LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/9509037

Sergei Lukyanov

S. Lukyanov

A note on the deformed Virasoro algebra

6 pages, harvmac.tex

Phys.Lett. B367 (1996) 121-125

10.1016/0370-2693(95)01410-1

CLNS-95/1360

hep-th

null

A current of the deformed Virasoro algebra is identified with the Zamolodchikov-Faddeev operator for the basic scalar particle in the XYZ model.

[ { "created": "Thu, 7 Sep 1995 18:52:59 GMT", "version": "v1" } ]

2009-10-28

[ [ "Lukyanov", "S.", "" ] ]

A current of the deformed Virasoro algebra is identified with the Zamolodchikov-Faddeev operator for the basic scalar particle in the XYZ model.

23.648998

14.710191

21.448301

16.041164

15.535975

13.868504

15.738256

17.284611

14.706441

22.80488

17.776875

15.132469

19.045258

15.307134

13.378277

14.24136

13.677019

13.70312

16.217804

16.206305

13.368921

hep-th/0409274

Danielsson

Ulf H. Danielsson

Lectures on string theory and cosmology

Lectures given in January 2004 at the RTN Barcelona String School, 50 pages, 9 figures

Class.Quant.Grav. 22 (2005) S1-S40

10.1088/0264-9381/22/8/001

UUITP-19/04

hep-th

null

In these lectures I review recent attempts to apply string theory to cosmology, including string cosmology and various models of brane cosmology. In addition, the review includes an introduction to inflation as well as a discussion of transplanckian signatures. I also provide a critical discussion of the possible role of holography. The material is based on lectures given in January 2004 at the RTN String School in Barcelona, but also contain some additional material.

[ { "created": "Mon, 27 Sep 2004 19:20:06 GMT", "version": "v1" } ]

2009-11-10

[ [ "Danielsson", "Ulf H.", "" ] ]

In these lectures I review recent attempts to apply string theory to cosmology, including string cosmology and various models of brane cosmology. In addition, the review includes an introduction to inflation as well as a discussion of transplanckian signatures. I also provide a critical discussion of the possible role of holography. The material is based on lectures given in January 2004 at the RTN String School in Barcelona, but also contain some additional material.

10.492913

9.119564

9.517245

8.971413

9.019639

9.482795

9.746705

9.873148

9.218965

10.182323

8.950285

9.155437

9.380424

9.113314

9.03406

9.40519

8.894549

9.03299

9.138719

9.204315

8.788346

2012.03514

Kotaro Tamaoka

Takanori Anegawa, Norihiro Iizuka, Kotaro Tamaoka, Tomonori Ugajin

Wormholes and holographic decoherence

34 pages, 11 figures. v2: numerical plots of section 3.1 corrected. references added

null

10.1007/JHEP03(2021)214

OU-HET-1081, YITP-20-158

hep-th gr-qc

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

We study a class of decoherence process which admits a 3 dimensional holographic bulk. Starting from a thermo-field double dual to a wormhole, we prepare another thermo-field double which plays the role of environment. By allowing the energy flow between the original and environment thermo-field double, the entanglement of the original thermo-field double eventually decoheres. We model this decoherence by four-boundary wormhole geometries, and study the time-evolution of the moduli parameters to see the change of the entanglement pattern among subsystems. A notable feature of this holographic decoherence processes is that at the end point of the processes, the correlations of the original thermo-field double are lost completely both classically and also quantum mechanically. We also discuss distinguishability between thermo-field double state and thermo mixed double state, which contains only classical correlations, and construct a code subspace toy model for that.

[ { "created": "Mon, 7 Dec 2020 08:09:01 GMT", "version": "v1" }, { "created": "Tue, 16 Mar 2021 12:45:58 GMT", "version": "v2" } ]

2021-04-07

[ [ "Anegawa", "Takanori", "" ], [ "Iizuka", "Norihiro", "" ], [ "Tamaoka", "Kotaro", "" ], [ "Ugajin", "Tomonori", "" ] ]

We study a class of decoherence process which admits a 3 dimensional holographic bulk. Starting from a thermo-field double dual to a wormhole, we prepare another thermo-field double which plays the role of environment. By allowing the energy flow between the original and environment thermo-field double, the entanglement of the original thermo-field double eventually decoheres. We model this decoherence by four-boundary wormhole geometries, and study the time-evolution of the moduli parameters to see the change of the entanglement pattern among subsystems. A notable feature of this holographic decoherence processes is that at the end point of the processes, the correlations of the original thermo-field double are lost completely both classically and also quantum mechanically. We also discuss distinguishability between thermo-field double state and thermo mixed double state, which contains only classical correlations, and construct a code subspace toy model for that.

14.322126

12.941711

15.605027

12.745049

13.059872

12.777732

13.660157

12.335655

12.783852

16.984459

12.145248

13.004128

14.674726

13.104855

13.014367

12.877581

12.390614

12.998106

12.928851

14.654793

12.777619

hep-th/9701093

Michael Gutperle

Michael B.Green (DAMTP, Cambridge, U.K.) and Michael Gutperle (DAMTP, Cambridge, U.K)

Effects of D-instantons

31 pages, 6 figures, Latex, Reference added, corrected coefficients in expansion of generalized Eisenstein series in equation 66 now agree with hep-th/9704145

Nucl.Phys. B498 (1997) 195-227

10.1016/S0550-3213(97)00269-1

DAMTP-96-104

hep-th

null

Scattering of fundamental states of type IIB supergravity and superstring theory is discussed at low orders in perturbation theory in the background of a D-instanton. The integration over fermionic zero modes in both the low energy supergravity and in the string theory leads to explicit nonperturbative terms in the effective action. These include a single instanton correction to the known tree-level and one-loop $R^4$ interactions. The `spectrum' of multiply-charged D-instantons is deduced by T-duality in nine dimensions from multiply-wound world-lines of marginally-bound D-particles. This, and other clues, lead to a conjectured SL(2,Z) completion of the $R^4$ terms which suggests that they are not renormalized by perturbative corrections in the zero-instanton sector beyond one loop. The string theory unit-charged D-instanton gives rise to point-like effects in fixed-angle scattering, raising unresolved issues concerning distance scales in superstring theory.

[ { "created": "Mon, 20 Jan 1997 00:54:37 GMT", "version": "v1" }, { "created": "Tue, 28 Jan 1997 19:07:06 GMT", "version": "v2" }, { "created": "Mon, 7 Jul 1997 19:41:06 GMT", "version": "v3" } ]

2009-10-30

[ [ "Green", "Michael B.", "", "DAMTP, Cambridge, U.K." ], [ "Gutperle", "Michael", "", "DAMTP,\n Cambridge, U.K" ] ]

Scattering of fundamental states of type IIB supergravity and superstring theory is discussed at low orders in perturbation theory in the background of a D-instanton. The integration over fermionic zero modes in both the low energy supergravity and in the string theory leads to explicit nonperturbative terms in the effective action. These include a single instanton correction to the known tree-level and one-loop $R^4$ interactions. The `spectrum' of multiply-charged D-instantons is deduced by T-duality in nine dimensions from multiply-wound world-lines of marginally-bound D-particles. This, and other clues, lead to a conjectured SL(2,Z) completion of the $R^4$ terms which suggests that they are not renormalized by perturbative corrections in the zero-instanton sector beyond one loop. The string theory unit-charged D-instanton gives rise to point-like effects in fixed-angle scattering, raising unresolved issues concerning distance scales in superstring theory.

12.040989

11.668951

13.840995

11.675986

12.362079

12.260786

11.597737

10.825205

11.404681

14.819354

11.331034

11.489305

11.977988

11.520201

11.423737

11.551607

11.004405

11.336676

11.415119

11.650985

11.362258

1508.03190

Sergei Kuzenko

Sergei M. Kuzenko

Complex linear Goldstino superfield and de Sitter supergravity

8 pages; V2: typos corrected, comments and reference added; V3: title changed, references and new section added; V4: published version

null

hep-th

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

The complex linear Goldstino superfield was proposed in arXiv:1102.3042 for the cases of global and local four-dimensional N=1 supersymmetry. Here we make use of this superfield to construct a supergravity action which is invariant under spontaneously broken local N=1 supersymmetry and has a positive cosmological constant for certain values of the parameters.

[ { "created": "Thu, 13 Aug 2015 12:14:01 GMT", "version": "v1" }, { "created": "Wed, 26 Aug 2015 08:43:11 GMT", "version": "v2" }, { "created": "Fri, 4 Sep 2015 10:25:12 GMT", "version": "v3" }, { "created": "Mon, 5 Oct 2015 02:35:05 GMT", "version": "v4" } ]

2015-10-06

[ [ "Kuzenko", "Sergei M.", "" ] ]

The complex linear Goldstino superfield was proposed in arXiv:1102.3042 for the cases of global and local four-dimensional N=1 supersymmetry. Here we make use of this superfield to construct a supergravity action which is invariant under spontaneously broken local N=1 supersymmetry and has a positive cosmological constant for certain values of the parameters.

8.009594

5.750101

8.700742

6.641661

7.147037

5.438286

6.206216

6.074894

6.161362

8.063305

6.606552

6.820569

7.899208

7.367488

7.305482

7.103119

6.972173

7.011468

7.209096

8.139357

6.973416

2102.08396

Zhewei Yin

Laurentiu Rodina, Zhewei Yin

Exploring the Landscape for Soft Theorems of Nonlinear Sigma Models

46 pages + appendices, 15 figures; matched to the published version in v2

null

10.1007/JHEP08(2021)096

UUITP-10/21

hep-th hep-ph

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

We generalize soft theorems of the nonlinear sigma model beyond the $\mathcal{O} (p^2)$ amplitudes and the coset of $\text{SU} (N) \times \text{SU} (N) / \text{SU} (N) $. We first discuss the universal flavor ordering of the amplitudes for the Nambu-Goldstone bosons, so that we can reinterpret the known $\mathcal{O} (p^2)$ single soft theorem for $\text{SU} (N) \times \text{SU} (N) / \text{SU} (N) $ in the context of a general symmetry group representation. We then investigate the special case of the fundamental representation of $\text{SO} (N)$, where a special flavor ordering of the "pair basis" is available. We provide novel amplitude relations and a Cachazo-He-Yuan formula for such a basis, and derive the corresponding single soft theorem. Next, we extend the single soft theorem for a general group representation to $\mathcal{O} (p^4)$, where for at least two specific choices of the $\mathcal{O} (p^4)$ operators, the leading non-vanishing pieces can be interpreted as new extended theory amplitudes involving bi-adjoint scalars, and the corresponding soft factors are the same as at $\mathcal{O} (p^2)$. Finally, we compute the general formula for the double soft theorem, valid to all derivative orders, where the leading part in the soft momenta is fixed by the $\mathcal{O}(p^2)$ Lagrangian, while any possible corrections to the subleading part are determined by the $\mathcal{O}(p^4)$ Lagrangian alone. Higher order terms in the derivative expansion do not contribute any new corrections to the double soft theorem.

[ { "created": "Tue, 16 Feb 2021 19:00:01 GMT", "version": "v1" }, { "created": "Wed, 18 Aug 2021 19:48:11 GMT", "version": "v2" } ]

2021-09-15

[ [ "Rodina", "Laurentiu", "" ], [ "Yin", "Zhewei", "" ] ]

We generalize soft theorems of the nonlinear sigma model beyond the $\mathcal{O} (p^2)$ amplitudes and the coset of $\text{SU} (N) \times \text{SU} (N) / \text{SU} (N) $. We first discuss the universal flavor ordering of the amplitudes for the Nambu-Goldstone bosons, so that we can reinterpret the known $\mathcal{O} (p^2)$ single soft theorem for $\text{SU} (N) \times \text{SU} (N) / \text{SU} (N) $ in the context of a general symmetry group representation. We then investigate the special case of the fundamental representation of $\text{SO} (N)$, where a special flavor ordering of the "pair basis" is available. We provide novel amplitude relations and a Cachazo-He-Yuan formula for such a basis, and derive the corresponding single soft theorem. Next, we extend the single soft theorem for a general group representation to $\mathcal{O} (p^4)$, where for at least two specific choices of the $\mathcal{O} (p^4)$ operators, the leading non-vanishing pieces can be interpreted as new extended theory amplitudes involving bi-adjoint scalars, and the corresponding soft factors are the same as at $\mathcal{O} (p^2)$. Finally, we compute the general formula for the double soft theorem, valid to all derivative orders, where the leading part in the soft momenta is fixed by the $\mathcal{O}(p^2)$ Lagrangian, while any possible corrections to the subleading part are determined by the $\mathcal{O}(p^4)$ Lagrangian alone. Higher order terms in the derivative expansion do not contribute any new corrections to the double soft theorem.

5.828254

5.83162

6.028892

5.546017

5.90971

5.716616

5.749145

5.795554

5.498989

6.478655

5.443436

5.603849

5.6728

5.605422

5.512485

5.643013

5.682779

5.692963

5.558348

5.772797

5.587284

1211.7021

Claire Zukowski

Raphael Bousso and Claire Zukowski

Multi-Vacuum Initial Conditions and the Arrow of Time

14 pages, 1 figure; v2: expanded analysis of dominant eigenvector initial conditions; v3: final version for PRD, minor edits

null

10.1103/PhysRevD.87.103504

null

hep-th astro-ph.CO gr-qc

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

Depending on the type and arrangement of metastable vacua in the theory, initial conditions in a de Sitter vacuum with arbitrarily large entropy can be compatible with the observed arrow of time, if the causal patch or related measures are used to regulate divergences. An important condition, however, is that the initial vacuum cannot produce observers from rare fluctuations (Boltzmann brains). Here we consider more general initial conditions where multiple vacua have nonzero initial probability. We examine whether the prediction of an arrow of time is destroyed by a small initial admixture of vacua that can produce Boltzmann brains. We identify general criteria and apply them to two nontrivial examples of such initial probability distributions. The Hartle-Hawking state is superexponentially dominated by the vacuum with smallest positive cosmological constant, so one might expect that other initial vacua can be neglected; but in fact, their inclusion drastically narrows the range of theory parameters for which an arrow of time is predicted. The dominant eigenvector of the global rate equation of eternal inflation is dominated by the longest-lived metastable vacuum. If an arrow of time emerges in the single-initial-vacuum approximation, then we find that this conclusion survives the admixture of other initial vacua. By global-local measure duality, this result amounts to a successful consistency test of certain global cutoffs, including light-cone time and scale-factor time.

[ { "created": "Thu, 29 Nov 2012 19:02:47 GMT", "version": "v1" }, { "created": "Thu, 20 Dec 2012 00:14:54 GMT", "version": "v2" }, { "created": "Tue, 17 Dec 2013 01:44:22 GMT", "version": "v3" } ]

2013-12-18

[ [ "Bousso", "Raphael", "" ], [ "Zukowski", "Claire", "" ] ]

Depending on the type and arrangement of metastable vacua in the theory, initial conditions in a de Sitter vacuum with arbitrarily large entropy can be compatible with the observed arrow of time, if the causal patch or related measures are used to regulate divergences. An important condition, however, is that the initial vacuum cannot produce observers from rare fluctuations (Boltzmann brains). Here we consider more general initial conditions where multiple vacua have nonzero initial probability. We examine whether the prediction of an arrow of time is destroyed by a small initial admixture of vacua that can produce Boltzmann brains. We identify general criteria and apply them to two nontrivial examples of such initial probability distributions. The Hartle-Hawking state is superexponentially dominated by the vacuum with smallest positive cosmological constant, so one might expect that other initial vacua can be neglected; but in fact, their inclusion drastically narrows the range of theory parameters for which an arrow of time is predicted. The dominant eigenvector of the global rate equation of eternal inflation is dominated by the longest-lived metastable vacuum. If an arrow of time emerges in the single-initial-vacuum approximation, then we find that this conclusion survives the admixture of other initial vacua. By global-local measure duality, this result amounts to a successful consistency test of certain global cutoffs, including light-cone time and scale-factor time.

12.552689

14.224864

14.095279

13.52245

13.813625

14.006278

13.896034

13.04593

12.874391

15.206918

12.458585

11.763036

12.113524

12.086784

12.385297

12.548532

12.158567

12.023945

12.129303

12.645043

12.497349

0706.4307

Steven Gubser

Steven S. Gubser, Silviu S. Pufu, and Amos Yarom

Sonic booms and diffusion wakes generated by a heavy quark in thermal AdS/CFT

4 pages, 1 figure, revtex4

Phys.Rev.Lett.100:012301,2008

10.1103/PhysRevLett.100.012301

PUPT-2239, LMU-ASC 42/07

hep-th hep-ph nucl-th

null

We evaluate the Poynting vector generated by a heavy quark moving through a thermal state of N=4 gauge theory using AdS/CFT. A significant diffusion wake is observed as well as a Mach cone. We discuss the ratio of the energy going into sound modes to the energy coming in from the wake.

[ { "created": "Thu, 28 Jun 2007 19:46:08 GMT", "version": "v1" } ]

2008-11-26

[ [ "Gubser", "Steven S.", "" ], [ "Pufu", "Silviu S.", "" ], [ "Yarom", "Amos", "" ] ]

We evaluate the Poynting vector generated by a heavy quark moving through a thermal state of N=4 gauge theory using AdS/CFT. A significant diffusion wake is observed as well as a Mach cone. We discuss the ratio of the energy going into sound modes to the energy coming in from the wake.

16.027803

11.295074

13.772437

10.709998

12.605584

13.034753

10.567355

11.78442

11.37892

13.298843

11.158982

12.025605

14.700759

12.813478

12.793935

11.785712

12.100627

12.824428

12.16541

15.436588

12.052472

hep-th/0303179

Vladimir Dobrev

V.K. Dobrev

New Generalized Verma Modules and Multilinear Intertwining Differential Operators

30 pages, plain TEX with harvmac; corrected misprints

J.Geom.Phys. 25 (1998) 1-28

10.1016/S0393-0440(97)00020-X

null

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

null

The present paper contains two interrelated developments. First, are proposed new generalized Verma modules. They are called k-Verma modules, k\in N, and coincide with the usual Verma modules for k=1. As a vector space a k-Verma module is isomorphic to the symmetric tensor product of k copies of the universal enveloping algebra U(g^-), where g^- is the subalgebra of lowering generators in the standard triangular decomposition of a simple Lie algebra g = g^+ \oplus h \oplus g^- . The second development is the proposal of a procedure for the construction of multilinear intertwining differential operators for semisimple Lie groups G . This procedure uses k-Verma modules and coincides for k=1 with a procedure for the construction of linear intertwining differential operators. For all k central role is played by the singular vectors of the k-Verma modules. Explicit formulae for series of such singular vectors are given. Using these are given explicitly many new examples of multilinear intertwining differential operators. In particular, for G = SL(2,R) are given explicitly all bilinear intertwining differential operators. Using the latter, as an application are constructed (n/2)-differentials for all n\in 2N, the ordinary Schwarzian being the case n=4. As another application, in a Note Added we propose a new hierarchy of nonlinear equations, the lowest member being the KdV equation.

[ { "created": "Thu, 20 Mar 2003 13:48:34 GMT", "version": "v1" }, { "created": "Sat, 18 Dec 2004 16:50:52 GMT", "version": "v2" } ]

2015-06-26

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

The present paper contains two interrelated developments. First, are proposed new generalized Verma modules. They are called k-Verma modules, k\in N, and coincide with the usual Verma modules for k=1. As a vector space a k-Verma module is isomorphic to the symmetric tensor product of k copies of the universal enveloping algebra U(g^-), where g^- is the subalgebra of lowering generators in the standard triangular decomposition of a simple Lie algebra g = g^+ \oplus h \oplus g^- . The second development is the proposal of a procedure for the construction of multilinear intertwining differential operators for semisimple Lie groups G . This procedure uses k-Verma modules and coincides for k=1 with a procedure for the construction of linear intertwining differential operators. For all k central role is played by the singular vectors of the k-Verma modules. Explicit formulae for series of such singular vectors are given. Using these are given explicitly many new examples of multilinear intertwining differential operators. In particular, for G = SL(2,R) are given explicitly all bilinear intertwining differential operators. Using the latter, as an application are constructed (n/2)-differentials for all n\in 2N, the ordinary Schwarzian being the case n=4. As another application, in a Note Added we propose a new hierarchy of nonlinear equations, the lowest member being the KdV equation.

5.968676

6.620852

6.993492

6.454823

6.81841

6.627315

6.952465

6.656224

6.53987

7.344455

6.434152

6.002046

6.22599

6.140929

6.035254

5.95563

6.006881

5.944687

6.083845

6.247973

5.903577

1703.00349

Merab Gogberashvili Prof

Merab Gogberashvili

Conformal (2+4)-Braneworld

The version accepted by Int. J. Mod. Phys. D

Int. J. Mod. Phys. D 26 (2017) 1750125

10.1142/S0218271817501255

null

hep-th gr-qc

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

It is considered the 6D brane model where matter is trapped on the surface of a (2+4)-hyperboloid, as is suggested by the geometrical structure behind the 4D conformal group. The effective dimension of the bulk space-time for matter fields is five, with the extra space-like and time-like domains. Using the embedding theory the presence of the familiar factorizable 5D brane metrics in the both domains is shown. These metrics with exponential warp factors are able to provide with the additional reduction of the effective space-time dimensions down to four. It is demonstrated that the extra (1+1)-space is not simply connected and there is a gap in the range of the extra coordinates. This can explain stability of the model in the domain with the time-like effective fifth dimension and the appearance of the cosmological constant due to the tachyon condensation. It is found that the model exhibits orbifold symmetry and thus is free from the fermion chirality problem.

[ { "created": "Tue, 28 Feb 2017 16:54:00 GMT", "version": "v1" }, { "created": "Wed, 26 Apr 2017 06:58:41 GMT", "version": "v2" } ]

2017-04-27

[ [ "Gogberashvili", "Merab", "" ] ]

It is considered the 6D brane model where matter is trapped on the surface of a (2+4)-hyperboloid, as is suggested by the geometrical structure behind the 4D conformal group. The effective dimension of the bulk space-time for matter fields is five, with the extra space-like and time-like domains. Using the embedding theory the presence of the familiar factorizable 5D brane metrics in the both domains is shown. These metrics with exponential warp factors are able to provide with the additional reduction of the effective space-time dimensions down to four. It is demonstrated that the extra (1+1)-space is not simply connected and there is a gap in the range of the extra coordinates. This can explain stability of the model in the domain with the time-like effective fifth dimension and the appearance of the cosmological constant due to the tachyon condensation. It is found that the model exhibits orbifold symmetry and thus is free from the fermion chirality problem.

14.550817

12.301537

12.738889

11.824373

13.301011

12.979293

13.56411

12.461349

12.246017

14.123044

12.206314

12.127988

12.474055

12.122439

11.81667

12.218252

12.277208

11.751111

11.74412

11.995509

12.0415

hep-th/9610175

Ian Lawrie

I.D. Lawrie and D.B. McKernan

Nonequilibrium perturbation theory for complex scalar fields

15 pages using RevTeX; 2 figures in 1 Postscript file; Submitted to Phys. Rev. D

Phys.Rev. D55 (1997) 2290-2297

10.1103/PhysRevD.55.2290

null

hep-th gr-qc hep-ph

null

Real-time perturbation theory is formulated for complex scalar fields away from thermal equilibrium in such a way that dissipative effects arising from the absorptive parts of loop diagrams are approximately resummed into the unperturbed propagators. Low order calculations of physical quantities then involve quasiparticle occupation numbers which evolve with the changing state of the field system, in contrast to standard perturbation theory, where these occupation numbers are frozen at their initial values. The evolution equation of the occupation numbers can be cast approximately in the form of a Boltzmann equation. Particular attention is given to the effects of a non-zero chemical potential, and it is found that the thermal masses and decay widths of quasiparticle modes are different for particles and antiparticles.

[ { "created": "Wed, 23 Oct 1996 11:43:47 GMT", "version": "v1" } ]

2009-10-30

[ [ "Lawrie", "I. D.", "" ], [ "McKernan", "D. B.", "" ] ]

Real-time perturbation theory is formulated for complex scalar fields away from thermal equilibrium in such a way that dissipative effects arising from the absorptive parts of loop diagrams are approximately resummed into the unperturbed propagators. Low order calculations of physical quantities then involve quasiparticle occupation numbers which evolve with the changing state of the field system, in contrast to standard perturbation theory, where these occupation numbers are frozen at their initial values. The evolution equation of the occupation numbers can be cast approximately in the form of a Boltzmann equation. Particular attention is given to the effects of a non-zero chemical potential, and it is found that the thermal masses and decay widths of quasiparticle modes are different for particles and antiparticles.

8.400043

8.85805

8.250608

7.927162

8.512333

8.501277

8.229514

8.589802

7.809821

8.982163

8.070915

7.82303

7.775347

8.015705

7.994827

7.844914

7.922843

7.945643

7.682

7.960312

8.089526

hep-th/9903025

Yuji Okawa

Yuji Okawa (University of Tokyo, Komaba)

Higher-derivative terms in one-loop effective action for general trajectories of D-particles in Matrix theory

18 pages, LaTeX2e, no figures, v2: a coefficient in (3.32) and the corresponding one in (3.33) corrected and a minor change

Nucl.Phys. B552 (1999) 447-460

10.1016/S0550-3213(99)00266-7

UT-Komaba/99-5

hep-th

null

The one-loop effective action for general trajectories of D-particles in Matrix theory is calculated in the expansion with respect to the number of derivatives up to six, which gives the equation of motion consistently. The result shows that the terms with six derivatives vanish for straight-line trajectories, however, they do not vanish in general. This provides a concrete example that non-renormalization of twelve-fermion terms does not necessarily imply that of six-derivative terms.

[ { "created": "Tue, 2 Mar 1999 12:29:40 GMT", "version": "v1" }, { "created": "Mon, 22 Mar 1999 05:31:50 GMT", "version": "v2" } ]

2009-10-31

[ [ "Okawa", "Yuji", "", "University of Tokyo, Komaba" ] ]

The one-loop effective action for general trajectories of D-particles in Matrix theory is calculated in the expansion with respect to the number of derivatives up to six, which gives the equation of motion consistently. The result shows that the terms with six derivatives vanish for straight-line trajectories, however, they do not vanish in general. This provides a concrete example that non-renormalization of twelve-fermion terms does not necessarily imply that of six-derivative terms.

9.924385

8.108865

10.033178

8.351081

9.138498

9.684114

8.978012

8.886744

8.333513

10.711216

8.37131

9.103569

9.400967

9.048712

8.963336

9.146686

9.072753

8.978267

8.852991

9.777781

8.640812

1112.4662

Sergey Solodukhin N.

Sergey N. Solodukhin

Entropy of random entangling surfaces

18 pages; new references added, Invited Contribution to an IOP special volume of Journal of Physics A in honor of Stuart Dowker's 75th birthday

null

10.1088/1751-8113/45/37/374024

null

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

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

We consider the situation when a globally defined four-dimensional field system is separated on two entangled sub-systems by a dynamical (random) two-dimensional surface. The reduced density matrix averaged over ensemble of random surfaces of fixed area and the corresponding average entropy are introduced. The average entanglement entropy is analyzed for a generic conformal field theory in four dimensions. Two important particular cases are considered. In the first, both the intrinsic metric on the entangling surface and the spacetime metric are fluctuating. An important example of this type is when the entangling surface is a black hole horizon, the fluctuations of which cause necessarily the fluctuations in the spacetime geometry. In the second case, the spacetime is considered to be fixed. The detail analysis is carried out for the random entangling surfaces embedded in flat Minkowski spacetime. In all cases the problem reduces to an effectively two-dimensional problem of random surfaces which can be treated by means of the well-known conformal methods. Focusing on the logarithmic terms in the entropy we predict the appearance of a new $\ln\ln(A)$ term.

[ { "created": "Tue, 20 Dec 2011 11:46:01 GMT", "version": "v1" }, { "created": "Mon, 19 Mar 2012 13:41:30 GMT", "version": "v2" } ]

2015-06-03

[ [ "Solodukhin", "Sergey N.", "" ] ]

We consider the situation when a globally defined four-dimensional field system is separated on two entangled sub-systems by a dynamical (random) two-dimensional surface. The reduced density matrix averaged over ensemble of random surfaces of fixed area and the corresponding average entropy are introduced. The average entanglement entropy is analyzed for a generic conformal field theory in four dimensions. Two important particular cases are considered. In the first, both the intrinsic metric on the entangling surface and the spacetime metric are fluctuating. An important example of this type is when the entangling surface is a black hole horizon, the fluctuations of which cause necessarily the fluctuations in the spacetime geometry. In the second case, the spacetime is considered to be fixed. The detail analysis is carried out for the random entangling surfaces embedded in flat Minkowski spacetime. In all cases the problem reduces to an effectively two-dimensional problem of random surfaces which can be treated by means of the well-known conformal methods. Focusing on the logarithmic terms in the entropy we predict the appearance of a new $\ln\ln(A)$ term.

9.56596

8.753007

9.199832

8.626903

9.699378

9.491829

8.904097

8.664612

9.291726

9.990201

8.860667

8.807198

9.023198

8.794262

8.782043

8.881843

8.707934

8.757874

8.85854

9.23339

8.766554

2110.04853

Cristhiam Lopez-Arcos

Naser Ahmadiniaz, Filippo Maria Balli, Olindo Corradini, Cristhiam Lopez-Arcos, Alexander Quintero Velez, Christian Schubert

Manifest colour-kinematics duality and double-copy in the string-based formalism

22 pages, 1 figure

null

10.1016/j.nuclphysb.2022.115690

null

hep-th gr-qc

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

The relation for the gravity polarisation tensor as the tensor product of two gluon polarisation vectors has been well-known for a long time, but a version of this relation for multi-particle fields is presently still not known. Here we show that in order for this to happen we first have to ensure that the multi-particle polarisations satisfy colour-kinematics duality. In previous work it has been show that this arises naturally from the Bern-Kosower formalism for one-loop gluon amplitudes, and here we show that the tensor product for multi-particle fields arise naturally in the Bern-Dunbar-Shimada formalism for one-loop gravity amplitudes. This allows us to formulate a new prescription for double-copy gravity Berends-Giele currents, and to obtain both the colour-dressed Yang-Mills Berends-Giele currents in the Bern-Carrasco-Johansson gauge and the gravitational Berends-Giele currents explicitly. An attractive feature of our formalism is that it never becomes necessary to determine gauge transformation terms. Our double-copy prescription can also be applied to other cases, and to make this point we derive the double-copy perturbiners for $\alpha'$-deformed gravity and the bi-adjoint scalar model.

[ { "created": "Sun, 10 Oct 2021 17:02:50 GMT", "version": "v1" } ]

2022-03-02

[ [ "Ahmadiniaz", "Naser", "" ], [ "Balli", "Filippo Maria", "" ], [ "Corradini", "Olindo", "" ], [ "Lopez-Arcos", "Cristhiam", "" ], [ "Velez", "Alexander Quintero", "" ], [ "Schubert", "Christian", "" ] ]

The relation for the gravity polarisation tensor as the tensor product of two gluon polarisation vectors has been well-known for a long time, but a version of this relation for multi-particle fields is presently still not known. Here we show that in order for this to happen we first have to ensure that the multi-particle polarisations satisfy colour-kinematics duality. In previous work it has been show that this arises naturally from the Bern-Kosower formalism for one-loop gluon amplitudes, and here we show that the tensor product for multi-particle fields arise naturally in the Bern-Dunbar-Shimada formalism for one-loop gravity amplitudes. This allows us to formulate a new prescription for double-copy gravity Berends-Giele currents, and to obtain both the colour-dressed Yang-Mills Berends-Giele currents in the Bern-Carrasco-Johansson gauge and the gravitational Berends-Giele currents explicitly. An attractive feature of our formalism is that it never becomes necessary to determine gauge transformation terms. Our double-copy prescription can also be applied to other cases, and to make this point we derive the double-copy perturbiners for $\alpha'$-deformed gravity and the bi-adjoint scalar model.

9.890187

9.950365

10.845432

9.097151

10.124344

10.008188

9.762941

9.386727

9.09065

11.845043

9.662166

9.481439

10.19416

9.31187

9.718125

9.707714

9.368652

9.394059

9.37357

9.992962

9.312535

hep-th/0703243

Romuald A. Janik

Michal P. Heller and Romuald A. Janik

Viscous hydrodynamics relaxation time from AdS/CFT

10 pages, Mathematica script included in the source; v2: typo in (28) fixed, statement about electric/magnetic modes corrected

Phys.Rev.D76:025027,2007

10.1103/PhysRevD.76.025027

null

hep-th gr-qc hep-ph nucl-th

null

We consider an expanding boost-invariant plasma at strong coupling using the AdS/CFT correspondence for N=4 SYM. We determine the relaxation time in second order viscous hydrodynamics and find that it is around thirty times shorter than weak coupling expectations. We find that the nonsingularity of the dual geometry in the string frame necessitates turning on the dilaton which leads to a nonvanishing expectation value for tr F^2 behaving like tau^(-10/3).

[ { "created": "Tue, 27 Mar 2007 14:45:18 GMT", "version": "v1" }, { "created": "Fri, 12 Oct 2007 13:34:28 GMT", "version": "v2" } ]

2008-11-26

[ [ "Heller", "Michal P.", "" ], [ "Janik", "Romuald A.", "" ] ]

We consider an expanding boost-invariant plasma at strong coupling using the AdS/CFT correspondence for N=4 SYM. We determine the relaxation time in second order viscous hydrodynamics and find that it is around thirty times shorter than weak coupling expectations. We find that the nonsingularity of the dual geometry in the string frame necessitates turning on the dilaton which leads to a nonvanishing expectation value for tr F^2 behaving like tau^(-10/3).

12.679359

10.773255

13.04167

11.010846

11.904238

12.928627

10.580403

12.155084

10.975781

14.893258

11.881035

12.044265

12.608683

12.60797

12.953705

13.306625

12.446808

12.134183

12.788716

13.315705

12.192301

hep-th/0101069

Jianxin Lu

R.-G. Cai (Osaka Univ.), J. X. Lu (Univ. of Michigan), N. Ohta (Osaka Univ.), S. Roy (Saha Institute) and Y.-S. Wu (Univ. of Utah)

OM Theory and V-duality

17 pages, typos corrected and references added

JHEP 0102 (2001) 024

10.1088/1126-6708/2001/02/024

OU-HET 363, MCTP-00-17

hep-th

null

We show that the (M5, M2, M2$'$, MW) bound state solution of eleven dimensional supergravity recently constructed in hep-th/0009147 is related to the (M5, M2) bound state one by a finite Lorentz boost along a M5-brane direction perpendicular to the M2-brane. Given the (M5, M2) bound state as a defining system for OM theory and the above relation between this system and the (M5, M2, M2', MW) bound state, we test the recently proposed V-duality conjecture in OM theory. Insisting to have a decoupled OM theory, we find that the allowed Lorentz boost has to be infinitesimally small, therefore resulting in a family of OM theories related by Galilean boosts. We argue that such related OM theories are equivalent to each other. In other words, V-duality holds for OM theory as well. Upon compactification on either an electric or a `magnetic' circle (plus T-dualities as well), the V-duality for OM theory gives the known one for either noncommutative open string theories or noncommutative Yang-Mills theories. This further implies that V-duality holds in general for the little m-theory without gravity.

[ { "created": "Thu, 11 Jan 2001 16:18:10 GMT", "version": "v1" }, { "created": "Tue, 23 Jan 2001 16:58:06 GMT", "version": "v2" } ]

2009-11-07

[ [ "Cai", "R. -G.", "", "Osaka Univ." ], [ "Lu", "J. X.", "", "Univ. of Michigan" ], [ "Ohta", "N.", "", "Osaka\n Univ." ], [ "Roy", "S.", "", "Saha Institute" ], [ "Wu", "Y. -S.", "", "Univ. of Utah" ] ]

We show that the (M5, M2, M2$'$, MW) bound state solution of eleven dimensional supergravity recently constructed in hep-th/0009147 is related to the (M5, M2) bound state one by a finite Lorentz boost along a M5-brane direction perpendicular to the M2-brane. Given the (M5, M2) bound state as a defining system for OM theory and the above relation between this system and the (M5, M2, M2', MW) bound state, we test the recently proposed V-duality conjecture in OM theory. Insisting to have a decoupled OM theory, we find that the allowed Lorentz boost has to be infinitesimally small, therefore resulting in a family of OM theories related by Galilean boosts. We argue that such related OM theories are equivalent to each other. In other words, V-duality holds for OM theory as well. Upon compactification on either an electric or a `magnetic' circle (plus T-dualities as well), the V-duality for OM theory gives the known one for either noncommutative open string theories or noncommutative Yang-Mills theories. This further implies that V-duality holds in general for the little m-theory without gravity.

9.097698

8.019817

9.812774

8.034221

9.229626

8.629445

8.408141

8.014083

8.052851

9.936712

8.389699

8.602556

8.930503

8.391372

8.537568

8.706475

8.365056

8.483479

8.392207

8.861501

8.438056

1009.2942

Robert Berman

Robert J. Berman

Kahler-Einstein metrics emerging from free fermions and statistical mechanics

v1: 22 pages v2: 25 pages. The relation to quantum gravity has been further developed by working over the moduli space of all complex structures. Relations to Donaldson's program pointed out. References added

null

10.1007/JHEP10(2011)106

null

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

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

We propose a statistical mechanical derivation of Kahler-Einstein metrics, i.e. solutions to Einstein's vacuum field equations in Euclidean signature (with a cosmological constant) on a compact Kahler manifold X. The microscopic theory is given by a canonical free fermion gas on X whose one-particle states are pluricanonical holomorphic sections on X (coinciding with higher spin states in the case of a Riemann surface). A heuristic, but hopefully physically illuminating, argument for the convergence in the thermodynamical (large N) limit is given, based on a recent mathematically rigorous result about exponentially small fluctuations of Slater determinants. Relations to effective bosonization and the Yau-Tian-Donaldson program in Kahler geometry are pointed out. The precise mathematical details will be investigated elsewhere.

[ { "created": "Wed, 15 Sep 2010 14:37:21 GMT", "version": "v1" }, { "created": "Sat, 25 Jun 2011 15:12:16 GMT", "version": "v2" } ]

2015-05-19

[ [ "Berman", "Robert J.", "" ] ]

We propose a statistical mechanical derivation of Kahler-Einstein metrics, i.e. solutions to Einstein's vacuum field equations in Euclidean signature (with a cosmological constant) on a compact Kahler manifold X. The microscopic theory is given by a canonical free fermion gas on X whose one-particle states are pluricanonical holomorphic sections on X (coinciding with higher spin states in the case of a Riemann surface). A heuristic, but hopefully physically illuminating, argument for the convergence in the thermodynamical (large N) limit is given, based on a recent mathematically rigorous result about exponentially small fluctuations of Slater determinants. Relations to effective bosonization and the Yau-Tian-Donaldson program in Kahler geometry are pointed out. The precise mathematical details will be investigated elsewhere.

9.150975

10.815737

10.469287

9.792285

10.447249

10.433853

10.451079

10.360871

10.248531

11.394992

9.638964

9.180749

8.939051

8.957172

8.868698

8.984026

9.12481

8.911222

9.307698

9.085349

9.153548

0805.0665

Marek Rogatko

Rafa{\l} Moderski and Marek Rogatko

Decay of Dirac Massive Hair in the Background of Spherical Black Hole

8 pages, 5 figures, RevTex, to be published in Phys.Rev.D15

Phys.Rev.D77:124007,2008

10.1103/PhysRevD.77.124007

null

hep-th gr-qc

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

The intermediate and late-time behaviour of massive Dirac hair in the static spherically symmetric black hole spacetime was studied. It was revealed that the intermediate asymptotic pattern of decay of massive Dirac spinor hair is dependent on the mass of the field under consideration as well as the multiple number of the wave mode. The long-lived oscillatory tail observed at timelike infinity in the considered background decays slowly as t^{-5/6}.

[ { "created": "Tue, 6 May 2008 08:07:30 GMT", "version": "v1" } ]

2008-11-26

[ [ "Moderski", "Rafał", "" ], [ "Rogatko", "Marek", "" ] ]

The intermediate and late-time behaviour of massive Dirac hair in the static spherically symmetric black hole spacetime was studied. It was revealed that the intermediate asymptotic pattern of decay of massive Dirac spinor hair is dependent on the mass of the field under consideration as well as the multiple number of the wave mode. The long-lived oscillatory tail observed at timelike infinity in the considered background decays slowly as t^{-5/6}.

15.210882

11.302372

10.811721

11.750702

10.904348

11.120193

11.803726

10.22133

12.80272

13.923836

12.439477

13.000476

12.942143

12.090898

12.439337

12.244833

12.369807

11.733665

13.164724

13.100214

12.326432

2004.04483

Takuya Kanazawa

Color-flavor locking and 2SC pairing in random matrix theory

9 pages. v2: results for two flavors are added in section 4

null

hep-th hep-lat math-ph math.MP nucl-th

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

A new non-Hermitian chiral random matrix model is proposed. For three flavors, it is shown that in the large-$N$ limit with $N$ the matrix size, the color $\mathrm{SU}(3)$ and the flavor $\mathrm{SU}(3)$ symmetries are spontaneously broken to the diagonal $\mathrm{SU}(3)$ subgroup, realizing color-flavor locking. The nonlinear sigma model representation is rigorously derived and compared with the CFL chiral Lagrangian of QCD. For two flavors, the color $\mathrm{SU}(3)$ symmetry is shown to be spontaneously broken to $\mathrm{SU}(2)$ while the chiral $\mathrm{SU}(2)_L\times\mathrm{SU}(2)_R$ symmetry remains intact, thus reproducing the symmetry breaking pattern of the 2SC phase in QCD.

[ { "created": "Thu, 9 Apr 2020 11:07:12 GMT", "version": "v1" }, { "created": "Tue, 14 Apr 2020 15:08:55 GMT", "version": "v2" } ]

2020-04-15

[ [ "Kanazawa", "Takuya", "" ] ]

A new non-Hermitian chiral random matrix model is proposed. For three flavors, it is shown that in the large-$N$ limit with $N$ the matrix size, the color $\mathrm{SU}(3)$ and the flavor $\mathrm{SU}(3)$ symmetries are spontaneously broken to the diagonal $\mathrm{SU}(3)$ subgroup, realizing color-flavor locking. The nonlinear sigma model representation is rigorously derived and compared with the CFL chiral Lagrangian of QCD. For two flavors, the color $\mathrm{SU}(3)$ symmetry is shown to be spontaneously broken to $\mathrm{SU}(2)$ while the chiral $\mathrm{SU}(2)_L\times\mathrm{SU}(2)_R$ symmetry remains intact, thus reproducing the symmetry breaking pattern of the 2SC phase in QCD.

4.085155

3.797922

3.821273

3.775359

3.659358

3.741702

3.899924

3.93516

3.626648

3.970613

3.913867

3.836785

3.844483

3.897037

3.869187

3.85614

3.944579

3.926048

3.825491

3.840291

3.845515

1810.01802

Joan Camps

Superselection Sectors of Gravitational Subregions

17 pages. v4: minor corrections, accepted in JHEP

null

10.1007/JHEP01(2019)182

null

hep-th gr-qc

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

Motivated by the problem of defining the entanglement entropy of the graviton, we study the division of the phase space of general relativity across subregions. Our key requirement is demanding that the separation into subregions is imaginary---i.e., that entangling surfaces are not physical. This translates into a certain condition on the symplectic form. We find that gravitational subregions that satisfy this condition are bounded by surfaces of extremal area. We characterise the 'centre variables' of the phase space of the graviton in such subsystems, which can be taken to be the conformal class of the induced metric in the boundary, subject to a constraint involving the traceless part of the extrinsic curvature. We argue that this condition works to discard local deformations of the boundary surface to infinitesimally nearby extremal surfaces, that are otherwise available for generic codimension-2 extremal surfaces of dimension $\geq$ 2.

[ { "created": "Wed, 3 Oct 2018 15:40:49 GMT", "version": "v1" }, { "created": "Mon, 29 Oct 2018 17:10:20 GMT", "version": "v2" }, { "created": "Fri, 30 Nov 2018 18:10:55 GMT", "version": "v3" }, { "created": "Tue, 22 Jan 2019 21:39:41 GMT", "version": "v4" } ]

2019-02-20

[ [ "Camps", "Joan", "" ] ]

Motivated by the problem of defining the entanglement entropy of the graviton, we study the division of the phase space of general relativity across subregions. Our key requirement is demanding that the separation into subregions is imaginary---i.e., that entangling surfaces are not physical. This translates into a certain condition on the symplectic form. We find that gravitational subregions that satisfy this condition are bounded by surfaces of extremal area. We characterise the 'centre variables' of the phase space of the graviton in such subsystems, which can be taken to be the conformal class of the induced metric in the boundary, subject to a constraint involving the traceless part of the extrinsic curvature. We argue that this condition works to discard local deformations of the boundary surface to infinitesimally nearby extremal surfaces, that are otherwise available for generic codimension-2 extremal surfaces of dimension $\geq$ 2.

11.579195

11.723787

11.971523

10.393163

10.737488

11.581937

11.26522

10.99194

11.188219

13.762766

11.453001

11.54819

11.518456

11.213044

11.590044

11.172906

11.152886

10.847451

11.357104

11.474095

11.165956

1509.08027

Evgeny Ivanov

Guillaume Bossard, Evgeny Ivanov and Andrei Smilga

Ultraviolet behavior of 6D supersymmetric Yang-Mills theories and harmonic superspace

55 pages, some signs in sections 3 and 4 are corrected without affecting further conclusions

null

10.1007/JHEP12(2015)085

CPHT-RR036.0915

hep-th

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

We revisit the issue of higher-dimensional counterterms for the N=(1,1) supersymmetric Yang-Mills (SYM) theory in six dimensions using the off-shell N=(1,0) and on-shell N=(1,1) harmonic superspace approaches. The second approach is developed in full generality and used to solve, for the first time, the N=(1,1) SYM constraints in terms of N=(1,0) superfields. This provides a convenient tool to write explicit expressions for the candidate counterterms and other N=(1,1) invariants and may be conducive to proving non-renormalization theorems needed to explain the absence of certain logarithmic divergences in higher-loop contributions to scattering amplitudes in N=(1,1) SYM.

[ { "created": "Sat, 26 Sep 2015 21:12:52 GMT", "version": "v1" }, { "created": "Wed, 16 Dec 2015 10:55:32 GMT", "version": "v2" }, { "created": "Fri, 14 May 2021 17:55:44 GMT", "version": "v3" } ]

2021-05-17

[ [ "Bossard", "Guillaume", "" ], [ "Ivanov", "Evgeny", "" ], [ "Smilga", "Andrei", "" ] ]

We revisit the issue of higher-dimensional counterterms for the N=(1,1) supersymmetric Yang-Mills (SYM) theory in six dimensions using the off-shell N=(1,0) and on-shell N=(1,1) harmonic superspace approaches. The second approach is developed in full generality and used to solve, for the first time, the N=(1,1) SYM constraints in terms of N=(1,0) superfields. This provides a convenient tool to write explicit expressions for the candidate counterterms and other N=(1,1) invariants and may be conducive to proving non-renormalization theorems needed to explain the absence of certain logarithmic divergences in higher-loop contributions to scattering amplitudes in N=(1,1) SYM.

5.939019

5.739472

6.371491

5.688747

5.551792

5.68579

5.957717

5.420877

5.58745

7.457551

5.709644

5.841746

6.069401

5.820824

5.652211

5.900959

5.831851

5.766615

5.640229

6.139783

5.793193

0705.1130

Andrea Gregori

An Entropy-Weighted Sum over Non-Perturbative Vacua

LaTex, 198 pages, 23 figures. Version 2: added comments and references, corrected typos and errors

null

hep-th hep-ph

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

We discuss how, in a Universe restricted to the causal region connected to the observer, General Relativity implies the quantum nature of physical phenomena and directly leads to a string theory scenario, whose dynamics is ruled by a functional that weights all configurations according to their entropy. The most favoured configurations are those of minimal entropy. Along this class of vacua a four-dimensional space-time is automatically selected; when, at large volume, a description of space-time in terms of classical geometry can be recovered, the entropy-weighted sum reduces to the ordinary Feynman's path integral. What arises is a highly predictive scenario, phenomenologically compatible with the experimental observations and measurements, in which everything is determined in terms of the fundamental constants and the age of the Universe, with no room for freely-adjustable parameters. We discuss how this leads to the known spectrum of particles and interactions. Besides the computation of masses and couplings, CKM matrix elements, cosmological constant, expansion parameters of the Universe etc..., all resulting, within the degree of the approximation we used, in agreement with the experimental observations, we also discuss how this scenario passes the tests provided by cosmology and the constraints imposed by the physics of the primordial Universe.

[ { "created": "Tue, 8 May 2007 18:06:52 GMT", "version": "v1" }, { "created": "Mon, 9 Feb 2009 11:40:39 GMT", "version": "v2" } ]

2009-02-09

[ [ "Gregori", "Andrea", "" ] ]

We discuss how, in a Universe restricted to the causal region connected to the observer, General Relativity implies the quantum nature of physical phenomena and directly leads to a string theory scenario, whose dynamics is ruled by a functional that weights all configurations according to their entropy. The most favoured configurations are those of minimal entropy. Along this class of vacua a four-dimensional space-time is automatically selected; when, at large volume, a description of space-time in terms of classical geometry can be recovered, the entropy-weighted sum reduces to the ordinary Feynman's path integral. What arises is a highly predictive scenario, phenomenologically compatible with the experimental observations and measurements, in which everything is determined in terms of the fundamental constants and the age of the Universe, with no room for freely-adjustable parameters. We discuss how this leads to the known spectrum of particles and interactions. Besides the computation of masses and couplings, CKM matrix elements, cosmological constant, expansion parameters of the Universe etc..., all resulting, within the degree of the approximation we used, in agreement with the experimental observations, we also discuss how this scenario passes the tests provided by cosmology and the constraints imposed by the physics of the primordial Universe.

15.365952

17.862728

16.598274

15.725545

16.375725

17.54113

18.484968

16.752071

17.033997

18.559038

16.164259

16.066729

15.226668

15.328831

15.279685

15.944092

15.744287

15.533038

15.257857

15.311235

15.385942

0811.2225

Hong Lu

H. Lu, Jianwei Mei and C.N. Pope

Kerr-AdS/CFT Correspondence in Diverse Dimensions

Latex, 19 pages, typos corrected and references added

JHEP 0904:054,2009

10.1088/1126-6708/2009/04/054

MIFP-08-29

hep-th

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

It was proposed recently that the near-horizon states of an extremal four-dimensional Kerr black hole could be identified with a certain chiral conformal field theory whose Virasoro algebra arises as an asymptotic symmetry algebra of the near-horizon Kerr geometry. Supportive evidence for the proposed duality came from the equality of the microscopic entropy of the CFT, calculated by means of the Cardy formula, and the Bekenstein-Hawking entropy of the extremal Kerr black hole. In this paper we examine the proposed Kerr/CFT correspondence in a broader context. In particular, we show that the microscopic entropy and the Bekenstein-Hawking entropy agree also for the extremal Kerr-AdS metric in four dimensions, and also for the extremal Kerr-AdS metrics in dimensions 5, 6 and 7. General formulae for all higher dimensions are also presented.

[ { "created": "Fri, 14 Nov 2008 20:39:10 GMT", "version": "v1" }, { "created": "Fri, 14 Nov 2008 21:05:04 GMT", "version": "v2" }, { "created": "Mon, 8 Dec 2008 17:40:08 GMT", "version": "v3" } ]

2009-04-17

[ [ "Lu", "H.", "" ], [ "Mei", "Jianwei", "" ], [ "Pope", "C. N.", "" ] ]

It was proposed recently that the near-horizon states of an extremal four-dimensional Kerr black hole could be identified with a certain chiral conformal field theory whose Virasoro algebra arises as an asymptotic symmetry algebra of the near-horizon Kerr geometry. Supportive evidence for the proposed duality came from the equality of the microscopic entropy of the CFT, calculated by means of the Cardy formula, and the Bekenstein-Hawking entropy of the extremal Kerr black hole. In this paper we examine the proposed Kerr/CFT correspondence in a broader context. In particular, we show that the microscopic entropy and the Bekenstein-Hawking entropy agree also for the extremal Kerr-AdS metric in four dimensions, and also for the extremal Kerr-AdS metrics in dimensions 5, 6 and 7. General formulae for all higher dimensions are also presented.

4.200057

3.647376

4.189569

3.8718

3.693145

3.645996

3.772326

3.928584

3.699545

4.515788

3.79016

4.063766

3.978621

3.932604

4.00588

4.02916

3.977841

4.000721

3.951633

3.940909

4.046894

hep-th/0211165

J. David Vergara

Juan M. Romero, J.A. Santiago and J. David Vergara

Newton's Second Law in a Noncommutative Space

7 pages, References added

Phys.Lett. A310 (2003) 9-12

10.1016/S0375-9601(03)00191-9

null

hep-th

null

In this work we show that corrections to the Newton's second law appears if we assume that the phase space has a symplectic structure consistent with the rules of commutation of noncommutative quantum mechanis. In the central field case we find that the correction term breaks the rotational symmetry. In particular, for the Kepler problem, this term takes the form of a Coriolis force produced by the weak gravitational field far from a rotating massive object.

[ { "created": "Mon, 18 Nov 2002 16:55:42 GMT", "version": "v1" }, { "created": "Mon, 25 Nov 2002 20:17:12 GMT", "version": "v2" } ]

2009-11-07

[ [ "Romero", "Juan M.", "" ], [ "Santiago", "J. A.", "" ], [ "Vergara", "J. David", "" ] ]

In this work we show that corrections to the Newton's second law appears if we assume that the phase space has a symplectic structure consistent with the rules of commutation of noncommutative quantum mechanis. In the central field case we find that the correction term breaks the rotational symmetry. In particular, for the Kepler problem, this term takes the form of a Coriolis force produced by the weak gravitational field far from a rotating massive object.

11.988133

9.747812

10.603381

10.209462

10.996136

11.077944

10.649949

10.157561

9.448575

11.556036

10.3567

10.335804

11.053469

10.262903

10.653584

10.198567

10.38484

10.345313

10.29912

10.732082

10.219561

2204.13513

Ashmita Das

Ashmita Das and Bibhas Ranjan Majhi

Unruh-Fulling effect in nonlocal field theory: The role of Unruh decomposition

Minor modifications, published in Physical Review D

Physical Review D, 106, 2022, 105025

10.1103/PhysRevD.106.105025

null

hep-th gr-qc quant-ph

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

We investigate the Unruh-Fulling effect in a class of nonlocal field theories by examining both the number operator and Unruh-DeWitt detector methods. Unlike in previous literature, we use Unruh quantization to quantize the matter field. Such choice, as oppose to standard Minkowski decomposition, naturally incorporates the time translational invariance in the positive frequency Wightman function and thus captures the thermal equilibrium of the system. We analyze the Unruh-Fulling effect for a massless real scalar field in both the Lorentz noninvariant and Lorentz invariant nonlocal theories. In Lorentz noninvariant nonlocal theory, the expectation value of number operator and the response function of the detector are modified by an overall multiplicative factor. Whereas in Lorentz invariant nonlocal theory these quantities remain identical to those of the standard Unruh-Fulling effect. The temperature of the thermal bath remains unaltered for both the Lorentz noninvariant and Lorentz invariant nonlocal theories. Therefore, in terms of temperature, the nonlocal Unruh-Fulling effect is universal while it is derived via Unruh quantization, whereas the transition rate may be modified.

[ { "created": "Thu, 28 Apr 2022 14:03:08 GMT", "version": "v1" }, { "created": "Wed, 30 Nov 2022 08:03:18 GMT", "version": "v2" } ]

2022-12-01

[ [ "Das", "Ashmita", "" ], [ "Majhi", "Bibhas Ranjan", "" ] ]

We investigate the Unruh-Fulling effect in a class of nonlocal field theories by examining both the number operator and Unruh-DeWitt detector methods. Unlike in previous literature, we use Unruh quantization to quantize the matter field. Such choice, as oppose to standard Minkowski decomposition, naturally incorporates the time translational invariance in the positive frequency Wightman function and thus captures the thermal equilibrium of the system. We analyze the Unruh-Fulling effect for a massless real scalar field in both the Lorentz noninvariant and Lorentz invariant nonlocal theories. In Lorentz noninvariant nonlocal theory, the expectation value of number operator and the response function of the detector are modified by an overall multiplicative factor. Whereas in Lorentz invariant nonlocal theory these quantities remain identical to those of the standard Unruh-Fulling effect. The temperature of the thermal bath remains unaltered for both the Lorentz noninvariant and Lorentz invariant nonlocal theories. Therefore, in terms of temperature, the nonlocal Unruh-Fulling effect is universal while it is derived via Unruh quantization, whereas the transition rate may be modified.

7.334396

8.068896

7.525638

7.126894

8.29493

7.246758

7.550551

7.473216

7.445495

8.006671

7.22777

7.578259

7.199205

7.076684

7.32955

7.442338

7.649757

7.28214

7.229021

7.436394

7.351472

hep-th/9806118

Claus Slotta

Stefan Ochs and Ulrich Heinz

Wigner functions in covariant and single-time formulations

92 pages, to appear in Annals of Physics (N.Y.)

Annals Phys.266:351-416,1998

10.1006/aphy.1998.5796

null

hep-th

null

We will establish the connection between the Lorentz covariant and so-called single-time formulation for the quark Wigner operator. To this end we will discuss the initial value problem for the Wigner operator of a field theory and give a discussion of the gauge-covariant formulation for the Wigner operator including some new results concerning the chiral limit. We discuss the gradient or semi-classical expansion and the color and spinor decomposition of the equations of motion for the Wigner operator. The single-time formulation will be derived from the covariant formulation by taking energy moments of the equations for the Wigner operator. For external fields we prove that only the lowest energy moments of the quark Wigner operator contain dynamical information.

[ { "created": "Mon, 15 Jun 1998 13:25:01 GMT", "version": "v1" } ]

2009-10-09

[ [ "Ochs", "Stefan", "" ], [ "Heinz", "Ulrich", "" ] ]

We will establish the connection between the Lorentz covariant and so-called single-time formulation for the quark Wigner operator. To this end we will discuss the initial value problem for the Wigner operator of a field theory and give a discussion of the gauge-covariant formulation for the Wigner operator including some new results concerning the chiral limit. We discuss the gradient or semi-classical expansion and the color and spinor decomposition of the equations of motion for the Wigner operator. The single-time formulation will be derived from the covariant formulation by taking energy moments of the equations for the Wigner operator. For external fields we prove that only the lowest energy moments of the quark Wigner operator contain dynamical information.

9.838817

10.777857

10.221296

10.027112

10.153478

10.221644

10.199708

10.996085

9.833385

11.587792

9.80735

10.001531

9.723087

9.496272

10.260374

9.858353

10.08262

10.020033

9.602177

9.771603

9.670263

1712.02846

Vakhid Gani

Ekaterina Belendryasova, Vakhid A. Gani

Resonance phenomena in the $\varphi^8$ kinks scattering

5 pages, 4 figures; Proceedings of the 3rd International Conference on Particle Physics and Astrophysics, Moscow, 2-5 October 2017

J. Phys.: Conf. Ser. 934, 012059 (2017)

10.1088/1742-6596/934/1/012059

null

hep-th cond-mat.mtrl-sci math-ph math.MP nlin.PS

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

We study the scattering of the $\varphi^8$ kinks with power-law asymptotics. We found two critical values of the initial velocity, $v_{cr}^{(1)}$ and $v_{cr}^{(2)}$, which separate different regimes of the kink-antikink collision. At the initial velocities $v_{in}< v_{cr}^{(1)}$ kinks can not collide due to repulsive force between them. At $v_{in}>v_{cr}^{(2)}$ the kinks escape to spatial infinities after one collision. In the range $v_{cr}^{(1)}\le v_{in}\le v_{cr}^{(2)}$ we observed kinks capture and formation of their bound state. Besides that, at these initial velocities we found resonance phenomena -- escape windows.

[ { "created": "Thu, 7 Dec 2017 20:05:46 GMT", "version": "v1" } ]

2018-01-09

[ [ "Belendryasova", "Ekaterina", "" ], [ "Gani", "Vakhid A.", "" ] ]

We study the scattering of the $\varphi^8$ kinks with power-law asymptotics. We found two critical values of the initial velocity, $v_{cr}^{(1)}$ and $v_{cr}^{(2)}$, which separate different regimes of the kink-antikink collision. At the initial velocities $v_{in}< v_{cr}^{(1)}$ kinks can not collide due to repulsive force between them. At $v_{in}>v_{cr}^{(2)}$ the kinks escape to spatial infinities after one collision. In the range $v_{cr}^{(1)}\le v_{in}\le v_{cr}^{(2)}$ we observed kinks capture and formation of their bound state. Besides that, at these initial velocities we found resonance phenomena -- escape windows.

4.499543

3.457708

4.874034

4.0804

3.798529

3.85299

3.804321

3.944262

3.869414

5.428346

4.078401

4.200271

4.548972

4.450271

4.254603

4.416775

4.406202

4.342848

4.358767

4.708838

4.324529

2005.13447

Mykola Stetsko

M. M. Stetsko

Static spherically symmetric Einstein-Yang-Mills-dilaton black hole and its thermodynamics

20 pages, 8 figures

null

10.1103/PhysRevD.101.124017

null

hep-th gr-qc

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

A static black hole with spherical symmetry is obtained and examined in the framework of Einstein-Yang-Mills-dilaton theory. The obtained black hole solution allowed us to derive and investigate entropy, temperature and heat capacity. To better examine the thermodynamics of the black hole extended phase space is also used. On this ground the equation of state is obtained and studied. We have also investigated the Gibbs free energy and it is shown that below the critical temperature the system demonstrates phase transitions of the first as well as of the zeroth order which is notable feature for other types of dilaton black holes. At the end critical exponents for the black hole are calculated.

[ { "created": "Wed, 27 May 2020 15:58:39 GMT", "version": "v1" } ]

2020-07-01

[ [ "Stetsko", "M. M.", "" ] ]

A static black hole with spherical symmetry is obtained and examined in the framework of Einstein-Yang-Mills-dilaton theory. The obtained black hole solution allowed us to derive and investigate entropy, temperature and heat capacity. To better examine the thermodynamics of the black hole extended phase space is also used. On this ground the equation of state is obtained and studied. We have also investigated the Gibbs free energy and it is shown that below the critical temperature the system demonstrates phase transitions of the first as well as of the zeroth order which is notable feature for other types of dilaton black holes. At the end critical exponents for the black hole are calculated.

10.558535

8.949011

9.402435

8.442392

9.116504

9.246174

9.598787

8.36738

9.451262

10.381649

9.40953

9.427859

9.47303

9.483647

9.630855

9.487046

9.631879

9.314619

9.66956

9.485909

9.746852

2102.09537

Congkao Wen

Daniele Dorigoni, Michael B. Green, Congkao Wen

Exact properties of an integrated correlator in $\mathcal{N}=4$ $SU(N)$ SYM

54 pages, 5 figures; v2: typos corrected, matches published version in JHEP

null

10.1007/JHEP05(2021)089

QMUL-PH-21-09, DCPT-21/03

hep-th

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

We present a novel expression for an integrated correlation function of four superconformal primaries in $SU(N)$ $\mathcal{N}=4$ SYM. This integrated correlator, which is based on supersymmetric localisation, has been the subject of several recent developments. The correlator is re-expressed as a sum over a two dimensional lattice that is valid for all $N$ and all values of the complex Yang-Mills coupling $\tau$. In this form it is manifestly invariant under $SL(2,\mathbb{Z})$ Montonen-Olive duality. Furthermore, it satisfies a remarkable Laplace-difference equation that relates the $SU(N)$ to the $SU(N+1)$ and $SU(N-1)$ correlators. For any fixed value of $N$ the correlator is an infinite series of non-holomorphic Eisenstein series, $E(s;\tau,\bar\tau)$ with $s\in \mathbb{Z}$, and rational coefficients. The perturbative expansion of the integrated correlator is asymptotic and the $n$-loop coefficient is a rational multiple of $\zeta(2n+1)$. The $n=1$ and $n=2$ terms agree precisely with results determined directly by integrating the expressions in one- and two-loop perturbative SYM. Likewise, the charge-$k$ instanton contributions have an asymptotic, but Borel summable, series of perturbative corrections. The large-$N$ expansion of the correlator with fixed $\tau$ is a series in powers of $N^{1/2-\ell}$ ($\ell\in \mathbb{Z}$) with coefficients that are rational sums of $E_s$ with $s\in \mathbb{Z}+1/2$. This gives an all orders derivation of the form of the recently conjectured expansion. We further consider 't Hooft large-$N$ Yang-Mills theory. The coefficient of each order can be expanded as a convergent series in $\lambda$. For large $\lambda$ this becomes an asymptotic series with coefficients that are again rational multiples of odd zeta values. The large-$\lambda$ series is not Borel summable, and its resurgent non-perturbative completion is $O(\exp(-2\sqrt{\lambda}))$.

[ { "created": "Thu, 18 Feb 2021 18:30:21 GMT", "version": "v1" }, { "created": "Mon, 10 May 2021 20:04:28 GMT", "version": "v2" } ]

2021-05-26

[ [ "Dorigoni", "Daniele", "" ], [ "Green", "Michael B.", "" ], [ "Wen", "Congkao", "" ] ]

We present a novel expression for an integrated correlation function of four superconformal primaries in $SU(N)$ $\mathcal{N}=4$ SYM. This integrated correlator, which is based on supersymmetric localisation, has been the subject of several recent developments. The correlator is re-expressed as a sum over a two dimensional lattice that is valid for all $N$ and all values of the complex Yang-Mills coupling $\tau$. In this form it is manifestly invariant under $SL(2,\mathbb{Z})$ Montonen-Olive duality. Furthermore, it satisfies a remarkable Laplace-difference equation that relates the $SU(N)$ to the $SU(N+1)$ and $SU(N-1)$ correlators. For any fixed value of $N$ the correlator is an infinite series of non-holomorphic Eisenstein series, $E(s;\tau,\bar\tau)$ with $s\in \mathbb{Z}$, and rational coefficients. The perturbative expansion of the integrated correlator is asymptotic and the $n$-loop coefficient is a rational multiple of $\zeta(2n+1)$. The $n=1$ and $n=2$ terms agree precisely with results determined directly by integrating the expressions in one- and two-loop perturbative SYM. Likewise, the charge-$k$ instanton contributions have an asymptotic, but Borel summable, series of perturbative corrections. The large-$N$ expansion of the correlator with fixed $\tau$ is a series in powers of $N^{1/2-\ell}$ ($\ell\in \mathbb{Z}$) with coefficients that are rational sums of $E_s$ with $s\in \mathbb{Z}+1/2$. This gives an all orders derivation of the form of the recently conjectured expansion. We further consider 't Hooft large-$N$ Yang-Mills theory. The coefficient of each order can be expanded as a convergent series in $\lambda$. For large $\lambda$ this becomes an asymptotic series with coefficients that are again rational multiples of odd zeta values. The large-$\lambda$ series is not Borel summable, and its resurgent non-perturbative completion is $O(\exp(-2\sqrt{\lambda}))$.

5.631705

5.396054

6.051536

5.257881

5.42887

5.480125

5.536679

5.268047

5.3899

6.510813

5.167027

5.293206

5.630037

5.395466

5.469463

5.458025

5.497939

5.419517

5.335536

5.70774

5.323937

hep-th/0210290

Michele Trapletti

M. Trapletti

Open string models with Scherk-Schwarz SUSY breaking

5 pages. Talk given at SUSY02, ``The 10th International Conference on Supersymmetry and unification of Fundamental Interactions'', DESY, Hamburg, June 17-23, 2002

null

SISSA-74/2002/EP

hep-th

null

We apply the well-known Scherk-Schwarz supersymmetry breaking mechanism in an open string context. We construct a new Z_3\times Z_3^\prime model, containing only D9-branes, and rederive from a more geometric perspective the known Z_6^\prime\times Z_2^\prime model, containing D9, D5 and \bar D 5 branes. We show recent results about the study of quantum instability of these models.

[ { "created": "Wed, 30 Oct 2002 14:28:31 GMT", "version": "v1" } ]

2007-05-23

[ [ "Trapletti", "M.", "" ] ]

We apply the well-known Scherk-Schwarz supersymmetry breaking mechanism in an open string context. We construct a new Z_3\times Z_3^\prime model, containing only D9-branes, and rederive from a more geometric perspective the known Z_6^\prime\times Z_2^\prime model, containing D9, D5 and \bar D 5 branes. We show recent results about the study of quantum instability of these models.

11.564079

8.007413

11.772

8.705134

7.805647

7.974986

8.869516

8.257823

7.84199

10.949895

8.49302

9.885957

10.242843

9.968609

10.056749

10.052238

9.555016

9.913513

10.01925

10.760907

9.890022

1907.06255

Anupam A H

Anupam A H, Athira P. V

Generalized coherent states in QCD from asymptotic symmetries

v1:44pages ; v2:46pages, new references added, 2 figures added, matches with published version

null

10.1103/PhysRevD.101.066010

null

hep-th

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

We investigate the relationship between asymptotic symmetries of QCD and vacuum transitions induced during scattering. Starting with the Fock vacuum in the far past, the infinity of conservation laws associated to (non-Abelian) asymptotic symmetries in QCD can be used to determine the vacuum in the far future. We show that the corresponding asymptotic Hilbert space in the future is generated by a class of dressed states in which each finite energy particle is dressed by a cloud of interacting soft gluons. We identify the precise structure of the dressing using conservation laws and show that the corresponding asymptotic states are equivalent to the generalised coherent states defined by Catani et al.

[ { "created": "Sun, 14 Jul 2019 17:49:25 GMT", "version": "v1" }, { "created": "Tue, 3 Nov 2020 10:30:15 GMT", "version": "v2" } ]

2020-11-04

[ [ "H", "Anupam A", "" ], [ "P.", "Athira", "V" ] ]

We investigate the relationship between asymptotic symmetries of QCD and vacuum transitions induced during scattering. Starting with the Fock vacuum in the far past, the infinity of conservation laws associated to (non-Abelian) asymptotic symmetries in QCD can be used to determine the vacuum in the far future. We show that the corresponding asymptotic Hilbert space in the future is generated by a class of dressed states in which each finite energy particle is dressed by a cloud of interacting soft gluons. We identify the precise structure of the dressing using conservation laws and show that the corresponding asymptotic states are equivalent to the generalised coherent states defined by Catani et al.

10.251104

9.326705

9.627316

9.653162

10.130984

9.349274

10.311422

9.552501

9.302749

10.533

9.754484

9.779856

9.589669

9.377504

9.164968

9.458256

9.835782

9.503693

9.4704

10.046564

9.56918

hep-th/0511198

Pavel Buividovich

P. V. Buividovich, V. I. Kuvshinov

Mixed colour states in QCD confining vacuum

null

Nonlinear Phenomena In Complex Systems, No. 3, Vol. 8 (2005)

null

hep-th

null

We show that confinement of spinless heavy quarks in fundamental representation of $SU(N_{c})$ gauge group can be treated as decoherence of pure colour state into a white mixture of states. Decoherence rate is found to be proportional to the tension of QCD string and the distance between colour charges. The purity of colour states is calculated.

[ { "created": "Sun, 20 Nov 2005 12:12:02 GMT", "version": "v1" }, { "created": "Thu, 31 Aug 2006 09:16:23 GMT", "version": "v2" } ]

2007-05-23

[ [ "Buividovich", "P. V.", "" ], [ "Kuvshinov", "V. I.", "" ] ]

We show that confinement of spinless heavy quarks in fundamental representation of $SU(N_{c})$ gauge group can be treated as decoherence of pure colour state into a white mixture of states. Decoherence rate is found to be proportional to the tension of QCD string and the distance between colour charges. The purity of colour states is calculated.

11.900055

10.613088

11.016301

9.551857

10.845733

11.651093

11.512094

10.494995

10.330845

11.186561

10.516717

10.743619

10.724606

10.031987

10.181303

10.898147

10.997735

10.349571

10.288849

10.561892

10.496764

1209.6016

Carlos A. S. Almeida

L. J. S. Sousa, C. A. S. Silva, C. A. S. Almeida

Brane bounce-type configurations in a string-like scenario

15 pages, 5 figures. To appear in Physics Letters B

Physics Letters B 718 (2012) pp. 579-583

10.1016/j.physletb.2012.09.070

null

hep-th gr-qc

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

Brane world six dimensional scenarios with string like metric has been proposed to alleviate the problem of field localization. However, these models have been suffering from some drawbacks related with energy conditions as well as from difficulties to find analytical solutions. In this work, we propose a model where a brane is made of a scalar field with bounce-type configurations and embedded in a bulk with a string-like metric. This model produces a sound AdS scenario where none of the important physical quantities is infinite. Among these quantities are the components of the energy momentum tensor, which have its positivity ensured by a suitable choice of the bounce configurations. Another advantage of this model is that the warp factor can be obtained analytically from the equations of motion for the scalar field, obtaining as a result a thick brane configuration, in a six dimensional context. Moreover, the study of the scalar field localization in these scenario is done.

[ { "created": "Wed, 26 Sep 2012 17:43:07 GMT", "version": "v1" }, { "created": "Thu, 27 Sep 2012 03:40:16 GMT", "version": "v2" } ]

2012-11-29

[ [ "Sousa", "L. J. S.", "" ], [ "Silva", "C. A. S.", "" ], [ "Almeida", "C. A. S.", "" ] ]

Brane world six dimensional scenarios with string like metric has been proposed to alleviate the problem of field localization. However, these models have been suffering from some drawbacks related with energy conditions as well as from difficulties to find analytical solutions. In this work, we propose a model where a brane is made of a scalar field with bounce-type configurations and embedded in a bulk with a string-like metric. This model produces a sound AdS scenario where none of the important physical quantities is infinite. Among these quantities are the components of the energy momentum tensor, which have its positivity ensured by a suitable choice of the bounce configurations. Another advantage of this model is that the warp factor can be obtained analytically from the equations of motion for the scalar field, obtaining as a result a thick brane configuration, in a six dimensional context. Moreover, the study of the scalar field localization in these scenario is done.

12.608519

13.531094

12.799649

12.365714

12.76131

13.450518

12.538589

12.764283

12.246608

12.910339

12.665283

12.554021

12.599556

12.46879

12.099675

12.314836

12.240151

12.142281

12.500275

12.42211

12.218598

2311.09219

John Stout

Priyesh Chakraborty and John Stout

Compact Scalars at the Cosmological Collider

40+10 pages, 4 figures, many diagrams

null

hep-th hep-ph

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

We study the dynamics of scalar fields with compact field spaces, or axions, in de Sitter space. We argue that the field space topology can qualitatively affect the physics of these fields beyond just which terms are allowed in their actions. We argue that the sharpest difference is for massless fields -- the free massless noncompact scalar field does not admit a two-point function that is both de Sitter-invariant and well-behaved at long distances, while the massless compact scalar does. As proof that this difference can be observable, we show that the long-distance behavior of a heavy scalar field, and thus its cosmological collider signal, can qualitatively change depending on whether it interacts with a light compact or noncompact scalar field. We find an interesting interplay between the circumference of the field space and the Hubble scale. When the field space is much larger than Hubble, the compact field behaves similarly to a light noncompact field and forces the heavy field to dilute much faster than any free field can. However, depending on how much smaller the field space is compared to Hubble, the compact field can cause the heavy scalar to decay either faster or slower than any free field and so we conclude that there can be qualitative and observable consequences of the field space's topology in inflationary correlation functions.

[ { "created": "Wed, 15 Nov 2023 18:59:13 GMT", "version": "v1" } ]

2023-11-16

[ [ "Chakraborty", "Priyesh", "" ], [ "Stout", "John", "" ] ]

We study the dynamics of scalar fields with compact field spaces, or axions, in de Sitter space. We argue that the field space topology can qualitatively affect the physics of these fields beyond just which terms are allowed in their actions. We argue that the sharpest difference is for massless fields -- the free massless noncompact scalar field does not admit a two-point function that is both de Sitter-invariant and well-behaved at long distances, while the massless compact scalar does. As proof that this difference can be observable, we show that the long-distance behavior of a heavy scalar field, and thus its cosmological collider signal, can qualitatively change depending on whether it interacts with a light compact or noncompact scalar field. We find an interesting interplay between the circumference of the field space and the Hubble scale. When the field space is much larger than Hubble, the compact field behaves similarly to a light noncompact field and forces the heavy field to dilute much faster than any free field can. However, depending on how much smaller the field space is compared to Hubble, the compact field can cause the heavy scalar to decay either faster or slower than any free field and so we conclude that there can be qualitative and observable consequences of the field space's topology in inflationary correlation functions.

8.193595

7.846785

8.371482

7.716384

8.340873

8.17624

8.16368

7.917893

7.647957

8.984907

7.690421

7.743055

7.836302

7.786881

7.646474

7.901071

7.785884

7.778481

7.758197

8.034337

7.730228

hep-th/0203006

Daniel Litim

Daniel F. Litim

Critical exponents from optimised renormalisation group flows

34 pages, 15 figures, revtex, to appear in NPB

Nucl.Phys.B631:128-158,2002

10.1016/S0550-3213(02)00186-4

CERN-TH-2002-023

hep-th cond-mat hep-ph

null

Within the exact renormalisation group, the scaling solutions for O(N) symmetric scalar field theories are studied to leading order in the derivative expansion. The Gaussian fixed point is examined for d>2 dimensions and arbitrary infrared regularisation. The Wilson-Fisher fixed point in d=3 is studied using an optimised flow. We compute critical exponents and subleading corrections-to-scaling to high accuracy from the eigenvalues of the stability matrix at criticality for all N. We establish that the optimisation is responsible for the rapid convergence of the flow and polynomial truncations thereof. The scheme dependence of the leading critical exponent is analysed. For all N > 0, it is found that the leading exponent is bounded. The upper boundary is achieved for a Callan-Symanzik flow and corresponds, for all N, to the large-N limit. The lower boundary is achieved by the optimised flow and is closest to the physical value. We show the reliability of polynomial approximations, even to low orders, if they are accompanied by an appropriate choice for the regulator. Possible applications to other theories are outlined.

[ { "created": "Fri, 1 Mar 2002 05:17:24 GMT", "version": "v1" }, { "created": "Mon, 18 Mar 2002 14:54:18 GMT", "version": "v2" } ]

2015-06-26

[ [ "Litim", "Daniel F.", "" ] ]

Within the exact renormalisation group, the scaling solutions for O(N) symmetric scalar field theories are studied to leading order in the derivative expansion. The Gaussian fixed point is examined for d>2 dimensions and arbitrary infrared regularisation. The Wilson-Fisher fixed point in d=3 is studied using an optimised flow. We compute critical exponents and subleading corrections-to-scaling to high accuracy from the eigenvalues of the stability matrix at criticality for all N. We establish that the optimisation is responsible for the rapid convergence of the flow and polynomial truncations thereof. The scheme dependence of the leading critical exponent is analysed. For all N > 0, it is found that the leading exponent is bounded. The upper boundary is achieved for a Callan-Symanzik flow and corresponds, for all N, to the large-N limit. The lower boundary is achieved by the optimised flow and is closest to the physical value. We show the reliability of polynomial approximations, even to low orders, if they are accompanied by an appropriate choice for the regulator. Possible applications to other theories are outlined.

9.727228

8.879602

9.954141

8.853346

9.428118

9.388178

8.943777

8.709816

8.558062

11.557427

8.897549

9.0208

9.354776

8.879857

9.102118

8.996973

9.107083

8.50092

8.845294

9.140503

8.867791

hep-th/9707251

null

Mans Henningson and Piljin Yi

Four-dimensional BPS-spectra via M-theory

18 pages, 3 figures, uses harvmac. References added

Phys. Rev. D 57, 1291 (1998)

10.1103/PhysRevD.57.1291

CERN-TH/97-175, CU-TP-852

hep-th

null

We consider the realization of four-dimensional theories with N = 2 supersymmetry as M-theory configurations including a five-brane. Our emphasis is on the spectrum of massive states, that are realized as two-branes ending on the five-brane. We start with a determination of the supersymmetries that are left unbroken by the background metric and five-brane. We then show how the central charge of the N = 2 algebra arises from the central charge associated with the M-theory two-brane. This determines the condition for a two-brane configuration to be BPS-saturated in the four-dimensional sense. By imposing certain conditions on the moduli, we can give concrete examples of such two-branes. This leads us to conjecture that vectormultiplet and hypermultiplet BPS-saturated states correspond to two-branes with the topology of a cylinder and a disc respectively. We also discuss the phenomenon of marginal stability of BPS-saturated states.

[ { "created": "Wed, 30 Jul 1997 22:20:32 GMT", "version": "v1" }, { "created": "Wed, 13 Aug 1997 09:48:51 GMT", "version": "v2" } ]

2016-08-25

[ [ "Henningson", "Mans", "" ], [ "Yi", "Piljin", "" ] ]

We consider the realization of four-dimensional theories with N = 2 supersymmetry as M-theory configurations including a five-brane. Our emphasis is on the spectrum of massive states, that are realized as two-branes ending on the five-brane. We start with a determination of the supersymmetries that are left unbroken by the background metric and five-brane. We then show how the central charge of the N = 2 algebra arises from the central charge associated with the M-theory two-brane. This determines the condition for a two-brane configuration to be BPS-saturated in the four-dimensional sense. By imposing certain conditions on the moduli, we can give concrete examples of such two-branes. This leads us to conjecture that vectormultiplet and hypermultiplet BPS-saturated states correspond to two-branes with the topology of a cylinder and a disc respectively. We also discuss the phenomenon of marginal stability of BPS-saturated states.

6.459826

6.382751

7.398184

6.526291

6.391148

6.700345

6.37202

6.508406

6.497654

7.402526

6.357193

6.455733

6.646506

6.35751

6.54535

6.181342

6.575865

6.490719

6.523742

6.317991

6.39829

hep-th/0003147

Vijay Balasubramanian

Vijay Balasubramanian, Eric Gimon and Djordje Minic

Consistency Conditions for Holographic Duality

LaTeX, 14 pages

JHEP 0005:014,2000

10.1088/1126-6708/2000/05/014

HUTP-00/A007, CITUSC/00-013, CALT68-2265

hep-th

null

We show that if the beta functions of a field theory are given by the gradient of a certain potential on the space of couplings, a gravitational background in one more dimension can express the renormalization group (RG) flow of the theory. The field theory beta functions and the gradient flow constraint together reconstruct the second order spacetime equations of motion. The RG equation reduces to the conventional gravitational computation of the spacetime quasilocal stress tensor, and a c-theorem holds true as a consequence of the Raychaudhuri equation. Conversely, under certain conditions, if the RG evolution of a field theory possesses a monotonic c-function, the flow of couplings can be expressed in terms of a higher dimensional gravitational background.

[ { "created": "Thu, 16 Mar 2000 20:41:55 GMT", "version": "v1" }, { "created": "Wed, 19 Apr 2000 18:50:57 GMT", "version": "v2" } ]

2014-11-18

[ [ "Balasubramanian", "Vijay", "" ], [ "Gimon", "Eric", "" ], [ "Minic", "Djordje", "" ] ]

We show that if the beta functions of a field theory are given by the gradient of a certain potential on the space of couplings, a gravitational background in one more dimension can express the renormalization group (RG) flow of the theory. The field theory beta functions and the gradient flow constraint together reconstruct the second order spacetime equations of motion. The RG equation reduces to the conventional gravitational computation of the spacetime quasilocal stress tensor, and a c-theorem holds true as a consequence of the Raychaudhuri equation. Conversely, under certain conditions, if the RG evolution of a field theory possesses a monotonic c-function, the flow of couplings can be expressed in terms of a higher dimensional gravitational background.

10.426085

9.891033

10.828195

8.944048

9.240772

8.902825

9.553555

9.51082

9.500211

11.017262

9.37279

9.394991

9.599631

9.170526

9.19152

9.089604

9.23702

9.132006

9.359476

9.833505

9.343836

1607.06506

Segundo Parra Mili\'an

Segundo P. Mili\'an

Supermultiplet of $\beta-$deformations from twistors

null

10.1142/S0217751X17501573

null

hep-th

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

We consider the supermultiplet of linearized beta-deformation of $\mathcal{N}=4$ Super Yang-Mills(SYM). It was previously studied on the gravitational side. We study the supermultiplet of beta-deformations on the field theory side and we compare two finite-dimensional representations of $psl(4|4,\bf{R})$ algebra. We show that they are related by an intertwining operator. We develop a twistor-based approach which could be useful for studying other finite-dimensional and nonunitary representations in AdS/CFT correspondence.

[ { "created": "Thu, 21 Jul 2016 21:22:08 GMT", "version": "v1" } ]

2017-10-04

[ [ "Milián", "Segundo P.", "" ] ]

We consider the supermultiplet of linearized beta-deformation of $\mathcal{N}=4$ Super Yang-Mills(SYM). It was previously studied on the gravitational side. We study the supermultiplet of beta-deformations on the field theory side and we compare two finite-dimensional representations of $psl(4|4,\bf{R})$ algebra. We show that they are related by an intertwining operator. We develop a twistor-based approach which could be useful for studying other finite-dimensional and nonunitary representations in AdS/CFT correspondence.

9.875498

10.377098

10.326262

9.136127

9.570834

10.005073

9.974004

10.064974

8.917622

11.037148

8.47156

9.061147

9.429716

8.934215

9.27682

9.31253

9.424057

9.023906

8.999026

9.338817

9.013744

2111.13697

Matthew Yu

Gauging Categorical Symmetries in 3d Topological Orders and Bulk Reconstruction

65 pages, comments welcome

null

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

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

We use the language of categorical condensation to give a procedure for gauging nonabelian anyons, which are the manifestations of categorical symmetries in three spacetime dimensions. We also describe how the condensation procedure can be used in other contexts such as for topological cosets and constructing modular invariants. By studying a generalization of which anyons are condensable, we arrive at representations of congruence subgroups of the modular group. We finally present an analysis for ungauging anyons, which is related to the problem of constructing a Drinfeld center for a fusion category; this procedure we refer to as bulk reconstruction. We introduce a set of consistency relations regarding lines in the parent theory and wall category. Through use of these relations along with the $S$-matrix elements of the child theory, we construct $S$-matrix elements of a parent theory in a number of examples.

[ { "created": "Fri, 26 Nov 2021 19:00:00 GMT", "version": "v1" }, { "created": "Thu, 3 Feb 2022 02:03:53 GMT", "version": "v2" }, { "created": "Mon, 10 Apr 2023 00:46:57 GMT", "version": "v3" } ]

2023-04-11

[ [ "Yu", "Matthew", "" ] ]

We use the language of categorical condensation to give a procedure for gauging nonabelian anyons, which are the manifestations of categorical symmetries in three spacetime dimensions. We also describe how the condensation procedure can be used in other contexts such as for topological cosets and constructing modular invariants. By studying a generalization of which anyons are condensable, we arrive at representations of congruence subgroups of the modular group. We finally present an analysis for ungauging anyons, which is related to the problem of constructing a Drinfeld center for a fusion category; this procedure we refer to as bulk reconstruction. We introduce a set of consistency relations regarding lines in the parent theory and wall category. Through use of these relations along with the $S$-matrix elements of the child theory, we construct $S$-matrix elements of a parent theory in a number of examples.

13.798132

13.30028

15.859338

12.575892

13.492867

13.871635

13.946362

12.72016

12.788848

16.558338

12.675494

12.322586

14.002375

13.021996

12.585413

13.078312

13.042046

12.71737

12.759141

13.88152

12.824896

hep-th/9406095

null

Tom Lada and Martin Markl

Strongly homotopy Lie algebras

17 pages

null

hep-th math.QA

null

The present paper can be thought of as a continuation of the paper "Introduction to sh Lie algebras for physicists" by T. Lada and J. Stasheff (International Journal of Theoretical Physics Vol. 32, No. 7 (1993), 1087--1103, appeared also as preprint hep-th/9209099) which provided an exposition of the basic ingredients of the theory of strongly homotopy Lie algebras sufficient for the underpinnings of the physically relevant examples. We demonstrate the `strong homotopy' analog of the usual relation between Lie and associative algebras and investigate the universal enveloping algebra functor emerging as the left adjoint of the symmetrization functor. We show that the category of homotopy associative algebras carries a natural monoidal structure such that the universal enveloping algebra is a unital coassociative cocommutative coalgebra with respect to this monoidal structure. The last section is concerned with the relation between homotopy modules and weak homotopy maps. The present paper is complementary to what currently exists in the literature, both physical and mathematical.

[ { "created": "Wed, 15 Jun 1994 08:46:25 GMT", "version": "v1" } ]

2008-02-03

[ [ "Lada", "Tom", "" ], [ "Markl", "Martin", "" ] ]

The present paper can be thought of as a continuation of the paper "Introduction to sh Lie algebras for physicists" by T. Lada and J. Stasheff (International Journal of Theoretical Physics Vol. 32, No. 7 (1993), 1087--1103, appeared also as preprint hep-th/9209099) which provided an exposition of the basic ingredients of the theory of strongly homotopy Lie algebras sufficient for the underpinnings of the physically relevant examples. We demonstrate the `strong homotopy' analog of the usual relation between Lie and associative algebras and investigate the universal enveloping algebra functor emerging as the left adjoint of the symmetrization functor. We show that the category of homotopy associative algebras carries a natural monoidal structure such that the universal enveloping algebra is a unital coassociative cocommutative coalgebra with respect to this monoidal structure. The last section is concerned with the relation between homotopy modules and weak homotopy maps. The present paper is complementary to what currently exists in the literature, both physical and mathematical.

6.595921

7.957782

7.983825

7.55791

8.517351

8.5456

8.267286

8.87116

7.512002

9.672151

7.119096

6.677219

7.066325

6.664219

6.610848

6.463673

6.558537

6.500083

6.707482

6.86393

6.560231

hep-th/9705122

Svend-Egil Hjelmeland

S. E. Hjelmeland and U. Lindstr\"om

Duality for the Non-Specialist

46 pages, Latex2e with twoside, one eps figure. References added

null

UIO/PHYS/97-03

hep-th

null

This is the written version of a series of lectures reviewing the basics of duality as applied to p-forms and sigma-models. The ideas are introduced by way of worked examples, often quite detailed. Our approach is very pedestrian and the presentation is aimed at non-specialists, such as e.g. graduate students.

[ { "created": "Fri, 16 May 1997 09:51:09 GMT", "version": "v1" }, { "created": "Mon, 26 May 1997 11:57:21 GMT", "version": "v2" } ]

2016-08-15

[ [ "Hjelmeland", "S. E.", "" ], [ "Lindström", "U.", "" ] ]

This is the written version of a series of lectures reviewing the basics of duality as applied to p-forms and sigma-models. The ideas are introduced by way of worked examples, often quite detailed. Our approach is very pedestrian and the presentation is aimed at non-specialists, such as e.g. graduate students.

17.000187

12.179346

14.579132

11.305662

11.835895

13.959059

13.662575

13.038377

12.161257

15.393508

12.385185

12.154367

14.58169

12.507463

12.861804

12.180241

12.23864

12.074065

12.531584

14.878743

13.50563

2004.10789

Oguz Turker

Oguz Turker, Jeroen van den Brink, Tobias Meng, Flavio S. Nogueira

Bosonization in 2+1 dimensions via Chern-Simons bosonic particle-vortex duality

13 pages, 4 figures; v2 matches published version

Phys. Rev. D 102, 034506 (2020)

10.1103/PhysRevD.102.034506

null

hep-th cond-mat.stat-mech

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

Dualities provide deep insight into physics by relating two seemingly distinct theories. Here we consider a duality between lattice fermions and bosons in (2+1) spacetime dimensions, relating free massive Dirac fermions to Abelian Chern-Simons Higgs (ACSH) bosons. To establish the duality we represent the exact partition function of the lattice fermions in terms of the writhe of fermionic worldlines. On the bosonic side the partition function is expressed in the writhe of the vortex loops of the particle-vortex dual of the ACSH Lagrangian. In the continuum and scaling limit we show these to be identical. This result can be understood from the closed fermionic worldlines being direct mappings of the ACSH vortex loops, with the writhe keeping track of particle statistics.

[ { "created": "Wed, 22 Apr 2020 18:52:06 GMT", "version": "v1" }, { "created": "Tue, 27 Oct 2020 16:04:21 GMT", "version": "v2" } ]

2020-10-28

[ [ "Turker", "Oguz", "" ], [ "Brink", "Jeroen van den", "" ], [ "Meng", "Tobias", "" ], [ "Nogueira", "Flavio S.", "" ] ]

Dualities provide deep insight into physics by relating two seemingly distinct theories. Here we consider a duality between lattice fermions and bosons in (2+1) spacetime dimensions, relating free massive Dirac fermions to Abelian Chern-Simons Higgs (ACSH) bosons. To establish the duality we represent the exact partition function of the lattice fermions in terms of the writhe of fermionic worldlines. On the bosonic side the partition function is expressed in the writhe of the vortex loops of the particle-vortex dual of the ACSH Lagrangian. In the continuum and scaling limit we show these to be identical. This result can be understood from the closed fermionic worldlines being direct mappings of the ACSH vortex loops, with the writhe keeping track of particle statistics.

8.182027

8.645451

9.764915

8.353967

8.619099

9.169719

8.943948

8.537913

8.441217

9.784167

8.237756

8.386289

8.271943

8.029935

8.301494

8.43704

8.51082

8.278326

8.027909

8.647176

8.039797

1503.01409

Douglas Stanford

Juan Maldacena, Stephen H. Shenker and Douglas Stanford

A bound on chaos

16+6 pages, 2 figures

null

10.1007/JHEP08(2016)106

null

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

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

We conjecture a sharp bound on the rate of growth of chaos in thermal quantum systems with a large number of degrees of freedom. Chaos can be diagnosed using an out-of-time-order correlation function closely related to the commutator of operators separated in time. We conjecture that the influence of chaos on this correlator can develop no faster than exponentially, with Lyapunov exponent $\lambda_L \le 2 \pi k_B T/\hbar$. We give a precise mathematical argument, based on plausible physical assumptions, establishing this conjecture.

[ { "created": "Wed, 4 Mar 2015 18:37:55 GMT", "version": "v1" } ]

2016-09-21

[ [ "Maldacena", "Juan", "" ], [ "Shenker", "Stephen H.", "" ], [ "Stanford", "Douglas", "" ] ]

We conjecture a sharp bound on the rate of growth of chaos in thermal quantum systems with a large number of degrees of freedom. Chaos can be diagnosed using an out-of-time-order correlation function closely related to the commutator of operators separated in time. We conjecture that the influence of chaos on this correlator can develop no faster than exponentially, with Lyapunov exponent $\lambda_L \le 2 \pi k_B T/\hbar$. We give a precise mathematical argument, based on plausible physical assumptions, establishing this conjecture.

5.351162

5.663805

7.107329

5.620503

6.083244

5.876913

6.172302

5.809303

5.411321

7.75666

5.785084

5.822555

6.155584

5.596445

5.757618

5.66811

5.497505

5.584865

5.759718

6.319885

5.362784

1305.1446

Yang Zhou

Yunseok Seo, Sang-Jin Sin, Yang Zhou

Thermal Mass and Plasmino for Strongly Interacting Fermions

20 pages, 14 figures

JHEP 1306:076,2013

10.1007/JHEP06(2013)076

null

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

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

We investigate fermion self energy problem in the strongly coupled dense medium in holographic approach. By working out bottom up models as well as top down ones we showed that vanishing thermal mass and non-existence of temperature generated plasmino mode is the universal feature of the strongly interacting fermion system. We identified that the dual of the bulk Rashiba effect, which was recently found by the Herzog et.al, is the presence of the plasmino mode generated by the density.

[ { "created": "Tue, 7 May 2013 09:32:38 GMT", "version": "v1" } ]

2013-06-24

[ [ "Seo", "Yunseok", "" ], [ "Sin", "Sang-Jin", "" ], [ "Zhou", "Yang", "" ] ]

We investigate fermion self energy problem in the strongly coupled dense medium in holographic approach. By working out bottom up models as well as top down ones we showed that vanishing thermal mass and non-existence of temperature generated plasmino mode is the universal feature of the strongly interacting fermion system. We identified that the dual of the bulk Rashiba effect, which was recently found by the Herzog et.al, is the presence of the plasmino mode generated by the density.

24.988159

24.514225

25.02479

23.753965

24.652424

25.466177

22.852642

23.408144

24.331488

27.48572

24.324568

21.79702

23.749546

22.305342

23.08297

22.580816

21.840109

22.36236

21.463844

23.972025

21.471193

hep-th/9505043

A. Khare

Avinash Khare

Chern-Simons Term and Charged Vortices in Abelian and Nonabelian Gauge Theories

To be published in the Proceedings of Indian National Science Academy, Part A-physical Sciences

Proc.Indian Natl.Sci.Acad.A61:161-178,1995

null

IP-BBSR/95-3, January 95

hep-th

null

In this article we review some of the recent advances regarding the charged vortex solutions in abelian and nonabelian gauge theories with Chern-Simons (CS) term in two space dimensions. Since these nontrivial results are essentially because of the CS term, hence, we first discuss in some detail the various properties of the CS term in two space dimensions. In particular, it is pointed out that this parity (P) and time reversal (T) violating but gauge invariant term when added to the Maxwell Lagrangian gives a massive gauge quanta and yet the theory is still gauge invariant. Further, the vacuum of such a theory shows the magneto-electric effect. Besides, we show that the CS term can also be generated by spontaneous symmetry breaking as well as by radiative corrections. A detailed discussion about Coleman-Hill theorem is also given which aserts that the parity-odd piece of the vacuum polarization tensor at zero momentum transfer is unaffected by two and multi-loop effects. Topological quantization of the coefficient of the CS term in nonabelian gauge theories is also elaborated in some detail. One of the dramatic effect of the CS term is that the vortices of the abelian (as well as nonabelian) Higgs model now acquire finite quantized charge and angular momentum. The various properties of these vortices are discussed at length with special emphasis on some of the recent developments including the discovery of the self-dual charged vortex solutions.

[ { "created": "Sat, 6 May 1995 17:44:17 GMT", "version": "v1" } ]

2011-03-28

[ [ "Khare", "Avinash", "" ] ]

In this article we review some of the recent advances regarding the charged vortex solutions in abelian and nonabelian gauge theories with Chern-Simons (CS) term in two space dimensions. Since these nontrivial results are essentially because of the CS term, hence, we first discuss in some detail the various properties of the CS term in two space dimensions. In particular, it is pointed out that this parity (P) and time reversal (T) violating but gauge invariant term when added to the Maxwell Lagrangian gives a massive gauge quanta and yet the theory is still gauge invariant. Further, the vacuum of such a theory shows the magneto-electric effect. Besides, we show that the CS term can also be generated by spontaneous symmetry breaking as well as by radiative corrections. A detailed discussion about Coleman-Hill theorem is also given which aserts that the parity-odd piece of the vacuum polarization tensor at zero momentum transfer is unaffected by two and multi-loop effects. Topological quantization of the coefficient of the CS term in nonabelian gauge theories is also elaborated in some detail. One of the dramatic effect of the CS term is that the vortices of the abelian (as well as nonabelian) Higgs model now acquire finite quantized charge and angular momentum. The various properties of these vortices are discussed at length with special emphasis on some of the recent developments including the discovery of the self-dual charged vortex solutions.

7.486132

7.69649

8.640427

7.382568

8.285295

8.025989

7.995749

7.698603

7.4755

8.734308

7.830158

7.494107

7.656697

7.385171

7.709079

7.622025

7.527187

7.485079

7.658957

7.657222

7.556751

hep-th/0110185

Maslowski Tomasz

Stanis{\l}aw D. G{\l}azek and Tomasz Mas{\l}owski

Renormalized Poincar\'e algebra for effective particles in quantum field theory

17 pages, 5 figures

Phys.Rev. D65 (2002) 065011

10.1103/PhysRevD.65.065011

null

hep-th

null

Using an expansion in powers of an infinitesimally small coupling constant $g$, all generators of the Poincar\'e group in local scalar quantum field theory with interaction term $g \phi^3$ are expressed in terms of annihilation and creation operators $a_\lambda$ and $a^\dagger_\lambda$ that result from a boost-invariant renormalization group procedure for effective particles. The group parameter $\lambda$ is equal to the momentum-space width of form factors that appear in vertices of the effective-particle Hamiltonians, $H_\lambda$. It is verified for terms order 1, $g$, and $g^2$, that the calculated generators satisfy required commutation relations for arbitrary values of $\lambda$. One-particle eigenstates of $H_\lambda$ are shown to properly transform under all Poincar\'e transformations. The transformations are obtained by exponentiating the calculated algebra. From a phenomenological point of view, this study is a prerequisite to construction of observables such as spin and angular momentum of hadrons in quantum chromodynamics.

[ { "created": "Fri, 19 Oct 2001 16:53:59 GMT", "version": "v1" } ]

2009-11-07

[ [ "Głazek", "Stanisław D.", "" ], [ "Masłowski", "Tomasz", "" ] ]

Using an expansion in powers of an infinitesimally small coupling constant $g$, all generators of the Poincar\'e group in local scalar quantum field theory with interaction term $g \phi^3$ are expressed in terms of annihilation and creation operators $a_\lambda$ and $a^\dagger_\lambda$ that result from a boost-invariant renormalization group procedure for effective particles. The group parameter $\lambda$ is equal to the momentum-space width of form factors that appear in vertices of the effective-particle Hamiltonians, $H_\lambda$. It is verified for terms order 1, $g$, and $g^2$, that the calculated generators satisfy required commutation relations for arbitrary values of $\lambda$. One-particle eigenstates of $H_\lambda$ are shown to properly transform under all Poincar\'e transformations. The transformations are obtained by exponentiating the calculated algebra. From a phenomenological point of view, this study is a prerequisite to construction of observables such as spin and angular momentum of hadrons in quantum chromodynamics.

9.867018

9.897204

9.264668

8.777744

9.572733

9.329821

9.229607

8.740157

8.727023

10.297894

8.890629

9.182964

9.052578

8.883389

8.903828

9.185328

9.295688

9.455959

8.784123

9.111

9.446951

0708.1770

Subhaneil Lahiri

Sayantani Bhattacharyya, Subhaneil Lahiri, R. Loganayagam and Shiraz Minwalla

Large rotating AdS black holes from fluid mechanics

62 pages, 1 figure. v2: references, typos

JHEP 0809:054,2008

10.1088/1126-6708/2008/09/054

null

hep-th

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

We use the AdS/CFT correspondence to argue that large rotating black holes in global AdS(D) spaces are dual to stationary solutions of the relativistic Navier-Stokes equations on S**(D-2). Reading off the equation of state of this fluid from the thermodynamics of non-rotating black holes, we proceed to construct the nonlinear spinning solutions of fluid mechanics that are dual to rotating black holes. In all known examples, the thermodynamics and the local stress tensor of our solutions are in precise agreement with the thermodynamics and boundary stress tensor of the spinning black holes. Our fluid dynamical description applies to large non-extremal black holes as well as a class of large non-supersymmetric extremal black holes, but is never valid for supersymmetric black holes. Our results yield predictions for the thermodynamics of all large black holes in all theories of gravity on AdS spaces, for example, string theory on AdS(5) x S**5 and M theory on AdS(4) x S**7 and AdS(7) x S**4.

[ { "created": "Tue, 14 Aug 2007 17:20:08 GMT", "version": "v1" }, { "created": "Fri, 25 Jul 2008 13:02:44 GMT", "version": "v2" } ]

2009-09-29

[ [ "Bhattacharyya", "Sayantani", "" ], [ "Lahiri", "Subhaneil", "" ], [ "Loganayagam", "R.", "" ], [ "Minwalla", "Shiraz", "" ] ]

We use the AdS/CFT correspondence to argue that large rotating black holes in global AdS(D) spaces are dual to stationary solutions of the relativistic Navier-Stokes equations on S**(D-2). Reading off the equation of state of this fluid from the thermodynamics of non-rotating black holes, we proceed to construct the nonlinear spinning solutions of fluid mechanics that are dual to rotating black holes. In all known examples, the thermodynamics and the local stress tensor of our solutions are in precise agreement with the thermodynamics and boundary stress tensor of the spinning black holes. Our fluid dynamical description applies to large non-extremal black holes as well as a class of large non-supersymmetric extremal black holes, but is never valid for supersymmetric black holes. Our results yield predictions for the thermodynamics of all large black holes in all theories of gravity on AdS spaces, for example, string theory on AdS(5) x S**5 and M theory on AdS(4) x S**7 and AdS(7) x S**4.

6.303495

5.982275

6.739442

5.609896

6.022491

5.963093

5.937842

5.968235

5.813873

6.933388

5.41682

6.000909

6.320527

5.802697

6.009568

5.896111

5.862936

5.889666

5.782855

6.325584

5.837539

hep-th/9604041

Michael Douglas

Michael R. Douglas and Miao Li

D-Brane Realization of N=2 Super Yang-Mills Theory in Four Dimensions

harvmac, 13 pp. Revised discussion of (p,q) 7-branes

null

BROWN-HET-1032, RU-96-16

hep-th

null

We develop and study a D-brane realization of 4D N=2 super Yang-Mills theory. It is a type IIB string theory compactified on R^6\times K3 and containing parallel 7-branes. It can also be regarded as a subsector of Vafa's F-theory compactified on K3\times K3 and is thus dual to the heterotic string on K3\times T^2. We show that the one-loop prepotential in this gauge theory is exactly equal to the interaction produced by classical closed string exchange. A monopole configuration corresponds to an open Dirichlet 5-brane wrapping around K3 with ends attached to two 7-branes.

[ { "created": "Mon, 8 Apr 1996 21:17:57 GMT", "version": "v1" }, { "created": "Thu, 25 Apr 1996 03:42:23 GMT", "version": "v2" } ]

2008-02-03

[ [ "Douglas", "Michael R.", "" ], [ "Li", "Miao", "" ] ]

We develop and study a D-brane realization of 4D N=2 super Yang-Mills theory. It is a type IIB string theory compactified on R^6\times K3 and containing parallel 7-branes. It can also be regarded as a subsector of Vafa's F-theory compactified on K3\times K3 and is thus dual to the heterotic string on K3\times T^2. We show that the one-loop prepotential in this gauge theory is exactly equal to the interaction produced by classical closed string exchange. A monopole configuration corresponds to an open Dirichlet 5-brane wrapping around K3 with ends attached to two 7-branes.

7.252072

7.814898

8.116985

6.916614

7.011819

7.1663

7.153028

7.089832

7.232632

9.411919

6.920974

7.175498

6.935518

7.12503

7.128256

7.012168

6.93163

7.024232

6.958483

6.940969

7.026051

1309.3764

Shao-Feng Wu

Yong-Zhuang Li, Shao-Feng Wu, Guo-Hong Yang

Gauss-Bonnet correction to Holographic thermalization: two-point functions, circular Wilson loops and entanglement entropy

19 pages, 9 figures, clarifications and references added, to appear in Phys. Rev. D

Phys. Rev. D 88, 086006 (2013)

10.1103/PhysRevD.88.086006

null

hep-th gr-qc

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

We study the thermalization of a class of 4-dimensional strongly coupled theories dual to a 5-dimensional AdS-Vaidya spacetime with Gauss-Bonnet curvature corrections. We probe the thermalization using the two-point functions, the expectation values of circular Wilson loops and entanglement entropy. When boundary separation is small, we observe that the thermalization times of these observables have the weak dependence on the Gauss-Bonnet coupling constant $\alpha $. In addition, the growth rate of entanglement entropy density is nearly volume-independent. We also show that a new kind of swallow-tail behavior may exhibit in the thermalization of the two-point function when $\alpha $ is negative and $\ell$ is large enough. At large negative $\alpha $ ($\alpha \lesssim -0.1$) the relationship between the critical thermalization time of entanglement entropy and the boundary separation encounters certain \textquotedblleft phase transition\textquotedblright .

[ { "created": "Sun, 15 Sep 2013 14:04:05 GMT", "version": "v1" }, { "created": "Tue, 8 Oct 2013 19:12:14 GMT", "version": "v2" } ]

2013-10-30

[ [ "Li", "Yong-Zhuang", "" ], [ "Wu", "Shao-Feng", "" ], [ "Yang", "Guo-Hong", "" ] ]

We study the thermalization of a class of 4-dimensional strongly coupled theories dual to a 5-dimensional AdS-Vaidya spacetime with Gauss-Bonnet curvature corrections. We probe the thermalization using the two-point functions, the expectation values of circular Wilson loops and entanglement entropy. When boundary separation is small, we observe that the thermalization times of these observables have the weak dependence on the Gauss-Bonnet coupling constant $\alpha $. In addition, the growth rate of entanglement entropy density is nearly volume-independent. We also show that a new kind of swallow-tail behavior may exhibit in the thermalization of the two-point function when $\alpha $ is negative and $\ell$ is large enough. At large negative $\alpha $ ($\alpha \lesssim -0.1$) the relationship between the critical thermalization time of entanglement entropy and the boundary separation encounters certain \textquotedblleft phase transition\textquotedblright .

7.86867

7.092661

8.296889

7.131381

7.253131

7.229975

6.730871

6.962975

7.105456

8.28644

7.138287

7.426185

7.857311

7.513287

7.365648

7.477338

7.619968

7.390101

7.454758

7.766077

7.287942

2301.13182

Georg Stettinger

Martin Schnabl, Georg Stettinger

Open string field theory with stubs

22 pages

null

10.1007/JHEP07(2023)032

null

hep-th

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

There are various reasons why adding stubs to the vertices of open string field theory (OSFT) is interesting: Not only the stubs can tame certain singularities and make the theory more well-behaved, but also the new theory shares a lot of similarities with closed string field theory, which helps to improve our understanding of its structure and possible solutions. In this paper we explore two natural ways of implementing stubs into the framework of OSFT, resulting in an A-infinity-algebra giving rise to infinitely many vertices. We find two distinct consistent actions, both generated by a field redefinition, interestingly sharing the same equations of motion. In the last section we illustrate their relationship and physical meaning by applying our construction to nearly marginal solutions.

[ { "created": "Mon, 30 Jan 2023 18:50:28 GMT", "version": "v1" }, { "created": "Thu, 30 Mar 2023 16:03:44 GMT", "version": "v2" } ]

2023-07-26

[ [ "Schnabl", "Martin", "" ], [ "Stettinger", "Georg", "" ] ]

There are various reasons why adding stubs to the vertices of open string field theory (OSFT) is interesting: Not only the stubs can tame certain singularities and make the theory more well-behaved, but also the new theory shares a lot of similarities with closed string field theory, which helps to improve our understanding of its structure and possible solutions. In this paper we explore two natural ways of implementing stubs into the framework of OSFT, resulting in an A-infinity-algebra giving rise to infinitely many vertices. We find two distinct consistent actions, both generated by a field redefinition, interestingly sharing the same equations of motion. In the last section we illustrate their relationship and physical meaning by applying our construction to nearly marginal solutions.

15.50808

13.773228

14.980326

12.840547

14.210956

14.177503

13.404064

13.446773

13.735997

16.383976

14.540292

13.778509

13.626575

13.30654

13.620885

13.487502

13.614374

13.951739

13.44258

14.165653

14.200774

0808.3379

David Dudal

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

The effects of Gribov copies in 2D gauge theories

10 pages, 1 .eps figure

Phys.Lett.B680:377-383,2009

10.1016/j.physletb.2009.08.055

MIT-CTP 3974

hep-th

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

In previous works, we have shown that the Gribov-Zwanziger action, which implements the restriction of the domain of integration in the path integral to the Gribov region, generates extra dynamical effects which influence the infrared behaviour of the gluon and ghost propagator in SU(N) Yang-Mills gauge theories. The latter are in good agreement with the most recent lattice data obtained at large volumes, both in 4D and in 3D. More precisely, the gluon propagator is suppressed and does not vanish at zero momentum, while the ghost propagator keeps a 1/p^2 behaviour for p^2\approx0. Instead, in 2D, the lattice data revealed a vanishing zero momentum gluon propagator and an infrared enhanced ghost, in support of the usual Gribov-Zwanziger scenario. We will now show that the 2D version of the Gribov-Zwanziger action still gives results in qualitative agreement with these lattice data, as the peculiar infrared nature of 2D gauge theories precludes the analogue of the dynamical effect otherwise present in 4D and 3D. Simultaneously, we also observe that the Gribov-Zwanziger restriction serves as an infrared regulating mechanism.

[ { "created": "Mon, 25 Aug 2008 16:12:52 GMT", "version": "v1" } ]

2009-10-06

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

In previous works, we have shown that the Gribov-Zwanziger action, which implements the restriction of the domain of integration in the path integral to the Gribov region, generates extra dynamical effects which influence the infrared behaviour of the gluon and ghost propagator in SU(N) Yang-Mills gauge theories. The latter are in good agreement with the most recent lattice data obtained at large volumes, both in 4D and in 3D. More precisely, the gluon propagator is suppressed and does not vanish at zero momentum, while the ghost propagator keeps a 1/p^2 behaviour for p^2\approx0. Instead, in 2D, the lattice data revealed a vanishing zero momentum gluon propagator and an infrared enhanced ghost, in support of the usual Gribov-Zwanziger scenario. We will now show that the 2D version of the Gribov-Zwanziger action still gives results in qualitative agreement with these lattice data, as the peculiar infrared nature of 2D gauge theories precludes the analogue of the dynamical effect otherwise present in 4D and 3D. Simultaneously, we also observe that the Gribov-Zwanziger restriction serves as an infrared regulating mechanism.

5.975237

5.906624

6.030669

5.611289

5.859784

5.994172

6.110302

5.859653

5.34538

6.278517

5.616285

5.821185

5.888639

5.695598

5.768108

5.731884

5.68012

5.76706

5.631549

5.730716

5.641644

2406.14601

Kwinten Fransen

Samarth Chawla, Kwinten Fransen, Cynthia Keeler

The Penrose limit of the Weyl double copy

44+18 pages

null

hep-th gr-qc

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

We embed the Penrose limit into the Weyl classical double copy. Thereby, we provide a lift of the double copy properties of plane wave spacetimes into black hole geometries and we open a novel avenue towards taking the classical double copy beyond statements about algebraically special backgrounds. In particular, the Penrose limit, viewed as the leading order Fermi coordinate expansion around a null geodesic, complements approaches leveraging asymptotic flatness such as the asymptotic Weyl double copy. Along the way, we show how our embedding of the Penrose limit within the Weyl double copy naturally fixes the functional ambiguity in the double copy for Petrov type N spacetimes. We also highlight the utility of a spinorial approach to the Penrose limit. In particular, we use this spinorial approach to derive a simple analytical expression for arbitrary Penrose limits of four-dimensional, vacuum type D spacetimes.

[ { "created": "Thu, 20 Jun 2024 18:00:00 GMT", "version": "v1" }, { "created": "Wed, 10 Jul 2024 18:00:01 GMT", "version": "v2" } ]

2024-07-12

[ [ "Chawla", "Samarth", "" ], [ "Fransen", "Kwinten", "" ], [ "Keeler", "Cynthia", "" ] ]

We embed the Penrose limit into the Weyl classical double copy. Thereby, we provide a lift of the double copy properties of plane wave spacetimes into black hole geometries and we open a novel avenue towards taking the classical double copy beyond statements about algebraically special backgrounds. In particular, the Penrose limit, viewed as the leading order Fermi coordinate expansion around a null geodesic, complements approaches leveraging asymptotic flatness such as the asymptotic Weyl double copy. Along the way, we show how our embedding of the Penrose limit within the Weyl double copy naturally fixes the functional ambiguity in the double copy for Petrov type N spacetimes. We also highlight the utility of a spinorial approach to the Penrose limit. In particular, we use this spinorial approach to derive a simple analytical expression for arbitrary Penrose limits of four-dimensional, vacuum type D spacetimes.

10.967884

9.662665

9.68398

9.574922

9.67672

10.043382

10.312359

9.482636

10.374342

10.306523

9.395054

9.830856

9.991561

9.879144

9.699637

9.662985

10.187384

9.545387

9.710971

9.867823

9.92532

hep-th/9601037

John Rizos

P.M. Petropoulos(CERN) and J. Rizos(SISSA)

Universal moduli-dependent thresholds in Z(2)xZ(2) orbifolds

12 pages, Latex, contains two figures, final version, typos corrected

Phys.Lett.B374:49-56,1996

10.1016/0370-2693(96)00230-4

CERN-TH/95-284, SISSA/170/95/EP

hep-th

null

In the context of a recently proposed method for computing exactly string loop corrections regularized in the infra-red, we determine and calculate the universal moduli-dependent part of the threshold corrections to the gauge couplings for the symmetric $Z_2\times Z_2$ orbifold model. We show that these corrections decrease the unification scale of the underlying effective field theory. We also comment on the relation between this infra-red regularization scheme and other proposed methods.

[ { "created": "Tue, 9 Jan 1996 19:01:09 GMT", "version": "v1" }, { "created": "Tue, 16 Jan 1996 16:47:22 GMT", "version": "v2" }, { "created": "Wed, 14 Aug 1996 12:08:42 GMT", "version": "v3" } ]

2008-11-26

[ [ "Petropoulos", "P. M.", "", "CERN" ], [ "Rizos", "J.", "", "SISSA" ] ]

In the context of a recently proposed method for computing exactly string loop corrections regularized in the infra-red, we determine and calculate the universal moduli-dependent part of the threshold corrections to the gauge couplings for the symmetric $Z_2\times Z_2$ orbifold model. We show that these corrections decrease the unification scale of the underlying effective field theory. We also comment on the relation between this infra-red regularization scheme and other proposed methods.

11.456382

8.244949

9.494842

7.914559

8.15754

8.182636

8.524218

7.984141

7.900937

9.733281

7.762909

8.310338

8.150336

8.203905

8.4381

8.338344

8.451712

7.943223

8.474106

8.372167

8.469761

hep-th/0106226

Brigitte Hiller

Alexander A. Osipov and Brigitte Hiller (Centro de Fisica Teorica, Universidade de Coimbra, Portugal)

Large Mass Invariant Asymptotics of the Effective Action

5 pages, revtex, no figures

Phys.Rev. D64 (2001) 087701

10.1103/PhysRevD.64.087701

null

hep-th

null

We study the large mass asymptotics of the Dirac operator with a nondegenerate mass matrix m={diag}(m_1,m_2,m_3) in the presence of scalar and pseudoscalar background fields taking values in the Lie algebra of the U(3) group. The corresponding one-loop effective action is regularized by the Schwinger's proper-time technique. Using a well-known operator identity, we obtain a series representation for the heat kernel which differs from the standard proper-time expansion, if m_1\ne m_2\ne m_3. After integrating over the proper-time we use a new algorithm to resum the series. The invariant coefficients which define the asymptotics of the effective action are calculated up to the fourth order and compared with the related Seeley-DeWitt coefficients for the particular case of a degenerate mass matrix with m_1=m_2=m_3.

[ { "created": "Mon, 25 Jun 2001 15:44:46 GMT", "version": "v1" }, { "created": "Tue, 26 Jun 2001 12:18:08 GMT", "version": "v2" } ]

2009-11-07

[ [ "Osipov", "Alexander A.", "", "Centro de Fisica Teorica,\n Universidade de Coimbra, Portugal" ], [ "Hiller", "Brigitte", "", "Centro de Fisica Teorica,\n Universidade de Coimbra, Portugal" ] ]

We study the large mass asymptotics of the Dirac operator with a nondegenerate mass matrix m={diag}(m_1,m_2,m_3) in the presence of scalar and pseudoscalar background fields taking values in the Lie algebra of the U(3) group. The corresponding one-loop effective action is regularized by the Schwinger's proper-time technique. Using a well-known operator identity, we obtain a series representation for the heat kernel which differs from the standard proper-time expansion, if m_1\ne m_2\ne m_3. After integrating over the proper-time we use a new algorithm to resum the series. The invariant coefficients which define the asymptotics of the effective action are calculated up to the fourth order and compared with the related Seeley-DeWitt coefficients for the particular case of a degenerate mass matrix with m_1=m_2=m_3.

6.358263

6.281502

6.504981

5.830197

6.276284

6.569496

6.603432

5.86165

5.702222

6.534268

6.637761

6.020178

6.218345

5.853994

6.137014

6.365744

6.220509

5.999622

6.080649

6.472938

6.071645

1808.02052

Pablo Bueno

Pablo Bueno, Pablo A. Cano, Robie A. Hennigar and Robert B. Mann

Universality of squashed-sphere partition functions

11 pages, 2 figures; v3: minor modifications to match published version

Phys. Rev. Lett. 122, 071602 (2019)

10.1103/PhysRevLett.122.071602

null

hep-th gr-qc

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

We present several results concerning the free energy of odd-dimensional conformal field theories (CFTs) on squashed spheres. First, we propose a formula which computes this quantity for holographic CFTs dual to higher-curvature gravities with second-order linearized equations of motion. As opposed to standard on-shell action methods for Taub geometries, our formula is automatically UV-finite and only involves a simple evaluation of the corresponding bulk Lagrangian on an auxiliary pure-AdS space. The expression is closely related to the function determining the possible AdS vacua of the bulk theory in question, which we argue to act as a generating functional from which correlation functions of the boundary stress tensor can be easily characterized. Finally, based on holographic results and free-field numerical calculations, we conjecture that the subleading term in the squashing-parameter free-energy expansion is universally controlled by the stress-tensor three-point function charge $t_4$ for general $(2+1)$-dimensional CFTs.

[ { "created": "Mon, 6 Aug 2018 18:08:27 GMT", "version": "v1" }, { "created": "Thu, 23 Aug 2018 10:08:50 GMT", "version": "v2" }, { "created": "Fri, 1 Mar 2019 19:54:17 GMT", "version": "v3" } ]

2019-03-05

[ [ "Bueno", "Pablo", "" ], [ "Cano", "Pablo A.", "" ], [ "Hennigar", "Robie A.", "" ], [ "Mann", "Robert B.", "" ] ]

We present several results concerning the free energy of odd-dimensional conformal field theories (CFTs) on squashed spheres. First, we propose a formula which computes this quantity for holographic CFTs dual to higher-curvature gravities with second-order linearized equations of motion. As opposed to standard on-shell action methods for Taub geometries, our formula is automatically UV-finite and only involves a simple evaluation of the corresponding bulk Lagrangian on an auxiliary pure-AdS space. The expression is closely related to the function determining the possible AdS vacua of the bulk theory in question, which we argue to act as a generating functional from which correlation functions of the boundary stress tensor can be easily characterized. Finally, based on holographic results and free-field numerical calculations, we conjecture that the subleading term in the squashing-parameter free-energy expansion is universally controlled by the stress-tensor three-point function charge $t_4$ for general $(2+1)$-dimensional CFTs.

11.299427

10.078155

12.136301

9.857018

10.948598

10.385427

11.005043

10.636611

9.891125

12.783906

9.771104

10.924195

11.507519

10.608486

10.74944

10.561766

10.614222

10.320754

10.843053

11.009402

10.625049

hep-th/0202176

Yang-Hui Evariste He

Bo Feng, Yang-Hui He and Nicolas Moeller

The Spectrum of the Neumann Matrix with Zero Modes

25+1 pages, 3 Figures; typos corrected and some comments added

JHEP 0204 (2002) 038

10.1088/1126-6708/2002/04/038

MIT-CTP-3243

hep-th

null

We calculate the spectrum of the matrix M' of Neumann coefficients of the Witten vertex, expressed in the oscillator basis including the zero-mode a_0. We find that in addition to the known continuous spectrum inside [-1/3,0) of the matrix M without the zero-modes, there is also an additional eigenvalue inside (0,1). For every eigenvalue, there is a pair of eigenvectors, a twist-even and a twist-odd. We give analytically these eigenvectors as well as the generating function for their components. Also, we have found an interesting critical parameter b_0 = 8 ln 2 on which the forms of the eigenvectors depend.

[ { "created": "Tue, 26 Feb 2002 18:12:54 GMT", "version": "v1" }, { "created": "Wed, 20 Mar 2002 23:51:57 GMT", "version": "v2" } ]

2009-11-07

[ [ "Feng", "Bo", "" ], [ "He", "Yang-Hui", "" ], [ "Moeller", "Nicolas", "" ] ]

We calculate the spectrum of the matrix M' of Neumann coefficients of the Witten vertex, expressed in the oscillator basis including the zero-mode a_0. We find that in addition to the known continuous spectrum inside [-1/3,0) of the matrix M without the zero-modes, there is also an additional eigenvalue inside (0,1). For every eigenvalue, there is a pair of eigenvectors, a twist-even and a twist-odd. We give analytically these eigenvectors as well as the generating function for their components. Also, we have found an interesting critical parameter b_0 = 8 ln 2 on which the forms of the eigenvectors depend.

13.896893

13.030602

14.752213

11.462786

13.187069

13.83892

13.624844

12.2918

12.791472

15.778315

12.458139

13.33225

13.68467

12.838372

12.977941

13.306975

12.990193

13.087654

12.553144

13.446308

12.637198

1209.2357

Mir Faizal

Deformed Super-Yang-Mills in Batalin-Vilkovisky Formalism

16 pages, 0 figures, accepted for publication in Int. J. Theor. Phys

Int. J. Theor. Phys. 52: 392, 2013

10.1007/s10773-012-1344-y

null

hep-th

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

In this paper we will analyse a three dimensional super-Yang-Mills theory on a deformed superspace with boundaries. We show that it is possible to obtain an undeformed theory on the boundary if the bulk superspace is deformed by imposing a non-vanishing commutator between bosonic and fermionic coordinates. We will also analyse this theory in the Batalin-Vilkovisky (BV) formalism and show that these results also hold at a quantum level.

[ { "created": "Tue, 11 Sep 2012 16:08:51 GMT", "version": "v1" } ]

2015-06-11

[ [ "Faizal", "Mir", "" ] ]

In this paper we will analyse a three dimensional super-Yang-Mills theory on a deformed superspace with boundaries. We show that it is possible to obtain an undeformed theory on the boundary if the bulk superspace is deformed by imposing a non-vanishing commutator between bosonic and fermionic coordinates. We will also analyse this theory in the Batalin-Vilkovisky (BV) formalism and show that these results also hold at a quantum level.

6.562878

5.787394

6.404083

5.234764

5.669955

5.45146

5.115166

5.376136

5.34614

6.538277

5.457089

5.470022

5.764551

5.420536

5.772683

5.545491

5.567491

5.488934

5.646087

5.991467

5.657379

hep-th/0107045

Jacob D. Bekenstein

The Case for Discrete Energy Levels of a Black Hole

Invited talk at "2001: A Spacetime Odyssey", inaugural conference of the Michigan Center for Theoretical Physics, May 22-25, 2001, 11 pages, LaTeX209; to appear in the proceedings published by World Scientific Publishing

Int.J.Mod.Phys. A17S1 (2002) 21-31

10.1142/S0217751X02012983

null

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

null

The adiabatic invariant nature of black hole horizon area in classical gravity suggests that in quantum theory the corresponding operator has a discrete spectrum. I here develop further an algebraic approach to black hole quantization which starts from very elementary assumptions, and proceeds by exploiting symmetry. It predicts a uniformly spaced area spectrum for all charges and angular momenta. Area eigenvalues are degenerate; correspondence with black hole entropy then dictates a precise value for the interval between eigenvalues.

[ { "created": "Fri, 6 Jul 2001 05:31:58 GMT", "version": "v1" } ]

2015-06-26

[ [ "Bekenstein", "Jacob D.", "" ] ]

The adiabatic invariant nature of black hole horizon area in classical gravity suggests that in quantum theory the corresponding operator has a discrete spectrum. I here develop further an algebraic approach to black hole quantization which starts from very elementary assumptions, and proceeds by exploiting symmetry. It predicts a uniformly spaced area spectrum for all charges and angular momenta. Area eigenvalues are degenerate; correspondence with black hole entropy then dictates a precise value for the interval between eigenvalues.

16.831356

17.017746

14.734022

13.827735

14.866528

17.471153

15.859005

13.77217

16.051878

14.687877

15.642218

15.739401

14.940759

14.719498

15.865279

15.478487

15.746029

14.578163

15.17683

15.450301

15.267817

hep-th/9309047

Richard MacKenzie

R. MacKenzie, P.K. Panigrahi and S. Sakhi

Superconductivity in $2+1$ dimensions via Kosterlitz-Thouless Mechanism: Large-N and Finite-Temperature Analyses

27 pages + 4 figures and several diagrammatic equations, available from authors upon request, UdeM-LPN-TH-147

Int.J.Mod.Phys.A9:3603-3630,1994

10.1142/S0217751X94001448

null

hep-th cond-mat

null

We analyse a $2+1$ dimensional model with charged, relativistic fermions interacting through a four-Fermi term. Taking advantage of its large-$N$ renormalizability, the various phases of this model are studied at finite temperature and beyond the leading order in $1/N$. Although the vacuum expectation value (VEV) of a charged order parameter is zero at any non-zero temperature, the model nevertheless exhibits a rich phase structure in the strong coupling r\'egime, because of the non-vanishing VEV of a neutral order parameter and due to the non-trivial dynamics of the vortex excitations on the plane. These are: a confined-vortex phase which is superconducting at low temperatures, an intermediate-temperature phase with deconfined vortices, and a high-temperature phase, where the neutral order parameter vanishes. The manifestation of superconductivity at low-temperatures and its disappearance above a critical temperature is explicitly shown to be due to the vortex confinement/deconfinement mechanism of Kosterlitz and Thouless. The ground state does not break parity or time-reversal symmetries and the ratio of the energy gap to $T_c$ is bigger than the conventional BCS value, for $N\ltwid 22$.

[ { "created": "Wed, 8 Sep 1993 19:07:55 GMT", "version": "v1" } ]

2010-11-01

[ [ "MacKenzie", "R.", "" ], [ "Panigrahi", "P. K.", "" ], [ "Sakhi", "S.", "" ] ]

We analyse a $2+1$ dimensional model with charged, relativistic fermions interacting through a four-Fermi term. Taking advantage of its large-$N$ renormalizability, the various phases of this model are studied at finite temperature and beyond the leading order in $1/N$. Although the vacuum expectation value (VEV) of a charged order parameter is zero at any non-zero temperature, the model nevertheless exhibits a rich phase structure in the strong coupling r\'egime, because of the non-vanishing VEV of a neutral order parameter and due to the non-trivial dynamics of the vortex excitations on the plane. These are: a confined-vortex phase which is superconducting at low temperatures, an intermediate-temperature phase with deconfined vortices, and a high-temperature phase, where the neutral order parameter vanishes. The manifestation of superconductivity at low-temperatures and its disappearance above a critical temperature is explicitly shown to be due to the vortex confinement/deconfinement mechanism of Kosterlitz and Thouless. The ground state does not break parity or time-reversal symmetries and the ratio of the energy gap to $T_c$ is bigger than the conventional BCS value, for $N\ltwid 22$.

7.366142

6.828697

7.299681

7.035384

7.420238

7.221103

7.42259

6.813586

6.626532

8.241569

7.16141

7.010584

7.278286

6.990815

7.146831

7.051827

7.019024

7.022758

6.885906

7.299632

7.010497

1606.01893

David Tong

Andreas Karch and David Tong

Particle-Vortex Duality from 3d Bosonization

21 pages. v2: references added

Phys. Rev. X 6, 031043 (2016)

10.1103/PhysRevX.6.031043

null

hep-th cond-mat.str-el

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

We provide a simple derivation of particle-vortex duality in d=2+1 dimensions. Our starting point is a relativistic form of flux attachment, designed to transmute the statistics of particles. From this seed, we derive a web of new dualities. These include particle-vortex duality for bosons as well as the recently discovered counterpart for fermions.

[ { "created": "Mon, 6 Jun 2016 20:00:00 GMT", "version": "v1" }, { "created": "Sun, 19 Jun 2016 15:42:38 GMT", "version": "v2" } ]

2016-09-28

[ [ "Karch", "Andreas", "" ], [ "Tong", "David", "" ] ]

We provide a simple derivation of particle-vortex duality in d=2+1 dimensions. Our starting point is a relativistic form of flux attachment, designed to transmute the statistics of particles. From this seed, we derive a web of new dualities. These include particle-vortex duality for bosons as well as the recently discovered counterpart for fermions.

9.328111

9.626823

9.345329

8.628886

8.406606

8.419946

8.552155

8.452233

8.460517

10.136196

8.727895

8.761042

9.697711

8.611549

8.689864

8.510676

8.767473

8.763492

8.660747

9.244285

8.542735

hep-th/0702083

Ido Adam

Ido Adam, Amit Dekel, Luca Mazzucato, Yaron Oz

Integrability of Type II Superstrings on Ramond-Ramond Backgrounds in Various Dimensions

LaTeX2e, 56 pages, 1 figure, JHEP style; v2: references added, typos fixed in some equations; v3: typos fixed to match the published version

JHEP 0706:085,2007

10.1088/1126-6708/2007/06/085

TAUP-2849/07

hep-th

null

We consider type II superstrings on AdS backgrounds with Ramond-Ramond flux in various dimensions. We realize the backgrounds as supercosets and analyze explicitly two classes of models: non-critical superstrings on AdS_{2d} and critical superstrings on AdS_p\times S^p\times CY. We work both in the Green--Schwarz and in the pure spinor formalisms. We construct a one-parameter family of flat currents (a Lax connection) leading to an infinite number of conserved non-local charges, which imply the classical integrability of both sigma-models. In the pure spinor formulation, we use the BRST symmetry to prove the quantum integrability of the sigma-model. We discuss how classical \kappa-symmetry implies one-loop conformal invariance. We consider the addition of space-filling D-branes to the pure spinor formalism.

[ { "created": "Sun, 11 Feb 2007 21:30:38 GMT", "version": "v1" }, { "created": "Sat, 12 May 2007 08:34:41 GMT", "version": "v2" }, { "created": "Wed, 26 Sep 2007 14:09:53 GMT", "version": "v3" } ]

2009-11-13

[ [ "Adam", "Ido", "" ], [ "Dekel", "Amit", "" ], [ "Mazzucato", "Luca", "" ], [ "Oz", "Yaron", "" ] ]

We consider type II superstrings on AdS backgrounds with Ramond-Ramond flux in various dimensions. We realize the backgrounds as supercosets and analyze explicitly two classes of models: non-critical superstrings on AdS_{2d} and critical superstrings on AdS_p\times S^p\times CY. We work both in the Green--Schwarz and in the pure spinor formalisms. We construct a one-parameter family of flat currents (a Lax connection) leading to an infinite number of conserved non-local charges, which imply the classical integrability of both sigma-models. In the pure spinor formulation, we use the BRST symmetry to prove the quantum integrability of the sigma-model. We discuss how classical \kappa-symmetry implies one-loop conformal invariance. We consider the addition of space-filling D-branes to the pure spinor formalism.

7.122988

7.051333

9.02542

6.774834

6.958467

6.850256

6.873692

6.928973

6.274872

8.811854

6.591397

6.84488

7.564973

6.749005

6.892902

7.004426

7.022038

6.781538

6.848813

7.710864

6.700261

hep-th/9707004

A. K. Mishra

R. P. Malik, A. K. Mishra and G. Rajasekaran

Dynamics in a noncommutative phase space

LaTeX-twice, 16 pages

Int.J.Mod.Phys.A13:4759-4776,1998

10.1142/S0217751X98002249

null

hep-th math.QA q-alg

null

Dynamics has been generalized to a noncommutative phase space. The noncommuting phase space is taken to be invariant under the quantum group $GL_{q,p}(2)$. The $q$-deformed differential calculus on the phase space is formulated and using this, both the Hamiltonian and Lagrangian forms of dynamics have been constructed. In contrast to earlier forms of $q$-dynamics, our formalism has the advantage of preserving the conventional symmetries such as rotational or Lorentz invariance.

[ { "created": "Tue, 1 Jul 1997 09:09:19 GMT", "version": "v1" } ]

2014-11-18

[ [ "Malik", "R. P.", "" ], [ "Mishra", "A. K.", "" ], [ "Rajasekaran", "G.", "" ] ]

Dynamics has been generalized to a noncommutative phase space. The noncommuting phase space is taken to be invariant under the quantum group $GL_{q,p}(2)$. The $q$-deformed differential calculus on the phase space is formulated and using this, both the Hamiltonian and Lagrangian forms of dynamics have been constructed. In contrast to earlier forms of $q$-dynamics, our formalism has the advantage of preserving the conventional symmetries such as rotational or Lorentz invariance.

7.587513

6.32677

7.444428

6.200679

6.572388

6.445274

6.29365

6.340382

6.209306

8.62471

6.532892

6.463859

6.896472

6.56839

6.524773

6.357438

6.699375

6.605946

6.456452

7.032244

6.777559

1705.06163

Timofey Snegirev

I. L. Buchbinder, T. V. Snegirev, Yu. M. Zinoviev

Lagrangian description of massive higher spin supermultiplets in AdS_3 space

22 pages, no figures; v2: comments, references and new section added, 26 pages

null

10.1007/JHEP08(2017)021

null

hep-th

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

We construct the Lagrangian formulation of massive higher spin on-shell (1,0) supermultiplets in three dimensional anti-de Sitter space. The construction is based on description of the massive three dimensional fields in terms of frame-like gauge invariant formalism and technique of gauge invariant curvatures. For the two possible massive supermultiplets (s,s+1/2) and (s,s-1/2) we derive explicit form of the supertransformations leaving the sum of bosonic and fermionic Lagrangians invariant.

[ { "created": "Wed, 17 May 2017 13:52:40 GMT", "version": "v1" }, { "created": "Mon, 24 Jul 2017 14:40:58 GMT", "version": "v2" } ]

2017-09-13

[ [ "Buchbinder", "I. L.", "" ], [ "Snegirev", "T. V.", "" ], [ "Zinoviev", "Yu. M.", "" ] ]

We construct the Lagrangian formulation of massive higher spin on-shell (1,0) supermultiplets in three dimensional anti-de Sitter space. The construction is based on description of the massive three dimensional fields in terms of frame-like gauge invariant formalism and technique of gauge invariant curvatures. For the two possible massive supermultiplets (s,s+1/2) and (s,s-1/2) we derive explicit form of the supertransformations leaving the sum of bosonic and fermionic Lagrangians invariant.

8.489458

6.199104

8.851874

6.597348

7.342061

6.541011

7.084278

7.218962

6.465509

9.481997

6.612078

6.880041

8.197615

7.282968

7.407572

7.220816

7.198925

6.983975

6.837179

8.115687

7.232783

hep-th/0512227

Albrecht Klemm

Albrecht Klemm, Marcos Marino

Counting BPS states on the Enriques Calabi-Yau

62 pages, v3: some results at genus 3 corrected, more typos corrected

Commun.Math.Phys.280:27-76,2008

10.1007/s00220-007-0407-z

CERN-PH-TH/2005-258, MAD-TH-05-9

hep-th math.AG

null

We study topological string amplitudes for the FHSV model using various techniques. This model has a type II realization involving a Calabi-Yau threefold with Enriques fibres, which we call the Enriques Calabi-Yau. By applying heterotic/type IIA duality, we compute the topological amplitudes in the fibre to all genera. It turns out that there are two different ways to do the computation that lead to topological couplings with different BPS content. One of them leads to the standard D0-D2 counting amplitudes, and from the other one we obtain information about bound states of D0-D4-D2 branes on the Enriques fibre. We also study the model using mirror symmetry and the holomorphic anomaly equations. We verify in this way the heterotic results for the D0-D2 generating functional for low genera and find closed expressions for the topological amplitudes on the total space in terms of modular forms, and up to genus four. This model turns out to be much simpler than the generic B-model and might be exactly solvable.

[ { "created": "Mon, 19 Dec 2005 07:29:34 GMT", "version": "v1" }, { "created": "Thu, 16 Feb 2006 06:10:53 GMT", "version": "v2" }, { "created": "Fri, 15 Dec 2006 14:08:45 GMT", "version": "v3" } ]

2008-11-26

[ [ "Klemm", "Albrecht", "" ], [ "Marino", "Marcos", "" ] ]

We study topological string amplitudes for the FHSV model using various techniques. This model has a type II realization involving a Calabi-Yau threefold with Enriques fibres, which we call the Enriques Calabi-Yau. By applying heterotic/type IIA duality, we compute the topological amplitudes in the fibre to all genera. It turns out that there are two different ways to do the computation that lead to topological couplings with different BPS content. One of them leads to the standard D0-D2 counting amplitudes, and from the other one we obtain information about bound states of D0-D4-D2 branes on the Enriques fibre. We also study the model using mirror symmetry and the holomorphic anomaly equations. We verify in this way the heterotic results for the D0-D2 generating functional for low genera and find closed expressions for the topological amplitudes on the total space in terms of modular forms, and up to genus four. This model turns out to be much simpler than the generic B-model and might be exactly solvable.

9.270366

7.447173

9.333736

7.285159

8.255792

7.803212

7.895318

7.370339

7.38913

9.808865

7.199358

7.773444

8.14329

7.419692

7.877573

7.728341

7.775316

7.531728

7.373756

8.2028

7.433806

hep-th/9910162

Joao Barcelos Neto

R. Amorim, J. Barcelos-Neto and C. Wotzasek

Partially embedding of the quantum mechanical analog of the nonlinear sigma model

9 pages, Revtex (multicol), revised and enlarged version

null

hep-th

null

We consider the quantum mechanical analog of the nonlinear sigma model. There are difficulties to completely embed this theory by directly using the Batalin, Fradkin, Fradkina, and Tyutin (BFFT) formalism. We show in this paper how the BFFT method can be conveniently adapted in order to achieve a gauge theory that partially embeds the model.

[ { "created": "Wed, 20 Oct 1999 16:27:49 GMT", "version": "v1" }, { "created": "Thu, 8 Jun 2000 20:33:04 GMT", "version": "v2" } ]

2007-05-23

[ [ "Amorim", "R.", "" ], [ "Barcelos-Neto", "J.", "" ], [ "Wotzasek", "C.", "" ] ]

We consider the quantum mechanical analog of the nonlinear sigma model. There are difficulties to completely embed this theory by directly using the Batalin, Fradkin, Fradkina, and Tyutin (BFFT) formalism. We show in this paper how the BFFT method can be conveniently adapted in order to achieve a gauge theory that partially embeds the model.

10.892853

9.327619

11.090378

9.225864

9.194446

10.067228

9.261428

9.20614

9.039573

12.554577

9.224626

9.406013

10.797202

9.580329

9.520424

9.558933

9.374167

9.411626

9.315592

11.503705

9.172198

1408.2185

Kengo Kikuchi

Kengo Kikuchi, Tetsuya Onogi

Generalized Gradient Flow Equation and Its Application to Super Yang-Mills Theory

35 pages, v2: typos corrected and references added, v3: published version

null

10.1007/JHEP11(2014)094

YITP-14-64, OU-HET-822

hep-th hep-lat

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

We generalize the gradient flow equation for field theories with nonlinearly realized symmetry. Applying the formalism to super Yang-Mills theory, we construct a supersymmetric extension of the gradient flow equation. It can be shown that the super gauge symmetry is preserved in the gradient flow. Furthermore, choosing an appropriate modification term to damp the gauge degrees of freedom, we obtain a gradient flow equation which is closed within the Wess-Zumino gauge.

[ { "created": "Sun, 10 Aug 2014 04:38:07 GMT", "version": "v1" }, { "created": "Tue, 26 Aug 2014 04:13:46 GMT", "version": "v2" }, { "created": "Sat, 1 Nov 2014 13:04:57 GMT", "version": "v3" } ]

2015-06-22

[ [ "Kikuchi", "Kengo", "" ], [ "Onogi", "Tetsuya", "" ] ]

We generalize the gradient flow equation for field theories with nonlinearly realized symmetry. Applying the formalism to super Yang-Mills theory, we construct a supersymmetric extension of the gradient flow equation. It can be shown that the super gauge symmetry is preserved in the gradient flow. Furthermore, choosing an appropriate modification term to damp the gauge degrees of freedom, we obtain a gradient flow equation which is closed within the Wess-Zumino gauge.

9.513386

7.862011

9.163597

7.989627

8.11095

7.740715

7.352719

7.851998

7.577338

9.262775

8.320638

8.271974

8.968382

8.420182

8.533636

8.411345

8.131021

8.120404

8.885565

9.710691

8.570014

1410.2900

Mikhail Shifman

M. Shifman, A. Yung

Lessons from supersymmetry: "Instead-of-Confinement" Mechanism

To be published in {\sl Quarks 50}, Murray Gell-Mann Festschrift, (World Scientific, Singapore, 2015). 20 pp., 3 figs

null

10.1142/S0217751X14300646

FTPI-MINN-14/33, UMN-TH-3404/14

hep-th hep-ph

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

We review physical scenarios in different vacua of N=2 supersymmetric QCD deformed by the mass term \mu for the adjoint matter. This deformation breaks supersymmetry down to N=1 and, at large \mu, the theory flows to N=1 SQCD. We focus on dynamical scenarios which can serve as prototypes of what we observe in real-world QCD. The so-called r=N vacuum is especially promising in this perspective. In this vacuum an "instead-of-confinement" phase was identified previously, which is qualitatively close to the conventional QCD confinement: the quarks and gauge bosons screened at weak coupling, at strong coupling evolve into monopole-antimonopole pairs confined by non-Abelian strings. We review genesis of this picture.

[ { "created": "Fri, 10 Oct 2014 20:08:50 GMT", "version": "v1" } ]

2015-06-23

[ [ "Shifman", "M.", "" ], [ "Yung", "A.", "" ] ]

We review physical scenarios in different vacua of N=2 supersymmetric QCD deformed by the mass term \mu for the adjoint matter. This deformation breaks supersymmetry down to N=1 and, at large \mu, the theory flows to N=1 SQCD. We focus on dynamical scenarios which can serve as prototypes of what we observe in real-world QCD. The so-called r=N vacuum is especially promising in this perspective. In this vacuum an "instead-of-confinement" phase was identified previously, which is qualitatively close to the conventional QCD confinement: the quarks and gauge bosons screened at weak coupling, at strong coupling evolve into monopole-antimonopole pairs confined by non-Abelian strings. We review genesis of this picture.

11.915851

10.315617

12.506377

10.270577

9.792069

9.72622

9.711658

10.129517

10.250613

13.438955

9.728723

10.452183

11.432228

10.537597

9.928444

10.215056

10.298264

10.254674

10.606294

11.718053

10.363924

2209.02801

Constantinos Papageorgakis

Gergely K\'antor, Vasilis Niarchos, Constantinos Papageorgakis and Paul Richmond

6D (2,0) Bootstrap with soft-Actor-Critic

30 pages, 10 figures; v2: references added

null

10.1103/PhysRevD.107.025005

null

hep-th

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

We study numerically the 6D (2,0) superconformal bootstrap using the soft-Actor-Critic (SAC) algorithm as a stochastic optimizer. We focus on the four-point functions of scalar superconformal primaries in the energy-momentum multiplet. Starting from the supergravity limit, we perform searches for adiabatically varied central charges and derive two curves for a collection of 80 CFT data (70 of these data correspond to unprotected long multiplets and 10 to protected short multiplets). We conjecture that the two curves capture the A- and D-series (2,0) theories. Our results are competitive when compared to the existing bounds coming from standard numerical bootstrap methods, and data obtained using the OPE inversion formula. With this paper we are also releasing our Python implementation of the SAC algorithm, BootSTOP. The paper discusses the main functionality features of this package.

[ { "created": "Tue, 6 Sep 2022 20:10:01 GMT", "version": "v1" }, { "created": "Fri, 30 Sep 2022 08:47:25 GMT", "version": "v2" } ]

2023-01-25

[ [ "Kántor", "Gergely", "" ], [ "Niarchos", "Vasilis", "" ], [ "Papageorgakis", "Constantinos", "" ], [ "Richmond", "Paul", "" ] ]

We study numerically the 6D (2,0) superconformal bootstrap using the soft-Actor-Critic (SAC) algorithm as a stochastic optimizer. We focus on the four-point functions of scalar superconformal primaries in the energy-momentum multiplet. Starting from the supergravity limit, we perform searches for adiabatically varied central charges and derive two curves for a collection of 80 CFT data (70 of these data correspond to unprotected long multiplets and 10 to protected short multiplets). We conjecture that the two curves capture the A- and D-series (2,0) theories. Our results are competitive when compared to the existing bounds coming from standard numerical bootstrap methods, and data obtained using the OPE inversion formula. With this paper we are also releasing our Python implementation of the SAC algorithm, BootSTOP. The paper discusses the main functionality features of this package.

15.858932

18.636221

19.359558

15.155771

16.572737

16.00614

16.522739

15.66836

16.201637

18.857038

14.37047

15.641118

15.127303

15.02294

15.141495

15.591082

14.87603

15.151747

14.61194

16.347687

15.002262

1510.03664

Erik Tonni

Piermarco Fonda, Domenico Seminara, Erik Tonni

On shape dependence of holographic entanglement entropy in AdS4/CFT3

49 pages, 11 figures

JHEP 1512 (2015) 037

10.1007/JHEP12(2015)037

null

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

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

We study the finite term of the holographic entanglement entropy of finite domains with smooth shapes and for four dimensional gravitational backgrounds. Analytic expressions depending on the unit vectors normal to the minimal area surface are obtained for both stationary and time dependent spacetimes. The special cases of AdS4, asymptotically AdS4 black holes, domain wall geometries and Vaidya-AdS backgrounds have been analysed explicitly. When the bulk spacetime is AdS4, the finite term is the Willmore energy of the minimal area surface viewed as a submanifold of the three dimensional flat Euclidean space. For the static spacetimes, some numerical checks involving spatial regions delimited by ellipses and non convex domains have been performed. In the case of AdS4, the infinite wedge has been also considered, recovering the known analytic formula for the coefficient of the logarithmic divergence.

[ { "created": "Tue, 13 Oct 2015 13:32:22 GMT", "version": "v1" } ]

2015-12-22

[ [ "Fonda", "Piermarco", "" ], [ "Seminara", "Domenico", "" ], [ "Tonni", "Erik", "" ] ]

We study the finite term of the holographic entanglement entropy of finite domains with smooth shapes and for four dimensional gravitational backgrounds. Analytic expressions depending on the unit vectors normal to the minimal area surface are obtained for both stationary and time dependent spacetimes. The special cases of AdS4, asymptotically AdS4 black holes, domain wall geometries and Vaidya-AdS backgrounds have been analysed explicitly. When the bulk spacetime is AdS4, the finite term is the Willmore energy of the minimal area surface viewed as a submanifold of the three dimensional flat Euclidean space. For the static spacetimes, some numerical checks involving spatial regions delimited by ellipses and non convex domains have been performed. In the case of AdS4, the infinite wedge has been also considered, recovering the known analytic formula for the coefficient of the logarithmic divergence.

10.707432

9.699059

11.279289

9.408077

9.51051

9.052434

9.699152

9.402895

9.36203

11.45006

9.650131

9.481175

10.547184

9.760484

9.593625

9.537151

9.287581

9.664062

9.525115

10.232903

9.538212

2307.10378

Kiril Hristov

Kiril Hristov and Minwoo Suh

Spindle black holes in AdS$_4 \times$SE$_7$

40 pages, 2 figures, 1 Mathematica file; v2: minor corrections

null

hep-th

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

We construct new classes of supersymmetric AdS$_2 \times {\Sigma}$ solutions of 4d gauged supergravity in presence of charged hypermultiplet scalars, with ${\Sigma}$ the complex weighted projective space known as a spindle. These solutions can be viewed as near-horizon geometries of asymptotically Anti de-Sitter (AdS$_4$) black holes with magnetic fluxes that admit embedding in 11d on Sasaki-Einstein (SE$_7$) manifolds, which renders them of holographic interest. We show that in each case the Bekenstein-Hawking entropy follows from the procedure of gluing two gravitational blocks, ultimately determined by SE$_7$ data. This allows us to establish the general form of the gravitational blocks in gauged 4d ${\mathcal N} =2$ supergravity with charged scalars and massive vectors. Holographically, our results provide a large N answer for the spindle index with anti-twist and additional mesonic or baryonic fluxes of a number of ${\mathcal N} =2$ Chern-Simons-matter theories.

[ { "created": "Wed, 19 Jul 2023 18:00:04 GMT", "version": "v1" }, { "created": "Mon, 30 Oct 2023 16:03:03 GMT", "version": "v2" } ]

2023-10-31

[ [ "Hristov", "Kiril", "" ], [ "Suh", "Minwoo", "" ] ]

We construct new classes of supersymmetric AdS$_2 \times {\Sigma}$ solutions of 4d gauged supergravity in presence of charged hypermultiplet scalars, with ${\Sigma}$ the complex weighted projective space known as a spindle. These solutions can be viewed as near-horizon geometries of asymptotically Anti de-Sitter (AdS$_4$) black holes with magnetic fluxes that admit embedding in 11d on Sasaki-Einstein (SE$_7$) manifolds, which renders them of holographic interest. We show that in each case the Bekenstein-Hawking entropy follows from the procedure of gluing two gravitational blocks, ultimately determined by SE$_7$ data. This allows us to establish the general form of the gravitational blocks in gauged 4d ${\mathcal N} =2$ supergravity with charged scalars and massive vectors. Holographically, our results provide a large N answer for the spindle index with anti-twist and additional mesonic or baryonic fluxes of a number of ${\mathcal N} =2$ Chern-Simons-matter theories.

8.359032

7.388791

9.043408

7.556584

7.880525

7.392003

7.631049

7.632345

7.589539

10.964386

7.711342

8.236346

8.629244

8.085988

8.557738

7.878644

8.166307

8.2726

8.007178

8.989541

7.971015

hep-th/0110296

Peter Gillan

General Relativity Contains the Standard Model

57 pages, no figures, LaTex, improved derivation for actual fine structure constant (again), elementary tensor particles predicted, added section on so-called Higgs boson

null

hep-th

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

The Standard Model plus gravitation is derived from general relativity with three dimensions of time. I claim that when the Lagrangian for general relativity is calculated using three dimensions of time, the unified field theory results. I call it 3D time, which stands for three dimensions of time. This theory differs from other higher-dimensional theories because it allows fields to depend upon the higher-dimensional coordinates. It shows how predictions at the Planck mass can be tested at low energies. The hierarchy problem is solved using an equation found in a classic textbook. The theory of 3D time provides an explanation for the masses of the electron, muon and tau, the value of the fine structure constant, the masses of the neutrinos of the electron, muon and tau and the masses of the W and Z and the photon. Quark confinement and asymptotic freedom are produced. The relationship between quantum mechanics and general relativity is demonstrated. All fields come from the same place, the metric tensor. 3D time predicts there are no supersymmetric particles. Instead, it predicts that there are seven new intermediate vector bosons with the approximate masses 4.56 TeV, 7.32 TeV, 27.36 TeV, 29.43 TeV, 31.22 TeV, 33.04 TeV and 38.79 TeV. Elementary tensor particles, one of which has a mass of about 58 GeV, are predicted.

[ { "created": "Wed, 31 Oct 2001 15:08:06 GMT", "version": "v1" }, { "created": "Wed, 2 Nov 2005 15:36:02 GMT", "version": "v2" }, { "created": "Wed, 29 Sep 2010 14:23:21 GMT", "version": "v3" }, { "created": "Mon, 13 Oct 2014 15:34:05 GMT", "version": "v4" } ]

2014-10-14

[ [ "Gillan", "Peter", "" ] ]

The Standard Model plus gravitation is derived from general relativity with three dimensions of time. I claim that when the Lagrangian for general relativity is calculated using three dimensions of time, the unified field theory results. I call it 3D time, which stands for three dimensions of time. This theory differs from other higher-dimensional theories because it allows fields to depend upon the higher-dimensional coordinates. It shows how predictions at the Planck mass can be tested at low energies. The hierarchy problem is solved using an equation found in a classic textbook. The theory of 3D time provides an explanation for the masses of the electron, muon and tau, the value of the fine structure constant, the masses of the neutrinos of the electron, muon and tau and the masses of the W and Z and the photon. Quark confinement and asymptotic freedom are produced. The relationship between quantum mechanics and general relativity is demonstrated. All fields come from the same place, the metric tensor. 3D time predicts there are no supersymmetric particles. Instead, it predicts that there are seven new intermediate vector bosons with the approximate masses 4.56 TeV, 7.32 TeV, 27.36 TeV, 29.43 TeV, 31.22 TeV, 33.04 TeV and 38.79 TeV. Elementary tensor particles, one of which has a mass of about 58 GeV, are predicted.

7.920282

8.934346

8.481853

8.314474

8.551967

8.80581

8.545039

7.981859

8.124407

8.708483

7.86992

7.766326

8.03159

7.938134

7.66373

7.813789

7.827028

7.831477

7.809981

7.952995

7.71778

1709.02213

Pavol Severa

Pavol \v{S}evera

On integrability of 2-dimensional $\sigma$-models of Poisson-Lie type

7 pages

null

10.1007/JHEP11(2017)015

null

hep-th

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

We describe a simple procedure for constructing a Lax pair for suitable 2-dimensional $\sigma$-models appearing in Poisson-Lie T-duality

[ { "created": "Thu, 7 Sep 2017 12:49:39 GMT", "version": "v1" } ]

2017-12-06

[ [ "Ševera", "Pavol", "" ] ]

We describe a simple procedure for constructing a Lax pair for suitable 2-dimensional $\sigma$-models appearing in Poisson-Lie T-duality

15.538427

9.121284

13.726051

9.27686

10.410952

10.372752

9.190722

9.431069

9.511231

11.286427

10.180054

11.8675

12.352737

11.035384

11.441101

11.525778

11.305191

11.046432

11.606422

12.534969

11.289083

1004.5503

Alfredo Perez

Ricardo Caroca, Nelson Merino, Alfredo P\'erez and Patricio Salgado

Generating Higher-Order Lie Algebras by Expanding Maurer Cartan Forms

null

Journal of Mathematical Physics 50, 123527 (2009)

10.1063/1.3272997

null

hep-th

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

By means of a generalization of the Maurer-Cartan expansion method we construct a procedure to obtain expanded higher-order Lie algebras. The expanded higher order Maurer-Cartan equations for the case $\mathcal{G}=V_{0}\oplus V_{1}$ are found. A dual formulation for the S-expansion multialgebra procedure is also considered. The expanded higher order Maurer Cartan equations are recovered from S-expansion formalism by choosing a special semigroup. This dual method could be useful in finding a generalization to the case of a generalized free differential algebra, which may be relevant for physical applications in, e.g., higher-spin gauge theories.

[ { "created": "Fri, 30 Apr 2010 11:28:22 GMT", "version": "v1" } ]

2015-03-17

[ [ "Caroca", "Ricardo", "" ], [ "Merino", "Nelson", "" ], [ "Pérez", "Alfredo", "" ], [ "Salgado", "Patricio", "" ] ]

By means of a generalization of the Maurer-Cartan expansion method we construct a procedure to obtain expanded higher-order Lie algebras. The expanded higher order Maurer-Cartan equations for the case $\mathcal{G}=V_{0}\oplus V_{1}$ are found. A dual formulation for the S-expansion multialgebra procedure is also considered. The expanded higher order Maurer Cartan equations are recovered from S-expansion formalism by choosing a special semigroup. This dual method could be useful in finding a generalization to the case of a generalized free differential algebra, which may be relevant for physical applications in, e.g., higher-spin gauge theories.

10.656146

10.112497

11.779046

10.244447

9.913967

10.046579

9.232496

10.422085

9.82205

12.121623

10.151677

9.70059

10.73653

10.034626

9.711749

9.825923

9.543029

10.233674

10.01028

10.720401

9.89941

hep-th/0512135

Amanda Weltman

Brian R. Greene and Amanda Weltman

An Effect of $\alpha'$ Corrections on Racetrack Inflation

13 pages, 4 figures. Typos corrected, references added, this version to appear in JHEP

JHEP 0603 (2006) 035

10.1088/1126-6708/2006/03/035

null

hep-th

null

We study the effects of $ \alpha '$ corrections to the K\"ahler potential on volume stabilisation and racetrack inflation. In a region where classical supergravity analysis is justified, stringy corrections can nevertheless be relevant for correctly analyzing moduli stabilisation and the onset of inflation.

[ { "created": "Tue, 13 Dec 2005 04:09:00 GMT", "version": "v1" }, { "created": "Tue, 28 Feb 2006 21:27:12 GMT", "version": "v2" } ]

2009-11-11

[ [ "Greene", "Brian R.", "" ], [ "Weltman", "Amanda", "" ] ]

We study the effects of $ \alpha '$ corrections to the K\"ahler potential on volume stabilisation and racetrack inflation. In a region where classical supergravity analysis is justified, stringy corrections can nevertheless be relevant for correctly analyzing moduli stabilisation and the onset of inflation.

16.360096

12.336934

13.92189

12.66137

13.140201

13.724978

11.775812

12.965681

11.721493

13.83756

13.12738

13.435832

15.665548

12.951518

13.38326

13.152716

13.057655

12.664564

13.71631

14.329864

12.986122

hep-th/0501009

Maria Emilia Guimaraes

A. A. Bytsenko (DF/Uel), M. E. X. Guimaraes (MAT/Unb) and V. S. Mendes (DF/Uel)

Casimir Effect for Gauge Fields in Spaces with Negative Constant Curvature

5 pages, no figures. To appear in The European Physical Journal C - Particles and Fields

Eur.Phys.J. C39 (2005) 249-252

10.1140/epjc/s2004-02080-3

null

hep-th

null

We consider gauge theories based on abelian $p-$forms on real compact hyperbolic spaces. Using the zeta-function regularization method and the trace tensor kernel formula, we determine explicitly an expression for the vacuum energy (Casimir energy) corresponding to skew-symmetric tensor fields. It is shown that the topological component of the Casimir energy for co-exact forms on even-dimensional spaces, associated with the trivial character, is always negative. We infer on the possible cosmological consequences of this result.

[ { "created": "Mon, 3 Jan 2005 11:25:10 GMT", "version": "v1" } ]

2009-11-11

[ [ "Bytsenko", "A. A.", "", "DF/Uel" ], [ "Guimaraes", "M. E. X.", "", "MAT/Unb" ], [ "Mendes", "V. S.", "", "DF/Uel" ] ]

We consider gauge theories based on abelian $p-$forms on real compact hyperbolic spaces. Using the zeta-function regularization method and the trace tensor kernel formula, we determine explicitly an expression for the vacuum energy (Casimir energy) corresponding to skew-symmetric tensor fields. It is shown that the topological component of the Casimir energy for co-exact forms on even-dimensional spaces, associated with the trivial character, is always negative. We infer on the possible cosmological consequences of this result.

15.146238

12.477601

14.944269

12.454519

11.833225

12.709909

11.9143

12.759022

12.730211

14.624064

12.302058

13.334707

14.306302

13.665493

13.489773

13.387632

13.497178

13.883643

13.924639

14.788316

13.657201

0710.5372

Robert de Mello Koch

David Bekker, Robert de Mello Koch and Michael Stephanou

Giant Gravitons - with Strings Attached (III)

66 pages; v2: improved presentation

JHEP 0802:029,2008

10.1088/1126-6708/2008/02/029

WITS-CTP-033

hep-th

null

We develop techniques to compute the one-loop anomalous dimensions of operators in the ${\cal N}=4$ super Yang-Mills theory that are dual to open strings ending on boundstates of sphere giant gravitons. Our results, which are applicable to excitations involving an arbitrary number of open strings, generalize the single string results of hep-th/0701067. The open strings we consider carry angular momentum on an S$^3$ embedded in the S$^5$ of the AdS$_5\times$S$^5$ background. The problem of computing the one loop anomalous dimensions is replaced with the problem of diagonalizing an interacting Cuntz oscillator Hamiltonian. Our Cuntz oscillator dynamics illustrates how the Chan-Paton factors for open strings propagating on multiple branes can arise dynamically.

[ { "created": "Mon, 29 Oct 2007 10:31:40 GMT", "version": "v1" }, { "created": "Sun, 13 Jan 2008 11:41:38 GMT", "version": "v2" } ]

2009-05-20

[ [ "Bekker", "David", "" ], [ "Koch", "Robert de Mello", "" ], [ "Stephanou", "Michael", "" ] ]

We develop techniques to compute the one-loop anomalous dimensions of operators in the ${\cal N}=4$ super Yang-Mills theory that are dual to open strings ending on boundstates of sphere giant gravitons. Our results, which are applicable to excitations involving an arbitrary number of open strings, generalize the single string results of hep-th/0701067. The open strings we consider carry angular momentum on an S$^3$ embedded in the S$^5$ of the AdS$_5\times$S$^5$ background. The problem of computing the one loop anomalous dimensions is replaced with the problem of diagonalizing an interacting Cuntz oscillator Hamiltonian. Our Cuntz oscillator dynamics illustrates how the Chan-Paton factors for open strings propagating on multiple branes can arise dynamically.

7.776505

6.349266

8.447986

6.919879

6.760695

6.906224

6.708635

6.660763

6.571868

9.72166

6.740592

7.064443

7.729777

6.851377

7.145884

7.20618

7.306048

6.914913

7.072496

7.790645

7.066957

hep-th/9410075

M. Yoshimura

M.Yoshimura

Time Evolution of Pure Quantum State and Emergence of A Nearly Thermal State

10 pages, TU/94/468

null

hep-th gr-qc

null

Dynamical evolution of the quantum ground state (vacuum) is analyzed for time variant harmonic oscillators characterized by asymptotically constant frequency. The oscillatory density matrix in the asymptotic future is uniquely determined by a constant number of produced particles, independent of other details of transient behavior at intermediate times. Time average over one oscillation period yields a classical, in some cases even an almost thermal behavior. In an analytically soluble model the created particle number obeys the Planck distribution in a parameter limit. This suggests a new way of understanding the Gibbons-Hawking temperature in the de Sitter spacetime.

[ { "created": "Tue, 11 Oct 1994 07:24:30 GMT", "version": "v1" } ]

2007-05-23

[ [ "Yoshimura", "M.", "" ] ]

Dynamical evolution of the quantum ground state (vacuum) is analyzed for time variant harmonic oscillators characterized by asymptotically constant frequency. The oscillatory density matrix in the asymptotic future is uniquely determined by a constant number of produced particles, independent of other details of transient behavior at intermediate times. Time average over one oscillation period yields a classical, in some cases even an almost thermal behavior. In an analytically soluble model the created particle number obeys the Planck distribution in a parameter limit. This suggests a new way of understanding the Gibbons-Hawking temperature in the de Sitter spacetime.

19.232365

19.418591

17.161659

15.140927

16.943045

15.869872

16.399162

14.938323

15.505239

18.946852

16.599188

15.67312

16.089787

15.823748

15.756199

16.088144

15.811804

16.360989

16.006247

16.245977

16.670034

1702.04754

J. David Vergara

Carlos A. Margalli and J. David Vergara

Gauge Freedom in complex holomorphic systems

18 pages

null

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

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

The aim of this paper is to introduce and analyze a new gauge symmetry that appears in complex holomorphic systems. This symmetry allow us to project the system, using different gauge conditions, to several real systems which are connect by gauge transformations in the complex space. We prove that the space of solutions of one system is related to the other by the gauge transformation. The gauge transformations are in some cases canonical transformations. However, in other cases are more general transformations that change the symplectic structure, but there is still a map between the systems. In this way our construction extend the group of canonical transformations in classical mechanics. Also, we show how to extend the analysis to the quantum case using path integrals by means of the Batalin-Fradkin-Vilkovisky theorem and within the canonical formalism, where we show explicitly that solutions of the Schr\"odinger equation are gauge related.

[ { "created": "Wed, 15 Feb 2017 19:54:30 GMT", "version": "v1" } ]

2017-02-17

[ [ "Margalli", "Carlos A.", "" ], [ "Vergara", "J. David", "" ] ]

The aim of this paper is to introduce and analyze a new gauge symmetry that appears in complex holomorphic systems. This symmetry allow us to project the system, using different gauge conditions, to several real systems which are connect by gauge transformations in the complex space. We prove that the space of solutions of one system is related to the other by the gauge transformation. The gauge transformations are in some cases canonical transformations. However, in other cases are more general transformations that change the symplectic structure, but there is still a map between the systems. In this way our construction extend the group of canonical transformations in classical mechanics. Also, we show how to extend the analysis to the quantum case using path integrals by means of the Batalin-Fradkin-Vilkovisky theorem and within the canonical formalism, where we show explicitly that solutions of the Schr\"odinger equation are gauge related.

9.864811

9.401521

9.858771

9.304627

10.075354

9.255437

9.249547

8.978496

9.205747

11.12769

9.11716

9.364296

9.922786

9.413247

9.504286

9.388453

9.237525

9.194849

9.345991

9.839559

9.409977

hep-th/0408162

Joe Polchinski

Nelia Mann and Joseph Polchinski

Finite Density States in Integrable Conformal Field Theories

21 pages. To appear in "From Fields to Strings: Circumnavigating Theoretical Physics," in memory of Ian Kogan. v. 2: added references

null

10.1142/9789812775344_0031

NSF-KITP-04-101

hep-th

null

We study states of large charge density in integrable conformal coset models. For the O(2) coset, we consider two different S-matrices, one corresponding to a Thirring mass perturbation and the other to the continuation to O(2+epsilon). The former leads to simplification in the conformal limit; the latter gives a more complicated description of the O(2) system, with a large zero mode sector in addition to the right- and left-movers. We argue that for the conformal O(2+2M|2M) supergroup coset, the S-matrix is given by the analog of the O(2+epsilon) construction.

[ { "created": "Fri, 20 Aug 2004 19:17:43 GMT", "version": "v1" }, { "created": "Thu, 2 Dec 2004 20:11:12 GMT", "version": "v2" } ]

2016-11-23

[ [ "Mann", "Nelia", "" ], [ "Polchinski", "Joseph", "" ] ]

We study states of large charge density in integrable conformal coset models. For the O(2) coset, we consider two different S-matrices, one corresponding to a Thirring mass perturbation and the other to the continuation to O(2+epsilon). The former leads to simplification in the conformal limit; the latter gives a more complicated description of the O(2) system, with a large zero mode sector in addition to the right- and left-movers. We argue that for the conformal O(2+2M|2M) supergroup coset, the S-matrix is given by the analog of the O(2+epsilon) construction.

10.877532

11.566135

11.822027

10.228908

11.8788

11.159954

12.333888

10.526889

10.593087

13.478363

10.56862

10.506234

11.43676

10.177127

10.281894

10.585596

10.460196

10.757652

10.223724

11.413049

10.33675

1310.6966

Salah Haouat

S. Haouat and K. Nouicer

Influence of a Minimal Length on the Creation of Scalar Particles

significant improvement, 24 pages, 1 figure, Accepted for publication in prd

Phys. Rev. D 89, 105030 (2014)

10.1103/PhysRevD.89.105030

null

hep-th

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

In this paper we have studied the problem of scalar particles pair creation by an electric field in the presence of a minimal length. Two sets of exact solutions for the Klein Gordon equation are given in momentum space. Then the canonical method based on Bogoliubov transformation connecting the "in" with the "out" states is applied to calculate the probability to create a pair of particles and the mean number of created particles. The number of created particles per unit of time per unit of length, which is related directly to the experimental measurements, is calculated. It is shown that, with an electric field less than the critical value, the minimal length minimizes the particle creation. It is shown, also, that the limit of zero minimal length reproduces the known results corresponding to the ordinary quantum fields.

[ { "created": "Fri, 25 Oct 2013 15:54:49 GMT", "version": "v1" }, { "created": "Tue, 20 May 2014 19:47:35 GMT", "version": "v2" } ]

2014-06-11

[ [ "Haouat", "S.", "" ], [ "Nouicer", "K.", "" ] ]

In this paper we have studied the problem of scalar particles pair creation by an electric field in the presence of a minimal length. Two sets of exact solutions for the Klein Gordon equation are given in momentum space. Then the canonical method based on Bogoliubov transformation connecting the "in" with the "out" states is applied to calculate the probability to create a pair of particles and the mean number of created particles. The number of created particles per unit of time per unit of length, which is related directly to the experimental measurements, is calculated. It is shown that, with an electric field less than the critical value, the minimal length minimizes the particle creation. It is shown, also, that the limit of zero minimal length reproduces the known results corresponding to the ordinary quantum fields.

7.626203

7.045013

6.658797

6.71525

6.643004

6.833127

7.146049

6.267797

6.656843

7.201429

6.858586

7.020485

6.998537

6.81083

6.992379

7.020721

6.93885

7.11249

6.704779

6.963468

7.10334

0803.2998

Mukund Rangamani

Pau Figueras, Hari K Kunduri, James Lucietti, Mukund Rangamani

Extremal vacuum black holes in higher dimensions

53 pages, latex, 19 eps figures. v2: added refs + one eps figure. v3: published version

Phys.Rev.D78:044042,2008

10.1103/PhysRevD.78.044042

null

hep-th gr-qc

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

We consider extremal black hole solutions to the vacuum Einstein equations in dimensions greater than five. We prove that the near-horizon geometry of any such black hole must possess an SO(2,1) symmetry in a special case where one has an enhanced rotational symmetry group. We construct examples of vacuum near-horizon geometries using the extremal Myers-Perry black holes and boosted Myers-Perry strings. The latter lead to near-horizon geometries of black ring topology, which in odd spacetime dimensions have the correct number rotational symmetries to describe an asymptotically flat black object. We argue that a subset of these correspond to the near-horizon limit of asymptotically flat extremal black rings. Using this identification we provide a conjecture for the exact ``phase diagram'' of extremal vacuum black rings with a connected horizon in odd spacetime dimensions greater than five.

[ { "created": "Thu, 20 Mar 2008 13:12:43 GMT", "version": "v1" }, { "created": "Fri, 4 Apr 2008 13:19:38 GMT", "version": "v2" }, { "created": "Thu, 25 Sep 2008 16:43:46 GMT", "version": "v3" } ]

2008-11-26

[ [ "Figueras", "Pau", "" ], [ "Kunduri", "Hari K", "" ], [ "Lucietti", "James", "" ], [ "Rangamani", "Mukund", "" ] ]

We consider extremal black hole solutions to the vacuum Einstein equations in dimensions greater than five. We prove that the near-horizon geometry of any such black hole must possess an SO(2,1) symmetry in a special case where one has an enhanced rotational symmetry group. We construct examples of vacuum near-horizon geometries using the extremal Myers-Perry black holes and boosted Myers-Perry strings. The latter lead to near-horizon geometries of black ring topology, which in odd spacetime dimensions have the correct number rotational symmetries to describe an asymptotically flat black object. We argue that a subset of these correspond to the near-horizon limit of asymptotically flat extremal black rings. Using this identification we provide a conjecture for the exact ``phase diagram'' of extremal vacuum black rings with a connected horizon in odd spacetime dimensions greater than five.

7.098252

7.204572

7.127289

6.859892

7.058743

7.288759

7.311663

6.896976

7.17457

8.30897

7.208754

7.215321

6.900285

7.05089

6.913311

7.131958

7.387158

6.977723

7.144806

7.22383

6.976989

hep-th/9111017

null

C. Vafa

Topological Mirrors and Quantum Rings

24 p

null

hep-th

null

Aspects of duality and mirror symmetry in string theory are discussed. We emphasize, through examples, the importance of loop spaces for a deeper understanding of the geometrical origin of dualities in string theory. Moreover we show that mirror symmetry can be reformulated in very simple terms as the statement of equivalence of two classes of topological theories: Topological sigma models and topological Landau-Ginzburg models. Some suggestions are made for generalization of the notion of mirror symmetry.

[ { "created": "Thu, 7 Nov 1991 17:19:12 GMT", "version": "v1" } ]

2007-05-23

[ [ "Vafa", "C.", "" ] ]

Aspects of duality and mirror symmetry in string theory are discussed. We emphasize, through examples, the importance of loop spaces for a deeper understanding of the geometrical origin of dualities in string theory. Moreover we show that mirror symmetry can be reformulated in very simple terms as the statement of equivalence of two classes of topological theories: Topological sigma models and topological Landau-Ginzburg models. Some suggestions are made for generalization of the notion of mirror symmetry.

7.802418

7.362818

8.185992

7.027758

7.610777

6.839766

7.051656

6.899838

6.990483

8.205078

6.847723

6.736426

7.427722

6.802553

6.907925

6.917728

6.74824

6.788671

6.903978

7.327637

6.790781

hep-th/9805056

Michael Bershadsky

Michael Bershadsky, Tony Pantev and Vladimir Sadov

F-Theory with Quantized Fluxes

41 pages, harvmac, 35 figures, references corrected

Adv.Theor.Math.Phys. 3 (1999) 727-773

null

HUTP-98/A029

hep-th

null

We present evidence that the CHL string in eight dimensions is dual to F-theory compactified on an elliptic K3 with a $\Gamma_{0}(2)$ monodromy group. The monodromy group $\Gamma_{0}(2)$ allows one to turn on the flux of an antisymmetric two form along the base. The $B_{\mu \nu}$ flux is quantized and therefore the moduli space of the CHL string is disconnected from the moduli space of F-theory/Heterotic strings (as expected). The non-zero $B_{\mu \nu}$ flux obstructs certain deformations restricting the moduli of elliptic K3 to a 10 dimensional moduli space. We also discuss how one can reconstruct the gauge groups from the elliptic fibration structure.

[ { "created": "Mon, 11 May 1998 14:01:02 GMT", "version": "v1" }, { "created": "Thu, 28 May 1998 17:36:59 GMT", "version": "v2" } ]

2007-05-23

[ [ "Bershadsky", "Michael", "" ], [ "Pantev", "Tony", "" ], [ "Sadov", "Vladimir", "" ] ]

We present evidence that the CHL string in eight dimensions is dual to F-theory compactified on an elliptic K3 with a $\Gamma_{0}(2)$ monodromy group. The monodromy group $\Gamma_{0}(2)$ allows one to turn on the flux of an antisymmetric two form along the base. The $B_{\mu \nu}$ flux is quantized and therefore the moduli space of the CHL string is disconnected from the moduli space of F-theory/Heterotic strings (as expected). The non-zero $B_{\mu \nu}$ flux obstructs certain deformations restricting the moduli of elliptic K3 to a 10 dimensional moduli space. We also discuss how one can reconstruct the gauge groups from the elliptic fibration structure.

7.653307

6.771567

7.361232

6.890102

7.183774

6.601455

7.148407

7.219487

6.971592

8.579517

6.71231

7.006962

7.078585

6.897254

7.026051

6.986548

6.986443

7.119608

6.726661

7.4149

7.020135

1708.08470

Robert Penna

Robert F. Penna

${\rm BMS}_3$ invariant fluid dynamics at null infinity

15 pages

null

10.1088/1361-6382/aaa3aa

null

hep-th gr-qc

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

We revisit the boundary dynamics of asymptotically flat, three dimensional gravity. The boundary is governed by a momentum conservation equation and an energy conservation equation, which we interpret as fluid equations, following the membrane paradigm. We reformulate the boundary's equations of motion as Hamiltonian flow on the dual of an infinite-dimensional, semi-direct product Lie algebra equipped with a Lie-Poisson bracket. This gives the analogue for boundary fluid dynamics of the Marsden-Ratiu-Weinstein formulation of the compressible Euler equations on a manifold, $M$, as Hamiltonian flow on the dual of the Lie algebra of ${\rm Diff}(M)\ltimes C^\infty(M)$. The Lie group for boundary fluid dynamics turns out to be ${\rm Diff}(S^1) \ltimes_{\rm Ad} {\rm \mathfrak{vir}}$, with central charge $c=3/G$. This gives a new derivation of the centrally extended, three-dimensional Bondi-van der Burg-Metzner-Sachs (${\rm BMS}_3$) group. The relationship with fluid dynamics helps to streamline and physically motivate the derivation. For example, the central charge, $c=3/G$, is simply read off of a fluid equation in much the same way as one reads off a viscosity coefficient. The perspective presented here may useful for understanding the still mysterious four-dimensional BMS group.

[ { "created": "Mon, 28 Aug 2017 18:01:19 GMT", "version": "v1" }, { "created": "Thu, 4 Jan 2018 14:28:35 GMT", "version": "v2" } ]

2018-02-14

[ [ "Penna", "Robert F.", "" ] ]

We revisit the boundary dynamics of asymptotically flat, three dimensional gravity. The boundary is governed by a momentum conservation equation and an energy conservation equation, which we interpret as fluid equations, following the membrane paradigm. We reformulate the boundary's equations of motion as Hamiltonian flow on the dual of an infinite-dimensional, semi-direct product Lie algebra equipped with a Lie-Poisson bracket. This gives the analogue for boundary fluid dynamics of the Marsden-Ratiu-Weinstein formulation of the compressible Euler equations on a manifold, $M$, as Hamiltonian flow on the dual of the Lie algebra of ${\rm Diff}(M)\ltimes C^\infty(M)$. The Lie group for boundary fluid dynamics turns out to be ${\rm Diff}(S^1) \ltimes_{\rm Ad} {\rm \mathfrak{vir}}$, with central charge $c=3/G$. This gives a new derivation of the centrally extended, three-dimensional Bondi-van der Burg-Metzner-Sachs (${\rm BMS}_3$) group. The relationship with fluid dynamics helps to streamline and physically motivate the derivation. For example, the central charge, $c=3/G$, is simply read off of a fluid equation in much the same way as one reads off a viscosity coefficient. The perspective presented here may useful for understanding the still mysterious four-dimensional BMS group.

7.472633

8.104548

7.948593

7.363751

8.397665

7.987227

8.216026

7.390055

7.374527

9.502256

7.574923

7.445204

7.115241

7.292682

7.364547

7.395969

7.4486

7.273571

7.344735

7.371822

7.137116

1509.08738

Yuxuan Peng

Li-Ming Cao, Yuxuan Peng

Counterterms in Massive Gravity Theory

revtex4, 13pages, no figure. The form of the counterterms slightly changed and some formulae corrected. 2 citations added. Language slightly modified

Phys. Rev. D 92, 124052 (2015)

10.1103/PhysRevD.92.124052

ICTS-USTC-15-11

hep-th gr-qc

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

We derived local boundary counterterms in massive gravity theory with a negative cosmological constant in four dimensions. With these counterterms at hand we analyzed the properties of the boundary field theory in the context of AdS/CFT duality by calculating the boundary stress energy tensor. The calculation shows that the boundary stress energy tensor is conserved, and momentum dissipation might occur on the level of linear response only. We also calculated the thermodynamic quantities and the boundary stress energy tensor for a specific type of solutions. The thermodynamic potentials agree with the results of literature up to some constants which can be removed by adding finite counterterms.

[ { "created": "Tue, 29 Sep 2015 13:28:24 GMT", "version": "v1" }, { "created": "Mon, 2 Nov 2015 11:31:41 GMT", "version": "v2" } ]

2015-12-30

[ [ "Cao", "Li-Ming", "" ], [ "Peng", "Yuxuan", "" ] ]

We derived local boundary counterterms in massive gravity theory with a negative cosmological constant in four dimensions. With these counterterms at hand we analyzed the properties of the boundary field theory in the context of AdS/CFT duality by calculating the boundary stress energy tensor. The calculation shows that the boundary stress energy tensor is conserved, and momentum dissipation might occur on the level of linear response only. We also calculated the thermodynamic quantities and the boundary stress energy tensor for a specific type of solutions. The thermodynamic potentials agree with the results of literature up to some constants which can be removed by adding finite counterterms.

10.163651

9.947735

10.742438

8.909684

10.237417

9.769466

9.510971

9.4443

9.090371

10.661097

9.128182

8.920394

9.606053

9.427919

9.401252

9.108254

9.027527

9.345108

9.102712

10.044849

9.023688

2312.11660

Ant\'onio Antunes

Ant\'onio Antunes, Sebastian Harris, Apratim Kaviraj, Volker Schomerus

Lining up a Positive Semi-Definite Six-Point Bootstrap

45 pages + appendices, 13 figures; v2: added references, minor clarifications and details on numerical implementation, matches JHEP version

JHEP06(2024)058

10.1007/JHEP06(2024)058

DESY-23-220

hep-th

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

In this work we initiate a positive semi-definite numerical bootstrap program for multi-point correlators. Considering six-point functions of operators on a line we reformulate the crossing symmetry equation for a pair of comb-channel expansions as a semi-definite programming problem. We provide two alternative formulations of this problem. At least one of them turns out to be amenable to numerical implementation. Through a combination of analytical and numerical techniques we obtain rigorous bounds on CFT data in the triple-twist channel for several examples.

[ { "created": "Mon, 18 Dec 2023 19:13:09 GMT", "version": "v1" }, { "created": "Thu, 13 Jun 2024 16:26:21 GMT", "version": "v2" } ]

2024-06-19

[ [ "Antunes", "António", "" ], [ "Harris", "Sebastian", "" ], [ "Kaviraj", "Apratim", "" ], [ "Schomerus", "Volker", "" ] ]

In this work we initiate a positive semi-definite numerical bootstrap program for multi-point correlators. Considering six-point functions of operators on a line we reformulate the crossing symmetry equation for a pair of comb-channel expansions as a semi-definite programming problem. We provide two alternative formulations of this problem. At least one of them turns out to be amenable to numerical implementation. Through a combination of analytical and numerical techniques we obtain rigorous bounds on CFT data in the triple-twist channel for several examples.

16.035662

13.467584

16.801407

12.446658

13.020926

12.553679

12.967659

12.010837

11.945579

18.67601

13.813813

12.715642

15.375095

13.400152

13.669644

12.944981

13.149225

13.941032

13.402696

14.958324

13.758193

2101.02209

Yue Li

Vijay Balasubramanian, Matthew DeCross, Arjun Kar, Cathy Li, Onkar Parrikar

Complexity Growth in Integrable and Chaotic Models

70+13 pages, 29 figures

null

10.1007/JHEP07(2021)011

null

hep-th cs.CC quant-ph

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

We use the SYK family of models with $N$ Majorana fermions to study the complexity of time evolution, formulated as the shortest geodesic length on the unitary group manifold between the identity and the time evolution operator, in free, integrable, and chaotic systems. Initially, the shortest geodesic follows the time evolution trajectory, and hence complexity grows linearly in time. We study how this linear growth is eventually truncated by the appearance and accumulation of conjugate points, which signal the presence of shorter geodesics intersecting the time evolution trajectory. By explicitly locating such "shortcuts" through analytical and numerical methods, we demonstrate that: (a) in the free theory, time evolution encounters conjugate points at a polynomial time; consequently complexity growth truncates at $O(\sqrt{N})$, and we find an explicit operator which "fast-forwards" the free $N$-fermion time evolution with this complexity, (b) in a class of interacting integrable theories, the complexity is upper bounded by $O({\rm poly}(N))$, and (c) in chaotic theories, we argue that conjugate points do not occur until exponential times $O(e^N)$, after which it becomes possible to find infinitesimally nearby geodesics which approximate the time evolution operator. Finally, we explore the notion of eigenstate complexity in free, integrable, and chaotic models.

[ { "created": "Wed, 6 Jan 2021 19:00:00 GMT", "version": "v1" }, { "created": "Tue, 27 Apr 2021 02:30:47 GMT", "version": "v2" } ]

2021-07-21

[ [ "Balasubramanian", "Vijay", "" ], [ "DeCross", "Matthew", "" ], [ "Kar", "Arjun", "" ], [ "Li", "Cathy", "" ], [ "Parrikar", "Onkar", "" ] ]

We use the SYK family of models with $N$ Majorana fermions to study the complexity of time evolution, formulated as the shortest geodesic length on the unitary group manifold between the identity and the time evolution operator, in free, integrable, and chaotic systems. Initially, the shortest geodesic follows the time evolution trajectory, and hence complexity grows linearly in time. We study how this linear growth is eventually truncated by the appearance and accumulation of conjugate points, which signal the presence of shorter geodesics intersecting the time evolution trajectory. By explicitly locating such "shortcuts" through analytical and numerical methods, we demonstrate that: (a) in the free theory, time evolution encounters conjugate points at a polynomial time; consequently complexity growth truncates at $O(\sqrt{N})$, and we find an explicit operator which "fast-forwards" the free $N$-fermion time evolution with this complexity, (b) in a class of interacting integrable theories, the complexity is upper bounded by $O({\rm poly}(N))$, and (c) in chaotic theories, we argue that conjugate points do not occur until exponential times $O(e^N)$, after which it becomes possible to find infinitesimally nearby geodesics which approximate the time evolution operator. Finally, we explore the notion of eigenstate complexity in free, integrable, and chaotic models.

7.457864

8.022487

8.745176

7.229861

8.091062

7.559157

8.023107

7.681998

7.470082

8.677899

7.492188

7.214745

7.580443

7.220243

7.175111

7.111482

7.325977

7.087384

7.323015

7.44188

7.096151

1012.2841

Dmitri Gal'tsov

D.V. Gal'tsov, E.Yu. Melkumova and S. Zamani-Mogaddam

Nambu-Goldstone explosion under brane perforation

7 pages, Latex

JETP Letters, 2010. Vol 92, No. 5, pp. 276-280

10.1134/S0021364010170029

null

hep-th gr-qc hep-ph

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

We show that perforation of the three-brane by mass impinging upon it from the five-dimensional bulk excites Nambu-Goldstone spherical wave propagating outwards with the velocity of light. It is speculated that such an effect can give rise to "`unmotivated" energy release events in the brane-world cosmological models.

[ { "created": "Mon, 13 Dec 2010 19:51:04 GMT", "version": "v1" } ]

2015-05-20

[ [ "Gal'tsov", "D. V.", "" ], [ "Melkumova", "E. Yu.", "" ], [ "Zamani-Mogaddam", "S.", "" ] ]

We show that perforation of the three-brane by mass impinging upon it from the five-dimensional bulk excites Nambu-Goldstone spherical wave propagating outwards with the velocity of light. It is speculated that such an effect can give rise to "`unmotivated" energy release events in the brane-world cosmological models.

22.038498

21.846029

19.834936

17.512264

19.530046

21.163235

19.326727

20.276501

18.863785

22.001024

21.072058

20.16864

19.186821

19.814798

20.050331

21.430513

20.842566

19.632988

19.307928

18.708727

20.491352

2001.06800

Giulia Isabella

Adam Falkowski, Giulia Isabella

Matter Coupling in Massive Gravity

21 pages, 1 figure

JHEP 04 (2020) 014

10.1007/JHEP04(2020)014

null

hep-th gr-qc hep-ph

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

We discuss the dRGT massive gravity interacting with spin-0, spin-1/2, or spin-1 matter. The effective theory of a massive spin-2 particle coupled to matter particles is constructed directly at the amplitude level. In this setting we calculate the gravitational Compton scattering amplitudes and study their UV properties. While the Compton amplitudes generically grow with energy as $\mathcal{O}(E^6)$, we identify regions of the parameter space where they are softened to $\mathcal{O}(E^4)$ or even $\mathcal{O}(E^3)$, which allows for a larger validity range of the effective theory. In these regions, both positivity and beyond-positivity of the forward Compton amplitudes are fulfilled, and the equivalence principle automatically emerges.

[ { "created": "Sun, 19 Jan 2020 09:57:26 GMT", "version": "v1" }, { "created": "Mon, 6 Apr 2020 10:47:31 GMT", "version": "v2" } ]

2020-04-07

[ [ "Falkowski", "Adam", "" ], [ "Isabella", "Giulia", "" ] ]

We discuss the dRGT massive gravity interacting with spin-0, spin-1/2, or spin-1 matter. The effective theory of a massive spin-2 particle coupled to matter particles is constructed directly at the amplitude level. In this setting we calculate the gravitational Compton scattering amplitudes and study their UV properties. While the Compton amplitudes generically grow with energy as $\mathcal{O}(E^6)$, we identify regions of the parameter space where they are softened to $\mathcal{O}(E^4)$ or even $\mathcal{O}(E^3)$, which allows for a larger validity range of the effective theory. In these regions, both positivity and beyond-positivity of the forward Compton amplitudes are fulfilled, and the equivalence principle automatically emerges.

6.788149

5.750917

6.338295

6.052243

6.077394

6.41439

6.312726

6.369604

5.875479

7.126814

5.949538

6.217707

6.33978

6.143947

6.285499

6.268826

6.230539

6.175208

6.345526

6.540124

6.315747

2210.13970

Harvendra Singh

Islands and Icebergs may contribute nothing to the Page curve

13 pages, 04 figures; v2: typos corrected; v3: small corrections, redrawn figs, footnote added

null

hep-th

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

We study the entanglement entropy of a subsystem in contact with symmetrical bath where the complete system lives on the boundary of AdS3 spacetime. The system-A is taken to be in the middle of the bath system-B and the full system is taken to be some fixed localized region of the boundary 2-dimensional CFT. We generally assume that the d.o.f.s in the total system remain fixed when we vary the size of the bath which is to be guided by the conservation laws. It is found that the island and the subleading (icebergs) contributions are inseparable, and in totality they contribute nothing to the Page-curve of the radiation. As such they contribute only to the unphysical branch of the entropy. The entropy formula of the radiation may simply be written as minimum of {S[A],S[B]} including for the black holes.

[ { "created": "Tue, 25 Oct 2022 12:55:22 GMT", "version": "v1" }, { "created": "Wed, 2 Nov 2022 11:03:03 GMT", "version": "v2" }, { "created": "Mon, 12 Feb 2024 09:38:30 GMT", "version": "v3" } ]

2024-02-13

[ [ "Singh", "Harvendra", "" ] ]

We study the entanglement entropy of a subsystem in contact with symmetrical bath where the complete system lives on the boundary of AdS3 spacetime. The system-A is taken to be in the middle of the bath system-B and the full system is taken to be some fixed localized region of the boundary 2-dimensional CFT. We generally assume that the d.o.f.s in the total system remain fixed when we vary the size of the bath which is to be guided by the conservation laws. It is found that the island and the subleading (icebergs) contributions are inseparable, and in totality they contribute nothing to the Page-curve of the radiation. As such they contribute only to the unphysical branch of the entropy. The entropy formula of the radiation may simply be written as minimum of {S[A],S[B]} including for the black holes.

21.826864

22.307352

23.424559

21.104074

20.676315

22.380159

22.0648

21.928091

21.074274

26.12875

20.613155

21.254526

21.395527

20.385923

21.203911

21.400776

21.043587

20.874907

20.909788

22.106958

20.934456

2106.00693

Thomas Vandermeulen

Daniel Robbins, Eric Sharpe, Thomas Vandermeulen

Anomalies, Extensions and Orbifolds

37 pages, 2 appendices, 3 figures

Phys. Rev. D 104, 085009 (2021)

10.1103/PhysRevD.104.085009

null

hep-th

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

We investigate gauge anomalies in the context of orbifold conformal field theories. Such anomalies manifest as failures of modular invariance in the constituents of the orbifold partition function. We review how this irregularity is classified by cohomology and how extending the orbifold group can remove it. Working with such extensions requires an understanding of the consistent ways in which extending groups can act on the twisted states of the original symmetry, which leads us to a discrete-torsion like choice that exists in orbifolds with trivially-acting subgroups. We review a general method for constructing such extensions and investigate its application to orbifolds. Through numerous explicit examples we test the conjecture that consistent extensions should be equivalent to (in general multiple copies of) orbifolds by non-anomalous subgroups.

[ { "created": "Tue, 1 Jun 2021 18:00:04 GMT", "version": "v1" } ]

2021-10-13

[ [ "Robbins", "Daniel", "" ], [ "Sharpe", "Eric", "" ], [ "Vandermeulen", "Thomas", "" ] ]

We investigate gauge anomalies in the context of orbifold conformal field theories. Such anomalies manifest as failures of modular invariance in the constituents of the orbifold partition function. We review how this irregularity is classified by cohomology and how extending the orbifold group can remove it. Working with such extensions requires an understanding of the consistent ways in which extending groups can act on the twisted states of the original symmetry, which leads us to a discrete-torsion like choice that exists in orbifolds with trivially-acting subgroups. We review a general method for constructing such extensions and investigate its application to orbifolds. Through numerous explicit examples we test the conjecture that consistent extensions should be equivalent to (in general multiple copies of) orbifolds by non-anomalous subgroups.

13.082771

12.184005

14.968152

11.874046

12.912278

11.989834

12.434877

11.752254

11.603902

14.979563

11.65262

12.908604

13.635632

12.170452

12.427577

12.344634

12.461749

11.830731

12.780889

13.008036

12.140675

hep-th/9402130

Denis Juriev

Setting Hidden Symmetries Free by the Noncommutative Veronese Mapping

5 pages, AMSTEX (style AMSPPT)

J.Math.Phys. 35 (1994) 5021-5024

10.1063/1.530895

null

hep-th alg-geom math.AG

null

The short note is devoted to the setting free of hidden symmetries in Verma modules over sl(2,C) by the noncommutative Veronese mappings.

[ { "created": "Wed, 23 Feb 1994 11:24:20 GMT", "version": "v1" } ]

2009-10-28

[ [ "Juriev", "Denis", "" ] ]

The short note is devoted to the setting free of hidden symmetries in Verma modules over sl(2,C) by the noncommutative Veronese mappings.

21.996613

18.854149

27.075733

20.536953

20.854292

24.739826

20.576368

23.420269

19.659214

25.869013

20.746815

22.379454

22.546537

21.439953

21.736027

20.483583

21.542282

20.340006

19.785595

20.464342

20.425751

1806.06963

Kyung Kiu Kim

Kyung Kiu Kim and O-Kab Kwon

Janus ABJM Models with Mass Deformation

17 pages, references added, published version

null

hep-th

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

We construct a large class of ${\cal N} = 3$ Janus ABJM models with mass deformation, where the mass depends on a spatial (or lightcone) coordinate. We also show that the resulting Janus model can be identified with an effective action of M2-branes in the presence of a background self-dual 4-form field strength varying along one spatial (or lightcone) coordinate.

[ { "created": "Mon, 18 Jun 2018 21:48:25 GMT", "version": "v1" }, { "created": "Mon, 27 Aug 2018 08:10:28 GMT", "version": "v2" } ]

2018-08-28

[ [ "Kim", "Kyung Kiu", "" ], [ "Kwon", "O-Kab", "" ] ]

We construct a large class of ${\cal N} = 3$ Janus ABJM models with mass deformation, where the mass depends on a spatial (or lightcone) coordinate. We also show that the resulting Janus model can be identified with an effective action of M2-branes in the presence of a background self-dual 4-form field strength varying along one spatial (or lightcone) coordinate.

10.486006

8.318995

9.769403

8.903286

8.240401

7.802951

8.159696

8.388026

8.499479

11.623769

8.218245

8.941451

9.943242

8.464403

8.426311

8.985389

8.591883

8.307585

8.411201

9.403045

8.860654

hep-th/0104047

Alexander Kovner

Ian. I Kogan (Oxford U.), Alex Kovner (CERN and Plymouth U.), Bayram Tekin (Oxford U.)

Deconfinement at N>2: SU(N) Georgi-Glashow model in 2+1 dimensions

25 pages, Latex

JHEP 0105:062,2001

10.1088/1126-6708/2001/05/062

CERN-TH/2001-103

hep-th hep-lat hep-ph

null

We analyse the deconfining phase transition in the SU(N) Georgi-Glashow model in 2+1 dimensions. We show that the phase transition is second order for any N, and the universality class is different from the Z(N) invariant Villain model. At large N the conformal theory describing the fixed point is a deformed SU(N)_1 WZNW model which has N-1 massless fields. It is therefore likely that its self-dual infrared fixed point is described by the Fateev-Zamolodchikov theory of Z(N) parafermions.

[ { "created": "Thu, 5 Apr 2001 09:51:54 GMT", "version": "v1" } ]

2010-02-03

[ [ "Kogan", "Ian. I", "", "Oxford U." ], [ "Kovner", "Alex", "", "CERN and Plymouth U." ], [ "Tekin", "Bayram", "", "Oxford U." ] ]

We analyse the deconfining phase transition in the SU(N) Georgi-Glashow model in 2+1 dimensions. We show that the phase transition is second order for any N, and the universality class is different from the Z(N) invariant Villain model. At large N the conformal theory describing the fixed point is a deformed SU(N)_1 WZNW model which has N-1 massless fields. It is therefore likely that its self-dual infrared fixed point is described by the Fateev-Zamolodchikov theory of Z(N) parafermions.

5.839393

5.360697

6.318347

5.463591

5.654048

5.340111

5.54795

5.211015

5.305071

6.591483

5.162279

5.292761

6.156332

5.392038

5.490637

5.5929

5.291468

5.525583

5.455227

6.031483

5.459497

1708.05090

Jia-ju Zhang

Song He, Feng-Li Lin and Jia-ju Zhang

Dissimilarities of reduced density matrices and eigenstate thermalization hypothesis

V1, 34 pages, 5 figures, see collection of complete results in the attached Mathematica notebook; V2, 38 pages, 5 figures, published version

JHEP 1712 (2017) 073

10.1007/JHEP12(2017)073

null

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

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

We calculate various quantities that characterize the dissimilarity of reduced density matrices for a short interval of length $\ell$ in a two-dimensional (2D) large central charge conformal field theory (CFT). These quantities include the R\'enyi entropy, entanglement entropy, relative entropy, Jensen-Shannon divergence, as well as the Schatten 2-norm and 4-norm. We adopt the method of operator product expansion of twist operators, and calculate the short interval expansion of these quantities up to order of $\ell^9$ for the contributions from the vacuum conformal family. The formal forms of these dissimilarity measures and the derived Fisher information metric from contributions of general operators are also given. As an application of the results, we use these dissimilarity measures to compare the excited and thermal states, and examine the eigenstate thermalization hypothesis (ETH) by showing how they behave in high temperature limit. This would help to understand how ETH in 2D CFT can be defined more precisely. We discuss the possibility that all the dissimilarity measures considered here vanish when comparing the reduced density matrices of an excited state and a generalized Gibbs ensemble thermal state. We also discuss ETH for a microcanonical ensemble thermal state in a 2D large central charge CFT, and find that it is approximately satisfied for a small subsystem and violated for a large subsystem.

[ { "created": "Wed, 16 Aug 2017 21:56:35 GMT", "version": "v1" }, { "created": "Fri, 22 Dec 2017 05:23:05 GMT", "version": "v2" } ]

2017-12-25

[ [ "He", "Song", "" ], [ "Lin", "Feng-Li", "" ], [ "Zhang", "Jia-ju", "" ] ]

We calculate various quantities that characterize the dissimilarity of reduced density matrices for a short interval of length $\ell$ in a two-dimensional (2D) large central charge conformal field theory (CFT). These quantities include the R\'enyi entropy, entanglement entropy, relative entropy, Jensen-Shannon divergence, as well as the Schatten 2-norm and 4-norm. We adopt the method of operator product expansion of twist operators, and calculate the short interval expansion of these quantities up to order of $\ell^9$ for the contributions from the vacuum conformal family. The formal forms of these dissimilarity measures and the derived Fisher information metric from contributions of general operators are also given. As an application of the results, we use these dissimilarity measures to compare the excited and thermal states, and examine the eigenstate thermalization hypothesis (ETH) by showing how they behave in high temperature limit. This would help to understand how ETH in 2D CFT can be defined more precisely. We discuss the possibility that all the dissimilarity measures considered here vanish when comparing the reduced density matrices of an excited state and a generalized Gibbs ensemble thermal state. We also discuss ETH for a microcanonical ensemble thermal state in a 2D large central charge CFT, and find that it is approximately satisfied for a small subsystem and violated for a large subsystem.

7.910813

7.49021

9.203427

6.913458

7.188621

6.857631

7.636712

7.216913

7.079892

8.895697

6.990756

7.21147

7.799702

7.282776

7.107312

7.020618

7.253022

7.152678

7.202475

7.841672

7.096803

2401.17458

Eiji Konishi

Lorentzian holographic gravity and the time-energy uncertainty principle

3 pages, revtex

JHAP 4, (1) (2024) 65

10.22128/jhap.2024.780.1068

null

hep-th gr-qc quant-ph

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

In this article, we present a heuristic derivation of the on-shell equation of the Lorentzian classicalized holographic tensor network in the presence of a non-zero mass in the bulk spacetime. This derivation of the on-shell equation is based on two physical assumptions. First, the Lorentzian bulk theory is in the ground state. Second, the law of Lorentzian holographic gravity is identified with the time-energy uncertainty principle. The arguments in this derivation could lead to a novel picture of Lorentzian gravity as a quantum mechanical time uncertainty based on the holographic principle and classicalization.

[ { "created": "Tue, 30 Jan 2024 21:41:09 GMT", "version": "v1" } ]

2024-03-28

[ [ "Konishi", "Eiji", "" ] ]

In this article, we present a heuristic derivation of the on-shell equation of the Lorentzian classicalized holographic tensor network in the presence of a non-zero mass in the bulk spacetime. This derivation of the on-shell equation is based on two physical assumptions. First, the Lorentzian bulk theory is in the ground state. Second, the law of Lorentzian holographic gravity is identified with the time-energy uncertainty principle. The arguments in this derivation could lead to a novel picture of Lorentzian gravity as a quantum mechanical time uncertainty based on the holographic principle and classicalization.

11.023111

11.044937

11.041137

9.732734

10.1708

10.595093

9.488534

10.726958

9.649117

12.89473

10.52366

10.377012

10.137172

10.174063

9.863941

10.314797

10.506752

10.343942

10.034978

10.454587

10.814157

hep-th/9602055

Lorenzo Magnea

Paolo Di Vecchia, Alberto Lerda, Lorenzo Magnea, Raffaele Marotta, Rodolfo Russo

Renormalization constants from string theory

15 pages. Latex, uses crckapb.sty. Proceedings Erice '95

null

DFTT 82/95

hep-th

null

We review some recent results on the calculation of renormalization constants in Yang-Mills theory using open bosonic strings. The technology of string amplitudes, supplemented with an appropriate continuation off the mass shell, can be used to compute the ultraviolet divergences of dimensionally regularized gauge theories. The results show that the infinite tension limit of string amplitudes corresponds to the background field method in field theory. (Proceedings of the Workshop ``Strings, Gravity and Physics at the Planck scale'', Erice (Italy), September 1995. Preprint DFTT 82/95)

[ { "created": "Mon, 12 Feb 1996 13:21:01 GMT", "version": "v1" } ]

2007-05-23

[ [ "Di Vecchia", "Paolo", "" ], [ "Lerda", "Alberto", "" ], [ "Magnea", "Lorenzo", "" ], [ "Marotta", "Raffaele", "" ], [ "Russo", "Rodolfo", "" ] ]

We review some recent results on the calculation of renormalization constants in Yang-Mills theory using open bosonic strings. The technology of string amplitudes, supplemented with an appropriate continuation off the mass shell, can be used to compute the ultraviolet divergences of dimensionally regularized gauge theories. The results show that the infinite tension limit of string amplitudes corresponds to the background field method in field theory. (Proceedings of the Workshop ``Strings, Gravity and Physics at the Planck scale'', Erice (Italy), September 1995. Preprint DFTT 82/95)

8.608986

8.015073

8.267137

7.376096

7.875709

8.62678

9.468788

7.987386

7.498665

9.335719

7.626877

7.246271

7.896316

7.329556

7.641482

7.405223

7.490599

7.232949

7.39447

7.693066

7.271358

2306.11597

Shima Peyravi

Nematollah Riazi and Marzieh Peyravi

Fluid Dynamical Description of Sine-Gordon Solitons

null

hep-th nlin.PS physics.flu-dyn

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

We present a fluid dynamical description of a relativistic scalar field in $1+1$ dimensions and apply the general results to the special case of Sine-Gordon solitons. The results which include the local quantities pressure, density and fluid velocity are compared to the standard quantities attributed to the solitons.

[ { "created": "Tue, 20 Jun 2023 15:14:31 GMT", "version": "v1" } ]

2023-07-31

[ [ "Riazi", "Nematollah", "" ], [ "Peyravi", "Marzieh", "" ] ]

We present a fluid dynamical description of a relativistic scalar field in $1+1$ dimensions and apply the general results to the special case of Sine-Gordon solitons. The results which include the local quantities pressure, density and fluid velocity are compared to the standard quantities attributed to the solitons.

12.271464

10.16667

10.484549

9.511039

9.736917

9.877099

10.198977

10.117472

9.642009

10.215761

9.574365

10.314616

10.384233

9.835731

10.019274

9.905821

10.014812

9.463238

10.54026

10.204726

9.758378

1508.00926

Pablo Pais

Alfredo Iorio and Pablo Pais

Revisiting the gauge fields of strained graphene

24 pages, 6 figures. Comments added, text reduced and relevant references included

Phys. Rev. D 92, 125005 (2015)

10.1103/PhysRevD.92.125005

null

hep-th cond-mat.mtrl-sci gr-qc

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

We show that, when graphene is only subject to strain, the spin connection gauge field that arises plays no measurable role, but when intrinsic curvature is present and strain is small, spin connection dictates most the physics. We do so by showing that the Weyl field associated with strain is a pure gauge field and no constraint on the $(2+1)$-dimensional spacetime appears. On the other hand, for constant intrinsic curvature that also gives a pure-gauge Weyl field, we find a classical manifestation of a quantum Weyl anomaly, descending from a constrained spacetime. We are in the position to do this because we find the equations that the conformal factor in $(2+1)$-dimensions has to satisfy, that is a nontrivial generalization to $(2+1)$-dimensions of the classic Liouville equation of differential geometry of surfaces. Finally, we comment on the peculiarities of the only gauge field that can describe strain, that is the well known {\it pseudogauge field} $A_1 \sim u_{11} - u_{22}$ and $A_2 \sim u_{12}$, and conclude by offering some scenarios of fundamental physics that this peculiar field could help to realize.

[ { "created": "Tue, 4 Aug 2015 21:57:59 GMT", "version": "v1" }, { "created": "Fri, 11 Dec 2015 17:02:36 GMT", "version": "v2" } ]

2015-12-14

[ [ "Iorio", "Alfredo", "" ], [ "Pais", "Pablo", "" ] ]

We show that, when graphene is only subject to strain, the spin connection gauge field that arises plays no measurable role, but when intrinsic curvature is present and strain is small, spin connection dictates most the physics. We do so by showing that the Weyl field associated with strain is a pure gauge field and no constraint on the $(2+1)$-dimensional spacetime appears. On the other hand, for constant intrinsic curvature that also gives a pure-gauge Weyl field, we find a classical manifestation of a quantum Weyl anomaly, descending from a constrained spacetime. We are in the position to do this because we find the equations that the conformal factor in $(2+1)$-dimensions has to satisfy, that is a nontrivial generalization to $(2+1)$-dimensions of the classic Liouville equation of differential geometry of surfaces. Finally, we comment on the peculiarities of the only gauge field that can describe strain, that is the well known {\it pseudogauge field} $A_1 \sim u_{11} - u_{22}$ and $A_2 \sim u_{12}$, and conclude by offering some scenarios of fundamental physics that this peculiar field could help to realize.

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2202.11123

Nicolas Wink

Jan M. Pawlowski, Coralie S. Schneider and Nicolas Wink

On Gauge Consistency In Gauge-Fixed Yang-Mills Theory

27 pages, 19 figures

null

hep-th hep-lat hep-ph

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

We investigate BRST invariance in Landau gauge Yang-Mills theory with functional methods. To that end, we solve the coupled system of functional renormalisation group equations for the momentum-dependent ghost and gluon propagator, ghost-gluon, and three- and four-gluon vertex dressings. The equations for both, transverse and longitudinal correlation functions are solved self-consistently: all correlation functions are fed back into the loops. Additionally, we also use the Slavnov-Taylor identities for computing the longitudinal correlation functions on the basis of the above results. Then, the gauge consistency of the solutions is checked by comparing the respective longitudinal correlation functions. We find good agreement of these results, hinting at the gauge consistency of our setup.

[ { "created": "Tue, 22 Feb 2022 19:05:46 GMT", "version": "v1" }, { "created": "Thu, 25 Aug 2022 11:05:40 GMT", "version": "v2" } ]

2022-08-26

[ [ "Pawlowski", "Jan M.", "" ], [ "Schneider", "Coralie S.", "" ], [ "Wink", "Nicolas", "" ] ]

We investigate BRST invariance in Landau gauge Yang-Mills theory with functional methods. To that end, we solve the coupled system of functional renormalisation group equations for the momentum-dependent ghost and gluon propagator, ghost-gluon, and three- and four-gluon vertex dressings. The equations for both, transverse and longitudinal correlation functions are solved self-consistently: all correlation functions are fed back into the loops. Additionally, we also use the Slavnov-Taylor identities for computing the longitudinal correlation functions on the basis of the above results. Then, the gauge consistency of the solutions is checked by comparing the respective longitudinal correlation functions. We find good agreement of these results, hinting at the gauge consistency of our setup.

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