LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/9310171

Miroslav Doresic

V.Bardek, M.Doresic and S.Meljanac

Example of q-deformed Field Theory

13 pages,LaTex

Int. J. Mod. Phys. A9 (1994) 4185-4194

10.1142/S0217751X94001709

null

hep-th

null

The non-relativistic Chern-Simons theory with the single-valued anyonic field is proposed as an example of q-deformed field theory. The corresponding q-deformed algebra interpolating between bosons and fermions,both in position and momentum spaces, is analyzed.A possible generalization to a space with an arbitrary dimension is suggested.

[ { "created": "Tue, 26 Oct 1993 14:33:37 GMT", "version": "v1" } ]

2015-06-26

[ [ "Bardek", "V.", "" ], [ "Doresic", "M.", "" ], [ "Meljanac", "S.", "" ] ]

The non-relativistic Chern-Simons theory with the single-valued anyonic field is proposed as an example of q-deformed field theory. The corresponding q-deformed algebra interpolating between bosons and fermions,both in position and momentum spaces, is analyzed.A possible generalization to a space with an arbitrary dimension is suggested.

12.008847

10.273028

12.020064

10.48955

11.263812

10.394651

9.54876

10.631811

10.116027

13.839041

10.424173

11.064335

12.640553

11.969355

11.491976

11.68769

11.088754

11.243912

11.279983

11.989622

11.160674

0911.2665

Ioannis Bakas

Ioannis Bakas, Francois Bourliot, Dieter Lust, Marios Petropoulos

Mixmaster universe in Horava-Lifshitz gravity

1+35 pages, 4 figures

Class.Quant.Grav.27:045013,2010

10.1088/0264-9381/27/4/045013

CPHT-RR111.1109, LMU-ASC 48/09, MPP-2009-180

hep-th gr-qc

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

We consider spatially homogeneous (but generally non-isotropic) cosmologies in the recently proposed Horava-Lifshitz gravity and compare them to those of general relativity using Hamiltonian methods. In all cases, the problem is described by an effective point particle moving in a potential well with exponentially steep walls. Focusing on the closed-space cosmological model (Bianchi type IX), the mixmaster dynamics is now completely dominated by the quadratic Cotton tensor potential term for very small volume of the universe. Unlike general relativity, where the evolution towards the initial singularity always exhibits chaotic behavior with alternating Kasner epochs, the anisotropic universe in Horava-Lifshitz gravity (with parameter lambda > 1/3) is described by a particle moving in a frozen potential well with fixed (but arbitrary) energy E. Alternating Kasner epochs still provide a good description of the early universe for very large E, but the evolution appears to be non-ergodic. For very small E there are harmonic oscillations around the fully isotropic model. The question of chaos remains open for intermediate energy levels.

[ { "created": "Fri, 13 Nov 2009 17:57:35 GMT", "version": "v1" } ]

2011-02-25

[ [ "Bakas", "Ioannis", "" ], [ "Bourliot", "Francois", "" ], [ "Lust", "Dieter", "" ], [ "Petropoulos", "Marios", "" ] ]

We consider spatially homogeneous (but generally non-isotropic) cosmologies in the recently proposed Horava-Lifshitz gravity and compare them to those of general relativity using Hamiltonian methods. In all cases, the problem is described by an effective point particle moving in a potential well with exponentially steep walls. Focusing on the closed-space cosmological model (Bianchi type IX), the mixmaster dynamics is now completely dominated by the quadratic Cotton tensor potential term for very small volume of the universe. Unlike general relativity, where the evolution towards the initial singularity always exhibits chaotic behavior with alternating Kasner epochs, the anisotropic universe in Horava-Lifshitz gravity (with parameter lambda > 1/3) is described by a particle moving in a frozen potential well with fixed (but arbitrary) energy E. Alternating Kasner epochs still provide a good description of the early universe for very large E, but the evolution appears to be non-ergodic. For very small E there are harmonic oscillations around the fully isotropic model. The question of chaos remains open for intermediate energy levels.

11.153405

11.780639

10.229119

10.491212

11.138741

11.459359

11.556599

10.209954

10.594728

11.649254

11.081223

10.798649

10.493099

10.424191

10.711563

10.735345

11.210979

10.417023

10.956346

10.805263

10.929437

2405.02072

Thomas Van Riet

T. Hertog, S. Maenaut, B. Missoni, R. Tielemans, T. Van Riet

Stability of Axion-Saxion wormholes

29 pages, O(10) pictures, v2 reference updated

null

hep-th gr-qc

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

We reconsider the perturbative stability of Euclidean axion wormholes. The quadratic action that governs linear perturbations is derived directly in Euclidean gravity. We demonstrate explicitly that a stability analysis in which one treats the axion as a normal two-form gauge field is equivalent to one performed in the Hodge-dual formulation, where one considers the axion as a scalar with a wrong-sign kinetic term. Both analyses indicate that axion wormholes are perturbatively stable, even in the presence of a massless dilaton, or saxion, field that couples to the axion.

[ { "created": "Fri, 3 May 2024 13:05:47 GMT", "version": "v1" }, { "created": "Sun, 28 Jul 2024 10:15:57 GMT", "version": "v2" } ]

2024-07-30

[ [ "Hertog", "T.", "" ], [ "Maenaut", "S.", "" ], [ "Missoni", "B.", "" ], [ "Tielemans", "R.", "" ], [ "Van Riet", "T.", "" ] ]

We reconsider the perturbative stability of Euclidean axion wormholes. The quadratic action that governs linear perturbations is derived directly in Euclidean gravity. We demonstrate explicitly that a stability analysis in which one treats the axion as a normal two-form gauge field is equivalent to one performed in the Hodge-dual formulation, where one considers the axion as a scalar with a wrong-sign kinetic term. Both analyses indicate that axion wormholes are perturbatively stable, even in the presence of a massless dilaton, or saxion, field that couples to the axion.

9.11998

8.302555

8.294038

8.534656

7.787939

7.885938

7.986439

7.727121

7.972707

9.901261

8.202686

8.53445

8.427194

8.446739

8.506869

8.397065

8.331258

8.385478

8.701845

8.748092

8.436489

hep-th/9203075

null

E. Abdalla, M. Forger

Current Algebra of WZNW Models at and away from Criticality

10 pages

Mod. Phys. Lett. A7 (1992) 2437-2448

10.1142/S0217732392003888

null

hep-th

null

We derive the current algebra of principal chiral models with a Wess-Zumino term. At the critical coupling where the model becomes conformally invariant (Wess-Zumino-Novikov-Witten theory), this algebra reduces to two commuting Kac-Moody algebras, while in the limit where the coupling constant is taken to zero (ordinary chiral model), we recover the current algebra of that model. In this way, the latter is explicitly realized as a deformation of the former, with the coupling constant as the deformation parameter.

[ { "created": "Sat, 28 Mar 1992 16:23:00 GMT", "version": "v1" } ]

2015-06-26

[ [ "Abdalla", "E.", "" ], [ "Forger", "M.", "" ] ]

We derive the current algebra of principal chiral models with a Wess-Zumino term. At the critical coupling where the model becomes conformally invariant (Wess-Zumino-Novikov-Witten theory), this algebra reduces to two commuting Kac-Moody algebras, while in the limit where the coupling constant is taken to zero (ordinary chiral model), we recover the current algebra of that model. In this way, the latter is explicitly realized as a deformation of the former, with the coupling constant as the deformation parameter.

5.81016

5.835678

5.880346

5.157075

5.325333

5.077283

5.558911

5.430918

5.047252

5.379598

5.726479

5.558432

5.604663

5.321245

5.452018

5.415073

5.488311

5.479055

5.475016

5.767703

5.576794

hep-th/9604004

Jacques Distler

Luis Alvarez-Gaume, Jacques Distler, Costas Kounnas and Marcos Marino

Large Softly broken N=2 QCD

40 pages, LaTeX, 13 figures, uses epsf.sty

Int.J.Mod.Phys.A11:4745-4777,1996

10.1142/S0217751X96002170

CERN-TH/9669, US-FT-13/96, UTTG-96-03

hep-th

null

We analyze the possible soft breaking of $N=2$ supersymmetric Yang-Mills theory with and without matter flavour preserving the analyticity properties of the Seiberg-Witten solution. For small supersymmetry breaking parameter with respect to the dynamical scale of the theory we obtain an exact expression for the effective potential. We describe in detail the onset of the confinement transition and some of the patterns of chiral symmetry breaking. If we extrapolate the results to the limit where supersymmetry decouples, we obtain hints indicating that perhaps a description of the QCD vacuum will require the use of Lagrangians containing simultaneously mutually non-local degrees of freedom (monopoles and dyons).

[ { "created": "Mon, 1 Apr 1996 20:34:30 GMT", "version": "v1" } ]

2009-07-09

[ [ "Alvarez-Gaume", "Luis", "" ], [ "Distler", "Jacques", "" ], [ "Kounnas", "Costas", "" ], [ "Marino", "Marcos", "" ] ]

We analyze the possible soft breaking of $N=2$ supersymmetric Yang-Mills theory with and without matter flavour preserving the analyticity properties of the Seiberg-Witten solution. For small supersymmetry breaking parameter with respect to the dynamical scale of the theory we obtain an exact expression for the effective potential. We describe in detail the onset of the confinement transition and some of the patterns of chiral symmetry breaking. If we extrapolate the results to the limit where supersymmetry decouples, we obtain hints indicating that perhaps a description of the QCD vacuum will require the use of Lagrangians containing simultaneously mutually non-local degrees of freedom (monopoles and dyons).

10.32192

8.584851

11.008236

8.942887

10.499473

9.388009

10.026165

9.483857

9.29212

11.462072

9.625827

9.390355

10.072848

9.581878

10.014485

9.783062

9.834178

9.38583

9.541314

10.207554

9.911861

1612.05123

Gianluca Inverso

Gianluca Inverso, Henning Samtleben and Mario Trigiante

Type II origin of dyonic gaugings

32 pages, v2: new appendix on relation to N=4 Janus solutions, version to appear in PRD

Phys. Rev. D 95, 066020 (2017)

10.1103/PhysRevD.95.066020

null

hep-th

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

Dyonic gaugings of four-dimensional supergravity typically exhibit a richer vacuum structure compared to their purely electric counterparts, but their higher-dimensional origin often remains more mysterious. We consider a class of dyonic gaugings with gauge groups of the type (SO(p,q)xSO(p',q'))$\ltimes N$ with $N$ nilpotent. Using generalized Scherk-Schwarz reductions of exceptional field theory, we show how these four-dimensional gaugings may be consistently embedded in Type II supergravity upon compactification around products of spheres and hyperboloids. As an application, we give the explicit uplift of the N=4 AdS$_4$ vacuum of the theory with gauge group (SO(6)xSO(1,1))$\ltimes T^{12}$ into a supersymmetric AdS$_4$x$M_5$x$S^1$ S-fold solution of IIB supergravity. The internal space $M_5$ is a squashed $S^5$ preserving an SO(4)$ \subset $ SO(6) subset of its isometries.

[ { "created": "Thu, 15 Dec 2016 16:02:58 GMT", "version": "v1" }, { "created": "Thu, 30 Mar 2017 13:33:56 GMT", "version": "v2" } ]

2017-04-05

[ [ "Inverso", "Gianluca", "" ], [ "Samtleben", "Henning", "" ], [ "Trigiante", "Mario", "" ] ]

Dyonic gaugings of four-dimensional supergravity typically exhibit a richer vacuum structure compared to their purely electric counterparts, but their higher-dimensional origin often remains more mysterious. We consider a class of dyonic gaugings with gauge groups of the type (SO(p,q)xSO(p',q'))$\ltimes N$ with $N$ nilpotent. Using generalized Scherk-Schwarz reductions of exceptional field theory, we show how these four-dimensional gaugings may be consistently embedded in Type II supergravity upon compactification around products of spheres and hyperboloids. As an application, we give the explicit uplift of the N=4 AdS$_4$ vacuum of the theory with gauge group (SO(6)xSO(1,1))$\ltimes T^{12}$ into a supersymmetric AdS$_4$x$M_5$x$S^1$ S-fold solution of IIB supergravity. The internal space $M_5$ is a squashed $S^5$ preserving an SO(4)$ \subset $ SO(6) subset of its isometries.

6.65553

6.091936

8.292404

6.108197

6.341941

7.176361

6.314253

6.705167

6.086782

8.233956

6.56828

6.12289

6.81754

6.315307

6.357412

6.165801

6.115747

5.901069

6.076542

6.600664

5.957868

1412.3382

Mikhail Shifman

M. Shifman, K. Stepanyantz

Exact Adler Function in Supersymmetric QCD

5 pages, 1 figure

Phys. Rev. Lett. 114, 051601 (2015)

10.1103/PhysRevLett.114.051601

FTPI-MINN-14/41, UMN-TH-3412/14

hep-th hep-ph

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

The Adler function D is found {\em exactly} in supersymmetric QCD. Our exact formula relates D(Q^2) to the anomalous dimension of the matter superfields \gamma (\alpha_s(Q^2)). En rout we prove another theorem: the absence of the so-called singlet contribution to D. While such singlet contributions are present in individual supergraphs, they cancel in the sum.

[ { "created": "Wed, 10 Dec 2014 17:41:29 GMT", "version": "v1" } ]

2015-03-05

[ [ "Shifman", "M.", "" ], [ "Stepanyantz", "K.", "" ] ]

The Adler function D is found {\em exactly} in supersymmetric QCD. Our exact formula relates D(Q^2) to the anomalous dimension of the matter superfields \gamma (\alpha_s(Q^2)). En rout we prove another theorem: the absence of the so-called singlet contribution to D. While such singlet contributions are present in individual supergraphs, they cancel in the sum.

16.79295

15.523783

14.974259

11.851428

14.098233

13.771918

16.268351

15.629818

13.876882

15.009205

14.979633

13.217577

13.029335

12.908883

13.156375

13.583383

13.119058

13.274686

12.527965

14.440202

13.530478

hep-th/9706179

Ilya L. Shapiro

A.L. Maroto (Universidad Autonoma de Madrid) I.L. Shapiro (Universidade Federal de Juiz de Fora and Tomsk State Pedagogical University)

On the inflationary solutions in higher-derivative gravity with dilaton field

13 pages, LaTeX, no figures

Phys.Lett.B414:34-44,1997

10.1016/S0370-2693(97)01146-5

FTUAM/97-2; NF/DF-01/97

hep-th

null

We discuss the existence of de Sitter inflationary solutions for the string-inspired fourth-derivative gravity theories with dilaton field. We consider a space-time of arbitrary dimension D and an arbitrary parametrization of the target space metric. The specific features of the theory in dimension D=4 and those of the special ghost-free parametrization of the metric are found. We also consider similar string-inspired theories with torsion and construct an inflationary solution with torsion and dilaton for D=4. The stability of the inflationary solutions is also investigated.

[ { "created": "Wed, 25 Jun 1997 13:49:53 GMT", "version": "v1" } ]

2016-09-06

[ [ "Maroto", "A. L.", "", "Universidad Autonoma de Madrid" ], [ "Shapiro", "I. L.", "", "Universidade Federal de Juiz de Fora and Tomsk State Pedagogical University" ] ]

We discuss the existence of de Sitter inflationary solutions for the string-inspired fourth-derivative gravity theories with dilaton field. We consider a space-time of arbitrary dimension D and an arbitrary parametrization of the target space metric. The specific features of the theory in dimension D=4 and those of the special ghost-free parametrization of the metric are found. We also consider similar string-inspired theories with torsion and construct an inflationary solution with torsion and dilaton for D=4. The stability of the inflationary solutions is also investigated.

9.811619

9.496107

8.344467

8.293017

8.056535

8.682148

9.304513

7.834244

8.608128

8.844668

8.684429

8.666023

9.228753

9.030571

9.185945

9.330248

9.258172

8.98472

8.970724

9.292567

9.02209

hep-th/0601003

Karim Benakli

I. Antoniadis, K. Benakli, A. Delgado, M. Quir\'os and M. Tuckmantel

Split extended supersymmetry from intersecting branes

32 pages, 3 figures

Nucl.Phys.B744:156-179,2006

10.1016/j.nuclphysb.2006.03.012

null

hep-th hep-ph

null

We study string realizations of split extended supersymmetry, recently proposed in hep-ph/0507192. Supersymmetry is broken by small ($\epsilon $) deformations of intersection angles of $D$-branes giving tree-level masses of order $m_0^2\sim \epsilon M_s^2$, where $M_s$ is the string scale, to localized scalars. We show through an explicit one-loop string amplitude computation that gauginos acquire hierarchically smaller Dirac masses $m_{1/2}^D \sim m_0^2/M_s$. We also evaluate the one-loop Higgsino mass, $\mu$, and show that, in the absence of tree-level contributions, it behaves as $\mu\sim m_0^4/M_s^3$. Finally we discuss an alternative suppression of scales using large extra dimensions. The latter is illustrated, for the case where the gauge bosons appear in N=4 representations, by an explicit string model with Standard Model gauge group, three generations of quarks and leptons and gauge coupling unification.

[ { "created": "Fri, 30 Dec 2005 21:03:26 GMT", "version": "v1" } ]

2008-11-26

[ [ "Antoniadis", "I.", "" ], [ "Benakli", "K.", "" ], [ "Delgado", "A.", "" ], [ "Quirós", "M.", "" ], [ "Tuckmantel", "M.", "" ] ]

We study string realizations of split extended supersymmetry, recently proposed in hep-ph/0507192. Supersymmetry is broken by small ($\epsilon $) deformations of intersection angles of $D$-branes giving tree-level masses of order $m_0^2\sim \epsilon M_s^2$, where $M_s$ is the string scale, to localized scalars. We show through an explicit one-loop string amplitude computation that gauginos acquire hierarchically smaller Dirac masses $m_{1/2}^D \sim m_0^2/M_s$. We also evaluate the one-loop Higgsino mass, $\mu$, and show that, in the absence of tree-level contributions, it behaves as $\mu\sim m_0^4/M_s^3$. Finally we discuss an alternative suppression of scales using large extra dimensions. The latter is illustrated, for the case where the gauge bosons appear in N=4 representations, by an explicit string model with Standard Model gauge group, three generations of quarks and leptons and gauge coupling unification.

7.895015

8.43172

7.738659

7.123877

8.723101

8.470957

8.132802

7.846547

7.602814

8.110868

7.443853

7.7862

7.408036

7.636472

7.726206

7.74293

7.740169

7.754635

7.477538

7.474842

7.587735

2106.07957

Joan Elias Mir\'o

Joan Elias Mir\'o, Andrea Guerrieri

Dual EFT Bootstrap: QCD flux tubes

21 pages + appendices + references

null

hep-th hep-ph

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

We develop a bootstrap approach to Effective Field Theories (EFTs) based on the concept of duality in optimisation theory. As a first application, we consider the fascinating set of EFTs for confining flux tubes. The outcome of our analysis are optimal bounds on the scattering amplitude of Goldstone excitations of the flux tube, which in turn translate into bounds on the Wilson coefficients of the EFT action. Finally, we comment on how our approach compares to EFT positivity bounds.

[ { "created": "Tue, 15 Jun 2021 08:19:00 GMT", "version": "v1" } ]

2021-06-16

[ [ "Miró", "Joan Elias", "" ], [ "Guerrieri", "Andrea", "" ] ]

We develop a bootstrap approach to Effective Field Theories (EFTs) based on the concept of duality in optimisation theory. As a first application, we consider the fascinating set of EFTs for confining flux tubes. The outcome of our analysis are optimal bounds on the scattering amplitude of Goldstone excitations of the flux tube, which in turn translate into bounds on the Wilson coefficients of the EFT action. Finally, we comment on how our approach compares to EFT positivity bounds.

11.048774

7.969951

10.315049

8.207919

8.479935

8.019403

8.152657

8.182771

8.109129

9.962534

8.320208

8.535228

9.594142

8.74702

8.662062

8.870058

8.625362

8.469622

8.574754

9.222214

8.392816

1902.05273

Yu Nakayama

Conformal equations that are not Virasoro or Weyl invariant

18 pages, v2: appendix added

null

10.1007/s11005-019-01186-8

RUP-19-5

hep-th

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

While the argument by Zamolodchikov and Polchinski suggests global conformal invariance implies Virasoro invariance in two-dimensional unitary conformal field theories with discrete dilatation spectrum, it is not the case in more general situations without these assumptions. We indeed show that almost all the globally conformal invariant differential equations in two dimensions are neither Virasoro invariant nor Weyl invariant. The only exceptions are the higher spin conservation laws, conformal Killing tensor equations and the Laplace equation of a conformal scalar.

[ { "created": "Thu, 14 Feb 2019 09:16:06 GMT", "version": "v1" }, { "created": "Wed, 27 Feb 2019 06:19:43 GMT", "version": "v2" } ]

2019-05-22

[ [ "Nakayama", "Yu", "" ] ]

While the argument by Zamolodchikov and Polchinski suggests global conformal invariance implies Virasoro invariance in two-dimensional unitary conformal field theories with discrete dilatation spectrum, it is not the case in more general situations without these assumptions. We indeed show that almost all the globally conformal invariant differential equations in two dimensions are neither Virasoro invariant nor Weyl invariant. The only exceptions are the higher spin conservation laws, conformal Killing tensor equations and the Laplace equation of a conformal scalar.

10.384294

10.028575

11.048968

10.153967

10.093567

9.295738

11.410675

9.31359

9.71205

12.067778

9.335121

8.577063

8.869705

8.971667

9.37958

9.220387

9.218188

8.932975

8.604535

8.750443

9.342758

1611.08125

Karl Landsteiner

Christian Copetti, Jorge Fern\'andez-Pend\'as, Karl Landsteiner

Axial Hall effect and universality of holographic Weyl semi-metals

27 pages, 9 figures, v2: references added, some typos fixed; v3 minor changes

null

10.1007/JHEP02(2017)138

IFT-UAM/CSIC-16-132

hep-th cond-mat.str-el

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

The holographic Weyl semimetal is a model of a strongly coupled topological semi-metal. A topological quantum phase transition separates a topological phase with non-vanishing anomalous Hall conductivity from a trivial state. We investigate how this phase transition depends on the parameters of the scalar potential (mass and quartic self coupling) finding that the quantum phase transition persists for a large region in parameter space. We then compute the axial Hall conductivity. The algebraic structure of the axial anomaly predicts it to be 1/3 of the electric Hall conductivity. We find that this holds once a non-trivial renormalization effect on the external axial gauge fields is taken into account. Finally we show that the phase transition also occurs in a top-down model based on a consistent truncation of type IIB supergravity.

[ { "created": "Thu, 24 Nov 2016 10:13:06 GMT", "version": "v1" }, { "created": "Mon, 12 Dec 2016 16:12:00 GMT", "version": "v2" }, { "created": "Wed, 22 Feb 2017 09:23:00 GMT", "version": "v3" } ]

2017-04-05

[ [ "Copetti", "Christian", "" ], [ "Fernández-Pendás", "Jorge", "" ], [ "Landsteiner", "Karl", "" ] ]

The holographic Weyl semimetal is a model of a strongly coupled topological semi-metal. A topological quantum phase transition separates a topological phase with non-vanishing anomalous Hall conductivity from a trivial state. We investigate how this phase transition depends on the parameters of the scalar potential (mass and quartic self coupling) finding that the quantum phase transition persists for a large region in parameter space. We then compute the axial Hall conductivity. The algebraic structure of the axial anomaly predicts it to be 1/3 of the electric Hall conductivity. We find that this holds once a non-trivial renormalization effect on the external axial gauge fields is taken into account. Finally we show that the phase transition also occurs in a top-down model based on a consistent truncation of type IIB supergravity.

7.285273

6.610554

7.515957

6.325205

6.407455

6.879373

6.988988

6.643301

6.338823

7.301826

6.405302

6.627544

6.897281

6.873271

7.188793

7.080091

6.954198

6.833446

6.745917

6.915529

6.80721

hep-th/9407166

Marco Vekic

Marco Vekic, Shao Liu, and Herbert W. Hamber

Random Ising Spins in Two Dimensions - A Flat Space Realization of the KPZ Exponents

RevTeX 3.0, 17 pages + 15 postscript figures available upon request, CERN-TH-7355/94

Phys.Rev. D51 (1995) 4287-4294

10.1103/PhysRevD.51.4287

null

hep-th cond-mat hep-lat

null

A model describing Ising spins with short range interactions moving randomly in a plane is considered. In the presence of a hard core repulsion, which prevents the Ising spins from overlapping, the model is analogous to a dynamically triangulated Ising model with spins constrained to move on a flat surface. As a function of coupling strength and hard core repulsion the model exhibits multicritical behavior, with first and second order transition lines terminating at a tricritical point. The thermal and magnetic exponents computed at the tricritical point are consistent with the KPZ values associated with Ising spins, and with the exact two-matrix model solution of the random Ising model, introduced previously to describe the effects of fluctuating geometries.

[ { "created": "Mon, 25 Jul 1994 18:44:15 GMT", "version": "v1" }, { "created": "Wed, 27 Jul 1994 00:45:46 GMT", "version": "v2" } ]

2009-10-28

[ [ "Vekic", "Marco", "" ], [ "Liu", "Shao", "" ], [ "Hamber", "Herbert W.", "" ] ]

A model describing Ising spins with short range interactions moving randomly in a plane is considered. In the presence of a hard core repulsion, which prevents the Ising spins from overlapping, the model is analogous to a dynamically triangulated Ising model with spins constrained to move on a flat surface. As a function of coupling strength and hard core repulsion the model exhibits multicritical behavior, with first and second order transition lines terminating at a tricritical point. The thermal and magnetic exponents computed at the tricritical point are consistent with the KPZ values associated with Ising spins, and with the exact two-matrix model solution of the random Ising model, introduced previously to describe the effects of fluctuating geometries.

9.47796

6.454637

9.088579

7.507236

7.434413

7.366051

7.145108

6.676868

7.011339

10.667702

7.787961

8.648582

9.454233

8.687142

8.723801

8.519047

8.590113

8.673026

8.675463

9.412845

8.600389

2201.09364

Eric Lescano

Eric Lescano and Sourav Roychowdhury

Heterotic Kerr-Schild Double Field Theory and its double Yang-Mills formulation

33 pages, v2: Section 6 (Discussion) with clarifications. We are very grateful to our anonymous JHEP referee. Matches published version

JHEP04(2022)090

10.1007/JHEP04(2022)090

null

hep-th

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

We present a formulation of heterotic Double Field Theory (DFT), where the fundamental fields are in $O(D,D)$ representations. The theory is obtained splitting an $O(D,D+K)$ duality invariant DFT. This procedure produces a Green-Schwarz mechanism for the generalized metric, and a fundamental gauge field which transforms as a gauge connection only to leading order. After parametrization, the former induces a non-covariant transformation on the metric tensor, which can be removed considering field redefinitions, and an ordinary Green-Schwarz mechanism on the b-field. Within this framework we explore perturbative properties of heterotic DFT. We use a relaxed version of the generalized Kerr-Schild ansatz (GKSA), where the generalized background metric is perturbed up to quadratic order considering a single null vector and the gauge field is linearly perturbed before parametrization. Finally we compare the dynamics of the gauge field and the generalized metric in order to inspect the behavior of the classical double copy correspondence at the DFT level.

[ { "created": "Sun, 23 Jan 2022 20:55:50 GMT", "version": "v1" }, { "created": "Mon, 25 Apr 2022 12:43:18 GMT", "version": "v2" } ]

2022-04-26

[ [ "Lescano", "Eric", "" ], [ "Roychowdhury", "Sourav", "" ] ]

We present a formulation of heterotic Double Field Theory (DFT), where the fundamental fields are in $O(D,D)$ representations. The theory is obtained splitting an $O(D,D+K)$ duality invariant DFT. This procedure produces a Green-Schwarz mechanism for the generalized metric, and a fundamental gauge field which transforms as a gauge connection only to leading order. After parametrization, the former induces a non-covariant transformation on the metric tensor, which can be removed considering field redefinitions, and an ordinary Green-Schwarz mechanism on the b-field. Within this framework we explore perturbative properties of heterotic DFT. We use a relaxed version of the generalized Kerr-Schild ansatz (GKSA), where the generalized background metric is perturbed up to quadratic order considering a single null vector and the gauge field is linearly perturbed before parametrization. Finally we compare the dynamics of the gauge field and the generalized metric in order to inspect the behavior of the classical double copy correspondence at the DFT level.

12.029915

13.327369

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13.325847

11.925565

12.62654

13.640971

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12.024651

11.746167

12.346474

12.206346

11.842251

12.1926

11.891966

12.346045

11.657776

hep-th/0610033

Aaron Simons

Paul S. Aspinwall, Alexander Maloney and Aaron Simons

Black Hole Entropy, Marginal Stability and Mirror Symmetry

24 pages

JHEP0707:034,2007

10.1088/1126-6708/2007/07/034

DUKE-CGTP-06-01, SLAC-PUB-12048

hep-th

null

We consider the superconformal quantum mechanics associated to BPS black holes in type IIB Calabi-Yau compactifications. This quantum mechanics describes the dynamics of D-branes in the near-horizon attractor geometry of the black hole. In many cases, the black hole entropy can be found by counting the number of chiral primaries in this quantum mechanics. Both the attractor mechanism and notions of marginal stability play important roles in generating the large number of microstates required to explain this entropy. We compute the microscopic entropy explicitly in a few different cases, where the theory reduces to quantum mechanics on the moduli space of special Lagrangians. Under certain assumptions, the problem may be solved by implementing mirror symmetry as three T-dualities: this is essentially the mirror of a calculation by Gaiotto, Strominger and Yin. In some simple cases, the calculation may be done in greater generality without resorting to conjectures about mirror symmetry. For example, the K3xT^2 case may be studied precisely using the Fourier-Mukai transform.

[ { "created": "Tue, 3 Oct 2006 16:11:02 GMT", "version": "v1" } ]

2008-11-26

[ [ "Aspinwall", "Paul S.", "" ], [ "Maloney", "Alexander", "" ], [ "Simons", "Aaron", "" ] ]

We consider the superconformal quantum mechanics associated to BPS black holes in type IIB Calabi-Yau compactifications. This quantum mechanics describes the dynamics of D-branes in the near-horizon attractor geometry of the black hole. In many cases, the black hole entropy can be found by counting the number of chiral primaries in this quantum mechanics. Both the attractor mechanism and notions of marginal stability play important roles in generating the large number of microstates required to explain this entropy. We compute the microscopic entropy explicitly in a few different cases, where the theory reduces to quantum mechanics on the moduli space of special Lagrangians. Under certain assumptions, the problem may be solved by implementing mirror symmetry as three T-dualities: this is essentially the mirror of a calculation by Gaiotto, Strominger and Yin. In some simple cases, the calculation may be done in greater generality without resorting to conjectures about mirror symmetry. For example, the K3xT^2 case may be studied precisely using the Fourier-Mukai transform.

7.94735

8.432984

9.592248

7.908662

8.539304

8.547949

8.345104

7.983572

8.272316

9.95986

7.540243

7.789019

8.442702

7.618215

7.583637

7.828359

7.984659

7.783796

7.568856

8.437684

7.771919

hep-th/9909224

Igor Krichever

I. M. Krichever (Columbia University and Landau Institute for Theoretical Physics)

Elliptic analog of the Toda lattice

25 pages, LaTeX

null

hep-th

null

The action-angle variables for N-particle Hamiltonian system with the Hamiltonian $H=\sum_{n=0}^{N-1} \ln sh^{-2}(p_n/2)+\ln(\wp(x_n-x_{n+1})- \wp(x_n+x_{n+1})), x_N=x_0,$ are constructed, and the system is solved in terms of the Riemann $\theta$-functions. It is shown that this system describes pole dynamics of the elliptic solutions of 2D Toda lattice corresponding to spectral curves defined by the equation $w^2-P_{N}^{el}(z)w+\Lambda^{2N}=0$, where $P_{N}^{el}(z)$ is an elliptic function with pole of order N at the point z=0.

[ { "created": "Thu, 30 Sep 1999 13:27:39 GMT", "version": "v1" }, { "created": "Thu, 4 Nov 1999 17:17:51 GMT", "version": "v2" } ]

2007-05-23

[ [ "Krichever", "I. M.", "", "Columbia University and Landau Institute for\n Theoretical Physics" ] ]

The action-angle variables for N-particle Hamiltonian system with the Hamiltonian $H=\sum_{n=0}^{N-1} \ln sh^{-2}(p_n/2)+\ln(\wp(x_n-x_{n+1})- \wp(x_n+x_{n+1})), x_N=x_0,$ are constructed, and the system is solved in terms of the Riemann $\theta$-functions. It is shown that this system describes pole dynamics of the elliptic solutions of 2D Toda lattice corresponding to spectral curves defined by the equation $w^2-P_{N}^{el}(z)w+\Lambda^{2N}=0$, where $P_{N}^{el}(z)$ is an elliptic function with pole of order N at the point z=0.

6.261842

7.037703

7.440109

6.540276

7.136791

7.096977

6.714044

6.986744

6.332026

8.389617

6.448125

6.567121

6.794055

6.21731

6.192153

6.200428

6.494355

6.620138

6.281588

6.741796

6.27629

1906.04853

Steven Weinberg

Raphael Flauger, Steven Weinberg

Absorption of Gravitational Waves from Distant Sources

null

Phys. Rev. D 99, 123030 (2019)

10.1103/PhysRevD.99.123030

UTTG-03-19

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

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

The rate of gravitational wave absorption by inverse bremsstrahlung is calculated. It increases with decreasing frequency $\nu$ as $\nu^{-3}$. Nevertheless, because of the near cancellation of absorption by stimulated emission, the ionized gas in galaxy clusters does not block gravitational waves at the nanohertz frequencies that may be detected by the use of pulsar timing observations.

[ { "created": "Tue, 11 Jun 2019 22:54:36 GMT", "version": "v1" } ]

2019-07-03

[ [ "Flauger", "Raphael", "" ], [ "Weinberg", "Steven", "" ] ]

The rate of gravitational wave absorption by inverse bremsstrahlung is calculated. It increases with decreasing frequency $\nu$ as $\nu^{-3}$. Nevertheless, because of the near cancellation of absorption by stimulated emission, the ionized gas in galaxy clusters does not block gravitational waves at the nanohertz frequencies that may be detected by the use of pulsar timing observations.

10.438334

12.499742

10.152308

9.697568

10.335986

12.16877

10.477113

10.853721

9.816033

9.994106

11.378405

10.624171

9.506311

9.37885

9.665295

9.232054

10.338542

9.474031

10.121468

9.495602

11.602088

2402.00494

Joerg Teschner

Davide Gaiotto and J\"org Teschner

Quantum Analytic Langlands Correspondence

88 pages

null

DESY-24-017

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

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

The analytic Langlands correspondence describes the solution to the spectral problem for the quantised Hitchin Hamiltonians. It is related to the S-duality of $\cal{N}=4$ super Yang-Mills theory. We propose a one-parameter deformation of the Analytic Langlands Correspondence, and discuss its relations to quantum field theory. The partition functions of the $H_3^+$ WZNW model are interpreted as the wave-functions of a spherical vector in the quantisation of complex Chern-Simons theory. Verlinde line operators generate a representation of two copies of the quantised skein algebra on generalised partition functions. We conjecture that this action generates a basis for the underlying Hilbert space, and explain in which sense the resulting quantum theory represents a deformation of the Analytic Langlands Correspondence.

[ { "created": "Thu, 1 Feb 2024 11:05:06 GMT", "version": "v1" } ]

2024-02-02

[ [ "Gaiotto", "Davide", "" ], [ "Teschner", "Jörg", "" ] ]

The analytic Langlands correspondence describes the solution to the spectral problem for the quantised Hitchin Hamiltonians. It is related to the S-duality of $\cal{N}=4$ super Yang-Mills theory. We propose a one-parameter deformation of the Analytic Langlands Correspondence, and discuss its relations to quantum field theory. The partition functions of the $H_3^+$ WZNW model are interpreted as the wave-functions of a spherical vector in the quantisation of complex Chern-Simons theory. Verlinde line operators generate a representation of two copies of the quantised skein algebra on generalised partition functions. We conjecture that this action generates a basis for the underlying Hilbert space, and explain in which sense the resulting quantum theory represents a deformation of the Analytic Langlands Correspondence.

10.343624

9.01317

12.064903

8.595237

10.04468

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8.944084

8.911939

9.770899

12.322609

9.095739

9.429486

10.15552

9.340742

9.349661

9.410055

9.541398

9.284011

9.703727

9.538082

9.055397

1608.04408

Katy Clough Dr

Katy Clough, Eugene A. Lim, Brandon S. DiNunno, Willy Fischler, Raphael Flauger, Sonia Paban

Robustness of Inflation to Inhomogeneous Initial Conditions

14 pages, 14 figures, updated for journal version and amended sign convention for chi

JCAP 1709 (2017) no.09, 025

10.1088/1475-7516/2017/09/025

KCL-PH-TH/2016-53

hep-th astro-ph.CO gr-qc

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

We consider the effects of inhomogeneous initial conditions in both the scalar field profile and the extrinsic curvature on different inflationary models. In particular, we compare the robustness of small field inflation to that of large field inflation, using numerical simulations with Einstein gravity in 3+1 dimensions. We find that small field inflation can fail in the presence of subdominant gradient energies, suggesting that it is much less robust to inhomogeneities than large field inflation, which withstands dominant gradient energies. However, we also show that small field inflation can be successful even if some regions of spacetime start out in the region of the potential that does not support inflation. In the large field case, we confirm previous results that inflation is robust if the inflaton occupies the inflationary part of the potential. Furthermore, we show that increasing initial scalar gradients will not form sufficiently massive inflation-ending black holes if the initial hypersurface is approximately flat. Finally, we consider the large field case with a varying extrinsic curvature K, such that some regions are initially collapsing. We find that this may again lead to local black holes, but overall the spacetime remains inflationary if the spacetime is open, which confirms previous theoretical studies.

[ { "created": "Mon, 15 Aug 2016 21:05:46 GMT", "version": "v1" }, { "created": "Wed, 20 Dec 2017 07:35:17 GMT", "version": "v2" } ]

2017-12-21

[ [ "Clough", "Katy", "" ], [ "Lim", "Eugene A.", "" ], [ "DiNunno", "Brandon S.", "" ], [ "Fischler", "Willy", "" ], [ "Flauger", "Raphael", "" ], [ "Paban", "Sonia", "" ] ]

We consider the effects of inhomogeneous initial conditions in both the scalar field profile and the extrinsic curvature on different inflationary models. In particular, we compare the robustness of small field inflation to that of large field inflation, using numerical simulations with Einstein gravity in 3+1 dimensions. We find that small field inflation can fail in the presence of subdominant gradient energies, suggesting that it is much less robust to inhomogeneities than large field inflation, which withstands dominant gradient energies. However, we also show that small field inflation can be successful even if some regions of spacetime start out in the region of the potential that does not support inflation. In the large field case, we confirm previous results that inflation is robust if the inflaton occupies the inflationary part of the potential. Furthermore, we show that increasing initial scalar gradients will not form sufficiently massive inflation-ending black holes if the initial hypersurface is approximately flat. Finally, we consider the large field case with a varying extrinsic curvature K, such that some regions are initially collapsing. We find that this may again lead to local black holes, but overall the spacetime remains inflationary if the spacetime is open, which confirms previous theoretical studies.

8.783152

10.179711

9.257103

9.166937

9.296049

9.960843

10.097762

9.415065

9.179252

9.370813

9.184098

8.878653

8.688344

8.649961

8.816709

8.831008

8.868635

8.92587

9.038132

8.907483

8.921482

hep-th/9903098

Pankaj Sharan

Pankaj Sharan, Anupama Mehra, Krishnendu Dasgupta, M. Sami (Jamia Millia Islamia, New Delhi, INDIA)

Gauge conditions for an Abelian Chern-Simons system consistent with equations of motion

9 pages, Latex. To appear in Nuovo Cimento

Nuovo Cim. B114 (1999) 861-871

null

hep-th

null

Complete constraint analysis and choice of gauge conditions consistent with equations of motion is done for Abelian Chern Simons field interacting minimally with a complex scalar field. The Dirac-Schwinger consistency condition is satisfied by the reduced phase space Hamiltonian density with respect to the the Dirac bracket. It is shown that relativistic invariance under boosts can be obtained only if gauge conditions were chosen consistent with the equations of motion. Moreover all gauge invariant quantities are shown to be free of transformation anomaly.

[ { "created": "Thu, 11 Mar 1999 09:33:01 GMT", "version": "v1" } ]

2007-05-23

[ [ "Sharan", "Pankaj", "", "Jamia\n Millia Islamia, New Delhi, INDIA" ], [ "Mehra", "Anupama", "", "Jamia\n Millia Islamia, New Delhi, INDIA" ], [ "Dasgupta", "Krishnendu", "", "Jamia\n Millia Islamia, New Delhi, INDIA" ], [ "Sami", "M.", "", "Jamia\n Millia Islamia, New Delhi, INDIA" ] ]

Complete constraint analysis and choice of gauge conditions consistent with equations of motion is done for Abelian Chern Simons field interacting minimally with a complex scalar field. The Dirac-Schwinger consistency condition is satisfied by the reduced phase space Hamiltonian density with respect to the the Dirac bracket. It is shown that relativistic invariance under boosts can be obtained only if gauge conditions were chosen consistent with the equations of motion. Moreover all gauge invariant quantities are shown to be free of transformation anomaly.

14.959986

11.317909

17.304527

11.782907

13.552835

13.073044

13.88206

11.699477

11.481637

16.97967

11.733245

11.977198

14.100358

12.735387

13.003332

12.738372

12.907982

12.296041

13.012671

14.599686

12.837274

2405.03683

Ivano Basile

Christian Aoufia, Ivano Basile, Giorgio Leone

Species scale, worldsheet CFTs and emergent geometry

35 pages

null

hep-th

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

We study infinite-distance limits in the moduli space of perturbative string vacua. The remarkable interplay of string dualities seems to determine a highly non-trivial dichotomy, summarized by the emergent string conjecture, by which in some duality frame either internal dimensions decompactify or a unique critical string becomes tensionless. Assuming the existence of light states, we investigate whether this pattern persists in potentially non-geometric settings, showing that (a proxy for) the cutoff of the gravitational effective field theory in perturbative type II vacua scales with the spectral gap of the internal conformal field theory in the same manner as in decompactification or emergent string limits, regardless of supersymmetry or whether the internal sector is geometric. As a byproduct, we elucidate the role of the species scale in (de)compactifications and show compatibility between effective field theory and worldsheet approaches in the presence of curvature deformations in geometric settings.

[ { "created": "Mon, 6 May 2024 17:57:06 GMT", "version": "v1" } ]

2024-05-07

[ [ "Aoufia", "Christian", "" ], [ "Basile", "Ivano", "" ], [ "Leone", "Giorgio", "" ] ]

We study infinite-distance limits in the moduli space of perturbative string vacua. The remarkable interplay of string dualities seems to determine a highly non-trivial dichotomy, summarized by the emergent string conjecture, by which in some duality frame either internal dimensions decompactify or a unique critical string becomes tensionless. Assuming the existence of light states, we investigate whether this pattern persists in potentially non-geometric settings, showing that (a proxy for) the cutoff of the gravitational effective field theory in perturbative type II vacua scales with the spectral gap of the internal conformal field theory in the same manner as in decompactification or emergent string limits, regardless of supersymmetry or whether the internal sector is geometric. As a byproduct, we elucidate the role of the species scale in (de)compactifications and show compatibility between effective field theory and worldsheet approaches in the presence of curvature deformations in geometric settings.

14.154819

12.389706

17.101439

13.439244

13.296005

13.773343

12.984921

13.032027

12.688598

17.175816

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13.359159

14.40648

13.432693

13.441183

13.829558

13.374318

13.461843

12.590407

13.971869

13.203215

2007.04327

Igor Broeckel

Igor Broeckel, Michele Cicoli, Anshuman Maharana, Kajal Singh, Kuver Sinha

Moduli Stabilisation and the Statistics of SUSY Breaking in the Landscape

22 pages + appendices, 4 figures

null

10.1007/JHEP10(2020)015

null

hep-th hep-ph

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

The statistics of the supersymmetry breaking scale in the string landscape has been extensively studied in the past finding either a power-law behaviour induced by uniform distributions of F-terms or a logarithmic distribution motivated by dynamical supersymmetry breaking. These studies focused mainly on type IIB flux compactifications but did not systematically incorporate the K\"ahler moduli. In this paper we point out that the inclusion of the K\"ahler moduli is crucial to understand the distribution of the supersymmetry breaking scale in the landscape since in general one obtains unstable vacua when the F-terms of the dilaton and the complex structure moduli are larger than the F-terms of the K\"ahler moduli. After taking K\"ahler moduli stabilisation into account, we find that the distribution of the gravitino mass and the soft terms is power-law only in KKLT and perturbatively stabilised vacua which therefore favour high scale supersymmetry. On the other hand, LVS vacua feature a logarithmic distribution of soft terms and thus a preference for lower scales of supersymmetry breaking. Whether the landscape of type IIB flux vacua predicts a logarithmic or power-law distribution of the supersymmetry breaking scale thus depends on the relative preponderance of LVS and KKLT vacua.

[ { "created": "Wed, 8 Jul 2020 18:00:03 GMT", "version": "v1" } ]

2020-10-28

[ [ "Broeckel", "Igor", "" ], [ "Cicoli", "Michele", "" ], [ "Maharana", "Anshuman", "" ], [ "Singh", "Kajal", "" ], [ "Sinha", "Kuver", "" ] ]

The statistics of the supersymmetry breaking scale in the string landscape has been extensively studied in the past finding either a power-law behaviour induced by uniform distributions of F-terms or a logarithmic distribution motivated by dynamical supersymmetry breaking. These studies focused mainly on type IIB flux compactifications but did not systematically incorporate the K\"ahler moduli. In this paper we point out that the inclusion of the K\"ahler moduli is crucial to understand the distribution of the supersymmetry breaking scale in the landscape since in general one obtains unstable vacua when the F-terms of the dilaton and the complex structure moduli are larger than the F-terms of the K\"ahler moduli. After taking K\"ahler moduli stabilisation into account, we find that the distribution of the gravitino mass and the soft terms is power-law only in KKLT and perturbatively stabilised vacua which therefore favour high scale supersymmetry. On the other hand, LVS vacua feature a logarithmic distribution of soft terms and thus a preference for lower scales of supersymmetry breaking. Whether the landscape of type IIB flux vacua predicts a logarithmic or power-law distribution of the supersymmetry breaking scale thus depends on the relative preponderance of LVS and KKLT vacua.

5.447464

5.512182

5.581369

5.282504

5.610904

6.037422

6.089875

5.500877

5.155134

5.560034

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5.370197

5.326934

5.136049

5.374266

5.312354

5.247626

5.232476

5.165869

5.361916

5.090658

2407.09131

D. Migu\'elez-Caballero

A. Alonso-Izquierdo, D. Migu\'elez-Caballero, L.M. Nieto

Scattering between orthogonally wobbling kinks

20 pages, 11 figures

null

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

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

The resonant energy transfer mechanism, responsible for the presence of fractal patterns in the velocity diagrams of kink-antikink scattering, is analyzed for a family of two-component scalar field theory models, in which the kink solutions have two shape modes (one longitudinal and one orthogonal to the kink orbit), in addition to the zero mode, and in which energy redistribution can occur among these three discrete modes. We investigate the scattering between wobbling kinks whose orthogonal shape mode is initially excited, examining how the final velocities, amplitudes, and frequencies depend on the initial excitation amplitude. The differences that this model presents with respect to the $\phi^4$ model and its novel properties are highlighted. This analysis sheds light on the intricate dynamics that arise from the interplay between multiple degrees of freedom in kink scattering processes, offering insights distinct from those observed in simpler models.

[ { "created": "Fri, 12 Jul 2024 09:58:26 GMT", "version": "v1" }, { "created": "Tue, 16 Jul 2024 14:48:37 GMT", "version": "v2" } ]

2024-07-17

[ [ "Alonso-Izquierdo", "A.", "" ], [ "Miguélez-Caballero", "D.", "" ], [ "Nieto", "L. M.", "" ] ]

The resonant energy transfer mechanism, responsible for the presence of fractal patterns in the velocity diagrams of kink-antikink scattering, is analyzed for a family of two-component scalar field theory models, in which the kink solutions have two shape modes (one longitudinal and one orthogonal to the kink orbit), in addition to the zero mode, and in which energy redistribution can occur among these three discrete modes. We investigate the scattering between wobbling kinks whose orthogonal shape mode is initially excited, examining how the final velocities, amplitudes, and frequencies depend on the initial excitation amplitude. The differences that this model presents with respect to the $\phi^4$ model and its novel properties are highlighted. This analysis sheds light on the intricate dynamics that arise from the interplay between multiple degrees of freedom in kink scattering processes, offering insights distinct from those observed in simpler models.

12.516394

10.899757

11.706509

9.756938

11.24073

10.19966

10.670834

9.642779

10.082642

12.507689

10.551736

10.891973

11.125031

10.341755

10.958362

10.873231

10.931055

10.16759

10.839448

11.114012

10.549422

1905.11305

Takuya Okuda

Hirotaka Hayashi, Takuya Okuda, and Yutaka Yoshida

Wall-crossing and operator ordering for 't Hooft operators in N=2 gauge theories

57 pages, many figures; comments added, statements clarified, typos fixed, version in JHEP

null

10.1007/JHEP11(2019)116

UT-Komaba-19-2, IPMU19-0058

hep-th math.AG

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

We study half-BPS 't Hooft line operators in 4d $\mathcal{N}=2$ $U(N)$ gauge theories on $S^1\times \mathbb{R}^3$ with an $\Omega$-deformation. The recently proposed brane construction of 't Hooft operators shows that non-perturbative contributions to their correlator are identified with the Witten indices of quiver supersymmetric quantum mechanics. For the products of minimal 't Hooft operators, a chamber in the space of Fayet-Iliopoulos parameters in the quantum mechanics corresponds to an ordering of the operators inserted along a line. These considerations lead us to conjecture that the Witten indices can be read off from the Moyal products of the expectation values of the minimal 't Hooft operators, and also that wall-crossing occurs in the quantum mechanics only when the ordering of the operators changes. We confirm the conjectures by explicitly computing the Witten indices for the products of two and three minimal 't Hooft operators in all possible chambers.

[ { "created": "Mon, 27 May 2019 15:43:06 GMT", "version": "v1" }, { "created": "Thu, 19 Dec 2019 06:58:30 GMT", "version": "v2" } ]

2020-01-08

[ [ "Hayashi", "Hirotaka", "" ], [ "Okuda", "Takuya", "" ], [ "Yoshida", "Yutaka", "" ] ]

We study half-BPS 't Hooft line operators in 4d $\mathcal{N}=2$ $U(N)$ gauge theories on $S^1\times \mathbb{R}^3$ with an $\Omega$-deformation. The recently proposed brane construction of 't Hooft operators shows that non-perturbative contributions to their correlator are identified with the Witten indices of quiver supersymmetric quantum mechanics. For the products of minimal 't Hooft operators, a chamber in the space of Fayet-Iliopoulos parameters in the quantum mechanics corresponds to an ordering of the operators inserted along a line. These considerations lead us to conjecture that the Witten indices can be read off from the Moyal products of the expectation values of the minimal 't Hooft operators, and also that wall-crossing occurs in the quantum mechanics only when the ordering of the operators changes. We confirm the conjectures by explicitly computing the Witten indices for the products of two and three minimal 't Hooft operators in all possible chambers.

5.649919

4.861764

6.322295

5.067361

4.840494

4.91893

4.868577

4.939047

5.014683

6.909605

4.994973

5.130662

5.755103

5.247417

5.343223

5.074328

5.17082

5.093305

5.284745

5.543992

5.325882

1607.05919

Jon Chkareuli

J.L. Chkareuli and Z. Kepuladze

Gauge Symmetries Emerging from Extra Dimensions

24 pages, published version, to appear in Physical Review D (2016)

null

10.1103/PhysRevD.94.065013

null

hep-th hep-ph

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

We argue that extra dimensions with a properly chosen compactification scheme could be a natural source for emergent gauge symmetries. Actually, some proposed vector field potential terms or polynomial vector field constraints introduced in five-dimensional Abelian and non-Abelian gauge theory is shown to smoothly lead to spontaneous violation of an underlying 5D spacetime symmetry and generate pseudo-Goldstone vector modes as conventional 4D gauge boson candidates. As a special signature, there appear, apart from conventional gauge couplings, some properly suppressed direct multi-photon (multi-boson, in general) interactions in emergent QED and Yang-Mills theories whose observation could shed light on their high-dimensional nature. Moreover, in emergent Yang-Mills theories an internal symmetry G also occurs spontaneously broken to its diagonal subgroups once 5D Lorentz violation happens. This breaking origins from the extra vector field components playing a role of some adjoint scalar field multiplet in the 4D spacetime. So, one naturally has the Higgs effect without a specially introduced scalar field multiplet. Remarkably, when being applied to Grand Unified Theories this results in a fact that the emergent GUTs generically appear broken down to the Standard Model just at the 5D Lorentz violation scale M. PACS numbers: 11.15.-q, 11.30.Cp, 11.30.Pb, 11.10.Kk

[ { "created": "Wed, 20 Jul 2016 11:25:35 GMT", "version": "v1" }, { "created": "Wed, 3 Aug 2016 04:46:57 GMT", "version": "v2" }, { "created": "Sun, 28 Aug 2016 13:52:32 GMT", "version": "v3" }, { "created": "Wed, 7 Sep 2016 17:36:22 GMT", "version": "v4" } ]

2016-12-21

[ [ "Chkareuli", "J. L.", "" ], [ "Kepuladze", "Z.", "" ] ]

We argue that extra dimensions with a properly chosen compactification scheme could be a natural source for emergent gauge symmetries. Actually, some proposed vector field potential terms or polynomial vector field constraints introduced in five-dimensional Abelian and non-Abelian gauge theory is shown to smoothly lead to spontaneous violation of an underlying 5D spacetime symmetry and generate pseudo-Goldstone vector modes as conventional 4D gauge boson candidates. As a special signature, there appear, apart from conventional gauge couplings, some properly suppressed direct multi-photon (multi-boson, in general) interactions in emergent QED and Yang-Mills theories whose observation could shed light on their high-dimensional nature. Moreover, in emergent Yang-Mills theories an internal symmetry G also occurs spontaneously broken to its diagonal subgroups once 5D Lorentz violation happens. This breaking origins from the extra vector field components playing a role of some adjoint scalar field multiplet in the 4D spacetime. So, one naturally has the Higgs effect without a specially introduced scalar field multiplet. Remarkably, when being applied to Grand Unified Theories this results in a fact that the emergent GUTs generically appear broken down to the Standard Model just at the 5D Lorentz violation scale M. PACS numbers: 11.15.-q, 11.30.Cp, 11.30.Pb, 11.10.Kk

14.142635

17.053995

14.870892

14.316071

16.737114

16.304241

16.618881

14.96586

14.504518

16.145672

14.77454

14.527326

13.913297

14.078993

14.596007

14.348225

14.83232

14.038339

13.888168

14.378113

14.157905

0706.4245

Dmitri Kazakov

D. I. Kazakov and L. V. Bork

Conformal Invariance = Finiteness and Beta Deformed N=4 SYM Theory

15 pages, Latex, 1 figure axodraw style

JHEP 0708:071,2007

10.1088/1126-6708/2007/08/071

null

hep-th

null

We claim that if by a choice of the couplings the theory can be made conformally invariant (vanishing of the beta functions) it is automatically finite and vice versa. This is demonstrated by explicit example in supersymmetric gauge theory. The formalism is then applied to the beta deformed ${\cal N}=4$ SYM theory and it is shown that the requirement of conformal invariance = finiteness can be achieved for any complex parameter of deformations.

[ { "created": "Thu, 28 Jun 2007 14:24:42 GMT", "version": "v1" } ]

2009-04-30

[ [ "Kazakov", "D. I.", "" ], [ "Bork", "L. V.", "" ] ]

We claim that if by a choice of the couplings the theory can be made conformally invariant (vanishing of the beta functions) it is automatically finite and vice versa. This is demonstrated by explicit example in supersymmetric gauge theory. The formalism is then applied to the beta deformed ${\cal N}=4$ SYM theory and it is shown that the requirement of conformal invariance = finiteness can be achieved for any complex parameter of deformations.

10.174237

9.995855

10.131397

9.177954

9.852528

9.950054

10.16182

9.344535

9.499789

10.964284

8.90957

9.300591

9.698469

9.32957

9.534113

9.869922

9.409344

9.541235

9.179744

9.777571

9.505918

0903.5242

Anton Rebhan

Anton Rebhan, Andreas Schmitt, Peter van Nieuwenhuizen

One-loop results for kink and domain wall profiles at zero and finite temperature

REVTEX4 24 pages, 4 figures. v3: minor rewordings in abstract and introduction, consistency with previous results clarified, references added

Phys.Rev.D80:045012,2009

10.1103/PhysRevD.80.045012

TUW-09-02, YITP-SB-09-03

hep-th cond-mat.stat-mech hep-ph

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

Using dimensional regularization, we compute the one-loop quantum and thermal corrections to the profile of the bosonic 1+1-dimensional phi^4 kink, the sine-Gordon kink and the CP^1 kink, and higher-dimensional phi^4 kink domain walls. Starting from the Heisenberg field equation in the presence of the nontrivial kink background we derive analytically results for the temperature-dependent mean field which display the onset of the melting of kinks as the system is heated towards a symmetry restoring phase transition. The result is shown to simplify significantly when expressed in terms of a self-consistently defined thermal screening mass. In the case of domain walls, we find infrared singularities in the kink profile, which corresponds to interface roughening depending on the system size. Finally we calculate the energy density profile of phi^4 kink domain walls and find that in contrast to the total surface tension the local distribution requires composite operator renormalization in 3+1 dimensions.

[ { "created": "Mon, 30 Mar 2009 18:56:44 GMT", "version": "v1" }, { "created": "Fri, 17 Apr 2009 21:40:15 GMT", "version": "v2" }, { "created": "Fri, 3 Jul 2009 16:50:10 GMT", "version": "v3" } ]

2009-09-02

[ [ "Rebhan", "Anton", "" ], [ "Schmitt", "Andreas", "" ], [ "van Nieuwenhuizen", "Peter", "" ] ]

Using dimensional regularization, we compute the one-loop quantum and thermal corrections to the profile of the bosonic 1+1-dimensional phi^4 kink, the sine-Gordon kink and the CP^1 kink, and higher-dimensional phi^4 kink domain walls. Starting from the Heisenberg field equation in the presence of the nontrivial kink background we derive analytically results for the temperature-dependent mean field which display the onset of the melting of kinks as the system is heated towards a symmetry restoring phase transition. The result is shown to simplify significantly when expressed in terms of a self-consistently defined thermal screening mass. In the case of domain walls, we find infrared singularities in the kink profile, which corresponds to interface roughening depending on the system size. Finally we calculate the energy density profile of phi^4 kink domain walls and find that in contrast to the total surface tension the local distribution requires composite operator renormalization in 3+1 dimensions.

11.18583

12.205959

11.620023

11.262775

11.97644

12.201238

12.561832

11.805285

12.145503

12.455321

11.882958

11.517169

11.487357

11.180271

11.505817

11.634789

11.16153

11.28629

11.261234

11.294665

11.453462

1806.02665

Oliver Gould

Oliver Gould, Arttu Rajantie and Cheng Xie

Worldline sphaleron for thermal Schwinger pair production

15 pages, 4 figures, published in PRD

Phys. Rev. D 98, 056022 (2018)

10.1103/PhysRevD.98.056022

IMPERIAL-TP-2018-OG-1, HIP-2018-17-TH

hep-th hep-ph

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

With increasing temperatures, Schwinger pair production changes from a quantum tunnelling to a classical, thermal process, determined by a worldline sphaleron. We show this and calculate the corresponding rate of pair production for both spinor and scalar quantum electrodynamics, including the semiclassical prefactor. For electron-positron pair production from a thermal bath of photons and in the presence of an electric field, the rate we derive is faster than both perturbative photon fusion and the zero temperature Schwinger process. We work to all-orders in the coupling and hence our results are also relevant to the pair production of (strongly coupled) magnetic monopoles in heavy ion collisions.

[ { "created": "Thu, 7 Jun 2018 13:25:03 GMT", "version": "v1" }, { "created": "Tue, 9 Oct 2018 08:51:01 GMT", "version": "v2" } ]

2018-10-10

[ [ "Gould", "Oliver", "" ], [ "Rajantie", "Arttu", "" ], [ "Xie", "Cheng", "" ] ]

With increasing temperatures, Schwinger pair production changes from a quantum tunnelling to a classical, thermal process, determined by a worldline sphaleron. We show this and calculate the corresponding rate of pair production for both spinor and scalar quantum electrodynamics, including the semiclassical prefactor. For electron-positron pair production from a thermal bath of photons and in the presence of an electric field, the rate we derive is faster than both perturbative photon fusion and the zero temperature Schwinger process. We work to all-orders in the coupling and hence our results are also relevant to the pair production of (strongly coupled) magnetic monopoles in heavy ion collisions.

10.482827

10.831842

10.737959

8.944583

10.098516

10.493548

9.855573

10.1697

9.481165

10.982224

9.515378

9.742749

9.992805

9.688142

9.914913

9.640512

9.606342

9.428608

9.916443

10.311877

9.536695

hep-th/0210181

Mariano Quiros

A. Delgado, G. v. Gersdorff and M. Quiros

Brane-assisted Scherk-Schwarz supersymmetry breaking in orbifolds

12 pages, 5 figures

JHEP 0212:002,2002

10.1088/1126-6708/2002/12/002

IEM-FT-228/02

hep-th hep-ph

null

We have analyzed the interplay between Scherk-Schwarz supersymmetry breaking and general fermion (gaugino or gravitino) mass terms localized on the fixed point branes of the S^1/Z_2 orbifold. Analytic solutions for eigenfunctions and eigenvalues are found in all cases. All results are checked by numerical calculations that make use of regularized \delta-functions. Odd and generically also even fermions are discontinuous at the brane fixed points, but in all cases the combination that couples to the brane is continuous. For CP-even brane mass terms supersymmetry restoration can take place when their effects are cancelled by those of Scherk-Schwarz compactification. However such a cancellation can not occur for CP-odd brane mass terms.

[ { "created": "Fri, 18 Oct 2002 16:04:18 GMT", "version": "v1" } ]

2010-11-19

[ [ "Delgado", "A.", "" ], [ "Gersdorff", "G. v.", "" ], [ "Quiros", "M.", "" ] ]

We have analyzed the interplay between Scherk-Schwarz supersymmetry breaking and general fermion (gaugino or gravitino) mass terms localized on the fixed point branes of the S^1/Z_2 orbifold. Analytic solutions for eigenfunctions and eigenvalues are found in all cases. All results are checked by numerical calculations that make use of regularized \delta-functions. Odd and generically also even fermions are discontinuous at the brane fixed points, but in all cases the combination that couples to the brane is continuous. For CP-even brane mass terms supersymmetry restoration can take place when their effects are cancelled by those of Scherk-Schwarz compactification. However such a cancellation can not occur for CP-odd brane mass terms.

10.952488

10.23573

11.217961

9.91453

10.49155

10.999028

10.010074

10.645849

9.888088

11.68686

10.468408

10.134227

10.254393

10.177277

10.271322

10.131353

9.94222

9.982213

10.008644

10.323837

9.837203

1603.08524

Ethan Dyer

Nathan Benjamin, Ethan Dyer, A. Liam Fitzpatrick, Alexander Maloney, Eric Perlmutter

Small Black Holes and Near-Extremal CFTs

41 pages + appendices, 6 figures

null

10.1007/JHEP08(2016)023

null

hep-th gr-qc

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

Pure theories of AdS$_3$ quantum gravity are conjectured to be dual to CFTs with sparse spectra of light primary operators. The sparsest possible spectrum consistent with modular invariance includes only black hole states above the vacuum. Witten conjectured the existence of a family of extremal CFTs, which realize this spectrum for all admissible values of the central charge. We consider the quantum corrections to the classical spectrum, and propose a specific modification of Witten's conjecture which takes into account the existence of "small" black hole states. These have zero classical horizon area, with a calculable entropy attributed solely to loop effects. Our conjecture passes various consistency checks, especially when generalized to include theories with supersymmetry. In theories with $\mathcal{N}=2$ supersymmetry, this "near-extremal CFT" proposal precisely evades the no-go results of Gaberdiel et al.

[ { "created": "Mon, 28 Mar 2016 20:00:04 GMT", "version": "v1" } ]

2016-08-24

[ [ "Benjamin", "Nathan", "" ], [ "Dyer", "Ethan", "" ], [ "Fitzpatrick", "A. Liam", "" ], [ "Maloney", "Alexander", "" ], [ "Perlmutter", "Eric", "" ] ]

Pure theories of AdS$_3$ quantum gravity are conjectured to be dual to CFTs with sparse spectra of light primary operators. The sparsest possible spectrum consistent with modular invariance includes only black hole states above the vacuum. Witten conjectured the existence of a family of extremal CFTs, which realize this spectrum for all admissible values of the central charge. We consider the quantum corrections to the classical spectrum, and propose a specific modification of Witten's conjecture which takes into account the existence of "small" black hole states. These have zero classical horizon area, with a calculable entropy attributed solely to loop effects. Our conjecture passes various consistency checks, especially when generalized to include theories with supersymmetry. In theories with $\mathcal{N}=2$ supersymmetry, this "near-extremal CFT" proposal precisely evades the no-go results of Gaberdiel et al.

10.102029

9.638183

11.71369

9.215765

10.184666

10.327584

9.574607

9.480815

9.363489

13.300907

8.961697

9.567019

10.011134

9.620617

9.677914

9.796988

9.251812

9.477616

9.209827

10.098903

9.232685

0810.4909

Gregory Moore

Daniel L. Jafferis and Gregory W. Moore

Wall crossing in local Calabi Yau manifolds

20pp., 1 figure

null

RUNHETC-2008-22

hep-th

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

We study the BPS states of a D6-brane wrapping the conifold and bound to collections of D2 and D0 branes. We find that in addition to the complexified Kahler parameter of the rigid sphere it is necessary to introduce an extra real parameter to describe BPS partition functions and marginal stability walls. The supergravity approach to BPS state-counting gives a simple derivation of results of Szendroi concerning Donaldson-Thomas theory on the noncommutative conifold. This example also illustrates some interesting limitations on the supergravity approach to BPS state-counting and wall-crossing.

[ { "created": "Mon, 27 Oct 2008 19:16:31 GMT", "version": "v1" } ]

2008-10-28

[ [ "Jafferis", "Daniel L.", "" ], [ "Moore", "Gregory W.", "" ] ]

We study the BPS states of a D6-brane wrapping the conifold and bound to collections of D2 and D0 branes. We find that in addition to the complexified Kahler parameter of the rigid sphere it is necessary to introduce an extra real parameter to describe BPS partition functions and marginal stability walls. The supergravity approach to BPS state-counting gives a simple derivation of results of Szendroi concerning Donaldson-Thomas theory on the noncommutative conifold. This example also illustrates some interesting limitations on the supergravity approach to BPS state-counting and wall-crossing.

9.982447

9.682339

13.909813

9.442573

9.176361

9.331293

9.774338

9.810207

8.660184

14.643736

9.313886

9.592082

10.977663

9.573112

9.54936

9.034431

9.434249

9.621998

9.511558

11.696326

9.771817

2104.06584

Christian Kunz

A Note on Classical Aspects of the Four Dimensional Anomaly-Free Twistor String

7 pages

null

hep-th

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

The recently introduced anomaly-free twistor string in four dimensions is shown to be defined not just in flat but also in curved twistor space. Further, arguments are given that the classical limit of the corresponding string field theory, if it exists, is related to general relativity, in particular to the Isenberg and Yasskin construction using teleparallel gravity. For spacetimes of Petrov type D with two shear-free null congruences the construction can be simplified using two-dimensional twistor manifolds.

[ { "created": "Wed, 14 Apr 2021 02:11:22 GMT", "version": "v1" } ]

2021-04-15

[ [ "Kunz", "Christian", "" ] ]

The recently introduced anomaly-free twistor string in four dimensions is shown to be defined not just in flat but also in curved twistor space. Further, arguments are given that the classical limit of the corresponding string field theory, if it exists, is related to general relativity, in particular to the Isenberg and Yasskin construction using teleparallel gravity. For spacetimes of Petrov type D with two shear-free null congruences the construction can be simplified using two-dimensional twistor manifolds.

12.220239

14.014592

14.201728

12.527434

13.021584

12.751204

12.393192

13.216953

12.355379

15.475576

12.569448

11.607533

12.097448

12.099202

11.198741

11.808531

11.668306

11.627381

11.607139

12.677059

11.512132

1909.01169

Jean-Luc Lehners

Jean-Luc Lehners and K.S. Stelle

A Safe Beginning for the Universe?

15 pages plus references, 1 figure, v2: references added and typos fixed

Phys. Rev. D 100, 083540 (2019)

10.1103/PhysRevD.100.083540

Imperial/TP/2019/KSS/02

hep-th gr-qc

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

When general relativity is augmented by quadratic gravity terms, it becomes a renormalisable theory of gravity. This theory may admit a non-Gaussian fixed point as envisaged in the asymptotic safety program, rendering the theory trustworthy to energies up to the Planck scale and even beyond. We show that requiring physical solutions to have a finite action imposes a strong selection on big-bang-type universes. More precisely we find that, in the approach to zero volume, both anisotropies and inhomogeneities are suppressed while the scale factor is required to undergo accelerated expansion. This provides initial conditions which are favourable to the onset of an inflationary phase while also providing a suitable starting point for the second law of thermodynamics in the spirit of the Weyl curvature hypothesis.

[ { "created": "Tue, 3 Sep 2019 13:34:23 GMT", "version": "v1" }, { "created": "Mon, 21 Oct 2019 07:54:27 GMT", "version": "v2" } ]

2019-11-06

[ [ "Lehners", "Jean-Luc", "" ], [ "Stelle", "K. S.", "" ] ]

When general relativity is augmented by quadratic gravity terms, it becomes a renormalisable theory of gravity. This theory may admit a non-Gaussian fixed point as envisaged in the asymptotic safety program, rendering the theory trustworthy to energies up to the Planck scale and even beyond. We show that requiring physical solutions to have a finite action imposes a strong selection on big-bang-type universes. More precisely we find that, in the approach to zero volume, both anisotropies and inhomogeneities are suppressed while the scale factor is required to undergo accelerated expansion. This provides initial conditions which are favourable to the onset of an inflationary phase while also providing a suitable starting point for the second law of thermodynamics in the spirit of the Weyl curvature hypothesis.

11.233574

12.083858

11.056382

10.162807

11.276807

11.442607

11.409887

10.918737

10.881124

12.435061

11.836177

11.521508

10.866055

10.918408

10.95711

10.890245

11.031586

11.124646

11.014046

11.138813

10.746957

1011.0403

Anton Gerasimov

Anton A. Gerasimov and Dimitri R. Lebedev

On topological field theory representation of higher analogs of classical special functions

21 pages, typos are fixed and important reference is added

JHEP 1109:076,2011

10.1007/JHEP09(2011)076

null

hep-th math.AG

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

Looking for a quantum field theory model of Archimedean algebraic geometry a class of infinite-dimensional integral representations of classical special functions was introduced. Precisely the special functions such as Whittaker functions and Gamma-function were identified with correlation functions in topological field theories on a two-dimensional disk. Mirror symmetry of the underlying topological field theory leads to a dual finite-dimensional integral representations reproducing classical integral representations for the corresponding special functions. The mirror symmetry interchanging infinite- and finite-dimensional integral representations provides an incarnation of the local Archimedean Langlands duality on the level of classical special functions. In this note we provide some directions to higher-dimensional generalizations of our previous results. In the first part we consider topological field theory representations of multiple local L-factors introduced by Kurokawa and expressed through multiple Barnes's Gamma-functions. In the second part we are dealing with generalizations based on consideration of topological Yang-Mills theories on non-compact four-dimensional manifolds. Presumably, in analogy with the mirror duality in two-dimensions, S-dual description should be instrumental for deriving integral representations for a particular class of quantum field theory correlation functions and thus providing a new interesting class of special functions supplied with canonical integral representations.

[ { "created": "Mon, 1 Nov 2010 18:16:56 GMT", "version": "v1" }, { "created": "Mon, 11 Jul 2011 17:18:51 GMT", "version": "v2" } ]

2011-09-20

[ [ "Gerasimov", "Anton A.", "" ], [ "Lebedev", "Dimitri R.", "" ] ]

Looking for a quantum field theory model of Archimedean algebraic geometry a class of infinite-dimensional integral representations of classical special functions was introduced. Precisely the special functions such as Whittaker functions and Gamma-function were identified with correlation functions in topological field theories on a two-dimensional disk. Mirror symmetry of the underlying topological field theory leads to a dual finite-dimensional integral representations reproducing classical integral representations for the corresponding special functions. The mirror symmetry interchanging infinite- and finite-dimensional integral representations provides an incarnation of the local Archimedean Langlands duality on the level of classical special functions. In this note we provide some directions to higher-dimensional generalizations of our previous results. In the first part we consider topological field theory representations of multiple local L-factors introduced by Kurokawa and expressed through multiple Barnes's Gamma-functions. In the second part we are dealing with generalizations based on consideration of topological Yang-Mills theories on non-compact four-dimensional manifolds. Presumably, in analogy with the mirror duality in two-dimensions, S-dual description should be instrumental for deriving integral representations for a particular class of quantum field theory correlation functions and thus providing a new interesting class of special functions supplied with canonical integral representations.

12.40075

12.379694

14.174697

11.586311

12.108345

12.437813

12.504015

12.062157

11.063545

13.752536

11.34175

11.393474

11.549337

11.075451

11.561283

11.145151

11.541425

11.042564

11.013261

11.891163

11.385935

1410.4595

Anastasia Golubtsova

I. Ya. Aref'eva, A. A. Golubtsova

Shock waves in Lifshitz-like spacetimes

35 pages, 6 figures; v3: typos corrected. Version to appear in JHEP

null

hep-th

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

We construct shock waves for Lifshitz-like geometries in four- and five-dimensional effective theories as well as in D3-D7 and D4-D6 brane systems. The solutions to the domain wall profile equations are found. Further, the study makes a connection with the implications for the quark-gluon plasma formation in heavy-ion collisions. According to the holographic approach, the multiplicity of particles produced in heavy-ion collisions can be estimated by the area of the trapped surface formed in shock wave collisions. We calculate the areas of trapped surfaces in the geometry of two colliding Lifshitz domain walls. Our estimates show that for five-dimensional cases with certain values of the critical exponent the dependence of multiplicity on the energy of colliding ions is rather close to the experimental data ${\cal M} \sim s^{\,0.15}$ observed at RHIC and LHC.

[ { "created": "Thu, 16 Oct 2014 21:56:22 GMT", "version": "v1" }, { "created": "Wed, 26 Nov 2014 20:00:07 GMT", "version": "v2" }, { "created": "Mon, 23 Mar 2015 16:25:41 GMT", "version": "v3" } ]

2015-03-24

[ [ "Aref'eva", "I. Ya.", "" ], [ "Golubtsova", "A. A.", "" ] ]

We construct shock waves for Lifshitz-like geometries in four- and five-dimensional effective theories as well as in D3-D7 and D4-D6 brane systems. The solutions to the domain wall profile equations are found. Further, the study makes a connection with the implications for the quark-gluon plasma formation in heavy-ion collisions. According to the holographic approach, the multiplicity of particles produced in heavy-ion collisions can be estimated by the area of the trapped surface formed in shock wave collisions. We calculate the areas of trapped surfaces in the geometry of two colliding Lifshitz domain walls. Our estimates show that for five-dimensional cases with certain values of the critical exponent the dependence of multiplicity on the energy of colliding ions is rather close to the experimental data ${\cal M} \sim s^{\,0.15}$ observed at RHIC and LHC.

8.159529

7.959909

9.00143

7.753108

8.047535

8.043317

8.421549

7.456889

7.594637

8.997014

7.739535

7.998164

8.20582

7.739558

7.811399

7.855441

7.921392

7.935218

7.901421

8.414244

7.683608

hep-th/9411096

null

V. A. Tsokur, Yu. M. Zinoviev

Spontaneous supersymmetry breaking in N=3 supergravity with matter

12 pages, plain LaTeX, no figures

Phys.Atom.Nucl. 59 (1996) 2185-2191; Yad.Fiz. 59N12 (1996) 1169-1176

null

IHEP 94-114

hep-th

null

In this paper we investigate the problem of spontaneous supersymmetry breaking without a cosmological term in $N=3$ supergravity with matter vector multiplets, scalar fields geometry being $SU(3,m)/SU(3)\otimes SU(m)\otimes U(1)$. At first, we consider the case of minimal coupling with different possible gaugings (compact as well as non-compact). Then we show that there exist dual version of such a theory (with the same scalar field geometry), which turns out to be the generalization of the $N=3$ hidden sector, constructed some time ago by one of us, to the case of arbitrary number of vector multiplets. We demonstrate that spontaneous supersymmetry breaking is still possible in the presence of matter multiplets.

[ { "created": "Mon, 14 Nov 1994 16:54:36 GMT", "version": "v1" } ]

2007-05-23

[ [ "Tsokur", "V. A.", "" ], [ "Zinoviev", "Yu. M.", "" ] ]

In this paper we investigate the problem of spontaneous supersymmetry breaking without a cosmological term in $N=3$ supergravity with matter vector multiplets, scalar fields geometry being $SU(3,m)/SU(3)\otimes SU(m)\otimes U(1)$. At first, we consider the case of minimal coupling with different possible gaugings (compact as well as non-compact). Then we show that there exist dual version of such a theory (with the same scalar field geometry), which turns out to be the generalization of the $N=3$ hidden sector, constructed some time ago by one of us, to the case of arbitrary number of vector multiplets. We demonstrate that spontaneous supersymmetry breaking is still possible in the presence of matter multiplets.

7.275346

6.502673

7.84021

6.648718

7.291526

6.697512

6.832149

6.664932

6.465123

8.157866

6.707622

6.521599

6.80826

6.570592

6.539612

6.556077

6.8022

6.669713

6.673432

6.799129

6.693199

1001.4356

Chaiho Rim Prof

Alexander Belavin and Chaiho Rim

Bulk one-point function on disk in one-matrix model

8 pages

Phys.Lett.B687:264-266,2010

10.1016/j.physletb.2010.03.020

null

hep-th

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

We consider bulk correlation numbers on disk in one-matrix model. Using the recently found so-called resonance transformation from the KdV to the Liouville frame, we obtain an explicit expression for the bulk one-point function. The result is consistent with the form of FZZ one-point function in the boundary Liouville Field Theory.

[ { "created": "Mon, 25 Jan 2010 09:48:30 GMT", "version": "v1" } ]

2010-04-30

[ [ "Belavin", "Alexander", "" ], [ "Rim", "Chaiho", "" ] ]

We consider bulk correlation numbers on disk in one-matrix model. Using the recently found so-called resonance transformation from the KdV to the Liouville frame, we obtain an explicit expression for the bulk one-point function. The result is consistent with the form of FZZ one-point function in the boundary Liouville Field Theory.

19.148643

14.218629

21.316942

13.469179

14.198577

13.732203

13.024341

14.217157

13.879028

22.413309

13.719986

15.265425

18.961191

16.151436

17.116287

17.002583

16.440502

15.946566

16.141203

17.474394

16.58197

1505.00854

Kazuharu Bamba

Kazuharu Bamba, Sergei D. Odintsov and Petr V. Tretyakov

Inflation in a conformally-invariant two-scalar-field theory with an extra $R^2$ term

18 pages, 4 figures, version accepted for publication in European Physical Journal C

null

FU-PCG-03, OCHA-PP-334

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

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

We explore inflationary cosmology in a theory where there are two scalar fields which non-minimally couple to the Ricci scalar and an additional $R^2$ term, which breaks the conformal invariance. Particularly, we investigate the slow-roll inflation in the case of one dynamical scalar field and that of two dynamical scalar fields. It is explicitly demonstrated that the spectral index of scalar mode of the density perturbations and the tensor-to-scalar ratio can be consistent with the observations acquired by the recent Planck satellite. The graceful exit from the inflationary stage is achieved as in convenient $R^2$ gravity. We also propose the generalization of the model under discussion with three scalar fields.

[ { "created": "Tue, 5 May 2015 01:16:45 GMT", "version": "v1" }, { "created": "Thu, 9 Jul 2015 00:47:00 GMT", "version": "v2" } ]

2015-07-10

[ [ "Bamba", "Kazuharu", "" ], [ "Odintsov", "Sergei D.", "" ], [ "Tretyakov", "Petr V.", "" ] ]

We explore inflationary cosmology in a theory where there are two scalar fields which non-minimally couple to the Ricci scalar and an additional $R^2$ term, which breaks the conformal invariance. Particularly, we investigate the slow-roll inflation in the case of one dynamical scalar field and that of two dynamical scalar fields. It is explicitly demonstrated that the spectral index of scalar mode of the density perturbations and the tensor-to-scalar ratio can be consistent with the observations acquired by the recent Planck satellite. The graceful exit from the inflationary stage is achieved as in convenient $R^2$ gravity. We also propose the generalization of the model under discussion with three scalar fields.

6.979375

6.242027

6.244449

5.772497

6.433076

6.297703

6.322539

5.831403

6.299871

6.810919

6.166087

6.761224

6.670238

6.510087

6.526026

6.513263

6.568244

6.378434

6.553648

6.325458

6.695173

hep-th/0311142

Soumitra SenGupta

Debaprasad Maity and Soumitra SenGupta

Cosmic Optical Activity in a Randall-Sundrum Braneworld with Bulk Kalb-Ramond field

12 Pages, Latex, No figures,Version revised thoroughly, Accepted for publication in Classical and Quantum Gravity

Class.Quant.Grav.21:3379-3387,2004

10.1088/0264-9381/21/14/004

null

hep-th astro-ph gr-qc

null

Optical activity of electromagnetic waves in a string inspired Kalb-Ramond cosmological background is studied in presence of extra spacetime dimension. The Kalb-Ramond-electromagnetic coupling which originates from the gauge anomaly cancelling Chern-Simons term in a string inspired model, is explicitly calculated following Randall-Sundrum braneworld conjecture. It is shown that the Randall-Sundrum scenario leads to an enormous enhancement of the optical rotation of a plane polarized electromagnetic wave propagating on the visible brane.Absence of any experimental support in favour of such a large rotation in astrophysical experiments on distant galactic radio waves indicates an apparent conflict between Randall-Sundrum brane world scenario and the presence of Kalb-Ramond antisymmetric tensor field in the background spacetime.

[ { "created": "Mon, 17 Nov 2003 09:14:32 GMT", "version": "v1" }, { "created": "Wed, 28 Jan 2004 08:59:53 GMT", "version": "v2" }, { "created": "Wed, 2 Jun 2004 12:41:54 GMT", "version": "v3" } ]

2014-11-18

[ [ "Maity", "Debaprasad", "" ], [ "SenGupta", "Soumitra", "" ] ]

Optical activity of electromagnetic waves in a string inspired Kalb-Ramond cosmological background is studied in presence of extra spacetime dimension. The Kalb-Ramond-electromagnetic coupling which originates from the gauge anomaly cancelling Chern-Simons term in a string inspired model, is explicitly calculated following Randall-Sundrum braneworld conjecture. It is shown that the Randall-Sundrum scenario leads to an enormous enhancement of the optical rotation of a plane polarized electromagnetic wave propagating on the visible brane.Absence of any experimental support in favour of such a large rotation in astrophysical experiments on distant galactic radio waves indicates an apparent conflict between Randall-Sundrum brane world scenario and the presence of Kalb-Ramond antisymmetric tensor field in the background spacetime.

10.646386

9.937146

9.900679

9.422125

9.231065

10.260032

10.043171

9.517783

9.548186

11.417473

9.276409

9.383141

9.993553

9.358443

9.356606

9.33701

9.427707

9.268784

9.769767

9.48163

9.513021

1908.03574

G\'abor S\'arosi

M\'ark Mezei and G\'abor S\'arosi

Chaos in the butterfly cone

35 pages, 15 figures. v2: published version

null

10.1007/JHEP01(2020)186

null

hep-th cond-mat.stat-mech cond-mat.str-el nlin.CD quant-ph

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

A simple probe of chaos and operator growth in many-body quantum systems is the out of time ordered four point function. In a large class of local systems, the effects of chaos in this correlator build up exponentially fast inside the so called butterfly cone. It has been previously observed that the growth of these effects is organized along rays and can be characterized by a velocity dependent Lyapunov exponent, $\lambda({\bf v})$. We show that this exponent is bounded inside the butterfly cone as $\lambda({\bf v})\leq 2\pi T(1-|{\bf v}|/v_B)$, where $T$ is the temperature and $v_B$ is the butterfly speed. This result generalizes the chaos bound of Maldacena, Shenker and Stanford. We study $\lambda({\bf v})$ in some examples such as two dimensional SYK models and holographic gauge theories, and observe that in these systems the bound gets saturated at some critical velocity $v_*<v_B$. In this sense, boosting a system enhances chaos. We discuss the connection to conformal Regge theory, where $\lambda({\bf v})$ is related to the spin of the leading large $N$ Regge trajectory, and controls the four point function in an interpolating regime between the Regge and the light cone limit. Finally, we comment on the generalization of the chaos bound to boosted and rotating ensembles and clarify some recent results on this in the literature.

[ { "created": "Fri, 9 Aug 2019 18:00:00 GMT", "version": "v1" }, { "created": "Sun, 2 Feb 2020 01:04:37 GMT", "version": "v2" } ]

2020-02-19

[ [ "Mezei", "Márk", "" ], [ "Sárosi", "Gábor", "" ] ]

A simple probe of chaos and operator growth in many-body quantum systems is the out of time ordered four point function. In a large class of local systems, the effects of chaos in this correlator build up exponentially fast inside the so called butterfly cone. It has been previously observed that the growth of these effects is organized along rays and can be characterized by a velocity dependent Lyapunov exponent, $\lambda({\bf v})$. We show that this exponent is bounded inside the butterfly cone as $\lambda({\bf v})\leq 2\pi T(1-|{\bf v}|/v_B)$, where $T$ is the temperature and $v_B$ is the butterfly speed. This result generalizes the chaos bound of Maldacena, Shenker and Stanford. We study $\lambda({\bf v})$ in some examples such as two dimensional SYK models and holographic gauge theories, and observe that in these systems the bound gets saturated at some critical velocity $v_*<v_B$. In this sense, boosting a system enhances chaos. We discuss the connection to conformal Regge theory, where $\lambda({\bf v})$ is related to the spin of the leading large $N$ Regge trajectory, and controls the four point function in an interpolating regime between the Regge and the light cone limit. Finally, we comment on the generalization of the chaos bound to boosted and rotating ensembles and clarify some recent results on this in the literature.

6.598678

7.251944

7.438983

6.609325

7.079695

7.238512

6.982319

6.488117

6.734046

7.69912

6.526134

6.337122

6.672458

6.417192

6.539631

6.401753

6.434702

6.424556

6.329663

6.620966

6.278532

1602.07476

Gor Sarkissian

Hasmik Poghosyan and Gor Sarkissian

Comments on fusion matrix in N=1 super Liouville field theory

28 pages, comment and reference added

Nucl.Phys.B 909 (2016) 458-479

10.1016/j.nuclphysb.2016.05.023

null

hep-th

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

We study several aspects of the $N=1$ super Liouville theory. We show that certain elements of the fusion matrix in the Neveu-Schwarz sector related to the structure constants according to the same rules which we observe in rational conformal field theory. We collect some evidences that these relations should hold also in the Ramond sector. Using them the Cardy-Lewellen equation for defects is studied, and defects are constructed.

[ { "created": "Wed, 24 Feb 2016 12:21:23 GMT", "version": "v1" }, { "created": "Mon, 7 Mar 2016 10:11:46 GMT", "version": "v2" } ]

2023-04-11

[ [ "Poghosyan", "Hasmik", "" ], [ "Sarkissian", "Gor", "" ] ]

We study several aspects of the $N=1$ super Liouville theory. We show that certain elements of the fusion matrix in the Neveu-Schwarz sector related to the structure constants according to the same rules which we observe in rational conformal field theory. We collect some evidences that these relations should hold also in the Ramond sector. Using them the Cardy-Lewellen equation for defects is studied, and defects are constructed.

12.796202

11.089738

14.476327

10.062393

11.012644

10.436584

11.558731

11.448305

10.623794

15.392066

10.824203

11.784024

13.861218

11.992473

12.152446

12.263751

12.011152

11.873528

12.094446

12.972775

12.021828

1506.00663

Martin Luu

Local Langlands Duality and a Duality of Conformal Field Theories

null

Communications in Number Theory and Phys. 10 (2016), 1-22

10.1016/j.cnsns.2004.04.004

null

hep-th math-ph math.MP math.NT math.RT

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

We show that the numerical local Langlands duality for GL_n and the T - duality of two-dimensional quantum gravity arise from one and the same symmetry principle. The unifying theme is that the local Fourier transform in both its l-adic and complex incarnation gives rise to symmetries of arithmetic and geometric local Langlands parameters.

[ { "created": "Mon, 1 Jun 2015 20:21:01 GMT", "version": "v1" } ]

2019-09-11

[ [ "Luu", "Martin", "" ] ]

We show that the numerical local Langlands duality for GL_n and the T - duality of two-dimensional quantum gravity arise from one and the same symmetry principle. The unifying theme is that the local Fourier transform in both its l-adic and complex incarnation gives rise to symmetries of arithmetic and geometric local Langlands parameters.

21.008108

24.854237

22.477407

23.049473

23.722202

24.319952

27.539232

21.897551

22.256651

28.920883

20.041668

21.160727

23.188198

19.488338

20.215034

19.583813

21.369839

18.936131

21.265854

23.104019

20.263212

hep-th/0604017

David Kutasov

E. Antonyan, J.A. Harvey, S. Jensen and D. Kutasov

NJL and QCD from String Theory

31 pages, harvmac

null

EFI-06-05

hep-th

null

We study a configuration of D-branes in string theory that is described at low energies by a four-dimensional field theory with a dynamically broken chiral symmetry. In a certain region of the parameter space of the brane configuration the low-energy theory is a non-local generalization of the Nambu-Jona-Lasinio (NJL) model. This vector model is exactly solvable at large N_c and dynamically breaks chiral symmetry at arbitrarily weak 't Hooft coupling. At strong coupling the dynamics is determined by the low-energy theory on D-branes living in the near-horizon geometry of other branes. In a different region of parameter space the brane construction gives rise to large N_c QCD. Thus the D-brane system interpolates between NJL and QCD.

[ { "created": "Mon, 3 Apr 2006 20:16:30 GMT", "version": "v1" } ]

2007-05-23

[ [ "Antonyan", "E.", "" ], [ "Harvey", "J. A.", "" ], [ "Jensen", "S.", "" ], [ "Kutasov", "D.", "" ] ]

We study a configuration of D-branes in string theory that is described at low energies by a four-dimensional field theory with a dynamically broken chiral symmetry. In a certain region of the parameter space of the brane configuration the low-energy theory is a non-local generalization of the Nambu-Jona-Lasinio (NJL) model. This vector model is exactly solvable at large N_c and dynamically breaks chiral symmetry at arbitrarily weak 't Hooft coupling. At strong coupling the dynamics is determined by the low-energy theory on D-branes living in the near-horizon geometry of other branes. In a different region of parameter space the brane construction gives rise to large N_c QCD. Thus the D-brane system interpolates between NJL and QCD.

5.52108

5.252399

5.671328

5.266656

5.421648

5.230137

5.157369

5.192964

5.164413

6.751947

5.142028

5.174363

5.533447

5.292048

5.322325

5.321223

5.214254

5.207787

5.326354

5.700836

5.184127

1605.04670

Robert Brandenberger

W. S. Hipolito-Ricaldi, Robert Brandenberger, Elisa G.M. Ferreira, L. L. Graef

Particle Production in Ekpyrotic Scenarios

8 pages

null

10.1088/1475-7516/2016/11/024

null

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

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

We consider Parker particle production in the Ekpyrotic scenario (in particular in the New Ekpyrotic model) and show that the density of particles produced by the end of the phase of Ekpyrotic contraction is sufficient to lead to a hot state of matter after the bounce. Hence, no separate reheating mechanism is necessary.

[ { "created": "Mon, 16 May 2016 07:31:27 GMT", "version": "v1" } ]

2016-11-15

[ [ "Hipolito-Ricaldi", "W. S.", "" ], [ "Brandenberger", "Robert", "" ], [ "Ferreira", "Elisa G. M.", "" ], [ "Graef", "L. L.", "" ] ]

We consider Parker particle production in the Ekpyrotic scenario (in particular in the New Ekpyrotic model) and show that the density of particles produced by the end of the phase of Ekpyrotic contraction is sufficient to lead to a hot state of matter after the bounce. Hence, no separate reheating mechanism is necessary.

9.045585

8.948748

7.146307

6.571274

7.844054

6.997229

7.55633

7.322418

7.108418

6.895855

7.820785

7.536672

7.143373

6.865729

7.082584

7.487473

7.416399

7.067523

7.417039

7.173199

7.34322

1404.6495

J\'er\^ome Gleyzes

J\'er\^ome Gleyzes, David Langlois, Federico Piazza and Filippo Vernizzi

Healthy theories beyond Horndeski

5 pages, version accepted in PRL

Phys. Rev. Lett. 114, 211101 (2015)

10.1103/PhysRevLett.114.211101

null

hep-th astro-ph.CO

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

We introduce a new class of scalar-tensor theories that extend Horndeski, or "generalized galileon", models. Despite possessing equations of motion of higher order in derivatives, we show that the true propagating degrees of freedom obey well-behaved second-order equations and are thus free from Ostrogradski instabilities, in contrast to the standard lore. Remarkably, the covariant versions of the original galileon Lagrangians-obtained by direct replacement of derivatives with covariant derivatives-belong to this class of theories. These extensions of Horndeski theories exhibit an uncommon, interesting phenomenology: the scalar degree of freedom affects the speed of sound of matter, even when the latter is minimally coupled to gravity.

[ { "created": "Fri, 25 Apr 2014 18:18:21 GMT", "version": "v1" }, { "created": "Mon, 12 May 2014 15:33:22 GMT", "version": "v2" }, { "created": "Tue, 19 May 2015 18:27:28 GMT", "version": "v3" } ]

2015-06-03

[ [ "Gleyzes", "Jérôme", "" ], [ "Langlois", "David", "" ], [ "Piazza", "Federico", "" ], [ "Vernizzi", "Filippo", "" ] ]

We introduce a new class of scalar-tensor theories that extend Horndeski, or "generalized galileon", models. Despite possessing equations of motion of higher order in derivatives, we show that the true propagating degrees of freedom obey well-behaved second-order equations and are thus free from Ostrogradski instabilities, in contrast to the standard lore. Remarkably, the covariant versions of the original galileon Lagrangians-obtained by direct replacement of derivatives with covariant derivatives-belong to this class of theories. These extensions of Horndeski theories exhibit an uncommon, interesting phenomenology: the scalar degree of freedom affects the speed of sound of matter, even when the latter is minimally coupled to gravity.

6.477992

7.247748

7.298418

6.890821

8.257673

7.649407

7.363167

6.979978

6.867563

7.126835

6.56969

6.774925

6.395636

6.476352

6.958234

6.620916

6.506876

6.663385

6.332232

6.639945

6.42437

hep-th/9211002

null

Toshiki Isse

Unification of Gravity, Gauge and Higgs Fields by Confined Quantum Fields-Mathematical Formulation-

17 pages

Mod.Phys.Lett. A8 (1993) 837-850

10.1142/S0217732393000878

null

hep-th

null

Dynamics of quantized free fields ( of spin 0 and 1/2 ) contained in a subspace $V_*$ of an N+4 dimensional flat space $V$ is studied. The space $V_*$ is considered as a neighborhood of a four dimensional submanifold $M$ arbitrarily embedded into $V$. We study the system as a simple model of unified theory of gravity ($g$), SO(N) gauge fields ($A$) and Higgs fields ($\phi $). In this paper classical treatment of the system is given. We show that, especially when the fields have spin 1/2, the system is described by an infinite number of fields in $M$ interacting with $g$, $A$ and $\phi $. The fields $g$, $A$ and $\phi $ are induced themselves by embedding functions of $M$ and correspond respectively to induced metric, normal connection and extrinsic curvature of $M$.

[ { "created": "Mon, 2 Nov 1992 09:39:17 GMT", "version": "v1" } ]

2009-10-22

[ [ "Isse", "Toshiki", "" ] ]

Dynamics of quantized free fields ( of spin 0 and 1/2 ) contained in a subspace $V_*$ of an N+4 dimensional flat space $V$ is studied. The space $V_*$ is considered as a neighborhood of a four dimensional submanifold $M$ arbitrarily embedded into $V$. We study the system as a simple model of unified theory of gravity ($g$), SO(N) gauge fields ($A$) and Higgs fields ($\phi $). In this paper classical treatment of the system is given. We show that, especially when the fields have spin 1/2, the system is described by an infinite number of fields in $M$ interacting with $g$, $A$ and $\phi $. The fields $g$, $A$ and $\phi $ are induced themselves by embedding functions of $M$ and correspond respectively to induced metric, normal connection and extrinsic curvature of $M$.

9.096859

6.758814

7.971787

7.593468

7.466379

7.337255

7.725883

7.811513

7.682659

8.993741

7.8544

7.732475

8.074208

7.938298

7.870571

7.848608

7.979878

7.926174

8.009413

8.070773

8.117399

hep-th/9505015

Winfried Pfister

Mixed Symmetry Solutions of Generalized Three-Particle Bargmann-Wigner Equations in the Strong-Coupling Limit

17 pages

NuovoCim.A108:1427-1444,1995

10.1007/BF02821059

Tue-prep-95-05-2

hep-th

null

Starting from a nonlinear isospinor-spinor field equation, generalized three-particle Bargmann-Wigner equations are derived. In the strong-coupling limit, a special class of spin 1/2 bound-states are calculated. These solutions which are antisymmetric with respect to all indices, have mixed symmetries in isospin-superspin space and in spin orbit space. As a consequence of this mixed symmetry, we get three solution manifolds. In appendix \ref{b}, table 2, these solution manifolds are interpreted as the three generations of leptons and quarks. This interpretation will be justified in a forthcoming paper.

[ { "created": "Tue, 2 May 1995 14:33:31 GMT", "version": "v1" } ]

2008-11-26

[ [ "Pfister", "Winfried", "" ] ]

Starting from a nonlinear isospinor-spinor field equation, generalized three-particle Bargmann-Wigner equations are derived. In the strong-coupling limit, a special class of spin 1/2 bound-states are calculated. These solutions which are antisymmetric with respect to all indices, have mixed symmetries in isospin-superspin space and in spin orbit space. As a consequence of this mixed symmetry, we get three solution manifolds. In appendix \ref{b}, table 2, these solution manifolds are interpreted as the three generations of leptons and quarks. This interpretation will be justified in a forthcoming paper.

12.759938

13.335893

13.532936

12.212782

13.360604

12.316535

12.819921

12.656698

12.449072

14.976791

12.567892

11.993879

12.031651

12.132204

12.044268

12.348658

11.572674

11.468537

11.487954

11.89992

11.669644

hep-th/9702014

Kutasov David

S. Elitzur, A. Giveon, D. Kutasov

Branes and N=1 Duality in String Theory

8 pages, harvmac; minor changes, additional references

Phys.Lett. B400 (1997) 269-274

10.1016/S0370-2693(97)00375-4

null

hep-th

null

We propose a construction of dual pairs in four dimensional N=1 supersymmetric Yang-Mills theory using branes in type IIA string theory.

[ { "created": "Sun, 2 Feb 1997 22:13:00 GMT", "version": "v1" }, { "created": "Sun, 9 Feb 1997 21:50:30 GMT", "version": "v2" } ]

2009-10-30

[ [ "Elitzur", "S.", "" ], [ "Giveon", "A.", "" ], [ "Kutasov", "D.", "" ] ]

We propose a construction of dual pairs in four dimensional N=1 supersymmetric Yang-Mills theory using branes in type IIA string theory.

8.580479

4.831196

8.105719

4.875018

5.255254

4.702966

5.044535

5.007179

5.097622

7.542059

5.145513

6.101025

7.767147

6.082837

5.995804

6.287756

5.89002

6.342579

6.164663

7.330359

6.26187

1104.4446

Klaus Bering

A Note on Angular Momentum Commutators in Light-Cone Formulation of Open Bosonic String Theory

11 pages, LaTeX. v2: Various pedagogical improvements

null

hep-th

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

We recalculate in a systematic and pedagogical way one of the most important results of Bosonic open string theory in the light-cone formulation, namely the [J^{-i},J^{-j}] commutators, which together with Lorentz covariance, famously yield the critical dimension D=26 and the normal order constant a=1. We use traditional transverse oscillator mode expansions (avoiding the elegant but more advanced language of operator product expansions). We streamline the proof by introducing a novel bookkeeping/regularization parameter \kappa to avoid splitting into creation and annihilation parts, and to avoid sandwiching between bras and kets.

[ { "created": "Fri, 22 Apr 2011 14:20:53 GMT", "version": "v1" }, { "created": "Tue, 28 Feb 2012 19:50:25 GMT", "version": "v2" } ]

2012-02-29

[ [ "Bering", "Klaus", "" ] ]

We recalculate in a systematic and pedagogical way one of the most important results of Bosonic open string theory in the light-cone formulation, namely the [J^{-i},J^{-j}] commutators, which together with Lorentz covariance, famously yield the critical dimension D=26 and the normal order constant a=1. We use traditional transverse oscillator mode expansions (avoiding the elegant but more advanced language of operator product expansions). We streamline the proof by introducing a novel bookkeeping/regularization parameter \kappa to avoid splitting into creation and annihilation parts, and to avoid sandwiching between bras and kets.

18.189068

18.765594

19.245455

14.26595

17.528362

16.122953

16.457653

15.057177

13.994218

21.249882

14.688244

15.640093

17.571808

15.8054

15.447682

15.891207

15.879341

15.1003

15.71909

16.901794

15.442052

hep-th/0201192

Osman Teoman Turgut

E. Toprak (1), O. T. Turgut (1 and 2) ((1) Bogazici University, Istanbul and (2) KTH, Stockholm)

Large N limit of SO(N) gauge theory of fermions and bosons

27 pages, no figures

J.Math.Phys. 43 (2002) 3074-3096

10.1063/1.1467097

null

hep-th

null

In this paper we study the large N_c limit of SO(N_c) gauge theory coupled to a Majorana field and a real scalar field in 1+1 dimensions extending ideas of Rajeev. We show that the phase space of the resulting classical theory of bilinears, which are the mesonic operators of this theory, is OSp_1(H|H )/U(H_+|H_+), where H|H refers to the underlying complex graded space of combined one-particle states of fermions and bosons and H_+|H_+ corresponds to the positive frequency subspace. In the begining to simplify our presentation we discuss in detail the case with Majorana fermions only (the purely bosonic case is treated in our earlier work). In the Majorana fermion case the phase space is given by O_1(H)/U(H_+), where H refers to the complex one-particle states and H_+ to its positive frequency subspace. The meson spectrum in the linear approximation again obeys a variant of the 't Hooft equation. The linear approximation to the boson/fermion coupled case brings an additonal bound state equation for mesons, which consists of one fermion and one boson, again of the same form as the well-known 't Hooft equation.

[ { "created": "Thu, 24 Jan 2002 13:48:31 GMT", "version": "v1" } ]

2009-11-07

[ [ "Toprak", "E.", "", "1 and 2" ], [ "Turgut", "O. T.", "", "1 and 2" ] ]

In this paper we study the large N_c limit of SO(N_c) gauge theory coupled to a Majorana field and a real scalar field in 1+1 dimensions extending ideas of Rajeev. We show that the phase space of the resulting classical theory of bilinears, which are the mesonic operators of this theory, is OSp_1(H|H )/U(H_+|H_+), where H|H refers to the underlying complex graded space of combined one-particle states of fermions and bosons and H_+|H_+ corresponds to the positive frequency subspace. In the begining to simplify our presentation we discuss in detail the case with Majorana fermions only (the purely bosonic case is treated in our earlier work). In the Majorana fermion case the phase space is given by O_1(H)/U(H_+), where H refers to the complex one-particle states and H_+ to its positive frequency subspace. The meson spectrum in the linear approximation again obeys a variant of the 't Hooft equation. The linear approximation to the boson/fermion coupled case brings an additonal bound state equation for mesons, which consists of one fermion and one boson, again of the same form as the well-known 't Hooft equation.

9.038592

8.987664

8.96806

8.639716

9.253566

9.334974

8.462416

7.99377

8.357291

9.670362

8.364687

8.45677

8.513648

8.367278

8.83919

8.655934

8.732109

8.489409

8.414468

8.577776

8.478871

1402.5027

Jeong-Hyuck Park

Jeong-Hyuck Park and Yoonji Suh

U-gravity : ${\mathbf{SL}(N)}$

1+36 pages. Comments added. To appear in JHEP

JHEP 1406 (2014) 102

10.1007/JHEP06(2014)102

null

hep-th math.DG

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

We construct a duality manifest gravitational theory for the special linear group, ${\mathbf{SL}(N)}$ with $N{\neq 4}$. The spacetime is formally extended, to have the dimension $\textstyle{\frac{1}{2}} N(N-1)$, yet is `gauged'. Consequently the theory is subject to a section condition. We introduce a semi-covariant derivative and a semi-covariant `Riemann' curvature, both of which can be completely covariantized after symmetrizing or contracting the ${\mathbf{SL}(N)}$ vector indices properly. Fully covariant scalar and `Ricci' curvatures then constitute the action and the `Einstein' equation of motion. For $N\geq 5$, the section condition admits duality inequivalent two solutions, one $(N-1)$-dimensional and the other three-dimensional. In each case, the theory can describe not only Riemannian but also non-Riemannian backgrounds.

[ { "created": "Thu, 20 Feb 2014 15:19:52 GMT", "version": "v1" }, { "created": "Tue, 27 May 2014 08:50:21 GMT", "version": "v2" } ]

2014-07-08

[ [ "Park", "Jeong-Hyuck", "" ], [ "Suh", "Yoonji", "" ] ]

We construct a duality manifest gravitational theory for the special linear group, ${\mathbf{SL}(N)}$ with $N{\neq 4}$. The spacetime is formally extended, to have the dimension $\textstyle{\frac{1}{2}} N(N-1)$, yet is `gauged'. Consequently the theory is subject to a section condition. We introduce a semi-covariant derivative and a semi-covariant `Riemann' curvature, both of which can be completely covariantized after symmetrizing or contracting the ${\mathbf{SL}(N)}$ vector indices properly. Fully covariant scalar and `Ricci' curvatures then constitute the action and the `Einstein' equation of motion. For $N\geq 5$, the section condition admits duality inequivalent two solutions, one $(N-1)$-dimensional and the other three-dimensional. In each case, the theory can describe not only Riemannian but also non-Riemannian backgrounds.

8.557132

8.462978

9.327023

8.943912

9.201435

9.417436

9.1624

9.01832

8.829578

10.243631

8.344463

8.388239

8.87501

8.454085

8.603922

8.484034

8.765619

8.397309

8.399784

8.715603

8.218274

1707.04217

Andrew Bond

Andrew D. Bond, Daniel F. Litim

More asymptotic safety guaranteed

62 pages, 16 figures, 9 tables. v2: References added, minor typos corrected; version accepted for publication in PRD

Phys. Rev. D 97, 085008 (2018)

10.1103/PhysRevD.97.085008

null

hep-th hep-ph

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

We study interacting fixed points and phase diagrams of simple and semi-simple quantum field theories in four dimensions involving non-abelian gauge fields, fermions and scalars in the Veneziano limit. Particular emphasis is put on new phenomena which arise due to the semisimple nature of the theory. Using matter field multiplicities as free parameters, we find a large variety of interacting conformal fixed points with stable vacua and crossovers inbetween. Highlights include semi-simple gauge theories with exact asymptotic safety, theories with one or several interacting fixed points in the IR, theories where one of the gauge sectors is both UV free and IR free, and theories with weakly interacting fixed points in the UV and the IR limits. The phase diagrams for various simple and semi-simple settings are also given. Further aspects such as perturbativity beyond the Veneziano limit, conformal windows, and implications for model building are discussed.

[ { "created": "Thu, 13 Jul 2017 16:42:50 GMT", "version": "v1" }, { "created": "Wed, 28 Mar 2018 14:14:20 GMT", "version": "v2" } ]

2018-04-18

[ [ "Bond", "Andrew D.", "" ], [ "Litim", "Daniel F.", "" ] ]

We study interacting fixed points and phase diagrams of simple and semi-simple quantum field theories in four dimensions involving non-abelian gauge fields, fermions and scalars in the Veneziano limit. Particular emphasis is put on new phenomena which arise due to the semisimple nature of the theory. Using matter field multiplicities as free parameters, we find a large variety of interacting conformal fixed points with stable vacua and crossovers inbetween. Highlights include semi-simple gauge theories with exact asymptotic safety, theories with one or several interacting fixed points in the IR, theories where one of the gauge sectors is both UV free and IR free, and theories with weakly interacting fixed points in the UV and the IR limits. The phase diagrams for various simple and semi-simple settings are also given. Further aspects such as perturbativity beyond the Veneziano limit, conformal windows, and implications for model building are discussed.

9.49151

9.793303

10.62929

9.112168

9.810845

10.146537

10.543478

9.5954

9.363419

11.478944

9.333726

9.579736

9.534744

9.067802

9.368045

9.402699

9.568099

9.274635

9.248491

9.217727

9.028572

1012.2717

Antonio Accioly

Antonio Accioly, Jos\'e Helay\"el-Neto, and Eslley Scatena

Upper bounds on the photon mass

null

Phys.Rev.D82:065026,2010

10.1103/PhysRevD.82.065026

null

hep-th gr-qc

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

The effects of a nonzero photon rest mass can be incorporated into electromagnetism in a simple way using the Proca equations. In this vein, two interesting implications regarding the possible existence of a massive photon in nature, i.e., tiny alterations in the known values of both the anomalous magnetic moment of the electron and the gravitational deflection of electromagnetic radiation, are utilized to set upper limits on its mass. The bounds obtained are not as stringent as those recently found; nonetheless, they are comparable to other existing bounds and bring new elements to the issue of restricting the photon mass.

[ { "created": "Mon, 13 Dec 2010 13:02:31 GMT", "version": "v1" } ]

2016-08-14

[ [ "Accioly", "Antonio", "" ], [ "Helayël-Neto", "José", "" ], [ "Scatena", "Eslley", "" ] ]

The effects of a nonzero photon rest mass can be incorporated into electromagnetism in a simple way using the Proca equations. In this vein, two interesting implications regarding the possible existence of a massive photon in nature, i.e., tiny alterations in the known values of both the anomalous magnetic moment of the electron and the gravitational deflection of electromagnetic radiation, are utilized to set upper limits on its mass. The bounds obtained are not as stringent as those recently found; nonetheless, they are comparable to other existing bounds and bring new elements to the issue of restricting the photon mass.

11.507351

14.032941

11.235717

10.520938

11.488437

11.541908

11.33222

11.560487

11.41989

11.939596

12.705881

11.660333

11.125258

11.173399

11.186847

11.43385

11.299443

10.851128

11.327171

11.183374

11.52185

0911.0082

David Dudal

D. Dudal, N. Vandersickel, H. Verschelde, S.P. Sorella

Aspects of the Gribov-Zwanziger framework

12 pages, proceeding for the International Workshop on QCD Green's Functions, Confinement, and Phenomenology (QCD-TNT09)

PoS QCD-TNT09:012,2009

null

hep-th

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

The existence of gauge (Gribov) copies disturbs the usual Faddeev-Popov quantization procedure in the Landau gauge. It is a very hard job to treat these in the continuum, even in a partial manner. A decent way to do so was worked out by Gribov, and later on by Zwanziger. The final point was a renormalizable action (the Gribov-Zwanziger action), implementing the restriction of the path integration to the so-called Gribov region, which is free of a subset of gauge copies, but not of all copies. Till recently, everybody agreed upon the fact that the restriction to the Gribov region implied a infrared enhanced ghost, and vanishing zero momentum gluon propagator. We discuss how the Gribov-Zwanziger action naturally leads to the existence of vacuum condensates of dimension two. As it is very common, such condensates can seriously alter the dynamics. In particular, the Gribov-Zwanziger condensates give rise to a gluon propagator with a finite but nonvanishing zero momentum limit, and reconstitute a nonenhanced ghost. We call this the refined Gribov-Zwanziger framework. The predictions are in qualitative agreement with most recent lattice simulations, and certain solutions of the Schwinger-Dyson equations. A crucial feature of the Gribov-Zwanziger framework is the soft (controllable) breaking of the BRST symmetry. We also point out that imposing the Kugo-Ojima confinement criterion on the Faddeev-Popov theory as a boundary condition from the beginning leads to the same partition function as of Gribov-Zwanziger, with associated BRST symmetry breaking. This clouds the interpretation of the Kugo-Ojima criterion in se.

[ { "created": "Sat, 31 Oct 2009 14:22:53 GMT", "version": "v1" } ]

2011-07-14

[ [ "Dudal", "D.", "" ], [ "Vandersickel", "N.", "" ], [ "Verschelde", "H.", "" ], [ "Sorella", "S. P.", "" ] ]

The existence of gauge (Gribov) copies disturbs the usual Faddeev-Popov quantization procedure in the Landau gauge. It is a very hard job to treat these in the continuum, even in a partial manner. A decent way to do so was worked out by Gribov, and later on by Zwanziger. The final point was a renormalizable action (the Gribov-Zwanziger action), implementing the restriction of the path integration to the so-called Gribov region, which is free of a subset of gauge copies, but not of all copies. Till recently, everybody agreed upon the fact that the restriction to the Gribov region implied a infrared enhanced ghost, and vanishing zero momentum gluon propagator. We discuss how the Gribov-Zwanziger action naturally leads to the existence of vacuum condensates of dimension two. As it is very common, such condensates can seriously alter the dynamics. In particular, the Gribov-Zwanziger condensates give rise to a gluon propagator with a finite but nonvanishing zero momentum limit, and reconstitute a nonenhanced ghost. We call this the refined Gribov-Zwanziger framework. The predictions are in qualitative agreement with most recent lattice simulations, and certain solutions of the Schwinger-Dyson equations. A crucial feature of the Gribov-Zwanziger framework is the soft (controllable) breaking of the BRST symmetry. We also point out that imposing the Kugo-Ojima confinement criterion on the Faddeev-Popov theory as a boundary condition from the beginning leads to the same partition function as of Gribov-Zwanziger, with associated BRST symmetry breaking. This clouds the interpretation of the Kugo-Ojima criterion in se.

7.014603

7.059721

7.840606

7.133701

7.801457

7.503883

7.715943

7.225454

7.222878

8.273938

7.100247

7.045019

7.102051

6.885003

7.095713

7.18723

7.146413

6.966515

6.911095

7.160669

6.926491

hep-th/0105316

null

Sergiu I. Vacaru and Florian Catalin Popa

Dirac Spinor Waves and Solitons in Anisotropic Taub-NUT Spaces

revtex, 16 pages, version 4, affiliation changed, accepted to CQG

Class.Quant.Grav. 18 (2001) 4921-4938

10.1088/0264-9381/18/22/314

null

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

null

We apply a new general method of anholonomic frames with associated nonlinear connection structure to construct new classes of exact solutions of Einstein-Dirac equations in five dimensional (5D)gravity. Such solutions are parametrized by off-diagonal metrics in coordinate (holonomic) bases, or, equivalently, by diagonal metrics given with respect to some anholonomic frames (pentads, or funfbiends, satisfing corresponding constraint relations). We consider two possibilities of generalization of the Taub NUT metric in order to obtain vacuum solutions of 5D Einsitein equations with effective renormalization of constants having distinguished anisotropies on an angular parameter or on extra dimension coordinate. The constructions are extended to solutions describing self-consistent propagations of 3D Dirac wave packets in 5D anisotropic Taub NUT spacetimes. We show that such anisotropic configurations of spinor matter can induce gravitational 3D solitons being solutions of Kadomtsev-Petviashvili or of sine-Gordon equations.

[ { "created": "Thu, 31 May 2001 13:48:41 GMT", "version": "v1" }, { "created": "Mon, 4 Jun 2001 09:24:11 GMT", "version": "v2" }, { "created": "Mon, 15 Oct 2001 18:44:50 GMT", "version": "v3" } ]

2009-11-07

[ [ "Vacaru", "Sergiu I.", "" ], [ "Popa", "Florian Catalin", "" ] ]

We apply a new general method of anholonomic frames with associated nonlinear connection structure to construct new classes of exact solutions of Einstein-Dirac equations in five dimensional (5D)gravity. Such solutions are parametrized by off-diagonal metrics in coordinate (holonomic) bases, or, equivalently, by diagonal metrics given with respect to some anholonomic frames (pentads, or funfbiends, satisfing corresponding constraint relations). We consider two possibilities of generalization of the Taub NUT metric in order to obtain vacuum solutions of 5D Einsitein equations with effective renormalization of constants having distinguished anisotropies on an angular parameter or on extra dimension coordinate. The constructions are extended to solutions describing self-consistent propagations of 3D Dirac wave packets in 5D anisotropic Taub NUT spacetimes. We show that such anisotropic configurations of spinor matter can induce gravitational 3D solitons being solutions of Kadomtsev-Petviashvili or of sine-Gordon equations.

12.589896

14.068612

12.901529

12.019371

13.697519

13.412631

13.870855

12.262953

12.39313

14.763145

13.109784

12.75325

12.313585

11.938592

12.559625

12.709944

12.87189

12.329551

13.172285

12.630493

12.445638

1904.08876

Manya Sahni Miss

Rajesh Kumar Gupta, Sameer Murthy, Manya Sahni

On the localization manifold of 5d supersymmetric spinning black holes

null

10.1007/JHEP10(2019)172

null

hep-th

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

We analyze the localization equations relevant to the quantum entropy of spinning supersymmetric black holes in five-dimensional asymptotically flat space. The precise problem is to classify all solutions to the off-shell supersymmetry equations in N=2 supergravity coupled to $n_\text{v}+1$ vector multiplets around the near-horizon black hole. We rewrite these equations in terms of the bosonic spinor bilinears that exist in the geometry for an arbitrary background. We then focus on the vector multiplet fluctuations around the near-horizon attractor region of the supersymmetric black hole, and classify all smooth solutions to the localization equations in this background for different choices of analytic continuation. For the choice of analytic continuation consistent with the 4d/5d lift, we find that the most general localization solution for the five-dimensional black hole problem is an~$(n_\text{v}+1)$-dimensional manifold, which is precisely the lift of the localization manifold for supersymmetric black holes in four-dimensional asymptotically flat space.

[ { "created": "Thu, 18 Apr 2019 16:30:17 GMT", "version": "v1" } ]

2020-01-08

[ [ "Gupta", "Rajesh Kumar", "" ], [ "Murthy", "Sameer", "" ], [ "Sahni", "Manya", "" ] ]

We analyze the localization equations relevant to the quantum entropy of spinning supersymmetric black holes in five-dimensional asymptotically flat space. The precise problem is to classify all solutions to the off-shell supersymmetry equations in N=2 supergravity coupled to $n_\text{v}+1$ vector multiplets around the near-horizon black hole. We rewrite these equations in terms of the bosonic spinor bilinears that exist in the geometry for an arbitrary background. We then focus on the vector multiplet fluctuations around the near-horizon attractor region of the supersymmetric black hole, and classify all smooth solutions to the localization equations in this background for different choices of analytic continuation. For the choice of analytic continuation consistent with the 4d/5d lift, we find that the most general localization solution for the five-dimensional black hole problem is an~$(n_\text{v}+1)$-dimensional manifold, which is precisely the lift of the localization manifold for supersymmetric black holes in four-dimensional asymptotically flat space.

8.337342

7.750327

9.145034

7.448575

7.236498

7.707236

7.433204

7.538142

7.608564

9.335779

7.475194

7.274677

7.888839

7.335559

7.300707

7.309043

7.242906

7.386704

7.180795

8.489661

7.138564

1707.07702

Thomas Hertog

S. W. Hawking and Thomas Hertog

A Smooth Exit from Eternal Inflation?

15 pages; v2: added explicit calculation of higher-spin toy-model; v3: minor changes to provide more context, references added, version accepted for publication in JHEP

null

10.1007/JHEP04(2018)147

null

hep-th astro-ph.CO gr-qc

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

The usual theory of inflation breaks down in eternal inflation. We derive a dual description of eternal inflation in terms of a deformed Euclidean CFT located at the threshold of eternal inflation. The partition function gives the amplitude of different geometries of the threshold surface in the no-boundary state. Its local and global behavior in dual toy models shows that the amplitude is low for surfaces which are not nearly conformal to the round three-sphere and essentially zero for surfaces with negative curvature. Based on this we conjecture that the exit from eternal inflation does not produce an infinite fractal-like multiverse, but is finite and reasonably smooth.

[ { "created": "Mon, 24 Jul 2017 18:15:04 GMT", "version": "v1" }, { "created": "Sun, 4 Mar 2018 10:11:05 GMT", "version": "v2" }, { "created": "Fri, 20 Apr 2018 14:46:19 GMT", "version": "v3" } ]

2018-05-23

[ [ "Hawking", "S. W.", "" ], [ "Hertog", "Thomas", "" ] ]

The usual theory of inflation breaks down in eternal inflation. We derive a dual description of eternal inflation in terms of a deformed Euclidean CFT located at the threshold of eternal inflation. The partition function gives the amplitude of different geometries of the threshold surface in the no-boundary state. Its local and global behavior in dual toy models shows that the amplitude is low for surfaces which are not nearly conformal to the round three-sphere and essentially zero for surfaces with negative curvature. Based on this we conjecture that the exit from eternal inflation does not produce an infinite fractal-like multiverse, but is finite and reasonably smooth.

11.46994

13.120427

13.148432

12.232325

12.14393

14.733897

13.026853

12.486374

13.251761

14.226092

12.805561

12.935147

12.284769

11.58498

12.363267

12.579977

12.245064

11.648272

11.572221

11.900591

12.154858

2401.07905

Jani Kastikainen

Niko Jokela, Jani Kastikainen, Jos\'e Manuel Pen\'in, Helime Ruotsalainen

Flavors of entanglement

69 pages, 3 figures, 5 appendices

null

HIP-2024-2/TH

hep-th cond-mat.str-el gr-qc

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

We employ holography to investigate Liu-Mezei renormalization group monotones in conformal field theories influenced by massive flavor degrees of freedom. We examine the entanglement entropy of a spherical subregion in three holographic field theories - $\mathcal{N}=1$ Klebanov-Witten theory, $\mathcal{N}=4$ SYM theory, and ABJM theory - with fundamental flavor. The gravity dual of massive unquenched flavor is described by dynamical D-branes, and we solve their backreaction in the smeared approximation. We compute entanglement entropy using the Ryu-Takayanagi formula in these backreacted geometries. Our findings indicate that the Liu-Mezei A- and F-functions decrease monotonically to leading order in the number of flavors across all examples. Additionally, we calculate the leading flavor contribution to entanglement entropy using an alternative probe brane method that does not require knowledge of backreaction in the bulk geometries. These results consistently match with backreacted calculations in all cases, assuming omission of a specific IR boundary term stemming from a total derivative.

[ { "created": "Mon, 15 Jan 2024 19:00:01 GMT", "version": "v1" } ]

2024-01-17

[ [ "Jokela", "Niko", "" ], [ "Kastikainen", "Jani", "" ], [ "Penín", "José Manuel", "" ], [ "Ruotsalainen", "Helime", "" ] ]

We employ holography to investigate Liu-Mezei renormalization group monotones in conformal field theories influenced by massive flavor degrees of freedom. We examine the entanglement entropy of a spherical subregion in three holographic field theories - $\mathcal{N}=1$ Klebanov-Witten theory, $\mathcal{N}=4$ SYM theory, and ABJM theory - with fundamental flavor. The gravity dual of massive unquenched flavor is described by dynamical D-branes, and we solve their backreaction in the smeared approximation. We compute entanglement entropy using the Ryu-Takayanagi formula in these backreacted geometries. Our findings indicate that the Liu-Mezei A- and F-functions decrease monotonically to leading order in the number of flavors across all examples. Additionally, we calculate the leading flavor contribution to entanglement entropy using an alternative probe brane method that does not require knowledge of backreaction in the bulk geometries. These results consistently match with backreacted calculations in all cases, assuming omission of a specific IR boundary term stemming from a total derivative.

9.570111

9.204906

11.011312

8.505709

9.457696

8.401841

9.04274

9.440279

9.082773

11.946257

8.995275

9.236213

10.208179

8.948312

8.816452

8.925283

9.045049

9.257062

9.349815

9.959658

9.112166

2407.02565

Xin Gao

Xu Cao, Hongfei Gao, and Xin Gao

Orientifold Calabi-Yau Threefolds: Divisor Exchanges and Multi-Reflections

55 pages, 2 figures

null

hep-th

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

Using the Kreuzer-Skarke database of 4-dimensional reflexive polytopes, we systematically constructed a new database of orientifold Calabi-Yau threefolds with $h^{1,1}(X) \leq 12$. Our approach involved non-trivial $\mathbb{Z}_2$ involutions, incorporating both divisor exchanges and multi-divisor reflections acting on the Calabi-Yau threefolds. Each proper involution results in an orientifold Calabi-Yau threefolds and we constructed 320,386,067 such examples. We developed a novel algorithm that significantly reduces the complexity of determining all the fixed loci under the involutions, and clarifies the types of O-planes. Our results show that under proper involutions, the majority of cases end up with O3/O7-plane systems, and most of these further admit a naive Type IIB string vacua. Additionally, a new type of free action was determined. We also computed the smoothness and the splitting of Hodge numbers in the $\mathbb{Z}_2$-orbifold limit for these orientifold Calabi-Yau threefolds.

[ { "created": "Tue, 2 Jul 2024 18:00:02 GMT", "version": "v1" } ]

2024-07-04

[ [ "Cao", "Xu", "" ], [ "Gao", "Hongfei", "" ], [ "Gao", "Xin", "" ] ]

Using the Kreuzer-Skarke database of 4-dimensional reflexive polytopes, we systematically constructed a new database of orientifold Calabi-Yau threefolds with $h^{1,1}(X) \leq 12$. Our approach involved non-trivial $\mathbb{Z}_2$ involutions, incorporating both divisor exchanges and multi-divisor reflections acting on the Calabi-Yau threefolds. Each proper involution results in an orientifold Calabi-Yau threefolds and we constructed 320,386,067 such examples. We developed a novel algorithm that significantly reduces the complexity of determining all the fixed loci under the involutions, and clarifies the types of O-planes. Our results show that under proper involutions, the majority of cases end up with O3/O7-plane systems, and most of these further admit a naive Type IIB string vacua. Additionally, a new type of free action was determined. We also computed the smoothness and the splitting of Hodge numbers in the $\mathbb{Z}_2$-orbifold limit for these orientifold Calabi-Yau threefolds.

9.607929

10.167804

11.539474

9.430006

9.847333

9.654813

9.464752

9.132959

9.450091

13.389126

9.006104

9.171689

9.720078

9.263961

9.513476

9.46834

9.642167

9.165647

9.281466

10.322705

9.221855

1104.2692

Kazuharu Bamba

Kazuharu Bamba, Shin'ichi Nojiri, Sergei D. Odintsov and Misao Sasaki

Screening of cosmological constant for De Sitter Universe in non-local gravity, phantom-divide crossing and finite-time future singularities

42 pages, no figure, version accepted for publication in General Relativity and Gravitation

null

10.1007/s10714-012-1342-7

YITP-11-46

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

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

We investigate de Sitter solutions in non-local gravity as well as in non-local gravity with Lagrange constraint multiplier. We examine a condition to avoid a ghost and discuss a screening scenario for a cosmological constant in de Sitter solutions. Furthermore, we explicitly demonstrate that three types of the finite-time future singularities can occur in non-local gravity and explore their properties. In addition, we evaluate the effective equation of state for the universe and show that the late-time accelerating universe may be effectively the quintessence, cosmological constant or phantom-like phases. In particular, it is found that there is a case in which a crossing of the phantom divide from the non-phantom (quintessence) phase to the phantom one can be realized when a finite-time future singularity occurs. Moreover, it is demonstrated that the addition of an $R^2$ term can cure the finite-time future singularities in non-local gravity. It is also suggested that in the framework of non-local gravity, adding an $R^2$ term leads to possible unification of the early-time inflation with the late-time cosmic acceleration.

[ { "created": "Thu, 14 Apr 2011 08:16:29 GMT", "version": "v1" }, { "created": "Fri, 3 Jun 2011 10:21:36 GMT", "version": "v2" }, { "created": "Wed, 15 Feb 2012 02:25:37 GMT", "version": "v3" } ]

2015-05-27

[ [ "Bamba", "Kazuharu", "" ], [ "Nojiri", "Shin'ichi", "" ], [ "Odintsov", "Sergei D.", "" ], [ "Sasaki", "Misao", "" ] ]

We investigate de Sitter solutions in non-local gravity as well as in non-local gravity with Lagrange constraint multiplier. We examine a condition to avoid a ghost and discuss a screening scenario for a cosmological constant in de Sitter solutions. Furthermore, we explicitly demonstrate that three types of the finite-time future singularities can occur in non-local gravity and explore their properties. In addition, we evaluate the effective equation of state for the universe and show that the late-time accelerating universe may be effectively the quintessence, cosmological constant or phantom-like phases. In particular, it is found that there is a case in which a crossing of the phantom divide from the non-phantom (quintessence) phase to the phantom one can be realized when a finite-time future singularity occurs. Moreover, it is demonstrated that the addition of an $R^2$ term can cure the finite-time future singularities in non-local gravity. It is also suggested that in the framework of non-local gravity, adding an $R^2$ term leads to possible unification of the early-time inflation with the late-time cosmic acceleration.

7.060347

6.605385

6.69534

6.479248

6.720012

6.46784

6.170193

6.343633

6.50719

6.571532

6.291286

6.691953

6.818142

6.716438

6.695621

6.708529

6.855049

6.472551

6.751187

6.678921

6.65853

hep-th/0002203

Hidenori Sonoda

QED out of matter

latex, 19 pages, 9 figures

Nucl.Phys. B585 (2000) 725-740

10.1016/S0550-3213(00)00340-0

KOBE-TH-00-01

hep-th hep-ph

null

The Wilsonian renormalization group implies that an arbitrary four dimensional field theory with an ultraviolet cutoff is equivalent to a theory which is renormalizable by power counting at energy scales much below the cutoff. This applies to any theory including those with non-renormalizable interactions as long as we fine-tune the mass parameters. We analyze two simple models with current-current interactions but without elementary gauge fields from this viewpoint. We show how to tune the parameters of the models so that they become equivalent to QED at energies much below the cutoff.

[ { "created": "Thu, 24 Feb 2000 03:56:19 GMT", "version": "v1" } ]

2009-10-31

[ [ "Sonoda", "Hidenori", "" ] ]

The Wilsonian renormalization group implies that an arbitrary four dimensional field theory with an ultraviolet cutoff is equivalent to a theory which is renormalizable by power counting at energy scales much below the cutoff. This applies to any theory including those with non-renormalizable interactions as long as we fine-tune the mass parameters. We analyze two simple models with current-current interactions but without elementary gauge fields from this viewpoint. We show how to tune the parameters of the models so that they become equivalent to QED at energies much below the cutoff.

10.663074

8.710036

9.328889

8.810163

9.802724

9.125535

9.01074

9.476622

8.768943

9.814775

8.470952

8.863381

9.440577

8.464888

8.917377

8.774707

8.944402

8.933935

8.69603

9.020496

8.529147

2102.01680

Silvia Nagy

Miguel Campiglia and Silvia Nagy

A double copy for asymptotic symmetries in the self-dual sector

45 pages, 1 figure, replaced to match published version

null

10.1007/JHEP03(2021)262

null

hep-th gr-qc

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

We give a double copy construction for the symmetries of the self-dual sectors of Yang-Mills (YM) and gravity, in the light-cone formulation. We find an infinite set of double copy constructible symmetries. We focus on two families which correspond to the residual diffeomorphisms on the gravitational side. For the first one, we find novel non-perturbative double copy rules in the bulk. The second family has a more striking structure, as a non-perturbative gravitational symmetry is obtained from a perturbatively defined symmetry on the YM side. At null infinity, we find the YM origin of the subset of extended Bondi-Metzner-Sachs (BMS) symmetries that preserve the self-duality condition. In particular, holomorphic large gauge YM symmetries are double copied to holomorphic supertranslations. We also identify the single copy of superrotations with certain non-gauge YM transformations that to our knowledge have not been previously presented in the literature.

[ { "created": "Tue, 2 Feb 2021 18:50:58 GMT", "version": "v1" }, { "created": "Tue, 21 Dec 2021 21:35:21 GMT", "version": "v2" } ]

2021-12-23

[ [ "Campiglia", "Miguel", "" ], [ "Nagy", "Silvia", "" ] ]

We give a double copy construction for the symmetries of the self-dual sectors of Yang-Mills (YM) and gravity, in the light-cone formulation. We find an infinite set of double copy constructible symmetries. We focus on two families which correspond to the residual diffeomorphisms on the gravitational side. For the first one, we find novel non-perturbative double copy rules in the bulk. The second family has a more striking structure, as a non-perturbative gravitational symmetry is obtained from a perturbatively defined symmetry on the YM side. At null infinity, we find the YM origin of the subset of extended Bondi-Metzner-Sachs (BMS) symmetries that preserve the self-duality condition. In particular, holomorphic large gauge YM symmetries are double copied to holomorphic supertranslations. We also identify the single copy of superrotations with certain non-gauge YM transformations that to our knowledge have not been previously presented in the literature.

8.092889

7.631066

8.718951

7.369874

8.02758

7.569231

7.950115

7.691766

7.422199

9.142776

7.317609

7.125775

7.798765

7.301157

7.247881

7.065757

7.258024

7.23478

7.332267

7.999859

7.048729

hep-th/0002036

V. Suneeta

T.R. Govindarajan, V. Suneeta and S. Vaidya

Horizon States for AdS Black Holes

18 pages, 2 figures, version to appear in Nuclear Physics B

Nucl.Phys. B583 (2000) 291-303

10.1016/S0550-3213(00)00336-9

IMSc/2000/02/03, TIFR/TH/00-08

hep-th gr-qc

null

We study the time-independent modes of a massless scalar field in various black hole backgrounds, and show that for these black holes, the time-independent mode is localised at the horizon. A similar analysis is done for time-independent equilibrium modes of the five dimensional plane AdS black hole. A self-adjointness analysis of this problem reveals that in addition to the modes corresponding to the usual glueball states, there is a discrete infinity of other equilibrium modes with imaginary mass for the glueball. We suggest these modes may be related to a Savvidy-Nielsen-Olesen-like vacuum instability in QCD.

[ { "created": "Fri, 4 Feb 2000 16:21:02 GMT", "version": "v1" }, { "created": "Mon, 7 Feb 2000 12:32:33 GMT", "version": "v2" }, { "created": "Tue, 25 Jul 2000 13:42:44 GMT", "version": "v3" } ]

2009-10-31

[ [ "Govindarajan", "T. R.", "" ], [ "Suneeta", "V.", "" ], [ "Vaidya", "S.", "" ] ]

We study the time-independent modes of a massless scalar field in various black hole backgrounds, and show that for these black holes, the time-independent mode is localised at the horizon. A similar analysis is done for time-independent equilibrium modes of the five dimensional plane AdS black hole. A self-adjointness analysis of this problem reveals that in addition to the modes corresponding to the usual glueball states, there is a discrete infinity of other equilibrium modes with imaginary mass for the glueball. We suggest these modes may be related to a Savvidy-Nielsen-Olesen-like vacuum instability in QCD.

12.585195

12.275344

12.237266

11.436673

11.773835

11.264359

10.959219

11.66518

11.121652

13.254609

11.70133

11.353276

11.696307

10.823099

11.397554

11.154189

11.176502

10.995915

11.430098

11.909596

10.75367

hep-th/0412011

Eugen Radu

Vanush Paturyan, Eugen Radu and D. H. Tchrakian

Rotating regular solutions in Einstein-Yang-Mills-Higgs theory

7 pages, 4 figures: misprints corrected

Phys.Lett. B609 (2005) 360-366

10.1016/j.physletb.2005.02.001

null

hep-th gr-qc

null

We construct new axially symmetric rotating solutions of Einstein-Yang-Mills-Higgs theory. These globally regular configurations possess a nonvanishing electric charge which equals the total angular momentum, and zero topological charge, representing a monopole-antimonopole system rotating around the symmetry axis through their common center of mass.

[ { "created": "Wed, 1 Dec 2004 16:48:10 GMT", "version": "v1" }, { "created": "Thu, 13 Jan 2005 17:07:59 GMT", "version": "v2" } ]

2009-11-10

[ [ "Paturyan", "Vanush", "" ], [ "Radu", "Eugen", "" ], [ "Tchrakian", "D. H.", "" ] ]

We construct new axially symmetric rotating solutions of Einstein-Yang-Mills-Higgs theory. These globally regular configurations possess a nonvanishing electric charge which equals the total angular momentum, and zero topological charge, representing a monopole-antimonopole system rotating around the symmetry axis through their common center of mass.

9.859197

9.400745

8.60112

8.324215

8.331903

8.447639

8.447807

8.093451

8.282462

9.155665

8.273756

9.030709

9.41502

9.166139

8.871627

8.96238

9.425079

9.183929

8.933334

9.891485

9.147545

1811.11528

Sagar F. Lokhande

William Cottrell, Ben Freivogel, Diego M. Hofman, Sagar F. Lokhande

How to Build the Thermofield Double State

are welcome. 47 pages, 8 figures. v2: Improved discussion of uniqueness and CFT primaries

null

10.1007/JHEP02(2019)058

null

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

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

Given two copies of any quantum mechanical system, one may want to prepare them in the thermofield double state for the purpose of studying thermal physics or black holes. However, the thermofield double is a unique entangled pure state and may be difficult to prepare. We propose a local interacting Hamiltonian for the combined system whose ground state is approximately the thermofield double. The energy gap for this Hamiltonian is of order the temperature. Our construction works for any quantum system satisfying the Eigenvalue Thermalization Hypothesis.

[ { "created": "Wed, 28 Nov 2018 13:00:33 GMT", "version": "v1" }, { "created": "Fri, 14 Dec 2018 13:34:02 GMT", "version": "v2" } ]

2019-02-20

[ [ "Cottrell", "William", "" ], [ "Freivogel", "Ben", "" ], [ "Hofman", "Diego M.", "" ], [ "Lokhande", "Sagar F.", "" ] ]

Given two copies of any quantum mechanical system, one may want to prepare them in the thermofield double state for the purpose of studying thermal physics or black holes. However, the thermofield double is a unique entangled pure state and may be difficult to prepare. We propose a local interacting Hamiltonian for the combined system whose ground state is approximately the thermofield double. The energy gap for this Hamiltonian is of order the temperature. Our construction works for any quantum system satisfying the Eigenvalue Thermalization Hypothesis.

7.134351

7.285102

7.346969

6.861093

7.096715

6.763031

7.077604

7.334533

6.867329

7.354159

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6.57381

6.787278

6.649116

6.475398

6.591337

6.613073

6.701684

6.424549

6.581354

6.34681

1908.01422

Alexander Migdal

Analytic and Numerical Study of Navier-Stokes Loop Equation in Turbulence

14 pages, 2 figures, one reference to Mathematica notebook on Wolfram Cloud

null

hep-th nlin.CD physics.flu-dyn

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

We developed analytic approach to the non-planar loop equation, which we derived in previous papers \cite{M19a},\cite{M19b},\cite{M19c}. We found quadratic integral equation for the vorticity distribution $\Omega(r)$ we introduced on a minimal surface. There are no corrections to the minimal surface though: it is still defined by mean external curvature equal to zero, for arbitrary non-planar loop. We also analyzed the loop equations with viscosity term in Navier-Stokes equations. This term creates boundary condition for $\Omega(r\in C)$. The leading viscosity correction term mixes the moments $\left< \Gamma^p \right>$ with $\left< \Gamma^{p-1} \right>$ resembling the bi-fractal behavior observed in \cite{S19} and explicitly breaking the time reversal symmetry. We also develop numerical approach to the loop equation with arbitrary curved loop and present \Mathematica notebook building triangulated minimal surface and then numerically solving these equations. As a result we obtain predictions for future numerical experiments which will compute vorticity distribution along the loop.

[ { "created": "Sun, 4 Aug 2019 23:17:55 GMT", "version": "v1" } ]

2019-08-06

[ [ "Migdal", "Alexander", "" ] ]

We developed analytic approach to the non-planar loop equation, which we derived in previous papers \cite{M19a},\cite{M19b},\cite{M19c}. We found quadratic integral equation for the vorticity distribution $\Omega(r)$ we introduced on a minimal surface. There are no corrections to the minimal surface though: it is still defined by mean external curvature equal to zero, for arbitrary non-planar loop. We also analyzed the loop equations with viscosity term in Navier-Stokes equations. This term creates boundary condition for $\Omega(r\in C)$. The leading viscosity correction term mixes the moments $\left< \Gamma^p \right>$ with $\left< \Gamma^{p-1} \right>$ resembling the bi-fractal behavior observed in \cite{S19} and explicitly breaking the time reversal symmetry. We also develop numerical approach to the loop equation with arbitrary curved loop and present \Mathematica notebook building triangulated minimal surface and then numerically solving these equations. As a result we obtain predictions for future numerical experiments which will compute vorticity distribution along the loop.

17.202051

19.410856

18.452477

18.143408

18.946644

19.369614

19.337627

18.650307

17.824341

22.431271

18.210026

18.426819

17.262659

17.463362

17.136522

17.939566

17.753195

17.61603

17.775709

17.512869

17.070219

1403.0585

Stefano Cremonesi

Stefano Cremonesi, Amihay Hanany, Noppadol Mekareeya, Alberto Zaffaroni

Coulomb branch Hilbert series and Hall-Littlewood polynomials

v1: 40 pages + appendices, 3 figures; v2: minor revision, version to appear in JHEP

null

10.1007/JHEP09(2014)178

CERN-PH-TH/2013-278, IMPERIAL-TP-14-SC-01

hep-th

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

There has been a recent progress in understanding the chiral ring of 3d $\mathcal{N}=4$ superconformal gauge theories by explicitly constructing an exact generating function (Hilbert series) counting BPS operators on the Coulomb branch. In this paper we introduce Coulomb branch Hilbert series in the presence of background magnetic charges for flavor symmetries, which are useful for computing the Hilbert series of more general theories through gluing techniques. We find a simple formula of the Hilbert series with background magnetic charges for $T_\rho(G)$ theories in terms of Hall-Littlewood polynomials. Here $G$ is a classical group and $\rho$ is a certain partition related to the dual group of $G$. The Hilbert series for vanishing background magnetic charges show that Coulomb branches of $T_\rho(G)$ theories are complete intersections. We also demonstrate that mirror symmetry maps background magnetic charges to baryonic charges.

[ { "created": "Mon, 3 Mar 2014 21:00:30 GMT", "version": "v1" }, { "created": "Tue, 23 Sep 2014 16:12:49 GMT", "version": "v2" } ]

2015-06-19

[ [ "Cremonesi", "Stefano", "" ], [ "Hanany", "Amihay", "" ], [ "Mekareeya", "Noppadol", "" ], [ "Zaffaroni", "Alberto", "" ] ]

There has been a recent progress in understanding the chiral ring of 3d $\mathcal{N}=4$ superconformal gauge theories by explicitly constructing an exact generating function (Hilbert series) counting BPS operators on the Coulomb branch. In this paper we introduce Coulomb branch Hilbert series in the presence of background magnetic charges for flavor symmetries, which are useful for computing the Hilbert series of more general theories through gluing techniques. We find a simple formula of the Hilbert series with background magnetic charges for $T_\rho(G)$ theories in terms of Hall-Littlewood polynomials. Here $G$ is a classical group and $\rho$ is a certain partition related to the dual group of $G$. The Hilbert series for vanishing background magnetic charges show that Coulomb branches of $T_\rho(G)$ theories are complete intersections. We also demonstrate that mirror symmetry maps background magnetic charges to baryonic charges.

5.72384

5.228929

6.350533

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5.722396

5.504497

5.371047

5.218267

5.327904

6.873999

5.246505

5.352676

5.77716

5.369174

5.414583

5.355346

5.428874

5.289125

5.318684

5.615728

5.287745

2108.00068

Shaun Hampton

Bin Guo and Shaun Hampton

The Dual of a Tidal Force in the D1D5 CFT

21 pages, 4 figures

null

10.1007/JHEP07(2023)149

null

hep-th

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

It was demonstrated that a string probe falling radially within a superstratum geometry would experience tidal forces. These tidal forces were shown to excite the string by converting its kinetic energy into stringy excitations. Using the AdS/CFT correspondence we seek to understand this behavior from the perspective of the dual D1D5 CFT. To study this process we turn on an interaction of the theory which is described by a deformation operator. We start with an initial state which is dual to a graviton probe moving within the superstratum geometry. We then use two deformation operators to compute transition amplitudes between this state and a final state that corresponds to stringy excitations. We show that this amplitude grows as $t^2$ with $t$ being the amount of time for which the deformation operators are turned on. We argue that this process in the CFT is suggestive of the tidal effects experienced by the probe propagating within the dual superstratum geometry.

[ { "created": "Fri, 30 Jul 2021 20:24:33 GMT", "version": "v1" }, { "created": "Mon, 8 Nov 2021 16:49:42 GMT", "version": "v2" } ]

2023-08-02

[ [ "Guo", "Bin", "" ], [ "Hampton", "Shaun", "" ] ]

It was demonstrated that a string probe falling radially within a superstratum geometry would experience tidal forces. These tidal forces were shown to excite the string by converting its kinetic energy into stringy excitations. Using the AdS/CFT correspondence we seek to understand this behavior from the perspective of the dual D1D5 CFT. To study this process we turn on an interaction of the theory which is described by a deformation operator. We start with an initial state which is dual to a graviton probe moving within the superstratum geometry. We then use two deformation operators to compute transition amplitudes between this state and a final state that corresponds to stringy excitations. We show that this amplitude grows as $t^2$ with $t$ being the amount of time for which the deformation operators are turned on. We argue that this process in the CFT is suggestive of the tidal effects experienced by the probe propagating within the dual superstratum geometry.

7.986494

7.154343

8.366117

7.062241

7.39928

7.463716

7.342683

7.494055

7.353739

8.85439

7.40215

7.332822

8.010186

7.40119

7.515448

7.188838

7.624365

7.425305

7.492131

7.882131

7.355945

2008.01384

Yuqi Lei

Yu-Qi Lei, Xian-Hui Ge and Cheng Ran

Chaos of Particle Motion near the Black Hole with Quasi-topological Electromagnetism

32 pages, 13 figures, 3 tables

Phys. Rev. D 104, 046020 (2021)

10.1103/PhysRevD.104.046020

null

hep-th gr-qc

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

We explore the chaotic behavior of particle motion in a black hole with quasi-topological electromagnetism. The chaos bound is found to be violated in the higher order expansion of the metric function and the electric potential near the horizon. We draw the Poincare sections of particle motion corresponding to the chaos bound violated and non-violated cases, respectively. Then we study the relationship between the maximal Lyapunov exponent \lambda_s defined by the static equilibrium and the Lyapunov exponent of the particle geodesic motion near the Reissner-Nordstrom(RN) black hole and the black hole with quasi-topological electromagnetism. We find an interesting relationship between the Lyapunov exponent \lambda_{ph} of photon's radial falling into the black hole and the maximal Lyapunov exponent \lambda_s. For the black holes whose metric function increases monotonically with radius outside horizon, this leads to \lambda_{ph} \geq 2\lambda_s.

[ { "created": "Tue, 4 Aug 2020 07:46:49 GMT", "version": "v1" }, { "created": "Mon, 10 Aug 2020 08:42:48 GMT", "version": "v2" }, { "created": "Wed, 1 Sep 2021 15:26:34 GMT", "version": "v3" } ]

2021-09-02

[ [ "Lei", "Yu-Qi", "" ], [ "Ge", "Xian-Hui", "" ], [ "Ran", "Cheng", "" ] ]

We explore the chaotic behavior of particle motion in a black hole with quasi-topological electromagnetism. The chaos bound is found to be violated in the higher order expansion of the metric function and the electric potential near the horizon. We draw the Poincare sections of particle motion corresponding to the chaos bound violated and non-violated cases, respectively. Then we study the relationship between the maximal Lyapunov exponent \lambda_s defined by the static equilibrium and the Lyapunov exponent of the particle geodesic motion near the Reissner-Nordstrom(RN) black hole and the black hole with quasi-topological electromagnetism. We find an interesting relationship between the Lyapunov exponent \lambda_{ph} of photon's radial falling into the black hole and the maximal Lyapunov exponent \lambda_s. For the black holes whose metric function increases monotonically with radius outside horizon, this leads to \lambda_{ph} \geq 2\lambda_s.

7.179496

6.941806

6.649159

6.524984

6.547202

6.720236

7.068584

6.517232

6.725708

7.214781

6.803939

6.548545

6.97568

6.645389

6.727841

6.385171

6.69197

6.472095

6.871132

6.902778

6.79622

1707.08584

Cristhiam Lopez-Arcos

Humberto Gomez, Cristhiam Lopez-Arcos, Pedro Talavera

One-loop Parke-Taylor factors for quadratic propagators from massless scattering equations

43 pages, new appendix added, few typos corrected. Accepted for publication in JHEP

null

10.1007/JHEP10(2017)175

null

hep-th

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

In this paper we reconsider the Cachazo-He-Yuan construction (CHY) of the so called scattering amplitudes at one-loop, in order to obtain quadratic propagators. In theories with colour ordering the key ingredient is the redefinition of the Parke-Taylor factors. After classifying all the possible one-loop CHY-integrands we conjecture a new one-loop amplitude for the massless Bi-adjoint $\Phi^3$ theory. The prescription directly reproduces the quadratic propagators from of the traditional Feynman approach.

[ { "created": "Wed, 26 Jul 2017 18:00:37 GMT", "version": "v1" }, { "created": "Thu, 10 Aug 2017 13:40:57 GMT", "version": "v2" }, { "created": "Fri, 3 Nov 2017 15:22:23 GMT", "version": "v3" } ]

2017-12-06

[ [ "Gomez", "Humberto", "" ], [ "Lopez-Arcos", "Cristhiam", "" ], [ "Talavera", "Pedro", "" ] ]

In this paper we reconsider the Cachazo-He-Yuan construction (CHY) of the so called scattering amplitudes at one-loop, in order to obtain quadratic propagators. In theories with colour ordering the key ingredient is the redefinition of the Parke-Taylor factors. After classifying all the possible one-loop CHY-integrands we conjecture a new one-loop amplitude for the massless Bi-adjoint $\Phi^3$ theory. The prescription directly reproduces the quadratic propagators from of the traditional Feynman approach.

11.711338

11.047544

13.919445

10.250176

10.888887

10.652953

10.701585

11.271681

11.068363

14.560575

10.985583

9.909364

10.735074

9.899058

10.259048

10.428755

10.107486

9.885071

9.841045

11.379983

10.007236

hep-th/9607122

Ayrton Zadra

L.O. Buffon, D. Dalmazi and A. Zadra

Classical and quantum N=1 super $W_\infty$-algebras

10 pages, latex, no figures

Mod.Phys.Lett. A11 (1996) 2339-2350

10.1142/S0217732396002332

null

hep-th

null

We construct higher-spin N=1 super algebras as extensions of the super Virasoro algebra containing generators for all spins $s\ge 3/2$. We find two distinct classical (Poisson) algebras on the phase super space. Our results indicate that only one of them can be consistently quantized.

[ { "created": "Mon, 15 Jul 1996 18:22:57 GMT", "version": "v1" } ]

2015-06-26

[ [ "Buffon", "L. O.", "" ], [ "Dalmazi", "D.", "" ], [ "Zadra", "A.", "" ] ]

We construct higher-spin N=1 super algebras as extensions of the super Virasoro algebra containing generators for all spins $s\ge 3/2$. We find two distinct classical (Poisson) algebras on the phase super space. Our results indicate that only one of them can be consistently quantized.

11.734844

9.750299

10.691955

9.869598

10.207016

10.139539

10.717572

9.470349

9.565239

12.508822

9.619071

10.535434

11.338996

10.23263

10.255192

10.82022

10.545518

10.268986

10.525664

11.13612

10.204315

1905.12636

Sridip Pal

Shouvik Ganguly, Sridip Pal

Bounds on the density of states and the spectral gap in CFT$_{2}$

v2: 26 pages, 10 figures, optimality of the lower bound included, new section on connection to sphere packing v3: approximates the published version, reference added

Phys. Rev. D 101, 106022, 2020

10.1103/PhysRevD.101.106022

null

hep-th math-ph math.MP

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

We improve the recently discovered upper and lower bounds on the $O(1)$ correction to the Cardy formula for the density of states integrated over an energy window (of width $2\delta$), centered at high energy in 2 dimensional conformal field theory. We prove optimality of the lower bound for $\delta\to 1^{-}$. We prove a conjectured upper bound on the asymptotic gap between two consecutive Virasoro primaries for a central charge greater than $1,$ demonstrating it to be $1.$ Furthermore, a systematic method is provided to establish a limit on how tight the bound on the $O(1)$ correction to the Cardy formula can be made using bandlimited functions. The techniques and the functions used here are of generic importance whenever the Tauberian theorems are used to estimate some physical quantities.

[ { "created": "Wed, 29 May 2019 18:00:01 GMT", "version": "v1" }, { "created": "Mon, 27 Jan 2020 16:53:25 GMT", "version": "v2" }, { "created": "Tue, 19 May 2020 20:04:14 GMT", "version": "v3" } ]

2020-05-27

[ [ "Ganguly", "Shouvik", "" ], [ "Pal", "Sridip", "" ] ]

We improve the recently discovered upper and lower bounds on the $O(1)$ correction to the Cardy formula for the density of states integrated over an energy window (of width $2\delta$), centered at high energy in 2 dimensional conformal field theory. We prove optimality of the lower bound for $\delta\to 1^{-}$. We prove a conjectured upper bound on the asymptotic gap between two consecutive Virasoro primaries for a central charge greater than $1,$ demonstrating it to be $1.$ Furthermore, a systematic method is provided to establish a limit on how tight the bound on the $O(1)$ correction to the Cardy formula can be made using bandlimited functions. The techniques and the functions used here are of generic importance whenever the Tauberian theorems are used to estimate some physical quantities.

13.466805

12.620725

13.253023

12.407348

13.334776

12.283925

13.234295

13.192884

13.10239

13.363256

12.597018

12.25316

13.021233

12.534939

12.220105

12.672469

12.562131

12.776146

12.670886

13.429719

12.333135

hep-th/9802161

Edward G. Timoshenko

N.A. Sveshnikov, E.G. Timoshenko

The partition function versus boundary conditions and confinement in the Yang-Mills theory

14 pages, RevTeX, submitted to Phys. Rev. D

Phys.Rev. D58 (1998) 085024

10.1103/PhysRevD.58.085024

null

hep-th cond-mat.stat-mech hep-ph

null

We analyse dependence of the partition function on the boundary condition for the longitudinal component of the electric field strength in gauge field theories. In a physical gauge the Gauss law constraint may be resolved explicitly expressing this component via an integral of the physical transversal variables. In particular, we study quantum electrodynamics with an external charge and SU(2) gluodynamics. We find that only a charge distribution slowly decreasing at spatial infinity can produce a nontrivial dependence in the Abelian theory. However, in gluodynamics for temperatures below some critical value the partition function acquires a delta-function like dependence on the boundary condition, which leads to colour confinement.

[ { "created": "Mon, 23 Feb 1998 19:57:18 GMT", "version": "v1" } ]

2009-10-31

[ [ "Sveshnikov", "N. A.", "" ], [ "Timoshenko", "E. G.", "" ] ]

We analyse dependence of the partition function on the boundary condition for the longitudinal component of the electric field strength in gauge field theories. In a physical gauge the Gauss law constraint may be resolved explicitly expressing this component via an integral of the physical transversal variables. In particular, we study quantum electrodynamics with an external charge and SU(2) gluodynamics. We find that only a charge distribution slowly decreasing at spatial infinity can produce a nontrivial dependence in the Abelian theory. However, in gluodynamics for temperatures below some critical value the partition function acquires a delta-function like dependence on the boundary condition, which leads to colour confinement.

13.471931

13.911641

12.963904

12.716954

14.196061

14.447371

14.347664

14.112529

12.253583

15.035352

13.205954

13.380688

13.600616

13.283261

13.174713

13.985669

13.29307

13.74909

13.239998

13.312671

13.031375

1705.04568

Ivan Kharuk

Coset space construction and inverse Higgs phenomenon for the conformal group

30 pages, 1 figure

null

INR-TH-2017-014

hep-th math.RT

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

It is shown that conformally invariant theories can be obtained within the framework of the coset space construction. The corresponding technique is applicable for the construction of representations of the unbroken conformal group, as well as of a spontaneously broken one. A special role of the "Nambu-Goldstone fields" for special conformal transformations is clarified - they ensure self-consistency of a theory by guaranteeing that discrete symmetries are indeed symmetries of the theory. A generalization of the developed construction to a special class of symmetry groups with a non-linear realization of its discrete elements is given. Based on these results, the usage of the inverse Higgs constraints for the conformal group undergoing spontaneous symmetry breaking is questioned.

[ { "created": "Fri, 12 May 2017 13:51:32 GMT", "version": "v1" }, { "created": "Tue, 1 Aug 2017 11:13:01 GMT", "version": "v2" } ]

2017-08-02

[ [ "Kharuk", "Ivan", "" ] ]

It is shown that conformally invariant theories can be obtained within the framework of the coset space construction. The corresponding technique is applicable for the construction of representations of the unbroken conformal group, as well as of a spontaneously broken one. A special role of the "Nambu-Goldstone fields" for special conformal transformations is clarified - they ensure self-consistency of a theory by guaranteeing that discrete symmetries are indeed symmetries of the theory. A generalization of the developed construction to a special class of symmetry groups with a non-linear realization of its discrete elements is given. Based on these results, the usage of the inverse Higgs constraints for the conformal group undergoing spontaneous symmetry breaking is questioned.

12.067225

10.95478

12.289553

11.332217

11.282147

11.713299

11.560274

10.530552

11.432853

12.204673

10.789194

11.108907

11.673826

11.424027

11.338346

11.600176

11.316644

11.354811

11.690036

11.736742

11.005861

hep-th/9203055

null

G.Bonacina, A.Gamba and M.Martellini

Interacting Euclidean 3D Quantum Gravity

19 pages

Phys.Rev.D45:3577-3583,1992

10.1103/PhysRevD.45.3577

null

hep-th

null

We show that Euclidean 3D-gravity coupled to a Gaussian scalar massive matter field in first-order dreibein formalism gives a quantum theory which has a finite perturbative expansion around a non-vanishing background. We also discuss a possible mechanism to generate a non-trivial background metric starting from Rovelli-Smolin's loop observables.

[ { "created": "Fri, 20 Mar 1992 13:17:00 GMT", "version": "v1" } ]

2014-11-18

[ [ "Bonacina", "G.", "" ], [ "Gamba", "A.", "" ], [ "Martellini", "M.", "" ] ]

We show that Euclidean 3D-gravity coupled to a Gaussian scalar massive matter field in first-order dreibein formalism gives a quantum theory which has a finite perturbative expansion around a non-vanishing background. We also discuss a possible mechanism to generate a non-trivial background metric starting from Rovelli-Smolin's loop observables.

13.979895

15.379517

13.367143

12.398796

14.188688

12.018769

13.990748

12.465719

12.993396

12.512616

13.798218

12.722883

12.389863

12.486519

12.727027

13.709176

12.546878

12.391228

12.810158

12.75724

12.025866

hep-th/9807230

Micha Berkooz

Micha Berkooz (Institute for Advanced Study, Princeton)

A Proposal on Some Microscopic Aspects of the AdS/CFT Duality

32 pages, harvmac

Nucl.Phys. B553 (1999) 205-230

10.1016/S0550-3213(99)00220-5

null

hep-th

null

We suggest a model of the large N limit ${\cal N}=4$ D=4 SU(N) SYM as a gas of 3-branes in a 10 dimensional space. Field theory analysis suggests that this 10 dimensional space does not carry the usual gravity dynamics but rather a contraction of it. Using a non-local transformation some aspects of the dynamics of this system are mapped to the dynamics of standard gravitons on $AdS_5\times S^5$. In particular some of the correspondence between operator in the CFT and states on $AdS$ is more transparent.

[ { "created": "Thu, 30 Jul 1998 20:07:59 GMT", "version": "v1" } ]

2009-10-31

[ [ "Berkooz", "Micha", "", "Institute for Advanced Study, Princeton" ] ]

We suggest a model of the large N limit ${\cal N}=4$ D=4 SU(N) SYM as a gas of 3-branes in a 10 dimensional space. Field theory analysis suggests that this 10 dimensional space does not carry the usual gravity dynamics but rather a contraction of it. Using a non-local transformation some aspects of the dynamics of this system are mapped to the dynamics of standard gravitons on $AdS_5\times S^5$. In particular some of the correspondence between operator in the CFT and states on $AdS$ is more transparent.

10.37663

10.258603

10.511781

9.820443

10.061241

9.803452

10.401657

9.845539

9.789512

11.575529

9.58928

10.066741

10.115161

9.866549

9.708647

10.22288

10.165048

9.781073

9.908334

10.208338

9.750924

0712.2821

Claudia de Rham

Claudia de Rham, Stefan Hofmann, Justin Khoury and Andrew J. Tolley

Cascading Gravity and Degravitation

31 pages, 1 figure

JCAP 0802:011,2008

10.1088/1475-7516/2008/02/011

null

hep-th

null

We construct a cascading brane model of gravity in which the behavior of the gravitational force law interpolates from (n+4)-dimensional to (n+3)-dimensional all the way down to 4-dimensional from longer to shorter length scales. We show that at the linearized level, this model exhibits the features necessary for degravitation of the cosmological constant. The model is shown to be ghost free with the addition of suitable brane kinetic operators, and we demonstrate this using a number of independent procedures. Consequently this is a consistent IR modification of gravity, providing a promising framework for a dynamical, degravitating solution of the cosmological constant problem.

[ { "created": "Mon, 17 Dec 2007 21:12:49 GMT", "version": "v1" } ]

2009-11-19

[ [ "de Rham", "Claudia", "" ], [ "Hofmann", "Stefan", "" ], [ "Khoury", "Justin", "" ], [ "Tolley", "Andrew J.", "" ] ]

We construct a cascading brane model of gravity in which the behavior of the gravitational force law interpolates from (n+4)-dimensional to (n+3)-dimensional all the way down to 4-dimensional from longer to shorter length scales. We show that at the linearized level, this model exhibits the features necessary for degravitation of the cosmological constant. The model is shown to be ghost free with the addition of suitable brane kinetic operators, and we demonstrate this using a number of independent procedures. Consequently this is a consistent IR modification of gravity, providing a promising framework for a dynamical, degravitating solution of the cosmological constant problem.

9.315245

9.040707

9.526425

9.018392

8.961118

9.085138

8.539874

8.692347

9.249969

9.819558

8.999764

8.906613

9.042591

8.886096

8.813251

9.046968

8.925579

8.987092

8.948745

9.06129

8.829393

1305.6690

Chanyong Park

Notes on the holographic Lifshitz theory

17 pages, major revision

null

10.1155/2014/917632

null

hep-th

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

On the Lifshitz black brane geometry of an Einstein-Maxwell-dilaton gravity, we holographically investigate electric DC conductivities and the role of impurity in a non-relativistic Lifshitz medium with two different charge carriers, impurity and Lifshitz matter. The conductivity carried by Lifshitz matter is proportional to the square of temperature, while that carried by impurity crucially depends on the bulk coupling parameter \g. For \g < -2, impurity at high temperature can change the electric property of the Lifshitz medium significantly so that the Lifshitz matter with impurity can show a totally different electric property from the pure Lifshitz matter.

[ { "created": "Wed, 29 May 2013 04:38:27 GMT", "version": "v1" }, { "created": "Thu, 28 Nov 2013 06:48:30 GMT", "version": "v2" } ]

2015-07-14

[ [ "Park", "Chanyong", "" ] ]

On the Lifshitz black brane geometry of an Einstein-Maxwell-dilaton gravity, we holographically investigate electric DC conductivities and the role of impurity in a non-relativistic Lifshitz medium with two different charge carriers, impurity and Lifshitz matter. The conductivity carried by Lifshitz matter is proportional to the square of temperature, while that carried by impurity crucially depends on the bulk coupling parameter \g. For \g < -2, impurity at high temperature can change the electric property of the Lifshitz medium significantly so that the Lifshitz matter with impurity can show a totally different electric property from the pure Lifshitz matter.

9.711994

9.793646

9.839774

9.127851

9.66258

9.89022

9.898809

9.444996

8.991321

10.213164

9.182997

8.704307

8.973691

8.720614

8.903248

8.581632

8.782255

8.667321

8.934664

9.378311

8.538378

2006.01163

Damiano Anselmi

Quantum field theories of arbitrary-spin massive multiplets and Palatini quantum gravity

34 pages; v2: references added, JHEP

J. High Energy Phys. 07 (2020) 176

10.1007/JHEP07(2020)176

null

hep-th gr-qc

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

We formulate quantum field theories of massive fields of arbitrary spins. The presence of both physical and fake particles, organized into multiplets, makes it possible to fulfill the requirements of locality, unitarity and renormalizability at the same time. The theories admit cubic and quartic self-interactions and can be coupled to quantum gravity and gauge fields. The simplest irreducible bosonic and fermionic multiplets are made of towers of alternating physical and fake particles. Their mass spectrum is constrained by RG invariant relations and depends on just one or two masses. The fixed points of the renormalization-group flow are scale invariant, but not necessarily conformal invariant. The Palatini version of quantum gravity with fakeons is equivalent to the non-Palatini one coupled to a peculiar multiplet of order 3. As a consequence, it is equally renormalizable and unitary.

[ { "created": "Mon, 1 Jun 2020 18:01:04 GMT", "version": "v1" }, { "created": "Sun, 26 Jul 2020 23:28:36 GMT", "version": "v2" } ]

2020-07-28

[ [ "Anselmi", "Damiano", "" ] ]

We formulate quantum field theories of massive fields of arbitrary spins. The presence of both physical and fake particles, organized into multiplets, makes it possible to fulfill the requirements of locality, unitarity and renormalizability at the same time. The theories admit cubic and quartic self-interactions and can be coupled to quantum gravity and gauge fields. The simplest irreducible bosonic and fermionic multiplets are made of towers of alternating physical and fake particles. Their mass spectrum is constrained by RG invariant relations and depends on just one or two masses. The fixed points of the renormalization-group flow are scale invariant, but not necessarily conformal invariant. The Palatini version of quantum gravity with fakeons is equivalent to the non-Palatini one coupled to a peculiar multiplet of order 3. As a consequence, it is equally renormalizable and unitary.

4.290033

9.147346

9.471057

8.931619

8.66303

9.059674

8.544926

8.248748

8.803681

10.102886

8.037102

6.471656

6.843001

6.980719

6.071327

6.468303

6.74656

6.238167

6.4136

7.607605

5.499118

hep-th/0312034

Luzi Bergamin

L. Bergamin and P. Minkowski

No Supersymmetry without Supergravity: Induced Supersymmetry Representations on Composite Effective Fields

15 pages, LaTeX

null

hep-th

null

Induced supersymmetry representations on composite operators are studied. In superspace the ensuing transformation rules (trivially) lead to an effective superfield. On the other hand, an induced representation must exist for non-linear (``on-shell'') supersymmetry as well. As this choice of the representation is physically irrelevant, any formulation of an effective action starting from the superspace representation must equally well be possible in a non-linear representation. We show that this leads to very relevant constraints on the formulation of effective actions in terms of composite operators. These ideas are applied to the simplest case of such a theory, N=1 SYM. It is shown that soft supersymmetry breaking within that theory forces one to include besides the Lagrangian multiplet S all currents of the super-conformal structure, embedded in a supergravity background, as relevant fields.

[ { "created": "Wed, 3 Dec 2003 12:59:42 GMT", "version": "v1" } ]

2007-05-23

[ [ "Bergamin", "L.", "" ], [ "Minkowski", "P.", "" ] ]

Induced supersymmetry representations on composite operators are studied. In superspace the ensuing transformation rules (trivially) lead to an effective superfield. On the other hand, an induced representation must exist for non-linear (``on-shell'') supersymmetry as well. As this choice of the representation is physically irrelevant, any formulation of an effective action starting from the superspace representation must equally well be possible in a non-linear representation. We show that this leads to very relevant constraints on the formulation of effective actions in terms of composite operators. These ideas are applied to the simplest case of such a theory, N=1 SYM. It is shown that soft supersymmetry breaking within that theory forces one to include besides the Lagrangian multiplet S all currents of the super-conformal structure, embedded in a supergravity background, as relevant fields.

16.632359

17.325939

17.092405

16.16217

17.104294

17.256952

16.772839

16.270592

15.962922

18.926079

16.497677

14.627636

15.279043

14.756077

15.323258

14.523156

15.294679

14.653962

14.983327

15.586729

15.526644

hep-th/0302105

Fernando Marchesano

D. Cremades, L.E. Ibanez and F. Marchesano

Yukawa couplings in intersecting D-brane models

47 pages, using JHEP3.cls, 11 figures. Typos and other minor corrections. References added

JHEP 0307 (2003) 038

10.1088/1126-6708/2003/07/038

FTUAM-03/2 IFT-UAM/CSIC-03-06

hep-th hep-ph

null

We compute the Yukawa couplings among chiral fields in toroidal Type II compactifications with wrapping D6-branes intersecting at angles. Those models can yield realistic standard model spectrum living at the intersections. The Yukawa couplings depend both on the Kahler and open string moduli but not on the complex structure. They arise from worldsheet instanton corrections and are found to be given by products of complex Jacobi theta functions with characteristics. The Yukawa couplings for a particular intersecting brane configuration yielding the chiral spectrum of the MSSM are computed as an example. We also show how our methods can be extended to compute Yukawa couplings on certain classes of elliptically fibered CY manifolds which are mirror to complex cones over del Pezzo surfaces. We find that the Yukawa couplings in intersecting D6-brane models have a mathematical interpretation in the context of homological mirror symmetry. In particular, the computation of such Yukawa couplings is related to the construction of Fukaya's category in a generic symplectic manifold.

[ { "created": "Fri, 14 Feb 2003 18:06:40 GMT", "version": "v1" }, { "created": "Wed, 12 Mar 2003 19:25:20 GMT", "version": "v2" } ]

2009-11-10

[ [ "Cremades", "D.", "" ], [ "Ibanez", "L. E.", "" ], [ "Marchesano", "F.", "" ] ]

We compute the Yukawa couplings among chiral fields in toroidal Type II compactifications with wrapping D6-branes intersecting at angles. Those models can yield realistic standard model spectrum living at the intersections. The Yukawa couplings depend both on the Kahler and open string moduli but not on the complex structure. They arise from worldsheet instanton corrections and are found to be given by products of complex Jacobi theta functions with characteristics. The Yukawa couplings for a particular intersecting brane configuration yielding the chiral spectrum of the MSSM are computed as an example. We also show how our methods can be extended to compute Yukawa couplings on certain classes of elliptically fibered CY manifolds which are mirror to complex cones over del Pezzo surfaces. We find that the Yukawa couplings in intersecting D6-brane models have a mathematical interpretation in the context of homological mirror symmetry. In particular, the computation of such Yukawa couplings is related to the construction of Fukaya's category in a generic symplectic manifold.

7.116777

7.095731

8.381156

6.710959

7.30008

7.351011

7.377235

7.072447

6.917243

8.457238

6.732717

6.982964

7.653361

7.075269

7.061774

6.745704

6.924057

6.858556

6.980354

7.517729

6.983457

1308.1238

Shoichi Ichinose

Velocity-Field Theory, Boltzmann's Transport Equation and Geometry

6 pages, 2 figures, Presentation at APPC12(Makuhari,Chiba,Japan,2013.7.14-19),JPS Conference Proceedings (in press)

null

hep-th cond-mat.stat-mech

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

Boltzmann equation describes the time development of the velocity distribution in the continuum fluid matter. We formulate the equation using the field theory where the {\it velocity-field} plays the central role. The matter (constituent particles) fields appear as the density and the viscosity. {\it Fluctuation} is examined, and is clearly discriminated from the quantum effect. The time variable is {\it emergently} introduced through the computational process step. The collision term, for the (velocity)**4 potential (4-body interaction), is explicitly obtained and the (statistical) fluctuation is closely explained. The present field theory model does {\it not} conserve energy and is an open-system model. (One dimensional) Navier-Stokes equation or Burger's equation, appears. In the latter part, we present a way to directly define the distribution function by use of the geometry, appearing in the mechanical dynamics, and Feynman's path-integral.

[ { "created": "Tue, 6 Aug 2013 11:11:54 GMT", "version": "v1" }, { "created": "Wed, 9 Oct 2013 03:01:41 GMT", "version": "v2" } ]

2013-10-10

[ [ "Ichinose", "Shoichi", "" ] ]

Boltzmann equation describes the time development of the velocity distribution in the continuum fluid matter. We formulate the equation using the field theory where the {\it velocity-field} plays the central role. The matter (constituent particles) fields appear as the density and the viscosity. {\it Fluctuation} is examined, and is clearly discriminated from the quantum effect. The time variable is {\it emergently} introduced through the computational process step. The collision term, for the (velocity)**4 potential (4-body interaction), is explicitly obtained and the (statistical) fluctuation is closely explained. The present field theory model does {\it not} conserve energy and is an open-system model. (One dimensional) Navier-Stokes equation or Burger's equation, appears. In the latter part, we present a way to directly define the distribution function by use of the geometry, appearing in the mechanical dynamics, and Feynman's path-integral.

22.802935

26.468895

22.740986

23.382318

25.086889

25.19095

25.844666

24.348148

24.452396

25.491039

23.368193

22.886644

22.78253

22.081099

22.201252

22.134098

22.481068

22.009226

22.871857

22.309341

22.463007

2306.05964

Marco Alberto Javarone

Low-temperature Holographic Screens Correspond to Einstein-Rosen Bridges

17 pages, 5 figures

null

hep-th

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

Recent conjectures on the complexity of black holes suggest that their evolution manifests in the structural properties of Einstein-Rosen bridges, like the length and volume. The complexity of black holes relates to the computational complexity of their dual, namely holographic, quantum systems identified via the Gauge/Gravity duality framework. Interestingly, the latter allows us to study the evolution of a black hole as the transformation of a qubit collection performed through a quantum circuit. In this work, we focus on the complexity of Einstein-Rosen bridges. More in detail, we start with a preliminary discussion about their computational properties, and then we aim to assess whether an Ising-like model could represent their holographic dual. In this regard, we recall that the Ising model captures essential aspects of complex phenomena such as phase transitions and, in general, is deeply related to information processing systems. To perform this assessment, which relies on a heuristic model, we attempt to describe the dynamics of information relating to an Einstein-Rosen bridge encoded in a holographic screen in terms of dynamics occurring in a spin lattice at low temperatures. We conclude by discussing our observations and related implications.

[ { "created": "Fri, 9 Jun 2023 15:33:20 GMT", "version": "v1" } ]

2023-06-12

[ [ "Javarone", "Marco Alberto", "" ] ]

Recent conjectures on the complexity of black holes suggest that their evolution manifests in the structural properties of Einstein-Rosen bridges, like the length and volume. The complexity of black holes relates to the computational complexity of their dual, namely holographic, quantum systems identified via the Gauge/Gravity duality framework. Interestingly, the latter allows us to study the evolution of a black hole as the transformation of a qubit collection performed through a quantum circuit. In this work, we focus on the complexity of Einstein-Rosen bridges. More in detail, we start with a preliminary discussion about their computational properties, and then we aim to assess whether an Ising-like model could represent their holographic dual. In this regard, we recall that the Ising model captures essential aspects of complex phenomena such as phase transitions and, in general, is deeply related to information processing systems. To perform this assessment, which relies on a heuristic model, we attempt to describe the dynamics of information relating to an Einstein-Rosen bridge encoded in a holographic screen in terms of dynamics occurring in a spin lattice at low temperatures. We conclude by discussing our observations and related implications.

12.889508

14.033339

13.779912

13.141429

13.693418

14.058928

13.39706

13.539242

12.88942

13.290813

13.171607

12.431883

12.681681

12.541189

12.621989

12.712665

12.967904

12.503816

12.533792

12.414433

12.727711

1201.4020

Vladimir Rochev

V. E. Rochev

Asymptotic behavior in a model with Yukawa interaction from Schwinger-Dyson equations

15 pages; journal version

J.Phys.A:Math.Theor.45(2012)205401

10.1088/1751-8113/45/20/205401

null

hep-th hep-ph

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

A system of Schwinger-Dyson equations for pseudoscalar four-dimensional Yukawa model in the two-particle approximation is investigated. The simplest iterative solution of the system corresponds to the mean-field approximation (or, equivalently, to the leading order of 1/N-expansion) and includes a non-physical Landau pole in deep-Euclidean region for the pseudoscalar propagator $\Delta$. It is argued, however, that a full solution may be free from non-physical singularities and has the self-consistent asymptotic behavior $p^2_e\Delta\simeq C\,\log^{-4/5}\frac{p^2_e}{M^2}$. An approximate solution confirms the positivity of $C$ and the absence of Landau pole.

[ { "created": "Thu, 19 Jan 2012 11:00:19 GMT", "version": "v1" }, { "created": "Sun, 6 May 2012 09:39:14 GMT", "version": "v2" } ]

2015-06-03

[ [ "Rochev", "V. E.", "" ] ]

A system of Schwinger-Dyson equations for pseudoscalar four-dimensional Yukawa model in the two-particle approximation is investigated. The simplest iterative solution of the system corresponds to the mean-field approximation (or, equivalently, to the leading order of 1/N-expansion) and includes a non-physical Landau pole in deep-Euclidean region for the pseudoscalar propagator $\Delta$. It is argued, however, that a full solution may be free from non-physical singularities and has the self-consistent asymptotic behavior $p^2_e\Delta\simeq C\,\log^{-4/5}\frac{p^2_e}{M^2}$. An approximate solution confirms the positivity of $C$ and the absence of Landau pole.

9.763596

9.087526

10.101716

9.501952

10.888164

9.751113

9.646244

9.550591

9.243573

10.368903

8.804273

9.113785

9.296662

8.893835

8.960629

9.108863

8.926264

8.851769

8.946404

9.372453

8.735752

hep-th/0605256

Jihn E. Kim

Ian-Woo Kim and Jihn E. Kim

Modification of Decay Constants of Superstring Axions: Effects of Flux Compactification and Axion Mixing

6 pages with 3 figures, revtex; figure added,section of axion mixing modified

Phys.Lett. B639 (2006) 342-347

10.1016/j.physletb.2006.06.033

null

hep-th astro-ph hep-ph

null

We study possibilities for lowering the decay constants of superstring axions. In the heterotic Calabi-Yau compactification, a localized model-dependent axion can appear at a nearly collapsing 2-cycle. The effect of flux can be used for generating warp factor suppression of the axion decay constant. We also point out that the hidden sector instanton potential much higher than the QCD instanton potential picks up the larger effective axion decay constant as that of the QCD axion. We show that this can be converted by introducing many hidden-sector quarks so that the decay constant of the QCD axion turns out to be much smaller than the string scale.

[ { "created": "Thu, 25 May 2006 19:57:08 GMT", "version": "v1" }, { "created": "Mon, 29 May 2006 07:41:38 GMT", "version": "v2" }, { "created": "Fri, 23 Jun 2006 00:59:15 GMT", "version": "v3" } ]

2009-11-11

[ [ "Kim", "Ian-Woo", "" ], [ "Kim", "Jihn E.", "" ] ]

We study possibilities for lowering the decay constants of superstring axions. In the heterotic Calabi-Yau compactification, a localized model-dependent axion can appear at a nearly collapsing 2-cycle. The effect of flux can be used for generating warp factor suppression of the axion decay constant. We also point out that the hidden sector instanton potential much higher than the QCD instanton potential picks up the larger effective axion decay constant as that of the QCD axion. We show that this can be converted by introducing many hidden-sector quarks so that the decay constant of the QCD axion turns out to be much smaller than the string scale.

13.365576

13.914863

13.145213

12.659768

13.736959

13.507151

13.408471

13.881319

13.211269

15.171718

13.174891

12.714359

12.411364

12.438555

12.540956

12.649413

12.654315

12.936674

12.758275

13.065967

12.307724

2210.02473

Maciej Kolanowski

Gary T. Horowitz, Maciej Kolanowski and Jorge E. Santos

Almost all extremal black holes in AdS are singular

41 pages, 7 figures, v3: accepted for publication in JHEP

null

10.1007/JHEP01(2023)162

null

hep-th gr-qc

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

We investigate the geometry near the horizon of a generic, four-dimensional extremal black hole. When the cosmological constant is negative, we show that (in almost all cases) tidal forces diverge as one crosses the horizon, and this singularity is stronger for larger black holes. In particular, this applies to generic nonspherical black holes, such as those satisfying inhomogeneous boundary conditions. Nevertheless, all scalar curvature invariants remain finite. Moreover, we show that nonextremal black holes have tidal forces that diverge in the extremal limit. Holographically, this singularity is reflected in anomalous scaling of the specific heat with temperature. Similar (albeit weaker) effects are present when the cosmological constant is positive, but not when it vanishes.

[ { "created": "Wed, 5 Oct 2022 18:00:07 GMT", "version": "v1" }, { "created": "Fri, 21 Oct 2022 07:43:32 GMT", "version": "v2" }, { "created": "Wed, 28 Dec 2022 17:00:02 GMT", "version": "v3" } ]

2023-02-15

[ [ "Horowitz", "Gary T.", "" ], [ "Kolanowski", "Maciej", "" ], [ "Santos", "Jorge E.", "" ] ]

We investigate the geometry near the horizon of a generic, four-dimensional extremal black hole. When the cosmological constant is negative, we show that (in almost all cases) tidal forces diverge as one crosses the horizon, and this singularity is stronger for larger black holes. In particular, this applies to generic nonspherical black holes, such as those satisfying inhomogeneous boundary conditions. Nevertheless, all scalar curvature invariants remain finite. Moreover, we show that nonextremal black holes have tidal forces that diverge in the extremal limit. Holographically, this singularity is reflected in anomalous scaling of the specific heat with temperature. Similar (albeit weaker) effects are present when the cosmological constant is positive, but not when it vanishes.

7.605276

7.991633

7.922071

7.225736

7.481197

7.54385

7.556028

6.953037

7.16177

7.2335

7.23307

7.461529

7.580565

7.310268

7.618464

7.40677

7.430765

7.25064

7.5955

7.389347

7.436112

1312.7273

Andre Franca

Gia Dvali, Sarah Folkerts, Andre Franca

On How Neutrino Protects the Axion

9 pages

Phys. Rev. D 89, 105025 (2014)

10.1103/PhysRevD.89.105025

null

hep-th gr-qc hep-ph

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

We show how the neutrino can sacrifice itself to quantum gravity and save the axion solution to the strong-CP problem. This mechanism puts an upper bound on the lightest neutrino mass.

[ { "created": "Fri, 27 Dec 2013 14:43:37 GMT", "version": "v1" } ]

2014-05-28

[ [ "Dvali", "Gia", "" ], [ "Folkerts", "Sarah", "" ], [ "Franca", "Andre", "" ] ]

We show how the neutrino can sacrifice itself to quantum gravity and save the axion solution to the strong-CP problem. This mechanism puts an upper bound on the lightest neutrino mass.

15.62986

15.802321

13.673764

12.349539

13.348515

15.626884

12.015882

12.979225

13.786668

13.773506

12.919589

14.995842

13.906902

13.56239

14.78274

14.014505

14.584847

14.473639

13.108578

13.22892

14.81384

hep-th/9706087

Michael Spalinski

Ansar Fayyazuddin and Michael Spalinski

The Seiberg-Witten Differential From M-Theory

14 pages, Latex. References added, typos corrected

Nucl.Phys. B508 (1997) 219-228

10.1016/S0550-3213(97)00613-5

HUTP-97/A027

hep-th

null

The form of the Seiberg-Witten differential is derived from the M-theory approach to N=2 supersymmetric Yang-Mills theories by directly imposing the BPS condition for twobranes ending on fivebranes. The BPS condition also implies that the pullback of the Kahler form onto the space part of the twobrane world-volume vanishes.

[ { "created": "Thu, 12 Jun 1997 23:30:06 GMT", "version": "v1" }, { "created": "Thu, 3 Jul 1997 14:56:24 GMT", "version": "v2" } ]

2009-10-30

[ [ "Fayyazuddin", "Ansar", "" ], [ "Spalinski", "Michael", "" ] ]

The form of the Seiberg-Witten differential is derived from the M-theory approach to N=2 supersymmetric Yang-Mills theories by directly imposing the BPS condition for twobranes ending on fivebranes. The BPS condition also implies that the pullback of the Kahler form onto the space part of the twobrane world-volume vanishes.

8.724512

6.707316

9.840187

6.988891

7.769103

6.596621

7.063068

6.230061

7.169971

11.19341

7.162679

7.771691

8.322798

7.738818

7.560657

7.55532

7.181813

8.024765

7.872097

8.257388

7.366753

2110.13275

Fernando Quevedo

C.P. Burgess and F. Quevedo

Who's Afraid of the Supersymmetric Dark? The Standard Model vs Low-Energy Supergravity

28 pages

null

10.1002/prop.202200077

null

hep-th

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

Use of supergravity equations in astronomy and late-universe cosmology is often criticized on three grounds: (i) phenomenological success usually depends on the supergravity form for the scalar potential applying at the relevant energies; (ii) the low-energy scalar potential is extremely sensitive to quantum effects involving very massive particles and so is rarely well-approximated by classical calculations of its form; and (iii) almost all Standard Model particles count as massive for these purposes and none of these are supersymmetric. Why should Standard Model loops preserve the low-energy supergravity form even if supersymmetry is valid at energies well above the electroweak scale? We use recently developed tools for coupling supergravity to non-supersymmetric matter to estimate the loop effects of heavy non-supersymmetric particles on the low-energy effective action, and provide evidence that the supergravity form is stable against integrating out such particles (and so argues against the above objection). This suggests an intrinsically supersymmetric picture of Nature where supersymmetry survives to low energies within the gravity sector but not the visible sector (for which supersymmetry is instead non-linearly realized). We explore the couplings of both sectors in this picture and find that the presence of auxiliary fields in the gravity sector makes the visible sector share many features usually attributed to linearly realized supersymmetry although (unlike for the MSSM) a second Higgs doublet is not required for all Yukawa couplings to be non-vanishing and changes the dimension of the operator generating the Higgs mass. We discuss the naturalness of this picture and some of the implications it might have when searching for dark-sector physics.

[ { "created": "Mon, 25 Oct 2021 21:28:56 GMT", "version": "v1" } ]

2022-09-07

[ [ "Burgess", "C. P.", "" ], [ "Quevedo", "F.", "" ] ]

Use of supergravity equations in astronomy and late-universe cosmology is often criticized on three grounds: (i) phenomenological success usually depends on the supergravity form for the scalar potential applying at the relevant energies; (ii) the low-energy scalar potential is extremely sensitive to quantum effects involving very massive particles and so is rarely well-approximated by classical calculations of its form; and (iii) almost all Standard Model particles count as massive for these purposes and none of these are supersymmetric. Why should Standard Model loops preserve the low-energy supergravity form even if supersymmetry is valid at energies well above the electroweak scale? We use recently developed tools for coupling supergravity to non-supersymmetric matter to estimate the loop effects of heavy non-supersymmetric particles on the low-energy effective action, and provide evidence that the supergravity form is stable against integrating out such particles (and so argues against the above objection). This suggests an intrinsically supersymmetric picture of Nature where supersymmetry survives to low energies within the gravity sector but not the visible sector (for which supersymmetry is instead non-linearly realized). We explore the couplings of both sectors in this picture and find that the presence of auxiliary fields in the gravity sector makes the visible sector share many features usually attributed to linearly realized supersymmetry although (unlike for the MSSM) a second Higgs doublet is not required for all Yukawa couplings to be non-vanishing and changes the dimension of the operator generating the Higgs mass. We discuss the naturalness of this picture and some of the implications it might have when searching for dark-sector physics.

11.946182

13.216263

12.800803

11.577933

13.796491

13.07516

12.855019

12.96863

12.14283

13.887933

12.331767

11.63524

11.655457

11.532304

11.762533

11.874137

11.839304

11.923663

11.651079

11.986698

11.836537

1912.07143

Brad Cownden

Examining Instabilities Due to Driven Scalars in AdS

v1: 29 pages, 6 figures v2: Added reference and small changes to Discussion. 30 pages, 6 figures v3: To appear in JHEP. Added holographic interpretation, review of resummation procedure, and moved discussion of all-normalizable resonances to appendix. 34 pages, 6 figures

null

10.1007/JHEP12(2020)013

null

hep-th gr-qc

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

We extend the study of the non-linear perturbative theory of weakly turbulent energy cascades in AdS$_{d+1}$ to include solutions of driven systems, i.e. those with time-dependent sources on the AdS boundary. This necessitates the activation of non-normalizable modes in the linear solution for the massive bulk scalar field, which couple to the metric and normalizable scalar modes. We determine analytic expressions for secular terms in the renormalization flow equations for any mass, and for various driving functions. Finally, we numerically evaluate these sources for $d = 4$ and discuss what role these driven solutions play in the perturbative stability of AdS.

[ { "created": "Mon, 16 Dec 2019 00:42:42 GMT", "version": "v1" }, { "created": "Fri, 24 Apr 2020 21:40:31 GMT", "version": "v2" }, { "created": "Tue, 13 Oct 2020 21:21:03 GMT", "version": "v3" } ]

2020-12-30

[ [ "Cownden", "Brad", "" ] ]

We extend the study of the non-linear perturbative theory of weakly turbulent energy cascades in AdS$_{d+1}$ to include solutions of driven systems, i.e. those with time-dependent sources on the AdS boundary. This necessitates the activation of non-normalizable modes in the linear solution for the massive bulk scalar field, which couple to the metric and normalizable scalar modes. We determine analytic expressions for secular terms in the renormalization flow equations for any mass, and for various driving functions. Finally, we numerically evaluate these sources for $d = 4$ and discuss what role these driven solutions play in the perturbative stability of AdS.

14.569801

15.791768

15.338254

13.207383

15.014904

15.401404

14.978944

13.460917

13.905185

18.814802

13.654543

13.967774

13.929205

13.200778

13.449755

13.837071

13.705175

13.163272

13.759193

14.659619

13.570225

hep-th/0611337

Angel Sanchez

Angel Sanchez, Alejandro Ayala and Gabriella Piccinelli

Effective potential at finite temperature in a constant hypermagnetic field: Ring diagrams in the Standard Model

15 pages, 8 Postscript figures

Phys.Rev.D75:043004,2007

10.1103/PhysRevD.75.043004

null

hep-th astro-ph hep-ph

null

We study the symmetry breaking phenomenon in the standard model during the electroweak phase transition in the presence of a constant hypermagnetic field. We compute the finite temperature effective potential up to the contribution of ring diagrams in the weak field, high temperature limit and show that under these conditions, the phase transition becomes stronger first order.

[ { "created": "Wed, 29 Nov 2006 23:26:01 GMT", "version": "v1" } ]

2008-11-26

[ [ "Sanchez", "Angel", "" ], [ "Ayala", "Alejandro", "" ], [ "Piccinelli", "Gabriella", "" ] ]

We study the symmetry breaking phenomenon in the standard model during the electroweak phase transition in the presence of a constant hypermagnetic field. We compute the finite temperature effective potential up to the contribution of ring diagrams in the weak field, high temperature limit and show that under these conditions, the phase transition becomes stronger first order.

9.919138

8.433509

7.082844

7.248535

9.648958

9.328233

9.69276

9.119886

6.511115

7.304221

8.413527

9.48931

9.266044

8.720243

9.821212

8.71256

9.504708

9.443431

9.425787

8.494765

9.787306

hep-th/9512014

Oleg Soloviev

Oleg A. Soloviev

Is a truly marginal perturbation of the $G_k\times G_k$ WZNW model at $k=-2c_V(G)$ an exception to the rule?

Latex file, 12 pp

null

10.1016/0370-2693(96)00564-3

QMW-PH-95-50

hep-th

null

It is shown that there exists a truly marginal deformation of the direct sum of two $G_k$ WZNW models at $k=-2c_V(G)$ (where $c_V(G)$ is the eigenvalue of the quadratic Casimir operator in the adjoint representation of the group $G$) which does not seem to fit the Chaudhuri-Schwartz criterion for truly marginal perturbations. In addition, a continuous family of WZNW models is constructed.

[ { "created": "Mon, 4 Dec 1995 17:37:00 GMT", "version": "v1" }, { "created": "Tue, 5 Dec 1995 12:10:00 GMT", "version": "v2" }, { "created": "Wed, 6 Dec 1995 11:51:10 GMT", "version": "v3" }, { "created": "Tue, 12 Dec 1995 18:43:03 GMT", "version": "v4" } ]

2009-10-28

[ [ "Soloviev", "Oleg A.", "" ] ]

It is shown that there exists a truly marginal deformation of the direct sum of two $G_k$ WZNW models at $k=-2c_V(G)$ (where $c_V(G)$ is the eigenvalue of the quadratic Casimir operator in the adjoint representation of the group $G$) which does not seem to fit the Chaudhuri-Schwartz criterion for truly marginal perturbations. In addition, a continuous family of WZNW models is constructed.

10.024413

7.626806

10.029623

7.947727

8.235275

7.367763

7.086096

8.048617

8.228071

10.370442

7.604469

7.826565

8.338424

7.512512

7.689042

7.622062

8.126227

8.153181

7.204539

9.025025

7.759207

1601.08218

Adrian Koenigstein

Adrian Koenigstein, Johannes Kirsch, Horst Stoecker, Juergen Struckmeier, David Vasak, Matthias Hanauske

Gauge Theory by canonical Transformations

27 pages

null

10.1142/S0218301316420052

null

hep-th math-ph math.MP

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

Electromagnetism, the strong and the weak interaction are commonly formulated as gauge theories in a Lagrangian description. In this paper we present an alternative formal derivation of U(1)-gauge theory in a manifestly covariant Hamilton formalism. We make use of canonical transformations as our guiding tool to formalize the gauging procedure. The introduction of the gauge field, its transformation behaviour and a dynamical gauge field Lagrangian/Hamiltonian are unavoidable consequences of this formalism, whereas the form of the free gauge Lagrangian/Hamiltonian depends on the selection of the gauge dependence of the canonically conjugate gauge fields.

[ { "created": "Fri, 29 Jan 2016 18:35:49 GMT", "version": "v1" } ]

2016-06-03

[ [ "Koenigstein", "Adrian", "" ], [ "Kirsch", "Johannes", "" ], [ "Stoecker", "Horst", "" ], [ "Struckmeier", "Juergen", "" ], [ "Vasak", "David", "" ], [ "Hanauske", "Matthias", "" ] ]

Electromagnetism, the strong and the weak interaction are commonly formulated as gauge theories in a Lagrangian description. In this paper we present an alternative formal derivation of U(1)-gauge theory in a manifestly covariant Hamilton formalism. We make use of canonical transformations as our guiding tool to formalize the gauging procedure. The introduction of the gauge field, its transformation behaviour and a dynamical gauge field Lagrangian/Hamiltonian are unavoidable consequences of this formalism, whereas the form of the free gauge Lagrangian/Hamiltonian depends on the selection of the gauge dependence of the canonically conjugate gauge fields.

10.053636

10.032882

10.251065

9.514457

10.85041

9.774068

10.93794

9.229004

9.873815

10.605531

9.352031

9.268187

9.402637

9.015285

9.072723

9.210788

8.830294

9.217604

9.511155

9.543807

9.045353

hep-th/9910008

P. Narayana Swamy

R. Acharya and P. Narayana Swamy

No Eigenvalue in Finite Quantum Electrodynamics

13 pages, Latex

Int.J.Mod.Phys. A12 (1997) 3799-3809

10.1142/S0217751X97001961

null

hep-th

null

We re-examine Quantum Electrodynamics (QED) with massless electron as a finite quantum field theory as advocated by Gell-Mann-Low, Baker-Johnson, Adler, Jackiw and others. We analyze the Dyson-Schwinger equation satisfied by the massless electron in finite QED and conclude that the theory admits no nontrivial eigenvalue for the fine structure constant.

[ { "created": "Fri, 1 Oct 1999 15:51:13 GMT", "version": "v1" } ]

2009-10-31

[ [ "Acharya", "R.", "" ], [ "Swamy", "P. Narayana", "" ] ]

We re-examine Quantum Electrodynamics (QED) with massless electron as a finite quantum field theory as advocated by Gell-Mann-Low, Baker-Johnson, Adler, Jackiw and others. We analyze the Dyson-Schwinger equation satisfied by the massless electron in finite QED and conclude that the theory admits no nontrivial eigenvalue for the fine structure constant.

10.864472

11.021267

10.06533

10.761323

10.244669

10.366851

10.525941

10.433066

9.484321

12.317326

9.737231

9.270134

10.07266

9.568428

10.066117

10.31064

9.444908

9.654362

9.695194

9.827029

9.536918

1406.4188

Gary T. Horowitz

Eric Mefford and Gary T. Horowitz

A Simple Holographic Insulator

14 pages, 6 figures; v2: references added

Phys. Rev. D 90, 084042 (2014)

10.1103/PhysRevD.90.084042

null

hep-th

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

We present a simple holographic model of an insulator. Unlike most previous holographic insulators, the zero temperature infrared geometry is completely nonsingular. Both the low temperature DC conductivity and the optical conductivity at zero temperature satisfy power laws with the same exponent, given by the scaling dimension of an operator in the IR. Changing a parameter in the model converts it from an insulator to a conductor with a standard Drude peak.

[ { "created": "Mon, 16 Jun 2014 22:59:09 GMT", "version": "v1" }, { "created": "Fri, 11 Jul 2014 00:11:25 GMT", "version": "v2" } ]

2014-10-29

[ [ "Mefford", "Eric", "" ], [ "Horowitz", "Gary T.", "" ] ]

We present a simple holographic model of an insulator. Unlike most previous holographic insulators, the zero temperature infrared geometry is completely nonsingular. Both the low temperature DC conductivity and the optical conductivity at zero temperature satisfy power laws with the same exponent, given by the scaling dimension of an operator in the IR. Changing a parameter in the model converts it from an insulator to a conductor with a standard Drude peak.

9.549211

9.222729

10.148725

7.999583

9.636169

7.599704

9.34702

7.925758

8.968474

9.483893

9.018284

8.707961

9.25545

8.435294

8.48189

8.443119

9.128155

8.597818

8.813968

9.595599

8.532293

0809.0282

Stefano De Leo

Stefano De Leo, Pietro Rotelli

Fermion-Fermion Bound State Condition for Scalar Exchanges

null

10.1103/PhysRevD.78.025006

null

hep-th

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

The condition for the existence of a bound state between two fermions exchanging massive scalars is derived. For low scalar mass, we reproduce the scalar field model result. The high scalar mass result exhibits a somewhat different inequality condition.

[ { "created": "Mon, 1 Sep 2008 17:11:19 GMT", "version": "v1" } ]

2009-11-13

[ [ "De Leo", "Stefano", "" ], [ "Rotelli", "Pietro", "" ] ]

The condition for the existence of a bound state between two fermions exchanging massive scalars is derived. For low scalar mass, we reproduce the scalar field model result. The high scalar mass result exhibits a somewhat different inequality condition.

26.871838

22.017616

21.329098

18.792517

22.94861

25.828978

22.450821

23.953093

21.919321

21.557142

23.414536

21.969269

22.255976

22.092922

22.29171

24.282442

23.255976

23.82263

22.975645

22.305107

22.825428

2401.03879

Kang Zhou

Yi-Jian Du, Kang Zhou

Multi-trace YMS amplitudes from soft behavior

39 pages, 3 figures

null

hep-th

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

Tree level multi-trace Yang-Mills-scalar (YMS) amplitudes have been shown to satisfy a recursive expansion formula, which expresses any YMS amplitude by those with fewer gluons and/or scalar traces. In an earlier work, the single-trace expansion formula has been shown to be determined by the universality of soft behavior. This approach is nevertheless not extended to multi-trace case in a straightforward way. In this paper, we derive the expansion formula of tree-level multi-trace YMS amplitudes in a bottom-up way: we first determine the simplest amplitude, the double-trace pure scalar amplitude which involves two scalars in each trace. Then insert more scalars to one of the traces. Based on this amplitude, we further obtain the double-soft behavior when the trace containing only two scalars is soft. The multi-trace amplitudes with more scalars and more gluons finally follow from the double-soft behavior as well as the single-soft behaviors which has been derived before.

[ { "created": "Mon, 8 Jan 2024 13:20:04 GMT", "version": "v1" } ]

2024-01-09

[ [ "Du", "Yi-Jian", "" ], [ "Zhou", "Kang", "" ] ]

Tree level multi-trace Yang-Mills-scalar (YMS) amplitudes have been shown to satisfy a recursive expansion formula, which expresses any YMS amplitude by those with fewer gluons and/or scalar traces. In an earlier work, the single-trace expansion formula has been shown to be determined by the universality of soft behavior. This approach is nevertheless not extended to multi-trace case in a straightforward way. In this paper, we derive the expansion formula of tree-level multi-trace YMS amplitudes in a bottom-up way: we first determine the simplest amplitude, the double-trace pure scalar amplitude which involves two scalars in each trace. Then insert more scalars to one of the traces. Based on this amplitude, we further obtain the double-soft behavior when the trace containing only two scalars is soft. The multi-trace amplitudes with more scalars and more gluons finally follow from the double-soft behavior as well as the single-soft behaviors which has been derived before.

9.543674

9.266644

10.114527

8.327588

9.276963

9.426077

8.968609

8.340542

8.638035

11.58068

8.35408

8.531384

9.048114

8.635366

8.773052

8.663001

8.636569

8.669991

8.530681

8.948231

8.510097

hep-th/0401179

V\'aclav Kare\v{s}

Vaclav Kares

0-brane Quantum Chemistry

26 pages, 7 figures

Nucl.Phys. B689 (2004) 53-75

10.1016/j.nuclphysb.2004.04.008

null

hep-th

null

We apply two different numerical methods to solve for the boundstate of two 0-branes in three dimensions. One method is developed by us in this work and we compare it to a method existing in the literature. In spite of considering only three dimensional Minkowski space we obtain interesting results which should give some basic understanding of the behaviour of 0-branes.

[ { "created": "Sat, 24 Jan 2004 12:50:20 GMT", "version": "v1" } ]

2009-11-10

[ [ "Kares", "Vaclav", "" ] ]

We apply two different numerical methods to solve for the boundstate of two 0-branes in three dimensions. One method is developed by us in this work and we compare it to a method existing in the literature. In spite of considering only three dimensional Minkowski space we obtain interesting results which should give some basic understanding of the behaviour of 0-branes.

15.246416

13.355795

13.246995

12.76579

12.312751

12.915308

13.114079

12.782857

12.669861

15.040859

12.844551

12.687536

14.395919

13.687153

13.08713

13.630347

13.542845

13.15012

12.798621

14.496754

12.885809

hep-th/9111028

Kresimir Demeterfi

Jean Avan and Antal Jevicki

String field actions from W-infinity

18 pages

Mod.Phys.Lett. A7 (1992) 357-370

10.1142/S0217732392000306

null

hep-th

null

Starting from $W_{\infty}$ as a fundamental symmetry and using the coadjoint orbit method, we derive an action for one dimensional strings. It is shown that on the simplest nontrivial orbit this gives the single scalar collective field theory. On higher orbits one finds generalized KdV type field theories with increasing number of components. Here the tachyon is coupled to higher tensor fields.

[ { "created": "Fri, 15 Nov 1991 03:44:18 GMT", "version": "v1" } ]

2009-10-22

[ [ "Avan", "Jean", "" ], [ "Jevicki", "Antal", "" ] ]

Starting from $W_{\infty}$ as a fundamental symmetry and using the coadjoint orbit method, we derive an action for one dimensional strings. It is shown that on the simplest nontrivial orbit this gives the single scalar collective field theory. On higher orbits one finds generalized KdV type field theories with increasing number of components. Here the tachyon is coupled to higher tensor fields.

16.733358

13.489518

20.617342

12.475233

13.643814

13.085882

12.596169

12.358852

13.064836

16.675579

13.562481

12.779814

15.932758

12.709189

13.050471

12.555194

13.145477

12.94693

12.765169

15.414086

13.469072

hep-th/0507178

Kasper Peeters

Kasper Peeters, Jan Plefka and Steffen Stern

Higher-derivative gauge field terms in the M-theory action

14 pages, 1 figure; v2: typo corrected

JHEP 0508 (2005) 095

10.1088/1126-6708/2005/08/095

AEI-2005-126

hep-th

null

We use superparticle vertex operator correlators in the light-cone gauge to determine the (DF)^2 R^2 and (DF)^4 terms in the M-theory effective action. Our results, when compactified on a circle, reproduce terms in the type-IIA string effective action obtained through string amplitude calculations.

[ { "created": "Tue, 19 Jul 2005 14:13:32 GMT", "version": "v1" }, { "created": "Wed, 3 Aug 2005 09:18:37 GMT", "version": "v2" } ]

2009-11-11

[ [ "Peeters", "Kasper", "" ], [ "Plefka", "Jan", "" ], [ "Stern", "Steffen", "" ] ]

We use superparticle vertex operator correlators in the light-cone gauge to determine the (DF)^2 R^2 and (DF)^4 terms in the M-theory effective action. Our results, when compactified on a circle, reproduce terms in the type-IIA string effective action obtained through string amplitude calculations.

11.894294

10.668335

12.855025

8.528265

10.407745

8.601831

8.400696

8.595981

8.504452

14.331688

9.152638

9.793414

10.735942

9.769911

9.924077

9.275272

10.02507

9.238433

9.491256

11.250519

9.943652