LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

0709.3757

Damien A. Easson

Spinflation and cycling branes in warped throats

8 pages, 3 figures; To appear in proceedings of PASCOS-07, 2-7 July 2007, Imperial College, London

AIPConf.Proc.957:313-316,2007

10.1063/1.2823790

DCPT-07/51

hep-th astro-ph gr-qc

null

The implications of brane motion in angular directions of Calabi-Yau flux compactifications are discussed from the point of view of an observer living on the worldvolume of the brane and from the point of view of an observer living elsewhere in the three non-compact dimensions. The brane observer can experience cosmological bounces and cyclic behavior of the scale factor induced by centrifugal angular momentum barriers. Observers living elsewhere in the compactification experience marginally prolonged periods of inflation due to large angular momentum (spinflation). The presence of spinflaton fields (or other fields with non-standard kinetic terms) during inflation may lead to interesting observational signatures in the cosmic microwave background radiation.

[ { "created": "Mon, 24 Sep 2007 13:24:52 GMT", "version": "v1" } ]

2008-11-26

[ [ "Easson", "Damien A.", "" ] ]

The implications of brane motion in angular directions of Calabi-Yau flux compactifications are discussed from the point of view of an observer living on the worldvolume of the brane and from the point of view of an observer living elsewhere in the three non-compact dimensions. The brane observer can experience cosmological bounces and cyclic behavior of the scale factor induced by centrifugal angular momentum barriers. Observers living elsewhere in the compactification experience marginally prolonged periods of inflation due to large angular momentum (spinflation). The presence of spinflaton fields (or other fields with non-standard kinetic terms) during inflation may lead to interesting observational signatures in the cosmic microwave background radiation.

11.407463

11.992435

12.538247

11.653433

12.394208

10.632771

11.283476

10.859378

10.823266

15.745124

11.573909

10.688275

11.586007

10.783606

10.99495

10.829281

10.71495

11.227811

10.867535

12.513537

10.732484

hep-th/0308096

Alexander Burinskii Yanovich

Alexander Burinskii

Orientifold D-String in the Source of the Kerr Spinning Particle

7 pages, 4 figures, revtex, v.2, minor corrections of the text and title, discussion of the string excitations is extended, to be published in PRD

Phys.Rev. D68 (2003) 105004

10.1103/PhysRevD.68.105004

null

hep-th gr-qc

null

The model of spinning particle, based on the Kerr-Newman solution with |a}>>m, is discussed. It is shown that the Kerr singular ring can be considered as a string with an orientifold world-sheet. Orientifold adds to the Kerr ring an extra peculiar point, the fixed point of the world-sheet parity operator. It is shown that the Kerr string represents a new type of the string solutions and turns out to be an open D-string with joined ends which are in the circular light-like motion along the Kerr ring.

[ { "created": "Thu, 14 Aug 2003 11:34:04 GMT", "version": "v1" }, { "created": "Mon, 1 Sep 2003 09:45:19 GMT", "version": "v2" } ]

2009-11-10

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

The model of spinning particle, based on the Kerr-Newman solution with |a}>>m, is discussed. It is shown that the Kerr singular ring can be considered as a string with an orientifold world-sheet. Orientifold adds to the Kerr ring an extra peculiar point, the fixed point of the world-sheet parity operator. It is shown that the Kerr string represents a new type of the string solutions and turns out to be an open D-string with joined ends which are in the circular light-like motion along the Kerr ring.

19.507759

17.321732

20.324938

17.540092

16.948523

16.162374

16.39587

16.620844

17.773188

21.033649

16.275911

18.269398

19.961596

18.336254

17.327759

18.760756

17.419279

18.372286

17.850965

19.779907

17.747574

hep-th/9901052

Claudio Lucchesi

C. Lucchesi

Finite-temperature supersymmetry as a constrained supergravity

5 pages, LaTeX. Talk presented at ``Strong and Electroweak Matter 98", Copenhagen, December 2-5 1998

null

hep-th hep-ph

null

We introduce thermal superspace and show how it can be used to reconcile the superfield formulation of supersymmetry with finite temperature environments

[ { "created": "Wed, 13 Jan 1999 18:14:27 GMT", "version": "v1" } ]

2007-05-23

[ [ "Lucchesi", "C.", "" ] ]

We introduce thermal superspace and show how it can be used to reconcile the superfield formulation of supersymmetry with finite temperature environments

17.255039

12.402568

11.507338

11.454571

14.633806

11.788143

11.265842

11.320166

11.000006

11.090047

11.728965

13.772985

12.48953

11.64623

12.429157

14.260877

12.230782

13.243024

11.605097

12.143228

12.445371

2307.03220

Rak-Kyeong Seong

Sebastian Franco, Dongwook Ghim, Georgios P. Goulas, Rak-Kyeong Seong

Mass Deformations of Brane Brick Models

45 pages, 19 figures, 3 tables

JHEP 2309:176,2023

10.1007/JHEP09(2023)176

UNIST-MTH-23-RS-02, YITP-23-47

hep-th math-ph math.MP

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

We investigate a class of mass deformations that connect pairs of 2d (0,2) gauge theories associated to different toric Calabi-Yau 4-folds. These deformations are generalizations to 2d of the well-known Klebanov-Witten deformation relating the 4d gauge theories for the C^2/Z_2 x C orbifold and the conifold. We investigate various aspects of these deformations, including their connection to brane brick models and the relation between the change in the geometry and the pattern of symmetry breaking triggered by the deformation. We also explore how the volume of the Sasaki-Einstein 7-manifold at the base of the Calabi-Yau 4-fold varies under deformation, which leads us to conjecture that it quantifies the number of degrees of freedom of the gauge theory and its dependence on the RG scale.

[ { "created": "Thu, 6 Jul 2023 18:00:00 GMT", "version": "v1" } ]

2023-10-03

[ [ "Franco", "Sebastian", "" ], [ "Ghim", "Dongwook", "" ], [ "Goulas", "Georgios P.", "" ], [ "Seong", "Rak-Kyeong", "" ] ]

We investigate a class of mass deformations that connect pairs of 2d (0,2) gauge theories associated to different toric Calabi-Yau 4-folds. These deformations are generalizations to 2d of the well-known Klebanov-Witten deformation relating the 4d gauge theories for the C^2/Z_2 x C orbifold and the conifold. We investigate various aspects of these deformations, including their connection to brane brick models and the relation between the change in the geometry and the pattern of symmetry breaking triggered by the deformation. We also explore how the volume of the Sasaki-Einstein 7-manifold at the base of the Calabi-Yau 4-fold varies under deformation, which leads us to conjecture that it quantifies the number of degrees of freedom of the gauge theory and its dependence on the RG scale.

7.056023

5.927127

8.808399

5.983212

6.408967

6.368131

6.806958

6.110932

5.730328

9.513991

5.836147

6.354281

7.226398

6.586778

6.692094

6.569658

6.281021

6.463799

6.402782

6.910923

6.515976

hep-th/0303260

Kai Kratzert

Finite-Temperature Supersymmetry: The Wess-Zumino Model

30 pages

Annals Phys. 308 (2003) 285-310

10.1016/S0003-4916(03)00143-X

DESY 03-043

hep-th

null

We investigate the breakdown of supersymmetry at finite temperature. While it has been proven that temperature always breaks supersymmetry, the nature of this breaking is less clear. On the one hand, a study of the Ward-Takahashi identities suggests a spontaneous breakdown of supersymmetry without the existence of a Goldstino, while on the other hand it has been shown that in any supersymmetric plasma there should exist a massless fermionic collective excitation, the phonino. Aim of this work is to unify these two approaches. For the Wess-Zumino model, it is shown that the phonino exists and contributes to the supersymmetric Ward-Takahashi identities in the right way displaying that supersymmetry is broken spontaneously with the phonino as the Goldstone fermion.

[ { "created": "Mon, 31 Mar 2003 11:14:37 GMT", "version": "v1" } ]

2009-11-10

[ [ "Kratzert", "Kai", "" ] ]

We investigate the breakdown of supersymmetry at finite temperature. While it has been proven that temperature always breaks supersymmetry, the nature of this breaking is less clear. On the one hand, a study of the Ward-Takahashi identities suggests a spontaneous breakdown of supersymmetry without the existence of a Goldstino, while on the other hand it has been shown that in any supersymmetric plasma there should exist a massless fermionic collective excitation, the phonino. Aim of this work is to unify these two approaches. For the Wess-Zumino model, it is shown that the phonino exists and contributes to the supersymmetric Ward-Takahashi identities in the right way displaying that supersymmetry is broken spontaneously with the phonino as the Goldstone fermion.

5.988601

6.122977

6.029366

5.626708

6.145518

5.70174

6.208683

6.033753

5.790572

6.226649

5.989867

5.787573

5.852909

5.828138

5.821197

5.876566

5.767966

5.916443

5.777959

5.941921

5.731768

1601.06696

Bayram Tekin

Gokhan Alkac, Ercan Kilicarslan, Bayram Tekin

Asymptotically flat black holes in 2+1 dimensions

11 pages, 1 figure, references added, almost matches the published version. We lost the good title "Black Flowers in Flatland"

Phys. Rev. D 93, 084003 (2016)

10.1103/PhysRevD.93.084003

null

hep-th gr-qc

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

Asymptotically flat black holes in $2+1$ dimensions are a rarity. We study the recently found black flower solutions (asymptotically flat black holes with deformed horizons), static black holes, rotating black holes and the dynamical black flowers (black holes with radiative gravitons ) of the purely quadratic version of new massive gravity. We show how they appear in this theory and we also show that they are also solutions to the infinite order extended version of the new massive gravity, that is the Born-Infeld extension of new massive gravity with an amputated Einsteinian piece. The same metrics also solve the topologically extended versions of these theories, with modified conserved charges and the thermodynamical quantities, such as the Wald entropy. Besides these we find new conformally flat radiating type solutions to these extended gravity models. We also show that these metrics do not arise in Einstein's gravity coupled to physical perfect fluids.

[ { "created": "Mon, 25 Jan 2016 17:51:33 GMT", "version": "v1" }, { "created": "Wed, 27 Jan 2016 14:19:10 GMT", "version": "v2" }, { "created": "Tue, 5 Apr 2016 09:58:53 GMT", "version": "v3" } ]

2016-04-06

[ [ "Alkac", "Gokhan", "" ], [ "Kilicarslan", "Ercan", "" ], [ "Tekin", "Bayram", "" ] ]

Asymptotically flat black holes in $2+1$ dimensions are a rarity. We study the recently found black flower solutions (asymptotically flat black holes with deformed horizons), static black holes, rotating black holes and the dynamical black flowers (black holes with radiative gravitons ) of the purely quadratic version of new massive gravity. We show how they appear in this theory and we also show that they are also solutions to the infinite order extended version of the new massive gravity, that is the Born-Infeld extension of new massive gravity with an amputated Einsteinian piece. The same metrics also solve the topologically extended versions of these theories, with modified conserved charges and the thermodynamical quantities, such as the Wald entropy. Besides these we find new conformally flat radiating type solutions to these extended gravity models. We also show that these metrics do not arise in Einstein's gravity coupled to physical perfect fluids.

13.22256

13.410853

14.911073

13.047877

14.057738

13.394311

13.239242

13.879208

13.278303

15.282483

13.161131

13.537383

13.230774

13.083115

12.8188

13.077732

12.890863

13.168777

13.288568

13.99917

12.96762

1805.06240

Suro Kim

Masaru Hongo, Suro Kim, Toshifumi Noumi, Atsuhisa Ota

Effective field theory of time-translational symmetry breaking in nonequilibrium open system

38 pages, 3 figures

null

10.1007/JHEP02(2019)131

RIKEN-iTHEMS-Report-18, KOBE-COSMO-18-05

hep-th astro-ph.CO cond-mat.quant-gas cond-mat.stat-mech hep-ph

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

We develop the effective field theoretical (EFT) approach to time-translational symmetry breaking of nonequilibrium open systems based on the Schwinger-Keldysh formalism. In the Schwinger-Keldysh formalism, all the symmetries of the microscopic Lagrangian are doubled essentially because the dynamical fields are doubled to describe the time-evolution along the closed-time-path. The effective Lagrangian for open systems are then obtained by coarse-graining the microscopic Schwinger-Keldysh Lagrangian. As a consequence of coarse-graining procedure, there appear the noise and dissipation effects, which explicitly break the doubled time-translational symmetries into a diagonal one. We therefore need to incorporate this symmetry structure to construct the EFT for Nambu-Goldstone bosons in symmetry broken phases of open systems. Based on this observation together with the consistency of the Schwinger-Keldysh action, we construct and study the general EFT for time-translational symmetry breaking in particular, having in mind applications to synchronization, time crystal, and cosmic inflation.

[ { "created": "Wed, 16 May 2018 10:47:17 GMT", "version": "v1" }, { "created": "Sun, 19 Aug 2018 05:42:02 GMT", "version": "v2" } ]

2019-03-27

[ [ "Hongo", "Masaru", "" ], [ "Kim", "Suro", "" ], [ "Noumi", "Toshifumi", "" ], [ "Ota", "Atsuhisa", "" ] ]

We develop the effective field theoretical (EFT) approach to time-translational symmetry breaking of nonequilibrium open systems based on the Schwinger-Keldysh formalism. In the Schwinger-Keldysh formalism, all the symmetries of the microscopic Lagrangian are doubled essentially because the dynamical fields are doubled to describe the time-evolution along the closed-time-path. The effective Lagrangian for open systems are then obtained by coarse-graining the microscopic Schwinger-Keldysh Lagrangian. As a consequence of coarse-graining procedure, there appear the noise and dissipation effects, which explicitly break the doubled time-translational symmetries into a diagonal one. We therefore need to incorporate this symmetry structure to construct the EFT for Nambu-Goldstone bosons in symmetry broken phases of open systems. Based on this observation together with the consistency of the Schwinger-Keldysh action, we construct and study the general EFT for time-translational symmetry breaking in particular, having in mind applications to synchronization, time crystal, and cosmic inflation.

7.466807

8.045764

8.047957

7.143705

7.835818

7.450492

7.265889

7.563359

7.6628

8.011682

7.374442

7.375849

7.612465

7.126212

7.119868

7.319136

6.990459

7.050442

7.287261

7.573677

7.215277

2403.02108

Yusuke Taki

Heng-Yu Chen, Yasuaki Hikida, Yusuke Taki, Takahiro Uetoko

Semi-classical saddles of three-dimensional gravity via holography

7 pages, 1 figure

null

YITP-24-24

hep-th gr-qc

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

We find out the complex geometries corresponding to the semi-classical saddles of threedimensional quantum gravity by making use of the known results of dual conformal field theory (CFT), which is effectively given by Liouville field theory. We examine both the cases with positive and negative cosmological constants. We determine the set of semi-classical saddles to choose from the homotopy argument in the Chern-Simons formulation combined with CFT results and provide strong supports from the mini-superspace approach to the quantum gravity. For the case of positive cosmological constant, partial results were already obtained in our previous works, and they are consistent with the current ones. For the case of negative cosmological constant, we identify the geometry corresponding a semi-classical saddle with three-dimensional Euclidean anti-de Sitter space dressed with imaginary radius three-dimensional spheres. The geometry is generically unphysical, but we argue that the fact itself does not lead to any problems.

[ { "created": "Mon, 4 Mar 2024 15:10:34 GMT", "version": "v1" }, { "created": "Sun, 14 Jul 2024 07:29:32 GMT", "version": "v2" } ]

2024-07-16

[ [ "Chen", "Heng-Yu", "" ], [ "Hikida", "Yasuaki", "" ], [ "Taki", "Yusuke", "" ], [ "Uetoko", "Takahiro", "" ] ]

We find out the complex geometries corresponding to the semi-classical saddles of threedimensional quantum gravity by making use of the known results of dual conformal field theory (CFT), which is effectively given by Liouville field theory. We examine both the cases with positive and negative cosmological constants. We determine the set of semi-classical saddles to choose from the homotopy argument in the Chern-Simons formulation combined with CFT results and provide strong supports from the mini-superspace approach to the quantum gravity. For the case of positive cosmological constant, partial results were already obtained in our previous works, and they are consistent with the current ones. For the case of negative cosmological constant, we identify the geometry corresponding a semi-classical saddle with three-dimensional Euclidean anti-de Sitter space dressed with imaginary radius three-dimensional spheres. The geometry is generically unphysical, but we argue that the fact itself does not lead to any problems.

12.259056

11.472

14.227533

11.00821

11.760361

12.001076

12.040145

11.365095

11.499557

13.029675

11.377737

11.30963

11.915385

10.97878

10.949462

10.816454

11.151219

11.114892

11.267212

12.114036

11.17654

1307.5915

Borun Chowdhury

Borun D. Chowdhury

Cool horizons lead to information loss

22 pages + references, 4 figures. v2: References added, typos corrected

null

10.1007/JHEP10(2013)034

null

hep-th gr-qc

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

There are two evidences for information loss during black hole evaporation: (i) a pure state evolves to a mixed state and (ii) the map from the initial state to final state is non-invertible. Any proposed resolution of the information paradox must address both these issues. The firewall argument focuses only on the first and this leads to order one deviations from the Unruh vacuum for maximally entangled black holes. The nature of the argument does not extend to black holes in pure states. It was shown by Avery, Puhm and the author that requiring the initial state to final state map to be invertible mandates structure at the horizon even for pure states. The proof works if black holes can be formed in generic states and in this paper we show that this is indeed the case. We also demonstrate how models proposed by Susskind, Papadodimas et al. and Maldacena et al. end up making the initial to final state map non-invertible and thus make the horizon "cool" at the cost of unitarity.

[ { "created": "Tue, 23 Jul 2013 00:38:02 GMT", "version": "v1" }, { "created": "Mon, 29 Jul 2013 02:19:26 GMT", "version": "v2" } ]

2015-06-16

[ [ "Chowdhury", "Borun D.", "" ] ]

There are two evidences for information loss during black hole evaporation: (i) a pure state evolves to a mixed state and (ii) the map from the initial state to final state is non-invertible. Any proposed resolution of the information paradox must address both these issues. The firewall argument focuses only on the first and this leads to order one deviations from the Unruh vacuum for maximally entangled black holes. The nature of the argument does not extend to black holes in pure states. It was shown by Avery, Puhm and the author that requiring the initial state to final state map to be invertible mandates structure at the horizon even for pure states. The proof works if black holes can be formed in generic states and in this paper we show that this is indeed the case. We also demonstrate how models proposed by Susskind, Papadodimas et al. and Maldacena et al. end up making the initial to final state map non-invertible and thus make the horizon "cool" at the cost of unitarity.

8.661605

8.974407

9.346022

8.861182

8.112199

9.010201

9.086596

9.027794

9.113331

9.87043

8.636293

8.161186

8.500319

8.060568

8.188475

8.084013

8.201376

8.409285

7.994985

8.607835

8.297802

1211.5993

Rodrigo Ferreira Sobreiro

R. F. Sobreiro, A. A. Tomaz and V. J. Vasquez Otoya

Induced gravity from gauge theories

17pp. No figures. Talk given at \emph{NEB 15 - Recent Developments in Gravity}, 20-23 June 2012, Technological Educational Institute, Chania, Crete, Greece

null

10.1088/1742-6596/453/1/012014

null

hep-th gr-qc

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

We discuss the possibility of a class of gauge theories, in four Euclidean dimensions, to describe gravity at quantum level. The requirement is that, at low energies, these theories can be identified with gravity as a geometrodynamical theory. Specifically, we deal with de Sitter-type groups and show that a Riemann-Cartan first order gravity emerges. An analogy with quantum chromodynamics is also formulated. Under this analogy it is possible to associate a soft BRST breaking to a continuous deformation between both sectors of the theory, namely, ultraviolet and infrared. Moreover, instead of hadrons and glueballs, the physical observables are identified with the geometric properties of spacetime. Furthermore, Newton and cosmological constants can be determined from the dynamical content of the theory.

[ { "created": "Mon, 26 Nov 2012 15:43:43 GMT", "version": "v1" }, { "created": "Mon, 29 Apr 2013 15:10:28 GMT", "version": "v2" }, { "created": "Mon, 26 Aug 2013 14:58:43 GMT", "version": "v3" } ]

2015-06-12

[ [ "Sobreiro", "R. F.", "" ], [ "Tomaz", "A. A.", "" ], [ "Otoya", "V. J. Vasquez", "" ] ]

We discuss the possibility of a class of gauge theories, in four Euclidean dimensions, to describe gravity at quantum level. The requirement is that, at low energies, these theories can be identified with gravity as a geometrodynamical theory. Specifically, we deal with de Sitter-type groups and show that a Riemann-Cartan first order gravity emerges. An analogy with quantum chromodynamics is also formulated. Under this analogy it is possible to associate a soft BRST breaking to a continuous deformation between both sectors of the theory, namely, ultraviolet and infrared. Moreover, instead of hadrons and glueballs, the physical observables are identified with the geometric properties of spacetime. Furthermore, Newton and cosmological constants can be determined from the dynamical content of the theory.

12.945203

13.425886

12.742478

13.38708

12.965718

13.740727

12.815962

12.811284

11.962262

13.287719

12.711138

12.049794

12.794532

12.215115

12.029557

12.036738

12.230712

12.161611

12.352226

12.391632

12.235099

2310.19870

James Halverson

James Halverson and Fabian Ruehle

Metric Flows with Neural Networks

29 pages + references

null

hep-th cs.LG math.DG

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

We develop a theory of flows in the space of Riemannian metrics induced by neural network gradient descent. This is motivated in part by recent advances in approximating Calabi-Yau metrics with neural networks and is enabled by recent advances in understanding flows in the space of neural networks. We derive the corresponding metric flow equations, which are governed by a metric neural tangent kernel, a complicated, non-local object that evolves in time. However, many architectures admit an infinite-width limit in which the kernel becomes fixed and the dynamics simplify. Additional assumptions can induce locality in the flow, which allows for the realization of Perelman's formulation of Ricci flow that was used to resolve the 3d Poincar\'e conjecture. We apply these ideas to numerical Calabi-Yau metrics, including a discussion on the importance of feature learning.

[ { "created": "Mon, 30 Oct 2023 18:00:01 GMT", "version": "v1" } ]

2023-11-01

[ [ "Halverson", "James", "" ], [ "Ruehle", "Fabian", "" ] ]

We develop a theory of flows in the space of Riemannian metrics induced by neural network gradient descent. This is motivated in part by recent advances in approximating Calabi-Yau metrics with neural networks and is enabled by recent advances in understanding flows in the space of neural networks. We derive the corresponding metric flow equations, which are governed by a metric neural tangent kernel, a complicated, non-local object that evolves in time. However, many architectures admit an infinite-width limit in which the kernel becomes fixed and the dynamics simplify. Additional assumptions can induce locality in the flow, which allows for the realization of Perelman's formulation of Ricci flow that was used to resolve the 3d Poincar\'e conjecture. We apply these ideas to numerical Calabi-Yau metrics, including a discussion on the importance of feature learning.

13.609319

14.435475

14.549876

12.570817

14.427231

13.21499

14.844678

13.187016

12.173157

14.027187

12.840059

12.312153

12.615437

12.711234

12.535501

12.069682

13.147401

12.154576

12.363137

13.092282

12.953974

hep-th/0411192

Sami Mohammad

Edmund J.Copeland, Mohammad R.Garousi, M.Sami, Shinji Tsujikawa

What is needed of a tachyon if it is to be the dark energy?

11 pages and 3 figures, minor clarifications added; final version to appear in PRD

Phys.Rev.D71:043003,2005

10.1103/PhysRevD.71.043003

null

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

null

We study a dark energy scenario in the presence of a tachyon field $\phi$ with potential $V(\phi)$ and a barotropic perfect fluid. The cosmological dynamics crucially depends on the asymptotic behavior of the quantity $\lambda=-M_pV_\phi/V^{3/2}$. If $\lambda$ is a constant, which corresponds to an inverse square potential $V(\phi) \propto \phi^{-2}$, there exists one stable critical point that gives an acceleration of the universe at late times. When $\lambda \to 0$ asymptotically, we can have a viable dark energy scenario in which the system approaches an ``instantaneous'' critical point that dynamically changes with $\lambda$. If $|\lambda|$ approaches infinity asymptotically, the universe does not exhibit an acceleration at late times. In this case, however, we find an interesting possibility that a transient acceleration occurs in a regime where $|\lambda|$ is smaller than of order unity.

[ { "created": "Mon, 22 Nov 2004 07:58:48 GMT", "version": "v1" }, { "created": "Fri, 28 Jan 2005 06:36:51 GMT", "version": "v2" } ]

2008-11-26

[ [ "Copeland", "Edmund J.", "" ], [ "Garousi", "Mohammad R.", "" ], [ "Sami", "M.", "" ], [ "Tsujikawa", "Shinji", "" ] ]

We study a dark energy scenario in the presence of a tachyon field $\phi$ with potential $V(\phi)$ and a barotropic perfect fluid. The cosmological dynamics crucially depends on the asymptotic behavior of the quantity $\lambda=-M_pV_\phi/V^{3/2}$. If $\lambda$ is a constant, which corresponds to an inverse square potential $V(\phi) \propto \phi^{-2}$, there exists one stable critical point that gives an acceleration of the universe at late times. When $\lambda \to 0$ asymptotically, we can have a viable dark energy scenario in which the system approaches an ``instantaneous'' critical point that dynamically changes with $\lambda$. If $|\lambda|$ approaches infinity asymptotically, the universe does not exhibit an acceleration at late times. In this case, however, we find an interesting possibility that a transient acceleration occurs in a regime where $|\lambda|$ is smaller than of order unity.

6.323443

6.780556

5.67708

5.590087

6.660183

6.700356

6.768198

5.546649

6.242214

6.318062

5.911479

6.279438

5.92904

5.890572

6.050174

6.01866

6.257661

5.925372

6.133983

5.732563

6.043521

hep-th/9807241

Rey Soojong

Soo-Jong Rey

Holography Principle and Topology Change in String Theory

Latex, one figure, 10 pages, v2. references corrected, v3. version to appear in Classical and Quantum Gravity

Class.Quant.Grav.16:L37-L43,1999

10.1088/0264-9381/16/7/102

SNUTP 98/089

hep-th

null

D-instantons of Type IIB string theory are Ramond-Ramond counterpart of Giddings-Strominger wormholes connecting two asymptotic regions of spacetime. Such wormholes, according to Coleman, might lead to spacetime topology change, third-quantized baby universes and probabilistic determination of fundamental coupling parameters. Utilizing correspondence between AdS5 x M5 Type IIB supergravity and d=4 super Yang-Mills theory, we point out that topology change and sum over topologies not only take place in string theory but also are required for consistency with holography. Nevertheless, the effects of D-instanton wormholes remain completely deterministic, in sharp contrast to Coleman's scenario.

[ { "created": "Fri, 31 Jul 1998 23:03:01 GMT", "version": "v1" }, { "created": "Sun, 2 Aug 1998 22:26:39 GMT", "version": "v2" }, { "created": "Wed, 2 Jun 1999 05:51:10 GMT", "version": "v3" } ]

2010-04-06

[ [ "Rey", "Soo-Jong", "" ] ]

D-instantons of Type IIB string theory are Ramond-Ramond counterpart of Giddings-Strominger wormholes connecting two asymptotic regions of spacetime. Such wormholes, according to Coleman, might lead to spacetime topology change, third-quantized baby universes and probabilistic determination of fundamental coupling parameters. Utilizing correspondence between AdS5 x M5 Type IIB supergravity and d=4 super Yang-Mills theory, we point out that topology change and sum over topologies not only take place in string theory but also are required for consistency with holography. Nevertheless, the effects of D-instanton wormholes remain completely deterministic, in sharp contrast to Coleman's scenario.

13.316617

11.480315

13.106461

11.906588

11.753924

13.136413

13.72121

11.977399

11.990283

13.292424

12.354996

12.05924

12.712835

11.828878

12.031768

12.484436

12.204734

12.35829

12.133471

12.703515

11.995976

0710.5157

Alexei Semikhatov

AM Semikhatov

A note on the logarithmic (p,p') fusion

12 pages, amsart++, times. V2: some explanatory comments added

null

hep-th

null

The procedure in [Fuchs et al.] to obtain a fusion algebra from the modular transformation of characters in logarithmic conformal field models is extended to the (p,p') logarithmic models. The resulting fusion algebra coincides with the Grothendieck ring of the quantum group of the (p,p') model.

[ { "created": "Fri, 26 Oct 2007 18:12:39 GMT", "version": "v1" }, { "created": "Mon, 29 Oct 2007 20:30:25 GMT", "version": "v2" } ]

2007-10-29

[ [ "Semikhatov", "AM", "" ] ]

The procedure in [Fuchs et al.] to obtain a fusion algebra from the modular transformation of characters in logarithmic conformal field models is extended to the (p,p') logarithmic models. The resulting fusion algebra coincides with the Grothendieck ring of the quantum group of the (p,p') model.

12.008801

8.460546

13.158342

8.721947

8.767465

8.20737

8.696034

8.336778

9.116837

13.052199

8.162774

8.383584

11.437289

8.707883

8.8293

8.997248

8.498764

8.767861

8.058177

10.04024

8.540068

1205.4241

Mark Wyman

Pierre Gratia, Wayne Hu, Mark Wyman

Self-accelerating Massive Gravity: Exact solutions for any isotropic matter distribution

4 pages, no figures. v2: minor improvements to text, matches published version

Phys. Rev. D 86 (2012) 061504

10.1103/PhysRevD.86.061504

null

hep-th astro-ph.CO gr-qc

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

We present an exact solution to the equations of massive gravity that displays cosmological constant-like behavior for any spherically symmetric distribution of matter, including arbitrary time dependence. On this solution, the new degrees of freedom from the massive graviton generate a cosmological constant-like contribution to stress-energy that does not interact directly with other matter sources. When the effective cosmological constant contribution dominates over other sources of stress energy the cosmological expansion self-accelerates, even when no other dark-energy-like ingredients are present. The new degrees of freedom introduced by giving the graviton the mass do not respond to arbitrarily large radial or homogeneous perturbations from other matter fields on this solution. We comment on possible implications of this result.

[ { "created": "Fri, 18 May 2012 20:00:02 GMT", "version": "v1" }, { "created": "Thu, 18 Oct 2012 19:26:08 GMT", "version": "v2" } ]

2012-11-22

[ [ "Gratia", "Pierre", "" ], [ "Hu", "Wayne", "" ], [ "Wyman", "Mark", "" ] ]

We present an exact solution to the equations of massive gravity that displays cosmological constant-like behavior for any spherically symmetric distribution of matter, including arbitrary time dependence. On this solution, the new degrees of freedom from the massive graviton generate a cosmological constant-like contribution to stress-energy that does not interact directly with other matter sources. When the effective cosmological constant contribution dominates over other sources of stress energy the cosmological expansion self-accelerates, even when no other dark-energy-like ingredients are present. The new degrees of freedom introduced by giving the graviton the mass do not respond to arbitrarily large radial or homogeneous perturbations from other matter fields on this solution. We comment on possible implications of this result.

12.835905

13.637735

11.77333

12.712111

13.469522

13.523053

13.701542

12.824903

12.325956

13.396943

11.997263

12.457952

11.425621

11.606073

12.187674

11.651304

11.911006

10.91993

12.316368

11.505086

12.273161

hep-th/0507123

Dmitri Vassilevich

Dmitri V. Vassilevich

Heat kernel, effective action and anomalies in noncommutative theories

21 pages, v2: references added

JHEP 0508 (2005) 085

10.1088/1126-6708/2005/08/085

null

hep-th

null

Being motivated by physical applications (as the phi^4 model) we calculate the heat kernel coefficients for generalised Laplacians on the Moyal plane containing both left and right multiplications. We found both star-local and star-nonlocal terms. By using these results we calculate the large mass and strong noncommutativity expansion of the effective action and of the vacuum energy. We also study the axial anomaly in the models with gauge fields acting on fermions from the left and from the right.

[ { "created": "Wed, 13 Jul 2005 16:02:38 GMT", "version": "v1" }, { "created": "Sun, 17 Jul 2005 15:00:39 GMT", "version": "v2" } ]

2009-11-11

[ [ "Vassilevich", "Dmitri V.", "" ] ]

Being motivated by physical applications (as the phi^4 model) we calculate the heat kernel coefficients for generalised Laplacians on the Moyal plane containing both left and right multiplications. We found both star-local and star-nonlocal terms. By using these results we calculate the large mass and strong noncommutativity expansion of the effective action and of the vacuum energy. We also study the axial anomaly in the models with gauge fields acting on fermions from the left and from the right.

14.911471

12.003606

14.118914

11.539815

13.158797

11.658629

11.906213

10.798927

12.287446

13.753388

11.570475

10.813069

12.284599

11.535499

11.786901

10.871885

11.033161

11.10529

11.128482

12.453225

11.644492

hep-th/9903256

Ioannis Bakas

Remarks on the Atiyah-Hitchin metric

11 pages, latex

Fortsch.Phys.48:9-14,2000

10.1002/(SICI)1521-3978(20001)48:1/3<9::AID-PROP9>3.0.CO;2-7

null

hep-th

null

We outline the construction of the Atiyah-Hitchin metric on the moduli space of SU(2) BPS monopoles with charge 2, first as an algebraic curve in C^3 following Donaldson and then as a solution of the Toda field equations in the continual large N limit. We adopt twistor methods to solve the underlying uniformization problem, which by the generalized Legendre transformation yield the Kahler coordinates and the Kahler potential of the metric. We also comment on the connection between twistors and the Seiberg-Witten construction of quantum moduli spaces, as they arise in three dimensional supersymmetric gauge theories, and briefly address the uniformization of algebraic curves in C^3 in the context of large N Toda theory. (Based on talks delivered in September 1998 at the 32nd International Symposium Ahrenshoop on the Theory of Elementary Particles, Buckow; the 21st Triangular Meeting on Quantum Field Theory, Crete and the TMR meeting on Quantum Aspects of Gauge Theories, Supersymmetry and Unification, Corfu; to be published in the proceedings in Fortschritte der Physik.)

[ { "created": "Tue, 30 Mar 1999 17:53:33 GMT", "version": "v1" } ]

2015-06-26

[ [ "Bakas", "Ioannis", "" ] ]

We outline the construction of the Atiyah-Hitchin metric on the moduli space of SU(2) BPS monopoles with charge 2, first as an algebraic curve in C^3 following Donaldson and then as a solution of the Toda field equations in the continual large N limit. We adopt twistor methods to solve the underlying uniformization problem, which by the generalized Legendre transformation yield the Kahler coordinates and the Kahler potential of the metric. We also comment on the connection between twistors and the Seiberg-Witten construction of quantum moduli spaces, as they arise in three dimensional supersymmetric gauge theories, and briefly address the uniformization of algebraic curves in C^3 in the context of large N Toda theory. (Based on talks delivered in September 1998 at the 32nd International Symposium Ahrenshoop on the Theory of Elementary Particles, Buckow; the 21st Triangular Meeting on Quantum Field Theory, Crete and the TMR meeting on Quantum Aspects of Gauge Theories, Supersymmetry and Unification, Corfu; to be published in the proceedings in Fortschritte der Physik.)

7.68265

7.238886

10.497801

6.952742

8.306838

7.619151

7.766199

7.18336

7.183493

10.779539

6.913855

7.251682

7.498774

7.303216

7.160882

7.152538

7.387572

6.981766

7.319447

7.910841

7.140127

hep-th/0105179

null

Michael Atiyah and Paul Sutcliffe

The Geometry of Point Particles

32 pages, including 8 figures

Proc.Roy.Soc.Lond. A458 (2002) 1089-1116

10.1098/rspa.2001.0913

null

hep-th

null

There is a very natural map from the configuration space of n distinct points in Euclidean 3-space into the flag manifold U(n)/U(1)^n, which is compatible with the action of the symmetric group. The map is well-defined for all configurations of points provided a certain conjecture holds, for which we provide numerical evidence. We propose some additional conjectures, which imply the first, and test these numerically. Motivated by the above map, we define a geometrical multi-particle energy function and compute the energy minimizing configurations for up to 32 particles. These configurations comprise the vertices of polyhedral structures which are dual to those found in a number of complicated physical theories, such as Skyrmions and fullerenes. Comparisons with 2-particle and 3-particle energy functions are made. The planar restriction and the generalization to hyperbolic 3-space are also investigated.

[ { "created": "Fri, 18 May 2001 11:00:06 GMT", "version": "v1" }, { "created": "Mon, 15 Oct 2001 08:22:25 GMT", "version": "v2" } ]

2009-11-07

[ [ "Atiyah", "Michael", "" ], [ "Sutcliffe", "Paul", "" ] ]

There is a very natural map from the configuration space of n distinct points in Euclidean 3-space into the flag manifold U(n)/U(1)^n, which is compatible with the action of the symmetric group. The map is well-defined for all configurations of points provided a certain conjecture holds, for which we provide numerical evidence. We propose some additional conjectures, which imply the first, and test these numerically. Motivated by the above map, we define a geometrical multi-particle energy function and compute the energy minimizing configurations for up to 32 particles. These configurations comprise the vertices of polyhedral structures which are dual to those found in a number of complicated physical theories, such as Skyrmions and fullerenes. Comparisons with 2-particle and 3-particle energy functions are made. The planar restriction and the generalization to hyperbolic 3-space are also investigated.

8.986409

9.339813

9.628003

8.918716

9.122585

9.244806

10.095005

9.358501

8.939914

10.028977

8.944736

8.708387

8.978224

8.657566

8.504055

8.936007

8.799867

8.666259

8.928947

8.77195

8.748193

1510.01054

Taejin Lee

$U(1)$ Chiral Symmetry in One-Dimensional Interacting Electron System with Spin

21 pages, 3 figures

null

10.3938/jkps.69.1401

null

hep-th cond-mat.str-el

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

We study a spin dependent Tomonaga-Luttinger model in one dimension, which describes electron transport through a single barrier. Using the Fermi-Bose equivalence in one dimension, we map the model onto a massless Thirring model with a boundary interaction. A field theoretical perturbation theory for the model has been developed and the chiral symmetry is found to play an important role. The classical bulk action possesses a global $U_A(1)^4$ chiral symmetry, since the fermion fields are massless. This global chiral symmetry is broken by the boundary interaction and the bosonic degrees of freedom, corresponding to the chiral phase transformation, become dynamical. They acquire an additional kinetic action from the fermion path integral measure and govern the critical behaviors of physical operators. On the critical line where the boundary interaction becomes marginal, they decouple from the fermi fields. Consequently the action reduces to the free field action, which contains only a fermion bilinear boundary mass term as an interaction term. By a renormalization group analysis, we obtain a new critical line, which differs from the previously known critical lines in the literature. The result of this work implies that the phase diagram of the one dimensional electron system may have a richer structure than previously known.

[ { "created": "Mon, 5 Oct 2015 07:36:55 GMT", "version": "v1" }, { "created": "Wed, 7 Oct 2015 06:47:23 GMT", "version": "v2" } ]

2016-12-21

[ [ "Lee", "Taejin", "" ] ]

We study a spin dependent Tomonaga-Luttinger model in one dimension, which describes electron transport through a single barrier. Using the Fermi-Bose equivalence in one dimension, we map the model onto a massless Thirring model with a boundary interaction. A field theoretical perturbation theory for the model has been developed and the chiral symmetry is found to play an important role. The classical bulk action possesses a global $U_A(1)^4$ chiral symmetry, since the fermion fields are massless. This global chiral symmetry is broken by the boundary interaction and the bosonic degrees of freedom, corresponding to the chiral phase transformation, become dynamical. They acquire an additional kinetic action from the fermion path integral measure and govern the critical behaviors of physical operators. On the critical line where the boundary interaction becomes marginal, they decouple from the fermi fields. Consequently the action reduces to the free field action, which contains only a fermion bilinear boundary mass term as an interaction term. By a renormalization group analysis, we obtain a new critical line, which differs from the previously known critical lines in the literature. The result of this work implies that the phase diagram of the one dimensional electron system may have a richer structure than previously known.

8.362576

9.288082

9.570732

8.267604

8.802948

9.391495

9.157242

8.800607

9.108446

9.875055

8.593007

8.494091

8.630657

8.224509

8.417579

8.611269

8.173135

8.312752

8.110373

8.326039

8.35214

2112.14270

Guillermo A. Silva

Matias N. Semp\'e and Guillermo A. Silva

Fermionic Matrix Models and Bosonization

30 pages, 7 figures. Final version accepted in PRD

null

10.1103/PhysRevD.106.106005

null

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

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

We explore different limits of exactly solvable vector and matrix fermionic quantum mechanical models with quartic interactions at finite temperature. The models preserve a $U(1)\times SU(N)\times SU(L)$ symmetry at the classical level and we analyze them through bosonization techniques introducing scalar (singlet) and matrix (non-singlet) bosonic fields. The bosonic path integral representations in the vector limits $(N,1)$ and $(1,L)$ are matched to fermionic Fock space Hamiltonians expressed in terms of quadratic Casimirs and some additional terms involving the Cartan subalgebra, which makes explicit the symmetries preserved by scalar and matrix bosonizations at the quantum level. For the case of non-singlet bosonization we find an equivalence between the vector model and the Polychronakos+Frahm spin model. Using this relation we compute the free energy. Finally, we compute the eigenvalue distribution in the large $N,L$-limit with $ \alpha = \frac{L}{N}$ fixed. The model displays a third order phase transition as we vary the temperature which, in the $\alpha\gg1$ limit, can be characterized analytically. We conclude finding the critical curve in the parameter space were the eigenvalue distribution transitions from single to double cut.

[ { "created": "Tue, 28 Dec 2021 19:11:26 GMT", "version": "v1" }, { "created": "Fri, 22 Jul 2022 21:25:09 GMT", "version": "v2" }, { "created": "Sat, 22 Oct 2022 12:21:14 GMT", "version": "v3" } ]

2022-11-23

[ [ "Sempé", "Matias N.", "" ], [ "Silva", "Guillermo A.", "" ] ]

We explore different limits of exactly solvable vector and matrix fermionic quantum mechanical models with quartic interactions at finite temperature. The models preserve a $U(1)\times SU(N)\times SU(L)$ symmetry at the classical level and we analyze them through bosonization techniques introducing scalar (singlet) and matrix (non-singlet) bosonic fields. The bosonic path integral representations in the vector limits $(N,1)$ and $(1,L)$ are matched to fermionic Fock space Hamiltonians expressed in terms of quadratic Casimirs and some additional terms involving the Cartan subalgebra, which makes explicit the symmetries preserved by scalar and matrix bosonizations at the quantum level. For the case of non-singlet bosonization we find an equivalence between the vector model and the Polychronakos+Frahm spin model. Using this relation we compute the free energy. Finally, we compute the eigenvalue distribution in the large $N,L$-limit with $ \alpha = \frac{L}{N}$ fixed. The model displays a third order phase transition as we vary the temperature which, in the $\alpha\gg1$ limit, can be characterized analytically. We conclude finding the critical curve in the parameter space were the eigenvalue distribution transitions from single to double cut.

10.421218

10.915892

11.118539

9.910708

11.359666

10.877684

10.188919

10.049669

9.7223

11.503671

9.70023

10.182024

10.611218

10.045659

10.430557

10.093189

9.934459

10.104794

10.139505

10.662858

10.112374

hep-th/0306203

Liu Zhao

Liu Zhao, Wenli He

On open string in generic background

Revtex4, 5pp. V2: Some clarification on the choice of background fields and usage of delta functions made; two new references added. V3: Typos corrected. V4: More comments added

null

hep-th

null

A set of consistent Poisson brackets for an open string in generic spacetime background and NS-NS $B$-field is constructed. Upon quantization, this set of Poisson brackets lead to spacial \emph{commutative} $D$-branes at the string ends, showing that noncommutativity between spacial coordinates on the $D$-branes can be avoided.

[ { "created": "Fri, 20 Jun 2003 17:54:45 GMT", "version": "v1" }, { "created": "Sun, 20 Jul 2003 09:34:25 GMT", "version": "v2" }, { "created": "Fri, 25 Jul 2003 08:11:08 GMT", "version": "v3" }, { "created": "Fri, 19 Sep 2003 03:40:18 GMT", "version": "v4" } ]

2007-05-23

[ [ "Zhao", "Liu", "" ], [ "He", "Wenli", "" ] ]

A set of consistent Poisson brackets for an open string in generic spacetime background and NS-NS $B$-field is constructed. Upon quantization, this set of Poisson brackets lead to spacial \emph{commutative} $D$-branes at the string ends, showing that noncommutativity between spacial coordinates on the $D$-branes can be avoided.

11.240087

8.847161

10.24365

9.369037

9.13363

9.499409

9.811763

9.784957

9.159675

11.385794

8.76443

9.148211

9.431189

9.268636

9.239388

9.710385

9.235592

9.231999

9.101027

9.277533

8.779955

hep-th/9409196

null

M. Kibler and P. Labastie

Transformations Generalizing the Levi-Civita, Kustaanheimo-Stiefel, and Fock Transformations

7 pages, Tex, LYCEN 8829

null

hep-th

null

Preliminary results concerning non-quadratic (and non-bijective) transformations that exibit a degree of parentage with the well known Levi-Civita, Kustaanheimo-Stiefel, and Fock transformations are reported in this article. Some of the new transformations are applied to non-relativistic quantum dynamical systems in two dimensions.

[ { "created": "Fri, 30 Sep 1994 17:59:17 GMT", "version": "v1" } ]

2007-05-23

[ [ "Kibler", "M.", "" ], [ "Labastie", "P.", "" ] ]

Preliminary results concerning non-quadratic (and non-bijective) transformations that exibit a degree of parentage with the well known Levi-Civita, Kustaanheimo-Stiefel, and Fock transformations are reported in this article. Some of the new transformations are applied to non-relativistic quantum dynamical systems in two dimensions.

13.078855

11.690664

13.126416

11.431992

10.273019

10.935519

10.528551

11.769171

10.536414

16.18244

11.372112

9.569251

11.661445

10.072121

9.786711

10.053007

10.358908

9.965525

9.900247

11.368962

10.448799

2405.04148

Robert de Mello Koch

Robert de Mello Koch, Pratik Roy and Hendrik J.R. Van Zyl

Reconstructing the spacetime dual to a free matrix

null

hep-th

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

In this paper we consider the collective field theory description of the singlet sector of a free matrix field in 2+1 dimensions. This necessarily involves the study of $k$-local collective fields, which are functions of $2k+1$ coordinates. We argue that these coordinates have a natural interpretation: the $k$-local collective field is a field defined on an AdS$_4\times$S$^{k-2}\times$S$^{k-1}$ spacetime. The modes of a harmonic expansion on the S$^{k-2}\times$S$^{k-1}$ portion of the spacetime leads to the spinning bulk fields of the dual gravity theory.

[ { "created": "Tue, 7 May 2024 09:33:08 GMT", "version": "v1" } ]

2024-05-08

[ [ "Koch", "Robert de Mello", "" ], [ "Roy", "Pratik", "" ], [ "Van Zyl", "Hendrik J. R.", "" ] ]

In this paper we consider the collective field theory description of the singlet sector of a free matrix field in 2+1 dimensions. This necessarily involves the study of $k$-local collective fields, which are functions of $2k+1$ coordinates. We argue that these coordinates have a natural interpretation: the $k$-local collective field is a field defined on an AdS$_4\times$S$^{k-2}\times$S$^{k-1}$ spacetime. The modes of a harmonic expansion on the S$^{k-2}\times$S$^{k-1}$ portion of the spacetime leads to the spinning bulk fields of the dual gravity theory.

7.593052

6.568285

8.16424

6.854251

6.836845

7.212161

6.93375

7.119345

7.045354

8.295248

6.53079

6.574194

7.347815

6.685751

6.480024

6.532092

6.583929

6.664896

6.545401

7.269653

6.615998

1812.01544

Hrachya Khachatryan

Sergio Benvenuti and Hrachya Khachatryan

QED's in $2{+}1$ dimensions: complex fixed points and dualities

22 pages, many figures

null

hep-th cond-mat.str-el

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

We consider Quantum Electrodynamics with an even number $N_f$ of bosonic or fermionic flavors, allowing for interactions respecting at least $U(N_f/2)^2$ global symmetry. Both in the bosonic and in the fermionic case, we find four interacting fixed points: two with $U(N_f/2)^2$ symmetry, two with $U(N_f)$ symmetry. Large $N_f$ arguments suggest that, lowering $N_f$, all these fixed points merge pairwise and become complex CFT's. In the bosonic QED's the merging happens around $N_f\sim 9{-}11$ and does not break the global symmetry. In the fermionic QED's the merging happens around $N_f\sim3{-}7$ and breaks $U(N_f)$ to $U(N_f/2)^2$. When $N_f=2$, we show that all four bosonic fixed points are one-to-one dual to the fermionic fixed points. The merging pattern suggested at large $N_f$ is consistent with the four $N_f=2$ boson $\lra$ fermion dualities, providing support to the validity of the scenario.

[ { "created": "Tue, 4 Dec 2018 17:21:34 GMT", "version": "v1" }, { "created": "Wed, 27 Feb 2019 09:40:25 GMT", "version": "v2" } ]

2019-02-28

[ [ "Benvenuti", "Sergio", "" ], [ "Khachatryan", "Hrachya", "" ] ]

We consider Quantum Electrodynamics with an even number $N_f$ of bosonic or fermionic flavors, allowing for interactions respecting at least $U(N_f/2)^2$ global symmetry. Both in the bosonic and in the fermionic case, we find four interacting fixed points: two with $U(N_f/2)^2$ symmetry, two with $U(N_f)$ symmetry. Large $N_f$ arguments suggest that, lowering $N_f$, all these fixed points merge pairwise and become complex CFT's. In the bosonic QED's the merging happens around $N_f\sim 9{-}11$ and does not break the global symmetry. In the fermionic QED's the merging happens around $N_f\sim3{-}7$ and breaks $U(N_f)$ to $U(N_f/2)^2$. When $N_f=2$, we show that all four bosonic fixed points are one-to-one dual to the fermionic fixed points. The merging pattern suggested at large $N_f$ is consistent with the four $N_f=2$ boson $\lra$ fermion dualities, providing support to the validity of the scenario.

6.331477

6.726508

6.393807

6.054363

6.148499

6.779042

6.27427

6.542359

6.55693

7.007143

6.237206

6.459668

6.468244

6.258405

6.323452

6.358488

6.223897

6.349219

6.22392

6.536082

6.095487

1105.4584

Kirill Petunin

Heng-Yu Chen, Nick Dorey and Kirill Petunin

Moduli Space and Wall-Crossing Formulae in Higher-Rank Gauge Theories

26 pages, no figures

JHEP 1111 (2011) 020

10.1007/JHEP11(2011)020

DAMTP-2011-32; MAD-TH-11-07

hep-th

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

We study the interplay between wall-crossing in four-dimensional gauge theory and instanton contributions to the moduli space metric of the same theory on $\mathbb{R}^{3}\times S^{1}$. We consider $\mathcal{N}=2$ SUSY Yang--Mills with gauge group SU(n) and focus on walls of marginal stability which extend to weak coupling. By comparison with explicit field theory results we verify the Kontsevich--Soibelman formula for the change in the BPS spectrum at these walls and check the smoothness of the metric in the corresponding compactified theory. We also verify in detail the predictions for the one instanton contribution to the metric coming from the non-linear integral equations of Gaiotto, Moore and Nietzke.

[ { "created": "Mon, 23 May 2011 19:04:25 GMT", "version": "v1" } ]

2012-03-06

[ [ "Chen", "Heng-Yu", "" ], [ "Dorey", "Nick", "" ], [ "Petunin", "Kirill", "" ] ]

We study the interplay between wall-crossing in four-dimensional gauge theory and instanton contributions to the moduli space metric of the same theory on $\mathbb{R}^{3}\times S^{1}$. We consider $\mathcal{N}=2$ SUSY Yang--Mills with gauge group SU(n) and focus on walls of marginal stability which extend to weak coupling. By comparison with explicit field theory results we verify the Kontsevich--Soibelman formula for the change in the BPS spectrum at these walls and check the smoothness of the metric in the corresponding compactified theory. We also verify in detail the predictions for the one instanton contribution to the metric coming from the non-linear integral equations of Gaiotto, Moore and Nietzke.

7.173331

6.310315

8.482835

6.801354

6.975031

6.436391

6.548021

6.266017

6.419404

8.239975

6.538645

6.374831

6.790713

6.628627

6.927682

6.867659

7.060332

6.653672

6.694284

7.064289

6.451922

0807.2508

Marcos Rosenbaum

Marcos Rosenbaum, J. David Vergara and L. Roman Juarez

Space-Time Diffeomorphisms in Noncommutative Gauge Theories

This is a contribution to the Special Issue on Deformation Quantization, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

SIGMA 4 (2008), 055, 21 pages

10.3842/SIGMA.2008.055

null

hep-th math-ph math.MP

http://creativecommons.org/licenses/by-nc-sa/3.0/

In previous work [Rosenbaum M. et al., J. Phys. A: Math. Theor. 40 (2007), 10367-10382, hep-th/0611160] we have shown how for canonical parametrized field theories, where space-time is placed on the same footing as the other fields in the theory, the representation of space-time diffeomorphisms provides a very convenient scheme for analyzing the induced twisted deformation of these diffeomorphisms, as a result of the space-time noncommutativity. However, for gauge field theories (and of course also for canonical geometrodynamics) where the Poisson brackets of the constraints explicitely depend on the embedding variables, this Poisson algebra cannot be connected directly with a representation of the complete Lie algebra of space-time diffeomorphisms, because not all the field variables turn out to have a dynamical character [Isham C.J., Kuchar K.V., Ann. Physics 164 (1985), 288-315, 316-333]. Nonetheless, such an homomorphic mapping can be recuperated by first modifying the original action and then adding additional constraints in the formalism in order to retrieve the original theory, as shown by Kuchar and Stone for the case of the parametrized Maxwell field in [Kuchar K.V., Stone S.L., Classical Quantum Gravity 4 (1987), 319-328]. Making use of a combination of all of these ideas, we are therefore able to apply our canonical reparametrization approach in order to derive the deformed Lie algebra of the noncommutative space-time diffeomorphisms as well as to consider how gauge transformations act on the twisted algebras of gauge and particle fields. Thus, hopefully, adding clarification on some outstanding issues in the literature concerning the symmetries for gauge theories in noncommutative space-times.

[ { "created": "Wed, 16 Jul 2008 07:38:33 GMT", "version": "v1" } ]

2008-07-17

[ [ "Rosenbaum", "Marcos", "" ], [ "Vergara", "J. David", "" ], [ "Juarez", "L. Roman", "" ] ]

In previous work [Rosenbaum M. et al., J. Phys. A: Math. Theor. 40 (2007), 10367-10382, hep-th/0611160] we have shown how for canonical parametrized field theories, where space-time is placed on the same footing as the other fields in the theory, the representation of space-time diffeomorphisms provides a very convenient scheme for analyzing the induced twisted deformation of these diffeomorphisms, as a result of the space-time noncommutativity. However, for gauge field theories (and of course also for canonical geometrodynamics) where the Poisson brackets of the constraints explicitely depend on the embedding variables, this Poisson algebra cannot be connected directly with a representation of the complete Lie algebra of space-time diffeomorphisms, because not all the field variables turn out to have a dynamical character [Isham C.J., Kuchar K.V., Ann. Physics 164 (1985), 288-315, 316-333]. Nonetheless, such an homomorphic mapping can be recuperated by first modifying the original action and then adding additional constraints in the formalism in order to retrieve the original theory, as shown by Kuchar and Stone for the case of the parametrized Maxwell field in [Kuchar K.V., Stone S.L., Classical Quantum Gravity 4 (1987), 319-328]. Making use of a combination of all of these ideas, we are therefore able to apply our canonical reparametrization approach in order to derive the deformed Lie algebra of the noncommutative space-time diffeomorphisms as well as to consider how gauge transformations act on the twisted algebras of gauge and particle fields. Thus, hopefully, adding clarification on some outstanding issues in the literature concerning the symmetries for gauge theories in noncommutative space-times.

6.914889

8.190499

8.092674

7.470868

9.023606

8.180558

8.684553

8.403006

8.406219

8.866401

7.968672

7.292731

7.300499

7.240071

7.037414

7.143764

7.205164

7.336409

7.274403

7.335836

7.145686

2002.11144

Giacomo Piccinini

Saskia Demulder, Falk Hassler, Giacomo Piccinini, and Daniel C. Thompson

Integrable deformation of $\mathbb{CP}^n$ and generalised Kaehler geometry

25 pages

J. High Energ. Phys. 2020, 86 (2020)

10.1007/JHEP10(2020)086

null

hep-th

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

We build on the results of arXiv:1912.11036 for generalised frame fields on generalised quotient spaces and study integrable deformations for $\mathbb{CP}^n$. In particular we show how, when the target space of the Principal Chiral Model is a complex projective space, a two-parameter deformation can be introduced in principle. The second parameter can however be removed via a diffeomorphism, which we construct explicitly, in accordance with the results stemming from a thorough integrability analysis we carry out. We also elucidate how the deformed target space can be seen as an instance of generalised Kaehler, or equivalently bi-Hermitian, geometry. In this respect, we find the generic form of the pure spinors for $\mathbb{CP}^n$ and the explicit expression for the generalised Kaehler potential for $n=1,2$.

[ { "created": "Tue, 25 Feb 2020 19:08:26 GMT", "version": "v1" }, { "created": "Tue, 20 Oct 2020 08:52:32 GMT", "version": "v2" } ]

2020-10-21

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

We build on the results of arXiv:1912.11036 for generalised frame fields on generalised quotient spaces and study integrable deformations for $\mathbb{CP}^n$. In particular we show how, when the target space of the Principal Chiral Model is a complex projective space, a two-parameter deformation can be introduced in principle. The second parameter can however be removed via a diffeomorphism, which we construct explicitly, in accordance with the results stemming from a thorough integrability analysis we carry out. We also elucidate how the deformed target space can be seen as an instance of generalised Kaehler, or equivalently bi-Hermitian, geometry. In this respect, we find the generic form of the pure spinors for $\mathbb{CP}^n$ and the explicit expression for the generalised Kaehler potential for $n=1,2$.

9.76534

9.37888

9.353557

9.201014

9.072318

8.915169

9.060691

8.948719

8.990851

9.774958

8.840926

8.998012

9.262037

8.979106

8.701335

8.992133

8.593376

9.134317

8.8691

9.297591

8.669458

1604.03705

Mihai Visinescu

Integrability of geodesics and action-angle variables in Sasaki-Einstein space $T^{1,1}$

13 pages; version to appear in EPJC

Eur. Phys. J. C 76 (2016) 498

10.1140/epjc/s10052-016-4348-6

null

hep-th math-ph math.MP

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

We briefly describe the construction of St\"{a}\-kel-Killing and Killing-Yano tensors on toric Sasaki-Einstein manifolds without working out intricate generalized Killing equations. The integrals of geodesic motions are expressed in terms of Killing vectors and Kill\-ing-Yano tensors of the homogeneous Sasaki-Einstein space $T^{1,1}$. We discuss the integrability of geodesics and construct explicitly the action-angle variables. Two pairs of frequencies of the geodesic motions are resonant giving way to chaotic behavior when the system is perturbed.

[ { "created": "Wed, 13 Apr 2016 09:46:36 GMT", "version": "v1" }, { "created": "Mon, 5 Sep 2016 11:21:51 GMT", "version": "v2" } ]

2016-10-03

[ [ "Visinescu", "Mihai", "" ] ]

We briefly describe the construction of St\"{a}\-kel-Killing and Killing-Yano tensors on toric Sasaki-Einstein manifolds without working out intricate generalized Killing equations. The integrals of geodesic motions are expressed in terms of Killing vectors and Kill\-ing-Yano tensors of the homogeneous Sasaki-Einstein space $T^{1,1}$. We discuss the integrability of geodesics and construct explicitly the action-angle variables. Two pairs of frequencies of the geodesic motions are resonant giving way to chaotic behavior when the system is perturbed.

12.091747

11.499746

12.748587

10.672472

10.839117

11.058619

12.111803

10.525552

11.045405

14.715484

10.842016

11.409476

12.253736

10.951818

10.826304

11.675734

11.523467

10.899302

11.335106

11.893826

10.9918

hep-th/9406048

Kim Milton

Carl M. Bender and Kimball A. Milton

Casimir effect for a $D$-dimensional sphere

22 pages, REVTeX, 4 uuencoded figures, OKHEP-94-05

Phys.Rev. D50 (1994) 6547-6555

10.1103/PhysRevD.50.6547

null

hep-th

null

The Casimir force on a $D$-dimensional sphere due to the confinement of a massless scalar field is computed as a function of $D$, where $D$ is a continuous variable that ranges from $-\infty$ to $\infty$. The dependence of the force on the dimension is obtained using a simple and straightforward Green's function technique. We find that the Casimir force vanishes as $D\to +\infty$ ($D$ non-even integer) and also vanishes when $D$ is a negative even integer. The force has simple poles at positive even integer values of $D$.

[ { "created": "Wed, 8 Jun 1994 09:47:29 GMT", "version": "v1" } ]

2009-10-28

[ [ "Bender", "Carl M.", "" ], [ "Milton", "Kimball A.", "" ] ]

The Casimir force on a $D$-dimensional sphere due to the confinement of a massless scalar field is computed as a function of $D$, where $D$ is a continuous variable that ranges from $-\infty$ to $\infty$. The dependence of the force on the dimension is obtained using a simple and straightforward Green's function technique. We find that the Casimir force vanishes as $D\to +\infty$ ($D$ non-even integer) and also vanishes when $D$ is a negative even integer. The force has simple poles at positive even integer values of $D$.

5.839772

5.561001

5.99941

5.267168

5.446695

5.681758

5.338367

5.273432

4.83406

6.32084

4.89371

5.023525

5.376391

5.015955

5.080717

4.921363

5.026232

5.068896

5.01064

5.422062

4.92117

hep-th/9208024

Faraggi Alon

Alon E. Faraggi (Weizmann Sceince Institute)

Construction of Realistic Standard--like Models in the Free Fermionic Superstring Formulation

28 pages

Nucl.Phys. B387 (1992) 239-262

10.1016/0550-3213(92)90160-D

WIS-92/16/FEB-PH

hep-th hep-ph

null

I discuss in detail the construction of realistic superstring standard--like models in the four dimensional free fermionic formulation. The analysis results in a restricted class of models with unique characteristics: (i) Three and only three generations of chiral fermions with their superpartners and the correct Standard Model quantum numbers. (ii) Proton decay from dimension four and dimension five operators is suppressed due to gauged $U(1)$ symmetries. (iii) There exist Higgs doublets from two distinct sectors, which can generate realistic symmetry breaking. (iv) These models explain the top--bottom mass hierarchy. At the trilinear level of the superpotential only the top quark gets a non vanishing mass term. The bottom quark and the lighter quarks and leptons get their mass terms from non renormalizable terms. This result is correlated with the requirement of a supersymmetric vacuum at the Planck scale. (v) The models predict the existence of small hidden gauge groups, like $SU(3)$, with matter spectrum in vector representations.

[ { "created": "Sun, 9 Aug 1992 15:23:00 GMT", "version": "v1" } ]

2009-10-22

[ [ "Faraggi", "Alon E.", "", "Weizmann Sceince Institute" ] ]

I discuss in detail the construction of realistic superstring standard--like models in the four dimensional free fermionic formulation. The analysis results in a restricted class of models with unique characteristics: (i) Three and only three generations of chiral fermions with their superpartners and the correct Standard Model quantum numbers. (ii) Proton decay from dimension four and dimension five operators is suppressed due to gauged $U(1)$ symmetries. (iii) There exist Higgs doublets from two distinct sectors, which can generate realistic symmetry breaking. (iv) These models explain the top--bottom mass hierarchy. At the trilinear level of the superpotential only the top quark gets a non vanishing mass term. The bottom quark and the lighter quarks and leptons get their mass terms from non renormalizable terms. This result is correlated with the requirement of a supersymmetric vacuum at the Planck scale. (v) The models predict the existence of small hidden gauge groups, like $SU(3)$, with matter spectrum in vector representations.

8.38097

8.33798

6.994609

6.888527

8.123049

8.94504

8.609926

7.965255

6.753665

8.068239

8.008481

7.79724

7.80171

7.774669

7.745625

7.990381

7.948385

8.023952

7.659845

7.95097

7.825267

1412.2577

Celio Muniz

C. R. Muniz, M. O. Tahim, G. D. Saraiva, M. S. Cunha

Vacuum polarization at the boundary of a topological insulator

7 pages, 1 figure. Minor corrections in the text and in the references. Title was changed. Final version to appear in Phys. Rev. D

Phys.Rev.D 92 (2015) 025035

10.1103/PhysRevD.92.025035

null

hep-th cond-mat.mes-hall

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

In this paper we study the polarized vacuum energy on the conducting surface of a topological insulator characterized by both $Z_2$ topological index and time reversal symmetry. This boundary is subject to the action of a static and spatially homogeneous magnetic field perpendicular to it as well as of an electric field that is uniform near the considered surface and produced by a biased voltage, at zero temperature. To do this, we consider modifications in the Gauss law that arise due to the nonzero gradient of the axionlike pseudoscalar factor coupled to the applied magnetic field, which accounts for the topological properties of the system. Such a term allows us to find a correction to the induced charges which modifies the quantum vacuum of the spinor field regarding an ordinary surface. The polarized vacuum energy is calculated in both the weak-field approximation and in the general case, and since the found energy depends on a length defined on the boundary, we show that there is a radial density of force or a surface shear stress that tends to shrink it.

[ { "created": "Mon, 8 Dec 2014 14:20:34 GMT", "version": "v1" }, { "created": "Thu, 16 Jul 2015 14:41:53 GMT", "version": "v2" }, { "created": "Sat, 18 Jul 2015 16:36:15 GMT", "version": "v3" } ]

2015-07-28

[ [ "Muniz", "C. R.", "" ], [ "Tahim", "M. O.", "" ], [ "Saraiva", "G. D.", "" ], [ "Cunha", "M. S.", "" ] ]

In this paper we study the polarized vacuum energy on the conducting surface of a topological insulator characterized by both $Z_2$ topological index and time reversal symmetry. This boundary is subject to the action of a static and spatially homogeneous magnetic field perpendicular to it as well as of an electric field that is uniform near the considered surface and produced by a biased voltage, at zero temperature. To do this, we consider modifications in the Gauss law that arise due to the nonzero gradient of the axionlike pseudoscalar factor coupled to the applied magnetic field, which accounts for the topological properties of the system. Such a term allows us to find a correction to the induced charges which modifies the quantum vacuum of the spinor field regarding an ordinary surface. The polarized vacuum energy is calculated in both the weak-field approximation and in the general case, and since the found energy depends on a length defined on the boundary, we show that there is a radial density of force or a surface shear stress that tends to shrink it.

14.301719

16.30887

13.808663

13.458631

14.503884

14.892953

16.019791

13.801685

13.647878

14.467918

14.221087

13.874992

13.763021

13.944177

14.430201

13.696836

14.218744

13.794313

14.119716

13.606359

14.008047

1807.08050

Malte F. Linder

Condensed-matter analogs of the Sauter--Schwinger effect

Dissertation, 250 pages. See also the articles arXiv:1505.05685 [hep-th] and arXiv:1503.07108 [cond-mat.mes-hall]

null

hep-th cond-mat.mes-hall

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

The Sauter--Schwinger effect predicts the creation of electron--positron pairs from the vacuum due to a quasiconstant electric field $E_{\mathrm{strong}}$. The pair-creation yield can be exponentially enhanced without destroying the tunneling-like nature of this mechanism by adding a weaker temporal Sauter pulse $E_{\mathrm{weak}}/\cosh^{2}(\omega t)$ with $\omega$ above a certain threshold $\omega_{\mathrm{crit}}$. In this original form of the so-called dynamically assisted Sauter--Schwinger effect, $\omega_{\mathrm{crit}}$ is independent of $E_{\mathrm{weak}}\ll E_{\mathrm{strong}}$. Via the semiclassical solution (contour integral) of the Riccati equation in 1+1 spacetime dimensions, we find that a Gaussian-shaped pulse $E_{\mathrm{weak}}\exp[-(\omega t)^{2}]$ assists tunneling in a similar way but with $\omega_{\mathrm{crit}}$ depending on $E_{\mathrm{weak}}$. This remarkable sensitivity to the pulse shape arises due to the different pole structures of the vector potentials for complex times. We also study dynamical assistance by an oscillation $E_{\mathrm{weak}}\cos(\omega t)$ as a model for counterpropagating laser beams and find another dependence $\omega_{\mathrm{crit}}(E_{\mathrm{weak}})$. The largeness of the Schwinger limit $E_{\mathrm{crit}}^{\mathrm{QED}}\approx 10^{18}\,\mathrm{V/m}$ has rendered the observation of this nonperturbative pair-creation mechanism impossible so far. In order to facilitate a better understanding of this effect and its dynamical assistance via experiments, we propose an analog of the many-body Dirac Hamiltonian in direct-bandgap semiconductors. The nonrelativistic Bloch-electron Hamiltonian is restricted to the valence and conduction bands in reciprocal space, which correspond to the two relativistic energy continua. Similar models have been considered before---but mainly for constant external fields. [...]

[ { "created": "Fri, 20 Jul 2018 22:59:18 GMT", "version": "v1" } ]

2018-07-24

[ [ "Linder", "Malte F.", "" ] ]

The Sauter--Schwinger effect predicts the creation of electron--positron pairs from the vacuum due to a quasiconstant electric field $E_{\mathrm{strong}}$. The pair-creation yield can be exponentially enhanced without destroying the tunneling-like nature of this mechanism by adding a weaker temporal Sauter pulse $E_{\mathrm{weak}}/\cosh^{2}(\omega t)$ with $\omega$ above a certain threshold $\omega_{\mathrm{crit}}$. In this original form of the so-called dynamically assisted Sauter--Schwinger effect, $\omega_{\mathrm{crit}}$ is independent of $E_{\mathrm{weak}}\ll E_{\mathrm{strong}}$. Via the semiclassical solution (contour integral) of the Riccati equation in 1+1 spacetime dimensions, we find that a Gaussian-shaped pulse $E_{\mathrm{weak}}\exp[-(\omega t)^{2}]$ assists tunneling in a similar way but with $\omega_{\mathrm{crit}}$ depending on $E_{\mathrm{weak}}$. This remarkable sensitivity to the pulse shape arises due to the different pole structures of the vector potentials for complex times. We also study dynamical assistance by an oscillation $E_{\mathrm{weak}}\cos(\omega t)$ as a model for counterpropagating laser beams and find another dependence $\omega_{\mathrm{crit}}(E_{\mathrm{weak}})$. The largeness of the Schwinger limit $E_{\mathrm{crit}}^{\mathrm{QED}}\approx 10^{18}\,\mathrm{V/m}$ has rendered the observation of this nonperturbative pair-creation mechanism impossible so far. In order to facilitate a better understanding of this effect and its dynamical assistance via experiments, we propose an analog of the many-body Dirac Hamiltonian in direct-bandgap semiconductors. The nonrelativistic Bloch-electron Hamiltonian is restricted to the valence and conduction bands in reciprocal space, which correspond to the two relativistic energy continua. Similar models have been considered before---but mainly for constant external fields. [...]

6.428863

6.675922

6.885112

6.230438

6.699354

6.507746

6.218193

6.175741

5.854949

6.719464

6.244742

6.412294

6.249018

6.271951

6.333306

6.250701

6.238093

6.249728

6.380153

6.113431

6.316989

1908.11582

Wolfgang M\"uck

Combinatorics of Wilson loops in $\mathcal{N}=4$ SYM theory

14 pages, v.2: added references, v.3: published version

JHEP11(2019)096

10.1007/JHEP11(2019)096

null

hep-th

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

The theory of Wilson loops for gauge theories with unitary gauge groups is formulated in the language of symmetric functions. The main objects in this theory are two generating functions, which are related to each other by the involution that exchanges an irreducible representation with its conjugate. Both of them contain all information about the Wilson loops in arbitrary representations as well as the correlators of multiply-wound Wilson loops. This general framework is combined with the results of the Gaussian matrix model, which calculates the expectation values of $1/2$-BPS circular Wilson loops in $\mathcal{N}=4$ Super-Yang-Mills theory. General, explicit, formulas for the connected correlators of multiply-wound Wilson loops in terms of the traces of symmetrized matrix products are obtained, as well as their inverses. It is shown that the generating functions for Wilson loops in mutually conjugate representations are related by a duality relation whenever they can be calculated by a Hermitian matrix model.

[ { "created": "Fri, 30 Aug 2019 08:07:17 GMT", "version": "v1" }, { "created": "Mon, 9 Sep 2019 12:13:52 GMT", "version": "v2" }, { "created": "Tue, 19 Nov 2019 07:46:21 GMT", "version": "v3" } ]

2019-11-20

[ [ "Mück", "Wolfgang", "" ] ]

The theory of Wilson loops for gauge theories with unitary gauge groups is formulated in the language of symmetric functions. The main objects in this theory are two generating functions, which are related to each other by the involution that exchanges an irreducible representation with its conjugate. Both of them contain all information about the Wilson loops in arbitrary representations as well as the correlators of multiply-wound Wilson loops. This general framework is combined with the results of the Gaussian matrix model, which calculates the expectation values of $1/2$-BPS circular Wilson loops in $\mathcal{N}=4$ Super-Yang-Mills theory. General, explicit, formulas for the connected correlators of multiply-wound Wilson loops in terms of the traces of symmetrized matrix products are obtained, as well as their inverses. It is shown that the generating functions for Wilson loops in mutually conjugate representations are related by a duality relation whenever they can be calculated by a Hermitian matrix model.

6.718428

6.663446

7.416853

6.399782

6.976424

6.9196

6.74091

6.549307

6.758296

8.126254

6.604455

6.493469

6.830114

6.558164

6.513562

6.361125

6.615251

6.573136

6.606167

7.005988

6.659477

hep-th/9501041

Manuel Torres Labansat

Manuel Torres

SEMILOCAL NONTOPOLOGICAL SOLITONS IN A CHERN-SIMONS THEORY.

23 pages, Latex file, 7 figures not included

Phys.Rev. D51 (1995) 4533-4542

10.1103/PhysRevD.51.4533

Preprint IFUNAM, FT95-70 Jan/95.

hep-th

null

We show the existence of self-dual semilocal nontopological vortices in a $\Phi^2$ Chern-Simons (C-S) theory. The model of scalar and gauge fields with a $SU(2)_{global} \times U(1)_{local}$ symmetry includes both the C-S term and an anomalous magnetic contribution. It is demonstrated here, that the vortices are stable or unstable according to whether the vector topological mass $\kappa$ is less than or greater than the mass $m$ of the scalar field. At the boundary, $\kappa = m$, there is a two-parameter family of solutions all saturating the self-dual limit. The vortex solutions continuously interpolates between a ring shaped structure and a flux tube configuration.

[ { "created": "Thu, 12 Jan 1995 17:13:06 GMT", "version": "v1" } ]

2016-09-06

[ [ "Torres", "Manuel", "" ] ]

We show the existence of self-dual semilocal nontopological vortices in a $\Phi^2$ Chern-Simons (C-S) theory. The model of scalar and gauge fields with a $SU(2)_{global} \times U(1)_{local}$ symmetry includes both the C-S term and an anomalous magnetic contribution. It is demonstrated here, that the vortices are stable or unstable according to whether the vector topological mass $\kappa$ is less than or greater than the mass $m$ of the scalar field. At the boundary, $\kappa = m$, there is a two-parameter family of solutions all saturating the self-dual limit. The vortex solutions continuously interpolates between a ring shaped structure and a flux tube configuration.

8.511

8.417722

7.935041

8.278195

7.780653

8.477019

8.165815

8.153452

7.809742

8.303843

8.000559

8.169729

8.211513

7.779653

7.914468

7.985713

8.005985

8.285405

7.986186

7.961847

7.819834

hep-th/9212008

Gentil Oliveira Pires

C. Pinheiro and G. O. Pires

Extending the Barnes-Rivers Operators to D=3 Topological Gravity

Latex 10 pages

null

hep-th

null

The spin-projector operators for symmetric rank-2 tensors are reassessed in connection with the issue of topologically massive gravity. The original proposal by Barnes and Rivers is generalised to account for D-dimensional Einstein gravity and 3-dimensional Chern-Simons massive gravitation.

[ { "created": "Tue, 1 Dec 1992 22:48:28 GMT", "version": "v1" } ]

2007-05-23

[ [ "Pinheiro", "C.", "" ], [ "Pires", "G. O.", "" ] ]

The spin-projector operators for symmetric rank-2 tensors are reassessed in connection with the issue of topologically massive gravity. The original proposal by Barnes and Rivers is generalised to account for D-dimensional Einstein gravity and 3-dimensional Chern-Simons massive gravitation.

32.672966

21.658594

25.05862

22.330547

25.592598

21.173645

28.409046

23.197741

25.697371

28.122246

24.946409

24.158588

23.88471

22.43088

23.103367

24.143755

24.042318

22.038015

23.423927

24.373407

22.707451

1802.09095

Anees Ahmed

Ginzburg-Landau Type Approach to the 1+1 Gross Neveu Model - Beyond Lowest Non-Trivial Order

12 figures, 17 pages

null

hep-th

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

This paper presents a case study of the effects of increasing the order of a Ginzburg-Landau type expansion, by using the well known Gross-Neveu model in 1+1 dimensions as a test case. It is found that as the order of expansion increases, the predicted phase diagram increasingly resembles the known exact phase diagram. Finally, some properties of arbitrary large order phase diagrams are examined.

[ { "created": "Sun, 25 Feb 2018 21:58:32 GMT", "version": "v1" }, { "created": "Thu, 29 Mar 2018 13:40:54 GMT", "version": "v2" }, { "created": "Fri, 30 Mar 2018 11:17:00 GMT", "version": "v3" } ]

2018-04-02

[ [ "Ahmed", "Anees", "" ] ]

This paper presents a case study of the effects of increasing the order of a Ginzburg-Landau type expansion, by using the well known Gross-Neveu model in 1+1 dimensions as a test case. It is found that as the order of expansion increases, the predicted phase diagram increasingly resembles the known exact phase diagram. Finally, some properties of arbitrary large order phase diagrams are examined.

8.488483

7.481767

7.718488

6.980297

8.039273

7.38986

7.957742

7.294548

6.767548

7.739453

7.694222

7.774181

7.418558

7.574677

7.380841

7.515403

7.196379

7.349776

7.501173

7.502535

7.864325

1902.01628

Ankur Srivastav

Ankur Srivastav, Sunandan Gangopadhyay

Analytic investigation of rotating holographic superconductors

20 pages Latex

Eur. Phys. J. C (2019) 79: 340

10.1140/epjc/s10052-019-6834-0

null

hep-th gr-qc

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

In this paper we have investigated, in the probe limit, $s$-wave holographic superconductors in rotating $AdS_{3+1}$ spacetime using the matching method as well as the St{\"u}rm-Liouville eigenvalue approach. We have calculated the critical temperature using the matching technique in such a setting and our results are in agreement with previously reported results obtained using the St{\"u}rm-Liouville approach. We have then obtained the condensation operators using both analytical methods. The results obtained by both these techniques share the same features as found numerically. We observe that the rotation parameter of the black hole affects the critical temperature and the condensation operator in a non-trivial way.

[ { "created": "Tue, 5 Feb 2019 10:15:33 GMT", "version": "v1" }, { "created": "Sat, 23 Feb 2019 14:03:47 GMT", "version": "v2" }, { "created": "Tue, 26 Mar 2019 11:20:41 GMT", "version": "v3" } ]

2019-04-19

[ [ "Srivastav", "Ankur", "" ], [ "Gangopadhyay", "Sunandan", "" ] ]

In this paper we have investigated, in the probe limit, $s$-wave holographic superconductors in rotating $AdS_{3+1}$ spacetime using the matching method as well as the St{\"u}rm-Liouville eigenvalue approach. We have calculated the critical temperature using the matching technique in such a setting and our results are in agreement with previously reported results obtained using the St{\"u}rm-Liouville approach. We have then obtained the condensation operators using both analytical methods. The results obtained by both these techniques share the same features as found numerically. We observe that the rotation parameter of the black hole affects the critical temperature and the condensation operator in a non-trivial way.

7.868599

6.104646

8.040937

6.269314

6.71837

6.083263

6.005311

6.106306

5.899057

8.98114

6.53085

6.437614

7.328744

6.748406

6.699663

6.575577

6.633571

6.663492

6.819192

7.220542

6.485198

1705.08950

Nemanja Kaloper

Guido D'Amico, Nemanja Kaloper, Antonio Padilla, David Stefanyszyn, Alexander Westphal, George Zahariade

An Etude on Global Vacuum Energy Sequester

18 pages LaTeX

null

10.1007/JHEP09(2017)074

CERN-TH-2017-115, DESY-17-080

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

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

Recently two of the authors proposed a mechanism of vacuum energy sequester as a means of protecting the observable cosmological constant from quantum radiative corrections. The original proposal was based on using global Lagrange multipliers, but later a local formulation was provided. Subsequently other interesting claims of a different non-local approach to the cosmological constant problem were made, based again on global Lagrange multipliers. We examine some of these proposals and find their mutual relationship. We explain that the proposals which do not treat the cosmological constant counterterm as a dynamical variable require fine tunings to have acceptable solutions. Furthermore, the counterterm often needs to be retuned at every order in the loop expansion to cancel the radiative corrections to the cosmological constant, just like in standard GR. These observations are an important reminder of just how the proposal of vacuum energy sequester avoids such problems.

[ { "created": "Wed, 24 May 2017 20:08:00 GMT", "version": "v1" } ]

2017-10-25

[ [ "D'Amico", "Guido", "" ], [ "Kaloper", "Nemanja", "" ], [ "Padilla", "Antonio", "" ], [ "Stefanyszyn", "David", "" ], [ "Westphal", "Alexander", "" ], [ "Zahariade", "George", "" ] ]

Recently two of the authors proposed a mechanism of vacuum energy sequester as a means of protecting the observable cosmological constant from quantum radiative corrections. The original proposal was based on using global Lagrange multipliers, but later a local formulation was provided. Subsequently other interesting claims of a different non-local approach to the cosmological constant problem were made, based again on global Lagrange multipliers. We examine some of these proposals and find their mutual relationship. We explain that the proposals which do not treat the cosmological constant counterterm as a dynamical variable require fine tunings to have acceptable solutions. Furthermore, the counterterm often needs to be retuned at every order in the loop expansion to cancel the radiative corrections to the cosmological constant, just like in standard GR. These observations are an important reminder of just how the proposal of vacuum energy sequester avoids such problems.

12.395849

13.527432

12.595538

11.528205

13.18757

12.034422

12.066404

11.570061

12.670436

13.283246

11.235368

11.588243

11.347198

11.502411

11.141423

11.4855

11.160571

11.484988

11.750829

11.085723

11.486823

hep-th/0008059

Stuart Dowker

Marcelo De Francia, Klaus Kirsten and J.S.Dowker

Effective actions on squashed lens spaces

16 pages, JyTeX

Class.Quant.Grav. 18 (2001) 955-968

10.1088/0264-9381/18/6/301

MUTP/2000/

hep-th

null

As a technical exercise with possible relevance to the holographic principle and string theory, the effective actions (functional determinants) for scalars and spinors on the squashed three-sphere identified under the action of a cyclic group, Z_m, are determined. Especially in the extreme oblate squashing limit, which has a thermodynamic interpretation, the high temperature behaviour is found as a function of m. Although the intermediate details for odd and even m are different, the final answers are the same. A thermodynamic interpretation for spinors is possible only for twisted periodicity conditions and m even.

[ { "created": "Mon, 7 Aug 2000 11:38:41 GMT", "version": "v1" } ]

2009-10-31

[ [ "De Francia", "Marcelo", "" ], [ "Kirsten", "Klaus", "" ], [ "Dowker", "J. S.", "" ] ]

As a technical exercise with possible relevance to the holographic principle and string theory, the effective actions (functional determinants) for scalars and spinors on the squashed three-sphere identified under the action of a cyclic group, Z_m, are determined. Especially in the extreme oblate squashing limit, which has a thermodynamic interpretation, the high temperature behaviour is found as a function of m. Although the intermediate details for odd and even m are different, the final answers are the same. A thermodynamic interpretation for spinors is possible only for twisted periodicity conditions and m even.

16.795895

16.221052

16.499676

13.904509

15.292195

14.803865

13.565385

15.386874

13.697649

17.498327

14.884739

14.071158

14.91857

14.458281

14.406184

13.74771

13.652186

14.151161

14.238722

15.768312

14.146231

hep-th/9806188

Pedro. Silva

Pedro J. Silva

On the relation of Matrix theory and Maldacena conjecture

9 pages, 1 figure, Latex, Bibtex

null

NCL-TP1

hep-th

null

We report a sign that M(atrix) theory conjecture and the Maldacena conjecture for the case of D0-branes are compatible. Furthermore Maldacena point of view implies a restriction of range of validity in the DLCQ version of M(atrix) theory. The analysis is based on the uplift of type IIA supersymetric solution in the Maldacena approach to eleven dimensions, using a boost as a main tool. The relation is explored on both, IMF and DLCF versions of M(atrix) theory

[ { "created": "Tue, 23 Jun 1998 02:52:25 GMT", "version": "v1" } ]

2007-05-23

[ [ "Silva", "Pedro J.", "" ] ]

We report a sign that M(atrix) theory conjecture and the Maldacena conjecture for the case of D0-branes are compatible. Furthermore Maldacena point of view implies a restriction of range of validity in the DLCQ version of M(atrix) theory. The analysis is based on the uplift of type IIA supersymetric solution in the Maldacena approach to eleven dimensions, using a boost as a main tool. The relation is explored on both, IMF and DLCF versions of M(atrix) theory

17.17894

14.745405

19.596498

14.629264

14.968677

16.508844

15.467606

15.010362

15.80279

18.752983

14.391887

14.94425

17.847332

15.925672

15.692406

14.939266

15.290964

15.114963

16.560877

18.416683

15.34447

hep-th/0511082

Niklas Beisert

The su(2|2) Dynamic S-Matrix

29 pages. v2: references added, minor corrections. v3: form of terms in table 1 improved, minor corrections, v4: missed to correct (D.3) in v3, footnote and reference added

Adv.Theor.Math.Phys.12:945,2008

10.4310/ATMP.2008.v12.n5.a1

PUTP-2181, NSF-KITP-05-92

hep-th

null

We derive and investigate the S-matrix for the su(2|3) dynamic spin chain and for planar N=4 super Yang-Mills. Due to the large amount of residual symmetry in the excitation picture, the S-matrix turns out to be fully constrained up to an overall phase. We carry on by diagonalising it and obtain Bethe equations for periodic states. This proves an earlier proposal for the asymptotic Bethe equations for the su(2|3) dynamic spin chain and for N=4 SYM.

[ { "created": "Mon, 7 Nov 2005 19:15:20 GMT", "version": "v1" }, { "created": "Wed, 16 Nov 2005 19:54:08 GMT", "version": "v2" }, { "created": "Mon, 18 Sep 2006 19:00:26 GMT", "version": "v3" }, { "created": "Tue, 19 Sep 2006 16:40:43 GMT", "version": "v4" } ]

2014-01-29

[ [ "Beisert", "Niklas", "" ] ]

We derive and investigate the S-matrix for the su(2|3) dynamic spin chain and for planar N=4 super Yang-Mills. Due to the large amount of residual symmetry in the excitation picture, the S-matrix turns out to be fully constrained up to an overall phase. We carry on by diagonalising it and obtain Bethe equations for periodic states. This proves an earlier proposal for the asymptotic Bethe equations for the su(2|3) dynamic spin chain and for N=4 SYM.

9.427574

10.021398

10.306495

8.549524

9.251984

8.873061

8.171971

9.61714

8.446377

10.517357

8.118006

8.437191

9.201567

8.891437

8.567783

8.549761

8.6166

8.782235

8.598323

9.276592

8.456527

1404.2636

Cyril Closset

Cyril Closset and Stefano Cremonesi

Comments on N=(2,2) Supersymmetry on Two-Manifolds

38 pages+appendix; v2: new section 6.10 on NLSM Lagrangians; v3: corrected typos and added references

null

10.1007/JHEP07(2014)075

null

hep-th

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

We study curved-space rigid supersymmetry for two-dimensional $\mathcal{N}=(2,2)$ supersymmetric fields theories with a vector-like $R$-symmetry by coupling such theories to background supergravity. The associated Killing spinors can be viewed as holomorphic sections of particular complex line bundles over Euclidean space-time, which severely restrict the allowed supersymmetric couplings on compact orientable Riemann surfaces without boundaries. For genus $g>1$, the only consistent non-singular couplings are the ones dictated by the topological $A$-twist. On spaces with $S^2$ topology, there exist additional supersymmetric backgrounds with $m=0$ or $\pm 1$ unit of flux for the $R$-symmetry gauge field. The $m=-1$ case includes the $\Omega$-background on the sphere. We also systematically work out the curved-space supersymmetry multiplets and supersymmetric Lagrangians.

[ { "created": "Wed, 9 Apr 2014 21:33:01 GMT", "version": "v1" }, { "created": "Sun, 1 Jun 2014 18:11:19 GMT", "version": "v2" }, { "created": "Tue, 1 Jul 2014 13:53:08 GMT", "version": "v3" } ]

2015-06-19

[ [ "Closset", "Cyril", "" ], [ "Cremonesi", "Stefano", "" ] ]

We study curved-space rigid supersymmetry for two-dimensional $\mathcal{N}=(2,2)$ supersymmetric fields theories with a vector-like $R$-symmetry by coupling such theories to background supergravity. The associated Killing spinors can be viewed as holomorphic sections of particular complex line bundles over Euclidean space-time, which severely restrict the allowed supersymmetric couplings on compact orientable Riemann surfaces without boundaries. For genus $g>1$, the only consistent non-singular couplings are the ones dictated by the topological $A$-twist. On spaces with $S^2$ topology, there exist additional supersymmetric backgrounds with $m=0$ or $\pm 1$ unit of flux for the $R$-symmetry gauge field. The $m=-1$ case includes the $\Omega$-background on the sphere. We also systematically work out the curved-space supersymmetry multiplets and supersymmetric Lagrangians.

8.362883

8.578757

9.047721

7.680205

7.858533

8.175284

8.035835

7.612001

7.762943

9.616122

7.4008

7.588562

8.250197

7.85908

7.88936

7.60559

7.481616

7.520246

7.706919

8.473859

7.66091

hep-th/0507089

Annamaria Sinkovics

Lilia Anguelova, Paul de Medeiros and Annamaria Sinkovics

Topological membrane theory from Mathai-Quillen formalism

36 pages

Adv.Theor.Math.Phys. 10 (2006) 713-745

null

MCTP-05-85, ITFA-2005-28

hep-th

null

It is suggested that topological membranes play a fundamental role in the recently proposed topological M-theory. We formulate a topological theory of membranes wrapping associative three-cycles in a seven-dimensional target space with G_2 holonomy. The topological BRST rules and BRST invariant action are constructed via the Mathai-Quillen formalism. In a certain gauge we show this theory to be equivalent to a membrane theory with two BRST charges found by Beasley and Witten. We argue that at the quantum level an additional topological term should be included in the action, which measures the contributions of membrane instantons. We construct a set of local and non-local observables for the topological membrane theory. As the BRST cohomology of local operators turns out to be isomorphic to the de Rham cohomology of the G_2 manifold, our observables agree with the spectrum of d=4, N=1 G_2 compactifications of M-theory.

[ { "created": "Fri, 8 Jul 2005 18:24:42 GMT", "version": "v1" }, { "created": "Wed, 21 Sep 2005 19:10:19 GMT", "version": "v2" } ]

2007-05-23

[ [ "Anguelova", "Lilia", "" ], [ "de Medeiros", "Paul", "" ], [ "Sinkovics", "Annamaria", "" ] ]

It is suggested that topological membranes play a fundamental role in the recently proposed topological M-theory. We formulate a topological theory of membranes wrapping associative three-cycles in a seven-dimensional target space with G_2 holonomy. The topological BRST rules and BRST invariant action are constructed via the Mathai-Quillen formalism. In a certain gauge we show this theory to be equivalent to a membrane theory with two BRST charges found by Beasley and Witten. We argue that at the quantum level an additional topological term should be included in the action, which measures the contributions of membrane instantons. We construct a set of local and non-local observables for the topological membrane theory. As the BRST cohomology of local operators turns out to be isomorphic to the de Rham cohomology of the G_2 manifold, our observables agree with the spectrum of d=4, N=1 G_2 compactifications of M-theory.

7.620759

7.05792

8.574864

6.735486

6.992452

6.819024

6.54051

6.764927

7.495197

8.135118

6.715355

7.139556

7.721586

7.022444

7.04053

7.189612

7.120365

7.132226

6.994341

7.678524

7.112832

hep-th/9211047

Maximilian Kreuzer

Maximilian Kreuzer and Harald Skarke

All Abelian Symmetries of Landau-Ginzburg Potentials

21 pages, LaTeX, CERN-TH.6705/92

Nucl.Phys. B405 (1993) 305-325

10.1016/0550-3213(93)90549-5

null

hep-th

null

We present an algorithm for determining all inequivalent abelian symmetries of non-degenerate quasi-homogeneous polynomials and apply it to the recently constructed complete set of Landau--Ginzburg potentials for $N=2$ superconformal field theories with $c=9$. A complete calculation of the resulting orbifolds without torsion increases the number of known spectra by about one third. The mirror symmetry of these spectra, however, remains at the same low level as for untwisted Landau--Ginzburg models. This happens in spite of the fact that the subclass of potentials for which the Berglund--H\"ubsch construction works features perfect mirror symmetry. We also make first steps into the space of orbifolds with $\ZZ_2$ torsions by including extra trivial fields.

[ { "created": "Wed, 11 Nov 1992 12:07:30 GMT", "version": "v1" }, { "created": "Fri, 20 Nov 1992 17:41:31 GMT", "version": "v2" } ]

2009-10-22

[ [ "Kreuzer", "Maximilian", "" ], [ "Skarke", "Harald", "" ] ]

We present an algorithm for determining all inequivalent abelian symmetries of non-degenerate quasi-homogeneous polynomials and apply it to the recently constructed complete set of Landau--Ginzburg potentials for $N=2$ superconformal field theories with $c=9$. A complete calculation of the resulting orbifolds without torsion increases the number of known spectra by about one third. The mirror symmetry of these spectra, however, remains at the same low level as for untwisted Landau--Ginzburg models. This happens in spite of the fact that the subclass of potentials for which the Berglund--H\"ubsch construction works features perfect mirror symmetry. We also make first steps into the space of orbifolds with $\ZZ_2$ torsions by including extra trivial fields.

10.779341

9.124403

11.633062

9.629098

10.897962

9.305198

10.088346

10.056936

9.543355

12.534778

10.026402

9.660164

10.64941

9.744466

9.763431

9.852302

9.656472

9.610296

9.952683

10.338414

9.633939

hep-th/9705046

Savdeep Sethi

Savdeep Sethi and Mark Stern

D-Brane Bound States Redux

42 pages, harvmac; references altered and a typo is corrected

Commun.Math.Phys. 194 (1998) 675-705

10.1007/s002200050374

IASSNS-HEP-97/45, DUK-M-97/5

hep-th dg-ga math.DG

null

We study the existence of D-brane bound states at threshold in Type II string theories. In a number of situations, we can reduce the question of existence to quadrature, and the study of a particular limit of the propagator for the system of D-branes. This involves a derivation of an index theorem for a family of non-Fredholm operators. In support of the conjectured relation between compactified eleven-dimensional supergravity and Type IIA string theory, we show that a bound state exists for two coincident zero-branes. This result also provides support for the conjectured description of M-theory as a matrix model. In addition, we provide further evidence that there are no BPS bound states for two and three-branes twice wrapped on Calabi-Yau vanishing cycles.

[ { "created": "Thu, 8 May 1997 19:19:14 GMT", "version": "v1" }, { "created": "Fri, 23 May 1997 20:06:51 GMT", "version": "v2" }, { "created": "Wed, 12 Nov 1997 22:22:16 GMT", "version": "v3" } ]

2009-10-30

[ [ "Sethi", "Savdeep", "" ], [ "Stern", "Mark", "" ] ]

We study the existence of D-brane bound states at threshold in Type II string theories. In a number of situations, we can reduce the question of existence to quadrature, and the study of a particular limit of the propagator for the system of D-branes. This involves a derivation of an index theorem for a family of non-Fredholm operators. In support of the conjectured relation between compactified eleven-dimensional supergravity and Type IIA string theory, we show that a bound state exists for two coincident zero-branes. This result also provides support for the conjectured description of M-theory as a matrix model. In addition, we provide further evidence that there are no BPS bound states for two and three-branes twice wrapped on Calabi-Yau vanishing cycles.

9.237498

9.564461

10.088283

9.207547

9.073278

9.260079

9.467281

9.467521

9.540622

10.572969

9.122581

9.127433

9.591796

9.158674

9.111612

9.314927

8.959854

8.944023

8.979433

9.636425

9.046717

hep-th/9903143

W. A. Sabra

Anti-De Sitter BPS Black Holes in N=2 Gauged Supergravity

12 pages Latex. To mark the rebirth of College Hall at AUB and its hosting of CAMS

Phys.Lett. B458 (1999) 36-42

10.1016/S0370-2693(99)00564-X

CAMS/99-02

hep-th

null

Electrically charged solutions breaking half of the supersymmetry in Anti-De Sitter four dimensional N=2 supergravity coupled to vector supermultiplets are constructed. These static black holes live in an asymptotic $AdS_4$ space-time. The Killing spinor, i. e., the spinor for supersymmetry variation is explicitly constructed for these solutions.

[ { "created": "Tue, 16 Mar 1999 17:03:23 GMT", "version": "v1" } ]

2009-10-31

[ [ "Sabra", "W. A.", "" ] ]

Electrically charged solutions breaking half of the supersymmetry in Anti-De Sitter four dimensional N=2 supergravity coupled to vector supermultiplets are constructed. These static black holes live in an asymptotic $AdS_4$ space-time. The Killing spinor, i. e., the spinor for supersymmetry variation is explicitly constructed for these solutions.

11.102428

9.105534

10.668343

8.857133

9.169634

9.307736

8.41858

8.471093

7.847361

13.393325

9.433765

9.321521

10.117224

9.40585

9.571834

9.528815

9.757938

9.365528

8.998453

11.455256

9.573304

1107.3647

Hernan Gonzalez

Hernan A. Gonzalez, David Tempo, Ricardo Troncoso

Field theories with anisotropic scaling in 2D, solitons and the microscopic entropy of asymptotically Lifshitz black holes

17 pages, no figures, references corrected and updated

null

10.1007/JHEP11(2011)066

CECS-PHY-11/07

hep-th gr-qc

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

Field theories with anisotropic scaling in 1+1 dimensions are considered. It is shown that the isomorphism between Lifshitz algebras with dynamical exponents z and 1/z naturally leads to a duality between low and high temperature regimes. Assuming the existence of gap in the spectrum, this duality allows to obtain a precise formula for the asymptotic growth of the number of states with a fixed energy which depends on z and the energy of the ground state, and reduces to the Cardy formula for z=1. The holographic realization of the duality can be naturally inferred from the fact that Euclidean Lifshitz spaces in three dimensions with dynamical exponents and characteristic lengths given by z, l, and 1/z, l/z, respectively, are diffeomorphic. The semiclassical entropy of black holes with Lifshitz asymptotics can then be recovered from the generalization of Cardy formula, where the ground state corresponds to a soliton. An explicit example is provided by the existence of a purely gravitational soliton solution for BHT massive gravity, which precisely has the required energy that reproduces the entropy of the analytic asymptotically Lifshitz black hole with z=3. Remarkably, neither the asymptotic symmetries nor central charges were explicitly used in order to obtain these results.

[ { "created": "Tue, 19 Jul 2011 08:28:44 GMT", "version": "v1" }, { "created": "Fri, 22 Jul 2011 00:26:04 GMT", "version": "v2" } ]

2015-05-28

[ [ "Gonzalez", "Hernan A.", "" ], [ "Tempo", "David", "" ], [ "Troncoso", "Ricardo", "" ] ]

Field theories with anisotropic scaling in 1+1 dimensions are considered. It is shown that the isomorphism between Lifshitz algebras with dynamical exponents z and 1/z naturally leads to a duality between low and high temperature regimes. Assuming the existence of gap in the spectrum, this duality allows to obtain a precise formula for the asymptotic growth of the number of states with a fixed energy which depends on z and the energy of the ground state, and reduces to the Cardy formula for z=1. The holographic realization of the duality can be naturally inferred from the fact that Euclidean Lifshitz spaces in three dimensions with dynamical exponents and characteristic lengths given by z, l, and 1/z, l/z, respectively, are diffeomorphic. The semiclassical entropy of black holes with Lifshitz asymptotics can then be recovered from the generalization of Cardy formula, where the ground state corresponds to a soliton. An explicit example is provided by the existence of a purely gravitational soliton solution for BHT massive gravity, which precisely has the required energy that reproduces the entropy of the analytic asymptotically Lifshitz black hole with z=3. Remarkably, neither the asymptotic symmetries nor central charges were explicitly used in order to obtain these results.

7.819265

7.701066

8.291509

7.799448

8.106059

7.927083

7.748915

7.403225

7.633098

8.176428

7.120726

6.930633

7.695477

7.344028

7.116414

7.090883

7.160798

7.254587

7.274638

7.716924

7.123578

1711.10799

Masazumi Honda

Masazumi Honda and Daisuke Yokoyama

Resumming perturbative series in the presence of monopole bubbling effects

8 pages

Phys. Rev. D 100, 025012 (2019)

10.1103/PhysRevD.100.025012

null

hep-th cond-mat.str-el hep-ph math-ph math.MP

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

Monopole bubbling effect is screening of magnetic charges of singular Dirac monopoles by regular 't Hooft-Polyakov monopoles. We study properties of weak coupling perturbative series in the presence of monopole bubbling effects as well as instantons. For this purpose, we analyze supersymmetric 't Hooft loop in four dimensional $\mathcal{N}=2$ supersymmetric gauge theories with Lagrangians and non-positive beta functions. We show that the perturbative series of the 't Hooft loop is Borel summable along positive real axis for fixed instanton numbers and screened magnetic charges. It turns out that the exact result of the 't Hooft loop is the same as the sum of the Borel resummations over instanton numbers and effective magnetic charges. We also obtain the same result for supersymmetric dyonic loops.

[ { "created": "Wed, 29 Nov 2017 11:51:27 GMT", "version": "v1" } ]

2019-07-31

[ [ "Honda", "Masazumi", "" ], [ "Yokoyama", "Daisuke", "" ] ]

Monopole bubbling effect is screening of magnetic charges of singular Dirac monopoles by regular 't Hooft-Polyakov monopoles. We study properties of weak coupling perturbative series in the presence of monopole bubbling effects as well as instantons. For this purpose, we analyze supersymmetric 't Hooft loop in four dimensional $\mathcal{N}=2$ supersymmetric gauge theories with Lagrangians and non-positive beta functions. We show that the perturbative series of the 't Hooft loop is Borel summable along positive real axis for fixed instanton numbers and screened magnetic charges. It turns out that the exact result of the 't Hooft loop is the same as the sum of the Borel resummations over instanton numbers and effective magnetic charges. We also obtain the same result for supersymmetric dyonic loops.

6.697631

5.945642

7.417132

6.322588

6.254337

6.500518

5.961125

6.089906

6.234216

7.648157

6.269806

6.041044

6.427014

6.185584

6.122215

6.069521

6.138749

6.207263

6.189831

6.551035

6.146237

1105.2231

Andrei Mikhailov

Finite dimensional vertex

LaTeX 48pp; v2: added explanations, small corrections, reference

null

10.1007/JHEP12(2011)005

null

hep-th

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

The spectrum of linearized excitations of the Type IIB SUGRA on AdS5xS5 contains both unitary and non-unitary representations. Among the non-unitary, some are finite-dimensional. We explicitly construct the pure spinor vertex operators for a family of such finite-dimensional representations. The construction can also be applied to infinite-dimensional representations, including unitary, although it becomes in this case somewhat less explicit.

[ { "created": "Wed, 11 May 2011 16:02:02 GMT", "version": "v1" }, { "created": "Fri, 18 Nov 2011 18:25:26 GMT", "version": "v2" } ]

2015-05-28

[ [ "Mikhailov", "Andrei", "" ] ]

The spectrum of linearized excitations of the Type IIB SUGRA on AdS5xS5 contains both unitary and non-unitary representations. Among the non-unitary, some are finite-dimensional. We explicitly construct the pure spinor vertex operators for a family of such finite-dimensional representations. The construction can also be applied to infinite-dimensional representations, including unitary, although it becomes in this case somewhat less explicit.

9.745502

8.214266

9.849531

7.488545

7.36649

8.748526

7.973446

7.833876

7.465518

10.386972

7.441209

7.894861

9.228713

8.145142

8.076039

7.81053

7.895184

8.028872

7.983856

9.173432

7.916208

hep-th/9304067

null

A.P. Balachandran and P. Teotonio-Sobrinho

Vertex Operators for the BF System and its Spin-Statistics Theorems

Latex, 64 pages, SU-4240-516 (plus 1 uuencoded compressed tar file with the figures) Figures corrected

Int. J. Mod. Phys. A9 (1994) 1569-1630

10.1142/S0217751X94000704

null

hep-th

null

Let $B$ and $F=\frac 12F_{\mu \nu}dx^\mu \wedge dx^\nu $ be two forms, $F_{\mu \nu}$ being the field strength of an abelian connection $A$. The topological $BF$ system is given by the integral of $B\wedge F$. With "kinetic energy'' terms added for $B$ and $A$, it generates a mass for $A$ thereby suggesting an alternative to the Higgs mechanism, and also gives the London equations. The $BF$ action, being the large length and time scale limit of this augmented action, is thus of physical interest. In earlier work, it has been studied on spatial manifold $\Sigma $ with boundaries $\partial \Sigma $, and the existence of edge states localised at $\partial \Sigma $ has been established. They are analogous to the conformal family of edge states to be found in a Chern-Simons theory in a disc. Here we introduce charges and vortices (thin flux tubes) as sources in the $BF$ system and show that they acquire an infinite number of spin excitations due to renormalization, just as a charge coupled to a Chern-Simons potential acquires a conformal family of spin excitations. For a vortex, these spins are transverse and attached to each of its points, so that it resembles a ribbon. Vertex operators for the creatin of these sources are constructed and interpreted in terms of a Wilson integral involving $A$ and a similar integral involving $B$. The standard spin-statistics theorem is proved for this sources. A new spin-statistics theorem, showing the equality of the ``interchange'' of two identical vortex loops and $2\pi $ rotation of the transverse spins of a constituent vortex, is established. Aharonov-Bohm interactions of charges and vortices are studied. The existence of topologically nontrivial vortex spins is pointed out and their vertex

[ { "created": "Fri, 16 Apr 1993 23:30:00 GMT", "version": "v1" }, { "created": "Thu, 22 Apr 1993 02:38:00 GMT", "version": "v2" } ]

2009-10-22

[ [ "Balachandran", "A. P.", "" ], [ "Teotonio-Sobrinho", "P.", "" ] ]

Let $B$ and $F=\frac 12F_{\mu \nu}dx^\mu \wedge dx^\nu $ be two forms, $F_{\mu \nu}$ being the field strength of an abelian connection $A$. The topological $BF$ system is given by the integral of $B\wedge F$. With "kinetic energy'' terms added for $B$ and $A$, it generates a mass for $A$ thereby suggesting an alternative to the Higgs mechanism, and also gives the London equations. The $BF$ action, being the large length and time scale limit of this augmented action, is thus of physical interest. In earlier work, it has been studied on spatial manifold $\Sigma $ with boundaries $\partial \Sigma $, and the existence of edge states localised at $\partial \Sigma $ has been established. They are analogous to the conformal family of edge states to be found in a Chern-Simons theory in a disc. Here we introduce charges and vortices (thin flux tubes) as sources in the $BF$ system and show that they acquire an infinite number of spin excitations due to renormalization, just as a charge coupled to a Chern-Simons potential acquires a conformal family of spin excitations. For a vortex, these spins are transverse and attached to each of its points, so that it resembles a ribbon. Vertex operators for the creatin of these sources are constructed and interpreted in terms of a Wilson integral involving $A$ and a similar integral involving $B$. The standard spin-statistics theorem is proved for this sources. A new spin-statistics theorem, showing the equality of the ``interchange'' of two identical vortex loops and $2\pi $ rotation of the transverse spins of a constituent vortex, is established. Aharonov-Bohm interactions of charges and vortices are studied. The existence of topologically nontrivial vortex spins is pointed out and their vertex

11.019048

11.274823

11.489217

10.558327

10.951378

10.916983

11.295486

11.020203

10.352901

12.613262

11.119756

10.743959

10.612342

10.633675

10.628463

10.568151

10.677612

10.73867

10.550365

10.789549

10.602799

hep-th/9204101

Dany

Daniel Cangemi and Choonkyu Lee

Self-Dual Chern-Simons Solitons in (2+1)-Dimensional Einstein Gravity

null

Phys.Rev. D46 (1992) 4768-4771

10.1103/PhysRevD.46.4768

null

hep-th

null

We consider here a generalization of the Abelian Higgs model in curved space, by adding a Chern--Simons term. The static equations are self-dual provided we choose a suitable potential. The solutions give a self-dual Maxwell--Chern--Simons soliton that possesses a mass and a spin.

[ { "created": "Thu, 30 Apr 1992 13:25:42 GMT", "version": "v1" } ]

2009-10-22

[ [ "Cangemi", "Daniel", "" ], [ "Lee", "Choonkyu", "" ] ]

We consider here a generalization of the Abelian Higgs model in curved space, by adding a Chern--Simons term. The static equations are self-dual provided we choose a suitable potential. The solutions give a self-dual Maxwell--Chern--Simons soliton that possesses a mass and a spin.

11.861559

8.968945

11.791044

9.150188

9.150155

8.965212

9.106311

9.204827

9.275128

10.212581

9.254113

9.76911

10.286487

9.540416

9.329565

9.496114

9.420642

9.752833

9.732179

10.007428

9.467783

1712.07795

Prashant Shrivastava

Ira Z. Rothstein and Prashant Shrivastava

Symmetry Realization via a Dynamical Inverse Higgs Mechanism

Added a new result for the beta function for the UV theory of unitary fermions

J. High Energ. Phys. (2018) 2018: 14

10.1007/JHEP05(2018)014

null

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

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

The Ward identities associated with spontaneously broken symmetries can be saturated by Goldstone bosons. However, when space-time symmetries are broken, the number of Goldstone bosons necessary to non-linearly realize the symmetry can be less than the number of broken generators. The loss of Goldstones may be due to a redundancy or the generation of a gap. This phenomena is called an Inverse Higgs Mechanism (IHM). However, there are cases when a Goldstone boson associated with a broken generator does not appear in the low energy theory despite the lack of the existence of an associated IHM. In this paper we will show that in such cases the relevant broken symmetry can be realized, without the aid of an associated Goldstone, if there exists a proper set of operator constraints, which we call a Dynamical Inverse Higgs Mechanism (DIHM). We consider the spontaneous breaking of boosts, rotations and conformal transformations in the context of Fermi liquids, finding three possible paths to symmetry realization: pure Goldstones, no Goldstones and DIHM, or some mixture thereof. We show that in the two dimensional degenerate electron system the DIHM route is the only consistent way to realize spontaneously broken boosts and dilatations, while in three dimensions these symmetries could just as well be realized via the inclusion of non-derivatively coupled Goldstone bosons. We have present the action, including the leading order non-linearities, for the rotational Goldstone (angulon), and discuss the constraint associated with the possible DIHM that would need to be imposed to remove it from the spectrum. Finally we discuss the conditions under which Goldstone bosons are non-derivatively coupled, a necessary condition for the existence of a Dynamical Inverse Higgs Constraint (DIHC), generalizaing the results for Vishwanath and Wantanabe.

[ { "created": "Thu, 21 Dec 2017 05:22:08 GMT", "version": "v1" }, { "created": "Fri, 13 Apr 2018 15:46:14 GMT", "version": "v2" } ]

2018-05-11

[ [ "Rothstein", "Ira Z.", "" ], [ "Shrivastava", "Prashant", "" ] ]

The Ward identities associated with spontaneously broken symmetries can be saturated by Goldstone bosons. However, when space-time symmetries are broken, the number of Goldstone bosons necessary to non-linearly realize the symmetry can be less than the number of broken generators. The loss of Goldstones may be due to a redundancy or the generation of a gap. This phenomena is called an Inverse Higgs Mechanism (IHM). However, there are cases when a Goldstone boson associated with a broken generator does not appear in the low energy theory despite the lack of the existence of an associated IHM. In this paper we will show that in such cases the relevant broken symmetry can be realized, without the aid of an associated Goldstone, if there exists a proper set of operator constraints, which we call a Dynamical Inverse Higgs Mechanism (DIHM). We consider the spontaneous breaking of boosts, rotations and conformal transformations in the context of Fermi liquids, finding three possible paths to symmetry realization: pure Goldstones, no Goldstones and DIHM, or some mixture thereof. We show that in the two dimensional degenerate electron system the DIHM route is the only consistent way to realize spontaneously broken boosts and dilatations, while in three dimensions these symmetries could just as well be realized via the inclusion of non-derivatively coupled Goldstone bosons. We have present the action, including the leading order non-linearities, for the rotational Goldstone (angulon), and discuss the constraint associated with the possible DIHM that would need to be imposed to remove it from the spectrum. Finally we discuss the conditions under which Goldstone bosons are non-derivatively coupled, a necessary condition for the existence of a Dynamical Inverse Higgs Constraint (DIHC), generalizaing the results for Vishwanath and Wantanabe.

8.257218

8.976239

9.131042

8.295959

8.78075

9.116784

8.887528

8.742644

8.533724

9.803322

8.349966

8.195357

8.255411

8.034757

8.149932

8.092127

8.218395

8.142486

8.151413

8.295604

8.09471

hep-th/9205051

null

Ramzi R. Khuri

A Multimonopole Solution in String Theory

10 pages

Phys.Lett. B294 (1992) 325-330

10.1016/0370-2693(92)91528-H

null

hep-th

null

A multimonopole solution in Yang-Mills field theory is obtained by a modification of the 't Hooft ansatz for a four-dimensional instanton. Although this solution has divergent action near each source, it can be used to construct an exact finite action multimonopole solution of heterotic string theory, in which the divergences from the Yang-Mills sector are precisely cancelled by those from the gravity sector.

[ { "created": "Thu, 14 May 1992 18:17:34 GMT", "version": "v1" }, { "created": "Fri, 15 May 1992 19:13:21 GMT", "version": "v2" } ]

2009-10-22

[ [ "Khuri", "Ramzi R.", "" ] ]

A multimonopole solution in Yang-Mills field theory is obtained by a modification of the 't Hooft ansatz for a four-dimensional instanton. Although this solution has divergent action near each source, it can be used to construct an exact finite action multimonopole solution of heterotic string theory, in which the divergences from the Yang-Mills sector are precisely cancelled by those from the gravity sector.

7.927739

6.013824

8.660728

6.430111

6.056271

6.2068

6.370499

6.437276

6.964121

8.271083

6.721371

7.389983

7.731113

7.363422

7.173826

7.310309

7.123475

7.266644

7.162775

7.92065

7.18919

2109.04427

Kays Haddad

Exponentiation of the leading eikonal with spin

12 pages + appendices

null

10.1103/PhysRevD.105.026004

null

hep-th

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

We initiate a study into the eikonal exponentiation of the amplitude in impact-parameter space when spinning particles are involved in the scattering. Considering the gravitational scattering of two spin-1/2 particles, we demonstrate that the leading eikonal exhibits exponentiation up to $\mathcal{O}(G^{2})$ in the limit where the spacetime dimension $D\rightarrow4$. We find this to hold for general spin orientations. The exponentiation of the leading eikonal including spin is understood through the unitarity properties at leading order in $\hbar$ of momentum-space amplitudes, allowing the extension of our results to arbitrary-spin scattering.

[ { "created": "Thu, 9 Sep 2021 17:18:48 GMT", "version": "v1" } ]

2022-01-19

[ [ "Haddad", "Kays", "" ] ]

We initiate a study into the eikonal exponentiation of the amplitude in impact-parameter space when spinning particles are involved in the scattering. Considering the gravitational scattering of two spin-1/2 particles, we demonstrate that the leading eikonal exhibits exponentiation up to $\mathcal{O}(G^{2})$ in the limit where the spacetime dimension $D\rightarrow4$. We find this to hold for general spin orientations. The exponentiation of the leading eikonal including spin is understood through the unitarity properties at leading order in $\hbar$ of momentum-space amplitudes, allowing the extension of our results to arbitrary-spin scattering.

10.180787

8.687961

9.147277

8.597996

8.244038

9.507389

8.405742

8.344529

8.451868

9.801087

8.559149

8.590339

8.61568

8.434605

8.324116

8.613661

8.48315

8.895031

8.819463

8.742383

8.883243

2401.14392

Andrei Mironov

A. Mironov, A. Morozov, A. Popolitov, Sh. Shakirov

Summing up perturbation series around superintegrable point

15 pages + Appendix (7 pages)

Phys.Lett. B852 (2024) 138593

10.1016/j.physletb.2024.138593

FIAN/TD-02/24; IITP/TH-01/24; ITEP/TH-01/24; MIPT/TH-01/24

hep-th math-ph math.MP

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

We work out explicit formulas for correlators in the Gaussian matrix model perturbed by a logarithmic potential, i.e. by inserting Miwa variables. In this paper, we concentrate on the example of a single Miwa variable. The ordinary Gaussian model is superintegrable, i.e. the average of the Schur functions $S_Q$ is an explicit function of the Young diagram $Q$. The question is what happens to this property after perturbation. We show that the entire perturbation series can be nicely summed up into a kind of Borel transform of a universal exponential function, while the dependence on $R$ enters through a polynomial factor in front of this exponential. Moreover, these polynomials can be described explicitly through a single additional structure, which we call ``truncation'' of the Young diagram $Q$. It is unclear if one can call this an extended superintegrability, but at least it is a tremendously simple deformation of it. Moreover, the vanishing Gaussian correlators remain vanishing and, hence, are not deformed at all.

[ { "created": "Thu, 25 Jan 2024 18:50:20 GMT", "version": "v1" } ]

2024-04-12

[ [ "Mironov", "A.", "" ], [ "Morozov", "A.", "" ], [ "Popolitov", "A.", "" ], [ "Shakirov", "Sh.", "" ] ]

We work out explicit formulas for correlators in the Gaussian matrix model perturbed by a logarithmic potential, i.e. by inserting Miwa variables. In this paper, we concentrate on the example of a single Miwa variable. The ordinary Gaussian model is superintegrable, i.e. the average of the Schur functions $S_Q$ is an explicit function of the Young diagram $Q$. The question is what happens to this property after perturbation. We show that the entire perturbation series can be nicely summed up into a kind of Borel transform of a universal exponential function, while the dependence on $R$ enters through a polynomial factor in front of this exponential. Moreover, these polynomials can be described explicitly through a single additional structure, which we call ``truncation'' of the Young diagram $Q$. It is unclear if one can call this an extended superintegrability, but at least it is a tremendously simple deformation of it. Moreover, the vanishing Gaussian correlators remain vanishing and, hence, are not deformed at all.

11.328287

10.569189

13.202142

10.822748

12.053744

11.923709

11.378757

10.432554

9.336556

13.236539

10.226712

10.543522

11.469361

10.556891

10.872884

10.8215

10.430381

10.71245

10.347745

11.118935

10.521175

1707.01030

Alex Buchel

Ringing in de Sitter spacetime

19 pages, 6 figures, 1 supplemental file

null

hep-th

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

Hydrodynamics is a universal effective theory describing relaxation of quantum field theories towards equilibrium. Massive QFTs in de Sitter spacetime are never at equilibrium. We use holographic gauge theory/gravity correspondence to describe relaxation of a QFT to its Bunch-Davies vacuum - an attractor of its late-time dynamics. Specifically, we compute the analogue of the quasinormal modes describing the relaxation of a holographic toy model QFT in de Sitter.

[ { "created": "Tue, 4 Jul 2017 15:13:22 GMT", "version": "v1" } ]

2017-07-05

[ [ "Buchel", "Alex", "" ] ]

Hydrodynamics is a universal effective theory describing relaxation of quantum field theories towards equilibrium. Massive QFTs in de Sitter spacetime are never at equilibrium. We use holographic gauge theory/gravity correspondence to describe relaxation of a QFT to its Bunch-Davies vacuum - an attractor of its late-time dynamics. Specifically, we compute the analogue of the quasinormal modes describing the relaxation of a holographic toy model QFT in de Sitter.

10.07703

8.213284

8.954179

7.951662

8.10303

7.720175

8.08674

8.03099

8.087895

10.808666

8.124244

8.283998

8.351883

7.972416

8.297312

8.152945

8.271093

8.147224

8.415789

8.776985

8.312746

hep-th/9812095

Joan Simon

Joan Sim\'on

T-duality and Effective D-Brane Actions

4 pages, RevTex, no figures. Final version to appear in Physical Review D

null

10.1103/PhysRevD.61.047702

UB-ECM-PF-98/22

hep-th

null

T-duality realized on D-brane effective actions is studied from a pure worldvolume point of view. It is proved that invariance in the form of the Dirac-Born-Infeld and Wess-Zumino terms fixes the T-duality transformations of the NS-NS and R-R background fields, respectively. The analysis is extended to uncover the mapping of global symmetries of the corresponding pair of D-branes involved in the transformation.

[ { "created": "Fri, 11 Dec 1998 15:19:38 GMT", "version": "v1" }, { "created": "Fri, 8 Jan 1999 19:07:02 GMT", "version": "v2" }, { "created": "Mon, 1 Nov 1999 08:29:50 GMT", "version": "v3" } ]

2016-08-15

[ [ "Simón", "Joan", "" ] ]

T-duality realized on D-brane effective actions is studied from a pure worldvolume point of view. It is proved that invariance in the form of the Dirac-Born-Infeld and Wess-Zumino terms fixes the T-duality transformations of the NS-NS and R-R background fields, respectively. The analysis is extended to uncover the mapping of global symmetries of the corresponding pair of D-branes involved in the transformation.

9.288355

7.995052

8.965163

7.408646

7.332003

7.023279

7.406046

7.830457

7.930002

9.617411

8.292415

7.525991

8.426671

7.949741

7.565984

7.585049

7.911414

7.618682

7.873026

8.492811

7.824293

hep-th/0702193

Keshav Dasgupta

Keshav Dasgupta, Hassan Firouzjahi, Rhiannon Gwyn

Lumps in the throat

JHEP.cls, 31 pages, 5 .eps figures; v2: some comments and references added; v3: some typos corrected and a reference added. Final version to appear in JHEP

JHEP 0704:093,2007

10.1088/1126-6708/2007/04/093

null

hep-th astro-ph gr-qc

null

We study classical lump solutions in a warped throat where brane inflation takes place. Some of the solitonic or lump solutions that we study here are the (p,q) cosmic strings and their junctions, cosmic necklaces and semi-local strings and generic semi-local defects. We show how various wrapping modes of D3-branes may be used to study all these defects in one interpolating set-up. Our construction allows us to study (p,q)-string junctions in curved backgrounds and in the presence of non-trivial RR fluxes. We extend the junction construction to allow for the possibility of cosmic necklaces, and show how these new lump solutions form a consistent picture in the inflationary brane models. We also give a generic construction of semi-local defects in these backgrounds, and argue that our construction encompasses all possible constructions of semi-local defects with any global symmetries. The cosmological implications of these configurations are briefly studied.

[ { "created": "Fri, 23 Feb 2007 23:18:56 GMT", "version": "v1" }, { "created": "Thu, 8 Mar 2007 19:21:56 GMT", "version": "v2" }, { "created": "Thu, 19 Apr 2007 19:51:14 GMT", "version": "v3" } ]

2009-11-13

[ [ "Dasgupta", "Keshav", "" ], [ "Firouzjahi", "Hassan", "" ], [ "Gwyn", "Rhiannon", "" ] ]

We study classical lump solutions in a warped throat where brane inflation takes place. Some of the solitonic or lump solutions that we study here are the (p,q) cosmic strings and their junctions, cosmic necklaces and semi-local strings and generic semi-local defects. We show how various wrapping modes of D3-branes may be used to study all these defects in one interpolating set-up. Our construction allows us to study (p,q)-string junctions in curved backgrounds and in the presence of non-trivial RR fluxes. We extend the junction construction to allow for the possibility of cosmic necklaces, and show how these new lump solutions form a consistent picture in the inflationary brane models. We also give a generic construction of semi-local defects in these backgrounds, and argue that our construction encompasses all possible constructions of semi-local defects with any global symmetries. The cosmological implications of these configurations are briefly studied.

12.724536

12.173307

12.540479

12.296777

12.54832

12.53617

12.960789

12.437922

12.085032

12.556526

11.964915

12.020552

12.275204

11.478916

12.027411

12.253791

12.547978

11.656131

11.770453

12.177673

11.589483

hep-th/9501136

Georg Maximilian Gandenberger

G. M. Gandenberger

Exact S-Matrices for Bound States of $a_2^{(1)}$ Affine Toda Solitons

Comments to figure 1 changed, some misprints corrected, 31 pages, LATEX. (Version accepted for publication in NUCLEAR PHYSICS B)

Nucl.Phys. B449 (1995) 375-405

10.1016/0550-3213(95)00285-Z

DAMTP-95-04

hep-th

null

Using Hollowood's conjecture for the S-matrix for elementary solitons in complex $a_n^{(1)}$ affine Toda field theories we examine the interactions of bound states of solitons in $a_2^{(1)}$ theory. The elementary solitons can form two different kinds of bound states: scalar bound states (the so-called breathers), and excited solitons, which are bound states with non-zero topological charge. We give explicit expressions of all S-matrix elements involving the scattering of breathers and excited solitons and examine their pole structure in detail. It is shown how the poles can be explained in terms of on-shell diagrams, several of which involve a generalized Coleman-Thun mechanism.

[ { "created": "Mon, 30 Jan 1995 20:19:00 GMT", "version": "v1" }, { "created": "Sun, 4 Jun 1995 15:35:00 GMT", "version": "v2" } ]

2009-10-28

[ [ "Gandenberger", "G. M.", "" ] ]

Using Hollowood's conjecture for the S-matrix for elementary solitons in complex $a_n^{(1)}$ affine Toda field theories we examine the interactions of bound states of solitons in $a_2^{(1)}$ theory. The elementary solitons can form two different kinds of bound states: scalar bound states (the so-called breathers), and excited solitons, which are bound states with non-zero topological charge. We give explicit expressions of all S-matrix elements involving the scattering of breathers and excited solitons and examine their pole structure in detail. It is shown how the poles can be explained in terms of on-shell diagrams, several of which involve a generalized Coleman-Thun mechanism.

8.231705

7.516334

9.366384

7.923468

7.515267

7.38296

7.721227

7.922837

7.418611

10.126633

7.560638

7.253067

7.857209

7.533578

7.445791

7.584208

7.489701

7.690499

7.699812

8.237335

7.77245

2310.15697

Mihailo \v{C}ubrovi\'c

Vladan Djuki\'c and Mihailo \v{C}ubrovi\'c

Correlation functions for open strings and chaos

32 pages, 3 figures; this version: a few typos corrected

JHEP04 (2024) 025

10.1007/JHEP04(2024)025

null

hep-th gr-qc nlin.CD

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

We study the holographic interpretation of the bulk instability, i.e. the bulk Lyapunov exponent in the motion of open classical bosonic strings in AdS black hole/brane/string backgrounds. In the vicinity of homogeneous and isotropic horizons the bulk Lyapunov exponent saturates the MSS chaos bound but in fact has nothing to do with chaos as our string configurations live in an integrable sector. In the D1-D5-p black string background, the bulk Lyapunov exponent is deformed away from the MSS value both by the rotation (the infrared deformation) and the existence of an asymptotically flat region (the ultraviolet deformation). The dynamics is still integrable and has nothing to do with chaos (either in gravity or in field theory). Instead, the bulk Lyapunov scale captures the imaginary part of quasinormal mode frequencies. Therefore, the meaning of the bulk chaos is that it determines the thermal decay rate due to the coupling to the heat bath, i.e. the horizon.

[ { "created": "Tue, 24 Oct 2023 10:11:33 GMT", "version": "v1" }, { "created": "Thu, 16 Nov 2023 13:48:06 GMT", "version": "v2" }, { "created": "Thu, 8 Feb 2024 14:43:31 GMT", "version": "v3" }, { "created": "Thu, 7 Mar 2024 00:06:44 GMT", "version": "v4" } ]

2024-04-18

[ [ "Djukić", "Vladan", "" ], [ "Čubrović", "Mihailo", "" ] ]

We study the holographic interpretation of the bulk instability, i.e. the bulk Lyapunov exponent in the motion of open classical bosonic strings in AdS black hole/brane/string backgrounds. In the vicinity of homogeneous and isotropic horizons the bulk Lyapunov exponent saturates the MSS chaos bound but in fact has nothing to do with chaos as our string configurations live in an integrable sector. In the D1-D5-p black string background, the bulk Lyapunov exponent is deformed away from the MSS value both by the rotation (the infrared deformation) and the existence of an asymptotically flat region (the ultraviolet deformation). The dynamics is still integrable and has nothing to do with chaos (either in gravity or in field theory). Instead, the bulk Lyapunov scale captures the imaginary part of quasinormal mode frequencies. Therefore, the meaning of the bulk chaos is that it determines the thermal decay rate due to the coupling to the heat bath, i.e. the horizon.

11.373687

11.979158

12.27742

11.363252

11.609038

11.459067

11.214279

11.113228

11.384903

12.673602

11.114198

10.734992

11.543097

10.959958

10.743815

10.908326

10.860046

11.151746

10.781161

11.77299

10.674126

2208.00387

Peter Bantay

P. Bantay

Graphs, lattices and deconstruction hierarchies

31 pages, 2 figures

null

hep-th math.CO

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

The mathematics underlying the connection between deconstruction lattices and locality diagrams of conformal models is developed from scratch, with special emphasis on classification issues. In particular, the notions of equilocality classes, deflation map, essential vertices and stem graphs are introduced in order to characterize those graphs that may arise as locality diagrams.

[ { "created": "Sun, 31 Jul 2022 07:55:05 GMT", "version": "v1" } ]

2022-08-02

[ [ "Bantay", "P.", "" ] ]

The mathematics underlying the connection between deconstruction lattices and locality diagrams of conformal models is developed from scratch, with special emphasis on classification issues. In particular, the notions of equilocality classes, deflation map, essential vertices and stem graphs are introduced in order to characterize those graphs that may arise as locality diagrams.

26.676676

27.030287

26.730703

23.241209

23.105236

25.418791

27.643438

24.230747

25.76228

31.938492

24.124256

23.257151

27.501818

26.814892

25.878933

25.318037

26.17786

25.202946

27.104752

27.585003

25.603235

hep-th/0204063

V. P. Nair

V.P. Nair

Yang-Mills theory in (2+1) dimensions: a short review

14 pages, Talk at Lightcone Workshop, Trento, 2001, to appear in Nucl.Phys.(Proc.)

Nucl.Phys.Proc.Suppl. 108 (2002) 194-200

10.1016/S0920-5632(02)01328-2

CCNY-HEP-01/09

hep-th

null

The analysis of (2+1)-dimensional Yang-Mills ($YM_{2+1})$ theory via the use of gauge-invariant matrix variables is reviewed. The vacuum wavefunction, string tension, the propagator mass for gluons, its relation to the magnetic mass for $YM_{3+1}$ at nonzero temperature and the extension of our analysis to the Yang-Mills-Chern-Simons theory are discussed.

[ { "created": "Sun, 7 Apr 2002 16:54:12 GMT", "version": "v1" } ]

2009-11-07

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

The analysis of (2+1)-dimensional Yang-Mills ($YM_{2+1})$ theory via the use of gauge-invariant matrix variables is reviewed. The vacuum wavefunction, string tension, the propagator mass for gluons, its relation to the magnetic mass for $YM_{3+1}$ at nonzero temperature and the extension of our analysis to the Yang-Mills-Chern-Simons theory are discussed.

9.830432

7.545505

9.615698

7.404053

8.023074

7.632223

7.946255

7.786558

7.754705

8.856736

8.066593

8.146338

9.475971

8.706274

8.940451

8.786673

8.802315

8.381574

8.572127

8.950789

8.828614

hep-th/9810179

Shahin S. Jabbari

M.M. Sheikh-Jabbari

Super Yang-Mills Theory on Noncommutative Torus from Open Strings Interactions

9 pages, Latex File, Minor changes, results

Phys.Lett.B450:119-125,1999

10.1016/S0370-2693(99)00122-7

IPM/P-98/22

hep-th

null

Considering the scattering of massless open strings attached to a D2-brane living in the $B$ field background, we show that corresponding scattering upto the order of $\a'^2$ is exactly given by the gauge theory on noncommutative background, which is characterized by the Moyal bracket.

[ { "created": "Thu, 22 Oct 1998 15:53:34 GMT", "version": "v1" }, { "created": "Mon, 2 Nov 1998 07:51:10 GMT", "version": "v2" }, { "created": "Thu, 3 Dec 1998 10:46:16 GMT", "version": "v3" } ]

2009-10-07

[ [ "Sheikh-Jabbari", "M. M.", "" ] ]

Considering the scattering of massless open strings attached to a D2-brane living in the $B$ field background, we show that corresponding scattering upto the order of $\a'^2$ is exactly given by the gauge theory on noncommutative background, which is characterized by the Moyal bracket.

18.950163

14.229522

15.524632

13.140742

13.612621

14.120021

14.236311

12.599484

12.942425

17.195831

12.542212

13.720944

15.334453

13.361813

13.93633

13.473062

13.709211

14.959301

13.721997

15.539665

14.254237

1210.7378

Pietro Longhi

Pietro Longhi and Roberto Soldati

Neutral Massive Spin 1/2 Particles Emission in a Rindler Spacetime

v2: clarifications added to Introduction and Conclusions, added appendices; v3 removed review part, published version

International Journal of Modern Physics A Vol. 28 (2013) 1350109

10.1142/S0217751X13501091

null

hep-th gr-qc

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

The Unruh effect for the rate of emission and absorption of neutral massive Majorana spinor particles -- the most plausible consituents of Dark Matter -- in a Rindler spacetime is thoroughly investigated. The corresponding Bogolyubov coefficients are explicitly calculated and the consistency with Fermi-Dirac statistics and the Pauli principle is actually verified.

[ { "created": "Sat, 27 Oct 2012 22:36:30 GMT", "version": "v1" }, { "created": "Mon, 18 Mar 2013 17:29:05 GMT", "version": "v2" }, { "created": "Fri, 16 Aug 2013 00:16:37 GMT", "version": "v3" } ]

2013-08-19

[ [ "Longhi", "Pietro", "" ], [ "Soldati", "Roberto", "" ] ]

The Unruh effect for the rate of emission and absorption of neutral massive Majorana spinor particles -- the most plausible consituents of Dark Matter -- in a Rindler spacetime is thoroughly investigated. The corresponding Bogolyubov coefficients are explicitly calculated and the consistency with Fermi-Dirac statistics and the Pauli principle is actually verified.

13.097618

10.802453

11.227178

10.723069

13.975933

12.504253

11.182116

10.901957

10.710284

11.017973

11.176388

11.45465

11.698758

11.759547

11.858104

12.451705

12.321687

11.850114

11.721191

11.283148

12.53863

1712.07662

Carl Turner

Bosonization in Non-Relativistic CFTs

30 pages plus references, 2 figures

null

hep-th cond-mat.str-el

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

We demonstrate explicitly the correspondence between all protected operators in a 2+1 dimensional non-supersymmetric bosonization duality in the non-relativistic limit. Roughly speaking we consider $SU(N)$ Chern-Simons field theory at level $k$ with $N_f$ flavours of fundamental boson, and match its chiral sector to that of a $SU(k)$ theory at level $N$ with $N_f$ fundamental fermions. We present the matching at the level of indices and individual operators, seeing the mechanism of failure for $N_f > N$, and point out that the non-relativistic setting is a particularly friendly setting for studying interesting questions about such dualities.

[ { "created": "Wed, 20 Dec 2017 19:00:04 GMT", "version": "v1" } ]

2017-12-22

[ [ "Turner", "Carl", "" ] ]

We demonstrate explicitly the correspondence between all protected operators in a 2+1 dimensional non-supersymmetric bosonization duality in the non-relativistic limit. Roughly speaking we consider $SU(N)$ Chern-Simons field theory at level $k$ with $N_f$ flavours of fundamental boson, and match its chiral sector to that of a $SU(k)$ theory at level $N$ with $N_f$ fundamental fermions. We present the matching at the level of indices and individual operators, seeing the mechanism of failure for $N_f > N$, and point out that the non-relativistic setting is a particularly friendly setting for studying interesting questions about such dualities.

10.805714

10.416387

12.647193

9.705474

11.174112

10.478842

10.26226

10.327874

9.522936

11.472754

9.326683

9.966285

11.073379

10.089649

10.253835

10.320223

9.898229

9.868729

10.026742

10.858047

9.943424

0711.0376

Eugeny Babichev

E. Babichev

Gauge k-vortices

8 pages, 2 figures

Phys.Rev.D77:065021,2008

10.1103/PhysRevD.77.065021

null

hep-th astro-ph hep-ph

null

We consider gauge vortices in symmetry breaking models with a non-canonical kinetic term. This work extends our previous study on global topological k-defects (hep-th/0608071), including a gauge field. The model consists of a scalar field with a non-canonical kinetic term, while for the gauge field the standard form of its kinetic term is preserved. Topological defects arising in such models, k-vortices, may have quite different properties as compared to ``standard'' vortices. This happens because an additional dimensional parameter enters the Lagrangian for the considered model -- a ``kinetic'' mass. We briefly discuss possible consequences for cosmology, in particular, the formation of cosmic strings during phase transitions in the early universe and their properties.

[ { "created": "Fri, 2 Nov 2007 19:19:48 GMT", "version": "v1" }, { "created": "Sun, 11 Nov 2007 14:35:39 GMT", "version": "v2" } ]

2008-11-26

[ [ "Babichev", "E.", "" ] ]

We consider gauge vortices in symmetry breaking models with a non-canonical kinetic term. This work extends our previous study on global topological k-defects (hep-th/0608071), including a gauge field. The model consists of a scalar field with a non-canonical kinetic term, while for the gauge field the standard form of its kinetic term is preserved. Topological defects arising in such models, k-vortices, may have quite different properties as compared to ``standard'' vortices. This happens because an additional dimensional parameter enters the Lagrangian for the considered model -- a ``kinetic'' mass. We briefly discuss possible consequences for cosmology, in particular, the formation of cosmic strings during phase transitions in the early universe and their properties.

9.650866

8.854028

9.148157

9.159076

9.754017

9.337934

10.223634

8.88895

9.082295

9.842834

9.289571

9.211029

9.164553

9.066164

9.106027

9.121065

9.178863

9.494216

9.230282

9.499266

9.134135

0906.5533

Glib Ivashkevych

V.P. Berezovoj, G.I. Ivashkevych

Classical stochastic dynamics and extended $N = 4$ supersymmetric quantum mechanics

Proceedings of NPQCD 2009, Dnipropetrovsk, Ukraine

null

hep-th

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

This work is aimed at demonstrating the possibility to construct new exactly-solvable stochastic systems by use of the extended supersymmetric quantum mechanics ($N=4 SUSY QM$) formalism. A feature of the proposed approach consists in $N=4 SUSY QM$ the fact that probability densities and so obtained new potentials, which enter the Langevin equation, have a parametric freedom. The latter allows one to change the potentials form without changing the temporal behavior of the dispersion function.

[ { "created": "Tue, 30 Jun 2009 14:10:36 GMT", "version": "v1" }, { "created": "Sat, 4 Jul 2009 15:25:21 GMT", "version": "v2" } ]

2009-07-04

[ [ "Berezovoj", "V. P.", "" ], [ "Ivashkevych", "G. I.", "" ] ]

This work is aimed at demonstrating the possibility to construct new exactly-solvable stochastic systems by use of the extended supersymmetric quantum mechanics ($N=4 SUSY QM$) formalism. A feature of the proposed approach consists in $N=4 SUSY QM$ the fact that probability densities and so obtained new potentials, which enter the Langevin equation, have a parametric freedom. The latter allows one to change the potentials form without changing the temporal behavior of the dispersion function.

16.001579

15.011367

15.55523

15.245679

16.828608

17.477232

15.737914

15.800981

14.792181

17.770575

15.174905

14.712287

15.569289

14.470184

14.575691

14.985063

14.260672

14.651055

14.972317

16.074287

14.531638

hep-th/0111024

Thomas Dent

Thomas Dent (MCTP, University of Michigan)

On the modular invariance of mass eigenstates and CP violation

18 pages JHEP style, 1 fig., amssymb, amsmath, graphicx. As published

JHEP 0112:028,2001

10.1088/1126-6708/2001/12/028

MCTP-01-50

hep-th hep-ph

null

We investigate the modular transformation properties of observable (light) fields in heterotic orbifolds, in the light of recent calculations of CP-violating quantities. Measurable quantities must be modular invariant functions of string moduli, even if the light fields are noninvariant. We show that physical invariance may arise by patching smooth functions that are separately noninvariant. CP violation for <T> on the unit circle, which requires light and heavy states to mix under transformation, is allowed in principle, although the Jarlskog parameter J_CP(T) must be amended relative to previous results. However, a toy model of modular invariant mass terms indicates that the assumption underlying these results is unrealistic. In general the mass eigenstate basis is manifestly modular invariant and coupling constants are smooth invariant functions of T, thus CP is unbroken on the unit circle. We also discuss the status of CP-odd quantities when CP is a discrete gauge symmetry, and point out a link with baryogenesis.

[ { "created": "Fri, 2 Nov 2001 20:58:10 GMT", "version": "v1" }, { "created": "Sun, 4 Nov 2001 23:37:44 GMT", "version": "v2" }, { "created": "Thu, 7 Feb 2002 01:58:41 GMT", "version": "v3" } ]

2010-02-03

[ [ "Dent", "Thomas", "", "MCTP, University of Michigan" ] ]

We investigate the modular transformation properties of observable (light) fields in heterotic orbifolds, in the light of recent calculations of CP-violating quantities. Measurable quantities must be modular invariant functions of string moduli, even if the light fields are noninvariant. We show that physical invariance may arise by patching smooth functions that are separately noninvariant. CP violation for <T> on the unit circle, which requires light and heavy states to mix under transformation, is allowed in principle, although the Jarlskog parameter J_CP(T) must be amended relative to previous results. However, a toy model of modular invariant mass terms indicates that the assumption underlying these results is unrealistic. In general the mass eigenstate basis is manifestly modular invariant and coupling constants are smooth invariant functions of T, thus CP is unbroken on the unit circle. We also discuss the status of CP-odd quantities when CP is a discrete gauge symmetry, and point out a link with baryogenesis.

17.774471

19.760317

17.447578

17.236294

17.531652

18.797787

19.705938

17.896469

16.919462

19.076082

17.607651

17.739159

17.507442

16.602459

17.294418

17.739082

17.118071

17.382

16.77387

17.494822

16.946182

2304.03308

Minwoo Suh

Baryonic spindles from conifolds

30 pages, 1 figure

null

hep-th

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

We construct supersymmetric $AdS_3\times\Sigma$ solutions with baryonic charge in the Betti-vector truncation of five-dimensional gauged $\mathcal{N}=4$ supergravity where $\Sigma$ is a spindle. The truncation is obtained from type IIB supergravity on $AdS_5\times{T}^{1,1}$. The solutions realize supersymmetry by the anti-twist. The dual field theories are 2d $\mathcal{N}=(0,2)$ SCFTs from the Klebanov-Witten theory compactified on a spindle. We calculate the holographic central charge of the solutions and it precisely matches the result from gravitational block.

[ { "created": "Thu, 6 Apr 2023 18:00:05 GMT", "version": "v1" } ]

2023-04-10

[ [ "Suh", "Minwoo", "" ] ]

We construct supersymmetric $AdS_3\times\Sigma$ solutions with baryonic charge in the Betti-vector truncation of five-dimensional gauged $\mathcal{N}=4$ supergravity where $\Sigma$ is a spindle. The truncation is obtained from type IIB supergravity on $AdS_5\times{T}^{1,1}$. The solutions realize supersymmetry by the anti-twist. The dual field theories are 2d $\mathcal{N}=(0,2)$ SCFTs from the Klebanov-Witten theory compactified on a spindle. We calculate the holographic central charge of the solutions and it precisely matches the result from gravitational block.

6.455166

6.210217

7.751465

6.259201

6.220989

5.897488

5.749288

5.408917

6.010646

8.89294

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6.37504

6.906093

6.012134

6.106749

6.216208

6.210308

6.155447

6.091648

6.798006

6.220558

1006.3480

Steven Weinberg

Six-dimensional Methods for Four-dimensional Conformal Field Theories

Version accepted for publication in Physical Review D. References to earlier work added in footnote 2. Minor errors corrected. 24 pages

Phys.Rev.D82:045031,2010

10.1103/PhysRevD.82.045031

UTTG-04-10

hep-th gr-qc

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

The calculation of both spinor and tensor Green's functions in four-dimensional conformally invariant field theories can be greatly simplified by six-dimensional methods. For this purpose, four-dimensional fields are constructed as projections of fields on the hypercone in six-dimensional projective space, satisfying certain transversality conditions. In this way some Green's functions in conformal field theories are shown to have structures more general than those commonly found by use of the inversion operator. These methods fit in well with the assumption of AdS/CFT duality. In particular, it is transparent that if fields on AdS$_5$ approach finite limits on the boundary of AdS$_5$, then in the conformal field theory on this boundary these limits transform with conformal dimensionality zero if they are tensors (of any rank), but with conformal dimension 1/2 if they are spinors or spinor-tensors.

[ { "created": "Thu, 17 Jun 2010 14:33:06 GMT", "version": "v1" }, { "created": "Mon, 2 Aug 2010 21:35:12 GMT", "version": "v2" } ]

2014-11-21

[ [ "Weinberg", "Steven", "" ] ]

The calculation of both spinor and tensor Green's functions in four-dimensional conformally invariant field theories can be greatly simplified by six-dimensional methods. For this purpose, four-dimensional fields are constructed as projections of fields on the hypercone in six-dimensional projective space, satisfying certain transversality conditions. In this way some Green's functions in conformal field theories are shown to have structures more general than those commonly found by use of the inversion operator. These methods fit in well with the assumption of AdS/CFT duality. In particular, it is transparent that if fields on AdS$_5$ approach finite limits on the boundary of AdS$_5$, then in the conformal field theory on this boundary these limits transform with conformal dimensionality zero if they are tensors (of any rank), but with conformal dimension 1/2 if they are spinors or spinor-tensors.

11.251148

10.998015

11.09128

10.369775

11.136744

10.878218

11.460294

10.99

9.982306

12.052093

9.358676

9.838852

10.58937

9.878399

9.775747

9.82113

10.017845

10.269204

9.563038

10.231728

9.555222

hep-th/9710097

Sangmin Lee

Sangmin Lee, Amanda Peet, Larus Thorlacius

Brane-Waves and Strings

16 pages, LaTex, References added

Nucl.Phys.B514:161-176,1998

10.1016/S0550-3213(97)86505-4

PUPT-1726, NSF-ITP-97-113

hep-th

null

Recently, solutions of the Born-Infeld theory representing strings emanating from a Dirichlet p-brane have been constructed. We discuss the embedding of these Born-Infeld solutions into the non-abelian theory appropriate to multiple overlapping p-branes. We also prove supersymmetry of the solutions explicitly in the full nonlinear theory. We then study transverse fluctuations, both from the worldbrane point of view and by analyzing a test-string in the supergravity background of a Dp-brane. We find agreement between the two approaches for the cases p=3,4.

[ { "created": "Sat, 11 Oct 1997 02:41:28 GMT", "version": "v1" }, { "created": "Wed, 22 Oct 1997 00:49:27 GMT", "version": "v2" }, { "created": "Thu, 23 Oct 1997 22:01:14 GMT", "version": "v3" }, { "created": "Mon, 27 Oct 1997 18:34:23 GMT", "version": "v4" }, { "created": "Fri, 7 Nov 1997 19:48:05 GMT", "version": "v5" } ]

2008-11-26

[ [ "Lee", "Sangmin", "" ], [ "Peet", "Amanda", "" ], [ "Thorlacius", "Larus", "" ] ]

Recently, solutions of the Born-Infeld theory representing strings emanating from a Dirichlet p-brane have been constructed. We discuss the embedding of these Born-Infeld solutions into the non-abelian theory appropriate to multiple overlapping p-branes. We also prove supersymmetry of the solutions explicitly in the full nonlinear theory. We then study transverse fluctuations, both from the worldbrane point of view and by analyzing a test-string in the supergravity background of a Dp-brane. We find agreement between the two approaches for the cases p=3,4.

9.7954

8.448679

10.519425

8.633773

8.38451

8.269163

8.764202

8.640715

8.080243

10.56985

8.451937

8.289752

10.028594

8.310501

8.667813

8.237775

8.270975

8.295213

8.295074

9.942118

8.463237

1106.0639

Tiago Adorno

T. C. Adorno, D. M. Gitman, A. E. Shabad, D. V. Vassilevich

Classical Noncommutative Electrodynamics with External Source

null

Phys.Rev.D84:065003,2011

10.1103/PhysRevD.84.065003

null

hep-th quant-ph

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

In a $U(1)_{\star}$-noncommutative (NC) gauge field theory we extend the Seiberg-Witten (SW) map to include the (gauge-invariance-violating) external current and formulate - to the first order in the NC parameter - gauge-covariant classical field equations. We find solutions to these equations in the vacuum and in an external magnetic field, when the 4-current is a static electric charge of a finite size $a$, restricted from below by the elementary length. We impose extra boundary conditions, which we use to rule out all singularities, $1/r$ included, from the solutions. The static charge proves to be a magnetic dipole, with its magnetic moment being inversely proportional to its size $a$. The external magnetic field modifies the long-range Coulomb field and some electromagnetic form-factors. We also analyze the ambiguity in the SW map and show that at least to the order studied here it is equivalent to the ambiguity of adding a homogeneous solution to the current-conservation equation.

[ { "created": "Fri, 3 Jun 2011 13:43:01 GMT", "version": "v1" }, { "created": "Sun, 31 Jul 2011 19:04:04 GMT", "version": "v2" }, { "created": "Wed, 3 Aug 2011 16:57:03 GMT", "version": "v3" }, { "created": "Mon, 5 Sep 2011 13:35:06 GMT", "version": "v4" } ]

2011-09-06

[ [ "Adorno", "T. C.", "" ], [ "Gitman", "D. M.", "" ], [ "Shabad", "A. E.", "" ], [ "Vassilevich", "D. V.", "" ] ]

In a $U(1)_{\star}$-noncommutative (NC) gauge field theory we extend the Seiberg-Witten (SW) map to include the (gauge-invariance-violating) external current and formulate - to the first order in the NC parameter - gauge-covariant classical field equations. We find solutions to these equations in the vacuum and in an external magnetic field, when the 4-current is a static electric charge of a finite size $a$, restricted from below by the elementary length. We impose extra boundary conditions, which we use to rule out all singularities, $1/r$ included, from the solutions. The static charge proves to be a magnetic dipole, with its magnetic moment being inversely proportional to its size $a$. The external magnetic field modifies the long-range Coulomb field and some electromagnetic form-factors. We also analyze the ambiguity in the SW map and show that at least to the order studied here it is equivalent to the ambiguity of adding a homogeneous solution to the current-conservation equation.

10.800505

10.57122

11.100007

10.252337

10.341025

10.466118

10.785696

9.53578

10.110229

12.180252

10.213216

10.270798

10.69184

10.496171

10.155695

10.194416

10.246934

10.357991

10.600148

10.719488

10.273149

1808.01577

Stefano Bellucci

S. Bellucci, A. A. Saharian, D. H. Simonyan, V. V. Vardanyan

Fermionic currents in topologically nontrivial braneworlds

32 pages, 9 figures, PACS numbers: 04.62.+v, 03.70.+k, 98.80.-k, 61.46.Fg

Phys. Rev. D 98, 085020 (2018)

10.1103/PhysRevD.98.085020

null

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

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

We investigate the influence of a brane on the vacuum expectation value (VEV) of the current density for a charged fermionic field in background of locally AdS spacetime with an arbitrary number of toroidally compact dimensions and in the presence of a constant gauge field. Along compact dimensions the field operator obeys quasiperiodicity conditions with arbitrary phases and on the brane it is constrained by the bag boundary condition. The VEVs for the charge density and the components of the current density along uncompact dimensions vanish. The components along compact dimensions are decomposed into the brane-free and brane-induced contributions. The behavior of the latter in various asymptotic regions of the parameters is investigated. It particular, it is shown that the brane-induced contribution is mainly located near the brane and vanishes on the AdS boundary and on the horizon. An important feature is the finiteness of the current density on the brane. Applications are given to $Z_2$-symmetric braneworlds of the Randall-Sundrum type with compact dimensions for two classes of boundary conditions on the fermionic field. In the special case of three-dimensional spacetime, the corresponding results are applied for the investigation of the edge effects on the ground state current density induced in curved graphene tubes by an enclosed magnetic flux.

[ { "created": "Sun, 5 Aug 2018 07:58:52 GMT", "version": "v1" } ]

2018-11-07

[ [ "Bellucci", "S.", "" ], [ "Saharian", "A. A.", "" ], [ "Simonyan", "D. H.", "" ], [ "Vardanyan", "V. V.", "" ] ]

We investigate the influence of a brane on the vacuum expectation value (VEV) of the current density for a charged fermionic field in background of locally AdS spacetime with an arbitrary number of toroidally compact dimensions and in the presence of a constant gauge field. Along compact dimensions the field operator obeys quasiperiodicity conditions with arbitrary phases and on the brane it is constrained by the bag boundary condition. The VEVs for the charge density and the components of the current density along uncompact dimensions vanish. The components along compact dimensions are decomposed into the brane-free and brane-induced contributions. The behavior of the latter in various asymptotic regions of the parameters is investigated. It particular, it is shown that the brane-induced contribution is mainly located near the brane and vanishes on the AdS boundary and on the horizon. An important feature is the finiteness of the current density on the brane. Applications are given to $Z_2$-symmetric braneworlds of the Randall-Sundrum type with compact dimensions for two classes of boundary conditions on the fermionic field. In the special case of three-dimensional spacetime, the corresponding results are applied for the investigation of the edge effects on the ground state current density induced in curved graphene tubes by an enclosed magnetic flux.

7.187281

4.064603

8.615578

5.115358

4.62568

4.503782

4.628192

4.468374

4.639653

9.019115

4.853483

6.262696

7.66419

6.730258

7.007432

6.428051

6.468853

6.733776

6.624152

7.537387

6.56804

hep-th/9410016

Anders Westerberg

Martin Cederwall, Gabriele Ferretti, Bengt E.W. Nilsson and Anders Westerberg

Schwinger Terms and Cohomology of Pseudodifferential Operators

19 pages, plain tex

Commun.Math.Phys.175:203-220,1996

10.1007/BF02101630

Goteborg-ITP-94-23

hep-th funct-an math.FA

null

We study the cohomology of the Schwinger term arising in second quantization of the class of observables belonging to the restricted general linear algebra. We prove that, for all pseudodifferential operators in 3+1 dimensions of this type, the Schwinger term is equivalent to the ``twisted'' Radul cocycle, a modified version of the Radul cocycle arising in non-commutative differential geometry. In the process we also show how the ordinary Radul cocycle for any pair of pseudodifferential operators in any dimension can be written as the phase space integral of the star commutator of their symbols projected to the appropriate asymptotic component.

[ { "created": "Tue, 4 Oct 1994 14:03:53 GMT", "version": "v1" } ]

2010-11-01

[ [ "Cederwall", "Martin", "" ], [ "Ferretti", "Gabriele", "" ], [ "Nilsson", "Bengt E. W.", "" ], [ "Westerberg", "Anders", "" ] ]

We study the cohomology of the Schwinger term arising in second quantization of the class of observables belonging to the restricted general linear algebra. We prove that, for all pseudodifferential operators in 3+1 dimensions of this type, the Schwinger term is equivalent to the ``twisted'' Radul cocycle, a modified version of the Radul cocycle arising in non-commutative differential geometry. In the process we also show how the ordinary Radul cocycle for any pair of pseudodifferential operators in any dimension can be written as the phase space integral of the star commutator of their symbols projected to the appropriate asymptotic component.

10.370003

10.635125

12.010662

9.581988

10.793725

10.551127

10.852868

10.175202

10.205639

13.533612

9.568153

10.027466

10.035696

9.717736

9.583855

9.904975

9.719871

9.619477

9.867573

10.362855

9.514598

hep-th/0008223

Eve Mariel Santangelo

D.H. Correa

Vacuum energies for the relativistic Landau problem

Trabajo de Diploma. In Spanish. 43 pages. LateX

null

La Plata-Th 00/8

hep-th

null

We study, through zeta-function techniques, the vacuum energies for Dirac fields in a constant magnetic background. We consider the combined effect of the background and twisted boundary conditions. The required charge renormalization is discussed in each case.

[ { "created": "Tue, 29 Aug 2000 15:04:47 GMT", "version": "v1" } ]

2007-05-23

[ [ "Correa", "D. H.", "" ] ]

We study, through zeta-function techniques, the vacuum energies for Dirac fields in a constant magnetic background. We consider the combined effect of the background and twisted boundary conditions. The required charge renormalization is discussed in each case.

19.055984

12.253764

14.786993

13.012233

12.365377

14.923917

13.620563

14.217615

12.588918

17.041904

12.851986

13.966606

15.380114

14.735706

14.878811

15.291039

14.599805

14.555782

14.388977

15.568702

14.450885

hep-th/9912045

null

Rodrigo Aros, Mauricio Contreras, Rodrigo Olea, Ricardo Troncoso and Jorge Zanelli

Conserved Charges for Even Dimensional Asymptotically AdS Gravity Theories

8 pages, RevTeX, no figures, two columns, references added and minor typos corrected, final version for Phys. Rev. D

Phys.Rev. D62 (2000) 044002

10.1103/PhysRevD.62.044002

CECS-PHY-99/18; ULB-TH-99/26

hep-th gr-qc

null

Mass and other conserved Noether charges are discussed for solutions of gravity theories with locally Anti-de Sitter asymptotics in 2n dimensions. The action is supplemented with a boundary term whose purpose is to guarantee that it reaches an extremum on the classical solutions, provided the spacetime is locally AdS at the boundary. It is also shown that if spacetime is locally AdS at spatial infinity, the conserved charges are finite and properly normalized without requiring subtraction of a reference background. In this approach, Noether charges associated to Lorentz and diffeomorphism invariance vanish identically for constant curvature spacetimes. The case of zero cosmological constant is obtained as a limit of AdS, where $\Lambda $ plays the role of a regulator.

[ { "created": "Tue, 7 Dec 1999 03:30:39 GMT", "version": "v1" }, { "created": "Mon, 17 Apr 2000 21:30:15 GMT", "version": "v2" } ]

2009-10-31

[ [ "Aros", "Rodrigo", "" ], [ "Contreras", "Mauricio", "" ], [ "Olea", "Rodrigo", "" ], [ "Troncoso", "Ricardo", "" ], [ "Zanelli", "Jorge", "" ] ]

Mass and other conserved Noether charges are discussed for solutions of gravity theories with locally Anti-de Sitter asymptotics in 2n dimensions. The action is supplemented with a boundary term whose purpose is to guarantee that it reaches an extremum on the classical solutions, provided the spacetime is locally AdS at the boundary. It is also shown that if spacetime is locally AdS at spatial infinity, the conserved charges are finite and properly normalized without requiring subtraction of a reference background. In this approach, Noether charges associated to Lorentz and diffeomorphism invariance vanish identically for constant curvature spacetimes. The case of zero cosmological constant is obtained as a limit of AdS, where $\Lambda $ plays the role of a regulator.

9.575874

9.143996

10.166473

8.969177

8.858451

8.763218

9.342884

8.60679

9.049016

9.59949

8.585293

8.770782

8.796312

8.384151

8.555508

8.566817

8.680408

8.413253

8.520186

8.986936

8.227812

hep-th/0511305

Eugen Radu

Yves Brihaye, Betti Hartmann and Eugen Radu

Global monopoles, cosmological constant and maximal mass conjecture

18 pages, 7 figures; v2: references added, typos corrected, extended discussion on mass computation

Phys.Rev.D74:025009,2006

10.1103/PhysRevD.74.025009

null

hep-th gr-qc

null

We consider global monopoles as well as black holes with global monopole hair in Einstein-Goldstone model with a cosmological constant in four spacetime dimensions. Similar to the $\Lambda=0$ case, the mass of these solutions defined in the standard way diverges. We use a boundary counterterm subtraction method to compute the mass and action of $\Lambda \neq 0$ configurations. The mass of the asymptotically de Sitter solutions computed in this way turns out to take positive values in a specific parameter range and, for a relaxed set of asymptotic boundary conditions, yields a counterexample to the maximal mass conjecture.

[ { "created": "Wed, 30 Nov 2005 13:27:30 GMT", "version": "v1" }, { "created": "Fri, 16 Jun 2006 09:19:42 GMT", "version": "v2" } ]

2008-11-26

[ [ "Brihaye", "Yves", "" ], [ "Hartmann", "Betti", "" ], [ "Radu", "Eugen", "" ] ]

We consider global monopoles as well as black holes with global monopole hair in Einstein-Goldstone model with a cosmological constant in four spacetime dimensions. Similar to the $\Lambda=0$ case, the mass of these solutions defined in the standard way diverges. We use a boundary counterterm subtraction method to compute the mass and action of $\Lambda \neq 0$ configurations. The mass of the asymptotically de Sitter solutions computed in this way turns out to take positive values in a specific parameter range and, for a relaxed set of asymptotic boundary conditions, yields a counterexample to the maximal mass conjecture.

8.950348

8.128567

8.209504

7.789937

8.817348

7.909109

8.465594

7.580337

8.54661

8.710279

7.759429

7.985507

8.258396

8.006043

8.246709

7.930654

8.029266

7.876576

7.931629

8.261499

8.278089

1006.3754

J. M. Speight

J.M. Speight

Compactons and semi-compactons in the extreme baby Skyrme model

19 pages, 2 figures. Minor changes: published version

J.Phys.A43:405201,2010

10.1088/1751-8113/43/40/405201

null

hep-th

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

The static baby Skyrme model is investigated in the extreme limit where the energy functional contains only the potential and Skyrme terms, but not the Dirichlet energy term. It is shown that the model with potential $V=\frac12(1+\phi_3)^2$ possesses solutions with extremely unusual localization properties, which we call semi-compactons. These minimize energy in the degree 1 homotopy class, have support contained in a semi-infinite rectangular strip, and decay along the length of the strip as $x^{-\log x}$. By gluing together several semi-compactons, it is shown that every homotopy class has linearly stable solutions of arbitrarily high, but quantized, energy. For various other choices of potential, compactons are constructed with support in a closed disk, or in a closed annulus. In the latter case, one can construct higher winding compactons, and complicated superpositions in which several closed string-like compactons are nested within one another. The constructions make heavy use of the invariance of the model under area-preserving diffeomorphisms, and of a topological lower energy bound, both of which are established in a general geometric setting. All the solutions presented are classical, that is, they are (at least) twice continuously differentiable and satisfy the Euler-Lagrange equation of the model everywhere.

[ { "created": "Fri, 18 Jun 2010 17:24:45 GMT", "version": "v1" }, { "created": "Fri, 13 Aug 2010 15:44:17 GMT", "version": "v2" } ]

2014-11-12

[ [ "Speight", "J. M.", "" ] ]

The static baby Skyrme model is investigated in the extreme limit where the energy functional contains only the potential and Skyrme terms, but not the Dirichlet energy term. It is shown that the model with potential $V=\frac12(1+\phi_3)^2$ possesses solutions with extremely unusual localization properties, which we call semi-compactons. These minimize energy in the degree 1 homotopy class, have support contained in a semi-infinite rectangular strip, and decay along the length of the strip as $x^{-\log x}$. By gluing together several semi-compactons, it is shown that every homotopy class has linearly stable solutions of arbitrarily high, but quantized, energy. For various other choices of potential, compactons are constructed with support in a closed disk, or in a closed annulus. In the latter case, one can construct higher winding compactons, and complicated superpositions in which several closed string-like compactons are nested within one another. The constructions make heavy use of the invariance of the model under area-preserving diffeomorphisms, and of a topological lower energy bound, both of which are established in a general geometric setting. All the solutions presented are classical, that is, they are (at least) twice continuously differentiable and satisfy the Euler-Lagrange equation of the model everywhere.

9.231539

9.213034

10.13319

8.449924

9.802663

9.271405

8.993012

8.680931

8.300841

10.381824

8.351406

8.220492

9.0683

8.304113

8.29627

8.340075

8.327768

8.337008

8.21791

8.860158

8.188922

hep-th/9402082

null

A.A. Tseytlin

String solutions with non-constant scalar fields

14 pages, harvmac, Imperial/TP/93-94/15

null

hep-th

null

We discuss charged string solutions of the effective equations of D=4 heterotic string theory with non-constant dilaton and modulus fields. The effective action contains a generic moduli-dependent coupling function in the gauge field kinetic term and a non-perturbative scalar potential. This is a review of hep-th/9307123 by M. Cvetic and the author. To be published in the Proceedings of 27-th International Symposium on Theory of Elementary Particles, Wendisch - Rietz, September 1993.

[ { "created": "Mon, 14 Feb 1994 19:47:31 GMT", "version": "v1" } ]

2007-05-23

[ [ "Tseytlin", "A. A.", "" ] ]

We discuss charged string solutions of the effective equations of D=4 heterotic string theory with non-constant dilaton and modulus fields. The effective action contains a generic moduli-dependent coupling function in the gauge field kinetic term and a non-perturbative scalar potential. This is a review of hep-th/9307123 by M. Cvetic and the author. To be published in the Proceedings of 27-th International Symposium on Theory of Elementary Particles, Wendisch - Rietz, September 1993.

9.892082

8.503375

10.426564

8.172543

8.004261

7.243765

8.582389

7.856377

8.524727

10.483612

7.711296

8.495287

9.161496

8.439386

8.322518

8.48753

8.05415

8.185633

8.567053

9.281993

8.4155

1005.1936

Junji Jia

F.A. Chishtie, T. Hanif, Junji Jia,1, D.G.C. McKeon and T.N. Sherry

Summing Radiative Corrections to the Effective Potential

16 pages; added 2 figures and 2 tables; references revised

Int.J.Mod.Phys.A25:5711-5729,2010

10.1142/S0217751X10051098

UWO-TH-10/02

hep-th

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

When one uses the Coleman-Weinberg renormalization condition, the effective potential $V$ in the massless $\phi_4^4$ theory with O(N) symmetry is completely determined by the renormalization group functions. It has been shown how the $(p+1)$ order renormalization group function determine the sum of all the N$^{\mbox{\scriptsize p}}$LL order contribution to $V$ to all orders in the loop expansion. We discuss here how, in addition to fixing the N$^{\mbox{\scriptsize p}}$LL contribution to $V$, the $(p+1)$ order renormalization group functions also can be used to determine portions of the N$^{\mbox{\scriptsize p+n}}$LL contributions to $V$. When these contributions are summed to all orders, the singularity structure of \mcv is altered. An alternate rearrangement of the contributions to $V$ in powers of $\ln \phi$, when the extremum condition $V^\prime (\phi = v) = 0$ is combined with the renormalization group equation, show that either $v = 0$ or $V$ is independent of $\phi$. This conclusion is supported by showing the LL, $\cdots$, N$^4$LL contributions to $V$ become progressively less dependent on $\phi$.

[ { "created": "Tue, 11 May 2010 20:14:18 GMT", "version": "v1" }, { "created": "Wed, 1 Sep 2010 20:58:02 GMT", "version": "v2" } ]

2011-01-04

[ [ "Chishtie", "F. A.", "" ], [ "Hanif", "T.", "" ], [ "Jia", "Junji", "" ], [ "1", "", "" ], [ "McKeon", "D. G. C.", "" ], [ "Sherry", "T. N.", "" ] ]

When one uses the Coleman-Weinberg renormalization condition, the effective potential $V$ in the massless $\phi_4^4$ theory with O(N) symmetry is completely determined by the renormalization group functions. It has been shown how the $(p+1)$ order renormalization group function determine the sum of all the N$^{\mbox{\scriptsize p}}$LL order contribution to $V$ to all orders in the loop expansion. We discuss here how, in addition to fixing the N$^{\mbox{\scriptsize p}}$LL contribution to $V$, the $(p+1)$ order renormalization group functions also can be used to determine portions of the N$^{\mbox{\scriptsize p+n}}$LL contributions to $V$. When these contributions are summed to all orders, the singularity structure of \mcv is altered. An alternate rearrangement of the contributions to $V$ in powers of $\ln \phi$, when the extremum condition $V^\prime (\phi = v) = 0$ is combined with the renormalization group equation, show that either $v = 0$ or $V$ is independent of $\phi$. This conclusion is supported by showing the LL, $\cdots$, N$^4$LL contributions to $V$ become progressively less dependent on $\phi$.

6.860704

6.96303

6.417593

6.182887

6.751945

7.059044

7.165258

6.337384

6.407475

6.688886

6.75579

6.754877

6.512615

6.412723

6.74557

6.61141

6.52734

6.628463

6.523183

6.697055

6.702706

hep-th/9609078

Rahmi Guven

R. G\"uven and E. Y\"or\"uk

Stringy Robinson-Trautman Solutions

Latex, 30 Pages, 1 Figure; to appear in Phys. Rev. D

Phys.Rev.D54:6413-6423,1996

10.1103/PhysRevD.54.6413

null

hep-th

null

A class of solutions of the low energy string theory in four dimensions is studied. This class admits a geodesic, shear-free null congruence which is non-twisting but in general diverging and the corresponding solutions in Einstein's theory form the Robinson-Trautman family together with a subset of the Kundt's class. The Robinson-Trautman conditions are found to be frame invariant in string theory. The Lorentz Chern-Simons three form of the stringy Robinson-Trautman solutions is shown to be always closed. The stringy generalizations of the vacuum Robinson-Trautman equation are obtained and three subclasses of solutions are identified. One of these subclasses exists, among all the dilatonic theories, only in Einstein's theory and in string theory. Several known solutions including the dilatonic black holes, the pp- waves, the stringy C-metric and certain solutions which correspond to exact conformal field theories are shown to be particular members of the stringy Robinson-Trautman family. Some new solutions which are static or asymptotically flat and radiating are also presented. The radiating solutions have a positive Bondi mass. One of these radiating solutions has the property that it settles down smoothly to a black hole state at late retarded times.

[ { "created": "Tue, 10 Sep 1996 05:25:27 GMT", "version": "v1" } ]

2008-11-26

[ [ "Güven", "R.", "" ], [ "Yörük", "E.", "" ] ]

A class of solutions of the low energy string theory in four dimensions is studied. This class admits a geodesic, shear-free null congruence which is non-twisting but in general diverging and the corresponding solutions in Einstein's theory form the Robinson-Trautman family together with a subset of the Kundt's class. The Robinson-Trautman conditions are found to be frame invariant in string theory. The Lorentz Chern-Simons three form of the stringy Robinson-Trautman solutions is shown to be always closed. The stringy generalizations of the vacuum Robinson-Trautman equation are obtained and three subclasses of solutions are identified. One of these subclasses exists, among all the dilatonic theories, only in Einstein's theory and in string theory. Several known solutions including the dilatonic black holes, the pp- waves, the stringy C-metric and certain solutions which correspond to exact conformal field theories are shown to be particular members of the stringy Robinson-Trautman family. Some new solutions which are static or asymptotically flat and radiating are also presented. The radiating solutions have a positive Bondi mass. One of these radiating solutions has the property that it settles down smoothly to a black hole state at late retarded times.

7.731718

8.668344

8.200038

7.448268

7.547985

8.170171

7.771969

7.57331

7.664587

7.837076

7.444598

7.393681

7.325732

7.14888

7.358693

7.361466

7.285024

7.273143

7.338888

7.317978

7.217119

hep-th/9205029

null

Mirjam Cvetic and Paul Langacker

Neutrino Masses within the Minimal Supersymmetric Standard Model

14 pg. (The value of the tree level gauge coupling unification scale in string theory has been revised. In addition, the authors would like to appologize to the readers for erroneously submitting the paper to the HEPTH bulletin board instead of the HEPPH one.)

Phys.Rev.D46:2759-2763,1992

10.1103/PhysRevD.46.R2759

null

hep-th hep-ph

null

We investigate the possibility of accommodating neutrino masses compatible with the MSW study of the Solar neutrino deficit within the minimal supersymmetric Standard Model. The ``gravity-induced'' seesaw mechanism based on an interplay of nonrenormalizable and renormalizable terms in the superpotential allows neutrino masses $m_\nu\propto m_u^2/M_I$, with $m_u$ the corresponding quark mass and $M_I\simeq 4\times10^{11}$ GeV, while at the same time ensuring the grand desert with the gauge coupling unification at $M_U\simeq 2\times10^{16}$ GeV. The proposed scenario may be realized in a class of string vacua, {\it i.e.,} large radius ($R^2/\alpha '={\cal O}(20)$) $(0,2)$ Calabi-Yau spaces. In this case $M_U^2=M_C^2/{\cal O} (2R^2/\alpha')$ and $M_I= {\cal O}(e^{-R^2/\alpha'})M_C$. Here $M_C=g\times 5.2\times 10^{17}$GeV is the scale of the tree level (genus zero) gauge coupling ($g$) unification.

[ { "created": "Wed, 13 May 1992 02:34:18 GMT", "version": "v1" }, { "created": "Mon, 18 May 1992 14:26:14 GMT", "version": "v2" } ]

2009-09-17

[ [ "Cvetic", "Mirjam", "" ], [ "Langacker", "Paul", "" ] ]

We investigate the possibility of accommodating neutrino masses compatible with the MSW study of the Solar neutrino deficit within the minimal supersymmetric Standard Model. The ``gravity-induced'' seesaw mechanism based on an interplay of nonrenormalizable and renormalizable terms in the superpotential allows neutrino masses $m_\nu\propto m_u^2/M_I$, with $m_u$ the corresponding quark mass and $M_I\simeq 4\times10^{11}$ GeV, while at the same time ensuring the grand desert with the gauge coupling unification at $M_U\simeq 2\times10^{16}$ GeV. The proposed scenario may be realized in a class of string vacua, {\it i.e.,} large radius ($R^2/\alpha '={\cal O}(20)$) $(0,2)$ Calabi-Yau spaces. In this case $M_U^2=M_C^2/{\cal O} (2R^2/\alpha')$ and $M_I= {\cal O}(e^{-R^2/\alpha'})M_C$. Here $M_C=g\times 5.2\times 10^{17}$GeV is the scale of the tree level (genus zero) gauge coupling ($g$) unification.

6.400541

7.533176

6.132518

6.207923

7.23313

7.151998

7.453867

6.998893

5.8784

7.004803

6.496595

6.510432

6.399165

6.201644

6.217925

6.310884

6.314231

6.546908

6.156834

6.618963

6.229344

1509.03291

Ellen van der Woerd

Thomas Hertog and Ellen van der Woerd

Primordial fluctuations from complex AdS saddle points

28 pages, 6 figures, journal version, minor corrections

JCAP 1602 (2016) no.02, 010

10.1088/1475-7516/2016/02/010

null

hep-th astro-ph.CO gr-qc

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

One proposal for dS/CFT is that the Hartle-Hawking (HH) wave function in the large volume limit is equal to the partition function of a Euclidean CFT deformed by various operators. All saddle points defining the semiclassical HH wave function in cosmology have a representation in which their interior geometry is part of a Euclidean AdS domain wall with complex matter fields. We compute the wave functions of scalar and tensor perturbations around homogeneous isotropic complex saddle points, turning on single scalar field matter only. We compare their predictions for the spectra of CMB perturbations with those of a different dS/CFT proposal based on the analytic continuation of inflationary universes to real asymptotically AdS domain walls. We find the predictions of both bulk calculations agree to first order in the slow roll parameters, but there is a difference at higher order which, we argue, is a signature of the HH state of the fluctuations.

[ { "created": "Wed, 9 Sep 2015 13:59:14 GMT", "version": "v1" }, { "created": "Thu, 21 Apr 2016 15:01:11 GMT", "version": "v2" } ]

2016-04-22

[ [ "Hertog", "Thomas", "" ], [ "van der Woerd", "Ellen", "" ] ]

One proposal for dS/CFT is that the Hartle-Hawking (HH) wave function in the large volume limit is equal to the partition function of a Euclidean CFT deformed by various operators. All saddle points defining the semiclassical HH wave function in cosmology have a representation in which their interior geometry is part of a Euclidean AdS domain wall with complex matter fields. We compute the wave functions of scalar and tensor perturbations around homogeneous isotropic complex saddle points, turning on single scalar field matter only. We compare their predictions for the spectra of CMB perturbations with those of a different dS/CFT proposal based on the analytic continuation of inflationary universes to real asymptotically AdS domain walls. We find the predictions of both bulk calculations agree to first order in the slow roll parameters, but there is a difference at higher order which, we argue, is a signature of the HH state of the fluctuations.

12.200222

10.528905

11.990691

10.607933

11.920946

11.95877

10.748615

10.834682

9.811709

12.753253

10.822701

10.321192

11.25112

10.665672

10.840182

11.061273

10.847679

10.732093

10.815222

11.442912

11.048403

1806.09450

Michel Dubois-Violette

Ivan Todorov, Michel Dubois-Violette

Deducing the symmetry of the standard model from the automorphism and structure groups of the exceptional Jordan algebra

16 pages, 1 figure

null

10.1142/S0217751X1850118X

Updated version of IHES/P/17/03 and LPT-ORSAY 17-15 with minor corrections

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

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

We continue the study undertaken in \cite{DV} of the exceptional Jordan algebra $J = J_3^8$ as (part of) the finite-dimensional quantum algebra in an almost classical space-time approach to particle physics. Along with reviewing known properties of $J$ and of the associated exceptional Lie groups we argue that the symmetry of the model can be deduced from the Borel-de Siebenthal theory of maximal connected subgroups of simple compact Lie groups.

[ { "created": "Sun, 17 Jun 2018 12:46:14 GMT", "version": "v1" } ]

2018-08-15

[ [ "Todorov", "Ivan", "" ], [ "Dubois-Violette", "Michel", "" ] ]

We continue the study undertaken in \cite{DV} of the exceptional Jordan algebra $J = J_3^8$ as (part of) the finite-dimensional quantum algebra in an almost classical space-time approach to particle physics. Along with reviewing known properties of $J$ and of the associated exceptional Lie groups we argue that the symmetry of the model can be deduced from the Borel-de Siebenthal theory of maximal connected subgroups of simple compact Lie groups.

13.655252

15.069297

15.249401

13.510143

14.734663

16.358828

18.000095

13.096638

12.804591

16.561031

13.136908

12.319191

13.209644

12.565909

13.331063

12.298269

12.890249

12.752779

12.481838

12.842202

12.169715

2211.00085

Giulia Isabella

Brando Bellazzini, Giulia Isabella, Massimiliano Maria Riva

Classical vs Quantum Eikonal Scattering and its Causal Structure

32 pages + Appendices and References, 5 Figures, published version

null

10.1007/JHEP04(2023)023

null

hep-th gr-qc hep-ph

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

We study the eikonal scattering of two gravitationally interacting bodies, in the regime of large angular momentum and large center of mass energy. We show that eikonal exponentiation of the scattering phase matrix is a direct consequence of the group contraction $SU(2)\to ISO(2)$, from rotations to the isometries of the plane, in the large angular momentum limit. We extend it to all orders in the scattering angle, and for all masses and spins. The emergence of the classical limit is understood in terms of the continuous-spin representations admitted by $ISO(2)$. We further investigate the competing classical vs quantum corrections to the leading classical eikonal scattering, and find several interesting examples where quantum corrections are more important than Post-Minkowskian's. As a case of study, we analyse the scattering of a photon off a massless neutral scalar field, up to next-to-leading order in the Newton constant, and to leading order in the fine structure constant. We investigate the causal structure of the eikonal regime and establish an infinite set of non-linear positivity bounds, of which positivity of time delay is the simplest.

[ { "created": "Mon, 31 Oct 2022 18:37:15 GMT", "version": "v1" }, { "created": "Mon, 9 Jan 2023 17:35:54 GMT", "version": "v2" }, { "created": "Wed, 12 Apr 2023 14:49:23 GMT", "version": "v3" } ]

2023-04-26

[ [ "Bellazzini", "Brando", "" ], [ "Isabella", "Giulia", "" ], [ "Riva", "Massimiliano Maria", "" ] ]

We study the eikonal scattering of two gravitationally interacting bodies, in the regime of large angular momentum and large center of mass energy. We show that eikonal exponentiation of the scattering phase matrix is a direct consequence of the group contraction $SU(2)\to ISO(2)$, from rotations to the isometries of the plane, in the large angular momentum limit. We extend it to all orders in the scattering angle, and for all masses and spins. The emergence of the classical limit is understood in terms of the continuous-spin representations admitted by $ISO(2)$. We further investigate the competing classical vs quantum corrections to the leading classical eikonal scattering, and find several interesting examples where quantum corrections are more important than Post-Minkowskian's. As a case of study, we analyse the scattering of a photon off a massless neutral scalar field, up to next-to-leading order in the Newton constant, and to leading order in the fine structure constant. We investigate the causal structure of the eikonal regime and establish an infinite set of non-linear positivity bounds, of which positivity of time delay is the simplest.

9.564484

8.659563

9.63271

8.379485

9.124362

9.224789

8.698471

8.591574

8.913086

10.662547

8.358916

8.551502

8.703476

8.751447

8.690146

8.664362

8.682403

8.581297

8.71637

8.938957

8.766959

1207.6691

Mohammad Sami

M. Sami, M. Shahalam, M. Skugoreva and A. Toporensky

Cosmological dynamics of non-minimally coupled scalar field system and its late time cosmic relevance

22 pages and 7 figures, minor clarifications added, revised version to appear in PRD

PRD 86,103532(2012)

10.1103/PhysRevD.86.103532

null

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

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

We investigate the cosmological dynamics of non-minimally coupled scalar field system described by $F(\phi)R$ coupling with $F(\phi)=(1-\xi\phi^N)R$($N\ge2$) and the field potential, $V(\phi)=V_0\phi^n$. We use a generic set of dynamical variables to bring out new asymptotic regimes of the underlying dynamics. However, our dynamical variables miss the most important fixed point$-$ the de Sitter solution. We make use of the original form of system of equations to investigate the issues related to this important solution. In particular, we show that the de-Sitter solution which is a dynamical attractor of the system lies in the region of negative effective gravitational constant $G_N$ thereby leading to a ghost dominated universe in future and a transient quintessence(phantom) phase with $G_N>0 $ around the present epoch (however, as demonstrated by Starobinsky in 1981, the ghost dominated universe, if exists, can not be accessed from the Universe we live in, we shall say more about this important result in the last section). We also carry out comparison of the model with other competing models of dark energy such as galileon modified gravity and others.

[ { "created": "Sat, 28 Jul 2012 08:28:14 GMT", "version": "v1" }, { "created": "Mon, 10 Sep 2012 04:32:03 GMT", "version": "v2" }, { "created": "Tue, 6 Nov 2012 00:24:56 GMT", "version": "v3" } ]

2013-05-30

[ [ "Sami", "M.", "" ], [ "Shahalam", "M.", "" ], [ "Skugoreva", "M.", "" ], [ "Toporensky", "A.", "" ] ]

We investigate the cosmological dynamics of non-minimally coupled scalar field system described by $F(\phi)R$ coupling with $F(\phi)=(1-\xi\phi^N)R$($N\ge2$) and the field potential, $V(\phi)=V_0\phi^n$. We use a generic set of dynamical variables to bring out new asymptotic regimes of the underlying dynamics. However, our dynamical variables miss the most important fixed point$-$ the de Sitter solution. We make use of the original form of system of equations to investigate the issues related to this important solution. In particular, we show that the de-Sitter solution which is a dynamical attractor of the system lies in the region of negative effective gravitational constant $G_N$ thereby leading to a ghost dominated universe in future and a transient quintessence(phantom) phase with $G_N>0 $ around the present epoch (however, as demonstrated by Starobinsky in 1981, the ghost dominated universe, if exists, can not be accessed from the Universe we live in, we shall say more about this important result in the last section). We also carry out comparison of the model with other competing models of dark energy such as galileon modified gravity and others.

10.53833

12.204746

10.777005

10.521349

11.180066

12.04932

11.58004

11.159636

11.203278

11.913766

11.249927

10.495708

10.733628

10.526212

10.669561

11.101333

10.877465

10.611049

10.789302

10.695864

10.904689

hep-th/0201079

Allan Joseph Medved

A.J.M. Medved (University of Alberta)

Quantum-Corrected Cardy Entropy for Generic 1+1-Dimensional Gravity

18 pages, Latex; references added

Class.Quant.Grav. 19 (2002) 2503-2514

10.1088/0264-9381/19/9/312

null

hep-th

null

Various studies have explored the possibility of explaining the Bekenstein-Hawking (black hole) entropy by way of some suitable state-counting procedure. Notably, many of these treatments have used the well-known Cardy formula as an intermediate step. Our current interest is a recent calculation in which Carlip has deduced the leading-order quantum correction to the (otherwise) classical Cardy formula. In this paper, we apply Carlip's formulation to the case of a generic model of two-dimensional gravity with coupling to a dilaton field. We find that the corrected Cardy entropy includes the anticipated logarithmic ``area'' term. Such a term is also evident when the entropic correction is derived independently by thermodynamic means. However, there is an apparent discrepancy between the two calculations with regard to the factor in front of the logarithm. In fact, the two values of this prefactor can only agree for very specific two-dimensional models, such as that describing Jackiw-Teitelboim theory.

[ { "created": "Mon, 14 Jan 2002 20:18:03 GMT", "version": "v1" }, { "created": "Fri, 18 Jan 2002 23:57:09 GMT", "version": "v2" } ]

2009-11-07

[ [ "Medved", "A. J. M.", "", "University of Alberta" ] ]

Various studies have explored the possibility of explaining the Bekenstein-Hawking (black hole) entropy by way of some suitable state-counting procedure. Notably, many of these treatments have used the well-known Cardy formula as an intermediate step. Our current interest is a recent calculation in which Carlip has deduced the leading-order quantum correction to the (otherwise) classical Cardy formula. In this paper, we apply Carlip's formulation to the case of a generic model of two-dimensional gravity with coupling to a dilaton field. We find that the corrected Cardy entropy includes the anticipated logarithmic ``area'' term. Such a term is also evident when the entropic correction is derived independently by thermodynamic means. However, there is an apparent discrepancy between the two calculations with regard to the factor in front of the logarithm. In fact, the two values of this prefactor can only agree for very specific two-dimensional models, such as that describing Jackiw-Teitelboim theory.

9.394503

9.877245

9.155642

8.968602

9.133939

9.376342

9.846141

8.85738

9.286083

10.302447

8.91265

9.296394

9.085276

9.061179

9.022669

9.311644

9.043751

8.921165

9.330592

9.339437

9.197557

hep-th/0210247

Stephen C. Davis

Improving the `self-tuning' mechanism with a Gauss-Bonnet term

4 pages, 1 figure, to appear in the Proceedings of the XVIII IAP Colloquium `On the nature of dark energy', Paris, 1-5 July 2002

null

hep-th

null

The effects of higher order gravity terms on a dilatonic brane world model are discussed. For a single positive tension flat 3-brane, and one infinite extra dimension, we present a particular class of solutions with finite 4-dimensional Planck scale and no naked singularities. A `self-tuning' mechanism for relaxing the cosmological constant on the brane, without a drastic fine tuning of parameters, is discussed in this context.

[ { "created": "Fri, 25 Oct 2002 16:15:58 GMT", "version": "v1" } ]

2007-05-23

[ [ "Davis", "Stephen C.", "" ] ]

The effects of higher order gravity terms on a dilatonic brane world model are discussed. For a single positive tension flat 3-brane, and one infinite extra dimension, we present a particular class of solutions with finite 4-dimensional Planck scale and no naked singularities. A `self-tuning' mechanism for relaxing the cosmological constant on the brane, without a drastic fine tuning of parameters, is discussed in this context.

10.434169

7.318932

10.244192

8.046372

8.90005

8.690098

8.402963

7.812032

7.810164

9.939144

8.199708

9.329173

10.113153

9.440828

9.382885

9.395052

9.45188

9.305606

9.170742

10.238048

9.379892

1810.03432

Djordje Minic

De-Chang Dai, Djordje Minic and Dejan Stojkovic

A new wormhole solution in de Sitter space

6 pages, 2 figures. Accepted for publication in Phys. Rev. D

Phys. Rev. D 98, 124026 (2018)

10.1103/PhysRevD.98.124026

null

hep-th gr-qc

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

We present a new wormhole solution connecting two points of the same universe separated by finite distance. Virtually all the existing solutions connect two disconnected universes, or two points of the same universe that are infinitely far away. We construct our solution by placing two black holes at the antipodes of the closed de Sitter space with a matter shell between them. The gravitational action of the matter shell and cosmological constant counteracts attractive gravity between the black holes and makes the whole configuration static. The whole space outside the wormhole mouths is causally connected, even though the wormhole is not traversable. The stress energy tensor corresponds to de Sitter vacuum everywhere outside of the black holes except at the equator where we match the black hole spacetimes, where a shell with positive energy density appears. We discuss the physical relevance of this solution in various contexts, including the cosmological constant problem.

[ { "created": "Mon, 8 Oct 2018 13:26:13 GMT", "version": "v1" }, { "created": "Fri, 12 Oct 2018 02:33:33 GMT", "version": "v2" }, { "created": "Sun, 2 Dec 2018 14:26:56 GMT", "version": "v3" } ]

2018-12-26

[ [ "Dai", "De-Chang", "" ], [ "Minic", "Djordje", "" ], [ "Stojkovic", "Dejan", "" ] ]

We present a new wormhole solution connecting two points of the same universe separated by finite distance. Virtually all the existing solutions connect two disconnected universes, or two points of the same universe that are infinitely far away. We construct our solution by placing two black holes at the antipodes of the closed de Sitter space with a matter shell between them. The gravitational action of the matter shell and cosmological constant counteracts attractive gravity between the black holes and makes the whole configuration static. The whole space outside the wormhole mouths is causally connected, even though the wormhole is not traversable. The stress energy tensor corresponds to de Sitter vacuum everywhere outside of the black holes except at the equator where we match the black hole spacetimes, where a shell with positive energy density appears. We discuss the physical relevance of this solution in various contexts, including the cosmological constant problem.

8.849104

9.050045

9.211275

8.76481

9.077042

9.011749

8.720754

8.538428

8.322368

9.608037

9.107865

8.589521

8.580767

8.300883

8.472815

8.599842

8.675741

8.620085

8.650036

8.616274

8.729449

1707.05125

Shuntaro Mizuno

Shuntaro Mizuno, Shinji Mukohyama

Primordial perturbations from inflation with a hyperbolic field-space

18 pages, 10 figures, minor corrections, references added, version accepted for publication in PRD

Phys. Rev. D 96, 103533 (2017)

10.1103/PhysRevD.96.103533

YITP-17-73, IPMU17-0099

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

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

We study primordial perturbations from hyperinflation, proposed recently and based on a hyperbolic field-space. In the previous work, it was shown that the field-space angular momentum supported by the negative curvature modifies the background dynamics and enhances fluctuations of the scalar fields qualitatively, assuming that the inflationary background is almost de Sitter. In this work, we confirm and extend the analysis based on the standard approach of cosmological perturbation in multi-field inflation. At the background level, to quantify the deviation from de Sitter, we introduce the slow-varying parameters and show that steep potentials, which usually can not drive inflation, can drive inflation. At the linear perturbation level, we obtain the power spectrum of primordial curvature perturbation and express the spectral tilt and running in terms of the slow-varying parameters. We show that hyperinflation with power-law type potentials has already been excluded by the recent Planck observations, while exponential-type potential with the exponent of order unity can be made consistent with observations as far as the power spectrum is concerned. We also argue that, in the context of a simple $D$-brane inflation, the hyperinflation requires exponentially large hyperbolic extra dimensions but that masses of Kaluza-Klein gravitons can be kept relatively heavy.

[ { "created": "Mon, 17 Jul 2017 12:53:24 GMT", "version": "v1" }, { "created": "Thu, 7 Dec 2017 02:46:16 GMT", "version": "v2" } ]

2017-12-08

[ [ "Mizuno", "Shuntaro", "" ], [ "Mukohyama", "Shinji", "" ] ]

We study primordial perturbations from hyperinflation, proposed recently and based on a hyperbolic field-space. In the previous work, it was shown that the field-space angular momentum supported by the negative curvature modifies the background dynamics and enhances fluctuations of the scalar fields qualitatively, assuming that the inflationary background is almost de Sitter. In this work, we confirm and extend the analysis based on the standard approach of cosmological perturbation in multi-field inflation. At the background level, to quantify the deviation from de Sitter, we introduce the slow-varying parameters and show that steep potentials, which usually can not drive inflation, can drive inflation. At the linear perturbation level, we obtain the power spectrum of primordial curvature perturbation and express the spectral tilt and running in terms of the slow-varying parameters. We show that hyperinflation with power-law type potentials has already been excluded by the recent Planck observations, while exponential-type potential with the exponent of order unity can be made consistent with observations as far as the power spectrum is concerned. We also argue that, in the context of a simple $D$-brane inflation, the hyperinflation requires exponentially large hyperbolic extra dimensions but that masses of Kaluza-Klein gravitons can be kept relatively heavy.

8.560504

8.955375

8.624975

8.494937

9.021714

9.407718

9.040821

8.530272

8.207524

9.517277

8.539455

8.703956

8.441243

8.152121

8.270408

8.525226

8.407903

8.281422

8.469688

8.445317

8.443069

1107.3779

Peter Koroteev

Peter Koroteev, Mikhail Shifman, Walter Vinci, Alexei Yung

Quantum Dynamics of Low-Energy Theory on Semilocal Non-Abelian Strings

41 pages, 5 figures, typos corrected

Phys. Rev. D 84, 065018 (2011)

10.1103/PhysRevD.84.065018

FTPI-MINN-11/17; UMN-TH-3007/11

hep-th

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

Recently a low-energy effective theory on non-Abelian semilocal vortices in SQCD with the U(N) gauge group and N + \tilde{N} quark flavors was obtained in field theory arXiv:1104.2077. The result is exact in a certain limit of large infrared cut-off. The resulting model was called the zn model. We study quantum dynamics of the zn model in some detail. First we solve it at large N in the leading order. Then we compare our results with those of Hanany and Tong hep-th/0403158 (the HT model) who based their derivation on a certain type-IIA formalism, rather than on a field-theory construction. In the 't Hooft limit of infinite N both model's predictions are identical. At finite N our calculations agree with the Hanany-Tong results only in the BPS sector. Beyond the BPS sector there is no agreement between the zn and HT models. Finally, we study perturbation theory of the zn model from various standpoints.

[ { "created": "Tue, 19 Jul 2011 17:19:05 GMT", "version": "v1" }, { "created": "Thu, 29 Sep 2011 16:06:09 GMT", "version": "v2" } ]

2011-09-30

[ [ "Koroteev", "Peter", "" ], [ "Shifman", "Mikhail", "" ], [ "Vinci", "Walter", "" ], [ "Yung", "Alexei", "" ] ]

Recently a low-energy effective theory on non-Abelian semilocal vortices in SQCD with the U(N) gauge group and N + \tilde{N} quark flavors was obtained in field theory arXiv:1104.2077. The result is exact in a certain limit of large infrared cut-off. The resulting model was called the zn model. We study quantum dynamics of the zn model in some detail. First we solve it at large N in the leading order. Then we compare our results with those of Hanany and Tong hep-th/0403158 (the HT model) who based their derivation on a certain type-IIA formalism, rather than on a field-theory construction. In the 't Hooft limit of infinite N both model's predictions are identical. At finite N our calculations agree with the Hanany-Tong results only in the BPS sector. Beyond the BPS sector there is no agreement between the zn and HT models. Finally, we study perturbation theory of the zn model from various standpoints.

9.949317

10.223424

10.649812

9.400467

10.771667

9.893597

9.953854

9.868015

9.229047

12.876503

9.05314

9.277364

9.99032

9.279235

9.299002

9.576677

9.340725

9.261419

9.407902

10.177103

9.193295

hep-th/0302207

Dmitrij Fursaev

V. Frolov, D. Fursaev, A. Zelnikov

CFT and Black Hole Entropy in Induced Gravity

JHEP style, 22 pages

JHEP 0303 (2003) 038

10.1088/1126-6708/2003/03/038

Alberta-Thy-05-03

hep-th

null

We present a derivation of the entropy of black holes in induced gravity models based on conformal properties of induced gravity constituents near the horizon. The four-dimensional (4D) theory is first reduced to a tower of two-dimensional (2D) gravities such that each 2D theory is induced by fields with certain momentum $p$ along the horizon. We demonstrate that in the vicinity of the horizon constituents of the 2D induced gravities are described by conformal field theories (CFT) with specific central charges depending on spin and non-minimal couplings and with specific correlation lengths depending on the masses of fields and on the momentum $p$. This enables one to use CFT methods to count partial entropies $s(p)$ in each 2D sector. The sum of partial entropies correctly reproduces the Bekenstein-Hawking entropy of the 4D induced gravity theory. Our results indicate that earlier attempts of the derivation of the entropy of black holes based on a near-horizon CFT may have a microscopic realization.

[ { "created": "Wed, 26 Feb 2003 10:51:55 GMT", "version": "v1" } ]

2009-11-10

[ [ "Frolov", "V.", "" ], [ "Fursaev", "D.", "" ], [ "Zelnikov", "A.", "" ] ]

We present a derivation of the entropy of black holes in induced gravity models based on conformal properties of induced gravity constituents near the horizon. The four-dimensional (4D) theory is first reduced to a tower of two-dimensional (2D) gravities such that each 2D theory is induced by fields with certain momentum $p$ along the horizon. We demonstrate that in the vicinity of the horizon constituents of the 2D induced gravities are described by conformal field theories (CFT) with specific central charges depending on spin and non-minimal couplings and with specific correlation lengths depending on the masses of fields and on the momentum $p$. This enables one to use CFT methods to count partial entropies $s(p)$ in each 2D sector. The sum of partial entropies correctly reproduces the Bekenstein-Hawking entropy of the 4D induced gravity theory. Our results indicate that earlier attempts of the derivation of the entropy of black holes based on a near-horizon CFT may have a microscopic realization.

8.059133

7.829381

7.863502

7.639043

7.719194

8.370726

8.20872

7.986761

7.408623

8.43261

7.33133

7.519304

7.559345

7.417346

7.660311

7.554948

7.646318

7.429938

7.466338

7.685341

7.519551

hep-th/9406121

Richard Szabo

Gordon W. Semenoff and Richard J. Szabo

Equivariant Localization, Spin Systems and Topological Quantum Theory on Riemann Surfaces

15 pages, Plain TeX; UBCTP-94-005

Mod.Phys.Lett. A9 (1994) 2705-2718

10.1142/S0217732394002550

null

hep-th

null

We study equivariant localization formulas for phase space path integrals when the phase space is a multiply connected compact Riemann surface. We consider the Hamiltonian systems to which the localization formulas are applicable and show that the localized partition function for such systems is a topological invariant which represents the non-trivial homology classes of the phase space. We explicitly construct the coherent states in the canonical quantum theory and show that the Hilbert space is finite dimensional with the wavefunctions carrying a projective representation of the discrete homology group of the phase space. The corresponding coherent state path integral then describes the quantum dynamics of a novel spin system given by the quantization of a non-symmetric coadjoint Lie group orbit. We also briefly discuss the geometric structure of these quantum systems.

[ { "created": "Sat, 18 Jun 1994 00:26:40 GMT", "version": "v1" } ]

2015-06-26

[ [ "Semenoff", "Gordon W.", "" ], [ "Szabo", "Richard J.", "" ] ]

We study equivariant localization formulas for phase space path integrals when the phase space is a multiply connected compact Riemann surface. We consider the Hamiltonian systems to which the localization formulas are applicable and show that the localized partition function for such systems is a topological invariant which represents the non-trivial homology classes of the phase space. We explicitly construct the coherent states in the canonical quantum theory and show that the Hilbert space is finite dimensional with the wavefunctions carrying a projective representation of the discrete homology group of the phase space. The corresponding coherent state path integral then describes the quantum dynamics of a novel spin system given by the quantization of a non-symmetric coadjoint Lie group orbit. We also briefly discuss the geometric structure of these quantum systems.

10.01127

10.287738

10.646445

9.632926

10.315226

10.639629

10.268745

9.920669

10.145334

11.160188

10.608004

9.853688

9.551144

9.809941

9.972931

9.603731

9.909763

9.256327

9.930191

10.269342

9.362287

hep-th/9303120

null

Ansar Fayyazuddin

Exact Ground State Wave Functions for N Anyons in a Magnetic Field on a Torus

10 pages, Latex document, USITP-93-07

Mod. Phys. Lett. A8 (1993) 3173-3186

10.1142/S0217732393002117

null

hep-th

null

The complete set of ground state wave functions for N anyons in an external magnetic field on the torus is found. The cases when the filling factor is less than or equal to one are considered. The single valued description of anyons is employed through out by coupling bosons to a Chern-Simons field. At the end, the Chern-Simons interaction is removed by a singular gauge transformation as a result of which the wave functions become multi-component in agreement with other studies.

[ { "created": "Mon, 22 Mar 1993 14:14:00 GMT", "version": "v1" } ]

2015-06-26

[ [ "Fayyazuddin", "Ansar", "" ] ]

The complete set of ground state wave functions for N anyons in an external magnetic field on the torus is found. The cases when the filling factor is less than or equal to one are considered. The single valued description of anyons is employed through out by coupling bosons to a Chern-Simons field. At the end, the Chern-Simons interaction is removed by a singular gauge transformation as a result of which the wave functions become multi-component in agreement with other studies.

12.462979

9.983911

12.681089

11.074533

10.204702

11.409968

10.790071

10.81973

9.924946

12.853153

10.270695

10.562572

11.389826

10.308208

10.730049

11.252318

10.723271

11.110489

10.923919

12.241527

11.086029

hep-th/0204240

Shoichi Kawamoto

H. Kawai, S. Kawamoto, T. Kuroki, T. Matsuo and S. Shinohara (Kyoto Univ.)

Mean Field Approximation of IIB Matrix Model and Emergence of Four Dimensional Space-Time

43 pages, 108 eps files and 1 style file included, some typos, symmetry factors, and graphs are corrected. final version

Nucl.Phys.B647:153-189,2002

10.1016/S0550-3213(02)00908-2

KUNS-1779

hep-th

null

For the purpose of analyzing non-perturbative dynamics of string theory, Nishimura and Sugino have applied an improved mean field approximation (IMFA) to IIB matrix model. We have extracted the essence of the IMFA and obtained a general scheme, an improved Taylor expansion, that can be applied to a wide class of series which is not necessarily convergent. This approximation scheme with the help of the 2PI free energy enables us to perform higher order calculations. We have shown that the value of the free energy is stable at higher orders, which supports the validity of the approximation. Moreover, the ratio between the extent of ``our'' space-time and that of the internal space is found to increase rapidly as we take the higher orders into account. Our results suggest that the four dimensional space-time emerges spontaneously in IIB matrix model.

[ { "created": "Mon, 29 Apr 2002 09:39:14 GMT", "version": "v1" }, { "created": "Wed, 1 May 2002 13:46:36 GMT", "version": "v2" }, { "created": "Sat, 1 Jun 2002 16:16:41 GMT", "version": "v3" }, { "created": "Thu, 28 Nov 2002 05:33:48 GMT", "version": "v4" } ]

2008-11-26

[ [ "Kawai", "H.", "", "Kyoto\n Univ." ], [ "Kawamoto", "S.", "", "Kyoto\n Univ." ], [ "Kuroki", "T.", "", "Kyoto\n Univ." ], [ "Matsuo", "T.", "", "Kyoto\n Univ." ], [ "Shinohara", "S.", "", "Kyoto\n Univ." ] ]

For the purpose of analyzing non-perturbative dynamics of string theory, Nishimura and Sugino have applied an improved mean field approximation (IMFA) to IIB matrix model. We have extracted the essence of the IMFA and obtained a general scheme, an improved Taylor expansion, that can be applied to a wide class of series which is not necessarily convergent. This approximation scheme with the help of the 2PI free energy enables us to perform higher order calculations. We have shown that the value of the free energy is stable at higher orders, which supports the validity of the approximation. Moreover, the ratio between the extent of ``our'' space-time and that of the internal space is found to increase rapidly as we take the higher orders into account. Our results suggest that the four dimensional space-time emerges spontaneously in IIB matrix model.

9.253438

9.665684

10.064464

8.709477

9.538427

9.418574

9.004014

8.768573

8.896235

10.539825

8.899757

8.959113

9.358428

8.93257

8.775439

9.021553

8.599622

8.765059

8.801289

9.339684

8.636462

1412.8297

Bernard de Wit

Franz Ciceri, Bernard de Wit, Oscar Varela

IIB Supergravity and the E6(6) covariant vector-tensor hierarchy

48 pages, added an extra affiliation

null

10.1007/JHEP04(2015)094

Nikhef-2014-052, ITP-UU-14/30, CPHT-RR097.1214

hep-th

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

IIB supergravity is reformulated with a manifest local USp(8) invariance that makes the embedding of five-dimensional maximal supergravities transparent. In this formulation the ten-dimensional theory exhibits all the 27 one-form fields and 22 of the 27 two-form fields that are required by the vector-tensor hierarchy of the five-dimensional theory. The missing 5 two-form fields must transform in the same representation as a descendant of the ten-dimensional `dual graviton'. The invariant E6(6) symmetric tensor that appears in the vector-tensor hierarchy is reproduced. Generalized vielbeine are derived from the supersymmetry transformations of the vector fields, as well as consistent expressions for the USp(8) covariant fermion fields. Implications are discussed for the consistency of the truncation of IIB supergravity compactified on the five-sphere to maximal gauged supergravity in five space-time dimensions with an SO(6) gauge group.

[ { "created": "Mon, 29 Dec 2014 10:28:14 GMT", "version": "v1" }, { "created": "Wed, 18 Feb 2015 20:58:32 GMT", "version": "v2" }, { "created": "Tue, 3 Nov 2015 15:11:04 GMT", "version": "v3" } ]

2015-11-04

[ [ "Ciceri", "Franz", "" ], [ "de Wit", "Bernard", "" ], [ "Varela", "Oscar", "" ] ]

IIB supergravity is reformulated with a manifest local USp(8) invariance that makes the embedding of five-dimensional maximal supergravities transparent. In this formulation the ten-dimensional theory exhibits all the 27 one-form fields and 22 of the 27 two-form fields that are required by the vector-tensor hierarchy of the five-dimensional theory. The missing 5 two-form fields must transform in the same representation as a descendant of the ten-dimensional `dual graviton'. The invariant E6(6) symmetric tensor that appears in the vector-tensor hierarchy is reproduced. Generalized vielbeine are derived from the supersymmetry transformations of the vector fields, as well as consistent expressions for the USp(8) covariant fermion fields. Implications are discussed for the consistency of the truncation of IIB supergravity compactified on the five-sphere to maximal gauged supergravity in five space-time dimensions with an SO(6) gauge group.

9.492064

9.372138

10.244231

8.886931

9.467799

9.043712

9.496689

9.797826

9.319643

10.630671

8.786149

8.593878

9.163575

8.986044

9.086956

8.673651

8.575678

8.657743

8.825756

9.55009

8.593366

hep-th/9403169

Sharlene Cartier

M. Baker, James S. Ball, F. Zachariasen

Classical Electrodynamics with Dual Potentials

18 pages, 3 figures not included, CALT-68-1890

null

hep-th

null

We present Dirac's method for using dual potentials to solve classical electrodynamics for an oppositely charged pair of particles, with a view to extending these techniques to non-Abelian gauge theories.

[ { "created": "Mon, 28 Mar 1994 18:41:55 GMT", "version": "v1" } ]

2009-09-25

[ [ "Baker", "M.", "" ], [ "Ball", "James S.", "" ], [ "Zachariasen", "F.", "" ] ]

We present Dirac's method for using dual potentials to solve classical electrodynamics for an oppositely charged pair of particles, with a view to extending these techniques to non-Abelian gauge theories.

14.578325

11.459177

11.255348

10.89915

10.557398

10.03902

10.913561

12.17626

10.961095

12.598902

11.732394

11.330886

12.475248

11.404795

10.715974

12.193005

11.712082

12.175215

11.384954

13.022673

12.008796

2101.08341

Giorgio Comitini

Fabio Siringo and Giorgio Comitini

Thermal extension of the screened massive expansion in the Landau gauge

null

Phys. Rev. D 103, 074014 (2021)

10.1103/PhysRevD.103.074014

null

hep-th hep-lat

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

The massive screened expansion for pure SU(3) Yang-Mills theory is extended to finite temperature in the Landau gauge. All thermal integrals are evaluated analytically up to an external one-dimensional integration, yielding explicit integral representations of analytic functions which can be continued to the whole complex plane. The gluon propagator is first explored in the Euclidean space by making use of parameters obtained from first principles, which were already found to accurately reproduce the lattice data at zero temperature. Within such a scheme, the agreement with the lattice at $T\neq 0$ turns out to be only qualitative. The description improves provided that the parameters are tuned in a temperature-dependent way by a fit to the data, carried out separately for each component of the propagator; in particular, the transverse component closely follows the lattice data, while the agreement of the longitudinal component with the data is poor at small momenta and moderately high temperatures. The dispersion relations of the quasi-gluon are then extracted from the pole trajectory in the complex plane using the fitted parameters. A crossover is found for the mass, suppressed by temperature like an order parameter in the confined phase, while increasing like an ordinary thermal mass in the deconfined phase.

[ { "created": "Wed, 20 Jan 2021 22:08:28 GMT", "version": "v1" }, { "created": "Fri, 9 Apr 2021 15:42:05 GMT", "version": "v2" } ]

2021-04-21

[ [ "Siringo", "Fabio", "" ], [ "Comitini", "Giorgio", "" ] ]

The massive screened expansion for pure SU(3) Yang-Mills theory is extended to finite temperature in the Landau gauge. All thermal integrals are evaluated analytically up to an external one-dimensional integration, yielding explicit integral representations of analytic functions which can be continued to the whole complex plane. The gluon propagator is first explored in the Euclidean space by making use of parameters obtained from first principles, which were already found to accurately reproduce the lattice data at zero temperature. Within such a scheme, the agreement with the lattice at $T\neq 0$ turns out to be only qualitative. The description improves provided that the parameters are tuned in a temperature-dependent way by a fit to the data, carried out separately for each component of the propagator; in particular, the transverse component closely follows the lattice data, while the agreement of the longitudinal component with the data is poor at small momenta and moderately high temperatures. The dispersion relations of the quasi-gluon are then extracted from the pole trajectory in the complex plane using the fitted parameters. A crossover is found for the mass, suppressed by temperature like an order parameter in the confined phase, while increasing like an ordinary thermal mass in the deconfined phase.

11.479497

11.308547

9.906359

10.073062

11.012975

11.938464

11.541358

11.052932

10.049202

10.99718

10.553241

10.387136

10.051078

10.005612

10.404808

10.51019

10.452121

10.5312

9.96524

10.084704

10.049597

hep-th/0104064

Giuseppe Carlino

Giuseppe Carlino, Kenichi Konishi, S. Prem Kumar and Hitoshi Murayama

Vacuum Structure and Flavor Symmetry Breaking in Supersymmetric SO(n_c) Gauge Theories

67 pages, harvmac; Typos corrected, section 4.1 reworded

Nucl.Phys.B608:51-102,2001

10.1016/S0550-3213(01)00253-X

SWAT/288, IFUP-TH 14/2001, UCB-PTH-01/13, LBNL-47700

hep-th hep-ph

null

We determine the vacuum structure and phases of N=1 theories obtained via a mass \mu for the adjoint chiral superfield in N=2, SO(n_c) SQCD. For large number of flavors these theories have two groups of vacua. The first exhibits dynamical breaking of flavor symmetry \USp(2n_f) \to U(n_f) and arises as a relevant deformation of a non-trivial superconformal theory. These are in the confined phase. The second group, in an IR-free phase with unbroken flavor symmetry, is produced from a Coulomb branch singularity with Seiberg's dual gauge symmetry. In the large-\mu regime both groups of vacua are well-described by dual quarks and mesons, and dynamical symmetry breaking in the first group occurs via meson condensation. We follow the description of these vacua from weak to strong coupling and demonstrate a nontrivial agreement between the phases and the number of vacua in the two regimes. We construct the semiclassical monopole flavor multiplets and argue that their multiplicity is consistent with the number of N=1 vacua.

[ { "created": "Fri, 6 Apr 2001 20:03:12 GMT", "version": "v1" }, { "created": "Thu, 12 Apr 2001 07:48:27 GMT", "version": "v2" } ]

2010-05-28

[ [ "Carlino", "Giuseppe", "" ], [ "Konishi", "Kenichi", "" ], [ "Kumar", "S. Prem", "" ], [ "Murayama", "Hitoshi", "" ] ]

We determine the vacuum structure and phases of N=1 theories obtained via a mass \mu for the adjoint chiral superfield in N=2, SO(n_c) SQCD. For large number of flavors these theories have two groups of vacua. The first exhibits dynamical breaking of flavor symmetry \USp(2n_f) \to U(n_f) and arises as a relevant deformation of a non-trivial superconformal theory. These are in the confined phase. The second group, in an IR-free phase with unbroken flavor symmetry, is produced from a Coulomb branch singularity with Seiberg's dual gauge symmetry. In the large-\mu regime both groups of vacua are well-described by dual quarks and mesons, and dynamical symmetry breaking in the first group occurs via meson condensation. We follow the description of these vacua from weak to strong coupling and demonstrate a nontrivial agreement between the phases and the number of vacua in the two regimes. We construct the semiclassical monopole flavor multiplets and argue that their multiplicity is consistent with the number of N=1 vacua.

9.499931

9.195356

10.80772

8.817353

9.731652

9.487915

9.423171

8.77647

8.356425

10.915739

9.03792

9.395967

9.708827

9.185539

9.440192

9.022828

9.066169

9.21375

9.29212

10.142379

9.04679

hep-th/0103218

Manoelito M. de Souza

Discrete fields, general relativity, other possible implications and experimental evidences

30 pages, 3 figures

null

hep-th astro-ph cond-mat.stat-mech gr-qc math-ph math.MP

null

The physical meaning, the properties and the consequences of a discrete scalar field are discussed; limits for the validity of a mathematical description of fundamental physics in terms of continuous fields are a natural outcome of discrete fields with discrete interactions. The discrete scalar field is ultimately the gravitational field of general relativity, necessarily, and there is no place for any other fundamental scalar field, in this context. Part of the paper comprehends a more generic discussion about the nature, if continuous or discrete, of fundamental interactions. There is a critical point defined by the equivalence between the two descriptions. Discrepancies between them can be observed far away from this point as a continuous-interaction is always stronger below it and weaker above it than a discrete one. It is possible that some discrete-field manifestations have already been observed in the flat rotation curves of galaxies and in the apparent anomalous acceleration of the Pioneer spacecrafts. The existence of a critical point is equivalent to the introduction of an effective-acceleration scale which may put Milgrom's MOND on a more solid physical basis. Contact is also made, on passing, with inflation in cosmological theories and with Tsallis generalized one-parameter statistics which is regarded as proper for discrete-interaction systems. The validity of Botzmann statistics is then reduced to idealized asymptotic states which, rigorously, are reachable only after an infinite number of internal interactions . Tsallis parameter is then a measure of how close a system is from its idealized asymptotic state.

[ { "created": "Mon, 26 Mar 2001 21:43:46 GMT", "version": "v1" } ]

2007-05-23

[ [ "de Souza", "Manoelito M.", "" ] ]

The physical meaning, the properties and the consequences of a discrete scalar field are discussed; limits for the validity of a mathematical description of fundamental physics in terms of continuous fields are a natural outcome of discrete fields with discrete interactions. The discrete scalar field is ultimately the gravitational field of general relativity, necessarily, and there is no place for any other fundamental scalar field, in this context. Part of the paper comprehends a more generic discussion about the nature, if continuous or discrete, of fundamental interactions. There is a critical point defined by the equivalence between the two descriptions. Discrepancies between them can be observed far away from this point as a continuous-interaction is always stronger below it and weaker above it than a discrete one. It is possible that some discrete-field manifestations have already been observed in the flat rotation curves of galaxies and in the apparent anomalous acceleration of the Pioneer spacecrafts. The existence of a critical point is equivalent to the introduction of an effective-acceleration scale which may put Milgrom's MOND on a more solid physical basis. Contact is also made, on passing, with inflation in cosmological theories and with Tsallis generalized one-parameter statistics which is regarded as proper for discrete-interaction systems. The validity of Botzmann statistics is then reduced to idealized asymptotic states which, rigorously, are reachable only after an infinite number of internal interactions . Tsallis parameter is then a measure of how close a system is from its idealized asymptotic state.

15.858438

18.352158

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15.637348

15.547796

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