LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1403.4664

Alexander Kovner

Ibrahim B. Ilhan and Alex Kovner

Conformal Gravity Redux: Ghost-turned-Tachyon

10 pages

Phys. Rev. D 89, 104015 (2014)

10.1103/PhysRevD.89.104015

null

hep-th gr-qc hep-ph

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

We analyze conformal gravity in translationally invariant approximation, where the metric is taken to depend on time but not on spatial coordinates. We find that the field mode which in perturbation theory has a ghostlike kinetic term, turns into a tachyon when nonlinear interaction is accounted for. The kinetic term and potential for this mode have opposite signs. Solutions of nonlinear classical equations of motion develop a singularity in finite time determined by the initial conditions.

[ { "created": "Wed, 19 Mar 2014 01:58:13 GMT", "version": "v1" } ]

2014-05-14

[ [ "Ilhan", "Ibrahim B.", "" ], [ "Kovner", "Alex", "" ] ]

We analyze conformal gravity in translationally invariant approximation, where the metric is taken to depend on time but not on spatial coordinates. We find that the field mode which in perturbation theory has a ghostlike kinetic term, turns into a tachyon when nonlinear interaction is accounted for. The kinetic term and potential for this mode have opposite signs. Solutions of nonlinear classical equations of motion develop a singularity in finite time determined by the initial conditions.

12.028389

11.559536

12.000552

12.181794

12.252062

12.199108

11.411249

11.26324

10.833756

11.09857

10.590117

11.188441

11.644381

11.406846

10.990343

10.92788

11.530764

11.471644

11.320292

11.718167

10.865985

hep-th/0701082

Justin F. Vazquez-Poritz

W. Chen, M. Cvetic, H. Lu, C.N. Pope, J.F. Vazquez-Poritz

Resolved Calabi-Yau Cones and Flows from L^{abc} Superconformal Field Theories

35 pages, 2 figures, additional comments and references

Nucl.Phys.B785:74-97,2007

10.1016/j.nuclphysb.2007.06.018

null

hep-th

null

We discuss D3-branes on cohomogeneity-three resolved Calabi-Yau cones over L^{abc} spaces, for which a 2-cycle or 4-cycle has been blown up. In terms of the dual quiver gauge theory, this corresponds to motion along the non-mesonic, or baryonic, directions in the moduli space of vacua. In particular, a dimension-two and/or dimension-six scalar operator gets a vacuum expectation value. These resolved cones support various harmonic (2,1)-forms which reduce the ranks of some of the gauge groups either by a Seiberg duality cascade or by Higgsing. We also discuss higher-dimensional resolved Calabi-Yau cones. In particular, we obtain square-integrable (2,2)-forms for eight-dimensional cohomogeneity-four Calabi-Yau metrics.

[ { "created": "Tue, 9 Jan 2007 21:12:58 GMT", "version": "v1" }, { "created": "Mon, 28 May 2007 20:31:04 GMT", "version": "v2" } ]

2008-11-26

[ [ "Chen", "W.", "" ], [ "Cvetic", "M.", "" ], [ "Lu", "H.", "" ], [ "Pope", "C. N.", "" ], [ "Vazquez-Poritz", "J. F.", "" ] ]

We discuss D3-branes on cohomogeneity-three resolved Calabi-Yau cones over L^{abc} spaces, for which a 2-cycle or 4-cycle has been blown up. In terms of the dual quiver gauge theory, this corresponds to motion along the non-mesonic, or baryonic, directions in the moduli space of vacua. In particular, a dimension-two and/or dimension-six scalar operator gets a vacuum expectation value. These resolved cones support various harmonic (2,1)-forms which reduce the ranks of some of the gauge groups either by a Seiberg duality cascade or by Higgsing. We also discuss higher-dimensional resolved Calabi-Yau cones. In particular, we obtain square-integrable (2,2)-forms for eight-dimensional cohomogeneity-four Calabi-Yau metrics.

11.228584

11.305107

13.978959

11.255924

11.558037

12.024069

11.629921

12.046969

10.907808

14.588972

10.847214

10.496707

11.89894

11.15243

10.633089

11.204025

11.190149

10.999165

10.925362

12.439749

10.693173

1101.0120

Raffaele Marotta

P. Di Vecchia, R. Marotta, I. Pesando and F. Pezzella

Open strings in the system D5/D9

54 pages, Latex

null

10.1088/1751-8113/44/24/245401

DFTT/9/2010, NORDITA-2010-115

hep-th

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

We construct the six-dimensional Lagrangian for the massless twisted open strings with one end-point ending on a stack of D5 and the other on a stack of D9 branes, interacting with the gauge multiplets living respectively on the D5 and D9 branes. It is first obtained by uplifting to six dimensions the four-dimensional Lagrangian of the N=2 hypermultiplet and manifestly exhibits an SU(2) symmetry. We show by an explicit calculation that it is N=1 supersymmetric in six dimensions and then we check various terms of this Lagrangian by computing string amplitudes on the disk. Finally, starting from this Lagrangian and assuming the presence of non-zero magnetic fluxes along the extra compact dimensions, we determine the spectrum of the Kaluza-Klein states which agrees with the corresponding one obtained from string theory in the field theory limit.

[ { "created": "Thu, 30 Dec 2010 17:51:39 GMT", "version": "v1" } ]

2015-05-20

[ [ "Di Vecchia", "P.", "" ], [ "Marotta", "R.", "" ], [ "Pesando", "I.", "" ], [ "Pezzella", "F.", "" ] ]

We construct the six-dimensional Lagrangian for the massless twisted open strings with one end-point ending on a stack of D5 and the other on a stack of D9 branes, interacting with the gauge multiplets living respectively on the D5 and D9 branes. It is first obtained by uplifting to six dimensions the four-dimensional Lagrangian of the N=2 hypermultiplet and manifestly exhibits an SU(2) symmetry. We show by an explicit calculation that it is N=1 supersymmetric in six dimensions and then we check various terms of this Lagrangian by computing string amplitudes on the disk. Finally, starting from this Lagrangian and assuming the presence of non-zero magnetic fluxes along the extra compact dimensions, we determine the spectrum of the Kaluza-Klein states which agrees with the corresponding one obtained from string theory in the field theory limit.

7.451776

7.293005

7.7223

7.078547

7.190785

6.979824

7.116432

7.344557

7.053852

8.151616

6.995601

6.909397

7.078842

6.972347

7.044525

7.140422

6.951318

6.874733

7.050077

7.12339

6.958146

2306.04687

Alessandro Dondarini

Causality Bounds in Quadratic Inflation from Purely Virtual Particles

null

hep-th gr-qc hep-ph

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

The "$\phi^2$" slow roll inflation combined with General Relativity is largely excluded by Planck data. In this paper, we consider the same potential combined with the $R+C^2$ gravity of purely virtual particles (or fakeons), where the would-be ghost introduced by the Weyl tensor term, $C^2$, is quantized with the fakeon prescription. We compute the tensor power spectrum in the full theory by means of the Cosmic Renormalization Group formalism and critically examine its physical meaning. In particular, we show that it is not possible to retrieve the power spectrum of the fakeon free-theory by considering the decoupling limit of the purely virtual particles. We provide a physical explanation in terms of the causal structure of the theory to infer that a model of quadratic inflation from purely virtual particles is also discarded from a phenomenological point of view.

[ { "created": "Wed, 7 Jun 2023 18:00:04 GMT", "version": "v1" }, { "created": "Fri, 20 Oct 2023 15:53:05 GMT", "version": "v2" } ]

2023-10-23

[ [ "Dondarini", "Alessandro", "" ] ]

The "$\phi^2$" slow roll inflation combined with General Relativity is largely excluded by Planck data. In this paper, we consider the same potential combined with the $R+C^2$ gravity of purely virtual particles (or fakeons), where the would-be ghost introduced by the Weyl tensor term, $C^2$, is quantized with the fakeon prescription. We compute the tensor power spectrum in the full theory by means of the Cosmic Renormalization Group formalism and critically examine its physical meaning. In particular, we show that it is not possible to retrieve the power spectrum of the fakeon free-theory by considering the decoupling limit of the purely virtual particles. We provide a physical explanation in terms of the causal structure of the theory to infer that a model of quadratic inflation from purely virtual particles is also discarded from a phenomenological point of view.

17.579538

16.259474

13.666767

12.644727

14.377075

14.736443

14.993716

12.864929

13.359567

15.239519

13.960756

15.344999

13.292902

14.52422

14.485231

15.299501

16.436943

15.24485

13.998713

13.590143

15.573609

1004.5388

Eric R. Sharpe

E. Sharpe

GLSM's, gerbes, and Kuznetsov's homological projective duality

LaTeX, 8 pages, contribution to the proceedings of Quantum Theory and Symmetries 6 (Lexington, Kentucky, July 2009)

null

VT-IPNAS 10-04

hep-th

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

In this short note we give an overview of recent work on string propagation on stacks and applications to gauged linear sigma models. We begin by outlining noneffective orbifolds (orbifolds in which a subgroup acts trivially) and related phenomena in two-dimensional gauge theories, which realize string propagation on gerbes. We then discuss the `decomposition conjecture,' equating conformal field theories of strings on gerbes and strings on disjoint unions of spaces. Finally, we apply these ideas to gauged linear sigma models for complete intersections of quadrics, and use the decomposition conjecture to show that the Landau-Ginzburg points of those models have a geometric interpretation in terms of a (sometimes noncommutative resolution of a) branched double cover, realized via nonperturbative effects, rather than as the vanishing locus of a superpotential. These examples violate old unproven lore on GLSM's (e.g., that geometric phases must be related by birational transformations), and we conclude by observing that in these examples (and conjecturing more generally in GLSM's), the phases are instead related by Kuznetsov's `homological projective duality.'

[ { "created": "Thu, 29 Apr 2010 20:17:31 GMT", "version": "v1" } ]

2010-05-03

[ [ "Sharpe", "E.", "" ] ]

In this short note we give an overview of recent work on string propagation on stacks and applications to gauged linear sigma models. We begin by outlining noneffective orbifolds (orbifolds in which a subgroup acts trivially) and related phenomena in two-dimensional gauge theories, which realize string propagation on gerbes. We then discuss the `decomposition conjecture,' equating conformal field theories of strings on gerbes and strings on disjoint unions of spaces. Finally, we apply these ideas to gauged linear sigma models for complete intersections of quadrics, and use the decomposition conjecture to show that the Landau-Ginzburg points of those models have a geometric interpretation in terms of a (sometimes noncommutative resolution of a) branched double cover, realized via nonperturbative effects, rather than as the vanishing locus of a superpotential. These examples violate old unproven lore on GLSM's (e.g., that geometric phases must be related by birational transformations), and we conclude by observing that in these examples (and conjecturing more generally in GLSM's), the phases are instead related by Kuznetsov's `homological projective duality.'

10.201892

11.255542

13.547302

10.30938

10.65874

10.736457

11.610633

10.3711

9.99123

13.936834

10.393854

10.352518

10.788107

10.074893

10.582533

10.250572

10.527813

10.17211

9.977828

11.258118

10.052568

2010.11192

Cheng Peng

Ensemble averages, Poisson processes and Microstates

36 pages, 2 figures

Phys. Rev. D 103, 061901 (2021)

10.1103/PhysRevD.103.L061901

null

hep-th cond-mat.dis-nn math-ph math.MP

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

We consider ensemble averaged theories with discrete random variables. We propose a suitable measure to do the ensemble average. We also provide a mathematical description of such ensemble averages of theories in terms of Poisson point processes. Moreover, we demonstrate that averaging theories of this type has an equivalent description as tracing over parts of the microscopic degrees of freedom in a suitable continuous limit of a single microscopic theory. The results from both approaches can be identified with Liouville gravity, of which we further address some implications on the microscopic theory, including venues to look for quantum effects from the view point of the averaged theory. Generalizations to other point processes are also discussed.

[ { "created": "Wed, 21 Oct 2020 18:00:00 GMT", "version": "v1" } ]

2021-03-31

[ [ "Peng", "Cheng", "" ] ]

We consider ensemble averaged theories with discrete random variables. We propose a suitable measure to do the ensemble average. We also provide a mathematical description of such ensemble averages of theories in terms of Poisson point processes. Moreover, we demonstrate that averaging theories of this type has an equivalent description as tracing over parts of the microscopic degrees of freedom in a suitable continuous limit of a single microscopic theory. The results from both approaches can be identified with Liouville gravity, of which we further address some implications on the microscopic theory, including venues to look for quantum effects from the view point of the averaged theory. Generalizations to other point processes are also discussed.

23.281794

22.110437

21.948605

21.096851

22.283319

22.263681

22.042351

20.36738

20.977589

26.330755

19.376787

21.267117

20.457766

20.324644

20.31568

20.958651

21.225462

21.14418

20.576681

21.397474

20.952526

0711.4878

Raphael Flauger

Elena Caceres, Raphael Flauger, Matthias Ihl, Timm Wrase

New Supergravity Backgrounds Dual to N=1 SQCD-like Theories with N_f=2N_c

22+24 pages, 17 figures, Figure 12 replaced

JHEP 0803:020,2008

10.1088/1126-6708/2008/03/020

UTTG-09-07

hep-th

null

We present new supergravity backgrounds generated by N_c D5-branes, wrapping the S^2 of the resolved conifold, in the presence of N_f = 2 N_c smeared flavor D5-branes. The smearing allows us to take their backreaction on the geometry into account. We discuss the consistency, stability, and supersymmetry of these types of setups. We find near horizon geometries that we expect to be supergravity duals of SQCD-like theories with N_f= 2N_c. From these backgrounds we numerically extract rectangular Wilson loops and beta functions of the dual field theory for the regime where our approximations are valid.

[ { "created": "Fri, 30 Nov 2007 06:31:15 GMT", "version": "v1" }, { "created": "Sat, 1 Dec 2007 23:25:08 GMT", "version": "v2" } ]

2009-11-19

[ [ "Caceres", "Elena", "" ], [ "Flauger", "Raphael", "" ], [ "Ihl", "Matthias", "" ], [ "Wrase", "Timm", "" ] ]

We present new supergravity backgrounds generated by N_c D5-branes, wrapping the S^2 of the resolved conifold, in the presence of N_f = 2 N_c smeared flavor D5-branes. The smearing allows us to take their backreaction on the geometry into account. We discuss the consistency, stability, and supersymmetry of these types of setups. We find near horizon geometries that we expect to be supergravity duals of SQCD-like theories with N_f= 2N_c. From these backgrounds we numerically extract rectangular Wilson loops and beta functions of the dual field theory for the regime where our approximations are valid.

9.961736

8.806276

11.003707

8.840524

9.282603

9.288167

8.540062

9.257082

8.606577

11.810248

8.544001

9.33594

10.384336

9.648057

9.774618

9.420853

9.620411

9.707369

9.62762

10.583986

9.435369

0707.0424

Linda I. Uruchurtu

AdS/CFT for Four-Point Amplitudes involving Gravitino Exchange

32 pages, 1 figure. Published Version. Minor changes

JHEP0709:086,2007

10.1088/1126-6708/2007/09/086

DAMTP-2007-65

hep-th

null

In this paper we compute the tree-level four-point scattering amplitude of two dilatini and two axion-dilaton fields in type IIB supergravity in AdS5 x S5. A special feature of this process is that there is an "exotic" channel in which there are no singleparticle poles. Another novelty is that this process involves the exchange of a bulk gravitino. The amplitude is interpreted in terms of N = 4 supersymmetric Yang-Mills theory at large 't Hooft coupling. Properties of the Operator Product Expansion are used to analyze the various contributions from single- and double-trace operators in the weak and strongly coupled regimes, and to determine the anomalous dimensions of semi-short operators. The analysis is particularly clear in the exotic channel, given the absence of BPS states.

[ { "created": "Tue, 3 Jul 2007 14:28:26 GMT", "version": "v1" }, { "created": "Thu, 30 Aug 2007 12:38:39 GMT", "version": "v2" }, { "created": "Fri, 14 Dec 2007 10:06:50 GMT", "version": "v3" } ]

2008-11-26

[ [ "Uruchurtu", "Linda I.", "" ] ]

In this paper we compute the tree-level four-point scattering amplitude of two dilatini and two axion-dilaton fields in type IIB supergravity in AdS5 x S5. A special feature of this process is that there is an "exotic" channel in which there are no singleparticle poles. Another novelty is that this process involves the exchange of a bulk gravitino. The amplitude is interpreted in terms of N = 4 supersymmetric Yang-Mills theory at large 't Hooft coupling. Properties of the Operator Product Expansion are used to analyze the various contributions from single- and double-trace operators in the weak and strongly coupled regimes, and to determine the anomalous dimensions of semi-short operators. The analysis is particularly clear in the exotic channel, given the absence of BPS states.

7.514711

7.928432

8.287204

7.115685

7.957596

7.473906

7.110052

7.511631

6.970365

9.16332

7.202035

7.143604

7.258574

6.827519

6.977986

7.154068

6.968175

7.110136

7.005641

7.180364

6.958946

1406.6389

Tomas Andrade

Tomas Andrade, Yang Lei, Simon F. Ross

Scattering amplitudes in Lifshitz spacetime

14 pages, 8 figures

null

10.1088/0264-9381/31/21/215002

null

hep-th

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

We consider the calculation of scattering amplitudes in field theories dual to Lifshitz spacetimes. These amplitudes provide an interesting probe of the IR structure of the field theory; our aim is to use them to explore the observable consequences of the singularity in the spacetime. We assume the amplitudes can be related by T-duality to a Wilson loop, as in the AdS case, and determine the bulk minimal surfaces for the simplest cusp Wilson loop. We use this to determine the leading IR singularity in the amplitude. We find there is a stronger IR singularity for z >1 than for z=1, with a coefficient which vanishes as z goes to 1.

[ { "created": "Tue, 24 Jun 2014 20:47:06 GMT", "version": "v1" } ]

2015-06-22

[ [ "Andrade", "Tomas", "" ], [ "Lei", "Yang", "" ], [ "Ross", "Simon F.", "" ] ]

We consider the calculation of scattering amplitudes in field theories dual to Lifshitz spacetimes. These amplitudes provide an interesting probe of the IR structure of the field theory; our aim is to use them to explore the observable consequences of the singularity in the spacetime. We assume the amplitudes can be related by T-duality to a Wilson loop, as in the AdS case, and determine the bulk minimal surfaces for the simplest cusp Wilson loop. We use this to determine the leading IR singularity in the amplitude. We find there is a stronger IR singularity for z >1 than for z=1, with a coefficient which vanishes as z goes to 1.

9.027157

8.338373

9.80317

8.559893

8.855049

8.824429

8.371724

8.322142

8.176291

9.698727

7.94103

8.409163

9.140388

8.105237

8.122962

8.246013

8.339157

8.461804

8.137197

9.016822

8.041865

hep-th/0201198

Boris Noyvert

Boris Noyvert (Weizmann Institute)

Unitary minimal models of SW(3/2,3/2,2) superconformal algebra and manifolds of G_2 holonomy

34 pages, 2 figures, latex; v2: added examples in appendix D; v3: published version, corrected typos

JHEP 0203 (2002) 030

10.1088/1126-6708/2002/03/030

WIS/06/02-JAN-DPP

hep-th math-ph math.MP

null

The SW(3/2,3/2,2) superconformal algebra is a W algebra with two free parameters. It consists of 3 superconformal currents of spins 3/2, 3/2 and 2. The algebra is proved to be the symmetry algebra of the coset (su(2)+su(2)+su(2))/su(2). At the central charge c=21/2 the algebra coincides with the superconformal algebra associated to manifolds of G_2 holonomy. The unitary minimal models of the SW(3/2,3/2,2) algebra and their fusion structure are found. The spectrum of unitary representations of the G_2 holonomy algebra is obtained.

[ { "created": "Thu, 24 Jan 2002 20:45:30 GMT", "version": "v1" }, { "created": "Wed, 6 Feb 2002 14:46:37 GMT", "version": "v2" }, { "created": "Mon, 1 Apr 2002 10:50:30 GMT", "version": "v3" } ]

2009-01-20

[ [ "Noyvert", "Boris", "", "Weizmann Institute" ] ]

The SW(3/2,3/2,2) superconformal algebra is a W algebra with two free parameters. It consists of 3 superconformal currents of spins 3/2, 3/2 and 2. The algebra is proved to be the symmetry algebra of the coset (su(2)+su(2)+su(2))/su(2). At the central charge c=21/2 the algebra coincides with the superconformal algebra associated to manifolds of G_2 holonomy. The unitary minimal models of the SW(3/2,3/2,2) algebra and their fusion structure are found. The spectrum of unitary representations of the G_2 holonomy algebra is obtained.

4.995366

4.295159

6.074671

4.377934

4.269298

4.311814

4.579751

4.348479

4.181942

5.86825

4.618481

4.718355

5.251858

4.64057

4.670889

4.658562

4.661545

4.675761

4.600701

5.181708

4.564385

1604.07263

Sergio Gonz\'alez Mart\'in

Enrique \'Alvarez, Sergio Gonz\'alez-Mart\'in, Carmelo P. Mart\'in

A note on the Gauge Symmetries of Unimodular Gravity

4 pages, v2: acknowledgments corrected

Phys. Rev. D 93, 123018 (2016)

10.1103/PhysRevD.93.123018

null

hep-th gr-qc

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

The symmetries of Unimodular Gravity are clarified somewhat.

[ { "created": "Mon, 25 Apr 2016 14:00:01 GMT", "version": "v1" }, { "created": "Tue, 26 Apr 2016 15:10:46 GMT", "version": "v2" } ]

2018-02-15

[ [ "Álvarez", "Enrique", "" ], [ "González-Martín", "Sergio", "" ], [ "Martín", "Carmelo P.", "" ] ]

The symmetries of Unimodular Gravity are clarified somewhat.

62.375824

19.15094

22.517067

18.966955

18.687252

19.914442

21.549303

21.143499

19.402985

26.212473

22.189674

26.665846

35.978115

28.206861

27.271473

27.045893

28.263786

27.399969

31.451014

34.05542

27.222172

1505.03119

Alessandro Codello

Alessandro Codello, Roberto Percacci, Leslaw Rachwal and Alberto Tonero

Computing the Effective Action with the Functional Renormalization Group

40 pages

null

10.1140/epjc/s10052-016-4063-3

CP^3-Origins-2015-18 DNRF90 & DIAS-2015-18

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

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

The "exact" or "functional" renormalization group equation describes the renormalization group flow of the effective average action $\Gamma_k$. The ordinary effective action $\Gamma_0$ can be obtained by integrating the flow equation from an ultraviolet scale $k=\Lambda$ down to $k=0$. We give several examples of such calculations at one-loop, both in renormalizable and in effective field theories. We use the results of Barvinsky, Vilkovisky and Avramidi on the non-local heat kernel coefficients to reproduce the four point scattering amplitude in the case of a real scalar field theory with quartic potential and in the case of the pion chiral lagrangian. In the case of gauge theories, we reproduce the vacuum polarization of QED and of Yang-Mills theory. We also compute the two point functions for scalars and gravitons in the effective field theory of scalar fields minimally coupled to gravity.

[ { "created": "Tue, 12 May 2015 18:59:27 GMT", "version": "v1" } ]

2016-05-25

[ [ "Codello", "Alessandro", "" ], [ "Percacci", "Roberto", "" ], [ "Rachwal", "Leslaw", "" ], [ "Tonero", "Alberto", "" ] ]

The "exact" or "functional" renormalization group equation describes the renormalization group flow of the effective average action $\Gamma_k$. The ordinary effective action $\Gamma_0$ can be obtained by integrating the flow equation from an ultraviolet scale $k=\Lambda$ down to $k=0$. We give several examples of such calculations at one-loop, both in renormalizable and in effective field theories. We use the results of Barvinsky, Vilkovisky and Avramidi on the non-local heat kernel coefficients to reproduce the four point scattering amplitude in the case of a real scalar field theory with quartic potential and in the case of the pion chiral lagrangian. In the case of gauge theories, we reproduce the vacuum polarization of QED and of Yang-Mills theory. We also compute the two point functions for scalars and gravitons in the effective field theory of scalar fields minimally coupled to gravity.

4.977189

5.83519

5.944695

4.855462

5.552998

5.982822

5.7778

5.883027

5.388504

6.5175

5.274114

5.245982

4.933173

5.020873

4.967109

5.141456

5.264488

5.11684

4.928657

5.085841

4.936014

1307.2221

Kewang Jin

Matthias R. Gaberdiel, Kewang Jin, Eric Perlmutter

Probing higher spin black holes from CFT

34 pages, 1 figure

JHEP 1310:045,2013

10.1007/JHEP10(2013)045

null

hep-th

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

In a class of 2D CFTs with higher spin symmetry, we compute thermal two-point functions of certain scalar primary operators in the presence of nonzero chemical potential for higher spin charge. These are shown to agree with the same quantity calculated holographically using scalar fields propagating in a charged black hole background of 3D higher spin gravity. This match serves as further evidence for the duality between W_N minimal models at large central charge and 3D higher spin gravity. It also supports a recent prescription for computing boundary correlators of multi-trace scalar primary operators in higher spin theories.

[ { "created": "Mon, 8 Jul 2013 19:50:36 GMT", "version": "v1" } ]

2015-06-16

[ [ "Gaberdiel", "Matthias R.", "" ], [ "Jin", "Kewang", "" ], [ "Perlmutter", "Eric", "" ] ]

In a class of 2D CFTs with higher spin symmetry, we compute thermal two-point functions of certain scalar primary operators in the presence of nonzero chemical potential for higher spin charge. These are shown to agree with the same quantity calculated holographically using scalar fields propagating in a charged black hole background of 3D higher spin gravity. This match serves as further evidence for the duality between W_N minimal models at large central charge and 3D higher spin gravity. It also supports a recent prescription for computing boundary correlators of multi-trace scalar primary operators in higher spin theories.

7.333544

5.679958

8.081898

5.798433

6.060151

5.682731

5.621416

5.64348

5.897329

8.764298

5.835219

6.062963

6.817654

6.267712

6.017027

6.020008

6.063262

6.201873

6.152103

6.673495

6.183984

0906.2430

Guglielmo Fucci Dr.

Guglielmo Fucci

Non-Perturbative One-Loop Effective Action for Electrodynamics in Curved Spacetime

LaTeX, 23 pages

J. Math. Phys 50, 102301 (2009)

10.1063/1.3231787

null

hep-th

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

In this paper we explicitly evaluate the one-loop effective action in four dimensions for scalar and spinor fields under the influence of a strong, covariantly constant, magnetic field in curved spacetime. In the framework of zeta function regularization, we find the one-loop effective action to all orders in the magnetic field up to linear terms in the Riemannian curvature. As a particular case, we also obtain the one-loop effective action for massless scalar and spinor fields. In this setting, we found that the vacuum energy of charged spinors with small mass becomes very large due entirely by the gravitational correction.

[ { "created": "Fri, 12 Jun 2009 21:51:08 GMT", "version": "v1" } ]

2009-10-02

[ [ "Fucci", "Guglielmo", "" ] ]

In this paper we explicitly evaluate the one-loop effective action in four dimensions for scalar and spinor fields under the influence of a strong, covariantly constant, magnetic field in curved spacetime. In the framework of zeta function regularization, we find the one-loop effective action to all orders in the magnetic field up to linear terms in the Riemannian curvature. As a particular case, we also obtain the one-loop effective action for massless scalar and spinor fields. In this setting, we found that the vacuum energy of charged spinors with small mass becomes very large due entirely by the gravitational correction.

8.1557

6.456679

7.525825

7.214591

7.51919

8.022635

7.274843

6.791831

7.308095

8.311412

7.079962

7.436114

7.747869

7.381165

7.44462

7.477783

7.442377

7.215561

7.405375

7.836112

7.282149

1507.04053

Lilia Anguelova

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

Toward a Gravity Dual of Glueball Inflation

11 pages, contribution to the proceedings of the memorial "Matey Mateev Symposium", Sofia, April 2015

Bulg. J. Phys. 42 (2015) 277

null

hep-th

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

We summarize and extend our work on nonsupersymmetric solutions of a 5d consistent truncation of type IIB supergravity, that is relevant for gauge/gravity duality. The fields in this 5d theory are the five-dimensional metric and a set of scalars. We find solutions of the 5d equations of motion, which represent dS_4 foliations over the fifth (radial) dimension. In each solution at least one scalar has a nontrivial radial profile. These scalars are interpreted as glueballs in the dual gauge theory, living in 4d de Sitter space. We explain why this lays a foundation for building gravity duals of glueball inflation models.

[ { "created": "Wed, 15 Jul 2015 00:04:28 GMT", "version": "v1" } ]

2016-01-08

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

We summarize and extend our work on nonsupersymmetric solutions of a 5d consistent truncation of type IIB supergravity, that is relevant for gauge/gravity duality. The fields in this 5d theory are the five-dimensional metric and a set of scalars. We find solutions of the 5d equations of motion, which represent dS_4 foliations over the fifth (radial) dimension. In each solution at least one scalar has a nontrivial radial profile. These scalars are interpreted as glueballs in the dual gauge theory, living in 4d de Sitter space. We explain why this lays a foundation for building gravity duals of glueball inflation models.

8.084943

6.6434

8.3894

7.46627

7.447073

6.9983

7.467431

7.152946

7.182443

9.080959

7.055436

7.360881

7.570332

7.235001

7.675471

7.526648

7.375385

7.612754

7.180774

7.787269

7.327445

2110.08276

Pieter Bomans

Pieter Bomans, Davide Cassani, Giuseppe Dibitetto and Nicolo Petri

Bubble instability of mIIA on $\mathrm{AdS}_4\times S^6$

27 pages, 6 figures. Published version

null

hep-th

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

We consider compactifications of massive IIA supergravity on a six-sphere. This setup is known to give rise to non-supersymmetric AdS$_4$ vacua preserving SO$(7)$ as well as G$_2$ residual symmetry. Both solutions have a round $S^6$ metric and are supported by the Romans' mass and internal $F_6$ flux. While the SO$(7)$ invariant vacuum is known to be perturbatively unstable, the G$_2$ invariant one has been found to have a fully stable Kaluza-Klein spectrum. Moreover, it has been shown to be protected against brane-jet instabilities. Motivated by these results, we study possible bubbling solutions connected to the G$_2$ vacuum, representing non-perturbative instabilities of the latter. We indeed find an instability channel represented by the nucleation of a bubble of nothing dressed up with a homogeneous D2 brane charge distribution in the internal space. Our solution generalizes to the case where $S^6$ is replaced by any six-dimensional nearly-K\"ahler manifold.

[ { "created": "Fri, 15 Oct 2021 18:00:01 GMT", "version": "v1" }, { "created": "Tue, 5 Apr 2022 10:22:30 GMT", "version": "v2" } ]

2022-04-06

[ [ "Bomans", "Pieter", "" ], [ "Cassani", "Davide", "" ], [ "Dibitetto", "Giuseppe", "" ], [ "Petri", "Nicolo", "" ] ]

We consider compactifications of massive IIA supergravity on a six-sphere. This setup is known to give rise to non-supersymmetric AdS$_4$ vacua preserving SO$(7)$ as well as G$_2$ residual symmetry. Both solutions have a round $S^6$ metric and are supported by the Romans' mass and internal $F_6$ flux. While the SO$(7)$ invariant vacuum is known to be perturbatively unstable, the G$_2$ invariant one has been found to have a fully stable Kaluza-Klein spectrum. Moreover, it has been shown to be protected against brane-jet instabilities. Motivated by these results, we study possible bubbling solutions connected to the G$_2$ vacuum, representing non-perturbative instabilities of the latter. We indeed find an instability channel represented by the nucleation of a bubble of nothing dressed up with a homogeneous D2 brane charge distribution in the internal space. Our solution generalizes to the case where $S^6$ is replaced by any six-dimensional nearly-K\"ahler manifold.

6.948184

5.800689

7.718473

6.002466

6.151967

6.250507

6.079886

6.007042

5.977247

7.43424

6.18952

6.300733

6.905267

6.330116

6.34468

6.35181

6.500544

6.55045

6.269936

6.896438

6.389477

1804.03834

Tim Morris Prof

Tim R. Morris

Perturbatively renormalizable quantum gravity

5 pages; Received Honourable mention in Gravity Research Foundation essay competition-2018

Int.J.Mod.Phys. D27 (2018) 1847003

10.1142/S021827181847003X

null

hep-th gr-qc

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

The Wilsonian renormalization group (RG) requires Euclidean signature. The conformal factor of the metric then has a wrong-sign kinetic term, which has a profound effect on its RG properties. In particular around the Gaussian fixed point, it supports a Hilbert space of renormalizable interactions involving arbitrarily high powers of the gravitational fluctuations. These interactions are characterised by being exponentially suppressed for large field amplitude, perturbative in Newton's constant but non-perturbative in Planck's constant. By taking a limit to the boundary of the Hilbert space, diffeomorphism invariance is recovered whilst retaining renormalizability. Thus the so-called conformal factor instability points the way to constructing a perturbatively renormalizable theory of quantum gravity.

[ { "created": "Wed, 11 Apr 2018 06:52:42 GMT", "version": "v1" }, { "created": "Wed, 16 May 2018 12:09:20 GMT", "version": "v2" } ]

2018-12-04

[ [ "Morris", "Tim R.", "" ] ]

The Wilsonian renormalization group (RG) requires Euclidean signature. The conformal factor of the metric then has a wrong-sign kinetic term, which has a profound effect on its RG properties. In particular around the Gaussian fixed point, it supports a Hilbert space of renormalizable interactions involving arbitrarily high powers of the gravitational fluctuations. These interactions are characterised by being exponentially suppressed for large field amplitude, perturbative in Newton's constant but non-perturbative in Planck's constant. By taking a limit to the boundary of the Hilbert space, diffeomorphism invariance is recovered whilst retaining renormalizability. Thus the so-called conformal factor instability points the way to constructing a perturbatively renormalizable theory of quantum gravity.

9.180788

8.853308

9.723395

8.065831

8.364438

9.041483

8.229758

8.894952

8.163746

10.717011

8.275395

8.108234

9.189633

8.682169

8.738176

8.293763

8.801729

8.432555

8.712507

9.38634

8.55883

hep-th/0209168

Elena Poletaeva

Superconformal algebras and Lie superalgebras of the Hodge theory

Published by JNMP at http://www.sm.luth.se/math/JNMP/

J.Nonlin.Math.Phys. 10 (2003) 141-147

10.2991/jnmp.2003.10.2.2

null

hep-th

null

We observe a correspondence between the zero modes of superconformal algebras $S'(2, 1)$ and W(4) and the Lie superalgebras formed by classical operators appearing in the K{\"a}hler and hyper-K{\"a}hler geometry.

[ { "created": "Fri, 20 Sep 2002 09:55:05 GMT", "version": "v1" }, { "created": "Wed, 14 May 2003 09:54:35 GMT", "version": "v2" }, { "created": "Fri, 24 Oct 2003 23:18:48 GMT", "version": "v3" } ]

2015-06-26

[ [ "Poletaeva", "Elena", "" ] ]

We observe a correspondence between the zero modes of superconformal algebras $S'(2, 1)$ and W(4) and the Lie superalgebras formed by classical operators appearing in the K{\"a}hler and hyper-K{\"a}hler geometry.

13.085995

11.295879

13.496625

11.942255

12.564483

12.790652

11.48739

11.866586

10.461953

16.311663

11.872525

11.407463

13.431784

12.025949

11.881488

11.768295

11.481933

11.574591

11.924568

12.842263

11.916129

hep-th/9312138

A. Leonidov

E.I.Guendelman, A.Leonidov, V.Nechitailo and D.A.Owen

On the Heat Kernel in Covariant Background Gauge

6 pages, plain LaTeX, BI-TP 93/54, BGUPHYS-93/10-2

Phys.Lett.B324:160-163,1994

10.1016/0370-2693(94)90402-2

null

hep-th hep-ph

null

The first three coefficients in an expansion of the heat kernel of a nonminimal nonabelian kinetic operator taken in an arbitrary background gauge in arbitrary space-time dimension are calculated

[ { "created": "Wed, 15 Dec 1993 16:55:42 GMT", "version": "v1" } ]

2010-11-01

[ [ "Guendelman", "E. I.", "" ], [ "Leonidov", "A.", "" ], [ "Nechitailo", "V.", "" ], [ "Owen", "D. A.", "" ] ]

The first three coefficients in an expansion of the heat kernel of a nonminimal nonabelian kinetic operator taken in an arbitrary background gauge in arbitrary space-time dimension are calculated

29.060593

15.388573

17.492702

13.560019

21.301161

14.716718

13.876829

13.576975

15.315459

22.809345

13.944833

16.304699

19.984438

18.724279

18.050407

16.294716

17.286858

18.804192

18.174194

21.346714

18.566521

1212.4111

Alberto Palomo-Lozano

Killing Spinors -- Beyond Supergravity

Ph.D. thesis, IFT UAM/CSIC, June 2012 (v2: minor changes)

null

hep-th gr-qc

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

This is a doctoral thesis on the application of techniques originally developed in the programme of characterisation of supersymmetric solutions to Supergravity theories, to finding alternative backgrounds. We start by discussing the concept of a Killing spinor, and how these are paramount to the process of classifying the aforementioned supersymmetric solutions. Moreover, these geometric objects also have applications when considered in different scenarios (the 'beyond' in the title). In particular, techniques based on a different parallelising rule for a spinorial field can be used for obtaining solutions to Einstein-Maxwell-De Sitter theories, as well as a (partial) classification of lorentzian Einstein-Weyl manifolds, a problem of geometrical interest. The annexe contain an introduction and summary in Spanish language. The appendices discuss the tensorial and spinorial conventions employed, some relevant geometrical information on the scalar manifolds for the matter contents of interest, as well as for the null case solutions, including Kundt waves. Also, a short introduction to Weyl geometry and the Similitude group, as well as the Lorentz and Spin groups, is given.

[ { "created": "Mon, 17 Dec 2012 19:22:53 GMT", "version": "v1" }, { "created": "Wed, 6 Mar 2013 19:16:31 GMT", "version": "v2" } ]

2013-03-07

[ [ "Palomo-Lozano", "Alberto", "" ] ]

This is a doctoral thesis on the application of techniques originally developed in the programme of characterisation of supersymmetric solutions to Supergravity theories, to finding alternative backgrounds. We start by discussing the concept of a Killing spinor, and how these are paramount to the process of classifying the aforementioned supersymmetric solutions. Moreover, these geometric objects also have applications when considered in different scenarios (the 'beyond' in the title). In particular, techniques based on a different parallelising rule for a spinorial field can be used for obtaining solutions to Einstein-Maxwell-De Sitter theories, as well as a (partial) classification of lorentzian Einstein-Weyl manifolds, a problem of geometrical interest. The annexe contain an introduction and summary in Spanish language. The appendices discuss the tensorial and spinorial conventions employed, some relevant geometrical information on the scalar manifolds for the matter contents of interest, as well as for the null case solutions, including Kundt waves. Also, a short introduction to Weyl geometry and the Similitude group, as well as the Lorentz and Spin groups, is given.

17.433849

19.044458

17.896299

16.561405

17.819288

18.73588

20.648537

15.757912

18.22777

18.402121

17.947989

16.80615

16.563671

15.980447

16.730272

16.771599

16.510208

16.314642

16.359175

17.046635

16.211708

hep-th/9702003

Shoichi Ichinose

Shoichi Ichinose and Noriaki Ikeda

Graphical Classification of Global SO(n) Invariants and Independent General Invariants

LaTex, epsf, 60 pages, many figures

J.Math.Phys. 38 (1997) 6475-6521

10.1063/1.532183

DAMTP/97-3

hep-th

null

This paper treats some basic points in general relativity and in its perturbative analysis. Firstly a systematic classification of global SO(n) invariants, which appear in the weak-field expansion of n-dimensional gravitational theories, is presented. Through the analysis, we explain the following points: a) a graphical representation is introduced to express invariants clearly; b) every graph of invariants is specified by a set of indices; c) a number, called weight, is assigned to each invariant. It expresses the symmetry with respect to the suffix-permutation within an invariant. Interesting relations among the weights of invariants are given. Those relations show the consistency and the completeness of the present classification; d) some reduction procedures are introduced in graphs for the purpose of classifying them. Secondly the above result is applied to the proof of the independence of general invariants with the mass-dimension $M^6$ for the general geometry in a general space dimension. We take a graphical representation for general invariants too. Finally all relations depending on each space-dimension are systematically obtained for 2, 4 and 6 dimensions.

[ { "created": "Fri, 31 Jan 1997 15:40:25 GMT", "version": "v1" }, { "created": "Mon, 3 Feb 1997 11:00:42 GMT", "version": "v2" } ]

2009-10-30

[ [ "Ichinose", "Shoichi", "" ], [ "Ikeda", "Noriaki", "" ] ]

This paper treats some basic points in general relativity and in its perturbative analysis. Firstly a systematic classification of global SO(n) invariants, which appear in the weak-field expansion of n-dimensional gravitational theories, is presented. Through the analysis, we explain the following points: a) a graphical representation is introduced to express invariants clearly; b) every graph of invariants is specified by a set of indices; c) a number, called weight, is assigned to each invariant. It expresses the symmetry with respect to the suffix-permutation within an invariant. Interesting relations among the weights of invariants are given. Those relations show the consistency and the completeness of the present classification; d) some reduction procedures are introduced in graphs for the purpose of classifying them. Secondly the above result is applied to the proof of the independence of general invariants with the mass-dimension $M^6$ for the general geometry in a general space dimension. We take a graphical representation for general invariants too. Finally all relations depending on each space-dimension are systematically obtained for 2, 4 and 6 dimensions.

16.003632

16.362625

15.941198

15.724503

17.478189

17.423441

17.009026

16.352373

15.679594

17.840904

15.862918

15.444324

15.527137

15.346544

15.370367

15.761342

15.499904

15.43611

15.221093

15.850337

15.599838

2301.00663

Jiakang Bao

A Survey of Toric Quivers and BPS Algebras

40 pages; v4: minor corrections

null

hep-th math-ph math.MP

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

In this note, we discuss some properties of the quiver BPS algebras. We consider how they would transform under different operations on the toric quivers, such as dualities and higgsing. We also give free field realizations of the algebras, in particular for the chiral quivers.

[ { "created": "Mon, 2 Jan 2023 13:34:35 GMT", "version": "v1" }, { "created": "Thu, 16 Feb 2023 10:32:58 GMT", "version": "v2" }, { "created": "Thu, 16 Mar 2023 15:34:18 GMT", "version": "v3" }, { "created": "Mon, 10 Apr 2023 13:39:08 GMT", "version": "v4" } ]

2023-04-11

[ [ "Bao", "Jiakang", "" ] ]

In this note, we discuss some properties of the quiver BPS algebras. We consider how they would transform under different operations on the toric quivers, such as dualities and higgsing. We also give free field realizations of the algebras, in particular for the chiral quivers.

12.18573

8.851877

11.074595

8.873705

8.977037

8.137445

8.67722

9.301214

9.608129

13.761913

8.602851

9.476397

11.027559

9.559874

9.638249

9.499323

9.50643

9.604192

9.496757

11.129071

9.005319

hep-th/9806228

Frank Wilczek

Projective Statistics and Spinors in Hilbert Space

LaTeX, 3 pages

null

IASSNS-HEP98-61

hep-th cond-mat

null

In quantum mechanics, symmetry groups can be realized by projective, as well as by ordinary unitary, representations. For the permutation symmetry relevant to quantum statistics of N indistinguishable particles, the simplest properly projective representation is highly non-trivial, of dimension $2^{(N-1)/2}$, and is most easily realized starting with spinor geometry. Quasiparticles in the Pfaffian quantum Hall state realize this representation. Projective statistics is a consistent theoretical possibility in any dimension.

[ { "created": "Mon, 29 Jun 1998 14:06:26 GMT", "version": "v1" } ]

2007-05-23

[ [ "Wilczek", "Frank", "" ] ]

In quantum mechanics, symmetry groups can be realized by projective, as well as by ordinary unitary, representations. For the permutation symmetry relevant to quantum statistics of N indistinguishable particles, the simplest properly projective representation is highly non-trivial, of dimension $2^{(N-1)/2}$, and is most easily realized starting with spinor geometry. Quasiparticles in the Pfaffian quantum Hall state realize this representation. Projective statistics is a consistent theoretical possibility in any dimension.

12.735875

14.995882

13.800688

12.774504

15.715156

13.087642

13.67424

12.968458

12.824471

15.508265

12.853043

11.662196

12.072376

11.316573

11.491603

11.240266

11.026229

11.308754

11.817924

12.383832

11.914686

1610.01647

Prabal Adhikari

Prabal Adhikari and Jens O. Andersen

Chiral density wave versus pion condensation in the 1+1 dimensional NJL model

14 pages and 11 figs

Phys. Rev. D 95, 054020 (2017)

10.1103/PhysRevD.95.054020

null

hep-th hep-ph

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

In this paper, we study the possibility of an inhomogeneous quark condensate in the 1+1 dimensional Nambu-Jona-Lasinio model in the large-$N_c$ limit at finite temperature $T$ and quark chemical potential $\mu$ using dimensional regularization. The phase diagram in the $\mu$--$T$ plane is mapped out. At zero temperature, an inhomogeneous phase with a chiral-density wave exists for all values of $\mu>\mu_c$. Performing a Ginzburg-Landau analysis, we show that in the chiral limit, the critical point and the Lifschitz point coincide. We also consider the competition between a chiral-density wave and a constant pion condensate at finite isospin chemical potential $\mu_I$. The phase diagram in the $\mu_I$--$\mu$ plane is mapped out and shows a rich phase structure.

[ { "created": "Sat, 24 Sep 2016 12:33:52 GMT", "version": "v1" }, { "created": "Mon, 5 Jun 2017 13:32:44 GMT", "version": "v2" } ]

2017-06-06

[ [ "Adhikari", "Prabal", "" ], [ "Andersen", "Jens O.", "" ] ]

In this paper, we study the possibility of an inhomogeneous quark condensate in the 1+1 dimensional Nambu-Jona-Lasinio model in the large-$N_c$ limit at finite temperature $T$ and quark chemical potential $\mu$ using dimensional regularization. The phase diagram in the $\mu$--$T$ plane is mapped out. At zero temperature, an inhomogeneous phase with a chiral-density wave exists for all values of $\mu>\mu_c$. Performing a Ginzburg-Landau analysis, we show that in the chiral limit, the critical point and the Lifschitz point coincide. We also consider the competition between a chiral-density wave and a constant pion condensate at finite isospin chemical potential $\mu_I$. The phase diagram in the $\mu_I$--$\mu$ plane is mapped out and shows a rich phase structure.

4.00553

4.110352

3.529872

3.770295

3.901402

4.081003

3.940407

4.343009

3.669439

3.832704

3.885751

3.724134

3.850476

3.753133

3.779691

3.92832

3.823878

3.902978

3.706507

3.806853

3.936083

2212.13165

Stefan Evans

Johann Rafelski, Stefan Evans, Lance Labun

Study of QED singular properties for variable gyromagnetic ratio $g\simeq 2$

12 pages, 3 figures. This paper builds on the work in arXiv:1205.1835, motivated by recent advances in the Dirac-Pauli-based QED effective action, and with extended author list

Physical Review D 107, No. 7 (2023) 107.076002

10.1103/PhysRevD.107.076002

null

hep-th hep-ph

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

Using the external field method, {\it i.e.\/} evaluating the effective action $V_{\mathrm{eff}}$ for an arbitrarily strong constant and homogeneous field, we explore nonperturbative properties of QED allowing arbitrary gyromagnetic ratio $g$. We find a cusp at $g = 2$ in: a) The QED $b_0$-renormalization group coefficient, and in the infinite wavelength limit in b) a subclass containing the pseudoscalar ${\cal P}^{2n}= (\vec E\cdot\vec B)^{2n} $ of light-light scattering coefficients. Properties of $b_0$ imply for certain domains of $g$ asymptotic freedom in an Abelian theory.

[ { "created": "Mon, 26 Dec 2022 13:54:29 GMT", "version": "v1" } ]

2023-04-06

[ [ "Rafelski", "Johann", "" ], [ "Evans", "Stefan", "" ], [ "Labun", "Lance", "" ] ]

Using the external field method, {\it i.e.\/} evaluating the effective action $V_{\mathrm{eff}}$ for an arbitrarily strong constant and homogeneous field, we explore nonperturbative properties of QED allowing arbitrary gyromagnetic ratio $g$. We find a cusp at $g = 2$ in: a) The QED $b_0$-renormalization group coefficient, and in the infinite wavelength limit in b) a subclass containing the pseudoscalar ${\cal P}^{2n}= (\vec E\cdot\vec B)^{2n} $ of light-light scattering coefficients. Properties of $b_0$ imply for certain domains of $g$ asymptotic freedom in an Abelian theory.

13.902824

14.749316

12.053454

11.885685

13.994745

13.990118

13.314769

13.079188

11.839061

13.194806

12.894642

12.922318

12.644676

12.733361

12.927872

13.070852

12.976332

12.713332

12.602572

13.021772

12.605732

1112.4713

Stefano Bellucci

Stefano Bellucci, Armen Nersessian and Vahagn Yeghikyan

Action-angle variables for the particle near extreme Kerr throat

8 pages, PACS numbers: 04.70.Bw, 45.10.Na; we corrected a mistake

Mod.Phys.Lett. A27:1250191,2012

10.1142/S021773231250191X

null

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

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

We construct the action-angle variables for the spherical part of conformal mechanics describing the motion of a particle near extreme Kerr throat. We indicate the existence of the critical point $|p_\varphi|=mc R_{\rm Sch}$ (with $m$ being the mass of the particle, $c$ denoting the speed of light, $R_{\rm Sch}=2\gamma M /c^2$ being the Schwarzschild radius of a black hole with mass $M$, and $\gamma$ denoting the gravitational constant), where these variables are expressed in terms of elementary functions. Away from this point the action-angle variables are defined by elliptic integrals. The proposed formulation allows one to easily reconstruct the whole dynamics of the particle both in initial coordinates, as well as in the so-called conformal basis, where the Hamiltonian takes the form of conventional non-relativistic conformal mechanics. The related issues, such as semiclassical quantization and supersymmetrization are also discussed.

[ { "created": "Tue, 20 Dec 2011 14:56:50 GMT", "version": "v1" }, { "created": "Wed, 20 Jun 2012 10:01:56 GMT", "version": "v2" } ]

2014-12-01

[ [ "Bellucci", "Stefano", "" ], [ "Nersessian", "Armen", "" ], [ "Yeghikyan", "Vahagn", "" ] ]

We construct the action-angle variables for the spherical part of conformal mechanics describing the motion of a particle near extreme Kerr throat. We indicate the existence of the critical point $|p_\varphi|=mc R_{\rm Sch}$ (with $m$ being the mass of the particle, $c$ denoting the speed of light, $R_{\rm Sch}=2\gamma M /c^2$ being the Schwarzschild radius of a black hole with mass $M$, and $\gamma$ denoting the gravitational constant), where these variables are expressed in terms of elementary functions. Away from this point the action-angle variables are defined by elliptic integrals. The proposed formulation allows one to easily reconstruct the whole dynamics of the particle both in initial coordinates, as well as in the so-called conformal basis, where the Hamiltonian takes the form of conventional non-relativistic conformal mechanics. The related issues, such as semiclassical quantization and supersymmetrization are also discussed.

7.157991

7.063861

7.825649

6.963088

7.77646

6.933823

7.079476

6.839511

6.779945

8.163542

7.147691

6.930026

7.332572

6.934014

6.747781

6.803992

7.121097

6.910965

6.997051

7.405248

7.002203

0706.2493

Christian Saemann

Denjoe O'Connor and Christian Saemann

Fuzzy Scalar Field Theory as a Multitrace Matrix Model

1+25 pages, replaced with published version, minor improvements

JHEP 0708:066,2007

10.1088/1126-6708/2007/08/066

null

hep-th

null

We develop an analytical approach to scalar field theory on the fuzzy sphere based on considering a perturbative expansion of the kinetic term. This expansion allows us to integrate out the angular degrees of freedom in the hermitian matrices encoding the scalar field. The remaining model depends only on the eigenvalues of the matrices and corresponds to a multitrace hermitian matrix model. Such a model can be solved by standard techniques as e.g. the saddle-point approximation. We evaluate the perturbative expansion up to second order and present the one-cut solution of the saddle-point approximation in the large N limit. We apply our approach to a model which has been proposed as an appropriate regularization of scalar field theory on the plane within the framework of fuzzy geometry.

[ { "created": "Sun, 17 Jun 2007 17:24:40 GMT", "version": "v1" }, { "created": "Tue, 4 Sep 2007 09:59:26 GMT", "version": "v2" } ]

2009-11-18

[ [ "O'Connor", "Denjoe", "" ], [ "Saemann", "Christian", "" ] ]

We develop an analytical approach to scalar field theory on the fuzzy sphere based on considering a perturbative expansion of the kinetic term. This expansion allows us to integrate out the angular degrees of freedom in the hermitian matrices encoding the scalar field. The remaining model depends only on the eigenvalues of the matrices and corresponds to a multitrace hermitian matrix model. Such a model can be solved by standard techniques as e.g. the saddle-point approximation. We evaluate the perturbative expansion up to second order and present the one-cut solution of the saddle-point approximation in the large N limit. We apply our approach to a model which has been proposed as an appropriate regularization of scalar field theory on the plane within the framework of fuzzy geometry.

7.852643

7.118894

8.851862

6.740311

7.587039

7.17937

6.937022

7.214038

7.303088

9.244573

7.067448

7.29778

7.63661

7.260531

7.334761

7.269596

7.16362

7.019895

7.427982

8.144289

7.431479

1806.08292

Matteo Bertolini

Riccardo Argurio, Matteo Bertolini, Francesco Bigazzi, Aldo L. Cotrone, Pierluigi Niro

QCD domain walls, Chern-Simons theories and holography

25 pages, 2 figures. v2: refs added, typos corrected, some clarifications in section 3. v3: minor improvements, ref added

null

10.1007/JHEP09(2018)090

null

hep-th

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

Massive QCD at $\theta=\pi$ breaks CP spontaneously and admits domain walls whose dynamics and phases depend on the number of flavors and their masses. We discuss these issues within the Witten-Sakai-Sugimoto model of holographic QCD. Besides showing that this model reproduces all QCD expectations, we address two interesting claims in the literature. The first is about the possibility that the QCD domain-wall theory is fully captured by three-dimensional physics, only. The second regards the existence of quantum phases in certain Chern-Simons theories coupled to fundamental matter. Both claims are supported by the string theory construction.

[ { "created": "Thu, 21 Jun 2018 15:34:16 GMT", "version": "v1" }, { "created": "Mon, 9 Jul 2018 13:41:58 GMT", "version": "v2" }, { "created": "Thu, 13 Sep 2018 15:13:12 GMT", "version": "v3" } ]

2018-10-17

[ [ "Argurio", "Riccardo", "" ], [ "Bertolini", "Matteo", "" ], [ "Bigazzi", "Francesco", "" ], [ "Cotrone", "Aldo L.", "" ], [ "Niro", "Pierluigi", "" ] ]

Massive QCD at $\theta=\pi$ breaks CP spontaneously and admits domain walls whose dynamics and phases depend on the number of flavors and their masses. We discuss these issues within the Witten-Sakai-Sugimoto model of holographic QCD. Besides showing that this model reproduces all QCD expectations, we address two interesting claims in the literature. The first is about the possibility that the QCD domain-wall theory is fully captured by three-dimensional physics, only. The second regards the existence of quantum phases in certain Chern-Simons theories coupled to fundamental matter. Both claims are supported by the string theory construction.

12.066578

9.516798

11.591493

10.968843

10.331273

10.25111

10.786725

10.136771

10.049417

12.312667

10.047984

9.898602

10.712457

10.728342

10.716946

10.427115

9.884685

10.096365

10.19428

11.302902

10.01352

hep-th/9709201

null

E Rodulfo, R Delbourgo (University of Tasmania)

One-loop effective multi-gluon Lagrangian in arbitrary dimensions

16 pages, LaTeX

Int.J.Mod.Phys.A14:4457-4472,1999

10.1142/S0217751X99002086

UTAS-PHYS-97-14

hep-th

null

We exhibit the one-loop multi-gluon effective Lagrangian in any dimension for a field theory with a quasilocal background, using the background-field formalism. Specific results, including counter terms (up to 12 spacetime dimensions), have been derived, applied to the Yang-Mills theory and found to be in agreement with other string-inspired approaches.

[ { "created": "Mon, 29 Sep 1997 05:02:50 GMT", "version": "v1" } ]

2008-11-26

[ [ "Rodulfo", "E", "", "University of Tasmania" ], [ "Delbourgo", "R", "", "University of Tasmania" ] ]

We exhibit the one-loop multi-gluon effective Lagrangian in any dimension for a field theory with a quasilocal background, using the background-field formalism. Specific results, including counter terms (up to 12 spacetime dimensions), have been derived, applied to the Yang-Mills theory and found to be in agreement with other string-inspired approaches.

19.64957

16.030165

19.200357

16.771122

18.070976

18.052963

20.015476

16.325428

15.477736

19.932951

16.787485

17.906055

17.631819

16.862711

17.31245

16.983347

17.713558

16.927216

17.18424

18.707991

17.354008

hep-th/0506067

Sergei Sibiryakov

D.S. Gorbunov, S.M. Sibiryakov

Ultra-large distance modification of gravity from Lorentz symmetry breaking at the Planck scale

28 pages

JHEP 0509 (2005) 082

10.1088/1126-6708/2005/09/082

null

hep-th

null

We present an extension of the Randall--Sundrum model in which, due to spontaneous Lorentz symmetry breaking, graviton mixes with bulk vector fields and becomes quasilocalized. The masses of KK modes comprising the four-dimensional graviton are naturally exponentially small. This allows to push the Lorentz breaking scale to as high as a few tenth of the Planck mass. The model does not contain ghosts or tachyons and does not exhibit the van Dam--Veltman--Zakharov discontinuity. The gravitational attraction between static point masses becomes gradually weaker with increasing of separation and gets replaced by repulsion (antigravity) at exponentially large distances.

[ { "created": "Wed, 8 Jun 2005 18:56:19 GMT", "version": "v1" } ]

2009-11-11

[ [ "Gorbunov", "D. S.", "" ], [ "Sibiryakov", "S. M.", "" ] ]

We present an extension of the Randall--Sundrum model in which, due to spontaneous Lorentz symmetry breaking, graviton mixes with bulk vector fields and becomes quasilocalized. The masses of KK modes comprising the four-dimensional graviton are naturally exponentially small. This allows to push the Lorentz breaking scale to as high as a few tenth of the Planck mass. The model does not contain ghosts or tachyons and does not exhibit the van Dam--Veltman--Zakharov discontinuity. The gravitational attraction between static point masses becomes gradually weaker with increasing of separation and gets replaced by repulsion (antigravity) at exponentially large distances.

7.822832

8.492037

8.068768

7.942266

7.547221

8.050494

7.43313

8.074391

8.25661

8.75106

7.841896

7.478891

7.607354

7.615195

7.7717

7.663562

7.799754

7.69878

7.565866

7.909103

7.643905

hep-th/0612241

Wolfgang Schleifenbaum

D. Epple, H. Reinhardt, W. Schleifenbaum

Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge

9 pages, 3 figures, references added.

Phys.Rev.D75:045011,2007

10.1103/PhysRevD.75.045011

null

hep-th hep-lat hep-ph

null

The Dyson-Schwinger equations arising from minimizing the vacuum energy density in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge are solved numerically. A new solution is presented which gives rise to a strictly linearly rising static quark potential and whose existence was previously observed in the infrared analysis of the Dyson-Schwinger equations. For the new solution we also present the static quark potential and calculate the running coupling constant from the ghost-gluon vertex.

[ { "created": "Thu, 21 Dec 2006 18:26:13 GMT", "version": "v1" }, { "created": "Mon, 2 Apr 2007 10:31:20 GMT", "version": "v2" } ]

2008-11-26

[ [ "Epple", "D.", "" ], [ "Reinhardt", "H.", "" ], [ "Schleifenbaum", "W.", "" ] ]

The Dyson-Schwinger equations arising from minimizing the vacuum energy density in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge are solved numerically. A new solution is presented which gives rise to a strictly linearly rising static quark potential and whose existence was previously observed in the infrared analysis of the Dyson-Schwinger equations. For the new solution we also present the static quark potential and calculate the running coupling constant from the ghost-gluon vertex.

8.190063

7.582872

7.744653

7.187712

7.643693

7.601853

7.504277

6.698482

6.586559

8.301041

6.849439

7.371313

7.683689

7.53163

7.814809

7.429899

7.75924

7.488392

7.629048

7.772432

7.323884

1307.6263

Kevin Morand

Xavier Bekaert and Kevin Morand

Embedding nonrelativistic physics inside a gravitational wave

56 pages, 9 figures, v3:Minor corrections

Phys. Rev. D 88, 063008 (2013)

10.1103/PhysRevD.88.063008

null

hep-th

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

Gravitational waves with parallel rays are known to have remarkable properties: Their orbit space of null rays possesses the structure of a non-relativistic spacetime of codimension-one. Their geodesics are in one-to-one correspondence with dynamical trajectories of a non-relativistic system. Similarly, the null dimensional reduction of Klein-Gordon's equation on this class of gravitational waves leads to a Schroedinger equation on curved space. These properties are generalized to the class of gravitational waves with a null Killing vector field, of which we propose a new geometric definition, as conformally equivalent to the previous class and such that the Killing vector field is preserved. This definition is instrumental for performing this generalization, as well as various applications. In particular, results on geodesic completeness are extended in a similar way. Moreover, the classification of the subclass with constant scalar invariants is investigated.

[ { "created": "Tue, 23 Jul 2013 22:39:05 GMT", "version": "v1" }, { "created": "Tue, 17 Sep 2013 17:44:25 GMT", "version": "v2" }, { "created": "Sun, 28 Dec 2014 21:19:31 GMT", "version": "v3" } ]

2016-02-22

[ [ "Bekaert", "Xavier", "" ], [ "Morand", "Kevin", "" ] ]

Gravitational waves with parallel rays are known to have remarkable properties: Their orbit space of null rays possesses the structure of a non-relativistic spacetime of codimension-one. Their geodesics are in one-to-one correspondence with dynamical trajectories of a non-relativistic system. Similarly, the null dimensional reduction of Klein-Gordon's equation on this class of gravitational waves leads to a Schroedinger equation on curved space. These properties are generalized to the class of gravitational waves with a null Killing vector field, of which we propose a new geometric definition, as conformally equivalent to the previous class and such that the Killing vector field is preserved. This definition is instrumental for performing this generalization, as well as various applications. In particular, results on geodesic completeness are extended in a similar way. Moreover, the classification of the subclass with constant scalar invariants is investigated.

11.73785

11.828803

10.894359

10.987577

10.9159

12.252964

12.239732

11.395358

11.42339

12.252032

11.173457

10.969016

10.949013

10.936015

11.468328

10.796346

11.382558

11.108206

10.962287

10.924059

10.92788

1212.0093

Romain Vasseur

Azat M. Gainutdinov, Jesper Lykke Jacobsen, Hubert Saleur and Romain Vasseur

A physical approach to the classification of indecomposable Virasoro representations from the blob algebra

65 pages, 19 figures. New appendix

Nuclear Physics B 873 (3), 614--681 (2013)

10.1016/j.nuclphysb.2013.04.017

null

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

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

In the context of Conformal Field Theory (CFT), many results can be obtained from the representation theory of the Virasoro algebra. While the interest in Logarithmic CFTs has been growing recently, the Virasoro representations corresponding to these quantum field theories remain dauntingly complicated, thus hindering our understanding of various critical phenomena. We extend in this paper the construction of Read and Saleur (2007), and uncover a deep relationship between the Virasoro algebra and a finite-dimensional algebra characterizing the properties of two-dimensional statistical models, the so-called blob algebra (a proper extension of the Temperley--Lieb algebra). This allows us to explore vast classes of Virasoro representations (projective, tilting, generalized staggered modules, etc.), and to conjecture a classification of all possible indecomposable Virasoro modules (with, in particular, L_0 Jordan cells of arbitrary rank) that may appear in a consistent physical Logarithmic CFT where Virasoro is the maximal local chiral algebra. As by-products, we solve and analyze algebraically quantum-group symmetric XXZ spin chains and sl(2|1) supersymmetric spin chains with extra spins at the boundary, together with the "mirror" spin chain introduced by Martin and Woodcock (2004).

[ { "created": "Sat, 1 Dec 2012 11:08:57 GMT", "version": "v1" }, { "created": "Tue, 15 Jan 2013 08:44:05 GMT", "version": "v2" }, { "created": "Wed, 23 Jan 2013 14:28:39 GMT", "version": "v3" }, { "created": "Sat, 23 Mar 2013 10:36:32 GMT", "version": "v4" } ]

2013-06-12

[ [ "Gainutdinov", "Azat M.", "" ], [ "Jacobsen", "Jesper Lykke", "" ], [ "Saleur", "Hubert", "" ], [ "Vasseur", "Romain", "" ] ]

In the context of Conformal Field Theory (CFT), many results can be obtained from the representation theory of the Virasoro algebra. While the interest in Logarithmic CFTs has been growing recently, the Virasoro representations corresponding to these quantum field theories remain dauntingly complicated, thus hindering our understanding of various critical phenomena. We extend in this paper the construction of Read and Saleur (2007), and uncover a deep relationship between the Virasoro algebra and a finite-dimensional algebra characterizing the properties of two-dimensional statistical models, the so-called blob algebra (a proper extension of the Temperley--Lieb algebra). This allows us to explore vast classes of Virasoro representations (projective, tilting, generalized staggered modules, etc.), and to conjecture a classification of all possible indecomposable Virasoro modules (with, in particular, L_0 Jordan cells of arbitrary rank) that may appear in a consistent physical Logarithmic CFT where Virasoro is the maximal local chiral algebra. As by-products, we solve and analyze algebraically quantum-group symmetric XXZ spin chains and sl(2|1) supersymmetric spin chains with extra spins at the boundary, together with the "mirror" spin chain introduced by Martin and Woodcock (2004).

10.43497

10.920718

12.726575

10.499445

11.963286

10.836062

11.486835

10.69702

10.772869

12.397409

10.259794

10.148424

10.946903

10.152906

10.245231

10.087976

10.242231

9.970563

10.225908

10.901125

9.915385

hep-th/9604108

Claudia Daboul

Claudia Daboul (Universitaet Hamburg, GERMANY)

Algebraic Proof of the Symmetric Space Theorem

13 pages. Latex2e. To be published in Journal of Mathematical Physics

J.Math.Phys. 37 (1996) 3576-3586

10.1063/1.531583

null

hep-th

null

I give a relatively elementary proof of the symmetric space theorem, due to Goddard, Nahm and Olive \cite{GNO}. Unlike their original proof, which involves the quark-model construction, I only use elementary algebraic techniques.

[ { "created": "Thu, 18 Apr 1996 23:24:47 GMT", "version": "v1" } ]

2009-10-30

[ [ "Daboul", "Claudia", "", "Universitaet Hamburg, GERMANY" ] ]

I give a relatively elementary proof of the symmetric space theorem, due to Goddard, Nahm and Olive \cite{GNO}. Unlike their original proof, which involves the quark-model construction, I only use elementary algebraic techniques.

16.386616

13.096169

16.253935

12.868356

14.021765

12.484831

10.437959

14.952434

12.868116

15.868684

12.616002

12.585185

12.723684

11.744414

12.517459

12.506595

11.8883

11.746856

12.50596

13.188868

12.182108

hep-th/9809154

Erhard Seiler

Adrian Patrascioiu, Erhard Seiler

Nonlinear $\sigma$-model, form factors and universality

10 pages, 5 figures

Phys.Lett. B445 (1998) 160-164

10.1016/S0370-2693(98)01425-7

AZPH-TH 98-07, MPI-PhT/98-40

hep-th hep-lat

null

We report the results of a very high statistics Monte Carlo study of the continuum limit of the two dimensional O(3) non-linear $\sigma$ model. We find a significant discrepancy between the continuum extrapolation of our data and the form factor prediction of Balog and Niedermaier, inspired by the Zamolodchikovs' S-matrix ansatz. On the other hand our results for the O(3) and the dodecahedron model are consistent with our earlier finding that the two models possess the same continuum limit.

[ { "created": "Mon, 21 Sep 1998 15:56:28 GMT", "version": "v1" } ]

2016-09-06

[ [ "Patrascioiu", "Adrian", "" ], [ "Seiler", "Erhard", "" ] ]

We report the results of a very high statistics Monte Carlo study of the continuum limit of the two dimensional O(3) non-linear $\sigma$ model. We find a significant discrepancy between the continuum extrapolation of our data and the form factor prediction of Balog and Niedermaier, inspired by the Zamolodchikovs' S-matrix ansatz. On the other hand our results for the O(3) and the dodecahedron model are consistent with our earlier finding that the two models possess the same continuum limit.

7.488626

7.687868

7.693507

6.959782

7.55957

7.258943

7.672394

7.470722

6.947398

7.636529

7.534054

6.596313

7.061611

6.963402

7.109158

6.807033

7.015802

6.58733

7.232218

6.852468

6.611753

hep-th/9701059

Chand Devchand

C. Devchand and Jeremy Schiff

Hidden Symmetries of the Principal Chiral Model and a Nonstandard Loop Algebra

5 pages, latex; changed title and slight textual revisions; to be published in Phys. Lett. B

null

10.1016/S0370-2693(97)01420-2

null

hep-th

null

We examine the precise structure of the loop algebra of `dressing' symmetries of the Principal Chiral Model, and discuss a new infinite set of abelian symmetries of the field equations which preserve a symplectic form on the space of solutions.

[ { "created": "Tue, 14 Jan 1997 08:59:42 GMT", "version": "v1" }, { "created": "Mon, 17 Nov 1997 19:17:34 GMT", "version": "v2" } ]

2009-10-30

[ [ "Devchand", "C.", "" ], [ "Schiff", "Jeremy", "" ] ]

We examine the precise structure of the loop algebra of `dressing' symmetries of the Principal Chiral Model, and discuss a new infinite set of abelian symmetries of the field equations which preserve a symplectic form on the space of solutions.

12.807754

11.019036

12.009274

10.120485

10.085739

10.23102

10.450618

9.944091

10.478758

10.45089

9.652621

11.029416

12.875469

11.433736

11.369282

10.771231

11.066513

10.628592

11.114804

12.175343

10.513613

hep-th/0008131

Shyamoli Chaudhuri

Deconfinement and the Hagedorn Transition in String Theory

Superseded and extended in hep-th/0105110 and hep-th/0208112

Phys.Rev.Lett. 86 (2001) 1943; Erratum-ibid. 87 (2001) 199901

10.1103/PhysRevLett.86.1943

null

hep-th hep-lat hep-ph

null

Superseded and extended in hep-th/0105110 and hep-th/0208112.

[ { "created": "Wed, 16 Aug 2000 19:54:19 GMT", "version": "v1" }, { "created": "Tue, 5 Sep 2000 09:16:31 GMT", "version": "v2" }, { "created": "Mon, 11 Dec 2000 23:45:28 GMT", "version": "v3" }, { "created": "Tue, 27 Feb 2001 21:21:22 GMT", "version": "v4" }, { "created": "Thu, 24 May 2001 22:40:06 GMT", "version": "v5" }, { "created": "Thu, 26 Jul 2001 23:01:34 GMT", "version": "v6" }, { "created": "Wed, 21 Aug 2002 19:59:24 GMT", "version": "v7" } ]

2009-10-31

[ [ "Chaudhuri", "Shyamoli", "" ] ]

Superseded and extended in hep-th/0105110 and hep-th/0208112.

36.734116

22.178629

18.153776

16.314514

26.672052

17.049845

19.583532

22.484192

17.671734

32.33548

24.63027

21.851446

29.535612

21.767294

21.752476

23.620667

21.510395

21.988779

21.223444

30.252254

19.895338

hep-th/0403035

Sebastian de Haro

Jan de Boer, Sebastian de Haro

The Off-shell M5-brane and Non-Perturbative Gauge Theory

30 pages

Nucl.Phys.B696:174-204,2004

10.1016/j.nuclphysb.2004.06.050

AEI-2003-108, UCLA/03/TEP/41, ITFA-2004-09

hep-th

null

M5-branes wrapping a holomorphic curve in a Calabi-Yau manifold can be used to construct four-dimensional N=1 gauge theories. In this paper we will consider M5-brane configurations corresponding to N=2 theories broken to N=1 by a superpotential for the adjoint scalar field. These M5-brane configurations can be obtained by lifting suitable intersecting brane configurations in type IIA, or equivalently by T-dualizing IIB configurations with branes and/or fluxes. We will show that turning on non-trivial expectation values for the glueball superfields corresponds to non-holomorphic deformations of the M5-brane. We compute the superpotential and show it agrees with that computed by Dijkgraaf and Vafa. Several aspects of the gauge theory, such as the appearance of non-holomorphic one-forms with integer periods on the Seiberg-Witten curve, have a natural interpretation from the M5-brane point of view. We also explain the interpretation of the superpotential in terms of the twisted (2,0) theory living on the fivebrane.

[ { "created": "Tue, 2 Mar 2004 13:29:53 GMT", "version": "v1" } ]

2010-12-03

[ [ "de Boer", "Jan", "" ], [ "de Haro", "Sebastian", "" ] ]

M5-branes wrapping a holomorphic curve in a Calabi-Yau manifold can be used to construct four-dimensional N=1 gauge theories. In this paper we will consider M5-brane configurations corresponding to N=2 theories broken to N=1 by a superpotential for the adjoint scalar field. These M5-brane configurations can be obtained by lifting suitable intersecting brane configurations in type IIA, or equivalently by T-dualizing IIB configurations with branes and/or fluxes. We will show that turning on non-trivial expectation values for the glueball superfields corresponds to non-holomorphic deformations of the M5-brane. We compute the superpotential and show it agrees with that computed by Dijkgraaf and Vafa. Several aspects of the gauge theory, such as the appearance of non-holomorphic one-forms with integer periods on the Seiberg-Witten curve, have a natural interpretation from the M5-brane point of view. We also explain the interpretation of the superpotential in terms of the twisted (2,0) theory living on the fivebrane.

5.183807

4.726995

6.069342

4.724111

4.866736

4.841742

4.712991

4.673406

4.943536

6.210824

4.767852

4.792826

5.311522

4.875245

4.815135

4.84141

4.935662

4.818343

4.807721

5.299965

4.891597

2105.09603

Takeshi Morita

Extracting classical Lyapunov exponent from one-dimensional quantum mechanics

15 pages, 5 figures. Appendix moved to the main text,the version published in PRD

Phys.Rev.D 106 (2022) 10, 106001

10.1103/PhysRevD.106.106001

null

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

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

The commutator $[x(t),p]$ in an inverted harmonic oscillator (IHO) in one-dimensional quantum mechanics exhibits remarkable properties. It reduces to a c-number and does not show any quantum fluctuations for arbitrary states. Related to this nature, the quantum Lyapunov exponent computed through the out-of-time-order correlator (OTOC) $\langle [x(t),p]^2 \rangle $ precisely agrees with the classical one. Hence, the OTOC may be regarded as an ideal indicator of the butterfly effect in the IHO. Since IHOs are ubiquitous in physics, these properties of the commutator $[x(t),p]$ and the OTOCs might be seen in various situations, too. In order to clarify this point, as a first step, we investigate OTOCs in one-dimensional quantum mechanics with polynomial potentials, which exhibit butterfly effects around the peak of the potential in classical mechanics. We find two situations in which the OTOCs show exponential growth reproducing the classical Lyapunov exponent of the peak. The first one, which is obvious, is using a suitably localized wave packet near the peak, and the second one is taking a limit akin to the large-$N$ limit in the noncritical string theories.

[ { "created": "Thu, 20 May 2021 08:57:30 GMT", "version": "v1" }, { "created": "Mon, 31 May 2021 05:28:46 GMT", "version": "v2" }, { "created": "Tue, 22 Nov 2022 00:53:36 GMT", "version": "v3" } ]

2022-11-23

[ [ "Morita", "Takeshi", "" ] ]

The commutator $[x(t),p]$ in an inverted harmonic oscillator (IHO) in one-dimensional quantum mechanics exhibits remarkable properties. It reduces to a c-number and does not show any quantum fluctuations for arbitrary states. Related to this nature, the quantum Lyapunov exponent computed through the out-of-time-order correlator (OTOC) $\langle [x(t),p]^2 \rangle $ precisely agrees with the classical one. Hence, the OTOC may be regarded as an ideal indicator of the butterfly effect in the IHO. Since IHOs are ubiquitous in physics, these properties of the commutator $[x(t),p]$ and the OTOCs might be seen in various situations, too. In order to clarify this point, as a first step, we investigate OTOCs in one-dimensional quantum mechanics with polynomial potentials, which exhibit butterfly effects around the peak of the potential in classical mechanics. We find two situations in which the OTOCs show exponential growth reproducing the classical Lyapunov exponent of the peak. The first one, which is obvious, is using a suitably localized wave packet near the peak, and the second one is taking a limit akin to the large-$N$ limit in the noncritical string theories.

8.442242

8.868542

8.697057

7.85615

8.175733

8.947765

8.615715

8.085331

8.618821

9.583967

7.709061

8.293592

8.488436

8.091748

8.036834

8.107442

8.020888

8.006442

8.453736

8.571716

8.187477

hep-th/9508150

null

Kurt Lechner and Mario Tonin

Seven--Superform Gauge Fields in N=1, D=10 Supergravity and Duality

12 pages, Plain TeX, no figures

Phys.Lett. B366 (1996) 149

10.1016/0370-2693(95)01375-X

DFPD/95/TH/44, August 1995

hep-th

null

We present a formulation of $N=1,D=10$ Supergravity--Super--Maxwell theory in superspace in which the graviphoton can be described by a 2--form $B_2$ or a 6--form $B_6$, the photon by a 1--form $A_1$ or a 7--form $A_7$ and the dilaton by a scalar $\varphi$ or an 8--form $\varphi_8$, the supercurvatures of these fields being related by duality. Duality interchanges Bianchi identities and equations of motion for each of the three couples of fields. This construction envisages the reformulation of $D=10$ Supergravity, involving 7--forms as gauge fields, conjectured by Schwarz and Sen, which, upon toroidal compactification to four dimensions, gives the manifestly $SL(2,R)_S$ invariant form of the heterotic string effective action.

[ { "created": "Mon, 28 Aug 1995 16:19:39 GMT", "version": "v1" } ]

2009-10-28

[ [ "Lechner", "Kurt", "" ], [ "Tonin", "Mario", "" ] ]

We present a formulation of $N=1,D=10$ Supergravity--Super--Maxwell theory in superspace in which the graviphoton can be described by a 2--form $B_2$ or a 6--form $B_6$, the photon by a 1--form $A_1$ or a 7--form $A_7$ and the dilaton by a scalar $\varphi$ or an 8--form $\varphi_8$, the supercurvatures of these fields being related by duality. Duality interchanges Bianchi identities and equations of motion for each of the three couples of fields. This construction envisages the reformulation of $D=10$ Supergravity, involving 7--forms as gauge fields, conjectured by Schwarz and Sen, which, upon toroidal compactification to four dimensions, gives the manifestly $SL(2,R)_S$ invariant form of the heterotic string effective action.

6.120432

5.995348

7.265642

5.449189

6.033123

6.058218

5.705661

5.614646

5.85896

7.41081

5.852557

5.994123

6.188382

5.75835

6.063859

6.078933

5.93922

5.943511

5.903108

6.202152

6.090398

hep-th/9905176

Johanna Erdmenger

Gravitational Axial Anomaly for Four Dimensional Conformal Field Theories

15 pages, LaTex, no figures. Discussion of photon triangle anomaly extended, references added. To appear in Nuclear Physics B

Nucl.Phys. B562 (1999) 315-329

10.1016/S0550-3213(99)00561-1

null

hep-th

null

We construct the three point function involving an axial vector current and two energy-momentum tensors for four dimensional conformal field theories. Conformal symmetry determines the form of this three point function uniquely up to a constant factor if the necessary conservation conditions are imposed. The gravitational axial anomaly present on a curved space background leads to a non-zero contribution for the divergence of the axial current in this three point function even on flat space. Using techniques related to differential regularisation which guarantee that the energy-momentum tensor is conserved and traceless, we calculate the anomaly in the three point function directly. In this way we relate the overall coefficient of the three point function to the scale of the gravitational axial anomaly. We check our results by applying them to the examples of the fermion and photon axial currents.

[ { "created": "Mon, 24 May 1999 18:52:17 GMT", "version": "v1" }, { "created": "Wed, 27 Oct 1999 13:41:33 GMT", "version": "v2" } ]

2009-10-31

[ [ "Erdmenger", "Johanna", "" ] ]

We construct the three point function involving an axial vector current and two energy-momentum tensors for four dimensional conformal field theories. Conformal symmetry determines the form of this three point function uniquely up to a constant factor if the necessary conservation conditions are imposed. The gravitational axial anomaly present on a curved space background leads to a non-zero contribution for the divergence of the axial current in this three point function even on flat space. Using techniques related to differential regularisation which guarantee that the energy-momentum tensor is conserved and traceless, we calculate the anomaly in the three point function directly. In this way we relate the overall coefficient of the three point function to the scale of the gravitational axial anomaly. We check our results by applying them to the examples of the fermion and photon axial currents.

9.152246

9.494262

9.043706

8.298797

8.925296

10.01041

8.88709

8.802816

8.247609

10.001691

7.983123

8.538295

8.902301

8.571342

8.695572

8.609205

8.438018

8.639732

8.551454

8.799117

8.337181

hep-th/0403297

Saharian

Aram A. Saharian, Anna S. Kotanjyan

Radiation from an oscillator uniformly moving along the axis of a dielectric cylinder

16 pages, 8 EPS figures

Nucl.Instrum.Meth. B226 (2004) 351-364

10.1016/j.nimb.2004.06.036

null

hep-th cond-mat.other

null

The radiation generated by a charged longitudinal oscillator moving with a constant drift velocity along the axis of a dielectric cylinder immersed in a homogeneous medium is investigated. For an arbitrary oscillation law a formula is derived for the spectral-angular distribution of this radiation. Under the Cherenkov condition for the dielectric permittivity of the external medium and oscillator drift velocity this formula contains two summands. The first one corresponds to the radiation with a continuous spectrum which propagates at the Cherenkov angle of the external medium. The second one describes the radiation which has a discrete spectrum for a given angle of propagation. The corresponding frequencies are multiples of the Doppler-shifted oscillation frequency. The results of numerical calculations for the angular distribution of the radiated quanta are presented and they are compared with the corresponding quantities for the radiation in a homogeneous medium. It is shown that the presence of the cylinder can increase essentially the radiation intensity.

[ { "created": "Wed, 31 Mar 2004 09:14:38 GMT", "version": "v1" } ]

2015-06-26

[ [ "Saharian", "Aram A.", "" ], [ "Kotanjyan", "Anna S.", "" ] ]

The radiation generated by a charged longitudinal oscillator moving with a constant drift velocity along the axis of a dielectric cylinder immersed in a homogeneous medium is investigated. For an arbitrary oscillation law a formula is derived for the spectral-angular distribution of this radiation. Under the Cherenkov condition for the dielectric permittivity of the external medium and oscillator drift velocity this formula contains two summands. The first one corresponds to the radiation with a continuous spectrum which propagates at the Cherenkov angle of the external medium. The second one describes the radiation which has a discrete spectrum for a given angle of propagation. The corresponding frequencies are multiples of the Doppler-shifted oscillation frequency. The results of numerical calculations for the angular distribution of the radiated quanta are presented and they are compared with the corresponding quantities for the radiation in a homogeneous medium. It is shown that the presence of the cylinder can increase essentially the radiation intensity.

7.223289

6.232402

6.861046

6.686544

6.522356

6.017293

6.083713

6.792597

6.694145

7.007102

6.609231

6.567586

7.006784

6.834732

6.716708

6.822627

6.951092

7.091824

6.665501

7.071263

6.861266

2104.08332

Ashok Kapoor

A K Kapoor

A New Approach to Axial Vector Gauge Theories

Latex 8 pages

Int. J. Mod. Phys. A 36 (2021) 2150104

10.1142/S0217751X21501049

null

hep-th

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

In an earlier paper it has been shown that the ultra violet divergence structure of anomalous U(1) axial vector gauge model in the stochastic quantization scheme is different from that in the conventional quantum field theory. Also it has been shown that the model is expected to be renormalizable. Based on the operator formalism of the stochastic quantization, a new approach to anomalous U(1) axial vector gauge model is proposed. The operator formalism provides a convenient framework for analysis of ultra violet divergences, but the computations in a realistic model become complicated. In this paper a new approach to do computations in the model is formulated directly in four dimensions. The suggestions put forward here will lead to simplification in the study of applications of the axial vector gauge theory, as well as those of other similar models

[ { "created": "Tue, 30 Mar 2021 03:26:48 GMT", "version": "v1" } ]

2021-07-19

[ [ "Kapoor", "A K", "" ] ]

In an earlier paper it has been shown that the ultra violet divergence structure of anomalous U(1) axial vector gauge model in the stochastic quantization scheme is different from that in the conventional quantum field theory. Also it has been shown that the model is expected to be renormalizable. Based on the operator formalism of the stochastic quantization, a new approach to anomalous U(1) axial vector gauge model is proposed. The operator formalism provides a convenient framework for analysis of ultra violet divergences, but the computations in a realistic model become complicated. In this paper a new approach to do computations in the model is formulated directly in four dimensions. The suggestions put forward here will lead to simplification in the study of applications of the axial vector gauge theory, as well as those of other similar models

9.848773

9.46201

8.852774

8.749383

8.91726

9.149652

9.057552

8.822028

8.90274

9.459762

9.075304

8.578711

8.64465

8.63826

8.494109

8.745756

8.669576

8.815641

8.720452

8.773759

8.898107

1706.01397

Gianni Tallarita

Gianni Tallarita and Fabrizio Canfora

Multi-Skyrmions on $AdS_2 \times S_2$, Rational maps and Popcorn Transitions

20 pages, 4 figures, to appear in Nuclear Physics B

null

hep-th

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

By combining two different techniques to construct multi-soliton solutions of the (3+1)-dimensional Skyrme model, the generalized hedgehog and the rational map ansatz, we find multi-Skyrmion configurations in $AdS_{2}\times S_{2}$. We construct Skyrmionic multi-layered configurations such that the total Baryon charge is the product of the number of kinks along the radial $AdS_{2}$ direction and the degree of the rational map. We show that, for fixed total Baryon charge, as one increases the charge density on $\partial\left( AdS_{2}\times S_{2}\right) $, it becomes increasingly convenient energetically to have configurations with more peaks in the radial $AdS_{2}$ direction but a lower degree of the rational map. This has a direct relation with the so-called holographic popcorn transitions in which, when the charge density is high, multi-layered configurations with low charge on each layer are favored over configurations with few layers but with higher charge on each layer. The case in which the geometry is $M_{2}\times S_{2}$ can also be analyzed.

[ { "created": "Mon, 5 Jun 2017 16:08:48 GMT", "version": "v1" } ]

2017-06-06

[ [ "Tallarita", "Gianni", "" ], [ "Canfora", "Fabrizio", "" ] ]

By combining two different techniques to construct multi-soliton solutions of the (3+1)-dimensional Skyrme model, the generalized hedgehog and the rational map ansatz, we find multi-Skyrmion configurations in $AdS_{2}\times S_{2}$. We construct Skyrmionic multi-layered configurations such that the total Baryon charge is the product of the number of kinks along the radial $AdS_{2}$ direction and the degree of the rational map. We show that, for fixed total Baryon charge, as one increases the charge density on $\partial\left( AdS_{2}\times S_{2}\right) $, it becomes increasingly convenient energetically to have configurations with more peaks in the radial $AdS_{2}$ direction but a lower degree of the rational map. This has a direct relation with the so-called holographic popcorn transitions in which, when the charge density is high, multi-layered configurations with low charge on each layer are favored over configurations with few layers but with higher charge on each layer. The case in which the geometry is $M_{2}\times S_{2}$ can also be analyzed.

6.672014

6.829699

6.240725

5.95397

6.369604

6.350845

6.288761

5.79354

6.298992

6.805964

5.794961

6.238165

6.503257

6.289427

6.207278

6.240222

6.18745

6.159024

6.339314

6.55269

6.336678

hep-th/9508153

null

S. James Gates, Jr

Why Auxiliary Fields Matter: The Strange Case of the 4D, N = 1 Supersymmetric QCD Effective Action

14 pages, UMDEPP 96-19

Phys.Lett.B365:132-140,1996

10.1016/0370-2693(95)01309-1

null

hep-th

null

Within a four dimensional manifestly N = 1 supersymmetric action, we show that Wess-Zumino-Novikov-Witten (WZNW) terms can be embedded in an extraordinarily simple manner into a purely chiral superaction. In order to achieve this result it is necessary to assign spin-0 and spin-1/2 degrees of freedom both to chiral superfields and as well to non-minimal scalar multiplets. We propose a new formulation for the effective low-energy action of 4D, N = 1 supersymmetric QCD that is consistent with holomorphy through fourth order in the pion superfield. After reduction to a 2D, N = 2 theory we find a new class of manifestly supersymmetric non-linear sigma models with torsion.

[ { "created": "Mon, 28 Aug 1995 20:40:15 GMT", "version": "v1" } ]

2012-08-27

[ [ "Gates,", "S. James", "Jr" ] ]

Within a four dimensional manifestly N = 1 supersymmetric action, we show that Wess-Zumino-Novikov-Witten (WZNW) terms can be embedded in an extraordinarily simple manner into a purely chiral superaction. In order to achieve this result it is necessary to assign spin-0 and spin-1/2 degrees of freedom both to chiral superfields and as well to non-minimal scalar multiplets. We propose a new formulation for the effective low-energy action of 4D, N = 1 supersymmetric QCD that is consistent with holomorphy through fourth order in the pion superfield. After reduction to a 2D, N = 2 theory we find a new class of manifestly supersymmetric non-linear sigma models with torsion.

8.485901

7.571171

8.225239

7.487853

7.293881

7.888275

7.389511

7.641335

7.285101

9.118002

7.392836

7.208173

8.171356

7.499194

7.625981

7.260268

7.448339

7.615121

7.585156

8.013681

7.518031

hep-th/0211275

Olkhov

O. A. Olkhov (Institute of Chemical Physics, Moscow)

Topological interpretation of Dirac equation and geometrization of physical interactions

LaTex, 10 pages, Proc.XXV Workshop on Fundamental Problems of High Energy Physics and Field Theory. Geometrical and topological ideas in modern physics, Protvino, Russia, 25 - 28 June 2002 (to be published}

null

hep-th

null

Earlier we have shown that interacting electron-positron and electromagnetic fields can be considered as a certain microscopic distortion of pseudo-Euclidean properties of the Minkovsky 4-space-time. The known Dirac and Maxwell equations prove to be group-theoretical relations describing this distortion (nonmetrized closed 4-manifold). Here we apply the above geometrical approach to obtain equations for a neutrino interacting with its weak field. These equations contain some new terms and demonstrate geometrical mechanisms of gauge-invariance and P-T violation. Equations are also proposed for gravitational field and its microscopic quantum sources.

[ { "created": "Thu, 28 Nov 2002 11:11:25 GMT", "version": "v1" } ]

2007-05-23

[ [ "Olkhov", "O. A.", "", "Institute of Chemical Physics, Moscow" ] ]

Earlier we have shown that interacting electron-positron and electromagnetic fields can be considered as a certain microscopic distortion of pseudo-Euclidean properties of the Minkovsky 4-space-time. The known Dirac and Maxwell equations prove to be group-theoretical relations describing this distortion (nonmetrized closed 4-manifold). Here we apply the above geometrical approach to obtain equations for a neutrino interacting with its weak field. These equations contain some new terms and demonstrate geometrical mechanisms of gauge-invariance and P-T violation. Equations are also proposed for gravitational field and its microscopic quantum sources.

21.817356

22.851122

22.876492

20.991652

24.489853

21.771753

23.002174

21.712088

21.868887

28.746246

20.748997

21.513805

19.943893

20.280151

20.339531

21.578609

21.86005

20.097326

21.086336

20.187815

20.848932

2112.05168

Brian McPeak

Johan Henriksson, Ashish Kakkar, Brian McPeak

Classical Codes and Chiral CFTs at Higher Genus

48pp

null

10.1007/JHEP05(2022)159

null

hep-th quant-ph

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

Higher genus modular invariance of two-dimensional conformal field theories (CFTs) is a largely unexplored area. In this paper, we derive explicit expressions for the higher genus partition functions of a specific class of CFTs: code CFTs, which are constructed using classical error-correcting codes. In this setting, the $\mathrm{Sp}(2g,\mathbb Z)$ modular transformations of genus $g$ Riemann surfaces can be recast as a simple set of linear maps acting on $2^g$ polynomial variables, which comprise an object called the code enumerator polynomial. The CFT partition function is directly related to the enumerator polynomial, meaning that solutions of the linear constraints from modular invariance immediately give a set of seemingly consistent partition functions at a given genus. We then find that higher genus constraints, plus consistency under degeneration limits of the Riemann surface, greatly reduces the number of possible code CFTs. This work provides a step towards a full understanding of the constraints from higher genus modular invariance on 2d CFTs.

[ { "created": "Thu, 9 Dec 2021 19:00:04 GMT", "version": "v1" }, { "created": "Fri, 29 Apr 2022 18:12:58 GMT", "version": "v2" } ]

2022-06-08

[ [ "Henriksson", "Johan", "" ], [ "Kakkar", "Ashish", "" ], [ "McPeak", "Brian", "" ] ]

Higher genus modular invariance of two-dimensional conformal field theories (CFTs) is a largely unexplored area. In this paper, we derive explicit expressions for the higher genus partition functions of a specific class of CFTs: code CFTs, which are constructed using classical error-correcting codes. In this setting, the $\mathrm{Sp}(2g,\mathbb Z)$ modular transformations of genus $g$ Riemann surfaces can be recast as a simple set of linear maps acting on $2^g$ polynomial variables, which comprise an object called the code enumerator polynomial. The CFT partition function is directly related to the enumerator polynomial, meaning that solutions of the linear constraints from modular invariance immediately give a set of seemingly consistent partition functions at a given genus. We then find that higher genus constraints, plus consistency under degeneration limits of the Riemann surface, greatly reduces the number of possible code CFTs. This work provides a step towards a full understanding of the constraints from higher genus modular invariance on 2d CFTs.

7.284384

6.653212

7.068164

6.444197

7.024672

6.738675

6.432896

6.643686

6.604462

7.1758

6.759786

6.805837

7.036732

6.663855

6.84548

6.853621

6.589766

6.676432

6.831027

7.375967

6.785662

hep-th/0610160

Sergey Paston

V.A. Franke, S.A. Paston, E.V. Prokhvatilov

QED(1+1) on the Light Front and its implications for semiphenomenological methods in QCD(3+1)

LaTeX 2e, 9 pages, 2 figures. Proceedings of "Quarks-2006", St-Petersburg 2006

null

SPbU-IP-06-04

hep-th

null

A possibility of semiphenomenological description of vacuum effects in QCD quantized on the Light Front (LF) is discussed. A modification of the canonical LF Hamiltonian for QCD is proposed, basing on the detailed study of the exact description of vacuum condensate in QED(1+1) that uses correct form of LF Hamiltonian.

[ { "created": "Fri, 13 Oct 2006 14:07:23 GMT", "version": "v1" } ]

2007-05-23

[ [ "Franke", "V. A.", "" ], [ "Paston", "S. A.", "" ], [ "Prokhvatilov", "E. V.", "" ] ]

A possibility of semiphenomenological description of vacuum effects in QCD quantized on the Light Front (LF) is discussed. A modification of the canonical LF Hamiltonian for QCD is proposed, basing on the detailed study of the exact description of vacuum condensate in QED(1+1) that uses correct form of LF Hamiltonian.

14.335302

14.776911

14.302621

13.273317

13.704767

13.848712

14.206091

12.688946

13.385557

15.222454

13.723516

13.021443

14.079937

12.869828

13.353287

12.957344

12.376854

12.316412

13.01625

13.5595

12.79104

hep-th/0412154

James T. Liu

A. Batrachenko, James T. Liu, Oscar Varela and W. Y. Wen

Higher Order Integrability in Generalized Holonomy

19 pages, Latex

Nucl.Phys. B760 (2007) 89-103

10.1016/j.nuclphysb.2006.10.017

MCTP-04-69, FTUV-04-1214, IFIC-04-71

hep-th

null

Supersymmetric backgrounds in M-theory often involve four-form flux in addition to pure geometry. In such cases, the classification of supersymmetric vacua involves the notion of generalized holonomy taking values in SL(32,R), the Clifford group for eleven-dimensional spinors. Although previous investigations of generalized holonomy have focused on the curvature \Rm_{MN}(\Omega) of the generalized SL(32,R) connection \Omega_M, we demonstrate that this local information is incomplete, and that satisfying the higher order integrability conditions is an essential feature of generalized holonomy. We also show that, while this result differs from the case of ordinary Riemannian holonomy, it is nevertheless compatible with the Ambrose-Singer holonomy theorem.

[ { "created": "Tue, 14 Dec 2004 21:01:41 GMT", "version": "v1" } ]

2010-04-05

[ [ "Batrachenko", "A.", "" ], [ "Liu", "James T.", "" ], [ "Varela", "Oscar", "" ], [ "Wen", "W. Y.", "" ] ]

Supersymmetric backgrounds in M-theory often involve four-form flux in addition to pure geometry. In such cases, the classification of supersymmetric vacua involves the notion of generalized holonomy taking values in SL(32,R), the Clifford group for eleven-dimensional spinors. Although previous investigations of generalized holonomy have focused on the curvature \Rm_{MN}(\Omega) of the generalized SL(32,R) connection \Omega_M, we demonstrate that this local information is incomplete, and that satisfying the higher order integrability conditions is an essential feature of generalized holonomy. We also show that, while this result differs from the case of ordinary Riemannian holonomy, it is nevertheless compatible with the Ambrose-Singer holonomy theorem.

10.693285

11.641081

12.10295

10.517308

11.072386

10.765472

11.579211

10.841115

9.782733

12.540063

9.497448

9.853521

10.922971

9.429713

9.697263

9.931517

9.543998

9.873052

9.83425

10.385521

9.934368

hep-th/0304017

Asher Peres

Netanel H. Lindner, Asher Peres, and Daniel R. Terno

Wigner's little group and Berry's phase for massless particles

4 pages revtex

J.Phys. A36 (2003) L449

10.1088/0305-4470/36/29/101

null

hep-th quant-ph

null

The ``little group'' for massless particles (namely, the Lorentz transformations $\Lambda$ that leave a null vector invariant) is isomorphic to the Euclidean group E2: translations and rotations in a plane. We show how to obtain explicitly the rotation angle of E2 as a function of $\Lambda$ and we relate that angle to Berry's topological phase. Some particles admit both signs of helicity, and it is then possible to define a reduced density matrix for their polarization. However, that density matrix is physically meaningless, because it has no transformation law under the Lorentz group, even under ordinary rotations.

[ { "created": "Wed, 2 Apr 2003 19:01:00 GMT", "version": "v1" } ]

2009-11-10

[ [ "Lindner", "Netanel H.", "" ], [ "Peres", "Asher", "" ], [ "Terno", "Daniel R.", "" ] ]

The ``little group'' for massless particles (namely, the Lorentz transformations $\Lambda$ that leave a null vector invariant) is isomorphic to the Euclidean group E2: translations and rotations in a plane. We show how to obtain explicitly the rotation angle of E2 as a function of $\Lambda$ and we relate that angle to Berry's topological phase. Some particles admit both signs of helicity, and it is then possible to define a reduced density matrix for their polarization. However, that density matrix is physically meaningless, because it has no transformation law under the Lorentz group, even under ordinary rotations.

10.466853

9.908334

10.386402

9.583182

9.887282

10.244332

10.119899

10.890598

9.54789

11.091793

9.471703

9.53398

9.84853

9.61617

9.237523

9.554688

9.561233

9.640997

9.729487

9.512969

9.811599

1812.10970

Carlos Mafra

Carlos R. Mafra, Oliver Schlotterer

Towards the n-point one-loop superstring amplitude II: Worldsheet functions and their duality to kinematics

72 pages, v2: published version

JHEP 1908 (2019) 091

10.1007/JHEP08(2019)091

null

hep-th

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

This is the second installment of a series of three papers in which we describe a method to determine higher-point correlation functions in one-loop open-superstring amplitudes from first principles. In this second part, we study worldsheet functions defined on a genus-one surface built from the coefficient functions of the Kronecker--Einsenstein series. We construct two classes of worldsheet functions whose properties lead to several simplifying features within our description of one-loop correlators with the pure-spinor formalism. The first class is described by functions with prescribed monodromies, whose characteristic shuffle-symmetry property leads to a Lie-polynomial structure when multiplied by the local superfields from part I of this series. The second class is given by so-called generalized elliptic integrands (GEIs) that are constructed using the same combinatorial patterns of the BRST pseudo-invariant superfields from part I. Both of them lead to compact and combinatorially rich expressions for the correlators in part III. The identities obeyed by the two classes of worldsheet functions exhibit striking parallels with those of the superfield kinematics. We will refer to this phenomenon as a duality between worldsheet functions and kinematics.

[ { "created": "Fri, 28 Dec 2018 12:12:50 GMT", "version": "v1" }, { "created": "Tue, 10 Sep 2019 16:52:38 GMT", "version": "v2" } ]

2019-09-11

[ [ "Mafra", "Carlos R.", "" ], [ "Schlotterer", "Oliver", "" ] ]

This is the second installment of a series of three papers in which we describe a method to determine higher-point correlation functions in one-loop open-superstring amplitudes from first principles. In this second part, we study worldsheet functions defined on a genus-one surface built from the coefficient functions of the Kronecker--Einsenstein series. We construct two classes of worldsheet functions whose properties lead to several simplifying features within our description of one-loop correlators with the pure-spinor formalism. The first class is described by functions with prescribed monodromies, whose characteristic shuffle-symmetry property leads to a Lie-polynomial structure when multiplied by the local superfields from part I of this series. The second class is given by so-called generalized elliptic integrands (GEIs) that are constructed using the same combinatorial patterns of the BRST pseudo-invariant superfields from part I. Both of them lead to compact and combinatorially rich expressions for the correlators in part III. The identities obeyed by the two classes of worldsheet functions exhibit striking parallels with those of the superfield kinematics. We will refer to this phenomenon as a duality between worldsheet functions and kinematics.

12.051403

11.309175

13.336248

11.602253

11.754995

12.544132

13.072336

12.346915

11.428667

14.063943

11.849221

11.885284

11.987613

11.614508

11.636142

11.650135

11.909307

12.050348

11.829166

12.098885

11.75821

1911.03205

Alberto G. Martin-Caro

Luis J. Garay, Alberto Garc\'ia Mart\'in-Caro and Mercedes Mart\'in-Benito

Unitary quantization of a charged scalar field and Schwinger effect

27 pages, 2 figures

null

hep-th

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

Quantum field theory in curved spacetimes suffers in general from an infinite ambiguity in the choice of Fock representation and associated vacuum. In cosmological backgrounds, the requirement of a unitary implementation of the field dynamics in the physical Hilbert space of the theory is a good criterion to ameliorate such ambiguity. Indeed, this criterion, together with a unitary implementation of the symmetries of the equations of motion, leads to a unique equivalence class of Fock representations. In this work, we apply the procedure developed for fields in cosmological settings to analyze the quantization of a scalar field in the presence of an external electromagnetic classical field in a flat background. We find a natural Fock representation that admits a unitary implementation of the quantum field dynamics. It automatically allows to define a particle number density at all times in the evolution with the correct asymptotic behavior, when the electric field vanishes. Moreover we show the unitary equivalence of all the quantizations that fulfill our criteria. Although we perform the field quantization in a specific gauge, we also show the equivalence between the procedures taken in different gauges.

[ { "created": "Fri, 8 Nov 2019 12:04:05 GMT", "version": "v1" }, { "created": "Fri, 17 Apr 2020 15:10:36 GMT", "version": "v2" } ]

2020-04-20

[ [ "Garay", "Luis J.", "" ], [ "Martín-Caro", "Alberto García", "" ], [ "Martín-Benito", "Mercedes", "" ] ]

Quantum field theory in curved spacetimes suffers in general from an infinite ambiguity in the choice of Fock representation and associated vacuum. In cosmological backgrounds, the requirement of a unitary implementation of the field dynamics in the physical Hilbert space of the theory is a good criterion to ameliorate such ambiguity. Indeed, this criterion, together with a unitary implementation of the symmetries of the equations of motion, leads to a unique equivalence class of Fock representations. In this work, we apply the procedure developed for fields in cosmological settings to analyze the quantization of a scalar field in the presence of an external electromagnetic classical field in a flat background. We find a natural Fock representation that admits a unitary implementation of the quantum field dynamics. It automatically allows to define a particle number density at all times in the evolution with the correct asymptotic behavior, when the electric field vanishes. Moreover we show the unitary equivalence of all the quantizations that fulfill our criteria. Although we perform the field quantization in a specific gauge, we also show the equivalence between the procedures taken in different gauges.

8.234543

8.698779

7.413341

7.362854

8.144408

7.994532

8.389473

7.471642

8.099695

8.372768

7.978727

7.672244

7.552993

7.69662

7.751339

7.780891

7.673647

7.545044

7.836517

7.950947

7.692876

hep-th/0303038

Boris Blankleider

A. N. Kvinikhidze and B. Blankleider

Gauge invariant reduction to the light-front

12 pages, revtex4

Phys.Rev.D68:025021,2003

10.1103/PhysRevD.68.025021

null

hep-th hep-ph nucl-th

null

The problem of constructing gauge invariant currents in terms of light-cone bound-state wave functions is solved by utilising the gauging of equations method. In particular, it is shown how to construct perturbative expansions of the electromagnetic current in the light-cone formalism, such that current conservation is satisfied at each order of the perturbation theory.

[ { "created": "Wed, 5 Mar 2003 17:38:47 GMT", "version": "v1" } ]

2014-11-18

[ [ "Kvinikhidze", "A. N.", "" ], [ "Blankleider", "B.", "" ] ]

The problem of constructing gauge invariant currents in terms of light-cone bound-state wave functions is solved by utilising the gauging of equations method. In particular, it is shown how to construct perturbative expansions of the electromagnetic current in the light-cone formalism, such that current conservation is satisfied at each order of the perturbation theory.

9.996797

9.606949

9.256386

7.949137

8.971273

9.357394

9.579199

10.172852

9.634853

9.455457

9.825429

9.883337

9.36526

9.484715

9.513953

9.727505

9.651319

9.774315

9.518866

8.431406

9.564787

hep-th/0307275

Soo-Jong Rey

Oleg Lunin, Soo-Jong Rey

Renormalizability of Non(anti)commutative Gauge Theories with N=1/2 Supersymmetry

21 pages, Latex, 2 figs; v2. minor corrections

JHEP 0309 (2003) 045

10.1088/1126-6708/2003/09/045

SNUST 030702

hep-th

null

Non(anti)commutative gauge theories are supersymmetric Yang-Mills and matter system defined on a deformed superspace whose coordinates obey non(anti)commutative algebra. We prove that these theories in four dimensions with N=1/2 supersymmetry are renormalizable to all orders in perturbation theory. Our proof is based on operator analysis and symmetry arguments. In a case when the Grassman-even coordinates are commutative, deformation induced by non(anti)commutativity of the Grassman-odd coordinates contains operators of dimension-four or higher. Nevertheless, they do not lead to power divergences in a loop diagram because of absence of operators Hermitian-conjugate to them. In a case when the Grassman-even coordinates are noncommutative, the ultraviolet-infrared mixing makes the theory renormalizable by the planar diagrams, and the deformed operators are not renormalized at all. We also elucidate relation at quantum level between non(anti)commutative deformation and N=1/2 supersymmetry. We point out that the star product structure dictates a specific relation for renormalization among the deformed operators.

[ { "created": "Tue, 29 Jul 2003 18:27:03 GMT", "version": "v1" }, { "created": "Thu, 14 Aug 2003 18:37:55 GMT", "version": "v2" } ]

2009-11-10

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

Non(anti)commutative gauge theories are supersymmetric Yang-Mills and matter system defined on a deformed superspace whose coordinates obey non(anti)commutative algebra. We prove that these theories in four dimensions with N=1/2 supersymmetry are renormalizable to all orders in perturbation theory. Our proof is based on operator analysis and symmetry arguments. In a case when the Grassman-even coordinates are commutative, deformation induced by non(anti)commutativity of the Grassman-odd coordinates contains operators of dimension-four or higher. Nevertheless, they do not lead to power divergences in a loop diagram because of absence of operators Hermitian-conjugate to them. In a case when the Grassman-even coordinates are noncommutative, the ultraviolet-infrared mixing makes the theory renormalizable by the planar diagrams, and the deformed operators are not renormalized at all. We also elucidate relation at quantum level between non(anti)commutative deformation and N=1/2 supersymmetry. We point out that the star product structure dictates a specific relation for renormalization among the deformed operators.

7.914052

7.591872

7.649582

6.985096

7.518678

7.62861

7.550567

7.257338

7.067219

8.098828

7.002852

7.128424

7.2289

6.859842

7.196193

7.126105

6.980814

6.897285

6.825001

7.25595

7.101433

hep-th/0601082

Sera Cremonini

Sera Cremonini and Scott Watson

Dilaton Dynamics from Production of Tensionless Membranes

39 pages, 7 figures, minor corrections and reference added

Phys.Rev.D73:086007,2006

10.1103/PhysRevD.73.086007

null

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

null

In this paper we consider classical and quantum corrections to cosmological solutions of 11D SUGRA coming from dynamics of membrane states. We first consider the supermembrane spectrum following the approach of Russo and Tseytlin for consistent quantization. We calculate the production rate of BPS membrane bound states in a cosmological background and find that such effects are generically suppressed by the Planck scale, as expected. However, for a modified brane spectrum possessing enhanced symmetry, production can be finite and significant. We stress that this effect could not be anticipated given only a knowledge of the low-energy effective theory. Once on-shell, inclusion of these states leads to an attractive force pulling the dilaton towards a fixed point of S-duality, namely $g_s=1$. Although the SUGRA description breaks down in this regime, inclusion of the enhanced states suggests that the center of M-theory moduli space is a dynamical attractor. Morever, our results seem to suggest that string dynamics does indeed favor a vacuum near fixed points of duality.

[ { "created": "Fri, 13 Jan 2006 20:56:24 GMT", "version": "v1" }, { "created": "Tue, 17 Jan 2006 21:19:42 GMT", "version": "v2" }, { "created": "Tue, 24 Jan 2006 04:07:38 GMT", "version": "v3" } ]

2008-11-26

[ [ "Cremonini", "Sera", "" ], [ "Watson", "Scott", "" ] ]

In this paper we consider classical and quantum corrections to cosmological solutions of 11D SUGRA coming from dynamics of membrane states. We first consider the supermembrane spectrum following the approach of Russo and Tseytlin for consistent quantization. We calculate the production rate of BPS membrane bound states in a cosmological background and find that such effects are generically suppressed by the Planck scale, as expected. However, for a modified brane spectrum possessing enhanced symmetry, production can be finite and significant. We stress that this effect could not be anticipated given only a knowledge of the low-energy effective theory. Once on-shell, inclusion of these states leads to an attractive force pulling the dilaton towards a fixed point of S-duality, namely $g_s=1$. Although the SUGRA description breaks down in this regime, inclusion of the enhanced states suggests that the center of M-theory moduli space is a dynamical attractor. Morever, our results seem to suggest that string dynamics does indeed favor a vacuum near fixed points of duality.

13.038974

13.556671

12.975902

12.876475

13.497021

13.887939

12.544057

13.81105

12.458145

14.513206

13.279025

12.241488

12.703942

12.539034

12.68111

12.433881

12.386732

12.410372

12.255903

13.076897

12.387148

0710.4034

Delsate T\'erence

Y. Brihaye, T. Delsate, E. Radu

On the stability of AdS black strings

8 pages, 4 figures ; reference added

Phys.Lett.B662:264-269,2008

10.1016/j.physletb.2008.03.008

null

hep-th

null

We explore via linearized perturbation theory the Gregory-Laflamme instability of the black string solutions of Einstein's equations with negative cosmological constant recently discussed in literature. Our results indicate that the black strings whose conformal infinity is the product of time and $S^{d-3}\times S^1$ are stable for large enough values of the event horizon radius. All topological black strings are also classically stable. We argue that this provides an explicit realization of the Gubser-Mitra conjecture.

[ { "created": "Mon, 22 Oct 2007 12:23:22 GMT", "version": "v1" }, { "created": "Mon, 12 Nov 2007 10:01:32 GMT", "version": "v2" } ]

2008-11-26

[ [ "Brihaye", "Y.", "" ], [ "Delsate", "T.", "" ], [ "Radu", "E.", "" ] ]

We explore via linearized perturbation theory the Gregory-Laflamme instability of the black string solutions of Einstein's equations with negative cosmological constant recently discussed in literature. Our results indicate that the black strings whose conformal infinity is the product of time and $S^{d-3}\times S^1$ are stable for large enough values of the event horizon radius. All topological black strings are also classically stable. We argue that this provides an explicit realization of the Gubser-Mitra conjecture.

8.830858

7.402451

8.586308

7.116706

6.529671

6.820131

7.512331

7.74605

7.475924

8.980093

7.468919

7.711187

8.356389

7.927115

7.850129

7.774786

7.907172

7.75637

8.169583

8.161049

7.947707

1311.4619

In Yong Park

I. Y. Park

Reduction of BTZ spacetime to hypersurfaces of foliation

16 pages, minor corrections, version that will appear in JHEP

null

10.1007/JHEP01(2014)102

null

hep-th

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

We reduce the BTZ spacetime to two kinds of hypersurfaces of foliation: one having a fixed radial coordinate and the other a fixed angular coordinate. The radial reduction leads to a Liouville type theory, and confirms, from the first principle, the expectation laid out in the literature. In the other endeavor, the angular reduction of the 3D gravity is carried out in two different ways; the first again yields a Liouville type theory (different from that of the radial reduction) and the second yields a 2D interacting quantum field theory with quartic potential. Finally we discuss potential implications of our result for the Equivalence Principle and Purity of Hawking radiation.

[ { "created": "Tue, 19 Nov 2013 04:42:22 GMT", "version": "v1" }, { "created": "Sun, 24 Nov 2013 16:05:08 GMT", "version": "v2" }, { "created": "Wed, 18 Dec 2013 09:30:44 GMT", "version": "v3" }, { "created": "Thu, 16 Jan 2014 14:23:51 GMT", "version": "v4" } ]

2015-06-17

[ [ "Park", "I. Y.", "" ] ]

We reduce the BTZ spacetime to two kinds of hypersurfaces of foliation: one having a fixed radial coordinate and the other a fixed angular coordinate. The radial reduction leads to a Liouville type theory, and confirms, from the first principle, the expectation laid out in the literature. In the other endeavor, the angular reduction of the 3D gravity is carried out in two different ways; the first again yields a Liouville type theory (different from that of the radial reduction) and the second yields a 2D interacting quantum field theory with quartic potential. Finally we discuss potential implications of our result for the Equivalence Principle and Purity of Hawking radiation.

13.647717

12.581153

12.303347

11.985209

12.676029

12.256005

11.895609

12.54907

12.464658

13.308279

11.559764

12.093345

13.083982

11.967654

12.629208

12.096061

12.3009

12.098204

12.412866

12.598893

12.260293

hep-th/9409142

Timothy Hollowood

Jonathan M. Evans and Timothy J. Hollowood

The Exact Mass-Gap of the Supersymmetric CP^{n-1} Sigam Model

Plain TeX (macro included), CERN-TH.7426/94, SWAT/93-94/42

Phys.Lett. B343 (1995) 198-206

10.1016/0370-2693(94)01478-U

null

hep-th

null

A formula for the mass-gap of the supersymmetric $\CP^{n-1}$ sigma model ($n > 1$) in two dimensions is derived: $m/\Lambda_{\overline{\rm MS}}=\sin(\pi\Delta)/(\pi\Delta)$ where $\Delta=1/n$ and $m$ is the mass of the fundamental particle multiplet. This result is obtained by comparing two expressions for the free-energy density in the presence of a coupling to a conserved charge; one expression is computed from the exact S-matrix of K\"oberle and Kurak via the thermodynamic Bethe ansatz and the other is computed using conventional perturbation theory. These calculations provide a stringent test of the S-matrix, showing that it correctly reproduces the universal part of the beta-function and resolving the problem of CDD ambiguities.

[ { "created": "Fri, 23 Sep 1994 09:55:12 GMT", "version": "v1" } ]

2009-10-28

[ [ "Evans", "Jonathan M.", "" ], [ "Hollowood", "Timothy J.", "" ] ]

A formula for the mass-gap of the supersymmetric $\CP^{n-1}$ sigma model ($n > 1$) in two dimensions is derived: $m/\Lambda_{\overline{\rm MS}}=\sin(\pi\Delta)/(\pi\Delta)$ where $\Delta=1/n$ and $m$ is the mass of the fundamental particle multiplet. This result is obtained by comparing two expressions for the free-energy density in the presence of a coupling to a conserved charge; one expression is computed from the exact S-matrix of K\"oberle and Kurak via the thermodynamic Bethe ansatz and the other is computed using conventional perturbation theory. These calculations provide a stringent test of the S-matrix, showing that it correctly reproduces the universal part of the beta-function and resolving the problem of CDD ambiguities.

6.354531

5.081308

7.812214

5.989575

5.23788

5.025115

5.707617

5.842353

5.664083

8.307313

6.359028

5.837289

7.161419

6.16304

5.993318

5.960758

5.736462

6.133662

6.2614

6.701686

6.142168

hep-th/0511051

Dongsu Bak

Dongsu Bak, Kyungyu Kim and Nobuyoshi Ohta

M-theory Supertubes with Three and Four Charges

24 pages, references added and typos corrected

JHEP0601:072,2006

10.1088/1126-6708/2006/01/072

UOSTP 5101, OU-HET 544

hep-th

null

Using the covariant M5-brane action, we construct configurations corresponding to supertubes with three and four charges. We derive the BPS equations and study the full structure of the solutions. In particular, we find new solutions involving arbitrariness in field strengths.

[ { "created": "Fri, 4 Nov 2005 06:14:41 GMT", "version": "v1" }, { "created": "Sun, 6 Nov 2005 14:11:46 GMT", "version": "v2" }, { "created": "Tue, 15 Nov 2005 14:34:56 GMT", "version": "v3" } ]

2009-11-11

[ [ "Bak", "Dongsu", "" ], [ "Kim", "Kyungyu", "" ], [ "Ohta", "Nobuyoshi", "" ] ]

Using the covariant M5-brane action, we construct configurations corresponding to supertubes with three and four charges. We derive the BPS equations and study the full structure of the solutions. In particular, we find new solutions involving arbitrariness in field strengths.

12.478374

10.004276

13.95629

9.445777

9.096896

9.314073

9.841881

9.638269

9.023488

12.183877

9.154657

9.802695

11.111564

10.213248

9.702693

9.590936

10.242739

10.11077

10.196307

11.400195

10.142411

2205.07817

Stephen Ebert

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

$T\bar{T}$ in JT Gravity and BF Gauge Theory

92 pages

SciPost Phys. 13, 096 (2022)

10.21468/SciPostPhys.13.4.096

null

hep-th

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

JT gravity has a first-order formulation as a two-dimensional BF theory, which can be viewed as the dimensional reduction of the Chern-Simons description of $3d$ gravity. We consider $T\bar{T}$-type deformations of the $(0+1)$-dimensional dual to this $2d$ BF theory and interpret the deformation as a modification of the BF theory boundary conditions. The fundamental observables in this deformed BF theory, and in its $3d$ Chern-Simons lift, are Wilson lines and loops. In the $3d$ Chern-Simons setting, we study modifications to correlators involving boundary-anchored Wilson lines which are induced by a $T\bar{T}$ deformation on the $2d$ boundary; results are presented at both the classical level (using modified boundary conditions) and the quantum-mechanical level (using conformal perturbation theory). Finally, we calculate the analogous deformed Wilson line correlators in $2d$ BF theory below the Hagedorn temperature where the principal series dominates over the discrete series.

[ { "created": "Mon, 16 May 2022 17:17:07 GMT", "version": "v1" }, { "created": "Fri, 3 Jun 2022 07:39:28 GMT", "version": "v2" }, { "created": "Wed, 24 Aug 2022 09:46:07 GMT", "version": "v3" } ]

2022-10-19

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

JT gravity has a first-order formulation as a two-dimensional BF theory, which can be viewed as the dimensional reduction of the Chern-Simons description of $3d$ gravity. We consider $T\bar{T}$-type deformations of the $(0+1)$-dimensional dual to this $2d$ BF theory and interpret the deformation as a modification of the BF theory boundary conditions. The fundamental observables in this deformed BF theory, and in its $3d$ Chern-Simons lift, are Wilson lines and loops. In the $3d$ Chern-Simons setting, we study modifications to correlators involving boundary-anchored Wilson lines which are induced by a $T\bar{T}$ deformation on the $2d$ boundary; results are presented at both the classical level (using modified boundary conditions) and the quantum-mechanical level (using conformal perturbation theory). Finally, we calculate the analogous deformed Wilson line correlators in $2d$ BF theory below the Hagedorn temperature where the principal series dominates over the discrete series.

6.707385

6.672915

7.82955

6.208614

6.649206

6.320286

6.083798

6.257073

6.431189

7.757424

6.572761

6.343399

6.481623

6.237215

6.327024

6.360286

6.280962

6.194011

6.324744

6.874542

6.413043

hep-th/9408157

Li Jian-ming

Jianming Li

Matrix Realization of Gauge Theory on Discrete Group $Z_2$

Latex file, 10 pages, ASITP-94-9

null

hep-th

null

We construct a $2\times 2$ matrix algebra as representation of functions on discrete group $Z_2$ and develop the gauge theory on discrete group proposed by Starz in the matrix algebra. Accordingly, we show that the non-commutative geometry model built by R.Conquereax, G.Esposito-Farese and G.Vaillant results from this approach directly. For the purpose of Physical model building, we introduce a free fermion Lagrangian on $M_4\times Z_2$ and study Yang-Mills like gauge theory.

[ { "created": "Mon, 29 Aug 1994 21:03:53 GMT", "version": "v1" } ]

2007-05-23

[ [ "Li", "Jianming", "" ] ]

We construct a $2\times 2$ matrix algebra as representation of functions on discrete group $Z_2$ and develop the gauge theory on discrete group proposed by Starz in the matrix algebra. Accordingly, we show that the non-commutative geometry model built by R.Conquereax, G.Esposito-Farese and G.Vaillant results from this approach directly. For the purpose of Physical model building, we introduce a free fermion Lagrangian on $M_4\times Z_2$ and study Yang-Mills like gauge theory.

23.758286

26.020451

21.252102

21.903597

25.02253

28.825453

33.000957

23.921103

20.809381

25.321749

22.37812

21.860682

22.322771

20.749229

21.395992

22.448608

20.976053

20.156017

20.348129

22.173311

20.304424

0807.3453

David Richards

David M. Richards

The One-Loop H^2R^3 and H^2(DH)^2R Terms in the Effective Action

20 pages, 3 figures; corrected typos

JHEP 0810:043,2008

10.1088/1126-6708/2008/10/043

DAMTP-2008-61

hep-th

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

We consider the one-loop B^2h^3 and B^4h amplitudes in type II string theory, where B is the NS-NS two-form and h the graviton, and expand to lowest order in alpha'. After subtracting diagrams due to quartic terms in the effective action, we determine the presence and structure of both an H^2R^3 and H^2(DH)^2R term. We show that both terms are multiplied by the usual (t_8t_8\pm{1/8}\epsilon_{10}\epsilon_{10}) factor.

[ { "created": "Tue, 22 Jul 2008 11:08:07 GMT", "version": "v1" }, { "created": "Sun, 1 Mar 2009 14:42:32 GMT", "version": "v2" } ]

2011-08-04

[ [ "Richards", "David M.", "" ] ]

We consider the one-loop B^2h^3 and B^4h amplitudes in type II string theory, where B is the NS-NS two-form and h the graviton, and expand to lowest order in alpha'. After subtracting diagrams due to quartic terms in the effective action, we determine the presence and structure of both an H^2R^3 and H^2(DH)^2R term. We show that both terms are multiplied by the usual (t_8t_8\pm{1/8}\epsilon_{10}\epsilon_{10}) factor.

10.392739

8.942812

11.426487

8.414916

9.934171

10.934029

10.40557

9.951462

8.779827

12.624674

9.820895

9.820342

9.922893

9.201764

10.37242

10.834836

10.447787

10.158409

9.381789

10.576736

10.364612

hep-th/0612067

Takuya Okuda

Mina Aganagic, Takuya Okuda, Hirosi Ooguri

Quantum Entanglement of Baby Universes

42 pages; v.2 typos corrected

Nucl.Phys.B778:36-68,2007

10.1016/j.nuclphysb.2007.04.006

CALT-68-2622, NSF-KITP-06-118

hep-th gr-qc quant-ph

null

We study quantum entanglements of baby universes which appear in non-perturbative corrections to the OSV formula for the entropy of extremal black holes in Type IIA string theory compactified on the local Calabi-Yau manifold defined as a rank 2 vector bundle over an arbitrary genus G Riemann surface. This generalizes the result for G=1 in hep-th/0504221. Non-perturbative terms can be organized into a sum over contributions from baby universes, and the total wave-function is their coherent superposition in the third quantized Hilbert space. We find that half of the universes preserve one set of supercharges while the other half preserve a different set, making the total universe stable but non-BPS. The parent universe generates baby universes by brane/anti-brane pair creation, and baby universes are correlated by conservation of non-normalizable D-brane charges under the process. There are no other source of entanglement of baby universes, and all possible states are superposed with the equal weight.

[ { "created": "Thu, 7 Dec 2006 22:21:47 GMT", "version": "v1" }, { "created": "Fri, 15 Jun 2007 20:55:38 GMT", "version": "v2" } ]

2008-11-26

[ [ "Aganagic", "Mina", "" ], [ "Okuda", "Takuya", "" ], [ "Ooguri", "Hirosi", "" ] ]

We study quantum entanglements of baby universes which appear in non-perturbative corrections to the OSV formula for the entropy of extremal black holes in Type IIA string theory compactified on the local Calabi-Yau manifold defined as a rank 2 vector bundle over an arbitrary genus G Riemann surface. This generalizes the result for G=1 in hep-th/0504221. Non-perturbative terms can be organized into a sum over contributions from baby universes, and the total wave-function is their coherent superposition in the third quantized Hilbert space. We find that half of the universes preserve one set of supercharges while the other half preserve a different set, making the total universe stable but non-BPS. The parent universe generates baby universes by brane/anti-brane pair creation, and baby universes are correlated by conservation of non-normalizable D-brane charges under the process. There are no other source of entanglement of baby universes, and all possible states are superposed with the equal weight.

7.806211

9.446746

9.897888

8.307287

9.19379

9.089871

9.992267

8.722779

8.652835

9.687047

8.331604

8.095214

8.126197

7.627314

7.957886

7.89554

7.923157

7.849146

7.945035

8.157377

7.808272

hep-th/0605293

Michael T. Anderson

On the uniqueness and global dynamics of AdS spacetimes

18pp, significant revision of v1

Class.Quant.Grav.23:6935-6954,2006

10.1088/0264-9381/23/23/021

null

hep-th gr-qc math.DG

null

We study global aspects of complete, non-singular asymptotically locally AdS spacetimes solving the vacuum Einstein equations whose conformal infinity is an arbitrary globally stationary spacetime. It is proved that any such solution which is asymptotically stationary to the past and future is itself globally stationary. This gives certain rigidity or uniqueness results for exact AdS and related spacetimes.

[ { "created": "Wed, 31 May 2006 16:32:25 GMT", "version": "v1" }, { "created": "Fri, 9 Jun 2006 17:11:09 GMT", "version": "v2" }, { "created": "Thu, 10 Aug 2006 19:34:33 GMT", "version": "v3" } ]

2009-11-11

[ [ "Anderson", "Michael T.", "" ] ]

We study global aspects of complete, non-singular asymptotically locally AdS spacetimes solving the vacuum Einstein equations whose conformal infinity is an arbitrary globally stationary spacetime. It is proved that any such solution which is asymptotically stationary to the past and future is itself globally stationary. This gives certain rigidity or uniqueness results for exact AdS and related spacetimes.

10.972705

11.987524

10.724359

11.01806

11.304962

12.992846

12.798621

10.451364

12.729798

12.930803

11.624827

11.92046

11.265609

10.775513

10.676859

10.364671

11.014151

10.630884

11.471447

11.127232

11.31202

2407.13556

Javier Peraza

Silvia Nagy, Javier Peraza, Giorgio Pizzolo

Infinite-dimensional hierarchy of recursive extensions for all sub$^n$-leading soft effects in Yang-Mills

51 Pages, 4 figures

null

hep-th

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

Building on our proposal in arXiv:2405.06629, we present in detail the construction of the extended phase space for Yang-Mills at null infinity, containing the asymptotic symmetries and the charges responsible for sub$^n$-leading soft theorems at all orders. The generality of the procedure allows it to be directly applied to the computation of both tree and loop-level soft limits. We also give a detailed study of Yang-Mills equations under the radial expansion, giving a thorough construction of the radiative phase space for decays compatible with tree-level amplitudes for both light-cone and radial gauges. This gives rise to useful recursion relations at all orders between the field strength and the vector gauge coefficients. We construct the sub$^n$-leading charges recursively, and show a hierarchical truncation such that each charge subalgebra is closed, and their action in the extended phase space is canonical. We relate these results with the infinite-dimensional algebras that have been recently introduced in the context of conformal field theories at null infinity.

[ { "created": "Thu, 18 Jul 2024 14:29:05 GMT", "version": "v1" } ]

2024-07-19

[ [ "Nagy", "Silvia", "" ], [ "Peraza", "Javier", "" ], [ "Pizzolo", "Giorgio", "" ] ]

Building on our proposal in arXiv:2405.06629, we present in detail the construction of the extended phase space for Yang-Mills at null infinity, containing the asymptotic symmetries and the charges responsible for sub$^n$-leading soft theorems at all orders. The generality of the procedure allows it to be directly applied to the computation of both tree and loop-level soft limits. We also give a detailed study of Yang-Mills equations under the radial expansion, giving a thorough construction of the radiative phase space for decays compatible with tree-level amplitudes for both light-cone and radial gauges. This gives rise to useful recursion relations at all orders between the field strength and the vector gauge coefficients. We construct the sub$^n$-leading charges recursively, and show a hierarchical truncation such that each charge subalgebra is closed, and their action in the extended phase space is canonical. We relate these results with the infinite-dimensional algebras that have been recently introduced in the context of conformal field theories at null infinity.

13.930646

13.535165

14.70011

13.045037

13.5139

13.788204

13.378308

13.158381

13.144455

14.149499

13.690476

13.407235

13.614852

13.666965

13.325974

13.181619

13.253602

13.167657

13.12619

13.944575

13.029254

hep-th/0007132

Norman Dombey

N Dombey, P Kennedy and A Calogeracos

Supercriticality and Transmission Resonances in the Dirac equation

Submitted to Physical Review Letters

Phys.Rev.Lett. 85 (2000) 1787-1790

10.1103/PhysRevLett.85.1787

SUSX-TH/00-011

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

null

It is shown that a Dirac particle of mass $m$ and arbitrarily small momentum will tunnel without reflection through a potential barrier $V=U_c(x)$ of finite range provided that the potential well $V=-U_c(x)$ supports a bound state of energy $E=-m.$ This is called a supercritical potential well.

[ { "created": "Mon, 17 Jul 2000 13:24:43 GMT", "version": "v1" } ]

2009-10-31

[ [ "Dombey", "N", "" ], [ "Kennedy", "P", "" ], [ "Calogeracos", "A", "" ] ]

It is shown that a Dirac particle of mass $m$ and arbitrarily small momentum will tunnel without reflection through a potential barrier $V=U_c(x)$ of finite range provided that the potential well $V=-U_c(x)$ supports a bound state of energy $E=-m.$ This is called a supercritical potential well.

10.395967

10.80721

10.333599

9.043419

9.560565

10.460883

9.211907

10.195413

10.113676

10.306406

9.722853

10.150056

9.62551

9.515664

9.931515

9.727105

10.038457

9.743671

9.714051

8.627559

9.572541

hep-th/9702195

Juergen Fuchs

J. Fuchs

Universal simple current vertex operators

17 pages, LaTeX2e

Annals Phys. 266 (1998) 254-273

10.1006/aphy.1998.9999

DESY 97-023

hep-th

null

We construct a vertex operator realization for the simple current primary fields of WZW theories which are based on simply laced affine Lie algebras g. This is achieved by employing an embedding of the integrable highest weight modules of g into the Fock space for a bosonic string compactified on the weight lattice of g. Our vertex operators are universal in the sense that a single expression for the vertex operator holds simultaneously for all positive integral values of the level of g.

[ { "created": "Thu, 27 Feb 1997 15:40:40 GMT", "version": "v1" } ]

2009-10-30

[ [ "Fuchs", "J.", "" ] ]

We construct a vertex operator realization for the simple current primary fields of WZW theories which are based on simply laced affine Lie algebras g. This is achieved by employing an embedding of the integrable highest weight modules of g into the Fock space for a bosonic string compactified on the weight lattice of g. Our vertex operators are universal in the sense that a single expression for the vertex operator holds simultaneously for all positive integral values of the level of g.

8.186451

7.661532

9.834119

7.334496

7.454861

7.093232

8.260508

7.269268

6.808278

9.831008

6.825659

7.780952

7.851566

7.804953

7.924207

7.557501

7.633639

7.701411

7.747907

7.942906

7.544233

1801.10174

Konstantinos Siampos

Eftychia Sagkrioti, Konstantinos Sfetsos, Konstantinos Siampos

RG flows for $\lambda$-deformed CFTs

v1: 1+19 pages, Latex; v2: NPB version; v3: Mild simplifications of the conventions in section 2.1.2

null

10.1016/j.nuclphysb.2018.03.013

CERN-TH-2018-017

hep-th math-ph math.MP

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

We study the renormalization group equations of the fully anisotropic $\lambda$-deformed CFTs involving the direct product of two current algebras at different levels $k_{1,2}$ for general semi-simple groups. The exact, in the deformation parameters, $\beta$-function is found via the effective action of the quantum fluctuations around a classical background as well as from gravitational techniques. Furthermore, agreement with known results for symmetric couplings and/or for equal levels, is demonstrated. We study in detail the two coupling case arising by splitting the group into a subgroup and the corresponding coset manifold which consistency requires to be either a symmetric-space one or a non-symmetric Einstein-space.

[ { "created": "Tue, 30 Jan 2018 19:00:39 GMT", "version": "v1" }, { "created": "Thu, 29 Mar 2018 10:01:46 GMT", "version": "v2" }, { "created": "Tue, 15 May 2018 12:18:12 GMT", "version": "v3" } ]

2018-05-16

[ [ "Sagkrioti", "Eftychia", "" ], [ "Sfetsos", "Konstantinos", "" ], [ "Siampos", "Konstantinos", "" ] ]

We study the renormalization group equations of the fully anisotropic $\lambda$-deformed CFTs involving the direct product of two current algebras at different levels $k_{1,2}$ for general semi-simple groups. The exact, in the deformation parameters, $\beta$-function is found via the effective action of the quantum fluctuations around a classical background as well as from gravitational techniques. Furthermore, agreement with known results for symmetric couplings and/or for equal levels, is demonstrated. We study in detail the two coupling case arising by splitting the group into a subgroup and the corresponding coset manifold which consistency requires to be either a symmetric-space one or a non-symmetric Einstein-space.

16.91004

15.751027

17.646753

15.829378

15.907966

16.801582

16.099632

15.740193

15.372048

17.667786

15.2228

16.225025

16.186754

15.920201

16.601105

15.992419

15.511015

16.037024

16.066364

17.127214

15.251675

2006.11326

Luciano Abreu

L. M. Abreu, M. de Montigny and P. P. A. Ouimet

An effective field theory approach to monopolium

14 pages, 9 figures, 2 tables; accepted for publication in The European Physical Journal Plus

Eur. Phys. J. Plus 135, 543 (2020)

10.1140/epjp/s13360-020-00550-1

null

hep-th hep-ph

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

In this work we investigate the interaction between spin-zero and spin-one monopoles by making use of an effective field theory based on two-body and four-body interaction parts. In particular, we analyze the formation of bound state of monopole-antimonopole (i.e. monopolium). The magnetic-charge conjugation symmetry is studied in analogy to the usual charge conjugation to define a particle basis, for which we find bound-state solutions with relatively small binding energies and which allows us to identify the bounds on the parameters in the effective Lagrangians. Estimations of their masses, binding energies and scattering lengths are performed as functions of monopole masses and interaction strength in a specific renormalization scheme. We also examine the general validity of the approach and the feasibility of detecting the monopolium.

[ { "created": "Fri, 19 Jun 2020 19:01:29 GMT", "version": "v1" } ]

2020-07-08

[ [ "Abreu", "L. M.", "" ], [ "de Montigny", "M.", "" ], [ "Ouimet", "P. P. A.", "" ] ]

In this work we investigate the interaction between spin-zero and spin-one monopoles by making use of an effective field theory based on two-body and four-body interaction parts. In particular, we analyze the formation of bound state of monopole-antimonopole (i.e. monopolium). The magnetic-charge conjugation symmetry is studied in analogy to the usual charge conjugation to define a particle basis, for which we find bound-state solutions with relatively small binding energies and which allows us to identify the bounds on the parameters in the effective Lagrangians. Estimations of their masses, binding energies and scattering lengths are performed as functions of monopole masses and interaction strength in a specific renormalization scheme. We also examine the general validity of the approach and the feasibility of detecting the monopolium.

12.835752

13.007968

12.666826

12.008235

12.151472

13.324686

12.434323

12.544715

11.747817

13.442241

12.789205

12.401551

11.810257

11.932027

11.894132

12.786634

11.859551

12.609227

11.933757

11.848834

12.556837

1510.09060

Sang Kwan Choi

Sang Kwan Choi, Chaiho Rim, Hong Zhang

Irregular conformal block, spectral curve and flow equations

35 pages; v2: 38 pages, section 4 and references added, minor changes

JHEP03(2016)118

10.1007/JHEP03(2016)118

null

hep-th math-ph math.MP

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

Irregular conformal block is motivated by the Argyres-Douglas type of N=2 super conformal gauge theory. We investigate the classical/NS limit of the irregular conformal block using spectral curve on a Riemann surface with irregular punctures, which is equivalent to the loop equation of irregular matrix model. The spectral curve is reduced to the second order (Virasoro symmetry, $SU(2)$ for the gauge theory) and third order ($W_3$ symmetry, $SU(3)$) differential equations of a polynomial with finite degree. The Virasoro and W symmetry generate flow equations in the spectral curve and determine the irregular conformal block, hence the partition function of the Argyres-Douglas theory ala AGT conjecture.

[ { "created": "Fri, 30 Oct 2015 12:43:04 GMT", "version": "v1" }, { "created": "Fri, 4 Mar 2016 10:08:51 GMT", "version": "v2" } ]

2016-04-20

[ [ "Choi", "Sang Kwan", "" ], [ "Rim", "Chaiho", "" ], [ "Zhang", "Hong", "" ] ]

Irregular conformal block is motivated by the Argyres-Douglas type of N=2 super conformal gauge theory. We investigate the classical/NS limit of the irregular conformal block using spectral curve on a Riemann surface with irregular punctures, which is equivalent to the loop equation of irregular matrix model. The spectral curve is reduced to the second order (Virasoro symmetry, $SU(2)$ for the gauge theory) and third order ($W_3$ symmetry, $SU(3)$) differential equations of a polynomial with finite degree. The Virasoro and W symmetry generate flow equations in the spectral curve and determine the irregular conformal block, hence the partition function of the Argyres-Douglas theory ala AGT conjecture.

7.533718

7.999485

10.032691

7.856062

8.004979

8.332492

8.784654

7.974741

8.050943

10.256058

8.192347

7.321154

8.461514

7.536404

7.651535

7.769453

7.834246

7.238025

7.472077

8.084793

7.915717

1702.03383

Joseph C. V\'arilly

Jos\'e M. Gracia-Bond\'ia, Jens Mund and Joseph C. V\'arilly

The chirality theorem

Latex, 31 pages. v2: minor changes, 3 references added, author order now alphabetical. v3: substantial rewrite to improve presentation, conclusions unchanged. v4: minor edits to match published version, one reference added. To appear in Annales Henri Poincar\'e

Annales Henri Poincar\'e 19 (2018) 843-874

10.1007/s00023-017-0637-3

null

hep-th

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

We show how chirality of the weak interactions stems from string independence in the string-local formalism of quantum field theory.

[ { "created": "Sat, 11 Feb 2017 05:16:18 GMT", "version": "v1" }, { "created": "Fri, 10 Mar 2017 00:58:35 GMT", "version": "v2" }, { "created": "Tue, 21 Nov 2017 04:00:04 GMT", "version": "v3" }, { "created": "Sat, 23 Dec 2017 17:00:12 GMT", "version": "v4" } ]

2018-09-05

[ [ "Gracia-Bondía", "José M.", "" ], [ "Mund", "Jens", "" ], [ "Várilly", "Joseph C.", "" ] ]

We show how chirality of the weak interactions stems from string independence in the string-local formalism of quantum field theory.

28.380442

29.444975

22.375692

29.755081

37.344151

30.806438

25.391346

23.682186

22.757568

30.488441

29.803415

30.044689

26.532986

27.118469

33.224903

30.564732

28.668623

29.415281

26.54871

27.684834

26.536057

1012.1697

Taotao Qiu

Taotao Qiu and Kwei-Chou Yang

Non-Gaussianities of Single Field Inflation with Non-minimal Coupling

19 pages, 6 figures, one more section added, analytical results simplified

Phys.Rev.D83:084022,2011

10.1103/PhysRevD.83.084022

null

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

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

We investigate the non-Gaussianities of inflation driven by a single scalar field coupling non-minimally to the Einstein Gravity. We assume that the form of the scalar field is very general with an arbitrary sound speed. For convenience to study, we take the subclass that the non-minimal coupling term is linear to the Ricci scalar $R$. We define a parameter $\mu\equiv\epsilon_h/\epsilon_\theta$ where $\epsilon_h$ and $\epsilon_\theta$ are two kinds of slow-roll parameters, and obtain the dependence of the shape of the 3-point correlation function on $\mu$. We also show the estimator $F_{NL}$ in the equilateral limit. Finally, based on numerical calculations, we present the non-Gaussianities of non-minimal coupling chaotic inflation as an explicit example.

[ { "created": "Wed, 8 Dec 2010 07:50:20 GMT", "version": "v1" }, { "created": "Thu, 26 May 2011 06:13:27 GMT", "version": "v2" } ]

2011-05-27

[ [ "Qiu", "Taotao", "" ], [ "Yang", "Kwei-Chou", "" ] ]

We investigate the non-Gaussianities of inflation driven by a single scalar field coupling non-minimally to the Einstein Gravity. We assume that the form of the scalar field is very general with an arbitrary sound speed. For convenience to study, we take the subclass that the non-minimal coupling term is linear to the Ricci scalar $R$. We define a parameter $\mu\equiv\epsilon_h/\epsilon_\theta$ where $\epsilon_h$ and $\epsilon_\theta$ are two kinds of slow-roll parameters, and obtain the dependence of the shape of the 3-point correlation function on $\mu$. We also show the estimator $F_{NL}$ in the equilateral limit. Finally, based on numerical calculations, we present the non-Gaussianities of non-minimal coupling chaotic inflation as an explicit example.

7.69278

7.711745

7.786547

7.237224

7.809351

7.360998

8.36804

7.532732

7.506209

8.023401

7.789161

7.506865

7.661415

7.377885

7.318018

7.367274

7.696677

7.540092

7.429946

7.306511

7.234692

1812.08941

Enrico Herrmann

Samuel Abreu, Lance J. Dixon, Enrico Herrmann, Ben Page, Mao Zeng

The two-loop five-point amplitude in $\mathcal{N} =4$ super-Yang-Mills theory

6pages, 1 figure, 1 table; v2: references added, fixed typos, flipped overall sign of amplitude in ancillary files; v3: references and typos fixed

Phys. Rev. Lett. 122, 121603 (2019)

10.1103/PhysRevLett.122.121603

CP3-18-31, IPhT-18/170, SLAC-PUB-17369

hep-th hep-ph

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

We compute the symbol of the two-loop five-point scattering amplitude in $\mathcal{N}$ = 4 super-Yang-Mills theory, including its full color dependence. This requires constructing the symbol of all two-loop five-point nonplanar massless master integrals, for which we give explicit results.

[ { "created": "Fri, 21 Dec 2018 04:32:39 GMT", "version": "v1" }, { "created": "Mon, 7 Jan 2019 20:41:36 GMT", "version": "v2" }, { "created": "Thu, 28 Mar 2019 02:42:06 GMT", "version": "v3" } ]

2019-04-03

[ [ "Abreu", "Samuel", "" ], [ "Dixon", "Lance J.", "" ], [ "Herrmann", "Enrico", "" ], [ "Page", "Ben", "" ], [ "Zeng", "Mao", "" ] ]

We compute the symbol of the two-loop five-point scattering amplitude in $\mathcal{N}$ = 4 super-Yang-Mills theory, including its full color dependence. This requires constructing the symbol of all two-loop five-point nonplanar massless master integrals, for which we give explicit results.

6.934533

4.61025

6.868544

5.227801

5.885

5.466803

5.367704

4.957297

5.228305

7.010184

5.791019

5.785251

5.641489

5.565464

5.770789

6.062529

5.703437

6.276132

5.227331

6.290085

5.578831

hep-th/9904162

Alessandro Fabbri

R. Balbinot, A. Fabbri and I. Shapiro

Vacuum polarization in Schwarzschild space-time by anomaly induced effective actions

20 pages, latex; misprints corrected and references added

Nucl.Phys. B559 (1999) 301-319

10.1016/S0550-3213(99)00424-1

SU-ITP-99-17

hep-th gr-qc

null

The characteristic features of $<T_{\mu\nu}>$ in the Boulware, Unruh and Hartle-Hawking states for a conformal massless scalar field propagating in the Schwarzschild space-time are obtained by means of effective actions deduced by the trace anomaly. The actions are made local by the introduction of auxiliary fields and boundary conditions are carefully imposed on them in order to select the different quantum states.

[ { "created": "Mon, 26 Apr 1999 22:37:33 GMT", "version": "v1" }, { "created": "Fri, 21 May 1999 22:41:23 GMT", "version": "v2" } ]

2009-10-31

[ [ "Balbinot", "R.", "" ], [ "Fabbri", "A.", "" ], [ "Shapiro", "I.", "" ] ]

The characteristic features of $<T_{\mu\nu}>$ in the Boulware, Unruh and Hartle-Hawking states for a conformal massless scalar field propagating in the Schwarzschild space-time are obtained by means of effective actions deduced by the trace anomaly. The actions are made local by the introduction of auxiliary fields and boundary conditions are carefully imposed on them in order to select the different quantum states.

9.851195

8.087824

7.852551

6.994234

7.826757

6.884985

7.960855

6.511622

7.496071

8.759963

7.94081

7.784594

7.866007

7.801878

7.901474

7.767786

7.636137

7.43605

7.807259

7.888798

8.292647

2104.00601

Jordan Cotler

Jordan Cotler, Kristan Jensen

Wormholes and black hole microstates in AdS/CFT

64 pages, 6 figures; v2: modified discussion of brane nucleation in wormholes with torus boundary, added references

null

10.1007/JHEP09(2021)001

null

hep-th gr-qc

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

It has long been known that the coarse-grained approximation to the black hole density of states can be computed using classical Euclidean gravity. In this work we argue for another entry in the dictionary between Euclidean gravity and black hole physics, namely that Euclidean wormholes describe a coarse-grained approximation to the energy level statistics of black hole microstates. To do so we use the method of constrained instantons to obtain an integral representation of wormhole amplitudes in Einstein gravity and in full-fledged AdS/CFT. These amplitudes are non-perturbative corrections to the two-boundary problem in AdS quantum gravity. The full amplitude is likely UV sensitive, dominated by small wormholes, but we show it admits an integral transformation with a macroscopic, weakly curved saddle-point approximation. The saddle is the "double cone" geometry of Saad, Shenker, and Stanford, with fixed moduli. In the boundary description this saddle appears to dominate a smeared version of the connected two-point function of the black hole density of states, and suggests level repulsion in the microstate spectrum. Using these methods we further study Euclidean wormholes in pure Einstein gravity and in IIB supergravity on Euclidean AdS$_5\times\mathbb{S}^5$. We address the perturbative stability of these backgrounds and study brane nucleation instabilities in 10d supergravity. In particular, brane nucleation instabilities of the Euclidean wormholes are lifted by the analytic continuation required to obtain the Lorentzian spectral form factor from gravity. Our results indicate a factorization paradox in AdS/CFT.

[ { "created": "Thu, 1 Apr 2021 16:35:10 GMT", "version": "v1" }, { "created": "Wed, 5 May 2021 22:08:37 GMT", "version": "v2" } ]

2023-02-22

[ [ "Cotler", "Jordan", "" ], [ "Jensen", "Kristan", "" ] ]

It has long been known that the coarse-grained approximation to the black hole density of states can be computed using classical Euclidean gravity. In this work we argue for another entry in the dictionary between Euclidean gravity and black hole physics, namely that Euclidean wormholes describe a coarse-grained approximation to the energy level statistics of black hole microstates. To do so we use the method of constrained instantons to obtain an integral representation of wormhole amplitudes in Einstein gravity and in full-fledged AdS/CFT. These amplitudes are non-perturbative corrections to the two-boundary problem in AdS quantum gravity. The full amplitude is likely UV sensitive, dominated by small wormholes, but we show it admits an integral transformation with a macroscopic, weakly curved saddle-point approximation. The saddle is the "double cone" geometry of Saad, Shenker, and Stanford, with fixed moduli. In the boundary description this saddle appears to dominate a smeared version of the connected two-point function of the black hole density of states, and suggests level repulsion in the microstate spectrum. Using these methods we further study Euclidean wormholes in pure Einstein gravity and in IIB supergravity on Euclidean AdS$_5\times\mathbb{S}^5$. We address the perturbative stability of these backgrounds and study brane nucleation instabilities in 10d supergravity. In particular, brane nucleation instabilities of the Euclidean wormholes are lifted by the analytic continuation required to obtain the Lorentzian spectral form factor from gravity. Our results indicate a factorization paradox in AdS/CFT.

8.696239

9.160838

9.928524

8.754714

9.370223

8.808169

8.685332

8.798238

8.539333

10.828382

8.785004

8.978164

9.035027

8.67076

8.762497

8.896246

8.806294

8.536797

8.728725

9.219273

8.679001

1606.08443

Y\=uki Nakaguchi

Yuki Nakaguchi, Tatsuma Nishioka

A Holographic Proof of R\'enyi Entropic Inequalities

29 pages, 1 figure; v3: references added, our assumption for the proof clarified

null

10.1007/JHEP12(2016)129

IPMU-16-0090, UT-16-26

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

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

We prove R\'enyi entropic inequalities in a holographic setup based on the recent proposal for the holographic formula of R\'enyi entropies when the bulk is stable against any perturbation. Regarding the R\'enyi parameter as an inverse temperature, we reformulate the entropies in analogy with statistical mechanics, which provides us a concise interpretation of the inequalities as the positivities of entropy, energy and heat capacity. This analogy also makes clear a thermodynamic structure in deriving the holographic formula. As a by-product of the proof we obtain a holographic formula to calculate the quantum fluctuation of the modular Hamiltonian. A few examples of the capacity of entanglement are examined in detail.

[ { "created": "Mon, 27 Jun 2016 20:00:02 GMT", "version": "v1" }, { "created": "Mon, 11 Jul 2016 06:53:08 GMT", "version": "v2" }, { "created": "Thu, 22 Dec 2016 07:01:59 GMT", "version": "v3" } ]

2017-02-01

[ [ "Nakaguchi", "Yuki", "" ], [ "Nishioka", "Tatsuma", "" ] ]

We prove R\'enyi entropic inequalities in a holographic setup based on the recent proposal for the holographic formula of R\'enyi entropies when the bulk is stable against any perturbation. Regarding the R\'enyi parameter as an inverse temperature, we reformulate the entropies in analogy with statistical mechanics, which provides us a concise interpretation of the inequalities as the positivities of entropy, energy and heat capacity. This analogy also makes clear a thermodynamic structure in deriving the holographic formula. As a by-product of the proof we obtain a holographic formula to calculate the quantum fluctuation of the modular Hamiltonian. A few examples of the capacity of entanglement are examined in detail.

11.796677

10.692304

12.708605

9.900964

11.40118

10.450563

11.396681

11.124898

11.091562

13.337642

10.571308

10.304341

11.414362

10.356614

10.56028

10.256166

10.387779

10.481594

10.598682

11.63268

10.182185

hep-th/9910067

Maximilian Kreuzer

M. Kreuzer and Jian-Ge Zhou

Killing gauge for the 0-brane on $AdS_2 \times S^2$ coset superspace

14 pages, LaTeX2e

Phys.Lett. B472 (2000) 309-315

10.1016/S0370-2693(99)01443-4

TUW-99/23

hep-th

null

How to gauge fix $\k$-symmetry for the super 0-brane action on $AdS_2 \times S^2$ in Killing gauge properly is discussed in order to find the superconformal mechanics which describes super 0-brane probes moving on $AdS_2 \times S^2$. The dependence on the coordinate frame for the proper Killing gauge is considered and the subtleties of gauge-fixing $\k$-symmetry in Killing gauge are analysed explicitly. It is found that the Killing gauge works indeed without the imcompatibility if the magnetic charge of the super 0-brane is nonzero.

[ { "created": "Thu, 7 Oct 1999 15:24:08 GMT", "version": "v1" } ]

2009-10-31

[ [ "Kreuzer", "M.", "" ], [ "Zhou", "Jian-Ge", "" ] ]

How to gauge fix $\k$-symmetry for the super 0-brane action on $AdS_2 \times S^2$ in Killing gauge properly is discussed in order to find the superconformal mechanics which describes super 0-brane probes moving on $AdS_2 \times S^2$. The dependence on the coordinate frame for the proper Killing gauge is considered and the subtleties of gauge-fixing $\k$-symmetry in Killing gauge are analysed explicitly. It is found that the Killing gauge works indeed without the imcompatibility if the magnetic charge of the super 0-brane is nonzero.

12.346439

10.860168

12.434527

9.849923

11.140951

11.064432

11.170623

9.935342

10.219496

12.22173

10.037225

9.869502

10.540242

9.730655

9.520949

9.720378

9.398047

9.496528

9.756462

10.522957

9.759186

hep-th/0001148

Liangzhong

L.Z. Hu (Peking University)

U(1) gauge theory over discrete space-time and phase transitions

12 pages

null

IMH-99-08

hep-th

null

We first apply Connes' noncommutative geometry to a finite point space. The explicit form of the action functional of U(1) gauge field on this n-point space is obtained. We then consider the case when the n-point space is replaced by {space-time}\times{n-point space}. This action is shown to relate the Hamiltonian of the continuous-spin formulation of the Potts model. We argue that U(1) gauge theory on the discrete space-time determines the geometric origin of a class of phase transitions.

[ { "created": "Sat, 22 Jan 2000 09:03:54 GMT", "version": "v1" } ]

2007-05-23

[ [ "Hu", "L. Z.", "", "Peking University" ] ]

We first apply Connes' noncommutative geometry to a finite point space. The explicit form of the action functional of U(1) gauge field on this n-point space is obtained. We then consider the case when the n-point space is replaced by {space-time}\times{n-point space}. This action is shown to relate the Hamiltonian of the continuous-spin formulation of the Potts model. We argue that U(1) gauge theory on the discrete space-time determines the geometric origin of a class of phase transitions.

14.704499

14.900408

15.338058

13.250823

14.476835

15.210519

13.606496

14.713316

13.224117

15.016013

12.965823

13.933287

14.01061

13.660616

13.57828

13.812703

13.704515

13.918906

14.381068

13.614634

13.678734

2108.12090

Yosuke Imamura

Finite-$N$ superconformal index via the AdS/CFT correspondence

31 pages, 7 figures

null

TIT/HEP-686

hep-th

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

We propose a prescription to calculate the superconformal index of the ${\cal N}=4$ $U(N)$ supersymmetric Yang-Mills theory with finite $N$ on the AdS side. The finite $N$ corrections are included as contributions of D3-branes wrapped around three-cycles in $\boldsymbol{S}^5$, which are calculated as the index of the gauge theories realized on the wrapped branes. The single-wrapping contribution has been studied in a previous work, and we further confirm that the inclusion of multiple-wrapping contributions correctly reproduces the higher order terms as far as we have checked numerically.

[ { "created": "Fri, 27 Aug 2021 02:26:03 GMT", "version": "v1" } ]

2021-08-30

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

We propose a prescription to calculate the superconformal index of the ${\cal N}=4$ $U(N)$ supersymmetric Yang-Mills theory with finite $N$ on the AdS side. The finite $N$ corrections are included as contributions of D3-branes wrapped around three-cycles in $\boldsymbol{S}^5$, which are calculated as the index of the gauge theories realized on the wrapped branes. The single-wrapping contribution has been studied in a previous work, and we further confirm that the inclusion of multiple-wrapping contributions correctly reproduces the higher order terms as far as we have checked numerically.

7.22731

6.193594

7.702416

6.405134

6.044897

6.547244

6.270475

6.61634

6.213047

7.804778

6.146171

6.528354

7.517715

6.560543

6.329748

6.290107

6.365194

6.537748

6.688197

7.231251

6.573779

1310.4821

Alexander Zamolodchikov

Ising Spectroscopy II: Particles and poles at T>Tc

null

RUNHETC-2013-20

hep-th

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

I discuss particle content of the Ising field theory (the scaling limit of the Ising model in a magnetic field), in particular the evolution of its mass spectrum under the change of the scaling parameter. I consider both real and pure imaginary magnetic field. Here I address the high-temperature regime, where the spectrum of stable particles is relatively simple (there are from one to three particles, depending on the parameter). My goal is to understand analytic continuations of the masses to the domain of the parameter where they no longer exist as the stable particles. I use the natural tool -- the $2\to 2$ elastic scattering amplitude, with its poles associated with the stable particles, virtual and resonance states in a standard manner. Concentrating attention on the "real" poles (those corresponding to stable and virtual states) I propose a scenario on how the pattern of the poles evolves from the integrable point $T=T_c,\ H\neq 0$ to the free particle point $T>T_c,\ H=0$, and then, along the pure imaginary $H$, to the Yang-Lee critical point. Waypoints along this evolution path are located using TFFSA data. I also speculate about likely behavior of some of the resonance poles.

[ { "created": "Thu, 17 Oct 2013 19:52:42 GMT", "version": "v1" } ]

2013-10-18

[ [ "Zamolodchikov", "Alexander", "" ] ]

I discuss particle content of the Ising field theory (the scaling limit of the Ising model in a magnetic field), in particular the evolution of its mass spectrum under the change of the scaling parameter. I consider both real and pure imaginary magnetic field. Here I address the high-temperature regime, where the spectrum of stable particles is relatively simple (there are from one to three particles, depending on the parameter). My goal is to understand analytic continuations of the masses to the domain of the parameter where they no longer exist as the stable particles. I use the natural tool -- the $2\to 2$ elastic scattering amplitude, with its poles associated with the stable particles, virtual and resonance states in a standard manner. Concentrating attention on the "real" poles (those corresponding to stable and virtual states) I propose a scenario on how the pattern of the poles evolves from the integrable point $T=T_c,\ H\neq 0$ to the free particle point $T>T_c,\ H=0$, and then, along the pure imaginary $H$, to the Yang-Lee critical point. Waypoints along this evolution path are located using TFFSA data. I also speculate about likely behavior of some of the resonance poles.

12.413369

13.904012

13.657496

12.364609

12.832372

15.016247

13.103446

11.666507

12.34923

15.868485

11.825711

12.044839

12.145573

11.763176

12.160509

11.929731

11.569963

11.654822

12.18893

12.280514

11.819429

hep-th/0207119

Ira Wasserman

Gary Shiu, S.-H. Henry Tye and Ira Wasserman

Rolling Tachyon in Brane World Cosmology from Superstring Field Theory

4 pages, one figure. This version quantifies constraints on various phenomenological models for tachyon decay

Phys.Rev. D67 (2003) 083517

10.1103/PhysRevD.67.083517

null

hep-th gr-qc

null

The pressureless tachyonic matter recently found in superstring field theory has an over-abundance problem in cosmology. We argue that this problem is naturally solved in the brane inflationary scenario if almost all of the tachyon energy is drained (via its coupling to the inflaton and matter fields) to heating the universe, while the rest of the tachyon energy goes to a network of cosmic strings (lower-dimensional BPS D-branes) produced during the tachyon rolling at the end of inflation.

[ { "created": "Fri, 12 Jul 2002 15:54:55 GMT", "version": "v1" }, { "created": "Tue, 16 Jul 2002 17:39:58 GMT", "version": "v2" }, { "created": "Mon, 22 Jul 2002 17:54:03 GMT", "version": "v3" }, { "created": "Tue, 8 Oct 2002 16:40:46 GMT", "version": "v4" } ]

2009-11-07

[ [ "Shiu", "Gary", "" ], [ "Tye", "S. -H. Henry", "" ], [ "Wasserman", "Ira", "" ] ]

The pressureless tachyonic matter recently found in superstring field theory has an over-abundance problem in cosmology. We argue that this problem is naturally solved in the brane inflationary scenario if almost all of the tachyon energy is drained (via its coupling to the inflaton and matter fields) to heating the universe, while the rest of the tachyon energy goes to a network of cosmic strings (lower-dimensional BPS D-branes) produced during the tachyon rolling at the end of inflation.

11.560103

11.085846

12.03842

10.206486

10.305312

10.823093

10.296991

10.166596

9.759745

11.68579

9.862246

9.515918

11.346503

10.057455

9.943863

10.018172

9.450753

9.575249

9.879378

10.742522

9.922674

0903.0511

Vladimir Dobrev

V.K. Dobrev

Note on Centrally Extended su(2/2) and Serre Relations

6 pages, LATEX, v2: added references; v3: small changes and added reference

Fortsch.Phys.57:542-545,2009

10.1002/prop.200900052

null

hep-th math.QA

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

We point out that the nontrivial central extension of the superalgebra $su(2/2)$ is related to the some not so well-known Serre relations.

[ { "created": "Tue, 3 Mar 2009 12:02:53 GMT", "version": "v1" }, { "created": "Mon, 9 Mar 2009 15:32:31 GMT", "version": "v2" }, { "created": "Wed, 11 Mar 2009 17:01:51 GMT", "version": "v3" } ]

2009-08-03

[ [ "Dobrev", "V. K.", "" ] ]

We point out that the nontrivial central extension of the superalgebra $su(2/2)$ is related to the some not so well-known Serre relations.

14.954619

9.511835

15.026101

9.373154

10.79452

10.341774

10.953564

10.478384

9.772013

13.144925

10.665448

10.837461

14.080198

11.474864

11.626266

11.413481

10.680884

11.226289

10.749235

12.911576

11.355566

1308.5828

Dmitriy Pak

L.P. Zou, P.M. Zhang and D.G. Pak

Monopoles without magnetic charges: Finite energy monopole-antimonopole configurations in CP1 model and restricted QCD

8 pages, 8 figures, 1 table, final version accepted by Phys. Lett. B

Physics Letters B 728C (2014), pp. 650-657

10.1016/j.physletb.2013.12.043

null

hep-th

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

We propose a new type of regular monopole-like field configuration in quantum chromodynamics (QCD) and CP^1 model. The monopole configuration can be treated as a monopole-antimonopole pair without localized magnetic charges. An exact numeric solution for a simple monopole-antimonopole solution has been obtained in CP^1 model with an appropriate potential term. We suppose that similar monopole solutions may exist in effective theories of QCD and in the electroweak standard model.

[ { "created": "Tue, 27 Aug 2013 11:38:13 GMT", "version": "v1" }, { "created": "Sat, 31 Aug 2013 13:26:10 GMT", "version": "v2" }, { "created": "Mon, 30 Dec 2013 03:46:07 GMT", "version": "v3" } ]

2014-01-07

[ [ "Zou", "L. P.", "" ], [ "Zhang", "P. M.", "" ], [ "Pak", "D. G.", "" ] ]

We propose a new type of regular monopole-like field configuration in quantum chromodynamics (QCD) and CP^1 model. The monopole configuration can be treated as a monopole-antimonopole pair without localized magnetic charges. An exact numeric solution for a simple monopole-antimonopole solution has been obtained in CP^1 model with an appropriate potential term. We suppose that similar monopole solutions may exist in effective theories of QCD and in the electroweak standard model.

8.977845

7.565198

8.8859

7.46771

7.930466

7.509272

7.506242

7.980183

7.779672

9.601353

8.163896

8.153179

9.173135

8.323442

7.965385

8.230395

8.1719

8.337467

8.262382

8.92038

8.3269

2104.04536

Elizabeth Wildenhain

Ning Bao and Elizabeth Wildenhain

Black Hole Cannibalism

6 pages, 2 figures; Essay written for the Gravity Research Foundation 2021 Awards for Essays on Gravitation

null

10.1142/S0218271821420190

null

hep-th gr-qc quant-ph

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

We consider a version of the Hayden-Preskill thought experiment in which the message thrown into the black hole is itself a smaller black hole. We then discuss the implications of the existence of a recovery channel for this black hole message at asymptotic infinity, resulting in a sharpening of the black hole information paradox for observers who never need to approach a horizon. We suggest decoherence mechanisms as a way of resolving this sharpened paradox.

[ { "created": "Fri, 9 Apr 2021 18:00:10 GMT", "version": "v1" } ]

2022-01-26

[ [ "Bao", "Ning", "" ], [ "Wildenhain", "Elizabeth", "" ] ]

We consider a version of the Hayden-Preskill thought experiment in which the message thrown into the black hole is itself a smaller black hole. We then discuss the implications of the existence of a recovery channel for this black hole message at asymptotic infinity, resulting in a sharpening of the black hole information paradox for observers who never need to approach a horizon. We suggest decoherence mechanisms as a way of resolving this sharpened paradox.

11.557381

11.398513

12.278049

10.268002

12.608488

11.60139

12.371193

11.542533

11.466684

11.746688

10.688846

10.661993

10.924697

11.013463

11.311459

11.433226

10.843328

11.755779

10.952885

11.497246

10.970125

0812.3595

Ivan Gonzalez

Ivan Gonzalez, Ivan Schmidt

Modular application of an Integration by Fractional Expansion (IBFE) method to multiloop Feynman diagrams II

18 pages, 10 figures, 1 table

Phys.Rev.D79:126014,2009

10.1103/PhysRevD.79.126014

USM-TH-242

hep-th

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

A modular application of the integration by fractional expansion (IBFE) method for evaluating Feynman diagrams is extended to diagrams that contain loop triangle subdiagrams in their geometry. The technique is based in the replacement of this module or subdiagram by its corresponding multiregion expansion (MRE), which in turn is obtained from Schwinger's parametric representation of the diagram. The result is a topological reduction, transforming the triangular loop into an equivalent vertex, which simplifies the search for the MRE of the complete diagram. This procedure has important advantages with respect to considering the parametric representation of the whole diagram: the obtained MRE is reduced and the resulting hypergeometric series tend to have smaller multiplicity.

[ { "created": "Thu, 18 Dec 2008 19:09:05 GMT", "version": "v1" }, { "created": "Fri, 5 Jun 2009 13:31:03 GMT", "version": "v2" }, { "created": "Mon, 15 Jun 2009 17:30:37 GMT", "version": "v3" } ]

2009-07-09

[ [ "Gonzalez", "Ivan", "" ], [ "Schmidt", "Ivan", "" ] ]

A modular application of the integration by fractional expansion (IBFE) method for evaluating Feynman diagrams is extended to diagrams that contain loop triangle subdiagrams in their geometry. The technique is based in the replacement of this module or subdiagram by its corresponding multiregion expansion (MRE), which in turn is obtained from Schwinger's parametric representation of the diagram. The result is a topological reduction, transforming the triangular loop into an equivalent vertex, which simplifies the search for the MRE of the complete diagram. This procedure has important advantages with respect to considering the parametric representation of the whole diagram: the obtained MRE is reduced and the resulting hypergeometric series tend to have smaller multiplicity.

15.654354

16.132158

16.840473

13.544017

14.653991

14.521705

13.985653

14.415571

14.427871

17.418568

14.534781

15.346562

14.989454

14.385095

14.995381

14.752593

14.545712

15.009596

14.65675

14.756969

14.954918

hep-th/9911069

Sukanta Bose

Sukanta Bose (Cardiff Univ.), Naresh Dadhich (IUCAA), and Sayan Kar (IIT-Kharagpur)

New classes of black hole spacetimes in 2+1 gravity

8 pages

Phys.Lett. B477 (2000) 451-456

10.1016/S0370-2693(00)00191-X

IUCAA-40/99

hep-th gr-qc

null

The electrogravity transformation is applied to the three-dimensional Einstein field equations to obtain new multi-parameter families of black hole solutions. The Ba\~{n}ados-Teitelboim-Zanelli black hole is shown to be a special case of one of these families. The causal structure, associated matter, as well as the mechanical and thermodynamical properties of some of the solutions are discussed.

[ { "created": "Wed, 10 Nov 1999 20:00:49 GMT", "version": "v1" } ]

2009-10-31

[ [ "Bose", "Sukanta", "", "Cardiff Univ." ], [ "Dadhich", "Naresh", "", "IUCAA" ], [ "Kar", "Sayan", "", "IIT-Kharagpur" ] ]

The electrogravity transformation is applied to the three-dimensional Einstein field equations to obtain new multi-parameter families of black hole solutions. The Ba\~{n}ados-Teitelboim-Zanelli black hole is shown to be a special case of one of these families. The causal structure, associated matter, as well as the mechanical and thermodynamical properties of some of the solutions are discussed.

8.119283

7.644335

7.040941

6.699738

7.115586

6.758139

7.163219

6.996917

7.194309

7.641236

7.527521

7.39155

7.051996

6.996301

7.097038

7.079572

7.347391

6.880063

7.446175

7.282659

7.184528

1001.1444

Borun Chowdhury

Borun D. Chowdhury, Amitabh Virmani

Modave Lectures on Fuzzballs and Emission from the D1-D5 System

54 pages, 20 figures; notes of lectures presented at the 5th Modave Summer School; to appear in proceedings of the Solvay Institutes; v3 minor typos corrected

null

hep-th

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

These lecture notes present an introduction to the fuzzball proposal and emission from the D1-D5 system which is geared to an audience of graduate students and others with little background in the subject. The presentation begins with a discussion of the Penrose process and Hawking radiation. The fuzzball proposal is then introduced, and the two- and three-charge systems are reviewed. In the three-charge case details are not discussed. A detailed discussion of emission calculations for D1-D5-P black holes and for certain non-extremal fuzzballs from both the gravity and CFT perspectives is included. We explicitly demonstrate how seemingly different emission processes in gravity, namely, Hawking radiation and superradiance from D1-D5-P black holes, and ergoregion emission from certain non-extremal fuzzballs, are only different manifestations of the same phenomenon in the CFT.

[ { "created": "Sun, 10 Jan 2010 12:57:58 GMT", "version": "v1" }, { "created": "Mon, 11 Jan 2010 22:29:15 GMT", "version": "v2" }, { "created": "Wed, 8 Sep 2010 11:59:04 GMT", "version": "v3" } ]

2010-09-09

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

These lecture notes present an introduction to the fuzzball proposal and emission from the D1-D5 system which is geared to an audience of graduate students and others with little background in the subject. The presentation begins with a discussion of the Penrose process and Hawking radiation. The fuzzball proposal is then introduced, and the two- and three-charge systems are reviewed. In the three-charge case details are not discussed. A detailed discussion of emission calculations for D1-D5-P black holes and for certain non-extremal fuzzballs from both the gravity and CFT perspectives is included. We explicitly demonstrate how seemingly different emission processes in gravity, namely, Hawking radiation and superradiance from D1-D5-P black holes, and ergoregion emission from certain non-extremal fuzzballs, are only different manifestations of the same phenomenon in the CFT.

7.629454

8.008972

7.75823

7.226853

7.384611

8.301023

7.997808

7.296668

7.760141

9.114269

7.651354

7.36615

7.906283

7.400285

7.429638

7.292516

7.396891

7.193923

7.440281

7.83543

7.100725

1907.06353

Robert Brandenberger

Robert Brandenberger, Juerg Froehlich and Ryo Namba (McGill and ETH Zuerich)

Unified Dark Matter, Dark Energy and Baryogenesis via a "Cosmological Wetting Transition''

8 pages, 1 figure, matches version accepted in JCAP, a couple of minor clarifications compared to the initial version

null

10.1088/1475-7516/2019/09/069

null

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

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

In a recent publication \cite{us}, a cosmological scenario featuring a scalar field, $\varphi$, that is a source for Dark Matter and Dark Energy has been proposed. In this paper, a concrete realization of that scenario is presented. As in many models of scalar-field driven Dark Energy, the effective Lagrangian of the field $\varphi$ contains a potential proportional to $e^{-\varphi/f}$. This potential is modulated in such a way that, in the absence of other matter fields, it has a local minimum at a small value of $\varphi$. Fluctuations of $\varphi$ around this minimum give rise to a gas of dark-matter particles. The field $\varphi$ is coupled to another scalar field $\chi$ in such a way that the minimum in the effective potential of $\varphi$ disappears when, after a continuous phase transition accompanied by spontaneous symmetry breaking, $\chi$ develops a non-vanishing expectation value. This triggers slow growth of a homogeneous component of $\varphi$ accompanied by the emergence of Dark Energy, a phenomenon analogous to the "wetting transition" in statistical mechanics. Inside regions of the Universe where the pressure is small and the energy density is large enough to stall expansion, in particular around galaxies and galaxy clusters, the phase transition in the state of $\chi$ does not take place, and a gas of cold dark-matter particles persists. The evolution of $\varphi$ at very early times may tune the rate of baryogenesis.

[ { "created": "Mon, 15 Jul 2019 07:50:43 GMT", "version": "v1" }, { "created": "Fri, 20 Sep 2019 17:42:58 GMT", "version": "v2" } ]

2019-10-09

[ [ "Brandenberger", "Robert", "", "McGill and ETH\n Zuerich" ], [ "Froehlich", "Juerg", "", "McGill and ETH\n Zuerich" ], [ "Namba", "Ryo", "", "McGill and ETH\n Zuerich" ] ]

In a recent publication \cite{us}, a cosmological scenario featuring a scalar field, $\varphi$, that is a source for Dark Matter and Dark Energy has been proposed. In this paper, a concrete realization of that scenario is presented. As in many models of scalar-field driven Dark Energy, the effective Lagrangian of the field $\varphi$ contains a potential proportional to $e^{-\varphi/f}$. This potential is modulated in such a way that, in the absence of other matter fields, it has a local minimum at a small value of $\varphi$. Fluctuations of $\varphi$ around this minimum give rise to a gas of dark-matter particles. The field $\varphi$ is coupled to another scalar field $\chi$ in such a way that the minimum in the effective potential of $\varphi$ disappears when, after a continuous phase transition accompanied by spontaneous symmetry breaking, $\chi$ develops a non-vanishing expectation value. This triggers slow growth of a homogeneous component of $\varphi$ accompanied by the emergence of Dark Energy, a phenomenon analogous to the "wetting transition" in statistical mechanics. Inside regions of the Universe where the pressure is small and the energy density is large enough to stall expansion, in particular around galaxies and galaxy clusters, the phase transition in the state of $\chi$ does not take place, and a gas of cold dark-matter particles persists. The evolution of $\varphi$ at very early times may tune the rate of baryogenesis.

6.862611

7.558338

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6.757669

7.012618

7.135735

6.875896

7.027782

6.882133

6.957142

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6.507074

6.517795

6.505351

6.472692

6.600482

6.578216

6.490426

6.576395

6.586949

6.562449

1411.6670

Gian Paolo Vacca

J. Bartels, C. Contreras and G. P. Vacca

Renormalization group analysis of reggeon field theory: flow equations

4 pages, 1 figure, To appear in the Proceedings of conference: Diffraction 2014 - International Workshop on Diffraction in High-Energy Physics

null

10.1063/1.4915993

null

hep-th

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

Can large distance high energy QCD be described by Reggeon Field Theory as an effective emergent theory? We start to investigate the issue employing functional renormalisation group techniques.

[ { "created": "Mon, 24 Nov 2014 22:15:21 GMT", "version": "v1" } ]

2015-06-23

[ [ "Bartels", "J.", "" ], [ "Contreras", "C.", "" ], [ "Vacca", "G. P.", "" ] ]

Can large distance high energy QCD be described by Reggeon Field Theory as an effective emergent theory? We start to investigate the issue employing functional renormalisation group techniques.

24.080147

25.343632

18.85487

20.500597

23.096342

24.541864

27.639708

20.714624

22.000811

18.525232

20.413219

18.546286

16.892199

17.351297

17.46213

18.364216

17.786999

17.375473

17.507488

15.814425

22.523315

hep-th/9401121

Wolfgang Lerche

W. Lerche

Chiral Rings and Integrable Systems for Models of Topological Gravity

19p, plain tex, 1 uuencoded PostScript figure

null

hep-th

null

(Talk given at Strings '93, Berkeley, and at XXVII. Internationales Symposium \"uber Elementarteilchentheorie, Wendisch-Rietz, 1993) We review the superconformal properties of matter coupled to $2d$ gravity, and $W$-extensions thereof. We show in particular how the \nex2 structure provides a direct link between certain matter-gravity systems and matrix models. We also show that much, probably all, of this can be generalized to $W$-gravity, and this leads to an infinite class of new exactly solvable systems. These systems are governed by certain integrable hierarchies, which are generalizations of the usual KdV hierarchy and whose algebraic structure is given in terms of quantum cohomology rings of grassmannians.

[ { "created": "Tue, 25 Jan 1994 10:38:44 GMT", "version": "v1" } ]

2007-05-23

[ [ "Lerche", "W.", "" ] ]

(Talk given at Strings '93, Berkeley, and at XXVII. Internationales Symposium \"uber Elementarteilchentheorie, Wendisch-Rietz, 1993) We review the superconformal properties of matter coupled to $2d$ gravity, and $W$-extensions thereof. We show in particular how the \nex2 structure provides a direct link between certain matter-gravity systems and matrix models. We also show that much, probably all, of this can be generalized to $W$-gravity, and this leads to an infinite class of new exactly solvable systems. These systems are governed by certain integrable hierarchies, which are generalizations of the usual KdV hierarchy and whose algebraic structure is given in terms of quantum cohomology rings of grassmannians.

11.547528

9.858999

12.891173

9.321848

10.322299

10.506227

10.960055

9.788176

10.321974

12.908484

9.515388

9.958583

10.565201

10.18189

10.174706

9.89559

10.071977

9.783956

9.762576

11.085543

9.859178

hep-th/9902095

null

A.A. Tseytlin and K. Zarembo

Effective potential in non-supersymmetric SU(N) x SU(N) gauge theory and interactions of type 0 D3-branes

14 pages, latex, v2: minor corrections, v3: a comment and references added at the end of section 5

Phys.Lett.B457:77-86,1999

10.1016/S0370-2693(99)00471-2

ITEP-TH-4/99, Imperial/TP/98-99/41

hep-th

null

We study some aspects of short-distance interaction between parallel D3-branes in type 0 string theory as described by the corresponding world-volume gauge theory. We compute the one-loop effective potential in the non-supersymmetric SU(N) x SU(N) gauge theory (which is a Z_2 projection of the U(2N) n=4 SYM theory) representing dyonic branes composed of N electric and N magnetic D3-branes. The branes of the same type repel at short distances, but an electric and a magnetic brane attract, and the forces between self-dual branes cancel. The self-dual configuration (with the positions of the electric and the magnetic branes, i.e. the diagonal entries of the adjoint scalar fields, being the same) is stable against separation of one electric or one magnetic brane, but is unstable against certain modes of separation of several same-type branes. This instability should be suppressed in the large N limit, i.e. should be irrelevant for the large N CFT interpretation of the gauge theory suggested in hep-th/9901101.

[ { "created": "Fri, 12 Feb 1999 22:54:19 GMT", "version": "v1" }, { "created": "Mon, 22 Feb 1999 16:12:04 GMT", "version": "v2" }, { "created": "Wed, 24 Feb 1999 10:59:34 GMT", "version": "v3" } ]

2009-09-17

[ [ "Tseytlin", "A. A.", "" ], [ "Zarembo", "K.", "" ] ]

We study some aspects of short-distance interaction between parallel D3-branes in type 0 string theory as described by the corresponding world-volume gauge theory. We compute the one-loop effective potential in the non-supersymmetric SU(N) x SU(N) gauge theory (which is a Z_2 projection of the U(2N) n=4 SYM theory) representing dyonic branes composed of N electric and N magnetic D3-branes. The branes of the same type repel at short distances, but an electric and a magnetic brane attract, and the forces between self-dual branes cancel. The self-dual configuration (with the positions of the electric and the magnetic branes, i.e. the diagonal entries of the adjoint scalar fields, being the same) is stable against separation of one electric or one magnetic brane, but is unstable against certain modes of separation of several same-type branes. This instability should be suppressed in the large N limit, i.e. should be irrelevant for the large N CFT interpretation of the gauge theory suggested in hep-th/9901101.

7.895728

7.576031

8.808056

7.315262

7.827827

8.339974

7.632308

7.528744

7.560313

9.766159

7.474219

7.560531

8.000282

7.845049

7.5377

7.638035

7.546347

7.720757

7.507409

8.1352

7.412991

1004.1841

Leszek Hadasz

Leszek Hadasz, Zbigniew Jaskolski and Paulina Suchanek

Proving the AGT relation for N_f = 0,1,2 antifundamentals

LaTeX, 20+1 pages, version 2: added references and typos corrected

JHEP 1006:046,2010

10.1007/JHEP06(2010)046

null

hep-th

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

Using recursive relations satisfied by Nekrasov partition functions and by irregular conformal blocks we prove the AGT correspondence in the case of N=2 superconformal SU(2) quiver gauge theories with N_f = 0,1,2 antifundamental hypermultiplets

[ { "created": "Sun, 11 Apr 2010 20:52:50 GMT", "version": "v1" }, { "created": "Tue, 8 Jun 2010 15:44:06 GMT", "version": "v2" } ]

2014-11-20

[ [ "Hadasz", "Leszek", "" ], [ "Jaskolski", "Zbigniew", "" ], [ "Suchanek", "Paulina", "" ] ]

Using recursive relations satisfied by Nekrasov partition functions and by irregular conformal blocks we prove the AGT correspondence in the case of N=2 superconformal SU(2) quiver gauge theories with N_f = 0,1,2 antifundamental hypermultiplets

6.107667

5.241498

8.551961

4.630731

4.554911

4.766519

4.593204

4.780665

4.660334

8.553162

4.663043

4.809565

6.022992

4.985626

4.814227

4.926523

4.916265

4.840365

4.828931

6.773887

4.75822

hep-th/0008201

Matteo Bertolini

M. Bertolini, M. Trigiante

Microscopic entropy of the most general four-dimensional BPS black hole

15 pages, latex. Misprints corrected, few points clarified and a reference added

JHEP 0010:002,2000

10.1088/1126-6708/2000/10/002

NORDITA-2000/59 HE, SWAT/265

hep-th gr-qc

null

In a recent paper we have given the macroscopic and microscopic description of the generating solution of toroidally compactified string theory BPS black holes. In this note we compute its corresponding microscopic entropy. Since by definition the generating solution is the most general solution modulo U-duality transformations, this result allows for a description of the fundamental degrees of freedom accounting for the entropy of any regular BPS black holes of toroidally compactified string (or M) theory.

[ { "created": "Fri, 25 Aug 2000 16:52:38 GMT", "version": "v1" }, { "created": "Mon, 18 Sep 2000 14:36:28 GMT", "version": "v2" } ]

2010-11-19

[ [ "Bertolini", "M.", "" ], [ "Trigiante", "M.", "" ] ]

In a recent paper we have given the macroscopic and microscopic description of the generating solution of toroidally compactified string theory BPS black holes. In this note we compute its corresponding microscopic entropy. Since by definition the generating solution is the most general solution modulo U-duality transformations, this result allows for a description of the fundamental degrees of freedom accounting for the entropy of any regular BPS black holes of toroidally compactified string (or M) theory.

12.200312

9.081934

9.937175

9.213566

9.105258

9.426668

9.091767

9.597118

9.233658

11.973857

9.622982

9.137816

9.955545

9.217914

8.980202

9.144479

9.023723

8.86999

9.02997

9.979396

8.919782

hep-th/0506128

Umut Gursoy

Daniel Z. Freedman and Umut Gursoy

Comments on the beta-deformed N=4 SYM Theory

18 pages, 1 figure. 2nd version: typos corrected, one reference added

JHEP 0511:042,2005

10.1088/1126-6708/2005/11/042

null

hep-th

null

Several calculations of 2- and 3-point correlation functions in the deformed theory are presented. The central charge in the Lunin-Maldacena gravity dual is shown to be independent of the deformation parameter. Calculations show that 2- and 3-point functions of chiral primary operators have no radiative corrections to lowest order in the interactions. Correlators of the operator tr(Z_1Z_2), which has not previously been identified as chiral primary, also have vanishing lowest order corrections.

[ { "created": "Wed, 15 Jun 2005 20:17:37 GMT", "version": "v1" }, { "created": "Tue, 28 Jun 2005 20:10:15 GMT", "version": "v2" } ]

2009-11-11

[ [ "Freedman", "Daniel Z.", "" ], [ "Gursoy", "Umut", "" ] ]

Several calculations of 2- and 3-point correlation functions in the deformed theory are presented. The central charge in the Lunin-Maldacena gravity dual is shown to be independent of the deformation parameter. Calculations show that 2- and 3-point functions of chiral primary operators have no radiative corrections to lowest order in the interactions. Correlators of the operator tr(Z_1Z_2), which has not previously been identified as chiral primary, also have vanishing lowest order corrections.

8.889334

8.005899

9.249011

7.477417

7.994755

7.762891

7.623477

7.402593

7.238986

9.71769

7.175597

7.63535

9.041693

7.759321

8.073585

7.653556

7.908285

7.684453

7.89051

9.01478

7.789594

2101.12494

Neven Bili\'c

Neven Bili\'c and Julio C. Fabris

Analog dual to a 2+1-dimensional holographic superconductor

20 pages, 3 figures, typos corrected, Introduction and Section 3.2 expanded, one figure removed, references added, matches the accepted version in CQG

Class. Quantum Grav. 38 (2021) 165007

10.1088/1361-6382/ac1207

RBI-ThPhys-2021-7

hep-th gr-qc

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

We study an analog hydrodynamic model that mimics a 3+1 AdS planar BH spacetime dual to a 2+1-dimensional superconductor. We demonstrate that the AdS$_4$ bulk and its holographic dual could be realized in nature in an analog gravity model based on fluid dynamics. In particular we mimic the metric of an $O_2$ holographic superconductor and calculate the entanglement entropy of a conveniently designed subsystem at the boundary of the analog AdS$_4$ bulk.

[ { "created": "Fri, 29 Jan 2021 10:01:23 GMT", "version": "v1" }, { "created": "Tue, 2 Mar 2021 15:05:41 GMT", "version": "v2" }, { "created": "Wed, 14 Apr 2021 07:52:54 GMT", "version": "v3" }, { "created": "Sun, 25 Jul 2021 13:19:44 GMT", "version": "v4" } ]

2021-07-27

[ [ "Bilić", "Neven", "" ], [ "Fabris", "Julio C.", "" ] ]

We study an analog hydrodynamic model that mimics a 3+1 AdS planar BH spacetime dual to a 2+1-dimensional superconductor. We demonstrate that the AdS$_4$ bulk and its holographic dual could be realized in nature in an analog gravity model based on fluid dynamics. In particular we mimic the metric of an $O_2$ holographic superconductor and calculate the entanglement entropy of a conveniently designed subsystem at the boundary of the analog AdS$_4$ bulk.

13.613862

11.801233

12.562566

12.810387

12.576255

13.041656

14.040139

11.572565

13.403236

15.839514

12.378746

12.565349

12.79675

11.475075

12.270355

12.064759

12.793865

11.6052

12.16438

12.187723

12.737041

hep-th/0508225

Karl-Georg Schlesinger

Harald Grosse, Karl-Georg Schlesinger

On deformation theory of quantum vertex algebras

22 pages

null

hep-th

null

We study an algebraic deformation problem which captures the data of the general deformation problem for a quantum vertex algebra. We derive a system of coupled equations which is the counterpart of the Maurer-Cartan equation on the usual Hochschild complex of an assocative algebra. We show that this system of equations results from an action principle. This might be the starting point for a perturbative treatment of the deformation problem of quantum vertex algebras. Our action generalizes the action of the Kodaira-Spencer theory of gravity and might therefore also be of relevance for applications in string theory.

[ { "created": "Tue, 30 Aug 2005 12:00:28 GMT", "version": "v1" } ]

2007-05-23

[ [ "Grosse", "Harald", "" ], [ "Schlesinger", "Karl-Georg", "" ] ]

We study an algebraic deformation problem which captures the data of the general deformation problem for a quantum vertex algebra. We derive a system of coupled equations which is the counterpart of the Maurer-Cartan equation on the usual Hochschild complex of an assocative algebra. We show that this system of equations results from an action principle. This might be the starting point for a perturbative treatment of the deformation problem of quantum vertex algebras. Our action generalizes the action of the Kodaira-Spencer theory of gravity and might therefore also be of relevance for applications in string theory.

10.062973

9.741969

10.756892

9.198457

8.756473

10.422053

9.953505

9.479548

10.089532

12.458838

9.538444

8.850204

9.624219

8.941943

8.762763

8.807257

8.850298

8.978819

8.758894

9.628737

8.99294

1004.0752

Shih-Hung Chen

Itzhak Bars and Shih-Hung Chen

The Big Bang and Inflation United by an Analytic Solution

V2 improve computation with better agreement with WMAP 7 years data, and also point out an exact solution for cyclic cosmology

Phys.Rev.D83:043522,2011

10.1103/PhysRevD.83.043522

USC-HEP-10B2

hep-th gr-qc hep-ph

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

Exact analytic solutions for a class of scalar-tensor gravity theories with a hyperbolic scalar potential are presented. Using an exact solution we have successfully constructed a model of inflation that produces the spectral index, the running of the spectral index and the amplitude of scalar perturbations within the constraints given by the WMAP 7 years data. The model simultaneously describes the Big Bang and inflation connected by a specific time delay between them so that these two events are regarded as dependent on each other. In solving the Fridemann equations, we have utilized an essential Weyl symmetry of our theory in 3+1 dimensions which is a predicted remaining symmetry of 2T-physics field theory in 4+2 dimensions. This led to a new method of obtaining analytic solutions in 1T field theory which could in principle be used to solve more complicated theories with more scalar fields. Some additional distinguishing properties of the solution includes the fact that there are early periods of time when the slow roll approximation is not valid. Furthermore, the inflaton does not decrease monotonically with time, rather it oscillates around the potential minimum while settling down, unlike the slow roll approximation. While the model we used for illustration purposes is realistic in most respects, it lacks a mechanism for stopping inflation. The technique of obtaining analytic solutions opens a new window for studying inflation, and other applications, more precisely than using approximations.

[ { "created": "Tue, 6 Apr 2010 01:58:13 GMT", "version": "v1" }, { "created": "Thu, 16 Dec 2010 05:22:49 GMT", "version": "v2" } ]

2011-03-23

[ [ "Bars", "Itzhak", "" ], [ "Chen", "Shih-Hung", "" ] ]

Exact analytic solutions for a class of scalar-tensor gravity theories with a hyperbolic scalar potential are presented. Using an exact solution we have successfully constructed a model of inflation that produces the spectral index, the running of the spectral index and the amplitude of scalar perturbations within the constraints given by the WMAP 7 years data. The model simultaneously describes the Big Bang and inflation connected by a specific time delay between them so that these two events are regarded as dependent on each other. In solving the Fridemann equations, we have utilized an essential Weyl symmetry of our theory in 3+1 dimensions which is a predicted remaining symmetry of 2T-physics field theory in 4+2 dimensions. This led to a new method of obtaining analytic solutions in 1T field theory which could in principle be used to solve more complicated theories with more scalar fields. Some additional distinguishing properties of the solution includes the fact that there are early periods of time when the slow roll approximation is not valid. Furthermore, the inflaton does not decrease monotonically with time, rather it oscillates around the potential minimum while settling down, unlike the slow roll approximation. While the model we used for illustration purposes is realistic in most respects, it lacks a mechanism for stopping inflation. The technique of obtaining analytic solutions opens a new window for studying inflation, and other applications, more precisely than using approximations.

12.288955

12.486548

13.125505

12.042151

12.937881

12.961484

13.123183

12.155599

12.188162

13.461121

12.319828

12.71175

12.219729

12.360741

12.828058

12.790266

12.708186

12.220576

12.090563

12.568986

12.116485

0801.3909

N. I. Stoilova

N.I. Stoilova and J. Van der Jeugt

Parafermions, parabosons and representations of so(\infty) and osp(1|\infty)

null

Int.J.Math.20:693-715,2009

10.1142/S0129167X09005467

null

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

null

The goal of this paper is to give an explicit construction of the Fock spaces of the parafermion and the paraboson algebra, for an infinite set of generators. This is equivalent to constructing certain unitary irreducible lowest weight representations of the (infinite rank) Lie algebra so(\infty) and of the Lie superalgebra osp(1|\infty). A complete solution to the problem is presented, in which the Fock spaces have basis vectors labelled by certain infinite but stable Gelfand-Zetlin patterns, and the transformation of the basis is given explicitly. We also present expressions for the character of the Fock space representations.

[ { "created": "Fri, 25 Jan 2008 10:43:12 GMT", "version": "v1" } ]

2009-08-24

[ [ "Stoilova", "N. I.", "" ], [ "Van der Jeugt", "J.", "" ] ]

The goal of this paper is to give an explicit construction of the Fock spaces of the parafermion and the paraboson algebra, for an infinite set of generators. This is equivalent to constructing certain unitary irreducible lowest weight representations of the (infinite rank) Lie algebra so(\infty) and of the Lie superalgebra osp(1|\infty). A complete solution to the problem is presented, in which the Fock spaces have basis vectors labelled by certain infinite but stable Gelfand-Zetlin patterns, and the transformation of the basis is given explicitly. We also present expressions for the character of the Fock space representations.

7.80179

7.715822

8.552654

6.776473

7.495551

7.73488

7.124737

7.849436

7.28003

9.056985

7.365384

7.156782

7.81333

7.374329

7.12568

7.331694

7.259614

7.292361

7.206702

8.022527

7.223314

1810.01847

Sasha Haco

Sasha Haco, Stephen W. Hawking, Malcolm J. Perry and Andrew Strominger

Black Hole Entropy and Soft Hair

Accepted for publication by JHEP on 05/12/18

null

10.1007/JHEP12(2018)098

null

hep-th

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

A set of infinitesimal ${\rm Virasoro_{\,L}}\otimes{\rm Virasoro_{\,R}}$ diffeomorphisms are presented which act non-trivially on the horizon of a generic Kerr black hole with spin J. The covariant phase space formalism provides a formula for the Virasoro charges as surface integrals on the horizon. Integrability and associativity of the charge algebra are shown to require the inclusion of `Wald-Zoupas' counterterms. A counterterm satisfying the known consistency requirement is constructed and yields central charges $c_L=c_R=12J$. Assuming the existence of a quantum Hilbert space on which these charges generate the symmetries, as well as the applicability of the Cardy formula, the central charges reproduce the macroscopic area-entropy law for generic Kerr black holes.

[ { "created": "Wed, 3 Oct 2018 17:16:36 GMT", "version": "v1" }, { "created": "Tue, 9 Oct 2018 10:07:22 GMT", "version": "v2" }, { "created": "Tue, 16 Oct 2018 14:13:45 GMT", "version": "v3" }, { "created": "Thu, 13 Dec 2018 12:07:17 GMT", "version": "v4" } ]

2019-01-30

[ [ "Haco", "Sasha", "" ], [ "Hawking", "Stephen W.", "" ], [ "Perry", "Malcolm J.", "" ], [ "Strominger", "Andrew", "" ] ]

A set of infinitesimal ${\rm Virasoro_{\,L}}\otimes{\rm Virasoro_{\,R}}$ diffeomorphisms are presented which act non-trivially on the horizon of a generic Kerr black hole with spin J. The covariant phase space formalism provides a formula for the Virasoro charges as surface integrals on the horizon. Integrability and associativity of the charge algebra are shown to require the inclusion of `Wald-Zoupas' counterterms. A counterterm satisfying the known consistency requirement is constructed and yields central charges $c_L=c_R=12J$. Assuming the existence of a quantum Hilbert space on which these charges generate the symmetries, as well as the applicability of the Cardy formula, the central charges reproduce the macroscopic area-entropy law for generic Kerr black holes.

7.481291

6.906567

8.314627

6.844759

7.516674

7.239578

7.175864

6.856106

7.190251

9.646858

6.864921

6.797657

7.275922

7.094675

7.400315

6.952637

7.014959

7.155068

7.433324

7.799456

7.063859

hep-th/0504196

Hanno Klemm

H. Klemm

BPS branes in discrete torsion orbifolds

20 pages, LaTeX

JHEP 0507 (2005) 010

10.1088/1126-6708/2005/07/010

null

hep-th

null

We investigate D-branes in a Z_3xZ_3 orbifold with discrete torsion. For this class of orbifolds the only known objects which couple to twisted RR potentials have been non-BPS branes. By using more general gluing conditions we construct here a D-brane which is BPS and couples to RR potentials in the twisted and in the untwisted sectors.

[ { "created": "Mon, 25 Apr 2005 07:56:32 GMT", "version": "v1" } ]

2009-11-11

[ [ "Klemm", "H.", "" ] ]

We investigate D-branes in a Z_3xZ_3 orbifold with discrete torsion. For this class of orbifolds the only known objects which couple to twisted RR potentials have been non-BPS branes. By using more general gluing conditions we construct here a D-brane which is BPS and couples to RR potentials in the twisted and in the untwisted sectors.

8.60677

7.091622

10.572637

7.321213

7.941831

6.964567

7.560266

7.189014

7.688277

10.354966

6.941674

7.955989

9.117938

7.966826

8.135798

7.9688

7.40424

8.018683

7.833601

9.011402

7.837026