LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/0009239

Giuseppe Policastro

P. A. Grassi, G. Policastro and M. Porrati

Covariant Quantization of the Brink-Schwarz Superparticle

24 pages

Nucl.Phys. B606 (2001) 380-400

10.1016/S0550-3213(01)00225-5

NYU-TH/00/09/10, SNS-PH-00-14

hep-th

null

The quantization of the Brink-Schwarz-Casalbuoni superparticle is performed in an explicitly covariant way using the antibracket formalism. Since an infinite number of ghost fields are required, within a suitable off-shell twistor-like formalism, we are able to fix the gauge of each ghost sector without modifying the physical content of the theory. The computation reveals that the antibracket cohomology contains only the physical degrees of freedom.

[ { "created": "Thu, 28 Sep 2000 21:57:00 GMT", "version": "v1" } ]

2009-10-31

[ [ "Grassi", "P. A.", "" ], [ "Policastro", "G.", "" ], [ "Porrati", "M.", "" ] ]

The quantization of the Brink-Schwarz-Casalbuoni superparticle is performed in an explicitly covariant way using the antibracket formalism. Since an infinite number of ghost fields are required, within a suitable off-shell twistor-like formalism, we are able to fix the gauge of each ghost sector without modifying the physical content of the theory. The computation reveals that the antibracket cohomology contains only the physical degrees of freedom.

10.869213

9.0527

11.253929

8.79341

9.304803

8.916257

9.271015

9.47455

8.945249

11.208979

9.210992

9.155902

11.167457

9.348228

9.38812

9.416482

9.250374

9.349551

9.400662

11.582196

9.803177

hep-th/0611092

Nikolay Gromov

N.A. Gromov

Gauge Theories with Cayley-Klein $SO(2;j)$ and $SO(3;j)$ Gauge Groups

14 pages, 5 figures

Phys.Rev.Lett.76:3842-3845,1996

10.1103/PhysRevLett.76.3842

null

hep-th

null

Gauge theories with the orthogonal Cayley-Klein gauge groups $SO(2;j)$ and $SO(3;{\bf j})$ are regarded. For nilpotent values of the contraction parameters ${\bf j}$ these groups are isomorphic to the non-semisimple Euclid, Newton, Galilei groups and corresponding matter spaces are fiber spaces with degenerate metrics. It is shown that the contracted gauge field theories describe the same set of fields and particle mass as $SO(2), SO(3)$ gauge theories, if Lagrangians in the base and in the fibers all are taken into account. Such theories based on non-semisimple contracted group provide more simple field interactions as compared with the initial ones.

[ { "created": "Wed, 8 Nov 2006 11:56:49 GMT", "version": "v1" } ]

2008-11-26

[ [ "Gromov", "N. A.", "" ] ]

Gauge theories with the orthogonal Cayley-Klein gauge groups $SO(2;j)$ and $SO(3;{\bf j})$ are regarded. For nilpotent values of the contraction parameters ${\bf j}$ these groups are isomorphic to the non-semisimple Euclid, Newton, Galilei groups and corresponding matter spaces are fiber spaces with degenerate metrics. It is shown that the contracted gauge field theories describe the same set of fields and particle mass as $SO(2), SO(3)$ gauge theories, if Lagrangians in the base and in the fibers all are taken into account. Such theories based on non-semisimple contracted group provide more simple field interactions as compared with the initial ones.

16.927164

15.142498

18.92321

15.450474

17.355463

17.941555

15.683414

15.206738

16.15843

21.779654

16.543283

15.964731

17.595566

17.005157

16.619539

15.773668

16.415169

15.848474

16.401911

16.402939

16.325382

1903.05732

Juan Pedraza

Ben Freivogel, Victor Godet, Edward Morvan, Juan F. Pedraza and Antonio Rotundo

Lessons on Eternal Traversable Wormholes in AdS

22 pages, 4 figures. v2: minor additions, matches published version

JHEP 1907 (2019) 122

10.1007/JHEP07(2019)122

null

hep-th gr-qc

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

We attempt to construct eternal traversable wormholes connecting two asymptotically AdS regions by introducing a static coupling between their dual CFTs. We prove that there are no semiclassical traversable wormholes with Poincar\'e invariance in the boundary directions in higher than two spacetime dimensions. We critically examine the possibility of evading our result by coupling a large number of bulk fields. Static, traversable wormholes with less symmetry may be possible, and could be constructed using the ingredients we develop here.

[ { "created": "Wed, 13 Mar 2019 21:46:39 GMT", "version": "v1" }, { "created": "Wed, 24 Jul 2019 17:27:39 GMT", "version": "v2" } ]

2019-07-25

[ [ "Freivogel", "Ben", "" ], [ "Godet", "Victor", "" ], [ "Morvan", "Edward", "" ], [ "Pedraza", "Juan F.", "" ], [ "Rotundo", "Antonio", "" ] ]

We attempt to construct eternal traversable wormholes connecting two asymptotically AdS regions by introducing a static coupling between their dual CFTs. We prove that there are no semiclassical traversable wormholes with Poincar\'e invariance in the boundary directions in higher than two spacetime dimensions. We critically examine the possibility of evading our result by coupling a large number of bulk fields. Static, traversable wormholes with less symmetry may be possible, and could be constructed using the ingredients we develop here.

12.930508

9.465671

12.987229

10.109626

10.113126

10.509302

9.414939

10.076459

9.535014

12.912814

10.2366

10.425543

11.288204

10.974437

10.926224

10.606633

10.549389

10.80329

10.843287

11.94291

10.646554

1911.10932

Ahmed Ayad

Supersymmetric Quantum Mechanics and Path Integrals

Master thesis, University of the Witwatersrand

null

hep-th

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

Supersymmetry plays a main role in all current thinking about superstring theory. Indeed, many remarkable properties of string theory have been explained using supersymmetry as a tool. In this dissertation, we review the basic formulation of supersymmetric quantum mechanics starting with introducing the concepts of supercharges and superalgebra. We show that, if there is a supersymmetric state, it is the zero-energy ground state. If such a state exists, the supersymmetry is unbroken otherwise it is broken. So far, there has been no unbroken supersymmetry observed in nature, and if nature is described by supersymmetry, it must be broken. In fact, supersymmetry may be broken spontaneously at any order of perturbation theory, or dynamically due to non-perturbative effects. The goal of this dissertation is to study the methods of supersymmetry breaking. For this purpose, special attention is given to discuss the normalization of the ground state of the supersymmetric harmonic oscillator. Then we explain that perturbation theory gives us incorrect results for both the ground state wave function as well as the energy spectrum and it fails to give an explanation to the supersymmetry breaking. Later in the dissertation, a review of the uses of instantons in quantum mechanics is given. In particular, instantons are used to compute the tunneling effects within the path integral approach to quantum mechanics. As a result, we give evidence that the instantons, which are a non-perturbative effect in quantum mechanics and can not be seen in perturbation theory, leads to calculate the corrections to the ground state energy and provides a possible explanation for the supersymmetry breaking.

[ { "created": "Fri, 22 Nov 2019 14:15:03 GMT", "version": "v1" } ]

2019-11-26

[ [ "Ayad", "Ahmed", "" ] ]

Supersymmetry plays a main role in all current thinking about superstring theory. Indeed, many remarkable properties of string theory have been explained using supersymmetry as a tool. In this dissertation, we review the basic formulation of supersymmetric quantum mechanics starting with introducing the concepts of supercharges and superalgebra. We show that, if there is a supersymmetric state, it is the zero-energy ground state. If such a state exists, the supersymmetry is unbroken otherwise it is broken. So far, there has been no unbroken supersymmetry observed in nature, and if nature is described by supersymmetry, it must be broken. In fact, supersymmetry may be broken spontaneously at any order of perturbation theory, or dynamically due to non-perturbative effects. The goal of this dissertation is to study the methods of supersymmetry breaking. For this purpose, special attention is given to discuss the normalization of the ground state of the supersymmetric harmonic oscillator. Then we explain that perturbation theory gives us incorrect results for both the ground state wave function as well as the energy spectrum and it fails to give an explanation to the supersymmetry breaking. Later in the dissertation, a review of the uses of instantons in quantum mechanics is given. In particular, instantons are used to compute the tunneling effects within the path integral approach to quantum mechanics. As a result, we give evidence that the instantons, which are a non-perturbative effect in quantum mechanics and can not be seen in perturbation theory, leads to calculate the corrections to the ground state energy and provides a possible explanation for the supersymmetry breaking.

6.457014

6.966381

7.136534

6.708059

6.687971

6.932422

6.796288

6.690133

7.026842

7.561241

6.493787

6.479623

6.701387

6.535287

6.428857

6.622948

6.409674

6.506249

6.499432

6.732788

6.482423

1405.6212

Mehmet Ozkan

Eric Bergshoeff, Mehmet Ozkan

3D Born-Infeld Gravity and Supersymmetry

33 Pages, v2: Typos Corrected, Version appeared in JHEP

JHEP08(2014)149

10.1007/JHEP08(2014)149

UG-72-2014

hep-th gr-qc

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

We construct the most general parity-even higher-derivative N=1 off-shell supergravity model in three dimensions with a maximum of six derivatives. Excluding terms quadratic in the curvature tensor with two explicit derivatives and requiring the absence of ghosts in a linearized approximation around an AdS_3 background, we find that there is a unique supersymmetric invariant which we call supersymmetric `cubic extended' New Massive Gravity. The purely gravitational part of this invariant is in agreement with an earlier analysis based upon the holographic c-theorem and coincides with an expansion of Born-Infeld gravity to the required order. Our results lead us to propose an expression for the bosonic part of off-shell N=1 Born-Infeld supergravity in three dimensions that is free of ghosts. We show that different truncations of a perturbative expansion of this expression gives rise to the bosonic part of (i) Einstein supergravity; (ii) supersymmetric New Massive Gravity and (iii) supersymmetric `cubic extended' New Massive Gravity.

[ { "created": "Fri, 23 May 2014 20:05:13 GMT", "version": "v1" }, { "created": "Tue, 26 Aug 2014 20:45:17 GMT", "version": "v2" } ]

2014-08-28

[ [ "Bergshoeff", "Eric", "" ], [ "Ozkan", "Mehmet", "" ] ]

We construct the most general parity-even higher-derivative N=1 off-shell supergravity model in three dimensions with a maximum of six derivatives. Excluding terms quadratic in the curvature tensor with two explicit derivatives and requiring the absence of ghosts in a linearized approximation around an AdS_3 background, we find that there is a unique supersymmetric invariant which we call supersymmetric `cubic extended' New Massive Gravity. The purely gravitational part of this invariant is in agreement with an earlier analysis based upon the holographic c-theorem and coincides with an expansion of Born-Infeld gravity to the required order. Our results lead us to propose an expression for the bosonic part of off-shell N=1 Born-Infeld supergravity in three dimensions that is free of ghosts. We show that different truncations of a perturbative expansion of this expression gives rise to the bosonic part of (i) Einstein supergravity; (ii) supersymmetric New Massive Gravity and (iii) supersymmetric `cubic extended' New Massive Gravity.

7.938414

7.692107

8.361184

7.331817

7.687183

7.932076

7.877677

7.458447

7.526551

9.153967

7.395094

7.496907

8.12172

7.644915

7.698466

7.474944

7.602027

7.623396

7.628654

8.009964

7.272979

hep-th/0201202

Eunsang Kim

K-homology in algebraic geometry and D-branes

11pages, minor changes, references added

null

hep-th

null

In this article, we study how the Grothendieck group of coherent sheaves can be used to describe D-branes. We show how global bound state construction in topological $K$-theory can be adapted to our context, showing that D-branes wrapping a subvariety are holomorphically classified by a relative $K$-group. By taking the duality between the relative $K$-groups and the $K$-homologies, we show that D-brane charge of type IIB superstrings is properly classified by the $K$-homology.

[ { "created": "Fri, 25 Jan 2002 07:35:30 GMT", "version": "v1" }, { "created": "Wed, 6 Mar 2002 18:09:43 GMT", "version": "v2" } ]

2007-05-23

[ [ "Kim", "Eunsang", "" ] ]

In this article, we study how the Grothendieck group of coherent sheaves can be used to describe D-branes. We show how global bound state construction in topological $K$-theory can be adapted to our context, showing that D-branes wrapping a subvariety are holomorphically classified by a relative $K$-group. By taking the duality between the relative $K$-groups and the $K$-homologies, we show that D-brane charge of type IIB superstrings is properly classified by the $K$-homology.

8.268923

8.666042

8.698916

7.811452

8.214873

8.030557

8.156484

7.426562

7.839317

10.298685

7.832146

7.579875

8.287076

7.735278

8.05771

7.766397

7.97227

7.688185

7.459222

7.848241

7.470801

hep-th/9905025

Patrick Peter

Brandon Carter and Patrick Peter

Dynamics and integrability property of the chiral string model

7 pages, 2 eps figures included, uses ReVTeX

Phys.Lett. B466 (1999) 41-49

10.1016/S0370-2693(99)01070-9

DARC/99-09

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

null

The effect of fermionic string conductivity by purely right (or purely left) moving ``zero modes'' is shown to be governed by a simple Lagrangian characterising a certain ``chiral'' (null current carrying) string model whose dynamical equations of motion turn out to be explicitly integrable in a flat spacetime background.

[ { "created": "Wed, 5 May 1999 07:24:18 GMT", "version": "v1" } ]

2009-10-31

[ [ "Carter", "Brandon", "" ], [ "Peter", "Patrick", "" ] ]

The effect of fermionic string conductivity by purely right (or purely left) moving ``zero modes'' is shown to be governed by a simple Lagrangian characterising a certain ``chiral'' (null current carrying) string model whose dynamical equations of motion turn out to be explicitly integrable in a flat spacetime background.

27.198496

21.951263

24.708525

24.919155

24.677729

23.076086

23.572376

25.943247

24.280375

28.07147

23.366079

23.410242

22.960007

21.898281

21.723465

22.703114

22.700754

22.155197

22.811892

22.549896

22.231667

1412.0200

Alexander Reshetnyak

Alexander A. Reshetnyak

BRST-BFV Lagrangian Formulations for Higher Spin Fields subject to two-column Young Tableaux

6 pages, based on the talk at "Quantum Field Theory and Gravity 2014" (QFTG'2014, July 28-August 3, 2014, Tomsk, Russia) to appear in TSPU Bulletin 12 (2014)

Tomsk State Pedagogical University Bulletin 12 (2014) 211-216

null

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

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

The details of Lagrangian description of irreducible integer higher-spin representations of the Poincare group with an Young tableaux $Y[\hat{s}_1,\hat{s}_2]$ having $2$ columns are considered for Bose particles propagated on an arbitrary dimensional Minkowski space-time. The procedure is based, first, on using of an auxiliary Fock space generated by Fermi oscillators (antisymmetric basis), second, on construction of the Verma module and finding auxiliary oscillator realization for $sl(2)\oplus sl(2)$ algebra which encodes the second-class operator constraints subsystem in the HS symmetry superalgebra. Application of an BRST-BFV receipt permits to reproduce gauge-invariant Lagrangians with reducible gauge symmetries describing the free dynamics of both massless and massive mixed-antisymmetric bosonic fields of any spin with appropriate number of gauge and Stueckelberg fields. The general prescription possesses by the possibility to derive constrained Lagrangians with only BRST-invariant extended algebraic constraints which describes the Poincare group irreducible representations in terms of mixed-antisymmetric tensor fields with 2 group indices.

[ { "created": "Sun, 30 Nov 2014 10:01:59 GMT", "version": "v1" } ]

2014-12-11

[ [ "Reshetnyak", "Alexander A.", "" ] ]

The details of Lagrangian description of irreducible integer higher-spin representations of the Poincare group with an Young tableaux $Y[\hat{s}_1,\hat{s}_2]$ having $2$ columns are considered for Bose particles propagated on an arbitrary dimensional Minkowski space-time. The procedure is based, first, on using of an auxiliary Fock space generated by Fermi oscillators (antisymmetric basis), second, on construction of the Verma module and finding auxiliary oscillator realization for $sl(2)\oplus sl(2)$ algebra which encodes the second-class operator constraints subsystem in the HS symmetry superalgebra. Application of an BRST-BFV receipt permits to reproduce gauge-invariant Lagrangians with reducible gauge symmetries describing the free dynamics of both massless and massive mixed-antisymmetric bosonic fields of any spin with appropriate number of gauge and Stueckelberg fields. The general prescription possesses by the possibility to derive constrained Lagrangians with only BRST-invariant extended algebraic constraints which describes the Poincare group irreducible representations in terms of mixed-antisymmetric tensor fields with 2 group indices.

16.957613

11.849362

19.523901

13.198799

12.093117

11.878831

12.668956

12.084197

12.464474

20.452015

12.690461

15.273475

16.908319

15.20213

15.129229

14.771694

15.055529

14.792346

15.06814

16.728836

15.288816

1008.3589

Robert Brandenberger

Alessandro Cerioni and Robert H. Brandenberger (McGill University and Univ. of Bologna)

Cosmological Perturbations in the "Healthy Extension'' of Horava-Lifshitz gravity

11 pages

null

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

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

We study linear cosmological perturbations in the ``healthy extension'' of Horava-Lifshitz gravity which has recently been analyzed \cite{BPS2}. We find that there are two degrees of freedom for scalar metric fluctuations, but that one of them decouples in the infrared limit. Also, for appropriate choices of the parameters defining the Lagrangian, the extra mode can be made well-behaved even in the ultraviolet.

[ { "created": "Sat, 21 Aug 2010 01:26:51 GMT", "version": "v1" } ]

2010-08-24

[ [ "Cerioni", "Alessandro", "", "McGill University and\n Univ. of Bologna" ], [ "Brandenberger", "Robert H.", "", "McGill University and\n Univ. of Bologna" ] ]

We study linear cosmological perturbations in the ``healthy extension'' of Horava-Lifshitz gravity which has recently been analyzed \cite{BPS2}. We find that there are two degrees of freedom for scalar metric fluctuations, but that one of them decouples in the infrared limit. Also, for appropriate choices of the parameters defining the Lagrangian, the extra mode can be made well-behaved even in the ultraviolet.

7.99522

6.364408

7.918339

6.741522

7.242512

6.301863

7.370752

6.768859

6.808431

7.824989

6.961205

7.20447

7.095989

6.938548

7.080099

7.453476

7.450753

6.982236

6.975801

7.395036

6.946618

1403.5727

Akifumi Sako

Yoshiaki Maeda, Akifumi Sako, Toshiya Suzuki and Hiroshi Umetsu

Gauge Theories in Noncommutative Homogeneous K\"ahler Manifolds

27 pages, typos corrected

null

10.1063/1.4893982

null

hep-th math-ph math.MP

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

We construct a gauge theory on a noncommutative homogeneous K\"ahler manifold, where we employ the deformation quantization with separation of variables for K\"ahler manifolds formulated by Karabegov. A key point in this construction is to obtaining vector fields which act as inner derivations for the deformation quantization. We show that these vector fields are the only Killing vector fields. We give an explicit construction of this gauge theory on noncommutative ${\mathbb C}P^N$ and noncommutative ${\mathbb C}H^N$.

[ { "created": "Sun, 23 Mar 2014 07:25:03 GMT", "version": "v1" }, { "created": "Sun, 7 Sep 2014 04:20:22 GMT", "version": "v2" } ]

2017-02-08

[ [ "Maeda", "Yoshiaki", "" ], [ "Sako", "Akifumi", "" ], [ "Suzuki", "Toshiya", "" ], [ "Umetsu", "Hiroshi", "" ] ]

We construct a gauge theory on a noncommutative homogeneous K\"ahler manifold, where we employ the deformation quantization with separation of variables for K\"ahler manifolds formulated by Karabegov. A key point in this construction is to obtaining vector fields which act as inner derivations for the deformation quantization. We show that these vector fields are the only Killing vector fields. We give an explicit construction of this gauge theory on noncommutative ${\mathbb C}P^N$ and noncommutative ${\mathbb C}H^N$.

6.002864

5.637403

6.623031

6.16116

6.55089

6.412519

6.610019

6.446618

5.873915

6.439482

6.059315

6.12619

6.059014

6.000947

6.241265

5.939213

5.837554

6.2249

5.82078

5.996294

5.969751

hep-th/0610173

Ariel Edery

Casimir piston for massless scalar fields in three dimensions

19 pages,3 figures; references updated and typos fixed to match published version

Phys.Rev.D75:105012,2007

10.1103/PhysRevD.75.105012

null

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

null

We study the Casimir piston for massless scalar fields obeying Dirichlet boundary conditions in a three dimensional cavity with sides of arbitrary lengths $a,b$ and $c$ where $a$ is the plate separation. We obtain an exact expression for the Casimir force on the piston valid for any values of the three lengths. As in the electromagnetic case with perfect conductor conditions, we find that the Casimir force is negative (attractive) regardless of the values of $a$, $b$ and $c$. Though cases exist where the interior contributes a positive (repulsive) Casimir force, the total Casimir force on the piston is negative when the exterior contribution is included. We also obtain an alternative expression for the Casimir force that is useful computationally when the plate separation $a$ is large.

[ { "created": "Mon, 16 Oct 2006 16:04:29 GMT", "version": "v1" }, { "created": "Wed, 25 Apr 2007 13:43:40 GMT", "version": "v2" }, { "created": "Fri, 18 May 2007 13:35:45 GMT", "version": "v3" } ]

2008-11-26

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

We study the Casimir piston for massless scalar fields obeying Dirichlet boundary conditions in a three dimensional cavity with sides of arbitrary lengths $a,b$ and $c$ where $a$ is the plate separation. We obtain an exact expression for the Casimir force on the piston valid for any values of the three lengths. As in the electromagnetic case with perfect conductor conditions, we find that the Casimir force is negative (attractive) regardless of the values of $a$, $b$ and $c$. Though cases exist where the interior contributes a positive (repulsive) Casimir force, the total Casimir force on the piston is negative when the exterior contribution is included. We also obtain an alternative expression for the Casimir force that is useful computationally when the plate separation $a$ is large.

5.601702

4.750899

5.605164

5.20282

5.13401

5.477107

5.164653

5.182413

5.167286

5.278123

4.956957

5.332154

5.498385

5.11417

5.137909

5.248963

5.198022

5.193701

5.241008

5.556576

5.195238

hep-th/9906024

Sergei N. Vergeles

S.N.Vergeles (L. D. Landau Institute of Theoretical Physics, Russian Academy of Sciences)

Two approaches to anomaly-free quantization of general covariant systems on an example of a two-dimensional string

LATEX, 14 pages, no figures

null

hep-th

null

In this paper we discuss two approaches to anomaly-free quantization of a two-dimensional string. The first approach is based on the canonical Dirac prescription of quantization of degenerated systems. At the second approach we "weaken" the Dirac quantization conditions requiring the solving of first class constraints only in the sense of mean values. At both approaches there are no states with the indefinite metrics.

[ { "created": "Thu, 3 Jun 1999 10:41:59 GMT", "version": "v1" } ]

2007-05-23

[ [ "Vergeles", "S. N.", "", "L. D. Landau Institute of Theoretical Physics, Russian\n Academy of Sciences" ] ]

In this paper we discuss two approaches to anomaly-free quantization of a two-dimensional string. The first approach is based on the canonical Dirac prescription of quantization of degenerated systems. At the second approach we "weaken" the Dirac quantization conditions requiring the solving of first class constraints only in the sense of mean values. At both approaches there are no states with the indefinite metrics.

13.417558

12.988363

12.777318

13.263679

13.43969

13.468155

13.315267

12.114017

11.980715

15.800961

12.613527

11.812133

12.076478

11.459687

11.417537

12.276918

12.10863

12.199093

12.187676

11.96109

11.726684

2011.11092

Zhe-Fei Yu

Bin Chen, Peng-Xiang Hao, Reiko Liu, Zhe-Fei Yu

On Galilean conformal bootstrap

75 pages, 2 figures, 4 tables; v2: references added, typos corrected; v3: references added, typos corrected, new appendices added

null

10.1007/JHEP06(2021)112

null

hep-th

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

In this work, we develop conformal bootstrap for Galilean conformal field theory (GCFT). In a GCFT, the Hilbert space could be decomposed into quasiprimary states and its global descendants. Different from the usual conformal field theory, the quasi-primary states in a GCFT constitute multiplets, which are block-diagonized under the Galilean boost operator. More importantly the multiplets include the states of negative norms, indicating the theory is not unitary. We compute global blocks of the multiplets, and discuss the expansion of four-point functions in terms of the global blocks of the multiplets. Furthermore we do the harmonic analysis for the Galilean conformal symmetry and obtain an inversion formula. As the first step to apply the Galilean conformal bootstrap, we construct generalized Galilean free theory (GGFT) explicitly. We read the data of GGFT by using Taylor series expansion of four-point function and the inversion formula independently, and find exact agreement. We discuss some novel features in the Galilean conformal bootstrap, due to the non-semisimpleness of the Galilean conformal algebra and the non-unitarity of the GCFTs.

[ { "created": "Sun, 22 Nov 2020 19:24:28 GMT", "version": "v1" }, { "created": "Sun, 6 Dec 2020 14:48:30 GMT", "version": "v2" }, { "created": "Sun, 2 May 2021 21:56:46 GMT", "version": "v3" } ]

2021-07-07

[ [ "Chen", "Bin", "" ], [ "Hao", "Peng-Xiang", "" ], [ "Liu", "Reiko", "" ], [ "Yu", "Zhe-Fei", "" ] ]

In this work, we develop conformal bootstrap for Galilean conformal field theory (GCFT). In a GCFT, the Hilbert space could be decomposed into quasiprimary states and its global descendants. Different from the usual conformal field theory, the quasi-primary states in a GCFT constitute multiplets, which are block-diagonized under the Galilean boost operator. More importantly the multiplets include the states of negative norms, indicating the theory is not unitary. We compute global blocks of the multiplets, and discuss the expansion of four-point functions in terms of the global blocks of the multiplets. Furthermore we do the harmonic analysis for the Galilean conformal symmetry and obtain an inversion formula. As the first step to apply the Galilean conformal bootstrap, we construct generalized Galilean free theory (GGFT) explicitly. We read the data of GGFT by using Taylor series expansion of four-point function and the inversion formula independently, and find exact agreement. We discuss some novel features in the Galilean conformal bootstrap, due to the non-semisimpleness of the Galilean conformal algebra and the non-unitarity of the GCFTs.

8.18014

9.421785

9.236739

8.080363

8.888968

8.839608

8.710998

7.885077

8.454813

9.246808

8.436141

8.049181

8.314468

8.010385

8.106165

8.100788

7.990589

7.920805

8.067197

8.195318

8.031803

hep-th/9409009

Sabro Higuchi

Saburo Higuchi, Chigak Itoi, Shinsuke Nishigaki and Norisuke Sakai

Renormalization group flow in one- and two-matrix models

34 pages in LaTeX, 4 eps figures included in uufiled form, with a few minor but helpful corrections

Nucl.Phys. B434 (1995) 283-318; Erratum-ibid. B441 (1995) 405

null

TIT/HEP-261, NUP-A-94-16

hep-th

null

Large-$N$ renormalization group equations for one- and two-matrix models are derived. The exact renormalization group equation involving infinitely many induced interactions can be rewritten in a form that has a finite number of coupling constants by taking account of reparametrization identities. Despite the nonlinearity of the equation, the location of fixed points and the scaling exponents can be extracted from the equation. They agree with the spectrum of relevant operators in the exact solution. A linearized $\beta$-function approximates well the global phase structure which includes several nontrivial fixed points. The global renormalization group flow suggests a kind of $c$-theorem in two-dimensional quantum gravity.

[ { "created": "Fri, 2 Sep 1994 13:08:52 GMT", "version": "v1" }, { "created": "Wed, 14 Sep 1994 15:31:48 GMT", "version": "v2" }, { "created": "Thu, 23 Feb 1995 17:20:22 GMT", "version": "v3" } ]

2014-03-25

[ [ "Higuchi", "Saburo", "" ], [ "Itoi", "Chigak", "" ], [ "Nishigaki", "Shinsuke", "" ], [ "Sakai", "Norisuke", "" ] ]

Large-$N$ renormalization group equations for one- and two-matrix models are derived. The exact renormalization group equation involving infinitely many induced interactions can be rewritten in a form that has a finite number of coupling constants by taking account of reparametrization identities. Despite the nonlinearity of the equation, the location of fixed points and the scaling exponents can be extracted from the equation. They agree with the spectrum of relevant operators in the exact solution. A linearized $\beta$-function approximates well the global phase structure which includes several nontrivial fixed points. The global renormalization group flow suggests a kind of $c$-theorem in two-dimensional quantum gravity.

10.098802

9.611982

10.806786

8.994431

9.082999

9.259777

9.411002

9.789965

9.351251

12.343866

8.862889

9.114926

9.926912

8.978812

9.057378

8.749804

9.047763

9.133168

8.85464

9.259049

9.178043

2004.12120

Jie Jiang

Xin-Yang Wang, and Jie Jiang

Gedanken experiments at high-order approximation: nearly extremal Reissner-Nordstrom black holes cannot be overcharged

7pages, 1 figure

J. High Energ. Phys. 2020, 161 (2020)

10.1007/JHEP05(2020)161

null

hep-th gr-qc

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

The new version of the gedanken experiment proposed by Sorce and Wald has been used to examine the weak cosmic censorship conjecture (WCCC) for black holes at the second-order approximation of the matter fields perturbation. However, only considering the perturbation until the second-order approximation is incomplete because there is an optimal option such that the existing condition of the event horizon vanishes at second-order. For this circumstance, we cannot judge whether the WCCC is satisfied at this order. In our investigation, the $k$th-order perturbation inequality is generally derived. Using the inequalities, we examine the WCCC for nearly extremal Reissner-Nordst\"{o}m black holes at higher-order approximation. It is shown that the WCCC cannot be violated yet after the perturbation. From this result, it can be indicated that the WCCC is strictly satisfied at the perturbation level for nearly extremal RN black holes.

[ { "created": "Sat, 25 Apr 2020 12:17:08 GMT", "version": "v1" }, { "created": "Sat, 9 May 2020 10:27:27 GMT", "version": "v2" } ]

2020-06-02

[ [ "Wang", "Xin-Yang", "" ], [ "Jiang", "Jie", "" ] ]

The new version of the gedanken experiment proposed by Sorce and Wald has been used to examine the weak cosmic censorship conjecture (WCCC) for black holes at the second-order approximation of the matter fields perturbation. However, only considering the perturbation until the second-order approximation is incomplete because there is an optimal option such that the existing condition of the event horizon vanishes at second-order. For this circumstance, we cannot judge whether the WCCC is satisfied at this order. In our investigation, the $k$th-order perturbation inequality is generally derived. Using the inequalities, we examine the WCCC for nearly extremal Reissner-Nordst\"{o}m black holes at higher-order approximation. It is shown that the WCCC cannot be violated yet after the perturbation. From this result, it can be indicated that the WCCC is strictly satisfied at the perturbation level for nearly extremal RN black holes.

11.373441

8.676926

8.01827

8.206031

8.93887

9.029658

9.188183

8.226563

8.635782

8.970495

9.151224

9.196778

8.796759

8.886698

9.196104

9.204489

9.201308

8.586785

9.161629

8.67859

9.258102

2111.13225

Martin Enriquez-Rojo

Martin Enriquez-Rojo and H. R. Safari

Boundary Heisenberg Algebras and Their Deformations

28+19 pages and 1 diagram. V2 includes a new appendix on theory of deformations and enlarged discussions

null

LMU-ASC 46/21 and IPM/P-2021/40

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

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

We investigate the deformations and rigidity of boundary Heisenberg-like algebras. In particular, we focus on the Heisenberg and $\text{Heisenberg}\oplus\mathfrak{witt}$ algebras which arise as symmetry algebras in three-dimensional gravity theories. As a result of the deformation procedure we find a large class of algebras. While some of these algebras are new, some of them have already been obtained as asymptotic and boundary symmetry algebras, supporting the idea that symmetry algebras associated to diverse boundary conditions and spacetime loci are algebraically interconnected through deformation of algebras. The deformation/contraction relationships between the new algebras are investigated. In addition, it is also shown that the deformation procedure reaches new algebras inaccessible to the Sugawara construction. As a byproduct of our analysis, we obtain that $\text{Heisenberg}\oplus\mathfrak{witt}$ and the asymptotic symmetry algebra Weyl-$\mathfrak{bms}_3$ are not connected via single deformation but in a more subtle way.

[ { "created": "Thu, 25 Nov 2021 19:00:25 GMT", "version": "v1" }, { "created": "Thu, 13 Jan 2022 12:32:04 GMT", "version": "v2" } ]

2022-01-14

[ [ "Enriquez-Rojo", "Martin", "" ], [ "Safari", "H. R.", "" ] ]

We investigate the deformations and rigidity of boundary Heisenberg-like algebras. In particular, we focus on the Heisenberg and $\text{Heisenberg}\oplus\mathfrak{witt}$ algebras which arise as symmetry algebras in three-dimensional gravity theories. As a result of the deformation procedure we find a large class of algebras. While some of these algebras are new, some of them have already been obtained as asymptotic and boundary symmetry algebras, supporting the idea that symmetry algebras associated to diverse boundary conditions and spacetime loci are algebraically interconnected through deformation of algebras. The deformation/contraction relationships between the new algebras are investigated. In addition, it is also shown that the deformation procedure reaches new algebras inaccessible to the Sugawara construction. As a byproduct of our analysis, we obtain that $\text{Heisenberg}\oplus\mathfrak{witt}$ and the asymptotic symmetry algebra Weyl-$\mathfrak{bms}_3$ are not connected via single deformation but in a more subtle way.

7.186145

7.402369

7.52221

6.687751

6.995121

7.073815

7.087931

6.995269

7.096548

7.688112

6.900937

6.888061

7.053078

6.718734

6.746731

6.832771

6.967045

6.970213

6.818067

7.129543

6.881181

1311.2888

Daigo Honda

Daigo Honda, Shota Komatsu

Classical Liouville Three-point Functions from Riemann-Hilbert Analysis

34 pages, pdfLaTeX, 4 TikZ figures; v2: minor typos corrected, references added, v3: minor typos corrected, references added

JHEP 1403 (2014) 038

10.1007/JHEP03(2014)038

UT-Komaba 13-15

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

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

We study semiclassical correlation functions in Liouville field theory on a two-sphere when all operators have large conformal dimensions. In the usual approach, such computation involves solving the classical Liouville equation, which is known to be extremely difficult for higher-point functions. To overcome this difficulty, we propose a new method based on the Riemann-Hilbert analysis, which is applied recently to the holographic calculation of correlation functions in AdS/CFT. The method allows us to directly compute the correlation functions without solving the Liouville equation explicitly. To demonstrate its utility, we apply it to three-point functions, which are known to be solvable, and confirm that it correctly reproduces the classical limit of the DOZZ formula for quantum three-point functions. This provides good evidence for the validity of this method.

[ { "created": "Tue, 12 Nov 2013 19:15:17 GMT", "version": "v1" }, { "created": "Mon, 6 Jan 2014 07:02:43 GMT", "version": "v2" }, { "created": "Sat, 8 Mar 2014 14:52:05 GMT", "version": "v3" } ]

2014-03-11

[ [ "Honda", "Daigo", "" ], [ "Komatsu", "Shota", "" ] ]

We study semiclassical correlation functions in Liouville field theory on a two-sphere when all operators have large conformal dimensions. In the usual approach, such computation involves solving the classical Liouville equation, which is known to be extremely difficult for higher-point functions. To overcome this difficulty, we propose a new method based on the Riemann-Hilbert analysis, which is applied recently to the holographic calculation of correlation functions in AdS/CFT. The method allows us to directly compute the correlation functions without solving the Liouville equation explicitly. To demonstrate its utility, we apply it to three-point functions, which are known to be solvable, and confirm that it correctly reproduces the classical limit of the DOZZ formula for quantum three-point functions. This provides good evidence for the validity of this method.

5.89778

5.535565

6.184405

5.573537

5.583124

5.70352

5.739851

5.421562

5.337066

6.071286

5.509799

5.6245

6.002209

5.389555

5.410381

5.524053

5.505783

5.514602

5.436769

5.901698

5.537212

hep-th/0703174

Sunandan Gangopadhyay

Lie algebraic noncommuting structures from reparametrisation symmetry

9 pages Latex, some references added

J.Math.Phys.48:052302,2007

10.1063/1.2723551

null

hep-th

null

We extend our earlier work of revealing both space-space and space-time noncommuting structures in various models in particle mechanics exhibiting reparametrisation symmetry. We show explicitly (in contrast to the earlier results in our paper \cite{sg}) that for some special choices of the reparametrisation parameter $\epsilon$, one can obtain space-space noncommuting structures which are Lie-algebraic in form even in the case of the relativistic free particle. The connection of these structures with the existing models in the literature is also briefly discussed. Further, there exists some values of $\epsilon$ for which the noncommutativity in the space-space sector can be made to vanish. As a matter of internal consistency of our approach, we also study the angular momentum algebra in details.

[ { "created": "Tue, 20 Mar 2007 04:53:51 GMT", "version": "v1" }, { "created": "Wed, 9 May 2007 06:08:24 GMT", "version": "v2" } ]

2008-11-26

[ [ "Gangopadhyay", "Sunandan", "" ] ]

We extend our earlier work of revealing both space-space and space-time noncommuting structures in various models in particle mechanics exhibiting reparametrisation symmetry. We show explicitly (in contrast to the earlier results in our paper \cite{sg}) that for some special choices of the reparametrisation parameter $\epsilon$, one can obtain space-space noncommuting structures which are Lie-algebraic in form even in the case of the relativistic free particle. The connection of these structures with the existing models in the literature is also briefly discussed. Further, there exists some values of $\epsilon$ for which the noncommutativity in the space-space sector can be made to vanish. As a matter of internal consistency of our approach, we also study the angular momentum algebra in details.

10.960308

9.51609

10.478409

9.389976

10.995013

10.191638

9.925803

9.668549

9.172328

11.065564

9.63

9.840701

10.649878

9.891434

10.078061

10.095316

9.926027

9.918486

9.795703

10.338621

9.649435

hep-th/0608220

She-Sheng Xue

Gravitational instanton and cosmological term

29 pages, 3 figures, the version to appear in International Journal of Modern Physics A

null

hep-th astro-ph gr-qc

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

Quantum fluctuation of unstable modes about gravitational instantons causes the instability of flat space at finite temperature, leading to the spontaneous process of nucleating quantum black holes. The energy-density of quantum black holes, depending on the initial temperature, gives the cosmological term, which naturally accounts for the inflationary phase of Early Universe. The reheating phase is attributed to the Hawking radiation and annihilation of these quantum black holes. Then, the radiation energy-density dominates over the energy-density of quantum black holes, the Universe started the Standard cosmology phase. In this phase the energy-density of quantum black holes depends on the reheating temperature. It asymptotically approaches to the cosmological constant in matter domination phase, consistently with current observations.

[ { "created": "Thu, 31 Aug 2006 09:47:41 GMT", "version": "v1" }, { "created": "Mon, 6 Apr 2009 10:57:59 GMT", "version": "v2" } ]

2009-04-06

[ [ "Xue", "She-Sheng", "" ] ]

Quantum fluctuation of unstable modes about gravitational instantons causes the instability of flat space at finite temperature, leading to the spontaneous process of nucleating quantum black holes. The energy-density of quantum black holes, depending on the initial temperature, gives the cosmological term, which naturally accounts for the inflationary phase of Early Universe. The reheating phase is attributed to the Hawking radiation and annihilation of these quantum black holes. Then, the radiation energy-density dominates over the energy-density of quantum black holes, the Universe started the Standard cosmology phase. In this phase the energy-density of quantum black holes depends on the reheating temperature. It asymptotically approaches to the cosmological constant in matter domination phase, consistently with current observations.

11.828517

10.705561

10.967005

10.532601

10.366394

10.071939

10.18151

9.511429

9.841386

11.971252

10.459743

11.286609

11.263065

10.876969

11.274801

10.737773

11.343684

10.526038

10.972498

10.860706

10.8303

2210.13568

Mohamed Anber

Mohamed M. Anber, Erich Poppitz

The gaugino condensate from asymmetric four-torus with twists

30 pages+appendices; typos corrected, references added, matches published version

null

10.1007/JHEP01(2023)118

null

hep-th hep-lat hep-ph

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

We calculate the gaugino condensate in $SU(2)$ super Yang-Mills theory on an asymmetric four-torus $\mathbb T^4$ with 't Hooft's twisted boundary conditions. The $\mathbb T^4$ asymmetry is controlled by a dimensionless detuning parameter $\Delta$, proportional to $L_3 L_4 - L_1 L_2$, with $L_i$ denoting the $\mathbb T^4$ periods. We perform our calculations via a path integral on a $\mathbb T^4$. Its size is taken much smaller than the inverse strong scale $\Lambda$ and the theory is well inside the semi-classical weak-coupling regime. The instanton background, constructed for $\Delta\ll 1$ in arXiv:hep-th/0007113, has fractional topological charge $Q=\frac{1}{2}$ and supports two gaugino zero modes, yielding a non-vanishing bilinear condensate, which we find to be $\Delta$-independent. Further, the theory has a mixed discrete chiral/$1$-form center anomaly leading to double degeneracy of the energy eigenstates on any size torus with 't Hooft twists. In particular, there are two vacua, $|0\rangle$ and $|1\rangle$, that are exchanged under chiral transformation. Using this information, the $\Delta$-independence of the condensate, and assuming further that the semi-classical theory is continuously connected to the strongly-coupled large-$\mathbb T^4$ regime, we determine the numerical coefficient of the gaugino condensate: $\langle 0| \mbox{tr}\lambda\lambda|0\rangle=|\langle 1| \mbox{tr}\lambda\lambda|1\rangle|=32\pi^2 \Lambda^3$, a result equal to twice the known $\mathbb R^4$ value. We discuss possible loopholes in the continuity approach that may lead to this discrepancy.

[ { "created": "Mon, 24 Oct 2022 19:47:38 GMT", "version": "v1" }, { "created": "Fri, 13 Jan 2023 17:22:15 GMT", "version": "v2" }, { "created": "Tue, 21 Feb 2023 17:38:03 GMT", "version": "v3" } ]

2023-02-22

[ [ "Anber", "Mohamed M.", "" ], [ "Poppitz", "Erich", "" ] ]

We calculate the gaugino condensate in $SU(2)$ super Yang-Mills theory on an asymmetric four-torus $\mathbb T^4$ with 't Hooft's twisted boundary conditions. The $\mathbb T^4$ asymmetry is controlled by a dimensionless detuning parameter $\Delta$, proportional to $L_3 L_4 - L_1 L_2$, with $L_i$ denoting the $\mathbb T^4$ periods. We perform our calculations via a path integral on a $\mathbb T^4$. Its size is taken much smaller than the inverse strong scale $\Lambda$ and the theory is well inside the semi-classical weak-coupling regime. The instanton background, constructed for $\Delta\ll 1$ in arXiv:hep-th/0007113, has fractional topological charge $Q=\frac{1}{2}$ and supports two gaugino zero modes, yielding a non-vanishing bilinear condensate, which we find to be $\Delta$-independent. Further, the theory has a mixed discrete chiral/$1$-form center anomaly leading to double degeneracy of the energy eigenstates on any size torus with 't Hooft twists. In particular, there are two vacua, $|0\rangle$ and $|1\rangle$, that are exchanged under chiral transformation. Using this information, the $\Delta$-independence of the condensate, and assuming further that the semi-classical theory is continuously connected to the strongly-coupled large-$\mathbb T^4$ regime, we determine the numerical coefficient of the gaugino condensate: $\langle 0| \mbox{tr}\lambda\lambda|0\rangle=|\langle 1| \mbox{tr}\lambda\lambda|1\rangle|=32\pi^2 \Lambda^3$, a result equal to twice the known $\mathbb R^4$ value. We discuss possible loopholes in the continuity approach that may lead to this discrepancy.

5.91427

6.167042

6.745431

5.700249

6.246248

6.310425

6.309692

6.040222

6.160778

7.150599

5.817414

5.787671

6.072616

5.822035

5.954384

5.866463

5.885507

5.884689

5.733611

6.072402

5.801551

hep-th/9704062

Hiroshi Suzuki

Kazuo Fujikawa (Univ. of Tokyo) and Hiroshi Suzuki (Ibaraki Univ.)

Duality in potential curve crossing: Application to quantum coherence

23 pages, 4 figures, REVTeX. Title was changed. The final version to apper in Phys. Rev. A

Phys.Rev. A56 (1997) 3436-3445

10.1103/PhysRevA.56.3436

UT-771, IU-MSTP/19

hep-th physics.chem-ph quant-ph

null

A field dependent $su(2)$ gauge transformation connects between the adiabatic and diabatic pictures in the (Landau-Zener-Stueckelberg) potential curve crossing problem. It is pointed out that weak and strong potential curve crossing interactions are interchanged under this transformation, and thus realizing a naive strong and weak duality. A reliable perturbation theory should thus be formulated in the both limits of weak and strong interactions. In fact, main characteristics of the potential crossing phenomena such as the Landau-Zener formula including its numerical coefficient are well-described by simple (time-independent) perturbation theory without referring to Stokes phenomena. We also show that quantum coherence in a double well potential is generally suppressed by the effect of potential curve crossing, which is analogous to the effect of Ohmic dissipation on quantum coherence.

[ { "created": "Tue, 8 Apr 1997 08:24:27 GMT", "version": "v1" }, { "created": "Wed, 23 Jul 1997 04:51:24 GMT", "version": "v2" } ]

2009-10-30

[ [ "Fujikawa", "Kazuo", "", "Univ. of Tokyo" ], [ "Suzuki", "Hiroshi", "", "Ibaraki Univ." ] ]

A field dependent $su(2)$ gauge transformation connects between the adiabatic and diabatic pictures in the (Landau-Zener-Stueckelberg) potential curve crossing problem. It is pointed out that weak and strong potential curve crossing interactions are interchanged under this transformation, and thus realizing a naive strong and weak duality. A reliable perturbation theory should thus be formulated in the both limits of weak and strong interactions. In fact, main characteristics of the potential crossing phenomena such as the Landau-Zener formula including its numerical coefficient are well-described by simple (time-independent) perturbation theory without referring to Stokes phenomena. We also show that quantum coherence in a double well potential is generally suppressed by the effect of potential curve crossing, which is analogous to the effect of Ohmic dissipation on quantum coherence.

13.861298

11.738276

15.146592

12.532262

11.717466

11.567316

11.48553

12.244691

12.399676

16.076899

12.012761

12.543638

13.886217

12.60284

12.715817

12.376034

12.791983

13.260217

12.75808

13.886896

13.089773

1401.5720

Papantonopoulos Eleftherios

Xiao-Mei Kuang, Eleftherios Papantonopoulos and Bin Wang

Entanglement Entropy as a Probe of the Proximity Effect in Holographic Superconductors

10 pages, 7 figures, extended version to be published in JHEP

null

10.1007/JHEP05(2014)130

null

hep-th cond-mat.supr-con

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

We study the entanglement entropy as a probe of the proximity effect of a superconducting system by using the gauge/gravity duality in a fully back-reacted gravity system. While the entanglement entropy in the superconducting phase is less than the entanglement entropy in the normal phase, we find that near the contact interface of the superconducting to normal phase the entanglement entropy has a different behavior due to the leakage of Cooper pairs to the normal phase. We verify this behavior by calculating the conductivity near the boundary interface.

[ { "created": "Wed, 22 Jan 2014 16:23:19 GMT", "version": "v1" }, { "created": "Tue, 28 Jan 2014 17:47:33 GMT", "version": "v2" }, { "created": "Wed, 7 May 2014 15:04:18 GMT", "version": "v3" } ]

2015-06-18

[ [ "Kuang", "Xiao-Mei", "" ], [ "Papantonopoulos", "Eleftherios", "" ], [ "Wang", "Bin", "" ] ]

We study the entanglement entropy as a probe of the proximity effect of a superconducting system by using the gauge/gravity duality in a fully back-reacted gravity system. While the entanglement entropy in the superconducting phase is less than the entanglement entropy in the normal phase, we find that near the contact interface of the superconducting to normal phase the entanglement entropy has a different behavior due to the leakage of Cooper pairs to the normal phase. We verify this behavior by calculating the conductivity near the boundary interface.

6.681181

6.506994

6.378745

6.235813

6.515877

6.511267

6.691189

6.131768

6.566162

7.465035

6.199826

6.420184

6.562024

6.086382

6.182037

6.454152

6.159373

6.077875

6.147377

6.391365

6.165518

hep-th/0411132

Prasanta K. Panigrahi

Prasanta K. Panigrahi and T. Shreecharan

Induced magnetic moment in noncommutative Chern-Simons scalar QED

8 pages, 8 figures. Reference added. A remark about hep-th/0410257, in the original version, changed after clarification from the authors

JHEP0502:045,2005

10.1088/1126-6708/2005/02/045

null

hep-th

null

We compute the one loop, $O(\th)$ correction to the vertex in the noncommutative Chern-Simons theory with scalar fields in the fundamental representation. Emphasis is placed on the parity odd part of the vertex, since the same leads to the magnetic moment structure. We find that, apart from the commutative term, a $\th$-dependent magnetic moment type structure is induced. In addition to the usual commutative graph, cubic photon vertices also give a finite $\th$ dependent contribution. Furthermore, the two two-photon vertex diagrams, that give zero in the commutative case yield finite $\th$ dependent terms to the vertex function.

[ { "created": "Fri, 12 Nov 2004 18:41:01 GMT", "version": "v1" }, { "created": "Tue, 23 Nov 2004 13:33:25 GMT", "version": "v2" } ]

2008-11-26

[ [ "Panigrahi", "Prasanta K.", "" ], [ "Shreecharan", "T.", "" ] ]

We compute the one loop, $O(\th)$ correction to the vertex in the noncommutative Chern-Simons theory with scalar fields in the fundamental representation. Emphasis is placed on the parity odd part of the vertex, since the same leads to the magnetic moment structure. We find that, apart from the commutative term, a $\th$-dependent magnetic moment type structure is induced. In addition to the usual commutative graph, cubic photon vertices also give a finite $\th$ dependent contribution. Furthermore, the two two-photon vertex diagrams, that give zero in the commutative case yield finite $\th$ dependent terms to the vertex function.

11.217306

10.525409

10.332175

9.89916

10.833191

11.116546

9.980536

10.515884

10.106736

11.259171

10.268178

10.948613

10.219093

10.372299

10.073848

10.349767

10.149625

10.648662

10.244081

10.609701

10.31572

hep-th/0301256

Jorge Zanelli

Olivera Miskovic and Jorge Zanelli

Irregular Hamiltonian Systems

To appear in Proceedings of the XIII Chilean Symposium of Physics, Concepcion, Chile, November 13-15 2002. LaTeX; 5 pages; no figures

null

hep-th

null

Hamiltonian systems with linearly dependent constraints (irregular systems), are classified according to their behavior in the vicinity of the constraint surface. For these systems, the standard Dirac procedure is not directly applicable. However, Dirac's treatment can be slightly modified to obtain, in some cases, a Hamiltonian description completely equivalent to the Lagrangian one. A recipe to deal with the different cases is provided, along with a few pedagogical examples.

[ { "created": "Fri, 31 Jan 2003 14:56:49 GMT", "version": "v1" } ]

2007-05-23

[ [ "Miskovic", "Olivera", "" ], [ "Zanelli", "Jorge", "" ] ]

Hamiltonian systems with linearly dependent constraints (irregular systems), are classified according to their behavior in the vicinity of the constraint surface. For these systems, the standard Dirac procedure is not directly applicable. However, Dirac's treatment can be slightly modified to obtain, in some cases, a Hamiltonian description completely equivalent to the Lagrangian one. A recipe to deal with the different cases is provided, along with a few pedagogical examples.

10.482112

7.864263

8.439263

7.756725

8.068003

7.500301

7.64798

7.79068

8.040648

9.176993

8.02245

8.418853

8.444739

8.026772

8.244753

8.183689

8.0106

7.994709

8.366823

8.297709

8.232945

2111.03164

Francesco Alessio

Francesco Alessio, Glenn Barnich, Martin Bonte

Notes on massless scalar field partition functions, modular invariance and Eisenstein series

63 pages, to appear on JHEP

null

10.1007/JHEP12(2021)211

null

hep-th gr-qc

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

The partition function of a massless scalar field on a Euclidean spacetime manifold $\mathbb{R}^{d-1}\times\mathbb{T}^2$ and with momentum operator in the compact spatial dimension coupled through a purely imaginary chemical potential is computed. It is modular covariant and admits a simple expression in terms of a real analytic SL$(2,\mathbb{Z})$ Eisenstein series with $s=(d+1)/2$. Different techniques for computing the partition function illustrate complementary aspects of the Eisenstein series: the functional approach gives its series representation, the operator approach yields its Fourier series, while the proper time/heat kernel/world-line approach shows that it is the Mellin transform of a Riemann theta function. High/low temperature duality is generalized to the case of a non-vanishing chemical potential. By clarifying the dependence of the partition function on the geometry of the torus, we discuss how modular covariance is a consequence of full SL$(2,\mathbb{Z})$ invariance. When the spacetime manifold is $\mathbb{R}^p\times\mathbb{T}^{q+1}$, the partition function is given in terms of a SL$(q+1,\mathbb{Z})$ Eisenstein series again with $s=(d+1)/2$. In this case, we obtain the high/low temperature duality through a suitably adapted dual parametrization of the lattice defining the torus. On $\mathbb{T}^{d+1}$, the computation is more subtle. An additional divergence leads to an harmonic anomaly.

[ { "created": "Thu, 4 Nov 2021 21:16:33 GMT", "version": "v1" }, { "created": "Sat, 25 Dec 2021 11:22:07 GMT", "version": "v2" } ]

2022-01-19

[ [ "Alessio", "Francesco", "" ], [ "Barnich", "Glenn", "" ], [ "Bonte", "Martin", "" ] ]

The partition function of a massless scalar field on a Euclidean spacetime manifold $\mathbb{R}^{d-1}\times\mathbb{T}^2$ and with momentum operator in the compact spatial dimension coupled through a purely imaginary chemical potential is computed. It is modular covariant and admits a simple expression in terms of a real analytic SL$(2,\mathbb{Z})$ Eisenstein series with $s=(d+1)/2$. Different techniques for computing the partition function illustrate complementary aspects of the Eisenstein series: the functional approach gives its series representation, the operator approach yields its Fourier series, while the proper time/heat kernel/world-line approach shows that it is the Mellin transform of a Riemann theta function. High/low temperature duality is generalized to the case of a non-vanishing chemical potential. By clarifying the dependence of the partition function on the geometry of the torus, we discuss how modular covariance is a consequence of full SL$(2,\mathbb{Z})$ invariance. When the spacetime manifold is $\mathbb{R}^p\times\mathbb{T}^{q+1}$, the partition function is given in terms of a SL$(q+1,\mathbb{Z})$ Eisenstein series again with $s=(d+1)/2$. In this case, we obtain the high/low temperature duality through a suitably adapted dual parametrization of the lattice defining the torus. On $\mathbb{T}^{d+1}$, the computation is more subtle. An additional divergence leads to an harmonic anomaly.

7.239739

7.409375

7.541472

6.843624

7.614905

7.465462

7.50378

7.284867

7.11152

7.838558

7.100398

6.971763

7.306035

6.960566

7.06565

6.960047

6.903021

6.99213

6.952441

7.221908

6.943751

0803.2547

Jason Doukas

H. T. Cho, A. S. Cornell, Jason Doukas, Wade Naylor

Fermion evaporation of a black hole off a tense brane

4 pages, Proceedings for the JGRG17 international conference Nagoya, Japan, December 2007

null

hep-th

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

Using the WKBJ approximation we obtain numerical plots of the power emission spectrum for the evaporation of massless bulk Dirac fermions from six dimensional black holes off a tense 3-brane with codimension two. We also present the multiplicity factors for eigenvalues of the deficit four sphere and show that these reduce to the usual case in the tenseless limit.

[ { "created": "Mon, 17 Mar 2008 22:58:53 GMT", "version": "v1" } ]

2008-03-19

[ [ "Cho", "H. T.", "" ], [ "Cornell", "A. S.", "" ], [ "Doukas", "Jason", "" ], [ "Naylor", "Wade", "" ] ]

Using the WKBJ approximation we obtain numerical plots of the power emission spectrum for the evaporation of massless bulk Dirac fermions from six dimensional black holes off a tense 3-brane with codimension two. We also present the multiplicity factors for eigenvalues of the deficit four sphere and show that these reduce to the usual case in the tenseless limit.

34.520866

22.025507

29.532486

26.29845

27.125341

25.720772

29.152008

26.147594

23.43387

32.065842

27.249731

24.397964

26.655371

25.215622

26.444365

25.959383

24.617014

24.555384

26.152658

26.646374

25.586796

1207.2875

Peter Horvathy

P. M. Zhang, P. A. Horvathy, K. Andrzejewski, J. Gonera, P. Kosinski

Newton-Hooke type symmetry of anisotropic oscillators

Updated version with more figures added. 34 pages, 7 figures. Dedicated to the memory of J.-M. Souriau, deceased on March 15 2012, at the age of 90

null

10.1016/j.aop.2012.11.018

null

hep-th

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

The rotation-less Newton--Hooke - type symmetry found recently in the Hill problem and instrumental for explaining the center-of-mass decomposition is generalized to an arbitrary anisotropic oscillator in the plane. Conversely, the latter system is shown, by the orbit method, to be the most general one with such a symmetry. Full Newton-Hooke symmetry is recovered in the isotropic case. Star escape from a Galaxy is studied as application.

[ { "created": "Thu, 12 Jul 2012 08:37:18 GMT", "version": "v1" }, { "created": "Tue, 24 Jul 2012 07:58:18 GMT", "version": "v2" }, { "created": "Wed, 7 Nov 2012 01:42:15 GMT", "version": "v3" } ]

2015-06-05

[ [ "Zhang", "P. M.", "" ], [ "Horvathy", "P. A.", "" ], [ "Andrzejewski", "K.", "" ], [ "Gonera", "J.", "" ], [ "Kosinski", "P.", "" ] ]

The rotation-less Newton--Hooke - type symmetry found recently in the Hill problem and instrumental for explaining the center-of-mass decomposition is generalized to an arbitrary anisotropic oscillator in the plane. Conversely, the latter system is shown, by the orbit method, to be the most general one with such a symmetry. Full Newton-Hooke symmetry is recovered in the isotropic case. Star escape from a Galaxy is studied as application.

24.169701

23.679691

28.139477

21.084612

23.281828

23.468386

23.417536

24.534111

21.365355

27.943516

21.658773

22.587585

22.764942

22.009071

22.577614

23.810019

24.168842

22.281546

23.536097

22.540104

21.306227

hep-th/0511063

David Vegh

Amihay Hanany, David Vegh

Quivers, Tilings, Branes and Rhombi

36 pages, 40 figures, JHEP3

JHEP0710:029,2007

10.1088/1126-6708/2007/10/029

null

hep-th

null

We describe a simple algorithm that computes the recently discovered brane tilings for a given generic toric singular Calabi-Yau threefold. This therefore gives AdS/CFT dual quiver gauge theories for D3-branes probing the given non-compact manifold. The algorithm solves a longstanding problem by computing superpotentials for these theories directly from the toric diagram of the singularity. We study the parameter space of a-maximization; this study is made possible by identifying the R-charges of bifundamental fields as angles in the brane tiling. We also study Seiberg duality from a new perspective.

[ { "created": "Sun, 6 Nov 2005 19:04:25 GMT", "version": "v1" } ]

2008-11-26

[ [ "Hanany", "Amihay", "" ], [ "Vegh", "David", "" ] ]

We describe a simple algorithm that computes the recently discovered brane tilings for a given generic toric singular Calabi-Yau threefold. This therefore gives AdS/CFT dual quiver gauge theories for D3-branes probing the given non-compact manifold. The algorithm solves a longstanding problem by computing superpotentials for these theories directly from the toric diagram of the singularity. We study the parameter space of a-maximization; this study is made possible by identifying the R-charges of bifundamental fields as angles in the brane tiling. We also study Seiberg duality from a new perspective.

11.550362

11.432348

13.256003

10.869403

12.05839

10.511485

11.36408

10.17792

10.822348

14.908023

10.518464

11.670885

12.851713

11.592559

11.762966

11.448861

10.959081

11.361589

11.631612

11.635415

11.432422

1003.5986

Lee Peng Teo

L.P. Teo

Casimir effect of electromagnetic field in D-dimensional spherically symmetric cavities

28 pages

Phys.Rev.D82:085009,2010

10.1103/PhysRevD.82.085009

null

hep-th

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

Eigenmodes of electromagnetic field with perfectly conducting or infinitely permeable conditions on the boundary of a D-dimensional spherically symmetric cavity is derived explicitly. It is shown that there are (D-2) polarizations for TE modes and one polarization for TM modes, giving rise to a total of (D-1) polarizations. In case of a D-dimensional ball, the eigenfrequencies of electromagnetic field with perfectly conducting boundary condition coincides with the eigenfrequencies of gauge one-forms with relative boundary condition; whereas the eigenfrequencies of electromagnetic field with infinitely permeable boundary condition coincides with the eigenfrequencies of gauge one-forms with absolute boundary condition. Casimir energy for a D-dimensional spherical shell configuration is computed using both cut-off regularization and zeta regularization. For a double spherical shell configuration, it is shown that the Casimir energy can be written as a sum of the single spherical shell contributions and an interacting term, and the latter is free of divergence. The interacting term always gives rise to an attractive force between the two spherical shells. Its leading term is the Casimir force acting between two parallel plates of the same area, as expected by proximity force approximation.

[ { "created": "Wed, 31 Mar 2010 07:36:51 GMT", "version": "v1" } ]

2014-11-20

[ [ "Teo", "L. P.", "" ] ]

Eigenmodes of electromagnetic field with perfectly conducting or infinitely permeable conditions on the boundary of a D-dimensional spherically symmetric cavity is derived explicitly. It is shown that there are (D-2) polarizations for TE modes and one polarization for TM modes, giving rise to a total of (D-1) polarizations. In case of a D-dimensional ball, the eigenfrequencies of electromagnetic field with perfectly conducting boundary condition coincides with the eigenfrequencies of gauge one-forms with relative boundary condition; whereas the eigenfrequencies of electromagnetic field with infinitely permeable boundary condition coincides with the eigenfrequencies of gauge one-forms with absolute boundary condition. Casimir energy for a D-dimensional spherical shell configuration is computed using both cut-off regularization and zeta regularization. For a double spherical shell configuration, it is shown that the Casimir energy can be written as a sum of the single spherical shell contributions and an interacting term, and the latter is free of divergence. The interacting term always gives rise to an attractive force between the two spherical shells. Its leading term is the Casimir force acting between two parallel plates of the same area, as expected by proximity force approximation.

5.430489

5.737984

5.865197

5.541455

5.62343

5.825293

6.031374

5.413097

5.515943

6.521222

5.57437

5.537679

5.63509

5.418847

5.295472

5.384124

5.468026

5.469666

5.477412

5.747687

5.423721

hep-th/9810114

Zbigniew Haba

Z. Haba (Institute of Theoretical Physics, University of Wroclaw, Poland)

Stochastic quantum field dynamics in the proper time

28 pages, LaTeX

null

September 1998 IFT UWr 920/98

hep-th

null

We consider a quantization of relativistic wave equations which allows to treat quantum fields together with interacting particles at a finite time. We discuss also a dissipative interaction with the environment. We introduce a stochastic wave function whose dynamics is determined by a non-linear Schr\"odinger-type evolution equation in an additional time parameter. The correct classical limit requires the proper time interpretation of the time parameter. An average over the proper time leads to the conventional quantum field theory of particles which are free at an infinite space separation. We consider models with scalar and vector fields on a pseudoriemannian manifold. A quantization of the Einstein gravity in this approach is briefly discussed.

[ { "created": "Thu, 15 Oct 1998 13:31:42 GMT", "version": "v1" } ]

2007-05-23

[ [ "Haba", "Z.", "", "Institute of Theoretical Physics, University of Wroclaw,\n Poland" ] ]

We consider a quantization of relativistic wave equations which allows to treat quantum fields together with interacting particles at a finite time. We discuss also a dissipative interaction with the environment. We introduce a stochastic wave function whose dynamics is determined by a non-linear Schr\"odinger-type evolution equation in an additional time parameter. The correct classical limit requires the proper time interpretation of the time parameter. An average over the proper time leads to the conventional quantum field theory of particles which are free at an infinite space separation. We consider models with scalar and vector fields on a pseudoriemannian manifold. A quantization of the Einstein gravity in this approach is briefly discussed.

14.069212

15.327847

14.419033

13.797707

14.848196

15.760523

14.474747

13.158973

13.965001

16.235365

13.543206

13.810981

14.341231

13.662913

13.282534

13.441391

14.239125

13.226754

14.068705

14.424627

13.737524

1502.02439

Alessandro Codello

Alessandro Codello, Giulio D'Odorico and Carlo Pagani

Functional and Local Renormalization Groups

19 pages, 1 figure

Phys. Rev. D 91, 125016 (2015)

10.1103/PhysRevD.91.125016

CP3-Origins-2015-3 DNRF90 and DIAS-2015-3

hep-th gr-qc

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

We discuss the relation between functional renormalization group (FRG) and local renormalization group (LRG), focussing on the two dimensional case as an example. We show that away from criticality the Wess-Zumino action is described by a derivative expansion with coefficients naturally related to RG quantities. We then demonstrate that the Weyl consistency conditions derived in the LRG approach are equivalent to the RG equation for the $c$-function available in the FRG scheme. This allows us to give an explicit FRG representation of the Zamolodchikov-Osborn metric, which in principle can be used for computations.

[ { "created": "Mon, 9 Feb 2015 11:17:08 GMT", "version": "v1" } ]

2015-06-24

[ [ "Codello", "Alessandro", "" ], [ "D'Odorico", "Giulio", "" ], [ "Pagani", "Carlo", "" ] ]

We discuss the relation between functional renormalization group (FRG) and local renormalization group (LRG), focussing on the two dimensional case as an example. We show that away from criticality the Wess-Zumino action is described by a derivative expansion with coefficients naturally related to RG quantities. We then demonstrate that the Weyl consistency conditions derived in the LRG approach are equivalent to the RG equation for the $c$-function available in the FRG scheme. This allows us to give an explicit FRG representation of the Zamolodchikov-Osborn metric, which in principle can be used for computations.

7.185186

8.148364

8.458753

7.860051

7.528902

8.210961

7.527827

7.765994

7.171055

8.242614

7.118253

7.24817

7.422195

7.284629

7.081827

7.411776

7.063984

7.241182

7.027902

7.41082

7.092045

1012.3081

Dario Benedetti

Dario Benedetti, Kai Groh, Pedro F. Machado, Frank Saueressig

The Universal RG Machine

38 pages

JHEP 1106 (2011) 079

10.1007/JHEP06(2011)079

MZ-TH/10-42, AEI-2010-165

hep-th gr-qc

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

Functional Renormalization Group Equations constitute a powerful tool to encode the perturbative and non-perturbative properties of a physical system. We present an algorithm to systematically compute the expansion of such flow equations in a given background quantity specified by the approximation scheme. The method is based on off-diagonal heat-kernel techniques and can be implemented on a computer algebra system, opening access to complex computations in, e.g., Gravity or Yang-Mills theory. In a first illustrative example, we re-derive the gravitational $\beta$-functions of the Einstein-Hilbert truncation, demonstrating their background-independence. As an additional result, the heat-kernel coefficients for transverse vectors and transverse-traceless symmetric matrices are computed to second order in the curvature.

[ { "created": "Tue, 14 Dec 2010 16:23:49 GMT", "version": "v1" } ]

2011-06-23

[ [ "Benedetti", "Dario", "" ], [ "Groh", "Kai", "" ], [ "Machado", "Pedro F.", "" ], [ "Saueressig", "Frank", "" ] ]

Functional Renormalization Group Equations constitute a powerful tool to encode the perturbative and non-perturbative properties of a physical system. We present an algorithm to systematically compute the expansion of such flow equations in a given background quantity specified by the approximation scheme. The method is based on off-diagonal heat-kernel techniques and can be implemented on a computer algebra system, opening access to complex computations in, e.g., Gravity or Yang-Mills theory. In a first illustrative example, we re-derive the gravitational $\beta$-functions of the Einstein-Hilbert truncation, demonstrating their background-independence. As an additional result, the heat-kernel coefficients for transverse vectors and transverse-traceless symmetric matrices are computed to second order in the curvature.

10.520889

10.229431

10.485057

8.399268

10.023204

9.811656

9.405549

8.719721

9.430377

11.219034

8.712655

9.107471

8.950693

9.03092

9.240865

9.336149

9.217199

9.096412

8.730039

9.477933

9.107738

1908.08778

Ariel Edery

Ariel Edery and Yu Nakayama

Critical gravity from four dimensional scale invariant gravity

14 pages; v2: updated references

null

10.1007/JHEP11(2019)169

null

hep-th gr-qc

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

We show that a critical condition exists in four dimensional scale invariant gravity given by the pure quadratic action $\beta \,C_{\mu\nu\sigma\rho} C^{\mu\nu\sigma \rho} + \alpha \,R^2$ where $C^{\mu}_{\,\,\nu \sigma \rho}$ is the Weyl tensor, $R$ is the Ricci scalar and $\beta$ and $\alpha$ are dimensionless parameters. The critical condition in a dS or AdS background is $\beta =6 \alpha$. This leads to critical gravity where the massive spin two physical ghost becomes a massless spin two graviton. In contrast to the original work on critical gravity, no Einstein gravity with a cosmological constant is added explicitly to the higher-derivative action. The critical condition is obtained in two independent ways. In the first case, we show the equivalence between the initial action and an action containing Einstein gravity, a cosmological constant, a massless scalar field plus Weyl squared gravity. The scale invariance is spontaneously broken. The linearized Einstein-Weyl equations about a dS or AdS background yield the critical condition $\beta=6\alpha$. In the second case, we work directly with the original quadratic action. After a suitable field redefinition, where the metric perturbation is traceless and transverse, we obtain linearized equations about a dS or AdS background that yield the critical condition $\beta= 6\alpha$. As in the first case, we also obtain a propagating massless scalar field. Substituting $\beta=6\alpha$ into the energy and entropy formula for the Schwarzschild and Kerr AdS or dS black hole in higher-derivative gravity yields zero, the same value obtained in the original work on critical gravity. We discuss the role of boundary conditions in relaxing the $\beta=6\alpha$ condition.

[ { "created": "Fri, 23 Aug 2019 12:15:05 GMT", "version": "v1" }, { "created": "Wed, 20 Nov 2019 01:26:09 GMT", "version": "v2" } ]

2020-01-08

[ [ "Edery", "Ariel", "" ], [ "Nakayama", "Yu", "" ] ]

We show that a critical condition exists in four dimensional scale invariant gravity given by the pure quadratic action $\beta \,C_{\mu\nu\sigma\rho} C^{\mu\nu\sigma \rho} + \alpha \,R^2$ where $C^{\mu}_{\,\,\nu \sigma \rho}$ is the Weyl tensor, $R$ is the Ricci scalar and $\beta$ and $\alpha$ are dimensionless parameters. The critical condition in a dS or AdS background is $\beta =6 \alpha$. This leads to critical gravity where the massive spin two physical ghost becomes a massless spin two graviton. In contrast to the original work on critical gravity, no Einstein gravity with a cosmological constant is added explicitly to the higher-derivative action. The critical condition is obtained in two independent ways. In the first case, we show the equivalence between the initial action and an action containing Einstein gravity, a cosmological constant, a massless scalar field plus Weyl squared gravity. The scale invariance is spontaneously broken. The linearized Einstein-Weyl equations about a dS or AdS background yield the critical condition $\beta=6\alpha$. In the second case, we work directly with the original quadratic action. After a suitable field redefinition, where the metric perturbation is traceless and transverse, we obtain linearized equations about a dS or AdS background that yield the critical condition $\beta= 6\alpha$. As in the first case, we also obtain a propagating massless scalar field. Substituting $\beta=6\alpha$ into the energy and entropy formula for the Schwarzschild and Kerr AdS or dS black hole in higher-derivative gravity yields zero, the same value obtained in the original work on critical gravity. We discuss the role of boundary conditions in relaxing the $\beta=6\alpha$ condition.

5.33438

6.057606

5.46901

5.33265

5.716307

5.799876

5.917355

5.431884

5.60253

5.942415

5.250527

5.510877

5.33309

5.320814

5.465527

5.417082

5.462716

5.398456

5.264203

5.344612

5.374172

hep-th/9212028

Solodukhin-63942

S.N.Solodukhin

Supersymmetric Topological Quantum Field Theories Of Differential Forms I. Gauge p-forms

12 pages, Latex

Mod. Phys. Lett. A8 (1993) 2553-2564

10.1142/S0217732393002919

null

hep-th

null

We consider the topological theory of Witten type for gauge differential p-forms. It is shown that some topological invariants such as linking numbers appear under quantization of this theory. The non-abelian generalization of the model is discussed.

[ { "created": "Thu, 3 Dec 1992 18:41:00 GMT", "version": "v1" } ]

2015-06-26

[ [ "Solodukhin", "S. N.", "" ] ]

We consider the topological theory of Witten type for gauge differential p-forms. It is shown that some topological invariants such as linking numbers appear under quantization of this theory. The non-abelian generalization of the model is discussed.

14.453573

10.258667

13.035976

10.536908

10.733001

11.763319

12.276231

10.486647

9.995686

13.089848

10.18625

11.497499

11.972989

11.677807

11.324722

11.034098

11.613813

11.93827

11.701012

12.131114

11.10899

hep-th/9705229

Robert Carroll

Robert Carroll (Mathematics Dept., University of Illinois, Urbana, IL)

Space-wave function duality and enhanced dKdV on a Riemann surface

Latex 33 pages

Nucl.Phys. B502 (1997) 561-593

10.1016/S0550-3213(97)00385-4

null

hep-th

null

For certain situations relations are indicated between the space-wave function duality of Faraggi-Matone, enhanced dispersionless KdV, and Whitham dynamics for appropriate hyperelliptic Riemann surfaces related to Seiberg-Witten theory. This paper gives refinements of hep-th/9702138 and some new ideas.

[ { "created": "Thu, 29 May 1997 08:11:56 GMT", "version": "v1" } ]

2009-10-30

[ [ "Carroll", "Robert", "", "Mathematics Dept., University of Illinois, Urbana, IL" ] ]

For certain situations relations are indicated between the space-wave function duality of Faraggi-Matone, enhanced dispersionless KdV, and Whitham dynamics for appropriate hyperelliptic Riemann surfaces related to Seiberg-Witten theory. This paper gives refinements of hep-th/9702138 and some new ideas.

39.43742

29.216579

45.535824

25.026348

26.513599

24.862148

28.794878

24.201826

28.420181

40.318848

28.65756

28.483725

32.649128

30.003599

29.641253

30.952681

28.593081

28.86219

28.497772

33.91674

31.713154

1602.08476

Mahdi Kord Zangeneh

A. Dehyadegari, A. Sheykhi and M. Kord Zangeneh

Holographic Conductivity for Logarithmic Charged Dilaton-Lifshitz Solutions

V1: 12 pages, 5 figures (each one includes 2 subfigres) V2: 13 pages, Some references added, Conductivity calculations improved, Accepted for publication in PLB

Phys. Lett. B 758, 226 (2016)

10.1016/j.physletb.2016.04.062

null

hep-th

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

We disclose the effects of the logarithmic nonlinear electrodynamics on the holographic conductivity of Lifshitz dilaton black holes/branes. We analyze thermodynamics of these solutions as a necessary requirement for applying gauge/gravity duality, by calculating conserved and thermodynamic quantities such as the temperature, entropy, electric potential and mass of the black holes/branes. We calculate the holographic conductivity for a $(2+1)$-dimensional brane boundary and study its behavior in terms of the frequency per temperature. Interestingly enough, we find out that, in contrast to the Lifshitz-Maxwell-dilaton black branes which has conductivity for all $z$, here in the presence of nonlinear gauge field, the holographic conductivity do exist provided $z\leq3$ and vanishes for $z>3$. It is shown that independent of the nonlinear parameter $\beta$, the real part of the conductivity is the same for a specific value of frequency per temperature in both AdS and Lifshitz cases. Besides, the behavior of real part of conductivity for large frequencies has a positive slope with respect to large frequencies for a system with Lifshitz symmetry whereas it tends to a constant for a system with AdS symmetry. This behavior may be interpreted as existence of an additional charge carrier rather than the AdS case, and is due to the presence of the scalar dilaton field in model. Similar behavior for optical conductivity of single-layer graphene induced by mild oxygen plasma exposure has been reported.

[ { "created": "Fri, 26 Feb 2016 20:48:16 GMT", "version": "v1" }, { "created": "Fri, 29 Apr 2016 21:54:32 GMT", "version": "v2" } ]

2016-05-25

[ [ "Dehyadegari", "A.", "" ], [ "Sheykhi", "A.", "" ], [ "Zangeneh", "M. Kord", "" ] ]

We disclose the effects of the logarithmic nonlinear electrodynamics on the holographic conductivity of Lifshitz dilaton black holes/branes. We analyze thermodynamics of these solutions as a necessary requirement for applying gauge/gravity duality, by calculating conserved and thermodynamic quantities such as the temperature, entropy, electric potential and mass of the black holes/branes. We calculate the holographic conductivity for a $(2+1)$-dimensional brane boundary and study its behavior in terms of the frequency per temperature. Interestingly enough, we find out that, in contrast to the Lifshitz-Maxwell-dilaton black branes which has conductivity for all $z$, here in the presence of nonlinear gauge field, the holographic conductivity do exist provided $z\leq3$ and vanishes for $z>3$. It is shown that independent of the nonlinear parameter $\beta$, the real part of the conductivity is the same for a specific value of frequency per temperature in both AdS and Lifshitz cases. Besides, the behavior of real part of conductivity for large frequencies has a positive slope with respect to large frequencies for a system with Lifshitz symmetry whereas it tends to a constant for a system with AdS symmetry. This behavior may be interpreted as existence of an additional charge carrier rather than the AdS case, and is due to the presence of the scalar dilaton field in model. Similar behavior for optical conductivity of single-layer graphene induced by mild oxygen plasma exposure has been reported.

8.622401

8.805709

9.137498

8.14783

8.869662

8.525461

8.743509

8.689691

8.61217

10.309564

8.777964

8.833379

8.95503

8.618803

8.796291

8.840612

8.575805

8.580073

8.328915

8.779428

8.503118

1607.03763

Timothy Adamo

Tim Adamo, David Skinner and Jack Williams

Twistor methods for AdS$_5$

24 pages, 4 figures. v2: typos fixed, published version

JHEP 1608: 167, 2016

10.1007/JHEP08(2016)167

DAMTP-2016-49

hep-th

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

We consider the application of twistor theory to five-dimensional anti-de Sitter space. The twistor space of AdS$_5$ is the same as the ambitwistor space of the four-dimensional conformal boundary; the geometry of this correspondence is reviewed for both the bulk and boundary. A Penrose transform allows us to describe free bulk fields, with or without mass, in terms of data on twistor space. Explicit representatives for the bulk-to-boundary propagators of scalars and spinors are constructed, along with twistor action functionals for the free theories. Evaluating these twistor actions on bulk-to-boundary propagators is shown to produce the correct two-point functions.

[ { "created": "Wed, 13 Jul 2016 14:29:59 GMT", "version": "v1" }, { "created": "Wed, 7 Sep 2016 14:45:18 GMT", "version": "v2" } ]

2016-09-21

[ [ "Adamo", "Tim", "" ], [ "Skinner", "David", "" ], [ "Williams", "Jack", "" ] ]

We consider the application of twistor theory to five-dimensional anti-de Sitter space. The twistor space of AdS$_5$ is the same as the ambitwistor space of the four-dimensional conformal boundary; the geometry of this correspondence is reviewed for both the bulk and boundary. A Penrose transform allows us to describe free bulk fields, with or without mass, in terms of data on twistor space. Explicit representatives for the bulk-to-boundary propagators of scalars and spinors are constructed, along with twistor action functionals for the free theories. Evaluating these twistor actions on bulk-to-boundary propagators is shown to produce the correct two-point functions.

7.321334

6.562311

8.340231

6.551818

6.241965

6.565463

6.550584

6.381986

6.528063

8.718434

6.409122

6.656694

7.443958

6.86213

6.89898

6.81179

6.950448

6.732628

6.837938

7.535817

6.890244

hep-th/0202031

Yao-Zhong Zhang

Xiang-Mao Ding, Mark. D. Gould and Yao-Zhong Zhang

$A^{(2)}_2$ Parafermions: A New Conformal Field Theory

LaTex 19 pages. Version to appear in Nucl. Phys. B

Nucl.Phys. B636 (2002) 549-567

10.1016/S0550-3213(02)00335-8

null

hep-th cond-mat nlin.SI

null

A new parafermionic algebra associated with the homogeneous space $A^{(2)}_2/U(1)$ and its corresponding $Z$-algebra have been recently proposed. In this paper, we give a free boson representation of the $A^{(2)}_2$ parafermion algebra in terms of seven free fields. Free field realizations of the parafermionic energy-momentum tensor and screening currents are also obtained. A new algebraic structure is discovered, which contains a $W$-algebra type primary field with spin two.

[ { "created": "Wed, 6 Feb 2002 04:53:56 GMT", "version": "v1" }, { "created": "Wed, 24 Apr 2002 01:54:11 GMT", "version": "v2" } ]

2015-06-26

[ [ "Ding", "Xiang-Mao", "" ], [ "Gould", "Mark. D.", "" ], [ "Zhang", "Yao-Zhong", "" ] ]

A new parafermionic algebra associated with the homogeneous space $A^{(2)}_2/U(1)$ and its corresponding $Z$-algebra have been recently proposed. In this paper, we give a free boson representation of the $A^{(2)}_2$ parafermion algebra in terms of seven free fields. Free field realizations of the parafermionic energy-momentum tensor and screening currents are also obtained. A new algebraic structure is discovered, which contains a $W$-algebra type primary field with spin two.

7.245575

6.267726

8.451689

6.322965

6.92282

6.218492

7.040454

6.1465

6.415289

9.15593

6.243504

6.716257

7.612449

6.626282

6.982247

6.696589

6.705189

6.739383

6.427428

7.430234

6.453924

1907.04486

Luciano Abreu

L. M. Abreu and E. S. Nery

Critical behaviour of an effective relativistic mean field model in the presence of magnetic background and boundaries

10 pages, 10 figures

Eur. Phys. J. A (2019) 55: 108

10.1140/epja/i2019-12793-3

null

hep-th hep-ph

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

In the present work we investigate the combined influence of magnetic background and boundaries on the thermodynamic properties of effective relativistic mean field models, like the so-called Walecka model. This is done by making use of generalized zeta-function approach and mean-field approximation at effective chemical equilibrium, focusing on the dependence with the size of compactified spatial dimension, the temperature and the magnetic field strength. The findings suggest a rich phase structure in the parameter space. The maintenance of long-range correlations is strongly affected under the change of these parameters, with the symmetric phase being favoured due to both inverse magnetic catalysis effect and the reduction of size of compactified dimension.

[ { "created": "Wed, 10 Jul 2019 02:07:48 GMT", "version": "v1" } ]

2019-07-11

[ [ "Abreu", "L. M.", "" ], [ "Nery", "E. S.", "" ] ]

In the present work we investigate the combined influence of magnetic background and boundaries on the thermodynamic properties of effective relativistic mean field models, like the so-called Walecka model. This is done by making use of generalized zeta-function approach and mean-field approximation at effective chemical equilibrium, focusing on the dependence with the size of compactified spatial dimension, the temperature and the magnetic field strength. The findings suggest a rich phase structure in the parameter space. The maintenance of long-range correlations is strongly affected under the change of these parameters, with the symmetric phase being favoured due to both inverse magnetic catalysis effect and the reduction of size of compactified dimension.

15.415765

14.405567

13.639457

13.107467

13.779084

16.120649

13.493971

14.33599

11.651696

14.367881

13.175231

13.142186

13.325137

13.305488

13.665307

13.887446

13.409789

13.775677

12.597914

13.836017

13.315449

2009.11874

Sergei Gukov

Sergei Gukov, Sunghyuk Park, Pavel Putrov

Cobordism invariants from BPS q-series

30 pages, 4 figures

null

10.1007/s00023-021-01089-2

null

hep-th cond-mat.str-el math.AG math.GT math.NT

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

Many BPS partition functions depend on a choice of additional structure: fluxes, Spin or Spin$^c$ structures, etc. In a context where the BPS generating series depends on a choice of Spin$^c$ structure we show how different limits with respect to the expansion variable $q$ and different ways of summing over Spin$^c$ structures produce different invariants of homology cobordisms out of the BPS $q$-series.

[ { "created": "Thu, 24 Sep 2020 18:00:01 GMT", "version": "v1" } ]

2021-11-24

[ [ "Gukov", "Sergei", "" ], [ "Park", "Sunghyuk", "" ], [ "Putrov", "Pavel", "" ] ]

Many BPS partition functions depend on a choice of additional structure: fluxes, Spin or Spin$^c$ structures, etc. In a context where the BPS generating series depends on a choice of Spin$^c$ structure we show how different limits with respect to the expansion variable $q$ and different ways of summing over Spin$^c$ structures produce different invariants of homology cobordisms out of the BPS $q$-series.

11.251442

10.088456

14.633322

10.129231

10.342107

10.333826

10.184555

10.418314

9.895361

12.902819

10.328609

10.061719

11.61025

9.719185

9.635095

9.823653

9.646732

10.259846

10.024315

11.116869

9.824084

hep-th/0203247

Juan Garcia-Bellido

Juan Garcia-Bellido and Raul Rabadan

Complex structure moduli stability in toroidal compactifications

24 pages, JHEP3.cls, 19 figures. A few references added

JHEP 0205:042,2002

10.1088/1126-6708/2002/05/042

CERN-TH/2002-067

hep-th

null

In this paper we present a classification of possible dynamics of closed string moduli within specific toroidal compactifications of Type II string theories due to the NS-NS tadpole terms in the reduced action. They appear as potential terms for the moduli when supersymmetry is broken due to the presence of D-branes. We particularise to specific constructions with two, four and six-dimensional tori, and study the stabilisation of the complex structure moduli at the disk level. We find that, depending on the cycle on the compact space where the brane is wrapped, there are three possible cases: i) there is a solution inside the complex structure moduli space, and the configuration is stable at the critical point, ii) the moduli fields are driven towards the boundary of the moduli space, iii) there is no stable solution at the minimum of the potential and the system decays into a set of branes.

[ { "created": "Tue, 26 Mar 2002 18:03:05 GMT", "version": "v1" }, { "created": "Fri, 24 May 2002 15:33:12 GMT", "version": "v2" } ]

2014-11-18

[ [ "Garcia-Bellido", "Juan", "" ], [ "Rabadan", "Raul", "" ] ]

In this paper we present a classification of possible dynamics of closed string moduli within specific toroidal compactifications of Type II string theories due to the NS-NS tadpole terms in the reduced action. They appear as potential terms for the moduli when supersymmetry is broken due to the presence of D-branes. We particularise to specific constructions with two, four and six-dimensional tori, and study the stabilisation of the complex structure moduli at the disk level. We find that, depending on the cycle on the compact space where the brane is wrapped, there are three possible cases: i) there is a solution inside the complex structure moduli space, and the configuration is stable at the critical point, ii) the moduli fields are driven towards the boundary of the moduli space, iii) there is no stable solution at the minimum of the potential and the system decays into a set of branes.

8.445662

7.786781

8.77893

7.737744

8.426871

7.978798

7.926556

7.935683

8.075637

8.867129

7.809096

7.921919

8.268328

7.809843

7.852865

7.959754

7.868447

7.767193

7.961777

8.210354

7.936903

hep-th/9312181

null

S. Okubo

Jordan Triple Systems and Yang-Baxter Equation

25 pages, UR-1334, ER-40685-783

null

hep-th

null

Jordan as well as related triple systems have been used to find several solutions of the Yang-Baxter equation, which are of rational as well as trigonometric type.

[ { "created": "Wed, 22 Dec 1993 19:41:06 GMT", "version": "v1" } ]

2007-05-23

[ [ "Okubo", "S.", "" ] ]

Jordan as well as related triple systems have been used to find several solutions of the Yang-Baxter equation, which are of rational as well as trigonometric type.

18.99826

13.546009

21.061113

13.454916

12.236312

13.29677

13.538751

12.268226

13.165099

19.124203

11.730302

11.799567

19.048832

12.614354

11.329327

11.816043

12.200286

12.55514

12.152596

16.410576

12.139574

1106.3504

Esmaeil Ebrahimi

Esmaeil Ebrahimi, Ahmad Sheykhi

Instability of QCD ghost dark energy model

15 pages, 5 figures

IJMPD Vol. 20, No. 12 (2011) 2369

10.1142/S021827181102041X

null

hep-th gr-qc

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

We investigate the instability of the ghost dark energy model against perturbations in different cases. To this goal we use the squared sound speed $v_s^2$ whose sign determines the stability of the model. When $v_s^2<0$ the model is unstable against perturbation. At first we discuss the noninteracting ghost dark energy model in a flat FRW universe and find out that such a model is unstable due to the negativity of the $v_s^2$ in all epoches. The interacting ghost dark energy model in both flat and non-flat universe are studied in the next parts and in both cases we find that the squared sound speed of ghost dark energy is always negative. This implies that the perfect fluid for ghost dark energy is classically unstable against perturbations. In both flat and non flat cases we find that the instability of the model increases with increasing the value of the interacting coupling parameter.

[ { "created": "Fri, 17 Jun 2011 14:57:00 GMT", "version": "v1" } ]

2015-03-19

[ [ "Ebrahimi", "Esmaeil", "" ], [ "Sheykhi", "Ahmad", "" ] ]

We investigate the instability of the ghost dark energy model against perturbations in different cases. To this goal we use the squared sound speed $v_s^2$ whose sign determines the stability of the model. When $v_s^2<0$ the model is unstable against perturbation. At first we discuss the noninteracting ghost dark energy model in a flat FRW universe and find out that such a model is unstable due to the negativity of the $v_s^2$ in all epoches. The interacting ghost dark energy model in both flat and non-flat universe are studied in the next parts and in both cases we find that the squared sound speed of ghost dark energy is always negative. This implies that the perfect fluid for ghost dark energy is classically unstable against perturbations. In both flat and non flat cases we find that the instability of the model increases with increasing the value of the interacting coupling parameter.

5.462991

5.509722

5.064938

5.100432

5.542993

5.663172

5.495288

4.92077

5.532108

5.329915

5.452702

5.404672

5.074679

5.16116

5.33035

5.287878

5.177857

5.168525

5.215269

5.069741

5.382729

1202.4734

Oscar Castillo Felisola Dr.

Oscar Castillo-Felisola and Ivan Schmidt

Localization of fermions in different domain wall models

RevTeX, 6 pages, 10 figures

Phys. Rev. D86, 024014 (2012)

10.1103/PhysRevD.86.024014

null

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

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

Localization of fermions is studied in different gravitational domain wall models. These are generalizations of the brane-world models considered by Randall and Sundrum, but which also allow gravitational localization. Therefore, they might be considered as possible realistic scenarios for phenomenology.

[ { "created": "Tue, 21 Feb 2012 19:25:18 GMT", "version": "v1" }, { "created": "Fri, 24 Feb 2012 19:52:52 GMT", "version": "v2" } ]

2014-05-28

[ [ "Castillo-Felisola", "Oscar", "" ], [ "Schmidt", "Ivan", "" ] ]

Localization of fermions is studied in different gravitational domain wall models. These are generalizations of the brane-world models considered by Randall and Sundrum, but which also allow gravitational localization. Therefore, they might be considered as possible realistic scenarios for phenomenology.

16.192146

13.855056

15.067254

13.708329

13.497185

14.575135

15.119359

13.27836

13.119878

16.145264

13.326325

13.682107

14.744878

14.140232

15.201571

14.538279

14.443645

14.512311

14.067977

14.223283

14.539963

hep-th/0407152

Martin Schvellinger

Glueballs, symmetry breaking and axionic strings in non-supersymmetric deformations of the Klebanov-Strassler background

30 pages; V2: minor corrections; V3: section 3 corrected and misprints corrected to match version published in JHEP

JHEP0409:057,2004

10.1088/1126-6708/2004/09/057

OUTP-04-14-P

hep-th

null

We obtain an analytic solution for an axionic non-supersymmetric deformation of the warped deformed conifold. This allows us to study D-strings in the infrared limit of non-supersymmetric deformations of the Klebanov-Strassler background. They are interpreted as axionic strings in the dual field theory. Following the arguments of [hep-th/0405282], the axion is a massless pseudo-scalar glueball which is present in the supergravity fluctuation spectrum and it is interpreted as the Goldstone boson of the spontaneously broken U(1) baryon number symmetry, being the gauge theory on the baryonic branch. Besides, we briefly discuss about the Pando Zayas-Tseytlin solution where the SU(2) \times SU(2) global symmetry is spontaneously broken. This background has been conjectured to be on the mesonic branch of the gauge theory.

[ { "created": "Sat, 17 Jul 2004 10:06:10 GMT", "version": "v1" }, { "created": "Tue, 31 Aug 2004 12:45:15 GMT", "version": "v2" }, { "created": "Sun, 17 Oct 2004 17:52:10 GMT", "version": "v3" } ]

2008-11-26

[ [ "Schvellinger", "Martin", "" ] ]

We obtain an analytic solution for an axionic non-supersymmetric deformation of the warped deformed conifold. This allows us to study D-strings in the infrared limit of non-supersymmetric deformations of the Klebanov-Strassler background. They are interpreted as axionic strings in the dual field theory. Following the arguments of [hep-th/0405282], the axion is a massless pseudo-scalar glueball which is present in the supergravity fluctuation spectrum and it is interpreted as the Goldstone boson of the spontaneously broken U(1) baryon number symmetry, being the gauge theory on the baryonic branch. Besides, we briefly discuss about the Pando Zayas-Tseytlin solution where the SU(2) \times SU(2) global symmetry is spontaneously broken. This background has been conjectured to be on the mesonic branch of the gauge theory.

7.798656

6.652055

9.052554

7.346751

7.175648

6.918232

6.753398

6.929926

6.798524

9.938903

6.870198

7.045933

7.752068

7.108599

7.070683

7.123386

7.002117

7.184838

7.117404

7.577222

7.133344

2404.13963

Davide Lettera

Dario Benedetti, Razvan Gurau, Davide Lettera

Dynamic critical exponent in quantum long-range models

21 pages, 3 figures

null

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

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

Quantum long-range models at zero temperature can be described by fractional Lifshitz field theories, that is, anisotropic models whose actions are short-range in time and long-range in space. In this paper we study the renormalization of fractional Lifshitz field theories with weakly relevant cubic or quartic self-interactions. Their nontrivial infrared fixed points exhibit Lifshitz scale invariance, and we compute the lowest-order corrections to the dynamic critical exponent.

[ { "created": "Mon, 22 Apr 2024 08:09:37 GMT", "version": "v1" } ]

2024-04-23

[ [ "Benedetti", "Dario", "" ], [ "Gurau", "Razvan", "" ], [ "Lettera", "Davide", "" ] ]

Quantum long-range models at zero temperature can be described by fractional Lifshitz field theories, that is, anisotropic models whose actions are short-range in time and long-range in space. In this paper we study the renormalization of fractional Lifshitz field theories with weakly relevant cubic or quartic self-interactions. Their nontrivial infrared fixed points exhibit Lifshitz scale invariance, and we compute the lowest-order corrections to the dynamic critical exponent.

10.088488

8.187287

9.991694

8.482733

8.808602

9.534788

8.862201

8.438889

7.88597

11.097006

8.23386

8.608557

9.892007

8.901223

8.85722

8.702136

8.18397

8.850931

8.485504

9.691299

8.833354

2212.10339

Rubens R. S. Oliveira

R. R. S. Oliveira, R. R. Landim

Thermodynamic properties of the noncommutative Dirac oscillator with a permanent electric dipole moment

16 pages, 3 figures

null

hep-th

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

In this paper, we investigate the thermodynamic properties of the noncommutative Dirac oscillator with a permanent electric dipole moment in the presence of an electromagnetic field in contact with a heat bath. Using the canonical ensemble, we determine the properties for both relativistic and nonrelativistic cases through the \textit{Euler-MacLaurin} formula in the high temperatures regime. In particular, the main properties are: the Helmholtz free energy, the entropy, the mean energy, and the heat capacity. Next, we analyze via 2D graphs the behavior of the properties as a function of temperature. As a result, we note that the Helmholtz free energy decreases with the temperature and $\omega_\theta$, and increases with $\omega$, $\Tilde{\omega}$, $\omega_\eta$, where $\omega$ is the frequency of the oscillator, $\Tilde{\omega}$ is a type of cyclotron frequency, and $\omega_\theta$ and $\omega_\eta$ are the noncommutative frequencies of position and momentum. With respect to entropy, we note an increase with the temperature and $\omega_\theta$, and a decrease with $\omega$, $\Tilde{\omega}$, $\omega_\eta$. Now, with respect to mean energy, we note that such property increases linearly with the temperature, and their values for the relativistic case are twice that of the nonrelativistic case. As a direct consequence of this, the value of the heat capacity for the relativistic case is also twice that of the nonrelativistic case, and both are constants, thus satisfying the \textit{Dulong-Petit} law. Lastly, we also note that the electric field does not influence the properties in any way.

[ { "created": "Tue, 20 Dec 2022 15:25:00 GMT", "version": "v1" } ]

2022-12-21

[ [ "Oliveira", "R. R. S.", "" ], [ "Landim", "R. R.", "" ] ]

In this paper, we investigate the thermodynamic properties of the noncommutative Dirac oscillator with a permanent electric dipole moment in the presence of an electromagnetic field in contact with a heat bath. Using the canonical ensemble, we determine the properties for both relativistic and nonrelativistic cases through the \textit{Euler-MacLaurin} formula in the high temperatures regime. In particular, the main properties are: the Helmholtz free energy, the entropy, the mean energy, and the heat capacity. Next, we analyze via 2D graphs the behavior of the properties as a function of temperature. As a result, we note that the Helmholtz free energy decreases with the temperature and $\omega_\theta$, and increases with $\omega$, $\Tilde{\omega}$, $\omega_\eta$, where $\omega$ is the frequency of the oscillator, $\Tilde{\omega}$ is a type of cyclotron frequency, and $\omega_\theta$ and $\omega_\eta$ are the noncommutative frequencies of position and momentum. With respect to entropy, we note an increase with the temperature and $\omega_\theta$, and a decrease with $\omega$, $\Tilde{\omega}$, $\omega_\eta$. Now, with respect to mean energy, we note that such property increases linearly with the temperature, and their values for the relativistic case are twice that of the nonrelativistic case. As a direct consequence of this, the value of the heat capacity for the relativistic case is also twice that of the nonrelativistic case, and both are constants, thus satisfying the \textit{Dulong-Petit} law. Lastly, we also note that the electric field does not influence the properties in any way.

4.550711

4.244547

4.548379

4.198198

4.223526

4.112977

4.152149

4.165076

4.231125

4.751654

4.209445

4.241416

4.330951

4.305265

4.310524

4.326281

4.233932

4.230746

4.269144

4.403937

4.300746

2102.02152

Peter West

Keith Glennon and Peter West

The massless irreducible representation in E theory and how bosons can appear as spinors

null

10.1142/S0217751X21500962

null

hep-th

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

We study in detail the irreducible representation of E theory that corresponds to massless particles. This has little algebra Ic(E9) and contains 128 physical states that belong to the spinor representation of SO(16). These are the degrees of freedom of maximal supergravity in eleven dimensions. This smaller number of the degrees of freedom, compared to what might be expected, is due to an infinite number of duality relations which in turn can be traced to the existence of a subaglebra of Ic(E9) which forms an ideal and annihilates the representation. We explain how these features are inherited into the covariant theory. We also comment on the remarkable similarity between how the bosons and fermions arise in E theory.

[ { "created": "Wed, 3 Feb 2021 17:17:48 GMT", "version": "v1" } ]

2021-07-07

[ [ "Glennon", "Keith", "" ], [ "West", "Peter", "" ] ]

We study in detail the irreducible representation of E theory that corresponds to massless particles. This has little algebra Ic(E9) and contains 128 physical states that belong to the spinor representation of SO(16). These are the degrees of freedom of maximal supergravity in eleven dimensions. This smaller number of the degrees of freedom, compared to what might be expected, is due to an infinite number of duality relations which in turn can be traced to the existence of a subaglebra of Ic(E9) which forms an ideal and annihilates the representation. We explain how these features are inherited into the covariant theory. We also comment on the remarkable similarity between how the bosons and fermions arise in E theory.

14.439368

13.942694

14.548378

13.480995

15.729542

15.062322

15.775061

13.325179

14.058623

16.78828

13.641047

13.245581

13.687206

14.209566

13.892619

14.049816

13.238152

13.709761

13.154716

13.528055

13.387513

2206.08470

D Yamada

D. Yamada

Non-Perturbative Groundstate of High Temperature Yang-Mills Theory

31-page main text with 7 figures plus supplements

null

hep-th hep-lat

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

The effective potential of Yang-Mills theory at high temperature derived by Gross, Pisarski, Yaffe and Weiss is critically reexamined and it is argued that the groundstate of the potential at <A0>=0 is invalid, due to the infrared divergence of the Matsubara zero mode. This suggests that the thermal groundstate is dominated by infrared non-perturbative effects. Lattice simulations are carried out and the field A0 in the static gauge is observed to acquire nonzero, non-perturbative expectation values at high temperatures. A consequence is that thermal perturbation theory is inconsistent with the non-perturbative groundstate and it cannot account for all of the contributions to a thermodynamic quantity at any temperature. Related issues, including dimensional reduction and confinement, are also discussed.

[ { "created": "Thu, 16 Jun 2022 22:39:00 GMT", "version": "v1" } ]

2022-06-20

[ [ "Yamada", "D.", "" ] ]

The effective potential of Yang-Mills theory at high temperature derived by Gross, Pisarski, Yaffe and Weiss is critically reexamined and it is argued that the groundstate of the potential at <A0>=0 is invalid, due to the infrared divergence of the Matsubara zero mode. This suggests that the thermal groundstate is dominated by infrared non-perturbative effects. Lattice simulations are carried out and the field A0 in the static gauge is observed to acquire nonzero, non-perturbative expectation values at high temperatures. A consequence is that thermal perturbation theory is inconsistent with the non-perturbative groundstate and it cannot account for all of the contributions to a thermodynamic quantity at any temperature. Related issues, including dimensional reduction and confinement, are also discussed.

11.528348

11.283328

10.531413

10.215551

12.440186

10.663798

11.407332

11.146544

11.030202

11.68228

10.798314

10.752095

10.400209

10.445252

10.41405

10.35605

10.387337

10.477002

10.741923

10.980875

10.485261

1410.7003

Ulrich Harst

Ulrich Harst, Martin Reuter

A new functional flow equation for Einstein-Cartan quantum gravity

111 pages, 27 figures

null

10.1016/j.aop.2015.01.006

null

hep-th gr-qc

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

We construct a special-purpose functional flow equation which facilitates non-perturbative renormalization group (RG) studies on theory spaces involving a large number of independent field components that are prohibitively complicated using standard methods. Its main motivation are quantum gravity theories in which the gravitational degrees of freedom are carried by a complex system of tensor fields, a prime example being Einstein-Cartan theory, possibly coupled to matter. We describe a sequence of approximation steps leading from the functional RG equation of the Effective Average Action to the new flow equation which, as a consequence, is no longer fully exact on the untruncated theory space. However, it is by far more "user friendly" when it comes to projecting the abstract equation on a concrete (truncated) theory space and computing explicit beta-functions. The necessary amount of (tensor) algebra reduces drastically, and the usually very hard problem of diagonalizing the pertinent Hessian operator is sidestepped completely. In this paper we demonstrate the reliability of the simplified equation by applying it to a truncation of the Einstein-Cartan theory space. It is parametrized by a scale dependent Holst action, depending on a O(4) spin-connection and the tetrad as the independent field variables. We compute the resulting RG flow, focusing in particular on the running of the Immirzi parameter, and compare it to the results of an earlier computation where the exact equation had been applied to the same truncation. We find consistency between the two approaches and provide further evidence for the conjectured non-perturbative renormalizability (asymptotic safety) of quantum Einstein-Cartan gravity. We also investigate a duality symmetry relating small and large values of the Immirzi parameter which is displayed by the beta-functions in absence of a cosmological constant.

[ { "created": "Sun, 26 Oct 2014 09:04:43 GMT", "version": "v1" } ]

2015-06-23

[ [ "Harst", "Ulrich", "" ], [ "Reuter", "Martin", "" ] ]

We construct a special-purpose functional flow equation which facilitates non-perturbative renormalization group (RG) studies on theory spaces involving a large number of independent field components that are prohibitively complicated using standard methods. Its main motivation are quantum gravity theories in which the gravitational degrees of freedom are carried by a complex system of tensor fields, a prime example being Einstein-Cartan theory, possibly coupled to matter. We describe a sequence of approximation steps leading from the functional RG equation of the Effective Average Action to the new flow equation which, as a consequence, is no longer fully exact on the untruncated theory space. However, it is by far more "user friendly" when it comes to projecting the abstract equation on a concrete (truncated) theory space and computing explicit beta-functions. The necessary amount of (tensor) algebra reduces drastically, and the usually very hard problem of diagonalizing the pertinent Hessian operator is sidestepped completely. In this paper we demonstrate the reliability of the simplified equation by applying it to a truncation of the Einstein-Cartan theory space. It is parametrized by a scale dependent Holst action, depending on a O(4) spin-connection and the tetrad as the independent field variables. We compute the resulting RG flow, focusing in particular on the running of the Immirzi parameter, and compare it to the results of an earlier computation where the exact equation had been applied to the same truncation. We find consistency between the two approaches and provide further evidence for the conjectured non-perturbative renormalizability (asymptotic safety) of quantum Einstein-Cartan gravity. We also investigate a duality symmetry relating small and large values of the Immirzi parameter which is displayed by the beta-functions in absence of a cosmological constant.

8.122753

9.347528

8.86223

8.716056

9.541139

9.051862

8.739105

8.923002

8.788787

9.05981

8.326463

7.916555

8.514823

8.256461

8.188076

8.270613

8.539532

8.219341

8.454528

8.364672

8.245358

hep-th/9701052

Fernando Ruiz

F. Ruiz Ruiz and P. van Nieuwenhuizen

Supersymmetric Yang-Mills-Chern-Simons theory

6 pages, 1 figure, latex, espcrc2. Contribution to the Proceedings of the 30th Ahrenshoop Symposium on the Theory of Elementary Particles, edited by D. Lust, H.-J. Otto and G. Weigt, to appear in Nuclear Physics B, Proceedings Supplement

Nucl.Phys.Proc.Suppl. 56B (1997) 269-274

10.1016/S0920-5632(97)00335-6

HD-TEP-97-01, ITP-SB-97-06

hep-th

null

We prove that three-dimensional N=1 supersymmetric Yang-Mills-Chern-Simons theory is finite to all loops. This leaves open the possibility that different regularization methods give different finite effective actions. We show that for this model dimensional regularization and regularization by dimensional reduction yield the same effective action.

[ { "created": "Mon, 13 Jan 1997 20:04:14 GMT", "version": "v1" } ]

2009-10-30

[ [ "Ruiz", "F. Ruiz", "" ], [ "van Nieuwenhuizen", "P.", "" ] ]

We prove that three-dimensional N=1 supersymmetric Yang-Mills-Chern-Simons theory is finite to all loops. This leaves open the possibility that different regularization methods give different finite effective actions. We show that for this model dimensional regularization and regularization by dimensional reduction yield the same effective action.

8.189869

7.300513

7.687051

6.504515

7.181578

6.586622

6.647069

6.968084

5.955726

8.736189

7.06818

7.834035

8.027999

7.56609

7.698204

7.741822

7.634975

7.490638

7.405476

9.168034

7.304051

1606.01119

Emanuele Moscato

Andrea Galliani, Stefano Giusto, Emanuele Moscato, Rodolfo Russo

Correlators at large c without information loss

32 pages, v2: citations added, typos corrected, v3: typos corrected, submitted to JHEP

null

10.1007/JHEP09(2016)065

QMUL-PH-16-12, DFPD-16-TH-09

hep-th

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

We study a simple class of correlators with two heavy and two light operators both in the D1D5 CFT and in the dual AdS$_3 \times S^3 \times T^4$ description. On the CFT side we focus on the free orbifold point and discuss how these correlators decompose in terms of conformal blocks, showing that they are determined by protected quantities. On the gravity side, the heavy states are described by regular, asymptotically AdS$_3 \times S^3 \times T^4$ solutions and the correlators are obtained by studying the wave equation in these backgrounds. We find that the CFT and the gravity results agree and that, even in the large central charge limit, these correlators do not have (Euclidean) spurious singularities. We suggest that this is indeed a general feature of the heavy-light correlators in unitary CFTs, which can be relevant for understanding how information is encoded in black hole microstates.

[ { "created": "Fri, 3 Jun 2016 14:52:06 GMT", "version": "v1" }, { "created": "Tue, 21 Jun 2016 15:31:43 GMT", "version": "v2" }, { "created": "Mon, 29 Aug 2016 16:35:46 GMT", "version": "v3" } ]

2016-10-12

[ [ "Galliani", "Andrea", "" ], [ "Giusto", "Stefano", "" ], [ "Moscato", "Emanuele", "" ], [ "Russo", "Rodolfo", "" ] ]

We study a simple class of correlators with two heavy and two light operators both in the D1D5 CFT and in the dual AdS$_3 \times S^3 \times T^4$ description. On the CFT side we focus on the free orbifold point and discuss how these correlators decompose in terms of conformal blocks, showing that they are determined by protected quantities. On the gravity side, the heavy states are described by regular, asymptotically AdS$_3 \times S^3 \times T^4$ solutions and the correlators are obtained by studying the wave equation in these backgrounds. We find that the CFT and the gravity results agree and that, even in the large central charge limit, these correlators do not have (Euclidean) spurious singularities. We suggest that this is indeed a general feature of the heavy-light correlators in unitary CFTs, which can be relevant for understanding how information is encoded in black hole microstates.

5.837215

5.308774

6.679239

5.169505

5.60897

5.504974

5.403454

5.270306

5.230391

7.022734

5.204411

5.280766

6.140832

5.470816

5.3942

5.452715

5.316154

5.396833

5.390893

6.155521

5.414881

2005.00083

Davide Gaiotto

Kevin Costello, Tudor Dimofte, Davide Gaiotto

Boundary Chiral Algebras and Holomorphic Twists

96 pages

null

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

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

We study the holomorphic twist of 3d ${\cal N}=2$ gauge theories in the presence of boundaries, and the algebraic structure of bulk and boundary local operators. In the holomorphic twist, both bulk and boundary local operators form chiral algebras (\emph{a.k.a.} vertex operator algebras). The bulk algebra is commutative, endowed with a shifted Poisson bracket and a "higher" stress tensor; while the boundary algebra is a module for the bulk, may not be commutative, and may or may not have a stress tensor. We explicitly construct bulk and boundary algebras for free theories and Landau-Ginzburg models. We construct boundary algebras for gauge theories with matter and/or Chern-Simons couplings, leaving a full description of bulk algebras to future work. We briefly discuss the presence of higher A-infinity like structures.

[ { "created": "Thu, 30 Apr 2020 20:11:51 GMT", "version": "v1" } ]

2020-05-04

[ [ "Costello", "Kevin", "" ], [ "Dimofte", "Tudor", "" ], [ "Gaiotto", "Davide", "" ] ]

We study the holomorphic twist of 3d ${\cal N}=2$ gauge theories in the presence of boundaries, and the algebraic structure of bulk and boundary local operators. In the holomorphic twist, both bulk and boundary local operators form chiral algebras (\emph{a.k.a.} vertex operator algebras). The bulk algebra is commutative, endowed with a shifted Poisson bracket and a "higher" stress tensor; while the boundary algebra is a module for the bulk, may not be commutative, and may or may not have a stress tensor. We explicitly construct bulk and boundary algebras for free theories and Landau-Ginzburg models. We construct boundary algebras for gauge theories with matter and/or Chern-Simons couplings, leaving a full description of bulk algebras to future work. We briefly discuss the presence of higher A-infinity like structures.

6.54921

6.236271

7.408461

6.091052

6.672481

6.618348

6.630519

6.156754

6.290256

7.785901

6.370257

6.211892

6.768741

6.140162

6.292173

6.407176

6.298023

6.19355

6.128973

6.505156

6.217672

1408.2246

Steven Gubser

Steven S. Gubser, Revant Nayar, and Sarthak Parikh

Strings and vortex rings

34 pages, 4 figures

null

PUPT-2464

hep-th

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

We treat string propagation and interaction in the presence of a background Neveu-Schwarz three-form field strength, suitable for describing vortex rings in a superfluid or low-viscosity normal fluid. A circular vortex ring exhibits instabilities which have been recognized for many years, but whose precise boundaries we determine for the first time analytically in the small core limit. Two circular vortices colliding head-on exhibit stronger instabilities which cause splitting into many small vortices at late times. We provide an approximate analytic treatment of these instabilities and show that the most unstable wavelength is parametrically larger than a dynamically generated length scale which in many hydrodynamic systems is close to the cutoff. We also summarize how the string construction we discuss can be derived from the Gross-Pitaevskii lagrangian, and also how it compares to the action for giant gravitons.

[ { "created": "Sun, 10 Aug 2014 15:59:55 GMT", "version": "v1" } ]

2014-08-12

[ [ "Gubser", "Steven S.", "" ], [ "Nayar", "Revant", "" ], [ "Parikh", "Sarthak", "" ] ]

We treat string propagation and interaction in the presence of a background Neveu-Schwarz three-form field strength, suitable for describing vortex rings in a superfluid or low-viscosity normal fluid. A circular vortex ring exhibits instabilities which have been recognized for many years, but whose precise boundaries we determine for the first time analytically in the small core limit. Two circular vortices colliding head-on exhibit stronger instabilities which cause splitting into many small vortices at late times. We provide an approximate analytic treatment of these instabilities and show that the most unstable wavelength is parametrically larger than a dynamically generated length scale which in many hydrodynamic systems is close to the cutoff. We also summarize how the string construction we discuss can be derived from the Gross-Pitaevskii lagrangian, and also how it compares to the action for giant gravitons.

14.080991

15.491403

14.901499

13.443195

16.32235

14.469201

15.396672

13.188277

14.526813

15.530128

14.054075

13.195687

14.25176

13.41346

13.363669

13.803555

13.238818

13.577276

13.235324

13.685721

13.154444

hep-th/9901033

Iouri Chepelev

Are M-atrix theory and Maldacena's conjecture related?

10 pages, LATEX; v2: references added; v3: An expanded discussion of the flat space interpretation and some other clarifying remarks added. References and acknowledgments added; v4: Final version, to appear in PLB

Phys.Lett. B453 (1999) 245-252

10.1016/S0370-2693(99)00362-7

null

hep-th

null

We give arguments in the support of a relation between M-atrix theory and Maldacena's conjecture. M-atrix theory conjecture implies the equivalence of 11-D light-cone supergravity and strongly-coupled (0+1)-D SYM. Maldacena's SUGRA/SYM duality conjecture implies, in the one dimensional SYM case, the equivalence between strongly-coupled (0+1)-D SYM and 11-D supergravity compactified on a spatial circle in the formal Seiberg-Sen limit. Using the classical equivalence between 11-D supergravity on a light-like circle and on a spatial circle in the formal Seiberg-Sen limit, we argue that in the (0+1)-D SYM case, the large-N M-atrix theory in the supergravity regime is equivalent to SUGRA/SYM duality.

[ { "created": "Mon, 11 Jan 1999 21:53:25 GMT", "version": "v1" }, { "created": "Mon, 18 Jan 1999 19:41:25 GMT", "version": "v2" }, { "created": "Mon, 22 Feb 1999 21:24:06 GMT", "version": "v3" }, { "created": "Wed, 17 Mar 1999 22:50:49 GMT", "version": "v4" } ]

2009-10-31

[ [ "Chepelev", "Iouri", "" ] ]

We give arguments in the support of a relation between M-atrix theory and Maldacena's conjecture. M-atrix theory conjecture implies the equivalence of 11-D light-cone supergravity and strongly-coupled (0+1)-D SYM. Maldacena's SUGRA/SYM duality conjecture implies, in the one dimensional SYM case, the equivalence between strongly-coupled (0+1)-D SYM and 11-D supergravity compactified on a spatial circle in the formal Seiberg-Sen limit. Using the classical equivalence between 11-D supergravity on a light-like circle and on a spatial circle in the formal Seiberg-Sen limit, we argue that in the (0+1)-D SYM case, the large-N M-atrix theory in the supergravity regime is equivalent to SUGRA/SYM duality.

5.828301

5.680067

6.183278

5.608931

5.343471

5.372022

5.500428

5.253221

5.36109

5.934073

5.293238

5.406765

5.70765

5.51293

5.599781

5.453524

5.526115

5.365121

5.543845

5.590897

5.551926

hep-th/0112150

Andre Miemiec

Dario Martelli and Andre Miemiec

CFT/CFT interpolating RG flows and the holographic c-function

20 pages, discussion at the end of sec. 3 and sec. 4.1 changed

JHEP 0204:027,2002

10.1088/1126-6708/2002/04/027

null

hep-th

null

We consider holographic RG flows which interpolate between non-trivial ultra-violet (UV) and infra-red (IR) conformal fixed points. We study the ``superpotentials'' which characterize different flows and discuss their expansions near the fixed points. Then we focus on the holographic $c$-function as defined from the two-point function of the stress-energy tensor. We point out that the equation for the metric fluctuations in the background flow is equivalent to a scattering problem and we use this to obtain an expression for the $c$-function in terms of the associated Jost functions. We propose two explicit models that realize UV-IR flows. In the first example we consider a thin wall separating two AdS spaces with different radii, while in the second one the UV region is replaced with an asymptotically AdS space. We find that the holographic $c$-function obeys the expected properties. In particular it reduces to the correct -- nonzero -- central charge in the IR limit.

[ { "created": "Tue, 18 Dec 2001 13:47:25 GMT", "version": "v1" }, { "created": "Fri, 11 Jan 2002 15:00:54 GMT", "version": "v2" }, { "created": "Wed, 6 Mar 2002 14:36:18 GMT", "version": "v3" } ]

2010-02-03

[ [ "Martelli", "Dario", "" ], [ "Miemiec", "Andre", "" ] ]

We consider holographic RG flows which interpolate between non-trivial ultra-violet (UV) and infra-red (IR) conformal fixed points. We study the ``superpotentials'' which characterize different flows and discuss their expansions near the fixed points. Then we focus on the holographic $c$-function as defined from the two-point function of the stress-energy tensor. We point out that the equation for the metric fluctuations in the background flow is equivalent to a scattering problem and we use this to obtain an expression for the $c$-function in terms of the associated Jost functions. We propose two explicit models that realize UV-IR flows. In the first example we consider a thin wall separating two AdS spaces with different radii, while in the second one the UV region is replaced with an asymptotically AdS space. We find that the holographic $c$-function obeys the expected properties. In particular it reduces to the correct -- nonzero -- central charge in the IR limit.

7.217601

6.831847

7.59724

6.667778

7.452542

6.969205

7.610157

7.13504

6.958563

7.629581

6.847379

7.122551

7.121169

6.90867

7.066538

7.176654

7.203547

6.891004

7.09695

7.131938

6.877717

hep-th/0610169

Stefan Groot Nibbelink

Stefan Groot Nibbelink, Marco Peloso, Matthew Sexton

Nonlinear Properties of Vielbein Massive Gravity

23+1 pages LaTeX, 3 figures, few typos corrected

Eur.Phys.J.C51:741-752,2007

10.1140/epjc/s10052-007-0311-x

UMN-TH-2523/06, HD-THEP-06-26, SIAS-CMTP-06-7

hep-th

null

We propose a non-linear extension of the Fierz-Pauli mass for the graviton through a functional of the vielbein and an external Minkowski background. The functional generalizes the notion of the measure, since it reduces to a cosmological constant if the external background is formally sent to zero. Such a term and the explicit external background, emerge dynamically from a bi--gravity theory, having both a massless and a massive graviton in its spectrum, in a specific limit in which the massless mode decouples, while the massive one couples universally to matter. We investigate the massive theory using the Stueckelberg method and providing a 't Hooft-Feynman gauge fixing in which the tensor, vector and scalar Stueckelberg fields decouple. We show that this model has the softest possible ultraviolet behavior which can be expected from any generic (Lorentz invariant) theory of massive gravity, namely that it becomes strong only at the scale Lambda_3 = (m_g^2 M_P)^{1/3}.

[ { "created": "Sun, 15 Oct 2006 11:44:21 GMT", "version": "v1" }, { "created": "Mon, 30 Apr 2007 07:56:02 GMT", "version": "v2" } ]

2008-11-26

[ [ "Nibbelink", "Stefan Groot", "" ], [ "Peloso", "Marco", "" ], [ "Sexton", "Matthew", "" ] ]

We propose a non-linear extension of the Fierz-Pauli mass for the graviton through a functional of the vielbein and an external Minkowski background. The functional generalizes the notion of the measure, since it reduces to a cosmological constant if the external background is formally sent to zero. Such a term and the explicit external background, emerge dynamically from a bi--gravity theory, having both a massless and a massive graviton in its spectrum, in a specific limit in which the massless mode decouples, while the massive one couples universally to matter. We investigate the massive theory using the Stueckelberg method and providing a 't Hooft-Feynman gauge fixing in which the tensor, vector and scalar Stueckelberg fields decouple. We show that this model has the softest possible ultraviolet behavior which can be expected from any generic (Lorentz invariant) theory of massive gravity, namely that it becomes strong only at the scale Lambda_3 = (m_g^2 M_P)^{1/3}.

10.13134

10.432676

10.100789

9.464786

10.624582

11.21321

10.758392

9.97542

9.837414

11.365831

9.664691

9.862904

9.803092

9.775697

9.716796

9.850865

9.709348

9.899954

9.803009

10.040327

9.552855

2301.05732

Vladimir Narovlansky

Akash Goel, Vladimir Narovlansky, Herman Verlinde

Semiclassical geometry in double-scaled SYK

27 pages, 7 figures

null

hep-th cond-mat.str-el

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

We argue that at finite energies, double-scaled SYK has a semiclassical approximation controlled by a coupling $\lambda $ in which all observables are governed by a non-trivial saddle point. The Liouville description of double-scaled SYK suggests that the correlation functions define a geometry in a two-dimensional bulk, with the 2-point function describing the metric. For small coupling, the fluctuations are highly suppressed, and the bulk describes a rigid (A)dS spacetime. As the coupling increases, the fluctuations become stronger. We study the correction to the curvature of the bulk geometry induced by these fluctuations. We find that as we go deeper into the bulk the curvature increases and that the theory eventually becomes strongly coupled. In general, the curvature is related to energy fluctuations in light operators. We also compute the entanglement entropy of partially entangled thermal states in the semiclassical limit.

[ { "created": "Fri, 13 Jan 2023 19:24:52 GMT", "version": "v1" } ]

2023-01-18

[ [ "Goel", "Akash", "" ], [ "Narovlansky", "Vladimir", "" ], [ "Verlinde", "Herman", "" ] ]

We argue that at finite energies, double-scaled SYK has a semiclassical approximation controlled by a coupling $\lambda $ in which all observables are governed by a non-trivial saddle point. The Liouville description of double-scaled SYK suggests that the correlation functions define a geometry in a two-dimensional bulk, with the 2-point function describing the metric. For small coupling, the fluctuations are highly suppressed, and the bulk describes a rigid (A)dS spacetime. As the coupling increases, the fluctuations become stronger. We study the correction to the curvature of the bulk geometry induced by these fluctuations. We find that as we go deeper into the bulk the curvature increases and that the theory eventually becomes strongly coupled. In general, the curvature is related to energy fluctuations in light operators. We also compute the entanglement entropy of partially entangled thermal states in the semiclassical limit.

11.40598

11.372196

12.129072

10.522001

11.101589

11.684051

10.430766

11.100644

10.664795

12.865072

10.699631

10.875813

11.812349

10.844892

10.959025

10.742832

10.887099

10.920132

10.837577

11.679648

11.040076

1803.06827

Kedar Kolekar

Kedar S. Kolekar, K. Narayan

$AdS_2$ dilaton gravity from reductions of some nonrelativistic theories

Latex, 30pgs, references and various clarifications added; v3: references added, typos fixed, matches published version

Phys. Rev. D 98, 046012 (2018)

10.1103/PhysRevD.98.046012

null

hep-th

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

We study dilaton-gravity theories in 2-dimensions obtained by dimensional reduction of higher dimensional nonrelativistic theories. Focussing on certain families of extremal charged hyperscaling violating Lifshitz black branes in Einstein-Maxwell-scalar theories with an extra gauge field in 4-dimensions, we obtain $AdS_2$ backgrounds in the near horizon throats. We argue that these backgrounds can be obtained in equivalent theories of 2-dim dilaton-gravity with an extra scalar, descending from the higher dimensional scalar, and an interaction potential with the dilaton. A simple subcase here is the relativistic black brane in Einstein-Maxwell theory. We then study linearized fluctuations of the metric, dilaton and the extra scalar about these $AdS_2$ backgrounds. The coefficient of the leading Schwarzian derivative term is proportional to the entropy of the (compactified) extremal black branes.

[ { "created": "Mon, 19 Mar 2018 07:58:19 GMT", "version": "v1" }, { "created": "Thu, 26 Apr 2018 09:38:18 GMT", "version": "v2" }, { "created": "Tue, 7 Aug 2018 10:11:29 GMT", "version": "v3" } ]

2018-08-22

[ [ "Kolekar", "Kedar S.", "" ], [ "Narayan", "K.", "" ] ]

We study dilaton-gravity theories in 2-dimensions obtained by dimensional reduction of higher dimensional nonrelativistic theories. Focussing on certain families of extremal charged hyperscaling violating Lifshitz black branes in Einstein-Maxwell-scalar theories with an extra gauge field in 4-dimensions, we obtain $AdS_2$ backgrounds in the near horizon throats. We argue that these backgrounds can be obtained in equivalent theories of 2-dim dilaton-gravity with an extra scalar, descending from the higher dimensional scalar, and an interaction potential with the dilaton. A simple subcase here is the relativistic black brane in Einstein-Maxwell theory. We then study linearized fluctuations of the metric, dilaton and the extra scalar about these $AdS_2$ backgrounds. The coefficient of the leading Schwarzian derivative term is proportional to the entropy of the (compactified) extremal black branes.

8.04032

7.933668

8.81487

7.70728

7.918796

7.994267

8.082611

7.691563

7.788974

9.243531

7.340456

7.776401

8.122481

7.56604

7.497555

7.652806

7.710515

7.733008

7.77447

8.376741

7.324981

hep-th/0607145

Kazuya Koyama

Kazuya Koyama, Kayoko Koyama and Frederico Arroja

On the 4D effective theory in warped compactifications with fluxes and branes

12 pages

Phys.Lett.B641:81-87,2006

10.1016/j.physletb.2006.08.029

null

hep-th

null

We present a systematic way to derive the four-dimensional effective theories for warped compactifications with fluxes and branes in the ten-dimensional type IIB supergravity. The ten-dimensional equations of motion are solved using the gradient expansion method and the effective four-dimensional equations of motions are derived by imposing the consistency condition that the total derivative terms with respect to the six-dimensional internal coordinates vanish when integrated over the internal manifold. By solving the effective four-dimensional equations, we can find the gravitational backreaction to the warped geometry due to the dynamics of moduli fields, branes and fluxes.

[ { "created": "Thu, 20 Jul 2006 13:29:15 GMT", "version": "v1" } ]

2008-11-26

[ [ "Koyama", "Kazuya", "" ], [ "Koyama", "Kayoko", "" ], [ "Arroja", "Frederico", "" ] ]

We present a systematic way to derive the four-dimensional effective theories for warped compactifications with fluxes and branes in the ten-dimensional type IIB supergravity. The ten-dimensional equations of motion are solved using the gradient expansion method and the effective four-dimensional equations of motions are derived by imposing the consistency condition that the total derivative terms with respect to the six-dimensional internal coordinates vanish when integrated over the internal manifold. By solving the effective four-dimensional equations, we can find the gravitational backreaction to the warped geometry due to the dynamics of moduli fields, branes and fluxes.

6.405632

5.44971

6.340615

5.529677

5.499321

5.468507

5.596272

5.777517

5.465899

6.667781

5.744914

5.7264

6.057368

5.563587

5.782248

5.852318

5.706199

5.614216

5.628558

6.027559

5.613945

2306.17126

Aldo Lorenzo Cotrone

Francesco Bigazzi, Tommaso Canneti, Aldo L. Cotrone

Higher Order Corrections to the Hagedorn Temperature at Strong Coupling

13 pages. V2: added clarifications, some typos fixed

null

hep-th

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

We propose a general formula for higher order corrections to the value of the Hagedorn temperature of a class of holographic confining gauge theories in the strong coupling expansion. Inspired by recent proposals in the literature, the formula combines the sigma-model string expansion with an effective approach. In particular, it includes the sigma-model contributions to the Hagedorn temperature at next-to-next-to leading order, which are computed in full generality. For ${\cal N}=4$ SYM on $S^3$ our result agrees with numerical field theory estimates with excellent precision. We use the general formula to predict the value of the Hagedorn temperature for ABJM on $S^2$ and for the dual of purely RR global $AdS_3$.

[ { "created": "Thu, 29 Jun 2023 17:31:47 GMT", "version": "v1" }, { "created": "Sun, 9 Jul 2023 17:58:42 GMT", "version": "v2" } ]

2023-07-11

[ [ "Bigazzi", "Francesco", "" ], [ "Canneti", "Tommaso", "" ], [ "Cotrone", "Aldo L.", "" ] ]

We propose a general formula for higher order corrections to the value of the Hagedorn temperature of a class of holographic confining gauge theories in the strong coupling expansion. Inspired by recent proposals in the literature, the formula combines the sigma-model string expansion with an effective approach. In particular, it includes the sigma-model contributions to the Hagedorn temperature at next-to-next-to leading order, which are computed in full generality. For ${\cal N}=4$ SYM on $S^3$ our result agrees with numerical field theory estimates with excellent precision. We use the general formula to predict the value of the Hagedorn temperature for ABJM on $S^2$ and for the dual of purely RR global $AdS_3$.

8.734998

8.472817

9.162885

8.259367

8.68102

7.820865

7.861357

7.83334

8.042605

9.000439

8.015

7.939604

8.934921

8.036755

8.442645

8.317438

8.093703

8.043691

7.868764

8.449467

8.126462

hep-th/0201257

Boris Pioline

B. Pioline (LPTHE)

Comments on the topological open membrane

6 pages, latex2e, uses revtex4

Phys.Rev. D66 (2002) 025010

10.1103/PhysRevD.66.025010

LPTHE-02-06

hep-th

null

Just as non-commutative gauge theories arise from quantising open strings in a large magnetic field, non-Abelian two-form gauge theories may conceivably be constructed by quantising open membranes in a large three-form magnetic background. We make some observations that arise in following this strategy, with an emphasis on the relation to the quantisation of volume-preserving diffeomorphisms (vpd). In particular, we construct consistent non-Abelian interactions of a two-form in 3+1 dimensions, based on gauge invariance under vpd.

[ { "created": "Wed, 30 Jan 2002 20:54:48 GMT", "version": "v1" } ]

2009-11-07

[ [ "Pioline", "B.", "", "LPTHE" ] ]

Just as non-commutative gauge theories arise from quantising open strings in a large magnetic field, non-Abelian two-form gauge theories may conceivably be constructed by quantising open membranes in a large three-form magnetic background. We make some observations that arise in following this strategy, with an emphasis on the relation to the quantisation of volume-preserving diffeomorphisms (vpd). In particular, we construct consistent non-Abelian interactions of a two-form in 3+1 dimensions, based on gauge invariance under vpd.

8.756274

7.217236

8.822986

7.564894

7.935479

7.535879

7.321649

7.609899

7.303771

9.712221

7.236877

6.952896

7.461422

7.028891

7.117455

6.979109

7.229948

7.257065

7.20497

7.259783

7.375899

hep-th/0608027

Hans Jockers

Suresh Govindarajan and Hans Jockers

Effective superpotentials for B-branes in Landau-Ginzburg models

57p, 7 figs, harvmac

JHEP 0610:060,2006

10.1088/1126-6708/2006/10/060

CERN-PH-TH/2006-157

hep-th

null

We compute the partition function for the topological Landau-Ginzburg B-model on the disk. This is done by treating the worldsheet superpotential perturbatively. We argue that this partition function as a function of bulk and boundary perturbations may be identified with the effective D-brane superpotential in the target spacetime. We point out the relationship of this approach to matrix factorizations. Using these methods, we prove a conjecture for the effective superpotential of Herbst, Lazaroiu and Lerche for the A-type minimal models. We also consider the Landau-Ginzburg theory of the cubic torus where we show that the effective superpotential, given by the partition function, is consistent with the one obtained by summing up disk instantons in the mirror A-model. This is done by explicitly constructing the open-string mirror map.

[ { "created": "Thu, 3 Aug 2006 13:21:27 GMT", "version": "v1" } ]

2010-02-03

[ [ "Govindarajan", "Suresh", "" ], [ "Jockers", "Hans", "" ] ]

We compute the partition function for the topological Landau-Ginzburg B-model on the disk. This is done by treating the worldsheet superpotential perturbatively. We argue that this partition function as a function of bulk and boundary perturbations may be identified with the effective D-brane superpotential in the target spacetime. We point out the relationship of this approach to matrix factorizations. Using these methods, we prove a conjecture for the effective superpotential of Herbst, Lazaroiu and Lerche for the A-type minimal models. We also consider the Landau-Ginzburg theory of the cubic torus where we show that the effective superpotential, given by the partition function, is consistent with the one obtained by summing up disk instantons in the mirror A-model. This is done by explicitly constructing the open-string mirror map.

7.837057

7.651609

10.35097

8.57948

8.143163

7.993423

8.034927

8.251024

7.949535

9.582868

7.993097

7.944537

9.389133

8.099002

8.160447

7.92028

8.227032

7.705801

7.965973

9.076483

7.919096

hep-th/0504002

Gero von Gersdorff

Gero von Gersdorff and Arthur Hebecker

Radius Stabilization by Two-Loop Casimir Energy

18 pages, 2 figures, uses axodraw, references added

Nucl.Phys. B720 (2005) 211-227

10.1016/j.nuclphysb.2005.06.001

HD-THEP-05-06

hep-th hep-ph

null

It is well known that the Casimir energy of bulk fields induces a non-trivial potential for the compactification radius of higher-dimensional field theories. On dimensional grounds, the 1-loop potential is ~ 1/R^4. Since the 5d gauge coupling constant g^2 has the dimension of length, the two-loop correction is ~ g^2/R^5. The interplay of these two terms leads, under very general circumstances (including other interacting theories and more compact dimensions), to a stabilization at finite radius. Perturbative control or, equivalently, a parametrically large compact radius is ensured if the 1-loop coefficient is small because of an approximate fermion-boson cancellation. This is similar to the perturbativity argument underlying the Banks-Zaks fixed point proposal. Our analysis includes a scalar toy model, 5d Yang-Mills theory with charged matter, the examination of S^1 and S^1/Z_2 geometries, as well as a brief discussion of the supersymmetric case with Scherk-Schwarz SUSY breaking. 2-Loop calculability in the S^1/Z_2 case relies on the log-enhancement of boundary kinetic terms at the 1-loop level.

[ { "created": "Fri, 1 Apr 2005 08:35:35 GMT", "version": "v1" }, { "created": "Thu, 14 Apr 2005 09:29:32 GMT", "version": "v2" } ]

2010-04-05

[ [ "von Gersdorff", "Gero", "" ], [ "Hebecker", "Arthur", "" ] ]

It is well known that the Casimir energy of bulk fields induces a non-trivial potential for the compactification radius of higher-dimensional field theories. On dimensional grounds, the 1-loop potential is ~ 1/R^4. Since the 5d gauge coupling constant g^2 has the dimension of length, the two-loop correction is ~ g^2/R^5. The interplay of these two terms leads, under very general circumstances (including other interacting theories and more compact dimensions), to a stabilization at finite radius. Perturbative control or, equivalently, a parametrically large compact radius is ensured if the 1-loop coefficient is small because of an approximate fermion-boson cancellation. This is similar to the perturbativity argument underlying the Banks-Zaks fixed point proposal. Our analysis includes a scalar toy model, 5d Yang-Mills theory with charged matter, the examination of S^1 and S^1/Z_2 geometries, as well as a brief discussion of the supersymmetric case with Scherk-Schwarz SUSY breaking. 2-Loop calculability in the S^1/Z_2 case relies on the log-enhancement of boundary kinetic terms at the 1-loop level.

9.787993

10.079995

10.973259

9.761522

10.34573

10.478279

9.955221

9.88629

9.710004

11.553714

9.853545

9.632003

9.73043

9.36337

9.485877

9.47519

9.516664

9.462785

9.341377

10.017836

9.327087

0707.1553

Rajesh R. Parwani

Wei-Khim Ng and Rajesh R. Parwani

Nonlinear Dirac Equations

null

SIGMA 5 (2009), 023, 20 pages

10.3842/SIGMA.2009.023

null

hep-th quant-ph

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

We construct nonlinear extensions of Dirac's relativistic electron equation that preserve its other desirable properties such as locality, separability, conservation of probability and Poincar\'e invariance. We determine the constraints that the nonlinear term must obey and classify the resultant non-polynomial nonlinearities in a double expansion in the degree of nonlinearity and number of derivatives. We give explicit examples of such nonlinear equations, studying their discrete symmetries and other properties. Motivated by some previously suggested applications we then consider nonlinear terms that simultaneously violate Lorentz covariance and again study various explicit examples. We contrast our equations and construction procedure with others in the literature and also show that our equations are not gauge equivalent to the linear Dirac equation. Finally we outline various physical applications for these equations.

[ { "created": "Wed, 11 Jul 2007 03:40:40 GMT", "version": "v1" }, { "created": "Fri, 27 Feb 2009 06:01:21 GMT", "version": "v2" } ]

2009-02-27

[ [ "Ng", "Wei-Khim", "" ], [ "Parwani", "Rajesh R.", "" ] ]

We construct nonlinear extensions of Dirac's relativistic electron equation that preserve its other desirable properties such as locality, separability, conservation of probability and Poincar\'e invariance. We determine the constraints that the nonlinear term must obey and classify the resultant non-polynomial nonlinearities in a double expansion in the degree of nonlinearity and number of derivatives. We give explicit examples of such nonlinear equations, studying their discrete symmetries and other properties. Motivated by some previously suggested applications we then consider nonlinear terms that simultaneously violate Lorentz covariance and again study various explicit examples. We contrast our equations and construction procedure with others in the literature and also show that our equations are not gauge equivalent to the linear Dirac equation. Finally we outline various physical applications for these equations.

4.408107

10.524513

9.449692

10.004448

10.03823

10.123919

10.452005

9.767184

10.520319

10.892865

8.75797

7.818575

9.355487

7.435032

8.785051

6.922316

7.757858

7.149691

7.762846

8.279196

7.273564

1511.08843

Giancarlo Camilo

Giancarlo Camilo, Bertha Cuadros-Melgar, Elcio Abdalla

Holographic quenches towards a Lifshitz point

33 pages, 4 figures. V2: minor clarifications and references added, new subsection and appendix included discussing the time evolution of correlators. Matches version to appear in JHEP

JHEP02(2016)014

10.1007/JHEP02(2016)014

null

hep-th gr-qc

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

We use the holographic duality to study quantum quenches of a strongly coupled CFT that drive the theory towards a non-relativistic fixed point with Lifshitz scaling. We consider the case of a Lifshitz dynamical exponent $z$ close to unity, where the non-relativistic field theory can be understood as a specific deformation of the corresponding CFT and, hence, the standard holographic dictionary can be applied. On the gravity side this amounts to finding a dynamical bulk solution which interpolates between AdS and Lishitz spacetimes as time evolves. We show that an asymptotically Lifshitz black hole is always formed in the final state. This indicates that it is impossible to reach the vacuum state of the Lifshitz theory from the CFT vacuum as a result of the proposed quenching mechanism. The nonequilibrium dynamics following the breaking of the relativistic scaling symmetry is also probed using both local and non-local observables. In particular, we conclude that the equilibration process happens in a top-down manner, i.e., the symmetry is broken faster for UV modes.

[ { "created": "Fri, 27 Nov 2015 22:32:51 GMT", "version": "v1" }, { "created": "Sun, 24 Jan 2016 02:45:01 GMT", "version": "v2" } ]

2016-03-15

[ [ "Camilo", "Giancarlo", "" ], [ "Cuadros-Melgar", "Bertha", "" ], [ "Abdalla", "Elcio", "" ] ]

We use the holographic duality to study quantum quenches of a strongly coupled CFT that drive the theory towards a non-relativistic fixed point with Lifshitz scaling. We consider the case of a Lifshitz dynamical exponent $z$ close to unity, where the non-relativistic field theory can be understood as a specific deformation of the corresponding CFT and, hence, the standard holographic dictionary can be applied. On the gravity side this amounts to finding a dynamical bulk solution which interpolates between AdS and Lishitz spacetimes as time evolves. We show that an asymptotically Lifshitz black hole is always formed in the final state. This indicates that it is impossible to reach the vacuum state of the Lifshitz theory from the CFT vacuum as a result of the proposed quenching mechanism. The nonequilibrium dynamics following the breaking of the relativistic scaling symmetry is also probed using both local and non-local observables. In particular, we conclude that the equilibration process happens in a top-down manner, i.e., the symmetry is broken faster for UV modes.

7.794588

7.437821

8.389446

7.340835

7.812862

7.742649

7.801708

7.520691

7.339994

8.099871

7.296884

7.726247

8.026907

7.533336

7.518213

7.54552

7.576585

7.549764

7.595264

7.976459

7.555831

hep-th/0306208

Shinji Mukohyama

Gravity in the dynamical approach to the cosmological constant

40 pages; references added; 3 new sections added to explain underlying idea, numerical results and quantum mechanical stability; version to appear in PRD

Phys.Rev.D70:063505,2004

10.1103/PhysRevD.70.063505

HUTP-03/A044

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

null

One of the most disturbing difficulties in thinking about the cosmological constant is that it is not stable under radiative corrections. The feedback mechanism proposed in [hep-th/0306108] is a dynamical way to protect a zero or small cosmological constant against radiative corrections. Hence, while this by itself does not solve the cosmological constant problem, it can help solving the problem. In the present paper we investigate stability and gravity in this approach and show that the feedback mechanism is both classically and quantum mechanically stable and has self-consistent, stable dynamics.

[ { "created": "Mon, 23 Jun 2003 19:12:14 GMT", "version": "v1" }, { "created": "Thu, 26 Jun 2003 21:28:47 GMT", "version": "v2" }, { "created": "Fri, 28 May 2004 02:30:31 GMT", "version": "v3" }, { "created": "Wed, 14 Jul 2004 20:29:43 GMT", "version": "v4" } ]

2014-11-18

[ [ "Mukohyama", "Shinji", "" ] ]

One of the most disturbing difficulties in thinking about the cosmological constant is that it is not stable under radiative corrections. The feedback mechanism proposed in [hep-th/0306108] is a dynamical way to protect a zero or small cosmological constant against radiative corrections. Hence, while this by itself does not solve the cosmological constant problem, it can help solving the problem. In the present paper we investigate stability and gravity in this approach and show that the feedback mechanism is both classically and quantum mechanically stable and has self-consistent, stable dynamics.

11.476024

10.837097

10.955404

9.907972

11.338809

11.246378

10.997701

10.292317

10.749394

10.809516

10.287426

10.143296

9.993515

9.938104

10.293839

10.255295

10.173178

10.212642

9.951471

10.351713

10.082774

hep-th/9712023

Calin Iuliu Lazaroiu

M. Bershadsky, T. M. Chiang, B. R. Greene, A. Johansen, C. I. Lazaroiu

F-theory and linear sigma models

40 pages, no figures; minor cosmetic reorganization of section 4; reference [6] updated

Nucl.Phys. B527 (1998) 531-570

10.1016/S0550-3213(98)00429-5

CU-TP-870, HUTP/97-A050, CLNS 97/1524

hep-th math.AG

null

We present an explicit method for translating between the linear sigma model and the spectral cover description of SU(r) stable bundles over an elliptically fibered Calabi-Yau manifold. We use this to investigate the 4-dimensional duality between (0,2) heterotic and F-theory compactifications. We indirectly find that much interesting heterotic information must be contained in the `spectral bundle' and in its dual description as a gauge theory on multiple F-theory 7-branes. A by-product of these efforts is a method for analyzing semistability and the splitting type of vector bundles over an elliptic curve given as the sheaf cohomology of a monad.

[ { "created": "Tue, 2 Dec 1997 21:52:34 GMT", "version": "v1" }, { "created": "Thu, 14 May 1998 18:46:06 GMT", "version": "v2" } ]

2016-09-06

[ [ "Bershadsky", "M.", "" ], [ "Chiang", "T. M.", "" ], [ "Greene", "B. R.", "" ], [ "Johansen", "A.", "" ], [ "Lazaroiu", "C. I.", "" ] ]

We present an explicit method for translating between the linear sigma model and the spectral cover description of SU(r) stable bundles over an elliptically fibered Calabi-Yau manifold. We use this to investigate the 4-dimensional duality between (0,2) heterotic and F-theory compactifications. We indirectly find that much interesting heterotic information must be contained in the `spectral bundle' and in its dual description as a gauge theory on multiple F-theory 7-branes. A by-product of these efforts is a method for analyzing semistability and the splitting type of vector bundles over an elliptic curve given as the sheaf cohomology of a monad.

11.832416

11.628016

15.352894

11.122065

10.639232

10.750801

10.641318

11.340366

11.097877

16.77709

10.258026

10.995428

13.815961

11.956391

11.680038

11.423116

11.520383

11.719913

11.638852

13.185787

10.896315

2404.17326

Arko Bhaumik

Arko Bhaumik, Soumitra SenGupta

Inflation via Moduli Potentials in a Nested Warped Geometry

22 pages, 7 sets of figures, 1 table, comments welcome

null

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

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

We analyze the effective four-dimensional dynamics of the extra-dimensional moduli fields in curved braneworlds having nested warping, with particular emphasis on the doubly warped model which is interesting in the light of current collider constraints on the mass of the Kaluza-Klein graviton. The presence of a non-zero brane cosmological constant ($\Omega$) naturally induces an effective moduli potential in the four-dimensional action, which shows distinct features in dS ($\Omega>0$) and AdS ($\Omega<0$) branches. For the observationally interesting case of dS 4-branes, a metastable minimum in the potential arises along the first modulus, with no minima along the higher moduli. The underlying nested geometry also leads to interesting separable forms of the non-canonical kinetic terms in the Einstein frame, where the brane curvature directly impacts the kinetic properties of only the first modulus. We subsequently explore the ability of curved multiply warped geometries to drive inflation with an in-built exit mechanism, by assuming predominant slow roll along each modular direction on a case-by-case basis. We find slow roll on top of the metastable plateau along the first modular direction to be the most viable scenario, with the higher-dimensional moduli parametrically tuning the height of the potential without significant impact on the inflationary observables. On the other hand, while slow roll along the higher moduli can successfully inflate the background and eventually lead to an exit, consistency with observations seemingly requires unphysical hierarchies among the extra-dimensional radii, thus disfavouring such scenarios.

[ { "created": "Fri, 26 Apr 2024 11:20:48 GMT", "version": "v1" } ]

2024-06-27

[ [ "Bhaumik", "Arko", "" ], [ "SenGupta", "Soumitra", "" ] ]

We analyze the effective four-dimensional dynamics of the extra-dimensional moduli fields in curved braneworlds having nested warping, with particular emphasis on the doubly warped model which is interesting in the light of current collider constraints on the mass of the Kaluza-Klein graviton. The presence of a non-zero brane cosmological constant ($\Omega$) naturally induces an effective moduli potential in the four-dimensional action, which shows distinct features in dS ($\Omega>0$) and AdS ($\Omega<0$) branches. For the observationally interesting case of dS 4-branes, a metastable minimum in the potential arises along the first modulus, with no minima along the higher moduli. The underlying nested geometry also leads to interesting separable forms of the non-canonical kinetic terms in the Einstein frame, where the brane curvature directly impacts the kinetic properties of only the first modulus. We subsequently explore the ability of curved multiply warped geometries to drive inflation with an in-built exit mechanism, by assuming predominant slow roll along each modular direction on a case-by-case basis. We find slow roll on top of the metastable plateau along the first modular direction to be the most viable scenario, with the higher-dimensional moduli parametrically tuning the height of the potential without significant impact on the inflationary observables. On the other hand, while slow roll along the higher moduli can successfully inflate the background and eventually lead to an exit, consistency with observations seemingly requires unphysical hierarchies among the extra-dimensional radii, thus disfavouring such scenarios.

11.438415

12.222439

11.32739

11.297137

11.545971

12.038907

11.955389

11.233069

11.381774

11.736526

11.169382

11.027878

11.15119

11.263337

11.390195

11.128898

11.189058

11.168794

11.122633

11.381448

11.099745

1509.05710

Joseph Polchinski

Brane/antibrane dynamics and KKLT stability

null

hep-th

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

String theory has few or no stable nonsupersymmetric or de Sitter vacua, only metastable ones. Antibranes are a simple source of supersymmetry breaking, as in the KKLT model, but various arguments have been given that these fail to produce the desired vacua. Proper analysis of the system requires identifying the correct effective field theories at various scales. We find that it reproduces the KKLT conclusions. This is an expanded version of a talk presented at SUSY 2015, Lake Tahoe.

[ { "created": "Fri, 18 Sep 2015 17:20:15 GMT", "version": "v1" }, { "created": "Fri, 25 Sep 2015 19:59:32 GMT", "version": "v2" } ]

2015-09-28

[ [ "Polchinski", "Joseph", "" ] ]

String theory has few or no stable nonsupersymmetric or de Sitter vacua, only metastable ones. Antibranes are a simple source of supersymmetry breaking, as in the KKLT model, but various arguments have been given that these fail to produce the desired vacua. Proper analysis of the system requires identifying the correct effective field theories at various scales. We find that it reproduces the KKLT conclusions. This is an expanded version of a talk presented at SUSY 2015, Lake Tahoe.

13.714334

12.434443

14.297592

12.326785

12.196063

13.348089

12.538936

12.336223

11.937201

14.640904

12.243649

12.281869

12.798608

12.610196

12.288263

12.514442

12.858706

12.254194

12.607622

13.052392

12.036839

1006.4505

Kazunobu Maruyoshi

Kazunobu Maruyoshi and Masato Taki

Deformed Prepotential, Quantum Integrable System and Liouville Field Theory

47 pages; v2: references added, typos corrected; v3: a version to appear in Nuclear Physics B

Nucl.Phys.B841:388-425,2010

10.1016/j.nuclphysb.2010.08.008

YITP-10-45

hep-th

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

We study the dual descriptions recently discovered for the Seiberg-Witten theory in the presence of surface operators. The Nekrasov partition function for a four-dimensional N=2 gauge theory with a surface operator is believed equal to the wave-function of the corresponding integrable system, or the Hitchin system, and is identified with the conformal block with a degenerate field via the AGT relation. We verify the conjecture by showing that the null state condition leads to the Schrodinger equations of the integrable systems. Furthermore, we show that the deformed prepotential emerging from the period integrals of the principal function corresponds to monodromy operation of the conformal block. We also give the instanton partition functions for the asymptotically free SU(2) gauge theories in the presence of the surface operator via the AGT relation. We find that these partition functions involve the counting of two- and four-dimensional instantons.

[ { "created": "Wed, 23 Jun 2010 13:00:34 GMT", "version": "v1" }, { "created": "Thu, 8 Jul 2010 08:03:11 GMT", "version": "v2" }, { "created": "Fri, 20 Aug 2010 03:24:46 GMT", "version": "v3" } ]

2014-11-21

[ [ "Maruyoshi", "Kazunobu", "" ], [ "Taki", "Masato", "" ] ]

We study the dual descriptions recently discovered for the Seiberg-Witten theory in the presence of surface operators. The Nekrasov partition function for a four-dimensional N=2 gauge theory with a surface operator is believed equal to the wave-function of the corresponding integrable system, or the Hitchin system, and is identified with the conformal block with a degenerate field via the AGT relation. We verify the conjecture by showing that the null state condition leads to the Schrodinger equations of the integrable systems. Furthermore, we show that the deformed prepotential emerging from the period integrals of the principal function corresponds to monodromy operation of the conformal block. We also give the instanton partition functions for the asymptotically free SU(2) gauge theories in the presence of the surface operator via the AGT relation. We find that these partition functions involve the counting of two- and four-dimensional instantons.

8.40821

8.354124

10.281875

7.926274

8.560096

8.284437

8.490165

8.116196

8.098987

10.773275

7.846396

8.068056

8.235972

8.013355

7.904104

8.137595

8.068168

8.119832

7.861262

8.458928

7.860748

2110.02964

Nicole Righi

Michele Cicoli, Veronica Guidetti, Nicole Righi, Alexander Westphal

Fuzzy Dark Matter Candidates from String Theory

34 pages + 4 appendices, v2: minor changes, reviewed and extended results on C2 axions and thraxions, v3: improved final plot, additional background discussion, JHEP accepted version

null

10.1007/JHEP05(2022)107

DESY-21-153

hep-th astro-ph.CO hep-ph

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

String theory has been claimed to give rise to natural fuzzy dark matter candidates in the form of ultralight axions. In this paper we revisit this claim by a detailed study of how moduli stabilisation affects the masses and decay constants of different axion fields which arise in type IIB flux compactifications. We find that obtaining a considerable contribution to the observed dark matter abundance without tuning the axion initial misalignment angle is not a generic feature of 4D string models since it requires a mild violation of the $S f\lesssim M_P$ bound, where $S$ is the instanton action and $f$ the axion decay constant. Our analysis singles out $C_4$-axions, $C_2$-axions and thraxions as the best candidates to realise fuzzy dark matter in string theory. For all these ultralight axions we provide predictions which can be confronted with present and forthcoming observations.

[ { "created": "Wed, 6 Oct 2021 18:00:01 GMT", "version": "v1" }, { "created": "Mon, 22 Nov 2021 18:48:20 GMT", "version": "v2" }, { "created": "Tue, 26 Apr 2022 07:03:35 GMT", "version": "v3" } ]

2022-06-01

[ [ "Cicoli", "Michele", "" ], [ "Guidetti", "Veronica", "" ], [ "Righi", "Nicole", "" ], [ "Westphal", "Alexander", "" ] ]

String theory has been claimed to give rise to natural fuzzy dark matter candidates in the form of ultralight axions. In this paper we revisit this claim by a detailed study of how moduli stabilisation affects the masses and decay constants of different axion fields which arise in type IIB flux compactifications. We find that obtaining a considerable contribution to the observed dark matter abundance without tuning the axion initial misalignment angle is not a generic feature of 4D string models since it requires a mild violation of the $S f\lesssim M_P$ bound, where $S$ is the instanton action and $f$ the axion decay constant. Our analysis singles out $C_4$-axions, $C_2$-axions and thraxions as the best candidates to realise fuzzy dark matter in string theory. For all these ultralight axions we provide predictions which can be confronted with present and forthcoming observations.

8.161049

7.2852

8.838282

7.363125

8.357677

8.968166

8.126047

8.14479

7.672816

8.562564

7.86422

8.23559

7.777921

7.796258

7.635401

8.178934

8.023439

7.989568

7.655278

7.780345

7.920286

hep-th/0406042

Sergei Vergeles

S. N. Vergeles

The Dynamic Quantization of Gravity and the Cosmological Constant Problem

22 pages

null

hep-th

null

After a brief outlook of the dynamic quantization method and application of the method to gravity the idea of natural solution of cosmological constant problem in inflating Universe is presented.

[ { "created": "Fri, 4 Jun 2004 09:48:45 GMT", "version": "v1" }, { "created": "Wed, 9 Jun 2004 17:16:29 GMT", "version": "v2" } ]

2016-09-06

[ [ "Vergeles", "S. N.", "" ] ]

After a brief outlook of the dynamic quantization method and application of the method to gravity the idea of natural solution of cosmological constant problem in inflating Universe is presented.

36.664246

31.697393

24.534578

23.725872

28.467884

25.692617

24.339888

24.496954

24.898643

28.344082

24.718433

26.708853

25.953896

25.447302

26.185125

26.541605

26.963835

25.734951

26.678076

25.801466

25.949707

1709.05757

Kazuhiro Yamamoto

Atsushi Higuchi, Satoshi Iso, Kazushige Ueda, Kazuhiro Yamamoto

Entanglement of the Vacuum between Left, Right, Future, and Past: The Origin of Entanglement-Induced Quantum Radiation

29 pages, accepted for publication in PRD

Phys. Rev. D 96, 083531 (2017)

10.1103/PhysRevD.96.083531

KEK-TH-1999, HUPD-1711

hep-th gr-qc quant-ph

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

The Minkowski vacuum state is expressed as an entangled state between the left and right Rindler wedges when it is constructed on the Rindler vacuum. In this paper, we further examine the entanglement structure and extend the expression to the future (expanding) and past (shrinking) Kasner spacetimes. This clarifies the origin of the quantum radiation produced by an Unruh--DeWitt detector in uniformly accelerated motion in the four-dimensional Minkowski spacetime. We also investigate the two-dimensional massless case where the quantum radiation vanishes but the same entanglement structure exists.

[ { "created": "Mon, 18 Sep 2017 03:09:13 GMT", "version": "v1" }, { "created": "Tue, 3 Oct 2017 12:56:47 GMT", "version": "v2" } ]

2017-11-08

[ [ "Higuchi", "Atsushi", "" ], [ "Iso", "Satoshi", "" ], [ "Ueda", "Kazushige", "" ], [ "Yamamoto", "Kazuhiro", "" ] ]

The Minkowski vacuum state is expressed as an entangled state between the left and right Rindler wedges when it is constructed on the Rindler vacuum. In this paper, we further examine the entanglement structure and extend the expression to the future (expanding) and past (shrinking) Kasner spacetimes. This clarifies the origin of the quantum radiation produced by an Unruh--DeWitt detector in uniformly accelerated motion in the four-dimensional Minkowski spacetime. We also investigate the two-dimensional massless case where the quantum radiation vanishes but the same entanglement structure exists.

8.644986

8.075793

8.2551

7.555485

8.00916

7.508334

8.114379

7.00013

7.656355

7.64203

7.398979

7.395066

7.95704

7.593721

7.750129

7.568861

7.590697

7.387996

7.359974

7.557709

7.867777

1703.06119

Clifford V. Johnson

An Exact Model of the Power/Efficiency Trade-Off While Approaching the Carnot Limit

5 pages, 2 figures (Essentially the version to appear in Phys. Rev. D. Discussion and computations improved and extended. Typos fixed. References added.)

Phys. Rev. D 98, 026008 (2018)

10.1103/PhysRevD.98.026008

null

hep-th cond-mat.stat-mech gr-qc

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

The Carnot heat engine sets an upper bound on the efficiency of a heat engine. As an ideal, reversible engine, a single cycle must be performed in infinite time, and so the Carnot engine has zero power. However, there is nothing in principle forbidding the existence of a heat engine whose efficiency approaches that of Carnot while maintaining finite power. Such an engine must have very special properties, some of which have been discussed in the literature, in various limits. While recent theorems rule out a large class of engines from maintaining finite power at exactly the Carnot efficiency, the approach to the limit still merits close study. Presented here is an exactly solvable model of such an approach that may serve as a laboratory for exploration of the underlying mechanisms. The equations of state have their origins in the extended thermodynamics of electrically charged black holes.

[ { "created": "Fri, 17 Mar 2017 17:28:03 GMT", "version": "v1" }, { "created": "Tue, 4 Apr 2017 18:50:26 GMT", "version": "v2" }, { "created": "Mon, 25 Jun 2018 17:38:38 GMT", "version": "v3" } ]

2018-07-11

[ [ "Johnson", "Clifford V.", "" ] ]

The Carnot heat engine sets an upper bound on the efficiency of a heat engine. As an ideal, reversible engine, a single cycle must be performed in infinite time, and so the Carnot engine has zero power. However, there is nothing in principle forbidding the existence of a heat engine whose efficiency approaches that of Carnot while maintaining finite power. Such an engine must have very special properties, some of which have been discussed in the literature, in various limits. While recent theorems rule out a large class of engines from maintaining finite power at exactly the Carnot efficiency, the approach to the limit still merits close study. Presented here is an exactly solvable model of such an approach that may serve as a laboratory for exploration of the underlying mechanisms. The equations of state have their origins in the extended thermodynamics of electrically charged black holes.

10.383746

10.072872

9.796677

9.27135

10.029288

10.09977

10.909754

10.171918

10.236561

10.74758

8.990307

9.638908

9.500758

9.352798

9.616307

9.552348

9.535167

9.293841

9.491381

9.879371

9.547437

hep-th/9612175

null

Minoru Hirayama, Hui-Min Zhang and Takeshi Hamada

Induced Gauge Structure of Quantum Mechanics on $S^D$

LaTex,15Pages

Prog.Theor.Phys. 97 (1997) 679-690

10.1143/PTP.97.679

null

hep-th

null

The Ohnuki-Kitakado (O-K) scheme of quantum mechanics on $S^D$ embedded in $R^{D+1}$ is investigated. Generators satisfying the O-K algebra are written down explicitly in term of the induced gauge potential. A direct method is developed to obtain the generators in covariant form. It is seen that there exists an induced gauge configuration which is trivial on $S^D$ but might cause a nontrivial physical effect in $R^{D+1}$. The relation of the O-K scheme to extended objects such as the 't Hooft-Polyakov monopole is discussed.

[ { "created": "Tue, 17 Dec 1996 10:12:41 GMT", "version": "v1" }, { "created": "Tue, 18 Mar 1997 08:59:56 GMT", "version": "v2" }, { "created": "Wed, 19 Mar 1997 09:27:05 GMT", "version": "v3" } ]

2016-09-06

[ [ "Hirayama", "Minoru", "" ], [ "Zhang", "Hui-Min", "" ], [ "Hamada", "Takeshi", "" ] ]

The Ohnuki-Kitakado (O-K) scheme of quantum mechanics on $S^D$ embedded in $R^{D+1}$ is investigated. Generators satisfying the O-K algebra are written down explicitly in term of the induced gauge potential. A direct method is developed to obtain the generators in covariant form. It is seen that there exists an induced gauge configuration which is trivial on $S^D$ but might cause a nontrivial physical effect in $R^{D+1}$. The relation of the O-K scheme to extended objects such as the 't Hooft-Polyakov monopole is discussed.

9.647943

8.499192

8.473148

7.283566

7.79528

7.861889

7.838995

7.373053

7.816988

10.04027

7.354709

7.530337

7.713828

7.661426

7.849122

7.713747

7.479301

7.825471

7.566942

8.267622

7.346394

hep-th/0409109

Domenico Seminara

Nicola Caporaso, Luca Griguolo, Sara Pasquetti and Domenico Seminara

Non-commutative topologically massive gauge theory

11 Pages, 1 figure;requires ws-procs9x6.cls and rotating_pr.sty (World Scientific proceedings style, 9 x 6 inch trim size); Presented at Deserfest: A Celebration of the Life and Works of Stanley Deser, Ann Arbor, Michigan, 3-5 Apr 2004

null

hep-th

null

We investigate the perturbative dynamics of noncommutative topologically massive gauge theories with softly broken supersymmetry. The deformed dispersion relations induced by noncommutativity are derived and their implications on the quantum consistency of the theory are discussed.

[ { "created": "Thu, 9 Sep 2004 22:22:03 GMT", "version": "v1" }, { "created": "Tue, 14 Sep 2004 13:32:56 GMT", "version": "v2" } ]

2007-05-23

[ [ "Caporaso", "Nicola", "" ], [ "Griguolo", "Luca", "" ], [ "Pasquetti", "Sara", "" ], [ "Seminara", "Domenico", "" ] ]

We investigate the perturbative dynamics of noncommutative topologically massive gauge theories with softly broken supersymmetry. The deformed dispersion relations induced by noncommutativity are derived and their implications on the quantum consistency of the theory are discussed.

8.356484

6.616098

7.90735

7.295509

6.634414

6.51824

6.47559

6.370268

6.898173

8.090737

7.187846

7.597898

8.206273

7.851778

7.78133

7.69453

7.463673

7.590256

7.9049

8.247274

7.730178

hep-th/9712125

Joan Simon

Friedemann Brandt, Joaquim Gomis, Joan Sim\'on

Cohomological analysis of bosonic D-strings and 2d sigma models coupled to abelian gauge fields

41 pages, latex, no figures; change of title and abstract, some comments added; to appear in Nucl. Phys. B

Nucl.Phys. B523 (1998) 623-662

10.1016/S0550-3213(98)00271-5

UB-ECM-PF-97/28

hep-th

null

We analyse completely the BRST cohomology on local functionals for two dimensional sigma models coupled to abelian world sheet gauge fields, including effective bosonic D-string models described by Born-Infeld actions. In particular we prove that the rigid symmetries of such models are exhausted by the solutions to generalized Killing vector equations which we have presented recently, and provide all the consistent first order deformations and candidate gauge anomalies of the models under study. For appropriate target space geometries we find nontrivial deformations both of the abelian gauge transformations and of the world sheet diffeomorphisms, and antifield dependent candidate anomalies for both types of symmetries separately, as well as mixed ones.

[ { "created": "Fri, 12 Dec 1997 17:39:30 GMT", "version": "v1" }, { "created": "Tue, 14 Apr 1998 13:09:27 GMT", "version": "v2" } ]

2009-10-30

[ [ "Brandt", "Friedemann", "" ], [ "Gomis", "Joaquim", "" ], [ "Simón", "Joan", "" ] ]

We analyse completely the BRST cohomology on local functionals for two dimensional sigma models coupled to abelian world sheet gauge fields, including effective bosonic D-string models described by Born-Infeld actions. In particular we prove that the rigid symmetries of such models are exhausted by the solutions to generalized Killing vector equations which we have presented recently, and provide all the consistent first order deformations and candidate gauge anomalies of the models under study. For appropriate target space geometries we find nontrivial deformations both of the abelian gauge transformations and of the world sheet diffeomorphisms, and antifield dependent candidate anomalies for both types of symmetries separately, as well as mixed ones.

12.919244

11.96806

13.650514

11.008341

12.530666

12.313063

12.741874

13.076467

11.346822

16.388363

11.431992

12.303102

12.748859

11.507719

11.455215

12.18408

11.951638

11.629635

11.802438

12.636813

11.756801

hep-th/0411109

Koichi Hamaguchi

Wilfried Buchmuller, Koichi Hamaguchi, Oleg Lebedev, Michael Ratz

Maximal Temperature in Flux Compactifications

10 pages, 10 figures. v2:comment and references added

JCAP 0501 (2005) 004

10.1088/1475-7516/2005/01/004

DESY-04-216

hep-th astro-ph hep-ph

null

Thermal corrections have an important effect on moduli stabilization leading to the existence of a maximal temperature, beyond which the compact dimensions decompactify. In this note, we discuss generality of our earlier analysis and apply it to the case of flux compactifications. The maximal temperature is again found to be controlled by the supersymmetry breaking scale, T_{crit} \sim \sqrt{m_{3/2} M_P}.

[ { "created": "Wed, 10 Nov 2004 17:25:10 GMT", "version": "v1" }, { "created": "Fri, 19 Nov 2004 15:36:33 GMT", "version": "v2" } ]

2009-11-10

[ [ "Buchmuller", "Wilfried", "" ], [ "Hamaguchi", "Koichi", "" ], [ "Lebedev", "Oleg", "" ], [ "Ratz", "Michael", "" ] ]

Thermal corrections have an important effect on moduli stabilization leading to the existence of a maximal temperature, beyond which the compact dimensions decompactify. In this note, we discuss generality of our earlier analysis and apply it to the case of flux compactifications. The maximal temperature is again found to be controlled by the supersymmetry breaking scale, T_{crit} \sim \sqrt{m_{3/2} M_P}.

9.906128

7.754169

7.880023

7.23231

7.038471

8.35445

8.176776

7.724802

7.276057

8.840559

7.83899

7.292215

7.737299

7.361402

7.202645

7.318191

7.169455

7.555363

7.642369

7.883217

7.84478

hep-th/0611243

Dani\`ele Steer Dr

E.J.Copeland, T.W.B.Kibble, D.A.Steer

Constraints on string networks with junctions

12 pages, 6 figures. Version to appear in PRD. (2 new references and slightly extended discussion in section VII)

Phys.Rev.D75:065024,2007

10.1103/PhysRevD.75.065024

Imperial/TP/06/TK/02

hep-th astro-ph

null

We consider the constraints on string networks with junctions in which the strings may all be different, as may be found for example in a network of $(p,q)$ cosmic superstrings. We concentrate on three aspects of junction dynamics. First we consider the propagation of small amplitude waves across a static three-string junction. Then, generalizing our earlier work, we determine the kinematic constraints on two colliding strings with different tensions. As before, the important conclusion is that strings do not always reconnect with a third string; they can pass straight through one another (or in the case of non-abelian strings become stuck in an X configuration), the constraint depending on the angle at which the strings meet, on their relative velocity, and on the ratios of the string tensions. For example, if the two colliding strings have equal tensions, then for ultra-relativistic initial velocities they pass through one another. However, if their tensions are sufficiently different they can reconnect. Finally, we consider the global properties of junctions and strings in a network. Assuming that, in a network, the incoming waves at a junction are independently randomly distributed, we determine the r.m.s. velocities of strings and calculate the average speed at which a junction moves along each of the three strings from which it is formed. Our findings suggest that junction dynamics may be such as to preferentially remove the heavy strings from the network leaving a network of predominantly light strings. Furthermore the r.m.s. velocity of strings in a network with junctions is smaller than 1/\sqrt{2}, the result for conventional Nambu-Goto strings without junctions in Minkowski spacetime.

[ { "created": "Wed, 22 Nov 2006 19:02:47 GMT", "version": "v1" }, { "created": "Thu, 8 Mar 2007 08:08:33 GMT", "version": "v2" } ]

2008-11-26

[ [ "Copeland", "E. J.", "" ], [ "Kibble", "T. W. B.", "" ], [ "Steer", "D. A.", "" ] ]

We consider the constraints on string networks with junctions in which the strings may all be different, as may be found for example in a network of $(p,q)$ cosmic superstrings. We concentrate on three aspects of junction dynamics. First we consider the propagation of small amplitude waves across a static three-string junction. Then, generalizing our earlier work, we determine the kinematic constraints on two colliding strings with different tensions. As before, the important conclusion is that strings do not always reconnect with a third string; they can pass straight through one another (or in the case of non-abelian strings become stuck in an X configuration), the constraint depending on the angle at which the strings meet, on their relative velocity, and on the ratios of the string tensions. For example, if the two colliding strings have equal tensions, then for ultra-relativistic initial velocities they pass through one another. However, if their tensions are sufficiently different they can reconnect. Finally, we consider the global properties of junctions and strings in a network. Assuming that, in a network, the incoming waves at a junction are independently randomly distributed, we determine the r.m.s. velocities of strings and calculate the average speed at which a junction moves along each of the three strings from which it is formed. Our findings suggest that junction dynamics may be such as to preferentially remove the heavy strings from the network leaving a network of predominantly light strings. Furthermore the r.m.s. velocity of strings in a network with junctions is smaller than 1/\sqrt{2}, the result for conventional Nambu-Goto strings without junctions in Minkowski spacetime.

8.3384

9.528667

9.073889

8.584108

8.922187

9.58532

8.740422

8.979324

8.348844

9.641786

8.517961

8.34048

8.489597

8.30831

8.573002

8.591397

8.271101

8.455932

8.371682

8.364857

8.304754

1302.0291

Takahisa Igata

Takahisa Igata, Hideki Ishihara, Yohsuke Takamori

Stable Bound Orbits of Massless Particles around a Black Ring

16 pages, 12 figures

null

10.1103/PhysRevD.87.104005

OCU-PHYS 376, AP-GR 103

hep-th gr-qc

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

We study the geodesic motion of massless particles in singly rotating black ring spacetimes. We find stable stationary orbits of massless particles in toroidal spiral shape in the case that the thickness parameter of a black ring is less than a critical value. Furthermore, there exist nonstationary massless particles bounded in a finite region outside the horizon. This is the first example of stable bound orbits of massless particles around a black object.

[ { "created": "Fri, 1 Feb 2013 21:09:55 GMT", "version": "v1" } ]

2013-05-08

[ [ "Igata", "Takahisa", "" ], [ "Ishihara", "Hideki", "" ], [ "Takamori", "Yohsuke", "" ] ]

We study the geodesic motion of massless particles in singly rotating black ring spacetimes. We find stable stationary orbits of massless particles in toroidal spiral shape in the case that the thickness parameter of a black ring is less than a critical value. Furthermore, there exist nonstationary massless particles bounded in a finite region outside the horizon. This is the first example of stable bound orbits of massless particles around a black object.

9.21491

8.754988

7.599592

7.736993

7.978785

9.279504

9.171735

7.917236

8.353188

7.915115

8.674238

8.644282

8.196155

8.134749

8.198351

8.488345

8.683055

8.346634

8.52499

8.037383

8.478171

0902.4526

Iosif Bena

Iosif Bena, Gianguido Dall'Agata, Stefano Giusto, Clement Ruef and Nicholas P. Warner

Non-BPS Black Rings and Black Holes in Taub-NUT

26 pages, LaTeX

JHEP 0906:015,2009

10.1088/1126-6708/2009/06/015

IPhT-T09/020, DFPD09/TH05

hep-th gr-qc

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

We solve the recently-proposed equations describing non-BPS extremal multi-center configurations, and construct explicit solutions describing non-supersymmetric extremal black rings in Taub-NUT, as well as the seed solution for the most general extremal non-BPS under-rotating black hole in four dimensions. We also find solutions that contain both a black hole and a black ring, which descend to four-dimensional extremal non-BPS two-center black holes with generic charges.

[ { "created": "Thu, 26 Feb 2009 16:34:29 GMT", "version": "v1" } ]

2009-12-10

[ [ "Bena", "Iosif", "" ], [ "Dall'Agata", "Gianguido", "" ], [ "Giusto", "Stefano", "" ], [ "Ruef", "Clement", "" ], [ "Warner", "Nicholas P.", "" ] ]

We solve the recently-proposed equations describing non-BPS extremal multi-center configurations, and construct explicit solutions describing non-supersymmetric extremal black rings in Taub-NUT, as well as the seed solution for the most general extremal non-BPS under-rotating black hole in four dimensions. We also find solutions that contain both a black hole and a black ring, which descend to four-dimensional extremal non-BPS two-center black holes with generic charges.

9.775191

7.698775

10.423693

7.538176

7.755425

7.145259

7.173773

7.789782

7.872981

11.282011

8.051867

8.355913

9.404276

8.277246

8.390556

8.225595

8.127921

8.085882

8.319238

9.577861

8.123825

1508.02494

Yoshinori Matsuo

Elias Kiritsis, Yoshinori Matsuo

Charge-Hyperscaling Violating Lifshitz hydrodynamics from black-holes

44 pages, v2: minor improvements and a list of definitions added, 48 pages, v3: Published version, many minor misprints corrected, 57 pages

null

10.1007/JHEP12(2015)076

CCTP-2015-14, CCQCN-2015-94

hep-th hep-ph

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

Non-equilibrium black hole horizons are considered in scaling theories with generic Lifshitz invariance and an unbroken U(1) symmetry. There is also charge-hyperscaling violation associated with a non-trivial conduction exponent. The boundary stress tensor is computed and renormalized and the associated hydrodynamic equations derived. Upon a non-trivial redefinition of boundary sources associated with the U(1) gauge field, the equations are mapped to the standard non-relativistic hydrodynamics equations coupled to a mass current and an external Newton potential in accordance with the general theory of [arXiv:1502.00228]. The shear viscosity to entropy ratio is the same as in the relativistic case.

[ { "created": "Tue, 11 Aug 2015 06:19:11 GMT", "version": "v1" }, { "created": "Wed, 9 Sep 2015 09:08:40 GMT", "version": "v2" }, { "created": "Wed, 13 Sep 2017 13:09:07 GMT", "version": "v3" } ]

2017-09-14

[ [ "Kiritsis", "Elias", "" ], [ "Matsuo", "Yoshinori", "" ] ]

Non-equilibrium black hole horizons are considered in scaling theories with generic Lifshitz invariance and an unbroken U(1) symmetry. There is also charge-hyperscaling violation associated with a non-trivial conduction exponent. The boundary stress tensor is computed and renormalized and the associated hydrodynamic equations derived. Upon a non-trivial redefinition of boundary sources associated with the U(1) gauge field, the equations are mapped to the standard non-relativistic hydrodynamics equations coupled to a mass current and an external Newton potential in accordance with the general theory of [arXiv:1502.00228]. The shear viscosity to entropy ratio is the same as in the relativistic case.

9.405018

12.371709

12.438305

10.474095

11.7059

11.652049

11.395573

10.562796

11.072671

13.547782

9.602451

10.097555

10.288989

9.562044

9.797294

9.698061

10.090136

9.96332

9.8106

10.875098

9.76418

2002.04313

Ming Chen Dr

Ming Chen and Yao-Zhong Zhang

Remarks on Replica Method and Sachdev-Ye-Kitaev Model

9 pages,research article,minor modification,one reference added

null

hep-th

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

Through tracing back to EA/SK models, we disentangle the construction logic of SYK model. During the construction, we recall the technical essence of replica method. Then we point out the redundance of the flavor group and the slave indices as well as the color group via the generalization from 2-index SY model to its 4-index version and the simplification of the latter in terms of Majorana fermions. Spectacularly, such a simplification reserves the system's self-consistency condition. Getting rid of the redundance, the model itself and its effective action have the same $O(N_s)$ structural symmetry, while it realizes $AdS_2/CFT_1$ holography by the emergent conformal symmetry. We also clarify the model transmutation to matrix model and argue that the disorder-averaged SYK model naturally preserves a holographic nature. Based on the transmutation and the correspondence with vector model, SYK model is formally a hybrid of these two models. Its quantum and semiclassical properties are also discussed respectively.

[ { "created": "Tue, 11 Feb 2020 11:05:08 GMT", "version": "v1" }, { "created": "Sat, 15 Feb 2020 12:09:20 GMT", "version": "v2" } ]

2020-02-18

[ [ "Chen", "Ming", "" ], [ "Zhang", "Yao-Zhong", "" ] ]

Through tracing back to EA/SK models, we disentangle the construction logic of SYK model. During the construction, we recall the technical essence of replica method. Then we point out the redundance of the flavor group and the slave indices as well as the color group via the generalization from 2-index SY model to its 4-index version and the simplification of the latter in terms of Majorana fermions. Spectacularly, such a simplification reserves the system's self-consistency condition. Getting rid of the redundance, the model itself and its effective action have the same $O(N_s)$ structural symmetry, while it realizes $AdS_2/CFT_1$ holography by the emergent conformal symmetry. We also clarify the model transmutation to matrix model and argue that the disorder-averaged SYK model naturally preserves a holographic nature. Based on the transmutation and the correspondence with vector model, SYK model is formally a hybrid of these two models. Its quantum and semiclassical properties are also discussed respectively.

21.133385

23.628473

21.784349

21.41399

21.041901

21.347549

21.696404

21.976688

19.970001

21.952433

19.748472

20.350611

20.646793

20.550325

20.457449

21.427729

21.111015

20.775463

20.07411

21.360537

19.383806

hep-th/0001081

Maxim Grigoriev

M.A. Grigoriev, A.M. Semikhatov and I.Yu. Tipunin

BRST Formalism and Zero Locus Reduction

21 pages, latex2e, several modifications have been made, main content remains unchanged

J.Math.Phys. 42 (2001) 3315-3333

10.1063/1.1367867

null

hep-th

null

In the BRST quantization of gauge theories, the zero locus $Z_Q$ of the BRST differential $Q$ carries an (anti)bracket whose parity is opposite to that of the fundamental bracket. We show that the on-shell BFV/BV gauge symmetries are in a 1:1 correspondence with Hamiltonian vector fields on $Z_Q$, and observables of the BRST theory are in a 1:1 correspondence with characteristic functions of the bracket on $Z_Q$. By reduction to the zero locus, we obtain relations between bracket operations and differentials arising in different complexes (the Gerstenhaber, Schouten, Berezin-Kirillov, and Sklyanin brackets); the equation ensuring the existence of a nilpotent vector field on the reduced manifold can be the classical Yang-Baxter equation. We also generalize our constructions to the bi-QP-manifolds which from the BRST theory viewpoint corresponds to the BRST-anti-BRST-symmetric quantization.

[ { "created": "Thu, 13 Jan 2000 17:48:43 GMT", "version": "v1" }, { "created": "Mon, 4 Sep 2000 01:22:22 GMT", "version": "v2" } ]

2009-10-31

[ [ "Grigoriev", "M. A.", "" ], [ "Semikhatov", "A. M.", "" ], [ "Tipunin", "I. Yu.", "" ] ]

In the BRST quantization of gauge theories, the zero locus $Z_Q$ of the BRST differential $Q$ carries an (anti)bracket whose parity is opposite to that of the fundamental bracket. We show that the on-shell BFV/BV gauge symmetries are in a 1:1 correspondence with Hamiltonian vector fields on $Z_Q$, and observables of the BRST theory are in a 1:1 correspondence with characteristic functions of the bracket on $Z_Q$. By reduction to the zero locus, we obtain relations between bracket operations and differentials arising in different complexes (the Gerstenhaber, Schouten, Berezin-Kirillov, and Sklyanin brackets); the equation ensuring the existence of a nilpotent vector field on the reduced manifold can be the classical Yang-Baxter equation. We also generalize our constructions to the bi-QP-manifolds which from the BRST theory viewpoint corresponds to the BRST-anti-BRST-symmetric quantization.

10.649152

11.416956

10.653456

10.159815

10.981071

10.369948

11.472914

10.567166

10.178403

12.200292

9.93312

10.45004

10.420523

10.14054

10.620434

10.847548

10.256094

10.259499

10.465668

10.977639

10.192491

hep-th/0212009

Jin-Ho Cho

Jin-Ho Cho, Phillial Oh

Supersymmetric Boost on Intersecting D-branes

27 pages using REVTeX4, 7 figures

JHEP 0301 (2003) 046

10.1088/1126-6708/2003/01/046

null

hep-th

null

We study the effect of the Born-Infeld electric field on the supersymmetric configuration of various composite D-branes. We show that the generic values of the electric field do not affect the supersymmetry but, as it approaches $1/2\pi\alpha'$ keeping the magnetic field finite, various combinations of the magnetic fields allow up to 8 supersymmetries. We also explore the unbroken supersymmetries for two intersecting D-strings which are in uniform or relative motion. For a finite uniform Lorentz boost, 16 supersymmetries are guaranteed only when they are parallel. For an infinite one, 8 supersymmetries are preserved only when both the D-strings are oriented to the forward or backward direction of the boost. Under a finite relative boost, 8 supersymmetries are preserved only when the intersecting angle is less than $\pi/2$ and the intersecting point moves at the speed of light. As for an infinite relative boost, 8 supersymmetries are preserved regardless of the values of the intersecting angle.

[ { "created": "Mon, 2 Dec 2002 02:46:11 GMT", "version": "v1" } ]

2009-11-07

[ [ "Cho", "Jin-Ho", "" ], [ "Oh", "Phillial", "" ] ]

We study the effect of the Born-Infeld electric field on the supersymmetric configuration of various composite D-branes. We show that the generic values of the electric field do not affect the supersymmetry but, as it approaches $1/2\pi\alpha'$ keeping the magnetic field finite, various combinations of the magnetic fields allow up to 8 supersymmetries. We also explore the unbroken supersymmetries for two intersecting D-strings which are in uniform or relative motion. For a finite uniform Lorentz boost, 16 supersymmetries are guaranteed only when they are parallel. For an infinite one, 8 supersymmetries are preserved only when both the D-strings are oriented to the forward or backward direction of the boost. Under a finite relative boost, 8 supersymmetries are preserved only when the intersecting angle is less than $\pi/2$ and the intersecting point moves at the speed of light. As for an infinite relative boost, 8 supersymmetries are preserved regardless of the values of the intersecting angle.

6.760071

7.239213

7.524484

6.476917

6.966649

6.758389

6.644253

6.86307

6.703179

7.992098

6.6497

7.030387

6.988119

6.645859

6.655931

6.703678

6.687134

6.565932

6.684696

7.008106

6.62469

1305.0340

Sayantani Bhattacharyya

Sayantani Bhattacharyya, Justin R. David and Somyadip Thakur

Second order transport from anomalies

Error in total number of independent parity odd transport coefficients has been corrected from 29 to 27. Results for the relation of the transport coefficients to the anomaly unchanged. Added a section on chiral dispersion relations, includes additional references. Added two appendices and corrected some typos. 34 pages

null

10.1007/JHEP01(2014)010

null

hep-th hep-ph nucl-th

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

We study parity odd transport at second order in derivative expansion for a non-conformal charged fluid. We see that there are 27 parity odd transport coefficients, of which 12 are non-vanishing in equilibrium. We use the equilibrium partition function method to express 7 of these in terms of the anomaly, shear viscosity, charge diffusivity and thermodynamic functions. The remaining 5 are constrained by 3 relations which also involve the anomaly. We derive Kubo formulae for 2 of the transport coefficients and show these agree with that derived from the equilibrium partition function.

[ { "created": "Thu, 2 May 2013 05:29:28 GMT", "version": "v1" }, { "created": "Sat, 4 May 2013 09:34:57 GMT", "version": "v2" }, { "created": "Mon, 12 Aug 2013 09:08:40 GMT", "version": "v3" }, { "created": "Sat, 28 Dec 2013 06:29:36 GMT", "version": "v4" } ]

2015-06-15

[ [ "Bhattacharyya", "Sayantani", "" ], [ "David", "Justin R.", "" ], [ "Thakur", "Somyadip", "" ] ]

We study parity odd transport at second order in derivative expansion for a non-conformal charged fluid. We see that there are 27 parity odd transport coefficients, of which 12 are non-vanishing in equilibrium. We use the equilibrium partition function method to express 7 of these in terms of the anomaly, shear viscosity, charge diffusivity and thermodynamic functions. The remaining 5 are constrained by 3 relations which also involve the anomaly. We derive Kubo formulae for 2 of the transport coefficients and show these agree with that derived from the equilibrium partition function.

8.484406

7.566618

8.905778

7.589843

7.214853

7.092385

7.373536

7.548123

7.608464

9.087591

7.156618

7.990934

8.808901

7.948997

8.422309

8.177962

8.445223

7.931752

8.085082

8.832396

8.009902

0808.0504

Clifford Cheung

On-Shell Recursion Relations for Generic Theories

19 pages, 3 figures

JHEP 1003:098,2010

10.1007/JHEP03(2010)098

null

hep-th

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

We show that on-shell recursion relations hold for tree amplitudes in generic two derivative theories of multiple particle species and diverse spins. For example, in a gauge theory coupled to scalars and fermions, any amplitude with at least one gluon obeys a recursion relation. In (super)gravity coupled to scalars and fermions, the same holds for any amplitude with at least one graviton. This result pertains to a broad class of theories, including QCD, N=4 SYM, and N=8 supergravity.

[ { "created": "Mon, 4 Aug 2008 20:08:36 GMT", "version": "v1" } ]

2011-03-02

[ [ "Cheung", "Clifford", "" ] ]

We show that on-shell recursion relations hold for tree amplitudes in generic two derivative theories of multiple particle species and diverse spins. For example, in a gauge theory coupled to scalars and fermions, any amplitude with at least one gluon obeys a recursion relation. In (super)gravity coupled to scalars and fermions, the same holds for any amplitude with at least one graviton. This result pertains to a broad class of theories, including QCD, N=4 SYM, and N=8 supergravity.

6.217721

5.755777

6.97662

6.035639

6.000426

6.198878

5.619452

6.040681

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7.267279

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5.941597

5.974444

5.787601

5.862435

5.831246

6.018421

5.919894

6.333849

5.834034

hep-th/9206099

null

J. Alfaro and P.H. Damgaard

The D=1 Matrix Model and the Renormalization Group

8 pages, Latex, CERN-TH-6546/92

Phys.Lett. B289 (1992) 342-346

10.1016/0370-2693(92)91229-3

null

hep-th

null

We compute the critical exponents of $d = 1$ string theory to leading order, using the renormalization group approach recently suggested by Br\'{e}zin and Zinn-Justin.

[ { "created": "Thu, 25 Jun 1992 15:10:06 GMT", "version": "v1" } ]

2009-10-22

[ [ "Alfaro", "J.", "" ], [ "Damgaard", "P. H.", "" ] ]

We compute the critical exponents of $d = 1$ string theory to leading order, using the renormalization group approach recently suggested by Br\'{e}zin and Zinn-Justin.

9.610716

7.519653

9.259912

6.84025

6.925408

6.759971

6.925509

6.853359

6.038377

8.729029

6.367054

6.786363

7.924664

7.224581

7.019661

7.123819

7.16589

7.371065

7.427125

8.028147

7.389784

2206.08024

Mingshuo Zhu

Katsushi Ito, Mingshuo Zhu

ODE/IM correspondence and supersymmetric affine Toda field equations

28 pages; published version

null

10.1016/j.nuclphysb.2022.116004

TIT/HEP-690

hep-th math-ph math.MP

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

We study the linear differential system associated with the supersymmetric affine Toda field equations for affine Lie superalgebras, which has a purely odd simple root system. For an affine Lie algebra, the linear problem modified by conformal transformation leads to an ordinary differential equation (ODE) that provides the functional relations in the integrable models. This is known as the ODE/IM correspondence. For the affine Lie superalgebras, the linear equations modified by a superconformal transformation are shown to reduce to a couple of ODEs for each bosonic subalgebra. In particular, for $osp(2,2)^{(2)}$, the corresponding ODE becomes the second-order ODE with squared potential, which is related to the ${\cal N}=1$ supersymmetric minimal model via the ODE/IM correspondence. We also find ODEs for classical affine Lie superalgebras with purely odd simple root systems.

[ { "created": "Thu, 16 Jun 2022 09:28:14 GMT", "version": "v1" }, { "created": "Fri, 4 Nov 2022 08:30:40 GMT", "version": "v2" } ]

2022-11-07

[ [ "Ito", "Katsushi", "" ], [ "Zhu", "Mingshuo", "" ] ]

We study the linear differential system associated with the supersymmetric affine Toda field equations for affine Lie superalgebras, which has a purely odd simple root system. For an affine Lie algebra, the linear problem modified by conformal transformation leads to an ordinary differential equation (ODE) that provides the functional relations in the integrable models. This is known as the ODE/IM correspondence. For the affine Lie superalgebras, the linear equations modified by a superconformal transformation are shown to reduce to a couple of ODEs for each bosonic subalgebra. In particular, for $osp(2,2)^{(2)}$, the corresponding ODE becomes the second-order ODE with squared potential, which is related to the ${\cal N}=1$ supersymmetric minimal model via the ODE/IM correspondence. We also find ODEs for classical affine Lie superalgebras with purely odd simple root systems.

6.945971

6.951122

8.318035

6.870326

7.235744

7.370358

7.296771

6.790041

6.596046

8.262859

6.858355

7.127052

7.233194

6.993574

6.959288

7.113957

6.986386

7.163793

6.965374

7.268973

6.847491

hep-th/0311241

Luis Ibanez

P.G. Camara, L.E. Ibanez and A.M. Uranga

Flux-induced SUSY-breaking soft terms

58 pages, 1 eps figure. Minor corrections, references added

Nucl.Phys.B689:195-242,2004

10.1016/j.nuclphysb.2004.04.013

IFT-UAM/CSIC-03-42

hep-th hep-ph

null

We describe the computation of SUSY-breaking terms on a D3-brane in a quite general type IIB supergravity background. We apply it to study the SUSY-breaking induced on the D3-brane world-volume by the presence of NSNS and RR 3-form fluxes. We provide explicit general formulae for the SUSY-breaking soft terms valid for the different types of fluxes, leading to different patterns of soft terms. Imaginary anti-selfdual fluxes with G_3 a pure (3,0)-form lead to soft terms corresponding to dilaton-dominated SUSY-breaking. More general SUSY-breaking patterns are discussed, arising from more general fluxes, or from distant anti-D3-branes. The known finiteness properties of dilaton-dominated soft terms are understood in terms of holography. The above results are interpreted in the context of the 4d effective supergravity theory, where flux components correspond to auxiliary fields of e.g. the 4d dilaton and overall volume modulus. We present semirealistic Type IIB orientifold examples with (meta)stable vacua leading to non-vanishing soft terms of the dilaton-domination type. Such models have many of the ingredients of the recent construction of deSitter vacua in string theory. We finally explore possible phenomenological applications of this form of SUSY-breaking, where we show that soft terms are of order M_s^2/M_p. Thus a string scale of order M_s=10^{10} GeV, and compactification scale three orders of magnitude smaller could explain the smallness of the weak scale versus the Planck mass.

[ { "created": "Tue, 25 Nov 2003 13:47:52 GMT", "version": "v1" }, { "created": "Tue, 6 Jan 2004 15:20:33 GMT", "version": "v2" } ]

2008-11-26

[ [ "Camara", "P. G.", "" ], [ "Ibanez", "L. E.", "" ], [ "Uranga", "A. M.", "" ] ]

We describe the computation of SUSY-breaking terms on a D3-brane in a quite general type IIB supergravity background. We apply it to study the SUSY-breaking induced on the D3-brane world-volume by the presence of NSNS and RR 3-form fluxes. We provide explicit general formulae for the SUSY-breaking soft terms valid for the different types of fluxes, leading to different patterns of soft terms. Imaginary anti-selfdual fluxes with G_3 a pure (3,0)-form lead to soft terms corresponding to dilaton-dominated SUSY-breaking. More general SUSY-breaking patterns are discussed, arising from more general fluxes, or from distant anti-D3-branes. The known finiteness properties of dilaton-dominated soft terms are understood in terms of holography. The above results are interpreted in the context of the 4d effective supergravity theory, where flux components correspond to auxiliary fields of e.g. the 4d dilaton and overall volume modulus. We present semirealistic Type IIB orientifold examples with (meta)stable vacua leading to non-vanishing soft terms of the dilaton-domination type. Such models have many of the ingredients of the recent construction of deSitter vacua in string theory. We finally explore possible phenomenological applications of this form of SUSY-breaking, where we show that soft terms are of order M_s^2/M_p. Thus a string scale of order M_s=10^{10} GeV, and compactification scale three orders of magnitude smaller could explain the smallness of the weak scale versus the Planck mass.

8.665534

8.954298

9.06851

8.153817

8.743402

8.78235

8.680103

8.364635

8.324027

9.852633

8.387734

8.912971

8.764096

8.565874

8.729566

8.809313

8.721717

8.878653

8.521887

8.639753

8.516188

hep-th/0002028

Horatiu Stefan Nastase

Horatiu Nastase and Diana Vaman (YITP Stony Brook)

On the nonlinear KK reductions on spheres of supergravity theories

26 pages, latex, no figures, references added, typos corrected

Nucl.Phys.B583:211-236,2000

10.1016/S0550-3213(00)00214-5

null

hep-th

null

We address some issues related to the construction of general Kaluza-Klein (KK) ans\"atze for the compactification of a supergravity (sugra) theory on a sphere $S_m$. We first reproduce various ans\"atze for compactification to 7d from the ansatz for the full nonlinear KK reduction of 11d sugra on $AdS_7\times S_4$. As a side result, we obtain a lagrangian formulation of 7d ${\cal N}=2$ gauged sugra, which so far had only a on-shell formulation, through field equations and constraints. The $AdS_7\times S_4$ ansatz generalizes therefore all previous sphere compactifications to 7d. Then we consider the case when the scalars in the lower dimensional theory are in a coset $Sl(m+1)/SO(m+1)$, and we keep the maximal gauge group $SO(m+1)$. The 11-dimensional sugra truncated on $S_4$ fits precisely the case under consideration, and serves as a model for our construction. We find that the metric ansatz has a universal expression, with the internal space deformed by the scalar fluctuations to a conformally rescaled ellipsoid. We also find the ansatz for the dependence of the antisymmetric tensor on the scalars. We comment on the fermionic ansatz, which will contain a matrix $U$ interpolating between the spinorial $SO(m+1)$ indices of the spherical harmonics and the $R$-symmetry indices of the fermionic fields in the lower dimensional sugra theory. We derive general conditions which the matrix $U$ has to satisfy and we give a formula for the vielbein in terms of $U$. As an application of our methods we obtain the full ansatz for the metric and vielbein for 10d sugra on $AdS_5\times S_5$ (with no restriction on any fields).

[ { "created": "Thu, 3 Feb 2000 21:56:27 GMT", "version": "v1" }, { "created": "Tue, 7 Mar 2000 20:17:49 GMT", "version": "v2" } ]

2010-11-19

[ [ "Nastase", "Horatiu", "", "YITP Stony Brook" ], [ "Vaman", "Diana", "", "YITP Stony Brook" ] ]

We address some issues related to the construction of general Kaluza-Klein (KK) ans\"atze for the compactification of a supergravity (sugra) theory on a sphere $S_m$. We first reproduce various ans\"atze for compactification to 7d from the ansatz for the full nonlinear KK reduction of 11d sugra on $AdS_7\times S_4$. As a side result, we obtain a lagrangian formulation of 7d ${\cal N}=2$ gauged sugra, which so far had only a on-shell formulation, through field equations and constraints. The $AdS_7\times S_4$ ansatz generalizes therefore all previous sphere compactifications to 7d. Then we consider the case when the scalars in the lower dimensional theory are in a coset $Sl(m+1)/SO(m+1)$, and we keep the maximal gauge group $SO(m+1)$. The 11-dimensional sugra truncated on $S_4$ fits precisely the case under consideration, and serves as a model for our construction. We find that the metric ansatz has a universal expression, with the internal space deformed by the scalar fluctuations to a conformally rescaled ellipsoid. We also find the ansatz for the dependence of the antisymmetric tensor on the scalars. We comment on the fermionic ansatz, which will contain a matrix $U$ interpolating between the spinorial $SO(m+1)$ indices of the spherical harmonics and the $R$-symmetry indices of the fermionic fields in the lower dimensional sugra theory. We derive general conditions which the matrix $U$ has to satisfy and we give a formula for the vielbein in terms of $U$. As an application of our methods we obtain the full ansatz for the metric and vielbein for 10d sugra on $AdS_5\times S_5$ (with no restriction on any fields).

7.01922

7.618412

7.993615

7.280467

7.948116

7.464575

7.408531

7.423068

7.385436

7.617039

7.155164

7.148855

7.304547

7.008279

7.319185

7.166214

7.067053

7.20327

7.101996

7.282115

6.991587

0711.4193

Xin-Zhou Li

Ping Xi and Xin-zhou Li

Object Picture of Quasinormal Modes for Stringy Black Holes

4 pages, 5 figures

Chin.Phys.Lett.22:2763-2765,2005

10.1088/0256-307X/22/11/010

null

hep-th

null

We study the quasinormal modes (QNMs) for stringy black holes. By using numerical calculation, the relations between the QNMs and the parameters of black holes are minutely shown. For (1+1)-dimensional stringy black hole, the real part of the quasinormal frequency increases and the imaginary part of the quasinormal frequency decreases as the mass of the black hole increases. Furthermore, the dependence of the QNMs on the charge of the black hole and the flatness parameter is also illustrated. For (1+3)-dimensional stringy black hole, increasing either the event horizon or the multipole index, the real part of the quasinormal frequency decreases. The imaginary part of the quasinormal frequency increases no matter whether the event horizon is increased or the multipole index is decreased.

[ { "created": "Tue, 27 Nov 2007 07:52:35 GMT", "version": "v1" }, { "created": "Thu, 20 Dec 2007 06:59:38 GMT", "version": "v2" } ]

2008-11-26

[ [ "Xi", "Ping", "" ], [ "Li", "Xin-zhou", "" ] ]

We study the quasinormal modes (QNMs) for stringy black holes. By using numerical calculation, the relations between the QNMs and the parameters of black holes are minutely shown. For (1+1)-dimensional stringy black hole, the real part of the quasinormal frequency increases and the imaginary part of the quasinormal frequency decreases as the mass of the black hole increases. Furthermore, the dependence of the QNMs on the charge of the black hole and the flatness parameter is also illustrated. For (1+3)-dimensional stringy black hole, increasing either the event horizon or the multipole index, the real part of the quasinormal frequency decreases. The imaginary part of the quasinormal frequency increases no matter whether the event horizon is increased or the multipole index is decreased.

4.101967

4.293112

3.908956

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3.965163

4.05851

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4.023518

4.034962

3.864215

3.850251

3.9474

4.021009

4.023088

3.883299

3.971041

3.931604

3.986425

1008.0688

Sun ChengYi

C. Y. Sun, Yu Song

Inconsistences in Interacting Agegraphic Dark Energy Models

12 pages, no figure; analysis is added; conclusion is unchanged

Mod. Phys. Lett. A 26 (2011), 3055-3066

10.1142/S0217732311037285

null

hep-th

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

It is found that the origin agegraphic dark energy tracks the matter in the matter-dominated epoch and then the subsequent dark-energy-dominated epoch becomes impossible. It is argued that the difficulty can be removed when the interaction between the agegraphic dark energy and dark matter is considered. In the note, by discussing three different interacting models, we find that the difficulty still stands even in the interacting models. Furthermore, we find that in the interacting models, there exists the other serious inconsistence that the existence of the radiation/matter-dominated epoch contradicts the ability of agegraphic dark energy in driving the accelerated expansion. The contradiction can be avoided in one of the three models if some constraints on the parameters hold.

[ { "created": "Wed, 4 Aug 2010 03:36:59 GMT", "version": "v1" }, { "created": "Fri, 1 Oct 2010 13:10:51 GMT", "version": "v2" }, { "created": "Mon, 5 Sep 2011 13:24:42 GMT", "version": "v3" } ]

2012-11-20

[ [ "Sun", "C. Y.", "" ], [ "Song", "Yu", "" ] ]

It is found that the origin agegraphic dark energy tracks the matter in the matter-dominated epoch and then the subsequent dark-energy-dominated epoch becomes impossible. It is argued that the difficulty can be removed when the interaction between the agegraphic dark energy and dark matter is considered. In the note, by discussing three different interacting models, we find that the difficulty still stands even in the interacting models. Furthermore, we find that in the interacting models, there exists the other serious inconsistence that the existence of the radiation/matter-dominated epoch contradicts the ability of agegraphic dark energy in driving the accelerated expansion. The contradiction can be avoided in one of the three models if some constraints on the parameters hold.

13.242158

15.694176

13.413904

12.558077

13.786939

14.324975

13.247826

13.177342

13.876631

13.707202

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12.705731

12.422529

12.513699

13.048049

12.703856

12.051385

13.047224

13.335191

13.26181

13.094173

hep-th/0306296

Patricio Gaete

Patricio Gaete and Iv\'an Schmidt

Coulomb's law modification in nonlinear and in noncommutative electrodynamics

14 pages, 1 figure

Int.J.Mod.Phys. A19 (2004) 3427-3437

10.1142/S0217751X04018014

USM-TH-139

hep-th

null

We study the lowest-order modifications of the static potential for Born-Infeld electrodynamics and for the $\theta$-expanded version of the noncommutative U(1) gauge theory, within the framework of the gauge-invariant but path-dependent variables formalism. The calculation shows a long-range correction ($1/r^5$-type) to the Coulomb potential in Born-Infeld electrodynamics. However, the Coulomb nature of the potential (to order $e^2$) is preserved in noncommutative electrodynamics.

[ { "created": "Mon, 30 Jun 2003 16:10:32 GMT", "version": "v1" } ]

2009-11-10

[ [ "Gaete", "Patricio", "" ], [ "Schmidt", "Iván", "" ] ]

We study the lowest-order modifications of the static potential for Born-Infeld electrodynamics and for the $\theta$-expanded version of the noncommutative U(1) gauge theory, within the framework of the gauge-invariant but path-dependent variables formalism. The calculation shows a long-range correction ($1/r^5$-type) to the Coulomb potential in Born-Infeld electrodynamics. However, the Coulomb nature of the potential (to order $e^2$) is preserved in noncommutative electrodynamics.

6.72165

4.670963

6.608592

5.131655

4.604742

5.241819

4.51607

4.895331

4.791825

5.992499

4.780311

5.59568

6.298894

5.789593

5.733707

5.586119

5.611665

5.719476

5.773097

6.141568

5.750759

1710.00921

Sa\v{s}o Grozdanov

Sa\v{s}o Grozdanov, Koenraad Schalm, Vincenzo Scopelliti

Black hole scrambling from hydrodynamics

V2: 6 pages, 1 figure. Footnote 3 from V1 regarding the disappearance of the pole at the special point of chaos is rephrased in terms of a vanishing residue (of the retarded longitudinal stress-energy tensor two-point function) and inserted into the main text in order to make its meaning more transparent. Other small clarifications and references are also added

Phys. Rev. Lett. 120, 231601 (2018)

10.1103/PhysRevLett.120.231601

MIT-CTP/4940

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

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

We argue that the gravitational shock wave computation used to extract the scrambling rate in strongly coupled quantum theories with a holographic dual is directly related to probing the system's hydrodynamic sound modes. The information recovered from the shock wave can be reconstructed in terms of purely diffusion-like, linearized gravitational waves at the horizon of a single-sided black hole with specific regularity-enforced imaginary values of frequency and momentum. In two-derivative bulk theories, this horizon "diffusion" can be related to late-time momentum diffusion via a simple relation, which ceases to hold in higher-derivative theories. We then show that the same values of imaginary frequency and momentum follow from a dispersion relation of a hydrodynamic sound mode. The frequency, momentum and group velocity give the holographic Lyapunov exponent and the butterfly velocity. Moreover, at this special point along the sound dispersion relation curve, the residue of the retarded longitudinal stress-energy tensor two-point function vanishes. This establishes a direct link between a hydrodynamic sound mode at an analytically continued, imaginary momentum and the holographic butterfly effect. Furthermore, our results imply that infinitely strongly coupled, large-$N_c$ holographic theories exhibit properties similar to classical dilute gasses; there, late-time equilibration and early-time scrambling are also controlled by the same dynamics.

[ { "created": "Mon, 2 Oct 2017 21:45:47 GMT", "version": "v1" }, { "created": "Thu, 22 Feb 2018 16:51:03 GMT", "version": "v2" } ]

2018-11-28

[ [ "Grozdanov", "Sašo", "" ], [ "Schalm", "Koenraad", "" ], [ "Scopelliti", "Vincenzo", "" ] ]

We argue that the gravitational shock wave computation used to extract the scrambling rate in strongly coupled quantum theories with a holographic dual is directly related to probing the system's hydrodynamic sound modes. The information recovered from the shock wave can be reconstructed in terms of purely diffusion-like, linearized gravitational waves at the horizon of a single-sided black hole with specific regularity-enforced imaginary values of frequency and momentum. In two-derivative bulk theories, this horizon "diffusion" can be related to late-time momentum diffusion via a simple relation, which ceases to hold in higher-derivative theories. We then show that the same values of imaginary frequency and momentum follow from a dispersion relation of a hydrodynamic sound mode. The frequency, momentum and group velocity give the holographic Lyapunov exponent and the butterfly velocity. Moreover, at this special point along the sound dispersion relation curve, the residue of the retarded longitudinal stress-energy tensor two-point function vanishes. This establishes a direct link between a hydrodynamic sound mode at an analytically continued, imaginary momentum and the holographic butterfly effect. Furthermore, our results imply that infinitely strongly coupled, large-$N_c$ holographic theories exhibit properties similar to classical dilute gasses; there, late-time equilibration and early-time scrambling are also controlled by the same dynamics.

12.844241

13.71419

15.63564

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12.555793

12.194675

12.515529

12.763501

12.468017

1903.11573

Nicholas Stephen Manton

N.S. Manton

The Inevitability of Sphalerons in Field Theory

18 pages, 5 figures. Based on Lecture at Royal Society Scientific Discussion Meeting: Topological Avatars of New Physics, 4-5 March 2019

null

10.1098/rsta.2018.0327

DAMTP-2019-10

hep-th

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

The topological structure of field theory often makes inevitable the existence of stable and unstable localised solutions of the field equations. These are minima and saddle points of the energy. Saddle point solutions occurring this way are known as sphalerons, and the most interesting one is in the electroweak theory of coupled W, Z and Higgs bosons. The topological ideas underpinning sphalerons are reviewed here.

[ { "created": "Wed, 27 Mar 2019 17:37:17 GMT", "version": "v1" } ]

2020-07-01

[ [ "Manton", "N. S.", "" ] ]

The topological structure of field theory often makes inevitable the existence of stable and unstable localised solutions of the field equations. These are minima and saddle points of the energy. Saddle point solutions occurring this way are known as sphalerons, and the most interesting one is in the electroweak theory of coupled W, Z and Higgs bosons. The topological ideas underpinning sphalerons are reviewed here.

11.680249

11.561874

10.019302

10.322307

11.567184

11.271821

11.7948

11.414592

10.372577

10.33211

10.956762

10.503364

10.165931

10.088307

10.406366

10.656097

10.384149

10.430229

10.357033

10.236814

10.668707

1212.1948

Norihiro Iizuka

Norihiro Iizuka, Shamit Kachru, Nilay Kundu, Prithvi Narayan, Nilanjan Sircar, Sandip P. Trivedi, Huajia Wang

Extremal Horizons with Reduced Symmetry: Hyperscaling Violation, Stripes, and a Classification for the Homogeneous Case

58 pages, 1 figure and 1 cartoon. v2: references added

null

10.1007/JHEP03(2013)126

null

hep-th cond-mat.str-el

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

Classifying the zero-temperature ground states of quantum field theories with finite charge density is a very interesting problem. Via holography, this problem is mapped to the classification of extremal charged black brane geometries with anti-de Sitter asymptotics. In a recent paper [1], we proposed a Bianchi classification of the extremal near-horizon geometries in five dimensions, in the case where they are homogeneous but, in general, anisotropic. Here, we extend our study in two directions: we show that Bianchi attractors can lead to new phases, and generalize the classification of homogeneous phases in a way suggested by holography. In the first direction, we show that hyperscaling violation can naturally be incorporated into the Bianchi horizons. We also find analytical examples of "striped" horizons. In the second direction, we propose a more complete classification of homogeneous horizon geometries where the natural mathematics involves real four-algebras with three dimensional sub-algebras. This gives rise to a richer set of possible near-horizon geometries, where the holographic radial direction is non-trivially intertwined with field theory spatial coordinates. We find examples of several of the new types in systems consisting of reasonably simple matter sectors coupled to gravity, while arguing that others are forbidden by the Null Energy Condition. Extremal horizons in four dimensions governed by three-algebras or four-algebras are also discussed.

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2015-06-12

[ [ "Iizuka", "Norihiro", "" ], [ "Kachru", "Shamit", "" ], [ "Kundu", "Nilay", "" ], [ "Narayan", "Prithvi", "" ], [ "Sircar", "Nilanjan", "" ], [ "Trivedi", "Sandip P.", "" ], [ "Wang", "Huajia", "" ] ]

Classifying the zero-temperature ground states of quantum field theories with finite charge density is a very interesting problem. Via holography, this problem is mapped to the classification of extremal charged black brane geometries with anti-de Sitter asymptotics. In a recent paper [1], we proposed a Bianchi classification of the extremal near-horizon geometries in five dimensions, in the case where they are homogeneous but, in general, anisotropic. Here, we extend our study in two directions: we show that Bianchi attractors can lead to new phases, and generalize the classification of homogeneous phases in a way suggested by holography. In the first direction, we show that hyperscaling violation can naturally be incorporated into the Bianchi horizons. We also find analytical examples of "striped" horizons. In the second direction, we propose a more complete classification of homogeneous horizon geometries where the natural mathematics involves real four-algebras with three dimensional sub-algebras. This gives rise to a richer set of possible near-horizon geometries, where the holographic radial direction is non-trivially intertwined with field theory spatial coordinates. We find examples of several of the new types in systems consisting of reasonably simple matter sectors coupled to gravity, while arguing that others are forbidden by the Null Energy Condition. Extremal horizons in four dimensions governed by three-algebras or four-algebras are also discussed.

8.854471

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8.587041

hep-th/9610043

Stephen Shenker

T. Banks, W. Fischler, S.H. Shenker, L. Susskind

M Theory As A Matrix Model: A Conjecture

Typo and tex error corrected. 41 pages, harvmac

Phys.Rev.D55:5112-5128,1997

10.1103/PhysRevD.55.5112

RU-96-95, SU-ITP-96-12,UTTG-13-96

hep-th

null

We suggest and motivate a precise equivalence between uncompactified eleven dimensional M-theory and the N = infinity limit of the supersymmetric matrix quantum mechanics describing D0-branes. The evidence for the conjecture consists of several correspondences between the two theories. As a consequence of supersymmetry the simple matrix model is rich enough to describe the properties of the entire Fock space of massless well separated particles of the supergravity theory. In one particular kinematic situation the leading large distance interaction of these particles is exactly described by supergravity . The model appears to be a nonperturbative realization of the holographic principle. The membrane states required by M-theory are contained as excitations of the matrix model. The membrane world volume is a noncommutative geometry embedded in a noncommutative spacetime.

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2009-07-09

[ [ "Banks", "T.", "" ], [ "Fischler", "W.", "" ], [ "Shenker", "S. H.", "" ], [ "Susskind", "L.", "" ] ]

We suggest and motivate a precise equivalence between uncompactified eleven dimensional M-theory and the N = infinity limit of the supersymmetric matrix quantum mechanics describing D0-branes. The evidence for the conjecture consists of several correspondences between the two theories. As a consequence of supersymmetry the simple matrix model is rich enough to describe the properties of the entire Fock space of massless well separated particles of the supergravity theory. In one particular kinematic situation the leading large distance interaction of these particles is exactly described by supergravity . The model appears to be a nonperturbative realization of the holographic principle. The membrane states required by M-theory are contained as excitations of the matrix model. The membrane world volume is a noncommutative geometry embedded in a noncommutative spacetime.

12.093699

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11.419771

10.756952

10.881071

10.947473

10.994604

11.184013

10.799836

11.426773

10.887742

hep-th/0405183

Jorge Pullin

Rodolfo Gambini, Rafael Porto, Jorge Pullin

No black hole information puzzle in a relational universe

4 pages, no figures, revtex

Int.J.Mod.Phys. D13 (2004) 2315-2320

10.1142/S0218271804006383

LSU-REL-052104

hep-th gr-qc quant-ph

null

The introduction of a relational time in quantum gravity naturally implies that pure quantum states evolve into mixed quantum states. We show, using a recently proposed concrete implementation, that the rate at which pure states naturally evolve into mixed ones is faster than that due to collapsing into a black hole that later evaporates. This is rather remarkable since the fundamental mechanism for decoherence is usually very weak. Therefore the ``black hole information puzzle'' is rendered de-facto unobservable.

[ { "created": "Fri, 21 May 2004 07:52:27 GMT", "version": "v1" } ]

2007-05-23

[ [ "Gambini", "Rodolfo", "" ], [ "Porto", "Rafael", "" ], [ "Pullin", "Jorge", "" ] ]

The introduction of a relational time in quantum gravity naturally implies that pure quantum states evolve into mixed quantum states. We show, using a recently proposed concrete implementation, that the rate at which pure states naturally evolve into mixed ones is faster than that due to collapsing into a black hole that later evaporates. This is rather remarkable since the fundamental mechanism for decoherence is usually very weak. Therefore the ``black hole information puzzle'' is rendered de-facto unobservable.

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