LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

2404.00698

Hajime Otsuka

Hajime Otsuka and Ryo Yokokura

Stringy constraints on primordial electromagnetic fields in axion inflation

29 pages, v2: published version

null

10.1007/JHEP07(2024)055

KYUSHU-HET-287

hep-th astro-ph.CO hep-ph

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

We study primordial electromagnetic fields in effective actions of string theory. In contrast to a conventional scenario of producing primordial electromagnetic fields induced by the axion inflation, we deal with the Dirac-Born-Infeld action as a non-linear generation of Maxwell theory. It turns out that the intensity of generated electromagnetic fields is bounded from above by the string scale which can also be rewritten in terms of supersymmetry breaking scale in the context of type IIB Large Volume Scenario. The instability parameter $\xi$ is constrained by the tadpole cancellation condition of D3-branes and a realization of hierarchy between the string scale and the Hubble scale of inflation. Hence, the magnetogenesis can be realized in the limited corner of the string landscape due to the ${\cal O}(1)$ value of the coefficient of Chern-Simons coupling.

[ { "created": "Sun, 31 Mar 2024 14:30:52 GMT", "version": "v1" }, { "created": "Sat, 20 Jul 2024 10:27:02 GMT", "version": "v2" } ]

2024-07-23

[ [ "Otsuka", "Hajime", "" ], [ "Yokokura", "Ryo", "" ] ]

We study primordial electromagnetic fields in effective actions of string theory. In contrast to a conventional scenario of producing primordial electromagnetic fields induced by the axion inflation, we deal with the Dirac-Born-Infeld action as a non-linear generation of Maxwell theory. It turns out that the intensity of generated electromagnetic fields is bounded from above by the string scale which can also be rewritten in terms of supersymmetry breaking scale in the context of type IIB Large Volume Scenario. The instability parameter $\xi$ is constrained by the tadpole cancellation condition of D3-branes and a realization of hierarchy between the string scale and the Hubble scale of inflation. Hence, the magnetogenesis can be realized in the limited corner of the string landscape due to the ${\cal O}(1)$ value of the coefficient of Chern-Simons coupling.

10.653796

10.088078

10.743949

9.97711

10.24157

10.712566

9.703313

9.717005

9.693564

11.653441

10.483486

10.69933

10.61816

10.097263

10.173478

10.184537

10.54308

10.474402

10.560759

10.715203

10.189473

1902.02872

Luis B Castro

Elvis J. Aquino Curi and Luis B. Castro and Antonio S. de Castro

Proper treatment of scalar and vector exponential potentials in the Klein-Gordon equation: Scattering and bound states

6 pages

Eur.Phys.J.Plus 134 (2019) no.6, 248

10.1140/epjp/i2019-12571-8

null

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

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

We point out a misleading treatment in the literature regarding to bound-state solutions for the $s$-wave Klein-Gordon equation with exponential scalar and vector potentials. Following the appropriate procedure for an arbitrary mixing of scalar and vector couplings, we generalize earlier works and present the correct solution to bound states and additionally we address the issue of scattering states. Moreover, we present a new effect related to the polarization of the charge density in the presence of weak short-range exponential scalar and vector potentials.

[ { "created": "Thu, 7 Feb 2019 22:38:49 GMT", "version": "v1" } ]

2019-07-25

[ [ "Curi", "Elvis J. Aquino", "" ], [ "Castro", "Luis B.", "" ], [ "de Castro", "Antonio S.", "" ] ]

We point out a misleading treatment in the literature regarding to bound-state solutions for the $s$-wave Klein-Gordon equation with exponential scalar and vector potentials. Following the appropriate procedure for an arbitrary mixing of scalar and vector couplings, we generalize earlier works and present the correct solution to bound states and additionally we address the issue of scattering states. Moreover, we present a new effect related to the polarization of the charge density in the presence of weak short-range exponential scalar and vector potentials.

15.563971

16.304909

13.680668

13.786513

14.198772

12.95428

13.448841

13.687053

13.753801

14.76091

13.52493

14.973756

14.045051

13.820043

14.084368

13.978242

14.216222

14.766472

14.118617

13.776393

13.770131

hep-th/0407191

Roberto Casadio

Roberto Casadio (University of Bologna), Cristiano Germani (DAMTP, University of Cambridge)

Gravitational collapse and black hole evolution: do holographic black holes eventually "anti-evaporate"?

18 pages in RevTeX4 style, 11 eps figures included. Discussion on the contribution of dissipation and clarifications added, version accepted for publication in Prog. Theor. Phys. Vol. 114, No. 1

Prog.Theor.Phys. 114 (2005) 23-56

10.1143/PTP.114.23

DAMTP-2004-115

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

null

We study the gravitational collapse of compact objects in the Brane-World. We begin by arguing that the regularity of the five-dimensional geodesics does not allow the energy-momentum tensor of matter on the brane to have (step-like) discontinuities, which are instead admitted in the four-dimensional General Relativistic case, and compact sources must therefore have an atmosphere. Under the simplifying assumption that matter is a spherically symmetric cloud of dust without dissipation, we can find the conditions for which the collapsing star generically ``evaporates'' and approaches the Hawking behavior as the (apparent) horizon is being formed. Subsequently, the apparent horizon evolves into the atmosphere and the back-reaction on the brane metric reduces the evaporation, which continues until the effective energy of the star vanishes. This occurs at a finite radius, and the star afterwards re-expands and ``anti-evaporates''. We clarify that the Israel junction conditions across the brane (holographically related to the matter trace anomaly) and the projection of the Weyl tensor on the brane (holographically interpreted as the quantum back-reaction on the brane metric) contribute to the total energy as, respectively, an ``anti-evaporation'' and an ``evaporation'' term. Concluding, we comment on the possible effects of dissipation and obtain a new stringent bound for the brane tension.

[ { "created": "Wed, 21 Jul 2004 16:20:55 GMT", "version": "v1" }, { "created": "Sun, 26 Dec 2004 15:33:34 GMT", "version": "v2" }, { "created": "Mon, 24 Jan 2005 16:38:35 GMT", "version": "v3" }, { "created": "Fri, 20 May 2005 03:11:16 GMT", "version": "v4" } ]

2009-11-10

[ [ "Casadio", "Roberto", "", "University of Bologna" ], [ "Germani", "Cristiano", "", "DAMTP,\n University of Cambridge" ] ]

We study the gravitational collapse of compact objects in the Brane-World. We begin by arguing that the regularity of the five-dimensional geodesics does not allow the energy-momentum tensor of matter on the brane to have (step-like) discontinuities, which are instead admitted in the four-dimensional General Relativistic case, and compact sources must therefore have an atmosphere. Under the simplifying assumption that matter is a spherically symmetric cloud of dust without dissipation, we can find the conditions for which the collapsing star generically ``evaporates'' and approaches the Hawking behavior as the (apparent) horizon is being formed. Subsequently, the apparent horizon evolves into the atmosphere and the back-reaction on the brane metric reduces the evaporation, which continues until the effective energy of the star vanishes. This occurs at a finite radius, and the star afterwards re-expands and ``anti-evaporates''. We clarify that the Israel junction conditions across the brane (holographically related to the matter trace anomaly) and the projection of the Weyl tensor on the brane (holographically interpreted as the quantum back-reaction on the brane metric) contribute to the total energy as, respectively, an ``anti-evaporation'' and an ``evaporation'' term. Concluding, we comment on the possible effects of dissipation and obtain a new stringent bound for the brane tension.

10.558422

9.608067

10.733715

9.434333

11.359238

11.274199

11.290401

9.706895

10.031368

11.414855

9.778457

10.107158

10.510115

10.106035

10.26494

10.352192

10.305055

9.888185

10.277308

10.63726

10.191726

1801.05027

Tanmoy Paul

Tanmoy Paul and Soumitra SenGupta

Radion tunneling in modified theories of gravity

Title is slightly modified, boundary terms on the branes are added, condition for negligible backreaction is added, some references are added. The present article is recently accepted in Eur.Phys.J.C. arXiv admin note: text overlap with arXiv:1701.01571

null

10.1140/epjc/s10052-018-5824-y

null

hep-th

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

We consider a five dimensional warped spacetime where the bulk geometry is governed by higher curvature $F(R)$ gravity. In this model, we determine the modulus potential originating from the scalar degree of freedom of higher curvature gravity. In the presence of this potential, we investigate the possibility of modulus (radion) tunneling leading to an instability in the brane configuration. Our results reveal that the parametric regions where the tunneling probability is highly suppressed, corresponds to the parametric values required to resolve the gauge hierarchy problem.

[ { "created": "Fri, 12 Jan 2018 05:25:27 GMT", "version": "v1" }, { "created": "Fri, 20 Apr 2018 04:14:23 GMT", "version": "v2" } ]

2018-05-23

[ [ "Paul", "Tanmoy", "" ], [ "SenGupta", "Soumitra", "" ] ]

We consider a five dimensional warped spacetime where the bulk geometry is governed by higher curvature $F(R)$ gravity. In this model, we determine the modulus potential originating from the scalar degree of freedom of higher curvature gravity. In the presence of this potential, we investigate the possibility of modulus (radion) tunneling leading to an instability in the brane configuration. Our results reveal that the parametric regions where the tunneling probability is highly suppressed, corresponds to the parametric values required to resolve the gauge hierarchy problem.

9.88993

7.924129

8.466092

7.353822

8.174239

8.024919

7.790437

8.347723

7.348104

9.416723

8.702692

9.035088

8.582283

8.74325

8.442803

8.660752

8.653945

9.131251

8.501569

8.309464

9.065702

2110.13768

Sunghyuk Park

Tobias Ekholm, Angus Gruen, Sergei Gukov, Piotr Kucharski, Sunghyuk Park, Marko Sto\v{s}i\'c, Piotr Su{\l}kowski

Branches, quivers, and ideals for knot complements

99 pages, 13 figures

J. Geom. Phys. 177 (2022), 104520

10.1016/j.geomphys.2022.104520

null

hep-th math.GT math.QA math.SG

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

We generalize the $F_K$ invariant, i.e. $\widehat{Z}$ for the complement of a knot $K$ in the 3-sphere, the knots-quivers correspondence, and $A$-polynomials of knots, and find several interconnections between them. We associate an $F_K$ invariant to any branch of the $A$-polynomial of $K$ and we work out explicit expressions for several simple knots. We show that these $F_K$ invariants can be written in the form of a quiver generating series, in analogy with the knots-quivers correspondence. We discuss various methods to obtain such quiver representations, among others using $R$-matrices. We generalize the quantum $a$-deformed $A$-polynomial to an ideal that contains the recursion relation in the group rank, i.e. in the parameter $a$, and describe its classical limit in terms of the Coulomb branch of a 3d-5d theory. We also provide $t$-deformed versions. Furthermore, we study how the quiver formulation for closed 3-manifolds obtained by surgery leads to the superpotential of 3d $\mathcal{N}=2$ theory $T[M_3]$ and to the data of the associated modular tensor category $\text{MTC} [M_3]$.

[ { "created": "Tue, 26 Oct 2021 15:21:02 GMT", "version": "v1" } ]

2022-04-21

[ [ "Ekholm", "Tobias", "" ], [ "Gruen", "Angus", "" ], [ "Gukov", "Sergei", "" ], [ "Kucharski", "Piotr", "" ], [ "Park", "Sunghyuk", "" ], [ "Stošić", "Marko", "" ], [ "Sułkowski", "Piotr", "" ] ]

We generalize the $F_K$ invariant, i.e. $\widehat{Z}$ for the complement of a knot $K$ in the 3-sphere, the knots-quivers correspondence, and $A$-polynomials of knots, and find several interconnections between them. We associate an $F_K$ invariant to any branch of the $A$-polynomial of $K$ and we work out explicit expressions for several simple knots. We show that these $F_K$ invariants can be written in the form of a quiver generating series, in analogy with the knots-quivers correspondence. We discuss various methods to obtain such quiver representations, among others using $R$-matrices. We generalize the quantum $a$-deformed $A$-polynomial to an ideal that contains the recursion relation in the group rank, i.e. in the parameter $a$, and describe its classical limit in terms of the Coulomb branch of a 3d-5d theory. We also provide $t$-deformed versions. Furthermore, we study how the quiver formulation for closed 3-manifolds obtained by surgery leads to the superpotential of 3d $\mathcal{N}=2$ theory $T[M_3]$ and to the data of the associated modular tensor category $\text{MTC} [M_3]$.

8.291549

8.674367

9.835538

8.586343

8.362325

8.861985

8.712377

8.502107

8.372406

10.763214

8.394086

8.387227

9.276916

8.384959

8.178748

8.367258

8.273533

8.362374

7.995525

8.992093

8.110771

1504.05946

Jos\'e Manuel Izquierdo

J.J. Fernandez, J.M. Izquierdo and M.A. del Olmo

Contractions from $osp(1|32) \oplus osp(1|32)$ to the M-theory superalgebra extended by additional fermionic generators

null

10.1016/j.nuclphysb.2015.05.018

null

hep-th math-ph math.MP

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

We study here the generalized Weimar-Woods contractions of the superalgebra $osp(1|32) \oplus osp(1|32)$ in order to obtain a suitable algebra that could describe the gauge group of $D=11$ supergravity. The contracted superalgebras are assumed to be given in terms of fermionic extensions of the M-theory superalgebra. We show that the only superalgebra of this type obtained by contraction is the only one for which the three-form of $D=11$ supergravity cannot be trivialized. Therefore, $D=11$ supergravity cannot be connected in this way with a contraction of $osp(1|32) \oplus osp(1|32)$.

[ { "created": "Wed, 22 Apr 2015 10:26:20 GMT", "version": "v1" } ]

2019-05-01

[ [ "Fernandez", "J. J.", "" ], [ "Izquierdo", "J. M.", "" ], [ "del Olmo", "M. A.", "" ] ]

We study here the generalized Weimar-Woods contractions of the superalgebra $osp(1|32) \oplus osp(1|32)$ in order to obtain a suitable algebra that could describe the gauge group of $D=11$ supergravity. The contracted superalgebras are assumed to be given in terms of fermionic extensions of the M-theory superalgebra. We show that the only superalgebra of this type obtained by contraction is the only one for which the three-form of $D=11$ supergravity cannot be trivialized. Therefore, $D=11$ supergravity cannot be connected in this way with a contraction of $osp(1|32) \oplus osp(1|32)$.

6.532515

6.202573

7.099001

5.604637

5.731737

6.075212

5.508437

5.724335

5.662145

7.559201

5.911183

6.177532

6.399083

5.86605

6.046424

6.016967

6.07721

5.901106

5.933872

6.040912

6.128115

hep-th/0203127

A. Hatzinikitas

Ioannis Smyrnakis

Boundary States, Extended Symmetry Algebra and Module Structure for certain Rational Torus Models

12 pages

J.Math.Phys.43:6085-6095,2002

10.1063/1.1517168

null

hep-th

null

The massless bosonic field compactified on the circle of rational $R^2$ is reexamined in the presense of boundaries. A particular class of models corresponding to $R^2=\frac{1}{2k}$ is distinguished by demanding the existence of a consistent set of Newmann boundary states. The boundary states are constructed explicitly for these models and the fusion rules are derived from them. These are the ones prescribed by the Verlinde formula from the S-matrix of the theory. In addition, the extended symmetry algebra of these theories is constructed which is responsible for the rationality of these theories. Finally, the chiral space of these models is shown to split into a direct sum of irreducible modules of the extended symmetry algebra.

[ { "created": "Thu, 14 Mar 2002 13:28:09 GMT", "version": "v1" } ]

2011-07-19

[ [ "Smyrnakis", "Ioannis", "" ] ]

The massless bosonic field compactified on the circle of rational $R^2$ is reexamined in the presense of boundaries. A particular class of models corresponding to $R^2=\frac{1}{2k}$ is distinguished by demanding the existence of a consistent set of Newmann boundary states. The boundary states are constructed explicitly for these models and the fusion rules are derived from them. These are the ones prescribed by the Verlinde formula from the S-matrix of the theory. In addition, the extended symmetry algebra of these theories is constructed which is responsible for the rationality of these theories. Finally, the chiral space of these models is shown to split into a direct sum of irreducible modules of the extended symmetry algebra.

9.577712

10.459001

9.68683

9.248345

10.719649

10.092831

10.29099

9.665693

9.47862

11.396915

9.889022

9.964653

9.908785

9.809649

9.607421

9.308455

9.607865

9.745198

9.954108

10.014302

9.554267

hep-th/0301093

Rafael de Lima Rodrigues

R. de Lima Rodrigues and A. N. Vaidya

Dirac Oscillator via R-Deformed Heisenberg Algebra

Revtex, 5 pages. To appear into the Proceedings of the XXIII Brazilian National Meeting on Particles and Fields (October/2002), site www.sbf1.if.usp.br/eventos/enfpc/xxiii. Preprint CBPF-NF-030/02, site www.cbpf.br

null

Preprint CBPF-NF-030/02

hep-th

null

The complete energy spectrum for the Dirac oscillator via R-deformed Heisenberg algebra is investigated.

[ { "created": "Tue, 14 Jan 2003 20:53:40 GMT", "version": "v1" }, { "created": "Fri, 24 Jan 2003 18:21:26 GMT", "version": "v2" } ]

2007-05-23

[ [ "Rodrigues", "R. de Lima", "" ], [ "Vaidya", "A. N.", "" ] ]

The complete energy spectrum for the Dirac oscillator via R-deformed Heisenberg algebra is investigated.

25.933626

13.379023

27.313507

24.747808

16.045498

13.605188

17.664707

16.794361

18.821573

32.767849

16.176445

20.179993

22.249987

19.993412

19.35272

18.275911

18.739328

18.159985

21.853807

25.351223

18.009256

1611.07557

Carlos Tamarit

Alexis D. Plascencia and Carlos Tamarit

Gauge-independence of tunneling rates

6 pages. Contribution to the Proceedings of the 38th International Conference on High Energy Physics, ICHEP 2016, Chicago, IL, USA

PoS(ICHEP2016)345

null

IPPP/16/118

hep-th hep-ph

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

It is shown that tunneling rates can be defined in terms of a false-vacuum effective action whose reality and convexity properties differ from those of the corresponding groundstate functional. The tunneling rate is directly related to the false-vacuum effective action evaluated at an extremal "quantum bounce". The Nielsen identities of the false-vacuum functional ensure that the rate remains independent of the choice of gauge-fixing. Our results are nonperturbative and clarify issues related with convexity and radiative corrections.

[ { "created": "Tue, 22 Nov 2016 22:24:43 GMT", "version": "v1" } ]

2016-11-24

[ [ "Plascencia", "Alexis D.", "" ], [ "Tamarit", "Carlos", "" ] ]

It is shown that tunneling rates can be defined in terms of a false-vacuum effective action whose reality and convexity properties differ from those of the corresponding groundstate functional. The tunneling rate is directly related to the false-vacuum effective action evaluated at an extremal "quantum bounce". The Nielsen identities of the false-vacuum functional ensure that the rate remains independent of the choice of gauge-fixing. Our results are nonperturbative and clarify issues related with convexity and radiative corrections.

13.006854

13.153735

11.600389

10.89857

12.054335

12.410625

10.858182

11.029413

11.296189

11.96861

11.203147

11.876322

11.588162

11.351736

11.431833

11.828881

11.841367

11.679244

11.626245

11.700132

11.53406

hep-th/9406090

Jacques Distler

Jacques Distler and Shamit Kachru

Singlet Couplings and (0,2) Models

22pp, harvmac+epsf, 2 figures included with uufiles, PUPT-1465

Nucl.Phys.B430:13-30,1994

10.1016/0550-3213(94)90648-3

null

hep-th

null

We use the quantum symmetries present in string compactification on Landau-Ginzburg orbifolds to prove the existence of a large class of exactly marginal (0,2) deformations of (2,2) superconformal theories. Analogous methods apply to the more general (0,2) models introduced in \DK, lending further credence to the fact that the corresponding \LG\ models represent bona-fide (0,2) SCFTs. We also use the large symmetry groups which arise when the worldsheet superpotential is turned off to constrain the dependence of certain correlation functions on the untwisted moduli. This allows us to approach the problem of what happens when one tries to deform away from the \LG\ point. In particular, we find that the masses and three-point couplings of the massless $E_{6}$ singlets related to ${\rm H^{1}}(\ET)$ vanish at all points in the quintic \Ka\ moduli space. Putting these results together, and invoking some plausible dynamical assumptions about the corresponding linear \sm s, we show that one can deform these \LG\ theories to arbitrary values of the \Ka\ moduli.

[ { "created": "Tue, 14 Jun 1994 18:17:44 GMT", "version": "v1" } ]

2009-10-07

[ [ "Distler", "Jacques", "" ], [ "Kachru", "Shamit", "" ] ]

We use the quantum symmetries present in string compactification on Landau-Ginzburg orbifolds to prove the existence of a large class of exactly marginal (0,2) deformations of (2,2) superconformal theories. Analogous methods apply to the more general (0,2) models introduced in \DK, lending further credence to the fact that the corresponding \LG\ models represent bona-fide (0,2) SCFTs. We also use the large symmetry groups which arise when the worldsheet superpotential is turned off to constrain the dependence of certain correlation functions on the untwisted moduli. This allows us to approach the problem of what happens when one tries to deform away from the \LG\ point. In particular, we find that the masses and three-point couplings of the massless $E_{6}$ singlets related to ${\rm H^{1}}(\ET)$ vanish at all points in the quintic \Ka\ moduli space. Putting these results together, and invoking some plausible dynamical assumptions about the corresponding linear \sm s, we show that one can deform these \LG\ theories to arbitrary values of the \Ka\ moduli.

11.092369

10.341604

12.257878

10.322255

10.865363

10.576931

10.667714

10.47366

9.825813

12.745286

10.115596

10.50932

11.032377

10.630182

10.358404

10.456991

10.774013

10.659596

10.521256

10.630166

10.450157

1412.8422

Lilia Anguelova

Lilia Anguelova, Peter Suranyi, L.C. Rohana Wijewardhana

De Sitter Space in Gauge/Gravity Duality

34 pages; minor clarifications and references added

Nucl. Phys. B899 (2015) 651

10.1016/j.nuclphysb.2015.08.020

null

hep-th

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

We investigate gauge/gravity duality for gauge theories in de Sitter space. More precisely, we study a five-dimensional consistent truncation of type IIB supergravity, which encompasses a wide variety of gravity duals of strongly coupled gauge theories, including the Maldacena-Nunez solution and its walking deformations. We find several solutions of the 5d theory with dS_4 spacetime and nontrivial profiles for (some of) the scalars along the fifth (radial) direction. In the process, we prove that one of the equations of motion becomes dependent on the others, for nontrivial warp factor. This dependence reduces the number of field equations and, thus, turns out to be crucial for the existence of solutions with (A)dS_4 spacetime. Finally, we comment on the implications of our dS_4 solutions for building gravity duals of Glueball Inflation.

[ { "created": "Mon, 29 Dec 2014 18:45:30 GMT", "version": "v1" }, { "created": "Fri, 20 Feb 2015 21:05:17 GMT", "version": "v2" }, { "created": "Thu, 3 Sep 2015 19:14:31 GMT", "version": "v3" } ]

2015-12-09

[ [ "Anguelova", "Lilia", "" ], [ "Suranyi", "Peter", "" ], [ "Wijewardhana", "L. C. Rohana", "" ] ]

We investigate gauge/gravity duality for gauge theories in de Sitter space. More precisely, we study a five-dimensional consistent truncation of type IIB supergravity, which encompasses a wide variety of gravity duals of strongly coupled gauge theories, including the Maldacena-Nunez solution and its walking deformations. We find several solutions of the 5d theory with dS_4 spacetime and nontrivial profiles for (some of) the scalars along the fifth (radial) direction. In the process, we prove that one of the equations of motion becomes dependent on the others, for nontrivial warp factor. This dependence reduces the number of field equations and, thus, turns out to be crucial for the existence of solutions with (A)dS_4 spacetime. Finally, we comment on the implications of our dS_4 solutions for building gravity duals of Glueball Inflation.

6.667574

6.805709

7.463459

6.862293

7.096352

7.040596

6.86542

6.473902

6.571754

7.80182

6.582701

6.503736

7.104924

6.433698

6.497973

6.541551

6.642499

6.566939

6.731053

7.187231

6.633821

1812.05406

Tony Pinhero

Natural $\alpha$-Attractors from ${\cal N}=1$ Supergravity via flat K\"ahler Manifolds

9 pages, 5 figures

null

hep-th

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

We present $\alpha$-attractor models for inflation based on ${\cal N}=1$ supergravity with flat K\"ahler manifolds. The function form of the associated K\"ahler potential in these models are logarithmic square in nature and has a visible shift symmetry in its composite canonical variables. The scalar potential $V$ with respect to these field variables has an infinitely long dS valley of constant depth and width at large values of inflaton field $\psi$ and attains a Minkowski minimum at small $\psi$. We illustrate this new framework with a couple of examples.

[ { "created": "Thu, 13 Dec 2018 13:11:25 GMT", "version": "v1" }, { "created": "Tue, 18 Dec 2018 11:03:27 GMT", "version": "v2" } ]

2018-12-19

[ [ "Pinhero", "Tony", "" ] ]

We present $\alpha$-attractor models for inflation based on ${\cal N}=1$ supergravity with flat K\"ahler manifolds. The function form of the associated K\"ahler potential in these models are logarithmic square in nature and has a visible shift symmetry in its composite canonical variables. The scalar potential $V$ with respect to these field variables has an infinitely long dS valley of constant depth and width at large values of inflaton field $\psi$ and attains a Minkowski minimum at small $\psi$. We illustrate this new framework with a couple of examples.

13.059689

11.564444

13.608607

10.704428

12.724114

12.694559

12.94153

11.852925

10.681147

13.381887

11.10582

11.928762

12.345915

12.175749

12.17554

12.06744

12.41149

11.759816

11.707873

12.511011

12.279469

1003.2746

Samir Mathur

Steven G. Avery, Borun D. Chowdhury, Samir D. Mathur

Excitations in the deformed D1D5 CFT

26 pages, Latex, 4 figures

JHEP 1006:032,2010

10.1007/JHEP06(2010)032

null

hep-th

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

We perform some simple computations for the first order deformation of the D1D5 CFT off its orbifold point. It had been shown earlier that under this deformation the vacuum state changes to a squeezed state (with the further action of a supercharge). We now start with states containing one or two initial quanta and write down the corresponding states obtained under the action of deformation operator. The result is relevant to the evolution of an initial excitation in the CFT dual to the near extremal D1D5 black hole: when a left and a right moving excitation collide in the CFT, the deformation operator spreads their energy over a larger number of quanta, thus evolving the state towards the infrared.

[ { "created": "Sat, 13 Mar 2010 22:57:41 GMT", "version": "v1" } ]

2014-11-20

[ [ "Avery", "Steven G.", "" ], [ "Chowdhury", "Borun D.", "" ], [ "Mathur", "Samir D.", "" ] ]

We perform some simple computations for the first order deformation of the D1D5 CFT off its orbifold point. It had been shown earlier that under this deformation the vacuum state changes to a squeezed state (with the further action of a supercharge). We now start with states containing one or two initial quanta and write down the corresponding states obtained under the action of deformation operator. The result is relevant to the evolution of an initial excitation in the CFT dual to the near extremal D1D5 black hole: when a left and a right moving excitation collide in the CFT, the deformation operator spreads their energy over a larger number of quanta, thus evolving the state towards the infrared.

13.338259

13.293799

15.330087

12.784629

13.076691

12.826536

14.081148

13.615433

12.510976

16.327942

12.847503

12.87639

14.046029

13.157885

13.320739

12.891542

12.519972

13.036727

12.830548

14.504604

12.73993

hep-th/0512206

Martin Rocek

Martin Rocek, Cumrun Vafa, Stefan Vandoren

Hypermultiplets and Topological Strings

21 pages, references added

JHEP0602:062,2006

10.1088/1126-6708/2006/02/062

YITP-SB-05-39, HUTP-05/A055,ITP-UU-05/56,SPIN-05/36

hep-th

null

The c-map relates classical hypermultiplet moduli spaces in compactifications of type II strings on a Calabi-Yau threefold to vector multiplet moduli spaces via a further compactification on a circle. We give an off-shell description of the c-map in N=2 superspace. The superspace Lagrangian for the hypermultiplets is a single function directly related to the prepotential of special geometry, and can therefore be computed using topological string theory. Similarly, a class of higher derivative terms for hypermultiplets can be computed from the higher genus topological string amplitudes. Our results provide a framework for studying quantum corrections to the hypermultiplet moduli space, as well as for understanding the black hole wave-function as a function of the hypermultiplet moduli.

[ { "created": "Fri, 16 Dec 2005 14:00:02 GMT", "version": "v1" }, { "created": "Sat, 24 Dec 2005 01:41:06 GMT", "version": "v2" } ]

2009-11-11

[ [ "Rocek", "Martin", "" ], [ "Vafa", "Cumrun", "" ], [ "Vandoren", "Stefan", "" ] ]

The c-map relates classical hypermultiplet moduli spaces in compactifications of type II strings on a Calabi-Yau threefold to vector multiplet moduli spaces via a further compactification on a circle. We give an off-shell description of the c-map in N=2 superspace. The superspace Lagrangian for the hypermultiplets is a single function directly related to the prepotential of special geometry, and can therefore be computed using topological string theory. Similarly, a class of higher derivative terms for hypermultiplets can be computed from the higher genus topological string amplitudes. Our results provide a framework for studying quantum corrections to the hypermultiplet moduli space, as well as for understanding the black hole wave-function as a function of the hypermultiplet moduli.

6.723397

5.95737

6.976581

5.73915

6.158455

5.972331

6.111007

5.899744

5.645127

7.355856

5.726407

6.000909

6.727481

6.164059

6.376066

5.908219

6.212847

6.420031

6.102829

6.865062

6.345426

0807.1046

Jonas Schmidt

Wilfried Buchmuller, Jonas Schmidt

Higgs versus Matter in the Heterotic Landscape

29 pages, 1 figure. Final version to appear in Nucl. Phys. B

Nucl.Phys.B807:265-289,2009

10.1016/j.nuclphysb.2008.09.011

DESY 08-075

hep-th hep-ph

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

In supersymmetric extensions of the standard model there is no basic difference between Higgs and matter fields, which leads to the well known problem of potentially large baryon and lepton number violating interactions. Although these unwanted couplings can be forbidden by continuous or discrete global symmetries, a theoretical guiding principle for their choice is missing. We examine this problem for a class of vacua of the heterotic string compactified on an orbifold. As expected, in general there is no difference between Higgs and matter. However, certain vacua happen to possess unbroken matter parity and discrete $R$-symmetries which single out Higgs fields in the low energy effective field theory. We present a method how to identify maximal vacua in which the perturbative contribution to the $\mu$-term and the expectation value of the superpotential vanish. Two vacua are studied in detail, one with two pairs of Higgs doublets and one with partial gauge-Higgs unification.

[ { "created": "Mon, 7 Jul 2008 15:37:57 GMT", "version": "v1" }, { "created": "Thu, 4 Sep 2008 09:51:46 GMT", "version": "v2" } ]

2008-11-26

[ [ "Buchmuller", "Wilfried", "" ], [ "Schmidt", "Jonas", "" ] ]

In supersymmetric extensions of the standard model there is no basic difference between Higgs and matter fields, which leads to the well known problem of potentially large baryon and lepton number violating interactions. Although these unwanted couplings can be forbidden by continuous or discrete global symmetries, a theoretical guiding principle for their choice is missing. We examine this problem for a class of vacua of the heterotic string compactified on an orbifold. As expected, in general there is no difference between Higgs and matter. However, certain vacua happen to possess unbroken matter parity and discrete $R$-symmetries which single out Higgs fields in the low energy effective field theory. We present a method how to identify maximal vacua in which the perturbative contribution to the $\mu$-term and the expectation value of the superpotential vanish. Two vacua are studied in detail, one with two pairs of Higgs doublets and one with partial gauge-Higgs unification.

7.735599

8.722882

7.864743

7.61021

7.744292

8.096475

7.796657

7.636641

7.421006

8.348948

7.804004

7.500587

7.722889

7.121744

7.480476

7.395073

7.364218

7.405035

7.402168

7.614462

7.338265

hep-th/0502028

N. E. J. Bjerrum-Bohr

Steven J. Bidder, N. E. J. Bjerrum-Bohr, David C. Dunbar and Warren B. Perkins

One-Loop Gluon Scattering Amplitudes in Theories with $N < 4$ Supersymmetries

15 pages, minor typos corrected

Phys.Lett.B612:75-88,2005

10.1016/j.physletb.2005.02.045

SWAT-05-425

hep-th

null

Generalised unitarity techniques are used to calculate the coefficients of box and triangle integral functions of one-loop gluon scattering amplitudes in gauge theories with $N < 4$ supersymmetries. We show that the box coefficients in N=1 and N=0 theories inherit the same coplanar and collinear constraints as the corresponding N=4 coefficients. We use triple cuts to determine the coefficients of the triangle integral functions and present, as an example, the full expression for the one-loop amplitude $A^{N=1}(1^-,2^-,3^-,4^+,..,n^+)$.

[ { "created": "Wed, 2 Feb 2005 20:53:18 GMT", "version": "v1" }, { "created": "Tue, 15 Feb 2005 17:00:36 GMT", "version": "v2" }, { "created": "Thu, 23 Mar 2006 12:13:23 GMT", "version": "v3" } ]

2008-11-26

[ [ "Bidder", "Steven J.", "" ], [ "Bjerrum-Bohr", "N. E. J.", "" ], [ "Dunbar", "David C.", "" ], [ "Perkins", "Warren B.", "" ] ]

Generalised unitarity techniques are used to calculate the coefficients of box and triangle integral functions of one-loop gluon scattering amplitudes in gauge theories with $N < 4$ supersymmetries. We show that the box coefficients in N=1 and N=0 theories inherit the same coplanar and collinear constraints as the corresponding N=4 coefficients. We use triple cuts to determine the coefficients of the triangle integral functions and present, as an example, the full expression for the one-loop amplitude $A^{N=1}(1^-,2^-,3^-,4^+,..,n^+)$.

7.114252

5.948925

6.968792

6.158542

6.628417

6.204315

6.45667

6.032126

6.127308

6.768649

6.254214

6.126145

6.773688

6.206358

6.188657

5.94904

5.998067

6.226617

5.943361

6.792064

6.431546

1302.5024

Ehsan Hatefi

Closed string Ramond-Ramond proposed higher derivative interactions on fermionic amplitudes in IIB

29 pages, figures are removed. Sections 3,4, and 5 are shortened. To appear in NPB

Nucl.Phys. B880 (2014) 1-22

10.1016/j.nuclphysb.2014.01.001

null

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

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

The complete form of the amplitude of one closed string Ramond-Ramond (RR), two fermionic strings and one scalar field in IIB superstring theory has been computed in detail. Deriving $<V_{C}V_{\bar\psi}V_{\psi} V_{\phi}>$ by using suitable gauge fixing, we discover some new vertices and their higher derivative corrections. We investigate both infinite gauge and scalar $u-$channel poles of this amplitude. In particular, by using the fact that the kinetic term of fermion fields has no correction, employing Born-Infeld action, the Wess-Zumino terms and their higher derivative corrections, we discover all infinite $t,s-$channel fermion poles. The couplings between one RR and two fermions and all their infinite higher derivative corrections have been explored. In order to look for all infinite $(s+t+u)-$ channel scalar/gauge poles for $p+2=n,p=n$ cases, we obtain the couplings between two fermions-two scalars and two fermions, one scalar and one gauge field as well as all their infinite higher derivative corrections in type IIB. Specifically we make various comments based on arXiv:1205.5079 in favor of universality conjecture for all order higher derivative corrections (with or without low energy expansion) and the relation of open/closed string that is responsible for all superstring scattering amplitudes in IIA,IIB.

[ { "created": "Wed, 20 Feb 2013 16:34:36 GMT", "version": "v1" }, { "created": "Sun, 9 Jun 2013 21:37:32 GMT", "version": "v2" }, { "created": "Tue, 16 Jul 2013 12:29:27 GMT", "version": "v3" }, { "created": "Fri, 3 Jan 2014 15:24:44 GMT", "version": "v4" } ]

2014-01-23

[ [ "Hatefi", "Ehsan", "" ] ]

The complete form of the amplitude of one closed string Ramond-Ramond (RR), two fermionic strings and one scalar field in IIB superstring theory has been computed in detail. Deriving $<V_{C}V_{\bar\psi}V_{\psi} V_{\phi}>$ by using suitable gauge fixing, we discover some new vertices and their higher derivative corrections. We investigate both infinite gauge and scalar $u-$channel poles of this amplitude. In particular, by using the fact that the kinetic term of fermion fields has no correction, employing Born-Infeld action, the Wess-Zumino terms and their higher derivative corrections, we discover all infinite $t,s-$channel fermion poles. The couplings between one RR and two fermions and all their infinite higher derivative corrections have been explored. In order to look for all infinite $(s+t+u)-$ channel scalar/gauge poles for $p+2=n,p=n$ cases, we obtain the couplings between two fermions-two scalars and two fermions, one scalar and one gauge field as well as all their infinite higher derivative corrections in type IIB. Specifically we make various comments based on arXiv:1205.5079 in favor of universality conjecture for all order higher derivative corrections (with or without low energy expansion) and the relation of open/closed string that is responsible for all superstring scattering amplitudes in IIA,IIB.

14.275985

11.013382

15.007466

11.87478

11.036108

11.251988

10.838975

10.429719

11.507716

14.809945

10.872889

12.334138

13.796017

12.483795

11.928537

12.035662

12.234425

12.275818

12.429886

13.828035

12.374618

1707.01918

Ulf Lindstr\"om

Chris Hull and Ulf Lindstr\"om

All $(4,0)$: Sigma Models with $(4,0)$ Off-Shell Supersymmetry

13 pages

null

10.1007/JHEP08(2017)129

Imperial preprint: Imperial-TP-2017-CH-02, Uppsala preprint: UUITP-20/17

hep-th math.DG

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

Off-shell $(4,0)$ supermultiplets in 2-dimensions are formulated. These are used to construct sigma models whose target spaces are vector bundles over manifolds that are hyperk\"ahler with torsion. The off-shell supersymmetry implies that the complex structures are simultaneously integrable and allows us to write actions using extended superspace and projective superspace, giving an explicit construction of the target space geometries.

[ { "created": "Thu, 6 Jul 2017 18:06:33 GMT", "version": "v1" } ]

2017-09-13

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

Off-shell $(4,0)$ supermultiplets in 2-dimensions are formulated. These are used to construct sigma models whose target spaces are vector bundles over manifolds that are hyperk\"ahler with torsion. The off-shell supersymmetry implies that the complex structures are simultaneously integrable and allows us to write actions using extended superspace and projective superspace, giving an explicit construction of the target space geometries.

11.959397

8.458661

12.446835

8.935641

10.126048

9.358272

10.062225

8.164888

8.44347

12.572035

8.871003

9.862199

11.221854

10.014492

9.737598

9.842172

9.955628

9.543314

9.978963

10.897281

9.905575

hep-th/9903064

Jean-Pierre Derendinger

Temperature Instabilities in N=4 Strings

7 pages, 32nd Int. Symposium Ahrenshoop, Buckow, Germany, Sept. 1-5, 1998

Fortsch.Phys.48:77-82,2000

10.1002/(SICI)1521-3978(20001)48:1/3<77::AID-PROP77>3.0.CO;2-U

NEIP-99-003

hep-th

null

An effective supergravity description of all instabilities of N_4=4 superstrings is derived. The construction is based on the N_4=4 BPS mass formula at finite temperature and uses the properties of N_4=4 gauged supergravity. It provides the boundaries of the various thermal phases in the non-perturbative moduli space. It also draws a precise picture of the dynamics in the high-temperature heterotic phase. This brief contribution summarizes results obtained in collaboration with I. Antoniadis and C. Kounnas.

[ { "created": "Mon, 8 Mar 1999 15:42:57 GMT", "version": "v1" } ]

2015-06-26

[ [ "Derendinger", "Jean-Pierre", "" ] ]

An effective supergravity description of all instabilities of N_4=4 superstrings is derived. The construction is based on the N_4=4 BPS mass formula at finite temperature and uses the properties of N_4=4 gauged supergravity. It provides the boundaries of the various thermal phases in the non-perturbative moduli space. It also draws a precise picture of the dynamics in the high-temperature heterotic phase. This brief contribution summarizes results obtained in collaboration with I. Antoniadis and C. Kounnas.

11.776196

9.439448

10.599145

9.143411

10.061126

9.706444

9.562737

9.073004

9.370556

10.662481

10.052598

9.690465

10.099198

9.520406

9.121876

9.168984

9.190091

9.29423

9.814093

10.483824

9.628579

hep-th/9908099

Theodore A. Jacobson

Ted Jacobson and David Mattingly

Hawking radiation on a falling lattice

11 pages, 7 figures, RevTex; paragraph added to introduction discussing insensitivity to choice of lattice point worldlines, version appearing in PRD

Phys.Rev.D61:024017,2000

10.1103/PhysRevD.61.024017

NSF-ITP-99-097

hep-th gr-qc hep-lat

null

Scalar field theory on a lattice falling freely into a 1+1 dimensional black hole is studied using both WKB and numerical approaches. The outgoing modes are shown to arise from incoming modes by a process analogous to a Bloch oscillation, with an admixture of negative frequency modes corresponding to the Hawking radiation. Numerical calculations show that the Hawking effect is reproduced to within 0.5% on a lattice whose proper spacing where the wavepacket turns around at the horizon is $\sim0.08$ in units where the surface gravity is 1.

[ { "created": "Fri, 13 Aug 1999 21:40:15 GMT", "version": "v1" }, { "created": "Wed, 12 Jan 2000 23:30:55 GMT", "version": "v2" } ]

2014-11-18

[ [ "Jacobson", "Ted", "" ], [ "Mattingly", "David", "" ] ]

Scalar field theory on a lattice falling freely into a 1+1 dimensional black hole is studied using both WKB and numerical approaches. The outgoing modes are shown to arise from incoming modes by a process analogous to a Bloch oscillation, with an admixture of negative frequency modes corresponding to the Hawking radiation. Numerical calculations show that the Hawking effect is reproduced to within 0.5% on a lattice whose proper spacing where the wavepacket turns around at the horizon is $\sim0.08$ in units where the surface gravity is 1.

12.06331

11.3172

11.223275

10.567415

10.98313

12.528201

12.157176

11.192667

11.660672

11.838669

11.467099

11.202653

11.141488

10.980236

10.953239

10.741923

11.235773

10.930838

11.491035

11.518534

11.402275

hep-th/0210191

Nadir Belaloui

N. Belaloui and H. Bennacer

Poincare algebra and space-time critical dimensions for parabosonic strings

Latex,16 pages; v2 : published version, with numbering of formulas and conclusion corrected

Czech.J.Phys. 53 (2003) 769-783

10.1023/A:1025970432658

null

hep-th

null

We construct the parabosonic string formalism based on the paraquantization of both the center of mass variables and the excitation modes of the string. A critical study of the different commutators of the Poincar\'{e} algebra based on the redefinition of its generators and the direct treatment using trilinear relations is done. Space-time critical dimensions $D$ as functions of the paraquantization order $Q$ are obtained.

[ { "created": "Sun, 20 Oct 2002 22:47:48 GMT", "version": "v1" }, { "created": "Thu, 30 Oct 2003 13:47:06 GMT", "version": "v2" } ]

2009-11-07

[ [ "Belaloui", "N.", "" ], [ "Bennacer", "H.", "" ] ]

We construct the parabosonic string formalism based on the paraquantization of both the center of mass variables and the excitation modes of the string. A critical study of the different commutators of the Poincar\'{e} algebra based on the redefinition of its generators and the direct treatment using trilinear relations is done. Space-time critical dimensions $D$ as functions of the paraquantization order $Q$ are obtained.

14.187799

13.695145

15.487483

11.643101

15.217966

13.627225

13.876766

13.459587

12.897872

16.524891

13.242799

13.101075

13.857729

12.934109

13.567597

13.327343

13.579296

13.702284

12.725177

13.165402

12.894872

0810.1985

Paul Chesler

Paul M. Chesler, Kristan Jensen, Andreas Karch, Laurence G. Yaffe

Light quark energy loss in strongly-coupled N = 4 supersymmetric Yang-Mills plasma

19 pages, 7 figures. Added discussion, published version

Phys.Rev.D79:125015,2009

10.1103/PhysRevD.79.125015

null

hep-th hep-ph nucl-th

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

We compute the penetration depth of a light quark moving through a large $N_c$, strongly coupled $\mathcal N = 4$ supersymmetric Yang-Mills plasma using gauge/gravity duality and a combination of analytic and numerical techniques. We find that the maximum distance a quark with energy $E$ can travel through a plasma is given by $\Delta x(E) = (\mathcal C/T) (E/T \sqrt\lambda)^{{1}/{3}}$ with $\mathcal C \approx 0.5$.

[ { "created": "Sat, 11 Oct 2008 00:14:55 GMT", "version": "v1" }, { "created": "Tue, 21 Jul 2009 00:25:16 GMT", "version": "v2" } ]

2009-08-03

[ [ "Chesler", "Paul M.", "" ], [ "Jensen", "Kristan", "" ], [ "Karch", "Andreas", "" ], [ "Yaffe", "Laurence G.", "" ] ]

We compute the penetration depth of a light quark moving through a large $N_c$, strongly coupled $\mathcal N = 4$ supersymmetric Yang-Mills plasma using gauge/gravity duality and a combination of analytic and numerical techniques. We find that the maximum distance a quark with energy $E$ can travel through a plasma is given by $\Delta x(E) = (\mathcal C/T) (E/T \sqrt\lambda)^{{1}/{3}}$ with $\mathcal C \approx 0.5$.

6.025944

5.333942

5.653115

5.097452

5.725884

5.203159

5.522132

5.288308

5.416734

6.706575

5.262498

5.231926

5.848358

5.390231

5.516585

5.498212

5.172776

5.325023

5.215589

5.820531

5.277016

2007.09494

Diego Marqu\'es

Tomas Codina and Diego Marques

Generalized Dualities and Higher Derivatives

References added, published in JHEP

null

10.1007/JHEP10(2020)002

null

hep-th gr-qc

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

Generalized dualities had an intriguing incursion into Double Field Theory (DFT) in terms of local $O(d,d)$ transformations. We review this idea and use the higher derivative formulation of DFT to compute the first order corrections to generalized dualities. Our main result is a unified expression that can be easily specified to any generalized T-duality (Abelian, non-Abelian, Poisson-Lie, etc.) or deformations such as Yang-Baxter, in any of the theories captured by the bi-parametric deformation (bosonic, heterotic strings and HSZ theory), in any supergravity scheme related by field redefinitions. The prescription allows further extensions to higher orders. As a check we recover some previously known particular examples.

[ { "created": "Sat, 18 Jul 2020 18:14:29 GMT", "version": "v1" }, { "created": "Wed, 29 Jul 2020 02:19:47 GMT", "version": "v2" }, { "created": "Mon, 5 Oct 2020 11:38:36 GMT", "version": "v3" } ]

2020-10-06

[ [ "Codina", "Tomas", "" ], [ "Marques", "Diego", "" ] ]

Generalized dualities had an intriguing incursion into Double Field Theory (DFT) in terms of local $O(d,d)$ transformations. We review this idea and use the higher derivative formulation of DFT to compute the first order corrections to generalized dualities. Our main result is a unified expression that can be easily specified to any generalized T-duality (Abelian, non-Abelian, Poisson-Lie, etc.) or deformations such as Yang-Baxter, in any of the theories captured by the bi-parametric deformation (bosonic, heterotic strings and HSZ theory), in any supergravity scheme related by field redefinitions. The prescription allows further extensions to higher orders. As a check we recover some previously known particular examples.

18.121534

16.440231

19.991571

17.205788

18.447695

18.456457

16.442862

19.086483

16.296047

19.47802

16.586134

16.838614

17.721823

16.855066

16.889074

17.662205

16.539808

17.067469

16.969673

18.451675

17.112452

1612.07565

Tadashi Okazaki

Tadashi Okazaki, Douglas J. Smith

Mock Modular Index of M2-M5 Brane System

47 pages, 8 figures; v2: references added

Phys. Rev. D 96, 026017 (2017)

10.1103/PhysRevD.96.026017

DCPT-16/63; NCTS-TH/1611

hep-th math.AG math.NT math.RT

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

We present BPS indices of the supergroup WZW models that live on intersecting M2-M5 brane systems. They can encode data of the stretched M2-branes between M5-branes and count the BPS states. They are generally expressed in terms of mock theta functions via the Kac-Wakimoto character formula of the affine Lie superalgebra. We give an explicit expression of the index for the $PSL(2|2)_{k=1}$ WZW model in terms of the second order multi-variable Appell-Lerch sum. It indicates that wall-crossing occurs in the BPS state counting due to the $C$-field on the M5-branes.

[ { "created": "Thu, 22 Dec 2016 12:11:57 GMT", "version": "v1" }, { "created": "Tue, 17 Jan 2017 01:01:51 GMT", "version": "v2" } ]

2017-07-25

[ [ "Okazaki", "Tadashi", "" ], [ "Smith", "Douglas J.", "" ] ]

We present BPS indices of the supergroup WZW models that live on intersecting M2-M5 brane systems. They can encode data of the stretched M2-branes between M5-branes and count the BPS states. They are generally expressed in terms of mock theta functions via the Kac-Wakimoto character formula of the affine Lie superalgebra. We give an explicit expression of the index for the $PSL(2|2)_{k=1}$ WZW model in terms of the second order multi-variable Appell-Lerch sum. It indicates that wall-crossing occurs in the BPS state counting due to the $C$-field on the M5-branes.

8.46532

8.843589

11.327052

7.525085

7.664675

8.074469

8.552787

7.825

7.819312

11.083545

7.737595

7.832724

9.118956

7.866933

8.145266

7.828837

8.083356

7.696813

7.953952

8.853417

7.787848

2108.01539

Xin Guo

Xin Guo and Kimball A. Milton and Gerard Kennedy and William P. McNulty and Nima Pourtolami and Yang Li

The energetics of quantum vacuum friction: Field fluctuations

null

10.1103/PhysRevD.104.116006

null

hep-th physics.atom-ph quant-ph

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

Quantum fluctuations can induce a friction on a neutral but polarizable particle and cause it to radiate energy even if the particle is moving in free space filled with blackbody radiation, and is not in contact with or close to any surface or other object. We explore the energetics of such a particle moving uniformly in vacuum, continuing our previous investigations of quantum friction. The intrinsic polarizability of the particle is considered to be purely real before it is dressed by radiation. The particle is then guaranteed to be in the nonequilibrium steady state (NESS), where it absorbs and emits energy at the same rate. We first calculate the quantum frictional power and force on the particle in the rest frame of the blackbody radiation from first principles, namely the Maxwell-Heaviside equations and the Lorentz force law. Then we provide a simpler method of obtaining the same quantities in the rest frame of the particle by using the principle of virtual work. The equivalence of the two approaches is illustrated. The formulas we derive for quantum vacuum frictional power and force are fully relativistic and applicable to finite temperature. In NESS, the quantum vacuum frictional force on the particle is shown to be a true drag, independent of the model for polarizability and the polarization state of the particle. Finally, we give an estimate of the quantum vacuum friction on a gold atom and comment on the feasibility of detecting such quantum vacuum frictional effects.

[ { "created": "Tue, 3 Aug 2021 14:44:50 GMT", "version": "v1" }, { "created": "Wed, 4 Aug 2021 07:39:42 GMT", "version": "v2" }, { "created": "Thu, 5 Aug 2021 15:26:34 GMT", "version": "v3" }, { "created": "Sun, 17 Oct 2021 07:15:48 GMT", "version": "v4" } ]

2021-12-22

[ [ "Guo", "Xin", "" ], [ "Milton", "Kimball A.", "" ], [ "Kennedy", "Gerard", "" ], [ "McNulty", "William P.", "" ], [ "Pourtolami", "Nima", "" ], [ "Li", "Yang", "" ] ]

Quantum fluctuations can induce a friction on a neutral but polarizable particle and cause it to radiate energy even if the particle is moving in free space filled with blackbody radiation, and is not in contact with or close to any surface or other object. We explore the energetics of such a particle moving uniformly in vacuum, continuing our previous investigations of quantum friction. The intrinsic polarizability of the particle is considered to be purely real before it is dressed by radiation. The particle is then guaranteed to be in the nonequilibrium steady state (NESS), where it absorbs and emits energy at the same rate. We first calculate the quantum frictional power and force on the particle in the rest frame of the blackbody radiation from first principles, namely the Maxwell-Heaviside equations and the Lorentz force law. Then we provide a simpler method of obtaining the same quantities in the rest frame of the particle by using the principle of virtual work. The equivalence of the two approaches is illustrated. The formulas we derive for quantum vacuum frictional power and force are fully relativistic and applicable to finite temperature. In NESS, the quantum vacuum frictional force on the particle is shown to be a true drag, independent of the model for polarizability and the polarization state of the particle. Finally, we give an estimate of the quantum vacuum friction on a gold atom and comment on the feasibility of detecting such quantum vacuum frictional effects.

9.228218

11.104809

10.151072

9.467196

10.242827

10.373311

9.847323

10.154535

9.27362

10.821056

9.989475

9.515924

9.387678

9.55592

9.757182

9.566028

9.872644

9.587132

9.539133

9.410821

9.352096

hep-th/9707085

Harutada Sato

H-T. Sato

Note on thermodynamic fermion loop under constant magnetic field

8 pages

J.Math.Phys. 39 (1998) 4540

10.1063/1.532524

NBI-HE-97-30

hep-th

null

The one-loop effective potential of a thermodynamic fermion loop under constant magnetic field is studied. As expected, it can be interpreted literally as a discretized sum of $(D-2)$-dimensional energy density above the Dirac sea. Large/small mass expansions of the potential are also examined.

[ { "created": "Wed, 9 Jul 1997 12:59:58 GMT", "version": "v1" } ]

2009-10-30

[ [ "Sato", "H-T.", "" ] ]

The one-loop effective potential of a thermodynamic fermion loop under constant magnetic field is studied. As expected, it can be interpreted literally as a discretized sum of $(D-2)$-dimensional energy density above the Dirac sea. Large/small mass expansions of the potential are also examined.

25.25355

20.823139

21.268282

19.128784

19.592989

18.366398

20.685324

20.640257

20.360603

23.051506

19.812771

20.737661

20.78624

20.723679

20.448715

20.101572

20.03315

20.320904

20.118145

20.708851

19.57836

hep-th/9809015

Klaus Behrndt

AdS gravity and field theories at fixpoints

16 pages, 2 figure, LaTeX

null

hep-th

null

The renormalization group flow of the worldvolume theory depends very much from the number of unbroken supersymmetries. In the dual $AdS$ picture we break supersymmetry by adding different types of BPS black holes. We argue, that this BPS black hole causes a non-trivial renormalization group flow in the worldvolume field theory and especially a regular horizon translates into a non-trivial IR fixpoint. For this interpretation we have to rewrite the $AdS$ models into a flat space description with a linear dilaton vacuum. The dual models (linear dilaton and the $AdS$ vacuum) can be seen as the different sides of a domain wall. We discuss the cases of $AdS_3$ and $AdS_5$.

[ { "created": "Wed, 2 Sep 1998 13:06:44 GMT", "version": "v1" } ]

2007-05-23

[ [ "Behrndt", "Klaus", "" ] ]

The renormalization group flow of the worldvolume theory depends very much from the number of unbroken supersymmetries. In the dual $AdS$ picture we break supersymmetry by adding different types of BPS black holes. We argue, that this BPS black hole causes a non-trivial renormalization group flow in the worldvolume field theory and especially a regular horizon translates into a non-trivial IR fixpoint. For this interpretation we have to rewrite the $AdS$ models into a flat space description with a linear dilaton vacuum. The dual models (linear dilaton and the $AdS$ vacuum) can be seen as the different sides of a domain wall. We discuss the cases of $AdS_3$ and $AdS_5$.

10.399086

10.180368

11.023259

9.386083

10.531802

10.162627

10.942864

10.32084

10.440525

12.078183

9.506716

10.029546

10.522784

9.817904

9.812841

9.815697

9.68655

9.883855

9.721869

10.373702

9.614944

1806.01362

Chandrima Paul

Metallic and antiferromagnetic fixed points from gravity

22 Pages, no figures

International Journal of Modern Physics A Vol. 33 (2018) 1850094

10.1142/S0217751X1850094X

null

hep-th

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

We consider SU(2)$\times$ U(1) gauge theory coupled to matter field in adjoints and study RG group flow. We constructed Callan Symanzik equation and subsequent $\beta$ functions and study the fixed points. We find there are two fixed points, showing metallic and antiferromagnetic behaviour. We have shown that metallic phase develops an instability if certain parametric conditions are satisfied.

[ { "created": "Mon, 4 Jun 2018 20:08:55 GMT", "version": "v1" } ]

2018-06-06

[ [ "Paul", "Chandrima", "" ] ]

We consider SU(2)$\times$ U(1) gauge theory coupled to matter field in adjoints and study RG group flow. We constructed Callan Symanzik equation and subsequent $\beta$ functions and study the fixed points. We find there are two fixed points, showing metallic and antiferromagnetic behaviour. We have shown that metallic phase develops an instability if certain parametric conditions are satisfied.

16.825335

13.070712

15.144152

13.828866

16.024122

14.977938

16.078508

15.43129

14.841354

15.810855

15.430216

15.124497

14.74317

14.489034

14.592614

15.513294

14.726606

14.412963

14.534573

14.853868

13.859239

hep-th/0702118

Micha{\l} Spali\'nski

Michal Spalinski

On the Slow Roll Expansion for Brane Inflation

References added

JCAP 0704:018,2007

10.1088/1475-7516/2007/04/018

null

hep-th

null

One possibility for identifying the inflaton in the framework of string theory is that it is a $D$-brane modulus. This option involves a specific, non-canonical form of the kinetic energy -- the Dirac-Born-Infeld action. This note investigates the applicability of the slow roll approximation in inflationary models of this type. To this end the slow roll expansion of Liddle, Parsons and Barrow is derived for the case of the DBI action. The resulting slow roll conditions augment the standard ones valid in the case of canonical kinetic terms. It is also shown that in DBI models inflation does not require that the potential dominate the energy density.

[ { "created": "Thu, 15 Feb 2007 20:04:42 GMT", "version": "v1" }, { "created": "Thu, 29 Mar 2007 12:18:51 GMT", "version": "v2" }, { "created": "Sun, 29 Apr 2007 15:02:21 GMT", "version": "v3" } ]

2010-10-27

[ [ "Spalinski", "Michal", "" ] ]

One possibility for identifying the inflaton in the framework of string theory is that it is a $D$-brane modulus. This option involves a specific, non-canonical form of the kinetic energy -- the Dirac-Born-Infeld action. This note investigates the applicability of the slow roll approximation in inflationary models of this type. To this end the slow roll expansion of Liddle, Parsons and Barrow is derived for the case of the DBI action. The resulting slow roll conditions augment the standard ones valid in the case of canonical kinetic terms. It is also shown that in DBI models inflation does not require that the potential dominate the energy density.

8.716997

9.007606

8.389807

7.823722

8.705602

8.639864

9.462171

7.826118

8.354942

10.113302

8.200228

7.888586

7.773909

7.867517

7.702966

7.906207

8.103314

7.880874

8.069817

8.341679

8.32336

hep-th/9701042

Argurio Riccardo

R. Argurio, F. Englert, L. Houart

Intersection Rules for p-Branes

15 pages, LaTeX, no figures. One reference modified; to appear in Phys. Lett. B

Phys.Lett.B398:61-68,1997

10.1016/S0370-2693(97)00205-0

ULB-TH-97/01

hep-th

null

We present a general rule determining how extremal branes can interesect in a configuration with zero binding energy. The rule is derived in a model independent way and in arbitrary spacetime dimensions $D$ by solving the equations of motion of gravity coupled to a dilaton and several different $n$-form field strengths. The intersection rules are all compatible with supersymmetry, although derived without using it. We then specialize to the branes occurring in type II string theories and in M-theory. We show that the intersection rules are consistent with the picture that open branes can have boundaries on some other branes. In particular, all the D-branes of dimension $q$, with $1\leq q \leq6$, can have boundaries on the solitonic 5-brane.

[ { "created": "Fri, 10 Jan 1997 15:36:30 GMT", "version": "v1" }, { "created": "Wed, 19 Feb 1997 10:33:24 GMT", "version": "v2" } ]

2011-05-05

[ [ "Argurio", "R.", "" ], [ "Englert", "F.", "" ], [ "Houart", "L.", "" ] ]

We present a general rule determining how extremal branes can interesect in a configuration with zero binding energy. The rule is derived in a model independent way and in arbitrary spacetime dimensions $D$ by solving the equations of motion of gravity coupled to a dilaton and several different $n$-form field strengths. The intersection rules are all compatible with supersymmetry, although derived without using it. We then specialize to the branes occurring in type II string theories and in M-theory. We show that the intersection rules are consistent with the picture that open branes can have boundaries on some other branes. In particular, all the D-branes of dimension $q$, with $1\leq q \leq6$, can have boundaries on the solitonic 5-brane.

9.455597

9.041404

9.949659

8.485822

8.945314

8.76424

9.109936

9.007188

8.88653

10.551311

8.579719

8.673901

9.178238

8.733998

8.846507

8.588608

8.570938

8.60235

8.648013

9.303041

8.900758

hep-th/9909114

Nuno Miguel Marques de Sousa

L. R. Huiszoon, A. N. Schellekens, N. Sousa

Klein Bottles and Simple Currents

11 pages, LaTeX. References added, minor error corrected

Phys.Lett. B470 (1999) 95-102

10.1016/S0370-2693(99)01241-1

NIKHEF 99-023

hep-th

null

The standard Klein bottle coefficient in the construction of open descendants is shown to equal the Frobenius-Schur indicator of a conformal field theory. Other consistent Klein bottle projections are shown to correspond to simple currents. These observations enable us to generalize the standard open string construction from C-diagonal parent theories to include non-standard Klein bottles. Using (generalizations of) the Frobenius-Schur indicator we prove positivity and integrality of the resulting open and closed string state multiplicities for standard as well as non-standard Klein bottles.

[ { "created": "Thu, 16 Sep 1999 09:13:45 GMT", "version": "v1" }, { "created": "Mon, 20 Sep 1999 15:21:09 GMT", "version": "v2" } ]

2009-10-31

[ [ "Huiszoon", "L. R.", "" ], [ "Schellekens", "A. N.", "" ], [ "Sousa", "N.", "" ] ]

The standard Klein bottle coefficient in the construction of open descendants is shown to equal the Frobenius-Schur indicator of a conformal field theory. Other consistent Klein bottle projections are shown to correspond to simple currents. These observations enable us to generalize the standard open string construction from C-diagonal parent theories to include non-standard Klein bottles. Using (generalizations of) the Frobenius-Schur indicator we prove positivity and integrality of the resulting open and closed string state multiplicities for standard as well as non-standard Klein bottles.

16.718664

15.092244

15.4645

15.313214

14.568193

15.02521

13.646843

13.587454

13.956986

16.977184

14.272863

13.985522

17.480436

13.52205

14.444051

13.843601

14.734729

14.165252

13.725681

15.840499

13.65874

1806.10144

G\'abor S\'arosi

Alexandre Belin, Aitor Lewkowycz, G\'abor S\'arosi

The boundary dual of the bulk symplectic form

6 pages, 1 figure, v2: published version

null

10.1016/j.physletb.2018.10.071

null

hep-th

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

In this paper, we study the overlaps of wavefunctionals prepared by turning on sources in the Euclidean path integral. For nearby states, these overlaps give rise to a Kahler structure on the space of sources, which is naturally induced by the Fubini-Study metric. The Kahler form obtained this way can also be thought of as a Berry curvature and, for holographic field theories, we show that it is identical to the gravitational symplectic form in the bulk. We discuss some possible applications of this observation, in particular a boundary prescription to calculate the variation of the volume of a maximal slice.

[ { "created": "Tue, 26 Jun 2018 18:00:02 GMT", "version": "v1" }, { "created": "Mon, 10 Dec 2018 21:03:05 GMT", "version": "v2" } ]

2018-12-12

[ [ "Belin", "Alexandre", "" ], [ "Lewkowycz", "Aitor", "" ], [ "Sárosi", "Gábor", "" ] ]

In this paper, we study the overlaps of wavefunctionals prepared by turning on sources in the Euclidean path integral. For nearby states, these overlaps give rise to a Kahler structure on the space of sources, which is naturally induced by the Fubini-Study metric. The Kahler form obtained this way can also be thought of as a Berry curvature and, for holographic field theories, we show that it is identical to the gravitational symplectic form in the bulk. We discuss some possible applications of this observation, in particular a boundary prescription to calculate the variation of the volume of a maximal slice.

9.96652

8.417922

10.661178

8.483932

8.765383

9.033069

8.440759

8.48336

9.058536

10.870126

8.118551

8.439575

9.479294

8.583592

8.358105

9.17119

8.722192

8.337936

8.388124

9.380574

8.34996

hep-th/0003298

J\"urgen Fuchs

J. Fuchs, C. Schweigert, J. Walcher

Projections in string theory and boundary states for Gepner models

37 pages, LaTeX2e

Nucl.Phys. B588 (2000) 110-148

10.1016/S0550-3213(00)00487-9

PAR-LPTHE 00-09, ETH-TH/00-2, CERN-TH/2000-0045

hep-th

null

In string theory various projections have to be imposed to ensure supersymmetry. We study the consequences of these projections in the presence of world sheet boundaries. A-type boundary conditions come in several classes; only boundary fields that do not change the class preserve supersymmetry. Our analysis takes in particular properly into account the resolution of fixed points under the projections. Thus e.g. the compositeness of some previously considered boundary states of Gepner models follows from chiral properties of the projections. Our arguments are model independent; in particular, integrality of all annulus coefficients is ensured by model independent arguments.

[ { "created": "Fri, 31 Mar 2000 20:05:49 GMT", "version": "v1" } ]

2009-10-31

[ [ "Fuchs", "J.", "" ], [ "Schweigert", "C.", "" ], [ "Walcher", "J.", "" ] ]

In string theory various projections have to be imposed to ensure supersymmetry. We study the consequences of these projections in the presence of world sheet boundaries. A-type boundary conditions come in several classes; only boundary fields that do not change the class preserve supersymmetry. Our analysis takes in particular properly into account the resolution of fixed points under the projections. Thus e.g. the compositeness of some previously considered boundary states of Gepner models follows from chiral properties of the projections. Our arguments are model independent; in particular, integrality of all annulus coefficients is ensured by model independent arguments.

19.167887

19.899185

21.554941

15.958839

16.963634

19.137362

19.500948

18.462563

17.051561

22.878799

18.707693

16.665579

18.961218

16.98744

17.00701

16.719011

17.249689

17.478661

16.825468

18.943428

16.708662

hep-th/9601069

null

V.A. Kazakov, M. Staudacher and T. Wynter

Exact Solution of Discrete Two-Dimensional R^2 Gravity

27 pages, 6 ps figures, uses harvmac.tex and epsf, minor changes

Nucl.Phys. B471 (1996) 309-333

10.1016/0550-3213(96)00184-8

LPTENS-95/56 and CERN-TH/95-352

hep-th

null

We exactly solve a special matrix model of dually weighted planar graphs describing pure two-dimensional quantum gravity with an R^2 interaction. It permits us to study the intermediate regimes between the gravitating and flat metric. Flat space is modeled by a regular square lattice, while localised curvature is introduced through lattice defects. No ``flattening'' phase transition is found with respect to the R^2 coupling: the infrared behaviour of the system is that of pure gravity for any finite R^2 coupling. In the limit of infinite coupling, we are able to extract a scaling function interpolating between pure gravity and a dilute gas of curvature defects on a flat background. We introduce and explain some novel techniques concerning our method of large N character expansions and the calculation of Schur characters on big Young tableaux.

[ { "created": "Sun, 14 Jan 1996 17:39:39 GMT", "version": "v1" }, { "created": "Mon, 15 Jan 1996 22:04:17 GMT", "version": "v2" }, { "created": "Fri, 16 Feb 1996 14:17:10 GMT", "version": "v3" } ]

2009-10-30

[ [ "Kazakov", "V. A.", "" ], [ "Staudacher", "M.", "" ], [ "Wynter", "T.", "" ] ]

We exactly solve a special matrix model of dually weighted planar graphs describing pure two-dimensional quantum gravity with an R^2 interaction. It permits us to study the intermediate regimes between the gravitating and flat metric. Flat space is modeled by a regular square lattice, while localised curvature is introduced through lattice defects. No ``flattening'' phase transition is found with respect to the R^2 coupling: the infrared behaviour of the system is that of pure gravity for any finite R^2 coupling. In the limit of infinite coupling, we are able to extract a scaling function interpolating between pure gravity and a dilute gas of curvature defects on a flat background. We introduce and explain some novel techniques concerning our method of large N character expansions and the calculation of Schur characters on big Young tableaux.

17.385651

17.528675

18.350258

16.593103

16.474455

16.500269

16.204308

19.392622

16.563173

19.070648

16.317972

15.862226

16.677443

16.213743

15.963843

15.633303

16.278334

16.379786

15.931817

16.744478

15.780745

2211.09517

George Robert Smith Mr.

George Robert Smith, Daniel Waldram

M-theory Moduli from Exceptional Complex Structures

40 pages, 1 figure

null

hep-th

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

We continue the analysis of the geometry of generic Minkowski $\mathcal{N} = 1$, $D = 4$ flux compactifications in M-theory using exceptional generalised geometry, including the calculation of the infinitesimal moduli spaces. The backgrounds can be classified into two classes: type-0 and type-3. For type-0, we review how the moduli arise from standard de Rham cohomology classes. We also argue that, under reasonable assumptions, there are no appropriate sources to support compact flux backgrounds for this class and so the only solutions are in fact $G_2$ geometries. For type-3 backgrounds, given a suitable $\partial ' \bar{\partial} ' $-lemma, we show that the moduli can be calculated from a cohomology based on an involutive sub-bundle of the complexified tangent space. Using a simple spectral sequence we prove quite generally that the presence of flux can only reduce the number of moduli compared with the fluxless case. We then use the formalism to calculate the moduli of heterotic M-theory and show they match those of the dual Hull-Strominger system as expected.

[ { "created": "Thu, 17 Nov 2022 13:30:02 GMT", "version": "v1" } ]

2022-11-18

[ [ "Smith", "George Robert", "" ], [ "Waldram", "Daniel", "" ] ]

We continue the analysis of the geometry of generic Minkowski $\mathcal{N} = 1$, $D = 4$ flux compactifications in M-theory using exceptional generalised geometry, including the calculation of the infinitesimal moduli spaces. The backgrounds can be classified into two classes: type-0 and type-3. For type-0, we review how the moduli arise from standard de Rham cohomology classes. We also argue that, under reasonable assumptions, there are no appropriate sources to support compact flux backgrounds for this class and so the only solutions are in fact $G_2$ geometries. For type-3 backgrounds, given a suitable $\partial ' \bar{\partial} ' $-lemma, we show that the moduli can be calculated from a cohomology based on an involutive sub-bundle of the complexified tangent space. Using a simple spectral sequence we prove quite generally that the presence of flux can only reduce the number of moduli compared with the fluxless case. We then use the formalism to calculate the moduli of heterotic M-theory and show they match those of the dual Hull-Strominger system as expected.

9.183177

8.666924

9.473751

8.920183

9.268242

9.800779

9.236384

9.239035

9.148223

10.526824

8.646751

8.700447

9.225361

8.827572

8.77067

8.624474

8.763377

8.801593

8.617118

9.203866

8.707262

1108.0473

Noriaki Ikeda

Noriaki Ikeda and Kozo Koizumi

Current Algebras and QP Manifolds

24 pages, typos correted

null

MISC-2011-14

hep-th math-ph math.DG math.MP math.SG

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

Generalized current algebras introduced by Alekseev and Strobl in two dimensions are reconstructed by a graded manifold and a graded Poisson brackets. We generalize their current algebras to higher dimensions. QP manifolds provide the unified structures of current algebras in any dimension. Current algebras give rise to structures of Leibniz/Loday algebroids, which are characterized by QP structures. Especially, in three dimensions, a current algebra has a structure of a Lie algebroid up to homotopy introduced by Uchino and one of the authors which has a bracket of a generalization of the Courant-Dorfman bracket. Anomaly cancellation conditions are reinterpreted as generalizations of the Dirac structure.

[ { "created": "Tue, 2 Aug 2011 02:45:40 GMT", "version": "v1" }, { "created": "Wed, 2 Nov 2011 10:39:28 GMT", "version": "v2" }, { "created": "Wed, 13 Feb 2013 12:27:01 GMT", "version": "v3" } ]

2013-02-14

[ [ "Ikeda", "Noriaki", "" ], [ "Koizumi", "Kozo", "" ] ]

Generalized current algebras introduced by Alekseev and Strobl in two dimensions are reconstructed by a graded manifold and a graded Poisson brackets. We generalize their current algebras to higher dimensions. QP manifolds provide the unified structures of current algebras in any dimension. Current algebras give rise to structures of Leibniz/Loday algebroids, which are characterized by QP structures. Especially, in three dimensions, a current algebra has a structure of a Lie algebroid up to homotopy introduced by Uchino and one of the authors which has a bracket of a generalization of the Courant-Dorfman bracket. Anomaly cancellation conditions are reinterpreted as generalizations of the Dirac structure.

10.261099

10.356492

12.688014

9.700676

9.414447

10.500064

10.696042

10.318399

9.536929

13.119551

10.041768

9.622085

10.335052

9.768111

9.733833

9.795068

9.647694

9.962268

9.718464

11.011347

9.60544

2201.00105

Benjamin C. Harms

Casey Cartwright, Benjamin Harms, Matthias Kaminski, Ronny Thomale

Topological confinement in Skyrme holography

21 pages, 8 figures, new title, additional author

null

10.1088/1361-6382/ac6c73

null

hep-th cond-mat.str-el hep-ph nucl-th

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

We study phase transitions in five-dimensional Einstein Gravity with a negative cosmological constant, coupled to a Skyrme matter field. These transitions are topological generalizations of the Hawking-Page transition between thermal Anti de Sitter (AdS) spacetime and an AdS black hole. Phases are characterized by a topological number associated with the Skyrme field configuration. Depending on that topological number and on the Skyrme coupling strength, there occur transitions between those phases at two, one, or no value(s) of the temperature. Through the holographic (AdS/CFT) correspondence, these solutions are dual to topologically non-trivial states in a conformal field theory (CFT) with an SU(2)-symmetry, which support either confined or deconfined (quasi-)particles at strong coupling. We compare to similar known phase transitions, and discuss potential applications to confinement in topological phases of condensed matter and the quark-gluon plasma.

[ { "created": "Sat, 1 Jan 2022 03:33:41 GMT", "version": "v1" }, { "created": "Wed, 5 Jan 2022 19:59:38 GMT", "version": "v2" } ]

2022-06-08

[ [ "Cartwright", "Casey", "" ], [ "Harms", "Benjamin", "" ], [ "Kaminski", "Matthias", "" ], [ "Thomale", "Ronny", "" ] ]

We study phase transitions in five-dimensional Einstein Gravity with a negative cosmological constant, coupled to a Skyrme matter field. These transitions are topological generalizations of the Hawking-Page transition between thermal Anti de Sitter (AdS) spacetime and an AdS black hole. Phases are characterized by a topological number associated with the Skyrme field configuration. Depending on that topological number and on the Skyrme coupling strength, there occur transitions between those phases at two, one, or no value(s) of the temperature. Through the holographic (AdS/CFT) correspondence, these solutions are dual to topologically non-trivial states in a conformal field theory (CFT) with an SU(2)-symmetry, which support either confined or deconfined (quasi-)particles at strong coupling. We compare to similar known phase transitions, and discuss potential applications to confinement in topological phases of condensed matter and the quark-gluon plasma.

6.816883

7.024435

7.550943

6.610623

7.398752

6.994382

7.047302

6.967366

7.286498

7.57818

6.896355

6.71001

6.964166

6.681537

6.74881

6.990844

6.974458

6.773695

6.990658

7.04212

6.888776

1606.03104

Sebastian Garcia-Saenz

Angelo Esposito, Sebastian Garcia-Saenz, and Riccardo Penco

First Sound in Holographic Superfluids at Zero Temperature

14 pages. Extended discussions in sections 3 and 4

J. High Energ. Phys. (2016) 2016: 136

10.1007/JHEP12(2016)136

null

hep-th cond-mat.other

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

Within the context of AdS/CFT, the gravity dual of an s-wave superfluid is given by scalar QED on an asymptotically AdS spacetime. While this conclusion is vastly supported by numerical arguments, here we provide an analytical proof that this is indeed the case. Working at zero temperature, we explicitly find the quadratic action for the superfluid phonon at the boundary in an arbitrary number of dimensions and for an arbitrary scalar field potential, recovering the known dispersion relation for conformal first sound.

[ { "created": "Thu, 9 Jun 2016 20:05:33 GMT", "version": "v1" }, { "created": "Thu, 18 Aug 2016 14:27:39 GMT", "version": "v2" }, { "created": "Wed, 28 Dec 2016 15:13:20 GMT", "version": "v3" } ]

2016-12-30

[ [ "Esposito", "Angelo", "" ], [ "Garcia-Saenz", "Sebastian", "" ], [ "Penco", "Riccardo", "" ] ]

Within the context of AdS/CFT, the gravity dual of an s-wave superfluid is given by scalar QED on an asymptotically AdS spacetime. While this conclusion is vastly supported by numerical arguments, here we provide an analytical proof that this is indeed the case. Working at zero temperature, we explicitly find the quadratic action for the superfluid phonon at the boundary in an arbitrary number of dimensions and for an arbitrary scalar field potential, recovering the known dispersion relation for conformal first sound.

11.492359

11.290607

10.668794

10.241465

10.996938

11.384037

11.09796

10.09406

10.176921

12.065507

9.885462

10.775831

10.638536

10.332922

10.416139

10.441998

10.581998

10.359528

10.112656

10.114956

10.241233

hep-th/0005283

Bin Chen

B. Chen, H. Itoyama, T. Matsuo and K. Murakami

Worldsheet and Spacetime Properties of p-p' System with B Field and Noncommutative Geometry

41 pages, 4 figures, Latex; revised version, typos corrected, comment on spacetime picture and eq. (5.8) improved

Nucl.Phys. B593 (2001) 505-544

10.1016/S0550-3213(00)00615-5

OU-HET 345

hep-th

null

We study worldsheet and spacetime properties of the p-p' (p < p') open string system with constant B_{ij} field viewed from the Dp' brane. The description of this system in terms of the CFT with spin and twist fields leads us to consider the renormal ordering procedure from the SL(2,R) invariant vacuum to the oscillator vacuum. We compute the attendant two distinct superspace two-point functions as well as their difference (the subtracted two-point function). These bring us an integral (Koba-Nielsen) representation for the multiparticle tree scattering amplitudes consisting of N-2 vectors and two tachyons. We evaluate them explicitly for the N=3,4 cases. Several novel features are observed which include a momentum dependent multiplicative factor to each external vector leg and the emergence of a symplectic tensor multiplying the polarization vectors. In the zero slope limit, the principal parts of the amplitudes translate into a noncommutative field theory in p'+1 dimensions in which a scalar field decaying exponentially in (p'-p) dimensions and a noncommutative U(1) gauge field interact via the minimal coupling and a new interaction. A large number of nearly massless states noted before are shown to propagate in the t-channel.

[ { "created": "Wed, 31 May 2000 11:51:30 GMT", "version": "v1" }, { "created": "Mon, 12 Jun 2000 13:01:14 GMT", "version": "v2" }, { "created": "Mon, 25 Sep 2000 03:10:16 GMT", "version": "v3" } ]

2009-10-31

[ [ "Chen", "B.", "" ], [ "Itoyama", "H.", "" ], [ "Matsuo", "T.", "" ], [ "Murakami", "K.", "" ] ]

We study worldsheet and spacetime properties of the p-p' (p < p') open string system with constant B_{ij} field viewed from the Dp' brane. The description of this system in terms of the CFT with spin and twist fields leads us to consider the renormal ordering procedure from the SL(2,R) invariant vacuum to the oscillator vacuum. We compute the attendant two distinct superspace two-point functions as well as their difference (the subtracted two-point function). These bring us an integral (Koba-Nielsen) representation for the multiparticle tree scattering amplitudes consisting of N-2 vectors and two tachyons. We evaluate them explicitly for the N=3,4 cases. Several novel features are observed which include a momentum dependent multiplicative factor to each external vector leg and the emergence of a symplectic tensor multiplying the polarization vectors. In the zero slope limit, the principal parts of the amplitudes translate into a noncommutative field theory in p'+1 dimensions in which a scalar field decaying exponentially in (p'-p) dimensions and a noncommutative U(1) gauge field interact via the minimal coupling and a new interaction. A large number of nearly massless states noted before are shown to propagate in the t-channel.

15.171639

15.016347

17.993042

14.856775

15.937125

16.46834

14.879828

15.527044

15.097002

18.731998

15.028631

14.877601

16.881939

15.014908

14.693128

15.277896

15.198738

15.209743

15.182835

16.516197

15.085743

2204.09336

Paul K. Townsend

Luca Mezincescu and Paul K. Townsend

On chiral bosons in 2D and 6D

24 pages, minor corrections and further additional references in v3

null

10.1007/JHEP07(2022)142

null

hep-th

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

In the Hamiltonian formulation of chiral 2k-form electrodynamics, the 2k-form potential on the (4k+1)-space is defined up to the addition of either (i) a closed $2k$-form or (ii) an exact 2k-form, depending on the choice of chirality constraint. Case (i) is realized by the Floreanini-Jackiw 2D chiral boson (for k=0) and its Henneaux-Teitelboim generalisation to k>0. For all k, but focusing on the 6D case, we present a simple Lorentz-invariant Hamiltonian model that realizes case (ii), and we derive it from Siegel's manifestly Lorentz invariant Lagrangian formulation.

[ { "created": "Wed, 20 Apr 2022 09:12:39 GMT", "version": "v1" }, { "created": "Tue, 26 Apr 2022 20:49:46 GMT", "version": "v2" }, { "created": "Thu, 30 Jun 2022 12:02:09 GMT", "version": "v3" } ]

2022-08-10

[ [ "Mezincescu", "Luca", "" ], [ "Townsend", "Paul K.", "" ] ]

In the Hamiltonian formulation of chiral 2k-form electrodynamics, the 2k-form potential on the (4k+1)-space is defined up to the addition of either (i) a closed $2k$-form or (ii) an exact 2k-form, depending on the choice of chirality constraint. Case (i) is realized by the Floreanini-Jackiw 2D chiral boson (for k=0) and its Henneaux-Teitelboim generalisation to k>0. For all k, but focusing on the 6D case, we present a simple Lorentz-invariant Hamiltonian model that realizes case (ii), and we derive it from Siegel's manifestly Lorentz invariant Lagrangian formulation.

7.716061

7.19995

7.865694

7.071959

8.239185

7.856392

7.584827

7.168058

7.191475

8.594792

6.915272

6.7901

7.176604

6.957422

7.203433

7.150485

7.056785

6.85988

7.254848

7.374339

7.117837

2207.03468

Gerben Oling

Stefano Baiguera, Gerben Oling, Watse Sybesma, Benjamin T. S{\o}gaard

Conformal Carroll Scalars with Boosts

29+6 pages, two figures; v2: minor changes, added references, v3: expanded discussion of dimensional reduction, minor changes, one reference added

SciPost Phys. 14, 086 (2023)

10.21468/SciPostPhys.14.4.086

NORDITA 2022-047

hep-th

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

We construct two distinct actions for scalar fields that are invariant under local Carroll boosts and Weyl transformations. Conformal Carroll field theories were recently argued to be related to the celestial holography description of asymptotically flat spacetimes. However, only few explicit examples of such theories are known, and they lack local Carroll boost symmetry on a generic curved background. We derive two types of conformal Carroll scalar actions with boost symmetry on a curved background in any dimension and compute their energy-momentum tensors, which are traceless. In the first type of theories, time derivatives dominate and spatial derivatives are suppressed. In the second type, spatial derivatives dominate, and constraints are present to ensure local boost invariance. By integrating out these constraints, we show that the spatial conformal Carroll theories can be reduced to lower-dimensional Euclidean CFTs, which is reminiscent of the embedding space construction.

[ { "created": "Thu, 7 Jul 2022 17:50:00 GMT", "version": "v1" }, { "created": "Thu, 15 Sep 2022 15:29:26 GMT", "version": "v2" }, { "created": "Thu, 15 Dec 2022 13:30:08 GMT", "version": "v3" } ]

2023-04-26

[ [ "Baiguera", "Stefano", "" ], [ "Oling", "Gerben", "" ], [ "Sybesma", "Watse", "" ], [ "Søgaard", "Benjamin T.", "" ] ]

We construct two distinct actions for scalar fields that are invariant under local Carroll boosts and Weyl transformations. Conformal Carroll field theories were recently argued to be related to the celestial holography description of asymptotically flat spacetimes. However, only few explicit examples of such theories are known, and they lack local Carroll boost symmetry on a generic curved background. We derive two types of conformal Carroll scalar actions with boost symmetry on a curved background in any dimension and compute their energy-momentum tensors, which are traceless. In the first type of theories, time derivatives dominate and spatial derivatives are suppressed. In the second type, spatial derivatives dominate, and constraints are present to ensure local boost invariance. By integrating out these constraints, we show that the spatial conformal Carroll theories can be reduced to lower-dimensional Euclidean CFTs, which is reminiscent of the embedding space construction.

9.72096

8.691527

9.943541

8.596726

8.72648

8.652571

8.591037

9.043588

8.487654

11.140841

8.587054

8.669002

9.208106

8.770655

8.840719

8.861057

9.073439

8.716241

8.84446

9.418628

8.689449

hep-th/0701016

Yifu Cai

Yi-fu Cai, Mingzhe Li, Jian-Xin Lu, Yun-Song Piao, Taotao Qiu, and Xinmin Zhang

A String-Inspired Quintom Model Of Dark Energy

6 pages, 4 figures, accepted by PLB

Phys.Lett.B651:1-7,2007

10.1016/j.physletb.2007.05.056

null

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

null

We propose in this paper a quintom model of dark energy with a single scalar field $\phi$ given by the lagrangian ${\cal L}=-V(\phi)\sqrt{1-\alpha^\prime\nabla_{\mu}\phi\nabla^{\mu}\phi +\beta^\prime \phi\Box\phi}$. In the limit of $\beta^\prime\to$0 our model reduces to the effective low energy lagrangian of tachyon considered in the literature. We study the cosmological evolution of this model, and show explicitly the behaviors of the equation of state crossing the cosmological constant boundary.

[ { "created": "Tue, 2 Jan 2007 17:05:16 GMT", "version": "v1" }, { "created": "Mon, 8 Jan 2007 02:59:39 GMT", "version": "v2" }, { "created": "Wed, 23 May 2007 11:52:23 GMT", "version": "v3" } ]

2008-11-26

[ [ "Cai", "Yi-fu", "" ], [ "Li", "Mingzhe", "" ], [ "Lu", "Jian-Xin", "" ], [ "Piao", "Yun-Song", "" ], [ "Qiu", "Taotao", "" ], [ "Zhang", "Xinmin", "" ] ]

We propose in this paper a quintom model of dark energy with a single scalar field $\phi$ given by the lagrangian ${\cal L}=-V(\phi)\sqrt{1-\alpha^\prime\nabla_{\mu}\phi\nabla^{\mu}\phi +\beta^\prime \phi\Box\phi}$. In the limit of $\beta^\prime\to$0 our model reduces to the effective low energy lagrangian of tachyon considered in the literature. We study the cosmological evolution of this model, and show explicitly the behaviors of the equation of state crossing the cosmological constant boundary.

5.225413

5.286356

4.785564

4.582131

5.015281

5.187225

5.466289

4.996239

4.98231

4.893081

4.778465

4.98234

5.106274

4.842593

5.073045

5.04749

5.172266

4.910225

5.081538

5.089034

5.239357

hep-th/9903111

Henning Samtleben

K. Koepsell, H. Nicolai, H. Samtleben

On the Yangian Y(e_8) quantum symmetry of maximal supergravity in two dimensions

21 pages, LaTeX2e

JHEP 9904:023,1999

10.1088/1126-6708/1999/04/023

AEI-103, LPTENS-99/08

hep-th

null

We present the algebraic framework for the quantization of the classical bosonic charge algebra of maximally extended (N=16) supergravity in two dimensions, thereby taking the first steps towards an exact quantization of this model. At the core of our construction is the Yangian algebra $Y(e_8)$ whose RTT presentation we discuss in detail. The full symmetry algebra is a centrally extended twisted version of the Yangian double $DY(e_8)_c$. We show that there exists only one special value of the central charge for which the quantum algebra admits an ideal by which the algebra can be divided so as to consistently reproduce the classical coset structure $E_{8(8)}/SO(16)$ in the limit $\hbar\to 0$.

[ { "created": "Fri, 12 Mar 1999 08:01:05 GMT", "version": "v1" } ]

2010-02-03

[ [ "Koepsell", "K.", "" ], [ "Nicolai", "H.", "" ], [ "Samtleben", "H.", "" ] ]

We present the algebraic framework for the quantization of the classical bosonic charge algebra of maximally extended (N=16) supergravity in two dimensions, thereby taking the first steps towards an exact quantization of this model. At the core of our construction is the Yangian algebra $Y(e_8)$ whose RTT presentation we discuss in detail. The full symmetry algebra is a centrally extended twisted version of the Yangian double $DY(e_8)_c$. We show that there exists only one special value of the central charge for which the quantum algebra admits an ideal by which the algebra can be divided so as to consistently reproduce the classical coset structure $E_{8(8)}/SO(16)$ in the limit $\hbar\to 0$.

8.550183

7.466115

9.734249

7.679099

8.071952

8.439076

7.963818

7.872922

7.708789

10.035363

7.795112

7.907568

8.029184

7.723101

7.671617

7.710395

7.810307

7.682168

7.678583

8.596901

7.751862

1206.0468

Matthew Dodelson

Transition Amplitudes in de Sitter Space

15 pages, as published in JHEP, with clarifications and references added

null

10.1007/JHEP08(2012)011

null

hep-th

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

Maldacena has shown that the wavefunction of the universe in de Sitter space can be viewed as the partition function of a conformal field theory. In this paper, we investigate this approach to the dS/CFT correspondence in further detail. We emphasize that massive bulk fields are dual to two primary operators on the boundary, which encode information about the two independent behaviors of bulk expectation values at late times. An operator statement of the duality is given, and it is shown that the resulting boundary correlators can be interpreted as transition amplitudes from the Bunch-Davies vacuum to an excited state in the infinite future. We also explain how these scattering amplitudes can be used to compute late-time Bunch-Davies expectation values, and comment on the effects of anomalies in the dual CFT on such expectation values.

[ { "created": "Sun, 3 Jun 2012 17:15:19 GMT", "version": "v1" }, { "created": "Mon, 11 Jun 2012 19:36:58 GMT", "version": "v2" }, { "created": "Wed, 25 Jul 2012 01:04:54 GMT", "version": "v3" }, { "created": "Fri, 24 Aug 2012 21:02:54 GMT", "version": "v4" } ]

2015-06-05

[ [ "Dodelson", "Matthew", "" ] ]

Maldacena has shown that the wavefunction of the universe in de Sitter space can be viewed as the partition function of a conformal field theory. In this paper, we investigate this approach to the dS/CFT correspondence in further detail. We emphasize that massive bulk fields are dual to two primary operators on the boundary, which encode information about the two independent behaviors of bulk expectation values at late times. An operator statement of the duality is given, and it is shown that the resulting boundary correlators can be interpreted as transition amplitudes from the Bunch-Davies vacuum to an excited state in the infinite future. We also explain how these scattering amplitudes can be used to compute late-time Bunch-Davies expectation values, and comment on the effects of anomalies in the dual CFT on such expectation values.

7.425208

7.464113

7.297935

7.218859

7.332191

7.856379

7.528425

7.058149

7.492087

8.129898

7.397466

6.772642

7.150074

6.700216

6.781331

6.611529

6.772366

6.833001

6.624911

7.208127

6.845597

hep-th/9707050

Pierre Mathieu

Pierre Mathieu and Gerard Watts

Probing integrable perturbations of conformal theories using singular vectors II: N=1 superconformal theories

30 pages, Latex2e (rotating.sty,amssymb.sty,a4wide.sty)

Nucl.Phys. B510 (1998) 577-607

10.1016/S0550-3213(97)00704-9

LAVAL-PHY-97-23 and KCL-MTH-97-41

hep-th

null

In this work we pursue the singular-vector analysis of the integrable perturbations of conformal theories that was initiated in hep-th/9603088. Here we consider the detailed study of the N=1 superconformal theory and show that all integrable perturbations can be identified from a simple singular-vector argument. We identify these perturbations as theories based on affine Lie superalgebras and show that the results we obtain relating two perturbations can be understood by the extension of affine Toda duality to these theories with fermions. We also discuss how this duality is broken in specific cases.

[ { "created": "Thu, 3 Jul 1997 21:17:30 GMT", "version": "v1" } ]

2009-10-30

[ [ "Mathieu", "Pierre", "" ], [ "Watts", "Gerard", "" ] ]

In this work we pursue the singular-vector analysis of the integrable perturbations of conformal theories that was initiated in hep-th/9603088. Here we consider the detailed study of the N=1 superconformal theory and show that all integrable perturbations can be identified from a simple singular-vector argument. We identify these perturbations as theories based on affine Lie superalgebras and show that the results we obtain relating two perturbations can be understood by the extension of affine Toda duality to these theories with fermions. We also discuss how this duality is broken in specific cases.

10.984557

9.705115

11.253263

9.163958

9.804942

10.450187

9.651011

9.70654

9.126532

11.253

9.418359

9.752397

9.76795

9.337273

9.74143

9.585082

9.716705

9.759186

9.322023

9.992973

9.619012

1710.10953

Omer Gurdogan

James Drummond, Jack Foster, Omer Gurdogan

Cluster adjacency properties of scattering amplitudes

6 pages, 3 figures. Symbols of integrals presented in four ancillary files, as detailed in README.txt

Phys. Rev. Lett. 120, 161601 (2018)

10.1103/PhysRevLett.120.161601

null

hep-th

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

We conjecture a new set of analytic relations for scattering amplitudes in planar N=4 super Yang-Mills theory. They generalise the Steinmann relations and are expressed in terms of the cluster algebras associated to Gr(4,n). In terms of the symbol, they dictate which letters can appear consecutively. We study heptagon amplitudes and integrals in detail and present symbols for previously unknown integrals at two and three loops which support our conjecture.

[ { "created": "Mon, 30 Oct 2017 14:12:12 GMT", "version": "v1" } ]

2018-04-25

[ [ "Drummond", "James", "" ], [ "Foster", "Jack", "" ], [ "Gurdogan", "Omer", "" ] ]

We conjecture a new set of analytic relations for scattering amplitudes in planar N=4 super Yang-Mills theory. They generalise the Steinmann relations and are expressed in terms of the cluster algebras associated to Gr(4,n). In terms of the symbol, they dictate which letters can appear consecutively. We study heptagon amplitudes and integrals in detail and present symbols for previously unknown integrals at two and three loops which support our conjecture.

8.869817

7.1978

10.039097

7.803822

7.225143

8.059409

9.357975

7.458732

7.347

9.611752

8.4489

7.831659

9.292116

8.044141

8.253033

8.079429

8.222892

7.491199

7.88468

8.893787

7.67542

0807.1444

Pang Yi

Yi Pang, Tower Wang

From N M2's to N D2's

11 pages, 1 printable figure, close to the version published in PhysRevD

Phys.Rev.D78:125007,2008

10.1103/PhysRevD.78.125007

USTC-ICTS-08-12

hep-th

http://creativecommons.org/licenses/by/3.0/

In this short note, we reduce the N=6, U(N)xU(N) Chern-Simons gauge theories to N=8, U(N) Yang-Mills gauge theories. This process corresponds to recovering the world-volume theory of N D2-branes from that of N M2-branes in an intermediate energy range. The supersymmetries are enhanced because in this limit the branes localize far away from the orbifold singularity. Our main scheme is exactly in accordance with Mukhi and Papageorgakis's earlier work, although the Higgs mechanism becomes trickier in the present case. We also speculate on applying the scheme to a large class of new Bagger-Lambert models more generally.

[ { "created": "Wed, 9 Jul 2008 13:18:08 GMT", "version": "v1" }, { "created": "Wed, 30 Jul 2008 06:37:09 GMT", "version": "v2" }, { "created": "Sun, 31 Aug 2008 07:28:39 GMT", "version": "v3" }, { "created": "Wed, 6 May 2009 15:14:12 GMT", "version": "v4" } ]

2009-05-06

[ [ "Pang", "Yi", "" ], [ "Wang", "Tower", "" ] ]

In this short note, we reduce the N=6, U(N)xU(N) Chern-Simons gauge theories to N=8, U(N) Yang-Mills gauge theories. This process corresponds to recovering the world-volume theory of N D2-branes from that of N M2-branes in an intermediate energy range. The supersymmetries are enhanced because in this limit the branes localize far away from the orbifold singularity. Our main scheme is exactly in accordance with Mukhi and Papageorgakis's earlier work, although the Higgs mechanism becomes trickier in the present case. We also speculate on applying the scheme to a large class of new Bagger-Lambert models more generally.

11.69126

10.092507

13.416998

9.54769

9.896846

10.064152

10.139299

9.855145

9.840823

12.275437

10.201639

10.173507

11.287621

9.972608

9.906709

9.678271

10.114252

10.295653

10.220514

11.188148

10.137767

0710.4249

Alexander Burinskii

Complex Kerr Geometry, Twistors and the Dirac Electron

12 pages, 3 figs. Talk at the conference QFEXT'07

J.Phys.A41:164069,2008

10.1088/1751-8113/41/16/164069

null

hep-th gr-qc quant-ph

null

The Kerr-Newman spinning particle displays some remarkable relations to the Dirac electron and has a reach spinor structure which is based on a twistorial description of the Kerr congruence determined by the Kerr theorem. We consider the relation between this spinor-twistorial structure and spinors of the Dirac equation, and show that the Dirac equation may naturally be incorporated into Kerr-Schild formalism as a master equation controlling the twistorial structure of Kerr geometry. As a result, the Dirac electron acquires an extended space-time structure having clear coordinate description with natural incorporation of a gravitational field. The relation between the Dirac wave function and Kerr geometry is realized via a chain of links: {\it Dirac wave function $ \Rightarrow $ Complex Kerr-Newman Source $ \Rightarrow $ Kerr Theorem $ \Rightarrow $ Real Kerr geometry.} As a result, the wave function acquires the role of an ``order parameter'' which controls spin, dynamics, and twistorial polarization of Kerr-Newman space-time.

[ { "created": "Tue, 23 Oct 2007 14:16:30 GMT", "version": "v1" }, { "created": "Tue, 11 Mar 2008 15:09:42 GMT", "version": "v2" } ]

2008-11-26

[ [ "Burinskii", "Alexander", "" ] ]

The Kerr-Newman spinning particle displays some remarkable relations to the Dirac electron and has a reach spinor structure which is based on a twistorial description of the Kerr congruence determined by the Kerr theorem. We consider the relation between this spinor-twistorial structure and spinors of the Dirac equation, and show that the Dirac equation may naturally be incorporated into Kerr-Schild formalism as a master equation controlling the twistorial structure of Kerr geometry. As a result, the Dirac electron acquires an extended space-time structure having clear coordinate description with natural incorporation of a gravitational field. The relation between the Dirac wave function and Kerr geometry is realized via a chain of links: {\it Dirac wave function $ \Rightarrow $ Complex Kerr-Newman Source $ \Rightarrow $ Kerr Theorem $ \Rightarrow $ Real Kerr geometry.} As a result, the wave function acquires the role of an ``order parameter'' which controls spin, dynamics, and twistorial polarization of Kerr-Newman space-time.

12.645258

11.028859

12.251261

11.264688

11.58825

11.274164

12.23403

10.943548

11.222097

12.460668

11.385644

11.639602

12.292536

11.953374

11.907785

11.627295

12.002633

11.790779

11.846473

12.815362

11.263117

0909.0087

Pramod Shukla

Aalok Misra, Pramod Shukla

Soft SUSY Breaking Parameters and RG Running of Squark and Slepton Masses in Large Volume Swiss Cheese Compactifications

v2:10 pages, LaTeX; change in title and new material added on particle spectrum and FCNC constraints; to appear in PLB

Phys.Lett.B685:347-352,2010

10.1016/j.physletb.2010.02.011

null

hep-th hep-ph

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

We consider type IIB large volume compactifications involving orientifolds of the Swiss-Cheese Calabi-Yau WCP^4[1; 1; 1; 6; 9] with a single mobile space-time filling D3-brane and stacks of D7-branes wrapping the "big" divisor (as opposed to the "small" divisor usually done in the literature thus far) as well as supporting D7-brane fluxes. After reviewing our proposal of [1] for resolving a long-standing tension between large volume cosmology and phenomenology pertaining to obtaining a 10^12 GeV gravitino in the inflationary era and a TeV gravitino in the present era, and summarizing our results of [1] on soft supersymmetry breaking terms and open-string moduli masses, we discuss the one-loop RG running of the squark and slepton masses in mSUGRA-like models (using the running of the gaugino masses) to the EW scale in the large volume limit. Phenomenological constraints and some of the calculated soft SUSY parameters identify the D7-brane Wilson line moduli as the first two generations/families of squarks and sleptons and the D3-brane (restricted to the big divisor) position moduli as the two Higgses for MSSM-like models at TeV scale. We also discuss how the obtained open-string/matter moduli make it easier to impose FCNC constraints, as well as RG flow of off-diagonal squark mass(-squared) matrix elements.

[ { "created": "Tue, 1 Sep 2009 04:46:34 GMT", "version": "v1" }, { "created": "Wed, 3 Feb 2010 05:44:40 GMT", "version": "v2" } ]

2014-11-20

[ [ "Misra", "Aalok", "" ], [ "Shukla", "Pramod", "" ] ]

We consider type IIB large volume compactifications involving orientifolds of the Swiss-Cheese Calabi-Yau WCP^4[1; 1; 1; 6; 9] with a single mobile space-time filling D3-brane and stacks of D7-branes wrapping the "big" divisor (as opposed to the "small" divisor usually done in the literature thus far) as well as supporting D7-brane fluxes. After reviewing our proposal of [1] for resolving a long-standing tension between large volume cosmology and phenomenology pertaining to obtaining a 10^12 GeV gravitino in the inflationary era and a TeV gravitino in the present era, and summarizing our results of [1] on soft supersymmetry breaking terms and open-string moduli masses, we discuss the one-loop RG running of the squark and slepton masses in mSUGRA-like models (using the running of the gaugino masses) to the EW scale in the large volume limit. Phenomenological constraints and some of the calculated soft SUSY parameters identify the D7-brane Wilson line moduli as the first two generations/families of squarks and sleptons and the D3-brane (restricted to the big divisor) position moduli as the two Higgses for MSSM-like models at TeV scale. We also discuss how the obtained open-string/matter moduli make it easier to impose FCNC constraints, as well as RG flow of off-diagonal squark mass(-squared) matrix elements.

8.490255

7.963614

9.584835

8.424787

8.411158

8.544815

8.399662

8.380333

8.438567

10.725591

8.145363

8.782151

8.677089

8.491926

8.362082

8.685285

8.462351

8.628492

8.590022

8.96262

8.327847

1103.1381

Pedro Pina Avelino

L. Sousa, P.P. Avelino

p-brane dynamics in (N+1)-dimensional FRW universes: a unified framework

6 pages

Phys.Rev.D83:103507,2011

10.1103/PhysRevD.83.103507

null

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

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

We develop a velocity-dependent one-scale model describing p-brane dynamics in flat homogeneous and isotropic backgrounds in a unified framework. We find the corresponding scaling laws in frictionless and friction dominated regimes considering both expanding and collapsing phases.

[ { "created": "Mon, 7 Mar 2011 21:00:02 GMT", "version": "v1" } ]

2011-05-13

[ [ "Sousa", "L.", "" ], [ "Avelino", "P. P.", "" ] ]

We develop a velocity-dependent one-scale model describing p-brane dynamics in flat homogeneous and isotropic backgrounds in a unified framework. We find the corresponding scaling laws in frictionless and friction dominated regimes considering both expanding and collapsing phases.

24.539927

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18.120216

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19.191397

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21.061958

24.343178

20.802427

23.828804

20.764704

22.337864

21.839817

20.188148

21.162432

22.942347

1109.2278

S. E. Korenblit

V.V. Semenov and S.E. Korenblit

Finite temperature Thirring model: from linearization through canonical transformations to correct normal form of thermofield solution

53 pages

null

hep-th

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

It is shown that exact solvability of the finite temperature massless Thirring model, as well as of its zero temperature case, in canonical quantization scheme originates from the intrinsic hidden exact linearizability of Heisenberg equations by means of dynamical mapping onto the Schr\"odinger physical fields. The normal forms of different one- and two- parametric (thermo) field's solutions are obtained. They are connected with each other by making use of generalized conformal shift transformations. The sequential use of bosonic canonical transformations provides a correct renormalization, anticommutation and symmetry properties of these solutions. The dynamical role of inequivalent representations of 1+1-D free massless Dirac fields, that are induced by inequivalent representations of 1+1-D free massless (pseudo) scalar field, and the appearance of Schwinger terms are elucidated. The inequivalent vacuum is established as coherent state for SU(1,1) group. A new alternative sources of superselection rules are shown. A generalization of Ojima tilde conjugation rules is suggested, which reveals the properties of coherent state for SU(2) group for the fermionic thermal vacuum state and is useful for the thermofield bosonization. The notions of "hot" and "cold" thermofields are introduced to distinguish different thermofield representations giving the correct normal form of thermofield solution. The weak sense of definition of zero and finite temperature operator bosonization rules in the framework of thermofield dynamics is demonstrated.

[ { "created": "Sun, 11 Sep 2011 04:26:52 GMT", "version": "v1" } ]

2011-09-13

[ [ "Semenov", "V. V.", "" ], [ "Korenblit", "S. E.", "" ] ]

It is shown that exact solvability of the finite temperature massless Thirring model, as well as of its zero temperature case, in canonical quantization scheme originates from the intrinsic hidden exact linearizability of Heisenberg equations by means of dynamical mapping onto the Schr\"odinger physical fields. The normal forms of different one- and two- parametric (thermo) field's solutions are obtained. They are connected with each other by making use of generalized conformal shift transformations. The sequential use of bosonic canonical transformations provides a correct renormalization, anticommutation and symmetry properties of these solutions. The dynamical role of inequivalent representations of 1+1-D free massless Dirac fields, that are induced by inequivalent representations of 1+1-D free massless (pseudo) scalar field, and the appearance of Schwinger terms are elucidated. The inequivalent vacuum is established as coherent state for SU(1,1) group. A new alternative sources of superselection rules are shown. A generalization of Ojima tilde conjugation rules is suggested, which reveals the properties of coherent state for SU(2) group for the fermionic thermal vacuum state and is useful for the thermofield bosonization. The notions of "hot" and "cold" thermofields are introduced to distinguish different thermofield representations giving the correct normal form of thermofield solution. The weak sense of definition of zero and finite temperature operator bosonization rules in the framework of thermofield dynamics is demonstrated.

14.780931

14.03689

15.438481

13.877746

15.279086

14.310297

14.550292

13.487415

13.735545

16.718075

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14.451329

14.288879

14.099252

14.333342

14.2716

13.995803

13.974607

14.736847

14.286713

hep-th/0405114

Nelson R. F. Braga

Ricardo Amorim, Henrique Boschi-Filho and Nelson R. F. Braga

Remarks on gauge fixing and BRST quantization of noncommutative gauge theories

8 pages, no figures. In this revised version, we included the explicit Seiberg Witten maps for antighost and auxiliary fields. We used this expressions to show that it is not possible to relate the Lorentz gauge in noncommutative and ordinary YM theories by the SW map, as claimed in the previous version

Braz.J.Phys.35:645-651,2005

10.1590/S0103-97332005000400011

null

hep-th

null

We consider the BRST gauge fixing procedure of the noncommutative Yang-Mills theory and of the gauged U(N) Proca model. An extended Seiberg-Witten map involving ghosts, antighosts and auxiliary fields for non Abelian gauge theories is studied. We find that the extended map behaves differently for these models. For the Yang-Mills theory in the Lorentz gauge it was not possible to find a map that relates the gauge conditions in the noncommutative and ordinary theories. For the gauged Proca model we found a particular map relating the unitary gauge fixings in both formulations.

[ { "created": "Wed, 12 May 2004 18:46:40 GMT", "version": "v1" }, { "created": "Thu, 5 Aug 2004 19:33:34 GMT", "version": "v2" } ]

2015-06-26

[ [ "Amorim", "Ricardo", "" ], [ "Boschi-Filho", "Henrique", "" ], [ "Braga", "Nelson R. F.", "" ] ]

We consider the BRST gauge fixing procedure of the noncommutative Yang-Mills theory and of the gauged U(N) Proca model. An extended Seiberg-Witten map involving ghosts, antighosts and auxiliary fields for non Abelian gauge theories is studied. We find that the extended map behaves differently for these models. For the Yang-Mills theory in the Lorentz gauge it was not possible to find a map that relates the gauge conditions in the noncommutative and ordinary theories. For the gauged Proca model we found a particular map relating the unitary gauge fixings in both formulations.

7.576773

7.099173

7.948663

7.126145

7.289527

6.95336

7.104965

6.595526

6.699206

8.773568

7.108582

7.382292

7.58157

7.195374

7.337813

7.050565

6.973963

7.368268

7.353484

7.309429

7.084766

1006.4369

Jan Gutowski

J. Gutowski and G. Papadopoulos

Topology of supersymmetric N=1, D=4 supergravity horizons

17 pages, latex. Alterations to introduction and section 3.3

JHEP 1011:114,2010

10.1007/JHEP11(2010)114

null

hep-th gr-qc

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

All supersymmetric N=1, D=4 supergravity horizons have toroidal or spherical topology, irrespective of whether the black hole preserves any supersymmetry.

[ { "created": "Tue, 22 Jun 2010 20:27:00 GMT", "version": "v1" }, { "created": "Thu, 23 Sep 2010 11:39:08 GMT", "version": "v2" }, { "created": "Tue, 23 Nov 2010 14:13:23 GMT", "version": "v3" } ]

2010-11-30

[ [ "Gutowski", "J.", "" ], [ "Papadopoulos", "G.", "" ] ]

All supersymmetric N=1, D=4 supergravity horizons have toroidal or spherical topology, irrespective of whether the black hole preserves any supersymmetry.

18.558928

15.136069

19.881752

13.827983

14.819026

14.243934

18.241842

14.818447

16.852776

23.663212

14.218937

11.712972

15.721319

13.370282

12.295174

13.178579

12.813004

13.137117

13.977225

16.567419

13.721216

hep-th/9804053

Johanna Erdmenger

Johanna Erdmenger, Christian Rupp and Klaus Sibold

Conformal Transformation Properties of the Supercurrent in Four Dimensional Supersymmetric Theories

35 pages, AMS-LaTex, four ps figures. Two remarks added, misprints corrected. To be published in Nuclear Physics B

Nucl.Phys. B530 (1998) 501-533

10.1016/S0550-3213(98)00476-3

NTZ-7/98

hep-th

null

We investigate the superconformal transformation properties of Green functions with one or more insertions of the supercurrent in N=1 supersymmetric quantum field theories. These Green functions are conveniently obtained by coupling the supercurrent and its trace to a classical supergravity background. We derive flat space superconformal Ward identities from diffeomorphisms and Weyl transformations on curved superspace. For the classification of potential quantum superconformal anomalies in the massless Wess-Zumino model on curved superspace a perturbative approach is pursued, using the BPHZ scheme for renormalisation. By deriving a local Callan-Symanzik equation the usual dilatational anomalies are identified and it is shown that no further superconformal anomalies involving the dynamical fields are present.

[ { "created": "Tue, 7 Apr 1998 14:17:13 GMT", "version": "v1" }, { "created": "Tue, 14 Jul 1998 09:17:12 GMT", "version": "v2" } ]

2009-10-31

[ [ "Erdmenger", "Johanna", "" ], [ "Rupp", "Christian", "" ], [ "Sibold", "Klaus", "" ] ]

We investigate the superconformal transformation properties of Green functions with one or more insertions of the supercurrent in N=1 supersymmetric quantum field theories. These Green functions are conveniently obtained by coupling the supercurrent and its trace to a classical supergravity background. We derive flat space superconformal Ward identities from diffeomorphisms and Weyl transformations on curved superspace. For the classification of potential quantum superconformal anomalies in the massless Wess-Zumino model on curved superspace a perturbative approach is pursued, using the BPHZ scheme for renormalisation. By deriving a local Callan-Symanzik equation the usual dilatational anomalies are identified and it is shown that no further superconformal anomalies involving the dynamical fields are present.

8.577669

8.806268

9.312615

8.000923

8.472466

8.822327

9.019866

8.362755

8.156839

10.184857

8.173869

8.504042

8.557895

8.423895

8.454516

8.207878

8.262321

8.270441

8.620439

8.546461

8.266776

hep-th/0510115

Paul K. Townsend

Julian Sonner and Paul K. Townsend

Dilaton Domain Walls and Dynamical Systems

30 pp, 11 figs, significant revision of original. Minor additional corrections in version to appear in journal

Class.Quant.Grav.23:441-464,2006

10.1088/0264-9381/23/2/010

DAMTP-2005-94

hep-th

null

Domain wall solutions of $d$-dimensional gravity coupled to a dilaton field $\sigma$ with an exponential potential $\Lambda e^{-\lambda\sigma}$ are shown to be governed by an autonomous dynamical system, with a transcritical bifurcation as a function of the parameter $\lambda$ when $\Lambda<0$. All phase-plane trajectories are found exactly for $\lambda=0$, including separatrices corresponding to walls that interpolate between $adS_d$ and $adS_{d-1} \times\bR$, and the exact solution is found for $d=3$. Janus-type solutions are interpreted as marginal bound states of these ``separatrix walls''. All flat domain wall solutions, which are given exactly for any $\lambda$, are shown to be supersymmetric for some superpotential $W$, determined by the solution.

[ { "created": "Fri, 14 Oct 2005 13:51:36 GMT", "version": "v1" }, { "created": "Thu, 20 Oct 2005 15:03:11 GMT", "version": "v2" }, { "created": "Tue, 1 Nov 2005 14:58:36 GMT", "version": "v3" }, { "created": "Thu, 24 Nov 2005 15:37:32 GMT", "version": "v4" } ]

2010-12-03

[ [ "Sonner", "Julian", "" ], [ "Townsend", "Paul K.", "" ] ]

Domain wall solutions of $d$-dimensional gravity coupled to a dilaton field $\sigma$ with an exponential potential $\Lambda e^{-\lambda\sigma}$ are shown to be governed by an autonomous dynamical system, with a transcritical bifurcation as a function of the parameter $\lambda$ when $\Lambda<0$. All phase-plane trajectories are found exactly for $\lambda=0$, including separatrices corresponding to walls that interpolate between $adS_d$ and $adS_{d-1} \times\bR$, and the exact solution is found for $d=3$. Janus-type solutions are interpreted as marginal bound states of these ``separatrix walls''. All flat domain wall solutions, which are given exactly for any $\lambda$, are shown to be supersymmetric for some superpotential $W$, determined by the solution.

9.702709

8.583725

9.367277

7.752262

8.281247

8.140969

8.694399

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8.342807

10.33103

7.696893

8.050997

8.563584

8.222045

8.326221

8.184768

8.104915

8.265272

8.19602

8.926637

8.199479

0908.1272

Da-Wei Pang

R^2 Corrections to Asymptotically Lifshitz Spacetimes

24 pages, Latex, typos fixed, accepted by JHEP

JHEP 0910:031,2009

10.1088/1126-6708/2009/10/031

CQUeST-2009-0274

hep-th

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

We study $R^{2}$ corrections to five-dimensional asymptotically Lifshitz spacetimes by adding Gauss-Bonnet terms in the effective action. For the zero-temperature backgrounds we obtain exact solutions in both pure Gauss-Bonnet gravity and Gauss-Bonnet gravity with non-trivial matter. The dynamical exponent undergoes finite renormalization in the latter case. For the finite-temperature backgrounds we obtain black brane solutions perturbatively and calculate the ratio of shear viscosity to entropy density $\eta/s$. The KSS bound is still violated but unlike the relativistic counterparts, the causality of the boundary field theory cannot be taken as a constraint.

[ { "created": "Mon, 10 Aug 2009 06:16:28 GMT", "version": "v1" }, { "created": "Sun, 11 Oct 2009 01:30:23 GMT", "version": "v2" } ]

2009-10-29

[ [ "Pang", "Da-Wei", "" ] ]

We study $R^{2}$ corrections to five-dimensional asymptotically Lifshitz spacetimes by adding Gauss-Bonnet terms in the effective action. For the zero-temperature backgrounds we obtain exact solutions in both pure Gauss-Bonnet gravity and Gauss-Bonnet gravity with non-trivial matter. The dynamical exponent undergoes finite renormalization in the latter case. For the finite-temperature backgrounds we obtain black brane solutions perturbatively and calculate the ratio of shear viscosity to entropy density $\eta/s$. The KSS bound is still violated but unlike the relativistic counterparts, the causality of the boundary field theory cannot be taken as a constraint.

9.046138

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6.940175

7.671456

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7.637679

2203.14351

V. Parameswaran Nair

V.P. Nair

Entanglement Entropy and Matter-Gravity Couplings for Fuzzy Geometry

13 pages; Talk presented at eh workshop on "Quantum Geometry,Field Theory and Gravity", Corfu Summer Institute 2021

null

hep-th cond-mat.str-el

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

In this talk I discuss some features of the entanglement entropy for fuzzy geometry, focusing on its dependence on the background fields and the spin connection of the emergent continuous manifold in a large $N$ limit. Using the Landau-Hall paradigm for fuzzy geometry, this is argued to be given by a generalized Chern-Simons form, making a point of connection with the thermodynamic view of gravity. Matter-gravity couplings are also considered in the same framework; they naturally lead to certain specific nonminimal couplings involving powers of the curvature.

[ { "created": "Sun, 27 Mar 2022 17:20:45 GMT", "version": "v1" } ]

2022-03-29

[ [ "Nair", "V. P.", "" ] ]

In this talk I discuss some features of the entanglement entropy for fuzzy geometry, focusing on its dependence on the background fields and the spin connection of the emergent continuous manifold in a large $N$ limit. Using the Landau-Hall paradigm for fuzzy geometry, this is argued to be given by a generalized Chern-Simons form, making a point of connection with the thermodynamic view of gravity. Matter-gravity couplings are also considered in the same framework; they naturally lead to certain specific nonminimal couplings involving powers of the curvature.

16.287502

14.982937

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15.056416

15.879875

14.437123

14.559739

18.812138

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14.77261

15.023688

14.504172

14.915553

14.04268

14.679656

15.462049

14.723022

hep-th/9810110

Kimyeong Lee

Sheets of BPS Monopoles and Instantons with Arbitrary Simple Gauge Group

LaTex file, 11 pages

Phys.Lett. B445 (1999) 387-393

10.1016/S0370-2693(98)01463-4

SNUTP-98-113

hep-th

null

We show that the BPS configurations of uniform field strength can be interpreted as those for sheets of infinite number of BPS magnetic monopoles, and found that the number of normalizable zero modes per each magnetic monopole charge is four. We identify monopole sheets as the intersecting planes of D3 branes. Similar analysis on self-dual instanton configurations is worked out and the number of zero modes per each instanton number is found to match that of single isolated instanton.

[ { "created": "Thu, 15 Oct 1998 03:38:13 GMT", "version": "v1" } ]

2009-10-31

[ [ "Lee", "Kimyeong", "" ] ]

We show that the BPS configurations of uniform field strength can be interpreted as those for sheets of infinite number of BPS magnetic monopoles, and found that the number of normalizable zero modes per each magnetic monopole charge is four. We identify monopole sheets as the intersecting planes of D3 branes. Similar analysis on self-dual instanton configurations is worked out and the number of zero modes per each instanton number is found to match that of single isolated instanton.

15.363857

15.234092

16.272644

13.775546

14.951913

14.300672

14.417819

14.884782

14.679538

18.342009

13.51721

14.151283

15.399121

14.139772

14.099988

14.78072

14.194907

14.519911

14.658735

15.069076

13.78097

hep-th/9611059

Arthur Lue

Arthur Lue (MIT)

Quantum effects on winding configurations in SU(2)-Higgs theory

12 pages, 2 eps figures, RevTeX, psfig.sty included. Substantial content changes. Analysis improved to include higher-loop effects

Phys.Rev.D55:6725-6729,1997

10.1103/PhysRevD.55.6725

MIT-CTP-2585

hep-th hep-ph

null

We examine the quantum corrections to the static energy for Higgs winding configurations in order to ascertain whether such corrections may stabilize solitons in the standard model. We evaluate the effective action for winding configurations in Weinberg-Salam theory without U(1)-gauge fields or fermions. For a configuration whose size, $a \ll m^{-1}$ where $m = \max{m_W,m_H}$, m_W is the W-mass, and m_H is the Higgs mass, the static energy goes like $g^{-2}m_W^2a [1+b_0g^2\ln(1/ma)]^{c_0/b_0}$ in the semiclassical limit. Here g is the SU(2)-gauge coupling constant and b_0, c_0 are positive numbers determined by renormalization-group techniques. We discuss the limitations of this result for extremely small configurations and conclude that quantum fluctuations do not stabilize winding configurations where we have confidence in SU(2)-Higgs as a renormalizable field theory.

[ { "created": "Fri, 8 Nov 1996 15:20:59 GMT", "version": "v1" }, { "created": "Thu, 26 Dec 1996 17:59:33 GMT", "version": "v2" } ]

2009-12-30

[ [ "Lue", "Arthur", "", "MIT" ] ]

We examine the quantum corrections to the static energy for Higgs winding configurations in order to ascertain whether such corrections may stabilize solitons in the standard model. We evaluate the effective action for winding configurations in Weinberg-Salam theory without U(1)-gauge fields or fermions. For a configuration whose size, $a \ll m^{-1}$ where $m = \max{m_W,m_H}$, m_W is the W-mass, and m_H is the Higgs mass, the static energy goes like $g^{-2}m_W^2a [1+b_0g^2\ln(1/ma)]^{c_0/b_0}$ in the semiclassical limit. Here g is the SU(2)-gauge coupling constant and b_0, c_0 are positive numbers determined by renormalization-group techniques. We discuss the limitations of this result for extremely small configurations and conclude that quantum fluctuations do not stabilize winding configurations where we have confidence in SU(2)-Higgs as a renormalizable field theory.

8.931467

10.082736

8.312682

8.426255

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9.160985

9.806452

8.234353

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8.784599

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8.39768

8.744088

8.794101

8.625583

8.84143

8.751052

8.832023

8.731745

1601.02836

Sudarshan Ananth

Sudarshan Ananth, Lars Brink and Sucheta Majumdar

Exceptional versus superPoincar\'e algebra as the defining symmetry of maximal supergravity

22 pages

JHEP 1603 (2016) 051

10.1007/JHEP03(2016)051

null

hep-th

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

We describe how one may use either the superPoincar\'e algebra or the exceptional algebra to construct maximal supergravity theories in the light-cone formalism. The d=4 construction shows both symmetries albeit in a non-linearly realized manner. In d=11, we find that we have to choose which of these two symmetries to use, in constructing the theory. In order to understand the other "unused" symmetry, one has to perform a highly non-trivial field redefinition. We argue that this shows that one cannot trust counterterm arguments that do not take the full symmetry of the theory into account. Finally we discuss possible consequences for Superstring theory and M-theory.

[ { "created": "Tue, 12 Jan 2016 12:55:35 GMT", "version": "v1" }, { "created": "Tue, 14 Feb 2017 10:04:10 GMT", "version": "v2" } ]

2020-02-25

[ [ "Ananth", "Sudarshan", "" ], [ "Brink", "Lars", "" ], [ "Majumdar", "Sucheta", "" ] ]

We describe how one may use either the superPoincar\'e algebra or the exceptional algebra to construct maximal supergravity theories in the light-cone formalism. The d=4 construction shows both symmetries albeit in a non-linearly realized manner. In d=11, we find that we have to choose which of these two symmetries to use, in constructing the theory. In order to understand the other "unused" symmetry, one has to perform a highly non-trivial field redefinition. We argue that this shows that one cannot trust counterterm arguments that do not take the full symmetry of the theory into account. Finally we discuss possible consequences for Superstring theory and M-theory.

11.710373

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12.014627

10.680841

11.585717

11.862221

11.41061

12.218225

10.940688

10.59776

10.968593

10.756772

11.279254

10.45457

10.776733

10.620743

10.790432

11.571319

10.62968

0806.1218

Juan Maldacena

Ofer Aharony, Oren Bergman, Daniel Louis Jafferis and Juan Maldacena

N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals

41 pages, 4 figures. v3: minor corrections, added references. v4: added reference, minor changes, JHEP version

JHEP 0810:091,2008

10.1088/1126-6708/2008/10/091

WIS/12/08-JUN-DPP

hep-th

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

We construct three dimensional Chern-Simons-matter theories with gauge groups U(N)xU(N) and SU(N)xSU(N) which have explicit N=6 superconformal symmetry. Using brane constructions we argue that the U(N)xU(N) theory at level k describes the low energy limit of N M2-branes probing a C^4/Z_k singularity. At large N the theory is then dual to M theory on AdS_4xS^7/Z_k. The theory also has a 't Hooft limit (of large N with a fixed ratio N/k) which is dual to type IIA string theory on AdS_4xCP^3. For k=1 the theory is conjectured to describe N M2-branes in flat space, although our construction realizes explicitly only six of the eight supersymmetries. We give some evidence for this conjecture, which is similar to the evidence for mirror symmetry in d=3 gauge theories. When the gauge group is SU(2)xSU(2) our theory has extra symmetries and becomes identical to the Bagger-Lambert theory.

[ { "created": "Fri, 6 Jun 2008 19:43:48 GMT", "version": "v1" }, { "created": "Sun, 8 Jun 2008 18:52:12 GMT", "version": "v2" }, { "created": "Tue, 22 Jul 2008 12:11:00 GMT", "version": "v3" }, { "created": "Thu, 23 Oct 2008 12:37:24 GMT", "version": "v4" } ]

2009-07-09

[ [ "Aharony", "Ofer", "" ], [ "Bergman", "Oren", "" ], [ "Jafferis", "Daniel Louis", "" ], [ "Maldacena", "Juan", "" ] ]

We construct three dimensional Chern-Simons-matter theories with gauge groups U(N)xU(N) and SU(N)xSU(N) which have explicit N=6 superconformal symmetry. Using brane constructions we argue that the U(N)xU(N) theory at level k describes the low energy limit of N M2-branes probing a C^4/Z_k singularity. At large N the theory is then dual to M theory on AdS_4xS^7/Z_k. The theory also has a 't Hooft limit (of large N with a fixed ratio N/k) which is dual to type IIA string theory on AdS_4xCP^3. For k=1 the theory is conjectured to describe N M2-branes in flat space, although our construction realizes explicitly only six of the eight supersymmetries. We give some evidence for this conjecture, which is similar to the evidence for mirror symmetry in d=3 gauge theories. When the gauge group is SU(2)xSU(2) our theory has extra symmetries and becomes identical to the Bagger-Lambert theory.

4.316737

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4.483

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3.980675

4.693027

4.01121

0810.5489

Elcio Abdalla

Elcio Abdalla, Owen Pavel Fernandez Piedra, Jeferson de Oliveira and C. Molina

Perturbations of Black p-Branes

20 pages, major revisions

Phys.Rev.D81:064001,2010

10.1103/PhysRevD.81.064001

null

hep-th gr-qc

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

We consider black $p$-brane solutions of the low energy string action, computing scalar perturbations. Using standard methods, we derive the wave equations obeyed by the perturbations and treat them analytically and numerically. We have found that tensorial perturbations obtained via a gauge-invariant formalism leads to the same results as scalar perturbations. No instability has been found. Asymptotically, these solutions typically reduce to a $AdS_{(p+2)}\times S^{(8-p)}$ space, which, in the framework of Maldacena's conjecture, can be regarded as a gravitational dual to a conformal field theory defined in a $(p+1)$-dimensional flat space-time. The results presented open the possibility of a better understanding the AdS/CFT correspondence, as originally formulated in terms of the relation among brane structures and gauge theories.

[ { "created": "Thu, 30 Oct 2008 13:48:06 GMT", "version": "v1" }, { "created": "Thu, 16 Jul 2009 23:16:02 GMT", "version": "v2" }, { "created": "Fri, 5 Mar 2010 16:56:03 GMT", "version": "v3" } ]

2010-04-06

[ [ "Abdalla", "Elcio", "" ], [ "Piedra", "Owen Pavel Fernandez", "" ], [ "de Oliveira", "Jeferson", "" ], [ "Molina", "C.", "" ] ]

We consider black $p$-brane solutions of the low energy string action, computing scalar perturbations. Using standard methods, we derive the wave equations obeyed by the perturbations and treat them analytically and numerically. We have found that tensorial perturbations obtained via a gauge-invariant formalism leads to the same results as scalar perturbations. No instability has been found. Asymptotically, these solutions typically reduce to a $AdS_{(p+2)}\times S^{(8-p)}$ space, which, in the framework of Maldacena's conjecture, can be regarded as a gravitational dual to a conformal field theory defined in a $(p+1)$-dimensional flat space-time. The results presented open the possibility of a better understanding the AdS/CFT correspondence, as originally formulated in terms of the relation among brane structures and gauge theories.

7.87087

7.607856

7.285599

7.050421

7.345303

7.106577

7.375724

6.962398

7.411317

7.60996

6.95223

7.358412

7.39885

7.009942

7.299861

7.210474

7.103513

6.963676

7.183127

7.286711

7.24308

hep-th/9906099

Sanjay

On direct and crossed channel asymptotics of four-point functions in AdS/CFT correspondence

Revised version, typos corrected, 9 pages, no figures

Mod.Phys.Lett.A14:1413-1420,1999

10.1142/S0217732399001516

OUTP-99-28P

hep-th

null

We analyse the leading logarithmic singularities in direct and crossed channel limit of the four-point functions in dilaton-axion sector of type IIB supergravity on $AdS_{5}$ in AdS/CFT correspondence. Logarithms do not cancel in the full correlator in both channels.

[ { "created": "Mon, 14 Jun 1999 16:19:17 GMT", "version": "v1" }, { "created": "Wed, 16 Jun 1999 13:55:12 GMT", "version": "v2" }, { "created": "Thu, 16 Sep 1999 09:33:09 GMT", "version": "v3" } ]

2014-11-18

[ [ "Sanjay", "", "" ] ]

We analyse the leading logarithmic singularities in direct and crossed channel limit of the four-point functions in dilaton-axion sector of type IIB supergravity on $AdS_{5}$ in AdS/CFT correspondence. Logarithms do not cancel in the full correlator in both channels.

13.767006

11.944616

12.891607

10.326144

10.865037

9.858005

11.457771

10.372794

9.779275

12.707632

9.762975

10.445432

11.302704

10.088312

11.114558

10.254926

10.528134

10.019358

10.749496

11.057805

10.331209

hep-th/0304099

Talalaev

D. Talalaev (ITEP, Moscow)

Riemann bilinear form and Poisson structure in Hitchin-type systems

15 pages

null

ITEP-TH-22/03

hep-th math.AG

null

In this paper we reinterpret the Poisson structure of the Hitchin-type system in cohomological terms. The principal ingredient of a new interpretation in the case of the Beauville system is the meromorphic cohomology of the spectral curve, and the main result is the identification of the Riemann bilinear form and the symplectic structure of the model. Eventual perspectives of this approach lie in the quantization domain.

[ { "created": "Thu, 10 Apr 2003 14:39:54 GMT", "version": "v1" } ]

2007-05-23

[ [ "Talalaev", "D.", "", "ITEP, Moscow" ] ]

In this paper we reinterpret the Poisson structure of the Hitchin-type system in cohomological terms. The principal ingredient of a new interpretation in the case of the Beauville system is the meromorphic cohomology of the spectral curve, and the main result is the identification of the Riemann bilinear form and the symplectic structure of the model. Eventual perspectives of this approach lie in the quantization domain.

16.257772

14.569934

18.033386

15.206185

15.920551

18.18125

16.095737

15.152699

14.047955

19.629066

15.258787

15.616354

17.33408

15.415427

14.777285

15.133081

16.078432

16.053875

15.534405

16.325109

14.537605

hep-th/9502136

Nikolaos Batakis

Nikolaos A. Batakis

On the Classification of Spatially Homogeneous String Backgrounds

12 pages, LaTeX, one Table included, no figures.

null

CERN--TH/95--41

hep-th

null

A classification of all possible spatially homogeneous 4D string backgrounds (HSBs) has been obtained by appropriate ramification of the existing nine Bianchi types of homogeneous 3D spaces. A total of $24^2=576$ HSBs which have been classified as distinct contains a subclass of 192 which includes all possible FRW models as well as those in which SO(3) isotropy is attained asymptotically. A discussion of these results also aims to fascilitate the identification of HSBs which have already appeared in the literature. The basic physical perspective of the parameters of classification is outlined together with certain features relating to deeper aspects of string theory.

[ { "created": "Thu, 23 Feb 1995 18:10:07 GMT", "version": "v1" } ]

2016-09-06

[ [ "Batakis", "Nikolaos A.", "" ] ]

A classification of all possible spatially homogeneous 4D string backgrounds (HSBs) has been obtained by appropriate ramification of the existing nine Bianchi types of homogeneous 3D spaces. A total of $24^2=576$ HSBs which have been classified as distinct contains a subclass of 192 which includes all possible FRW models as well as those in which SO(3) isotropy is attained asymptotically. A discussion of these results also aims to fascilitate the identification of HSBs which have already appeared in the literature. The basic physical perspective of the parameters of classification is outlined together with certain features relating to deeper aspects of string theory.

19.693754

21.907852

19.554247

17.652334

21.197224

19.545914

23.555721

19.035648

18.269163

21.093914

19.325487

18.491219

18.668127

17.835264

18.43342

18.211227

19.312546

19.05957

18.349375

18.658068

18.064709

hep-th/0304172

Nobuyoshi Ohta

A Study of Accelerating Cosmologies from Superstring/M theories

20 pages, 17 figures, a typo corrected, to be published in Prog. Theor. Phys

Prog.Theor.Phys.110:269-283,2003

10.1143/PTP.110.269

OU-HET 438

hep-th astro-ph gr-qc

null

We study aspects of the accelerating cosmologies obtained from the compactification of vacuum solution and S2-branes of superstring/M theories. Parameter dependence of the resulting expansion of our universe and internal space is examined for all cases. We find that accelerating expansions are obtained also from spherical internal spaces, albeit the solution enters into contracting phase eventually. The relation between the models of SM2- and SD2-branes are also discussed, and a potential problem with SD2-brane model is noted.

[ { "created": "Mon, 21 Apr 2003 06:37:08 GMT", "version": "v1" }, { "created": "Fri, 25 Apr 2003 01:41:57 GMT", "version": "v2" }, { "created": "Tue, 1 Jul 2003 02:43:36 GMT", "version": "v3" } ]

2011-05-05

[ [ "Ohta", "Nobuyoshi", "" ] ]

We study aspects of the accelerating cosmologies obtained from the compactification of vacuum solution and S2-branes of superstring/M theories. Parameter dependence of the resulting expansion of our universe and internal space is examined for all cases. We find that accelerating expansions are obtained also from spherical internal spaces, albeit the solution enters into contracting phase eventually. The relation between the models of SM2- and SD2-branes are also discussed, and a potential problem with SD2-brane model is noted.

24.011726

22.680737

25.822702

22.835365

22.035246

22.95676

20.99098

22.042114

21.80308

25.744226

21.059311

22.681273

24.639803

23.218328

22.053841

23.418282

22.221476

23.813408

22.445318

23.08353

22.144144

0912.0789

Mauricio Valenzuela

Higher-spin symmetries of the free Schrodinger equation

Accepted version in Advances in Mathematical Physics

null

hep-th

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

It is shown that the Schrodinger symmetry algebra of a free particle in d spatial dimensions can be embedded into a representation of the higher-spin algebra. The latter spans an infinite dimensional algebra of higher-order symmetry generators of the free Schrodinger equation. An explicit representation of the maximal finite dimensional subalgebra of the higher spin algebra is given in terms of non-relativistic generators. We show also how to convert Vasiliev's equations into an explicit non-relativistic covariant form, such that they might apply to non-relativistic systems. Our procedure reveals that the space of solutions of the Schrodinger equation can be regarded also as a supersymmetric module.

[ { "created": "Fri, 4 Dec 2009 07:58:45 GMT", "version": "v1" }, { "created": "Sun, 6 Dec 2009 18:56:24 GMT", "version": "v2" }, { "created": "Sat, 16 Apr 2011 21:31:29 GMT", "version": "v3" }, { "created": "Thu, 23 Feb 2012 17:58:04 GMT", "version": "v4" }, { "created": "Tue, 26 Jul 2016 19:25:35 GMT", "version": "v5" } ]

2016-07-27

[ [ "Valenzuela", "Mauricio", "" ] ]

It is shown that the Schrodinger symmetry algebra of a free particle in d spatial dimensions can be embedded into a representation of the higher-spin algebra. The latter spans an infinite dimensional algebra of higher-order symmetry generators of the free Schrodinger equation. An explicit representation of the maximal finite dimensional subalgebra of the higher spin algebra is given in terms of non-relativistic generators. We show also how to convert Vasiliev's equations into an explicit non-relativistic covariant form, such that they might apply to non-relativistic systems. Our procedure reveals that the space of solutions of the Schrodinger equation can be regarded also as a supersymmetric module.

9.500041

9.176387

10.448189

9.65475

8.885312

9.207564

8.945785

8.767805

9.132532

10.427337

9.009535

8.90813

9.616333

9.012568

8.822822

8.865119

8.918919

9.15912

8.999419

9.302919

8.635567

1810.11446

Daniel Thompson

Saskia Demulder, Falk Hassler and Daniel C. Thompson

Doubled aspects of generalised dualities and integrable deformations

55 pages

null

10.1007/JHEP02(2019)189

null

hep-th

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

The worldsheet theories that describe Poisson-Lie T-dualisable $\sigma$-models on group manifolds as well as integrable $\eta$, $\lambda$ and $\beta$-deformations provide examples of ${\cal E}$-models. Here we show how such ${\cal E}$-models can be given an elegant target space description within Double Field Theory by specifying explicitly generalised frame fields forming an algebra under the generalised Lie derivative. With this framework we can extract simple criteria for the R/R fields and the dilaton that extend the ${\cal E}$-model conditions to type II backgrounds. In particular this gives conditions for a type II background to be Poisson-Lie T-dualisable. Our approach gives rise to algebraic field equations for Poisson-Lie symmetric spacetimes and provides an effective tool for their study.

[ { "created": "Fri, 26 Oct 2018 17:52:17 GMT", "version": "v1" } ]

2019-03-27

[ [ "Demulder", "Saskia", "" ], [ "Hassler", "Falk", "" ], [ "Thompson", "Daniel C.", "" ] ]

The worldsheet theories that describe Poisson-Lie T-dualisable $\sigma$-models on group manifolds as well as integrable $\eta$, $\lambda$ and $\beta$-deformations provide examples of ${\cal E}$-models. Here we show how such ${\cal E}$-models can be given an elegant target space description within Double Field Theory by specifying explicitly generalised frame fields forming an algebra under the generalised Lie derivative. With this framework we can extract simple criteria for the R/R fields and the dilaton that extend the ${\cal E}$-model conditions to type II backgrounds. In particular this gives conditions for a type II background to be Poisson-Lie T-dualisable. Our approach gives rise to algebraic field equations for Poisson-Lie symmetric spacetimes and provides an effective tool for their study.

10.931787

9.771048

12.27195

9.734567

9.46706

9.349421

9.573408

8.905254

9.266908

12.256143

9.273983

10.14922

10.457729

9.861379

10.040315

9.807572

9.845282

10.071396

10.067153

10.676924

9.672385

1907.04836

Sylvain Lacroix

Constrained affine Gaudin models and diagonal Yang-Baxter deformations

95 pages

J. Phys. A: Math. Theor. 53 (2020) 255203

10.1088/1751-8121/ab876e

ZMP-HH/19-12

hep-th math-ph math.MP

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

We review and pursue further the study of constrained realisations of affine Gaudin models, which form a large class of two-dimensional integrable field theories with gauge symmetries. In particular, we develop a systematic gauging procedure which allows to reformulate the non-constrained realisations of affine Gaudin models considered recently in [JHEP 06 (2019) 017] as equivalent models with a gauge symmetry. This reformulation is then used to construct integrable deformations of these models breaking their diagonal symmetry. In a second time, we apply these general methods to the integrable coupled $\sigma$-model introduced recently, whose target space is the N-fold Cartesian product $G_0^N$ of a real semi-simple Lie group $G_0$. We present its gauged formulation as a model on $G_0^{N+1}$ with a gauge symmetry acting as the right multiplication by the diagonal subgroup $G_0^{\text{diag}}$ and construct its diagonal homogeneous Yang-Baxter deformation.

[ { "created": "Wed, 10 Jul 2019 17:33:46 GMT", "version": "v1" } ]

2020-06-08

[ [ "Lacroix", "Sylvain", "" ] ]

We review and pursue further the study of constrained realisations of affine Gaudin models, which form a large class of two-dimensional integrable field theories with gauge symmetries. In particular, we develop a systematic gauging procedure which allows to reformulate the non-constrained realisations of affine Gaudin models considered recently in [JHEP 06 (2019) 017] as equivalent models with a gauge symmetry. This reformulation is then used to construct integrable deformations of these models breaking their diagonal symmetry. In a second time, we apply these general methods to the integrable coupled $\sigma$-model introduced recently, whose target space is the N-fold Cartesian product $G_0^N$ of a real semi-simple Lie group $G_0$. We present its gauged formulation as a model on $G_0^{N+1}$ with a gauge symmetry acting as the right multiplication by the diagonal subgroup $G_0^{\text{diag}}$ and construct its diagonal homogeneous Yang-Baxter deformation.

7.272829

7.491406

7.44994

6.599918

7.365443

6.591679

6.92971

6.890285

6.780354

7.80113

6.585819

6.756211

7.061393

6.919238

6.921344

6.742099

6.703868

6.830701

6.670013

7.201149

6.855945

2312.12569

Gleb Sumbatian

G. Sumbatian, E. Ievlev and A. Yung

Large-$N$ Solution and Effective Action of "Twisted-Mass'' Deformed $\mathbb{CP}(N-1)$ Model

21 pages, 3 figures

null

FTPI-MINN-23-25

hep-th

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

We study effective dynamics of the non-supersymmetric two-dimensional $\mathbb{CP}(N-1)$ model in the large $N$ limit. This model is deformed by a mass term $m$ preserving $\mathbb{Z}_N$ symmetry of the Lagrangian. At small $m$ the theory is strongly coupled and resembles the undeformed $\mathbb{CP}(N-1)$ model, while at large $m$ it is in a weakly coupled Higgs phase with spontaneously broken $\mathbb{Z}_N$. We find the phase transition point and discuss the fate of the kink-antikink ``mesons'' at strong coupling. We also resolve an issue of instability that arose in previous studies of this model.

[ { "created": "Tue, 19 Dec 2023 20:09:28 GMT", "version": "v1" } ]

2023-12-21

[ [ "Sumbatian", "G.", "" ], [ "Ievlev", "E.", "" ], [ "Yung", "A.", "" ] ]

We study effective dynamics of the non-supersymmetric two-dimensional $\mathbb{CP}(N-1)$ model in the large $N$ limit. This model is deformed by a mass term $m$ preserving $\mathbb{Z}_N$ symmetry of the Lagrangian. At small $m$ the theory is strongly coupled and resembles the undeformed $\mathbb{CP}(N-1)$ model, while at large $m$ it is in a weakly coupled Higgs phase with spontaneously broken $\mathbb{Z}_N$. We find the phase transition point and discuss the fate of the kink-antikink ``mesons'' at strong coupling. We also resolve an issue of instability that arose in previous studies of this model.

5.086063

4.76795

5.477444

4.79639

4.628511

4.512139

5.194769

4.667392

4.904677

6.474385

4.466452

4.926292

5.137752

4.921013

4.931194

4.875358

4.909917

4.799302

5.062603

5.189267

4.818281

hep-th/0104067

Inyong Cho

Katherine Benson and Inyong Cho (Emory University)

A universe in a global monopole

22 pages, 2 eps figures, revtex

Phys.Rev.D64:065026,2001

10.1103/PhysRevD.64.065026

null

hep-th gr-qc hep-ph

null

We investigate brane physics in a universe with an extra dimensional global monopole and negative bulk cosmological constant. The graviton zero mode is naturally divergent; we thus invoke a physical cut-off to induce four dimensional gravity on a brane at the monopole core. Independently, the massive Kaluza-Klein modes have naturally compactified extra dimensions, inducing a discrete spectrum. This spectrum remains consistent with four dimensional gravity on the brane, even for small mass gap. Extra dimensional matter fields also induce four dimensional matter fields on the brane, with the same Kaluza-Klein spectrum of excited states. We choose parameters to solve the hierarchy problem; that is, to induce the observed hierarchy between particle and Planck scales in the effective four dimensional universe.

[ { "created": "Fri, 6 Apr 2001 23:10:59 GMT", "version": "v1" } ]

2014-11-18

[ [ "Benson", "Katherine", "", "Emory University" ], [ "Cho", "Inyong", "", "Emory University" ] ]

We investigate brane physics in a universe with an extra dimensional global monopole and negative bulk cosmological constant. The graviton zero mode is naturally divergent; we thus invoke a physical cut-off to induce four dimensional gravity on a brane at the monopole core. Independently, the massive Kaluza-Klein modes have naturally compactified extra dimensions, inducing a discrete spectrum. This spectrum remains consistent with four dimensional gravity on the brane, even for small mass gap. Extra dimensional matter fields also induce four dimensional matter fields on the brane, with the same Kaluza-Klein spectrum of excited states. We choose parameters to solve the hierarchy problem; that is, to induce the observed hierarchy between particle and Planck scales in the effective four dimensional universe.

11.924109

11.679749

11.448709

10.771454

11.337298

11.179328

10.617409

10.823073

10.55726

11.694299

10.67968

11.059029

12.042973

10.823607

10.895347

10.947145

11.147521

11.331831

10.779683

11.655722

10.930945

hep-th/9504096

Kaare Olaussen

Erling G. B. Hohler and K{\aa}re Olaussen

Using Conservation Laws to Solve Toda Field Theories

Latex, 24 pages

Int.J.Mod.Phys. A11 (1996) 1831-1854

10.1142/S0217751X96000961

Theoretical Physics Seminar in Trondheim, No 7 1995

hep-th

null

We investigate the question of how the knowledge of sufficiently many local conservation laws for a model can be utilized to solve the model. We show that for models where the conservation laws can be written in one-sided forms, like $\barpartial Q_s = 0$, the problem can always be reduced to solving a closed system of ordinary differential equations. We investigate the $A_1$, $A_2$, and $B_2$ Toda field theories in considerable detail from this viewpoint. One of our findings is that there is in each case a transformation group intrinsic to the model. This group is built on a specific real form of the Lie algebra used to label the Toda field theory. It is the group of field transformations which leaves the conserved densities invariant.

[ { "created": "Tue, 18 Apr 1995 16:37:03 GMT", "version": "v1" } ]

2016-08-15

[ [ "Hohler", "Erling G. B.", "" ], [ "Olaussen", "Kåre", "" ] ]

We investigate the question of how the knowledge of sufficiently many local conservation laws for a model can be utilized to solve the model. We show that for models where the conservation laws can be written in one-sided forms, like $\barpartial Q_s = 0$, the problem can always be reduced to solving a closed system of ordinary differential equations. We investigate the $A_1$, $A_2$, and $B_2$ Toda field theories in considerable detail from this viewpoint. One of our findings is that there is in each case a transformation group intrinsic to the model. This group is built on a specific real form of the Lie algebra used to label the Toda field theory. It is the group of field transformations which leaves the conserved densities invariant.

10.582295

10.891099

10.624823

10.686916

10.804686

9.959098

11.46205

10.165702

10.867073

12.002472

10.520467

10.135821

10.348572

9.863518

10.286031

10.079154

9.567777

10.062603

10.024245

10.53014

9.674138

hep-th/9508114

Forgacs Peter

Peter Forgacs and Jozsef Gyurusi (Research Ins. for Particle and Nucl. Phys, Budapest)

Static spherically symmetric monopole solutions in the presence of a dilaton field

9 pages (incl. 14 figures in eps format) Latex. Figures are to be decompressed from figs.uu included here as an uuencoded file. Cause of resubmission:problem with the previously uuencoded file

Phys.Lett.B366:205-211,1996

10.1016/0370-2693(95)01321-0

null

hep-th

null

A numerical study of static spherically symmetric monople solutions of a spontaneously broken SU(2) gauge theory coupled to a dilaton field is presented. Regular solutions seem to exist only up to a maximal value of the dilaton coupling. In addition to the generalization of the 't Hooft-Polyakov monopole a discrete family of regular solutions is found, corresponding to radial excitations, absent in the theory without dilaton.

[ { "created": "Wed, 23 Aug 1995 19:22:24 GMT", "version": "v1" }, { "created": "Sun, 27 Aug 1995 12:42:29 GMT", "version": "v2" } ]

2010-11-19

[ [ "Forgacs", "Peter", "", "Research Ins. for Particle and Nucl.\n Phys, Budapest" ], [ "Gyurusi", "Jozsef", "", "Research Ins. for Particle and Nucl.\n Phys, Budapest" ] ]

A numerical study of static spherically symmetric monople solutions of a spontaneously broken SU(2) gauge theory coupled to a dilaton field is presented. Regular solutions seem to exist only up to a maximal value of the dilaton coupling. In addition to the generalization of the 't Hooft-Polyakov monopole a discrete family of regular solutions is found, corresponding to radial excitations, absent in the theory without dilaton.

8.052831

5.895322

6.489263

5.7402

6.109728

5.724713

6.077907

5.571253

5.609597

6.589231

6.355692

6.264693

6.489977

6.317759

6.504125

6.141683

6.195756

6.327667

6.504308

6.454437

6.372256

hep-th/0202140

Ishwaree Neupane

Y. M. Cho and Ishwaree P. Neupane

Anti-de Sitter Black Holes, Thermal Phase Transition and Holography in Higher Curvature Gravity

22 pages, Revtex 4, 12+1 figures, references added, section V extended. To appear in PRD

Phys.Rev.D66:024044,2002

10.1103/PhysRevD.66.024044

SNUTP-2002-04

hep-th

null

We study anti-de Sitter black holes in the Einstein-Gauss-Bonnet and the generic R^2 gravity theories, evaluate different thermodynamic quantities, and also examine the possibilities of Hawking-Page type thermal phase transitions in these theories. In the Einstein theory, with a possible cosmological term, one observes a Hawking-Page phase transition only if the event horizon is a hypersurface of positive constant curvature (k=1). But, with the Gauss-Bonnet or/and the (Riemann)^2 interaction terms, there may occur a similar phase transition for a horizon of negative constant curvature (k=-1). We examine the finite coupling effects, and find that N>5 could trigger a Hawking-Page phase transition in the latter theory. For the Gauss-Bonnet black holes, one relates the entropy of the black hole to a variation of the geometric property of the horizon based on first law and Noether charge. With (Riemann)^2 term, however, we can do this only approximately, and the two results agree when, r_H>>L, the size of the horizon is much bigger than the AdS curvature scale. We establish some relations between bulk data associated with the AdS black hole and boundary data defined on the horizon of the AdS geometry. Following a heuristic approach, we estimate the difference between Hubble entropy {\cal S}_H and Bekenstein-Hawking entropy {\cal S}_{BH} with (Riemann)^2 term, which, for k=0 and k=-1, would imply {\cal S}_{BH}\leq {\cal S}_H.

[ { "created": "Thu, 21 Feb 2002 07:23:21 GMT", "version": "v1" }, { "created": "Tue, 2 Apr 2002 20:22:47 GMT", "version": "v2" }, { "created": "Mon, 17 Jun 2002 14:57:13 GMT", "version": "v3" } ]

2011-05-05

[ [ "Cho", "Y. M.", "" ], [ "Neupane", "Ishwaree P.", "" ] ]

We study anti-de Sitter black holes in the Einstein-Gauss-Bonnet and the generic R^2 gravity theories, evaluate different thermodynamic quantities, and also examine the possibilities of Hawking-Page type thermal phase transitions in these theories. In the Einstein theory, with a possible cosmological term, one observes a Hawking-Page phase transition only if the event horizon is a hypersurface of positive constant curvature (k=1). But, with the Gauss-Bonnet or/and the (Riemann)^2 interaction terms, there may occur a similar phase transition for a horizon of negative constant curvature (k=-1). We examine the finite coupling effects, and find that N>5 could trigger a Hawking-Page phase transition in the latter theory. For the Gauss-Bonnet black holes, one relates the entropy of the black hole to a variation of the geometric property of the horizon based on first law and Noether charge. With (Riemann)^2 term, however, we can do this only approximately, and the two results agree when, r_H>>L, the size of the horizon is much bigger than the AdS curvature scale. We establish some relations between bulk data associated with the AdS black hole and boundary data defined on the horizon of the AdS geometry. Following a heuristic approach, we estimate the difference between Hubble entropy {\cal S}_H and Bekenstein-Hawking entropy {\cal S}_{BH} with (Riemann)^2 term, which, for k=0 and k=-1, would imply {\cal S}_{BH}\leq {\cal S}_H.

8.673512

8.438123

8.854722

8.44147

8.553236

8.542618

8.997893

8.410748

8.162276

9.117182

8.363712

8.516132

8.522742

8.511817

8.706262

8.595911

8.792628

8.609634

8.489458

8.619468

8.703119

1910.00008

Yusuke Kimura

$\frac{1}{2}$ Calabi-Yau 3-folds, Calabi-Yau 3-folds as double covers, and F-theory with U(1)s

22 pages. Some changes in section 4, section 5 expanded, and some clarifications. References added

JHEP 02(2020)076

10.1007/JHEP02(2020)076

KEK-TH-2158

hep-th

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

In this study, we introduce a new class of rational elliptic 3-folds, which we refer to as "1/2 Calabi-Yau 3-folds". We construct elliptically fibered Calabi-Yau 3-folds by utilizing these rational elliptic 3-folds. The construction yields a novel approach to build elliptically fibered Calabi-Yau 3-folds of various Mordell-Weil ranks. Our construction of Calabi-Yau 3-folds can be considered as a three-dimensional generalization of the operation of gluing pairs of 1/2 K3 surfaces to yield elliptic K3 surfaces. From one to seven $U(1)$s form in six-dimensional $N=1$ F-theory on the constructed Calabi-Yau 3-folds. Seven tensor multiplets arise in these models.

[ { "created": "Mon, 30 Sep 2019 08:53:38 GMT", "version": "v1" }, { "created": "Wed, 9 Oct 2019 16:21:37 GMT", "version": "v2" }, { "created": "Mon, 28 Oct 2019 15:38:27 GMT", "version": "v3" }, { "created": "Fri, 31 Jan 2020 10:45:59 GMT", "version": "v4" } ]

2020-02-18

[ [ "Kimura", "Yusuke", "" ] ]

In this study, we introduce a new class of rational elliptic 3-folds, which we refer to as "1/2 Calabi-Yau 3-folds". We construct elliptically fibered Calabi-Yau 3-folds by utilizing these rational elliptic 3-folds. The construction yields a novel approach to build elliptically fibered Calabi-Yau 3-folds of various Mordell-Weil ranks. Our construction of Calabi-Yau 3-folds can be considered as a three-dimensional generalization of the operation of gluing pairs of 1/2 K3 surfaces to yield elliptic K3 surfaces. From one to seven $U(1)$s form in six-dimensional $N=1$ F-theory on the constructed Calabi-Yau 3-folds. Seven tensor multiplets arise in these models.

5.743388

5.30804

6.483778

5.287726

5.305377

5.139768

5.470467

5.172081

5.511822

7.160363

5.440244

5.545899

5.949338

5.580268

5.486583

5.583629

5.395113

5.454887

5.576715

5.75714

5.459025

0705.2534

Ashok Das

Ashok Das and J. Frenkel

Thermal Operator and Dispersion Relation in QED at Finite Temperature and Chemical Potential

5 pages, revtex

Phys.Rev.D76:087701,2007

10.1103/PhysRevD.76.087701

null

hep-th

null

Combining the thermal operator representation with the dispersion relation in QED at finite temperature and chemical potential, we determine the complete retarded photon self-energy only from its absorptive part at zero temperature. As an application of this method, we show that, even for the case of a nonzero chemical potential, the temperature dependent part of the one loop retarded photon self-energy vanishes in $(1+1)$ dimensional massless QED.

[ { "created": "Thu, 17 May 2007 14:19:12 GMT", "version": "v1" } ]

2008-11-26

[ [ "Das", "Ashok", "" ], [ "Frenkel", "J.", "" ] ]

Combining the thermal operator representation with the dispersion relation in QED at finite temperature and chemical potential, we determine the complete retarded photon self-energy only from its absorptive part at zero temperature. As an application of this method, we show that, even for the case of a nonzero chemical potential, the temperature dependent part of the one loop retarded photon self-energy vanishes in $(1+1)$ dimensional massless QED.

10.486386

9.722355

8.883641

8.781341

9.664638

9.186961

10.129147

9.105175

9.157327

9.983562

8.638297

8.527096

9.265465

9.116876

8.756341

9.067599

8.971851

9.377634

9.181511

9.256671

9.502441

hep-th/9612211

null

V. B. Kopeliovich, B. E. Stern (INR, Moscow, Russia)

SU(3)-skyrmions

8 pages, 3 figures (available by request); extended talk at the Conference Quarks-96, Yaroslavl', Russia, May 1996

null

hep-th

null

The consideration of the bound skyrmions with large strangeness content is continued. The connection between B=2 SO(3)-hedgehog and SU(2)-torus is investigated and the quantization of the dipole- type configuration with large strangeness content is described.

[ { "created": "Fri, 20 Dec 1996 12:01:24 GMT", "version": "v1" } ]

2009-09-25

[ [ "Kopeliovich", "V. B.", "", "INR, Moscow, Russia" ], [ "Stern", "B. E.", "", "INR, Moscow, Russia" ] ]

The consideration of the bound skyrmions with large strangeness content is continued. The connection between B=2 SO(3)-hedgehog and SU(2)-torus is investigated and the quantization of the dipole- type configuration with large strangeness content is described.

23.977501

18.370846

19.02182

16.12047

22.747509

19.133022

19.406382

19.233969

17.888096

19.070343

19.406206

19.844261

19.83427

18.69281

19.302908

20.787792

20.39024

19.591093

18.724064

19.618629

19.149439

hep-th/0501167

Ali Imaanpur

Supersymmetric D3-branes in Five-Form Flux

13 pages, latex file, minor changes, refs. added

JHEP 0503 (2005) 030

10.1088/1126-6708/2005/03/030

IPM/P-2005/004

hep-th

null

We consider multiple Euclidean D3-branes in a specific supergravity solution, which consists of a self-dual 5-form RR field in a flat background. We propose a deformation of ${\cal N}=4$ SYM action describing the dynamics of D3-branes in this background. We look at the supersymmetries of ${\cal N}=4$ SYM theory consistent with those preserved by the background. We derive the Chern-Simons action induced by the RR field, and show that the whole action can be supersymmetrized. This we do by deforming the supersymmetry transformations and using the BRST-like characteristic of the unbroken supercharges.

[ { "created": "Thu, 20 Jan 2005 15:36:25 GMT", "version": "v1" }, { "created": "Wed, 26 Jan 2005 14:38:50 GMT", "version": "v2" }, { "created": "Mon, 4 Apr 2005 07:43:37 GMT", "version": "v3" } ]

2009-11-11

[ [ "Imaanpur", "Ali", "" ] ]

We consider multiple Euclidean D3-branes in a specific supergravity solution, which consists of a self-dual 5-form RR field in a flat background. We propose a deformation of ${\cal N}=4$ SYM action describing the dynamics of D3-branes in this background. We look at the supersymmetries of ${\cal N}=4$ SYM theory consistent with those preserved by the background. We derive the Chern-Simons action induced by the RR field, and show that the whole action can be supersymmetrized. This we do by deforming the supersymmetry transformations and using the BRST-like characteristic of the unbroken supercharges.

8.571333

7.805469

8.678992

7.582268

7.448854

7.504481

7.432257

7.594325

7.464957

9.291289

7.402872

7.551179

8.416027

7.706234

7.759366

7.781838

7.675839

7.651056

7.600525

8.24015

7.86034

1110.5905

Gonzalo Torroba

Nathaniel Craig, Rouven Essig, Anson Hook, Gonzalo Torroba

Phases of N=1 supersymmetric chiral gauge theories

35 pages, 5 figures

null

10.1007/JHEP12(2011)074

SLAC-PUB-14649; RUNHETC-2011-20; YITP-SB-11-35

hep-th hep-ph

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

We analyze the phases of supersymmetric chiral gauge theories with an antisymmetric tensor and (anti)fundamental flavors, in the presence of a classically marginal superpotential deformation. Varying the number of flavors that appear in the superpotential reveals rich infrared chiral dynamics and novel dualities. The dualities are characterized by an infinite family of magnetic duals with arbitrarily large gauge groups describing the same fixed point, correlated with arbitrarily large classical global symmetries that are truncated nonperturbatively. At the origin of moduli space, these theories exhibit a phase with confinement and chiral symmetry breaking, an interacting nonabelian Coulomb phase, and phases where an interacting sector coexists with a sector that either s-confines or is in a free magnetic phase. Properties of these intriguing "mixed phases" are studied in detail using duality and a-maximization, and the presence of superpotential interactions provides further insights into their formation.

[ { "created": "Wed, 26 Oct 2011 20:00:00 GMT", "version": "v1" } ]

2015-05-30

[ [ "Craig", "Nathaniel", "" ], [ "Essig", "Rouven", "" ], [ "Hook", "Anson", "" ], [ "Torroba", "Gonzalo", "" ] ]

We analyze the phases of supersymmetric chiral gauge theories with an antisymmetric tensor and (anti)fundamental flavors, in the presence of a classically marginal superpotential deformation. Varying the number of flavors that appear in the superpotential reveals rich infrared chiral dynamics and novel dualities. The dualities are characterized by an infinite family of magnetic duals with arbitrarily large gauge groups describing the same fixed point, correlated with arbitrarily large classical global symmetries that are truncated nonperturbatively. At the origin of moduli space, these theories exhibit a phase with confinement and chiral symmetry breaking, an interacting nonabelian Coulomb phase, and phases where an interacting sector coexists with a sector that either s-confines or is in a free magnetic phase. Properties of these intriguing "mixed phases" are studied in detail using duality and a-maximization, and the presence of superpotential interactions provides further insights into their formation.

11.527328

13.173548

13.205311

10.229874

11.344998

11.56202

10.564012

10.71602

11.239272

12.355636

11.134098

11.221768

11.593307

10.789008

10.639605

11.337546

10.746605

11.148656

10.657871

11.509909

10.688512

hep-th/0107127

Shibaji Roy

Indranil Mitra and Shibaji Roy

(NS5,D5,D3) bound state, OD3, OD5 limits and SL(2,Z) duality

21 pages, Revtex, v3: minor corrections and physical meaning of the parameters $l$ and $\tilde{l}$ is given, version to appear in PRD

Phys.Rev. D65 (2002) 106001

10.1103/PhysRevD.65.106001

null

hep-th

null

We generalize the non-threshold bound state in type IIB supergravity of the form (NS5, D5, D3) constructed by the present authors (in hep-th/0011236) to non-zero asymptotic value of the axion $(\chi_0$). We identify the decoupling limits corresponding to both the open D3-brane theory and open D5-brane theory for this supergravity solution as expected. However, we do not find any non-commutative Yang-Mills theory (NCYM) limit for this solution in the presence of NS5 branes. We then study the $SL(2, Z)$ duality symmetry of type IIB theory for both OD3-limit and OD5-limit. We find that for OD3 theory, a generic $SL(2, Z)$ duality always gives another OD3-theory irrespective of the value of $\chi_0$ being rational or not. This indicates that OD3-theory is self-dual. But, under a special set of $SL(2, Z)$ transformations for which $\chi_0$ is rational OD3-theory goes over to a 5+1 dimensional NCYM theory and these two theories in this case are related to each other by strong-weak duality symmetry. On the other hand, for OD5-theory, a generic $SL(2, Z)$ duality gives another OD5-theory if $\chi_0$ is irrational, but when $\chi_0$ is rational it gives the little string theory limit indicating that OD5-theory is S-dual to the type IIB little string theory.

[ { "created": "Sat, 14 Jul 2001 10:01:49 GMT", "version": "v1" }, { "created": "Thu, 19 Jul 2001 12:08:35 GMT", "version": "v2" }, { "created": "Thu, 7 Mar 2002 08:24:28 GMT", "version": "v3" } ]

2009-11-07

[ [ "Mitra", "Indranil", "" ], [ "Roy", "Shibaji", "" ] ]

We generalize the non-threshold bound state in type IIB supergravity of the form (NS5, D5, D3) constructed by the present authors (in hep-th/0011236) to non-zero asymptotic value of the axion $(\chi_0$). We identify the decoupling limits corresponding to both the open D3-brane theory and open D5-brane theory for this supergravity solution as expected. However, we do not find any non-commutative Yang-Mills theory (NCYM) limit for this solution in the presence of NS5 branes. We then study the $SL(2, Z)$ duality symmetry of type IIB theory for both OD3-limit and OD5-limit. We find that for OD3 theory, a generic $SL(2, Z)$ duality always gives another OD3-theory irrespective of the value of $\chi_0$ being rational or not. This indicates that OD3-theory is self-dual. But, under a special set of $SL(2, Z)$ transformations for which $\chi_0$ is rational OD3-theory goes over to a 5+1 dimensional NCYM theory and these two theories in this case are related to each other by strong-weak duality symmetry. On the other hand, for OD5-theory, a generic $SL(2, Z)$ duality gives another OD5-theory if $\chi_0$ is irrational, but when $\chi_0$ is rational it gives the little string theory limit indicating that OD5-theory is S-dual to the type IIB little string theory.

5.867785

5.817385

6.629998

5.458956

5.671855

5.731243

5.780113

5.520513

5.688986

6.692029

5.677322

5.562547

6.223877

5.738146

5.760824

5.604702

5.746725

5.570191

5.660446

6.131659

5.501379

2311.04355

Francisco Navarro-Lerida

Francisco Navarro-Lerida, Eugen Radu, D. H. Tchrakian

The effect of Skyrme--Chern-Simons dynamics on gauged Skyrmions in $2+1$ dimensions

26 pages, 10 figures

null

DIAS-STP-23-25, IPARCOS-UCM-23-126

hep-th

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

We study the Skyrmion of the $SO(2)$ gauged $O(3)$ sigma model in $2+1$ dimensions in the presence of a Skyrme--Chern-Simons (SCS) term, and compare its properties with the corresponding properties of the Skyrmion in the presence of the usual Chern-Simons (CS) term. We find that these properties are qualitatively largely similar in both cases, meaning that the SCS density can be employed as an alternative to the CS term also in higher dimensions, most importantly in even dimensions where no CS term is defined, $e.g.,$ in $3+1$ dimensions. The SCS density employed here is defined in terms of the pair of $SO(2)\times SO(2)$ gauge fields and an auxiliary $O(5)$ Skyrme scalar, which is contracted to an effective $O(3)$ Skyrme scalar. Technically, this study maps the methods to be applied in higher dimensional examples.

[ { "created": "Tue, 7 Nov 2023 21:30:23 GMT", "version": "v1" }, { "created": "Fri, 12 Jan 2024 09:32:01 GMT", "version": "v2" }, { "created": "Tue, 23 Apr 2024 14:15:49 GMT", "version": "v3" }, { "created": "Thu, 20 Jun 2024 18:58:15 GMT", "version": "v4" } ]

2024-06-24

[ [ "Navarro-Lerida", "Francisco", "" ], [ "Radu", "Eugen", "" ], [ "Tchrakian", "D. H.", "" ] ]

We study the Skyrmion of the $SO(2)$ gauged $O(3)$ sigma model in $2+1$ dimensions in the presence of a Skyrme--Chern-Simons (SCS) term, and compare its properties with the corresponding properties of the Skyrmion in the presence of the usual Chern-Simons (CS) term. We find that these properties are qualitatively largely similar in both cases, meaning that the SCS density can be employed as an alternative to the CS term also in higher dimensions, most importantly in even dimensions where no CS term is defined, $e.g.,$ in $3+1$ dimensions. The SCS density employed here is defined in terms of the pair of $SO(2)\times SO(2)$ gauge fields and an auxiliary $O(5)$ Skyrme scalar, which is contracted to an effective $O(3)$ Skyrme scalar. Technically, this study maps the methods to be applied in higher dimensional examples.

6.969285

7.726799

7.012238

6.640379

7.420111

6.70214

7.483669

7.004111

6.58644

7.66678

6.657773

6.635164

6.653544

6.643875

6.755066

6.704581

6.616894

6.447772

6.576

6.943314

6.634542

2006.06263

R Loll

N. Klitgaard, R. Loll

How round is the quantum de Sitter universe?

24 pages, 8 figures

null

10.1140/epjc/s10052-020-08569-5

null

hep-th gr-qc

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

We investigate the quantum Ricci curvature, which was introduced in earlier work, in full, four-dimensional quantum gravity, formulated nonperturbatively in terms of Causal Dynamical Triangulations (CDT). A key finding of the CDT approach is the emergence of a universe of de Sitter-type, as evidenced by the successful matching of Monte Carlo measurements of the quantum dynamics of the global scale factor with a semiclassical minisuperspace model. An important question is whether the quantum universe exhibits semiclassicality also with regard to its more local geometric properties. Using the new quantum curvature observable, we examine whether the (quasi-)local properties of the quantum geometry resemble those of a constantly curved space. We find evidence that on sufficiently large scales the curvature behaviour is compatible with that of a four-sphere, thus strengthening the interpretation of the dynamically generated quantum universe in terms of a de Sitter space.

[ { "created": "Thu, 11 Jun 2020 09:11:31 GMT", "version": "v1" } ]

2020-12-02

[ [ "Klitgaard", "N.", "" ], [ "Loll", "R.", "" ] ]

We investigate the quantum Ricci curvature, which was introduced in earlier work, in full, four-dimensional quantum gravity, formulated nonperturbatively in terms of Causal Dynamical Triangulations (CDT). A key finding of the CDT approach is the emergence of a universe of de Sitter-type, as evidenced by the successful matching of Monte Carlo measurements of the quantum dynamics of the global scale factor with a semiclassical minisuperspace model. An important question is whether the quantum universe exhibits semiclassicality also with regard to its more local geometric properties. Using the new quantum curvature observable, we examine whether the (quasi-)local properties of the quantum geometry resemble those of a constantly curved space. We find evidence that on sufficiently large scales the curvature behaviour is compatible with that of a four-sphere, thus strengthening the interpretation of the dynamically generated quantum universe in terms of a de Sitter space.

8.463993

8.805224

9.086159

8.417988

8.724791

8.23537

9.368702

8.389507

8.362314

9.386035

8.093717

8.304422

8.683094

8.070456

8.225513

8.119333

8.187664

8.105819

8.2642

8.505127

8.152758

1203.1015

Eva Silverstein

Joseph Polchinski and Eva Silverstein

Large-density field theory, viscosity, and "$2k_F$" singularities from string duals

28 pages. v2: added references

null

10.1088/0264-9381/29/19/194008

NSF-KITP-12-027; SLAC-PUB-14883; SU-ITP-12/08

hep-th cond-mat.str-el

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

We analyze systems where an effective large-N expansion arises naturally in gauge theories without a large number of colors: a sufficiently large charge density alone can produce a perturbative string ('tHooft) expansion. One example is simply the well-known NS5/F1 system dual to $AdS_3\times T^4\times S^3$, here viewed as a 5+1 dimensional theory at finite density. This model is completely stable, and we find that the existing string-theoretic solution of this model yields two interesting results. First, it indicates that the shear viscosity is not corrected by $\alpha'$ effects in this system. For flow perpendicular to the F1 strings the viscosity to entropy ratio take the usual value $1/4\pi$, but for flow parallel to the F1's it vanishes as $T^2$ at low temperature. Secondly, it encodes singularities in correlation functions coming from low-frequency modes at a finite value of the momentum along the $T^4$ directions. This may provide a strong coupling analogue of finite density condensed matter systems for which fermionic constituents of larger operators contribute so-called "$2k_F$" singularities. In the NS5/F1 example, stretched strings on the gravity side play the role of these composite operators. We explore the analogue for our system of the Luttinger relation between charge density and the volume bounded by these singular surfaces. This model provides a clean example where the string-theoretic UV completion of the gravity dual to a finite density field theory plays a significant and calculable role.

[ { "created": "Mon, 5 Mar 2012 19:26:51 GMT", "version": "v1" }, { "created": "Thu, 15 Mar 2012 19:15:43 GMT", "version": "v2" } ]

2015-06-04

[ [ "Polchinski", "Joseph", "" ], [ "Silverstein", "Eva", "" ] ]

We analyze systems where an effective large-N expansion arises naturally in gauge theories without a large number of colors: a sufficiently large charge density alone can produce a perturbative string ('tHooft) expansion. One example is simply the well-known NS5/F1 system dual to $AdS_3\times T^4\times S^3$, here viewed as a 5+1 dimensional theory at finite density. This model is completely stable, and we find that the existing string-theoretic solution of this model yields two interesting results. First, it indicates that the shear viscosity is not corrected by $\alpha'$ effects in this system. For flow perpendicular to the F1 strings the viscosity to entropy ratio take the usual value $1/4\pi$, but for flow parallel to the F1's it vanishes as $T^2$ at low temperature. Secondly, it encodes singularities in correlation functions coming from low-frequency modes at a finite value of the momentum along the $T^4$ directions. This may provide a strong coupling analogue of finite density condensed matter systems for which fermionic constituents of larger operators contribute so-called "$2k_F$" singularities. In the NS5/F1 example, stretched strings on the gravity side play the role of these composite operators. We explore the analogue for our system of the Luttinger relation between charge density and the volume bounded by these singular surfaces. This model provides a clean example where the string-theoretic UV completion of the gravity dual to a finite density field theory plays a significant and calculable role.

13.925134

14.02357

16.550657

13.729056

15.314971

14.766549

14.693439

14.600309

13.450233

17.537413

14.321986

13.684687

14.552104

13.635657

13.840284

13.925977

13.622141

13.8172

13.877024

14.968451

13.650546

2011.02002

Romain Ruzziconi

Adrien Fiorucci, Romain Ruzziconi

Charge Algebra in Al(A)dS$_n$ Spacetimes

48 pages, 1 figure, published version

null

10.1007/JHEP05(2021)210

null

hep-th gr-qc

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

The gravitational charge algebra of generic asymptotically locally (A)dS spacetimes is derived in $n$ dimensions. The analysis is performed in the Starobinsky/Fefferman-Graham gauge, without assuming any further boundary condition than the minimal falloffs for conformal compactification. In particular, the boundary structure is allowed to fluctuate and plays the role of source yielding some symplectic flux at the boundary. Using the holographic renormalization procedure, the divergences are removed from the symplectic structure, which leads to finite expressions. The charges associated with boundary diffeomorphisms are generically non-vanishing, non-integrable and not conserved, while those associated with boundary Weyl rescalings are non-vanishing only in odd dimensions due to the presence of Weyl anomalies in the dual theory. The charge algebra exhibits a field-dependent $2$-cocycle in odd dimensions. When the general framework is restricted to three-dimensional asymptotically AdS spacetimes with Dirichlet boundary conditions, the $2$-cocycle reduces to the Brown-Henneaux central extension. The analysis is also specified to leaky boundary conditions in asymptotically locally (A)dS spacetimes that lead to the $\Lambda$-BMS asymptotic symmetry group. In the flat limit, the latter contracts into the BMS group in $n$ dimensions.

[ { "created": "Tue, 3 Nov 2020 20:51:10 GMT", "version": "v1" }, { "created": "Tue, 1 Jun 2021 14:52:35 GMT", "version": "v2" } ]

2023-01-11

[ [ "Fiorucci", "Adrien", "" ], [ "Ruzziconi", "Romain", "" ] ]

The gravitational charge algebra of generic asymptotically locally (A)dS spacetimes is derived in $n$ dimensions. The analysis is performed in the Starobinsky/Fefferman-Graham gauge, without assuming any further boundary condition than the minimal falloffs for conformal compactification. In particular, the boundary structure is allowed to fluctuate and plays the role of source yielding some symplectic flux at the boundary. Using the holographic renormalization procedure, the divergences are removed from the symplectic structure, which leads to finite expressions. The charges associated with boundary diffeomorphisms are generically non-vanishing, non-integrable and not conserved, while those associated with boundary Weyl rescalings are non-vanishing only in odd dimensions due to the presence of Weyl anomalies in the dual theory. The charge algebra exhibits a field-dependent $2$-cocycle in odd dimensions. When the general framework is restricted to three-dimensional asymptotically AdS spacetimes with Dirichlet boundary conditions, the $2$-cocycle reduces to the Brown-Henneaux central extension. The analysis is also specified to leaky boundary conditions in asymptotically locally (A)dS spacetimes that lead to the $\Lambda$-BMS asymptotic symmetry group. In the flat limit, the latter contracts into the BMS group in $n$ dimensions.

7.886389

6.941461

8.326982

7.044219

7.049518

7.002773

7.019557

7.244359

7.170647

8.651886

6.951046

7.20909

7.706552

7.264677

7.308169

7.136693

7.539458

7.447254

7.287491

7.830362

7.352025

1612.06395

Paul Romatschke

Masanori Hanada and Paul Romatschke

Lattice Simulations of 10d Yang-Mills toroidally compactified to 1d, 2d and 4d

30 pages, 13 figures; v2: minor changes; v3: minor changes

Phys. Rev. D 96, 094502 (2017)

10.1103/PhysRevD.96.094502

null

hep-th hep-lat

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

Toroidally compactified Yang-Mills theory on the lattice is studied by using the Hybrid Monte Carlo algorithm. When the compact dimensions are small, the theory naturally reduces to Yang-Mills with scalars. We confirm previous analytical and numerical results for pure gauge theory with scalars in (0+1) dimensions and at high temperatures to Super-Yang-Mills in (1+1) dimensions. In (1+1) dimensions, our simulations confirm the previously conjectured phase diagram. Furthermore, we find evidence for the sequential breaking of the center symmetry in (1+1) dimensions as a function of the volume. In (3+1) dimensions we present first simulation results for the eigenvalue distribution of the Polyakov and Wilson loops, finding localized, non-uniform and center-symmetric configurations as a function of the lattice coupling.

[ { "created": "Mon, 19 Dec 2016 21:00:03 GMT", "version": "v1" }, { "created": "Thu, 20 Apr 2017 14:50:31 GMT", "version": "v2" }, { "created": "Fri, 20 Oct 2017 16:12:21 GMT", "version": "v3" } ]

2017-11-08

[ [ "Hanada", "Masanori", "" ], [ "Romatschke", "Paul", "" ] ]

Toroidally compactified Yang-Mills theory on the lattice is studied by using the Hybrid Monte Carlo algorithm. When the compact dimensions are small, the theory naturally reduces to Yang-Mills with scalars. We confirm previous analytical and numerical results for pure gauge theory with scalars in (0+1) dimensions and at high temperatures to Super-Yang-Mills in (1+1) dimensions. In (1+1) dimensions, our simulations confirm the previously conjectured phase diagram. Furthermore, we find evidence for the sequential breaking of the center symmetry in (1+1) dimensions as a function of the volume. In (3+1) dimensions we present first simulation results for the eigenvalue distribution of the Polyakov and Wilson loops, finding localized, non-uniform and center-symmetric configurations as a function of the lattice coupling.

8.332445

8.164657

8.386579

7.79726

8.241852

8.689185

8.251838

7.828797

7.594334

8.512546

8.009891

7.84205

8.035142

7.684795

7.556503

7.991637

7.959437

7.657655

7.800011

7.947481

8.090384

1905.09290

Paul Romatschke

Analytic Transport from Weak to Strong Coupling in the O(N) model

6 pages, 2 figures; v2: matches published version; v3: fixed typo in Eq. (6)

Phys. Rev. D 100, 054029 (2019)

10.1103/PhysRevD.100.054029

null

hep-th cond-mat.str-el hep-ph nucl-th

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

In this work, a second-order transport coefficient (the curvature-matter coupling $\kappa$) is calculated exactly for the 3+1d O(N) model at large N for any coupling value. Since the theory is `trivial' in the sense of possessing a Landau pole, the result for $\kappa$ only is free from cut-off artifacts much below the Landau pole in the effective field theory sense. Nevertheless, this leaves a large range of coupling values where this transport coefficient can be determined non-perturbatively and analytically with little ambiguity. Along with thermodyamic results also calculated in this work, I expect exact large N results to provide good quantitative predictions for N=1 scalar field theory with $\phi^4$ interaction.

[ { "created": "Wed, 22 May 2019 18:00:01 GMT", "version": "v1" }, { "created": "Mon, 30 Sep 2019 15:36:35 GMT", "version": "v2" }, { "created": "Mon, 25 Nov 2019 16:29:06 GMT", "version": "v3" } ]

2019-11-26

[ [ "Romatschke", "Paul", "" ] ]

In this work, a second-order transport coefficient (the curvature-matter coupling $\kappa$) is calculated exactly for the 3+1d O(N) model at large N for any coupling value. Since the theory is `trivial' in the sense of possessing a Landau pole, the result for $\kappa$ only is free from cut-off artifacts much below the Landau pole in the effective field theory sense. Nevertheless, this leaves a large range of coupling values where this transport coefficient can be determined non-perturbatively and analytically with little ambiguity. Along with thermodyamic results also calculated in this work, I expect exact large N results to provide good quantitative predictions for N=1 scalar field theory with $\phi^4$ interaction.

14.193729

15.014771

15.950334

13.761838

13.315011

14.04267

14.66908

13.957249

13.780293

15.22851

13.236745

13.254957

13.790945

13.710791

13.119824

14.001081

13.365072

13.504397

13.22564

14.488197

13.460739

hep-th/0008109

Ali Imaanpur

A. Imaanpur

On supermembrane actions on Calabi-Yau 3-folds

6 pages, latex file

Phys.Lett. B492 (2000) 365-368

10.1016/S0370-2693(00)01097-2

null

hep-th

null

In this note we examine the supermembrane action on Calabi-Yau 3-folds. We write down the Dirac-Born-Infeld part of the action, and show that it is invariant under the rigid spacetime supersymmetry.

[ { "created": "Sun, 13 Aug 2000 14:24:46 GMT", "version": "v1" } ]

2009-10-31

[ [ "Imaanpur", "A.", "" ] ]

In this note we examine the supermembrane action on Calabi-Yau 3-folds. We write down the Dirac-Born-Infeld part of the action, and show that it is invariant under the rigid spacetime supersymmetry.

6.220388

5.032308

6.539289

4.825669

4.962131

5.468195

4.957775

4.595462

4.93629

6.523865

4.830149

5.064079

5.901169

5.176917

4.982749

5.106164

5.06284

4.968832

5.016021

5.632341

4.68369

hep-th/9703134

Ingo Gaida

Mirjam Cvetic and Ingo Gaida (University of Pennsylvania)

Duality Invariant Non-Extreme Black Holes in Toroidally Compactified String Theory

Reference added, 20 pages, no figures

Nucl.Phys.B505:291-306,1997

10.1016/S0550-3213(97)00379-9

UPR-734-T

hep-th

null

We present duality invariant structure of the thermodynamic quantities of non-extreme black hole solutions of torodially compactified Type II (M-theory) and heterotic string in five and four dimensions. These quantities are parameterized by duality invariant combinations of charges and the non-extremality parameter, which measures a deviation from the BPS-saturated limit. In particular, in D=5 we find explicit S- and T-duality [U-duality] invariant expressions for solutions of toroidally compactified heterotic string [Type II string]. In D=4, we consider general S-duality invariant expressions for non-extreme solutions of pure N=4 supergravity and find to the leading order in non-extremality parameter the T- and S-duality invariant expressions of toroidally compactified heterotic string. General non-extreme solutions of toroidally compactified string in D=4 are awaiting further investigation.

[ { "created": "Wed, 19 Mar 1997 12:12:14 GMT", "version": "v1" }, { "created": "Wed, 2 Apr 1997 16:35:44 GMT", "version": "v2" } ]

2009-09-17

[ [ "Cvetic", "Mirjam", "", "University of Pennsylvania" ], [ "Gaida", "Ingo", "", "University of Pennsylvania" ] ]

We present duality invariant structure of the thermodynamic quantities of non-extreme black hole solutions of torodially compactified Type II (M-theory) and heterotic string in five and four dimensions. These quantities are parameterized by duality invariant combinations of charges and the non-extremality parameter, which measures a deviation from the BPS-saturated limit. In particular, in D=5 we find explicit S- and T-duality [U-duality] invariant expressions for solutions of toroidally compactified heterotic string [Type II string]. In D=4, we consider general S-duality invariant expressions for non-extreme solutions of pure N=4 supergravity and find to the leading order in non-extremality parameter the T- and S-duality invariant expressions of toroidally compactified heterotic string. General non-extreme solutions of toroidally compactified string in D=4 are awaiting further investigation.

7.421578

7.574203

8.057236

6.395772

7.688972

7.227305

7.213665

7.159175

7.106841

9.234548

7.178491

7.072813

7.60292

7.027407

7.063989

7.150486

7.029736

6.944121

6.977665

7.542544

7.098405

hep-th/9811089

Michele Maggiore

Michele Maggiore (INFN and Dept. of Phys., Pisa) and Antonio Riotto (CERN)

D-branes and Cosmology

LaTeX file, 30 pages, 2 eps figures, 1 reference added

Nucl.Phys. B548 (1999) 427-445

10.1016/S0550-3213(99)00104-2

CERN-TH/98-361

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

null

D-branes, topological defects in string theory on which string endpoints can live, may give new insight into the understanding of the cosmological evolution of the Universe at early epochs. We analyze the dynamics of D-branes in curved backgrounds and discuss the parameter space of M-theory as a function of the coupling constant and of the curvature of the Universe. We show that D-branes may be efficiently produced by gravitational effects. Furthermore, in curved spacetimes the transverse fluctuations of the D-branes develop a tachyonic mode and when the fluctuations grow larger than the horizon the branes become tensionless and break up. This signals a transition to a new regime. We discuss the implications of our findings for the singularity problem present in string cosmology, suggesting the existence of a limiting value for the curvature which is in agreement with the value suggested by the cosmological version of the holography principle. We also comment on possible implications for the so-called brane world scenario, where the Standard Model gauge and matter fields live inside some branes while gravitons live in the bulk.

[ { "created": "Tue, 10 Nov 1998 11:51:50 GMT", "version": "v1" }, { "created": "Mon, 16 Nov 1998 09:49:06 GMT", "version": "v2" } ]

2009-10-31

[ [ "Maggiore", "Michele", "", "INFN and Dept. of Phys., Pisa" ], [ "Riotto", "Antonio", "", "CERN" ] ]

D-branes, topological defects in string theory on which string endpoints can live, may give new insight into the understanding of the cosmological evolution of the Universe at early epochs. We analyze the dynamics of D-branes in curved backgrounds and discuss the parameter space of M-theory as a function of the coupling constant and of the curvature of the Universe. We show that D-branes may be efficiently produced by gravitational effects. Furthermore, in curved spacetimes the transverse fluctuations of the D-branes develop a tachyonic mode and when the fluctuations grow larger than the horizon the branes become tensionless and break up. This signals a transition to a new regime. We discuss the implications of our findings for the singularity problem present in string cosmology, suggesting the existence of a limiting value for the curvature which is in agreement with the value suggested by the cosmological version of the holography principle. We also comment on possible implications for the so-called brane world scenario, where the Standard Model gauge and matter fields live inside some branes while gravitons live in the bulk.

8.233315

8.616639

8.274166

7.954751

8.715421

8.823682

8.629038

8.763433

7.808307

8.935028

7.967382

8.040069

7.93545

7.841096

8.076931

7.929193

8.094697

7.789304

7.776262

8.107669

7.718006

1006.0145

Timothy J. Hollowood

Timothy J. Hollowood and Graham M. Shore

The Effect of Gravitational Tidal Forces on Vacuum Polarization: How to Undress a Photon

13 pages, 1 figure, minor corrections

Phys.Lett.B691:279-284,2010

10.1016/j.physletb.2010.07.006

null

hep-th

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

The effect of gravitational tidal forces on photon propagation in curved spacetime is investigated. It is found that the imaginary part of the local refractive index Im n(u;w) may be negative as well as positive, corresponding to a local amplification as well as attenuation of the amplitude of the renormalized photon field. This is interpreted in terms of the effect of tidal forces on the virtual e^+e^- cloud surrounding the bare photon field---a positive/negative Im n(u;w) corresponds to an increased dressing/undressing of the bare photon. Below threshold decays of the photon to e^+e^- pairs can occur. Photon undressing in the vicinity of a black hole singularity is described as an example. These results are shown to be consistent with unitarity and the optical theorem in curved spacetime, which is derived here both in a local form and integrated over the photon trajectory.

[ { "created": "Tue, 1 Jun 2010 14:51:03 GMT", "version": "v1" }, { "created": "Mon, 14 Jun 2010 13:00:30 GMT", "version": "v2" } ]

2014-11-21

[ [ "Hollowood", "Timothy J.", "" ], [ "Shore", "Graham M.", "" ] ]

The effect of gravitational tidal forces on photon propagation in curved spacetime is investigated. It is found that the imaginary part of the local refractive index Im n(u;w) may be negative as well as positive, corresponding to a local amplification as well as attenuation of the amplitude of the renormalized photon field. This is interpreted in terms of the effect of tidal forces on the virtual e^+e^- cloud surrounding the bare photon field---a positive/negative Im n(u;w) corresponds to an increased dressing/undressing of the bare photon. Below threshold decays of the photon to e^+e^- pairs can occur. Photon undressing in the vicinity of a black hole singularity is described as an example. These results are shown to be consistent with unitarity and the optical theorem in curved spacetime, which is derived here both in a local form and integrated over the photon trajectory.

8.916496

8.253314

8.837956

8.661161

8.85336

8.278314

8.439263

8.88272

8.070328

9.73702

8.482758

8.327491

8.455434

8.4528

8.486395

8.406706

8.534311

8.583453

8.327719

8.638869

8.34553

hep-th/0511071

Allen Stern

A. Pinzul and A. Stern

Noncommutative $AdS^3$ with Quantized Cosmological Constant

16 pp

Class.Quant.Grav.23:1009,2006

10.1088/0264-9381/23/3/024

null

hep-th gr-qc

null

We examine a recent deformation of three-dimensional anti-deSitter gravity based on noncommutative Chern-Simons theory with gauge group $U(1,1)\times U(1,1)$. In addition to a noncommutative analogue of 3D gravity, the theory contains two addition gauge fields which decouple in the commutative limit. It is well known that the level is quantized in noncommutative Chern-Simons theory. Here it implies that the cosmological constant goes like minus one over an integer-squared. We construct the noncommutative $AdS^3$ vacuum by applying a Seiberg-Witten map from the commutative case. The procedure is repeated for the case of a conical space resulting from a massive spinning particle.

[ { "created": "Mon, 7 Nov 2005 01:32:25 GMT", "version": "v1" } ]

2009-11-11

[ [ "Pinzul", "A.", "" ], [ "Stern", "A.", "" ] ]

We examine a recent deformation of three-dimensional anti-deSitter gravity based on noncommutative Chern-Simons theory with gauge group $U(1,1)\times U(1,1)$. In addition to a noncommutative analogue of 3D gravity, the theory contains two addition gauge fields which decouple in the commutative limit. It is well known that the level is quantized in noncommutative Chern-Simons theory. Here it implies that the cosmological constant goes like minus one over an integer-squared. We construct the noncommutative $AdS^3$ vacuum by applying a Seiberg-Witten map from the commutative case. The procedure is repeated for the case of a conical space resulting from a massive spinning particle.

7.463265

7.394019

8.047672

7.389822

7.15365

7.576282

7.361719

7.109201

7.351358

8.158809

7.123113

7.483659

7.561848

7.303939

7.349852

7.395559

7.401298

7.098368

7.215855

7.596876

6.941706

1606.00423

Luc\'ia C\'ordova

Hexagon POPE: effective particles and tree level resummation

29 pages, 8 figures

null

10.1007/JHEP01(2017)051

null

hep-th

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

We present the resummation of the full Pentagon Operator Product Expansion series of the hexagon Wilson loop in planar $\mathcal N=4$ SYM at tree level. We do so by considering the one effective particle states formed by a fundamental flux tube excitation and an arbitrary number of the so called "small fermions" which are then integrated out. We present our proposals for the one effective particle measures at finite coupling. By evaluating these measures at tree level and summing over all one effective particle states we reproduce the full 6 point tree level amplitude.

[ { "created": "Wed, 1 Jun 2016 19:52:50 GMT", "version": "v1" } ]

2017-02-01

[ [ "Córdova", "Lucía", "" ] ]

We present the resummation of the full Pentagon Operator Product Expansion series of the hexagon Wilson loop in planar $\mathcal N=4$ SYM at tree level. We do so by considering the one effective particle states formed by a fundamental flux tube excitation and an arbitrary number of the so called "small fermions" which are then integrated out. We present our proposals for the one effective particle measures at finite coupling. By evaluating these measures at tree level and summing over all one effective particle states we reproduce the full 6 point tree level amplitude.

13.15746

11.472504

15.234338

11.727497

11.828165

13.066122

12.979232

11.7776

12.623359

15.191032

11.090922

11.517962

13.352402

11.817772

11.955078

11.976809

12.254336

11.705867

12.174625

13.532252

11.498317

1608.07219

Yusuke Kimura

Discrete Gauge Groups in F-theory Models on Genus-One Fibered Calabi-Yau 4-folds without Section

29 pages. Some clarifications, updated acknowledgments, added references

JHEP 04(2017)168

10.1007/JHEP04(2017)168

YITP-16-98

hep-th

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

We determine the discrete gauge symmetries that arise in F-theory compactifications on examples of genus-one fibered Calabi-Yau 4-folds without a section. We construct genus-one fibered Calabi-Yau 4-folds using Fano manifolds, cyclic 3-fold covers of Fano 4-folds, and Segre embeddings of products of projective spaces. Discrete $\mathbb{Z}_5$, $\mathbb{Z}_4$, $\mathbb{Z}_3$ and $\mathbb{Z}_2$ symmetries arise in these constructions. We introduce a general method to obtain multisections for several constructions of genus-one fibered Calabi-Yau manifolds. The pullbacks of hyperplane classes under certain projections represent multisections to these genus-one fibrations. We determine the degrees of these multisections by computing the intersection numbers with fiber classes. As a result, we deduce the discrete gauge symmetries that arise in F-theory compactifications. This method applies to various Calabi-Yau genus-one fibrations.

[ { "created": "Thu, 25 Aug 2016 16:54:53 GMT", "version": "v1" }, { "created": "Mon, 5 Sep 2016 19:24:13 GMT", "version": "v2" }, { "created": "Wed, 7 Sep 2016 16:55:42 GMT", "version": "v3" }, { "created": "Mon, 28 Nov 2016 19:49:07 GMT", "version": "v4" }, { "created": "Fri, 24 Feb 2017 15:17:48 GMT", "version": "v5" }, { "created": "Mon, 1 May 2017 01:24:44 GMT", "version": "v6" } ]

2017-05-02

[ [ "Kimura", "Yusuke", "" ] ]

We determine the discrete gauge symmetries that arise in F-theory compactifications on examples of genus-one fibered Calabi-Yau 4-folds without a section. We construct genus-one fibered Calabi-Yau 4-folds using Fano manifolds, cyclic 3-fold covers of Fano 4-folds, and Segre embeddings of products of projective spaces. Discrete $\mathbb{Z}_5$, $\mathbb{Z}_4$, $\mathbb{Z}_3$ and $\mathbb{Z}_2$ symmetries arise in these constructions. We introduce a general method to obtain multisections for several constructions of genus-one fibered Calabi-Yau manifolds. The pullbacks of hyperplane classes under certain projections represent multisections to these genus-one fibrations. We determine the degrees of these multisections by computing the intersection numbers with fiber classes. As a result, we deduce the discrete gauge symmetries that arise in F-theory compactifications. This method applies to various Calabi-Yau genus-one fibrations.

4.930036

4.850965

5.750465

4.906242

5.306063

5.135289

4.903982

4.937228

4.92003

6.101854

4.82076

4.851698

4.972036

4.882609

4.933657

4.77457

4.759438

4.804805

4.864907

4.847742

4.796383

0710.5557

Marc de Montigny

M. Kobayashi, M. de Montigny, F.C. Khanna

CPT theorem in a (5+1) Galilean space-time

11 pages, 0 figure

Phys.Lett.A372:3541-3547,2008

10.1016/j.physleta.2008.02.024

null

hep-th

null

We extend the 5-dimensional Galilean space-time to a (5+1) Galilean space-time in order to define a parity transformation in a covariant manner. This allows us to discuss the discrete symmetries in the Galilean space-time, which is embedded in the (5+1) Minkowski space-time. We discuss the Dirac-type field, for which we give the 8\times 8 gamma matrices explicitly. We demonstrate that the CPT theorem holds in the (5+1) Galilean space-time.

[ { "created": "Tue, 30 Oct 2007 00:37:04 GMT", "version": "v1" } ]

2008-11-26

[ [ "Kobayashi", "M.", "" ], [ "de Montigny", "M.", "" ], [ "Khanna", "F. C.", "" ] ]

We extend the 5-dimensional Galilean space-time to a (5+1) Galilean space-time in order to define a parity transformation in a covariant manner. This allows us to discuss the discrete symmetries in the Galilean space-time, which is embedded in the (5+1) Minkowski space-time. We discuss the Dirac-type field, for which we give the 8\times 8 gamma matrices explicitly. We demonstrate that the CPT theorem holds in the (5+1) Galilean space-time.

6.66493

5.587573

6.091866

5.457686

5.773559

5.942023

6.020835

5.465432

5.822372

6.212587

5.633121

5.886964

5.908229

5.82116

5.912713

5.873777

5.911918

5.934054

5.685138

6.121724

5.791615

hep-th/0107002

Lubos Motl

Melvin Matrix Models

9 pages, JHEP LaTeX

null

HEP-UK-0011

hep-th

null

In this short note we construct the DLCQ description of the flux seven-branes in type IIA string theory and discuss its basic properties. The matrix model involves dipole fields. We explain the relation of this nonlocal matrix model to various orbifolds. We also give a spacetime interpretation of the Seiberg-Witten-like map, proposed in a different context first by Bergman and Ganor, that converts this matrix model to a local, highly nonlinear theory.

[ { "created": "Sat, 30 Jun 2001 01:32:11 GMT", "version": "v1" } ]

2007-05-23

[ [ "Motl", "Lubos", "" ] ]

In this short note we construct the DLCQ description of the flux seven-branes in type IIA string theory and discuss its basic properties. The matrix model involves dipole fields. We explain the relation of this nonlocal matrix model to various orbifolds. We also give a spacetime interpretation of the Seiberg-Witten-like map, proposed in a different context first by Bergman and Ganor, that converts this matrix model to a local, highly nonlinear theory.

16.429514

13.057852

17.831251

13.66521

12.538029

13.356729

13.007037

13.653013

12.247847

17.911175

14.003716

13.566786

15.244756

13.970216

13.447786

13.756747

13.539613

13.811389

13.907055

15.685337

13.79138

1304.5901

Anastasia Doikou

Transmission matrices in gl(N) & U_q(gl(N)) quantum spin chains

21 pages, Latex. Typos corrected

JHEP 08 (2013) 103

10.1007/JHEP08(2013)103

null

hep-th cond-mat.stat-mech math-ph math.MP nlin.SI

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

The gl(N) and U_q(gl(N)) quantum spin chains in the presence of integrable spin impurities are considered. Within the Bethe ansatz formulation, we derive the associated transmission amplitudes, and the corresponding transmission matrices -representations of the underlying quadratic algebra- that physically describe the interaction between the various particle-like excitations displayed by these models and the spin impurity.

[ { "created": "Mon, 22 Apr 2013 10:03:23 GMT", "version": "v1" }, { "created": "Thu, 22 Aug 2013 16:44:34 GMT", "version": "v2" } ]

2013-08-28

[ [ "Doikou", "Anastasia", "" ] ]

The gl(N) and U_q(gl(N)) quantum spin chains in the presence of integrable spin impurities are considered. Within the Bethe ansatz formulation, we derive the associated transmission amplitudes, and the corresponding transmission matrices -representations of the underlying quadratic algebra- that physically describe the interaction between the various particle-like excitations displayed by these models and the spin impurity.

18.752821

12.750322

17.939493

14.13903

16.013056

15.040758

18.731239

14.664804

14.302011

16.944487

14.560235

13.74272

14.965794

13.022744

13.831286

14.124755

13.70199

13.91394

13.812884

15.952913

14.748352

1411.3148

Elena-Mirela Babalic Dr

Elena Mirela Babalic, Calin Iuliu Lazaroiu

Foliated eight-manifolds for M-theory compactification

63 pages, 2 figures

JHEP01(2015)140

10.1007/JHEP01(2015)140

null

hep-th math.DG

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

We characterize compact eight-manifolds M which arise as internal spaces in N=1 flux compactifications of M-theory down to AdS3 using the theory of foliations, for the case when the internal part of the supersymmetry generator is everywhere non-chiral. We prove that specifying such a supersymmetric background is equivalent with giving a codimension one foliation of M which carries a leafwise G2 structure, such that the O'Neill-Gray tensors, non-adapted part of the normal connection and torsion classes of the G2 structure are given in terms of the supergravity four-form field strength by explicit formulas which we derive. We discuss the topology of such foliations, showing that the C star algebra of the foliation is a noncommutative torus of dimension given by the irrationality rank of a certain cohomology class constructed from the four-form field strength, which must satisfy the Latour obstruction. We also give a criterion in terms of this class for when such foliations are fibrations over the circle. When the criterion is not satisfied, each leaf of the foliation is dense in M.

[ { "created": "Wed, 12 Nov 2014 11:36:15 GMT", "version": "v1" }, { "created": "Tue, 10 Feb 2015 17:35:08 GMT", "version": "v2" } ]

2015-02-11

[ [ "Babalic", "Elena Mirela", "" ], [ "Lazaroiu", "Calin Iuliu", "" ] ]

We characterize compact eight-manifolds M which arise as internal spaces in N=1 flux compactifications of M-theory down to AdS3 using the theory of foliations, for the case when the internal part of the supersymmetry generator is everywhere non-chiral. We prove that specifying such a supersymmetric background is equivalent with giving a codimension one foliation of M which carries a leafwise G2 structure, such that the O'Neill-Gray tensors, non-adapted part of the normal connection and torsion classes of the G2 structure are given in terms of the supergravity four-form field strength by explicit formulas which we derive. We discuss the topology of such foliations, showing that the C star algebra of the foliation is a noncommutative torus of dimension given by the irrationality rank of a certain cohomology class constructed from the four-form field strength, which must satisfy the Latour obstruction. We also give a criterion in terms of this class for when such foliations are fibrations over the circle. When the criterion is not satisfied, each leaf of the foliation is dense in M.

9.790501

10.787186

13.292786

9.998808

11.385276

11.355812

10.465663

11.0532

9.76884

13.959685

10.374073

9.362804

10.406463

9.595782

9.440259

9.419225

9.358091

9.274795

9.666279

10.679655

9.478479

2011.04411

T. Padmanabhan

A class of QFTs with higher derivative field equations leading to standard dispersion relation for the particle excitations

null

Physics Letters B 811 (2020) 135912

10.1016/j.physletb.2020.135912

null

hep-th gr-qc

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

Given any (Feynman) propagator which is Lorentz and translation invariant, it is possible to construct an action functional for a scalar field such that the quantum field theory, obtained by path integral quantization, leads to this propagator. In general, such a theory will involve derivatives of the field higher than two and can even involve derivatives of infinite order. The poles of the given propagator determine the dispersion relation for the excitations of this field. I show that it is possible to construct field theories in which the dispersion relation is the same as that of standard Klein-Gordan field, even though the Lagrangian contains derivatives of infinite order. I provide a concrete example of this situation starting from a propagator which incorporates the effects of the zero-point-length of the spacetime. I compare the path integral approach with an alternative, operator-based approach, and highlight the advantages of using the former.

[ { "created": "Mon, 9 Nov 2020 13:26:49 GMT", "version": "v1" } ]

2020-11-10

[ [ "Padmanabhan", "T.", "" ] ]

Given any (Feynman) propagator which is Lorentz and translation invariant, it is possible to construct an action functional for a scalar field such that the quantum field theory, obtained by path integral quantization, leads to this propagator. In general, such a theory will involve derivatives of the field higher than two and can even involve derivatives of infinite order. The poles of the given propagator determine the dispersion relation for the excitations of this field. I show that it is possible to construct field theories in which the dispersion relation is the same as that of standard Klein-Gordan field, even though the Lagrangian contains derivatives of infinite order. I provide a concrete example of this situation starting from a propagator which incorporates the effects of the zero-point-length of the spacetime. I compare the path integral approach with an alternative, operator-based approach, and highlight the advantages of using the former.

7.644047

8.420443

7.371656

7.546099

8.507869

7.701281

9.00398

7.334067

7.369735

7.51733

7.39696

7.414682

7.367832

7.279485

7.312473

7.203515

7.436423

7.174002

7.391974

7.50532

7.585299

hep-th/0410072

Shankaranarayanan S.

S. Shankaranarayanan (ICTP, Trieste) and L. Sriramkumar (HRI, Allahabad)

Planck scale effects and the suppression of power on the large scales in the primordial spectrum

5 Pages, 2 Figures; Talk presented at PASCOS-04; To be published in proceedings (World Scientific, 2004)

null

10.1142/9789812701756_0005

null

hep-th astro-ph gr-qc

null

The enormous red-shifting of the modes during the inflationary epoch suggests that physics at the very high energy scales may modify the primordial perturbation spectrum. Therefore, the measurements of the anisotropies in the Cosmic Microwave Background (CMB) could provide us with clues to understanding physics beyond the Planck scale. In this proceeding, we study the Planck scale effects on the primordial spectrum in the power-law inflation using a model which preserves local Lorentz invariance. While our model reproduces the standard spectrum on small scales, it naturally predicts a suppression of power on the large scales -- a feature that seems to be necessary to explain deficit of power in the lower multipoles of the CMB.

[ { "created": "Thu, 7 Oct 2004 12:54:23 GMT", "version": "v1" } ]

2015-06-26

[ [ "Shankaranarayanan", "S.", "", "ICTP, Trieste" ], [ "Sriramkumar", "L.", "", "HRI,\n Allahabad" ] ]

The enormous red-shifting of the modes during the inflationary epoch suggests that physics at the very high energy scales may modify the primordial perturbation spectrum. Therefore, the measurements of the anisotropies in the Cosmic Microwave Background (CMB) could provide us with clues to understanding physics beyond the Planck scale. In this proceeding, we study the Planck scale effects on the primordial spectrum in the power-law inflation using a model which preserves local Lorentz invariance. While our model reproduces the standard spectrum on small scales, it naturally predicts a suppression of power on the large scales -- a feature that seems to be necessary to explain deficit of power in the lower multipoles of the CMB.

8.112319

7.653448

7.18939

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7.473896

7.871652

8.260018

7.103455

7.076386

7.978887

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7.25485

7.289411

7.397559

7.454988

7.312945

7.267509

7.262554

7.439377

7.35324

hep-th/9311039

Michael Martin Nieto

Generalized Squeezed States from Generalized Coherent States

12 pages, LA-UR-93-3731, to be published in the Proceedings of the International Symposium on Coherent States: Past, Present, and Future, LaTex

null

hep-th

null

Both the coherent states and also the squeezed states of the harmonic oscillator have long been understood from the three classical points of view: the 1) displacement operator, 2) annihilation- (or ladder-) operator, and minimum-uncertainty methods. For general systems, there is the same understanding except for ladder-operator and displacement-operator squeezed states. After reviewing the known concepts, I propose a method for obtaining generalized minimum-uncertainty squeezed states, give examples, and relate it to known concepts. I comment on the remaining concept, that of general displacement-operator squeezed states.

[ { "created": "Sat, 6 Nov 1993 19:32:17 GMT", "version": "v1" } ]

2007-05-23

[ [ "Nieto", "Michael Martin", "" ] ]

Both the coherent states and also the squeezed states of the harmonic oscillator have long been understood from the three classical points of view: the 1) displacement operator, 2) annihilation- (or ladder-) operator, and minimum-uncertainty methods. For general systems, there is the same understanding except for ladder-operator and displacement-operator squeezed states. After reviewing the known concepts, I propose a method for obtaining generalized minimum-uncertainty squeezed states, give examples, and relate it to known concepts. I comment on the remaining concept, that of general displacement-operator squeezed states.

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19.164255

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17.373213

16.932169

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15.950504

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