LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1612.05032

Parijat Dey

Parijat Dey, Apratim Kaviraj, Aninda Sinha

Mellin space bootstrap for global symmetry

typos corrected

null

10.1007/JHEP07(2017)019

null

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

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

We apply analytic conformal bootstrap ideas in Mellin space to conformal field theories with $O(N)$ symmetry and cubic anisotropy. We write down the conditions arising from the consistency between the operator product expansion and crossing symmetry in Mellin space. We solve the constraint equations to compute the anomalous dimension and the OPE coefficients of all operators quadratic in the fields in the epsilon expansion. We reproduce known results and derive new results up to $O(\epsilon^3)$. For the $O(N)$ case, we also study the large $N$ limit in general dimensions and reproduce known results at the leading order in $1/N$.

[ { "created": "Thu, 15 Dec 2016 11:53:50 GMT", "version": "v1" }, { "created": "Thu, 22 Dec 2016 13:23:42 GMT", "version": "v2" }, { "created": "Fri, 7 Jul 2017 09:25:12 GMT", "version": "v3" }, { "created": "Wed, 10 Jul 2019 20:34:06 GMT", "version": "v4" } ]

2019-07-12

[ [ "Dey", "Parijat", "" ], [ "Kaviraj", "Apratim", "" ], [ "Sinha", "Aninda", "" ] ]

We apply analytic conformal bootstrap ideas in Mellin space to conformal field theories with $O(N)$ symmetry and cubic anisotropy. We write down the conditions arising from the consistency between the operator product expansion and crossing symmetry in Mellin space. We solve the constraint equations to compute the anomalous dimension and the OPE coefficients of all operators quadratic in the fields in the epsilon expansion. We reproduce known results and derive new results up to $O(\epsilon^3)$. For the $O(N)$ case, we also study the large $N$ limit in general dimensions and reproduce known results at the leading order in $1/N$.

6.367078

6.213496

7.288086

6.031563

6.25619

6.728806

6.466576

6.322521

6.042747

7.164854

6.366325

5.64728

6.224782

5.866405

5.903749

5.877538

5.960289

5.834801

5.875422

6.16314

5.743931

hep-th/9303038

null

A. Yu. Alekseev, A. Z. Malkin

Symplectic structures associated to Lie-Poisson groups

30 pages

Commun.Math.Phys. 162 (1994) 147-174

10.1007/BF02105190

PAR-LPTHE 93-08, UUITP 5/1993

hep-th math.SG

null

The Lie-Poisson analogues of the cotangent bundle and coadjoint orbits of a Lie group are considered. For the natural Poisson brackets the symplectic leaves in these manifolds are classified and the corresponding symplectic forms are described. Thus the construction of the Kirillov symplectic form is generalized for Lie-Poisson groups.

[ { "created": "Thu, 4 Mar 1993 15:08:07 GMT", "version": "v1" } ]

2009-10-22

[ [ "Alekseev", "A. Yu.", "" ], [ "Malkin", "A. Z.", "" ] ]

The Lie-Poisson analogues of the cotangent bundle and coadjoint orbits of a Lie group are considered. For the natural Poisson brackets the symplectic leaves in these manifolds are classified and the corresponding symplectic forms are described. Thus the construction of the Kirillov symplectic form is generalized for Lie-Poisson groups.

8.754796

6.297596

8.574803

5.998967

6.195053

6.331876

5.960661

6.108012

6.245534

8.532367

6.434234

6.731174

7.030164

6.395948

6.515383

7.031816

6.909934

6.805116

6.905522

6.766671

6.563324

1803.00630

Luca Fabbri

Non-Causal Propagation for Higher-Order Interactions of Torsion with Spinor Fields

4 pages

Int.J.Theor.Phys.57:1683(2018)

10.1007/s10773-018-3694-6

null

hep-th

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

We consider field equations of spinors with torsional interactions having higher-order dimension: by applying the Velo-Zwanziger method, we obtain that it is always possible to find situations where the propagation is affected by non-causal behaviour.

[ { "created": "Tue, 20 Feb 2018 21:02:33 GMT", "version": "v1" }, { "created": "Tue, 13 Mar 2018 16:34:07 GMT", "version": "v2" } ]

2018-05-10

[ [ "Fabbri", "Luca", "" ] ]

We consider field equations of spinors with torsional interactions having higher-order dimension: by applying the Velo-Zwanziger method, we obtain that it is always possible to find situations where the propagation is affected by non-causal behaviour.

29.925415

27.566322

34.462128

25.289991

34.504116

36.756493

25.599354

27.959217

28.426432

38.522076

23.065521

25.286139

26.772678

25.900734

26.175901

27.037333

26.661516

25.510601

26.607801

26.812674

25.136749

hep-th/9604088

null

Liviu T\u{a}taru and Ion V.Vancea (Department of Theoretical Physics, University of Cluj-Napoca, Romania)

BRST Cohomology of the Superstring in Super-Beltrami Parametrization

14 pages. New references have been added

Mod.Phys.Lett.A12:2551-2566,1997

10.1142/S0217732397002685

null

hep-th

null

A method for the calculation of the BRST cohomology, recently developed for 2D gravity theory and the bosonic string in the Beltrami parametrization,is generalised to the superstring theories quantized in super-Beltrami parametrization.

[ { "created": "Tue, 16 Apr 1996 23:28:26 GMT", "version": "v1" }, { "created": "Thu, 25 Apr 1996 23:45:58 GMT", "version": "v2" } ]

2011-04-12

[ [ "Tătaru", "Liviu", "", "Department of Theoretical Physics,\n University of Cluj-Napoca, Romania" ], [ "Vancea", "Ion V.", "", "Department of Theoretical Physics,\n University of Cluj-Napoca, Romania" ] ]

A method for the calculation of the BRST cohomology, recently developed for 2D gravity theory and the bosonic string in the Beltrami parametrization,is generalised to the superstring theories quantized in super-Beltrami parametrization.

11.957187

8.229981

14.333198

8.671383

9.348332

8.992567

10.204795

9.951172

9.141648

15.301792

8.129662

9.275318

10.68454

9.534392

9.384744

9.561107

9.160539

9.438682

9.880891

10.757868

9.618359

0910.2814

Francois Bourliot

F. Bourliot, J. Estes, C. Kounnas and H. Partouche

Thermal and quantum induced early superstring cosmology

32 pages, 3 figures, to be published by NOVA science publishers

in ''Superstring theory in the 21st Century,'' Horizons in World Physics Vol. 270 (2011), G. B. Charney (editor), 135-160

null

hep-th

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

In this work, we review the results of Refs [1]-[5] dedicated to the description of the early Universe cosmology induced by quantum and thermal effects in superstring theories. The present evolution of the Universe is described very accurately by the standard Lambda-CDM scenario, while very little is known about the early cosmological eras. String theory provides a consistent microscopic theory to account for such missing epochs. In our framework, the Universe is a torus filled with a gas of superstrings. We first show how to describe the thermodynamical properties of this system, namely energy density and pressure, by introducing temperature and supersymmetry breaking effects at a fundamental level by appropriate boundary conditions. We focus on the intermediate period of the history: After the very early "Hagedorn era" and before the late electroweak phase transition. We determine the back-reaction of the gas of strings on the initially static space-time, which then yields the induced cosmology. The consistency of our approach is guaranteed by checking the quasi-staticness of the evolution. It turns out that for arbitrary initial boundary conditions at the exit of the Hagedorn era, the quasi-static evolutions are universally attracted to radiation-dominated solutions. It is shown that at these attractor points, the temperature, the inverse scale factor of the Universe and the supersymmetry breaking scale evolve proportionally. There are two important effects which result from the underlying string description. First, initially small internal dimensions can be spontaneously decompactified during the attraction to a radiation dominated Universe. Second, the radii of internal dimensions can be stabilized.

[ { "created": "Thu, 15 Oct 2009 14:15:45 GMT", "version": "v1" } ]

2021-01-05

[ [ "Bourliot", "F.", "" ], [ "Estes", "J.", "" ], [ "Kounnas", "C.", "" ], [ "Partouche", "H.", "" ] ]

In this work, we review the results of Refs [1]-[5] dedicated to the description of the early Universe cosmology induced by quantum and thermal effects in superstring theories. The present evolution of the Universe is described very accurately by the standard Lambda-CDM scenario, while very little is known about the early cosmological eras. String theory provides a consistent microscopic theory to account for such missing epochs. In our framework, the Universe is a torus filled with a gas of superstrings. We first show how to describe the thermodynamical properties of this system, namely energy density and pressure, by introducing temperature and supersymmetry breaking effects at a fundamental level by appropriate boundary conditions. We focus on the intermediate period of the history: After the very early "Hagedorn era" and before the late electroweak phase transition. We determine the back-reaction of the gas of strings on the initially static space-time, which then yields the induced cosmology. The consistency of our approach is guaranteed by checking the quasi-staticness of the evolution. It turns out that for arbitrary initial boundary conditions at the exit of the Hagedorn era, the quasi-static evolutions are universally attracted to radiation-dominated solutions. It is shown that at these attractor points, the temperature, the inverse scale factor of the Universe and the supersymmetry breaking scale evolve proportionally. There are two important effects which result from the underlying string description. First, initially small internal dimensions can be spontaneously decompactified during the attraction to a radiation dominated Universe. Second, the radii of internal dimensions can be stabilized.

11.33942

12.053409

12.076386

11.376947

12.002641

11.892393

12.629843

11.223987

11.552882

12.270223

11.121827

11.31724

11.078565

10.816428

11.311731

11.194739

11.070921

10.831207

10.943112

10.831688

11.058604

0904.2869

John Klauder

John R. Klauder

Rethinking Renormalization

31 pages, in The legacy of Alladi Ramakrishnan: Mathematics and Physics, Springer (2010, to appear)

null

hep-th math-ph math.MP

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

As applied to quantum theories, the program of renormalization is successful for `renormalizable models' but fails for `nonrenormalizable models'. After some conceptual discussion and analysis, an enhanced program of renormalization is proposed that is designed to bring the `nonrenormalizable models' under control as well. The new principles are developed by studying several, carefully chosen, soluble examples, and include a recognition of a `hard-core' behavior of the interaction and, in special cases, an extremely elementary procedure to remove the source of all divergences. Our discussion provides the background for a recent proposal for a nontrivial quantization of nonrenormalizable scalar quantum field models, which is briefly summarized as well.

[ { "created": "Sat, 18 Apr 2009 22:24:55 GMT", "version": "v1" } ]

2009-05-01

[ [ "Klauder", "John R.", "" ] ]

As applied to quantum theories, the program of renormalization is successful for `renormalizable models' but fails for `nonrenormalizable models'. After some conceptual discussion and analysis, an enhanced program of renormalization is proposed that is designed to bring the `nonrenormalizable models' under control as well. The new principles are developed by studying several, carefully chosen, soluble examples, and include a recognition of a `hard-core' behavior of the interaction and, in special cases, an extremely elementary procedure to remove the source of all divergences. Our discussion provides the background for a recent proposal for a nontrivial quantization of nonrenormalizable scalar quantum field models, which is briefly summarized as well.

13.458939

12.986905

13.590308

12.409798

12.85886

12.919349

13.462081

12.567245

12.912513

13.734066

12.572571

12.467247

12.206571

12.448781

12.539713

12.081402

12.204952

11.977117

12.52125

13.0185

12.076077

hep-th/0310294

Andrea Quadri

Andrea Quadri (Max-Planck-Institut fuer Physik, Munich)

On a class of embeddings of massive Yang-Mills theory

LATEX, 34 pages. One reference added. Version published in the journal

JHEP 0312 (2003) 018

10.1088/1126-6708/2003/12/018

MPI-Pht-2003-29, MPP-2003-43

hep-th hep-ph

null

A power-counting renormalizable model into which massive Yang-Mills theory is embedded is analyzed. The model is invariant under a nilpotent BRST differential s. The physical observables of the embedding theory, defined by the cohomology classes of s in the Faddeev-Popov neutral sector, are given by local gauge-invariant quantities constructed only from the field strength and its covariant derivatives.

[ { "created": "Fri, 31 Oct 2003 14:06:28 GMT", "version": "v1" }, { "created": "Sat, 1 Nov 2003 11:44:30 GMT", "version": "v2" }, { "created": "Mon, 12 Jan 2004 08:55:22 GMT", "version": "v3" } ]

2016-09-06

[ [ "Quadri", "Andrea", "", "Max-Planck-Institut fuer Physik, Munich" ] ]

A power-counting renormalizable model into which massive Yang-Mills theory is embedded is analyzed. The model is invariant under a nilpotent BRST differential s. The physical observables of the embedding theory, defined by the cohomology classes of s in the Faddeev-Popov neutral sector, are given by local gauge-invariant quantities constructed only from the field strength and its covariant derivatives.

9.565822

7.435412

8.570505

7.958877

8.655169

8.145584

8.788531

7.964838

7.765123

9.330821

7.974412

8.001293

8.076344

7.369778

7.900837

8.151151

7.884204

7.600816

7.960192

7.767364

8.206282

hep-th/0204199

Dr Michael K. Murray

Alan L. Carey (1), Stuart Johnson (2), and Michael K. Murray (2) ((1) Australian National University, (2) The University of Adelaide)

Holonomy on D-Branes

Corrections made and some typographical errors removed

null

hep-th math.DG

null

This paper shows how to construct anomaly free world sheet actions in string theory with $D$-branes. Our method is to use Deligne cohomology and bundle gerbe theory to define geometric objects which are naturally associated to $D$-branes and connections on them. The holonomy of these connections can be used to cancel global anomalies in the world sheet action.

[ { "created": "Wed, 24 Apr 2002 00:41:48 GMT", "version": "v1" }, { "created": "Tue, 16 Jul 2002 12:03:06 GMT", "version": "v2" }, { "created": "Tue, 3 Feb 2004 05:11:25 GMT", "version": "v3" } ]

2007-05-23

[ [ "Carey", "Alan L.", "" ], [ "Johnson", "Stuart", "" ], [ "Murray", "Michael K.", "" ] ]

This paper shows how to construct anomaly free world sheet actions in string theory with $D$-branes. Our method is to use Deligne cohomology and bundle gerbe theory to define geometric objects which are naturally associated to $D$-branes and connections on them. The holonomy of these connections can be used to cancel global anomalies in the world sheet action.

9.185058

7.717263

9.54762

7.84061

8.26486

8.175045

8.508443

7.675001

8.030951

8.723317

8.125764

7.811886

8.434156

7.982304

8.140385

8.424895

8.246635

7.832724

8.078042

8.691368

8.016744

hep-th/0210093

Indrajit Mitra

Steven S. Gubser, Indrajit Mitra (Princeton University)

Double-trace operators and one-loop vacuum energy in AdS/CFT

18 pages, latex, one figure. v2: reference added, typos corrected

Phys.Rev. D67 (2003) 064018

10.1103/PhysRevD.67.064018

PUPT-2051

hep-th

null

We perform a one-loop calculation of the vacuum energy of a tachyon field in anti de-Sitter space with boundary conditions corresponding to the presence of a double-trace operator in the dual field theory. Such an operator can lead to a renormalization group flow between two different conformal field theories related to each other by a Legengre transformation in the large N limit. The calculation of the one-loop vacuum energy enables us to verify the holographic c-theorem one step beyond the classical supergravity approximation.

[ { "created": "Thu, 10 Oct 2002 17:15:02 GMT", "version": "v1" }, { "created": "Sat, 16 Nov 2002 13:52:41 GMT", "version": "v2" } ]

2009-11-07

[ [ "Gubser", "Steven S.", "", "Princeton University" ], [ "Mitra", "Indrajit", "", "Princeton University" ] ]

We perform a one-loop calculation of the vacuum energy of a tachyon field in anti de-Sitter space with boundary conditions corresponding to the presence of a double-trace operator in the dual field theory. Such an operator can lead to a renormalization group flow between two different conformal field theories related to each other by a Legengre transformation in the large N limit. The calculation of the one-loop vacuum energy enables us to verify the holographic c-theorem one step beyond the classical supergravity approximation.

8.277924

7.633144

10.17413

7.723944

7.788242

6.909084

6.934119

7.386469

7.219725

9.235715

7.574464

7.744964

8.727629

8.06771

7.969146

8.058834

8.154088

8.078706

7.935774

8.536734

7.847181

hep-th/0201067

J. A. de Azcarraga

Igor A. Bandos, Jose A. de Azcarraga and Jose M. Izquierdo

On the local symmetries of gravity and supergravity models

12 pages, espcrc2 style, to appear in the Proc. of the Dubna-Wroclaw XVI-th Max Born Symposium

null

FTUV/02-1001, IFIC/02-02

hep-th

null

We present here a detailed analysis of the local symmetries of supergravity in an arbitrary dimension D, both in the component and superfield approaches, using a field-space democracy point of view. As an application, we discuss briefly how a complete description of the local gauge symmetries clarifies the properties of the supergravity-superbrane coupled system in the standard background superfield approximation for supergravity.

[ { "created": "Thu, 10 Jan 2002 15:36:16 GMT", "version": "v1" } ]

2007-05-23

[ [ "Bandos", "Igor A.", "" ], [ "de Azcarraga", "Jose A.", "" ], [ "Izquierdo", "Jose M.", "" ] ]

We present here a detailed analysis of the local symmetries of supergravity in an arbitrary dimension D, both in the component and superfield approaches, using a field-space democracy point of view. As an application, we discuss briefly how a complete description of the local gauge symmetries clarifies the properties of the supergravity-superbrane coupled system in the standard background superfield approximation for supergravity.

16.240393

15.52506

18.473364

14.150882

14.199

15.091445

13.268015

14.510674

14.01766

17.594128

14.890269

14.404897

15.257915

14.400405

14.046824

14.460052

14.265885

14.830623

14.790015

15.584059

14.485293

1410.8858

Anton Rebhan

The Witten-Sakai-Sugimoto model: A brief review and some recent results

Invited lecture to appear in the proceedings of the 3rd International Conference on New Frontiers in Physics, Kolymbari, Crete, 2014. 20 pages, 5 figures, 3 tables; v2: minor corrections, references added

null

hep-th hep-ph nucl-th

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

A brief review of the Witten-Sakai-Sugimoto model is given, which is a top-down holographic model of low-energy QCD with chiral quarks derived from type-IIA superstring theory. The main predictions of the model, in particular concerning meson spectra, the gluon condensate, the QCD string tension, the mass of the $\eta'$ and of baryons are discussed and compared quantitatively with available experimental and/or lattice results. Then some recent results of potential interest to the physics program at the future FAIR facility are presented: The spectrum of glueballs and their decay rates into pions, and the phase diagram of QCD at finite temperature, density, and magnetic field strength.

[ { "created": "Fri, 31 Oct 2014 19:29:23 GMT", "version": "v1" }, { "created": "Fri, 14 Nov 2014 11:25:52 GMT", "version": "v2" } ]

2014-11-17

[ [ "Rebhan", "Anton", "" ] ]

A brief review of the Witten-Sakai-Sugimoto model is given, which is a top-down holographic model of low-energy QCD with chiral quarks derived from type-IIA superstring theory. The main predictions of the model, in particular concerning meson spectra, the gluon condensate, the QCD string tension, the mass of the $\eta'$ and of baryons are discussed and compared quantitatively with available experimental and/or lattice results. Then some recent results of potential interest to the physics program at the future FAIR facility are presented: The spectrum of glueballs and their decay rates into pions, and the phase diagram of QCD at finite temperature, density, and magnetic field strength.

6.458148

6.112826

5.625697

5.593119

6.172869

6.632323

6.147211

5.73743

5.801305

5.594968

6.020247

6.086051

5.570697

5.589957

5.966679

5.876221

5.916564

5.808724

5.518916

5.7246

5.734534

hep-th/0012030

Takashi Yokono

Kazutoshi Ohta and Takashi Yokono

Linear Dilaton Background and Fully Localized Intersecting Five-branes

1+16 pages, latex, no figures, references added

Phys.Rev. D63 (2001) 105011

10.1103/PhysRevD.63.105011

KUNS-1701

hep-th

null

We investigate a near-horizon geometry of NS5-branes wrapping on a Riemann surface, which asymptotically approaches to linear dilaton backgrounds. We concretely find a fully localized solution of the near-horizon geometry of intersecting NS5-branes. We also discuss a relation to a description of Landau-Ginzburg theories.

[ { "created": "Tue, 5 Dec 2000 14:43:26 GMT", "version": "v1" }, { "created": "Tue, 9 Jan 2001 11:37:21 GMT", "version": "v2" } ]

2009-10-31

[ [ "Ohta", "Kazutoshi", "" ], [ "Yokono", "Takashi", "" ] ]

We investigate a near-horizon geometry of NS5-branes wrapping on a Riemann surface, which asymptotically approaches to linear dilaton backgrounds. We concretely find a fully localized solution of the near-horizon geometry of intersecting NS5-branes. We also discuss a relation to a description of Landau-Ginzburg theories.

8.33565

6.033299

9.090826

6.475663

7.375347

6.585121

6.364567

6.480872

6.449532

10.056414

6.747737

7.594477

8.40077

7.385565

7.744791

7.36081

7.278674

7.676057

7.284276

8.789503

7.282717

1803.09275

Sunyoung Shin

Masato Arai, Anastasia Golubtsova, Chanyong Park, Sunyoung Shin

Vacua and walls of mass-deformed K\"ahler nonlinear sigma models on $Sp(N)/U(N)$

34 pages, 17 figures; references added, typos corrected, accepted for publication in PRD

Phys. Rev. D 97, 105012 (2018)

10.1103/PhysRevD.97.105012

YGHP-18-06

hep-th

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

We study vacua and walls of mass-deformed K\"ahler nonlinear sigma models on $Sp(N)/U(N)$. We identify elementary walls with the simple roots of $USp(2N)$ and discuss compressed walls, penetrable walls and multiwalls by using the moduli matrix formalism.

[ { "created": "Sun, 25 Mar 2018 15:29:28 GMT", "version": "v1" }, { "created": "Fri, 20 Apr 2018 17:38:26 GMT", "version": "v2" } ]

2018-05-23

[ [ "Arai", "Masato", "" ], [ "Golubtsova", "Anastasia", "" ], [ "Park", "Chanyong", "" ], [ "Shin", "Sunyoung", "" ] ]

We study vacua and walls of mass-deformed K\"ahler nonlinear sigma models on $Sp(N)/U(N)$. We identify elementary walls with the simple roots of $USp(2N)$ and discuss compressed walls, penetrable walls and multiwalls by using the moduli matrix formalism.

18.451368

11.964941

20.307293

13.256983

13.140231

11.65403

11.690393

13.65258

12.196107

18.032745

14.088869

14.18716

17.391172

14.807012

14.899122

15.00699

13.86604

14.994262

14.97452

18.587763

14.439395

1010.2133

Mehdi Dehghani

Mehdi Dehghani and Ahmad Shirzad

Constraint structure and Hamiltonian treatment of Nappi-Witten model

null

hep-th math-ph math.MP

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

We investigate the Hamiltonian analysis of Nappi-Witten model (WZW action based on non semi simple gauge group) and find a time dependent non-commutativity by canonical quantization. Our procedure is based on constraint analysis of the model in two parts. A first class analysis is used for gauge fixing the original model following by a second class analysis in which the boundary condition are treated as Dirac constraints. We find the reduced phase space by imposing our second class constraints on the variables in an extended Fourier space.

[ { "created": "Mon, 11 Oct 2010 15:22:41 GMT", "version": "v1" } ]

2010-10-12

[ [ "Dehghani", "Mehdi", "" ], [ "Shirzad", "Ahmad", "" ] ]

We investigate the Hamiltonian analysis of Nappi-Witten model (WZW action based on non semi simple gauge group) and find a time dependent non-commutativity by canonical quantization. Our procedure is based on constraint analysis of the model in two parts. A first class analysis is used for gauge fixing the original model following by a second class analysis in which the boundary condition are treated as Dirac constraints. We find the reduced phase space by imposing our second class constraints on the variables in an extended Fourier space.

17.769808

17.068558

18.526922

15.247492

16.791811

17.928915

15.202934

16.823273

16.205524

19.318922

15.432739

16.993071

17.077835

15.741885

15.832435

15.326317

16.114616

16.201317

15.638713

16.914314

15.847986

hep-th/9708049

Vadim Kaplunovsky

Vadim S. Kaplunovsky (University of Texas) and Jan Louis (University of Halle)

Phenomenological Aspects of F-theory

11 pages, phyzzx macros

Phys.Lett. B417 (1998) 45-49

10.1016/S0370-2693(97)01373-7

UTTG-22-97

hep-th hep-ph

null

Stabilizing a heterotic string vacuum with a large expectation value of the dilaton and simultaneously breaking low-energy supersymmetry is a long-standing problem of string phenomenology. We reconsider these issues in light of the recent developments in F-theory.

[ { "created": "Fri, 8 Aug 1997 17:47:03 GMT", "version": "v1" } ]

2009-10-30

[ [ "Kaplunovsky", "Vadim S.", "", "University of Texas" ], [ "Louis", "Jan", "", "University\n of Halle" ] ]

Stabilizing a heterotic string vacuum with a large expectation value of the dilaton and simultaneously breaking low-energy supersymmetry is a long-standing problem of string phenomenology. We reconsider these issues in light of the recent developments in F-theory.

11.949248

9.196422

8.104824

8.122301

8.186244

9.017761

8.591352

8.30322

7.746041

8.999567

7.282318

7.655629

7.704383

7.53904

7.665486

7.577549

8.071545

7.815609

7.747504

7.465142

7.332119

1511.01058

Junyu Liu

Gang Chen, Junyu Liu, Ruofei Xie, Hao Zhang, Yehao Zhou

Syzygies Probing Scattering Amplitudes

33 pages, 10 figures

JHEP 1609 (2016) 075

10.1007/JHEP09(2016)075

null

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

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

We propose a new efficient algorithm to obtain the locally minimal generating set of the syzygies for an ideal, i.e. a generating set whose proper subsets cannot be generating sets. Syzygy is a concept widely used in the current study of scattering amplitudes. This new algorithm can deal with more syzygies effectively because a new generation of syzygies is obtained in each step and the irreducibility of this generation is also verified in the process. This efficient algorithm can also be applied in getting the syzygies for the modules. We also show a typical example to illustrate the potential application of this method in scattering amplitudes, especially the Integral-By-Part(IBP) relations of the characteristic two-loop diagrams in the Yang-Mills theory.

[ { "created": "Tue, 3 Nov 2015 20:04:49 GMT", "version": "v1" }, { "created": "Thu, 3 Dec 2015 04:53:58 GMT", "version": "v2" }, { "created": "Fri, 30 Sep 2016 09:14:44 GMT", "version": "v3" } ]

2016-10-03

[ [ "Chen", "Gang", "" ], [ "Liu", "Junyu", "" ], [ "Xie", "Ruofei", "" ], [ "Zhang", "Hao", "" ], [ "Zhou", "Yehao", "" ] ]

We propose a new efficient algorithm to obtain the locally minimal generating set of the syzygies for an ideal, i.e. a generating set whose proper subsets cannot be generating sets. Syzygy is a concept widely used in the current study of scattering amplitudes. This new algorithm can deal with more syzygies effectively because a new generation of syzygies is obtained in each step and the irreducibility of this generation is also verified in the process. This efficient algorithm can also be applied in getting the syzygies for the modules. We also show a typical example to illustrate the potential application of this method in scattering amplitudes, especially the Integral-By-Part(IBP) relations of the characteristic two-loop diagrams in the Yang-Mills theory.

11.080239

12.685126

11.246426

10.872596

12.623855

12.605457

12.866328

11.898998

10.308769

11.939665

11.035974

11.211342

11.052428

11.460155

11.199023

11.035471

11.565733

11.341607

11.027307

11.117396

11.146972

2009.04454

Yuho Sakatani

Extended Drinfel'd algebras and non-Abelian duality

60 pages

null

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

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

A Drinfel'd algebra gives the systematic construction of generalized parallelizable spaces and this allows us to study an extended T-duality, known as the Poisson-Lie T-duality. Recently, in order to find a generalized U-duality, an extended Drinfel'd algebra (ExDA), called the Exceptional Drinfel'd algebra (EDA) was proposed and a natural extension of the usual U-duality was studied both in the context of supergravity and membrane theory. In this paper, we clarify the general structure of ExDAs and show that an ExDA always gives a generalized parallelizable space, which may be regarded as a group manifold with generalized Nambu-Lie structures. We also discuss generalized Yang-Baxter deformations that are based on coboundary ExDAs. As important examples, we consider the $E_{n(n)}$ EDA for $n\leq 8$ and study various aspects, both in terms of M-theory and type IIB theory.

[ { "created": "Wed, 9 Sep 2020 17:59:55 GMT", "version": "v1" } ]

2020-09-10

[ [ "Sakatani", "Yuho", "" ] ]

A Drinfel'd algebra gives the systematic construction of generalized parallelizable spaces and this allows us to study an extended T-duality, known as the Poisson-Lie T-duality. Recently, in order to find a generalized U-duality, an extended Drinfel'd algebra (ExDA), called the Exceptional Drinfel'd algebra (EDA) was proposed and a natural extension of the usual U-duality was studied both in the context of supergravity and membrane theory. In this paper, we clarify the general structure of ExDAs and show that an ExDA always gives a generalized parallelizable space, which may be regarded as a group manifold with generalized Nambu-Lie structures. We also discuss generalized Yang-Baxter deformations that are based on coboundary ExDAs. As important examples, we consider the $E_{n(n)}$ EDA for $n\leq 8$ and study various aspects, both in terms of M-theory and type IIB theory.

7.913376

6.982328

9.251343

6.97469

7.645234

7.268767

7.359671

7.016898

7.094931

9.379425

6.91448

7.293659

8.046337

7.126459

7.418296

7.359894

7.211687

7.421401

7.32015

7.93907

7.175488

2305.01878

Deyou Chen

Zeqiang Wang and Deyou Chen

Spatial regions, chaos bound and its violation

16 pages, 10 figures

Nuclear Physics B 991 (2023) 116212

10.1016/j.nuclphysb.2023.116212

null

hep-th gr-qc

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

The influence of the angular momentum of the particle on the Lyapunov exponent has been studied. In this paper, we investigate influences of the charge and angular momentum of a particle around non-extremal and extremal Reissner-Nordstr\"om black holes with a scalar hair on the exponent, and find spatial regions where the chaos bound is violated for certain values of the black holes' parameters. The exponent is gotten by calculating the eigenvalue of a Jacobian matrix in a phase space. The violation occurs from the nea-horizon regions to certain distances from the event horizons. When the charge or angular momentum of the particle are fixed at certain values, the spatial regions increase with the increase of the hair parameter's value when the black hole's charge is fixed, and with the increase of the black hole's charge when the hair parameter is fixed. For the extremal black hole, the violation can occur very close to the horizon when the particle's charge is large enough.

[ { "created": "Wed, 3 May 2023 03:44:21 GMT", "version": "v1" } ]

2023-05-17

[ [ "Wang", "Zeqiang", "" ], [ "Chen", "Deyou", "" ] ]

The influence of the angular momentum of the particle on the Lyapunov exponent has been studied. In this paper, we investigate influences of the charge and angular momentum of a particle around non-extremal and extremal Reissner-Nordstr\"om black holes with a scalar hair on the exponent, and find spatial regions where the chaos bound is violated for certain values of the black holes' parameters. The exponent is gotten by calculating the eigenvalue of a Jacobian matrix in a phase space. The violation occurs from the nea-horizon regions to certain distances from the event horizons. When the charge or angular momentum of the particle are fixed at certain values, the spatial regions increase with the increase of the hair parameter's value when the black hole's charge is fixed, and with the increase of the black hole's charge when the hair parameter is fixed. For the extremal black hole, the violation can occur very close to the horizon when the particle's charge is large enough.

7.279747

7.619607

6.388813

6.250513

7.068639

7.06427

7.236148

6.538547

6.956447

7.278132

6.81029

6.794594

6.871144

6.635878

6.819373

6.767849

6.893228

6.553415

6.819604

6.682452

6.782849

hep-th/0701239

Leonardo Modesto

Loop quantum gravity and black hole singularity

17 pages, 7 figures, LaTex. Proceedings of the XVII SIGRAV Conference, Turin, September 4-7, 2006

null

hep-th gr-qc

null

In this paper we summarize "loop quantum gravity" (LQG) and we show how ideas developed in LQG can solve the black hole singularity problem when applied to a minisuperspace model.

[ { "created": "Thu, 25 Jan 2007 15:25:26 GMT", "version": "v1" } ]

2007-05-23

[ [ "Modesto", "Leonardo", "" ] ]

In this paper we summarize "loop quantum gravity" (LQG) and we show how ideas developed in LQG can solve the black hole singularity problem when applied to a minisuperspace model.

8.455377

6.98525

6.534869

6.268939

6.660975

6.206333

7.222631

5.819963

6.680336

6.321825

7.428801

7.66027

7.294893

6.908455

7.339542

7.020341

7.636317

6.45959

7.436763

7.25593

7.268901

1706.06382

Michael Thies

Beyond integrability: Baryon-baryon backward scattering in the massive Gross-Neveu model

14 pages, 18 figures

Phys. Rev. D 96, 076012 (2017)

10.1103/PhysRevD.96.076012

null

hep-th hep-ph nlin.SI nucl-th

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

Due to integrability, baryon-baryon scattering in the massless Gross-Neveu model at large N features only forward elastic scattering. A bare mass term breaks integrability and is therefore expected to induce backward elastic scattering as well as inelastic reactions. We confirm these expectations by a study of baryon-baryon scattering in the massive Gross-Neveu model near the non-relativistic limit. This restriction enables us to solve the time-dependent Hartree-Fock equations with controlled approximations, using a combination of analytical methods from an effective field theory and the numerical solution of partial differential equations.

[ { "created": "Tue, 20 Jun 2017 12:17:26 GMT", "version": "v1" } ]

2017-11-01

[ [ "Thies", "Michael", "" ] ]

Due to integrability, baryon-baryon scattering in the massless Gross-Neveu model at large N features only forward elastic scattering. A bare mass term breaks integrability and is therefore expected to induce backward elastic scattering as well as inelastic reactions. We confirm these expectations by a study of baryon-baryon scattering in the massive Gross-Neveu model near the non-relativistic limit. This restriction enables us to solve the time-dependent Hartree-Fock equations with controlled approximations, using a combination of analytical methods from an effective field theory and the numerical solution of partial differential equations.

8.051394

7.236253

8.10619

7.437749

8.03394

7.009064

7.288611

7.501998

7.047324

7.704515

7.246154

7.531994

7.678233

7.600458

7.820805

7.451012

7.580862

7.353001

7.36116

7.792087

7.325672

1204.1055

Vitaly Vanchurin

Dynamical systems of eternal inflation: A possible solution to the problems of entropy, measure, observables and initial conditions

21 pages, replaced to match version accepted by PRD

Phys.Rev. D86 (2012) 043502

10.1103/PhysRevD.86.043502

SU-ITP-12/12

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

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

There are two main approaches to non-equlibrium statistical mechanics: one using stochastic processes and the other using dynamical systems. To model the dynamics during inflation one usually adopts a stochastic description, which is known to suffer from serious conceptual problems. To overcome the problems and/or to gain more insight, we develop a dynamical systems approach. A key assumption that goes into analysis is the chaotic hypothesis, which is a natural generalization of the ergodic hypothesis to non-Hamiltonian systems. The unfamiliar feature for gravitational systems is that the local phase space trajectories can either reproduce or escape due to the presence of cosmological and black hole horizons. We argue that the effect of horizons can be studied using dynamical systems and apply the so-called thermodynamic formalism to derive the equilibrium (or Sinai-Ruelle-Bowen) measure given by a variational principle. We show that the only physical measure is not the Liouville measure (i.e. no entropy problem), but the equilibrium measure (i.e. no measure problem) defined over local trajectories (i.e. no problem of observables) and supported on only infinite trajectories (i.e. no problem of initial conditions). Phenomenological aspects of the fluctuation theorem are discussed.

[ { "created": "Wed, 4 Apr 2012 20:00:02 GMT", "version": "v1" }, { "created": "Sun, 8 Apr 2012 19:26:52 GMT", "version": "v2" }, { "created": "Wed, 25 Jul 2012 08:59:54 GMT", "version": "v3" } ]

2016-03-29

[ [ "Vanchurin", "Vitaly", "" ] ]

There are two main approaches to non-equlibrium statistical mechanics: one using stochastic processes and the other using dynamical systems. To model the dynamics during inflation one usually adopts a stochastic description, which is known to suffer from serious conceptual problems. To overcome the problems and/or to gain more insight, we develop a dynamical systems approach. A key assumption that goes into analysis is the chaotic hypothesis, which is a natural generalization of the ergodic hypothesis to non-Hamiltonian systems. The unfamiliar feature for gravitational systems is that the local phase space trajectories can either reproduce or escape due to the presence of cosmological and black hole horizons. We argue that the effect of horizons can be studied using dynamical systems and apply the so-called thermodynamic formalism to derive the equilibrium (or Sinai-Ruelle-Bowen) measure given by a variational principle. We show that the only physical measure is not the Liouville measure (i.e. no entropy problem), but the equilibrium measure (i.e. no measure problem) defined over local trajectories (i.e. no problem of observables) and supported on only infinite trajectories (i.e. no problem of initial conditions). Phenomenological aspects of the fluctuation theorem are discussed.

10.024453

11.130249

10.312058

10.488794

11.482721

11.05922

10.613958

10.809705

10.793329

10.585591

10.376885

9.720261

9.721572

9.760377

9.860724

10.020674

10.255133

9.617743

10.062037

10.266408

10.049654

0708.3428

Reza Moazzemi

Reza Moazzemi, Siamak S. Gousheh

A new renormalization approach to the Dirichlet Casimir effect for \phi^4 theory in (1+1) dimensions

revtex4, 11 pages, 2 figures, to appear in Phys. Lett. B

Phys. Lett. B658:255-265, 2008

10.1016/j.physletb.2007.08.098

null

hep-th

null

The next to the leading order Casimir effect for a real scalar field, within $\phi^4$ theory, confined between two parallel plates is calculated in one spatial dimension. Here we use the Green's function with the Dirichlet boundary condition on both walls. In this paper we introduce a systematic perturbation expansion in which the counterterms automatically turn out to be consistent with the boundary conditions. This will inevitably lead to nontrivial position dependence for physical quantities, as a manifestation of the breaking of the translational invariance. This is in contrast to the usual usage of the counterterms, in problems with nontrivial boundary conditions, which are either completely derived from the free cases or at most supplemented with the addition of counterterms only at the boundaries. We obtain \emph{finite} results for the massive and massless cases, in sharp contrast to some of the other reported results. Secondly, and probably less importantly, we use a supplementary renormalization procedure in addition to the usual regularization and renormalization programs, which makes the usage of any analytic continuation techniques unnecessary.

[ { "created": "Sat, 25 Aug 2007 10:25:49 GMT", "version": "v1" }, { "created": "Tue, 18 Sep 2007 08:21:31 GMT", "version": "v2" } ]

2009-06-10

[ [ "Moazzemi", "Reza", "" ], [ "Gousheh", "Siamak S.", "" ] ]

The next to the leading order Casimir effect for a real scalar field, within $\phi^4$ theory, confined between two parallel plates is calculated in one spatial dimension. Here we use the Green's function with the Dirichlet boundary condition on both walls. In this paper we introduce a systematic perturbation expansion in which the counterterms automatically turn out to be consistent with the boundary conditions. This will inevitably lead to nontrivial position dependence for physical quantities, as a manifestation of the breaking of the translational invariance. This is in contrast to the usual usage of the counterterms, in problems with nontrivial boundary conditions, which are either completely derived from the free cases or at most supplemented with the addition of counterterms only at the boundaries. We obtain \emph{finite} results for the massive and massless cases, in sharp contrast to some of the other reported results. Secondly, and probably less importantly, we use a supplementary renormalization procedure in addition to the usual regularization and renormalization programs, which makes the usage of any analytic continuation techniques unnecessary.

11.822555

9.345053

11.714438

9.75905

9.521723

9.017916

8.444476

10.124317

10.116642

12.188741

10.314722

10.768756

11.427038

11.119677

10.829797

10.63795

10.720135

11.033422

11.005211

11.656981

10.93784

hep-th/9604190

Sergey Korenblit

A.V.Sinitskaya, E.V.Pavlova

Bound states in nonrelativistic four-fermion interaction model

9 pages

null

ISU-IAP.Th96-02, Irkutsk

hep-th

null

The bound states of two particles are studied in frames of non-relativistic quantum field model with current $\times$ current type interaction by analyzing the Bethe-Salpeter amplitudes. The Bethe-Salpeter equations are obtained in closed form. The existence of Goldstone mode corresponding to the spontaneous breaking of additional SU(2) symmetry of the model is revealed.

[ { "created": "Tue, 30 Apr 1996 09:53:25 GMT", "version": "v1" } ]

2007-05-23

[ [ "Sinitskaya", "A. V.", "" ], [ "Pavlova", "E. V.", "" ] ]

The bound states of two particles are studied in frames of non-relativistic quantum field model with current $\times$ current type interaction by analyzing the Bethe-Salpeter amplitudes. The Bethe-Salpeter equations are obtained in closed form. The existence of Goldstone mode corresponding to the spontaneous breaking of additional SU(2) symmetry of the model is revealed.

9.501771

9.682867

8.785538

7.854004

9.98393

9.954639

8.794423

9.359363

8.038233

8.579662

8.069233

8.893553

8.700445

8.48986

8.645321

8.746575

8.712605

8.643987

8.218018

8.456932

8.597048

hep-th/0212079

Shigenori Seki

Shigenori Seki (Kobe Univ.)

Comments on Quiver Gauge Theories and Matrix Models

19 pages, 4 figures, harvmac+epsf; typos corrected, figures improved and refs. added

Nucl.Phys. B661 (2003) 257-272

10.1016/S0550-3213(03)00296-7

KOBE-TH-02-04

hep-th

null

Dijkgraaf and Vafa have conjectured the correspondences between topological string theories, ${\cal N}=1$ gauge theories and matrix models. By the use of this conjecture, we calculate the quantum deformations of Calabi-Yau threefolds with ADE singularities from ADE multi-matrix models. We obtain the effective superpotentials of the dual quiver gauge theories in terms of the geometric engineering for the deformed geometries. We find the Veneziano-Yankielowicz terms in the effective superpotentials.

[ { "created": "Fri, 6 Dec 2002 17:49:59 GMT", "version": "v1" }, { "created": "Mon, 16 Dec 2002 06:12:13 GMT", "version": "v2" } ]

2010-04-05

[ [ "Seki", "Shigenori", "", "Kobe Univ." ] ]

Dijkgraaf and Vafa have conjectured the correspondences between topological string theories, ${\cal N}=1$ gauge theories and matrix models. By the use of this conjecture, we calculate the quantum deformations of Calabi-Yau threefolds with ADE singularities from ADE multi-matrix models. We obtain the effective superpotentials of the dual quiver gauge theories in terms of the geometric engineering for the deformed geometries. We find the Veneziano-Yankielowicz terms in the effective superpotentials.

6.183288

5.973287

7.517213

5.680065

5.598244

5.787515

5.550447

5.597893

5.755004

6.727211

5.612121

5.446227

5.9005

5.462678

5.422233

5.528617

5.446459

5.462801

5.60996

5.927252

5.52546

1611.03208

Michael Thies

SU(N) affine Toda solitons and breathers from transparent Dirac potentials

10 pages, 1 figure; v2: several improvements, matches version accepted for publication by JPhysA

null

10.1088/1751-8121/aa6b6f

null

hep-th cond-mat.supr-con nlin.SI

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

Transparent scalar and pseudoscalar potentials in the one-dimensional Dirac equation play an important role as self-consistent mean fields in 1+1 dimensional four-fermion theories (Gross-Neveu, Nambu-Jona Lasinio models) and quasi-one dimensional superconductors (Bogoliubov-De Gennes equation). Here, we show that they also serve as seed to generate a large class of classical multi-soliton and multi-breather solutions of su(N) affine Toda field theories, including the Lax representation and the corresponding vector. This generalizes previous findings about the relationship between real kinks in the Gross-Neveu model and classical solitons of the sinh-Gordon equation to complex twisted kinks.

[ { "created": "Thu, 10 Nov 2016 07:47:18 GMT", "version": "v1" }, { "created": "Tue, 4 Apr 2017 14:29:31 GMT", "version": "v2" } ]

2017-05-24

[ [ "Thies", "Michael", "" ] ]

Transparent scalar and pseudoscalar potentials in the one-dimensional Dirac equation play an important role as self-consistent mean fields in 1+1 dimensional four-fermion theories (Gross-Neveu, Nambu-Jona Lasinio models) and quasi-one dimensional superconductors (Bogoliubov-De Gennes equation). Here, we show that they also serve as seed to generate a large class of classical multi-soliton and multi-breather solutions of su(N) affine Toda field theories, including the Lax representation and the corresponding vector. This generalizes previous findings about the relationship between real kinks in the Gross-Neveu model and classical solitons of the sinh-Gordon equation to complex twisted kinks.

9.17409

10.014206

9.243544

8.50296

9.684984

8.81347

8.844103

8.940407

8.015743

9.525365

8.710938

8.335152

8.536037

8.46067

8.56694

8.510737

8.393244

8.268286

8.191113

8.399428

8.473289

0711.3430

Azat Gainutdinov

A. M. Gainutdinov, I. Yu. Tipunin

Radford, Drinfeld, and Cardy boundary states in (1,p) logarithmic conformal field models

32 pages; minor changes, corrected typos

J.Phys.A42:315207,2009

10.1088/1751-8113/42/31/315207

null

hep-th math.QA

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

We introduce p-1 pseudocharacters in the space of (1,p) model vacuum torus amplitudes to complete the distinguished basis in the 2p-dimensional fusion algebra to a basis in the whole (3p-1)-dimensional space of torus amplitudes, and the structure constants in this basis are integer numbers. We obtain a generalized Verlinde-formula that gives these structure constants. In the context of theories with boundaries, we identify the space of vacuum torus amplitudes with the space of Ishibashi states. Then, we propose 3p-1 boundary states satisfying the Cardy condition.

[ { "created": "Wed, 21 Nov 2007 18:50:51 GMT", "version": "v1" }, { "created": "Mon, 16 Feb 2009 22:32:59 GMT", "version": "v2" } ]

2009-07-22

[ [ "Gainutdinov", "A. M.", "" ], [ "Tipunin", "I. Yu.", "" ] ]

We introduce p-1 pseudocharacters in the space of (1,p) model vacuum torus amplitudes to complete the distinguished basis in the 2p-dimensional fusion algebra to a basis in the whole (3p-1)-dimensional space of torus amplitudes, and the structure constants in this basis are integer numbers. We obtain a generalized Verlinde-formula that gives these structure constants. In the context of theories with boundaries, we identify the space of vacuum torus amplitudes with the space of Ishibashi states. Then, we propose 3p-1 boundary states satisfying the Cardy condition.

14.274501

10.069983

13.657659

10.391955

10.931539

10.992809

10.396169

11.670794

11.550382

15.735578

11.553266

10.803493

13.156335

11.336738

11.511242

10.85083

11.134231

10.986398

11.544245

13.115227

11.870064

1202.1269

Daniel Zwanziger

Exact bounds on the free energy in QCD

7 pages, International Workshop on QCD Green's Functions, Confinement and Phenomenology, September 05-09, 2011, Trento Italy

null

hep-th hep-ph

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

We consider the free energy $W[J] = W_k(H)$ of QCD coupled to an external source $J_\mu^b(x) = H_\mu^b \cos(k \cdot x)$, where $H_\mu^b$ is, by analogy with spin models, an external "magnetic" field with a color index that is modulated by a plane wave. We report an optimal bound on $W_k(H)$ and an exact asymptotic expression for $W_k(H)$ at large $H$. They imply confinement of color in the sense that the free energy per unit volume $W_k(H)/V$ and the average magnetization $m(k, H) ={1 \over V} {\p W_k(H) \over \p H}$ vanish in the limit of constant external field $k \to 0$. Recent lattice data indicate a gluon propagator $D(k)$ which is non-zero, $D(0) \neq 0$, at $k = 0$. This would imply a non-analyticity in $W_k(H)$ at $k = 0$. We also give some general properties of the free energy $W(J)$ for arbitrary $J(x)$. Finally we present a model that is consistent with the new results and exhibits (non)-analytic behavior. Direct numerical tests of the bounds are proposed.

[ { "created": "Mon, 6 Feb 2012 20:42:33 GMT", "version": "v1" } ]

2012-02-07

[ [ "Zwanziger", "Daniel", "" ] ]

We consider the free energy $W[J] = W_k(H)$ of QCD coupled to an external source $J_\mu^b(x) = H_\mu^b \cos(k \cdot x)$, where $H_\mu^b$ is, by analogy with spin models, an external "magnetic" field with a color index that is modulated by a plane wave. We report an optimal bound on $W_k(H)$ and an exact asymptotic expression for $W_k(H)$ at large $H$. They imply confinement of color in the sense that the free energy per unit volume $W_k(H)/V$ and the average magnetization $m(k, H) ={1 \over V} {\p W_k(H) \over \p H}$ vanish in the limit of constant external field $k \to 0$. Recent lattice data indicate a gluon propagator $D(k)$ which is non-zero, $D(0) \neq 0$, at $k = 0$. This would imply a non-analyticity in $W_k(H)$ at $k = 0$. We also give some general properties of the free energy $W(J)$ for arbitrary $J(x)$. Finally we present a model that is consistent with the new results and exhibits (non)-analytic behavior. Direct numerical tests of the bounds are proposed.

7.381215

8.287087

7.213827

7.090607

7.973844

8.438009

7.708428

7.502118

7.377249

8.035628

7.341269

7.090276

7.153326

7.15893

7.169969

7.059853

7.153895

7.083498

7.005833

7.128176

6.997048

hep-th/9705061

Sayan Kar

Sukanta Bose and Sayan Kar

Exact solutions in two-dimensional string cosmology with back reaction

Shortened slightly, references added, to appear in Physical Review D (Rapid Communications). 16 pages, RevTex, 3 PostScript figures

Phys.Rev.D56:4444-4448,1997

10.1103/PhysRevD.56.R4444

IUCAA--97/35

hep-th gr-qc

null

We present analytic cosmological solutions in a model of two-dimensional dilaton gravity with back reaction. One of these solutions exhibits a graceful exit from the inflationary to the FRW phase and is nonsingular everywhere. A duality related second solution is found to exist only in the ``pre-big-bang'' epoch and is singular at $\tau = 0$. In either case back reaction is shown to play a crucial role in determining the specific nature of these geometries.

[ { "created": "Sat, 10 May 1997 05:58:42 GMT", "version": "v1" }, { "created": "Thu, 4 Sep 1997 13:59:23 GMT", "version": "v2" } ]

2009-12-30

[ [ "Bose", "Sukanta", "" ], [ "Kar", "Sayan", "" ] ]

We present analytic cosmological solutions in a model of two-dimensional dilaton gravity with back reaction. One of these solutions exhibits a graceful exit from the inflationary to the FRW phase and is nonsingular everywhere. A duality related second solution is found to exist only in the ``pre-big-bang'' epoch and is singular at $\tau = 0$. In either case back reaction is shown to play a crucial role in determining the specific nature of these geometries.

10.951316

8.973471

10.008935

9.020281

9.467395

9.561356

9.662071

9.181668

8.969939

10.898495

9.593422

9.66361

10.244332

9.64068

9.853301

9.99855

10.381901

10.036923

10.105909

10.3073

10.150382

1204.3008

Norihiro Iizuka

Norihiro Iizuka, Kengo Maeda

Study of Anisotropic Black Branes in Asymptotically anti-de Sitter

31 pages, 12 figures

null

10.1007/JHEP07(2012)129

null

hep-th

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

We investigate the four dimensional gravitational theories which admit homogeneous but anisotropic black brane solutions in asymptotically AdS space-time. The gravitational theories we consider are 1) Einstein-Maxwell-dilaton theory, and 2) Einstein-Maxwell-dilaton-axion theory with SL(2,R) symmetry. We obtain the solutions both analytically and numerically. Analytical solutions are obtained by perturbation from the isotropic solutions. Our solutions approach singular behavior at the horizon in the extremal limit but in non-extremal case, they are smooth everywhere. We also discuss how the third law of thermodynamics holds in our set-up.

[ { "created": "Fri, 13 Apr 2012 14:25:53 GMT", "version": "v1" } ]

2017-08-23

[ [ "Iizuka", "Norihiro", "" ], [ "Maeda", "Kengo", "" ] ]

We investigate the four dimensional gravitational theories which admit homogeneous but anisotropic black brane solutions in asymptotically AdS space-time. The gravitational theories we consider are 1) Einstein-Maxwell-dilaton theory, and 2) Einstein-Maxwell-dilaton-axion theory with SL(2,R) symmetry. We obtain the solutions both analytically and numerically. Analytical solutions are obtained by perturbation from the isotropic solutions. Our solutions approach singular behavior at the horizon in the extremal limit but in non-extremal case, they are smooth everywhere. We also discuss how the third law of thermodynamics holds in our set-up.

6.16945

5.71749

5.99667

5.363959

5.321522

5.717525

5.755672

5.546871

5.906126

6.387206

5.481623

5.880052

6.219124

5.785113

5.76167

5.654753

5.683745

5.753743

5.780663

5.99407

5.495433

hep-th/9302072

M. B. Paranjape

M. B. Paranjape and Robin Ross

Instantons and the Ground State of the Massive Schwinger Model

17 pages, plain tex

Phys.Rev. D48 (1993) 3891-3900

10.1103/PhysRevD.48.3891

UdeM-LPN-TH-93-136

hep-th

null

We study the massive Schwinger model, quantum electrodynamics of massive, Dirac fermions, in 1+1 dimensions; with space compactified to a circle. In the limit that transitions to fermion--anti-fermion pairs can be neglected, we study the full ground state. We focus on the effect of instantons which mediate tunnelling transitions in the induced potential for the dynamical degree of freedom in the gauge field.

[ { "created": "Tue, 16 Feb 1993 15:09:48 GMT", "version": "v1" } ]

2009-10-22

[ [ "Paranjape", "M. B.", "" ], [ "Ross", "Robin", "" ] ]

We study the massive Schwinger model, quantum electrodynamics of massive, Dirac fermions, in 1+1 dimensions; with space compactified to a circle. In the limit that transitions to fermion--anti-fermion pairs can be neglected, we study the full ground state. We focus on the effect of instantons which mediate tunnelling transitions in the induced potential for the dynamical degree of freedom in the gauge field.

11.635692

9.967012

12.025821

10.274849

10.873889

11.835003

10.320997

10.553512

10.254006

11.952058

10.697896

10.681198

11.576823

10.632042

10.978605

10.617631

10.526689

10.939523

10.578383

11.375703

10.674088

hep-th/0002097

Ori Ganor

Chang S. Chan, Ori J. Ganor and Morten Krogh

Chiral Compactifications of 6D Conformal Theories

23pp LaTeX

Nucl.Phys. B597 (2001) 228-244

10.1016/S0550-3213(00)00706-9

PUPT-1896, NSF-ITP-99-147

hep-th

null

We construct chiral N=1 gauge theories in 4D by compactifying the 6D Blum-Intriligator (1,0) theories of 5-branes at $A_k$ singularities on $T^2$ with a nontrivial bundle of the global U(1) symmetry of these theories.

[ { "created": "Fri, 11 Feb 2000 19:33:11 GMT", "version": "v1" } ]

2009-10-31

[ [ "Chan", "Chang S.", "" ], [ "Ganor", "Ori J.", "" ], [ "Krogh", "Morten", "" ] ]

We construct chiral N=1 gauge theories in 4D by compactifying the 6D Blum-Intriligator (1,0) theories of 5-branes at $A_k$ singularities on $T^2$ with a nontrivial bundle of the global U(1) symmetry of these theories.

9.696127

8.838422

13.737048

7.988033

8.340744

8.553378

9.293359

7.779249

7.65983

14.648349

8.419758

8.262995

10.431903

8.088402

8.407666

8.602213

8.292622

8.512569

8.403503

9.885325

7.976416

1003.0234

Tamaz Brelidze

T. Brelidze, B. Ovrut

B-L Cosmic Strings in Heterotic Standard Models

41 pages, 5 figures

JHEP 1007:077,2010

10.1007/JHEP07(2010)077

null

hep-th hep-ph

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

E_{8} X E_{8} heterotic string and M-theory, when compactified on smooth Calabi-Yau manifolds with SU(4) vector bundles, can give rise to softly broken N=1 supersymmetric theories with the exact matter spectrum of the MSSM, including three right-handed neutrinos and one Higgs-Higgs conjugate pair of supermultiplets. These vacua have the SU(3)_{C} X SU(2)_{L} X U(1)_{Y} gauge group of the standard model augmented by an additional gauged U(1)_{B-L}. Their minimal content requires that the B-L symmetry be spontaneously broken by a vacuum expectation value of at least one right-handed sneutrino. The soft supersymmetry breaking operators can induce radiative breaking of the B-L gauge symmetry with an acceptable B-L/electroweak hierarchy. In this paper, it is shown that U(1)_{B-L} cosmic strings occur in this context, potentially with both bosonic and fermionic superconductivity. We present a numerical analysis that demonstrates that boson condensates can, in principle, form for theories of this type. However, the weak Yukawa and gauge couplings of the right-handed sneutrino suggests that bosonic superconductivity will not occur in the simplest vacua in this context. The electroweak phase transition also disallows fermion superconductivity, although substantial bound state fermion currents can exist.

[ { "created": "Mon, 1 Mar 2010 01:11:51 GMT", "version": "v1" } ]

2014-11-20

[ [ "Brelidze", "T.", "" ], [ "Ovrut", "B.", "" ] ]

E_{8} X E_{8} heterotic string and M-theory, when compactified on smooth Calabi-Yau manifolds with SU(4) vector bundles, can give rise to softly broken N=1 supersymmetric theories with the exact matter spectrum of the MSSM, including three right-handed neutrinos and one Higgs-Higgs conjugate pair of supermultiplets. These vacua have the SU(3)_{C} X SU(2)_{L} X U(1)_{Y} gauge group of the standard model augmented by an additional gauged U(1)_{B-L}. Their minimal content requires that the B-L symmetry be spontaneously broken by a vacuum expectation value of at least one right-handed sneutrino. The soft supersymmetry breaking operators can induce radiative breaking of the B-L gauge symmetry with an acceptable B-L/electroweak hierarchy. In this paper, it is shown that U(1)_{B-L} cosmic strings occur in this context, potentially with both bosonic and fermionic superconductivity. We present a numerical analysis that demonstrates that boson condensates can, in principle, form for theories of this type. However, the weak Yukawa and gauge couplings of the right-handed sneutrino suggests that bosonic superconductivity will not occur in the simplest vacua in this context. The electroweak phase transition also disallows fermion superconductivity, although substantial bound state fermion currents can exist.

7.25668

5.571694

7.14225

5.936858

5.684713

5.663514

5.529109

5.683486

5.792397

7.660948

5.906937

6.339658

6.534803

6.30878

6.157257

6.205813

6.076601

6.205331

6.394136

6.535153

6.502952

1107.5318

Keun-young Kim

Nick Evans, Keun-Young Kim, and Maria Magou

Holographic Wilsonian Renormalization and Chiral Phase Transitions

14 pages, 16 figures, v2: Added references, corrected typos, v3: minor corrections, the version to appear in PRD

null

10.1103/PhysRevD.84.126016

null

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

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

We explore the role of a holographic Wilsonian cut-off in simple probe brane models with chiral symmetry breaking/restoration phase transitions. The Wilsonian cut-off allows us to define supergravity solutions for off-shell configurations and hence to define a potential for the chiral condensate. We pay particular attention to the need for configurations whose action we are comparing to have the same IR and UV boundary conditions. We exhibit new first and second order phase transitions with changing cut-off. We derive the effective potential for the condensate including mean field and BKT type continuous transitions.

[ { "created": "Tue, 26 Jul 2011 20:01:09 GMT", "version": "v1" }, { "created": "Tue, 9 Aug 2011 12:21:24 GMT", "version": "v2" }, { "created": "Thu, 15 Dec 2011 10:38:10 GMT", "version": "v3" } ]

2013-05-29

[ [ "Evans", "Nick", "" ], [ "Kim", "Keun-Young", "" ], [ "Magou", "Maria", "" ] ]

We explore the role of a holographic Wilsonian cut-off in simple probe brane models with chiral symmetry breaking/restoration phase transitions. The Wilsonian cut-off allows us to define supergravity solutions for off-shell configurations and hence to define a potential for the chiral condensate. We pay particular attention to the need for configurations whose action we are comparing to have the same IR and UV boundary conditions. We exhibit new first and second order phase transitions with changing cut-off. We derive the effective potential for the condensate including mean field and BKT type continuous transitions.

14.861725

16.425394

14.976724

13.956476

15.240452

15.751188

15.553238

15.374469

16.025192

17.382305

13.768914

14.692132

16.010265

14.321617

14.630357

14.827345

14.948477

14.420976

14.695124

15.93225

13.875889

hep-th/9912138

Andelka Andrasi

A. Andrasi

Renormalization of Wilson Operators in the Light-Cone Gauge

plain tex, 18 pages, 20 figures, revised

Eur.Phys.J.C18:601-612,2001

10.1007/s100520100556

IRB-TH-9/99

hep-th

null

We test the renormalization of Wilson operators and the Mandelstam- Leibbrandt gauge in the case when the sides of the loop are parallel to the n, n* vectors used in the M-L gauge. Graphs which in the Feynman gauge are free of ultra-violet divergences, in the M-L gauge show double divergences and single divergences with non-local Si and Ci functions. These non-local functions cancel out when we add all graphs together and the constraints of gauge invariance are satisfied. In Appendix C we briefly discuss the problems of the M-L gauge for loops containing spacelike lines.

[ { "created": "Thu, 16 Dec 1999 11:25:40 GMT", "version": "v1" }, { "created": "Tue, 13 Mar 2001 09:33:19 GMT", "version": "v2" } ]

2009-01-07

[ [ "Andrasi", "A.", "" ] ]

We test the renormalization of Wilson operators and the Mandelstam- Leibbrandt gauge in the case when the sides of the loop are parallel to the n, n* vectors used in the M-L gauge. Graphs which in the Feynman gauge are free of ultra-violet divergences, in the M-L gauge show double divergences and single divergences with non-local Si and Ci functions. These non-local functions cancel out when we add all graphs together and the constraints of gauge invariance are satisfied. In Appendix C we briefly discuss the problems of the M-L gauge for loops containing spacelike lines.

13.685777

16.038752

13.910244

12.752272

13.005657

15.601363

14.497137

13.130244

13.569425

17.597612

13.874824

12.93313

13.022005

13.261636

13.741798

13.32664

13.543681

13.921038

13.173714

13.978696

13.230677

1207.6627

Fabrizio Pucci Dr.

Fabrizio Pucci

More on 't Hooft loops in N=4 SYM

30 pages

JHEP 1211 (2012) 161

10.1007/JHEP11(2012)161

BI-TP 2012/34

hep-th

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

We study supersymmetric 't Hooft loop operators in N=4 super Yang-Mills, generalizing the well-known circular 1/2 BPS case and investigating their S-duality properties. We derive the BPS condition for a generic line operator describing pointlike monopoles and discuss its solutions in some particular case. In particular, we present the explicit construction of the magnetic counterpart of Zarembo and DGRT Wilson loops and provide the general dyonic configurations for an abelian gauge group. The quantum definition of these supersymmetric 't Hooft loop operators is carefully discussed and we attempt some computations to next-to-leading order in perturbation theory.

[ { "created": "Fri, 27 Jul 2012 19:41:23 GMT", "version": "v1" } ]

2013-07-30

[ [ "Pucci", "Fabrizio", "" ] ]

We study supersymmetric 't Hooft loop operators in N=4 super Yang-Mills, generalizing the well-known circular 1/2 BPS case and investigating their S-duality properties. We derive the BPS condition for a generic line operator describing pointlike monopoles and discuss its solutions in some particular case. In particular, we present the explicit construction of the magnetic counterpart of Zarembo and DGRT Wilson loops and provide the general dyonic configurations for an abelian gauge group. The quantum definition of these supersymmetric 't Hooft loop operators is carefully discussed and we attempt some computations to next-to-leading order in perturbation theory.

12.399913

11.177071

14.306151

11.237417

11.66395

10.022138

10.791298

11.288825

10.557547

14.732316

11.841711

11.823747

12.633012

11.588671

11.73407

11.599725

11.783066

11.91182

11.714524

12.339117

11.500586

1911.03819

Mahdis Ghodrati

Complexity and Emergence of Warped $\text{AdS}_3$ Space-time from Chiral Liouville Action

62 pages, 9 figures, v2: references added

JHEP 2002 (2020) 052

10.1007/JHEP02(2020)052

null

hep-th gr-qc

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

In this work we explore the complexity path integral optimization process for the case of warped $\text{AdS}_3$/warped $\text{CFT}_2$ correspondence. We first present the specific renormalization flow equations and analyze the differences with the case of CFT. We discuss how the "chiral Liouville action" could replace the Liouville action as the suitable cost function for this case. Starting from the other side of the story, we also show how the deformed Liouville actions could be derived from the spacelike, timelike and null warped metrics and how the behaviors of boundary topological terms creating these metrics, versus the deformation parameter are consistent with our expectations. As the main results of this work, we develop many holographic tools for the case of warped $\text{AdS}_3$, which include the tensor network structure for the chiral warped CFTs, entangler function, surface/state correspondence, quantum circuits of Kac-Moody algebra and kinematic space of WAdS/WCFTs. In addition, we discuss how and why the path-integral complexity should be generalized and propose several other examples such as Polyakov, p-adic strings and Zabrodin actions as the more suitable cost functions to calculate the circuit complexity.

[ { "created": "Sun, 10 Nov 2019 01:36:02 GMT", "version": "v1" }, { "created": "Sun, 22 Dec 2019 05:03:28 GMT", "version": "v2" } ]

2020-02-11

[ [ "Ghodrati", "Mahdis", "" ] ]

In this work we explore the complexity path integral optimization process for the case of warped $\text{AdS}_3$/warped $\text{CFT}_2$ correspondence. We first present the specific renormalization flow equations and analyze the differences with the case of CFT. We discuss how the "chiral Liouville action" could replace the Liouville action as the suitable cost function for this case. Starting from the other side of the story, we also show how the deformed Liouville actions could be derived from the spacelike, timelike and null warped metrics and how the behaviors of boundary topological terms creating these metrics, versus the deformation parameter are consistent with our expectations. As the main results of this work, we develop many holographic tools for the case of warped $\text{AdS}_3$, which include the tensor network structure for the chiral warped CFTs, entangler function, surface/state correspondence, quantum circuits of Kac-Moody algebra and kinematic space of WAdS/WCFTs. In addition, we discuss how and why the path-integral complexity should be generalized and propose several other examples such as Polyakov, p-adic strings and Zabrodin actions as the more suitable cost functions to calculate the circuit complexity.

15.194107

15.181039

17.110338

14.155721

14.828605

14.352362

13.823858

14.647723

14.294532

17.959452

13.925047

14.249704

15.453786

14.136537

14.205475

13.975556

14.494897

14.247693

14.234384

14.939149

14.458291

1203.1564

Tajron Juri\'c mag.phys

E. Harikumar, T. Juric, S. Meljanac

Geodesic equation in $k$-Minkowski spacetime

11 pages, references added

Phys. Rev. D 86, 045002 (2012)

10.1103/PhysRevD.86.045002

null

hep-th gr-qc

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

In this paper, we derive corrections to the geodesic equation due to the $k$-deformation of curved space-time, up to the first order in the deformation parameter a. This is done by generalizing the method from our previous paper [31], to include curvature effects. We show that the effect of $k$-noncommutativity can be interpreted as an extra drag that acts on the particle while moving in this $k$-deformed curved space. We have derived the Newtonian limit of the geodesic equation and using this, we discuss possible bounds on the deformation parameter. We also derive the generalized uncertainty relations valid in the non-relativistic limit of the $k$-space-time.

[ { "created": "Wed, 7 Mar 2012 18:36:18 GMT", "version": "v1" }, { "created": "Tue, 12 Jun 2012 11:31:54 GMT", "version": "v2" } ]

2013-12-16

[ [ "Harikumar", "E.", "" ], [ "Juric", "T.", "" ], [ "Meljanac", "S.", "" ] ]

In this paper, we derive corrections to the geodesic equation due to the $k$-deformation of curved space-time, up to the first order in the deformation parameter a. This is done by generalizing the method from our previous paper [31], to include curvature effects. We show that the effect of $k$-noncommutativity can be interpreted as an extra drag that acts on the particle while moving in this $k$-deformed curved space. We have derived the Newtonian limit of the geodesic equation and using this, we discuss possible bounds on the deformation parameter. We also derive the generalized uncertainty relations valid in the non-relativistic limit of the $k$-space-time.

7.547194

6.717798

7.018279

6.586915

6.723048

6.630311

6.401946

6.590758

6.305538

7.33131

6.66817

6.53721

6.659762

6.626692

6.630039

6.690854

6.518876

6.608785

6.66436

6.79485

6.801661

1402.7026

Lavinia Heisenberg

Generalization of the Proca Action

null

JCAP 1405 (2014) 015

10.1088/1475-7516/2014/05/015

null

hep-th astro-ph.CO gr-qc

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

We consider the Lagrangian of a vector field with derivative self-interactions with a priori arbitrary coefficients. Starting with a flat space-time we show that for a special choice of the coefficients of the self-interactions the ghost-like pathologies disappear. For this we use the degeneracy condition of the Hessian. This constitutes the Galileon-type generalization of the Proca action with only three propagating physical degrees of freedom. The longitudinal mode of the vector field is associated to the usual Galileon interactions for a specific choice of the overall functions. In difference to a scalar Galileon theory, the generalized Proca field has more free parameters and purely intrinsic vector interactions. We then extend this analysis to a curved background. The resulting theory is the Horndeski Proca action with second order equations of motion on curved space-times.

[ { "created": "Thu, 27 Feb 2014 19:14:27 GMT", "version": "v1" }, { "created": "Mon, 3 Mar 2014 20:44:16 GMT", "version": "v2" }, { "created": "Thu, 1 Aug 2019 13:48:04 GMT", "version": "v3" } ]

2019-08-02

[ [ "Heisenberg", "Lavinia", "" ] ]

We consider the Lagrangian of a vector field with derivative self-interactions with a priori arbitrary coefficients. Starting with a flat space-time we show that for a special choice of the coefficients of the self-interactions the ghost-like pathologies disappear. For this we use the degeneracy condition of the Hessian. This constitutes the Galileon-type generalization of the Proca action with only three propagating physical degrees of freedom. The longitudinal mode of the vector field is associated to the usual Galileon interactions for a specific choice of the overall functions. In difference to a scalar Galileon theory, the generalized Proca field has more free parameters and purely intrinsic vector interactions. We then extend this analysis to a curved background. The resulting theory is the Horndeski Proca action with second order equations of motion on curved space-times.

11.418383

10.563405

10.582934

10.405972

11.341002

11.213879

10.221211

10.155426

10.665309

11.454033

10.5116

10.704228

10.088807

9.957407

10.326196

10.406475

10.579698

9.998065

9.889858

10.35666

10.57155

2311.00052

Marcel Hughes

Marcel R. R. Hughes, Samir D. Mathur, Madhur Mehta

Lifting of superconformal descendants in the D1-D5 CFT

47 pages, 10 figures; v2: references added

null

hep-th

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

We consider D1-D5-P states in the untwisted sector of the D1-D5 orbifold CFT where we excite one copy of the seed CFT with a left-moving superconformal descendant. When the theory is deformed away from this region of moduli space these states can `lift', despite being BPS at the orbifold point. For descendants formed from the supersymmetry $G^{\alpha}_{\!\dot{A},-s}$ and R-symmetry $J^a_{-n}$ current modes we obtain explicit results for the expectation value of the lifts for various subfamilies of states at second order in the deformation parameter. A smooth $\sim\sqrt{h}$ behaviour is observed in the lifts of these subfamilies for large dimensions. Using covering space Ward identities we then find a compact expression for the lift of the above $J^a_{-n}$ descendant states valid for arbitrary dimensions. In the large-dimension limit this lift scales as $\sim\sqrt{h}\,$, strengthening the conjecture that this is a universal property of the lift of D1-D5-P states. We observe that the lift is not simply a function of the total dimension, but depends on how the descendant level is partitioned amongst modes.

[ { "created": "Tue, 31 Oct 2023 18:02:29 GMT", "version": "v1" }, { "created": "Mon, 13 Nov 2023 20:25:40 GMT", "version": "v2" } ]

2023-11-15

[ [ "Hughes", "Marcel R. R.", "" ], [ "Mathur", "Samir D.", "" ], [ "Mehta", "Madhur", "" ] ]

We consider D1-D5-P states in the untwisted sector of the D1-D5 orbifold CFT where we excite one copy of the seed CFT with a left-moving superconformal descendant. When the theory is deformed away from this region of moduli space these states can `lift', despite being BPS at the orbifold point. For descendants formed from the supersymmetry $G^{\alpha}_{\!\dot{A},-s}$ and R-symmetry $J^a_{-n}$ current modes we obtain explicit results for the expectation value of the lifts for various subfamilies of states at second order in the deformation parameter. A smooth $\sim\sqrt{h}$ behaviour is observed in the lifts of these subfamilies for large dimensions. Using covering space Ward identities we then find a compact expression for the lift of the above $J^a_{-n}$ descendant states valid for arbitrary dimensions. In the large-dimension limit this lift scales as $\sim\sqrt{h}\,$, strengthening the conjecture that this is a universal property of the lift of D1-D5-P states. We observe that the lift is not simply a function of the total dimension, but depends on how the descendant level is partitioned amongst modes.

11.037452

9.334404

13.550739

9.749593

9.256043

9.58202

10.12166

9.628566

9.832437

14.897967

9.823701

10.295852

11.014099

10.683002

10.416965

10.347338

10.428652

10.188231

10.302703

11.105626

10.594701

hep-th/0403044

Anupam Mazumdar

Kari Enqvist, Anupam Mazumdar, and A. P\'erez-Lorenzana

Dumping inflaton energy density out of this world

16 pages

Phys.Rev.D70:103508,2004

10.1103/PhysRevD.70.103508

null

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

null

We argue that a brane world with a warped, infinite extra dimension allows for the inflaton to decay into the bulk so that after inflation, the effective dark energy disappears from our brane. This is achieved by the redshifting of the decay products into infinity of the 5th dimension. As a consequence, all matter and CMB density perturbations could have their origin in the decay of a MSSM flat direction rather than the inflaton. We also discuss a string theoretical model where reheating after inflation may not affect the observable brane.

[ { "created": "Wed, 3 Mar 2004 17:51:30 GMT", "version": "v1" } ]

2008-11-26

[ [ "Enqvist", "Kari", "" ], [ "Mazumdar", "Anupam", "" ], [ "Pérez-Lorenzana", "A.", "" ] ]

We argue that a brane world with a warped, infinite extra dimension allows for the inflaton to decay into the bulk so that after inflation, the effective dark energy disappears from our brane. This is achieved by the redshifting of the decay products into infinity of the 5th dimension. As a consequence, all matter and CMB density perturbations could have their origin in the decay of a MSSM flat direction rather than the inflaton. We also discuss a string theoretical model where reheating after inflation may not affect the observable brane.

13.467592

13.8558

12.768806

12.774186

13.886489

13.916298

14.017366

14.630189

12.154881

13.108603

13.531829

12.524988

12.922978

12.194435

12.161672

13.113075

12.317125

12.33444

12.359197

12.418364

12.662357

hep-th/0501144

Michael Flohr

Michael Flohr, Marco Krohn

A Note on Four-Point Functions in Logarithmic Conformal Field Theory

Contribution to the Proceedings of the 37th International Symposium Ahrenshoop on the Theory of Elementary Particles, 7pp

Fortsch.Phys. 53 (2005) 456-462

10.1002/prop.200510204

null

hep-th

null

The generic structure of 4-point functions of fields residing in indecomposable representations of arbitrary rank is given. The presented algorithm is illustrated with some non-trivial examples and permutation symmetries are exploited to reduce the number of free structure-functions, which cannot be fixed by global conformal invariance alone.

[ { "created": "Wed, 19 Jan 2005 10:31:08 GMT", "version": "v1" } ]

2015-06-26

[ [ "Flohr", "Michael", "" ], [ "Krohn", "Marco", "" ] ]

The generic structure of 4-point functions of fields residing in indecomposable representations of arbitrary rank is given. The presented algorithm is illustrated with some non-trivial examples and permutation symmetries are exploited to reduce the number of free structure-functions, which cannot be fixed by global conformal invariance alone.

19.43924

13.928683

16.820721

16.615721

15.028946

17.420048

14.646504

15.735945

14.955514

21.870993

15.156233

16.235806

17.353647

15.271188

15.279374

15.890266

15.368916

15.392008

15.278308

17.28401

15.385631

2204.05897

Christian Ferko

Stephen Ebert, Christian Ferko, Hao-Yu Sun, Zhengdi Sun

$T \overline{T}$ Deformations of Supersymmetric Quantum Mechanics

75 pages; LaTeX

null

10.1007/JHEP08(2022)121

null

hep-th

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

We define a manifestly supersymmetric version of the $T \overline{T}$ deformation appropriate for a class of $(0+1)$-dimensional theories with $\mathcal{N} = 1$ or $\mathcal{N} = 2$ supersymmetry, including one presentation of the super-Schwarzian theory which is dual to JT supergravity. These deformations are written in terms of Noether currents associated with translations in superspace, so we refer to them collectively as $f(\mathcal{Q})$ deformations. We provide evidence that the $f(\mathcal{Q})$ deformations of $\mathcal{N} = 1$ and $\mathcal{N} = 2$ theories are on-shell equivalent to the dimensionally reduced supercurrent-squared deformations of $2d$ theories with $\mathcal{N} = (0,1)$ and $\mathcal{N} = (1,1)$ supersymmetry, respectively. In the $\mathcal{N} = 1$ case, we present two forms of the $f(\mathcal{Q})$ deformation which drive the same flow, and clarify their equivalence by studying the analogous equivalent deformations in the non-supersymmetric setting.

[ { "created": "Tue, 12 Apr 2022 15:47:13 GMT", "version": "v1" }, { "created": "Tue, 17 May 2022 23:20:44 GMT", "version": "v2" }, { "created": "Thu, 2 Jun 2022 19:49:40 GMT", "version": "v3" }, { "created": "Tue, 2 Aug 2022 17:29:39 GMT", "version": "v4" } ]

2022-08-16

[ [ "Ebert", "Stephen", "" ], [ "Ferko", "Christian", "" ], [ "Sun", "Hao-Yu", "" ], [ "Sun", "Zhengdi", "" ] ]

We define a manifestly supersymmetric version of the $T \overline{T}$ deformation appropriate for a class of $(0+1)$-dimensional theories with $\mathcal{N} = 1$ or $\mathcal{N} = 2$ supersymmetry, including one presentation of the super-Schwarzian theory which is dual to JT supergravity. These deformations are written in terms of Noether currents associated with translations in superspace, so we refer to them collectively as $f(\mathcal{Q})$ deformations. We provide evidence that the $f(\mathcal{Q})$ deformations of $\mathcal{N} = 1$ and $\mathcal{N} = 2$ theories are on-shell equivalent to the dimensionally reduced supercurrent-squared deformations of $2d$ theories with $\mathcal{N} = (0,1)$ and $\mathcal{N} = (1,1)$ supersymmetry, respectively. In the $\mathcal{N} = 1$ case, we present two forms of the $f(\mathcal{Q})$ deformation which drive the same flow, and clarify their equivalence by studying the analogous equivalent deformations in the non-supersymmetric setting.

4.110327

3.626113

4.35509

3.788461

3.913184

3.925322

3.808974

3.80638

3.921378

4.354986

3.715909

3.854793

4.163477

3.900954

3.793943

3.861973

3.843905

3.872949

3.906113

4.100814

3.859722

hep-th/9703077

Y. Imamura

Yosuke Imamura

A Comment on Fundamental Strings in M(atrix) Theory

11 pages + 2 uuencoded eps figures, LaTeX, errors corrected and arguments generalized

Prog.Theor.Phys. 98 (1997) 677-685

10.1143/PTP.98.677

KUNS-1436

hep-th

null

We present a solution of M(atrix) theory describing type IIA fundamental string. Our construction is based on the central charge of the longitudinal membrane (= fundamental string), the BPS saturation condition and the relation between M(atrix) theory and supersymmetric Yang-Mills theory. The fundamental string corresponds to a photon in supersymmetric Yang-Mills theory.

[ { "created": "Tue, 11 Mar 1997 06:47:22 GMT", "version": "v1" }, { "created": "Fri, 14 Mar 1997 07:44:59 GMT", "version": "v2" }, { "created": "Fri, 28 Mar 1997 01:11:55 GMT", "version": "v3" } ]

2009-10-30

[ [ "Imamura", "Yosuke", "" ] ]

We present a solution of M(atrix) theory describing type IIA fundamental string. Our construction is based on the central charge of the longitudinal membrane (= fundamental string), the BPS saturation condition and the relation between M(atrix) theory and supersymmetric Yang-Mills theory. The fundamental string corresponds to a photon in supersymmetric Yang-Mills theory.

11.015977

9.056324

12.376199

8.400303

8.819949

7.577372

8.585082

8.038466

8.995691

11.233115

8.103788

8.965695

11.261691

9.415184

9.269404

8.590767

9.019972

9.130258

8.99953

10.946431

8.972784

2211.11794

Martin Sasieta

Wormholes from heavy operator statistics in AdS/CFT

36 pages, 10 figures; v2: minor corrections and added references

null

10.1007/JHEP03(2023)158

null

hep-th gr-qc

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

We construct higher dimensional Euclidean AdS wormhole solutions that reproduce the statistical description of the correlation functions of an ensemble of heavy CFT operators. We consider an operator which effectively backreacts on the geometry in the form of a thin shell of dust particles. Assuming dynamical chaos in the form of the ETH ansatz, we demonstrate that the semiclassical path integral provides an effective statistical description of the microscopic features of the thin shell operator in the CFT. The Euclidean wormhole solutions provide microcanonical saddlepoint contributions to the cumulants of the correlation functions over the ensemble of operators. We finally elaborate on the role of these wormholes in the context of non-perturbative violations of bulk global symmetries in AdS/CFT.

[ { "created": "Mon, 21 Nov 2022 19:00:52 GMT", "version": "v1" }, { "created": "Wed, 22 Feb 2023 05:50:23 GMT", "version": "v2" } ]

2023-04-05

[ [ "Sasieta", "Martin", "" ] ]

We construct higher dimensional Euclidean AdS wormhole solutions that reproduce the statistical description of the correlation functions of an ensemble of heavy CFT operators. We consider an operator which effectively backreacts on the geometry in the form of a thin shell of dust particles. Assuming dynamical chaos in the form of the ETH ansatz, we demonstrate that the semiclassical path integral provides an effective statistical description of the microscopic features of the thin shell operator in the CFT. The Euclidean wormhole solutions provide microcanonical saddlepoint contributions to the cumulants of the correlation functions over the ensemble of operators. We finally elaborate on the role of these wormholes in the context of non-perturbative violations of bulk global symmetries in AdS/CFT.

12.883907

12.346809

14.030025

12.028152

12.480754

12.573814

13.53523

12.973833

11.683099

15.811615

11.908206

12.293691

13.257969

12.817649

12.785162

12.71982

13.046198

12.328044

12.689213

13.141895

12.416943

hep-th/9202045

Amitabha Lahiri

An Alternative Scenario for Non-Abelian Quantum Hair

11pp

Phys.Lett. B297 (1992) 248-252

10.1016/0370-2693(92)91257-A

null

hep-th

null

Topologically charged black holes in a theory with a 2-form coupled to a non-abelian gauge field are investigated. It is found that the classification of the ground states is similar to that in the theory of non-abelian discrete quantum hair.

[ { "created": "Thu, 13 Feb 1992 20:42:14 GMT", "version": "v1" } ]

2009-10-22

[ [ "Lahiri", "Amitabha", "" ] ]

Topologically charged black holes in a theory with a 2-form coupled to a non-abelian gauge field are investigated. It is found that the classification of the ground states is similar to that in the theory of non-abelian discrete quantum hair.

12.093653

8.271389

10.441592

9.336884

8.12727

10.109751

9.518795

8.635599

9.207954

9.850726

8.99473

8.561216

9.395755

9.218184

9.200334

8.556158

9.038361

8.718444

8.795088

9.504366

9.192423

2208.14192

Suman Kumar Kundu

Suman Kumar Kundu, Arnab Pradhan, Carl Rosenzweig

Does the Vacuum Gravitate on Microscopic Scales? Rydberg Atoms Indicate Probably Not

Accepted in PRD

null

10.1103/PhysRevD.108.043505

null

hep-th gr-qc physics.atom-ph

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

The cosmological constant presents one of the most fascinating and confounding problems in physics. A straightforward, seemingly robust prediction of quantum mechanics and general relativity is that the vacuum energy gravitates. Therefore, the cosmological constant should be enormous. It is minuscule. Since there is no understanding of why the cosmological constant is so small, it is important to test this idea in many different situations. In particular, given the span of distances in astronomy and particle physics, it is vital to test the gravitation of vacuum energy on as many distance scales as we can. Rydberg atoms open up a new set of distances for exploration. It is satisfying to measure the cosmological constant with an atom, but its main significance is extending measurements to microscopic distances. Here, too, there is no evidence of the gravitation of the vacuum. At scales of a micron and less, we place a limit of $7$ GeV on the scale of gravitating vacuum energy, well below the scale of $100$ GeV of the SM of particle physics.

[ { "created": "Fri, 26 Aug 2022 00:22:28 GMT", "version": "v1" }, { "created": "Fri, 21 Jul 2023 18:07:17 GMT", "version": "v2" } ]

2023-08-16

[ [ "Kundu", "Suman Kumar", "" ], [ "Pradhan", "Arnab", "" ], [ "Rosenzweig", "Carl", "" ] ]

The cosmological constant presents one of the most fascinating and confounding problems in physics. A straightforward, seemingly robust prediction of quantum mechanics and general relativity is that the vacuum energy gravitates. Therefore, the cosmological constant should be enormous. It is minuscule. Since there is no understanding of why the cosmological constant is so small, it is important to test this idea in many different situations. In particular, given the span of distances in astronomy and particle physics, it is vital to test the gravitation of vacuum energy on as many distance scales as we can. Rydberg atoms open up a new set of distances for exploration. It is satisfying to measure the cosmological constant with an atom, but its main significance is extending measurements to microscopic distances. Here, too, there is no evidence of the gravitation of the vacuum. At scales of a micron and less, we place a limit of $7$ GeV on the scale of gravitating vacuum energy, well below the scale of $100$ GeV of the SM of particle physics.

9.698097

10.873234

10.163788

9.788542

11.40389

12.059085

11.220712

10.199642

9.385064

9.988005

9.476184

9.302131

9.578658

9.296937

9.524155

9.633264

9.448618

9.524486

9.222247

9.378637

9.444276

1712.04946

Cody Long

Andreas P. Braun, Cody Long, Liam McAllister, Michael Stillman, and Benjamin Sung

The Hodge Numbers of Divisors of Calabi-Yau Threefold Hypersurfaces

67 pages, 10 figures

null

hep-th math.AC math.AG

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

We prove a formula for the Hodge numbers of square-free divisors of Calabi-Yau threefold hypersurfaces in toric varieties. Euclidean branes wrapping divisors affect the vacuum structure of Calabi-Yau compactifications of type IIB string theory, M-theory, and F-theory. Determining the nonperturbative couplings due to Euclidean branes on a divisor $D$ requires counting fermion zero modes, which depend on the Hodge numbers $h^i({\cal{O}}_D)$. Suppose that $X$ is a smooth Calabi-Yau threefold hypersurface in a toric variety $V$, and let $D$ be the restriction to $X$ of a square-free divisor of $V$. We give a formula for $h^i({\cal{O}}_D)$ in terms of combinatorial data. Moreover, we construct a CW complex $\mathscr{P}_D$ such that $h^i({\cal{O}}_D)=h_i(\mathscr{P}_D)$. We describe an efficient algorithm that makes possible for the first time the computation of sheaf cohomology for such divisors at large $h^{1,1}$. As an illustration we compute the Hodge numbers of a class of divisors in a threefold with $h^{1,1}=491$. Our results are a step toward a systematic computation of Euclidean brane superpotentials in Calabi-Yau hypersurfaces.

[ { "created": "Wed, 13 Dec 2017 19:00:02 GMT", "version": "v1" } ]

2017-12-18

[ [ "Braun", "Andreas P.", "" ], [ "Long", "Cody", "" ], [ "McAllister", "Liam", "" ], [ "Stillman", "Michael", "" ], [ "Sung", "Benjamin", "" ] ]

We prove a formula for the Hodge numbers of square-free divisors of Calabi-Yau threefold hypersurfaces in toric varieties. Euclidean branes wrapping divisors affect the vacuum structure of Calabi-Yau compactifications of type IIB string theory, M-theory, and F-theory. Determining the nonperturbative couplings due to Euclidean branes on a divisor $D$ requires counting fermion zero modes, which depend on the Hodge numbers $h^i({\cal{O}}_D)$. Suppose that $X$ is a smooth Calabi-Yau threefold hypersurface in a toric variety $V$, and let $D$ be the restriction to $X$ of a square-free divisor of $V$. We give a formula for $h^i({\cal{O}}_D)$ in terms of combinatorial data. Moreover, we construct a CW complex $\mathscr{P}_D$ such that $h^i({\cal{O}}_D)=h_i(\mathscr{P}_D)$. We describe an efficient algorithm that makes possible for the first time the computation of sheaf cohomology for such divisors at large $h^{1,1}$. As an illustration we compute the Hodge numbers of a class of divisors in a threefold with $h^{1,1}=491$. Our results are a step toward a systematic computation of Euclidean brane superpotentials in Calabi-Yau hypersurfaces.

4.21452

4.363211

4.700955

4.256296

4.999426

4.306818

4.789622

4.521055

4.28878

4.956439

4.258647

4.269523

4.279095

4.126619

4.253541

4.267259

4.274359

4.263604

4.189849

4.378971

4.215154

hep-th/0206051

Timothy J. Hollowood

Timothy J. Hollowood and S. Prem Kumar

World-sheet Instantons via the Myers Effect and N=1^* Quiver Superpotentials

24 pages, JHEP, some small errors and typos corrected

JHEP 0210:077,2002

10.1088/1126-6708/2002/10/077

null

hep-th

null

In this note we explore the stringy interpretation of non-perturbative effects in N=1^* deformations of the A_{k-1} quiver models. For certain types of deformations we argue that the massive vacua are described by Nk fractional D3-branes at the orbifold polarizing into k concentric 5-brane spheres each carrying fractional brane charge. The polarization of the D3-branes induces a polarization of D-instantons into string world-sheets wrapped on the Myers spheres. We show that the superpotentials in these models are indeed generated by these world-sheet instantons. We point out that for certain parameter values the condensates yield the exact superpotential for a relevant deformation of the Klebanov-Witten conifold theory.

[ { "created": "Thu, 6 Jun 2002 11:20:26 GMT", "version": "v1" }, { "created": "Fri, 5 Jul 2002 13:23:57 GMT", "version": "v2" } ]

2011-04-15

[ [ "Hollowood", "Timothy J.", "" ], [ "Kumar", "S. Prem", "" ] ]

In this note we explore the stringy interpretation of non-perturbative effects in N=1^* deformations of the A_{k-1} quiver models. For certain types of deformations we argue that the massive vacua are described by Nk fractional D3-branes at the orbifold polarizing into k concentric 5-brane spheres each carrying fractional brane charge. The polarization of the D3-branes induces a polarization of D-instantons into string world-sheets wrapped on the Myers spheres. We show that the superpotentials in these models are indeed generated by these world-sheet instantons. We point out that for certain parameter values the condensates yield the exact superpotential for a relevant deformation of the Klebanov-Witten conifold theory.

11.600889

10.859909

14.447519

9.876154

10.527753

11.246786

10.782652

11.175846

10.906896

14.802617

10.960081

11.154037

12.167247

11.030965

11.397261

10.845595

11.140364

10.778797

11.369081

11.756402

11.291343

hep-th/9807069

Antti Niemi

Ludvig Faddeev and Antti J. Niemi

Partially Dual variables in SU(2) Yang-Mills Theory

4 pages, revtex twocolumn

Phys.Rev.Lett. 82 (1999) 1624-1627

10.1103/PhysRevLett.82.1624

null

hep-th

null

We propose a reformulation of SU(2) Yang-Mills theory in terms of new variables. These variables are appropriate for describing the theory in its infrared limit, and indicate that it admits knotlike configurations as stable solitons. As a consequence we arrive at a dual picture of the Yang-Mills theory where the short distance limit describes asymptotically free, massless point gluons and the large distance limit describes extended, massive knotlike solitons.

[ { "created": "Thu, 9 Jul 1998 14:59:37 GMT", "version": "v1" } ]

2009-10-31

[ [ "Faddeev", "Ludvig", "" ], [ "Niemi", "Antti J.", "" ] ]

We propose a reformulation of SU(2) Yang-Mills theory in terms of new variables. These variables are appropriate for describing the theory in its infrared limit, and indicate that it admits knotlike configurations as stable solitons. As a consequence we arrive at a dual picture of the Yang-Mills theory where the short distance limit describes asymptotically free, massless point gluons and the large distance limit describes extended, massive knotlike solitons.

10.465611

8.951167

10.018194

8.994493

8.206841

8.456762

8.764932

8.835786

8.348128

11.025249

9.060112

9.318401

9.987705

9.72961

9.583341

9.37357

9.457299

9.552307

9.817669

10.102334

9.126046

2312.12349

Mikhail Khramtsov

Sergio E. Aguilar-Gutierrez, Ben Craps, Juan Hernandez, Mikhail Khramtsov, Maria Knysh and Ashish Shukla

Holographic complexity: braneworld gravity versus the Lloyd bound

49+21 pages, 32 figures. v2: references added, version published in JHEP

JHEP 03 (2024) 173

10.1007/JHEP03(2024)173

CPHT-RR068.112023

hep-th gr-qc

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

We explore the complexity equals volume proposal for planar black holes in anti-de Sitter (AdS) spacetime in 2+1 dimensions, with an end of the world (ETW) brane behind the horizon. We allow for the possibility of intrinsic gravitational dynamics in the form of Jackiw-Teitelboim (JT) gravity to be localized on the brane. We compute the asymptotic rate of change of volume complexity analytically and obtain the full time dependence using numerical techniques. We find that the inclusion of JT gravity on the brane leads to interesting effects on time dependence of holographic complexity. We identify the region in parameter space (the brane location and the JT coupling) for which the rate of change of complexity violates the Lloyd bound. In an equivalent description of the model in terms of an asymptotically AdS wormhole, we connect the violation of the Lloyd bound to the violation of a suitable energy condition in the bulk that we introduce. We also compare the Lloyd bound constraints to previously derived constraints on the bulk parameters in this model that are based on bounds on entanglement growth in the dual CFT state.

[ { "created": "Tue, 19 Dec 2023 17:28:43 GMT", "version": "v1" }, { "created": "Tue, 2 Apr 2024 17:35:07 GMT", "version": "v2" } ]

2024-04-03

[ [ "Aguilar-Gutierrez", "Sergio E.", "" ], [ "Craps", "Ben", "" ], [ "Hernandez", "Juan", "" ], [ "Khramtsov", "Mikhail", "" ], [ "Knysh", "Maria", "" ], [ "Shukla", "Ashish", "" ] ]

We explore the complexity equals volume proposal for planar black holes in anti-de Sitter (AdS) spacetime in 2+1 dimensions, with an end of the world (ETW) brane behind the horizon. We allow for the possibility of intrinsic gravitational dynamics in the form of Jackiw-Teitelboim (JT) gravity to be localized on the brane. We compute the asymptotic rate of change of volume complexity analytically and obtain the full time dependence using numerical techniques. We find that the inclusion of JT gravity on the brane leads to interesting effects on time dependence of holographic complexity. We identify the region in parameter space (the brane location and the JT coupling) for which the rate of change of complexity violates the Lloyd bound. In an equivalent description of the model in terms of an asymptotically AdS wormhole, we connect the violation of the Lloyd bound to the violation of a suitable energy condition in the bulk that we introduce. We also compare the Lloyd bound constraints to previously derived constraints on the bulk parameters in this model that are based on bounds on entanglement growth in the dual CFT state.

8.153961

6.588368

8.477036

6.741845

6.616279

6.789536

6.6094

6.552921

6.412612

9.027657

7.032731

6.880451

7.572743

6.816112

6.786854

6.880156

6.837385

7.079535

6.691174

7.56158

7.088134

hep-th/0110163

Aharon Nudelman

The Concept of a J-string and its Application for the Computation of the Planck Length and the Planck Mass

15 pages, no figures

null

hep-th

null

Certain linear objects, termed physical lines, are considered, and initial assumptions concerning their properties are introduced. A physical line in the form of a circle is called a \emph{$J$-string}. It is assumed that a $J$-string has an angular momentum whose value is $\hbar$. It is then established that a $J$-string of radius $R$ possesses a mass $m_J$, equal to $h/2\pi c R$, a corresponding energy, as well as a charge $q_J$, where $q_J = (hc/2\pi)^{1/2}$. It is shown that this physical curve consists of indivisible line segments of length $\ell_\Delta = 2\pi(hG/c^3)^{1/2}$, where $c$ is the speed of light and $G$ is the gravitational constant. Quantum features of $J$-strings are studied. Based upon investigation of the properties and characteristics of $J$-strings, a method is developed for the computation of the Planck length and mass $(\ell^*_P, m^*_P)$. The values of $\ell^*_P$ and $m^*_P$ are computed according to the resulting formulae (and given in the paper); these values differ from the currently accepted ones.

[ { "created": "Wed, 17 Oct 2001 23:57:57 GMT", "version": "v1" } ]

2007-05-23

[ [ "Nudelman", "Aharon", "" ] ]

Certain linear objects, termed physical lines, are considered, and initial assumptions concerning their properties are introduced. A physical line in the form of a circle is called a \emph{$J$-string}. It is assumed that a $J$-string has an angular momentum whose value is $\hbar$. It is then established that a $J$-string of radius $R$ possesses a mass $m_J$, equal to $h/2\pi c R$, a corresponding energy, as well as a charge $q_J$, where $q_J = (hc/2\pi)^{1/2}$. It is shown that this physical curve consists of indivisible line segments of length $\ell_\Delta = 2\pi(hG/c^3)^{1/2}$, where $c$ is the speed of light and $G$ is the gravitational constant. Quantum features of $J$-strings are studied. Based upon investigation of the properties and characteristics of $J$-strings, a method is developed for the computation of the Planck length and mass $(\ell^*_P, m^*_P)$. The values of $\ell^*_P$ and $m^*_P$ are computed according to the resulting formulae (and given in the paper); these values differ from the currently accepted ones.

6.753119

7.220488

6.860236

6.926663

7.132895

7.17863

7.387186

7.002763

6.777282

7.562052

6.796087

6.657507

6.548208

6.550977

6.814242

6.834405

6.825283

6.665631

6.660709

6.735289

6.523717

hep-th/0305083

Victor Red'kov

V.M. Red'kov

On Concept of Parity for a Fermion

8 pages

Proc.Natl.Acad.Sci.Belarus.Ser.Phys.Math. 2003N2:70-76,2003

null

hep-th

null

The known problem of fermion parity is considered on the base of investigating possible linear single-valued representations of spinor coverings of the extended Lorentz group. It is shown that in the frame of this theory does not exist, as separate concepts, P-parity and T-parity for a fermion, instead only some unified concept of (PT)-parity can be determined in a group-theoretical language.

[ { "created": "Sun, 11 May 2003 09:39:41 GMT", "version": "v1" } ]

2011-09-15

[ [ "Red'kov", "V. M.", "" ] ]

The known problem of fermion parity is considered on the base of investigating possible linear single-valued representations of spinor coverings of the extended Lorentz group. It is shown that in the frame of this theory does not exist, as separate concepts, P-parity and T-parity for a fermion, instead only some unified concept of (PT)-parity can be determined in a group-theoretical language.

20.711365

21.023506

19.715019

18.161304

19.09502

19.206638

20.154718

17.643885

18.978848

16.503475

18.317247

17.46176

18.069279

17.084785

17.397196

18.125465

17.280867

17.873938

17.41263

16.955309

18.182322

1607.00214

K. V. Shajesh

K. V. Shajesh, Iver Brevik, In\'es Cavero-Pel\'aez, Prachi Parashar

Casimir energies of self-similar plate configurations

13 pages, 5 figures, Minor changes to match the journal article

Phys. Rev. D 94, 065003 (2016)

10.1103/PhysRevD.94.065003

null

hep-th

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

We construct various self-similar configurations using parallel $\delta$-function plates and show that it is possible to evaluate the Casimir interaction energy of these configurations using the idea of self-similarity alone. We restrict our analysis to interactions mediated by a scalar field, but the extension to electromagnetic field is immediate. Our work unveils an easy and powerful method that can be easily employed to calculate the Casimir energies of a class of self-similar configurations. As a highlight, in an example, we determine the Casimir interaction energy of a stack of parallel plates constructed by positioning $\delta$-function plates at the points constituting the Cantor set, a prototype of a fractal. This, to our knowledge, is the first time that the Casimir energy of a fractal configuration has been reported. Remarkably, the Casimir energy of some of the configurations we consider turn out to be positive, and a few even have zero Casimir energy. For the case of positive Casimir energy that is monotonically decreasing as the stacking parameter increases the interpretation is that the pressure of vacuum tends to inflate the infinite stack of plates. We further support our results, derived using the idea of self-similarity alone, by rederiving them using the Green's function formalism. These expositions gives us insight into the connections between the regularization methods used in quantum field theories and regularized sums of divergent series in number theory.

[ { "created": "Fri, 1 Jul 2016 11:55:18 GMT", "version": "v1" }, { "created": "Mon, 4 Jul 2016 19:30:42 GMT", "version": "v2" }, { "created": "Tue, 13 Sep 2016 10:28:29 GMT", "version": "v3" } ]

2016-09-14

[ [ "Shajesh", "K. V.", "" ], [ "Brevik", "Iver", "" ], [ "Cavero-Peláez", "Inés", "" ], [ "Parashar", "Prachi", "" ] ]

We construct various self-similar configurations using parallel $\delta$-function plates and show that it is possible to evaluate the Casimir interaction energy of these configurations using the idea of self-similarity alone. We restrict our analysis to interactions mediated by a scalar field, but the extension to electromagnetic field is immediate. Our work unveils an easy and powerful method that can be easily employed to calculate the Casimir energies of a class of self-similar configurations. As a highlight, in an example, we determine the Casimir interaction energy of a stack of parallel plates constructed by positioning $\delta$-function plates at the points constituting the Cantor set, a prototype of a fractal. This, to our knowledge, is the first time that the Casimir energy of a fractal configuration has been reported. Remarkably, the Casimir energy of some of the configurations we consider turn out to be positive, and a few even have zero Casimir energy. For the case of positive Casimir energy that is monotonically decreasing as the stacking parameter increases the interpretation is that the pressure of vacuum tends to inflate the infinite stack of plates. We further support our results, derived using the idea of self-similarity alone, by rederiving them using the Green's function formalism. These expositions gives us insight into the connections between the regularization methods used in quantum field theories and regularized sums of divergent series in number theory.

8.501855

8.729653

9.87878

8.485412

9.438101

8.65208

9.066344

8.835258

8.427161

10.460811

8.279528

8.539318

8.987406

8.704643

8.558986

8.578316

8.814466

8.741656

8.565041

9.00404

8.485796

hep-th/0611340

Lachezar Georgiev

Lachezar S. Georgiev

Towards a universal set of topologically protected gates for quantum computation with Pfaffian qubits

57 pages, 26 EPS figures, Latex2e with elsart class package; v2: one remark added and some misprints corrected

Nucl.Phys.B789:552-590,2008

10.1016/j.nuclphysb.2007.07.016

null

hep-th cond-mat.mes-hall quant-ph

null

We review the topological quantum computation scheme of Das Sarma et al. from the perspective of the conformal field theory for the two-dimensional critical Ising model. This scheme originally used the monodromy properties of the non-Abelian excitations in the Pfaffian quantum Hall state to construct elementary qubits and execute logical NOT on them. We extend the scheme of Das Sarma et al. by exploiting the explicit braiding transformations for the Pfaffian wave functions containing 4 and 6 quasiholes to implement, for the first time in this context, the single-qubit Hadamard and phase gates and the two-qubit Controlled-NOT gate over Pfaffian qubits in a topologically protected way. In more detail, we explicitly construct the unitary representations of the braid groups B_4, B_6 and B_8 and use the elementary braid matrices to implement one-, two- and three-qubit gates. We also propose to construct a topologically protected Toffoli gate, in terms of a braid-group based Controlled-Controlled-Z gate precursor. Finally we discuss some difficulties arising in the embedding of the Clifford gates and address several important questions about topological quantum computation in general.

[ { "created": "Thu, 30 Nov 2006 08:41:48 GMT", "version": "v1" }, { "created": "Tue, 10 Jul 2007 12:14:49 GMT", "version": "v2" } ]

2008-11-26

[ [ "Georgiev", "Lachezar S.", "" ] ]

We review the topological quantum computation scheme of Das Sarma et al. from the perspective of the conformal field theory for the two-dimensional critical Ising model. This scheme originally used the monodromy properties of the non-Abelian excitations in the Pfaffian quantum Hall state to construct elementary qubits and execute logical NOT on them. We extend the scheme of Das Sarma et al. by exploiting the explicit braiding transformations for the Pfaffian wave functions containing 4 and 6 quasiholes to implement, for the first time in this context, the single-qubit Hadamard and phase gates and the two-qubit Controlled-NOT gate over Pfaffian qubits in a topologically protected way. In more detail, we explicitly construct the unitary representations of the braid groups B_4, B_6 and B_8 and use the elementary braid matrices to implement one-, two- and three-qubit gates. We also propose to construct a topologically protected Toffoli gate, in terms of a braid-group based Controlled-Controlled-Z gate precursor. Finally we discuss some difficulties arising in the embedding of the Clifford gates and address several important questions about topological quantum computation in general.

8.6749

9.932649

10.041903

9.044913

9.493746

10.617259

10.760473

9.520797

9.783909

11.019176

9.186183

8.71058

8.406511

8.391212

8.990558

8.755151

8.916984

8.813774

8.585825

8.733963

8.43705

1802.04573

Marko Sto\v{s}i\'c

Mi{\l}osz Panfil, Marko Sto\v{s}i\'c, Piotr Su{\l}kowski

Donaldson-Thomas invariants, torus knots, and lattice paths

45 pages. Corrected typos in new version

Phys. Rev. D 98, 026022 (2018)

10.1103/PhysRevD.98.026022

null

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

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

In this paper we find and explore the correspondence between quivers, torus knots, and combinatorics of counting paths. Our first result pertains to quiver representation theory -- we find explicit formulae for classical generating functions and Donaldson-Thomas invariants of an arbitrary symmetric quiver. We then focus on quivers corresponding to $(r,s)$ torus knots and show that their classical generating functions, in the extremal limit and framing $rs$, are generating functions of lattice paths under the line of the slope $r/s$. Generating functions of such paths satisfy extremal A-polynomial equations, which immediately follows after representing them in terms of the Duchon grammar. Moreover, these extremal A-polynomial equations encode Donaldson-Thomas invariants, which provides an interesting example of algebraicity of generating functions of these invariants. We also find a quantum generalization of these statements, i.e. a relation between motivic quiver generating functions, quantum extremal knot invariants, and $q$-weighted path counting. Finally, in the case of the unknot, we generalize this correspondence to the full HOMFLY-PT invariants and counting of Schr\"oder paths.

[ { "created": "Tue, 13 Feb 2018 11:42:27 GMT", "version": "v1" }, { "created": "Sat, 29 Dec 2018 10:56:24 GMT", "version": "v2" } ]

2019-01-01

[ [ "Panfil", "Miłosz", "" ], [ "Stošić", "Marko", "" ], [ "Sułkowski", "Piotr", "" ] ]

In this paper we find and explore the correspondence between quivers, torus knots, and combinatorics of counting paths. Our first result pertains to quiver representation theory -- we find explicit formulae for classical generating functions and Donaldson-Thomas invariants of an arbitrary symmetric quiver. We then focus on quivers corresponding to $(r,s)$ torus knots and show that their classical generating functions, in the extremal limit and framing $rs$, are generating functions of lattice paths under the line of the slope $r/s$. Generating functions of such paths satisfy extremal A-polynomial equations, which immediately follows after representing them in terms of the Duchon grammar. Moreover, these extremal A-polynomial equations encode Donaldson-Thomas invariants, which provides an interesting example of algebraicity of generating functions of these invariants. We also find a quantum generalization of these statements, i.e. a relation between motivic quiver generating functions, quantum extremal knot invariants, and $q$-weighted path counting. Finally, in the case of the unknot, we generalize this correspondence to the full HOMFLY-PT invariants and counting of Schr\"oder paths.

10.629239

10.738003

12.872965

10.360802

10.922775

11.101486

10.986219

9.891576

10.217617

13.459023

9.838019

10.534107

10.82194

10.409373

10.280607

10.09446

10.352545

10.862706

10.625494

11.011079

10.227141

1601.01918

Robert Brandenberger

Initial Conditions for Inflation - A Short Review

Invited review article, references added

null

10.1142/S0218271817400028

null

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

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

I give a brief review of the status of research on the nature of initial conditions required to obtain a period of cosmological inflation. It is shown that there is good evidence that in the case of large field models, the inflationary slow-roll trajectory is a local attractor in initial condition space, whereas it is not in the case of small field models.

[ { "created": "Fri, 8 Jan 2016 15:51:45 GMT", "version": "v1" }, { "created": "Sat, 23 Jan 2016 09:46:54 GMT", "version": "v2" } ]

2017-02-08

[ [ "Brandenberger", "Robert", "" ] ]

I give a brief review of the status of research on the nature of initial conditions required to obtain a period of cosmological inflation. It is shown that there is good evidence that in the case of large field models, the inflationary slow-roll trajectory is a local attractor in initial condition space, whereas it is not in the case of small field models.

7.686708

6.931435

7.513635

6.864153

7.112319

6.965097

6.581839

6.636464

6.785225

7.900735

6.941378

6.812169

6.786748

6.918577

6.677431

6.396196

6.576514

6.659993

6.787865

6.886823

6.707633

hep-th/9803126

Sung-Kil Yang

Katsushi Ito and Sung-Kil Yang

The WDVV Equations in N=2 Supersymmetric Yang-Mills Theory

a footnote added, 14 pages, Latex, no figures, to appear in Phys. Lett. B

Phys.Lett. B433 (1998) 56-62

10.1016/S0370-2693(98)00669-8

UTHEP-381

hep-th

null

We present a simple proof of the WDVV equations for the prepotential of four-dimensional N=2 supersymmetric Yang-Mills theory with all ADE gauge groups. According to our proof it is clearly seen that the WDVV equations in four dimensions have their origin in the associativity of the chiral ring in two-dimensional topological Landau-Ginzburg models. The WDVV equations for the BC gauge groups are also studied in the Landau-Ginzburg framework. We speculate about the topological field theoretic interpretation of the Seiberg-Witten solution of N=2 Yang-Mills theory.

[ { "created": "Mon, 16 Mar 1998 05:02:07 GMT", "version": "v1" }, { "created": "Mon, 8 Jun 1998 06:51:47 GMT", "version": "v2" } ]

2009-10-31

[ [ "Ito", "Katsushi", "" ], [ "Yang", "Sung-Kil", "" ] ]

We present a simple proof of the WDVV equations for the prepotential of four-dimensional N=2 supersymmetric Yang-Mills theory with all ADE gauge groups. According to our proof it is clearly seen that the WDVV equations in four dimensions have their origin in the associativity of the chiral ring in two-dimensional topological Landau-Ginzburg models. The WDVV equations for the BC gauge groups are also studied in the Landau-Ginzburg framework. We speculate about the topological field theoretic interpretation of the Seiberg-Witten solution of N=2 Yang-Mills theory.

6.079079

5.457036

6.797046

5.671862

5.223221

5.629543

4.933598

5.589118

5.212679

7.108388

5.218759

5.554795

6.206466

5.978897

5.655863

5.435229

5.749863

5.550364

5.605133

6.278542

5.64705

0805.2005

Yoshifumi Hyakutake

Kyosuke Hotta, Yoshifumi Hyakutake, Takahiro Kubota and Hiroaki Tanida

Brown-Henneaux's Canonical Approach to Topologically Massive Gravity

29 pages, no figure, references added

JHEP 0807:066,2008

10.1088/1126-6708/2008/07/066

null

hep-th

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

We analyze the symmetry realized asymptotically on the two dimensional boundary of AdS_3 geometry in topologically massive gravity, which consists of the gravitational Chern-Simons term as well as the usual Einstein-Hilbert and negative cosmological constant terms. Our analysis is based on the conventional canonical method and proceeds along the line completely parallel to the original Brown and Henneaux's. In spite of the presence of the gravitational Chern-Simons term, it is confirmed by the canonical method that the boundary theory actually has the conformal symmetry satisfying the left and right moving Virasoro algebras. The central charges of the Virasoro algebras are computed explicitly and are shown to be left-right asymmetric due to the gravitational Chern-Simons term. It is also argued that the Cardy's formula for the BTZ black hole entropy capturing all higher derivative corrections agrees with the extended version of the Wald's entropy formula. The M5-brane system is illustrated as an application of the present calculation.

[ { "created": "Wed, 14 May 2008 08:58:45 GMT", "version": "v1" }, { "created": "Wed, 21 May 2008 08:25:33 GMT", "version": "v2" }, { "created": "Tue, 22 Jul 2008 06:12:45 GMT", "version": "v3" } ]

2014-11-18

[ [ "Hotta", "Kyosuke", "" ], [ "Hyakutake", "Yoshifumi", "" ], [ "Kubota", "Takahiro", "" ], [ "Tanida", "Hiroaki", "" ] ]

We analyze the symmetry realized asymptotically on the two dimensional boundary of AdS_3 geometry in topologically massive gravity, which consists of the gravitational Chern-Simons term as well as the usual Einstein-Hilbert and negative cosmological constant terms. Our analysis is based on the conventional canonical method and proceeds along the line completely parallel to the original Brown and Henneaux's. In spite of the presence of the gravitational Chern-Simons term, it is confirmed by the canonical method that the boundary theory actually has the conformal symmetry satisfying the left and right moving Virasoro algebras. The central charges of the Virasoro algebras are computed explicitly and are shown to be left-right asymmetric due to the gravitational Chern-Simons term. It is also argued that the Cardy's formula for the BTZ black hole entropy capturing all higher derivative corrections agrees with the extended version of the Wald's entropy formula. The M5-brane system is illustrated as an application of the present calculation.

7.315282

6.962281

7.717768

6.854446

6.602168

6.791644

7.333699

6.905601

6.794533

8.909414

6.689454

6.880317

7.242994

7.061969

6.884482

7.169673

7.075079

7.029616

6.861183

7.276865

6.955374

hep-th/0607219

Fernando Marchesano

A. Font, L. E. Ibanez, and F. Marchesano

Coisotropic D8-branes and Model-building

63 pages, 11 figures. Typos corrected and comments added

JHEP0609:080,2006

10.1088/1126-6708/2006/09/080

IFT-UAM/CSIC-06-34, LMU-ASC 51/06

hep-th hep-ph

null

Up to now chiral type IIA vacua have been mostly based on intersecting D6-branes wrapping special Lagrangian 3-cycles on a CY three-fold. We argue that there are additional BPS D-branes which have so far been neglected, and which seem to have interesting model-building features. They are coisotropic D8-branes, in the sense of Kapustin and Orlov. The D8-branes wrap 5-dimensional submanifolds of the CY which are trivial in homology, but contain a worldvolume flux that induces D6-brane charge on them. This induced D6-brane charge not only renders the D8-brane BPS, but also creates D=4 chirality when two D8-branes intersect. We discuss in detail the case of a type IIA Z2 x Z2 orientifold, where we provide explicit examples of coisotropic D8-branes. We study the chiral spectrum, SUSY conditions, and effective field theory of different systems of D8-branes in this orientifold, and show how the magnetic fluxes generate a superpotential for untwisted Kahler moduli. Finally, using both D6-branes and coisotropic D8-branes we construct new examples of MSSM-like type IIA vacua.

[ { "created": "Wed, 26 Jul 2006 20:34:28 GMT", "version": "v1" }, { "created": "Wed, 23 Aug 2006 05:35:38 GMT", "version": "v2" } ]

2009-11-11

[ [ "Font", "A.", "" ], [ "Ibanez", "L. E.", "" ], [ "Marchesano", "F.", "" ] ]

Up to now chiral type IIA vacua have been mostly based on intersecting D6-branes wrapping special Lagrangian 3-cycles on a CY three-fold. We argue that there are additional BPS D-branes which have so far been neglected, and which seem to have interesting model-building features. They are coisotropic D8-branes, in the sense of Kapustin and Orlov. The D8-branes wrap 5-dimensional submanifolds of the CY which are trivial in homology, but contain a worldvolume flux that induces D6-brane charge on them. This induced D6-brane charge not only renders the D8-brane BPS, but also creates D=4 chirality when two D8-branes intersect. We discuss in detail the case of a type IIA Z2 x Z2 orientifold, where we provide explicit examples of coisotropic D8-branes. We study the chiral spectrum, SUSY conditions, and effective field theory of different systems of D8-branes in this orientifold, and show how the magnetic fluxes generate a superpotential for untwisted Kahler moduli. Finally, using both D6-branes and coisotropic D8-branes we construct new examples of MSSM-like type IIA vacua.

6.534706

6.646465

8.186994

6.439568

6.723587

6.782469

6.904466

6.29857

6.540507

7.8778

6.43383

6.395901

6.90877

6.496491

6.431635

6.119159

6.295768

6.389833

6.415662

6.753355

6.313533

hep-th/0308089

Louise Dolan

Louise Dolan, Chiara R. Nappi and Edward Witten

A Relation Between Approaches to Integrability in Superconformal Yang-Mills Theory

19 pages, harvmac

JHEP 0310:017,2003

10.1088/1126-6708/2003/10/017

null

hep-th

null

We make contact between the infinite-dimensional non-local symmetry of the typeIIB superstring on AdS5xS5 worldsheet theory and a non-abelian infinite-dimensional symmetry algebra for the weakly coupled superconformal gauge theory. We explain why the planar limit of the one-loop dilatation operator is the Hamiltonian of a spin chain, and show that it commutes with the g*2 N = 0 limit of the non-abelian charges.

[ { "created": "Wed, 13 Aug 2003 19:49:28 GMT", "version": "v1" }, { "created": "Wed, 13 Aug 2003 20:32:16 GMT", "version": "v2" }, { "created": "Mon, 15 Sep 2003 18:14:29 GMT", "version": "v3" } ]

2010-04-07

[ [ "Dolan", "Louise", "" ], [ "Nappi", "Chiara R.", "" ], [ "Witten", "Edward", "" ] ]

We make contact between the infinite-dimensional non-local symmetry of the typeIIB superstring on AdS5xS5 worldsheet theory and a non-abelian infinite-dimensional symmetry algebra for the weakly coupled superconformal gauge theory. We explain why the planar limit of the one-loop dilatation operator is the Hamiltonian of a spin chain, and show that it commutes with the g*2 N = 0 limit of the non-abelian charges.

11.556406

9.730993

9.751118

8.57169

8.596534

8.288038

8.645741

9.747944

8.388155

10.497315

8.884188

9.093962

8.669375

8.859184

9.20754

9.618502

9.262523

9.300285

8.928614

9.062914

8.996772

hep-th/0301004

Robert Delbourgo

R Delbourgo and M L Roberts

Relativistic phase space: dimensional recurrences

13 pages, Latex, to appear in J Phys A

J.Phys.A36:1719-1728,2003

10.1088/0305-4470/36/6/315

UTAS-PHYS-03-01

hep-th

null

We derive recurrence relations between phase space expressions in different dimensions by confining some of the coordinates to tori or spheres of radius $R$ and taking the limit as $R \to \infty$. These relations take the form of mass integrals, associated with extraneous momenta (relative to the lower dimension), and produce the result in the higher dimension.

[ { "created": "Wed, 1 Jan 2003 23:57:06 GMT", "version": "v1" } ]

2008-11-26

[ [ "Delbourgo", "R", "" ], [ "Roberts", "M L", "" ] ]

We derive recurrence relations between phase space expressions in different dimensions by confining some of the coordinates to tori or spheres of radius $R$ and taking the limit as $R \to \infty$. These relations take the form of mass integrals, associated with extraneous momenta (relative to the lower dimension), and produce the result in the higher dimension.

15.316782

18.197861

14.955695

14.755558

15.185528

15.387652

16.352865

16.5718

13.638077

15.564667

15.345351

15.262317

14.337835

14.244209

13.647943

13.949468

13.770112

14.157229

13.988276

14.725128

14.458717

1912.12951

Greg Kaplanek

Greg Kaplanek and C.P. Burgess

Hot Accelerated Qubits: Decoherence, Thermalization, Secular Growth and Reliable Late-time Predictions

28 pages plus appendices, 1 figure; v2) now published in JHEP, typos fixed and references added

JHEP 03 (2020) 008

10.1007/JHEP03(2020)008

null

hep-th gr-qc

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

We compute how an accelerating qubit coupled to a scalar field - i.e. an Unruh-DeWitt detector - evolves in flat space, with an emphasis on its late-time behaviour. When calculable, the qubit evolves towards a thermal state for a field prepared in the Minkowski vacuum, with the approach to this limit controlled by two different time-scales. For a free field we compute both of these as functions of the difference between qubit energy levels, the dimensionless qubit/field coupling constant, the scalar field mass and the qubit's proper acceleration. Both time-scales differ from the Candelas-Deutsch-Sciama transition rate traditionally computed for Unruh-DeWitt detectors, which we show describes the qubit's early-time evolution away from the vacuum rather than its late-time approach to equilibrium. For small enough couplings and sufficiently late times the evolution is Markovian and described by a Lindblad equation, which we derive in detail from first principles as a special instance of Open EFT methods designed to handle a breakdown of late-time perturbative predictions due to the presence of secular growth. We show how this growth is resummed in this example to give reliable information about late-time evolution including both qubit/field interactions and field self-interactions. By allowing very explicit treatment, the qubit/field system allows a systematic assessment of the approximations needed when exploring late-time evolution, in a way that lends itself to gravitational applications. It also allows a comparison of these approximations with those - e.g. the `rotating-wave' approximation - widely made in the open-system literature (which is aimed more at atomic transitions and lasers).

[ { "created": "Mon, 30 Dec 2019 15:04:08 GMT", "version": "v1" }, { "created": "Tue, 3 Mar 2020 18:18:10 GMT", "version": "v2" } ]

2020-03-04

[ [ "Kaplanek", "Greg", "" ], [ "Burgess", "C. P.", "" ] ]

We compute how an accelerating qubit coupled to a scalar field - i.e. an Unruh-DeWitt detector - evolves in flat space, with an emphasis on its late-time behaviour. When calculable, the qubit evolves towards a thermal state for a field prepared in the Minkowski vacuum, with the approach to this limit controlled by two different time-scales. For a free field we compute both of these as functions of the difference between qubit energy levels, the dimensionless qubit/field coupling constant, the scalar field mass and the qubit's proper acceleration. Both time-scales differ from the Candelas-Deutsch-Sciama transition rate traditionally computed for Unruh-DeWitt detectors, which we show describes the qubit's early-time evolution away from the vacuum rather than its late-time approach to equilibrium. For small enough couplings and sufficiently late times the evolution is Markovian and described by a Lindblad equation, which we derive in detail from first principles as a special instance of Open EFT methods designed to handle a breakdown of late-time perturbative predictions due to the presence of secular growth. We show how this growth is resummed in this example to give reliable information about late-time evolution including both qubit/field interactions and field self-interactions. By allowing very explicit treatment, the qubit/field system allows a systematic assessment of the approximations needed when exploring late-time evolution, in a way that lends itself to gravitational applications. It also allows a comparison of these approximations with those - e.g. the `rotating-wave' approximation - widely made in the open-system literature (which is aimed more at atomic transitions and lasers).

11.349053

12.965829

12.300117

11.630757

13.030223

13.117953

12.667639

12.311489

12.095963

13.795576

12.0249

11.41313

11.454584

11.203987

11.666821

11.627084

11.364775

11.140722

11.335589

11.424736

11.388216

0810.1737

Michael Kiermaier

Michael Kiermaier, Yuji Okawa, Barton Zwiebach

The boundary state from open string fields

85 pages, 8 figures, LaTeX2e

null

MIT-CTP-3990, UT-Komaba/08-14, IPMU 08-0074

hep-th

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

We construct a class of BRST-invariant closed string states for any classical solution of open string field theory. The closed string state is a nonlinear functional of the open string field and changes by a BRST-exact term under a gauge transformation of the solution. As a result, its contraction with an on-shell closed string state provides a gauge-invariant observable of open string field theory. Unlike previously known observables, however, the contraction with off-shell closed string states in the Fock space is well defined and regular. Moreover, we claim that the BRST-invariant closed string state coincides, up to a possible BRST-exact term, with the boundary state of the boundary conformal field theory which the solution is expected to describe. Our construction requires a choice of a propagator strip. If we choose the Schnabl propagator strip, the BRST-invariant state becomes explicitly calculable. We calculate it for various known analytic solutions of open string field theory and, remarkably, we find that it precisely coincides with the boundary state without any additional BRST-exact term. Our results imply, in particular, that the wildly oscillatory rolling tachyon solution of open string field theory actually describes the regular closed string physics studied by Sen using the boundary state.

[ { "created": "Fri, 10 Oct 2008 17:11:09 GMT", "version": "v1" } ]

2008-10-13

[ [ "Kiermaier", "Michael", "" ], [ "Okawa", "Yuji", "" ], [ "Zwiebach", "Barton", "" ] ]

We construct a class of BRST-invariant closed string states for any classical solution of open string field theory. The closed string state is a nonlinear functional of the open string field and changes by a BRST-exact term under a gauge transformation of the solution. As a result, its contraction with an on-shell closed string state provides a gauge-invariant observable of open string field theory. Unlike previously known observables, however, the contraction with off-shell closed string states in the Fock space is well defined and regular. Moreover, we claim that the BRST-invariant closed string state coincides, up to a possible BRST-exact term, with the boundary state of the boundary conformal field theory which the solution is expected to describe. Our construction requires a choice of a propagator strip. If we choose the Schnabl propagator strip, the BRST-invariant state becomes explicitly calculable. We calculate it for various known analytic solutions of open string field theory and, remarkably, we find that it precisely coincides with the boundary state without any additional BRST-exact term. Our results imply, in particular, that the wildly oscillatory rolling tachyon solution of open string field theory actually describes the regular closed string physics studied by Sen using the boundary state.

7.2564

7.435369

9.026094

6.957502

7.607653

7.121759

7.598603

7.17724

6.823773

8.414804

6.973888

7.554332

7.304152

7.062231

7.556437

7.349843

7.282251

7.219537

7.188591

7.392406

7.031859

hep-th/9310054

Jens-Mund

J. Mund and R. Schrader

Hilbert Spaces for Nonrelativistic and Relativistic "Free" Plektons (Particles with Braid Group Statistics)

26 pages, standard LaTeX, 3 figures on request. An error in the appendix has been corrected, thanks to D.R.Grigore

null

SFB 288 preprint No. 74

hep-th

null

Using the theory of fibre bundles, we provide several equivalent intrinsic descriptions for the Hilbert spaces of $n$ ``free'' nonrelativistic and relativistic plektons in two space dimensions. These spaces carry a ray representation of the Galilei group and a unitary representation of the Poincar\'{e} group respectively. In the relativistic case we also discuss the situation where the braid group is replaced by the ribbon braid group.

[ { "created": "Fri, 8 Oct 1993 16:08:02 GMT", "version": "v1" }, { "created": "Thu, 3 Feb 1994 17:23:18 GMT", "version": "v2" } ]

2008-02-03

[ [ "Mund", "J.", "" ], [ "Schrader", "R.", "" ] ]

Using the theory of fibre bundles, we provide several equivalent intrinsic descriptions for the Hilbert spaces of $n$ ``free'' nonrelativistic and relativistic plektons in two space dimensions. These spaces carry a ray representation of the Galilei group and a unitary representation of the Poincar\'{e} group respectively. In the relativistic case we also discuss the situation where the braid group is replaced by the ribbon braid group.

9.209534

8.706179

9.730446

8.181607

9.288419

8.919997

8.861332

8.441961

7.745424

11.802924

8.093161

8.248553

8.600845

8.054347

8.36064

8.245857

8.236569

8.319672

8.062185

8.699244

8.421865

1911.12821

Alexander Tyukov

Iosif Bena and Alexander Tyukov

BTZ Trailing Strings

16 pages, 2 figures

null

hep-th

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

We compute holographically the energy loss of a moving quark in various states of the D1-D5 CFT. In the dual bulk geometries, the quark is the end of a trailing string, and the profile of this string determines the drag force exerted by the medium on the quark. We find no drag force when the CFT state has no momentum, and a nontrivial force for any value of the velocity (even at rest) when the string extends in the supersymmetric D1-D5-P black-hole geometry, or a horizonless microstate geometry thereof. As the length of the throat of the microstate geometry increases, the drag force approaches the thermal BTZ expression, confirming the ability of these microstate geometries to capture typical black-hole physics. We also find that when the D1-D5-P black hole is non-extremal, there is a special value of the velocity at which a moving quark feels no force. We compute this velocity holographically and we compare it to the velocity computed in the CFT.

[ { "created": "Thu, 28 Nov 2019 18:28:12 GMT", "version": "v1" }, { "created": "Mon, 3 Feb 2020 14:27:44 GMT", "version": "v2" } ]

2020-02-04

[ [ "Bena", "Iosif", "" ], [ "Tyukov", "Alexander", "" ] ]

We compute holographically the energy loss of a moving quark in various states of the D1-D5 CFT. In the dual bulk geometries, the quark is the end of a trailing string, and the profile of this string determines the drag force exerted by the medium on the quark. We find no drag force when the CFT state has no momentum, and a nontrivial force for any value of the velocity (even at rest) when the string extends in the supersymmetric D1-D5-P black-hole geometry, or a horizonless microstate geometry thereof. As the length of the throat of the microstate geometry increases, the drag force approaches the thermal BTZ expression, confirming the ability of these microstate geometries to capture typical black-hole physics. We also find that when the D1-D5-P black hole is non-extremal, there is a special value of the velocity at which a moving quark feels no force. We compute this velocity holographically and we compare it to the velocity computed in the CFT.

7.596552

7.636801

9.173268

7.114692

7.682189

7.252958

7.579508

7.610552

7.245655

9.9378

6.975838

7.327297

8.033326

7.354383

7.410516

7.394462

7.523403

7.263564

7.327447

8.086788

7.324404

1007.3756

George Savvidy K

George Georgiou and George Savvidy

Production of non-Abelian tensor gauge bosons. Tree amplitudes in generalized Yang-Mills theory and BCFW recursion relation

19 pages, LaTex file

Int.J.Mod.Phys.A26:2537-2555,2011

10.1142/S0217751X1105350X

NRCPS-HE-56-10, added references and comments,

hep-th hep-ph

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

The BCFW recursion relation allows to calculate tree-level scattering amplitudes in generalized Yang-Mills theory and, in particular, four-particle amplitudes for the production rate of non-Abelian tensor gauge bosons of arbitrary high spin in the fusion of two gluons. The consistency of the calculations in different kinematical channels is fulfilled when all dimensionless cubic coupling constants between vector bosons (gluons) and high spin non-Abelian tensor gauge bosons are equal to the Yang-Mills coupling constant. There are no high derivative cubic vertices in the generalized Yang-Mills theory. The amplitudes vanish as complex deformation parameter tends to infinity, so that there is no contribution from the contour at infinity. We derive a generalization of the Parke-Taylor formula in the case of production of two tensor gauge bosons of spin-s and N gluons (jets). The expression is holomorhic in the spinor variables of the scattered particles, exactly as the MHV gluon amplitude is, and reduces to the gluonic MHV amplitude when s=1. In generalized Yang-Mills theory the tree level n-particle scattering amplitudes with all positive helicities vanish, but tree amplitudes with one negative helicity particle are already nonzero.

[ { "created": "Wed, 21 Jul 2010 20:36:22 GMT", "version": "v1" }, { "created": "Fri, 23 Jul 2010 16:11:11 GMT", "version": "v2" }, { "created": "Wed, 13 Jul 2011 09:07:52 GMT", "version": "v3" } ]

2011-07-14

[ [ "Georgiou", "George", "" ], [ "Savvidy", "George", "" ] ]

The BCFW recursion relation allows to calculate tree-level scattering amplitudes in generalized Yang-Mills theory and, in particular, four-particle amplitudes for the production rate of non-Abelian tensor gauge bosons of arbitrary high spin in the fusion of two gluons. The consistency of the calculations in different kinematical channels is fulfilled when all dimensionless cubic coupling constants between vector bosons (gluons) and high spin non-Abelian tensor gauge bosons are equal to the Yang-Mills coupling constant. There are no high derivative cubic vertices in the generalized Yang-Mills theory. The amplitudes vanish as complex deformation parameter tends to infinity, so that there is no contribution from the contour at infinity. We derive a generalization of the Parke-Taylor formula in the case of production of two tensor gauge bosons of spin-s and N gluons (jets). The expression is holomorhic in the spinor variables of the scattered particles, exactly as the MHV gluon amplitude is, and reduces to the gluonic MHV amplitude when s=1. In generalized Yang-Mills theory the tree level n-particle scattering amplitudes with all positive helicities vanish, but tree amplitudes with one negative helicity particle are already nonzero.

10.001305

10.723639

10.570691

9.571528

10.160049

9.996566

10.277414

8.992204

9.426263

12.054886

9.713812

9.634389

9.471468

9.365247

9.44396

9.762572

9.305167

9.523469

9.544838

9.817049

9.035163

0910.4732

Ilya F. Ginzburg

I.F. Ginzburg

Lessons from All Logs Summation in Yukawa Theories

6 pages, 2 figures

Mod.Phys.Lett.A24:2825-2830,2009

10.1142/S0217732309001030

null

hep-th

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

Some features of old results in the total summation of all logarithmic contributions of all diagrams in Yukawa theory are presented. We discuss some lessons from this picture for the description of Pomeron, odderon, etc. in QCD.

[ { "created": "Sun, 25 Oct 2009 13:30:36 GMT", "version": "v1" } ]

2014-11-20

[ [ "Ginzburg", "I. F.", "" ] ]

Some features of old results in the total summation of all logarithmic contributions of all diagrams in Yukawa theory are presented. We discuss some lessons from this picture for the description of Pomeron, odderon, etc. in QCD.

34.091957

22.918959

23.308969

18.855427

20.822067

21.401726

23.177082

21.243196

20.778009

22.218033

20.277225

21.946215

21.094793

20.315498

20.700628

22.543829

20.105635

21.480742

20.733242

19.086451

21.585369

1906.10289

Ruth Gregory

Wasif Ahmed, Hong Zhe Chen, Elliott Gesteau, Ruth Gregory, and Andrew Scoins

Conical Holographic Heat Engines

23 pages, 9 figures

null

10.1088/1361-6382/ab470b

DCPT-19/17

hep-th gr-qc

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

We demonstrate that adding a conical deficit to a black hole holographic heat engine increases its efficiency; in contrast, allowing a black hole to accelerate {\it decreases} efficiency if the same average conical deficit is maintained. Adding other charges to the black hole does not change this qualitative effect. We also present a simple formula to calculate the efficiency of elliptical cycles for any $C_V\neq 0$ black hole, which allows a more efficient numerical algorithm for computation.

[ { "created": "Tue, 25 Jun 2019 01:40:40 GMT", "version": "v1" } ]

2020-01-08

[ [ "Ahmed", "Wasif", "" ], [ "Chen", "Hong Zhe", "" ], [ "Gesteau", "Elliott", "" ], [ "Gregory", "Ruth", "" ], [ "Scoins", "Andrew", "" ] ]

We demonstrate that adding a conical deficit to a black hole holographic heat engine increases its efficiency; in contrast, allowing a black hole to accelerate {\it decreases} efficiency if the same average conical deficit is maintained. Adding other charges to the black hole does not change this qualitative effect. We also present a simple formula to calculate the efficiency of elliptical cycles for any $C_V\neq 0$ black hole, which allows a more efficient numerical algorithm for computation.

19.470182

16.345299

18.140078

16.207001

18.345945

18.31357

15.791049

16.200804

15.911668

18.283333

17.288794

16.839907

16.884295

15.819066

16.253431

16.51791

17.008018

15.894617

16.895967

16.833624

16.347185

2309.00511

Akash Jain

Akash Jain and Pavel Kovtun

Schwinger-Keldysh effective field theory for stable and causal relativistic hydrodynamics

47+1 pages

null

hep-th cond-mat.stat-mech hep-ph nucl-th physics.flu-dyn

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

We construct stable and causal effective field theories (EFTs) for describing statistical fluctuations in relativistic diffusion and relativistic hydrodynamics. These EFTs are fully non-linear, including couplings to background sources, and enable us to compute n-point time-ordered correlation functions including the effects of statistical fluctuations. The EFTs we construct are inspired by the Maxwell-Cattaneo model of relativistic diffusion and M\"uller-Israel-Stewart model of relativistic hydrodynamics respectively, and have been derived using both the Martin-Siggia-Rose and Schwinger-Keldysh formalisms. The EFTs non-linearly realise the dynamical Kubo-Martin-Schwinger (KMS) symmetry, which ensures that n-point correlation functions and interactions in the theory satisfy the appropriate fluctuation-dissipation theorems. Since these EFTs typically admit ultraviolet sectors that are not fixed by the low-energy infrared symmetries, we find that they simultaneously admit multiple realisations of the dynamical KMS symmetry. We also comment on certain obstructions to including statistical fluctuations in the recently-proposed stable and causal Bemfica-Disconzi-Noronha-Kovtun model of relativistic hydrodynamics.

[ { "created": "Fri, 1 Sep 2023 14:59:05 GMT", "version": "v1" } ]

2023-09-04

[ [ "Jain", "Akash", "" ], [ "Kovtun", "Pavel", "" ] ]

We construct stable and causal effective field theories (EFTs) for describing statistical fluctuations in relativistic diffusion and relativistic hydrodynamics. These EFTs are fully non-linear, including couplings to background sources, and enable us to compute n-point time-ordered correlation functions including the effects of statistical fluctuations. The EFTs we construct are inspired by the Maxwell-Cattaneo model of relativistic diffusion and M\"uller-Israel-Stewart model of relativistic hydrodynamics respectively, and have been derived using both the Martin-Siggia-Rose and Schwinger-Keldysh formalisms. The EFTs non-linearly realise the dynamical Kubo-Martin-Schwinger (KMS) symmetry, which ensures that n-point correlation functions and interactions in the theory satisfy the appropriate fluctuation-dissipation theorems. Since these EFTs typically admit ultraviolet sectors that are not fixed by the low-energy infrared symmetries, we find that they simultaneously admit multiple realisations of the dynamical KMS symmetry. We also comment on certain obstructions to including statistical fluctuations in the recently-proposed stable and causal Bemfica-Disconzi-Noronha-Kovtun model of relativistic hydrodynamics.

7.632804

7.272847

8.088407

6.802739

7.091539

7.201352

7.2496

6.771348

7.512306

8.424471

6.854789

7.375377

8.072891

7.581172

7.753397

7.416535

7.629543

7.239342

7.320867

7.590867

7.275781

1104.4054

Janos Balog

Janos Balog and Arpad Hegedus

$AdS_5\times S^5$ mirror TBA equations from Y-system and discontinuity relations

67 pages, 4 figures; appendices added (published version)

null

10.1007/JHEP08(2011)095

null

hep-th

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

Using the recently proposed set of discontinuity relations we translate the AdS/CFT Y-system to TBA integral equations and quantization conditions for a large subset of excited states from the sl(2) sector of the $AdS_5 \times S^5$ string sigma-model. Our derivation provides an analytic proof of the fact that the exact Bethe equations reduce to the Beisert-Staudacher equations in the asymptotic limit. We also construct the corresponding T-system and show that in the language of T-functions the energy formula reduces to a single term which depends on a single T-function.

[ { "created": "Wed, 20 Apr 2011 15:25:32 GMT", "version": "v1" }, { "created": "Thu, 16 Feb 2012 10:02:31 GMT", "version": "v2" } ]

2015-05-27

[ [ "Balog", "Janos", "" ], [ "Hegedus", "Arpad", "" ] ]

Using the recently proposed set of discontinuity relations we translate the AdS/CFT Y-system to TBA integral equations and quantization conditions for a large subset of excited states from the sl(2) sector of the $AdS_5 \times S^5$ string sigma-model. Our derivation provides an analytic proof of the fact that the exact Bethe equations reduce to the Beisert-Staudacher equations in the asymptotic limit. We also construct the corresponding T-system and show that in the language of T-functions the energy formula reduces to a single term which depends on a single T-function.

10.36932

8.923777

12.272898

9.029405

9.121475

9.329845

8.783298

9.317013

8.484958

14.168298

9.565259

9.616222

9.727808

9.282846

9.336821

9.454212

9.722788

9.514196

9.193701

10.02867

9.493298

0711.0116

Minoru Eto

Roberto Auzzi, Minoru Eto, Walter Vinci

Static Interactions of non-Abelian Vortices

36 pages, 13 figures; v2 a small comment and a reference added

JHEP0802:100,2008

10.1088/1126-6708/2008/02/100

IFUP-TH/2007-29

hep-th

null

Interactions between non-BPS non-Abelian vortices are studied in non-Abelian U(1) x SU(N) extensions of the Abelian-Higgs model in four dimensions. The distinctive feature of a non-Abelian vortex is the presence of an internal CP^{N-1} space of orientational degrees of freedom. For fine-tuned values of the couplings, the vortices are BPS and there is no net force between two static parallel vortices at arbitrary distance. On the other hand, for generic values of the couplings the interactions between two vortices depend non-trivially on their relative internal orientations. We discuss the problem both with a numerical approach (valid for small deviations from the BPS limit) and in a semi-analytical way (valid at large vortex separations). The interactions can be classified with respect to their asymptotic property at large vortex separation. In a simpler fine-tuned model, we find two regimes which are quite similar to the usual type I/II Abelian superconductors. In the generic model we find other two new regimes: type I*/II*. Unlike the type I (type II) case, where the interaction is always attractive (repulsive), the type I* and II* have both attractive and repulsive interactions depending on the relative orientation. We have found a rich variety of interactions at small vortex separations. For some values of the couplings, a bound state of two static vortices at a non-zero distance exists.

[ { "created": "Thu, 1 Nov 2007 13:58:02 GMT", "version": "v1" }, { "created": "Thu, 22 Nov 2007 18:59:28 GMT", "version": "v2" } ]

2008-11-26

[ [ "Auzzi", "Roberto", "" ], [ "Eto", "Minoru", "" ], [ "Vinci", "Walter", "" ] ]

Interactions between non-BPS non-Abelian vortices are studied in non-Abelian U(1) x SU(N) extensions of the Abelian-Higgs model in four dimensions. The distinctive feature of a non-Abelian vortex is the presence of an internal CP^{N-1} space of orientational degrees of freedom. For fine-tuned values of the couplings, the vortices are BPS and there is no net force between two static parallel vortices at arbitrary distance. On the other hand, for generic values of the couplings the interactions between two vortices depend non-trivially on their relative internal orientations. We discuss the problem both with a numerical approach (valid for small deviations from the BPS limit) and in a semi-analytical way (valid at large vortex separations). The interactions can be classified with respect to their asymptotic property at large vortex separation. In a simpler fine-tuned model, we find two regimes which are quite similar to the usual type I/II Abelian superconductors. In the generic model we find other two new regimes: type I*/II*. Unlike the type I (type II) case, where the interaction is always attractive (repulsive), the type I* and II* have both attractive and repulsive interactions depending on the relative orientation. We have found a rich variety of interactions at small vortex separations. For some values of the couplings, a bound state of two static vortices at a non-zero distance exists.

6.214365

5.670794

6.580019

5.783625

6.216634

5.9739

6.120084

5.841705

5.671089

7.496346

5.862111

5.906628

6.076318

5.863149

5.864394

6.133051

6.045782

5.965942

5.797839

6.295366

5.842972

2202.09347

Davoud Kamani

Hamidreza Daniali and Davoud Kamani

Radiation of Closed Strings between the Parallel Dynamical-Dressed Unstable Dp-Branes

19 pages, Latex, No figure

Nucl. Phys. B 975 (2022) 115683

10.1016/j.nuclphysb.2022.115683

null

hep-th

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

We introduce a boundary state which is corresponding to a D$p$-brane with tangential dynamics in the presence of the Kalb-Ramond field, a tachyonic field and a $U(1)$ gauge potential in a special gauge. From the interaction of such branes radiation amplitude of a general massless closed string will be computed. The effects of the large distances of the branes on this radiation will be studied. In the large distances of the branes, the possibility of axion radiation will be investigated. Our calculations will be in the context of the bosonic string theory.

[ { "created": "Fri, 18 Feb 2022 18:33:46 GMT", "version": "v1" } ]

2022-02-23

[ [ "Daniali", "Hamidreza", "" ], [ "Kamani", "Davoud", "" ] ]

We introduce a boundary state which is corresponding to a D$p$-brane with tangential dynamics in the presence of the Kalb-Ramond field, a tachyonic field and a $U(1)$ gauge potential in a special gauge. From the interaction of such branes radiation amplitude of a general massless closed string will be computed. The effects of the large distances of the branes on this radiation will be studied. In the large distances of the branes, the possibility of axion radiation will be investigated. Our calculations will be in the context of the bosonic string theory.

12.097506

7.017819

11.140895

8.759111

8.436312

8.099036

8.178628

8.017043

8.189802

10.785964

8.872278

9.666889

11.324225

10.516489

10.607511

10.035124

10.009826

10.183899

9.971649

11.066039

10.535143

0903.4245

Masahito Yamazaki

Sakura Schafer-Nameki, Masahito Yamazaki, Kentaroh Yoshida

Coset Construction for Duals of Non-relativistic CFTs

12 pages; v2: typos corrected, references added

JHEP 0905:038,2009

10.1088/1126-6708/2009/05/038

CALT-68-2724, IPMU09-0036, UT-09-09, KUNS-2198

hep-th

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

We systematically analyze backgrounds that are holographic duals to non-relativistic CFTs, by constructing them as cosets of the Schrodinger group and variants thereof. These cosets G/H are generically non-reductive and we discuss in generality how a metric on such spaces can be determined from a non-degenerate H-invariant symmetric two-form. Applying this to the d=2 Schrodinger algebra, we reproduce the five-dimensional backgrounds proposed as duals of fermions at unitarity, and under reasonable physical assumptions, we demonstrate uniqueness of this background. The proposed gravity dual of the Lifshitz fixed-point, for which Galileian symmetry is absent, also fits into this organizational scheme and uniqueness of this background can also be shown.

[ { "created": "Wed, 25 Mar 2009 06:57:12 GMT", "version": "v1" }, { "created": "Thu, 14 May 2009 10:08:52 GMT", "version": "v2" } ]

2010-01-15

[ [ "Schafer-Nameki", "Sakura", "" ], [ "Yamazaki", "Masahito", "" ], [ "Yoshida", "Kentaroh", "" ] ]

We systematically analyze backgrounds that are holographic duals to non-relativistic CFTs, by constructing them as cosets of the Schrodinger group and variants thereof. These cosets G/H are generically non-reductive and we discuss in generality how a metric on such spaces can be determined from a non-degenerate H-invariant symmetric two-form. Applying this to the d=2 Schrodinger algebra, we reproduce the five-dimensional backgrounds proposed as duals of fermions at unitarity, and under reasonable physical assumptions, we demonstrate uniqueness of this background. The proposed gravity dual of the Lifshitz fixed-point, for which Galileian symmetry is absent, also fits into this organizational scheme and uniqueness of this background can also be shown.

14.164528

13.221492

16.33704

14.060263

12.736131

13.295356

14.118459

13.371383

12.322604

18.204865

12.907874

12.606774

14.145794

13.100029

13.472589

12.61393

13.323879

12.674562

13.156573

14.290208

12.82785

hep-th/0504014

Pavlos Pasipoularides

K. Farakos and P. Pasipoularides

Gravity-induced instability and gauge field localization

12 pages,4 figures, minor corrections, references added

Phys.Lett. B621 (2005) 224-232

10.1016/j.physletb.2005.06.058

null

hep-th hep-ph

null

The spectrum of a massless bulk scalar field \Phi, with a possible interaction term of the form -\xi R \Phi^{2}, is investigated in the case of RS-geometry [1]. We show that the zero mode for \xi=0, turns into a tachyon mode, in the case of a nonzero negative value of \xi (\xi<0). As we see, the existence of the tachyon mode destabilizes the \Phi=0 vacuum, against a new stable vacuum with nonzero \Phi near the brane, and zero in the bulk. By using this result, we can construct a simple model for the gauge field localization, according to the philosophy of Dvali and Shifman (Higgs phase on the brane, confinement in the bulk).

[ { "created": "Sun, 3 Apr 2005 05:14:23 GMT", "version": "v1" }, { "created": "Fri, 8 Apr 2005 10:56:31 GMT", "version": "v2" }, { "created": "Sat, 4 Jun 2005 18:03:35 GMT", "version": "v3" } ]

2009-11-11

[ [ "Farakos", "K.", "" ], [ "Pasipoularides", "P.", "" ] ]

The spectrum of a massless bulk scalar field \Phi, with a possible interaction term of the form -\xi R \Phi^{2}, is investigated in the case of RS-geometry [1]. We show that the zero mode for \xi=0, turns into a tachyon mode, in the case of a nonzero negative value of \xi (\xi<0). As we see, the existence of the tachyon mode destabilizes the \Phi=0 vacuum, against a new stable vacuum with nonzero \Phi near the brane, and zero in the bulk. By using this result, we can construct a simple model for the gauge field localization, according to the philosophy of Dvali and Shifman (Higgs phase on the brane, confinement in the bulk).

10.37324

10.961155

10.211676

10.451939

10.788421

10.995774

11.348096

10.042185

9.789665

10.803565

10.07031

9.730098

10.111342

9.982375

9.712655

9.548721

10.182231

9.382872

9.680095

10.35973

9.638268

hep-th/9309094

Kenji Hamada

Ken-ji Hamada

Physical States, Factorization and Nonlinear Structures in Two Dimensional Quantum Gravity

18 pages, LaTex, YITP/U-93-28

Nucl.Phys. B413 (1994) 278-295

10.1016/0550-3213(94)90621-1

null

hep-th

null

The nonlinear structures in 2D quantum gravity coupled to the $(q+1,q)$ minimal model are studied in the Liouville theory to clarify the factorization and the physical states. It is confirmed that the dressed primary states outside the minimal table are identified with the gravitational descendants. Using the discrete states of ghost number zero and one we construct the currents and investigate the Ward identities which are identified with the W and the Virasoro constraints. As nontrivial examples we derive the $L_0$, $L_1$ and $W_{-1}^{(3)}$ equations exactly. $L_n$ and $W^{(k)}_n$ equations are also discussed. We then explicitly show the decoupling of the edge states $O_j ~(j=0~ {\rm mod}~ q) $. We consider the interaction theory perturbed by the cosmological constant $O_1$ and the screening charge $S^+ =O_{2q+1}$. The formalism can be easily generalized to potential models other than the screening charge.

[ { "created": "Fri, 17 Sep 1993 09:36:39 GMT", "version": "v1" } ]

2009-10-22

[ [ "Hamada", "Ken-ji", "" ] ]

The nonlinear structures in 2D quantum gravity coupled to the $(q+1,q)$ minimal model are studied in the Liouville theory to clarify the factorization and the physical states. It is confirmed that the dressed primary states outside the minimal table are identified with the gravitational descendants. Using the discrete states of ghost number zero and one we construct the currents and investigate the Ward identities which are identified with the W and the Virasoro constraints. As nontrivial examples we derive the $L_0$, $L_1$ and $W_{-1}^{(3)}$ equations exactly. $L_n$ and $W^{(k)}_n$ equations are also discussed. We then explicitly show the decoupling of the edge states $O_j ~(j=0~ {\rm mod}~ q) $. We consider the interaction theory perturbed by the cosmological constant $O_1$ and the screening charge $S^+ =O_{2q+1}$. The formalism can be easily generalized to potential models other than the screening charge.

13.238001

12.384878

14.897403

12.706857

13.67937

13.065998

12.495275

12.540009

12.634349

15.992373

13.079141

12.458054

13.048014

12.765001

12.674149

12.834042

12.272635

12.58469

12.383151

13.293932

12.548796

hep-th/9503169

null

L.Accardi, Y.G.Lu and I.Volovich

Stochastic bosonization in arbitrary dimensions

14 pages, Tex

null

CVV-211-95

hep-th

null

A procedure of bosonization of Fermions in an arbitrary dimension is suggested. It is shown that a quadratic expression in the fermionic fields after rescaling time $t\to t/\lambda^2$ and performing the limit $\lambda\to0$ (stochastic limit), gives rise to a bosonic operator satisfying the boson canonical commutation relations. This stochastic bosonization of Fermions is considered first for free fields and then for a model with three--linear couplings. The limiting dynamics of the bosonic theory turns out to be described by means of a quantum stochastic differential equations.

[ { "created": "Fri, 24 Mar 1995 11:49:33 GMT", "version": "v1" } ]

2007-05-23

[ [ "Accardi", "L.", "" ], [ "Lu", "Y. G.", "" ], [ "Volovich", "I.", "" ] ]

A procedure of bosonization of Fermions in an arbitrary dimension is suggested. It is shown that a quadratic expression in the fermionic fields after rescaling time $t\to t/\lambda^2$ and performing the limit $\lambda\to0$ (stochastic limit), gives rise to a bosonic operator satisfying the boson canonical commutation relations. This stochastic bosonization of Fermions is considered first for free fields and then for a model with three--linear couplings. The limiting dynamics of the bosonic theory turns out to be described by means of a quantum stochastic differential equations.

10.744142

10.397388

10.837985

10.135029

10.369081

10.678722

11.232041

10.283317

9.81368

11.29488

10.115533

9.364371

10.030065

9.920567

9.774076

9.617741

9.651657

9.802485

9.570487

10.072994

9.884484

hep-th/0301138

Damien A. Easson

John H. Brodie (Perimeter I.) and Damien A. Easson (Syracuse U.)

Brane inflation and reheating

16 pages, 4 figures; reheating discussion modified; references added; to appear in JCAP

JCAP 0312 (2003) 004

10.1088/1475-7516/2003/12/004

McGill 02-36; SU-GP-03/10-1

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

null

We study inflation and reheating in a brane world model derived from Type IIA string theory. This particular setup is based on a model of string mediated supersymmetry breaking. The inflaton is one of the transverse scalars of a D4-brane which has one of its spatial dimensions stretched between two NS5-branes, so that it is effectively three-dimensional. This D4-brane is attracted to a D6-brane that is separated from the 5-branes by a fixed amount. The potential of the transverse scalar due to the D4/D6 interaction makes a good inflaton potential. As the D4-brane slides along the two 5-branes towards the 6-brane it begins to oscillate near the minimum of the potential. The inflaton field couples to the massless Standard Model fields through Yukawa couplings. In the brane picture these couplings are introduced by having another D6'-brane intersect the D4-brane such that the 4-6' strings, whose lowest lying modes are the Standard Model matter, couple to the scalar mode of the 4-4 strings, the inflaton. The inflaton can decay into scalar and spinor particles on the 4-6' strings, reheating the universe. Observational data is used to place constraints on the parameters of the model.

[ { "created": "Sun, 19 Jan 2003 21:01:54 GMT", "version": "v1" }, { "created": "Fri, 14 Mar 2003 22:25:19 GMT", "version": "v2" }, { "created": "Mon, 3 Nov 2003 16:51:28 GMT", "version": "v3" } ]

2007-05-23

[ [ "Brodie", "John H.", "", "Perimeter I." ], [ "Easson", "Damien A.", "", "Syracuse U." ] ]

We study inflation and reheating in a brane world model derived from Type IIA string theory. This particular setup is based on a model of string mediated supersymmetry breaking. The inflaton is one of the transverse scalars of a D4-brane which has one of its spatial dimensions stretched between two NS5-branes, so that it is effectively three-dimensional. This D4-brane is attracted to a D6-brane that is separated from the 5-branes by a fixed amount. The potential of the transverse scalar due to the D4/D6 interaction makes a good inflaton potential. As the D4-brane slides along the two 5-branes towards the 6-brane it begins to oscillate near the minimum of the potential. The inflaton field couples to the massless Standard Model fields through Yukawa couplings. In the brane picture these couplings are introduced by having another D6'-brane intersect the D4-brane such that the 4-6' strings, whose lowest lying modes are the Standard Model matter, couple to the scalar mode of the 4-4 strings, the inflaton. The inflaton can decay into scalar and spinor particles on the 4-6' strings, reheating the universe. Observational data is used to place constraints on the parameters of the model.

5.921885

6.054874

6.064375

6.033058

6.218152

6.199378

6.295141

5.827181

5.888813

6.525153

5.952909

5.951785

5.950235

5.682823

5.933889

5.810861

5.982972

5.83793

5.891802

6.085871

5.809304

2001.09622

Claudio Coriano

Claudio Corian\`o, Matteo Maria Maglio

The Generalized Hypergeometric Structure of the Ward Identities of CFT's in Momentum Space in $d > 2$

31 pages, 1 figure. Invited contribution to appear in: Axioms (MDPI) "Geometric Analysis and Mathematical Physics" Ed. Sorin Dragomir, revised final version, typos corrected

null

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

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

We review the emergence of hypergeometric structures (of $F_4$ Appell functions) from the conformal Ward identities (CWIs) in conformal field theories (CFTs) in dimensions $d > 2$. We illustrate the case of scalar 3- and 4-point functions. 3-point functions are associated to hypergeometric systems with 4 independent solutions. For symmetric correlators they can be expressed in terms of a single 3K integral - functions of quadratic ratios of momenta - which is a parametric integral of three modified Bessel $K$ functions. In the case of scalar 4-point functions, by requiring the correlator to be conformal invariant in coordinate space as well as in some dual variables (i.e. dual conformal invariant), its explicit expression is also given by a 3K integral, or as a linear combination of Appell functions which are now quartic ratios of momenta. Similar expressions have been obtained in the past in the computation of an infinite class of planar ladder (Feynman) diagrams in perturbation theory, which, however, do not share the same (dual conformal/conformal) symmetry of our solutions. We then discuss some hypergeometric functions of 3 variables, which define 8 particular solutions of the CWIs and correspond to Lauricella functions. They can also be combined in terms of 4K integral and appear in an asymptotic description of the scalar 4-point function, in special kinematical limits.

[ { "created": "Mon, 27 Jan 2020 08:15:29 GMT", "version": "v1" }, { "created": "Sat, 25 Apr 2020 23:59:28 GMT", "version": "v2" }, { "created": "Wed, 29 Apr 2020 13:20:08 GMT", "version": "v3" } ]

2020-04-30

[ [ "Corianò", "Claudio", "" ], [ "Maglio", "Matteo Maria", "" ] ]

We review the emergence of hypergeometric structures (of $F_4$ Appell functions) from the conformal Ward identities (CWIs) in conformal field theories (CFTs) in dimensions $d > 2$. We illustrate the case of scalar 3- and 4-point functions. 3-point functions are associated to hypergeometric systems with 4 independent solutions. For symmetric correlators they can be expressed in terms of a single 3K integral - functions of quadratic ratios of momenta - which is a parametric integral of three modified Bessel $K$ functions. In the case of scalar 4-point functions, by requiring the correlator to be conformal invariant in coordinate space as well as in some dual variables (i.e. dual conformal invariant), its explicit expression is also given by a 3K integral, or as a linear combination of Appell functions which are now quartic ratios of momenta. Similar expressions have been obtained in the past in the computation of an infinite class of planar ladder (Feynman) diagrams in perturbation theory, which, however, do not share the same (dual conformal/conformal) symmetry of our solutions. We then discuss some hypergeometric functions of 3 variables, which define 8 particular solutions of the CWIs and correspond to Lauricella functions. They can also be combined in terms of 4K integral and appear in an asymptotic description of the scalar 4-point function, in special kinematical limits.

9.664389

9.348604

10.178879

9.246515

9.903159

9.5036

9.333818

9.267445

9.398354

11.297334

9.02345

9.439901

9.512135

9.318988

9.561474

9.115002

9.379317

9.010918

9.308526

9.30388

9.127967

hep-th/0106102

Sazzad Nasir

M. L\"ubcke, S. M. Nasir, A. Niemi, K. Torokoff

Twisted Vortices in a Gauge Field Theory

10 pages, 5 figures, title changed, minor revisions, and more references added

Phys.Lett. B534 (2002) 195-200

10.1016/S0370-2693(02)01655-6

null

hep-th astro-ph cond-mat hep-ph physics.plasm-ph

null

We inspect a particular gauge field theory model that describes the properties of a variety of physical systems, including a charge neutral two-component plasma, a Gross-Pitaevskii functional of two charged Cooper pair condensates, and a limiting case of the bosonic sector in the Salam-Weinberg model. It has been argued that this field theory model also admits stable knot-like solitons. Here we produce numerical evidence in support for the existence of these solitons, by considering stable axis-symmetric solutions that can be thought of as straight twisted vortex lines clamped at the two ends. We compute the energy of these solutions as a function of the amount of twist per unit length. The result can be described in terms of a energy spectral function. We find that this spectral function acquires a minimum which corresponds to a nontrivial twist per unit length, strongly suggesting that the model indeed supports stable toroidal solitons.

[ { "created": "Wed, 13 Jun 2001 09:02:40 GMT", "version": "v1" }, { "created": "Thu, 8 Nov 2001 17:19:33 GMT", "version": "v2" } ]

2009-11-07

[ [ "Lübcke", "M.", "" ], [ "Nasir", "S. M.", "" ], [ "Niemi", "A.", "" ], [ "Torokoff", "K.", "" ] ]

We inspect a particular gauge field theory model that describes the properties of a variety of physical systems, including a charge neutral two-component plasma, a Gross-Pitaevskii functional of two charged Cooper pair condensates, and a limiting case of the bosonic sector in the Salam-Weinberg model. It has been argued that this field theory model also admits stable knot-like solitons. Here we produce numerical evidence in support for the existence of these solitons, by considering stable axis-symmetric solutions that can be thought of as straight twisted vortex lines clamped at the two ends. We compute the energy of these solutions as a function of the amount of twist per unit length. The result can be described in terms of a energy spectral function. We find that this spectral function acquires a minimum which corresponds to a nontrivial twist per unit length, strongly suggesting that the model indeed supports stable toroidal solitons.

10.16191

10.267409

10.275189

9.788878

10.582616

9.885722

10.185562

9.656491

9.913719

10.620628

9.711263

9.577525

9.998644

9.542106

9.987401

9.921648

9.417065

9.618323

9.642917

9.894866

9.367943

2005.13547

Evgeny Sobko

Ilija Buri\'c, Volker Schomerus, Evgeny Sobko

The Superconformal Xing Equation

49 pages

null

hep-th

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

Crossing symmetry provides a powerful tool to access the non-perturbative dynamics of conformal and superconformal field theories. Here we develop the mathematical formalism that allows to construct the crossing equations for arbitrary four-point functions in theories with superconformal symmetry of type I, including all superconformal field theories in $d=4$ dimensions. Our advance relies on a supergroup theoretic construction of tensor structures that generalizes an approach which was put forward in \cite{Buric:2019dfk} for bosonic theories. When combined with our recent construction of the relevant superblocks, we are able to derive the crossing symmetry constraint in particular for four-point functions of arbitrary long multiplets in all 4-dimensional superconformal field theories.

[ { "created": "Wed, 27 May 2020 18:00:01 GMT", "version": "v1" } ]

2020-05-29

[ [ "Burić", "Ilija", "" ], [ "Schomerus", "Volker", "" ], [ "Sobko", "Evgeny", "" ] ]

Crossing symmetry provides a powerful tool to access the non-perturbative dynamics of conformal and superconformal field theories. Here we develop the mathematical formalism that allows to construct the crossing equations for arbitrary four-point functions in theories with superconformal symmetry of type I, including all superconformal field theories in $d=4$ dimensions. Our advance relies on a supergroup theoretic construction of tensor structures that generalizes an approach which was put forward in \cite{Buric:2019dfk} for bosonic theories. When combined with our recent construction of the relevant superblocks, we are able to derive the crossing symmetry constraint in particular for four-point functions of arbitrary long multiplets in all 4-dimensional superconformal field theories.

8.238256

9.380847

9.758001

8.646061

9.401923

8.559181

8.946678

8.954629

8.535443

10.227586

8.535995

8.227877

8.482642

7.880792

7.946691

8.076797

7.843246

8.087014

7.863026

8.575292

7.959475

1806.05976

Hossein Ghaffarnejad

Hossein Ghaffarnejad, Emad Yaraie, Mohammad Farsam

Holographic thermalization in AdS-Gauss-Bonnet gravity for small entangled regions

25 pages, 1 figure, General Relativity and Gravitation 2018

General Relativity and Gravitation 2018

10.1007/s10714-018-2492-z

null

hep-th

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

In this paper we study the propagation of entanglement entropy after a global instantaneous quench on the CFT boundary of AdS bulk. We consider the Gauss-Bonnet model as a higher curvature gravity model for which we correct the RT(HRT) proposal to compute the holographic entanglement entropy(HEE). To obtain an analytical solution we perform an approximation approach which bounds our computations to the small subregions and we compare its thermalization regimes to the result of large subsystem case. We can see tsunami picture where the evolution of entanglement breaks down for the large systems and so its details depends just on the shape and size of entangled region and also the used gravity model. We can see the phase transition in this regime is always continuous regardless the shape and size, in contrary with large subregions.

[ { "created": "Wed, 13 Jun 2018 22:25:49 GMT", "version": "v1" }, { "created": "Mon, 3 Dec 2018 16:42:48 GMT", "version": "v2" } ]

2018-12-14

[ [ "Ghaffarnejad", "Hossein", "" ], [ "Yaraie", "Emad", "" ], [ "Farsam", "Mohammad", "" ] ]

In this paper we study the propagation of entanglement entropy after a global instantaneous quench on the CFT boundary of AdS bulk. We consider the Gauss-Bonnet model as a higher curvature gravity model for which we correct the RT(HRT) proposal to compute the holographic entanglement entropy(HEE). To obtain an analytical solution we perform an approximation approach which bounds our computations to the small subregions and we compare its thermalization regimes to the result of large subsystem case. We can see tsunami picture where the evolution of entanglement breaks down for the large systems and so its details depends just on the shape and size of entangled region and also the used gravity model. We can see the phase transition in this regime is always continuous regardless the shape and size, in contrary with large subregions.

21.154961

22.91744

21.431509

20.223591

23.446144

21.955938

21.774136

21.381708

20.046623

22.36124

20.424118

19.927547

19.89068

19.477654

19.738792

20.311161

19.482683

20.252329

19.808624

19.849758

19.376297

1801.10385

Sofian Teber

S. Teber and A. V. Kotikov

Field theoretic renormalization study of reduced quantum electrodynamics and applications to the ultra-relativistic limit of Dirac liquids

(v2) Published in PRD. Some references added. No change in results. (v1) LaTeX file with feynMF package. 15 pages, 4 figures

Phys. Rev. D 97, 074004 (2018)

10.1103/PhysRevD.97.074004

null

hep-th cond-mat.mes-hall

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

The field theoretic renormalization study of reduced quantum electrodynamics (QED) is performed up to two loops. In the condensed matter context, reduced QED constitutes a very natural effective relativistic field theory describing (planar) Dirac liquids, e.g., graphene and graphene-like materials, the surface states of some topological insulators and possibly half-filled fractional quantum Hall systems. From the field theory point of view, the model involves an effective (reduced) gauge field propagating with a fractional power of the d'Alembertian in marked contrast with usual QEDs. The use of the BPHZ prescription allows for a simple and clear understanding of the structure of the model. In particular, in relation with the ultra-relativistic limit of graphene, we straightforwardly recover the results for both the interaction correction to the optical conductivity: $\mathcal{C}^*=(92-9\pi^2)/(18\pi)$ and the anomalous dimension of the fermion field: $\gamma_{\psi}(\bar{\alpha},\xi) = 2 \bar{\alpha}\,(1-3\xi)/3 -16\,\left( \zeta_2 N_F + 4/27 \right)\, \bar{\alpha}^2 + O(\bar{\alpha}^3)$, where $\bar{\alpha} = e^2/(4\pi)^2$ and $\xi$ is the gauge-fixing parameter.

[ { "created": "Wed, 31 Jan 2018 10:14:56 GMT", "version": "v1" }, { "created": "Wed, 4 Apr 2018 15:06:09 GMT", "version": "v2" } ]

2018-04-05

[ [ "Teber", "S.", "" ], [ "Kotikov", "A. V.", "" ] ]

The field theoretic renormalization study of reduced quantum electrodynamics (QED) is performed up to two loops. In the condensed matter context, reduced QED constitutes a very natural effective relativistic field theory describing (planar) Dirac liquids, e.g., graphene and graphene-like materials, the surface states of some topological insulators and possibly half-filled fractional quantum Hall systems. From the field theory point of view, the model involves an effective (reduced) gauge field propagating with a fractional power of the d'Alembertian in marked contrast with usual QEDs. The use of the BPHZ prescription allows for a simple and clear understanding of the structure of the model. In particular, in relation with the ultra-relativistic limit of graphene, we straightforwardly recover the results for both the interaction correction to the optical conductivity: $\mathcal{C}^*=(92-9\pi^2)/(18\pi)$ and the anomalous dimension of the fermion field: $\gamma_{\psi}(\bar{\alpha},\xi) = 2 \bar{\alpha}\,(1-3\xi)/3 -16\,\left( \zeta_2 N_F + 4/27 \right)\, \bar{\alpha}^2 + O(\bar{\alpha}^3)$, where $\bar{\alpha} = e^2/(4\pi)^2$ and $\xi$ is the gauge-fixing parameter.

7.000091

7.543708

7.838795

7.039348

7.652853

7.795961

7.74288

7.45429

7.050859

8.265448

7.11017

6.918103

7.256493

6.972242

6.942171

6.863033

7.071847

6.787338

7.151316

7.23099

6.8232

hep-th/9609147

Valeri Dvoeglazov

Valeri V. Dvoeglazov (Universidad Aut\'onoma de Zacatecas)

Another Majorana Idea: Real and Imaginary in the Weinberg Theory

ReVTeX file, 6pp., no figures

Int.J.Theor.Phys. 36 (1997) 635-642

10.1007/BF02435883

EFUAZ FT-96-33

hep-th

null

The Majorana discernment of neutrality is applied to the solutions of $j=1$ Weinberg equations in the $(j,0)\oplus (0,j)$ representation of the Poincar\`e group.

[ { "created": "Tue, 17 Sep 1996 20:55:21 GMT", "version": "v1" } ]

2009-10-30

[ [ "Dvoeglazov", "Valeri V.", "", "Universidad Autónoma de Zacatecas" ] ]

The Majorana discernment of neutrality is applied to the solutions of $j=1$ Weinberg equations in the $(j,0)\oplus (0,j)$ representation of the Poincar\`e group.

17.944798

12.288647

16.01918

13.214555

11.804624

12.459004

13.896313

11.483422

12.782791

15.184927

12.478811

13.818559

17.98262

15.822488

14.871909

14.145228

13.11664

14.638625

16.112581

16.667545

13.54092

hep-th/9208042

Matthias Staudacher

Ivan K.Kostov and Matthias Staudacher

Strings in Discrete and Continuous Target Spaces: A Comparison

13 pages, Saclay preprint SPhT/92-092; Rutgers preprint RU-92-21

Phys.Lett. B305 (1993) 43-51

10.1016/0370-2693(93)91103-T

null

hep-th

null

We find the precise relationship between the loop gas method and the matrix quantum mechanics approach to two-dimensional string theory. The two systems are distinguished by different target spaces ($\Z$ and $\R$, respectively) as far as {\it observables} are concerned. We argue that target space loop correlators should coincide in the two models and demonstrate this for a number of examples. As a consequence some interesting generic observations about the structure of two-dimensional string theory may be made: Restricting to a discrete target space leads to {\it factorization} of amplitudes and thus to very simple sewing rules. It is also demonstrated that the restriction to the discrete target space still allows to calculate the correlation functions of tachyon operators in the unrestricted theory.

[ { "created": "Fri, 14 Aug 1992 18:35:48 GMT", "version": "v1" } ]

2009-10-22

[ [ "Kostov", "Ivan K.", "" ], [ "Staudacher", "Matthias", "" ] ]

We find the precise relationship between the loop gas method and the matrix quantum mechanics approach to two-dimensional string theory. The two systems are distinguished by different target spaces ($\Z$ and $\R$, respectively) as far as {\it observables} are concerned. We argue that target space loop correlators should coincide in the two models and demonstrate this for a number of examples. As a consequence some interesting generic observations about the structure of two-dimensional string theory may be made: Restricting to a discrete target space leads to {\it factorization} of amplitudes and thus to very simple sewing rules. It is also demonstrated that the restriction to the discrete target space still allows to calculate the correlation functions of tachyon operators in the unrestricted theory.

12.073291

12.558262

12.487874

11.575999

11.952006

12.4961

12.367394

11.627585

11.701321

14.923005

11.756629

11.968551

12.573751

11.597457

12.216501

11.519303

11.657576

11.672575

11.501553

12.621826

11.352509

hep-th/0011050

Khaled Saaidi

Kh. Saaidi, H. M. Sadjadi

Generating Functional and Large N-Limit of Nonlocal 2D Generalized Yang-Mills Theories ($nlgYM_2$'s)

tex file, no figure. accepted for publication in Eur. Phys. J. C. (2000)

Eur.Phys.J.C18:613-618,2001

10.1007/s100520100479

null

hep-th

null

Using the path integral method, we calculate the partition function and generating functional (of the field strengths) on the nonlocal generalized 2D Yang - Mills theories ($nlgYM_2$'s), which is nonlocal in auxiliary field [14]. Our calculations is done for general surfaces. We find a general expression for free energy of $W(\phi) = \phi^{2k}$ in $nlgYM_2$ theories at the strong coupling phase (SCP) regime ($A > A_c$) for large groups. In the specific $\phi^4$ model, we show that the theory has a third order phase transition.

[ { "created": "Wed, 8 Nov 2000 12:52:13 GMT", "version": "v1" } ]

2009-01-07

[ [ "Saaidi", "Kh.", "" ], [ "Sadjadi", "H. M.", "" ] ]

Using the path integral method, we calculate the partition function and generating functional (of the field strengths) on the nonlocal generalized 2D Yang - Mills theories ($nlgYM_2$'s), which is nonlocal in auxiliary field [14]. Our calculations is done for general surfaces. We find a general expression for free energy of $W(\phi) = \phi^{2k}$ in $nlgYM_2$ theories at the strong coupling phase (SCP) regime ($A > A_c$) for large groups. In the specific $\phi^4$ model, we show that the theory has a third order phase transition.

16.169281

14.216052

17.699492

13.055286

15.222375

14.044786

13.576221

13.46785

14.124182

17.570761

14.805427

14.197544

15.886421

14.618882

15.022241

14.338301

14.724169

15.117752

14.530061

16.545458

14.953681

hep-th/0203241

Nikolaos Mavromatos

G.A. Diamandis, B.C. Georgalas, N.E. Mavromatos and E. Papantonopoulos

Acceleration of the Universe in Type-0 Non-Critical Strings

null

Int.J.Mod.Phys. A17 (2002) 4567-4589

10.1142/S0217751X02010893

null

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

null

Presently there is preliminary observational evidence that the cosmological constant might be non zero, and hence that our Universe is eternally accelerating (de Sitter). This poses fundamental problems for string theory, since a scattering matrix is not well defined in such Universes. In a previous paper we have presented a model, based on (non-equilibrium) non-critical strings, which is characterized by eventual ``graceful'' exit from a de Sitter phase. The model is based on a type-0 string theory, involving D3 brane worlds, whose initial quantum fluctuations induce the non criticality. We argue in this article that this model is compatible with the current observations. A crucial r\^ole for the correct ``phenomenology'' of the model is played by the relative magnitude of the flux of the five form of the type 0 string to the size of five of the extra dimensions, transverse to the direction of the flux-field. We do not claim, at this stage at least, that this model is a realistic physical model for the Universe, but we find it interesting that the model cannot be ruled out immediately, at least on phenomenological grounds.

[ { "created": "Tue, 26 Mar 2002 12:21:39 GMT", "version": "v1" } ]

2009-11-07

[ [ "Diamandis", "G. A.", "" ], [ "Georgalas", "B. C.", "" ], [ "Mavromatos", "N. E.", "" ], [ "Papantonopoulos", "E.", "" ] ]

Presently there is preliminary observational evidence that the cosmological constant might be non zero, and hence that our Universe is eternally accelerating (de Sitter). This poses fundamental problems for string theory, since a scattering matrix is not well defined in such Universes. In a previous paper we have presented a model, based on (non-equilibrium) non-critical strings, which is characterized by eventual ``graceful'' exit from a de Sitter phase. The model is based on a type-0 string theory, involving D3 brane worlds, whose initial quantum fluctuations induce the non criticality. We argue in this article that this model is compatible with the current observations. A crucial r\^ole for the correct ``phenomenology'' of the model is played by the relative magnitude of the flux of the five form of the type 0 string to the size of five of the extra dimensions, transverse to the direction of the flux-field. We do not claim, at this stage at least, that this model is a realistic physical model for the Universe, but we find it interesting that the model cannot be ruled out immediately, at least on phenomenological grounds.

11.10001

10.473651

11.040576

10.335733

10.849998

10.273053

10.510004

10.822866

9.995088

11.457542

10.319735

10.215578

10.385648

10.415935

10.193293

10.430687

10.293754

10.367491

10.141318

10.716328

10.258764

2104.03957

Mao Zeng

Enrico Herrmann, Julio Parra-Martinez, Michael S. Ruf, Mao Zeng

Radiative Classical Gravitational Observables at $\mathcal O(G^3)$ from Scattering Amplitudes

69 pages, 11 figures

null

10.1007/JHEP10(2021)148

null

hep-th gr-qc hep-ph

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

We compute classical gravitational observables for the scattering of two spinless black holes in general relativity and $\mathcal N {=} 8$ supergravity in the formalism of Kosower, Maybee, and O'Connell (KMOC). We focus on the gravitational impulse with radiation reaction and the radiated momentum in black hole scattering at $\mathcal O(G^3)$ to all orders in the velocity. These classical observables require the construction and evaluation of certain loop-level quantities which are greatly simplified by harnessing recent advances from scattering amplitudes and collider physics. In particular, we make use of generalized unitarity to construct the relevant loop integrands, employ reverse unitarity, the method of regions, integration-by-parts (IBP), and (canonical) differential equations to simplify and evaluate all loop and phase-space integrals to obtain the classical gravitational observables of interest to two-loop order. The KMOC formalism naturally incorporates radiation effects which enables us to explore these classical quantities beyond the conservative two-body dynamics. From the impulse and the radiated momentum, we extract the scattering angle and the radiated energy. Finally, we discuss universality of the impulse in the high-energy limit and the relation to the eikonal phase.

[ { "created": "Thu, 8 Apr 2021 17:58:01 GMT", "version": "v1" } ]

2021-11-03

[ [ "Herrmann", "Enrico", "" ], [ "Parra-Martinez", "Julio", "" ], [ "Ruf", "Michael S.", "" ], [ "Zeng", "Mao", "" ] ]

We compute classical gravitational observables for the scattering of two spinless black holes in general relativity and $\mathcal N {=} 8$ supergravity in the formalism of Kosower, Maybee, and O'Connell (KMOC). We focus on the gravitational impulse with radiation reaction and the radiated momentum in black hole scattering at $\mathcal O(G^3)$ to all orders in the velocity. These classical observables require the construction and evaluation of certain loop-level quantities which are greatly simplified by harnessing recent advances from scattering amplitudes and collider physics. In particular, we make use of generalized unitarity to construct the relevant loop integrands, employ reverse unitarity, the method of regions, integration-by-parts (IBP), and (canonical) differential equations to simplify and evaluate all loop and phase-space integrals to obtain the classical gravitational observables of interest to two-loop order. The KMOC formalism naturally incorporates radiation effects which enables us to explore these classical quantities beyond the conservative two-body dynamics. From the impulse and the radiated momentum, we extract the scattering angle and the radiated energy. Finally, we discuss universality of the impulse in the high-energy limit and the relation to the eikonal phase.

8.48819

6.725246

9.387989

7.170295

6.908201

6.842186

7.0514

7.009527

7.179299

10.032506

7.266196

7.637033

8.44218

7.923725

8.020129

7.628676

7.723114

7.868061

7.968551

8.615195

7.958141

hep-th/9509108

Gary Horowitz

Gary Horowitz and Ashoke Sen

Rotating Black Holes which Saturate a Bogomol'nyi Bound

13 pages, no figures

Phys.Rev.D53:808-815,1996

10.1103/PhysRevD.53.808

UCSBTH-95-27, TIRF/TH/95-46

hep-th gr-qc

null

We construct and study the electrically charged, rotating black hole solution in heterotic string theory compactified on a $(10-D)$ dimensional torus. This black hole is characterized by its mass, angular momentum, and a $(36-2D)$ dimensional electric charge vector. One of the novel features of this solution is that for $D >5$, its extremal limit saturates the Bogomol'nyi bound. This is in contrast with the $D=4$ case where the rotating black hole solution develops a naked singularity before the Bogomol'nyi bound is reached. The extremal black holes can be superposed, and by taking a periodic array in $D>5$, one obtains effectively four dimensional solutions without naked singularities.

[ { "created": "Wed, 20 Sep 1995 20:37:15 GMT", "version": "v1" } ]

2009-09-15

[ [ "Horowitz", "Gary", "" ], [ "Sen", "Ashoke", "" ] ]

We construct and study the electrically charged, rotating black hole solution in heterotic string theory compactified on a $(10-D)$ dimensional torus. This black hole is characterized by its mass, angular momentum, and a $(36-2D)$ dimensional electric charge vector. One of the novel features of this solution is that for $D >5$, its extremal limit saturates the Bogomol'nyi bound. This is in contrast with the $D=4$ case where the rotating black hole solution develops a naked singularity before the Bogomol'nyi bound is reached. The extremal black holes can be superposed, and by taking a periodic array in $D>5$, one obtains effectively four dimensional solutions without naked singularities.

6.236153

5.98287

6.763638

5.869051

6.323274

5.773383

6.4482

5.735075

6.001689

6.622515

5.718629

6.005318

6.233284

5.863343

6.082734

5.983061

6.009494

5.941463

6.01805

6.191886

5.90796

1610.03481

Matin Mojaza

Paolo Di Vecchia, Raffaele Marotta, Matin Mojaza

Soft behavior of a closed massless state in superstring and universality in the soft behavior of the dilaton

27 pages, one appendix

null

10.1007/JHEP12(2016)020

NORDITA-2016-106

hep-th

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

We consider the tree-level scattering amplitudes in the NS-NS (Neveu-Schwarz) massless sector of closed superstrings in the case where one external state becomes soft. We compute the amplitudes generically for any number of dimensions and any number and kind of the massless closed states through the subsubleading order in the soft expansion. We show that, when the soft state is a graviton or a dilaton, the full result can be expressed as a soft theorem factorizing the amplitude in a soft and a hard part. This behavior is similar to what has previously been observed in field theory and in the bosonic string. Differently from the bosonic string, the supersymmetric soft theorem for the graviton has no string corrections at subsubleading order. The dilaton soft theorem, on the other hand, is found to be universally free of string corrections in any string theory.

[ { "created": "Tue, 11 Oct 2016 19:56:21 GMT", "version": "v1" } ]

2017-01-04

[ [ "Di Vecchia", "Paolo", "" ], [ "Marotta", "Raffaele", "" ], [ "Mojaza", "Matin", "" ] ]

We consider the tree-level scattering amplitudes in the NS-NS (Neveu-Schwarz) massless sector of closed superstrings in the case where one external state becomes soft. We compute the amplitudes generically for any number of dimensions and any number and kind of the massless closed states through the subsubleading order in the soft expansion. We show that, when the soft state is a graviton or a dilaton, the full result can be expressed as a soft theorem factorizing the amplitude in a soft and a hard part. This behavior is similar to what has previously been observed in field theory and in the bosonic string. Differently from the bosonic string, the supersymmetric soft theorem for the graviton has no string corrections at subsubleading order. The dilaton soft theorem, on the other hand, is found to be universally free of string corrections in any string theory.

6.352235

6.717565

7.327203

6.176507

7.069195

6.573293

6.289608

5.914813

6.359362

7.076961

6.237928

6.593071

6.465303

6.200224

6.299167

6.446358

6.620374

6.365598

6.39992

6.648729

6.445339

2205.01150

Souvik Banerjee Dr.

Mohsen Alishahiha, Souvik Banerjee, Joshua Kames-King

Complexity via Replica Trick

29 pages, 6 figures

null

10.1007/JHEP08(2022)181

null

hep-th

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

We consider the complexity of a single-sided AdS black hole as modelled by an end-of-the-world brane. In addition, we present multi-boundary partition functions and matter correlation functions for such a setting. We compute the complexity using a modified replica trick corresponding to the "quenched geodesic length" in JT gravity. The late-time behaviour of complexity shows a saturation to a constant value of order $e^{S_0}$ following a period of linear growth. Furthermore, we show that our approach leads to an improved result for the variance of complexity, namely it being time-independent at late times. We conclude by commenting on the introduction of dynamical end-of-the-world branes.

[ { "created": "Mon, 2 May 2022 18:30:25 GMT", "version": "v1" } ]

2022-09-07

[ [ "Alishahiha", "Mohsen", "" ], [ "Banerjee", "Souvik", "" ], [ "Kames-King", "Joshua", "" ] ]

We consider the complexity of a single-sided AdS black hole as modelled by an end-of-the-world brane. In addition, we present multi-boundary partition functions and matter correlation functions for such a setting. We compute the complexity using a modified replica trick corresponding to the "quenched geodesic length" in JT gravity. The late-time behaviour of complexity shows a saturation to a constant value of order $e^{S_0}$ following a period of linear growth. Furthermore, we show that our approach leads to an improved result for the variance of complexity, namely it being time-independent at late times. We conclude by commenting on the introduction of dynamical end-of-the-world branes.

13.987417

10.816647

13.799256

10.906618

11.320894

11.32736

10.95651

10.809308

10.625208

14.867048

12.124166

11.769996

12.805726

12.043819

11.637859

11.864622

12.01783

11.774476

12.233736

12.808022

13.116975

hep-th/0207162

Michael Faux

Charles F. Doran and Michael Faux

Intersecting Branes in M-Theory and Chiral Matter in Four Dimensions

34 pages with 11 postscript figures; references and clarifications added; M-Orbifold scan amended to include six previously-omitted cases

JHEP 0208 (2002) 024

10.1088/1126-6708/2002/08/024

CU-TP-1064, HWS-200201, HU-EP-02/28

hep-th

null

We explicitly derive a complementary pair of four-dimensional M-theory brane-world models, linked by a five-dimensional bulk, each of which has a unique anomaly-free chiral spectrum. This is done via resolution of local consistency requirements, in the context of the simplest global quotient T7/G with ten-dimensional fixed-planes, for which a chiral four-dimensional spectrum could arise.

[ { "created": "Wed, 17 Jul 2002 17:57:16 GMT", "version": "v1" }, { "created": "Mon, 22 Jul 2002 16:05:46 GMT", "version": "v2" } ]

2009-11-07

[ [ "Doran", "Charles F.", "" ], [ "Faux", "Michael", "" ] ]

We explicitly derive a complementary pair of four-dimensional M-theory brane-world models, linked by a five-dimensional bulk, each of which has a unique anomaly-free chiral spectrum. This is done via resolution of local consistency requirements, in the context of the simplest global quotient T7/G with ten-dimensional fixed-planes, for which a chiral four-dimensional spectrum could arise.

30.19162

31.839613

39.586769

28.75691

32.082733

29.684479

33.045952

27.737568

27.322693

36.788528

27.232151

26.955614

30.842014

27.856337

24.952049

27.613855

28.449429

26.279585

28.053099

31.316025

25.352844

2207.03494

Kurt Hinterbichler

Shift Symmetries for p-Forms and Mixed Symmetry Fields on (A)dS

27 pages, 3 figures. v2 several corrections, version appearing in JHEP

JHEP 11 (2022) 015

10.1007/JHEP11(2022)015

null

hep-th gr-qc

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

Massive fields on (anti) de Sitter space realize extended shift symmetries at particular values of their masses. We find these symmetries for all bosonic p-forms and mixed symmetry fields, in arbitrary spacetime dimension. These shift symmetric fields correspond to the missing longitudinal modes of mixed symmetry partially massless fields where the top row of the Young tableau is activated.

[ { "created": "Thu, 7 Jul 2022 18:00:00 GMT", "version": "v1" }, { "created": "Tue, 6 Dec 2022 20:51:53 GMT", "version": "v2" } ]

2022-12-08

[ [ "Hinterbichler", "Kurt", "" ] ]

Massive fields on (anti) de Sitter space realize extended shift symmetries at particular values of their masses. We find these symmetries for all bosonic p-forms and mixed symmetry fields, in arbitrary spacetime dimension. These shift symmetric fields correspond to the missing longitudinal modes of mixed symmetry partially massless fields where the top row of the Young tableau is activated.

23.186655

15.760561

23.940296

16.440893

21.552912

18.024178

19.611553

16.72963

18.871338

29.522694

17.260553

19.251833

22.397421

20.226334

18.901745

18.708193

19.268539

18.500311

19.323622

22.587246

19.589632

1505.00840

Vladimir O. Soloviev

Hamiltonian cosmology in bigravity and massive gravity

42 pages, no figures, some typos removed

null

hep-th gr-qc

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

In the Hamiltonian language we provide a study of flat-space cosmology in bigravity and massive gravity constructed mostly with de Rham, Gabadadze, Tolley (dRGT) potential. It is demonstrated that the Hamiltonian methods are powerful not only in proving the absence of the Boulware-Deser ghost, but also in solving other problems. The purpose of this work is to give an introduction both to the Hamiltonian formalism and to the cosmology of bigravity. We sketch three roads to the Hamiltonian of bigravity with the dRGT potential: the metric, the tetrad and the minisuperspace approaches.

[ { "created": "Mon, 4 May 2015 23:08:56 GMT", "version": "v1" }, { "created": "Sun, 10 May 2015 16:11:12 GMT", "version": "v2" } ]

2015-05-12

[ [ "Soloviev", "Vladimir O.", "" ] ]

In the Hamiltonian language we provide a study of flat-space cosmology in bigravity and massive gravity constructed mostly with de Rham, Gabadadze, Tolley (dRGT) potential. It is demonstrated that the Hamiltonian methods are powerful not only in proving the absence of the Boulware-Deser ghost, but also in solving other problems. The purpose of this work is to give an introduction both to the Hamiltonian formalism and to the cosmology of bigravity. We sketch three roads to the Hamiltonian of bigravity with the dRGT potential: the metric, the tetrad and the minisuperspace approaches.

7.432929

6.431931

7.109571

6.028667

6.9305

6.427797

6.090278

6.185333

6.2867

7.00136

6.543963

6.152746

6.637969

6.378569

6.309162

6.433475

6.514377

6.186363

6.361722

6.668756

6.65018

hep-th/0202092

Lukas Popp

I. Fruhwirth, J. M. Grimstrup, Z. Morsli, L. Popp, M. Schweda

The role of the field redefinition in noncommutative Maxwell theory

13 pages, amsLaTeX

null

TUW-02-02

hep-th

null

We discuss $\theta$-deformed Maxwell theory at first order in $\theta$ with the help of the Seiberg-Witten (SW) map. With an appropriate field redefinition consistent with the SW-map we analyse the one-loop corrections of the vacuum polarization of photons. We show that the radiative corrections obtained in a previous work may be described by the Ward-identity of the BRST-shift symmetry corresponding to a field redefinition.

[ { "created": "Fri, 15 Feb 2002 19:07:19 GMT", "version": "v1" } ]

2007-05-23

[ [ "Fruhwirth", "I.", "" ], [ "Grimstrup", "J. M.", "" ], [ "Morsli", "Z.", "" ], [ "Popp", "L.", "" ], [ "Schweda", "M.", "" ] ]

We discuss $\theta$-deformed Maxwell theory at first order in $\theta$ with the help of the Seiberg-Witten (SW) map. With an appropriate field redefinition consistent with the SW-map we analyse the one-loop corrections of the vacuum polarization of photons. We show that the radiative corrections obtained in a previous work may be described by the Ward-identity of the BRST-shift symmetry corresponding to a field redefinition.

11.272052

9.261869

11.436836

9.704054

10.360276

9.640508

9.129635

9.543564

9.38814

12.249496

9.792142

9.463258

11.192684

10.111836

10.105721

9.787775

9.839228

9.312436

9.900723

11.600204

9.520088

hep-th/0012018

Andrei G. Bytsko

Singularities of the Seiberg-Witten map

8 pages, LaTeX

JHEP 0101:020,2001

10.1088/1126-6708/2001/01/020

null

hep-th

null

We construct an explicit solution of the Seiberg-Witten map for a linear gauge field on the non-commutative plane. We observe that this solution as well as the solution for a constant curvature diverge when the non-commutativity parameter theta reaches certain event horizon in the theta-space. This implies that an ordinary Yang-Mills theory can be continuously deformed by the Seiberg-Witten map into a non-commutative theory only within one connected component of the theta-space.

[ { "created": "Mon, 4 Dec 2000 15:49:16 GMT", "version": "v1" } ]

2010-02-03

[ [ "Bytsko", "Andrei G.", "" ] ]

We construct an explicit solution of the Seiberg-Witten map for a linear gauge field on the non-commutative plane. We observe that this solution as well as the solution for a constant curvature diverge when the non-commutativity parameter theta reaches certain event horizon in the theta-space. This implies that an ordinary Yang-Mills theory can be continuously deformed by the Seiberg-Witten map into a non-commutative theory only within one connected component of the theta-space.

8.032512

7.192566

7.480935

7.042501

6.930091

7.691235

7.360326

6.635262

6.742601

8.258304

7.227474

7.171014

7.513124

7.070633

7.320761

7.480221

7.008783

7.320476

7.29533

7.469735

7.495973

hep-th/0611290

Sanjaye Ramgoolam

T. Brown, R. de Mello Koch, S. Ramgoolam, N. Toumbas

Correlators, Probabilities and Topologies in N=4 SYM

LaTeX : 55 pages + Appendices (30 figures) version 2 : minor typos corrected + minor comments + acknowledgements added

JHEP 0703:072,2007

10.1088/1126-6708/2007/03/072

QMUL-PH-06-11, WITS-CTP-028

hep-th

null

We calculate transition probabilities for various processes involving giant gravitons and small gravitons in AdS space, using the dual N=4 SYM theory. The normalization factors for these probabilities involve, in general, correlators for manifolds of non-trivial topology which are obtained by gluing simpler four-manifolds. This follows from the factorization properties which relate CFT correlators for different topologies. These points are illustrated, in the first instance, in the simpler example of a two dimensional Matrix CFT. We give the bulk five dimensional interpretation, involving neighborhoods of Witten graphs, of these gluing properties of the four dimensional boundary CFT. As a corollary we give a simple description, based on Witten graphs, of a multiplicity of bulk topologies corresponding to a fixed boundary topology. We also propose to interpret the correlators as topology-changing transition amplitudes between LLM geometries.

[ { "created": "Mon, 27 Nov 2006 18:12:30 GMT", "version": "v1" }, { "created": "Fri, 15 Dec 2006 20:25:14 GMT", "version": "v2" } ]

2009-11-11

[ [ "Brown", "T.", "" ], [ "Koch", "R. de Mello", "" ], [ "Ramgoolam", "S.", "" ], [ "Toumbas", "N.", "" ] ]

We calculate transition probabilities for various processes involving giant gravitons and small gravitons in AdS space, using the dual N=4 SYM theory. The normalization factors for these probabilities involve, in general, correlators for manifolds of non-trivial topology which are obtained by gluing simpler four-manifolds. This follows from the factorization properties which relate CFT correlators for different topologies. These points are illustrated, in the first instance, in the simpler example of a two dimensional Matrix CFT. We give the bulk five dimensional interpretation, involving neighborhoods of Witten graphs, of these gluing properties of the four dimensional boundary CFT. As a corollary we give a simple description, based on Witten graphs, of a multiplicity of bulk topologies corresponding to a fixed boundary topology. We also propose to interpret the correlators as topology-changing transition amplitudes between LLM geometries.

13.427155

12.773318

14.934451

12.797544

13.766209

12.825737

12.925575

13.26237

12.236177

15.308312

12.387338

12.513574

13.787287

13.399393

12.555454

12.589513

12.819935

12.67307

13.032615

13.516377

12.420225

2211.09405

Yu. M. Zinoviev

Massless spin 2 interacting with massive higher spins in d=3

14 pages

JHEP 03 (2023) 058

10.1007/JHEP03(2023)058

null

hep-th

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

In this paper we consider massless spin 2 interacting with the massive arbitrary spin fermions in d=3. First of all, we study all possible deformations for the massive fermion unfolded equations in the massless spin 2 background. We find three linearly independent solutions one of which corresponds to the standard gravitational interactions. Then for all three cases we reconstruct appropriate Lagrangian formulation.

[ { "created": "Thu, 17 Nov 2022 08:27:46 GMT", "version": "v1" } ]

2023-03-29

[ [ "Zinoviev", "Yu. M.", "" ] ]

In this paper we consider massless spin 2 interacting with the massive arbitrary spin fermions in d=3. First of all, we study all possible deformations for the massive fermion unfolded equations in the massless spin 2 background. We find three linearly independent solutions one of which corresponds to the standard gravitational interactions. Then for all three cases we reconstruct appropriate Lagrangian formulation.

12.799942

10.778705

13.120593

10.932157

11.527237

11.496905

11.308903

11.373726

10.883774

12.80435

11.082038

11.20351

12.178336

11.428509

11.498746

11.251876

11.006281

11.355154

11.557999

11.781616

11.373197

2311.14666

Monica Jinwoo Kang

Monica Jinwoo Kang and Sungkyung Kang

Central extensions of higher groups: Green-Schwarz mechanism and 2-connections

17 pages + appendix + references

null

CALT-TH-2023-048

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

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

We study the smooth $2$-group structure arising in the presence of quantum field theory with one-form symmetry. We acquire $2$-group structures obtained by a central extension of the zero-form symmetry by the one-form symmetry. We determine that the existence of a $2$-group structure is guaranteed by Chern--Simons levels. We further verify how we will be able to provide a fix to the current $2$-group problems by using the bibundle model. We outline the principal $2$-connection theory with respect to such $2$-group and compare it with the ansatz obtained from the Green--Schwarz mechanism. We further propose the existence of smooth $\infty$-group symmetries in quantum field theory.

[ { "created": "Fri, 24 Nov 2023 18:57:22 GMT", "version": "v1" }, { "created": "Mon, 27 Nov 2023 14:25:30 GMT", "version": "v2" } ]

2023-11-28

[ [ "Kang", "Monica Jinwoo", "" ], [ "Kang", "Sungkyung", "" ] ]

We study the smooth $2$-group structure arising in the presence of quantum field theory with one-form symmetry. We acquire $2$-group structures obtained by a central extension of the zero-form symmetry by the one-form symmetry. We determine that the existence of a $2$-group structure is guaranteed by Chern--Simons levels. We further verify how we will be able to provide a fix to the current $2$-group problems by using the bibundle model. We outline the principal $2$-connection theory with respect to such $2$-group and compare it with the ansatz obtained from the Green--Schwarz mechanism. We further propose the existence of smooth $\infty$-group symmetries in quantum field theory.

13.225285

13.581109

15.035312

12.378487

14.225085

13.095354

13.616358

12.052086

12.89958

14.600605

12.243827

12.504505

12.741913

12.461597

12.518847

12.115445

12.715756

12.183247

12.166565

13.062086

12.323833

0909.2138

Roman Konoplya

R. A. Konoplya, A. Zhidenko

Holographic conductivity of zero temperature superconductors

9 pages, 10 figures

Phys. Lett. B686:199-206, 2010.

10.1016/j.physletb.2010.02.048

null

hep-th

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

Using the recently found by G. Horowitz and M. Roberts (arXiv:0908.3677) numerical model of the ground state of holographic superconductors (at zero temperature), we calculate the conductivity for such models. The universal relation connecting conductivity with the reflection coefficient was used for finding the conductivity by the WKB approach. The dependence of the conductivity on the frequency and charge density is discussed. Numerical calculations confirm the general arguments of (arXiv:0908.3677) in favor of non-zero conductivity even at zero temperature. In addition to the Horowitz-Roberts solution we have found (probably infinite) set of extra solutions which are normalizable and reach the same correct RN-AdS asymptotic at spatial infinity. These extra solutions (which correspond to larger values of the grand canonical potential) lead to effective potentials that also vanish at the horizon and thus correspond to a non-zero conductivity at zero temperature.

[ { "created": "Fri, 11 Sep 2009 19:24:19 GMT", "version": "v1" }, { "created": "Fri, 2 Oct 2009 16:11:27 GMT", "version": "v2" }, { "created": "Thu, 29 Oct 2009 21:51:11 GMT", "version": "v3" }, { "created": "Mon, 15 Feb 2010 21:22:28 GMT", "version": "v4" } ]

2010-03-09

[ [ "Konoplya", "R. A.", "" ], [ "Zhidenko", "A.", "" ] ]

Using the recently found by G. Horowitz and M. Roberts (arXiv:0908.3677) numerical model of the ground state of holographic superconductors (at zero temperature), we calculate the conductivity for such models. The universal relation connecting conductivity with the reflection coefficient was used for finding the conductivity by the WKB approach. The dependence of the conductivity on the frequency and charge density is discussed. Numerical calculations confirm the general arguments of (arXiv:0908.3677) in favor of non-zero conductivity even at zero temperature. In addition to the Horowitz-Roberts solution we have found (probably infinite) set of extra solutions which are normalizable and reach the same correct RN-AdS asymptotic at spatial infinity. These extra solutions (which correspond to larger values of the grand canonical potential) lead to effective potentials that also vanish at the horizon and thus correspond to a non-zero conductivity at zero temperature.

11.707227

11.745884

11.354223

10.596502

11.633617

12.019368

11.767019

11.041295

11.396135

12.350658

11.137443

10.617472

10.386616

10.152364

10.572322

10.623485

10.630445

10.548081

10.363821

10.662918

10.607849

1806.00612

C Furey

C. Furey

$SU(3)_C\times SU(2)_L\times U(1)_Y\left( \times U(1)_X \right)$ as a symmetry of division algebraic ladder operators

11 pages, 4 figures. This article builds on results from arXiv:1611.09182, however is written so as to be self-contained

Eur. Phys. J. C (2018) 78:375

10.1140/epjc/s10052-018-5844-7

null

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

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

We demonstrate a model which captures certain attractive features of $SU(5)$ theory, while providing a possible escape from proton decay. In this paper we show how ladder operators arise from the division algebras $\mathbb{R}$, $\mathbb{C}$, $\mathbb{H}$, and $\mathbb{O}$. From the $SU(n)$ symmetry of these ladder operators, we then demonstrate a model which has much structural similarity to Georgi and Glashow's $SU(5)$ grand unified theory. However, in this case, the transitions leading to proton decay are expected to be blocked, given that they coincide with presumably forbidden transformations which would incorrectly mix distinct algebraic actions. As a result, we find that we are left with $G_{sm} = SU(3)_C\times SU(2)_L\times U(1)_Y / \mathbb{Z}_6$. Finally, we point out that if $U(n)$ ladder symmetries are used in place of $SU(n)$, it may then be possible to find this same $G_{sm}=SU(3)_C\times SU(2)_L\times U(1)_Y / \mathbb{Z}_6$, together with an extra $U(1)_X$ symmetry, related to $B-L$.

[ { "created": "Sat, 2 Jun 2018 09:41:03 GMT", "version": "v1" } ]

2018-06-05

[ [ "Furey", "C.", "" ] ]

We demonstrate a model which captures certain attractive features of $SU(5)$ theory, while providing a possible escape from proton decay. In this paper we show how ladder operators arise from the division algebras $\mathbb{R}$, $\mathbb{C}$, $\mathbb{H}$, and $\mathbb{O}$. From the $SU(n)$ symmetry of these ladder operators, we then demonstrate a model which has much structural similarity to Georgi and Glashow's $SU(5)$ grand unified theory. However, in this case, the transitions leading to proton decay are expected to be blocked, given that they coincide with presumably forbidden transformations which would incorrectly mix distinct algebraic actions. As a result, we find that we are left with $G_{sm} = SU(3)_C\times SU(2)_L\times U(1)_Y / \mathbb{Z}_6$. Finally, we point out that if $U(n)$ ladder symmetries are used in place of $SU(n)$, it may then be possible to find this same $G_{sm}=SU(3)_C\times SU(2)_L\times U(1)_Y / \mathbb{Z}_6$, together with an extra $U(1)_X$ symmetry, related to $B-L$.

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