LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1907.13131

Andrei Belitsky

A.V. Belitsky, G.P. Korchemsky

Exact null octagon

27 pages, 1 figure; references and discussion updated

null

10.1007/JHEP05(2020)070

null

hep-th

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

We consider the so-called simplest correlation function of four infinitely heavy half-BPS operators in planar N=4 SYM in the limit when the operators are light-like separated in a sequential manner. We find a closed-form expression for the correlation function in this limit as a function of the 't Hooft coupling and residual cross ratios. Our analysis heavily relies on the factorization of the correlation function into the product of null octagons and on the recently established determinant representation for the latter. We show that the null octagon is given by a Fredholm determinant of a certain integral operator which has a striking similarity to those previously encountered in the study of two-point correlation functions in exactly solvable models at finite temperature and of level spacing distributions for random matrices. This allows us to compute the null octagon exactly by employing a method of differential equations.

[ { "created": "Tue, 30 Jul 2019 18:00:00 GMT", "version": "v1" }, { "created": "Wed, 11 Mar 2020 18:00:01 GMT", "version": "v2" } ]

2020-06-24

[ [ "Belitsky", "A. V.", "" ], [ "Korchemsky", "G. P.", "" ] ]

We consider the so-called simplest correlation function of four infinitely heavy half-BPS operators in planar N=4 SYM in the limit when the operators are light-like separated in a sequential manner. We find a closed-form expression for the correlation function in this limit as a function of the 't Hooft coupling and residual cross ratios. Our analysis heavily relies on the factorization of the correlation function into the product of null octagons and on the recently established determinant representation for the latter. We show that the null octagon is given by a Fredholm determinant of a certain integral operator which has a striking similarity to those previously encountered in the study of two-point correlation functions in exactly solvable models at finite temperature and of level spacing distributions for random matrices. This allows us to compute the null octagon exactly by employing a method of differential equations.

8.805539

7.056871

9.242447

7.327909

8.405239

7.660175

7.781939

7.111127

7.778316

11.433314

7.738336

8.009254

9.127187

7.975153

8.05636

8.09032

7.951973

7.801673

8.044818

8.760461

7.921676

2406.09212

George Alestas

George Alestas, Matilda Delgado, Ignacio Ruiz, Yashar Akrami, Miguel Montero, Savvas Nesseris

To curve, or not to curve: Is curvature-assisted quintessence observationally viable?

13 pages, 6 figures. v2: expanded discussion and added references

null

IFT-UAM/CSIC-24-83

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

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

Single-field models of accelerated expansion with nearly flat potentials, despite being able to provide observationally viable explanations for the early-time cosmic inflation and the late-time cosmic acceleration, are in strong tension with string theory evidence and the associated de Sitter swampland constraints. It has recently been argued that in an open universe, where the spatial curvature is negative (i.e., with $\Omega_k>0$), a new stable fixed point arises, which may lead to viable single-field-based accelerated expansion with an arbitrarily steep potential. Here we show, through a dynamical systems analysis and a Bayesian statistical inference of cosmological parameters, that the additional cosmological solutions based on the new fixed point do not render steep-potential, single-field, accelerated expansion observationally viable. We mainly focus on quintessence models of dark energy, but we also argue that a similar conclusion can be drawn for cosmic inflation.

[ { "created": "Thu, 13 Jun 2024 15:15:13 GMT", "version": "v1" }, { "created": "Mon, 15 Jul 2024 16:18:34 GMT", "version": "v2" } ]

2024-07-16

[ [ "Alestas", "George", "" ], [ "Delgado", "Matilda", "" ], [ "Ruiz", "Ignacio", "" ], [ "Akrami", "Yashar", "" ], [ "Montero", "Miguel", "" ], [ "Nesseris", "Savvas", "" ] ]

Single-field models of accelerated expansion with nearly flat potentials, despite being able to provide observationally viable explanations for the early-time cosmic inflation and the late-time cosmic acceleration, are in strong tension with string theory evidence and the associated de Sitter swampland constraints. It has recently been argued that in an open universe, where the spatial curvature is negative (i.e., with $\Omega_k>0$), a new stable fixed point arises, which may lead to viable single-field-based accelerated expansion with an arbitrarily steep potential. Here we show, through a dynamical systems analysis and a Bayesian statistical inference of cosmological parameters, that the additional cosmological solutions based on the new fixed point do not render steep-potential, single-field, accelerated expansion observationally viable. We mainly focus on quintessence models of dark energy, but we also argue that a similar conclusion can be drawn for cosmic inflation.

10.140893

9.958812

10.284311

9.284312

10.213794

10.395894

9.717774

9.086187

9.813339

10.739116

9.49172

9.575798

9.718302

9.411806

9.598276

9.262527

9.326414

9.332521

9.703264

9.696835

9.08427

1707.03414

Augusto Sagnotti Prof.

E. Dudas, S. Ferrara and A. Sagnotti

A superfield constraint for N=2 --> N=0 breaking

26 pages, LaTeX

null

10.1007/JHEP08(2017)109

CERN-TH-2017-131, CPHT-RR043.062017

hep-th hep-ph

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

We identify a cubic holomorphic constraint that subtends the total breaking of N=2 supersymmetry in a vector multiplet and exhibit its microscopic origin. The new constraint leaves behind, at low energies, a vector and the two goldstini, in a non-linear Lagrangian that generalizes the N=2 Volkov-Akulov model.

[ { "created": "Tue, 11 Jul 2017 18:03:18 GMT", "version": "v1" } ]

2017-09-13

[ [ "Dudas", "E.", "" ], [ "Ferrara", "S.", "" ], [ "Sagnotti", "A.", "" ] ]

We identify a cubic holomorphic constraint that subtends the total breaking of N=2 supersymmetry in a vector multiplet and exhibit its microscopic origin. The new constraint leaves behind, at low energies, a vector and the two goldstini, in a non-linear Lagrangian that generalizes the N=2 Volkov-Akulov model.

16.37677

13.072498

15.285321

15.025507

15.373632

14.349432

13.840955

13.428742

13.213755

18.491894

13.25985

15.053458

14.480329

14.634605

15.027156

14.818737

14.658767

15.317439

14.698863

14.628006

14.826161

hep-th/9905210

Nemanja Kaloper

Bent Domain Walls as Braneworlds

26 pages, latex, no figures, corrected few typos, as accepted for publication in Phys. Rev. D

Phys. Rev. D 60, 123506 (1999)

10.1103/PhysRevD.60.123506

SU-ITP-99/25

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

null

We consider domain walls embedded in curved backgrounds as an approximation for braneworld scenarios. We give a large class of new exact solutions, exhausting the possibilities for describing one and two walls for the cases where the curvature of both the bulk and the wall is locally constant. In the case of two walls, we find solutions where each wall has positive tension. An interesting property of these solutions is that the curvature of the walls can be much smaller than the tension, leading to a significant cancellation of the effective cosmological constant, which however is still much larger than the observational limits. We further discuss some aspects of inflation in models based on wall solutions.

[ { "created": "Thu, 27 May 1999 23:02:53 GMT", "version": "v1" }, { "created": "Fri, 4 Jun 1999 00:18:15 GMT", "version": "v2" }, { "created": "Sun, 29 Aug 1999 00:51:53 GMT", "version": "v3" } ]

2016-08-25

[ [ "Kaloper", "Nemanja", "" ] ]

We consider domain walls embedded in curved backgrounds as an approximation for braneworld scenarios. We give a large class of new exact solutions, exhausting the possibilities for describing one and two walls for the cases where the curvature of both the bulk and the wall is locally constant. In the case of two walls, we find solutions where each wall has positive tension. An interesting property of these solutions is that the curvature of the walls can be much smaller than the tension, leading to a significant cancellation of the effective cosmological constant, which however is still much larger than the observational limits. We further discuss some aspects of inflation in models based on wall solutions.

11.366385

11.331799

11.113295

10.082706

10.752475

10.815412

10.68377

10.69301

10.450707

11.600906

10.884176

10.887428

10.762967

10.699644

10.912184

11.209374

11.160834

10.963614

10.847258

10.873638

10.62385

hep-th/9510030

Nelson R. F. Braga

Everton M. C. Abreu and Nelson R. F. Braga

A Superspace Formulation for the Master Equation

The constrained nature of standard BRST superfields and the importance of using Alfaro and Damgaard's collective fields in the superspace approach to avoid undefined superfield derivatives was emphasized. To appear in Phys. Rev. D. Latex file, 20 pages

Phys.Rev.D54:4080-4086,1996

10.1103/PhysRevD.54.4080

UFRJ-IF-FPC-024/95

hep-th

null

It is shown that the quantum master equation of the Field Antifield quantization method at one loop order can be translated into the requirement of a superfield structure for the action. The Pauli Villars regularization is implemented in this BRST superspace and the case of anomalous gauge theories is investigated. The quantum action, including Wess Zumino terms, shows up as one of the components of a superfield that includes the BRST anomalies in the other component. The example of W2 quantum gravity is also discussed.

[ { "created": "Fri, 6 Oct 1995 16:30:08 GMT", "version": "v1" }, { "created": "Fri, 28 Jun 1996 14:00:30 GMT", "version": "v2" } ]

2008-11-26

[ [ "Abreu", "Everton M. C.", "" ], [ "Braga", "Nelson R. F.", "" ] ]

It is shown that the quantum master equation of the Field Antifield quantization method at one loop order can be translated into the requirement of a superfield structure for the action. The Pauli Villars regularization is implemented in this BRST superspace and the case of anomalous gauge theories is investigated. The quantum action, including Wess Zumino terms, shows up as one of the components of a superfield that includes the BRST anomalies in the other component. The example of W2 quantum gravity is also discussed.

13.976942

11.086132

14.909428

10.813792

11.012279

12.109508

10.865229

11.591843

10.955024

14.757719

11.599678

11.363658

13.208346

11.572174

11.622598

11.813651

11.643701

11.815994

11.707696

14.395792

11.285155

1101.1980

Ida G. Zadeh

Gaetano Bertoldi, Benjamin A. Burrington, Amanda W. Peet and Ida G. Zadeh

Lifshitz-like black brane thermodynamics in higher dimensions

22 pages, 5 images, references added

Phys.Rev.D83:126006,2011

10.1103/PhysRevD.83.126006

null

hep-th gr-qc

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

Gravitational backgrounds in d+2 dimensions have been proposed as holographic duals to Lifshitz-like theories describing critical phenomena in d+1 dimensions with critical exponent z\geq 1. We numerically explore a dilaton-Einstein-Maxwell model admitting such backgrounds as solutions. Such backgrounds are characterized by a temperature T and chemical potential \mu, and we find how to embed these solutions into AdS for a range of values of z and d. We find no thermal instability going from the (T\ll\mu) to the (T\gg\mu) regimes, regardless of the dimension, and find that the solutions smoothly interpolate between the Lifshitz-like behaviour and the relativistic AdS-like behaviour. We exploit some conserved quantities to find a relationship between the energy density E, entropy density s, and number density n, E=\frac{d}{d+1}(Ts+n\mu), as is required by the isometries of AdS_{d+2}. Finally, in the (T\ll\mu) regime the entropy density is found to satisfy a power law s \propto c T^{d/z} \mu^{(z-1)d/z}, and we numerically explore the dependence of the constant c, a measure of the number of degrees of freedom, on d and z.

[ { "created": "Mon, 10 Jan 2011 22:17:47 GMT", "version": "v1" }, { "created": "Tue, 22 Feb 2011 21:03:11 GMT", "version": "v2" } ]

2015-03-17

[ [ "Bertoldi", "Gaetano", "" ], [ "Burrington", "Benjamin A.", "" ], [ "Peet", "Amanda W.", "" ], [ "Zadeh", "Ida G.", "" ] ]

Gravitational backgrounds in d+2 dimensions have been proposed as holographic duals to Lifshitz-like theories describing critical phenomena in d+1 dimensions with critical exponent z\geq 1. We numerically explore a dilaton-Einstein-Maxwell model admitting such backgrounds as solutions. Such backgrounds are characterized by a temperature T and chemical potential \mu, and we find how to embed these solutions into AdS for a range of values of z and d. We find no thermal instability going from the (T\ll\mu) to the (T\gg\mu) regimes, regardless of the dimension, and find that the solutions smoothly interpolate between the Lifshitz-like behaviour and the relativistic AdS-like behaviour. We exploit some conserved quantities to find a relationship between the energy density E, entropy density s, and number density n, E=\frac{d}{d+1}(Ts+n\mu), as is required by the isometries of AdS_{d+2}. Finally, in the (T\ll\mu) regime the entropy density is found to satisfy a power law s \propto c T^{d/z} \mu^{(z-1)d/z}, and we numerically explore the dependence of the constant c, a measure of the number of degrees of freedom, on d and z.

7.225316

6.536155

8.111841

6.582016

6.947456

6.42083

6.434108

6.505079

6.543699

7.764505

6.677556

6.646245

7.139109

6.606264

6.555016

6.693767

6.837411

6.865399

6.73654

7.295173

6.609317

hep-th/0505229

Stam Nicolis

E. G. Floratos, S. Nicolis

Unitary Evolution on a Phase Space with Power of Two Discretization

7 pages, LaTeX2e, amssymb

null

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

null

We construct quantum evolution operators on the space of states, that realize the metaplectic representation of the modular group SL(2,Z_2^n). This representation acts in a natural way on the coordinates of the non-commutative 2-torus and thus is relevant for noncommutative field theories as well as theories of quantum space-time. The larger class of operators, thus defined, may be useful for the more efficient realization of new quantum algorithms.

[ { "created": "Wed, 25 May 2005 15:36:39 GMT", "version": "v1" } ]

2007-05-23

[ [ "Floratos", "E. G.", "" ], [ "Nicolis", "S.", "" ] ]

We construct quantum evolution operators on the space of states, that realize the metaplectic representation of the modular group SL(2,Z_2^n). This representation acts in a natural way on the coordinates of the non-commutative 2-torus and thus is relevant for noncommutative field theories as well as theories of quantum space-time. The larger class of operators, thus defined, may be useful for the more efficient realization of new quantum algorithms.

13.28533

15.036477

11.716832

13.390943

13.388041

13.952643

14.666074

12.425299

12.565007

17.577545

14.439795

12.777931

12.871107

13.048429

13.070095

12.889551

12.184681

12.912743

12.593613

14.115427

12.873483

1711.07929

Sourav Sarkar

Josua Faller, Sourav Sarkar, Mritunjay Verma

Mellin Amplitudes for Fermionic Conformal Correlators

28 pages + Appendices, 8 figures

null

10.1007/JHEP03(2018)106

null

hep-th

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

We define Mellin amplitudes for the fermion-scalar four point function and the fermion four point function. The Mellin amplitude thus defined has multiple components each associated with a tensor structure. In the case of three spacetime dimensions, we explicitly show that each component factorizes on dynamical poles onto components of the Mellin amplitudes for the corresponding three point functions. The novelty here is that for a given exchanged primary, each component of the Mellin amplitude may in general have more than one series of poles. We present a few examples of Mellin amplitudes for tree-level Witten diagrams and tree-level conformal Feynman integrals with fermionic legs, which illustrate the general properties.

[ { "created": "Tue, 21 Nov 2017 17:27:29 GMT", "version": "v1" } ]

2018-04-18

[ [ "Faller", "Josua", "" ], [ "Sarkar", "Sourav", "" ], [ "Verma", "Mritunjay", "" ] ]

We define Mellin amplitudes for the fermion-scalar four point function and the fermion four point function. The Mellin amplitude thus defined has multiple components each associated with a tensor structure. In the case of three spacetime dimensions, we explicitly show that each component factorizes on dynamical poles onto components of the Mellin amplitudes for the corresponding three point functions. The novelty here is that for a given exchanged primary, each component of the Mellin amplitude may in general have more than one series of poles. We present a few examples of Mellin amplitudes for tree-level Witten diagrams and tree-level conformal Feynman integrals with fermionic legs, which illustrate the general properties.

9.428149

9.143696

11.320971

9.336937

8.651397

9.069563

8.994623

9.324593

9.867985

12.222089

8.690223

8.604609

9.884352

8.776943

8.819058

8.811802

8.922732

8.606261

9.325155

10.024115

8.613572

1001.2403

Vladimir Pletyukhov

V.A. Pletyukhov, V.I. Strazhev

Dirac-Kahler Theory and Massless Fields

10 pages, to appear in Proceedings of International conference in honor of Ya. B. Zeldovich 95th Anniversary, April 20-23, 2009, Minsk, Belarus

null

10.1063/1.3382317

null

hep-th

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

Three massless limits of the Dirac-Kahler theory are considered. It is shown that the Dirac-Kahler equation for massive particles can be represented as a result of the gauge-invariant mixture (topological interaction) of the above massless fields.

[ { "created": "Thu, 14 Jan 2010 10:31:51 GMT", "version": "v1" } ]

2015-05-18

[ [ "Pletyukhov", "V. A.", "" ], [ "Strazhev", "V. I.", "" ] ]

Three massless limits of the Dirac-Kahler theory are considered. It is shown that the Dirac-Kahler equation for massive particles can be represented as a result of the gauge-invariant mixture (topological interaction) of the above massless fields.

14.079782

10.686511

12.899798

10.722578

9.788143

10.590799

10.27453

10.175394

10.222595

11.513268

10.908326

10.04934

10.313153

10.539423

9.764569

9.513914

9.26525

10.058716

10.083644

10.317283

10.258055

0705.4554

Prasanta K. Tripathy

Suresh Nampuri, Prasanta K. Tripathy, Sandip P. Trivedi

On The Stability of Non-Supersymmetric Attractors in String Theory

20 pages, Latex

JHEP 0708:054,2007

10.1088/1126-6708/2007/08/054

IITM/PH/TH/2007/2, TIFR/TH/07-10

hep-th

null

We study non-supersymmetric attractors obtained in Type IIA compactifications on Calabi Yau manifolds. Determining if an attractor is stable or unstable requires an algebraically complicated analysis in general. We show using group theoretic techniques that this analysis can be considerably simplified and can be reduced to solving a simple example like the STU model. For attractors with D0-D4 brane charges, determining stability requires expanding the effective potential to quartic order in the massless fields. We obtain the full set of these terms. For attractors with D0-D6 brane charges, we find that there is a moduli space of solutions and the resulting attractors are stable. Our analysis is restricted to the two derivative action.

[ { "created": "Thu, 31 May 2007 09:52:49 GMT", "version": "v1" } ]

2009-04-17

[ [ "Nampuri", "Suresh", "" ], [ "Tripathy", "Prasanta K.", "" ], [ "Trivedi", "Sandip P.", "" ] ]

We study non-supersymmetric attractors obtained in Type IIA compactifications on Calabi Yau manifolds. Determining if an attractor is stable or unstable requires an algebraically complicated analysis in general. We show using group theoretic techniques that this analysis can be considerably simplified and can be reduced to solving a simple example like the STU model. For attractors with D0-D4 brane charges, determining stability requires expanding the effective potential to quartic order in the massless fields. We obtain the full set of these terms. For attractors with D0-D6 brane charges, we find that there is a moduli space of solutions and the resulting attractors are stable. Our analysis is restricted to the two derivative action.

9.681936

8.99619

10.703792

8.780958

9.484058

9.062635

9.659698

8.733469

9.057713

9.774228

8.811911

9.239918

10.00144

9.343971

9.651975

9.540979

9.380132

9.46433

9.427349

10.110139

9.340393

hep-th/0401121

Yousef Bisabr

On Cosmological Implication of the Trace Anomaly

8 pages, no figures

Int.J.Theor.Phys. 44 (2005) 283-291

10.1007/s10773-005-2989-6

null

hep-th

null

We establish a connection between the trace anomaly and a thermal radiation in the context of the standard cosmology. This is done by solving the covariant conservation equation of the stress tensor associated with a conformally invariant quantum scalar field. The solution corresponds to a thermal radiation with a temperature which is given in terms of a cut-off time excluding the spacetime regions very close to the initial singularity. We discuss the interrelation between this result and the result obtained in a two-dimensional schwarzschild spacetime.

[ { "created": "Sun, 18 Jan 2004 20:21:38 GMT", "version": "v1" } ]

2009-11-10

[ [ "Bisabr", "Yousef", "" ] ]

We establish a connection between the trace anomaly and a thermal radiation in the context of the standard cosmology. This is done by solving the covariant conservation equation of the stress tensor associated with a conformally invariant quantum scalar field. The solution corresponds to a thermal radiation with a temperature which is given in terms of a cut-off time excluding the spacetime regions very close to the initial singularity. We discuss the interrelation between this result and the result obtained in a two-dimensional schwarzschild spacetime.

11.017773

9.590291

9.83046

9.389546

9.634371

9.993339

9.452538

9.45053

9.922696

10.920011

9.524141

10.522004

9.954955

10.098798

10.026201

9.993486

9.995051

9.896152

10.333479

10.047467

9.774336

hep-th/0505198

Branislav Sazdovic

CT-duality as a local property of the world-sheet

Latex, 15 pages, 2 Figures

Mod.Phys.Lett. A20 (2005) 897-910

10.1142/S0217732305017160

null

hep-th

null

In the present article, we study the local features of the world-sheet in the case when probe bosonic string moves in antisymmetric background field. We generalize the geometry of surfaces embedded in space-time to the case when the torsion is present. We define the mean extrinsic curvature for spaces with Minkowski signature and introduce the concept of mean torsion. Its orthogonal projection defines the dual mean extrinsic curvature. In this language, the field equation is just the equality of mean extrinsic curvature and extrinsic mean torsion, which we call CT-duality. To the world-sheet described by this relation we will refer as CT-dual surface.

[ { "created": "Mon, 23 May 2005 12:23:50 GMT", "version": "v1" } ]

2009-11-11

[ [ "Sazdovic", "Branislav", "" ] ]

In the present article, we study the local features of the world-sheet in the case when probe bosonic string moves in antisymmetric background field. We generalize the geometry of surfaces embedded in space-time to the case when the torsion is present. We define the mean extrinsic curvature for spaces with Minkowski signature and introduce the concept of mean torsion. Its orthogonal projection defines the dual mean extrinsic curvature. In this language, the field equation is just the equality of mean extrinsic curvature and extrinsic mean torsion, which we call CT-duality. To the world-sheet described by this relation we will refer as CT-dual surface.

13.190679

12.432794

12.194261

12.164407

11.703074

13.12959

12.432506

11.184004

12.505778

13.125183

11.067025

11.23592

12.185882

11.439356

12.171657

12.035002

11.916069

11.342139

11.400715

12.162229

11.535141

1107.5337

Roberto Valandro

Andreas P. Braun, Andres Collinucci, Roberto Valandro

G-flux in F-theory and algebraic cycles

55 pages, 1 figure; added refs, corrected typos

null

10.1016/j.nuclphysb.2011.10.034

TUW-11-19; LMU-ASC 33/11; ZMP-HH/11-13

hep-th math.AG

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

We construct explicit G4 fluxes in F-theory compactifications. Our method relies on identifying algebraic cycles in the Weierstrass equation of elliptic Calabi-Yau fourfolds. We show how to compute the D3-brane tadpole and the induced chirality indices directly in F-theory. Whenever a weak coupling limit is available, we compare and successfully match our findings to the corresponding results in type IIB string theory. Finally, we present some generalizations of our results which hint at a unified description of the elliptic Calabi-Yau fourfold together with the four-form flux G4 as a coherent sheaf. In this description the close link between G4 fluxes and algebraic cycles is manifest.

[ { "created": "Tue, 26 Jul 2011 21:14:21 GMT", "version": "v1" }, { "created": "Wed, 10 Aug 2011 16:28:05 GMT", "version": "v2" }, { "created": "Sun, 26 Feb 2012 12:14:07 GMT", "version": "v3" } ]

2015-05-28

[ [ "Braun", "Andreas P.", "" ], [ "Collinucci", "Andres", "" ], [ "Valandro", "Roberto", "" ] ]

We construct explicit G4 fluxes in F-theory compactifications. Our method relies on identifying algebraic cycles in the Weierstrass equation of elliptic Calabi-Yau fourfolds. We show how to compute the D3-brane tadpole and the induced chirality indices directly in F-theory. Whenever a weak coupling limit is available, we compare and successfully match our findings to the corresponding results in type IIB string theory. Finally, we present some generalizations of our results which hint at a unified description of the elliptic Calabi-Yau fourfold together with the four-form flux G4 as a coherent sheaf. In this description the close link between G4 fluxes and algebraic cycles is manifest.

8.844609

8.199073

10.977684

8.194964

8.987362

8.063648

8.443957

8.397943

8.303933

9.939944

8.594954

8.362438

9.556393

8.310106

8.122438

8.099025

8.108589

8.329119

8.450711

9.202584

8.152511

1406.6351

Blaise Gout\'eraux

Aristomenis Donos, Blaise Gout\'eraux and Elias Kiritsis

Holographic Metals and Insulators with Helical Symmetry

v2: references added. v1: 28 pages + appendices, 4 figures

JHEP 09 (2014) 038

10.1007/JHEP09(2014)038

CCTP-2014-6, CCQCN-2014-26, CERN-PH-TH/2014-035, NORDITA-2014-76

hep-th cond-mat.str-el

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

Homogeneous, zero temperature scaling solutions with Bianchi VII spatial geometry are constructed in Einstein-Maxwell-Dilaton theory. They correspond to quantum critical saddle points with helical symmetry at finite density. Assuming $AdS_{5}$ UV asymptotics, the small frequency/(temperature) dependence of the AC/(DC) electric conductivity along the director of the helix are computed. A large class of insulating and conducting anisotropic phases is found, as well as isotropic, metallic phases. Conduction can be dominated by dissipation due to weak breaking of translation symmetry or by a quantum critical current.

[ { "created": "Tue, 24 Jun 2014 19:48:22 GMT", "version": "v1" }, { "created": "Wed, 17 Sep 2014 19:44:43 GMT", "version": "v2" } ]

2014-09-18

[ [ "Donos", "Aristomenis", "" ], [ "Goutéraux", "Blaise", "" ], [ "Kiritsis", "Elias", "" ] ]

Homogeneous, zero temperature scaling solutions with Bianchi VII spatial geometry are constructed in Einstein-Maxwell-Dilaton theory. They correspond to quantum critical saddle points with helical symmetry at finite density. Assuming $AdS_{5}$ UV asymptotics, the small frequency/(temperature) dependence of the AC/(DC) electric conductivity along the director of the helix are computed. A large class of insulating and conducting anisotropic phases is found, as well as isotropic, metallic phases. Conduction can be dominated by dissipation due to weak breaking of translation symmetry or by a quantum critical current.

19.704967

19.711454

21.892256

18.579735

19.864744

20.328196

18.245857

18.432295

17.353632

23.300774

19.047405

17.154579

19.580046

19.084921

17.986776

18.388851

18.016874

18.867275

18.268021

20.951366

17.141104

1408.3320

Charlotte Kristjansen

J. Hutchinson (University of British Columbia), C. Kristjansen (Bohr Inst., Copenhagen University) and G.W. Semenoff (University of British Columbia)

Conductivity Tensor in a Holographic Quantum Hall Ferromagnet

7 pages, double column format, 4 figures

null

10.1016/j.physletb.2014.10.004

null

hep-th cond-mat.str-el

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

The Hall and longitudinal conductivities of a recently studied holographic model of a quantum Hall ferromagnet are computed using the Karch-O'Bannon technique. In addition, the low temperature entropy of the model is determined. The holographic model has a phase transition as the Landau level filling fraction is increased from zero to one. We argue that this phase transition allows the longitudinal conductivity to have features qualitatively similar to those of two dimensional electron gases in the integer quantum Hall regime. The argument also applies to the low temperature limit of the entropy. The Hall conductivity is found to have an interesting structure. Even though it does not exhibit Hall plateaux, it has a flattened dependence on the filling fraction with a jump, analogous to the interpolation between Hall plateaux, at the phase transition.

[ { "created": "Thu, 14 Aug 2014 15:37:23 GMT", "version": "v1" } ]

2015-12-30

[ [ "Hutchinson", "J.", "", "University of British Columbia" ], [ "Kristjansen", "C.", "", "Bohr\n Inst., Copenhagen University" ], [ "Semenoff", "G. W.", "", "University of British\n Columbia" ] ]

The Hall and longitudinal conductivities of a recently studied holographic model of a quantum Hall ferromagnet are computed using the Karch-O'Bannon technique. In addition, the low temperature entropy of the model is determined. The holographic model has a phase transition as the Landau level filling fraction is increased from zero to one. We argue that this phase transition allows the longitudinal conductivity to have features qualitatively similar to those of two dimensional electron gases in the integer quantum Hall regime. The argument also applies to the low temperature limit of the entropy. The Hall conductivity is found to have an interesting structure. Even though it does not exhibit Hall plateaux, it has a flattened dependence on the filling fraction with a jump, analogous to the interpolation between Hall plateaux, at the phase transition.

8.595013

7.886235

9.115054

7.497435

8.052444

8.171309

8.321046

7.701156

7.278643

9.492211

7.835617

7.384467

8.379581

7.610168

7.53899

7.533564

7.494157

7.819813

7.665327

7.912651

7.442976

1802.05069

Avik Banerjee

Avik Banerjee, Arnab Kundu, Augniva Ray

Scale invariance with fundamental matters and anomaly: A holographic description

29 pages , 1 figure

null

10.1007/JHEP06(2018)144

null

hep-th

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

Generally, quantum field theories can be thought as deformations away from conformal field theories. In this article, with a simple bottom up model assumed to possess a holographic description, we study a putative large N quantum field theory with large and arbitrary number of adjoint and fundamental degrees of freedom and a non-vanishing chiral anomaly, in the presence of an external magnetic field and with a non-vanishing density. Motivated by the richness of quantum chromodynamics under similar condition, we explore the solution space to find an infinite class of scale-invariant, but not conformal, field theories that may play a pivotal role in defining the corresponding physics. In particular, we find two classes of geometries: Schrodinger isometric and warped AdS_3 geometries with an SL(2,R) X U(1) isometry. We find hints of spontaneous breaking of translational symmetry, at low temperatures, around the warped backgrounds.

[ { "created": "Wed, 14 Feb 2018 12:39:05 GMT", "version": "v1" } ]

2018-08-01

[ [ "Banerjee", "Avik", "" ], [ "Kundu", "Arnab", "" ], [ "Ray", "Augniva", "" ] ]

Generally, quantum field theories can be thought as deformations away from conformal field theories. In this article, with a simple bottom up model assumed to possess a holographic description, we study a putative large N quantum field theory with large and arbitrary number of adjoint and fundamental degrees of freedom and a non-vanishing chiral anomaly, in the presence of an external magnetic field and with a non-vanishing density. Motivated by the richness of quantum chromodynamics under similar condition, we explore the solution space to find an infinite class of scale-invariant, but not conformal, field theories that may play a pivotal role in defining the corresponding physics. In particular, we find two classes of geometries: Schrodinger isometric and warped AdS_3 geometries with an SL(2,R) X U(1) isometry. We find hints of spontaneous breaking of translational symmetry, at low temperatures, around the warped backgrounds.

12.133622

11.236043

12.885274

10.825102

11.041446

11.06491

10.910686

10.311515

10.841226

12.772834

11.381511

11.207961

11.868942

11.258622

10.957154

11.349083

11.245108

11.402538

11.372291

12.033955

11.161955

1705.09120

Takafumi Okubo

Katsushi Ito, Shoichi Kanno, Takafumi Okubo

Quantum periods and prepotential in ${\cal N}=2$ SU(2) SQCD

1+40 pages, 3 figures, v2: references added; v3: typos corrected

null

10.1007/JHEP08(2017)065

TIT/HEP-660

hep-th

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

We study ${\cal N}=2$ SU(2) supersymmetric QCD with massive hypermultiplets deformed in the Nekrasov-Shatashvili limit of the Omega-background. The prepotential of the low-energy effective theory is determined by the WKB solution of the quantum Seiberg-Witten curve. We calculate the deformed Seiberg-Witten periods around the massless monoplole point explicitly up to the fourth order in the deformation parameter.

[ { "created": "Thu, 25 May 2017 10:21:01 GMT", "version": "v1" }, { "created": "Wed, 31 May 2017 12:48:30 GMT", "version": "v2" }, { "created": "Fri, 1 Mar 2019 06:35:48 GMT", "version": "v3" } ]

2019-03-04

[ [ "Ito", "Katsushi", "" ], [ "Kanno", "Shoichi", "" ], [ "Okubo", "Takafumi", "" ] ]

We study ${\cal N}=2$ SU(2) supersymmetric QCD with massive hypermultiplets deformed in the Nekrasov-Shatashvili limit of the Omega-background. The prepotential of the low-energy effective theory is determined by the WKB solution of the quantum Seiberg-Witten curve. We calculate the deformed Seiberg-Witten periods around the massless monoplole point explicitly up to the fourth order in the deformation parameter.

4.713807

4.432595

5.626661

4.245298

4.400235

4.288549

4.141815

4.025316

4.378597

6.342163

4.286758

4.473852

4.862623

4.597556

4.487239

4.559816

4.368901

4.486545

4.657114

4.950106

4.446527

hep-th/0106242

Vipul Periwal

David J. Gross and Vipul Periwal

String field theory, non-commutative Chern-Simons theory and Lie algebra cohomology

10 pages, RevTeX

JHEP 0108 (2001) 008

10.1088/1126-6708/2001/08/008

ITP 01-64, PUPT-1994

hep-th

null

Motivated by noncommutative Chern-Simons theory, we construct an infinite class of field theories that satisfy the axioms of Witten's string field theory. These constructions have no propagating open string degrees of freedom. We demonstrate the existence of non-trivial classical solutions. We find Wilson loop-like observables in these examples.

[ { "created": "Tue, 26 Jun 2001 17:43:02 GMT", "version": "v1" } ]

2009-11-07

[ [ "Gross", "David J.", "" ], [ "Periwal", "Vipul", "" ] ]

Motivated by noncommutative Chern-Simons theory, we construct an infinite class of field theories that satisfy the axioms of Witten's string field theory. These constructions have no propagating open string degrees of freedom. We demonstrate the existence of non-trivial classical solutions. We find Wilson loop-like observables in these examples.

10.736428

9.118397

11.345312

9.336046

8.99242

9.098754

8.673067

9.177504

8.961944

10.034377

8.622556

10.289236

10.823482

9.830955

9.354845

10.147519

9.687195

9.619019

9.452376

10.872

9.229454

hep-th/9209045

Ramy Brustein

Ram Brustein and Burt Ovrut

Stringy Instantons

12 pages, One figure not included, available as eps file on request

Phys.Lett. B309 (1993) 45-52

10.1016/0370-2693(93)91501-D

UPR-522T

hep-th

null

A canonical Lorentz invariant field theory extension of collective field theory of d=1 matrix models is presented. We show that the low density, discrete, sector of collective field theory includes single eigenvalue Euclidean instantons which tunnel between different vacua of the extended theory. These "stringy" instantons induce non-perturbative effective operators of strength $e^{-{1/g}}$. The relationship of the world sheet description of string theory and Liouville theory to the effective space-time theory is explained.

[ { "created": "Mon, 14 Sep 1992 14:40:15 GMT", "version": "v1" } ]

2009-10-22

[ [ "Brustein", "Ram", "" ], [ "Ovrut", "Burt", "" ] ]

A canonical Lorentz invariant field theory extension of collective field theory of d=1 matrix models is presented. We show that the low density, discrete, sector of collective field theory includes single eigenvalue Euclidean instantons which tunnel between different vacua of the extended theory. These "stringy" instantons induce non-perturbative effective operators of strength $e^{-{1/g}}$. The relationship of the world sheet description of string theory and Liouville theory to the effective space-time theory is explained.

19.343691

15.733372

19.615658

14.569726

17.553146

18.076138

17.344452

14.35994

14.539301

20.925503

15.35751

15.929048

17.878233

16.511543

16.438465

16.572533

16.954504

16.297106

16.185917

17.900152

15.498865

hep-th/0406015

Stefano Bellucci

S. Bellucci, E. Ivanov, S. Krivonos, O. Lechtenfeld

ABC of N=8, d=1 supermultiplets

28 pages

Nucl.Phys. B699 (2004) 226-252

10.1016/j.nuclphysb.2004.08.006

ITP-UH-12/04

hep-th

null

We construct a variety of off-shell $N{=}8, d{=}1$ supermultiplets with finite numbers of component fields as direct sums of properly constrained $N{=}4, d{=}1$ superfields. We also show how these multiplets can be described in $N{=}8, d{=}1$ superspace where the whole amount of supersymmetry is manifest. Some of these multiplets can be obtained by dimensional reduction {}from $N{=}2$ multiplets in $d{=}4$, whereas others cannot. We give examples of invariant superfield actions for the multiplets constructed, including $N{=}8$ superconformally invariant ones.

[ { "created": "Tue, 1 Jun 2004 18:54:03 GMT", "version": "v1" } ]

2009-11-10

[ [ "Bellucci", "S.", "" ], [ "Ivanov", "E.", "" ], [ "Krivonos", "S.", "" ], [ "Lechtenfeld", "O.", "" ] ]

We construct a variety of off-shell $N{=}8, d{=}1$ supermultiplets with finite numbers of component fields as direct sums of properly constrained $N{=}4, d{=}1$ superfields. We also show how these multiplets can be described in $N{=}8, d{=}1$ superspace where the whole amount of supersymmetry is manifest. Some of these multiplets can be obtained by dimensional reduction {}from $N{=}2$ multiplets in $d{=}4$, whereas others cannot. We give examples of invariant superfield actions for the multiplets constructed, including $N{=}8$ superconformally invariant ones.

5.316878

4.81325

6.278524

4.969342

4.886579

4.910791

4.817111

4.452009

4.910235

6.375037

4.830904

5.035683

5.815604

5.136425

5.121059

5.100036

5.105945

5.074499

4.975882

5.763163

4.987842

hep-th/0510102

Valentina Riva

G. Mussardo, V. Riva, G. Sotkov and G. Delfino

Kink scaling functions in 2D non--integrable quantum field theories

30 pages, 10 figures

Nucl.Phys.B736:259-287,2006

10.1016/j.nuclphysb.2005.12.008

null

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

null

We determine the semiclassical energy levels for the \phi^4 field theory in the broken symmetry phase on a 2D cylindrical geometry with antiperiodic boundary conditions by quantizing the appropriate finite--volume kink solutions. The analytic form of the kink scaling functions for arbitrary size of the system allows us to describe the flow between the twisted sector of c=1 CFT in the UV region and the massive particles in the IR limit. Kink-creating operators are shown to correspond in the UV limit to disorder fields of the c=1 CFT. The problem of the finite--volume spectrum for generic 2D Landau--Ginzburg models is also discussed.

[ { "created": "Wed, 12 Oct 2005 17:32:28 GMT", "version": "v1" } ]

2008-11-26

[ [ "Mussardo", "G.", "" ], [ "Riva", "V.", "" ], [ "Sotkov", "G.", "" ], [ "Delfino", "G.", "" ] ]

We determine the semiclassical energy levels for the \phi^4 field theory in the broken symmetry phase on a 2D cylindrical geometry with antiperiodic boundary conditions by quantizing the appropriate finite--volume kink solutions. The analytic form of the kink scaling functions for arbitrary size of the system allows us to describe the flow between the twisted sector of c=1 CFT in the UV region and the massive particles in the IR limit. Kink-creating operators are shown to correspond in the UV limit to disorder fields of the c=1 CFT. The problem of the finite--volume spectrum for generic 2D Landau--Ginzburg models is also discussed.

11.888008

10.553676

12.025932

10.772197

10.259183

10.497248

10.796016

9.705884

10.456936

13.372071

10.328683

11.140736

11.994303

10.769806

11.102515

10.949079

11.186294

10.839596

11.131533

11.451584

11.076115

hep-th/9808082

Hans-Peter Pavel

A.M. Khvedelidze and H.-P. Pavel

Hamiltonian Reduction of SU(2) Yang-Mills Field Theory

4 pages REVTEX twoloumn

null

MPG-VT-UR 157/98

hep-th

null

The unconstrained system equivalent to SU(2) Yang-Mills field theory is obtained in the framework of the generalized Hamiltonian formalism using the method of Hamiltonian reduction. The reduced system is expressed in terms of fields which transform as spin zero and spin two under spatial rotations.

[ { "created": "Thu, 13 Aug 1998 22:37:31 GMT", "version": "v1" } ]

2007-05-23

[ [ "Khvedelidze", "A. M.", "" ], [ "Pavel", "H. -P.", "" ] ]

The unconstrained system equivalent to SU(2) Yang-Mills field theory is obtained in the framework of the generalized Hamiltonian formalism using the method of Hamiltonian reduction. The reduced system is expressed in terms of fields which transform as spin zero and spin two under spatial rotations.

10.899992

7.568803

9.87737

8.363323

8.655188

7.818186

8.147764

7.365745

8.296399

11.401895

8.348241

7.734951

9.800847

8.523084

8.050853

8.518728

8.216542

7.942455

8.506228

9.008368

8.666346

hep-th/0006148

Burkhard Kleihaus

B. Kleihaus (University College, Dublin) and J. Kunz (University Oldenburg)

Monopole-Anitmonopole Solutions of Einstein-Yang-Mills-Higgs Theory

9 pages, including 3 eps figures, LaTex format

Phys.Rev.Lett. 85 (2000) 2430-2433

10.1103/PhysRevLett.85.2430

null

hep-th gr-qc

null

We construct static axially symmetric solutions of SU(2) Einstein-Yang-Mills-Higgs theory in the topologically trivial sector, representing gravitating monopole--antimonopole pairs, linked to the Bartnik-McKinnon solutions.

[ { "created": "Tue, 20 Jun 2000 16:04:45 GMT", "version": "v1" } ]

2009-10-31

[ [ "Kleihaus", "B.", "", "University College, Dublin" ], [ "Kunz", "J.", "", "University\n Oldenburg" ] ]

We construct static axially symmetric solutions of SU(2) Einstein-Yang-Mills-Higgs theory in the topologically trivial sector, representing gravitating monopole--antimonopole pairs, linked to the Bartnik-McKinnon solutions.

7.369052

5.387671

5.009852

5.223749

4.570981

5.316755

4.765952

5.193182

4.625282

6.218914

5.305606

5.764383

6.218337

5.560966

5.773009

5.791129

5.526902

5.595252

5.742955

5.909906

5.607372

1604.06331

M. Ilyas

Hao Xu, M. Ilyas and Yong-Chang Huang

Holographic Schwinger effect with a rotating probe D3-brane

16 pages, 10 figures

Advances in High Energy Physics, V. 2023 | Article ID 6614276

10.1155/2023/6614276

ITP No. 02, BJUT, new revised paper see Journal-ref

hep-th

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

This paper, among other things, talks about possible research on the holographic Schwinger effect with a rotating probe D3-brane. We discover that for the zero temperature case in the Schwinger effect, the faster the angular velocity and the farther the distance of the test particle pair at D3-brane, the potential barrier of total potential energy also grows higher and wider. This paper shows that at a finite temperature, when $S^5$ without rotation is close to the horizon, the Schwinger effect fails because the particles remain in an annihilate state, which is an absolute vacuum state. However, the angular velocity in $S^5$ will avoid the existence of an absolute vacuum near the horizon. For both zero and finite temperature states, the achieved results completely agree with the results of the Dirac-Born-Infeld (DBI) action. So the theories in this paper are consistent. All of these show that these theories will play important roles in future pair production research.

[ { "created": "Thu, 21 Apr 2016 14:48:06 GMT", "version": "v1" }, { "created": "Fri, 22 Apr 2016 15:16:29 GMT", "version": "v2" }, { "created": "Wed, 1 Mar 2023 05:29:24 GMT", "version": "v3" }, { "created": "Fri, 18 Aug 2023 10:06:57 GMT", "version": "v4" } ]

2023-08-21

[ [ "Xu", "Hao", "" ], [ "Ilyas", "M.", "" ], [ "Huang", "Yong-Chang", "" ] ]

This paper, among other things, talks about possible research on the holographic Schwinger effect with a rotating probe D3-brane. We discover that for the zero temperature case in the Schwinger effect, the faster the angular velocity and the farther the distance of the test particle pair at D3-brane, the potential barrier of total potential energy also grows higher and wider. This paper shows that at a finite temperature, when $S^5$ without rotation is close to the horizon, the Schwinger effect fails because the particles remain in an annihilate state, which is an absolute vacuum state. However, the angular velocity in $S^5$ will avoid the existence of an absolute vacuum near the horizon. For both zero and finite temperature states, the achieved results completely agree with the results of the Dirac-Born-Infeld (DBI) action. So the theories in this paper are consistent. All of these show that these theories will play important roles in future pair production research.

14.757177

14.42679

15.040697

12.803916

14.441334

14.274317

13.927033

14.915447

13.480556

16.043633

13.795039

13.808642

13.673265

13.168365

13.476782

13.633431

13.488168

13.538455

13.23639

13.915833

13.731586

hep-th/9712233

Julie D. Blum

NS Branes in Type I Theory

6 pages, Harvmac.tex, updated reference

Phys.Lett.B425:55-58,1998

10.1016/S0370-2693(98)00117-8

null

hep-th

null

We consider novel nonperturbative effects of type I theories compactified on singular ALE spaces obtained by adding NS branes. Such effects include a description of small $E_8$ instantons at singularities.

[ { "created": "Fri, 26 Dec 1997 05:37:36 GMT", "version": "v1" }, { "created": "Mon, 3 Aug 1998 04:20:00 GMT", "version": "v2" } ]

2009-08-18

[ [ "Blum", "Julie D.", "" ] ]

We consider novel nonperturbative effects of type I theories compactified on singular ALE spaces obtained by adding NS branes. Such effects include a description of small $E_8$ instantons at singularities.

22.447042

14.343279

23.234289

14.768728

17.116144

15.170724

14.749762

13.16923

15.464858

20.881496

15.282526

16.278271

19.736528

16.380171

15.676398

16.605312

16.123075

15.613297

17.040823

21.762722

15.506012

1011.5900

Vasilis Niarchos

Elias Kiritsis and Vasilis Niarchos (University of Crete)

Large-N limits of 2d CFTs, Quivers and AdS_3 duals

latex, 54pages; v2 minor changes, addition of a new appendix on YM-CS theories on AdS3, version published in JHEP; v3 several misprints have been corrected in the formulae of section 5

JHEP 1104:113,2011

10.1007/JHEP04(2011)113

CCTP-2010-19

hep-th

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

We explore the large-N limits of 2d CFTs, focusing mostly on WZW models and their cosets. The $SU(N)_k$ theory is parametrized in this limit by a 't Hooft-like coupling. We show a duality between strong coupling, where the theory is described by almost free fermions, and weak coupling where the theory is described by bosonic fields by an analysis of spectra and correlators. The AdS$_3$ dual is described, and several quantitative checks are performed. Besides the more standard states that should correspond to bulk black holes we find ground states with large degeneracy that can dominate the standard Cardy entropy at weak coupling and are expected to correspond to regular horizonless semiclassical bulk solutions.

[ { "created": "Thu, 25 Nov 2010 23:00:50 GMT", "version": "v1" }, { "created": "Sun, 29 May 2011 08:22:54 GMT", "version": "v2" }, { "created": "Fri, 16 Aug 2013 13:56:19 GMT", "version": "v3" } ]

2013-08-19

[ [ "Kiritsis", "Elias", "", "University of Crete" ], [ "Niarchos", "Vasilis", "", "University of Crete" ] ]

We explore the large-N limits of 2d CFTs, focusing mostly on WZW models and their cosets. The $SU(N)_k$ theory is parametrized in this limit by a 't Hooft-like coupling. We show a duality between strong coupling, where the theory is described by almost free fermions, and weak coupling where the theory is described by bosonic fields by an analysis of spectra and correlators. The AdS$_3$ dual is described, and several quantitative checks are performed. Besides the more standard states that should correspond to bulk black holes we find ground states with large degeneracy that can dominate the standard Cardy entropy at weak coupling and are expected to correspond to regular horizonless semiclassical bulk solutions.

12.18268

11.626247

12.504138

11.229891

11.359901

12.640139

12.615149

11.42487

11.606395

13.778007

10.85825

11.177302

12.437424

11.352998

11.849727

11.431849

11.297403

11.318934

11.177774

12.347773

11.422843

0909.2730

Derek Harland

Derek Harland, Tatiana A. Ivanova, Olaf Lechtenfeld, and Alexander D. Popov

Yang-Mills flows on nearly Kaehler manifolds and G_2-instantons

1+21 pages, 3 figures v2: clarifying comments and references added, published version

Commun.Math.Phys.300:185-204,2010

10.1007/s00220-010-1115-7

ITP-UH-13/09

hep-th math.DG

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

We consider Lie(G)-valued G-invariant connections on bundles over spaces G/H, RxG/H and R^2xG/H, where G/H is a compact nearly Kaehler six-dimensional homogeneous space, and the manifolds RxG/H and R^2xG/H carry G_2- and Spin(7)-structures, respectively. By making a G-invariant ansatz, Yang-Mills theory with torsion on RxG/H is reduced to Newtonian mechanics of a particle moving in a plane with a quartic potential. For particular values of the torsion, we find explicit particle trajectories, which obey first-order gradient or hamiltonian flow equations. In two cases, these solutions correspond to anti-self-dual instantons associated with one of two G_2-structures on RxG/H. It is shown that both G_2-instanton equations can be obtained from a single Spin(7)-instanton equation on R^2xG/H.

[ { "created": "Tue, 15 Sep 2009 08:54:58 GMT", "version": "v1" }, { "created": "Tue, 13 Apr 2010 14:24:31 GMT", "version": "v2" } ]

2010-10-06

[ [ "Harland", "Derek", "" ], [ "Ivanova", "Tatiana A.", "" ], [ "Lechtenfeld", "Olaf", "" ], [ "Popov", "Alexander D.", "" ] ]

We consider Lie(G)-valued G-invariant connections on bundles over spaces G/H, RxG/H and R^2xG/H, where G/H is a compact nearly Kaehler six-dimensional homogeneous space, and the manifolds RxG/H and R^2xG/H carry G_2- and Spin(7)-structures, respectively. By making a G-invariant ansatz, Yang-Mills theory with torsion on RxG/H is reduced to Newtonian mechanics of a particle moving in a plane with a quartic potential. For particular values of the torsion, we find explicit particle trajectories, which obey first-order gradient or hamiltonian flow equations. In two cases, these solutions correspond to anti-self-dual instantons associated with one of two G_2-structures on RxG/H. It is shown that both G_2-instanton equations can be obtained from a single Spin(7)-instanton equation on R^2xG/H.

6.716432

6.083313

7.597771

6.168535

6.56185

6.537799

6.405415

6.218303

6.548003

8.083364

6.74151

6.537294

6.896115

6.711403

6.499196

6.493731

6.505164

6.472128

6.614875

7.078953

6.412296

hep-th/0201178

Henric Larsson

Light-like noncommutativity and duality from open strings/branes

24 pages, Latex. v2:Comments and references added. v3:Version published in JHEP

JHEP 0203 (2002) 037

10.1088/1126-6708/2002/03/037

null

hep-th

null

In this paper we perform some non-trivial tests for the recently obtained open membrane/D-brane metrics and `generalized' noncommutativity parameters using Dp/NS5/M5-branes which have been deformed by light-like fields. The results obtained give further evidence that these open membrane/D-brane metrics and `generalized' noncommutativity parameters are correct. Further, we use the open brane data and supergravity duals to obtain more information about non-gravitational theories with light-like noncommutativity, or `generalized' light-like noncommutativity. In particular, we investigate various duality relations (strong coupling limits). In the light-like case we also comment on the relation between open membrane data (open membrane metric etc.) in six dimensions and open string data in five dimensions. Finally, we investigate the strong coupling limit (high energy limit) of five dimensional NCYM with \Theta^{12}=\Theta^{34}. In particular, we find that this NCYM theory can be UV completed by a DLCQ compactification of M-theory.

[ { "created": "Wed, 23 Jan 2002 10:21:54 GMT", "version": "v1" }, { "created": "Tue, 29 Jan 2002 13:53:48 GMT", "version": "v2" }, { "created": "Tue, 9 Apr 2002 10:52:07 GMT", "version": "v3" } ]

2009-11-07

[ [ "Larsson", "Henric", "" ] ]

In this paper we perform some non-trivial tests for the recently obtained open membrane/D-brane metrics and `generalized' noncommutativity parameters using Dp/NS5/M5-branes which have been deformed by light-like fields. The results obtained give further evidence that these open membrane/D-brane metrics and `generalized' noncommutativity parameters are correct. Further, we use the open brane data and supergravity duals to obtain more information about non-gravitational theories with light-like noncommutativity, or `generalized' light-like noncommutativity. In particular, we investigate various duality relations (strong coupling limits). In the light-like case we also comment on the relation between open membrane data (open membrane metric etc.) in six dimensions and open string data in five dimensions. Finally, we investigate the strong coupling limit (high energy limit) of five dimensional NCYM with \Theta^{12}=\Theta^{34}. In particular, we find that this NCYM theory can be UV completed by a DLCQ compactification of M-theory.

10.47287

9.501169

10.898498

9.434119

9.763708

9.89861

9.623737

9.303885

9.408689

12.699149

9.344174

9.224907

10.134027

9.214328

9.556153

9.417305

9.485008

9.320771

9.160781

10.184525

9.270879

1107.3144

Benjamin Koch

Benjamin Koch and Nicolas Rojas

Exploring a Tractable Lagrangian for Arbitrary Spin

17 pages, 3 figures

null

hep-th hep-ph

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

A simple Lagrangian is proposed that by the choice of the representation of SU(2), gives rise to field equations for arbitrary spin. In explicit examples it is shown, how the Klein-Gordon, the Dirac, and the Proca equation can be obtained from this Lagrangian. On the same footing, field equations for arbitrary spin are given. Finally, symmetries are discussed, the fields are quantized, their statistics is deduced, and Feynman rules are derived.

[ { "created": "Fri, 15 Jul 2011 19:29:14 GMT", "version": "v1" }, { "created": "Mon, 26 Mar 2012 19:27:21 GMT", "version": "v2" }, { "created": "Mon, 29 Oct 2012 19:45:57 GMT", "version": "v3" } ]

2012-10-30

[ [ "Koch", "Benjamin", "" ], [ "Rojas", "Nicolas", "" ] ]

A simple Lagrangian is proposed that by the choice of the representation of SU(2), gives rise to field equations for arbitrary spin. In explicit examples it is shown, how the Klein-Gordon, the Dirac, and the Proca equation can be obtained from this Lagrangian. On the same footing, field equations for arbitrary spin are given. Finally, symmetries are discussed, the fields are quantized, their statistics is deduced, and Feynman rules are derived.

8.894893

8.464127

7.852448

7.402996

7.726263

7.570487

8.088264

7.487102

7.857447

8.456629

7.688344

7.715652

7.446173

7.35183

7.619098

7.529692

7.362066

7.591891

7.42576

7.670561

7.488969

2009.00518

Michael Stone

Gamma matrices, Majorana fermions, and discrete symmetries in Minkowski and Euclidean signature

43 pages, LaTeX. Revised version has additional material on symplectic Majoranas and continuous symmetries

null

hep-th

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

I describe the interplay between Minkowski and Euclidean signature gamma matrices, Majorana fermions, and discrete and continuous symmetries in all spacetime dimensions.

[ { "created": "Tue, 1 Sep 2020 15:34:01 GMT", "version": "v1" }, { "created": "Mon, 6 Dec 2021 17:04:30 GMT", "version": "v2" } ]

2021-12-07

[ [ "Stone", "Michael", "" ] ]

I describe the interplay between Minkowski and Euclidean signature gamma matrices, Majorana fermions, and discrete and continuous symmetries in all spacetime dimensions.

15.70523

12.293846

12.819898

12.36587

12.355515

8.945373

9.38218

10.906875

10.49871

13.910384

10.641271

11.15844

11.445054

11.33473

11.269811

11.605907

10.911521

10.427578

11.651471

10.961168

10.2399

0909.5185

Pietro Galli

Pietro Galli, Jan Perz

Non-supersymmetric extremal multicenter black holes with superpotentials

17 pages, v2: some clarifications added

JHEP 1002:102,2010

10.1007/JHEP02(2010)102

IFUM-946-FT, KUL-TF-09/19

hep-th

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

Using the superpotential approach we generalize Denef's method of deriving and solving first-order equations describing multicenter extremal black holes in four-dimensional N = 2 supergravity to allow non-supersymmetric solutions. We illustrate the general results with an explicit example of the stu model.

[ { "created": "Tue, 29 Sep 2009 19:29:20 GMT", "version": "v1" }, { "created": "Tue, 9 Mar 2010 16:42:30 GMT", "version": "v2" } ]

2010-03-10

[ [ "Galli", "Pietro", "" ], [ "Perz", "Jan", "" ] ]

Using the superpotential approach we generalize Denef's method of deriving and solving first-order equations describing multicenter extremal black holes in four-dimensional N = 2 supergravity to allow non-supersymmetric solutions. We illustrate the general results with an explicit example of the stu model.

13.646332

11.834864

13.718037

11.883115

11.131578

11.402449

12.961722

10.954553

11.031528

14.849287

11.417191

11.684249

11.650549

11.479959

11.76591

11.960316

11.675177

11.951363

11.383533

12.175807

11.395119

hep-th/9905088

Teiji Kunihiro

S.-I. Ei, K. Fujii and T. Kunihiro

Renormalization-group Method for Reduction of Evolution Equations; invariant manifolds and envelopes

67 pages. No figures. v2: Additional discussions on the unstable motion in the the double-well potential are given in the text and the appendix added. Some references are also added. Introduction is somewhat reshaped

Annals Phys. 280 (2000) 236-298

10.1006/aphy.1999.5989

null

hep-th cond-mat gr-qc hep-ph math-ph math.MP nlin.PS nlin.SI patt-sol solv-int

null

The renormalization group (RG) method as a powerful tool for reduction of evolution equations is formulated in terms of the notion of invariant manifolds. We start with derivation of an exact RG equation which is analogous to the Wilsonian RG equations in statistical physics and quantum field theory. It is clarified that the perturbative RG method constructs invariant manifolds successively as the initial value of evolution equations, thereby the meaning to set $t_0=t$ is naturally understood where $t_0$ is the arbitrary initial time. We show that the integral constants in the unperturbative solution constitutes natural coordinates of the invariant manifold when the linear operator $A$ in the evolution equation has no Jordan cell; when $A$ has a Jordan cell, a slight modification is necessary because the dimension of the invariant manifold is increased by the perturbation. The RG equation determines the slow motion of the would-be integral constants in the unperturbative solution on the invariant manifold. We present the mechanical procedure to construct the perturbative solutions hence the initial values with which the RG equation gives meaningful results. The underlying structure of the reduction by the RG method as formulated in the present work turns out to completely fit to the universal one elucidated by Kuramoto some years ago. We indicate that the reduction procedure of evolution equations has a good correspondence with the renormalization procedure in quantum field theory; the counter part of the universal structure of reduction elucidated by Kuramoto may be the Polchinski's theorem for renormalizable field theories. We apply the method to interface dynamics such as kink-anti-kink and soliton-soliton interactions in the latter of which a linear operator having a Jordan-cell structure appears.

[ { "created": "Thu, 13 May 1999 10:25:17 GMT", "version": "v1" }, { "created": "Fri, 14 May 1999 04:30:44 GMT", "version": "v2" }, { "created": "Wed, 29 Sep 1999 08:36:18 GMT", "version": "v3" } ]

2016-09-06

[ [ "Ei", "S. -I.", "" ], [ "Fujii", "K.", "" ], [ "Kunihiro", "T.", "" ] ]

The renormalization group (RG) method as a powerful tool for reduction of evolution equations is formulated in terms of the notion of invariant manifolds. We start with derivation of an exact RG equation which is analogous to the Wilsonian RG equations in statistical physics and quantum field theory. It is clarified that the perturbative RG method constructs invariant manifolds successively as the initial value of evolution equations, thereby the meaning to set $t_0=t$ is naturally understood where $t_0$ is the arbitrary initial time. We show that the integral constants in the unperturbative solution constitutes natural coordinates of the invariant manifold when the linear operator $A$ in the evolution equation has no Jordan cell; when $A$ has a Jordan cell, a slight modification is necessary because the dimension of the invariant manifold is increased by the perturbation. The RG equation determines the slow motion of the would-be integral constants in the unperturbative solution on the invariant manifold. We present the mechanical procedure to construct the perturbative solutions hence the initial values with which the RG equation gives meaningful results. The underlying structure of the reduction by the RG method as formulated in the present work turns out to completely fit to the universal one elucidated by Kuramoto some years ago. We indicate that the reduction procedure of evolution equations has a good correspondence with the renormalization procedure in quantum field theory; the counter part of the universal structure of reduction elucidated by Kuramoto may be the Polchinski's theorem for renormalizable field theories. We apply the method to interface dynamics such as kink-anti-kink and soliton-soliton interactions in the latter of which a linear operator having a Jordan-cell structure appears.

10.586528

11.91599

12.789098

11.652765

11.076157

11.865839

11.809978

12.181695

11.606314

12.960445

10.924515

11.334496

11.281704

10.949097

10.9519

11.111596

11.371736

11.15375

11.156296

11.588668

10.900147

hep-th/0611036

Mees de Roo

Eric A. Bergshoeff, Mees de Roo, Sven F. Kerstan, Tomas Ortin, Fabio Riccioni

SL(2,R)-invariant IIB Brane Actions

15 pages, additional references and remarks in subsection on 3-branes, accepted for publication in JHEP

JHEP 0702:007,2007

10.1088/1126-6708/2007/02/007

UG-06-08, IFT-UAM/CSIC-06-50, KCL-MTH-06-11

hep-th

null

We give a universal SL(2,R)-invariant expression for all IIB p-brane actions with p=-1,1,3,5,7,9. The Wess-Zumino terms in the brane actions are determined by requiring (i) target space gauge invariance and (ii) the presence of a single Born-Infeld vector. We find that for p=7 (p=9) brane actions with these properties only exist for orbits that contain the standard D7-brane (D9-brane). We comment about the actions for the other orbits.

[ { "created": "Fri, 3 Nov 2006 09:04:32 GMT", "version": "v1" }, { "created": "Thu, 18 Jan 2007 08:10:42 GMT", "version": "v2" } ]

2010-10-27

[ [ "Bergshoeff", "Eric A.", "" ], [ "de Roo", "Mees", "" ], [ "Kerstan", "Sven F.", "" ], [ "Ortin", "Tomas", "" ], [ "Riccioni", "Fabio", "" ] ]

We give a universal SL(2,R)-invariant expression for all IIB p-brane actions with p=-1,1,3,5,7,9. The Wess-Zumino terms in the brane actions are determined by requiring (i) target space gauge invariance and (ii) the presence of a single Born-Infeld vector. We find that for p=7 (p=9) brane actions with these properties only exist for orbits that contain the standard D7-brane (D9-brane). We comment about the actions for the other orbits.

9.594108

8.456563

9.25588

8.015583

8.724002

8.649032

8.511473

7.982677

7.658428

10.158863

7.960012

8.417093

8.898159

8.588409

8.743478

8.169602

8.184628

8.277106

8.43621

9.281493

8.206557

1304.7104

Mario Flory

Mario Flory and Ivo Sachs

Dynamical Black Holes in 2+1 Dimensions

27 pages, 5 figures

null

10.1103/PhysRevD.88.044034

LMU-ASC 21/13, MPP-2013-109

hep-th gr-qc

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

We investigate the global structure of a recently discovered simple exact, non-stationary solution of topologically massive and new massive gravity with the asymptotic charges of an undeformed BTZ black hole. We establish the existence of a timelike singularity in the causal structure of the spacetime even in the absence of angular momentum. The dynamical trapping and event horizons are determined and we investigate the evolution of the outer horizon showing that it may increase or decrease with time, depending on the value of the mass parameter. Finally, we test two proposals for dynamical entropy on this solution, one of them depending on the Kodama vector. In addition we show that the Kodama vector leads to the correct entropy for all stationary black holes in 2+1 dimensions.

[ { "created": "Fri, 26 Apr 2013 09:44:35 GMT", "version": "v1" } ]

2013-08-28

[ [ "Flory", "Mario", "" ], [ "Sachs", "Ivo", "" ] ]

We investigate the global structure of a recently discovered simple exact, non-stationary solution of topologically massive and new massive gravity with the asymptotic charges of an undeformed BTZ black hole. We establish the existence of a timelike singularity in the causal structure of the spacetime even in the absence of angular momentum. The dynamical trapping and event horizons are determined and we investigate the evolution of the outer horizon showing that it may increase or decrease with time, depending on the value of the mass parameter. Finally, we test two proposals for dynamical entropy on this solution, one of them depending on the Kodama vector. In addition we show that the Kodama vector leads to the correct entropy for all stationary black holes in 2+1 dimensions.

8.591047

9.023551

8.117552

7.669998

8.57298

8.099019

8.81292

8.125288

8.089977

8.685781

8.19732

8.244988

8.088326

7.769196

8.032006

8.079914

8.451221

7.831796

8.124596

8.329067

8.066227

0904.2766

Ruth Britto

Ruth Britto, Bo Feng

Solving for tadpole coefficients in one-loop amplitudes

9 pages. v2: Eq. (28) corrected, typos fixed, minor improvements

Phys.Lett.B681:376-381,2009

10.1016/j.physletb.2009.10.038

null

hep-th hep-ph

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

One-loop amplitudes may be expanded in a basis of scalar integrals multiplied by rational coefficients. We relate the coefficient of the one-point integral to the coefficients of higher-point integrals, by considering the effects of introducing an additional, unphysical propagator, subject to certain conditions.

[ { "created": "Fri, 17 Apr 2009 19:14:00 GMT", "version": "v1" }, { "created": "Mon, 17 Jan 2011 15:38:29 GMT", "version": "v2" } ]

2011-01-18

[ [ "Britto", "Ruth", "" ], [ "Feng", "Bo", "" ] ]

One-loop amplitudes may be expanded in a basis of scalar integrals multiplied by rational coefficients. We relate the coefficient of the one-point integral to the coefficients of higher-point integrals, by considering the effects of introducing an additional, unphysical propagator, subject to certain conditions.

11.242392

9.236605

9.513713

8.701181

9.355157

10.189497

9.222406

9.2967

8.422021

12.2935

8.865828

9.443773

8.836077

8.476663

8.923602

9.022975

9.31641

9.15808

8.882493

9.13769

9.142855

1310.8416

Jen-Tsung Hsiang

Chen-Pin Yeh, Jen-Tsung Hsiang, and Da-Shin Lee

Holographic Approach to Nonequilibrium Dynamics of Moving Mirrors Coupled to Quantum Critical Theories

17 pages

Phys. Rev. D 89, 066007 (2014)

10.1103/PhysRevD.89.066007

null

hep-th

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

We employ the holographic method to study fluctuations and dissipation of an $n$-dimensional moving mirror coupled to quantum critical theories in $d$ spacetime dimensions. The bulk counterpart of the mirror with perfect reflection is a D$(n+1)$ brane in the Lifshitz geometry of $d+1$ dimensions. The motion of the mirror can be realized from the dynamics of the brane at the boundary of the bulk. The excited modes of the brane in the bulk render the mirror undergoing Brownian motion. For small displacement of the mirror, we derive the analytical results of the correlation functions and response functions. The dynamics of the mirror due to small fluctuations around the brane vacuum state in the bulk is found supraohmic so that after initial growth, the velocity fluctuations approach a saturated value at late time with a power-law behavior. On the contrary, in the Lifshitz black hole background, the mirror in thermal fluctuations shows that its relaxation dynamics becomes ohmic, and the saturation of velocity fluctuations is reached exponentially in time. Finally a comparison is made with the result of a moving mirror driven by free fields.

[ { "created": "Thu, 31 Oct 2013 07:53:23 GMT", "version": "v1" }, { "created": "Mon, 24 Feb 2014 04:58:04 GMT", "version": "v2" } ]

2014-03-19

[ [ "Yeh", "Chen-Pin", "" ], [ "Hsiang", "Jen-Tsung", "" ], [ "Lee", "Da-Shin", "" ] ]

We employ the holographic method to study fluctuations and dissipation of an $n$-dimensional moving mirror coupled to quantum critical theories in $d$ spacetime dimensions. The bulk counterpart of the mirror with perfect reflection is a D$(n+1)$ brane in the Lifshitz geometry of $d+1$ dimensions. The motion of the mirror can be realized from the dynamics of the brane at the boundary of the bulk. The excited modes of the brane in the bulk render the mirror undergoing Brownian motion. For small displacement of the mirror, we derive the analytical results of the correlation functions and response functions. The dynamics of the mirror due to small fluctuations around the brane vacuum state in the bulk is found supraohmic so that after initial growth, the velocity fluctuations approach a saturated value at late time with a power-law behavior. On the contrary, in the Lifshitz black hole background, the mirror in thermal fluctuations shows that its relaxation dynamics becomes ohmic, and the saturation of velocity fluctuations is reached exponentially in time. Finally a comparison is made with the result of a moving mirror driven by free fields.

10.868804

11.078971

12.09832

10.284865

11.581429

10.774889

10.725971

10.570444

10.651978

13.226848

10.320163

10.243782

10.497978

10.460961

10.396454

10.198668

10.492218

10.244998

10.264496

11.060072

9.938661

0709.1952

Shinji Mukohyama

Lev Kofman and Shinji Mukohyama

Rapid roll Inflation with Conformal Coupling

15 pages, version accepted for publication in PRD

Phys.Rev.D77:043519,2008

10.1103/PhysRevD.77.043519

UTAP-583, RESCEU-82/07

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

null

Usual inflation is realized with a slow rolling scalar field minimally coupled to gravity. In contrast, we consider dynamics of a scalar with a flat effective potential, conformally coupled to gravity. Surprisingly, it contains an attractor inflationary solution with the rapidly rolling inflaton field. We discuss models with the conformal inflaton with a flat potential (including hybrid inflation). There is no generation of cosmological fluctuations from the conformally coupled inflaton. We consider realizations of modulated (inhomogeneous reheating) or curvaton cosmological fluctuations in these models. We also implement these unusual features for the popular string-theoretic warped inflationary scenario, based on the interacting D3-anti D3 branes. The original warped brane inflation suffers a large inflaton mass due to conformal coupling to 4-dimensional gravity. Instead of considering this as a problem and trying to cure it with extra engineering, we show that warped inflation with the conformally coupled, rapidly rolling inflaton is yet possible with N=37 efoldings, which requires low energy scales 1-100 TeV of inflation. Coincidentally, the same warping numerology can be responsible for the hierarchy. It is shown that the scalars associated with angular isometries of the warped geometry of compact manifold (e.g. S^3 of KS geometry) have solutions identical to conformally coupled modes and also cannot be responsible for cosmological fluctuations. We discuss other possibilities.

[ { "created": "Thu, 13 Sep 2007 13:57:45 GMT", "version": "v1" }, { "created": "Sat, 19 Jan 2008 16:15:26 GMT", "version": "v2" } ]

2008-11-26

[ [ "Kofman", "Lev", "" ], [ "Mukohyama", "Shinji", "" ] ]

Usual inflation is realized with a slow rolling scalar field minimally coupled to gravity. In contrast, we consider dynamics of a scalar with a flat effective potential, conformally coupled to gravity. Surprisingly, it contains an attractor inflationary solution with the rapidly rolling inflaton field. We discuss models with the conformal inflaton with a flat potential (including hybrid inflation). There is no generation of cosmological fluctuations from the conformally coupled inflaton. We consider realizations of modulated (inhomogeneous reheating) or curvaton cosmological fluctuations in these models. We also implement these unusual features for the popular string-theoretic warped inflationary scenario, based on the interacting D3-anti D3 branes. The original warped brane inflation suffers a large inflaton mass due to conformal coupling to 4-dimensional gravity. Instead of considering this as a problem and trying to cure it with extra engineering, we show that warped inflation with the conformally coupled, rapidly rolling inflaton is yet possible with N=37 efoldings, which requires low energy scales 1-100 TeV of inflation. Coincidentally, the same warping numerology can be responsible for the hierarchy. It is shown that the scalars associated with angular isometries of the warped geometry of compact manifold (e.g. S^3 of KS geometry) have solutions identical to conformally coupled modes and also cannot be responsible for cosmological fluctuations. We discuss other possibilities.

13.262456

16.059612

14.014165

13.694246

14.24665

14.929111

15.428788

13.401734

13.415269

16.296017

13.539045

13.002433

13.040453

12.895776

13.238768

12.91832

12.661923

12.833198

13.074901

13.291992

12.88153

1805.10298

Charles Melby-Thompson

Raimond Abt, Johanna Erdmenger, Marius Gerbershagen, Charles M. Melby-Thompson and Christian Northe

Holographic Subregion Complexity from Kinematic Space

Minor changes. 36 pages, 17 figures

null

10.1007/JHEP01(2019)012

null

hep-th

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

We consider the computation of volumes contained in a spatial slice of AdS$_3$ in terms of observables in a dual CFT. Our main tool is kinematic space, defined either from the bulk perspective as the space of oriented bulk geodesics, or from the CFT perspective as the space of entangling intervals. We give an explicit formula for the volume of a general region in the spatial slice as an integral over kinematic space. For the region lying below a geodesic, we show how to write this volume purely in terms of entangling entropies in the dual CFT. This expression is perhaps most interesting in light of the complexity=volume proposal, which posits that complexity of holographic quantum states is computed by bulk volumes. An extension of this idea proposes that the holographic subregion complexity of an interval, defined as the volume under its Ryu-Takayanagi surface, is a measure of the complexity of the corresponding reduced density matrix. If this is true, our results give an explicit relationship between entanglement and subregion complexity in CFT, at least in the vacuum. We further extend many of our results to conical defect and BTZ black hole geometries.

[ { "created": "Fri, 25 May 2018 18:00:32 GMT", "version": "v1" }, { "created": "Thu, 29 Nov 2018 14:29:44 GMT", "version": "v2" } ]

2019-01-30

[ [ "Abt", "Raimond", "" ], [ "Erdmenger", "Johanna", "" ], [ "Gerbershagen", "Marius", "" ], [ "Melby-Thompson", "Charles M.", "" ], [ "Northe", "Christian", "" ] ]

We consider the computation of volumes contained in a spatial slice of AdS$_3$ in terms of observables in a dual CFT. Our main tool is kinematic space, defined either from the bulk perspective as the space of oriented bulk geodesics, or from the CFT perspective as the space of entangling intervals. We give an explicit formula for the volume of a general region in the spatial slice as an integral over kinematic space. For the region lying below a geodesic, we show how to write this volume purely in terms of entangling entropies in the dual CFT. This expression is perhaps most interesting in light of the complexity=volume proposal, which posits that complexity of holographic quantum states is computed by bulk volumes. An extension of this idea proposes that the holographic subregion complexity of an interval, defined as the volume under its Ryu-Takayanagi surface, is a measure of the complexity of the corresponding reduced density matrix. If this is true, our results give an explicit relationship between entanglement and subregion complexity in CFT, at least in the vacuum. We further extend many of our results to conical defect and BTZ black hole geometries.

6.425549

6.323521

7.305844

6.056032

6.292865

6.173495

6.228516

6.187189

5.990499

7.44348

6.120653

6.199843

6.362939

6.202292

6.226299

6.313552

6.277331

6.133715

6.209305

6.58869

6.373984

1912.11520

Aleksandr Zheltukhin

A. A. Zheltukhin

Brane mechanism of spontaneously generated gravity

8 pages, v2: published in Physics of Particles and Nuclei. Corrected signs, typos

null

10.1134/S1063779620040826

NORDITA-2019-97

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

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

The braneworld scenario is studied and the effective action of 3-brane living in 5-dim. Minkowski space is constructed. This action is proved to be invariant under spontaneously broken scale and Weyl symmetries and to encode a model of quadratic gravity generalizing the Starobinsky model. The symmetry breaking generates the Hilbert-Einstein term with the Newton constant $G_{N}\sim\frac{1}{\mu^{2}}$, where $\mu$ is a mass scale equal to the mean curvature of the vacuum hyper-worldsheet of 3-brane. This result proposes a brane modification of the mechanism of spontaneously generated gravity.

[ { "created": "Tue, 24 Dec 2019 20:29:19 GMT", "version": "v1" }, { "created": "Tue, 30 Jun 2020 21:06:31 GMT", "version": "v2" } ]

2020-09-22

[ [ "Zheltukhin", "A. A.", "" ] ]

The braneworld scenario is studied and the effective action of 3-brane living in 5-dim. Minkowski space is constructed. This action is proved to be invariant under spontaneously broken scale and Weyl symmetries and to encode a model of quadratic gravity generalizing the Starobinsky model. The symmetry breaking generates the Hilbert-Einstein term with the Newton constant $G_{N}\sim\frac{1}{\mu^{2}}$, where $\mu$ is a mass scale equal to the mean curvature of the vacuum hyper-worldsheet of 3-brane. This result proposes a brane modification of the mechanism of spontaneously generated gravity.

10.63186

9.329298

9.903341

9.368434

9.174647

10.273639

9.401566

9.009378

9.669957

10.411907

9.879788

9.867422

10.153923

9.415565

9.863581

9.495358

9.638849

9.542135

9.787196

9.895116

9.589534

1204.2156

Mohammad Reza Setare

M. R. Setare and V. Kamali

Cosmological New Massive Gravity and Galilean Conformal Algebra in 2-dimensions

11 pages, no figure. arXiv admin note: text overlap with arXiv:1103.0457, arXiv:1102.0082, arXiv:1101.2339, arXiv:1202.4917

Advances in High Energy Physics, 2011, 472718 (2011)

null

hep-th

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

In the present paper we consider the realization of $2-$dimensional Galilean conformal algebra ($GCA_2$) on the boundary of cosmological new massive gravity. At first we consider the contracted BTZ black hole solution. We obtain entropy formula for the $GCA_2$ in term of contracted scaling dimension $\Delta$ and central charge $C_1$. This entropy formula exactly matches with the non-relativistic limit of Bekenstein-Hawking entropy of BTZ black hole. Then we extend our study to the contracted warped $AdS_3$ black hole solution of CNMG. We obtain the entropy of dual $GCA_2$ in terms of central charges and finite temperatures, $T_1, T_2$. Again this expression coincides with the non-relativistic limit of Bekenstein-Hawking entropy formula of warped $AdS_3$ black hole.

[ { "created": "Tue, 10 Apr 2012 14:04:21 GMT", "version": "v1" } ]

2012-04-11

[ [ "Setare", "M. R.", "" ], [ "Kamali", "V.", "" ] ]

In the present paper we consider the realization of $2-$dimensional Galilean conformal algebra ($GCA_2$) on the boundary of cosmological new massive gravity. At first we consider the contracted BTZ black hole solution. We obtain entropy formula for the $GCA_2$ in term of contracted scaling dimension $\Delta$ and central charge $C_1$. This entropy formula exactly matches with the non-relativistic limit of Bekenstein-Hawking entropy of BTZ black hole. Then we extend our study to the contracted warped $AdS_3$ black hole solution of CNMG. We obtain the entropy of dual $GCA_2$ in terms of central charges and finite temperatures, $T_1, T_2$. Again this expression coincides with the non-relativistic limit of Bekenstein-Hawking entropy formula of warped $AdS_3$ black hole.

5.481834

5.240367

5.854135

5.207782

5.27779

5.26377

5.066004

5.062428

5.054358

6.207496

5.068558

5.018859

5.53548

5.057369

5.243951

5.101154

5.258225

5.116965

4.941495

5.61544

5.103606

hep-th/9806039

Willy Fischler

W. Fischler and L. Susskind

Holography and Cosmology

uses phyzzx macros,7 pages typos corrected,minor changes

null

SU-ITP-98-39,UTTG-06-98

hep-th gr-qc

null

A cosmological version of the holographic principle is proposed. Various consequences are discussed including bounds on equation of state and the requirement that the universe be infinite.

[ { "created": "Thu, 4 Jun 1998 18:48:23 GMT", "version": "v1" }, { "created": "Thu, 11 Jun 1998 22:31:30 GMT", "version": "v2" } ]

2007-05-23

[ [ "Fischler", "W.", "" ], [ "Susskind", "L.", "" ] ]

A cosmological version of the holographic principle is proposed. Various consequences are discussed including bounds on equation of state and the requirement that the universe be infinite.

16.994404

11.444591

12.163215

11.440981

11.609229

10.914807

12.175955

12.906053

13.939818

13.94457

13.145173

12.831101

12.571115

12.99518

12.860289

12.460836

12.926929

12.987641

13.377361

13.748989

12.477859

0705.0882

Frolov Igor

I. E. Frolov and V. Ch. Zhukovsky

Synchrotron Radiation in the Standard Model Extension

14 pages, 2 figures

J.Phys.A40:10625-10640,2007

10.1088/1751-8113/40/34/017

null

hep-th

null

We obtain a system of exact solutions of the Dirac equation for an electron moving in a constant homogeneous external magnetic field with account of its vacuum magnetic moment and assumed Lorentz invariance violation in the minimal CPT-odd form in the framework of the Standard Model Extension. Using these solutions, characteristics of the particle synchrotron radiation are calculated, and possible observable effects caused by the Lorentz non-invariant interaction are described. We demonstrate that the angular distribution of the radiation has specific asymmetry, which can be explained as a consequence of non-conservation of transversal electron polarization in the presence of a background Lorentz non-invariant condensate field.

[ { "created": "Mon, 7 May 2007 11:04:01 GMT", "version": "v1" }, { "created": "Fri, 29 Jun 2007 18:00:48 GMT", "version": "v2" } ]

2008-11-26

[ [ "Frolov", "I. E.", "" ], [ "Zhukovsky", "V. Ch.", "" ] ]

We obtain a system of exact solutions of the Dirac equation for an electron moving in a constant homogeneous external magnetic field with account of its vacuum magnetic moment and assumed Lorentz invariance violation in the minimal CPT-odd form in the framework of the Standard Model Extension. Using these solutions, characteristics of the particle synchrotron radiation are calculated, and possible observable effects caused by the Lorentz non-invariant interaction are described. We demonstrate that the angular distribution of the radiation has specific asymmetry, which can be explained as a consequence of non-conservation of transversal electron polarization in the presence of a background Lorentz non-invariant condensate field.

8.425172

8.265997

8.239101

7.733117

8.795782

9.069494

8.087741

8.558604

8.283705

8.214994

8.57686

7.839302

7.907222

7.844594

8.067521

8.401202

8.118584

8.237415

7.704313

8.17109

7.977468

1307.2736

Stefan Stricker

Stefan A. Stricker

Holographic thermalization in N=4 Super Yang-Mills theory at finite coupling

18 pages, 7 figures, v3: major revision

null

10.1140/epjc/s10052-014-2727-4

TUW-13-08

hep-th hep-ph nucl-th

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

We investigate the behavior of energy momentum tensor correlators in holographic $\mathcal{N}=4$ super Yang-Mills plasma, taking finite coupling corrections into account. In the thermal limit we determine the flow of quasinormal modes as a function of the 't Hooft coupling. Then we use a specific model of holographic thermalization to study the deviation of the spectral densities from their thermal limit in an out-of-equilibrium situation. The main focus lies on the thermalization pattern with which the plasma constituents approach their thermal distribution as the coupling constant decreases from the infinite coupling limit. All obtained results point towards the weakening of the usual top-down thermalization pattern.

[ { "created": "Wed, 10 Jul 2013 10:01:28 GMT", "version": "v1" }, { "created": "Thu, 8 Aug 2013 16:49:07 GMT", "version": "v2" }, { "created": "Mon, 14 Oct 2013 16:49:52 GMT", "version": "v3" } ]

2015-06-16

[ [ "Stricker", "Stefan A.", "" ] ]

We investigate the behavior of energy momentum tensor correlators in holographic $\mathcal{N}=4$ super Yang-Mills plasma, taking finite coupling corrections into account. In the thermal limit we determine the flow of quasinormal modes as a function of the 't Hooft coupling. Then we use a specific model of holographic thermalization to study the deviation of the spectral densities from their thermal limit in an out-of-equilibrium situation. The main focus lies on the thermalization pattern with which the plasma constituents approach their thermal distribution as the coupling constant decreases from the infinite coupling limit. All obtained results point towards the weakening of the usual top-down thermalization pattern.

8.493134

7.521041

9.020356

7.799157

9.209487

7.972241

8.225576

7.600982

7.539015

8.700565

7.563435

8.313796

8.427199

8.201443

8.672941

8.625385

8.311342

8.368808

8.146789

8.491742

7.998781

0710.0679

Ricardo Renan Landim

C.A.S. Silva and R.R. Landim

Antisymmetric tensor matter fields in a curved space-time

6 pages

null

hep-th

null

An analysis about the antisymmetric tensor matter fields Avdeev-Chizhov theory in a curved space-time is performed. We show, in a curved spacetime, that the Avdeev-Chizhov theory can be seen as a kind of a $\lambda\phi^{4}$ theory for a "complex self-dual" field. This relationship between Avdeev-Chizhov theory and $\lambda\phi^{4}$ theory simplify the study of tensor matter fields in a curved space-time. The energy-momentum tensor for matter fields is computed.

[ { "created": "Wed, 3 Oct 2007 00:15:07 GMT", "version": "v1" } ]

2007-10-04

[ [ "Silva", "C. A. S.", "" ], [ "Landim", "R. R.", "" ] ]

An analysis about the antisymmetric tensor matter fields Avdeev-Chizhov theory in a curved space-time is performed. We show, in a curved spacetime, that the Avdeev-Chizhov theory can be seen as a kind of a $\lambda\phi^{4}$ theory for a "complex self-dual" field. This relationship between Avdeev-Chizhov theory and $\lambda\phi^{4}$ theory simplify the study of tensor matter fields in a curved space-time. The energy-momentum tensor for matter fields is computed.

8.406278

7.193075

8.045176

7.027183

7.221385

7.398458

6.6642

6.835758

6.928972

7.659994

7.182614

6.937836

7.48902

7.070611

7.056547

6.767966

7.170487

6.914571

7.286668

7.313269

7.315136

1212.5936

Ladislav Hlavaty

Ladislav Hlavaty, Josef Navratil, Libor Snobl

On renormalization of Poisson-Lie T-plural sigma models

11 pages, The sources of disagreements with references [1],[2],[3] in previous versions are identified as differences in notations

null

hep-th

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

Covariance of the one-loop renormalization group equations with respect to Poisson-Lie T-plurality of sigma models is discussed. The role of ambiguities in renormalization group equations of Poisson-Lie sigma models with truncated matrices of parameters is investigated.

[ { "created": "Mon, 24 Dec 2012 16:54:32 GMT", "version": "v1" }, { "created": "Wed, 30 Jan 2013 12:29:21 GMT", "version": "v2" }, { "created": "Mon, 20 May 2013 11:29:26 GMT", "version": "v3" } ]

2013-05-21

[ [ "Hlavaty", "Ladislav", "" ], [ "Navratil", "Josef", "" ], [ "Snobl", "Libor", "" ] ]

Covariance of the one-loop renormalization group equations with respect to Poisson-Lie T-plurality of sigma models is discussed. The role of ambiguities in renormalization group equations of Poisson-Lie sigma models with truncated matrices of parameters is investigated.

17.470503

9.278612

13.341311

10.125408

9.813622

8.397974

9.205266

10.640647

8.390581

13.662775

9.089722

9.914066

11.053733

9.808465

9.555583

10.734735

9.693608

9.971372

9.997766

10.573358

10.256372

hep-th/9809059

Yoon Soo Myung

Y.S. Myung (Inje U.)

BTZ black hole and quantum Hall effect in the bulk/boundary dynamics

8 pages, this version to appear in Phys. Rev. D

Phys. Rev. D 59, 044028 (1999)

10.1103/PhysRevD.59.044028

INJE-TP-98-9

hep-th

null

We point out an interesting analogy between the BTZ black hole and QHE (Quantum Hall effect) in the (2+1)-dimensional bulk/boundary theories. It is shown that the Chern-Simons/Liouville(Chern-Simons/chiral boson) is an effective description for the BTZ black hole (QHE). Also the IR(bulk)-UV(boundary) connection for a black hole information bound is realized as the UV(low-lying excitations on bulk)-IR(long-range excitations on boundary) connection in the QHE. An inflow of conformal anomaly($c=1$ central charge) onto the timelike boundary of AdS$_3$ by the Noether current corresponds to an inflow of chiral anomaly onto the edge of disk by the Hall current.

[ { "created": "Wed, 9 Sep 1998 06:49:37 GMT", "version": "v1" }, { "created": "Wed, 16 Sep 1998 03:13:15 GMT", "version": "v2" }, { "created": "Tue, 3 Nov 1998 23:30:05 GMT", "version": "v3" } ]

2016-08-25

[ [ "Myung", "Y. S.", "", "Inje U." ] ]

We point out an interesting analogy between the BTZ black hole and QHE (Quantum Hall effect) in the (2+1)-dimensional bulk/boundary theories. It is shown that the Chern-Simons/Liouville(Chern-Simons/chiral boson) is an effective description for the BTZ black hole (QHE). Also the IR(bulk)-UV(boundary) connection for a black hole information bound is realized as the UV(low-lying excitations on bulk)-IR(long-range excitations on boundary) connection in the QHE. An inflow of conformal anomaly($c=1$ central charge) onto the timelike boundary of AdS$_3$ by the Noether current corresponds to an inflow of chiral anomaly onto the edge of disk by the Hall current.

9.746078

9.671613

10.89626

9.229364

9.510266

10.099869

9.502283

9.077823

9.283679

11.74994

8.972162

8.839406

8.933267

8.667135

9.162841

8.940106

8.856396

8.78621

9.156573

9.336308

9.200504

2110.09542

Mehmet Ozkan

Eric A. Bergshoeff, Mehmet Ozkan, Mustafa Salih Zog

The Holographic c-theorem and Infinite-dimensional Lie Algebras

16 pages, 1 figure, v2: Typos Corrected, Reference Added, Version appeared in JHEP

null

10.1007/JHEP01(2022)010

null

hep-th gr-qc

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

We discuss a non-dynamical theory of gravity in three-dimensions which is based on an infinite-dimensional Lie algebra that is closely related to an infinite-dimensional extended AdS algebra. We find an intriguing connection between on the one hand higher-derivative gravity theories that are consistent with the holographic c-theorem and on the other hand truncations of this infinite-dimensional Lie algebra that violate the Lie algebra structure. We show that in three dimensions different truncations reproduce, up to terms that do not contribute to the c-theorem, Chern-Simons-like gravity models describing extended 3D massive gravity theories. Performing the same procedure with similar truncations in dimensions larger than or equal to four reproduces higher derivative gravity models that are known in the literature to be consistent with the c-theorem but do not have an obvious connection to massive gravity like in three dimensions.

[ { "created": "Mon, 18 Oct 2021 18:00:05 GMT", "version": "v1" }, { "created": "Thu, 6 Jan 2022 14:08:56 GMT", "version": "v2" } ]

2022-01-07

[ [ "Bergshoeff", "Eric A.", "" ], [ "Ozkan", "Mehmet", "" ], [ "Zog", "Mustafa Salih", "" ] ]

We discuss a non-dynamical theory of gravity in three-dimensions which is based on an infinite-dimensional Lie algebra that is closely related to an infinite-dimensional extended AdS algebra. We find an intriguing connection between on the one hand higher-derivative gravity theories that are consistent with the holographic c-theorem and on the other hand truncations of this infinite-dimensional Lie algebra that violate the Lie algebra structure. We show that in three dimensions different truncations reproduce, up to terms that do not contribute to the c-theorem, Chern-Simons-like gravity models describing extended 3D massive gravity theories. Performing the same procedure with similar truncations in dimensions larger than or equal to four reproduces higher derivative gravity models that are known in the literature to be consistent with the c-theorem but do not have an obvious connection to massive gravity like in three dimensions.

8.205898

8.405173

9.054735

7.928602

8.313972

8.083839

8.382545

7.878366

8.226225

8.95622

7.860962

8.008498

8.120468

7.505803

7.831882

7.921066

7.986862

7.805195

7.841255

8.118098

7.853895

0709.3948

Kasper Peeters

Ofer Aharony, Kasper Peeters, Jacob Sonnenschein and Marija Zamaklar

Rho meson condensation at finite isospin chemical potential in a holographic model for QCD

33 pages, 7 figures; v2: references added, minor corrections; v3: added footnote about other possible condensate

JHEP 0802:071,2008

10.1088/1126-6708/2008/02/071

DCPT-07/55, ITP-UU-07/49, TAUP-2865/07, WIS/16/07-SEPT-DPP, NI-07094

hep-th hep-lat hep-ph

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

We analyze the effect of an isospin chemical potential \mu_I in the Sakai-Sugimoto model, which is the string dual of a confining gauge theory related to large N_c QCD, at temperatures below the chiral symmetry restoration temperature. For small chemical potentials we show that the results agree with expectations from the low-energy chiral Lagrangian, and the charged pion condenses. When the chemical potential reaches a critical value \mu_I = \mu_{crit} ~ 1.7 m_{\rho}, the lowest vector meson (the "rho meson") becomes massless, and it condenses (in addition to the pion condensate) for \mu_I > \mu_{crit}. This spontaneously breaks the rotational symmetry, as well as a residual U(1) flavor symmetry. We numerically construct the resulting new ground state for \mu_I > \mu_{crit}.

[ { "created": "Tue, 25 Sep 2007 14:06:32 GMT", "version": "v1" }, { "created": "Thu, 14 Feb 2008 11:36:30 GMT", "version": "v2" }, { "created": "Tue, 3 Mar 2009 13:07:59 GMT", "version": "v3" } ]

2009-09-29

[ [ "Aharony", "Ofer", "" ], [ "Peeters", "Kasper", "" ], [ "Sonnenschein", "Jacob", "" ], [ "Zamaklar", "Marija", "" ] ]

We analyze the effect of an isospin chemical potential \mu_I in the Sakai-Sugimoto model, which is the string dual of a confining gauge theory related to large N_c QCD, at temperatures below the chiral symmetry restoration temperature. For small chemical potentials we show that the results agree with expectations from the low-energy chiral Lagrangian, and the charged pion condenses. When the chemical potential reaches a critical value \mu_I = \mu_{crit} ~ 1.7 m_{\rho}, the lowest vector meson (the "rho meson") becomes massless, and it condenses (in addition to the pion condensate) for \mu_I > \mu_{crit}. This spontaneously breaks the rotational symmetry, as well as a residual U(1) flavor symmetry. We numerically construct the resulting new ground state for \mu_I > \mu_{crit}.

5.280301

5.135245

5.131124

4.8433

5.075803

5.603899

4.930852

4.809671

5.000308

5.30042

5.018288

4.871783

5.11694

4.923098

4.834913

4.962597

4.922113

5.005691

4.942983

5.04763

4.849138

1209.0883

Vikram Vyas

Heavy Quark Potential from Gauge/Gravity Duality: A Large D Analysis

22 pages, 5 Figures. v2: references added, typos corrected and, Sec. 4 rewritten with an expanded non-perturbative discussion of the corrections to the Arvis potential arising from the massless modes near the boundary of the qcd string

Phy. Rev. D 87 045026 (2013)

10.1103/PhysRevD.87.045026

null

hep-th hep-lat hep-ph

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

The heavy-quark potential is calculated in the framework of gauge/gravity duality using the large-D approximation, where D is the number of dimensions transverse to the flux tube connecting a quark and an antiquark in a flat D+2-dimensional spacetime. We find that in the large-D limit the leading correction to the ground-state energy, as given by an effective Nambu-Goto string, arises not from the heavy modes but from the behavior of the massless modes in the vicinity of the quark and the antiquark. We estimate this correction and find that it should be visible in the near-future lattice QCD calculations of the heavy-quark potential.

[ { "created": "Wed, 5 Sep 2012 07:57:02 GMT", "version": "v1" }, { "created": "Fri, 1 Mar 2013 05:29:14 GMT", "version": "v2" } ]

2013-03-05

[ [ "Vyas", "Vikram", "" ] ]

The heavy-quark potential is calculated in the framework of gauge/gravity duality using the large-D approximation, where D is the number of dimensions transverse to the flux tube connecting a quark and an antiquark in a flat D+2-dimensional spacetime. We find that in the large-D limit the leading correction to the ground-state energy, as given by an effective Nambu-Goto string, arises not from the heavy modes but from the behavior of the massless modes in the vicinity of the quark and the antiquark. We estimate this correction and find that it should be visible in the near-future lattice QCD calculations of the heavy-quark potential.

5.893746

6.464998

6.534304

5.82662

6.577291

5.887855

6.916576

5.902037

6.023602

6.310789

5.733964

5.85101

5.753119

5.531705

5.984551

5.774606

5.833269

5.811005

5.724396

5.932333

5.655073

hep-th/9404146

Oh phillial

Myung-Ho Kim and Phillial Oh

Phase Space Structure of Non-Abelian Chern-Simons Particles

18 pages, REVTEX 3.0, SNUTP-93-41

J.Math.Phys. 35 (1994) 3959-3968

10.1063/1.530896

null

hep-th

null

We investigate the classical phase space structure of $N$ $SU(n+1)$ non-Abelian Chern-Simons (NACS) particles by first constructing the product space of associated $SU(n+1)$ bundle with ${\bf CP}^n$ as the fiber. We calculate the Poisson bracket using the symplectic structure on the associated bundle and find that the minimal substitution in the presence of external gauge fields is equivalent to the modification of symplectic structure by the addition of field strength two form. Then, we take a direct product of the associated bundle by the space of all connections and choose a specific connection by the condition of vanishing momentum map corresponding to the gauge transformation, thus recovering the quantum mechanical model of NACS particles in Ref.\cite{lo1}.

[ { "created": "Sat, 23 Apr 1994 07:19:15 GMT", "version": "v1" } ]

2009-10-28

[ [ "Kim", "Myung-Ho", "" ], [ "Oh", "Phillial", "" ] ]

We investigate the classical phase space structure of $N$ $SU(n+1)$ non-Abelian Chern-Simons (NACS) particles by first constructing the product space of associated $SU(n+1)$ bundle with ${\bf CP}^n$ as the fiber. We calculate the Poisson bracket using the symplectic structure on the associated bundle and find that the minimal substitution in the presence of external gauge fields is equivalent to the modification of symplectic structure by the addition of field strength two form. Then, we take a direct product of the associated bundle by the space of all connections and choose a specific connection by the condition of vanishing momentum map corresponding to the gauge transformation, thus recovering the quantum mechanical model of NACS particles in Ref.\cite{lo1}.

10.558978

10.202055

12.092607

9.848752

11.682848

11.161686

11.151203

9.593124

10.65609

12.919705

10.895697

10.983706

11.026537

10.570734

10.237923

10.606104

10.21825

10.27956

10.501648

10.601743

10.254649

hep-th/9912027

Murat Gunaydin

Murat Gunaydin and Marco Zagermann

The Gauging of Five-dimensional, N=2 Maxwell-Einstein Supergravity Theories coupled to Tensor Multiplets

Latex file, 23 pages

Nucl.Phys.B572:131-150,2000

10.1016/S0550-3213(99)00801-9

PSU-TH-222

hep-th

null

We study the general gaugings of N=2 Maxwell-Einstein supergravity theories (MESGT) in five dimensions, extending and generalizing previous work. The global symmetries of these theories are of the form SU(2)_R X G, where SU(2)_R is the R-symmetry group of the N=2 Poincare superalgebra and G is the group of isometries of the scalar manifold that extend to symmetries of the full action. We first gauge a subgroup K of G by turning some of the vector fields into gauge fields of K while dualizing the remaining vector fields into tensor fields transforming in a non-trivial representation of K. Surprisingly, we find that the presence of tensor fields transforming non-trivially under the Yang-Mills gauge group leads to the introduction of a potential which does not admit an AdS ground state. Next we give the simultaneous gauging of the U(1)_R subgroup of SU(2)_R and a subgroup K of G in the presence of K-charged tensor multiplets. The potential introduced by the simultaneous gauging is the sum of the potentials introduced by gauging K and U(1)_R separately. We present a list of possible gauge groups K and the corresponding representations of tensor fields. For the exceptional supergravity we find that one can gauge the SO^*(6) subgroup of the isometry group E_{6(-26)} of the scalar manifold if one dualizes 12 of the vector fields to tensor fields just as in the gauged N=8 supergravity.

[ { "created": "Fri, 3 Dec 1999 21:23:28 GMT", "version": "v1" } ]

2011-02-09

[ [ "Gunaydin", "Murat", "" ], [ "Zagermann", "Marco", "" ] ]

We study the general gaugings of N=2 Maxwell-Einstein supergravity theories (MESGT) in five dimensions, extending and generalizing previous work. The global symmetries of these theories are of the form SU(2)_R X G, where SU(2)_R is the R-symmetry group of the N=2 Poincare superalgebra and G is the group of isometries of the scalar manifold that extend to symmetries of the full action. We first gauge a subgroup K of G by turning some of the vector fields into gauge fields of K while dualizing the remaining vector fields into tensor fields transforming in a non-trivial representation of K. Surprisingly, we find that the presence of tensor fields transforming non-trivially under the Yang-Mills gauge group leads to the introduction of a potential which does not admit an AdS ground state. Next we give the simultaneous gauging of the U(1)_R subgroup of SU(2)_R and a subgroup K of G in the presence of K-charged tensor multiplets. The potential introduced by the simultaneous gauging is the sum of the potentials introduced by gauging K and U(1)_R separately. We present a list of possible gauge groups K and the corresponding representations of tensor fields. For the exceptional supergravity we find that one can gauge the SO^*(6) subgroup of the isometry group E_{6(-26)} of the scalar manifold if one dualizes 12 of the vector fields to tensor fields just as in the gauged N=8 supergravity.

5.438153

5.414606

6.001761

4.897573

5.139454

5.306488

5.750927

5.275055

5.255558

5.671573

5.152657

5.021482

5.415172

5.165543

5.25986

5.302052

5.203293

5.260095

5.164041

5.548197

5.377314

0706.1691

Yi Wang

Miao Li, Yi Wang

A Stochastic Measure for Eternal Inflation

11 pages, 1 figure

JCAP 0708:007,2007

10.1088/1475-7516/2007/08/007

USTC-ICTS-07-14

hep-th astro-ph gr-qc

null

We use the stochastic approach to investigate the measure for slow roll eternal inflation. The probability for the universe of a given Hubble radius can be calculated in this framework. In a solvable model, it is shown that the probability for the universe to evolve from a state with a smaller Hubble radius to that of a larger Hubble radius is dominated by the classical probability without the stochastic source. While the probability for the universe to evolve from a larger Hubble radius to a smaller one is suppressed by $\exp(-\Delta S)$, where the de Sitter entropy $S$ arises naturally in this stochastic approach.

[ { "created": "Tue, 12 Jun 2007 14:00:06 GMT", "version": "v1" } ]

2009-11-18

[ [ "Li", "Miao", "" ], [ "Wang", "Yi", "" ] ]

We use the stochastic approach to investigate the measure for slow roll eternal inflation. The probability for the universe of a given Hubble radius can be calculated in this framework. In a solvable model, it is shown that the probability for the universe to evolve from a state with a smaller Hubble radius to that of a larger Hubble radius is dominated by the classical probability without the stochastic source. While the probability for the universe to evolve from a larger Hubble radius to a smaller one is suppressed by $\exp(-\Delta S)$, where the de Sitter entropy $S$ arises naturally in this stochastic approach.

7.793699

7.189321

7.069731

6.697033

7.459631

7.860487

7.258706

6.650522

7.029861

7.533273

7.233671

6.735172

6.840005

6.702245

6.868604

6.909536

6.933579

6.853317

6.979551

6.945675

6.855167

1701.03144

Alex Bernardini Dr.

Alex E. Bernardini and Mariana Chinaglia

Topological view of quantum tunneling coherent destruction

8 pages, 4 figures. Based on a poster presentation at DICE 2016 Spacetime - Matter - Quantum Mechanics ... news on missing links, 12th - 16th September 2016, Castiglioncello, Italy

null

10.1088/1742-6596/880/1/012038

null

hep-th quant-ph

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

Quantum tunneling of the ground and first excited states in a quantum superposition driven by a novel analytical configuration of a double-well (DW) potential is investigated. Symmetric and asymmetric potentials are considered as to support quantum mechanical zero mode and first excited state analytical solutions. Reporting about a symmetry breaking that supports the quantum conversion of a zero-mode stable vacuum into an unstable tachyonic quantum state, two inequivalent topological scenarios are supposed to drive stable tunneling and coherent tunneling destruction respectively. A complete prospect of the Wigner function dynamics, vector field fluxes and the time dependence of stagnation points is obtained for the analytical potentials that support stable and tachyonic modes.

[ { "created": "Wed, 11 Jan 2017 20:09:30 GMT", "version": "v1" } ]

2017-09-13

[ [ "Bernardini", "Alex E.", "" ], [ "Chinaglia", "Mariana", "" ] ]

Quantum tunneling of the ground and first excited states in a quantum superposition driven by a novel analytical configuration of a double-well (DW) potential is investigated. Symmetric and asymmetric potentials are considered as to support quantum mechanical zero mode and first excited state analytical solutions. Reporting about a symmetry breaking that supports the quantum conversion of a zero-mode stable vacuum into an unstable tachyonic quantum state, two inequivalent topological scenarios are supposed to drive stable tunneling and coherent tunneling destruction respectively. A complete prospect of the Wigner function dynamics, vector field fluxes and the time dependence of stagnation points is obtained for the analytical potentials that support stable and tachyonic modes.

27.287024

29.725761

29.73662

26.998438

26.051327

26.991486

28.249699

29.175287

27.886312

29.181854

25.757956

26.417084

27.23597

26.255066

27.001488

27.251076

26.74608

26.244596

26.128799

27.433613

26.185886

2210.11493

Ronak M Soni

Amr Ahmadain, Alexander Frenkel, Krishnendu Ray and Ronak M Soni

Boundary Description of Microstates of the Two-Dimensional Black Hole

54 pages, 16 figures. v2: new figures, corrected calculation of variance and evaporation rate, and some minor changes. v3: minor changes, version accepted for publication in SciPost Physics

SciPost Phys. 16, 020 (2024)

10.21468/SciPostPhys.16.1.020

null

hep-th

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

We identify the microstates of the non supersymmetric, asymptotically flat 2d black hole in the dual c=1 matrix quantum mechanics (MQM). We calculate the partition function of the theory using Hamiltonian methods and reproduce one of two conflicting results found by Kazakov and Tseytlin. We find the entropy by counting states and the energy by solving the Schrodinger equation. The dominant contribution to the partition function in the double scaling limit is a novel bound state that can be considered an explicit dual of the black hole microstates. This bound state is long lived and evaporates slowly, exactly like a black hole in asymptotically flat space.

[ { "created": "Thu, 20 Oct 2022 18:00:07 GMT", "version": "v1" }, { "created": "Wed, 10 May 2023 10:27:08 GMT", "version": "v2" }, { "created": "Sat, 13 Jan 2024 06:25:14 GMT", "version": "v3" } ]

2024-01-24

[ [ "Ahmadain", "Amr", "" ], [ "Frenkel", "Alexander", "" ], [ "Ray", "Krishnendu", "" ], [ "Soni", "Ronak M", "" ] ]

We identify the microstates of the non supersymmetric, asymptotically flat 2d black hole in the dual c=1 matrix quantum mechanics (MQM). We calculate the partition function of the theory using Hamiltonian methods and reproduce one of two conflicting results found by Kazakov and Tseytlin. We find the entropy by counting states and the energy by solving the Schrodinger equation. The dominant contribution to the partition function in the double scaling limit is a novel bound state that can be considered an explicit dual of the black hole microstates. This bound state is long lived and evaporates slowly, exactly like a black hole in asymptotically flat space.

9.657271

9.344749

10.643978

8.919206

9.233346

9.407651

9.37815

9.382361

9.058758

12.618447

8.837685

8.918597

9.571665

8.927637

9.133739

9.239138

9.160008

9.079232

8.998853

9.429158

8.767666

2309.01537

Changhyun Ahn

Changhyun Ahn and Man Hea Kim

The ${\cal N}=2,4$ Supersymmetric Linear $W_{\infty}[\lambda]$ Algebras for Generic $\lambda$ Parameter

61 pages;The footnotes 4, 15, 19 and 20 are added and to appear in JHEP

null

hep-th

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

The four different kinds of currents are given by the multiple $(\beta,\gamma)$ and $(b,c)$ ghost systems with a multiple product of derivatives. We determine their complete algebra where the structure constants depend on the deformation parameter $\lambda$ appearing in the conformal weights of above fields nontrivially and depend on the generic spins $h_1$ and $h_2$ appearing on the left hand sides in the (anti)commutators. By taking the linear combinations of these currents, the ${\cal N}=4$ supersymmetric linear $W_{\infty}[\lambda]$ algebra (and its ${\cal N}=4$ superspace description) for generic $\lambda$ is obtained explicitly. Moreover, we determine the ${\cal N}=2$ supersymmetric linear $W_{\infty}[\lambda]$ algebra for arbitrary $\lambda$. As a by product, the $\lambda$ deformed bosonic $W_{1+\infty}[\lambda] \times W_{1+\infty}[\lambda+\frac{1}{2}]$ subalgebra (a generalization of Pope, Romans and Shen's work in $1990$) is obtained. The first factor is realized by $(b,c)$ fermionic fields while the second factor is realized by $(\beta,\gamma)$ bosonic fields. The degrees of the polynomials in $\lambda$ for the structure constants are given by $(h_1+h_2-2)$. Each $w_{1+\infty}$ algebra from the celestial holography is reproduced by taking the vanishing limit of other deformation prameter $q$ at $\lambda=0$ with the contractions of the currents.

[ { "created": "Mon, 4 Sep 2023 11:32:29 GMT", "version": "v1" }, { "created": "Sat, 20 Jan 2024 02:43:56 GMT", "version": "v2" } ]

2024-01-23

[ [ "Ahn", "Changhyun", "" ], [ "Kim", "Man Hea", "" ] ]

The four different kinds of currents are given by the multiple $(\beta,\gamma)$ and $(b,c)$ ghost systems with a multiple product of derivatives. We determine their complete algebra where the structure constants depend on the deformation parameter $\lambda$ appearing in the conformal weights of above fields nontrivially and depend on the generic spins $h_1$ and $h_2$ appearing on the left hand sides in the (anti)commutators. By taking the linear combinations of these currents, the ${\cal N}=4$ supersymmetric linear $W_{\infty}[\lambda]$ algebra (and its ${\cal N}=4$ superspace description) for generic $\lambda$ is obtained explicitly. Moreover, we determine the ${\cal N}=2$ supersymmetric linear $W_{\infty}[\lambda]$ algebra for arbitrary $\lambda$. As a by product, the $\lambda$ deformed bosonic $W_{1+\infty}[\lambda] \times W_{1+\infty}[\lambda+\frac{1}{2}]$ subalgebra (a generalization of Pope, Romans and Shen's work in $1990$) is obtained. The first factor is realized by $(b,c)$ fermionic fields while the second factor is realized by $(\beta,\gamma)$ bosonic fields. The degrees of the polynomials in $\lambda$ for the structure constants are given by $(h_1+h_2-2)$. Each $w_{1+\infty}$ algebra from the celestial holography is reproduced by taking the vanishing limit of other deformation prameter $q$ at $\lambda=0$ with the contractions of the currents.

8.565014

8.213582

8.925721

7.471618

8.05972

7.542379

8.292007

8.052994

8.018293

10.188678

7.876514

7.852512

8.479711

7.839759

7.855092

7.701804

7.685677

7.774775

7.719541

8.481112

7.590824

2305.11839

Kilar Zhang

Qing-Jie Yuan, Shao-Ping Hu, Zi-Hao Huang and Kilar Zhang

Proof of $A_{n}$ AGT conjecture at $\beta=1$

25 pages, 2 figures; v2: typos corrected, references added

null

hep-th math-ph math.MP

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

AGT conjecture reveals a connection between 4D $\mathcal{N}=2$ gauge theory and 2D conformal field theory. Though some special instances have been proven, others remain elusive and the attempts on its full proof never stop. When the $\Omega$ background parameters satisfy $-\epsilon_1/\epsilon_2\equiv \beta =1$, the story simplifies a bit. A proof of the correspondence in the case of $A_{1}$ gauge group was given in 2010 by Mironov et al., while the $A_{n}$ extension is verified by Matsuo and Zhang in 2011, with an assumption on the Selberg integral of $n+1$ Schur polynomials. Then in 2020, Albion et al. obtained the rigorous result of this formula. In this paper, we show that their result is equivalent to the conjecture on Selberg integral of Schur polynomials, thus leading to the proof of the $A_{n}$ case at $\beta=1$. To perform a double check, we also directly start from this formula, and manage to show the identification between the two sides of AGT correspondence.

[ { "created": "Fri, 19 May 2023 17:26:51 GMT", "version": "v1" }, { "created": "Wed, 24 Apr 2024 17:25:19 GMT", "version": "v2" } ]

2024-04-25

[ [ "Yuan", "Qing-Jie", "" ], [ "Hu", "Shao-Ping", "" ], [ "Huang", "Zi-Hao", "" ], [ "Zhang", "Kilar", "" ] ]

AGT conjecture reveals a connection between 4D $\mathcal{N}=2$ gauge theory and 2D conformal field theory. Though some special instances have been proven, others remain elusive and the attempts on its full proof never stop. When the $\Omega$ background parameters satisfy $-\epsilon_1/\epsilon_2\equiv \beta =1$, the story simplifies a bit. A proof of the correspondence in the case of $A_{1}$ gauge group was given in 2010 by Mironov et al., while the $A_{n}$ extension is verified by Matsuo and Zhang in 2011, with an assumption on the Selberg integral of $n+1$ Schur polynomials. Then in 2020, Albion et al. obtained the rigorous result of this formula. In this paper, we show that their result is equivalent to the conjecture on Selberg integral of Schur polynomials, thus leading to the proof of the $A_{n}$ case at $\beta=1$. To perform a double check, we also directly start from this formula, and manage to show the identification between the two sides of AGT correspondence.

10.399676

9.516841

10.701225

9.093885

9.873621

9.184731

9.783027

9.537223

8.867909

10.59365

9.069844

8.946939

9.553727

8.655837

8.857632

8.599428

8.948155

8.751607

9.106906

9.470677

8.77388

hep-th/0506202

Hong Liu

Guido Festuccia and Hong Liu (MIT)

Excursions beyond the horizon: Black hole singularities in Yang-Mills theories (I)

34 page, 10 figures, uses harvmac, references added

JHEP 0604 (2006) 044

10.1088/1126-6708/2006/04/044

MIT-CTP-3641

hep-th

null

We study black hole singularities in the AdS/CFT correspondence. These singularities show up in CFT in the behavior of finite-temperature correlation functions. We first establish a direct relation between space-like geodesics in the bulk and momentum space Wightman functions of CFT operators of large dimensions. This allows us to probe the regions inside the horizon and near the singularity using the CFT. Information about the black hole singularity is encoded in the exponential falloff of finite-temperature correlators at large imaginary frequency. We construct new gauge invariant observables whose divergences reflect the presence of the singularity. We also find a UV/UV connection that governs physics inside the horizon. Additionally, we comment on the possible resolution of the singularity.

[ { "created": "Thu, 23 Jun 2005 22:42:23 GMT", "version": "v1" }, { "created": "Wed, 20 Jul 2005 16:56:57 GMT", "version": "v2" } ]

2009-11-11

[ [ "Festuccia", "Guido", "", "MIT" ], [ "Liu", "Hong", "", "MIT" ] ]

We study black hole singularities in the AdS/CFT correspondence. These singularities show up in CFT in the behavior of finite-temperature correlation functions. We first establish a direct relation between space-like geodesics in the bulk and momentum space Wightman functions of CFT operators of large dimensions. This allows us to probe the regions inside the horizon and near the singularity using the CFT. Information about the black hole singularity is encoded in the exponential falloff of finite-temperature correlators at large imaginary frequency. We construct new gauge invariant observables whose divergences reflect the presence of the singularity. We also find a UV/UV connection that governs physics inside the horizon. Additionally, we comment on the possible resolution of the singularity.

8.192589

8.044264

9.034922

8.091517

7.924439

7.931544

8.097008

7.901675

7.589494

9.293002

8.167565

7.902054

8.229068

7.910834

8.021515

8.249312

8.069

7.776955

7.82647

8.291505

7.846141

hep-th/0512308

Motomu Tsuda

Kazunari Shima and Motomu Tsuda

Cosmology and Nonlinear Supersymmetric General Relativity

8 pages, Latex, Based on the talk given by K. Shima at International Europhysics Conference on High Energy Physics, July 21st-27th, 2005, Lisboa, Portugal

PoS HEP2005 (2006) 011

null

hep-th astro-ph gr-qc

null

We discuss cosmological implications of nonlinear supersymmetric(NLSUSY) general relativity(GR) of the form of Einstein-Hilbert(EH) action for empty spacetime, where NLSUSY GR is obtained by the geomtrical arguments on new spacetime just inspired by NLSUSY. The new action of NLSUSY GR is unstable and breaks down spontaneously to EH action with Nambu-Goldstone(NG) fermion matter. We show that NLSUSY GR elucidates the physical meanings of the cosmologically important quantities, e.g., the spontaneous SUSY breaking scale, the cosmological constant, the dark energy and the neutrino mass and describe natually the paradigm of the accelerated expansion of the present universe.

[ { "created": "Sat, 24 Dec 2005 04:56:52 GMT", "version": "v1" } ]

2007-06-22

[ [ "Shima", "Kazunari", "" ], [ "Tsuda", "Motomu", "" ] ]

We discuss cosmological implications of nonlinear supersymmetric(NLSUSY) general relativity(GR) of the form of Einstein-Hilbert(EH) action for empty spacetime, where NLSUSY GR is obtained by the geomtrical arguments on new spacetime just inspired by NLSUSY. The new action of NLSUSY GR is unstable and breaks down spontaneously to EH action with Nambu-Goldstone(NG) fermion matter. We show that NLSUSY GR elucidates the physical meanings of the cosmologically important quantities, e.g., the spontaneous SUSY breaking scale, the cosmological constant, the dark energy and the neutrino mass and describe natually the paradigm of the accelerated expansion of the present universe.

11.214799

9.580757

11.822186

10.118738

10.932993

9.975978

9.873159

8.766741

9.724198

12.283662

9.675019

10.427176

10.872598

10.704989

10.721282

10.182204

10.294335

10.196039

10.412895

11.136497

10.419738

hep-th/0703140

Maria Cristina Diamantini

M.C. Diamantini, P. Sodano and C.A. Trugenberger

Superconductors with Topological Order and their Realization in Josephson Junction Arrays

invited review, to appear in "Superconductivity Research Advances", Nova Publishers, 32 pages

null

hep-th

null

We will describe a new superconductivity mechanism, proposed by the authors in [1], which is based on a topologically ordered ground state rather than on the usual Landau mechanism of spontaneous symmetry breaking. Contrary to anyon superconductivity it works in any dimension and it preserves P-and T-invariance. In particular we will discuss the low-energy effective field theory, what would be the Landau-Ginzburg formulation for conventional superconductors.

[ { "created": "Thu, 15 Mar 2007 09:27:39 GMT", "version": "v1" } ]

2007-05-23

[ [ "Diamantini", "M. C.", "" ], [ "Sodano", "P.", "" ], [ "Trugenberger", "C. A.", "" ] ]

We will describe a new superconductivity mechanism, proposed by the authors in [1], which is based on a topologically ordered ground state rather than on the usual Landau mechanism of spontaneous symmetry breaking. Contrary to anyon superconductivity it works in any dimension and it preserves P-and T-invariance. In particular we will discuss the low-energy effective field theory, what would be the Landau-Ginzburg formulation for conventional superconductors.

10.876169

10.763732

12.91246

10.877992

12.007384

10.41052

11.35483

12.144284

10.971446

13.606395

10.236752

11.487524

11.457151

11.06353

11.116713

11.096961

10.891243

10.937429

10.759467

11.5169

10.56292

hep-th/9610211

Yuhsuke Yoshida

On Instanton Calculations of N=2 Supersymmetric Yang-Mills Theory

24 pages, LaTeX, no figures

null

OU-HET 253

hep-th

null

Instanton calculations are demonstrated from a viewpoint of twisted topological field theory. Various properties become manifest such that perturbative corrections are terminated at one-loop, and norm cancellations occur between bosonic and fermionic excitations in any instanton background. We can easily observe that for a suitable choice of Green functions the infinite dimensional path integration reduces to a finite dimensional integration over a supersymmetric instanton moduli space.

[ { "created": "Mon, 28 Oct 1996 09:40:01 GMT", "version": "v1" } ]

2007-05-23

[ [ "Yoshida", "Yuhsuke", "" ] ]

Instanton calculations are demonstrated from a viewpoint of twisted topological field theory. Various properties become manifest such that perturbative corrections are terminated at one-loop, and norm cancellations occur between bosonic and fermionic excitations in any instanton background. We can easily observe that for a suitable choice of Green functions the infinite dimensional path integration reduces to a finite dimensional integration over a supersymmetric instanton moduli space.

21.659903

19.970135

22.053473

20.039852

20.050692

20.834064

20.840488

20.601664

18.999483

25.700497

19.157553

20.185255

21.961498

20.224449

18.782879

19.611189

19.285706

18.431561

19.278042

21.40522

19.431059

hep-th/0605088

Clifford V. Johnson

Tameem Albash, Veselin Filev, Clifford V. Johnson, Arnab Kundu

A Topology-Changing Phase Transition and the Dynamics of Flavour

13 pages, three multi-component eps figures, LaTeX (V2: refs added, figs improved. V3: refs added, discussion of meson spectrum improved)

Phys.Rev.D77:066004,2008

10.1103/PhysRevD.77.066004

null

hep-th

null

In studying the dynamics of large N_c, SU(N_c) gauge theory at finite temperature with fundamental quark flavours in the quenched approximation, we observe a first order phase transition. A quark condensate forms at finite quark mass, and the value of the condensate varies smoothly with the quark mass for generic regions in parameter space. At a particular value of the quark mass, there is a finite discontinuity in the condensate's vacuum expectation value, corresponding to a first order phase transition. We study the gauge theory via its string dual formulation using the AdS/CFT conjecture, the string dual being the near-horizon geometry of N_c D3-branes at finite temperature, AdS_5--Schwarzschild X S^5, probed by a D7-brane. The D7-brane has topology R^4 X S^3 X S^1 and allowed solutions correspond to either the S^3 or the S^1 shrinking away in the interior of the geometry. The phase transition represents a jump between branches of solutions having these two distinct D-brane topologies. The transition also appears in the meson spectrum.

[ { "created": "Mon, 8 May 2006 19:10:37 GMT", "version": "v1" }, { "created": "Thu, 13 Jul 2006 10:08:52 GMT", "version": "v2" }, { "created": "Sun, 5 Aug 2007 05:15:07 GMT", "version": "v3" } ]

2008-11-26

[ [ "Albash", "Tameem", "" ], [ "Filev", "Veselin", "" ], [ "Johnson", "Clifford V.", "" ], [ "Kundu", "Arnab", "" ] ]

In studying the dynamics of large N_c, SU(N_c) gauge theory at finite temperature with fundamental quark flavours in the quenched approximation, we observe a first order phase transition. A quark condensate forms at finite quark mass, and the value of the condensate varies smoothly with the quark mass for generic regions in parameter space. At a particular value of the quark mass, there is a finite discontinuity in the condensate's vacuum expectation value, corresponding to a first order phase transition. We study the gauge theory via its string dual formulation using the AdS/CFT conjecture, the string dual being the near-horizon geometry of N_c D3-branes at finite temperature, AdS_5--Schwarzschild X S^5, probed by a D7-brane. The D7-brane has topology R^4 X S^3 X S^1 and allowed solutions correspond to either the S^3 or the S^1 shrinking away in the interior of the geometry. The phase transition represents a jump between branches of solutions having these two distinct D-brane topologies. The transition also appears in the meson spectrum.

6.919657

6.444372

7.620008

6.528226

6.476236

6.678763

6.631313

6.399343

6.557876

8.264409

6.272301

6.6244

7.060438

6.754466

6.796487

6.587386

6.492744

6.527469

6.61457

7.509405

6.540554

hep-th/0112250

Nikolaj Glazunov

Nikolaj M. Glazunov

On algebraic geometric and computer algebra aspects of mirror symmetry

11 pages, CAAP'2001 (Dubna), SymmNMPh'2001 (Kiev)

EconfC0107094:623-628,2001

null

hep-th

null

We survey some algebraic geometric aspects of mirror symmetry and duality in string theory. Some applications of computer algebra to algebraic geometry and string theory are shortly reviewed.

[ { "created": "Fri, 28 Dec 2001 19:31:11 GMT", "version": "v1" }, { "created": "Sun, 30 Dec 2001 17:55:01 GMT", "version": "v2" } ]

2008-11-26

[ [ "Glazunov", "Nikolaj M.", "" ] ]

We survey some algebraic geometric aspects of mirror symmetry and duality in string theory. Some applications of computer algebra to algebraic geometry and string theory are shortly reviewed.

13.094811

9.304253

11.289472

10.203018

9.50019

11.106608

8.993289

9.125237

9.769581

14.028763

9.904718

10.283628

12.607285

11.167417

10.401777

10.203787

10.645297

10.84384

11.17197

12.941758

10.506191

1205.5618

Armen Yeranyan

Multi-Centered Black Hole Flows

17 pages,no figures

null

10.1007/JHEP08(2012)158

null

hep-th

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

We describe the systematical construction of the first order formalism for multi-centered black holes with flat three dimensional base-space, within the so-called $T^{3}$ model of N=2, D=4 ungauged Maxwell-Einstein supergravity. The three possible flow classes (BPS, composite non-BPS and almost-BPS) are analyzed in detail, and various solutions, such as single-centered (static or under-rotating) and all known multi-centered black holes, are recovered in this unified framework. We also consider the possibility of obtaining new solutions. The almost-BPS class is proved to split into two general sub-classes, corresponding to a positive or negative value of the duality-invariant polynomial for the total charge; the well known almost BPS system is shown to be a particular solution of the second sub-class.

[ { "created": "Fri, 25 May 2012 06:37:07 GMT", "version": "v1" }, { "created": "Thu, 30 Aug 2012 09:18:49 GMT", "version": "v2" } ]

2015-06-05

[ [ "Yeranyan", "Armen", "" ] ]

We describe the systematical construction of the first order formalism for multi-centered black holes with flat three dimensional base-space, within the so-called $T^{3}$ model of N=2, D=4 ungauged Maxwell-Einstein supergravity. The three possible flow classes (BPS, composite non-BPS and almost-BPS) are analyzed in detail, and various solutions, such as single-centered (static or under-rotating) and all known multi-centered black holes, are recovered in this unified framework. We also consider the possibility of obtaining new solutions. The almost-BPS class is proved to split into two general sub-classes, corresponding to a positive or negative value of the duality-invariant polynomial for the total charge; the well known almost BPS system is shown to be a particular solution of the second sub-class.

12.304358

10.768373

12.205284

10.885355

10.451261

10.643909

11.475974

10.833247

10.424439

13.625477

11.330426

11.535001

12.035398

10.951611

11.544894

11.137658

11.635356

11.088109

10.991271

11.699509

11.211751

0805.1247

Abouzeid Shalaby Dr.

Abouzeid. M. Shalaby

Representation Dependence of Superficial Degree of Divergences in Quantum Field Theory

14 pages one figure. The title has been changed

International Journal of Modern Physics A Vol. 26, No. 17 (2011) 2913

10.1142/S0217751X1105364X

null

hep-th

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

In this work, we investigate a very important but unstressed result in the work of Carl M. Bender, Jun-Hua Chen, and Kimball A. Milton ( J.Phys.A39:1657-1668, 2006). In this article, Bender \textit{et.al} have calculated the vacuum energy of the $i\phi^{3}$ scalar field theory and its Hermitian equivalent theory up to $g^{4}$ order of calculations. While all the Feynman diagrams of the $i\phi^{3}$ theory are finite in $0+1$ space-time dimensions, some of the corresponding Feynman diagrams in the equivalent Hermitian theory are divergent. In this work, we show that the divergences in the Hermitian theory originate from superrenormalizable, renormalizable and non-renormalizable terms in the interaction Hamiltonian even though the calculations are carried out in the $0+1$ space-time dimensions. Relying on this interesting result, we raise the question, is the superficial degree of divergence of a theory is representation dependent? To answer this question, we introduce and study a class of non-Hermitian quantum field theories characterized by a field derivative interaction Hamiltonian. We showed that the class is physically acceptable by finding the corresponding class of metric operators in a closed form. We realized that the obtained equivalent Hermitian and the introduced non-Hermitian representations have coupling constants of different mass dimensions which may be considered as a clue for the possibility of considering non-Renormalizability of a field theory as a non-genuine problem. Besides, the metric operator is supposed to disappear from path integral calculations which means that physical amplitudes can be fully obtained in the simpler non-Hermitian representation.

[ { "created": "Thu, 8 May 2008 21:24:46 GMT", "version": "v1" }, { "created": "Sat, 22 Jan 2011 17:33:51 GMT", "version": "v2" }, { "created": "Tue, 10 Feb 2015 10:59:11 GMT", "version": "v3" } ]

2015-02-11

[ [ "Shalaby", "Abouzeid. M.", "" ] ]

In this work, we investigate a very important but unstressed result in the work of Carl M. Bender, Jun-Hua Chen, and Kimball A. Milton ( J.Phys.A39:1657-1668, 2006). In this article, Bender \textit{et.al} have calculated the vacuum energy of the $i\phi^{3}$ scalar field theory and its Hermitian equivalent theory up to $g^{4}$ order of calculations. While all the Feynman diagrams of the $i\phi^{3}$ theory are finite in $0+1$ space-time dimensions, some of the corresponding Feynman diagrams in the equivalent Hermitian theory are divergent. In this work, we show that the divergences in the Hermitian theory originate from superrenormalizable, renormalizable and non-renormalizable terms in the interaction Hamiltonian even though the calculations are carried out in the $0+1$ space-time dimensions. Relying on this interesting result, we raise the question, is the superficial degree of divergence of a theory is representation dependent? To answer this question, we introduce and study a class of non-Hermitian quantum field theories characterized by a field derivative interaction Hamiltonian. We showed that the class is physically acceptable by finding the corresponding class of metric operators in a closed form. We realized that the obtained equivalent Hermitian and the introduced non-Hermitian representations have coupling constants of different mass dimensions which may be considered as a clue for the possibility of considering non-Renormalizability of a field theory as a non-genuine problem. Besides, the metric operator is supposed to disappear from path integral calculations which means that physical amplitudes can be fully obtained in the simpler non-Hermitian representation.

8.083546

8.459916

9.164613

8.115133

9.068067

8.620702

8.466825

8.246078

7.907282

10.24137

8.381536

7.983825

8.13164

7.908871

7.971007

8.135601

7.952858

8.00556

7.986064

8.282632

8.047213

1007.1820

Ryotaku Suzuki

Ryotaku Suzuki, Tetsuya Shiromizu, Norihiro Tanahashi

Extreme charged black holes in braneworld with cosmological constant

12 pages, 8 figures

Phys.Rev.D82:085029,2010

10.1103/PhysRevD.82.085029

null

hep-th gr-qc

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

Application of the adS/CFT correspondence to the RS models may predict that there is no static solution for black holes with a radius larger than the bulk curvature scale. When the black hole has an extremal horizon, however, the correspondence suggests that the black hole can stay static. We focus on the effects of cosmological constant on the brane on such extremal brane-localized black holes. We observe that the positive cosmological constant restrict the black hole size on the brane as in ordinary four-dimensional general relativity. The maximum black hole size differs from that in four-dimensional general relativity case due to the non-linear term in the effective Einstein equation. In the negative cosmological constant case, we obtain an implication on the Newton constant in the Karch-Randall model.

[ { "created": "Mon, 12 Jul 2010 04:29:05 GMT", "version": "v1" } ]

2010-11-11

[ [ "Suzuki", "Ryotaku", "" ], [ "Shiromizu", "Tetsuya", "" ], [ "Tanahashi", "Norihiro", "" ] ]

Application of the adS/CFT correspondence to the RS models may predict that there is no static solution for black holes with a radius larger than the bulk curvature scale. When the black hole has an extremal horizon, however, the correspondence suggests that the black hole can stay static. We focus on the effects of cosmological constant on the brane on such extremal brane-localized black holes. We observe that the positive cosmological constant restrict the black hole size on the brane as in ordinary four-dimensional general relativity. The maximum black hole size differs from that in four-dimensional general relativity case due to the non-linear term in the effective Einstein equation. In the negative cosmological constant case, we obtain an implication on the Newton constant in the Karch-Randall model.

9.887324

11.847337

9.553007

9.544128

10.265074

9.853463

10.249495

9.174035

9.904303

10.42787

9.582282

9.473959

9.345362

9.390678

9.649302

9.503347

9.462062

9.138744

9.304572

9.001419

9.221735

1211.3262

Alessio Marrani

Sergio Ferrara, Alessio Marrani, Andrey Shcherbakov, Armen Yeranyan

Multi-Centered First Order Formalism

1+22 pages; v2 : some typos fixes and Refs. added

null

10.1007/JHEP05(2013)127

CERN-PH-TH/2012-306

hep-th

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

We propose a first order formalism for multi-centered black holes with flat tree-dimensional base-space, within the stu model of N=2, D=4 ungauged Maxwell-Einstein supergravity. This provides a unified description of first order flows of this universal sector of all models with a symmetric scalar manifold which can be obtained by dimensional reduction from five dimensions. We develop a D=3 Cartesian formalism which suitably extends the definition of central and matter charges, as well as of black hole effective potential and first order "fake" superpotential, in order to deal with not necessarily axisimmetric solutions, and thus with multi-centered and/or (under-)rotating extremal black holes. We derive general first order flow equations for composite non-BPS and almost BPS classes, and we analyze some of their solutions, retrieving various single-centered (static or under-rotating) and multi-centered known systems. As in the t^3 model, the almost BPS class turns out to split into two general branches, and the well known almost BPS system is shown to be a particular solution of the second branch.

[ { "created": "Wed, 14 Nov 2012 10:15:27 GMT", "version": "v1" }, { "created": "Mon, 26 Nov 2012 18:27:07 GMT", "version": "v2" } ]

2015-06-12

[ [ "Ferrara", "Sergio", "" ], [ "Marrani", "Alessio", "" ], [ "Shcherbakov", "Andrey", "" ], [ "Yeranyan", "Armen", "" ] ]

We propose a first order formalism for multi-centered black holes with flat tree-dimensional base-space, within the stu model of N=2, D=4 ungauged Maxwell-Einstein supergravity. This provides a unified description of first order flows of this universal sector of all models with a symmetric scalar manifold which can be obtained by dimensional reduction from five dimensions. We develop a D=3 Cartesian formalism which suitably extends the definition of central and matter charges, as well as of black hole effective potential and first order "fake" superpotential, in order to deal with not necessarily axisimmetric solutions, and thus with multi-centered and/or (under-)rotating extremal black holes. We derive general first order flow equations for composite non-BPS and almost BPS classes, and we analyze some of their solutions, retrieving various single-centered (static or under-rotating) and multi-centered known systems. As in the t^3 model, the almost BPS class turns out to split into two general branches, and the well known almost BPS system is shown to be a particular solution of the second branch.

14.590708

12.734658

15.806779

12.806637

13.268718

12.694756

13.230574

12.917666

12.337505

17.299755

12.76428

13.431444

14.342885

12.763468

13.253257

13.373432

13.283448

12.674236

13.299148

14.588673

13.10918

hep-th/9503041

Arefeva Irina

L. Accardi, I.Ya.Aref'eva, S.V. Kozyrev and I.V.Volovich

The Master Field for Large $N$ Matrix Models and Quantum Groups

10 pages, LaTex

Mod.Phys.Lett. A10 (1995) 2323-2334

10.1142/S0217732395002489

CVV-203-95, SMI-06-95

hep-th math.QA q-alg

null

In recent works by Singer, Douglas and Gopakumar and Gross an application of results of Voiculescu from non-commutative probability theory to constructions of the master field for large $N$ matrix field theories have been suggested. In this note we consider interrelations between the master field and quantum groups. We define the master field algebra and observe that it is isomorphic to the algebra of functions on the quantum group $SU_q(2)$ for $q=0$. The master field becomes a central element of the quantum group Hopf algebra. The quantum Haar measure on the $SU_q(2)$ for any $q$ gives the Wigner semicircle distribution for the master field. Coherent states on $SU_q(2)$ become coherent states in the master field theory.

[ { "created": "Tue, 7 Mar 1995 12:34:58 GMT", "version": "v1" } ]

2016-09-06

[ [ "Accardi", "L.", "" ], [ "Aref'eva", "I. Ya.", "" ], [ "Kozyrev", "S. V.", "" ], [ "Volovich", "I. V.", "" ] ]

In recent works by Singer, Douglas and Gopakumar and Gross an application of results of Voiculescu from non-commutative probability theory to constructions of the master field for large $N$ matrix field theories have been suggested. In this note we consider interrelations between the master field and quantum groups. We define the master field algebra and observe that it is isomorphic to the algebra of functions on the quantum group $SU_q(2)$ for $q=0$. The master field becomes a central element of the quantum group Hopf algebra. The quantum Haar measure on the $SU_q(2)$ for any $q$ gives the Wigner semicircle distribution for the master field. Coherent states on $SU_q(2)$ become coherent states in the master field theory.

7.372966

6.901414

8.061273

7.294753

7.277281

7.519423

7.485759

6.911123

7.285407

9.264948

6.872632

7.024618

7.139101

7.066294

7.090494

6.976829

7.093005

7.043388

7.064548

7.352025

7.304227

1901.06069

Christopher Raymond

Jorgen Rasmussen, Christopher Raymond

Higher-order Galilean contractions

15 pages

null

10.1016/j.nuclphysb.2019.114680

null

hep-th math-ph math.MP

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

A Galilean contraction is a way to construct Galilean conformal algebras from a pair of infinite-dimensional conformal algebras, or equivalently, a method for contracting tensor products of vertex algebras. Here, we present a generalisation of the Galilean contraction prescription to allow for inputs of any finite number of conformal algebras, resulting in new classes of higher-order Galilean conformal algebras. We provide several detailed examples, including infinite hierarchies of higher-order Galilean Virasoro algebras, affine Kac-Moody algebras and the associated Sugawara constructions, and $W_{3}$ algebras.

[ { "created": "Fri, 18 Jan 2019 03:19:12 GMT", "version": "v1" }, { "created": "Wed, 26 Jun 2019 08:35:14 GMT", "version": "v2" } ]

2019-07-24

[ [ "Rasmussen", "Jorgen", "" ], [ "Raymond", "Christopher", "" ] ]

A Galilean contraction is a way to construct Galilean conformal algebras from a pair of infinite-dimensional conformal algebras, or equivalently, a method for contracting tensor products of vertex algebras. Here, we present a generalisation of the Galilean contraction prescription to allow for inputs of any finite number of conformal algebras, resulting in new classes of higher-order Galilean conformal algebras. We provide several detailed examples, including infinite hierarchies of higher-order Galilean Virasoro algebras, affine Kac-Moody algebras and the associated Sugawara constructions, and $W_{3}$ algebras.

6.75352

5.642773

6.747293

5.670237

5.896034

5.96698

5.65316

5.844685

6.159876

7.11229

5.810648

6.029281

6.736928

5.899999

6.114984

6.013796

6.0091

6.019547

5.755631

6.434141

5.69593

1008.3110

Mathew Bullimore

Inverse Soft Factors and Grassmannian Residues

32 pages, 24 figures, Minor corrections

JHEP 1101:055,2011

10.1007/JHEP01(2011)055

null

hep-th

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

The action of inverse soft factors on scattering amplitudes in N=4 SYM is shown to take a remarkably simple form in momentum twistor space. This is used to identify individual residues of the grassmannian with primitive leading singularities at NMHV and N^2MHV and to derive explicit expressions in terms of momentum twistors.

[ { "created": "Wed, 18 Aug 2010 15:23:11 GMT", "version": "v1" }, { "created": "Mon, 18 Oct 2010 16:12:14 GMT", "version": "v2" } ]

2011-02-16

[ [ "Bullimore", "Mathew", "" ] ]

The action of inverse soft factors on scattering amplitudes in N=4 SYM is shown to take a remarkably simple form in momentum twistor space. This is used to identify individual residues of the grassmannian with primitive leading singularities at NMHV and N^2MHV and to derive explicit expressions in terms of momentum twistors.

12.47792

9.584023

13.956327

9.539039

9.158661

9.754398

9.65907

8.355335

10.244164

14.932123

8.807325

9.388471

11.382485

9.641126

9.730499

9.991759

9.038202

10.377093

9.712245

11.880944

9.569443

1112.3346

Eduardo Conde Pena

Eduardo Conde, Jerome Gaillard, Carlos Nunez, Maurizio Piai, Alfonso V. Ramallo

Towards the string dual of tumbling and cascading gauge theories

7 pages, 6 figures ; v2. minor changes included

Phys. Lett. B, Volume 709, Issues 4-5, March 2012, 385

10.1016/j.physletb.2012.02.037

null

hep-th hep-ph

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

We build type IIB backgrounds that can be interpreted as the dual description of field theories in which the dynamics shows many non-trivial phenomena, generalizing the baryonic branch of the Klebanov-Strassler system. We illustrate the steps of the explicit construction with a particularly interesting example. The dual field theory exhibits the expected behavior of an N=1 supersymmetric gauge theory which, over different ranges of the radial direction, is undergoing a cascade of Seiberg dualities, a period of running, a cascade of Higgsings (tumbling) and finally gaugino condensation.

[ { "created": "Wed, 14 Dec 2011 21:00:01 GMT", "version": "v1" }, { "created": "Fri, 9 Mar 2012 14:18:08 GMT", "version": "v2" } ]

2012-03-12

[ [ "Conde", "Eduardo", "" ], [ "Gaillard", "Jerome", "" ], [ "Nunez", "Carlos", "" ], [ "Piai", "Maurizio", "" ], [ "Ramallo", "Alfonso V.", "" ] ]

We build type IIB backgrounds that can be interpreted as the dual description of field theories in which the dynamics shows many non-trivial phenomena, generalizing the baryonic branch of the Klebanov-Strassler system. We illustrate the steps of the explicit construction with a particularly interesting example. The dual field theory exhibits the expected behavior of an N=1 supersymmetric gauge theory which, over different ranges of the radial direction, is undergoing a cascade of Seiberg dualities, a period of running, a cascade of Higgsings (tumbling) and finally gaugino condensation.

11.855542

9.92191

13.199916

9.709135

9.713829

10.384739

10.630291

10.40939

9.818116

14.810507

9.769071

10.64082

10.764441

10.226662

10.569161

10.472657

10.412421

10.311555

10.390797

11.801157

10.282446

0707.1085

Mikhail Vasiliev a

M. A. Vasiliev

On Conformal, SL(4,R) and Sp(8,R) Symmetries of 4d Massless Fields

66 pages, V2: minor corrections, references and acknowledgments added, coefficients and typos corrected, V3: typos corrected, version to appear in Nucl. Phys. B

Nucl.Phys.B793:469-526,2008

10.1016/j.nuclphysb.2007.10.017

null

hep-th

null

The $sp(8, R)$ invariant formulation of free field equations of massless fields of all spins in $AdS_4$ available previously in terms of gauge invariant field strengths is extended to gauge potentials. As a by-product, free field equations for a massless gauge field are shown to possess both $su(2,2)\sim o(4,2)$ and $sl(4,R)\sim o(3,3)$ symmetry. The proposed formulation is well-defined in the $AdS_4$ background but experiences certain degeneracy in the flat limit that does not allow conformal invariant field equations for spin $s>1$ gauge fields in Minkowski space. The basis model involves the doubled set of fields of all spins. It is manifestly invariant under U(1) electric-magnetic duality extended to higher spins. Reduction to a single massless field contains the equations that relate its electric and magnetic potentials which are mixed by the conformal transformations for s>1. We use the unfolded formulation approach recalled in the paper with some emphasis on the role of Chevalley-Eilenberg cohomology of a Lie algebra $g$ in $g$-invariant field equations. This method makes it easy to guess a form of the 4d $sp(8, R)$ invariant massless field equations and then to extend them to the ten dimensional $sp(8,R)$ invariant space-time. Dynamical content of the field equations is analyzed in terms of $\sigma_-$ cohomology.

[ { "created": "Sat, 7 Jul 2007 19:06:54 GMT", "version": "v1" }, { "created": "Thu, 23 Aug 2007 21:25:57 GMT", "version": "v2" }, { "created": "Fri, 16 Nov 2007 21:52:31 GMT", "version": "v3" } ]

2008-11-26

[ [ "Vasiliev", "M. A.", "" ] ]

The $sp(8, R)$ invariant formulation of free field equations of massless fields of all spins in $AdS_4$ available previously in terms of gauge invariant field strengths is extended to gauge potentials. As a by-product, free field equations for a massless gauge field are shown to possess both $su(2,2)\sim o(4,2)$ and $sl(4,R)\sim o(3,3)$ symmetry. The proposed formulation is well-defined in the $AdS_4$ background but experiences certain degeneracy in the flat limit that does not allow conformal invariant field equations for spin $s>1$ gauge fields in Minkowski space. The basis model involves the doubled set of fields of all spins. It is manifestly invariant under U(1) electric-magnetic duality extended to higher spins. Reduction to a single massless field contains the equations that relate its electric and magnetic potentials which are mixed by the conformal transformations for s>1. We use the unfolded formulation approach recalled in the paper with some emphasis on the role of Chevalley-Eilenberg cohomology of a Lie algebra $g$ in $g$-invariant field equations. This method makes it easy to guess a form of the 4d $sp(8, R)$ invariant massless field equations and then to extend them to the ten dimensional $sp(8,R)$ invariant space-time. Dynamical content of the field equations is analyzed in terms of $\sigma_-$ cohomology.

10.080053

9.502219

10.880982

8.958935

8.943359

9.469806

9.786508

8.883744

8.822956

10.588966

8.864245

8.849811

9.614311

8.955003

9.190104

8.99326

9.067632

8.973334

9.021154

9.959717

9.054824

0901.0561

Luis Granda

L.N. Granda and A. Oliveros

Holographic reconstruction of the k-essence and dilaton models

17 pages, 4 figures, references added, changes at the end of sections 3 and 4

null

hep-th

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

We propose an holographic $k$-essence and dilaton models of dark energy. The correspondence between the $k$-essence and dilaton energy densities with the holographic density, allows the reconstruction of the potential and the fields for the $k$-essence and dilaton models in flat FRW background. For the proposed infrared cut-off the reconstruction was made for the two cases of the constant $\alpha$: for $\alpha<1$ the model presents phantom crossing and the reconstruction was made in the region before the $\omega=-1$ crossing for the EoS parameter. The cosmological dynamics for $\alpha>1$ was also reconstructed. The reconstruction is consistent with the observational data.

[ { "created": "Mon, 5 Jan 2009 21:33:40 GMT", "version": "v1" }, { "created": "Mon, 12 Jan 2009 18:35:39 GMT", "version": "v2" }, { "created": "Thu, 28 Jan 2010 03:01:47 GMT", "version": "v3" } ]

2010-01-28

[ [ "Granda", "L. N.", "" ], [ "Oliveros", "A.", "" ] ]

We propose an holographic $k$-essence and dilaton models of dark energy. The correspondence between the $k$-essence and dilaton energy densities with the holographic density, allows the reconstruction of the potential and the fields for the $k$-essence and dilaton models in flat FRW background. For the proposed infrared cut-off the reconstruction was made for the two cases of the constant $\alpha$: for $\alpha<1$ the model presents phantom crossing and the reconstruction was made in the region before the $\omega=-1$ crossing for the EoS parameter. The cosmological dynamics for $\alpha>1$ was also reconstructed. The reconstruction is consistent with the observational data.

8.795723

8.977318

7.60472

7.534769

8.487005

8.122906

8.305584

7.093413

8.059447

7.324312

7.704535

8.18189

8.081038

8.175446

8.039926

7.974768

8.343328

7.869959

8.099479

8.076295

8.293405

hep-th/9706073

Pei Ming Ho

Pei-Ming Ho, Miao Li, Yong-Shi Wu

P-P' Strings in M(atrix) Theory

minor modification, references added. 21 pages, Latex, minor modification made

Nucl.Phys. B525 (1998) 146-162

10.1016/S0550-3213(98)00241-7

UU-HEP/97-02, EFI-97-24

hep-th

null

We study the off-diagonal blocks in the M(atrix) model that are supposed to correspond to open strings stretched between a Dp-brane and a Dp'-brane. It is shown that the spectrum, including the quantum numbers, of the zero modes in the off-diagonal blocks can be determined from the index theorem and unbroken supersymmetry, and indeed reproduces string theory predictions for p-p' strings. Previously the matrix description of a longitudinal fivebrane needed to introduce extra degrees of freedom corresponding to 0-4 strings by hand. We show that they are naturally associated with the off-diagonal zero modes, and the supersymmetry transformation laws and low energy effective action postulated for them are now derivable from the M(atrix) theory.

[ { "created": "Tue, 10 Jun 1997 22:40:47 GMT", "version": "v1" }, { "created": "Fri, 20 Jun 1997 22:03:00 GMT", "version": "v2" }, { "created": "Tue, 2 Dec 1997 16:37:05 GMT", "version": "v3" } ]

2009-10-30

[ [ "Ho", "Pei-Ming", "" ], [ "Li", "Miao", "" ], [ "Wu", "Yong-Shi", "" ] ]

We study the off-diagonal blocks in the M(atrix) model that are supposed to correspond to open strings stretched between a Dp-brane and a Dp'-brane. It is shown that the spectrum, including the quantum numbers, of the zero modes in the off-diagonal blocks can be determined from the index theorem and unbroken supersymmetry, and indeed reproduces string theory predictions for p-p' strings. Previously the matrix description of a longitudinal fivebrane needed to introduce extra degrees of freedom corresponding to 0-4 strings by hand. We show that they are naturally associated with the off-diagonal zero modes, and the supersymmetry transformation laws and low energy effective action postulated for them are now derivable from the M(atrix) theory.

10.349425

11.142773

10.605121

9.274567

10.437602

9.454535

9.968349

9.189178

9.251244

12.914696

9.547169

9.293449

9.880874

9.357938

9.473644

9.411163

9.197028

9.56234

9.637598

9.982737

9.417321

hep-th/9511152

Edward Derrick

A.C. Avram(1), E. Derrick(2), D. Jancic(1) ((1) U. Texas at Austin, (2) Humboldt Uni. zu Berlin)

On Semi-Periods

18 pages, plain TeX. Revised derivation of $\Delta^*$ system of equations; version to appear in Nuclear Physics B

Nucl.Phys. B471 (1996) 293-308

10.1016/0550-3213(96)00149-6

UTTG-15-95, HUB-IEP-95/23

hep-th alg-geom math.AG

null

The periods of the three-form on a Calabi-Yau manifold are found as solutions of the Picard-Fuchs equations; however, the toric varietal method leads to a generalized hypergeometric system of equations which has more solutions than just the periods. This same extended set of equations can be derived from symmetry considerations. Semi-periods are solutions of this extended system. They are obtained by integration of the three-form over chains; these chains can be used to construct cycles which, when integrated over, give periods. In simple examples we are able to obtain the complete set of solutions for the extended system. We also conjecture that a certain modification of the method will generate the full space of solutions in general.

[ { "created": "Wed, 22 Nov 1995 11:40:35 GMT", "version": "v1" }, { "created": "Mon, 18 Mar 1996 10:45:18 GMT", "version": "v2" } ]

2009-10-28

[ [ "Avram", "A. C.", "" ], [ "Derrick", "E.", "" ], [ "Jancic", "D.", "" ] ]

The periods of the three-form on a Calabi-Yau manifold are found as solutions of the Picard-Fuchs equations; however, the toric varietal method leads to a generalized hypergeometric system of equations which has more solutions than just the periods. This same extended set of equations can be derived from symmetry considerations. Semi-periods are solutions of this extended system. They are obtained by integration of the three-form over chains; these chains can be used to construct cycles which, when integrated over, give periods. In simple examples we are able to obtain the complete set of solutions for the extended system. We also conjecture that a certain modification of the method will generate the full space of solutions in general.

11.997712

12.04208

11.9351

10.944983

11.640844

11.366092

11.749915

11.433867

11.243279

13.953256

10.988593

10.785159

11.605227

10.779038

10.984724

10.974627

10.969895

11.114861

11.207582

11.739174

10.780861

hep-th/0305061

Franco Pezzella

P. Di Vecchia (NORDITA, Copenhagen), A. Liccardo, R. Marotta and F. Pezzella (Dip.to Scienze Fisiche - Napoli Univ. and INFN, sez. Napoli)

Gauge/Gravity Correspondence from Open/Closed String Duality

LaTeX, 28 pages

JHEP 0306 (2003) 007

10.1088/1126-6708/2003/06/007

DSF-13/2003, NORDITA-2003-23-HE

hep-th

null

We compute the annulus diagram corresponding to the interaction of a fractional D3 brane with a gauge field on its world-volume and a stack of N fractional D3 branes on the orbifolds C^2 /Z_2 and C^3/Z_2 x Z_2. We show that its logarithmic divergence can be equivalently understood as due either to massless open string states circulating in the loop or to massless closed string states exchanged between two boundary states. This follows from the fact that, under open/closed string duality, massless states in the open and closed string channels are matched into each other without mixing with massive states. This explains why the perturbative properties of many gauge theories living on the worldvolume of less supersymmetric and nonconformal branes have been recently obtained from their corresponding supergravity solution.

[ { "created": "Thu, 8 May 2003 09:24:03 GMT", "version": "v1" } ]

2009-11-10

[ [ "Di Vecchia", "P.", "", "NORDITA, Copenhagen" ], [ "Liccardo", "A.", "", "Dip.to Scienze Fisiche - Napoli Univ. and INFN, sez. Napoli" ], [ "Marotta", "R.", "", "Dip.to Scienze Fisiche - Napoli Univ. and INFN, sez. Napoli" ], [ "Pezzella", "F.", "", "Dip.to Scienze Fisiche - Napoli Univ. and INFN, sez. Napoli" ] ]

We compute the annulus diagram corresponding to the interaction of a fractional D3 brane with a gauge field on its world-volume and a stack of N fractional D3 branes on the orbifolds C^2 /Z_2 and C^3/Z_2 x Z_2. We show that its logarithmic divergence can be equivalently understood as due either to massless open string states circulating in the loop or to massless closed string states exchanged between two boundary states. This follows from the fact that, under open/closed string duality, massless states in the open and closed string channels are matched into each other without mixing with massive states. This explains why the perturbative properties of many gauge theories living on the worldvolume of less supersymmetric and nonconformal branes have been recently obtained from their corresponding supergravity solution.

8.778297

7.877628

9.766685

7.465008

8.78443

8.28958

7.728593

7.715929

7.171779

10.17041

7.542061

7.743659

8.489102

7.840354

7.543836

7.988825

8.047371

7.926899

7.883263

8.61118

7.565058

2010.08504

Evan Coleman

Evan Coleman, Vasudev Shyam

Conformal Boundary Conditions from Cutoff AdS$_3$

17 pages, 0 figures

null

10.1007/JHEP09(2021)079

null

hep-th gr-qc

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

We construct a particular flow in the space of 2D Euclidean QFTs on a torus, which we argue is dual to a class of solutions in 3D Euclidean gravity with conformal boundary conditions. This new flow comes from a Legendre transform of the kernel which implements the $T\bar{T}$ deformation, and is motivated by the need for boundary conditions in Euclidean gravity to be elliptic, i.e. that they have well-defined propagators for metric fluctuations. We demonstrate equivalence between our flow equation and variants of the Wheeler de-Witt equation for a torus universe in the so-called Constant Mean Curvature (CMC) slicing. We derive a kernel for the flow, and we compute the corresponding ground state energy in the low-temperature limit. Once deformation parameters are fixed, the existence of the ground state is independent of the initial data, provided the seed theory is a CFT. The high-temperature density of states has Cardy-like behavior, rather than the Hagedorn growth characteristic of $T\bar{T}$-deformed theories.

[ { "created": "Fri, 16 Oct 2020 16:59:39 GMT", "version": "v1" } ]

2021-09-29

[ [ "Coleman", "Evan", "" ], [ "Shyam", "Vasudev", "" ] ]

We construct a particular flow in the space of 2D Euclidean QFTs on a torus, which we argue is dual to a class of solutions in 3D Euclidean gravity with conformal boundary conditions. This new flow comes from a Legendre transform of the kernel which implements the $T\bar{T}$ deformation, and is motivated by the need for boundary conditions in Euclidean gravity to be elliptic, i.e. that they have well-defined propagators for metric fluctuations. We demonstrate equivalence between our flow equation and variants of the Wheeler de-Witt equation for a torus universe in the so-called Constant Mean Curvature (CMC) slicing. We derive a kernel for the flow, and we compute the corresponding ground state energy in the low-temperature limit. Once deformation parameters are fixed, the existence of the ground state is independent of the initial data, provided the seed theory is a CFT. The high-temperature density of states has Cardy-like behavior, rather than the Hagedorn growth characteristic of $T\bar{T}$-deformed theories.

10.456432

9.004714

10.885464

8.848389

9.299223

9.368814

9.065285

9.203767

9.100247

12.543008

9.446809

9.362681

9.766096

9.134057

9.25948

9.540768

9.261757

9.091406

9.262888

9.924051

8.841365

hep-th/9901096

Dr. Burkhard Kleihaus

B. Kleihaus (NUI Maynooth, Ireland)

On the regularity of static axially symmetric solutions in SU(2) Yang-Mills-dilaton theory

18 pages, no figures, LaTex format using RevTex, minor typos corrected, final version to appear in Phys. Rev. D

Phys.Rev. D59 (1999) 125001

10.1103/PhysRevD.59.125001

null

hep-th

null

The regularity of static axially symmetric solutions in SU(2) Yang-Mills-dilaton theory is examined. We show that the solutions obtained previously within a singular Ansatz for the non-abelian gauge field can be gauge transformed into a regular form. The local form of the gauge transformation is given on the singular axis and at the origin.

[ { "created": "Thu, 21 Jan 1999 09:42:06 GMT", "version": "v1" }, { "created": "Thu, 8 Apr 1999 17:03:43 GMT", "version": "v2" } ]

2009-10-31

[ [ "Kleihaus", "B.", "", "NUI Maynooth, Ireland" ] ]

The regularity of static axially symmetric solutions in SU(2) Yang-Mills-dilaton theory is examined. We show that the solutions obtained previously within a singular Ansatz for the non-abelian gauge field can be gauge transformed into a regular form. The local form of the gauge transformation is given on the singular axis and at the origin.

10.095155

6.440045

7.774825

6.571684

7.236146

6.904567

6.742268

7.0282

7.244845

7.713158

7.193186

7.517287

8.443468

8.089937

7.738193

7.801171

8.009815

7.932123

7.652454

7.967084

8.088128

1710.04669

Manuel Reichert

Nicolai Christiansen, Daniel F. Litim, Jan M. Pawlowski and Manuel Reichert

One force to rule them all: asymptotic safety of gravity with matter

29 pages, 18 figures, 1 table; v2: extended discussion in Sec. 2, refs updated; v3: matches journal version

Phys. Rev. D 97, 106012 (2018)

10.1103/PhysRevD.97.106012

null

hep-th gr-qc

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

We study the asymptotic safety conjecture for quantum gravity in the presence of matter fields. A general line of reasoning is put forward explaining why gravitons dominate the high-energy behaviour, largely independently of the matter fields as long as these remain sufficiently weakly coupled. Our considerations are put to work for gravity coupled to Yang-Mills theories with the help of the functional renormalisation group. In an expansion about flat backgrounds, explicit results for beta functions, fixed points, universal exponents, and scaling solutions are given in systematic approximations exploiting running propagators, vertices, and background couplings. Invariably, we find that the gauge coupling becomes asymptotically free while the gravitational sector becomes asymptotically safe. The dependence on matter field multiplicities is weak. We also explain how the scheme dependence, which is more pronounced, can be handled without changing the physics. Our findings offer a new interpretation of many earlier results, which is explained in detail. The results generalise to theories with minimally coupled scalar and fermionic matter. Some implications for the ultraviolet closure of the Standard Model or its extensions are given.

[ { "created": "Thu, 12 Oct 2017 18:00:05 GMT", "version": "v1" }, { "created": "Fri, 15 Dec 2017 17:05:11 GMT", "version": "v2" }, { "created": "Thu, 14 Jun 2018 17:43:34 GMT", "version": "v3" } ]

2018-06-15

[ [ "Christiansen", "Nicolai", "" ], [ "Litim", "Daniel F.", "" ], [ "Pawlowski", "Jan M.", "" ], [ "Reichert", "Manuel", "" ] ]

We study the asymptotic safety conjecture for quantum gravity in the presence of matter fields. A general line of reasoning is put forward explaining why gravitons dominate the high-energy behaviour, largely independently of the matter fields as long as these remain sufficiently weakly coupled. Our considerations are put to work for gravity coupled to Yang-Mills theories with the help of the functional renormalisation group. In an expansion about flat backgrounds, explicit results for beta functions, fixed points, universal exponents, and scaling solutions are given in systematic approximations exploiting running propagators, vertices, and background couplings. Invariably, we find that the gauge coupling becomes asymptotically free while the gravitational sector becomes asymptotically safe. The dependence on matter field multiplicities is weak. We also explain how the scheme dependence, which is more pronounced, can be handled without changing the physics. Our findings offer a new interpretation of many earlier results, which is explained in detail. The results generalise to theories with minimally coupled scalar and fermionic matter. Some implications for the ultraviolet closure of the Standard Model or its extensions are given.

9.204372

10.225622

10.090494

9.095884

9.417094

10.020064

10.886525

9.881021

9.896808

11.239965

9.384973

9.256006

9.898216

9.30009

9.574377

9.506702

9.459894

9.250449

9.393179

9.819593

9.210684

1701.00968

Harvendra Singh

D2-D8 system with massive strings and the Lifshitz spacetimes

19 pages; minor changes

null

10.1007/JHEP04(2017)011

null

hep-th

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

The Romans type IIA supergravity allows fundamental strings to have explicit mass term at the tree level. We show that there exists a (F1,D2,D8) brane configuration which gives rise to $Lif_4^{(2)}\times {R}^1\times S^5$ vacua supported by the massive strings. The presence of D8-branes naturally excites massive fundamental strings. A compactification on circle relates these Lifshitz massive type-IIA background with the axion-flux $Lif_4^{(2)}\times {S}^1\times S^5$ vacua in ordinary type-IIB theory. The massive T-duality in eight dimensions further relates them to yet another $\widetilde{Lif}_4^{(2)}\times S^1\times S^5$ vacua constituted by (F1,D0,D6) system in ordinary type IIA theory. The latter vacua after compactification to four dimensions generate two `distinct' electric charges and a constant magnetic field, all living over 2-dimensional plane. This somewhat reminds us of a similar set up in quantum Hall systems.

[ { "created": "Wed, 4 Jan 2017 11:19:39 GMT", "version": "v1" }, { "created": "Tue, 25 Apr 2017 11:52:09 GMT", "version": "v2" } ]

2017-04-26

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

The Romans type IIA supergravity allows fundamental strings to have explicit mass term at the tree level. We show that there exists a (F1,D2,D8) brane configuration which gives rise to $Lif_4^{(2)}\times {R}^1\times S^5$ vacua supported by the massive strings. The presence of D8-branes naturally excites massive fundamental strings. A compactification on circle relates these Lifshitz massive type-IIA background with the axion-flux $Lif_4^{(2)}\times {S}^1\times S^5$ vacua in ordinary type-IIB theory. The massive T-duality in eight dimensions further relates them to yet another $\widetilde{Lif}_4^{(2)}\times S^1\times S^5$ vacua constituted by (F1,D0,D6) system in ordinary type IIA theory. The latter vacua after compactification to four dimensions generate two `distinct' electric charges and a constant magnetic field, all living over 2-dimensional plane. This somewhat reminds us of a similar set up in quantum Hall systems.

11.788807

11.335535

11.862246

10.883502

11.430771

11.60227

12.44384

10.851564

10.155397

13.804288

10.179485

10.287892

11.289281

10.422227

10.848844

10.922513

10.527828

10.727793

10.503248

11.34775

10.636459

hep-th/9802097

Ruslan Metsaev

R.R.Metsaev (Lebedev Physical Institute)

Fermionic fields in the d-dimensional anti-de Sitter spacetime

12 pages, LaTeX

Phys.Lett. B419 (1998) 49-56

10.1016/S0370-2693(97)01446-9

null

hep-th

null

Arbitrary spin free massless fermionic fields corresponding to mixed symmetry representations of the \hbox{$SO(d-1)$} compact group and propagating in even $d$-dimensional anti-de Sitter spacetime are investigated. Free wave equations of motion, subsidiary conditions and the corresponding gauge transformations for such fields are proposed. The lowest eigenvalues of the energy operator for the massless fields and the gauge parameter fields are derived. The results are formulated in $SO(d-1,2)$ covariant form as well as in terms of intrinsic coordinates.

[ { "created": "Fri, 13 Feb 1998 09:50:51 GMT", "version": "v1" } ]

2009-10-31

[ [ "Metsaev", "R. R.", "", "Lebedev Physical Institute" ] ]

Arbitrary spin free massless fermionic fields corresponding to mixed symmetry representations of the \hbox{$SO(d-1)$} compact group and propagating in even $d$-dimensional anti-de Sitter spacetime are investigated. Free wave equations of motion, subsidiary conditions and the corresponding gauge transformations for such fields are proposed. The lowest eigenvalues of the energy operator for the massless fields and the gauge parameter fields are derived. The results are formulated in $SO(d-1,2)$ covariant form as well as in terms of intrinsic coordinates.

10.451749

7.93145

9.922954

8.137909

8.017591

7.76545

7.446326

8.033581

8.176625

11.319755

8.378263

8.387525

9.133287

8.556561

8.643707

8.338579

8.299509

8.456752

8.506396

9.400888

8.765136

hep-th/9307133

null

M. Temple-Raston

Quantization of Bogomol'nyi soliton dynamics

9 pages, Plain TeX, 2 figures (not included), CON-93-1

null

hep-th hep-ph

null

We approximate analytically the semi-classical differential cross-section for low-energy solitonic BPS SU(2) magnetic monopoles using the geodesic approximation. The semi-classical scattering amplitude, f(\theta), can be expressed as a conditionally convergent infinite series which is made absolutely convergent by analytic continuation of the generalised zeta function. Our results suggest that the classical solitonic cross-section (computed numerically in hep-th:9209063) and the semi-classical cross-section are in good agreement over a wide range of scattering angles, \pi/3<\theta<\pi/2 and \pi/2<\theta<2\pi/3.

[ { "created": "Wed, 21 Jul 1993 12:47:15 GMT", "version": "v1" } ]

2007-05-23

[ [ "Temple-Raston", "M.", "" ] ]

We approximate analytically the semi-classical differential cross-section for low-energy solitonic BPS SU(2) magnetic monopoles using the geodesic approximation. The semi-classical scattering amplitude, f(\theta), can be expressed as a conditionally convergent infinite series which is made absolutely convergent by analytic continuation of the generalised zeta function. Our results suggest that the classical solitonic cross-section (computed numerically in hep-th:9209063) and the semi-classical cross-section are in good agreement over a wide range of scattering angles, \pi/3<\theta<\pi/2 and \pi/2<\theta<2\pi/3.

8.307157

9.000216

8.593446

7.93574

8.048424

8.386467

7.989378

6.92232

8.011485

8.855326

7.894864

7.931567

8.582142

7.936285

8.014995

7.777508

7.52217

7.782458

7.730501

8.27711

8.259981

hep-th/9312037

Jean-Michel Maillet

J. M. Maillet (Laboratoire de Physique Theorique, ENS Lyon, France)

On Pentagon And Tetrahedron Equations

13 pages

St. Petersburg Math. J. 6:2 (1995) 375-383

null

hep-th nlin.SI solv-int

null

We show that solutions of Pentagon equations lead to solutions of the Tetrahedron equation. The result is obtained in the spectral parameter dependent case.

[ { "created": "Sat, 4 Dec 1993 10:58:01 GMT", "version": "v1" } ]

2018-08-30

[ [ "Maillet", "J. M.", "", "Laboratoire de Physique Theorique, ENS Lyon, France" ] ]

We show that solutions of Pentagon equations lead to solutions of the Tetrahedron equation. The result is obtained in the spectral parameter dependent case.

18.247454

14.422911

17.080645

12.928805

12.864293

17.1954

16.308331

12.86811

14.606691

18.049891

13.039322

13.890635

15.719521

13.230425

14.537775

13.265766

15.197208

13.035831

14.15697

13.821892

12.955914

hep-th/0212041

Andreas Karch

Lightcone Quantization of String Theory Duals of Free Field Theories

9 pages, Latex; v2: typos corrected, references added; v3: a few more typos

null

UW-PT-02/27

hep-th

null

We quantize in light cone gauge the bosonic sector of string theory on Anti-de Sitter space in the zero curvature radius limit. We find that the worldsheet falls apart into a theory of free partons and map the Hilbert space of the string theory to the Hilbert space of a free scalar in light-front description. We outline how the string worldsheet reproduces the field theory at weak coupling.

[ { "created": "Wed, 4 Dec 2002 07:12:18 GMT", "version": "v1" }, { "created": "Fri, 6 Dec 2002 02:09:21 GMT", "version": "v2" }, { "created": "Sat, 21 Dec 2002 03:57:45 GMT", "version": "v3" } ]

2007-05-23

[ [ "Karch", "Andreas", "" ] ]

We quantize in light cone gauge the bosonic sector of string theory on Anti-de Sitter space in the zero curvature radius limit. We find that the worldsheet falls apart into a theory of free partons and map the Hilbert space of the string theory to the Hilbert space of a free scalar in light-front description. We outline how the string worldsheet reproduces the field theory at weak coupling.

16.32074

13.247706

16.057655

13.624139

14.334391

14.34016

14.859797

13.338195

14.396602

16.54096

14.645928

14.540143

15.308002

14.002224

13.864265

13.451676

13.474427

14.569774

14.510716

15.498306

13.93757

hep-th/0405192

Wung-Hong Huang

Condensation of Tubular D2-branes in Magnetic Field Background

Latex 10 pages, mention the dynamical joining of the tubes, modify figure 1

Phys.Rev. D70 (2004) 107901

10.1103/PhysRevD.70.107901

null

hep-th

null

It is known that in the Minkowski vacuum a bunch of IIA superstrings with D0-branes can be blown-up to a supersymmetric tubular D2-brane, which is supported against collapse by the angular momentum generated by crossed electric and magnetic Born-Infeld (BI) fields. In this paper we show how the multiple, smaller tubes with relative angular momentum could condense to a single, larger tube to stabilize the system. Such a phenomena could also be shown in the systems under the Melvin magnetic tube or uniform magnetic field background. However, depending on the magnitude of field strength, a tube in the uniform magnetic field background may split into multiple, smaller tubes with relative angular momentum to stabilize the system.

[ { "created": "Mon, 24 May 2004 12:08:22 GMT", "version": "v1" }, { "created": "Fri, 28 May 2004 18:13:10 GMT", "version": "v2" }, { "created": "Sun, 30 May 2004 13:31:58 GMT", "version": "v3" }, { "created": "Sun, 22 Aug 2004 14:07:17 GMT", "version": "v4" } ]

2009-11-10

[ [ "Huang", "Wung-Hong", "" ] ]

It is known that in the Minkowski vacuum a bunch of IIA superstrings with D0-branes can be blown-up to a supersymmetric tubular D2-brane, which is supported against collapse by the angular momentum generated by crossed electric and magnetic Born-Infeld (BI) fields. In this paper we show how the multiple, smaller tubes with relative angular momentum could condense to a single, larger tube to stabilize the system. Such a phenomena could also be shown in the systems under the Melvin magnetic tube or uniform magnetic field background. However, depending on the magnitude of field strength, a tube in the uniform magnetic field background may split into multiple, smaller tubes with relative angular momentum to stabilize the system.

14.157911

11.299573

14.268745

11.781571

11.69007

11.821322

11.897393

12.051282

11.785589

15.865963

12.270817

12.80503

13.240273

12.801352

11.983164

12.736259

12.395368

12.447069

12.110634

13.470017

12.446837

0704.3586

Matthias Staudacher

A.V. Kotikov, L.N. Lipatov, A. Rej, M. Staudacher and V.N. Velizhanin

Dressing and Wrapping

20 pages, 2 tables, no figures; v2: references added, conjecture on exact four-loop twist-two result stated

J.Stat.Mech.0710:P10003,2007

10.1088/1742-5468/2007/10/P10003

AEI-2007-024

hep-th hep-ph

null

We prove that the validity of the recently proposed dressed, asymptotic Bethe ansatz for the planar AdS/CFT system is indeed limited at weak coupling by operator wrapping effects. This is done by comparing the Bethe ansatz predictions for the four-loop anomalous dimension of finite-spin twist-two operators to BFKL constraints from high-energy scattering amplitudes in N=4 gauge theory. We find disagreement, which means that the ansatz breaks down for length-two operators at four-loop order. Our method supplies precision tools for multiple all-loop tests of the veracity of any yet-to-be constructed set of exact spectral equations. Finally we present a conjecture for the exact four-loop anomalous dimension of the family of twist-two operators, which includes the Konishi field.

[ { "created": "Thu, 26 Apr 2007 17:11:24 GMT", "version": "v1" }, { "created": "Wed, 4 Jul 2007 19:07:16 GMT", "version": "v2" } ]

2008-11-26

[ [ "Kotikov", "A. V.", "" ], [ "Lipatov", "L. N.", "" ], [ "Rej", "A.", "" ], [ "Staudacher", "M.", "" ], [ "Velizhanin", "V. N.", "" ] ]

We prove that the validity of the recently proposed dressed, asymptotic Bethe ansatz for the planar AdS/CFT system is indeed limited at weak coupling by operator wrapping effects. This is done by comparing the Bethe ansatz predictions for the four-loop anomalous dimension of finite-spin twist-two operators to BFKL constraints from high-energy scattering amplitudes in N=4 gauge theory. We find disagreement, which means that the ansatz breaks down for length-two operators at four-loop order. Our method supplies precision tools for multiple all-loop tests of the veracity of any yet-to-be constructed set of exact spectral equations. Finally we present a conjecture for the exact four-loop anomalous dimension of the family of twist-two operators, which includes the Konishi field.

12.899362

13.829476

16.651888

11.825966

12.676881

14.693433

12.37738

12.543184

12.902022

17.255281

12.460092

12.675603

14.042302

12.535121

12.852191

12.895238

12.402797

12.544751

12.415592

13.362169

12.093985

hep-th/0311020

Rong-Gen Cai

Rong-Gen Cai and Qi Guo

Gauss-Bonnet Black Holes in dS Spaces

Rextex, 17 pages including 8 eps figures, v2: minor changes, to appear in PRD, v3: references added

Phys.Rev. D69 (2004) 104025

10.1103/PhysRevD.69.104025

USTC-ICTS-03-5

hep-th gr-qc

null

We study the thermodynamic properties associated with black hole horizon and cosmological horizon for the Gauss-Bonnet solution in de Sitter space. When the Gauss-Bonnet coefficient is positive, a locally stable small black hole appears in the case of spacetime dimension $d=5$, the stable small black hole disappears and the Gauss-Bonnet black hole is always unstable quantum mechanically when $d \ge 6$. On the other hand, the cosmological horizon is found always locally stable independent of the spacetime dimension. But the solution is not globally preferred, instead the pure de Sitter space is globally preferred. When the Gauss-Bonnet coefficient is negative, there is a constraint on the value of the coefficient, beyond which the gravity theory is not well defined. As a result, there is not only an upper bound on the size of black hole horizon radius at which the black hole horizon and cosmological horizon coincide with each other, but also a lower bound depending on the Gauss-Bonnet coefficient and spacetime dimension. Within the physical phase space, the black hole horizon is always thermodynamically unstable and the cosmological horizon is always stable, further, as the case of the positive coefficient, the pure de Sitter space is still globally preferred. This result is consistent with the argument that the pure de Sitter space corresponds to an UV fixed point of dual field theory.

[ { "created": "Tue, 4 Nov 2003 08:50:00 GMT", "version": "v1" }, { "created": "Thu, 11 Mar 2004 06:02:06 GMT", "version": "v2" }, { "created": "Fri, 12 Mar 2004 01:24:59 GMT", "version": "v3" } ]

2009-11-10

[ [ "Cai", "Rong-Gen", "" ], [ "Guo", "Qi", "" ] ]

We study the thermodynamic properties associated with black hole horizon and cosmological horizon for the Gauss-Bonnet solution in de Sitter space. When the Gauss-Bonnet coefficient is positive, a locally stable small black hole appears in the case of spacetime dimension $d=5$, the stable small black hole disappears and the Gauss-Bonnet black hole is always unstable quantum mechanically when $d \ge 6$. On the other hand, the cosmological horizon is found always locally stable independent of the spacetime dimension. But the solution is not globally preferred, instead the pure de Sitter space is globally preferred. When the Gauss-Bonnet coefficient is negative, there is a constraint on the value of the coefficient, beyond which the gravity theory is not well defined. As a result, there is not only an upper bound on the size of black hole horizon radius at which the black hole horizon and cosmological horizon coincide with each other, but also a lower bound depending on the Gauss-Bonnet coefficient and spacetime dimension. Within the physical phase space, the black hole horizon is always thermodynamically unstable and the cosmological horizon is always stable, further, as the case of the positive coefficient, the pure de Sitter space is still globally preferred. This result is consistent with the argument that the pure de Sitter space corresponds to an UV fixed point of dual field theory.

5.547565

5.131713

5.469572

5.177703

5.100718

5.304181

5.427906

5.236142

5.334182

5.741829

5.28802

5.347649

5.256822

5.301466

5.349279

5.462802

5.336377

5.424845

5.302399

5.448093

5.306238

0903.0495

Parthasarathi Mitra

P. Mitra

Time-reversal and parity conservation for gravitating quarks

4 pages, to appear in Classical and Quantum Gravity

Class. Quantum Grav. 26 (2009) 075024

10.1088/0264-9381/26/7/075024

null

hep-th gr-qc hep-ph

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

The complex mass term of a quark does not violate time-reversal or parity in gravitational interactions, in spite of an axial anomaly.

[ { "created": "Tue, 3 Mar 2009 11:29:50 GMT", "version": "v1" }, { "created": "Mon, 9 Mar 2009 07:23:02 GMT", "version": "v2" } ]

2009-03-24

[ [ "Mitra", "P.", "" ] ]

The complex mass term of a quark does not violate time-reversal or parity in gravitational interactions, in spite of an axial anomaly.

34.705887

33.975868

27.395964

23.909893

33.530102

34.627972

39.105824

36.298782

26.487751

31.800339

32.647705

28.418808

33.743801

34.673607

33.223076

30.938803

30.666784

32.802696

29.915113

31.782148

31.363672

hep-th/9601073

Steven Corley

S. Corley and T. Jacobson

Hawking Spectrum and High Frequency Dispersion

32 pages, plain latex, 16 figures included using psfig

Phys.Rev. D54 (1996) 1568-1586

10.1103/PhysRevD.54.1568

Utrecht-THU-95/26

hep-th gr-qc

null

We study the spectrum of created particles in two-dimensional black hole geometries for a linear, hermitian scalar field satisfying a Lorentz non-invariant field equation with higher spatial derivative terms that are suppressed by powers of a fundamental momentum scale $k_0$. The preferred frame is the ``free-fall frame" of the black hole. This model is a variation of Unruh's sonic black hole analogy. We find that there are two qualitatively different types of particle production in this model: a thermal Hawking flux generated by ``mode conversion" at the black hole horizon, and a non-thermal spectrum generated via scattering off the background into negative free-fall frequency modes. This second process has nothing to do with black holes and does not occur for the ordinary wave equation because such modes do not propagate outside the horizon with positive Killing frequency. The horizon component of the radiation is astonishingly close to a perfect thermal spectrum: for the smoothest metric studied, with Hawking temperature $T_H\simeq0.0008k_0$, agreement is of order $(T_H/k_0)^3$ at frequency $\omega=T_H$, and agreement to order $T_H/k_0$ persists out to $\omega/T_H\simeq 45$ where the thermal number flux is $O(10^{-20}$). The flux from scattering dominates at large $\omega$ and becomes many orders of magnitude larger than the horizon component for metrics with a ``kink", i.e. a region of high curvature localized on a static worldline outside the horizon. This non-thermal flux amounts to roughly 10\% of the total luminosity for the kinkier metrics considered. The flux exhibits oscillations as a function of frequency which can be explained by interference between the various contributions to the flux.

[ { "created": "Mon, 15 Jan 1996 11:29:50 GMT", "version": "v1" } ]

2009-10-30

[ [ "Corley", "S.", "" ], [ "Jacobson", "T.", "" ] ]

We study the spectrum of created particles in two-dimensional black hole geometries for a linear, hermitian scalar field satisfying a Lorentz non-invariant field equation with higher spatial derivative terms that are suppressed by powers of a fundamental momentum scale $k_0$. The preferred frame is the ``free-fall frame" of the black hole. This model is a variation of Unruh's sonic black hole analogy. We find that there are two qualitatively different types of particle production in this model: a thermal Hawking flux generated by ``mode conversion" at the black hole horizon, and a non-thermal spectrum generated via scattering off the background into negative free-fall frequency modes. This second process has nothing to do with black holes and does not occur for the ordinary wave equation because such modes do not propagate outside the horizon with positive Killing frequency. The horizon component of the radiation is astonishingly close to a perfect thermal spectrum: for the smoothest metric studied, with Hawking temperature $T_H\simeq0.0008k_0$, agreement is of order $(T_H/k_0)^3$ at frequency $\omega=T_H$, and agreement to order $T_H/k_0$ persists out to $\omega/T_H\simeq 45$ where the thermal number flux is $O(10^{-20}$). The flux from scattering dominates at large $\omega$ and becomes many orders of magnitude larger than the horizon component for metrics with a ``kink", i.e. a region of high curvature localized on a static worldline outside the horizon. This non-thermal flux amounts to roughly 10\% of the total luminosity for the kinkier metrics considered. The flux exhibits oscillations as a function of frequency which can be explained by interference between the various contributions to the flux.

9.737087

11.638778

10.134917

10.456414

11.669306

11.639926

11.958718

11.173409

10.296731

11.248861

10.842968

10.076632

9.82654

9.745912

9.791596

9.808468

9.867746

9.94184

9.870698

10.006925

9.796259

hep-th/0111009

Sergey Paston

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

On the correspondence between Light-Front Hamiltonian approach and Lorentz-covariant formulation for Quantum Gauge Theory

LaTeX, 5 pages. Proceedings of "Light-cone physics: particles and strings, TRENTO 2001"

Nucl.Phys.Proc.Suppl. 108 (2002) 189-193

10.1016/S0920-5632(02)01327-0

SPbU-IP-01-8

hep-th

null

The problem of the restoring of the equivalence between Light-Front (LF) Hamiltonian and conventional Lorentz-covariant formulations of gauge theory is solved for QED(1+1) and (perturbatively to all orders) for QCD(3+1). For QED(1+1) the LF Hamiltonian is constructed which reproduces the results of Lorentz-covariant theory. This is achieved by bosonization of the model and by analysing the resulting bosonic theory to all orders in the fermion mass. For QCD(3+1) we describe nonstandard regularization that allows to restore mentioned equivalence with finite number of counterterms in LF Hamiltonian.

[ { "created": "Thu, 1 Nov 2001 11:23:06 GMT", "version": "v1" } ]

2009-11-07

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

The problem of the restoring of the equivalence between Light-Front (LF) Hamiltonian and conventional Lorentz-covariant formulations of gauge theory is solved for QED(1+1) and (perturbatively to all orders) for QCD(3+1). For QED(1+1) the LF Hamiltonian is constructed which reproduces the results of Lorentz-covariant theory. This is achieved by bosonization of the model and by analysing the resulting bosonic theory to all orders in the fermion mass. For QCD(3+1) we describe nonstandard regularization that allows to restore mentioned equivalence with finite number of counterterms in LF Hamiltonian.

8.026647

7.500092

7.382804

7.524343

7.741208

6.945444

7.182039

7.681225

7.017259

7.3849

7.123341

7.397023

7.620893

7.16433

7.238568

7.154432

7.353408

7.30693

7.276545

7.093883

7.288872

1302.6643

Jia-ju Zhang

Bin Chen, Jia-ju Zhang, Jian-dong Zhang and De-liang Zhong

Aspects of Warped AdS$_3$/CFT$_2$ Correspondence

22 pages, references added, published version, link of Mathematica code changed to https://s.yunio.com/Mtus0z or http://pan.baidu.com/s/1mToFv

JHEP 1304 (2013) 055

10.1007/JHEP04(2013)055

null

hep-th gr-qc

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

In this paper we apply the thermodynamics method to investigate the holographic pictures for the BTZ black hole, the spacelike and the null warped black holes in three-dimensional topologically massive gravity (TMG) and new massive gravity (NMG). Even though there are higher derivative terms in these theories, the thermodynamics method is still effective. It gives consistent results with the ones obtained by using asymptotical symmetry group (ASG) analysis. In doing the ASG analysis we develop a brute-force realization of the Barnich-Brandt-Compere formalism with Mathematica code, which also allows us to calculate the masses and the angular momenta of the black holes. In particular, we propose the warped AdS$_3$/CFT$_2$ correspondence in the new massive gravity, which states that quantum gravity in the warped spacetime could holographically dual to a two-dimensional CFT with $c_R=c_L=\f{24}{Gm\b^2\sr{2(21-4\b^2)}}$.

[ { "created": "Wed, 27 Feb 2013 02:01:58 GMT", "version": "v1" }, { "created": "Thu, 28 Feb 2013 15:57:55 GMT", "version": "v2" }, { "created": "Sun, 28 Apr 2013 14:57:43 GMT", "version": "v3" }, { "created": "Sat, 28 Sep 2013 07:41:19 GMT", "version": "v4" } ]

2015-03-13

[ [ "Chen", "Bin", "" ], [ "Zhang", "Jia-ju", "" ], [ "Zhang", "Jian-dong", "" ], [ "Zhong", "De-liang", "" ] ]

In this paper we apply the thermodynamics method to investigate the holographic pictures for the BTZ black hole, the spacelike and the null warped black holes in three-dimensional topologically massive gravity (TMG) and new massive gravity (NMG). Even though there are higher derivative terms in these theories, the thermodynamics method is still effective. It gives consistent results with the ones obtained by using asymptotical symmetry group (ASG) analysis. In doing the ASG analysis we develop a brute-force realization of the Barnich-Brandt-Compere formalism with Mathematica code, which also allows us to calculate the masses and the angular momenta of the black holes. In particular, we propose the warped AdS$_3$/CFT$_2$ correspondence in the new massive gravity, which states that quantum gravity in the warped spacetime could holographically dual to a two-dimensional CFT with $c_R=c_L=\f{24}{Gm\b^2\sr{2(21-4\b^2)}}$.

8.693051

8.861274

10.144634

8.918015

8.654037

8.143408

9.603486

8.633135

8.509473

11.161298

8.583166

8.343956

8.611213

8.584166

8.381544

8.454819

8.462078

8.375743

8.433418

9.012659

8.217312

2304.10434

Georgios Linardopoulos

George Georgiou, Georgios Linardopoulos, Dimitrios Zoakos

Holographic correlators of semiclassical states in defect CFTs

10 pages, 1 table, 3 figures; typos corrected, references added. Matches published version

Phys. Rev. D108 (2023) 046016

10.1103/PhysRevD.108.046016

null

hep-th

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

We set up the computation of correlation functions for operators that are dual to semiclassical string states in strongly coupled defect conformal field theories (dCFTs). In the dCFT that is dual to the D3-D5 probe-brane system, we calculate the correlation function of two heavy operators perturbatively, in powers of the conformal ratio. We find that the leading term agrees with the prediction of the operator product expansion (OPE). In the case of two heavy BMN operators, we find agreement in subleading orders as well.

[ { "created": "Thu, 20 Apr 2023 16:26:34 GMT", "version": "v1" }, { "created": "Fri, 4 Aug 2023 11:21:37 GMT", "version": "v2" } ]

2023-08-29

[ [ "Georgiou", "George", "" ], [ "Linardopoulos", "Georgios", "" ], [ "Zoakos", "Dimitrios", "" ] ]

We set up the computation of correlation functions for operators that are dual to semiclassical string states in strongly coupled defect conformal field theories (dCFTs). In the dCFT that is dual to the D3-D5 probe-brane system, we calculate the correlation function of two heavy operators perturbatively, in powers of the conformal ratio. We find that the leading term agrees with the prediction of the operator product expansion (OPE). In the case of two heavy BMN operators, we find agreement in subleading orders as well.

7.683584

5.727873

7.880532

5.948685

5.837958

5.81686

6.041777

5.758861

6.057642

7.984941

5.750618

6.20262

6.865803

6.276215

6.416006

6.203863

6.206944

6.101381

6.063587

6.744456

6.130701

hep-th/0410026

Claudio Dappiaggi

BMS field theory and holography in asymptotically flat space-times

36 pages, updated introduction, conclusions and references; added a discussion on Schwartzschild background in section 6

JHEP0411:011,2004

10.1088/1126-6708/2004/11/011

FNT/T 2004/17

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

null

We explore the holographic principle in the context of asymptotically flat space-times by means of the asymptotic symmetry group of this class of space-times, the so called Bondi-Metzner-Sachs (BMS) group. In particular we construct a (free) field theory living at future (or past) null infinity invariant under the action of the BMS group. Eventually we analyse the quantum aspects of this theory and we explore how to relate the correlation functions in the boundary and in the bulk.

[ { "created": "Mon, 4 Oct 2004 09:42:13 GMT", "version": "v1" }, { "created": "Thu, 25 Nov 2004 09:54:32 GMT", "version": "v2" } ]

2008-11-26

[ [ "Dappiaggi", "Claudio", "" ] ]

We explore the holographic principle in the context of asymptotically flat space-times by means of the asymptotic symmetry group of this class of space-times, the so called Bondi-Metzner-Sachs (BMS) group. In particular we construct a (free) field theory living at future (or past) null infinity invariant under the action of the BMS group. Eventually we analyse the quantum aspects of this theory and we explore how to relate the correlation functions in the boundary and in the bulk.

6.310662

5.534806

6.080559

5.350737

5.409609

5.852382

5.555061

5.753958

5.390918

6.128755

5.469192

5.910135

6.202502

5.895507

5.985382

5.831707

5.834282

5.746467

5.875494

6.193276

5.832746

1811.09253

Keita Nii

3d Self-Dualities

34 pages

null

10.1016/j.nuclphysb.2019.03.017

null

hep-th

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

We investigate self-dualities in three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories. The electric and magnetic theories share the same gauge group. The examples include $SU(2N)$, $SO(7)$ and $SO(8)$ with various matter contents. The duality exchanges the role of the baryon and Coulomb branch operators in some examples. In other examples, the Coulomb branch operator becomes an elementary field on the dual side. These self-dualities in turn teach us a correct quantum structure of the Coulomb moduli space of vacua. Some dualities show symmetry enhancement.

[ { "created": "Thu, 22 Nov 2018 17:44:14 GMT", "version": "v1" } ]

2019-05-01

[ [ "Nii", "Keita", "" ] ]

We investigate self-dualities in three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories. The electric and magnetic theories share the same gauge group. The examples include $SU(2N)$, $SO(7)$ and $SO(8)$ with various matter contents. The duality exchanges the role of the baryon and Coulomb branch operators in some examples. In other examples, the Coulomb branch operator becomes an elementary field on the dual side. These self-dualities in turn teach us a correct quantum structure of the Coulomb moduli space of vacua. Some dualities show symmetry enhancement.

8.025502

8.036027

10.208525

7.96224

8.110801

8.774893

8.21079

8.396344

7.896142

9.069529

7.818236

8.408535

8.481524

8.100986

8.409637

8.255695

8.275449

8.48925

8.102084

8.416479

7.967102

hep-th/0404032

Damiano Anselmi

A note on the dimensional regularization of the Standard Model coupled with Quantum Gravity

8 pages; v2: comment on first order formalism, PLB

Phys.Lett. B596 (2004) 90-95

10.1016/j.physletb.2004.06.089

IFUP-TH/04-07

hep-th

null

In flat space, gamma5 and the epsilon tensor break the dimensionally continued Lorentz symmetry, but propagators have fully Lorentz invariant denominators. When the Standard Model is coupled with quantum gravity gamma5 breaks the continued local Lorentz symmetry. I show how to deform the Einstein lagrangian and gauge-fix the residual local Lorentz symmetry so that the propagators of the graviton, the ghosts and the BRST auxiliary fields have fully Lorentz invariant denominators. This makes the calculation of Feynman diagrams more efficient.

[ { "created": "Sun, 4 Apr 2004 19:35:51 GMT", "version": "v1" }, { "created": "Tue, 6 Jul 2004 20:18:58 GMT", "version": "v2" } ]

2009-11-10

[ [ "Anselmi", "Damiano", "" ] ]

In flat space, gamma5 and the epsilon tensor break the dimensionally continued Lorentz symmetry, but propagators have fully Lorentz invariant denominators. When the Standard Model is coupled with quantum gravity gamma5 breaks the continued local Lorentz symmetry. I show how to deform the Einstein lagrangian and gauge-fix the residual local Lorentz symmetry so that the propagators of the graviton, the ghosts and the BRST auxiliary fields have fully Lorentz invariant denominators. This makes the calculation of Feynman diagrams more efficient.

8.649974

8.812048

9.787366

8.579134

8.912569

8.709192

8.628359

8.882358

8.722679

10.225686

8.246748

8.854131

8.870967

8.770412

8.706429

8.463608

8.240229

8.204632

8.25112

8.757251

8.322975

2010.08839

Gustav Uhre Jakobsen

General Relativity from Quantum Field Theory

88 pages, 7 figures; MSc-thesis, parts of it has been presented in arXiv:2006.01734

null

hep-th gr-qc

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

The quantum field theoretic description of general relativity is a modern approach to gravity where gravitational force is carried by spin-2 gravitons. In the classical limit of this theory, general relativity as described by the Einstein field equations is obtained. This limit, where classical general relativity is derived from quantum field theory is the topic of this thesis. The Schwarzschild-Tangherlini metric, which describes the gravitational field of an inertial point particle in arbitrary space-time dimensions, $D$, is analyzed. The metric is related to the three-point vertex function of a massive scalar interacting with a graviton to all orders in $G_N$, and the one-loop contribution to this amplitude is computed from which the $G_N^2$ contribution to the metric is derived. To understand the gauge-dependence of the metric, covariant gauge is used which introduces the parameter, $\xi$, and the gauge-fixing function $G_\sigma$. In the classical limit, the gauge-fixing function turns out to be the coordinate condition, $G_\sigma=0$. As gauge-fixing function a novel family of gauges, which depends on an arbitrary parameter $\alpha$ and includes both harmonic and de Donder gauge, is used. Feynman rules for the graviton field are derived and important results are the graviton propagator in covariant gauge and a general formula for the n-graviton vertex in terms of the Einstein tensor. The Feynman rules are used both in deriving the Schwarzschild-Tangherlini metric from amplitudes and in the computation of the one-loop correction to the metric. The one-loop correction to the metric is independent of the covariant gauge parameter, $\xi$, and satisfies the gauge condition $G_\sigma=0$ where $G_\sigma$ is the family of gauges depending on $\alpha$. In space-time $D=5$ a logarithm appears in position space and this phenomena is analyzed in terms of redundant gauge freedom.

[ { "created": "Sat, 17 Oct 2020 18:19:42 GMT", "version": "v1" } ]

2020-10-20

[ [ "Jakobsen", "Gustav Uhre", "" ] ]

The quantum field theoretic description of general relativity is a modern approach to gravity where gravitational force is carried by spin-2 gravitons. In the classical limit of this theory, general relativity as described by the Einstein field equations is obtained. This limit, where classical general relativity is derived from quantum field theory is the topic of this thesis. The Schwarzschild-Tangherlini metric, which describes the gravitational field of an inertial point particle in arbitrary space-time dimensions, $D$, is analyzed. The metric is related to the three-point vertex function of a massive scalar interacting with a graviton to all orders in $G_N$, and the one-loop contribution to this amplitude is computed from which the $G_N^2$ contribution to the metric is derived. To understand the gauge-dependence of the metric, covariant gauge is used which introduces the parameter, $\xi$, and the gauge-fixing function $G_\sigma$. In the classical limit, the gauge-fixing function turns out to be the coordinate condition, $G_\sigma=0$. As gauge-fixing function a novel family of gauges, which depends on an arbitrary parameter $\alpha$ and includes both harmonic and de Donder gauge, is used. Feynman rules for the graviton field are derived and important results are the graviton propagator in covariant gauge and a general formula for the n-graviton vertex in terms of the Einstein tensor. The Feynman rules are used both in deriving the Schwarzschild-Tangherlini metric from amplitudes and in the computation of the one-loop correction to the metric. The one-loop correction to the metric is independent of the covariant gauge parameter, $\xi$, and satisfies the gauge condition $G_\sigma=0$ where $G_\sigma$ is the family of gauges depending on $\alpha$. In space-time $D=5$ a logarithm appears in position space and this phenomena is analyzed in terms of redundant gauge freedom.

6.585258

6.967107

6.680665

6.360202

6.928034

6.734035

6.938101

6.493978

6.529658

6.878199

6.580827

6.525638

6.532383

6.500434

6.451086

6.618865

6.727118

6.704665

6.541227

6.594799

6.535599

2301.13574

Peng Liu

Zhe Yang, Fang-Jing Cheng, Chao Niu, Cheng-Yong Zhang, and Peng Liu

The mixed-state entanglement in holographic p-wave superconductor model

24 pages, 13 figures; several refs added and the text improved

null

10.1007/JHEP04(2023)110

null

hep-th gr-qc

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

In this paper, we investigate the mixed-state entanglement in a model of p-wave superconductivity phase transition using holographic methods. We calculate several entanglement measures, including holographic entanglement entropy (HEE), mutual information (MI), and entanglement wedge cross-section (EWCS). Our results show that these measures display critical behavior at the phase transition points, with the EWCS exhibiting opposite temperature behavior compared to the HEE. Additionally, we find that the critical exponents of all entanglement measures are twice those of the condensate. Moreover, we find that the EWCS is a more sensitive indicator of the critical behavior of phase transitions than the HEE. Furthermore, we uncover a universal inequality in the growth rates of EWCS and MI near critical points in thermal phase transitions, such as p-wave and s-wave superconductivity, suggesting that MI captures more information than EWCS when a phase transition first occurs.

[ { "created": "Tue, 31 Jan 2023 11:59:38 GMT", "version": "v1" }, { "created": "Wed, 8 Feb 2023 13:27:39 GMT", "version": "v2" } ]

2023-05-10

[ [ "Yang", "Zhe", "" ], [ "Cheng", "Fang-Jing", "" ], [ "Niu", "Chao", "" ], [ "Zhang", "Cheng-Yong", "" ], [ "Liu", "Peng", "" ] ]

In this paper, we investigate the mixed-state entanglement in a model of p-wave superconductivity phase transition using holographic methods. We calculate several entanglement measures, including holographic entanglement entropy (HEE), mutual information (MI), and entanglement wedge cross-section (EWCS). Our results show that these measures display critical behavior at the phase transition points, with the EWCS exhibiting opposite temperature behavior compared to the HEE. Additionally, we find that the critical exponents of all entanglement measures are twice those of the condensate. Moreover, we find that the EWCS is a more sensitive indicator of the critical behavior of phase transitions than the HEE. Furthermore, we uncover a universal inequality in the growth rates of EWCS and MI near critical points in thermal phase transitions, such as p-wave and s-wave superconductivity, suggesting that MI captures more information than EWCS when a phase transition first occurs.

6.559001

5.610527

6.814892

5.865981

5.675116

5.716817

5.997608

5.968715

5.700383

7.559759

5.859822

5.838784

6.198791

6.014726

5.96243

5.856256

6.043107

5.859202

5.88624

6.165886

5.867854

hep-th/9907095

Dominic Clancy

James E. Lidsey

The Embedding of Superstring Backgrounds in Einstein Gravity

14 pages, Latex source

Phys.Lett. B417 (1998) 33

10.1016/S0370-2693(97)01391-9

null

hep-th gr-qc

null

A theorem of differential geometry is employed to locally embed a wide class of superstring backgrounds that admit a covariantly constant null Killing vector field in eleven-dimensional, Ricci-flat spaces. Included in this class are exact type IIB superstring backgrounds with non-trivial Ramond-Ramond fields and a class of supersymmetric string waves. The embedding spaces represent exact solutions to eleven-dimensional, vacuum Einstein gravity. A solution of eleven-dimensional supergravity is also embedded in a twelve--dimensional, Ricci-flat space.

[ { "created": "Tue, 13 Jul 1999 13:44:54 GMT", "version": "v1" } ]

2009-10-31

[ [ "Lidsey", "James E.", "" ] ]

A theorem of differential geometry is employed to locally embed a wide class of superstring backgrounds that admit a covariantly constant null Killing vector field in eleven-dimensional, Ricci-flat spaces. Included in this class are exact type IIB superstring backgrounds with non-trivial Ramond-Ramond fields and a class of supersymmetric string waves. The embedding spaces represent exact solutions to eleven-dimensional, vacuum Einstein gravity. A solution of eleven-dimensional supergravity is also embedded in a twelve--dimensional, Ricci-flat space.

10.404163

8.690682

8.798393

8.461415

8.921085

7.501789

8.553303

7.924753

8.485542

9.278116

9.700613

9.232835

8.957608

9.341402

8.88502

9.258763

9.136566

9.111923

9.732771

9.235462

9.443663

1506.07614

Michael Cooke

Michael Cooke, Nadav Drukker, Diego Trancanelli

A profusion of $1/2$ BPS Wilson loops in $\mathcal{N}=4$ Chern-Simons-matter theories

40 pages

JHEP 1510 (2015) 140

10.1007/JHEP10(2015)140

null

hep-th

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

We initiate the study of $1/2$ BPS Wilson loops in $\mathcal{N}=4$ Chern-Simons-matter theories in three dimensions. We consider a circular or linear quiver with Chern-Simons levels $k$, $-k$ and $0$, and focus on loops preserving one of the two $SU(2)$ subgroups of the $R$-symmetry. In the cases with no vanishing Chern-Simons levels, we find a pair of Wilson loops for each pair of adjacent nodes on the quiver connected by a hypermultiplet (nodes connected by twisted hypermultiplets have Wilson loops preserving another set of supercharges). We expect this classical pairwise degeneracy to be lifted by quantum corrections. In the case with nodes with vanishing Chern-Simons terms connected by twisted hypermultiplets, we find that the usual $1/4$ BPS Wilson loops are automatically enlarged to $1/2$ BPS, as happens also in 3-dimensional Yang-Mills theory. When the nodes with vanishing Chern-Simons levels are connected by untwisted hypermultiplets, we do not find any Wilson loops coupling to those nodes which are classically invariant. Rather, we find several loops whose supersymmetry variation, while non zero, vanishes in any correlation function, so is weakly zero. We expect only one linear combination of those Wilson loops to remain BPS when quantum corrections are included. We analyze the M-theory duals of those Wilson loops and comment on their degeneracy. We also show that these Wilson loops are cohomologically equivalent to certain $1/4$ BPS Wilson loops whose expectation value can be evaluated by the appropriate localized matrix model.

[ { "created": "Thu, 25 Jun 2015 05:01:41 GMT", "version": "v1" } ]

2016-11-17

[ [ "Cooke", "Michael", "" ], [ "Drukker", "Nadav", "" ], [ "Trancanelli", "Diego", "" ] ]

We initiate the study of $1/2$ BPS Wilson loops in $\mathcal{N}=4$ Chern-Simons-matter theories in three dimensions. We consider a circular or linear quiver with Chern-Simons levels $k$, $-k$ and $0$, and focus on loops preserving one of the two $SU(2)$ subgroups of the $R$-symmetry. In the cases with no vanishing Chern-Simons levels, we find a pair of Wilson loops for each pair of adjacent nodes on the quiver connected by a hypermultiplet (nodes connected by twisted hypermultiplets have Wilson loops preserving another set of supercharges). We expect this classical pairwise degeneracy to be lifted by quantum corrections. In the case with nodes with vanishing Chern-Simons terms connected by twisted hypermultiplets, we find that the usual $1/4$ BPS Wilson loops are automatically enlarged to $1/2$ BPS, as happens also in 3-dimensional Yang-Mills theory. When the nodes with vanishing Chern-Simons levels are connected by untwisted hypermultiplets, we do not find any Wilson loops coupling to those nodes which are classically invariant. Rather, we find several loops whose supersymmetry variation, while non zero, vanishes in any correlation function, so is weakly zero. We expect only one linear combination of those Wilson loops to remain BPS when quantum corrections are included. We analyze the M-theory duals of those Wilson loops and comment on their degeneracy. We also show that these Wilson loops are cohomologically equivalent to certain $1/4$ BPS Wilson loops whose expectation value can be evaluated by the appropriate localized matrix model.

5.463219

6.092765

6.635587

5.822784

6.185983

6.330954

6.184871

5.917297

5.863686

7.183997

5.828098

5.605481

5.790998

5.541039

5.636521

5.715874

5.581153

5.633688

5.579218

5.898088

5.538924

1711.06180

Severin L\"ust

Severin Lust, Philipp Ruter, Jan Louis

Maximally Supersymmetric AdS Solutions and their Moduli Spaces

69 pages; v2: minor changes, references added, to appear in JHEP

null

10.1007/JHEP03(2018)019

ZMP-HH/17-27, CPHT-RR054.102017, EMPG-17-20

hep-th

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

We study maximally supersymmetric AdS$_D$ solutions of gauged supergravities in dimensions $D \geq 4$. We show that such solutions can only exist if the gauge group after spontaneous symmetry breaking is a product of two reductive groups $H_R \times H_\mathrm{mat}$, where $H_R$ is uniquely determined by the dimension D and the number of supersymmetries N while $H_\mathrm{mat}$ is unconstrained. This resembles the structure of the global symmetry groups of the holographically dual SCFTs, where $H_R$ is interpreted as the R-symmetry and $H_\mathrm{mat}$ as the flavor symmetry. Moreover, we discuss possible supersymmetry preserving continuous deformations, which correspond to the conformal manifolds of the dual SCFTs. Under the assumption that the scalar manifold of the supergravity is a symmetric space we derive general group theoretical conditions on these moduli. Using these results we determine the AdS solutions of all gauged supergravities with more than 16 real supercharges. We find that almost all of them do not have supersymmetry preserving deformations with the only exception being the maximal supergravity in five dimensions with a moduli space given by $SU(1,1)/U(1)$. Furthermore, we determine the AdS solutions of four-dimensional N=3 supergravities and show that they similarly do not admit supersymmetric moduli.

[ { "created": "Thu, 16 Nov 2017 16:36:16 GMT", "version": "v1" }, { "created": "Wed, 14 Feb 2018 10:55:50 GMT", "version": "v2" } ]

2018-04-04

[ [ "Lust", "Severin", "" ], [ "Ruter", "Philipp", "" ], [ "Louis", "Jan", "" ] ]

We study maximally supersymmetric AdS$_D$ solutions of gauged supergravities in dimensions $D \geq 4$. We show that such solutions can only exist if the gauge group after spontaneous symmetry breaking is a product of two reductive groups $H_R \times H_\mathrm{mat}$, where $H_R$ is uniquely determined by the dimension D and the number of supersymmetries N while $H_\mathrm{mat}$ is unconstrained. This resembles the structure of the global symmetry groups of the holographically dual SCFTs, where $H_R$ is interpreted as the R-symmetry and $H_\mathrm{mat}$ as the flavor symmetry. Moreover, we discuss possible supersymmetry preserving continuous deformations, which correspond to the conformal manifolds of the dual SCFTs. Under the assumption that the scalar manifold of the supergravity is a symmetric space we derive general group theoretical conditions on these moduli. Using these results we determine the AdS solutions of all gauged supergravities with more than 16 real supercharges. We find that almost all of them do not have supersymmetry preserving deformations with the only exception being the maximal supergravity in five dimensions with a moduli space given by $SU(1,1)/U(1)$. Furthermore, we determine the AdS solutions of four-dimensional N=3 supergravities and show that they similarly do not admit supersymmetric moduli.

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1709.01291

Mohammad R. Garousi

Hamid Razaghian, Mohammad R. Garousi

T-duality invariant effective actions at orders $ \alpha', \alpha'^2$

24 pages, latex file, no figure; v2: major modifications; v3: the version appears in JHEP

null

10.1007/JHEP02(2018)056

null

hep-th

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

We use compatibility of the $D$-dimensional effective actions for diagonal metric and for dilaton with the T-duality when theory is compactified on a circle, to find the the $D$-dimensional couplings of curvatures and dilaton as well as the higher derivative corrections to the $(D-1)$-dimensional Buscher rules at orders $ \alpha' $ and $\alpha'^2$. We observe that the T-duality constraint on the effective actions fixes the covariant effective actions at each order of $\alpha'$ up to field redefinitions and up to an overall factor. Inspired by these results, we speculate that the $D$-dimensional effective actions at any order of $\alpha'$ must be consistent with the standard Buscher rules provided that one uses covariant field redefinitions in the corresponding reduced $(D-1)$-dimensional effective actions. This constraint may be used to find effective actions at all higher orders of $\alpha'$.

[ { "created": "Tue, 5 Sep 2017 09:02:17 GMT", "version": "v1" }, { "created": "Tue, 21 Nov 2017 11:15:29 GMT", "version": "v2" }, { "created": "Sun, 21 Jan 2018 15:03:48 GMT", "version": "v3" } ]

2018-04-04

[ [ "Razaghian", "Hamid", "" ], [ "Garousi", "Mohammad R.", "" ] ]

We use compatibility of the $D$-dimensional effective actions for diagonal metric and for dilaton with the T-duality when theory is compactified on a circle, to find the the $D$-dimensional couplings of curvatures and dilaton as well as the higher derivative corrections to the $(D-1)$-dimensional Buscher rules at orders $ \alpha' $ and $\alpha'^2$. We observe that the T-duality constraint on the effective actions fixes the covariant effective actions at each order of $\alpha'$ up to field redefinitions and up to an overall factor. Inspired by these results, we speculate that the $D$-dimensional effective actions at any order of $\alpha'$ must be consistent with the standard Buscher rules provided that one uses covariant field redefinitions in the corresponding reduced $(D-1)$-dimensional effective actions. This constraint may be used to find effective actions at all higher orders of $\alpha'$.

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