$ black hole. On the other hand, in R x H$^2$ the situation is more complicated, since the isometry group of H$^2$ admits elliptic, parabolic and hyperbolic elements. One might thus ask what the gravity duals of the flows corresponding to these three different cases are. Answering this question is one of the scopes of this paper. In particular we identify the black hole dual to a fluid that is purely translating on the hyperbolic plane. Although this lies within the Carter-Plebanski (CP) class, it has never been studied in the literature before, and represents thus in principle a new black hole solution in AdS$_4$. For a rigidly rotating fluid in R x H$^2$ (holographically dual to the hyperbolic KNAdS$_4$ solution), there is a certain radius where the velocity reaches the speed of light, and thus the fluid can cover only the region within this radius. Quite remarkably, it turns out that the boundary of the hyperbolic KNAdS$_4$ black hole is conformal to exactly that part of R x H$^2$ in which the fluid velocity does not exceed the speed of light. We extend these results to establish a precise mapping between possible flows on ultrastatic spacetimes (with constant curvature spatial sections) and the parameter space of the CP solution. Finally, we show that the alternative description of the hyperbolic KNAdS$_4$ black hole in terms of fluid mechanics on R x S$^2$ or on flat space is dynamical and consists of a contracting or expanding vortex.

[ { "created": "Tue, 1 Apr 2014 09:30:46 GMT", "version": "v1" }, { "created": "Wed, 9 Jul 2014 09:31:35 GMT", "version": "v2" } ]

2015-06-19

[ [ "Klemm", "Dietmar", "" ], [ "Maiorana", "Andrea", "" ] ]

We show that the classification of shearless and incompressible stationary fluid flows on ultrastatic manifolds is equivalent to classifying the isometries of the spatial sections. For a flow on R x S$^2$ this leaves only one possibility, since on the 2-sphere all Killing fields are conjugate to each other, and it is well-known that the gravity dual of such a (conformal) fluid is the spherical KNAdS$_4$ black hole. On the other hand, in R x H$^2$ the situation is more complicated, since the isometry group of H$^2$ admits elliptic, parabolic and hyperbolic elements. One might thus ask what the gravity duals of the flows corresponding to these three different cases are. Answering this question is one of the scopes of this paper. In particular we identify the black hole dual to a fluid that is purely translating on the hyperbolic plane. Although this lies within the Carter-Plebanski (CP) class, it has never been studied in the literature before, and represents thus in principle a new black hole solution in AdS$_4$. For a rigidly rotating fluid in R x H$^2$ (holographically dual to the hyperbolic KNAdS$_4$ solution), there is a certain radius where the velocity reaches the speed of light, and thus the fluid can cover only the region within this radius. Quite remarkably, it turns out that the boundary of the hyperbolic KNAdS$_4$ black hole is conformal to exactly that part of R x H$^2$ in which the fluid velocity does not exceed the speed of light. We extend these results to establish a precise mapping between possible flows on ultrastatic spacetimes (with constant curvature spatial sections) and the parameter space of the CP solution. Finally, we show that the alternative description of the hyperbolic KNAdS$_4$ black hole in terms of fluid mechanics on R x S$^2$ or on flat space is dynamical and consists of a contracting or expanding vortex.

6.77849

7.17847

7.149542

6.799333

7.683056

6.965405

6.888428

6.728442

6.736479

7.801251

6.723786

6.340374

6.713176

6.365943

6.45852

6.497082

6.499207

6.506554

6.332551

6.713601

6.455585

2403.17071

Davide Rovere

Kodaira-Spencer Anomalies with Stora-Zumino Method

29 pages

null

hep-th

http://creativecommons.org/licenses/by/4.0/

Holomorphic diffeomorphism anomalies of $2\,n$ dimensional gravitational theories in Beltrami parametrisation (Kodaira-Spencer anomalies) are computed in the BRST framework, using an extension of the Stora-Zumino method. This method, which allows to compute anomalies in a very concise way, makes manifest the topological origin of anomalies. They have a clear geometric interpretation, since they are expressed in terms of Chern polynomials and Pontryagin invariants. The key ingredient is the formulation of the BRST transformations in terms of polyforms, whose total degree is the sum of the form degree and of the ghost number. This approach simplifies significantly the analysis available in literature and it allows to compute many other solutions. Namely, an anomaly, which was computed using different methods, is proved to be a consistent BRST anomaly, disproving a conclusion in a previous analysis.

[ { "created": "Mon, 25 Mar 2024 18:05:00 GMT", "version": "v1" } ]

2024-03-27

[ [ "Rovere", "Davide", "" ] ]

Holomorphic diffeomorphism anomalies of $2\,n$ dimensional gravitational theories in Beltrami parametrisation (Kodaira-Spencer anomalies) are computed in the BRST framework, using an extension of the Stora-Zumino method. This method, which allows to compute anomalies in a very concise way, makes manifest the topological origin of anomalies. They have a clear geometric interpretation, since they are expressed in terms of Chern polynomials and Pontryagin invariants. The key ingredient is the formulation of the BRST transformations in terms of polyforms, whose total degree is the sum of the form degree and of the ghost number. This approach simplifies significantly the analysis available in literature and it allows to compute many other solutions. Namely, an anomaly, which was computed using different methods, is proved to be a consistent BRST anomaly, disproving a conclusion in a previous analysis.

11.508333

11.814296

11.478282

10.771071

11.488093

11.842435

11.503119

11.045813

11.061908

13.643866

11.128652

11.086603

10.713834

10.420592

11.130618

11.256518

10.930104

10.816923

10.704055

11.194506

10.772176

hep-th/9404029

null

Wolfgang Weich

The Hilbert Space Representations for SO_q(3)-symmetric quantum mechanics

24 pages, report LMU-TPW 1994-5

null

hep-th

null

The observable algebra O of SO_q(3)-symmetric quantum mechanics is generated by the coordinates of momentum and position spaces (which are both isomorphic to the SO_q(3)-covariant real quantum space R_q^3). Their interrelations are determined with the quantum group covariant differential calculus. For a quantum mechanical representation of O on a Hilbert space essential self- adjointness of specified observables and compatibility of the covariance of the observable algebra with the action of the unitary continuous corepresent- ation operator of the compact quantum matrix group SO_q(3) are required. It is shown that each such quantum mechanical representation extends uniquely to a self-adjoint representation of O. All these self-adjoint representations are constructed. As an example an SO_q(3)-invariant Coulomb potential is intro- duced, the corresponding Hamiltonian proved to be essentially self-adjoint and its negative eigenvalues calculated with the help of a q-deformed Lenz-vector.

[ { "created": "Wed, 6 Apr 1994 11:35:35 GMT", "version": "v1" } ]

2016-09-06

[ [ "Weich", "Wolfgang", "" ] ]

The observable algebra O of SO_q(3)-symmetric quantum mechanics is generated by the coordinates of momentum and position spaces (which are both isomorphic to the SO_q(3)-covariant real quantum space R_q^3). Their interrelations are determined with the quantum group covariant differential calculus. For a quantum mechanical representation of O on a Hilbert space essential self- adjointness of specified observables and compatibility of the covariance of the observable algebra with the action of the unitary continuous corepresent- ation operator of the compact quantum matrix group SO_q(3) are required. It is shown that each such quantum mechanical representation extends uniquely to a self-adjoint representation of O. All these self-adjoint representations are constructed. As an example an SO_q(3)-invariant Coulomb potential is intro- duced, the corresponding Hamiltonian proved to be essentially self-adjoint and its negative eigenvalues calculated with the help of a q-deformed Lenz-vector.

10.414659

10.324974

11.385341

11.381185

11.214288

10.325501

11.589632

10.775986

10.357596

12.560107

11.048076

10.111723

10.761701

10.312905

10.422812

10.309232

10.378803

10.18606

10.299459

10.849216

10.438389

1409.1236

Wieland Staessens

Jill Ecker, Gabriele Honecker, Wieland Staessens

Rigour and Rigidity: Systematics on particle physics D6-brane models on Z(2)xZ(6)

v2: references added; v1: 1+80 pages

Fortsch.Phys. 62 (2014) 981-1040

10.1002/prop.201400066

MITP/14-058

hep-th hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We launch a systematic search for phenomenologically appealing string vacua with intersecting D-branes on the promising T6/Z(2)xZ(6)xOR orientifold with discrete torsion. The number of independent background lattices is reduced from six to two by new symmetries. The occurrence of USp(2N) and SO(2N) versus U(N) gauge groups is classified as well as D-branes without matter in the adjoint and/or symmetric representation. Supersymmetric fractional D6-branes allowing for RR tadpole cancellation are fully classified in terms of all possible values of the one complex structure modulus inherited from the underlying six-torus. We then systematically investigate the conditions for three particle generations at pairwise intersections of two D6-branes. Global SU(5) GUT models on T6/Z(2)xZ(6)xOR are excluded by demanding three generations and no exotic matter in the 15 representation. Two prototypes of global Pati-Salam models with a mild amount of vector-like exotic matter are found.

[ { "created": "Wed, 3 Sep 2014 20:00:38 GMT", "version": "v1" }, { "created": "Wed, 10 Sep 2014 11:26:42 GMT", "version": "v2" } ]

2014-11-14

[ [ "Ecker", "Jill", "" ], [ "Honecker", "Gabriele", "" ], [ "Staessens", "Wieland", "" ] ]

We launch a systematic search for phenomenologically appealing string vacua with intersecting D-branes on the promising T6/Z(2)xZ(6)xOR orientifold with discrete torsion. The number of independent background lattices is reduced from six to two by new symmetries. The occurrence of USp(2N) and SO(2N) versus U(N) gauge groups is classified as well as D-branes without matter in the adjoint and/or symmetric representation. Supersymmetric fractional D6-branes allowing for RR tadpole cancellation are fully classified in terms of all possible values of the one complex structure modulus inherited from the underlying six-torus. We then systematically investigate the conditions for three particle generations at pairwise intersections of two D6-branes. Global SU(5) GUT models on T6/Z(2)xZ(6)xOR are excluded by demanding three generations and no exotic matter in the 15 representation. Two prototypes of global Pati-Salam models with a mild amount of vector-like exotic matter are found.

11.777014

10.036507

13.691217

10.927261

10.023624

9.414974

10.594753

10.269434

10.060828

13.464173

10.443275

11.232253

11.783097

10.60637

10.818073

10.749475

10.645978

10.323771

11.131992

11.649056

10.665749

1801.04930

Lars Aalsma

Lars Aalsma, Jan Pieter van der Schaar

Extremal Tunneling and Anti-de Sitter Instantons

29 pages, 2 figures. v2: fixed typos, matches published version

JHEP03(2018)145

10.1007/JHEP03(2018)145

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We rederive and extend the amplitude for charged spherical shells tunneling through the outer horizon of charged black holes. In particular, we explicitly confirm that an effective action approach with natural initial conditions for a spherical shell, including backreaction, reduces to the tunneling integral. Consequently, we establish a universal expression for the probability of emission in terms of the change in the horizon entropy. Notably, the result for the charged black hole also captures the superradiant regime of charged particle decay at low energies. We then explore an appropriately regulated extremal and near-horizon limit, relating the tunneling amplitude to a family of gravitational instantons in the near-horizon Anti-de Sitter geometry, reducing to the known result for $AdS_2$ domain walls to leading order in the probe limit. We comment on the relation to the Weak Gravity Conjecture and the conjectured instability of (non-supersymmetric) Anti-de Sitter vacua.

[ { "created": "Mon, 15 Jan 2018 19:00:00 GMT", "version": "v1" }, { "created": "Wed, 28 Mar 2018 12:21:18 GMT", "version": "v2" } ]

2018-03-29

[ [ "Aalsma", "Lars", "" ], [ "van der Schaar", "Jan Pieter", "" ] ]

We rederive and extend the amplitude for charged spherical shells tunneling through the outer horizon of charged black holes. In particular, we explicitly confirm that an effective action approach with natural initial conditions for a spherical shell, including backreaction, reduces to the tunneling integral. Consequently, we establish a universal expression for the probability of emission in terms of the change in the horizon entropy. Notably, the result for the charged black hole also captures the superradiant regime of charged particle decay at low energies. We then explore an appropriately regulated extremal and near-horizon limit, relating the tunneling amplitude to a family of gravitational instantons in the near-horizon Anti-de Sitter geometry, reducing to the known result for $AdS_2$ domain walls to leading order in the probe limit. We comment on the relation to the Weak Gravity Conjecture and the conjectured instability of (non-supersymmetric) Anti-de Sitter vacua.

11.772574

11.25486

11.430928

10.795529

11.515953

11.044159

11.150153

11.231217

11.086225

12.214926

10.432347

10.966529

11.35556

10.831289

10.689442

10.771895

11.065991

10.877787

10.901468

11.381416

10.622348

1708.00655

Dine Ousmane Samary

Dine Ousmane Samary, S\^ecloka Lazare Guedezounme and Antonin Danvid\'e Kanfon

Lattice oscillator model on noncommutative space: eigenvalues problem for the perturbation theory

12 pages

Brazilian Journal of Physics 2019

10.1007/s13538-019-00655-8

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Harmonic oscillator in noncommutative two dimensional lattice are investigated. Using the properties of non-differential calculus and its applications to quantum mechanics, we provide the eigenvalues and eigenfunctions of the corresponding Hamiltonian. First we consider the case of ordinary quantum mechanics, and we point out the thermodynamic properties of the model. Then we consider the same question when both coordinates and momentums are noncommutative.

[ { "created": "Wed, 2 Aug 2017 09:01:01 GMT", "version": "v1" }, { "created": "Sat, 19 May 2018 03:26:18 GMT", "version": "v2" }, { "created": "Wed, 10 Apr 2019 02:52:29 GMT", "version": "v3" } ]

2019-04-11

[ [ "Samary", "Dine Ousmane", "" ], [ "Guedezounme", "Sêcloka Lazare", "" ], [ "Kanfon", "Antonin Danvidé", "" ] ]

Harmonic oscillator in noncommutative two dimensional lattice are investigated. Using the properties of non-differential calculus and its applications to quantum mechanics, we provide the eigenvalues and eigenfunctions of the corresponding Hamiltonian. First we consider the case of ordinary quantum mechanics, and we point out the thermodynamic properties of the model. Then we consider the same question when both coordinates and momentums are noncommutative.

10.582222

9.535988

10.646641

9.82373

11.205107

9.118108

10.340374

10.673444

9.838336

12.429441

10.624633

9.465364

10.331512

9.763445

9.603113

9.46139

9.450199

9.401805

9.778282

10.686601

9.524557

hep-th/9712096

J. David Vergara

R. Gambini, H.A. Morales-Tecotl, L.F. Urrutia and J.D. Vergara

Loop Variables for compact two-dimensional quantum electrodynamics

24 pages, 1 figure, to be published in Phys. Rev. D

Phys.Rev. D57 (1998) 3711-3724

10.1103/PhysRevD.57.3711

ICN-UNAM-1201-97

hep-th

null

Variables parametrized by closed and open curves are defined to reformulate compact U(1) Quantum Electrodynamics in the circle with a massless fermion field. It is found that the gauge invariant nature of these variables accommodates into a regularization scheme for the Hamiltonian and current operators that is specially well suited for the study of the compact case. The zero mode energy spectrum, the value of the axial anomaly and the anomalous commutators this model presents are hence determined in a manifestly gauge invariant manner. Contrary to the non compact case, the zero mode spectrum is not equally spaced and consequently the theory does not lead to the spectrum of a free scalar boson. All the states are invariant under large gauge transformations. In particular, that is the case for the vacuum, and consequently the $\theta$-dependence does not appear.

[ { "created": "Tue, 9 Dec 1997 17:11:11 GMT", "version": "v1" } ]

2009-10-30

[ [ "Gambini", "R.", "" ], [ "Morales-Tecotl", "H. A.", "" ], [ "Urrutia", "L. F.", "" ], [ "Vergara", "J. D.", "" ] ]

Variables parametrized by closed and open curves are defined to reformulate compact U(1) Quantum Electrodynamics in the circle with a massless fermion field. It is found that the gauge invariant nature of these variables accommodates into a regularization scheme for the Hamiltonian and current operators that is specially well suited for the study of the compact case. The zero mode energy spectrum, the value of the axial anomaly and the anomalous commutators this model presents are hence determined in a manifestly gauge invariant manner. Contrary to the non compact case, the zero mode spectrum is not equally spaced and consequently the theory does not lead to the spectrum of a free scalar boson. All the states are invariant under large gauge transformations. In particular, that is the case for the vacuum, and consequently the $\theta$-dependence does not appear.

14.17021

14.009794

13.833245

13.172069

12.741219

14.819044

13.812401

13.724961

13.837593

14.492727

13.202453

12.727104

13.121666

12.585215

13.133948

13.114758

12.985063

12.780596

12.86434

13.414434

12.744775

2007.15095

Jerome P. Gauntlett

Igal Arav, K. C. Matthew Cheung, Jerome P. Gauntlett, Matthew M. Roberts and Christopher Rosen

Spatially modulated and supersymmetric mass deformations of $\mathcal{N}=4$ SYM

78 pages, 19 figures. Minor changes, references added

null

10.1007/JHEP11(2020)156

Imperial/TP/2020/JG/03; ICCUB-20-XXX

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study mass deformations of $\mathcal{N}=4$, $d=4$ SYM theory that are spatially modulated in one spatial dimension and preserve some residual supersymmetry. We focus on generalisations of $\mathcal{N}=1^*$ theories and show that it is also possible, for suitably chosen supersymmetric masses, to preserve $d=3$ conformal symmetry associated with a co-dimension one interface. Holographic solutions can be constructed using $D=5$ theories of gravity that arise from consistent truncations of $SO(6)$ gauged supergravity and hence type IIB supergravity. For the mass deformations that preserve $d=3$ superconformal symmetry we construct a rich set of Janus solutions of $\mathcal{N}=4$ SYM theory which have the same coupling constant on either side of the interface. Limiting classes of these solutions give rise to RG interface solutions with $\mathcal{N}=4$ SYM on one side of the interface and the Leigh-Strassler (LS) SCFT on the other, and also to a Janus solution for the LS theory. Another limiting solution is a new supersymmetric $AdS_4\times S^1\times S^5$ solution of type IIB supergravity.

[ { "created": "Wed, 29 Jul 2020 20:30:01 GMT", "version": "v1" }, { "created": "Sat, 21 Nov 2020 12:02:32 GMT", "version": "v2" } ]

2020-12-30

[ [ "Arav", "Igal", "" ], [ "Cheung", "K. C. Matthew", "" ], [ "Gauntlett", "Jerome P.", "" ], [ "Roberts", "Matthew M.", "" ], [ "Rosen", "Christopher", "" ] ]

We study mass deformations of $\mathcal{N}=4$, $d=4$ SYM theory that are spatially modulated in one spatial dimension and preserve some residual supersymmetry. We focus on generalisations of $\mathcal{N}=1^*$ theories and show that it is also possible, for suitably chosen supersymmetric masses, to preserve $d=3$ conformal symmetry associated with a co-dimension one interface. Holographic solutions can be constructed using $D=5$ theories of gravity that arise from consistent truncations of $SO(6)$ gauged supergravity and hence type IIB supergravity. For the mass deformations that preserve $d=3$ superconformal symmetry we construct a rich set of Janus solutions of $\mathcal{N}=4$ SYM theory which have the same coupling constant on either side of the interface. Limiting classes of these solutions give rise to RG interface solutions with $\mathcal{N}=4$ SYM on one side of the interface and the Leigh-Strassler (LS) SCFT on the other, and also to a Janus solution for the LS theory. Another limiting solution is a new supersymmetric $AdS_4\times S^1\times S^5$ solution of type IIB supergravity.

6.243134

5.495184

7.378582

5.59219

5.742635

5.682308

5.719843

5.316914

5.555954

7.840178

5.837577

5.884517

6.537416

5.830826

5.944302

6.083971

5.93565

5.983924

5.799911

6.236104

5.924497

1203.1617

Nadav Drukker

Integrable Wilson loops

40 pages, 11 figures; v2-some formulas corrected, results unchanged

null

10.1007/JHEP10(2013)135

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The generalized quark-antiquark potential of N=4 supersymmetric Yang-Mills theory on S^3 x R calculates the potential between a pair of heavy charged particles separated by an arbitrary angle on S^3 and also an angle in flavor space. It can be calculated by a Wilson loop following a prescribed path and couplings, or after a conformal transformation, by a cusped Wilson loop in flat space, hence also generalizing the usual concept of the cusp anomalous dimension. In AdS_5 x S^5 this is calculated by an infinite open string. I present here an open spin-chain model which calculates the spectrum of excitations of such open strings. In the dual gauge theory these are cusped Wilson loops with extra operator insertions at the cusp. The boundaries of the spin-chain introduce a non-trivial reflection phase and break the bulk symmetry down to a single copy of psu(2|2). The dependence on the two angles is captured by the two embeddings of this algebra into \psu(2|2)^2, i.e., by a global rotation. The exact answer to this problem is conjectured to be given by solutions to a set of twisted boundary thermodynamic Bethe ansatz integral equations. In particular the generalized quark-antiquark potential or cusp anomalous dimension is recovered by calculating the ground state energy of the minimal length spin-chain, with no sites. It gets contributions only from virtual particles reflecting off the boundaries. I reproduce from this calculation some known weak coupling perturtbative results.

[ { "created": "Wed, 7 Mar 2012 21:00:02 GMT", "version": "v1" }, { "created": "Fri, 9 Aug 2013 14:30:20 GMT", "version": "v2" } ]

2015-06-04

[ [ "Drukker", "Nadav", "" ] ]

The generalized quark-antiquark potential of N=4 supersymmetric Yang-Mills theory on S^3 x R calculates the potential between a pair of heavy charged particles separated by an arbitrary angle on S^3 and also an angle in flavor space. It can be calculated by a Wilson loop following a prescribed path and couplings, or after a conformal transformation, by a cusped Wilson loop in flat space, hence also generalizing the usual concept of the cusp anomalous dimension. In AdS_5 x S^5 this is calculated by an infinite open string. I present here an open spin-chain model which calculates the spectrum of excitations of such open strings. In the dual gauge theory these are cusped Wilson loops with extra operator insertions at the cusp. The boundaries of the spin-chain introduce a non-trivial reflection phase and break the bulk symmetry down to a single copy of psu(2|2). The dependence on the two angles is captured by the two embeddings of this algebra into \psu(2|2)^2, i.e., by a global rotation. The exact answer to this problem is conjectured to be given by solutions to a set of twisted boundary thermodynamic Bethe ansatz integral equations. In particular the generalized quark-antiquark potential or cusp anomalous dimension is recovered by calculating the ground state energy of the minimal length spin-chain, with no sites. It gets contributions only from virtual particles reflecting off the boundaries. I reproduce from this calculation some known weak coupling perturtbative results.

10.683317

11.596832

12.693582

10.798067

11.636024

11.395149

11.358071

11.080575

10.6786

13.026706

10.42816

10.413719

10.957939

10.530045

10.405786

10.600795

10.387824

10.111441

10.359164

11.294456

10.247688

hep-th/0301042

German Sierra

A. Leclair, J.M. Roman, G. Sierra (IFT, UAM-CSIC, Madrid, Spain)

Russian Doll Renormalization Group, Kosterlitz-Thouless Flows, and the Cyclic sine-Gordon model

17 pages, 3 figs, RevTex4.An additional solution to the S-matrix constraints is presented which is cyclic in energy

Nucl.Phys. B675 (2003) 584-606

10.1016/j.nuclphysb.2003.09.032

null

hep-th cond-mat

null

We investigate the previously proposed cyclic regime of the Kosterlitz-Thouless renormalization group (RG) flows. The period of one cycle is computed in terms of the RG invariant. Using bosonization, we show that the theory has $U_q (\hat{sl(2)})$ quantum affine symmetry, with $q$ {\it real}. Based on this symmetry, we study two possible S-matrices for the theory, differing only by overall scalar factors. We argue that one S-matrix corresponds to a continuum limit of the XXZ spin chain in the anti-ferromagnetic domain $\Delta < -1$. The latter S-matrix has a periodicity in energy consistent with the cyclicity of the RG. We conjecture that this S-matrix describes the cyclic regime of the Kosterlitz-Thouless flows. The other S-matrix we investigate is an analytic continuation of the usual sine-Gordon one. It has an infinite number of resonances with masses that have a Russian doll scaling behavior that is also consistent with the period of the RG cycles computed from the beta-function. Closure of the bootstrap for this S-matrix leads to an infinite number of particles of higher spin with a mass formula suggestive of a string theory.

[ { "created": "Wed, 8 Jan 2003 10:50:20 GMT", "version": "v1" }, { "created": "Tue, 28 Jan 2003 14:01:54 GMT", "version": "v2" }, { "created": "Fri, 27 Jun 2003 15:47:28 GMT", "version": "v3" } ]

2015-06-26

[ [ "Leclair", "A.", "", "IFT, UAM-CSIC, Madrid, Spain" ], [ "Roman", "J. M.", "", "IFT, UAM-CSIC, Madrid, Spain" ], [ "Sierra", "G.", "", "IFT, UAM-CSIC, Madrid, Spain" ] ]

We investigate the previously proposed cyclic regime of the Kosterlitz-Thouless renormalization group (RG) flows. The period of one cycle is computed in terms of the RG invariant. Using bosonization, we show that the theory has $U_q (\hat{sl(2)})$ quantum affine symmetry, with $q$ {\it real}. Based on this symmetry, we study two possible S-matrices for the theory, differing only by overall scalar factors. We argue that one S-matrix corresponds to a continuum limit of the XXZ spin chain in the anti-ferromagnetic domain $\Delta < -1$. The latter S-matrix has a periodicity in energy consistent with the cyclicity of the RG. We conjecture that this S-matrix describes the cyclic regime of the Kosterlitz-Thouless flows. The other S-matrix we investigate is an analytic continuation of the usual sine-Gordon one. It has an infinite number of resonances with masses that have a Russian doll scaling behavior that is also consistent with the period of the RG cycles computed from the beta-function. Closure of the bootstrap for this S-matrix leads to an infinite number of particles of higher spin with a mass formula suggestive of a string theory.

8.752248

8.589509

9.609494

8.475611

7.987224

7.715183

8.321528

8.084725

7.892334

9.438065

8.12821

8.250658

8.448034

8.246587

8.041758

8.113275

7.926811

8.041528

8.09514

8.520343

8.074699

hep-th/9204005

Warren Siegel

W. Siegel

The N=4 string is the same as the N=2 string

7 pg (uuencoded dvi file; otherwise same as original)

Phys.Rev.Lett. 69 (1992) 1493-1495

10.1103/PhysRevLett.69.1493

ITP-SB-92-13

hep-th

null

We redo the quantization of the N=4 string, taking into account the reducibility of the constraints. The result is equivalent to the N=2 string, with critical dimension D=4 and signature (++--). The N=4 formulation has several advantages: the sigma-model field equations are implied classically, rather than by quantum/beta-function calculations; self-duality/chirality is one of the super-Virasoro constraints; SO(2,2) covariance is manifest. This reveals that the theory includes fermions, and is apparently spacetime supersymmetric.

[ { "created": "Thu, 2 Apr 1992 21:52:34 GMT", "version": "v1" }, { "created": "Thu, 28 May 1992 17:00:05 GMT", "version": "v2" } ]

2009-10-22

[ [ "Siegel", "W.", "" ] ]

We redo the quantization of the N=4 string, taking into account the reducibility of the constraints. The result is equivalent to the N=2 string, with critical dimension D=4 and signature (++--). The N=4 formulation has several advantages: the sigma-model field equations are implied classically, rather than by quantum/beta-function calculations; self-duality/chirality is one of the super-Virasoro constraints; SO(2,2) covariance is manifest. This reveals that the theory includes fermions, and is apparently spacetime supersymmetric.

16.547087

15.274643

17.68749

15.373915

15.189479

15.347656

14.96864

13.829677

14.818182

18.260618

14.744242

15.340117

16.893822

15.257861

15.555728

15.938059

15.185846

15.398504

15.493548

16.07955

15.212115

1106.0527

Alex Dahlen

Adam R. Brown and Alex Dahlen

The Case of the Disappearing Instanton

27 pages, 19 figures

null

10.1103/PhysRevD.84.105004

PUPT-2381

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Instantons are tunneling solutions that connect two vacua, and under a small change in the potential, instantons sometimes disappear. We classify these disappearances as smooth (decay rate goes to 0 at disappearance) or abrupt (decay rate not equal to 0 at disappearance). Abrupt disappearances mean that a small change in the parameters can produce a drastic change in the physics, as some states become suddenly unreachable. The simplest abrupt disappearances are associated with annihilation by another Euclidean solution with higher action and one more negative mode; higher-order catastrophes can occur in cases of enhanced symmetry. We study a few simple examples, including the 6D Einstein-Maxwell theory, and give a unified account of instanton disappearances.

[ { "created": "Thu, 2 Jun 2011 22:40:22 GMT", "version": "v1" } ]

2013-05-29

[ [ "Brown", "Adam R.", "" ], [ "Dahlen", "Alex", "" ] ]

Instantons are tunneling solutions that connect two vacua, and under a small change in the potential, instantons sometimes disappear. We classify these disappearances as smooth (decay rate goes to 0 at disappearance) or abrupt (decay rate not equal to 0 at disappearance). Abrupt disappearances mean that a small change in the parameters can produce a drastic change in the physics, as some states become suddenly unreachable. The simplest abrupt disappearances are associated with annihilation by another Euclidean solution with higher action and one more negative mode; higher-order catastrophes can occur in cases of enhanced symmetry. We study a few simple examples, including the 6D Einstein-Maxwell theory, and give a unified account of instanton disappearances.

13.625015

12.860724

14.987206

13.343239

13.914663

14.357494

13.543064

13.25971

12.72494

15.40171

12.631379

12.958709

13.050279

13.092101

12.350101

12.733228

12.949746

12.690676

12.703354

13.639541

13.151263

2212.04822

Samson Shatashvili

A. Alekseev, S. Shatashvili and L. Takhtajan

Berezin quantization, conformal welding and the Bott-Virasoro group

26 pages

null

hep-th math.QA

http://creativecommons.org/licenses/by-nc-nd/4.0/

Following Nag-Sullivan, we study the representation of the group ${\rm Diff}^+(S^1)$ of diffeomorphisms of the circle on the Hilbert space of holomorphic functions. Conformal welding provides a triangular decompositions for the corresponding symplectic transformations. We apply Berezin formalism and lift this decomposition to operators acting on the Fock space. This lift provides quantization of conformal welding, gives a new representative of the Bott-Virasoso cocylce class, and leads to a surprising identity for the Takhtajan-Teo energy functional on ${\rm Diff}^+(S^1)$.

[ { "created": "Fri, 9 Dec 2022 12:53:10 GMT", "version": "v1" } ]

2022-12-12

[ [ "Alekseev", "A.", "" ], [ "Shatashvili", "S.", "" ], [ "Takhtajan", "L.", "" ] ]

Following Nag-Sullivan, we study the representation of the group ${\rm Diff}^+(S^1)$ of diffeomorphisms of the circle on the Hilbert space of holomorphic functions. Conformal welding provides a triangular decompositions for the corresponding symplectic transformations. We apply Berezin formalism and lift this decomposition to operators acting on the Fock space. This lift provides quantization of conformal welding, gives a new representative of the Bott-Virasoso cocylce class, and leads to a surprising identity for the Takhtajan-Teo energy functional on ${\rm Diff}^+(S^1)$.

11.911016

12.962584

14.999088

12.95989

13.961049

13.76238

13.859084

13.029838

13.436089

16.246277

12.233878

11.496196

13.037689

11.853442

11.802027

12.388415

11.764121

12.101859

12.505589

13.413987

12.016906

1306.0911

Cezar Condeescu

Cezar Condeescu, Emilian Dudas

Kasner solutions, climbing scalars and big-bang singularity

49 pages, 2 figures, v2 refs added

null

10.1088/1475-7516/2013/08/013

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We elaborate on a recently discovered phenomenon where a scalar field close to big-bang is forced to climb a steep potential by its dynamics. We analyze the phenomenon in more general terms by writing the leading order equations of motion near the singularity. We formulate the conditions for climbing to exist in the case of several scalars and after inclusion of higher-derivative corrections and we apply our results to some models of moduli stabilization. We analyze an example with steep stabilizing potential and notice again a related critical behavior: for a potential steepness above a critical value, going backwards towards big-bang, the scalar undergoes wilder oscillations, with the steep potential pushing it back at every passage and not allowing the scalar to escape to infinity. Whereas it was pointed out earlier that there are possible implications of the climbing phase to CMB, we point out here another potential application, to the issue of initial conditions in inflation.

[ { "created": "Tue, 4 Jun 2013 20:01:14 GMT", "version": "v1" }, { "created": "Thu, 27 Jun 2013 00:07:27 GMT", "version": "v2" } ]

2015-06-16

[ [ "Condeescu", "Cezar", "" ], [ "Dudas", "Emilian", "" ] ]

We elaborate on a recently discovered phenomenon where a scalar field close to big-bang is forced to climb a steep potential by its dynamics. We analyze the phenomenon in more general terms by writing the leading order equations of motion near the singularity. We formulate the conditions for climbing to exist in the case of several scalars and after inclusion of higher-derivative corrections and we apply our results to some models of moduli stabilization. We analyze an example with steep stabilizing potential and notice again a related critical behavior: for a potential steepness above a critical value, going backwards towards big-bang, the scalar undergoes wilder oscillations, with the steep potential pushing it back at every passage and not allowing the scalar to escape to infinity. Whereas it was pointed out earlier that there are possible implications of the climbing phase to CMB, we point out here another potential application, to the issue of initial conditions in inflation.

16.71138

16.526363

16.882204

15.830607

16.365774

16.967432

16.626816

16.220623

16.356577

19.141788

16.15766

16.409029

16.599161

16.154551

15.959429

16.084976

16.317591

15.94284

16.127363

16.050591

15.668286

hep-th/0612256

G\'abor Zsolt T\'oth

Gabor Zsolt Toth (Hungarian Acad. Sci., Budapest)

A study of truncation effects in boundary flows of the Ising model on a strip

39 pages

J.Stat.Mech.0704:P04005,2007

10.1088/1742-5468/2007/04/P04005

null

hep-th cond-mat.other

null

We investigate the idea that the effect of the truncation applied in the TCSA method on the spectrum coincides with the effect of a suitable changing of the coefficients of the terms in the Hamiltonian operator. The investigation is done in the case of the critical Ising model on a strip with an external magnetic field on one of the boundaries. A detailed quantum field theoretical description of this model is also given, and we propose a description as a perturbation of the infinite coupling limit. The investigation is also carried out for a truncation method which preserves the solvability of the model. The results of perturbative and numerical calculations presented support the above idea and show that the qualitative behaviour of the truncated spectrum as a function of the coupling constant depends on the truncation method.

[ { "created": "Sat, 23 Dec 2006 21:33:39 GMT", "version": "v1" }, { "created": "Tue, 24 Apr 2007 19:04:41 GMT", "version": "v2" } ]

2011-02-16

[ [ "Toth", "Gabor Zsolt", "", "Hungarian Acad. Sci., Budapest" ] ]

We investigate the idea that the effect of the truncation applied in the TCSA method on the spectrum coincides with the effect of a suitable changing of the coefficients of the terms in the Hamiltonian operator. The investigation is done in the case of the critical Ising model on a strip with an external magnetic field on one of the boundaries. A detailed quantum field theoretical description of this model is also given, and we propose a description as a perturbation of the infinite coupling limit. The investigation is also carried out for a truncation method which preserves the solvability of the model. The results of perturbative and numerical calculations presented support the above idea and show that the qualitative behaviour of the truncated spectrum as a function of the coupling constant depends on the truncation method.

10.127857

9.970316

10.703458

8.791698

9.26556

9.925294

8.822453

10.169261

8.95455

10.298295

9.44387

9.223161

9.531271

9.213594

9.249421

9.206098

9.277992

9.521253

9.305814

9.740756

9.131278

hep-th/9311045

Norisuke Sakai

S. Kojima, N. Sakai and Y. Tanii

Supergravity in $2+\epsilon$ Dimensions

36 pages, TIT/HEP-238, Imperial/TP/93-94/8

Int.J.Mod.Phys. A9 (1994) 5415-5444

10.1142/S0217751X94002181

null

hep-th

null

Supergravity theory in $2+\epsilon$ dimensions is studied. It is invariant under supertransformations in 2 and 3 dimensions. One-loop divergence is explicitly computed in the background field method and a nontrivial fixed point is found. In quantizing the supergravity, a gauge fixing condition is devised which explicitly isolates conformal and superconformal modes. The renormalization of the gravitationally dressed operators is studied and their anomalous dimensions are computed. Problems to use the dimensional reduction are also examined.

[ { "created": "Mon, 8 Nov 1993 13:57:49 GMT", "version": "v1" } ]

2015-06-26

[ [ "Kojima", "S.", "" ], [ "Sakai", "N.", "" ], [ "Tanii", "Y.", "" ] ]

Supergravity theory in $2+\epsilon$ dimensions is studied. It is invariant under supertransformations in 2 and 3 dimensions. One-loop divergence is explicitly computed in the background field method and a nontrivial fixed point is found. In quantizing the supergravity, a gauge fixing condition is devised which explicitly isolates conformal and superconformal modes. The renormalization of the gravitationally dressed operators is studied and their anomalous dimensions are computed. Problems to use the dimensional reduction are also examined.

11.939381

12.625715

11.859121

10.832462

11.486727

11.507956

12.29318

10.810468

11.396438

14.065394

11.303498

11.881505

11.63149

11.708267

12.14279

11.553639

11.970425

11.413652

11.593347

12.191235

12.024178

hep-th/9904130

null

D. Han, Y. S. Kim, and Marilyn E. Noz

Space-time Symmetry Transformations of Elementary Particles realized in Optics Laboratories

RevTex 11 pages, 2 ps figures

null

hep-th hep-ph math-ph math.MP

null

The second-order differential equation describes harmonic oscillators, as well as currents in LCR circuits. This allows us to study oscillator systems by constructing electronic circuits. Likewise, one set of closed commutation relations can generate group representations applicable to different branches of physics. It is pointed out that polarization optics can be formulated in terms of the six-parameter Lorentz group. This allows us to construct optical instruments corresponding to the subgroups of the Lorentz groups. It is shown possible to produce combinations of optical filters that exhibit transformations corresponding to Wigner rotations and Iwasawa decompositions, which are manifestations of the internal space-time symmetries of massive and massless particles.

[ { "created": "Mon, 19 Apr 1999 20:58:45 GMT", "version": "v1" } ]

2007-05-23

[ [ "Han", "D.", "" ], [ "Kim", "Y. S.", "" ], [ "Noz", "Marilyn E.", "" ] ]

The second-order differential equation describes harmonic oscillators, as well as currents in LCR circuits. This allows us to study oscillator systems by constructing electronic circuits. Likewise, one set of closed commutation relations can generate group representations applicable to different branches of physics. It is pointed out that polarization optics can be formulated in terms of the six-parameter Lorentz group. This allows us to construct optical instruments corresponding to the subgroups of the Lorentz groups. It is shown possible to produce combinations of optical filters that exhibit transformations corresponding to Wigner rotations and Iwasawa decompositions, which are manifestations of the internal space-time symmetries of massive and massless particles.

16.134974

17.591497

17.573044

16.309902

17.094948

16.513508

16.460749

16.242569

16.349157

17.254688

15.642916

16.464359

16.658686

16.075054

16.600214

15.79515

16.428974

15.799274

16.363348

16.901535

15.785297

2404.03947

Prabwal Phukon

Naba Jyoti Gogoi, Saumen Acharjee and Prabwal Phukon

Lyapunov Exponents and Phase Transition of Hayward AdS Black Hole

18 pages, 16 figures

null

hep-th gr-qc

http://creativecommons.org/licenses/by/4.0/

In this paper, we study the relationship between the phase transition and Lyapunov exponents for 4D Hayward anti-de Sitter (AdS) black hole. We consider the motion of massless and massive particles around an unstable circular orbit of the Hayward AdS black hole in the equatorial plane and calculate the corresponding Lyapunov exponents. The phase transition is found to be well described by the multivaled Lyapunov exponents. It is also found that different phases of Hayward AdS black hole coincide with different branches of the Lyapunov exponents. We also study the discontinuous change in the Lyapunov exponents and find that it can serve as an order parameter near the critical point. The critical exponent of change in Lyapunov exponent near the critical point is found to be $1/2$.

[ { "created": "Fri, 5 Apr 2024 08:27:08 GMT", "version": "v1" } ]

2024-04-08

[ [ "Gogoi", "Naba Jyoti", "" ], [ "Acharjee", "Saumen", "" ], [ "Phukon", "Prabwal", "" ] ]

In this paper, we study the relationship between the phase transition and Lyapunov exponents for 4D Hayward anti-de Sitter (AdS) black hole. We consider the motion of massless and massive particles around an unstable circular orbit of the Hayward AdS black hole in the equatorial plane and calculate the corresponding Lyapunov exponents. The phase transition is found to be well described by the multivaled Lyapunov exponents. It is also found that different phases of Hayward AdS black hole coincide with different branches of the Lyapunov exponents. We also study the discontinuous change in the Lyapunov exponents and find that it can serve as an order parameter near the critical point. The critical exponent of change in Lyapunov exponent near the critical point is found to be $1/2$.

5.713898

5.151202

4.861731

4.63757

5.047629

4.770057

5.191816

4.644537

5.053765

4.960859

5.138422

5.227493

4.986238

4.903259

4.963274

5.005938

5.052471

4.821197

4.946254

4.987112

5.112122

1711.06689

Grant Remmen

Chris Akers, Raphael Bousso, Illan F. Halpern, and Grant N. Remmen

The Boundary of the Future

8 pages, 6 figures

Phys. Rev. D 97, 024018 (2018)

10.1103/PhysRevD.97.024018

null

hep-th gr-qc math-ph math.DG math.MP

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We prove that the boundary of the future of a surface $K$ consists precisely of the points $p$ that lie on a null geodesic orthogonal to $K$ such that between $K$ and $p$ there are no points conjugate to $K$ nor intersections with another such geodesic. Our theorem has applications to holographic screens and their associated light sheets and in particular enters the proof that holographic screens satisfy an area law.

[ { "created": "Fri, 17 Nov 2017 19:00:05 GMT", "version": "v1" }, { "created": "Wed, 29 Nov 2017 18:53:15 GMT", "version": "v2" } ]

2018-01-17

[ [ "Akers", "Chris", "" ], [ "Bousso", "Raphael", "" ], [ "Halpern", "Illan F.", "" ], [ "Remmen", "Grant N.", "" ] ]

We prove that the boundary of the future of a surface $K$ consists precisely of the points $p$ that lie on a null geodesic orthogonal to $K$ such that between $K$ and $p$ there are no points conjugate to $K$ nor intersections with another such geodesic. Our theorem has applications to holographic screens and their associated light sheets and in particular enters the proof that holographic screens satisfy an area law.

9.048558

9.855354

8.494453

8.3711

8.77215

9.648179

9.516718

8.97868

8.927986

9.06116

8.32514

8.559484

8.435283

8.228973

8.843985

8.892879

8.567053

7.969379

8.595292

8.220755

8.889256

1412.0438

Giorgos Manolakos

D.Gavriil, G.Manolakos, G.Zoupanos

Towards realistic models from Higher-Dimensional theories with Fuzzy extra dimensions

Based on a talk presented at the International Conference "Quantum Field Theory and Gravity (QFTG'14)" (Tomsk, July 28 - August 3, 2014) by G.Z. (invited main speaker)

null

hep-th hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We briefly review the Coset Space Dimensional Reduction (CSDR) programme and the best model constructed so far and then we present some details of the corresponding programme in the case that the extra dimensions are considered to be fuzzy. In particular, we present a four-dimensional $\mathcal{N} = 4$ Super Yang Mills Theory, orbifolded by $\mathbb{Z}_3$, which mimics the behaviour of a dimensionally reduced $\mathcal{N} = 1$, 10-dimensional gauge theory over a set of fuzzy spheres at intermediate high scales and leads to the trinification GUT $SU(3)^3$ at slightly lower, which in turn can be spontaneously broken to the MSSM in low scales.

[ { "created": "Mon, 1 Dec 2014 11:42:24 GMT", "version": "v1" } ]

2014-12-02

[ [ "Gavriil", "D.", "" ], [ "Manolakos", "G.", "" ], [ "Zoupanos", "G.", "" ] ]

We briefly review the Coset Space Dimensional Reduction (CSDR) programme and the best model constructed so far and then we present some details of the corresponding programme in the case that the extra dimensions are considered to be fuzzy. In particular, we present a four-dimensional $\mathcal{N} = 4$ Super Yang Mills Theory, orbifolded by $\mathbb{Z}_3$, which mimics the behaviour of a dimensionally reduced $\mathcal{N} = 1$, 10-dimensional gauge theory over a set of fuzzy spheres at intermediate high scales and leads to the trinification GUT $SU(3)^3$ at slightly lower, which in turn can be spontaneously broken to the MSSM in low scales.

9.110318

8.914539

9.643871

8.637547

8.322312

8.66753

8.177522

8.576798

7.957518

9.55337

8.519156

9.152951

9.054204

8.703474

8.775033

8.978299

8.59481

8.883988

8.636604

8.928535

8.976396

1904.02187

Gary T. Horowitz

Gary T. Horowitz, Don Marolf, Jorge E. Santos, Diandian Wang

Creating a Traversable Wormhole

24 pages, 6 Figs, v2: comment added and a few typos corrected

null

10.1088/1361-6382/ab436f

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We argue that one can nucleate a traversable wormhole via a nonperturbative process in quantum gravity. To support this, we construct spacetimes in which there are instantons giving a finite probability for a test cosmic string to break and produce two particles on its ends. One should be able to replace the particles with small black holes with only small changes to the spacetime away from the horizons. The black holes are then created with their horizons identified, so this is an example of nucleating a wormhole. Unlike previous examples where the created black holes accelerate apart, in our case they remain essentially at rest. This is important since wormholes become harder and harder to make traversable as their mouths become widely separated, and since traversability can be destroyed by Unruh radiation. In our case, back-reaction from quantum fields can make the wormhole traversable.

[ { "created": "Wed, 3 Apr 2019 18:25:14 GMT", "version": "v1" }, { "created": "Tue, 30 Apr 2019 16:47:42 GMT", "version": "v2" } ]

2020-01-08

[ [ "Horowitz", "Gary T.", "" ], [ "Marolf", "Don", "" ], [ "Santos", "Jorge E.", "" ], [ "Wang", "Diandian", "" ] ]

We argue that one can nucleate a traversable wormhole via a nonperturbative process in quantum gravity. To support this, we construct spacetimes in which there are instantons giving a finite probability for a test cosmic string to break and produce two particles on its ends. One should be able to replace the particles with small black holes with only small changes to the spacetime away from the horizons. The black holes are then created with their horizons identified, so this is an example of nucleating a wormhole. Unlike previous examples where the created black holes accelerate apart, in our case they remain essentially at rest. This is important since wormholes become harder and harder to make traversable as their mouths become widely separated, and since traversability can be destroyed by Unruh radiation. In our case, back-reaction from quantum fields can make the wormhole traversable.

12.146285

12.97227

12.131186

11.156833

13.990869

11.759718

12.490766

11.038557

11.676376

12.935175

11.94808

11.954166

11.9606

11.640815

11.625964

12.151606

11.599642

11.027475

11.520003

12.38527

11.335452

hep-th/9502011

Sergei Skorik

S. Skorik, H. Saleur

Boundary bound states and boundary bootstrap in the sine-Gordon model with Dirichlet boundary conditions.

25 pages, harvmac macros Report USC-95-001.

J.Phys. A28 (1995) 6605-6622

10.1088/0305-4470/28/23/014

null

hep-th

null

We present a complete study of boundary bound states and related boundary S-matrices for the sine-Gordon model with Dirichlet boundary conditions. Our approach is based partly on the bootstrap procedure, and partly on the explicit solution of the inhomogeneous XXZ model with boundary magnetic field and of the boundary Thirring model. We identify boundary bound states with new ``boundary strings'' in the Bethe ansatz. The boundary energy is also computed.

[ { "created": "Thu, 2 Feb 1995 03:35:25 GMT", "version": "v1" } ]

2016-09-06

[ [ "Skorik", "S.", "" ], [ "Saleur", "H.", "" ] ]

We present a complete study of boundary bound states and related boundary S-matrices for the sine-Gordon model with Dirichlet boundary conditions. Our approach is based partly on the bootstrap procedure, and partly on the explicit solution of the inhomogeneous XXZ model with boundary magnetic field and of the boundary Thirring model. We identify boundary bound states with new ``boundary strings'' in the Bethe ansatz. The boundary energy is also computed.

10.308233

9.067191

12.38253

8.589417

8.808321

8.304018

10.391188

8.374018

8.68813

12.839554

8.761484

8.932804

10.623615

9.35235

9.078102

9.319261

9.032245

8.96153

8.795588

10.55043

8.942188

hep-th/0609126

Alexander Zhuk

A.I.Zhuk

Conventional cosmology from multidimensional models

16 pages, LaTeX, 14th International Seminar on High Energy Physics "QUARKS-2006" in St. Petersburg, references and footnotes added

null

hep-th astro-ph gr-qc

null

We investigate a possibility for construction of the conventional Friedmann cosmology for our observable Universe if underlying theory is multidimensional Kaluza-Klein model endowed with a perfect fluid. We show that effective Friedmann model obtained by dynamical compactification of the multidimensional one is faced with too strong variations of the fundamental "constants". From other hand, models with stable compactification of the internal space are free from this problem and also result in conventional 4D cosmological behavior for our Universe. We prove a no-go theorem which shows that stable compactification of the internal spaces is possible only if equations of state in the external and internal spaces are properly adjusted to each other. With a proper choice of parameters (fine tuning), effective cosmological constant in this model provides the late time acceleration of the Universe. The fine tuning problem is resolved in the case of the internal spaces in the form of orbifolds with branes in fixed points. However, in this case the effective potential is too flat (mass gravexcitons is very small) to provide necessary constancy of the effective fundamental "constants".

[ { "created": "Tue, 19 Sep 2006 07:34:38 GMT", "version": "v1" }, { "created": "Thu, 5 Oct 2006 18:14:47 GMT", "version": "v2" } ]

2007-05-23

[ [ "Zhuk", "A. I.", "" ] ]

We investigate a possibility for construction of the conventional Friedmann cosmology for our observable Universe if underlying theory is multidimensional Kaluza-Klein model endowed with a perfect fluid. We show that effective Friedmann model obtained by dynamical compactification of the multidimensional one is faced with too strong variations of the fundamental "constants". From other hand, models with stable compactification of the internal space are free from this problem and also result in conventional 4D cosmological behavior for our Universe. We prove a no-go theorem which shows that stable compactification of the internal spaces is possible only if equations of state in the external and internal spaces are properly adjusted to each other. With a proper choice of parameters (fine tuning), effective cosmological constant in this model provides the late time acceleration of the Universe. The fine tuning problem is resolved in the case of the internal spaces in the form of orbifolds with branes in fixed points. However, in this case the effective potential is too flat (mass gravexcitons is very small) to provide necessary constancy of the effective fundamental "constants".

12.409656

13.668341

11.309173

11.905654

12.862824

13.114686

12.780633

11.786056

12.437537

11.929521

12.858778

11.911167

12.151881

11.753896

12.250581

11.848142

12.051583

11.859642

12.230155

12.419521

12.191548

0810.5388

Laura Mersini-Houghton

L. Mersini-Houghton and R. Holman

'Tilting' the Universe with the Landscape Multiverse: The 'Dark' Flow

7 pgs, 2 figs

JCAP 0902:006,2009

10.1088/1475-7516/2009/02/006

null

hep-th astro-ph gr-qc hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The theory for the selection of the initial state of the universe from the landscape multiverse predicts superhorizon inhomogeneities induced by nonlocal entanglement of our Hubble volume with modes and domains beyond the horizon. Here we show these naturally give rise to a bulk flow with correlation length of order horizon size. The modification to the gravitational potential has a characteristic scale $L_{1} \simeq 10^{3} H^{-1}$, and it originates from the preinflationary remnants of the landscape. The 'tilt' in the potential induces power to the lowest CMB multipoles, with the dominant contribution being the dipole and next, the quadrupole. The induced multipoles $l \le 2$ are aligned with an axis normal to their alignment plane being oriented along the preferred frame determined by the dipole. The preferred direction is displayed by the velocity field of the bulk flow relative to the expansion frame of the universe. The parameters are tightly constrained thus the derived modifications lead to robust predictions for testing our theory. The 'dark' flow was recently discovered by Kashlinsky et al. to be about $700 km/s$ which seems in good agreement with our predictions for the induced dipole of order $3 \mu K$. Placed in this context, the discovery of the bulk flow by Kashlinsky et al. becomes even more interesting as it may provide a probe of the preinflationary physics and a window onto the landscape multiverse.

[ { "created": "Thu, 30 Oct 2008 00:00:03 GMT", "version": "v1" } ]

2009-02-09

[ [ "Mersini-Houghton", "L.", "" ], [ "Holman", "R.", "" ] ]

The theory for the selection of the initial state of the universe from the landscape multiverse predicts superhorizon inhomogeneities induced by nonlocal entanglement of our Hubble volume with modes and domains beyond the horizon. Here we show these naturally give rise to a bulk flow with correlation length of order horizon size. The modification to the gravitational potential has a characteristic scale $L_{1} \simeq 10^{3} H^{-1}$, and it originates from the preinflationary remnants of the landscape. The 'tilt' in the potential induces power to the lowest CMB multipoles, with the dominant contribution being the dipole and next, the quadrupole. The induced multipoles $l \le 2$ are aligned with an axis normal to their alignment plane being oriented along the preferred frame determined by the dipole. The preferred direction is displayed by the velocity field of the bulk flow relative to the expansion frame of the universe. The parameters are tightly constrained thus the derived modifications lead to robust predictions for testing our theory. The 'dark' flow was recently discovered by Kashlinsky et al. to be about $700 km/s$ which seems in good agreement with our predictions for the induced dipole of order $3 \mu K$. Placed in this context, the discovery of the bulk flow by Kashlinsky et al. becomes even more interesting as it may provide a probe of the preinflationary physics and a window onto the landscape multiverse.

12.100503

14.593974

12.55083

12.247318

14.436346

14.224013

13.724295

12.646184

12.454935

13.524508

12.734993

12.044811

11.924277

11.912354

11.826614

12.167095

12.041695

11.793521

11.868408

12.086888

11.759115

0808.2575

Niklas Johansson

Daniel Grumiller and Niklas Johansson

Consistent boundary conditions for cosmological topologically massive gravity at the chiral point

6 pages, v4: included consequences of erratum 0910.1706 in (14), (16) and added new Refs, v5: corrected e-print number in Ref. [18] v6: Corrected, again, typos in Eqs. (10) and (11) that were removed in v3, but mysteriously reappeared in v4 and v5

Int.J.Mod.Phys.D17:2367-2372,2009

10.1142/S0218271808014096

MIT-CTP 3972, UUITP-18/08

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We show that cosmological topologically massive gravity at the chiral point allows not only Brown-Henneaux boundary conditions as consistent boundary conditions, but slightly more general ones which encompass the logarithmic primary found in 0805.2610 as well as all its descendants.

[ { "created": "Tue, 19 Aug 2008 11:10:38 GMT", "version": "v1" }, { "created": "Thu, 21 Aug 2008 15:24:31 GMT", "version": "v2" }, { "created": "Tue, 20 Jan 2009 07:01:54 GMT", "version": "v3" }, { "created": "Thu, 8 Oct 2009 16:23:42 GMT", "version": "v4" }, { "created": "Thu, 22 Oct 2009 06:51:45 GMT", "version": "v5" }, { "created": "Thu, 28 Oct 2010 10:15:19 GMT", "version": "v6" } ]

2010-10-29

[ [ "Grumiller", "Daniel", "" ], [ "Johansson", "Niklas", "" ] ]

We show that cosmological topologically massive gravity at the chiral point allows not only Brown-Henneaux boundary conditions as consistent boundary conditions, but slightly more general ones which encompass the logarithmic primary found in 0805.2610 as well as all its descendants.

19.440451

14.306356

27.743515

17.894709

14.516208

12.736317

15.848406

18.721729

22.286364

40.427395

16.046745

19.483648

19.308704

17.449848

16.929476

16.388937

16.903446

16.484194

16.577942

21.909128

17.501478

2406.03784

Kang Zhou

Constructing tree amplitudes of scalar EFT from double soft theorem

28 pages, 6 figures

null

hep-th

http://creativecommons.org/publicdomain/zero/1.0/

The well known Adler zero can fully determine tree amplitudes of non-linear sigma model (NLSM), but fails to fix tree pion amplitudes with higher-derivative interactions. To fill this gap, in this paper we propose a new method based on exploiting the double soft theorem for scalars, which can be applied to a wider range. A remarkable feature of this method is, we only assume the universality of soft behavior at the beginning, and determine the explicit form of double soft factor in the process of constructing amplitudes. To test the applicability, we use this method to construct tree NLSM amplitudes and tree amplitudes those pions in NLSM couple to bi-adjoint scalars. We also construct the simplest pion amplitudes which receive leading higher-derivative correction, with arbitrary number of external legs. All resulted amplitudes are formulated as universal expansions to appropriate basis.

[ { "created": "Thu, 6 Jun 2024 06:55:01 GMT", "version": "v1" } ]

2024-06-07

[ [ "Zhou", "Kang", "" ] ]

The well known Adler zero can fully determine tree amplitudes of non-linear sigma model (NLSM), but fails to fix tree pion amplitudes with higher-derivative interactions. To fill this gap, in this paper we propose a new method based on exploiting the double soft theorem for scalars, which can be applied to a wider range. A remarkable feature of this method is, we only assume the universality of soft behavior at the beginning, and determine the explicit form of double soft factor in the process of constructing amplitudes. To test the applicability, we use this method to construct tree NLSM amplitudes and tree amplitudes those pions in NLSM couple to bi-adjoint scalars. We also construct the simplest pion amplitudes which receive leading higher-derivative correction, with arbitrary number of external legs. All resulted amplitudes are formulated as universal expansions to appropriate basis.

13.008541

10.997997

13.796037

10.339218

10.819392

10.14636

10.96999

10.702317

10.414866

14.31848

10.947003

10.913021

12.258595

11.408115

10.855121

10.865804

10.831336

10.995401

11.236164

11.678429

10.504944

1203.5677

Grigory Vartanov

V. P. Spiridonov, G. S. Vartanov

Elliptic hypergeometric integrals and 't Hooft anomaly matching conditions

Latex, 18 pages, 1 eps figure. Version 2: a reference added, misprints corrected

J. High Energy Phys. 06 (2012) 016

10.1007/JHEP06(2012)016

DESY 12-048

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Elliptic hypergeometric integrals describe superconformal indices of 4d supersymmetric field theories. We show that all 't Hooft anomaly matching conditions for Seiberg dual theories can be derived from $SL(3,\mathbb{Z})$-modular transformation properties of the kernels of dual indices.

[ { "created": "Mon, 26 Mar 2012 14:22:48 GMT", "version": "v1" }, { "created": "Fri, 30 Mar 2012 15:11:06 GMT", "version": "v2" } ]

2015-06-04

[ [ "Spiridonov", "V. P.", "" ], [ "Vartanov", "G. S.", "" ] ]

Elliptic hypergeometric integrals describe superconformal indices of 4d supersymmetric field theories. We show that all 't Hooft anomaly matching conditions for Seiberg dual theories can be derived from $SL(3,\mathbb{Z})$-modular transformation properties of the kernels of dual indices.

6.768008

6.656209

8.940722

5.907368

6.314839

6.455069

6.576529

5.590624

6.219495

7.414351

6.53018

6.261998

6.93767

5.833028

6.199457

6.178839

6.140858

5.833021

6.106109

6.65476

6.088532

hep-th/0605107

Hael Collins

Hael Collins (University of Massachusetts, Amherst) and R. Holman (Carnegie Mellon University)

The renormalization of the energy-momentum tensor for an effective initial state

18 pages, uses RevTeX, references added

Phys.Rev.D74:045009,2006

10.1103/PhysRevD.74.045009

UMHEP-462,CMU-HEP-06-07

hep-th

null

An effective description of an initial state is a method for representing the signatures of new physics in the short-distance structure of a quantum state. The expectation value of the energy-momentum tensor for a field in such a state contains new divergences that arise when summing over this new structure. These divergences occur only at the initial time at which the state is defined and therefore can be cancelled by including a set of purely geometric counterterms that also are confined to this initial surface. We describe this gravitational renormalization of the divergences in the energy-momentum tensor for a free scalar field in an isotropically expanding inflationary background. We also show that the back-reaction from these new short-distance features of the state is small when compared with the leading vacuum energy contained in the field.

[ { "created": "Wed, 10 May 2006 22:15:26 GMT", "version": "v1" }, { "created": "Thu, 31 Aug 2006 21:01:16 GMT", "version": "v2" } ]

2008-11-26

[ [ "Collins", "Hael", "", "University of Massachusetts, Amherst" ], [ "Holman", "R.", "", "Carnegie Mellon University" ] ]

An effective description of an initial state is a method for representing the signatures of new physics in the short-distance structure of a quantum state. The expectation value of the energy-momentum tensor for a field in such a state contains new divergences that arise when summing over this new structure. These divergences occur only at the initial time at which the state is defined and therefore can be cancelled by including a set of purely geometric counterterms that also are confined to this initial surface. We describe this gravitational renormalization of the divergences in the energy-momentum tensor for a free scalar field in an isotropically expanding inflationary background. We also show that the back-reaction from these new short-distance features of the state is small when compared with the leading vacuum energy contained in the field.

10.621113

9.293248

10.068039

9.590378

10.411493

9.383801

10.213655

9.683304

10.275841

10.783022

9.716083

9.240565

9.998732

9.807198

9.457044

9.402206

9.26927

9.113248

10.400527

9.591672

9.362164

hep-th/9609040

null

Daniel F. Litim

Scheme Independence at First Order Phase Transitions and the Renormalisation Group

12 pages, LaTeX, 4 figures included (needs epsfig.sty), two equations added, typo corrected

Phys.Lett. B393 (1997) 103-109

10.1016/S0370-2693(96)01613-9

Imperial/TP/95-96/54

hep-th

null

We analyse approximate solutions to an exact renormalisation group equation with particular emphasis on their dependence on the regularisation scheme, which is kept arbitrary. Physical quantities related to the coarse-grained potential of scalar QED display universal behaviour for strongly first-order phase transitions. Only subleading corrections depend on the regularisation scheme and are suppressed by a sufficiently large UV scale. We calculate the relevant coarse-graining scale and give a condition for the applicability of Langer's theory of bubble nucleation.

[ { "created": "Wed, 4 Sep 1996 15:35:25 GMT", "version": "v1" }, { "created": "Wed, 26 Feb 1997 11:14:24 GMT", "version": "v2" } ]

2009-10-30

[ [ "Litim", "Daniel F.", "" ] ]

We analyse approximate solutions to an exact renormalisation group equation with particular emphasis on their dependence on the regularisation scheme, which is kept arbitrary. Physical quantities related to the coarse-grained potential of scalar QED display universal behaviour for strongly first-order phase transitions. Only subleading corrections depend on the regularisation scheme and are suppressed by a sufficiently large UV scale. We calculate the relevant coarse-graining scale and give a condition for the applicability of Langer's theory of bubble nucleation.

14.680266

13.805124

13.351708

13.3445

15.139902

15.890085

15.653675

14.24029

13.420321

14.709023

14.771145

13.575816

14.270904

13.531419

13.890439

13.039055

14.306827

14.199338

13.629232

14.12258

14.052977

1212.2344

Micha{\l} Spali\'nski

Grzegorz Plewa and Michal Spalinski

On the gravity dual of strongly coupled charged plasma

null

JHEP 1305 (2013) 002

10.1007/JHEP05(2013)002

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Locally asymptotically AdS solutions of Einstein equations coupled with a vector field with a weakly curved boundary metric are found within the fluid-gravity gradient expansion up to second order in gradients. This geometry is dual to 1+3 dimensional hydrodynamics with a conserved current in a weakly curved background. The causal structure of the bulk geometry is determined and it is shown that the black brane singularity is shielded by an event horizon.

[ { "created": "Tue, 11 Dec 2012 09:15:10 GMT", "version": "v1" }, { "created": "Thu, 4 Apr 2013 20:18:35 GMT", "version": "v2" }, { "created": "Fri, 23 Aug 2013 08:25:24 GMT", "version": "v3" } ]

2013-08-26

[ [ "Plewa", "Grzegorz", "" ], [ "Spalinski", "Michal", "" ] ]

Locally asymptotically AdS solutions of Einstein equations coupled with a vector field with a weakly curved boundary metric are found within the fluid-gravity gradient expansion up to second order in gradients. This geometry is dual to 1+3 dimensional hydrodynamics with a conserved current in a weakly curved background. The causal structure of the bulk geometry is determined and it is shown that the black brane singularity is shielded by an event horizon.

10.894429

8.468602

10.090693

8.519676

8.963583

7.657125

7.892022

7.756878

8.410087

10.898809

8.535677

8.160814

8.402849

8.184381

7.924834

7.770142

8.038083

7.958291

8.203815

9.024289

8.283826

1305.2931

Olaf Lechtenfeld

Peter M. Lavrov, Olaf Lechtenfeld

Gribov horizon beyond the Landau gauge

1+6 pages; v2: one ref. and 3 clarifications added, published version

Phys. Lett. B 725 (2013) 386-388

10.1016/j.physletb.2013.07.020

null

hep-th math-ph math.MP

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Gribov and Zwanziger proposed a modification of Yang-Mills theory in order to cure the Gribov copy problem. We employ field-dependent BRST transformations to generalize the Gribov-Zwanziger model from the Landau gauge to general R_xi gauges. The Gribov horizon functional is presented in explicit form, in both the non-local and local variants. Finally, we show how to reach any given gauge from the Landau one.

[ { "created": "Mon, 13 May 2013 20:00:51 GMT", "version": "v1" }, { "created": "Mon, 19 Aug 2013 15:48:27 GMT", "version": "v2" } ]

2015-06-15

[ [ "Lavrov", "Peter M.", "" ], [ "Lechtenfeld", "Olaf", "" ] ]

Gribov and Zwanziger proposed a modification of Yang-Mills theory in order to cure the Gribov copy problem. We employ field-dependent BRST transformations to generalize the Gribov-Zwanziger model from the Landau gauge to general R_xi gauges. The Gribov horizon functional is presented in explicit form, in both the non-local and local variants. Finally, we show how to reach any given gauge from the Landau one.

8.716491

7.682786

8.228801

6.975267

7.041827

6.93571

7.558681

6.935178

6.946074

8.234072

7.140158

7.687033

7.199056

7.487726

7.708908

7.616723

7.352952

7.727221

7.742557

7.904394

7.245152

hep-th/9701091

Mikhail S. Plyushchay

Mikhail Plyushchay

Deformed Heisenberg algebra with reflection

16 pages, LaTeX, to appear in Nucl. Phys. B

Nucl.Phys. B491 (1997) 619-634

10.1016/S0550-3213(97)00065-5

NF/DF-05/96

hep-th cond-mat math.QA q-alg

null

A universality of deformed Heisenberg algebra involving the reflection operator is revealed. It is shown that in addition to the well-known infinite-dimensional representations related to parabosons, the algebra has also finite-dimensional representations of the parafermionic nature. We demonstrate that finite-dimensional representations are representations of deformed parafermionic algebra with internal Z_2-grading structure. On the other hand, any finite- or infinite-dimensional representation of the algebra supply us with irreducible representation of osp(1|2) superalgebra. We show that the normalized form of deformed Heisenberg algebra with reflection has the structure of guon algebra related to the generalized statistics.

[ { "created": "Sun, 19 Jan 1997 13:03:56 GMT", "version": "v1" } ]

2009-10-30

[ [ "Plyushchay", "Mikhail", "" ] ]

A universality of deformed Heisenberg algebra involving the reflection operator is revealed. It is shown that in addition to the well-known infinite-dimensional representations related to parabosons, the algebra has also finite-dimensional representations of the parafermionic nature. We demonstrate that finite-dimensional representations are representations of deformed parafermionic algebra with internal Z_2-grading structure. On the other hand, any finite- or infinite-dimensional representation of the algebra supply us with irreducible representation of osp(1|2) superalgebra. We show that the normalized form of deformed Heisenberg algebra with reflection has the structure of guon algebra related to the generalized statistics.

10.672064

9.025213

10.47674

9.127637

9.133031

9.021449

8.990026

8.444998

8.68947

9.72616

9.001316

9.246544

9.796675

9.279627

9.241272

9.211382

9.144444

9.060544

9.239052

10.061901

9.475185

hep-th/0602279

Luis Ibanez

L.E. Ibanez

Flux-Induced Baryon Asymmetry

11 pages, Latex file, no figures

null

IFT-UAM/CSIC-06-06

hep-th astro-ph hep-ph

null

I propose that the primordial baryon asymmetry of the universe was induced by the presence of a non-vanishing antisymmetric field background H_ijk across the three space dimensions. This background creates a dilute (B-L)-number density in the universe cancelling the contribution from baryons and leptons. This situation naturally appears if the U(1)_{B-L} symmetry is gauged and the corresponding gauge boson gets a Stuckelberg mass by combining with an antisymmetric field B_ij. All these ingredients are present in D-brane models of particle physics. None of the Sakharov conditions are required.

[ { "created": "Mon, 27 Feb 2006 13:38:52 GMT", "version": "v1" } ]

2007-05-23

[ [ "Ibanez", "L. E.", "" ] ]

I propose that the primordial baryon asymmetry of the universe was induced by the presence of a non-vanishing antisymmetric field background H_ijk across the three space dimensions. This background creates a dilute (B-L)-number density in the universe cancelling the contribution from baryons and leptons. This situation naturally appears if the U(1)_{B-L} symmetry is gauged and the corresponding gauge boson gets a Stuckelberg mass by combining with an antisymmetric field B_ij. All these ingredients are present in D-brane models of particle physics. None of the Sakharov conditions are required.

10.568798

10.680157

10.254436

9.218848

10.926809

10.642771

10.71851

10.54403

9.384934

10.79037

9.882995

9.390727

9.60269

9.466343

9.347662

9.878391

9.373315

9.565831

9.406231

9.804783

9.384303

0712.2377

Ettore Vicari

Andrea Pelissetto, Ettore Vicari

High-order perturbative expansions of multi-parameter Phi^4 quantum field theories

12 pages

null

hep-th cond-mat.stat-mech

null

We present high-order pertubative expansions of multi-parameter Phi^4 quantum field theories with an N-component fundamental field, containing up to 4th-order polynomials of the field. Multi-parameter Phi^4 theories generalize the simplest O(N)-symmetric Phi^4 theories, and describe more complicated symmetry breaking patterns. These notes collect several high-order perturbative series of physically interesting multi-parameter Phi^4 theories, to five or six loops. We consider the O(M)XO(N)-symmetric Phi^4 model, the so-called MN model, and a spin-density-wave Phi^4 model containing five quartic terms.

[ { "created": "Fri, 14 Dec 2007 15:48:32 GMT", "version": "v1" } ]

2007-12-19

[ [ "Pelissetto", "Andrea", "" ], [ "Vicari", "Ettore", "" ] ]

We present high-order pertubative expansions of multi-parameter Phi^4 quantum field theories with an N-component fundamental field, containing up to 4th-order polynomials of the field. Multi-parameter Phi^4 theories generalize the simplest O(N)-symmetric Phi^4 theories, and describe more complicated symmetry breaking patterns. These notes collect several high-order perturbative series of physically interesting multi-parameter Phi^4 theories, to five or six loops. We consider the O(M)XO(N)-symmetric Phi^4 model, the so-called MN model, and a spin-density-wave Phi^4 model containing five quartic terms.

13.060407

13.647949

13.663623

12.292864

12.898903

14.274524

13.221274

13.358888

12.511555

13.410685

13.479314

12.665531

12.963449

12.643566

12.723189

13.171369

12.392658

12.769796

12.487109

12.786314

12.594862

hep-th/0107123

Marcelo A. N. Botta Cantcheff

M. Botta Cantcheff (CBPF)

Hodge-type self(antiself)-duality for general p-form fields in arbitrary dimensions

Corrected typos. To be published in EPJC

Eur.Phys.J.direct C4:6,2002

null

hep-th

null

It is often claimed [PST1] that the (Hodge type) duality operation is defined only in even dimensional spacetimes and that self-duality is further restricted to twice-odd dimensional spacetime theories. The purpose of this paper is to extend the notion of both duality symmetry as well as self-duality. By considering tensorial doublets, we introduce a novel well-defined notion of self-duality based on a duality Hodge-type operation in arbitrary dimension and for any rank of these tensors. Thus, a generalized Self-Dual Action is defined such that equations of motion are the claimed generalized self-duality relations. We observe in addition, that taking the proper limit on the parameters of this action, it always provides us with a master-action, which interpolates models well-studied in physics; by considering a particular limit, we find an action which describes an interesting type of relation, referred to as semi-self-duality, which results to be the parent action between Maxwell- type actions. Finally, we apply these ideas to construct manifest Hodge-type self-dual solutions in a (2+1)-dimensional version of the Maxwell's theory.

[ { "created": "Fri, 13 Jul 2001 16:46:13 GMT", "version": "v1" }, { "created": "Mon, 16 Jul 2001 20:21:48 GMT", "version": "v2" }, { "created": "Fri, 22 Mar 2002 23:15:51 GMT", "version": "v3" } ]

2014-11-18

[ [ "Cantcheff", "M. Botta", "", "CBPF" ] ]

It is often claimed [PST1] that the (Hodge type) duality operation is defined only in even dimensional spacetimes and that self-duality is further restricted to twice-odd dimensional spacetime theories. The purpose of this paper is to extend the notion of both duality symmetry as well as self-duality. By considering tensorial doublets, we introduce a novel well-defined notion of self-duality based on a duality Hodge-type operation in arbitrary dimension and for any rank of these tensors. Thus, a generalized Self-Dual Action is defined such that equations of motion are the claimed generalized self-duality relations. We observe in addition, that taking the proper limit on the parameters of this action, it always provides us with a master-action, which interpolates models well-studied in physics; by considering a particular limit, we find an action which describes an interesting type of relation, referred to as semi-self-duality, which results to be the parent action between Maxwell- type actions. Finally, we apply these ideas to construct manifest Hodge-type self-dual solutions in a (2+1)-dimensional version of the Maxwell's theory.

16.932302

17.042641

18.727203

16.273972

18.002756

18.107134

17.103685

16.787228

16.470821

20.36684

15.958763

16.07069

16.195034

15.865823

16.099525

16.03089

16.056309

16.089502

16.231567

16.547871

15.814902

hep-th/9610026

Marco Matone

G. Bonelli, M. Matone, M. Tonin

Solving N=2 SYM by Reflection Symmetry of Quantum Vacua

12 pg. LaTex, Discussion of the generalization to higher rank groups added. To be published in Phys. Rev. D

Phys.Rev. D55 (1997) 6466-6470

10.1103/PhysRevD.55.6466

DPFD96/TH/29

hep-th alg-geom hep-ph math.AG

null

The recently rigorously proved nonperturbative relation between u and the prepotential, underlying N=2 SYM with gauge group SU(2), implies both the reflection symmetry $\overline{u(\tau)}=u(-\bar\tau)$ and $u(\tau+1)=-u(\tau)$ which hold exactly. The relation also implies that $\tau$ is the inverse of the uniformizing coordinate u of the moduli space of quantum vacua. In this context, the above quantum symmetries are the key points to determine the structure of the moduli space. It turns out that the functions a(u) and a_D(u), which we derive from first principles, actually coincide with the solution proposed by Seiberg and Witten. We also consider some relevant generalizations.

[ { "created": "Sun, 6 Oct 1996 12:58:48 GMT", "version": "v1" }, { "created": "Tue, 15 Oct 1996 17:46:06 GMT", "version": "v2" }, { "created": "Tue, 25 Feb 1997 17:38:09 GMT", "version": "v3" } ]

2009-10-30

[ [ "Bonelli", "G.", "" ], [ "Matone", "M.", "" ], [ "Tonin", "M.", "" ] ]

The recently rigorously proved nonperturbative relation between u and the prepotential, underlying N=2 SYM with gauge group SU(2), implies both the reflection symmetry $\overline{u(\tau)}=u(-\bar\tau)$ and $u(\tau+1)=-u(\tau)$ which hold exactly. The relation also implies that $\tau$ is the inverse of the uniformizing coordinate u of the moduli space of quantum vacua. In this context, the above quantum symmetries are the key points to determine the structure of the moduli space. It turns out that the functions a(u) and a_D(u), which we derive from first principles, actually coincide with the solution proposed by Seiberg and Witten. We also consider some relevant generalizations.

11.119246

12.163632

12.186457

10.568007

10.555319

12.654653

11.289241

11.197216

10.313291

11.852225

10.731834

10.851161

10.860271

10.490522

10.41601

10.793242

10.449295

10.566783

10.260712

10.843307

10.471149

hep-th/9810004

Hiroyuki T. Takata

Yoshihisa Kitazawa and Hiroyuki Takata (TIT)

D-brane Scattering in IIB String Theory and IIB Matrix Model

35 pages, Latex, Pictex

Nucl.Phys. B551 (1999) 617-649

10.1016/S0550-3213(99)00073-5

null

hep-th

null

We consider two Dirichlet p-branes with lower dimensional brane charges and their scattering. We first calculate the cylinder amplitude of open string with suitable boundary conditions. We compare this result with that in the IIB matrix model. We find the agreement between them in the long distance, low velocity, or large field limit. We also find a way to investigate more general boundary conditions for open string.

[ { "created": "Thu, 1 Oct 1998 11:56:43 GMT", "version": "v1" }, { "created": "Tue, 20 Oct 1998 05:13:50 GMT", "version": "v2" }, { "created": "Tue, 26 Jan 1999 09:08:15 GMT", "version": "v3" } ]

2009-10-31

[ [ "Kitazawa", "Yoshihisa", "", "TIT" ], [ "Takata", "Hiroyuki", "", "TIT" ] ]

We consider two Dirichlet p-branes with lower dimensional brane charges and their scattering. We first calculate the cylinder amplitude of open string with suitable boundary conditions. We compare this result with that in the IIB matrix model. We find the agreement between them in the long distance, low velocity, or large field limit. We also find a way to investigate more general boundary conditions for open string.

15.444865

12.323003

17.54249

11.933708

12.93281

11.474358

12.158056

12.537234

11.125386

15.41224

11.723346

12.007143

14.024008

12.083941

12.722768

12.182584

11.649077

12.368202

12.206189

14.10751

12.605134

hep-th/0202174

Gregory Gabadadze

Gia Dvali, Gregory Gabadadze, M. Shifman

Diluting Cosmological Constant In Infinite Volume Extra Dimensions

36 pages, 1 eps fig; 4 refs and comment added

Phys.Rev.D67:044020,2003

10.1103/PhysRevD.67.044020

NYU-TH/02/02/10; TPI-MINN-02/4; UMN-TH-2044/02

hep-th hep-ph

null

We argue that the cosmological constant problem can be solved in a braneworld model with infinite-volume extra dimensions, avoiding no-go arguments applicable to theories that are four-dimensional in the infrared. Gravity on the brane becomes higher-dimensional at super-Hubble distances, which entails that the relation between the acceleration rate and vacuum energy density flips upside down compared to the conventional one. The acceleration rate decreases with increasing the energy density. The experimentally acceptable rate is obtained for the energy density larger than (1 TeV)$^4$. The results are stable under quantum corrections because supersymmetry is broken only on the brane and stays exact in the bulk of infinite volume extra space. Consistency of 4D gravity and cosmology on the brane requires the quantum gravity scale to be around $10^{-3}$ eV. Testable predictions emerging within this approach are: (i) simultaneous modifications of gravity at sub-millimeter and the Hubble scales; (ii) Hagedorn-type saturation in TeV energy collisions due to the Regge spectrum with the spacing equal to $10^{-3}$ eV.

[ { "created": "Mon, 25 Feb 2002 20:48:54 GMT", "version": "v1" }, { "created": "Sat, 27 Apr 2002 01:26:20 GMT", "version": "v2" } ]

2009-07-09

[ [ "Dvali", "Gia", "" ], [ "Gabadadze", "Gregory", "" ], [ "Shifman", "M.", "" ] ]

We argue that the cosmological constant problem can be solved in a braneworld model with infinite-volume extra dimensions, avoiding no-go arguments applicable to theories that are four-dimensional in the infrared. Gravity on the brane becomes higher-dimensional at super-Hubble distances, which entails that the relation between the acceleration rate and vacuum energy density flips upside down compared to the conventional one. The acceleration rate decreases with increasing the energy density. The experimentally acceptable rate is obtained for the energy density larger than (1 TeV)$^4$. The results are stable under quantum corrections because supersymmetry is broken only on the brane and stays exact in the bulk of infinite volume extra space. Consistency of 4D gravity and cosmology on the brane requires the quantum gravity scale to be around $10^{-3}$ eV. Testable predictions emerging within this approach are: (i) simultaneous modifications of gravity at sub-millimeter and the Hubble scales; (ii) Hagedorn-type saturation in TeV energy collisions due to the Regge spectrum with the spacing equal to $10^{-3}$ eV.

11.342856

12.927939

11.933546

11.246981

12.908237

13.872237

12.231321

12.374934

11.35375

13.398023

10.821447

11.536376

11.411823

11.266514

11.005114

11.081369

11.710213

11.292829

10.922466

11.044102

11.166245

2303.04750

Jos\'e Tom\'as G\'alvez Ghersi

Jos\'e T. G\'alvez Ghersi and Jonathan Braden

Dimensional deformation of sine-Gordon breathers into oscillons

Rewritten version emphasizing critical behavior. 24+6 pages, 23 figures and 3 tables. Published in Physical Review D

1 November 2023 issue of Physical Review D (Vol. 108, No. 9)

10.1103/PhysRevD.108.096017

null

hep-th gr-qc math-ph math.MP nlin.PS

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Oscillons are localized field configurations oscillating in time with lifetimes orders of magnitude longer than their oscillation period. In this paper, we simulate non-travelling oscillons produced by deforming the breather solutions of the sine-Gordon model. Such a deformation treats the dimensionality of the model as a real parameter to produce spherically symmetric oscillons. After considering the post-transient oscillation frequency as a control parameter, we probe the initial parameter space to continuously connect breathers and oscillons at various dimensionalities. For sufficiently small dimensional deformations, we find that oscillons can be treated as perturbatively deformed breathers. In $D\gtrsim 2$ spatial dimensions, we observe solutions undergoing intermittent phases of contraction and expansion in their cores. Knowing that stable and unstable configurations can be mapped to disjoint regions of the breather parameter space, we find that amplitude modulated solutions are located in the middle of both stability regimes. These solutions display the dynamics of critical behavior around the stability limit.

[ { "created": "Wed, 8 Mar 2023 17:33:55 GMT", "version": "v1" }, { "created": "Fri, 10 Mar 2023 16:01:53 GMT", "version": "v2" }, { "created": "Tue, 24 Oct 2023 01:12:30 GMT", "version": "v3" }, { "created": "Wed, 25 Oct 2023 03:18:49 GMT", "version": "v4" }, { "created": "Thu, 8 Feb 2024 13:58:11 GMT", "version": "v5" } ]

2024-02-09

[ [ "Ghersi", "José T. Gálvez", "" ], [ "Braden", "Jonathan", "" ] ]

Oscillons are localized field configurations oscillating in time with lifetimes orders of magnitude longer than their oscillation period. In this paper, we simulate non-travelling oscillons produced by deforming the breather solutions of the sine-Gordon model. Such a deformation treats the dimensionality of the model as a real parameter to produce spherically symmetric oscillons. After considering the post-transient oscillation frequency as a control parameter, we probe the initial parameter space to continuously connect breathers and oscillons at various dimensionalities. For sufficiently small dimensional deformations, we find that oscillons can be treated as perturbatively deformed breathers. In $D\gtrsim 2$ spatial dimensions, we observe solutions undergoing intermittent phases of contraction and expansion in their cores. Knowing that stable and unstable configurations can be mapped to disjoint regions of the breather parameter space, we find that amplitude modulated solutions are located in the middle of both stability regimes. These solutions display the dynamics of critical behavior around the stability limit.

14.371066

15.00543

13.90478

13.348072

15.884139

14.299321

15.386918

14.194038

13.201342

15.240758

13.013721

13.660814

13.836415

13.724817

14.073725

13.899941

13.90536

13.864255

13.557376

13.911548

13.320983

1907.01001

Sever Amit

Nikolay Gromov and Amit Sever

Quantum Fishchain in $AdS_5$

38 pages, 3 figures, v2 - typos corrected, references updated, v3 - acknowledgment added

null

10.1007/JHEP10(2019)085

CERN-TH-2019-143

hep-th math-ph math.MP

http://creativecommons.org/licenses/by/4.0/

In our previous paper we derived the holographic dual of the planar fishnet CFT in four dimensions. The dual model becomes classical in the strongly coupled regime of the CFT and takes the form of an integrable chain of particles in five dimensions. Here we study the theory at the quantum level. By applying the canonical quantization procedure with constraints, we show that the model describes a quantum chain of particles propagating in $AdS_5$. We prove the duality at the full quantum level in the ${\mathfrak u}(1)$ sector and reproduce exactly the spectrum for the cases when it is known analytically.

[ { "created": "Mon, 1 Jul 2019 18:14:25 GMT", "version": "v1" }, { "created": "Fri, 20 Sep 2019 16:06:29 GMT", "version": "v2" }, { "created": "Thu, 3 Oct 2019 14:52:17 GMT", "version": "v3" } ]

2019-10-23

[ [ "Gromov", "Nikolay", "" ], [ "Sever", "Amit", "" ] ]

In our previous paper we derived the holographic dual of the planar fishnet CFT in four dimensions. The dual model becomes classical in the strongly coupled regime of the CFT and takes the form of an integrable chain of particles in five dimensions. Here we study the theory at the quantum level. By applying the canonical quantization procedure with constraints, we show that the model describes a quantum chain of particles propagating in $AdS_5$. We prove the duality at the full quantum level in the ${\mathfrak u}(1)$ sector and reproduce exactly the spectrum for the cases when it is known analytically.

8.689862

7.724915

9.703246

7.66

8.518186

8.437135

8.465625

7.826938

7.682229

9.623865

7.916995

7.755328

8.533426

7.926187

8.02312

7.956086

7.90215

7.761205

7.749359

8.540215

8.007532

1402.6900

Hajime Aoki

Hajime Aoki, Satoshi Iso, Yasuhiro Sekino

Evolution of vacuum fluctuations generated during and before inflation

54 pages, 12 figures; v2: references added; v3:version publised in PRD

Phys. Rev. D 89, 103536 (2014)

10.1103/PhysRevD.89.103536

SAGA-HE-281, KEK-TH-1705

hep-th astro-ph.CO hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We calculate the time evolution of the expectation value of the energy-momentum tensor for a minimally-coupled massless scalar field in cosmological spacetimes, with an application to dark energy in mind. We first study the evolution from inflation until the present, fixing the Bunch-Davies initial condition. The energy density of a quantum field evolves as $\rho \sim 3(H_I H)^2 /32 \pi^2 $ in the matter-dominated (MD) period, where $H_I$ and $H$ are the Hubble parameters during inflation and at each moment. Its equation of state, $w=\rho/p$, changes from a negative value to $w=1/3$ in the radiation-dominated period, and from $1/3$ to $w=0$ in the MD period. We then consider possible effects of a Planckian universe, which may have existed before inflation, by assuming there was another inflation with the Hubble parameter $H_P (> H_I)$. In this case, modes with wavelengths longer than the current horizon radius are mainly amplified, and the energy density of a quantum field grows with time as $\rho \sim (a/a_0)(H_P H)^2/32$ in the MD period, where $a$ and $a_0$ are the scale factors at each time and at present. Hence, if $H_P$ is of the order of the Planck scale $M_P$, $\rho$ becomes comparable to the critical density $3(M_P H)^2$ at the present time. The contribution to $\rho$ from the long wavelength fluctuations generated before the ordinary inflation has $w=-1/3$ in the free field approximation. We mention a possibility that interactions further amplify the energy density and change the equation of state.

[ { "created": "Thu, 27 Feb 2014 13:36:31 GMT", "version": "v1" }, { "created": "Tue, 11 Mar 2014 01:56:33 GMT", "version": "v2" }, { "created": "Sun, 8 Jun 2014 09:38:48 GMT", "version": "v3" } ]

2014-06-11

[ [ "Aoki", "Hajime", "" ], [ "Iso", "Satoshi", "" ], [ "Sekino", "Yasuhiro", "" ] ]

We calculate the time evolution of the expectation value of the energy-momentum tensor for a minimally-coupled massless scalar field in cosmological spacetimes, with an application to dark energy in mind. We first study the evolution from inflation until the present, fixing the Bunch-Davies initial condition. The energy density of a quantum field evolves as $\rho \sim 3(H_I H)^2 /32 \pi^2 $ in the matter-dominated (MD) period, where $H_I$ and $H$ are the Hubble parameters during inflation and at each moment. Its equation of state, $w=\rho/p$, changes from a negative value to $w=1/3$ in the radiation-dominated period, and from $1/3$ to $w=0$ in the MD period. We then consider possible effects of a Planckian universe, which may have existed before inflation, by assuming there was another inflation with the Hubble parameter $H_P (> H_I)$. In this case, modes with wavelengths longer than the current horizon radius are mainly amplified, and the energy density of a quantum field grows with time as $\rho \sim (a/a_0)(H_P H)^2/32$ in the MD period, where $a$ and $a_0$ are the scale factors at each time and at present. Hence, if $H_P$ is of the order of the Planck scale $M_P$, $\rho$ becomes comparable to the critical density $3(M_P H)^2$ at the present time. The contribution to $\rho$ from the long wavelength fluctuations generated before the ordinary inflation has $w=-1/3$ in the free field approximation. We mention a possibility that interactions further amplify the energy density and change the equation of state.

5.350095

5.914993

5.677473

5.278903

5.792089

5.784935

5.793526

5.777033

5.605268

6.007091

5.254974

5.398485

5.397818

5.395764

5.514217

5.331948

5.429578

5.333971

5.390517

5.448021

5.322402

1005.1981

Antonio Gonz\'alez-Arroyo

Antonio Gonz\'alez-Arroyo and Masanori Okawa

Large $N$ reduction with the Twisted Eguchi-Kawai model

latex file 14 pages, 4 figures

JHEP 1007:043,2010

10.1007/JHEP07(2010)043

IFT-UAM/CSIC-10-32; FTUAM-2010-9; HUPD-1002

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We examine the breaking of $Z_N$ symmetry recently reported for the Twisted Eguchi-Kawai model (TEK). We analyse the origin of this behaviour and propose simple modifications of twist and lattice action that could avoid the problem. Our results show no sign of symmetry breaking and allow us to obtain values of the large $N$ infinite volume string tension in agreement with extrapolations from results based upon straightforward methods.

[ { "created": "Wed, 12 May 2010 03:06:13 GMT", "version": "v1" } ]

2015-03-17

[ [ "González-Arroyo", "Antonio", "" ], [ "Okawa", "Masanori", "" ] ]

We examine the breaking of $Z_N$ symmetry recently reported for the Twisted Eguchi-Kawai model (TEK). We analyse the origin of this behaviour and propose simple modifications of twist and lattice action that could avoid the problem. Our results show no sign of symmetry breaking and allow us to obtain values of the large $N$ infinite volume string tension in agreement with extrapolations from results based upon straightforward methods.

18.753645

18.039818

21.013559

17.067175

16.394171

17.608139

17.011442

17.992132

16.048517

19.179237

16.981289

17.173141

17.278978

16.591631

17.500128

18.744429

17.074549

17.991047

16.891678

16.724127

17.658442

2210.17510

David Prinz

Renormalization of Gauge Theories and Gravity

155 pages, 22 figures, dissertation; based on arXiv:1812.09919 [hep-th], arXiv:2001.00104 [math-ph], arXiv:2004.09543 [hep-th], arXiv:2206.00780 [hep-th] and arXiv:2208.14166 [hep-th]

Humboldt University of Berlin (2022)

10.18452/25401

null

hep-th gr-qc math-ph math.MP

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study the perturbative quantization of gauge theories and gravity. Our investigations start with the geometry of spacetimes and particle fields. Then we discuss the various Lagrange densities of (effective) Quantum General Relativity coupled to the Standard Model. In addition, we study the corresponding BRST double complex of diffeomorphisms and gauge transformations. Next we apply Connes--Kreimer renormalization theory to the perturbative Feynman graph expansion: In this framework, subdivergences are organized via the coproduct of a Hopf algebra and the renormalization operation is described as an algebraic Birkhoff decomposition. To this end, we generalize and improve known coproduct identities and a theorem of van Suijlekom (2007) that relates (generalized) gauge symmetries to Hopf ideals. In particular, our generalization applies to gravity, as was suggested by Kreimer (2008). In addition, our results are applicable to theories with multiple vertex residues, coupling constants and such with a transversal structure. Additionally, we also provide criteria for the compatibility of these Hopf ideals with Feynman rules and the chosen renormalization scheme. We proceed by calculating the corresponding gravity-matter Feynman rules for any valence and with a general gauge parameter. Then we display all propagator and three-valent vertex Feynman rules and calculate the respective cancellation identities. Finally, we propose planned follow-up projects: This includes a generalization of Wigner's classification of elementary particles to linearized gravity, the representation of cancellation identities via Feynman graph cohomology and an investigation on the equivalence of different definitions for the graviton field. In particular, we argue that the appropriate setup to study perturbative BRST cohomology is a differential-graded Hopf algebra.

[ { "created": "Mon, 31 Oct 2022 17:35:06 GMT", "version": "v1" } ]

2022-11-23

[ [ "Prinz", "David", "" ] ]

We study the perturbative quantization of gauge theories and gravity. Our investigations start with the geometry of spacetimes and particle fields. Then we discuss the various Lagrange densities of (effective) Quantum General Relativity coupled to the Standard Model. In addition, we study the corresponding BRST double complex of diffeomorphisms and gauge transformations. Next we apply Connes--Kreimer renormalization theory to the perturbative Feynman graph expansion: In this framework, subdivergences are organized via the coproduct of a Hopf algebra and the renormalization operation is described as an algebraic Birkhoff decomposition. To this end, we generalize and improve known coproduct identities and a theorem of van Suijlekom (2007) that relates (generalized) gauge symmetries to Hopf ideals. In particular, our generalization applies to gravity, as was suggested by Kreimer (2008). In addition, our results are applicable to theories with multiple vertex residues, coupling constants and such with a transversal structure. Additionally, we also provide criteria for the compatibility of these Hopf ideals with Feynman rules and the chosen renormalization scheme. We proceed by calculating the corresponding gravity-matter Feynman rules for any valence and with a general gauge parameter. Then we display all propagator and three-valent vertex Feynman rules and calculate the respective cancellation identities. Finally, we propose planned follow-up projects: This includes a generalization of Wigner's classification of elementary particles to linearized gravity, the representation of cancellation identities via Feynman graph cohomology and an investigation on the equivalence of different definitions for the graviton field. In particular, we argue that the appropriate setup to study perturbative BRST cohomology is a differential-graded Hopf algebra.

11.145242

12.060552

12.611067

11.790532

12.427145

11.819268

12.187886

11.979633

11.933077

13.750401

11.855941

11.80349

12.014481

11.38749

11.650665

11.932408

11.697545

11.4099

11.648969

11.681647

11.322962

hep-th/0406040

Rong-Gen Cai

Rong-Gen Cai and Anzhong Wang

Non-asymptotically AdS/dS Solutions and Their Higher Dimensional Origins

Revtex4, v2: 17 pages, typos corrected, minor changes and references added

Phys.Rev.D70:084042,2004

10.1103/PhysRevD.70.084042

null

hep-th gr-qc

null

We look for and analyze in some details some exact solutions of Einstein-Maxwell-dilaton gravity with one or two Liouville-type dilaton potential(s) in an arbitrary dimension. Such a theory could be obtained by dimensionally reducing Einstein-Maxwell theory with a cosmological constant to a lower dimension. These (neutral/magnetic/electric charged) solutions can have a (two) black hole horizon(s), cosmological horizon, or a naked singularity. Black hole horizon or cosmological horizon of these solutions can be a hypersurface of positive, zero or negative constant curvature. These exact solutions are neither asymptotically flat, nor asymptotically AdS/dS. But some of them can be uplifted to a higher dimension, and those higher dimensional solutions are either asymptotically flat, or asymptotically AdS/dS with/without a compact constant curvature space. This observation is useful to better understand holographic properties of these non-asymptotically AdS/dS solutions.

[ { "created": "Thu, 3 Jun 2004 20:35:37 GMT", "version": "v1" }, { "created": "Sat, 14 Aug 2004 08:14:05 GMT", "version": "v2" } ]

2014-11-18

[ [ "Cai", "Rong-Gen", "" ], [ "Wang", "Anzhong", "" ] ]

We look for and analyze in some details some exact solutions of Einstein-Maxwell-dilaton gravity with one or two Liouville-type dilaton potential(s) in an arbitrary dimension. Such a theory could be obtained by dimensionally reducing Einstein-Maxwell theory with a cosmological constant to a lower dimension. These (neutral/magnetic/electric charged) solutions can have a (two) black hole horizon(s), cosmological horizon, or a naked singularity. Black hole horizon or cosmological horizon of these solutions can be a hypersurface of positive, zero or negative constant curvature. These exact solutions are neither asymptotically flat, nor asymptotically AdS/dS. But some of them can be uplifted to a higher dimension, and those higher dimensional solutions are either asymptotically flat, or asymptotically AdS/dS with/without a compact constant curvature space. This observation is useful to better understand holographic properties of these non-asymptotically AdS/dS solutions.

6.896808

6.022332

7.189513

6.301861

6.264748

6.23733

6.482999

5.952651

6.080015

7.421418

6.007147

6.232012

6.667269

6.429803

6.403847

6.486199

6.216547

6.269534

6.312892

6.866123

6.298279

1712.06571

Michele Del Zotto

Andreas P. Braun and Michele Del Zotto

Towards Generalized Mirror Symmetry for Twisted Connected Sum $G_2$ Manifolds

are welcome. 75 pages, 5 figures

null

10.1007/JHEP03(2018)082

null

hep-th math.AG math.DG

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We revisit our construction of mirror symmetries for compactifications of Type II superstrings on twisted connected sum $G_2$ manifolds. For a given $G_2$ manifold, we discuss evidence for the existence of mirror symmetries of two kinds: one is an autoequivalence for a given Type II superstring on a mirror pair of $G_2$ manifolds, the other is a duality between Type II strings with different chiralities for another pair of mirror manifolds. We clarify the role of the B-field in the construction, and check that the corresponding massless spectra are respected by the generalized mirror maps. We discuss hints towards a homological version based on BPS spectroscopy. We provide several novel examples of smooth, as well as singular, mirror $G_2$ backgrounds via pairs of dual projecting tops. We test our conjectures against a Joyce orbifold example, where we reproduce, using our geometrical methods, the known mirror maps that arise from the SCFT worldsheet perspective. Along the way, we discuss non-Abelian gauge symmetries, and argue for the generation of the Affleck-Harvey-Witten superpotential in the pure SYM case.

[ { "created": "Mon, 18 Dec 2017 18:31:13 GMT", "version": "v1" } ]

2018-04-18

[ [ "Braun", "Andreas P.", "" ], [ "Del Zotto", "Michele", "" ] ]

We revisit our construction of mirror symmetries for compactifications of Type II superstrings on twisted connected sum $G_2$ manifolds. For a given $G_2$ manifold, we discuss evidence for the existence of mirror symmetries of two kinds: one is an autoequivalence for a given Type II superstring on a mirror pair of $G_2$ manifolds, the other is a duality between Type II strings with different chiralities for another pair of mirror manifolds. We clarify the role of the B-field in the construction, and check that the corresponding massless spectra are respected by the generalized mirror maps. We discuss hints towards a homological version based on BPS spectroscopy. We provide several novel examples of smooth, as well as singular, mirror $G_2$ backgrounds via pairs of dual projecting tops. We test our conjectures against a Joyce orbifold example, where we reproduce, using our geometrical methods, the known mirror maps that arise from the SCFT worldsheet perspective. Along the way, we discuss non-Abelian gauge symmetries, and argue for the generation of the Affleck-Harvey-Witten superpotential in the pure SYM case.

10.024299

9.654966

12.314289

9.742259

10.224399

9.697903

10.11099

9.932734

9.777198

12.290989

9.435979

9.637554

10.769079

9.860699

10.045257

10.107517

9.874615

9.616735

10.010183

10.398537

9.864297

0812.3239

Paul Sutcliffe

Richard Battye and Paul Sutcliffe

Vorton construction and dynamics

17 pages, 10 figures

Nucl.Phys.B814:180-194,2009

10.1016/j.nuclphysb.2009.01.021

DCPT-08/69

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Vortons are closed loops of superconducting cosmic strings carrying current and charge. In this paper we present the first numerical construction of vortons in the global version of Witten's U(1)xU(1) theory. An energy minimization procedure is used to compute stationary vortons for a range of charges and currents, and the associated vorton radius is calculated. It is found that the standard analysis based on infinite straight cosmic strings does not provide a good description of the vorton cross-section. The computed solutions are used as initial conditions in an axially symmetric time evolution code, which verifies that the solutions are indeed stationary, and are stable to axially symmetric perturbations. Perturbations which preserve the axial symmetry excite oscillatory modes and produce an evolution which eventually returns to a stationary vorton. Finally, the constructed vorton solutions are used as initial conditions in a full (3+1)-dimensional simulation and an instability to non-axial perturbations is found. The instability produces a pinching and bending of the vorton which results in its destruction.

[ { "created": "Wed, 17 Dec 2008 10:21:15 GMT", "version": "v1" } ]

2009-03-24

[ [ "Battye", "Richard", "" ], [ "Sutcliffe", "Paul", "" ] ]

Vortons are closed loops of superconducting cosmic strings carrying current and charge. In this paper we present the first numerical construction of vortons in the global version of Witten's U(1)xU(1) theory. An energy minimization procedure is used to compute stationary vortons for a range of charges and currents, and the associated vorton radius is calculated. It is found that the standard analysis based on infinite straight cosmic strings does not provide a good description of the vorton cross-section. The computed solutions are used as initial conditions in an axially symmetric time evolution code, which verifies that the solutions are indeed stationary, and are stable to axially symmetric perturbations. Perturbations which preserve the axial symmetry excite oscillatory modes and produce an evolution which eventually returns to a stationary vorton. Finally, the constructed vorton solutions are used as initial conditions in a full (3+1)-dimensional simulation and an instability to non-axial perturbations is found. The instability produces a pinching and bending of the vorton which results in its destruction.

6.848299

6.459186

6.741564

6.104724

6.962276

6.660028

6.855589

6.298486

6.515605

6.796765

6.319831

6.276933

6.199316

6.061237

6.216676

6.0784

6.109127

6.190635

6.256792

6.16349

6.299622

hep-th/0203031

Miguel Costa

L. Cornalba (U. Amsterdam), Miguel S. Costa (ENS)

A New Cosmological Scenario in String Theory

28 pages, 3 figures; v2: Added new subsection relating two-dimensional model to BTZ black hole, typos corrected and references added; v3: minor corrections, PRD version

Phys.Rev. D66 (2002) 066001

10.1103/PhysRevD.66.066001

ITFA-2002-07, LPTENS-02-19

hep-th astro-ph gr-qc

null

We consider new cosmological solutions with a collapsing, an intermediate and an expanding phase. The boundary between the expanding (collapsing) phase and the intermediate phase is seen by comoving observers as a cosmological past (future) horizon. The solutions are naturally embedded in string and M-theory. In the particular case of a two-dimensional cosmology, space-time is flat with an identification under boost and translation transformations. We consider the corresponding string theory orbifold and calculate the modular invariant one-loop partition function. In this case there is a strong parallel with the BTZ black hole. The higher dimensional cosmologies have a time-like curvature singularity in the intermediate region. In some cases the string coupling can be made small throughout all of space-time but string corrections become important at the singularity. This happens where string winding modes become light which could resolve the singularity. The new proposed space-time casual structure could have implications for cosmology, independently of string theory.

[ { "created": "Mon, 4 Mar 2002 20:48:49 GMT", "version": "v1" }, { "created": "Fri, 22 Mar 2002 19:54:02 GMT", "version": "v2" }, { "created": "Tue, 1 Oct 2002 12:35:53 GMT", "version": "v3" } ]

2009-11-07

[ [ "Cornalba", "L.", "", "U. Amsterdam" ], [ "Costa", "Miguel S.", "", "ENS" ] ]

We consider new cosmological solutions with a collapsing, an intermediate and an expanding phase. The boundary between the expanding (collapsing) phase and the intermediate phase is seen by comoving observers as a cosmological past (future) horizon. The solutions are naturally embedded in string and M-theory. In the particular case of a two-dimensional cosmology, space-time is flat with an identification under boost and translation transformations. We consider the corresponding string theory orbifold and calculate the modular invariant one-loop partition function. In this case there is a strong parallel with the BTZ black hole. The higher dimensional cosmologies have a time-like curvature singularity in the intermediate region. In some cases the string coupling can be made small throughout all of space-time but string corrections become important at the singularity. This happens where string winding modes become light which could resolve the singularity. The new proposed space-time casual structure could have implications for cosmology, independently of string theory.

12.724548

12.896643

13.306077

12.242229

12.757277

12.806575

12.860918

11.944754

11.637309

15.18559

11.943703

12.348329

12.755142

12.216094

12.178267

12.037423

12.437436

12.461259

12.071144

12.691708

11.891285

0902.4515

Piljin Yi

Holographic Baryons

28 pages, 2 figures, a reference added, to appear in "Multifaceted Skyrmion," edited by J. Brown and M. Rho, World Scientific

null

10.1142/9789814280709_0016

KIAS-P08084, SU-ITP-08/35

hep-th nucl-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We review baryons in the D4-D8 holographic model of low energy QCD, with the large $N_c$ and the large 't Hooft coupling limit. The baryon is identified with a bulk soliton of a unit Pontryagin number, which from the four-dimensional viewpoint translates to a heavily modified Skyrmion dressed by condensates of spin one mesons. We explore classical properties and find that the baryon in the holographic limit is amenable to an effective field theory description. We also present a simple method to capture all leading and subleading interactions in the $1/N_c$ and the derivative expansions. An infinitely predictive model of baryon-meson interactions is thus derived, although one may trust results only for low energy processes, given various approximations in the bulk. We showcase a few comparisons to experiments, such the leading axial couplings to pions, the leading vector-like coupling, and a qualitative prediction of the electromagnetic vector dominance that involves the entire tower of vector mesons. (This article is an expanded version of a proceeding contribution to "30 years of mathematical method in high energy physics," Kyoto 2008)

[ { "created": "Thu, 26 Feb 2009 06:25:53 GMT", "version": "v1" }, { "created": "Tue, 3 Mar 2009 06:30:41 GMT", "version": "v2" } ]

2016-12-21

[ [ "Yi", "Piljin", "" ] ]

We review baryons in the D4-D8 holographic model of low energy QCD, with the large $N_c$ and the large 't Hooft coupling limit. The baryon is identified with a bulk soliton of a unit Pontryagin number, which from the four-dimensional viewpoint translates to a heavily modified Skyrmion dressed by condensates of spin one mesons. We explore classical properties and find that the baryon in the holographic limit is amenable to an effective field theory description. We also present a simple method to capture all leading and subleading interactions in the $1/N_c$ and the derivative expansions. An infinitely predictive model of baryon-meson interactions is thus derived, although one may trust results only for low energy processes, given various approximations in the bulk. We showcase a few comparisons to experiments, such the leading axial couplings to pions, the leading vector-like coupling, and a qualitative prediction of the electromagnetic vector dominance that involves the entire tower of vector mesons. (This article is an expanded version of a proceeding contribution to "30 years of mathematical method in high energy physics," Kyoto 2008)

13.788078

14.314203

13.825869

13.296087

14.371495

13.592113

13.80367

13.130128

13.428912

15.247198

12.759388

13.076924

13.068699

13.268521

13.124426

13.038374

13.643119

12.800486

12.898393

12.74959

12.886495

hep-th/0004091

David McMullan

Emili Bagan, Robin Horan, Martin Lavelle and David McMullan

Effective Quarks and Their Interactions

10 pages, LaTeX, to appear in the proceedings of the workshop `Physical Variables in Gauge Theories'

null

hep-th

null

This talk will summarise the progress we have made in our programme to both characterise and construct charges in gauge theories. As an application of these ideas we will see how the dominant glue surrounding quarks, which is responsible for asymptotic freedom, emerges from a constituent description of the interquark potential.

[ { "created": "Wed, 12 Apr 2000 14:56:23 GMT", "version": "v1" } ]

2007-05-23

[ [ "Bagan", "Emili", "" ], [ "Horan", "Robin", "" ], [ "Lavelle", "Martin", "" ], [ "McMullan", "David", "" ] ]

This talk will summarise the progress we have made in our programme to both characterise and construct charges in gauge theories. As an application of these ideas we will see how the dominant glue surrounding quarks, which is responsible for asymptotic freedom, emerges from a constituent description of the interquark potential.

17.070028

18.157568

14.945124

15.104033

18.234802

16.204594

15.674724

16.652729

17.462418

18.240877

16.923027

17.482908

15.955145

16.157642

17.213699

16.852911

16.689766

17.195118

16.69071

17.527056

17.059286

hep-th/9506124

null

L.Bonora, F.Nesti, E.Vinteler

Multi-Matrix Models: Integrability Properties and Topological Content

31 pages, Latex

Int.J.Mod.Phys. A11 (1996) 1797-1830

10.1142/S0217751X9600095X

SISSA 68/95/EP

hep-th

null

We analyze multi--matrix chain models. They can be considered as multi--component Toda lattice hierarchies subject to suitable coupling conditions. The extension of such models to include extra discrete states requires a weak form of integrability. The discrete states of the $q$--matrix model are organized in representations of $sl_q$. We solve exactly the Gaussian--type models, of which we compute several all-genus correlators. Among the latter models one can classify also the discretized $c=1$ string theory, which we revisit using Toda lattice hierarchy methods. Finally we analyze the topological field theory content of the $2q$--matrix models: we define primary fields (which are $\infty^q$), metrics and structure constants and prove that they satisfy the axioms of topological field theories. We outline a possible method to extract interesting topological field theories with a finite number of primaries.

[ { "created": "Mon, 19 Jun 1995 16:55:25 GMT", "version": "v1" } ]

2015-06-26

[ [ "Bonora", "L.", "" ], [ "Nesti", "F.", "" ], [ "Vinteler", "E.", "" ] ]

We analyze multi--matrix chain models. They can be considered as multi--component Toda lattice hierarchies subject to suitable coupling conditions. The extension of such models to include extra discrete states requires a weak form of integrability. The discrete states of the $q$--matrix model are organized in representations of $sl_q$. We solve exactly the Gaussian--type models, of which we compute several all-genus correlators. Among the latter models one can classify also the discretized $c=1$ string theory, which we revisit using Toda lattice hierarchy methods. Finally we analyze the topological field theory content of the $2q$--matrix models: we define primary fields (which are $\infty^q$), metrics and structure constants and prove that they satisfy the axioms of topological field theories. We outline a possible method to extract interesting topological field theories with a finite number of primaries.

18.10187

19.649158

21.115143

17.405655

19.730009

19.068216

18.571791

17.08901

18.010145

23.546272

18.740007

17.863569

19.120378

16.941618

17.39447

17.575676

17.369709

16.656736

16.736097

18.473244

16.898432

hep-th/0604138

Ziyu Liu

Xiguo Lee, Ziyu Liu, Yongqing Li, Yuan Gao, Yanrui Guo, Guoqing Xiao

Topological structure of the vortex solution in Jackiw-Pi model

12 pages, 4 figures,Corrected typos

Commun.Theor.Phys.48:143-146,2007

10.1088/0253-6102/48/1/029

null

hep-th

null

By using $\phi$ -mapping method, we discuss the topological structure of the self-duality solution in Jackiw-Pi model in terms of gauge potential decomposition. We set up relationship between Chern-Simons vortices solution and topological number which is determined by Hopf index and and Brouwer degree. We also give the quantization of flux in the case. Then, we study the angular momentum of the vortex, it can be expressed in terms of the flux.

[ { "created": "Thu, 20 Apr 2006 02:38:56 GMT", "version": "v1" }, { "created": "Tue, 5 Sep 2006 08:51:29 GMT", "version": "v2" }, { "created": "Sun, 5 Nov 2006 09:49:48 GMT", "version": "v3" } ]

2014-11-18

[ [ "Lee", "Xiguo", "" ], [ "Liu", "Ziyu", "" ], [ "Li", "Yongqing", "" ], [ "Gao", "Yuan", "" ], [ "Guo", "Yanrui", "" ], [ "Xiao", "Guoqing", "" ] ]

By using $\phi$ -mapping method, we discuss the topological structure of the self-duality solution in Jackiw-Pi model in terms of gauge potential decomposition. We set up relationship between Chern-Simons vortices solution and topological number which is determined by Hopf index and and Brouwer degree. We also give the quantization of flux in the case. Then, we study the angular momentum of the vortex, it can be expressed in terms of the flux.

14.634952

9.220041

13.597689

10.792317

10.938774

10.502007

9.344803

9.899295

9.889557

14.626977

10.890956

11.03139

11.953285

11.488762

11.15611

11.488318

10.966467

11.291124

11.217036

12.391266

12.00174

1812.11765

Shao-Jun Zhang

Yong Chen, Haitang Li and Shao-Jun Zhang

Microscopic explanation for black hole phase transitions via Ruppeiner geometry: two competing factors-the temperature and repulsive interaction among BH molecules

16 pages, 7 figures;v2:minor modifications, refs added;v3:minor modifications, more refs added; v4:minor modifications to match published version

Nucl. Phys. B948 (2019) 114752

10.1016/j.nuclphysb.2019.114752

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Charged dilatonic black hole (BH) has rather rich phase diagrams which may contain zeroth-order, first-order as well as reentrant phase transitions (RPTs) depending on the value of the coupling constant $\alpha$ between the electromagnetic field and the dilaton. We try to give a microscopic explanation for these phase transitions by adopting Ruppeiner's approach. By studying the behaviors of the Ruppeiner invariant $R$ along the co-existing lines, we find that the various phase transitions may be qualitatively well explained as a result of two competing factors: the first one is the low-temperature effect which tends to shrink the BH and the second one is the repulsive interaction between the BH molecules which, on the contrary, tends to expand the BH. In the standard phase transition without RPT, as temperature is lowered, the first kind of factor dominates over the second one, so that large black hole (LBH) tends to shrink and thus transits to small black hole (SBH); While in the RPT, after the LBH-SBH transition, as temperature is further decreased, the strength of the second factor increases quickly and finally becomes strong enough to dominate over the first factor, so that SBH tends to expand to release the high repulsion and thus transits back to LBH. Moreover, by comparing the behavior of $R$ versus the temperature $T$ with fixed pressure to that of ordinary two-dimensional thermodynamical systems but with fixed specific volume, it is interesting to see that SBH behaves like a Fermionic gas system in cases with RPT, while it behaves oppositely to an anyon system in cases without RPT. And in all cases, LBH behaves like a nearly ideal gas system.

[ { "created": "Mon, 31 Dec 2018 11:21:45 GMT", "version": "v1" }, { "created": "Wed, 9 Jan 2019 02:17:45 GMT", "version": "v2" }, { "created": "Fri, 22 Feb 2019 02:54:31 GMT", "version": "v3" }, { "created": "Tue, 8 Oct 2019 01:25:40 GMT", "version": "v4" } ]

2019-10-09

[ [ "Chen", "Yong", "" ], [ "Li", "Haitang", "" ], [ "Zhang", "Shao-Jun", "" ] ]

Charged dilatonic black hole (BH) has rather rich phase diagrams which may contain zeroth-order, first-order as well as reentrant phase transitions (RPTs) depending on the value of the coupling constant $\alpha$ between the electromagnetic field and the dilaton. We try to give a microscopic explanation for these phase transitions by adopting Ruppeiner's approach. By studying the behaviors of the Ruppeiner invariant $R$ along the co-existing lines, we find that the various phase transitions may be qualitatively well explained as a result of two competing factors: the first one is the low-temperature effect which tends to shrink the BH and the second one is the repulsive interaction between the BH molecules which, on the contrary, tends to expand the BH. In the standard phase transition without RPT, as temperature is lowered, the first kind of factor dominates over the second one, so that large black hole (LBH) tends to shrink and thus transits to small black hole (SBH); While in the RPT, after the LBH-SBH transition, as temperature is further decreased, the strength of the second factor increases quickly and finally becomes strong enough to dominate over the first factor, so that SBH tends to expand to release the high repulsion and thus transits back to LBH. Moreover, by comparing the behavior of $R$ versus the temperature $T$ with fixed pressure to that of ordinary two-dimensional thermodynamical systems but with fixed specific volume, it is interesting to see that SBH behaves like a Fermionic gas system in cases with RPT, while it behaves oppositely to an anyon system in cases without RPT. And in all cases, LBH behaves like a nearly ideal gas system.

6.720577

6.62103

6.641683

6.382309

6.589685

6.682503

6.495155

6.373693

6.389961

7.039258

6.43354

6.567248

6.328139

6.291346

6.553781

6.435147

6.524993

6.323856

6.374558

6.425623

6.482079

1006.4684

Kallosh Renata

Renata Kallosh and Pierre Ramond

Light-by-Light Scattering Effect in Light-Cone Supergraphs

9 pages

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We give a relatively simple explanation of the light-cone supergraph prediction for the UV properties of the maximally supersymmetric theories. It is based on the existence of a dynamical supersymmetry which is not manifest in the light-cone supergraphs. It suggests that N=4 supersymmetric Yang-Mills theory is UV finite and N=8 supergravity is UV finite at least until 7 loops whereas the $n$-point amplitudes have no UV divergences at least until $L=n+3$. Here we show that this prediction can be deduced from the properties of light-cone supergraphs analogous to the light-by-light scattering effect in QED. A technical aspect of the argument relies on the observation that the dynamical supersymmetry action is, in fact, a compensating field-dependent gauge transformation required for the retaining the light-cone gauge condition $A_+=0$.

[ { "created": "Thu, 24 Jun 2010 04:07:06 GMT", "version": "v1" } ]

2010-06-25

[ [ "Kallosh", "Renata", "" ], [ "Ramond", "Pierre", "" ] ]

We give a relatively simple explanation of the light-cone supergraph prediction for the UV properties of the maximally supersymmetric theories. It is based on the existence of a dynamical supersymmetry which is not manifest in the light-cone supergraphs. It suggests that N=4 supersymmetric Yang-Mills theory is UV finite and N=8 supergravity is UV finite at least until 7 loops whereas the $n$-point amplitudes have no UV divergences at least until $L=n+3$. Here we show that this prediction can be deduced from the properties of light-cone supergraphs analogous to the light-by-light scattering effect in QED. A technical aspect of the argument relies on the observation that the dynamical supersymmetry action is, in fact, a compensating field-dependent gauge transformation required for the retaining the light-cone gauge condition $A_+=0$.

9.718678

9.703691

10.557118

9.23109

9.999719

9.894016

9.093737

9.057034

9.439845

11.543967

9.259604

8.909697

10.364369

9.388645

9.361775

9.404951

9.514368

9.302717

9.432328

10.282537

9.058358

hep-th/0211129

Ko Furuta

Ko Furuta, Takeo Inami, Masayoshi Yamamoto

Topics in Nonlinear Sigma Models in D=3

19 pages, 2 figures; v2 minor changes, references added, Contributed talk given at: Workshop on Integrable Theories, Solitons and Duality, Sao Paulo, Brazil, 1-6 Jul 2002

null

hep-th

null

Nonlinear sigma models (NLSM) in d=3 have many interesting and non-trivial features, which were explored poorly in contrast with NLSM in d=2 and d=4. We present a few results from our study of the perturbative and non-perturbative properties of three-dimensional (3D) NLSM. i) We have shown that cancellation of ultra-violet (UV) divergences takes place in 3D extended (N=2,4) supersymmetric NLSM in low orders of the 1/n expansion. ii) We consider noncommutative extension of the 3D CP(n) model, and study low-energy dynamics of BPS solitons in this model. We also discuss briefly dynamics of non-BPS solutions.

[ { "created": "Thu, 14 Nov 2002 08:20:12 GMT", "version": "v1" }, { "created": "Tue, 26 Nov 2002 10:59:41 GMT", "version": "v2" } ]

2007-05-23

[ [ "Furuta", "Ko", "" ], [ "Inami", "Takeo", "" ], [ "Yamamoto", "Masayoshi", "" ] ]

Nonlinear sigma models (NLSM) in d=3 have many interesting and non-trivial features, which were explored poorly in contrast with NLSM in d=2 and d=4. We present a few results from our study of the perturbative and non-perturbative properties of three-dimensional (3D) NLSM. i) We have shown that cancellation of ultra-violet (UV) divergences takes place in 3D extended (N=2,4) supersymmetric NLSM in low orders of the 1/n expansion. ii) We consider noncommutative extension of the 3D CP(n) model, and study low-energy dynamics of BPS solitons in this model. We also discuss briefly dynamics of non-BPS solutions.

6.730206

5.998228

7.023341

6.336281

6.427232

6.288901

6.509274

6.194364

6.091144

7.66902

5.967816

6.318733

6.54221

6.445501

6.311579

6.188747

6.325786

6.313829

6.357916

6.633237

6.347322

hep-th/0611032

Eduardo Rodr\'iguez

Transgression Forms and Abelian Semigroups in Supergravity

Ph.D. Thesis, Universidad de Concepci\'on, Chile (2006). 153 pages, 6 figures, in Spanish

null

hep-th math-ph math.MP

null

Two main themes populate this Thesis's pages: transgression forms as Lagrangians for gauge theories and the Abelian semigroup expansion of Lie algebras. A transgression form is a function of two gauge connections whose main property is its full invariance under gauge transformations. From this form a Lagrangian is built, and equations of motion, boundary conditions and associated Noether currents are derived. A subspace separation method, based on the extended Cartan homotopy formula, is proposed, which allows to (i) split the Lagrangian in 'bulk' and 'boundary' contributions and (ii) separate the bulk term in sublagrangians corresponding to the subspaces of the gauge algebra. Use is made of Abelian semigroups to develop an expansion method for Lie (super)algebras, based on the work by de Azcarraga, Izquierdo, Picon and Varela. The main idea consists in considering the direct product between an Abelian semigroup S and a Lie (super)algebra g. General conditions under which smaller algebras can be extracted from S \otimes g are given. It is shown how to recover the known expansion cases in this new context. Several d=11 superalgebras are obtained as examples of the application of the method. General theorems that allow to find an invariant tensor for the expanded algebra from an invariant tensor for the original algebra are formulated. Finally, a d=11 gauge theory for the M Algebra is considered by using the ideas developed in the Thesis. The dynamical properties of this theory are briefly analyzed.

[ { "created": "Thu, 2 Nov 2006 17:48:31 GMT", "version": "v1" } ]

2008-01-22

[ [ "Rodríguez", "Eduardo", "" ] ]

Two main themes populate this Thesis's pages: transgression forms as Lagrangians for gauge theories and the Abelian semigroup expansion of Lie algebras. A transgression form is a function of two gauge connections whose main property is its full invariance under gauge transformations. From this form a Lagrangian is built, and equations of motion, boundary conditions and associated Noether currents are derived. A subspace separation method, based on the extended Cartan homotopy formula, is proposed, which allows to (i) split the Lagrangian in 'bulk' and 'boundary' contributions and (ii) separate the bulk term in sublagrangians corresponding to the subspaces of the gauge algebra. Use is made of Abelian semigroups to develop an expansion method for Lie (super)algebras, based on the work by de Azcarraga, Izquierdo, Picon and Varela. The main idea consists in considering the direct product between an Abelian semigroup S and a Lie (super)algebra g. General conditions under which smaller algebras can be extracted from S \otimes g are given. It is shown how to recover the known expansion cases in this new context. Several d=11 superalgebras are obtained as examples of the application of the method. General theorems that allow to find an invariant tensor for the expanded algebra from an invariant tensor for the original algebra are formulated. Finally, a d=11 gauge theory for the M Algebra is considered by using the ideas developed in the Thesis. The dynamical properties of this theory are briefly analyzed.

9.298053

8.768573

9.892323

8.856496

9.148323

8.699053

8.445831

8.680908

8.49041

9.876327

8.770461

8.171631

8.611691

8.354419

8.233499

8.455133

8.236471

8.276706

8.402125

8.687749

8.267323

1004.0667

Adolfo Huet

New relations between spinor and scalar one-loop effective Lagrangians in constant background fields

null

Int.J.Mod.Phys.A25:4055-4065,2010

10.1142/S0217751X10050263

null

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Simple new relations are presented between the one-loop effective Lagrangians of spinor and scalar particles in constant curvature background fields, both electromagentic and gravitational. These relations go beyond the well-known cases for self-dual background fields.

[ { "created": "Mon, 5 Apr 2010 17:35:56 GMT", "version": "v1" } ]

2015-03-14

[ [ "Huet", "Adolfo", "" ] ]

Simple new relations are presented between the one-loop effective Lagrangians of spinor and scalar particles in constant curvature background fields, both electromagentic and gravitational. These relations go beyond the well-known cases for self-dual background fields.

21.347742

11.427144

16.683617

12.587876

11.542833

11.104469

11.145332

11.125072

11.795231

18.301655

12.345109

11.268303

14.057487

12.298273

12.123027

12.014291

11.538222

11.41547

13.423109

14.962436

11.974775

hep-th/9607008

Valerie Nowak

Stephen L. Adler

Quaternionic Quantum Mechanics and Noncommutative Dynamics

Plain Tex, 7 pages, no figures

null

IASSNS-HEP 96-72

hep-th

null

In this talk I shall first make some brief remarks on quaternionic quantum mechanics, and then describe recent work with A.C. Millard in which we show that standard complex quantum field theory can arise as the statistical mechanics of an underlying noncommutative dynamics.

[ { "created": "Mon, 1 Jul 1996 19:07:46 GMT", "version": "v1" } ]

2007-05-23

[ [ "Adler", "Stephen L.", "" ] ]

In this talk I shall first make some brief remarks on quaternionic quantum mechanics, and then describe recent work with A.C. Millard in which we show that standard complex quantum field theory can arise as the statistical mechanics of an underlying noncommutative dynamics.

12.631933

13.160787

12.994276

9.88373

9.842514

11.034421

10.966367

11.829666

11.459974

13.339763

11.891637

11.722868

11.994051

11.871455

11.567344

11.793547

11.290858

10.954728

11.860977

11.806432

12.253744

1704.00614

Elizabeth Winstanley

Victor E. Ambrus and Elizabeth Winstanley

Thermal expectation values of fermions on anti-de Sitter space-time

36 pages, 5 figures, very minor changes, accepted for publication in Classical and Quantum Gravity

Class. Quantum Grav. 34, 145010 (2017)

10.1088/1361-6382/aa7863

null

hep-th gr-qc

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Making use of the symmetries of anti-de Sitter space-time, we derive an analytic expression for the bispinor of parallel transport, from which we construct in closed form the vacuum Feynman Green's function of the Dirac field on this background. Using the imaginary time anti-periodicity property of the thermal Feynman Green's function, we calculate the thermal expectation values of the fermion condensate and stress-energy tensor and highlight the effect of quantum corrections as compared to relativistic kinetic theory results.

[ { "created": "Mon, 3 Apr 2017 14:28:27 GMT", "version": "v1" }, { "created": "Fri, 23 Jun 2017 18:55:26 GMT", "version": "v2" } ]

2019-03-15

[ [ "Ambrus", "Victor E.", "" ], [ "Winstanley", "Elizabeth", "" ] ]

Making use of the symmetries of anti-de Sitter space-time, we derive an analytic expression for the bispinor of parallel transport, from which we construct in closed form the vacuum Feynman Green's function of the Dirac field on this background. Using the imaginary time anti-periodicity property of the thermal Feynman Green's function, we calculate the thermal expectation values of the fermion condensate and stress-energy tensor and highlight the effect of quantum corrections as compared to relativistic kinetic theory results.

9.158834

8.517489

9.705052

8.08949

8.732904

8.371056

9.723494

8.168919

8.589254

9.328874

8.51123

8.579218

8.544813

8.654114

8.324821

8.27313

8.616134

8.333639

8.839611

8.811247

8.743622

hep-th/0701157

Robert Brandenberger

Robert Brandenberger (McGill University)

Topics in Cosmology

Invited lectures at the Summer School on Particle Physics, Gravity and Cosmology (Dubrovnik, August 2006), publ. in the on-line proceedings (PoS(P2GC)007). 46 pages, 5 figures

PoS P2GC:007,2006

null

hep-th astro-ph gr-qc hep-ph

null

These lectures present a brief review of inflationary cosmology, provide an overview of the theory of cosmological perturbations, and then focus on the conceptual problems of the current paradigm of early universe cosmology, thus motivating an exploration of the potential of string theory to provide a new paradigm. Specifically, the string gas cosmology model is introduced, and a resulting mechanism for structure formation which does not require a period of cosmological inflation is discussed.

[ { "created": "Wed, 17 Jan 2007 06:33:43 GMT", "version": "v1" } ]

2009-01-30

[ [ "Brandenberger", "Robert", "", "McGill University" ] ]

These lectures present a brief review of inflationary cosmology, provide an overview of the theory of cosmological perturbations, and then focus on the conceptual problems of the current paradigm of early universe cosmology, thus motivating an exploration of the potential of string theory to provide a new paradigm. Specifically, the string gas cosmology model is introduced, and a resulting mechanism for structure formation which does not require a period of cosmological inflation is discussed.

8.659548

7.955231

8.503375

7.485018

7.588933

8.530384

7.200997

7.297975

7.029485

8.750855

7.395306

7.537421

7.752729

7.369499

7.336282

7.877465

7.801325

7.489056

7.925741

7.703817

7.403931

2104.00361

Matteo Maria Maglio

Conformal Symmetry in Momentum Space and Anomaly Actions in Gravity

PhD Thesis, 245 pages, 12 figures

null

hep-th hep-ph math-ph math.MP

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

In this thesis we study the momentum space approach to the solution of the CWI's of CFT's in higher dimensions. Our work's goal is to illustrate the essential steps needed to build tensor correlators starting from the scalar solutions, for 3-point functions. In the case of 4-point functions, our attention is centred around scalar correlators for which the CWI's are sufficient to isolate the unique solution if we enhance the symmetry with the addition of a dual conformal symmetry. Dual conformal symmetry in momentum space is obtained once the momentum variables are rewritten in a dual form, as the difference of coordinate-like variables and treated as ordinary correlators in such variables, mirroring the action of coordinate space. This enhancement of the symmetry is sufficient to fix the solutions also for such correlators. The solution of the conformal constraints are given in terms of triple-$K$ integrals and are expressed in terms of a set of constants, specific for each correlator and spacetime dimension. We present a discussion of the intermediate steps in the description of two nontrivial correlators, the $TTO$ and the $TTT$, in a more pedagogical way, offering details that could help extend such methods to higher point function.

[ { "created": "Thu, 1 Apr 2021 09:35:42 GMT", "version": "v1" } ]

2021-04-02

[ [ "Maglio", "Matteo Maria", "" ] ]

In this thesis we study the momentum space approach to the solution of the CWI's of CFT's in higher dimensions. Our work's goal is to illustrate the essential steps needed to build tensor correlators starting from the scalar solutions, for 3-point functions. In the case of 4-point functions, our attention is centred around scalar correlators for which the CWI's are sufficient to isolate the unique solution if we enhance the symmetry with the addition of a dual conformal symmetry. Dual conformal symmetry in momentum space is obtained once the momentum variables are rewritten in a dual form, as the difference of coordinate-like variables and treated as ordinary correlators in such variables, mirroring the action of coordinate space. This enhancement of the symmetry is sufficient to fix the solutions also for such correlators. The solution of the conformal constraints are given in terms of triple-$K$ integrals and are expressed in terms of a set of constants, specific for each correlator and spacetime dimension. We present a discussion of the intermediate steps in the description of two nontrivial correlators, the $TTO$ and the $TTT$, in a more pedagogical way, offering details that could help extend such methods to higher point function.

14.334039

14.123709

14.930208

14.056455

14.679468

14.248512

14.657463

14.493221

13.906858

15.967135

13.92695

13.878539

14.043314

13.704538

13.680681

13.95864

13.949521

13.558792

13.676784

13.915828

13.23677

2004.08186

Matteo Buzzegoli

Thermodynamic equilibrium of massless fermions with vorticity, chirality and magnetic field

134 pages, PhD Thesis, partially based on arXiv:1704.02808 and arXiv:1807.02071

null

hep-th gr-qc nucl-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The present thesis aimed to examine the effects of vorticity on the thermodynamics of relativistic quantum systems. We extend the Zubarev's non-equilibrium statistical operator method to address quantum effects induced by vorticity in the presence of chiral matter and external electromagnetic field and keeping full covariant and quantum properties of the system. To investigate the effects of vorticity, this work has been focused on systems consisting of massless chiral fermions. We recovered the significant quantum phenomena known in the literature, namely the chiral magnetic effect, the chiral vortical effect, the axial vortical effect and the chiral separation effect and we also revealed the presence of additional effects at second-order on thermal vorticity. This study has also identified and presented the exact solutions of thermal states for a system at global thermal equilibrium consisting of chiral massless fermions under the action of an external constant homogeneous magnetic field. Taking advantage of these exact solutions and conservation equations, the study also proved that the thermal coefficients related to first-order effects on thermal vorticity do not receive corrections from the external electromagnetic field. The same argument revealed existing relations between those thermal coefficients, even connecting coefficients related to vorticity to other related to electromagnetic field. For instance, this analysis has found that the chiral vortical effect and the chiral magnetic effect conductivities are connected one to the other by a differential equation. Therefore, this research provides the first steps into deriving the relations between the effects and the interplay of electromagnetic fields and vorticity.

[ { "created": "Fri, 17 Apr 2020 11:41:35 GMT", "version": "v1" } ]

2020-04-20

[ [ "Buzzegoli", "Matteo", "" ] ]

The present thesis aimed to examine the effects of vorticity on the thermodynamics of relativistic quantum systems. We extend the Zubarev's non-equilibrium statistical operator method to address quantum effects induced by vorticity in the presence of chiral matter and external electromagnetic field and keeping full covariant and quantum properties of the system. To investigate the effects of vorticity, this work has been focused on systems consisting of massless chiral fermions. We recovered the significant quantum phenomena known in the literature, namely the chiral magnetic effect, the chiral vortical effect, the axial vortical effect and the chiral separation effect and we also revealed the presence of additional effects at second-order on thermal vorticity. This study has also identified and presented the exact solutions of thermal states for a system at global thermal equilibrium consisting of chiral massless fermions under the action of an external constant homogeneous magnetic field. Taking advantage of these exact solutions and conservation equations, the study also proved that the thermal coefficients related to first-order effects on thermal vorticity do not receive corrections from the external electromagnetic field. The same argument revealed existing relations between those thermal coefficients, even connecting coefficients related to vorticity to other related to electromagnetic field. For instance, this analysis has found that the chiral vortical effect and the chiral magnetic effect conductivities are connected one to the other by a differential equation. Therefore, this research provides the first steps into deriving the relations between the effects and the interplay of electromagnetic fields and vorticity.

10.108043

10.994802

10.343195

9.899175

10.288903

10.636748

10.588514

10.706015

9.926086

10.344928

10.343106

10.209611

10.080241

9.924497

10.193093

10.283147

10.188346

10.169162

10.148339

10.242558

10.262307

hep-th/9312032

German Sierra

C.Gomez and G.Sierra

On the integrability of N=2 supersymmetric massive theories

26 pages, Latex (this version replaces a previously corrupted one; epic.sty macro needed, available from hep-th in compressed form epic.sty.tar.Z)

Nucl.Phys. B419 (1994) 589-610

10.1016/0550-3213(94)90346-8

null

hep-th

null

In this paper we propose a criteria to establish the integrability of N=2 supersymmetric massive theories.The basic data required are the vacua and the spectrum of Bogomolnyi solitons, which can be neatly encoded in a graph (nodes=vacua and links= Bogomolnyi solitons). Integrability is then equivalent to the existence of solutions of a generalized Yang-Baxter equation which is built up from the graph (graph-Yang-Baxter equation). We solve this equation for two general types of graphs: circular and daisy, proving, in particular, the inte- grability of the following Landau-Ginzburg superpotentials: A_n(t_1), A_n(t_2), D_n(\tau),E_6(t_7), E_8(t_16). For circular graphs the solutions are intertwiners of the affine Hopf algebra $\tilde(U)_q(A^{(1)}_1)$, while for daisy graphs the solution corresponds to a susy generalization of the Boltzmann weights of the chiral Potts model in the trigonometric regime. A chiral Potts like solution is conjectured for the more tricky case $ D_n(t_2)$. The scattering theory of circular models, for instance $A_n(t_1)$ or $D_n(\tau)$, is Toda like. The physical spectrum of daisy models, as $A_n(t_2), E_6(t_7)$ or $E_8(t_16)$, is given by confined states of radial solitons. The scattering theory of the confined states is again Toda like. Bootstrap factors for the confined solitons are given by fusing the susy chiral Potts S-matrices of the elementary constituents, i.e. the radial solitons of the daisy graph.

[ { "created": "Fri, 3 Dec 1993 16:15:18 GMT", "version": "v1" }, { "created": "Thu, 9 Dec 1993 10:55:39 GMT", "version": "v2" } ]

2009-10-22

[ [ "Gomez", "C.", "" ], [ "Sierra", "G.", "" ] ]

In this paper we propose a criteria to establish the integrability of N=2 supersymmetric massive theories.The basic data required are the vacua and the spectrum of Bogomolnyi solitons, which can be neatly encoded in a graph (nodes=vacua and links= Bogomolnyi solitons). Integrability is then equivalent to the existence of solutions of a generalized Yang-Baxter equation which is built up from the graph (graph-Yang-Baxter equation). We solve this equation for two general types of graphs: circular and daisy, proving, in particular, the inte- grability of the following Landau-Ginzburg superpotentials: A_n(t_1), A_n(t_2), D_n(\tau),E_6(t_7), E_8(t_16). For circular graphs the solutions are intertwiners of the affine Hopf algebra $\tilde(U)_q(A^{(1)}_1)$, while for daisy graphs the solution corresponds to a susy generalization of the Boltzmann weights of the chiral Potts model in the trigonometric regime. A chiral Potts like solution is conjectured for the more tricky case $ D_n(t_2)$. The scattering theory of circular models, for instance $A_n(t_1)$ or $D_n(\tau)$, is Toda like. The physical spectrum of daisy models, as $A_n(t_2), E_6(t_7)$ or $E_8(t_16)$, is given by confined states of radial solitons. The scattering theory of the confined states is again Toda like. Bootstrap factors for the confined solitons are given by fusing the susy chiral Potts S-matrices of the elementary constituents, i.e. the radial solitons of the daisy graph.

8.006923

8.594686

9.393038

8.119244

8.294828

8.516049

8.454583

7.999044

8.488114

9.446268

8.167612

8.007493

8.648139

8.050915

8.163527

7.856353

8.030365

8.036654

7.827954

8.493947

7.692155

hep-th/0102047

Tanmay Vachaspati

A class of kinks in SU(N)\times Z_2

7 pages; included discussion of gauge fields and other improvements

Phys.Rev. D63 (2001) 105010

10.1103/PhysRevD.63.105010

null

hep-th hep-ph

null

In a classical, quartic field theory with $SU(N) \times Z_2$ symmetry, a class of kink solutions can be found analytically for one special choice of parameters. We construct these solutions and determine their energies. In the limit $N\to \infty$, the energy of the kink is equal to that of a kink in a $Z_2$ model with the same mass parameter and quartic coupling (coefficient of ${\rm Tr}(\Phi^4)$). We prove the stability of the solutions to small perturbations but global stability remains unproven. We then argue that the continuum of choices for the boundary conditions leads to a whole space of kink solutions. The kinks in this space occur in classes that are determined by the chosen boundary conditions. Each class is described by the coset space $H/I$ where $H$ is the unbroken symmetry group and $I$ is the symmetry group that leaves the kink solution invariant.

[ { "created": "Fri, 9 Feb 2001 04:39:50 GMT", "version": "v1" }, { "created": "Tue, 13 Feb 2001 06:32:07 GMT", "version": "v2" }, { "created": "Wed, 28 Feb 2001 06:03:13 GMT", "version": "v3" } ]

2009-11-07

[ [ "Vachaspati", "Tanmay", "" ] ]

In a classical, quartic field theory with $SU(N) \times Z_2$ symmetry, a class of kink solutions can be found analytically for one special choice of parameters. We construct these solutions and determine their energies. In the limit $N\to \infty$, the energy of the kink is equal to that of a kink in a $Z_2$ model with the same mass parameter and quartic coupling (coefficient of ${\rm Tr}(\Phi^4)$). We prove the stability of the solutions to small perturbations but global stability remains unproven. We then argue that the continuum of choices for the boundary conditions leads to a whole space of kink solutions. The kinks in this space occur in classes that are determined by the chosen boundary conditions. Each class is described by the coset space $H/I$ where $H$ is the unbroken symmetry group and $I$ is the symmetry group that leaves the kink solution invariant.

7.012015

7.145133

6.852154

6.493361

6.699815

6.686309

7.079663

6.70303

6.733946

7.354398

6.828021

6.483164

6.753855

6.384566

6.236472

6.581747

6.490563

6.387731

6.362586

6.632573

6.3287

hep-th/0507083

Michio Hashimoto

Noncommutativity vs. Transversality in QED in a strong magnetic field

11 pages, 2 figures; references added; based on talk given at The 27th Annual Montreal-Rochester-Syracuse-Toronto Conference on High Energy Physics (MRST 2005), Utica, New York, 16-18 May 2005

Int.J.Mod.Phys. A20 (2005) 6307-6316

10.1142/S0217751X05029332

null

hep-th

null

Quantum electrodynamics (QED) in a strong constant magnetic field is investigated from the viewpoint of its connection with noncommutative QED. It turns out that within the lowest Landau level (LLL) approximation the 1-loop contribution of fermions provides an effective action with the noncommutative U(1)_{NC} gauge symmetry. As a result, the Ward-Takahashi identities connected with the initial U(1) gauge symmetry are broken down in the LLL approximation. On the other hand, it is shown that the sum over the infinite number of the higher Landau levels (HLL's) is relevant despite the fact that each contribution of the HLL is suppressed. Owing to this nondecoupling phenomenon the transversality is restored in the whole effective action. The kinematic region where the LLL contribution is dominant is also discussed.

[ { "created": "Thu, 7 Jul 2005 22:24:49 GMT", "version": "v1" }, { "created": "Mon, 18 Jul 2005 21:58:55 GMT", "version": "v2" } ]

2009-11-11

[ [ "Hashimoto", "Michio", "" ] ]

Quantum electrodynamics (QED) in a strong constant magnetic field is investigated from the viewpoint of its connection with noncommutative QED. It turns out that within the lowest Landau level (LLL) approximation the 1-loop contribution of fermions provides an effective action with the noncommutative U(1)_{NC} gauge symmetry. As a result, the Ward-Takahashi identities connected with the initial U(1) gauge symmetry are broken down in the LLL approximation. On the other hand, it is shown that the sum over the infinite number of the higher Landau levels (HLL's) is relevant despite the fact that each contribution of the HLL is suppressed. Owing to this nondecoupling phenomenon the transversality is restored in the whole effective action. The kinematic region where the LLL contribution is dominant is also discussed.

6.449868

6.619788

6.413004

5.953833

6.22216

6.250465

6.577192

6.264994

5.870892

6.449802

6.315945

6.376645

6.231587

6.010796

6.116997

6.160328

6.243669

6.169177

6.253864

6.321537

6.170164

hep-th/9806156

Igor Shovkovy

Igor A. Shovkovy

One-loop finite temperature effective action of QED in the worldline approach

REVTeX, 5 pages. Minor corrections. Final version published in Phys. Lett. B

Phys.Lett. B441 (1998) 313-318

10.1016/S0370-2693(98)01202-7

UCTP108-98

hep-th hep-ph math-ph math.MP

null

The one-loop finite temperature effective potential of QED in an external electromagnetic field is obtained using the worldline method. The general structure of the temperature dependent part of the effective action in an arbitrary external inhomogeneous magnetic field is established. The two-derivative effective action of spinor and scalar QED in a static magnetic background at $T\neq 0$ is derived.

[ { "created": "Thu, 18 Jun 1998 20:17:55 GMT", "version": "v1" }, { "created": "Fri, 17 Jul 1998 03:02:00 GMT", "version": "v2" }, { "created": "Mon, 4 Jan 1999 21:16:57 GMT", "version": "v3" } ]

2009-10-31

[ [ "Shovkovy", "Igor A.", "" ] ]

The one-loop finite temperature effective potential of QED in an external electromagnetic field is obtained using the worldline method. The general structure of the temperature dependent part of the effective action in an arbitrary external inhomogeneous magnetic field is established. The two-derivative effective action of spinor and scalar QED in a static magnetic background at $T\neq 0$ is derived.

7.993821

5.895525

6.734149

6.102099

5.772898

6.044867

6.684856

6.386662

6.028547

7.833872

6.250763

6.599936

6.686183

6.565637

6.636896

6.600872

6.530924

6.568516

6.367315

6.966094

6.455502

1110.2320

Blaise Gout\'eraux

Blaise Gout\'eraux, Jelena Smolic, Milena Smolic, Kostas Skenderis and Marika Taylor

Holography for Einstein-Maxwell-dilaton theories from generalized dimensional reduction

v2, Important additions: (1) discussion of the entropy current, (2) postulated zeta/eta bound is generically violated. Some comments and references added, typos corrected. 50 pages

JHEP 1201:089, 2012

10.1007/JHEP01(2012)089

ITFA-2011-15

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We show that a class of Einstein-Maxwell-Dilaton (EMD) theories are related to higher dimensional AdS-Maxwell gravity via a dimensional reduction over compact Einstein spaces combined with continuation in the dimension of the compact space to non-integral values (`generalized dimensional reduction'). This relates (fairly complicated) black hole solutions of EMD theories to simple black hole/brane solutions of AdS-Maxwell gravity and explains their properties. The generalized dimensional reduction is used to infer the holographic dictionary and the hydrodynamic behavior for this class of theories from those of AdS. As a specific example, we analyze the case of a black brane carrying a wave whose universal sector is described by gravity coupled to a Maxwell field and two neutral scalars. At thermal equilibrium and finite chemical potential the two operators dual to the bulk scalar fields acquire expectation values characterizing the breaking of conformal and generalized conformal invariance. We compute holographically the first order transport coefficients (conductivity, shear and bulk viscosity) for this system.

[ { "created": "Tue, 11 Oct 2011 10:13:14 GMT", "version": "v1" }, { "created": "Wed, 1 Feb 2012 09:33:29 GMT", "version": "v2" } ]

2012-02-02

[ [ "Goutéraux", "Blaise", "" ], [ "Smolic", "Jelena", "" ], [ "Smolic", "Milena", "" ], [ "Skenderis", "Kostas", "" ], [ "Taylor", "Marika", "" ] ]

We show that a class of Einstein-Maxwell-Dilaton (EMD) theories are related to higher dimensional AdS-Maxwell gravity via a dimensional reduction over compact Einstein spaces combined with continuation in the dimension of the compact space to non-integral values (`generalized dimensional reduction'). This relates (fairly complicated) black hole solutions of EMD theories to simple black hole/brane solutions of AdS-Maxwell gravity and explains their properties. The generalized dimensional reduction is used to infer the holographic dictionary and the hydrodynamic behavior for this class of theories from those of AdS. As a specific example, we analyze the case of a black brane carrying a wave whose universal sector is described by gravity coupled to a Maxwell field and two neutral scalars. At thermal equilibrium and finite chemical potential the two operators dual to the bulk scalar fields acquire expectation values characterizing the breaking of conformal and generalized conformal invariance. We compute holographically the first order transport coefficients (conductivity, shear and bulk viscosity) for this system.

9.099491

9.202183

10.266245

8.772353

8.775475

8.990043

8.88849

8.898925

8.626204

10.758462

8.891759

8.800382

9.1276

8.670057

8.796657

8.570354

8.738581

8.694102

8.775572

9.116409

8.730419

1809.10536

Koji Hashimoto

Koji Hashimoto, Sotaro Sugishita, Akinori Tanaka, Akio Tomiya

Deep Learning and Holographic QCD

15 pages, 14 figures

Phys. Rev. D 98, 106014 (2018); GitHub: https://github.com/AkinoriTanaka-phys/DL_holographicQCD

10.1103/PhysRevD.98.106014

RIKEN-iTHEMS-Report-18

hep-th hep-lat hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We apply the relation between deep learning (DL) and the AdS/CFT correspondence to a holographic model of QCD. Using a lattice QCD data of the chiral condensate at a finite temperature as our training data, the deep learning procedure holographically determines an emergent bulk metric as neural network weights. The emergent bulk metric is found to have both a black hole horizon and a finite-height IR wall, so shares both the confining and deconfining phases, signaling the cross-over thermal phase transition of QCD. In fact, a quark antiquark potential holographically calculated by the emergent bulk metric turns out to possess both the linear confining part and the Debye screening part, as is often observed in lattice QCD. From this we argue the discrepancy between the chiral symmetry breaking and the quark confinement in the holographic QCD. The DL method is shown to provide a novel data-driven holographic modeling of QCD, and sheds light on the mechanism of emergence of the bulk geometries in the AdS/CFT correspondence.

[ { "created": "Thu, 27 Sep 2018 14:19:54 GMT", "version": "v1" } ]

2020-02-14

[ [ "Hashimoto", "Koji", "" ], [ "Sugishita", "Sotaro", "" ], [ "Tanaka", "Akinori", "" ], [ "Tomiya", "Akio", "" ] ]

We apply the relation between deep learning (DL) and the AdS/CFT correspondence to a holographic model of QCD. Using a lattice QCD data of the chiral condensate at a finite temperature as our training data, the deep learning procedure holographically determines an emergent bulk metric as neural network weights. The emergent bulk metric is found to have both a black hole horizon and a finite-height IR wall, so shares both the confining and deconfining phases, signaling the cross-over thermal phase transition of QCD. In fact, a quark antiquark potential holographically calculated by the emergent bulk metric turns out to possess both the linear confining part and the Debye screening part, as is often observed in lattice QCD. From this we argue the discrepancy between the chiral symmetry breaking and the quark confinement in the holographic QCD. The DL method is shown to provide a novel data-driven holographic modeling of QCD, and sheds light on the mechanism of emergence of the bulk geometries in the AdS/CFT correspondence.

8.351471

7.897161

8.78351

7.964395

8.354481

8.198613

8.643802

8.504502

8.023899

9.385802

8.205153

8.140841

8.234386

7.977285

8.200974

8.144812

8.154762

8.179268

8.170882

8.485624

8.024103

0905.2844

Thomas Mohaupt

Vicente Cortes, Thomas Mohaupt

Special Geometry of Euclidean Supersymmetry III: the local r-map, instantons and black holes

72 pages, 2 figures

JHEP 0907:066,2009

10.1088/1126-6708/2009/07/066

LTH 830

hep-th

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We define and study projective special para-Kahler manifolds and show that they appear as target manifolds when reducing five-dimensional vector multiplets coupled to supergravity with respect to time. The dimensional reductions with respect to time and space are carried out in a uniform way using an epsilon-complex notation. We explain the relation of our formalism to other formalisms of special geometry used in the literature. In the second part of the paper we investigate instanton solutions and their dimensional lifting to black holes. We show that the instanton action, which can be defined after dualising axions into tensor fields, agrees with the ADM mass of the corresponding black hole. The relation between actions via Wick rotation, Hodge dualisation and analytic continuation of axions is discussed.

[ { "created": "Mon, 18 May 2009 09:55:08 GMT", "version": "v1" } ]

2009-09-11

[ [ "Cortes", "Vicente", "" ], [ "Mohaupt", "Thomas", "" ] ]

We define and study projective special para-Kahler manifolds and show that they appear as target manifolds when reducing five-dimensional vector multiplets coupled to supergravity with respect to time. The dimensional reductions with respect to time and space are carried out in a uniform way using an epsilon-complex notation. We explain the relation of our formalism to other formalisms of special geometry used in the literature. In the second part of the paper we investigate instanton solutions and their dimensional lifting to black holes. We show that the instanton action, which can be defined after dualising axions into tensor fields, agrees with the ADM mass of the corresponding black hole. The relation between actions via Wick rotation, Hodge dualisation and analytic continuation of axions is discussed.

12.830193

11.358915

14.615455

11.638255

13.192959

12.426322

11.9603

12.204583

11.141161

15.460183

11.56924

11.336432

12.401114

11.553185

12.27348

12.05471

12.176625

11.482038

11.170388

12.449998

11.634727

hep-th/0212179

Toni Mateos

Jan Brugues, Joaquim Gomis, Toni Mateos, Toni Ramirez

Commutative and noncommutative N=2 SYM in 2+1 from wrapped D6-branes

Factors of N and g_s restored, references and acknowledgements added. 8 pages, 2 figures. Proceedings of the Leuven workshop, September 2002

Class.Quant.Grav. 20 (2003) S441-S448

10.1088/0264-9381/20/12/309

null

hep-th

null

We give the supergravity duals of commutative and noncommutative non-abelian gauge theories with N=2 in 2+1 dimensions. The moduli space on the Coulomb branch of these theories is studied using supergravity.

[ { "created": "Mon, 16 Dec 2002 13:32:32 GMT", "version": "v1" }, { "created": "Fri, 3 Jan 2003 14:25:44 GMT", "version": "v2" } ]

2009-11-07

[ [ "Brugues", "Jan", "" ], [ "Gomis", "Joaquim", "" ], [ "Mateos", "Toni", "" ], [ "Ramirez", "Toni", "" ] ]

We give the supergravity duals of commutative and noncommutative non-abelian gauge theories with N=2 in 2+1 dimensions. The moduli space on the Coulomb branch of these theories is studied using supergravity.

8.40455

6.931012

8.434341

6.643267

6.366816

6.771931

6.216216

6.607082

6.783946

10.095978

6.507967

7.423811

7.943723

6.892738

7.453478

7.67821

7.234528

7.816609

7.177236

7.636011

7.195983

2302.01938

Elliott Gesteau

Large $N$ von Neumann algebras and the renormalization of Newton's constant

33 pages + appendix; minor clarifications and figures added in v2

null

hep-th math-ph math.MP math.OA quant-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

I derive a family of Ryu--Takayanagi formulae that are valid in the large $N$ limit of holographic quantum error-correcting codes, and parameterized by a choice of UV cutoff in the bulk. The bulk entropy terms are matched with a family of von Neumann factors nested inside the large $N$ von Neumann algebra describing the bulk effective field theory. These factors are mapped onto one another by a family of conditional expectations, which are interpreted as a renormalization group flow for the code subspace. Under this flow, I show that the renormalizations of the area term and the bulk entropy term exactly compensate each other. This result provides a concrete realization of the ER=EPR paradigm, as well as an explicit proof of a conjecture due to Susskind and Uglum.

[ { "created": "Fri, 3 Feb 2023 19:00:00 GMT", "version": "v1" }, { "created": "Fri, 28 Jul 2023 01:28:55 GMT", "version": "v2" } ]

2023-07-31

[ [ "Gesteau", "Elliott", "" ] ]

I derive a family of Ryu--Takayanagi formulae that are valid in the large $N$ limit of holographic quantum error-correcting codes, and parameterized by a choice of UV cutoff in the bulk. The bulk entropy terms are matched with a family of von Neumann factors nested inside the large $N$ von Neumann algebra describing the bulk effective field theory. These factors are mapped onto one another by a family of conditional expectations, which are interpreted as a renormalization group flow for the code subspace. Under this flow, I show that the renormalizations of the area term and the bulk entropy term exactly compensate each other. This result provides a concrete realization of the ER=EPR paradigm, as well as an explicit proof of a conjecture due to Susskind and Uglum.

9.19947

8.636456

8.890979

8.033676

8.740097

7.975099

8.275928

8.511789

8.805485

9.068039

7.97499

8.355564

8.8375

8.203487

8.366688

8.598274

8.284491

8.078816

8.174147

8.81718

8.3892

hep-th/9911209

Fidel Schaposnik

A.R.Lugo, E.F.Moreno and F.A.Schaposnik

Monopole Solutions in AdS Space

14 pages, 4 figures, Latex file

Phys.Lett. B473 (2000) 35-42

10.1016/S0370-2693(99)01481-1

La Plata-Th 99/12

hep-th

null

We find monopole solutions for a spontaneously broken SU(2)-Higgs system coupled to gravity in asymptotically anti-de Sitter space. We present new analytic and numerical results discussing,in particular, how the gravitational instability of self-gravitating monopoles depends on the value of the cosmological constant.

[ { "created": "Thu, 25 Nov 1999 17:52:49 GMT", "version": "v1" } ]

2009-10-31

[ [ "Lugo", "A. R.", "" ], [ "Moreno", "E. F.", "" ], [ "Schaposnik", "F. A.", "" ] ]

We find monopole solutions for a spontaneously broken SU(2)-Higgs system coupled to gravity in asymptotically anti-de Sitter space. We present new analytic and numerical results discussing,in particular, how the gravitational instability of self-gravitating monopoles depends on the value of the cosmological constant.

9.126903

7.889608

8.400601

7.73882

7.443878

8.460895

7.646696

7.207788

8.08985

8.853922

7.858119

8.385951

8.744843

8.00102

8.27229

8.433237

8.325799

8.182105

8.568143

8.998192

8.099386

1208.4674

Kai Wunderle

Kai E. Wunderle and Rainer Dick

Coupling of fermionic fields with mass dimensions one to the O'Raifeartaigh model

11 pages, 2 tables

null

hep-th math-ph math.MP

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

The objective of this article is to discuss the coupling of fermionic fields with mass dimension one to the O'Raifeartaigh model to study supersymmetry breaking for fermionic fields with mass dimension one. We find that the coupled model has two distinct solutions. The first solution represents a local minimum of the superpotential which spontaneously breaks supersymmetry in perfect analogy to the O'Raifeartaigh model. The second solution is more intriguing as it corresponds to a global minimum of the superpotential. In this case the coupling to the fermionic sector restores supersymmetry. However, this is achieved at the cost of breaking Lorentz invariance. Finally, the mass matrices for the multiplets of the coupled model are presented. It turns out that it contains two bosonic triplets and one fermionic doublet which are mass multiplets. In addition it contains a massless fermionic doublet as well as one fermionic triplet which is not a mass multiplet but rather an interaction multiplet that contains component fields of different mass dimension. These results show that the presented model for fermionic fields with mass dimension one is a viable candidate for supersymmetric dark matter that could be accessible to experiments in the near future.

[ { "created": "Thu, 23 Aug 2012 05:49:12 GMT", "version": "v1" } ]

2012-08-24

[ [ "Wunderle", "Kai E.", "" ], [ "Dick", "Rainer", "" ] ]

The objective of this article is to discuss the coupling of fermionic fields with mass dimension one to the O'Raifeartaigh model to study supersymmetry breaking for fermionic fields with mass dimension one. We find that the coupled model has two distinct solutions. The first solution represents a local minimum of the superpotential which spontaneously breaks supersymmetry in perfect analogy to the O'Raifeartaigh model. The second solution is more intriguing as it corresponds to a global minimum of the superpotential. In this case the coupling to the fermionic sector restores supersymmetry. However, this is achieved at the cost of breaking Lorentz invariance. Finally, the mass matrices for the multiplets of the coupled model are presented. It turns out that it contains two bosonic triplets and one fermionic doublet which are mass multiplets. In addition it contains a massless fermionic doublet as well as one fermionic triplet which is not a mass multiplet but rather an interaction multiplet that contains component fields of different mass dimension. These results show that the presented model for fermionic fields with mass dimension one is a viable candidate for supersymmetric dark matter that could be accessible to experiments in the near future.

6.290354

6.326805

5.965133

5.938165

6.049859

6.780831

6.219586

5.92003

6.21562

6.132077

6.133774

6.10087

5.968552

5.957455

6.074428

6.028639

6.056857

6.006809

6.083571

6.125182

5.925347

hep-th/0206178

Alexei Nurmagambetov

S. Fedoruk, V.G. Zima

Twistorial superparticle with tensorial central charges

11 pages, LATEX, presented at the Int. Conf. QEDSP 2001, dedicated to the 90th anniversary of A.I.Akhiezer, Oct. 30 - Nov. 3, 2001

null

hep-th

null

A twistorial formulation of the N=1 D=4 superparticle with tensorial central charges describing massive and massless cases in uniform manner is given. The twistors resolve energy-momentum vector whereas the tensorial central charges are written in term of spinor Lorentz harmonics. The model makes possible to describe states preserving all allowed fractions of target-space supersymmetry. The full analysis of the number of conserved supersymmetries in models with N=1 D=4 superalgebra with tensorial central charges has been carried out.

[ { "created": "Wed, 19 Jun 2002 13:21:58 GMT", "version": "v1" } ]

2007-05-23

[ [ "Fedoruk", "S.", "" ], [ "Zima", "V. G.", "" ] ]

A twistorial formulation of the N=1 D=4 superparticle with tensorial central charges describing massive and massless cases in uniform manner is given. The twistors resolve energy-momentum vector whereas the tensorial central charges are written in term of spinor Lorentz harmonics. The model makes possible to describe states preserving all allowed fractions of target-space supersymmetry. The full analysis of the number of conserved supersymmetries in models with N=1 D=4 superalgebra with tensorial central charges has been carried out.

14.109424

11.212341

16.638487

11.252412

10.440434

11.1034

12.532189

10.10383

11.147748

15.336014

11.517691

11.235518

12.971513

12.125489

11.958351

12.179155

12.060658

11.717712

11.993768

13.168301

12.202464

hep-th/0209065

Tapobrata Sarkar

Zafar Ahmed, Tapobrata Sarkar

Some Aspects of Scattering in (Non) Commutative Gauge Theories

27+1 pages, LaTeX, 5 figures. Typos corrected, reference added

null

hep-th hep-ph

null

We study almost-forward scattering in the context of usual and non-commutative QED. We study the semi-classical behaviour of particles undergoing this scattering process in the two theories, and show that the shock wave picture, effective in QED fails for NCQED. Further, we show that whereas in QED, there are no leading logarithmic contributions to the amplitude upto sixth order, uncancelled logarithms appear in NCQED.

[ { "created": "Sat, 7 Sep 2002 16:12:34 GMT", "version": "v1" }, { "created": "Wed, 4 Dec 2002 15:06:43 GMT", "version": "v2" } ]

2007-05-23

[ [ "Ahmed", "Zafar", "" ], [ "Sarkar", "Tapobrata", "" ] ]

We study almost-forward scattering in the context of usual and non-commutative QED. We study the semi-classical behaviour of particles undergoing this scattering process in the two theories, and show that the shock wave picture, effective in QED fails for NCQED. Further, we show that whereas in QED, there are no leading logarithmic contributions to the amplitude upto sixth order, uncancelled logarithms appear in NCQED.

15.13357

13.3504

12.022844

12.362872

12.97056

12.442083

13.260631

12.184896

12.052667

12.871058

12.423391

12.210544

12.544718

12.344005

12.568905

12.518991

12.464221

12.693848

12.509473

12.741076

12.828719

hep-th/0004142

Iosif L. Bena

Iosif Bena

The M-theory dual of a 3 dimensional theory with reduced supersymmetry

17 pages, REVTEX, extra remarks on domain walls and instantons, misprint corrected in (45), references and acknowledgement added

Phys.Rev.D62:126006,2000

10.1103/PhysRevD.62.126006

null

hep-th

null

In a recent paper, Polchinski and Strassler found a string theory dual of a gauge theory with reduced supersymmetry. Motivated by their approach, we perturb the $\N=8$ theory living on a set of N M2 branes to $\N=2$, by adding fermion mass terms. We obtain M-theory duals corresponding to M2 branes polarized into M5 branes, in $AdS_4 \times S_7$. In the course of doing this we come across an interesting feature of the M5 brane action, which we comment on. Depending on the fermion masses we obtain discrete or continuous vacua for our theories. We also obtain dual descriptions for domain walls, instantons and condensates.

[ { "created": "Wed, 19 Apr 2000 22:53:51 GMT", "version": "v1" }, { "created": "Fri, 26 May 2000 21:45:12 GMT", "version": "v2" } ]

2011-09-29

[ [ "Bena", "Iosif", "" ] ]

In a recent paper, Polchinski and Strassler found a string theory dual of a gauge theory with reduced supersymmetry. Motivated by their approach, we perturb the $\N=8$ theory living on a set of N M2 branes to $\N=2$, by adding fermion mass terms. We obtain M-theory duals corresponding to M2 branes polarized into M5 branes, in $AdS_4 \times S_7$. In the course of doing this we come across an interesting feature of the M5 brane action, which we comment on. Depending on the fermion masses we obtain discrete or continuous vacua for our theories. We also obtain dual descriptions for domain walls, instantons and condensates.

8.554188

7.531547

9.457048

7.802469

8.451571

8.119488

7.376301

7.30818

7.650289

9.93387

7.618177

8.122053

8.481325

8.049101

7.988734

8.014361

7.993869

7.892378

7.962443

8.871593

7.988643

hep-th/0612060

Robert Marnelius

Par Arvidsson, Robert Marnelius

Conformal theories including conformal gravity as gauge theories on the hypercone

70 pages

null

hep-th

null

Conformal theories in a d dimensional spacetime may be expressed as manifestly conformal theories in a d+2 dimensional conformal space as first proposed by Dirac. The reduction to d dimensions goes via the d+1 dimensional hypercone in the conformal space. Here we give a rather extensive expose of such theories. We review and extend the theory of spinning conformal particles. We give a precise and geometrical formulation of manifestly conformal fields for which we give a consistent action principle. The requirement of invariance under special gauge transformations off the hypercone plays a fundamental role here. Maxwell's theory and linear conformal gravity are derived in the conformal space and are treated in detail. Finally, we propose a consistent coordinate invariant action principle in the conformal space and give an action that should correspond to conformal gravity.

[ { "created": "Thu, 7 Dec 2006 16:39:42 GMT", "version": "v1" } ]

2007-05-23

[ [ "Arvidsson", "Par", "" ], [ "Marnelius", "Robert", "" ] ]

Conformal theories in a d dimensional spacetime may be expressed as manifestly conformal theories in a d+2 dimensional conformal space as first proposed by Dirac. The reduction to d dimensions goes via the d+1 dimensional hypercone in the conformal space. Here we give a rather extensive expose of such theories. We review and extend the theory of spinning conformal particles. We give a precise and geometrical formulation of manifestly conformal fields for which we give a consistent action principle. The requirement of invariance under special gauge transformations off the hypercone plays a fundamental role here. Maxwell's theory and linear conformal gravity are derived in the conformal space and are treated in detail. Finally, we propose a consistent coordinate invariant action principle in the conformal space and give an action that should correspond to conformal gravity.

11.683625

11.526064

11.88287

11.065155

11.698331

11.241574

10.98509

11.754848

10.778293

12.868793

11.454033

10.76102

11.329494

10.754174

10.677012

10.816555

10.732327

10.714931

11.117015

11.511904

10.789058

1202.1278

Olaf Lechtenfeld

Athanasios Chatzistavrakidis, Olaf Lechtenfeld, Alexander D. Popov

Nearly K\"ahler heterotic compactifications with fermion condensates

1+17 pages, 1 figure; v2: remark and two references added, published version

null

10.1007/JHEP04(2012)114

null

hep-th math-ph math.MP

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We revisit AdS_4 heterotic compactifications on nearly K\"ahler manifolds in the presence of H-flux and certain fermion condensates. Unlike previous studies, we do not assume the vanishing of the supersymmetry variations. Instead we determine the full equations of motion originating from the ten-dimensional action, and subsequently we provide explicit solutions to them on nearly K\"ahler manifolds at first order in alpha'. The Bianchi identity is also taken into account in order to guarantee the absence of all anomalies. In the presence of H-flux, which is identified with the torsion of the internal space, as well as of fermion condensates in the gaugino and dilatino sectors, new solutions are determined. These solutions provide a full classification of consistent backgrounds of heterotic supergravity under our assumptions. All the new solutions are non-supersymmetric, while previously known supersymmetric ones are recovered too. Our results indicate that fully consistent (supersymmetric or not) heterotic vacua on nearly K\"ahler manifolds are scarce, even on AdS_4, and they can be completely classified.

[ { "created": "Mon, 6 Feb 2012 21:00:00 GMT", "version": "v1" }, { "created": "Wed, 4 Apr 2012 10:03:38 GMT", "version": "v2" } ]

2015-06-04

[ [ "Chatzistavrakidis", "Athanasios", "" ], [ "Lechtenfeld", "Olaf", "" ], [ "Popov", "Alexander D.", "" ] ]

We revisit AdS_4 heterotic compactifications on nearly K\"ahler manifolds in the presence of H-flux and certain fermion condensates. Unlike previous studies, we do not assume the vanishing of the supersymmetry variations. Instead we determine the full equations of motion originating from the ten-dimensional action, and subsequently we provide explicit solutions to them on nearly K\"ahler manifolds at first order in alpha'. The Bianchi identity is also taken into account in order to guarantee the absence of all anomalies. In the presence of H-flux, which is identified with the torsion of the internal space, as well as of fermion condensates in the gaugino and dilatino sectors, new solutions are determined. These solutions provide a full classification of consistent backgrounds of heterotic supergravity under our assumptions. All the new solutions are non-supersymmetric, while previously known supersymmetric ones are recovered too. Our results indicate that fully consistent (supersymmetric or not) heterotic vacua on nearly K\"ahler manifolds are scarce, even on AdS_4, and they can be completely classified.

6.344655

6.428631

7.337126

6.457996

6.553164

6.73061

6.349208

6.287201

6.27367

7.364563

6.357813

6.478564

6.632498

6.263539

6.389206

6.328896

6.375554

6.350149

6.242877

6.533073

6.222986

1010.1106

Florian Bauer

The cosmological constant and the relaxed universe

6 pages, no figures, based on a talk presented at PASCOS 2010

J.Phys.Conf.Ser.259:012083,2010

10.1088/1742-6596/259/1/012083

ICCUB-10-060

hep-th astro-ph.CO gr-qc hep-ph

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

We study the role of the cosmological constant (CC) as a component of dark energy (DE). It is argued that the cosmological term is in general unavoidable and it should not be ignored even when dynamical DE sources are considered. From the theoretical point of view quantum zero-point energy and phase transitions suggest a CC of large magnitude in contrast to its tiny observed value. Simply relieving this disaccord with a counterterm requires extreme fine-tuning which is referred to as the old CC problem. To avoid it, we discuss some recent approaches for neutralising a large CC dynamically without adding a fine-tuned counterterm. This can be realised by an effective DE component which relaxes the cosmic expansion by counteracting the effect of the large CC. Alternatively, a CC filter is constructed by modifying gravity to make it insensitive to vacuum energy.

[ { "created": "Wed, 6 Oct 2010 09:50:44 GMT", "version": "v1" } ]

2011-01-13

[ [ "Bauer", "Florian", "" ] ]

We study the role of the cosmological constant (CC) as a component of dark energy (DE). It is argued that the cosmological term is in general unavoidable and it should not be ignored even when dynamical DE sources are considered. From the theoretical point of view quantum zero-point energy and phase transitions suggest a CC of large magnitude in contrast to its tiny observed value. Simply relieving this disaccord with a counterterm requires extreme fine-tuning which is referred to as the old CC problem. To avoid it, we discuss some recent approaches for neutralising a large CC dynamically without adding a fine-tuned counterterm. This can be realised by an effective DE component which relaxes the cosmic expansion by counteracting the effect of the large CC. Alternatively, a CC filter is constructed by modifying gravity to make it insensitive to vacuum energy.

12.108287

12.462078

11.601205

11.655355

12.204117

12.608624

13.338742

12.990652

11.849685

12.476191

11.982758

12.990097

11.709026

12.063868

12.256756

12.381495

12.136949

12.201021

12.040084

12.029037

11.747937

1310.6566

Matej Pavsic

Matej Pav\v{s}i\v{c}

Geometric Spinors, Generalized Dirac Equation and Mirror Particles

11 pages; Presented at 3rd International Conference on Theoretical Physics, Moscow, Russia, June 24 - 28, 2013

null

hep-th gr-qc math-ph math.MP

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

It is shown that since the geometric spinors are elements of Clifford algebras, they must have the same transformation properties as any other Clifford number. In general, a Clifford number $\Phi$ transforms into a new Clifford number $\Phi'$ according to $\Phi \to \Phi ' = {\rm{R}}\,\Phi \,{\rm{S}}$, i.e., by the multiplication from the left and from the right by two Clifford numbers ${\rm R}$ and ${\rm S}$. We study the case of $Cl(1,3)$, which is the Clifford algebra of the Minkowski spacetime. Depending on choice of ${\rm R}$ and ${\rm S}$, there are various possibilities, including the transformations of vectors into 3-vectors, and the transformations of the spinors of one minimal left ideal of $Cl(1,3)$ into another minimal left ideal. This, among others, has implications for understanding the observed non-conservation of parity.

[ { "created": "Thu, 24 Oct 2013 11:11:28 GMT", "version": "v1" } ]

2013-10-25

[ [ "Pavšič", "Matej", "" ] ]

It is shown that since the geometric spinors are elements of Clifford algebras, they must have the same transformation properties as any other Clifford number. In general, a Clifford number $\Phi$ transforms into a new Clifford number $\Phi'$ according to $\Phi \to \Phi ' = {\rm{R}}\,\Phi \,{\rm{S}}$, i.e., by the multiplication from the left and from the right by two Clifford numbers ${\rm R}$ and ${\rm S}$. We study the case of $Cl(1,3)$, which is the Clifford algebra of the Minkowski spacetime. Depending on choice of ${\rm R}$ and ${\rm S}$, there are various possibilities, including the transformations of vectors into 3-vectors, and the transformations of the spinors of one minimal left ideal of $Cl(1,3)$ into another minimal left ideal. This, among others, has implications for understanding the observed non-conservation of parity.

5.360338

5.634801

5.629544

5.411367

5.668994

5.766033

5.571836

5.28111

5.41166

5.555704

5.444967

5.417477

5.524268

5.276621

5.336681

5.334918

5.314533

5.239616

5.339663

5.406129

5.318112