LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/0606047

Gottfried Curio

Gottfried Curio, Vera Spillner

On the modified KKLT procedure: a case study for the P_{11169}[18] model

29 pages

Int.J.Mod.Phys.A22:3463-3492,2007

10.1142/S0217751X07037019

null

hep-th

null

We probe the existence of supersymmetric vacua of the type IIB orientifold of the elliptic Calabi-Yau space P_{11169}[18] where generically two complex structure moduli z_i, the dilaton tau and the two K\"ahler moduli T_i are stabilized by fluxes and gaugino condensates. The usual KKLT procedure, which integrates out the complex structure moduli and the dilaton, actually has to be modified, such that one keeps the dependence on tau. We derive explicitely the resulting effective superpotential W_{eff}(tau) for the dilaton for various flux combinations. As this is actually a non-holomorphic quantity one must properly work with the G-function. The remaining SUSY equations for tau and the T_i can be resolved explicitely.

[ { "created": "Tue, 6 Jun 2006 15:55:59 GMT", "version": "v1" } ]

2008-11-26

[ [ "Curio", "Gottfried", "" ], [ "Spillner", "Vera", "" ] ]

We probe the existence of supersymmetric vacua of the type IIB orientifold of the elliptic Calabi-Yau space P_{11169}[18] where generically two complex structure moduli z_i, the dilaton tau and the two K\"ahler moduli T_i are stabilized by fluxes and gaugino condensates. The usual KKLT procedure, which integrates out the complex structure moduli and the dilaton, actually has to be modified, such that one keeps the dependence on tau. We derive explicitely the resulting effective superpotential W_{eff}(tau) for the dilaton for various flux combinations. As this is actually a non-holomorphic quantity one must properly work with the G-function. The remaining SUSY equations for tau and the T_i can be resolved explicitely.

11.816091

11.922986

13.308034

11.569098

11.196136

12.863834

11.534902

12.822661

11.550571

15.081774

11.559571

11.807828

12.061234

11.355233

11.674779

11.556141

11.708482

11.157085

11.625288

12.676406

11.418358

2109.06289

Roldao da Rocha

Pedro Meert, Roldao da Rocha

Gravitational decoupling, hairy black holes and conformal anomalies

8 pages, 3 figures

Eur. Phys. J. C 82 (2022) 175

10.1140/epjc/s10052-022-10121-6

null

hep-th gr-qc

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

Hairy black holes in the gravitational decoupling setup are studied from the perspective of conformal anomalies. Fluctuations of decoupled sources can be computed by measuring the way the trace anomaly-to-holographic Weyl anomaly ratio differs from unit. Therefore the gravitational decoupling parameter governing three hairy black hole metrics is then bounded to a range wherein one can reliably emulate AdS/CFT with gravitational decoupled solutions, in the tensor vacuum regime.

[ { "created": "Mon, 13 Sep 2021 19:58:44 GMT", "version": "v1" }, { "created": "Thu, 24 Feb 2022 18:39:03 GMT", "version": "v2" } ]

2022-02-25

[ [ "Meert", "Pedro", "" ], [ "da Rocha", "Roldao", "" ] ]

Hairy black holes in the gravitational decoupling setup are studied from the perspective of conformal anomalies. Fluctuations of decoupled sources can be computed by measuring the way the trace anomaly-to-holographic Weyl anomaly ratio differs from unit. Therefore the gravitational decoupling parameter governing three hairy black hole metrics is then bounded to a range wherein one can reliably emulate AdS/CFT with gravitational decoupled solutions, in the tensor vacuum regime.

33.936581

38.299568

34.461201

27.372669

28.971027

28.914948

33.975723

28.616219

35.97216

32.851551

31.288092

31.724051

30.811394

29.121067

28.766964

29.034637

31.863239

29.626106

32.670906

30.122532

30.323418

hep-th/0003023

Laura Andrianopoli

L. Andrianopoli, M. Derix, G.W. Gibbons, C. Herdeiro, A. Santambrogio, A. Van Proeyen

Embedding Branes in Flat Two-time Spaces

LaTex, 8 pages. Contribution to the TMR Conference on Quantum aspects of gauge theories, supersymmetry and unification. Paris, 1-7 September 1999

null

hep-th

null

We show how non-near horizon, non-dilatonic $p$-brane theories can be obtained from two embedding constraints in a flat higher dimensional space with 2 time directions. In particular this includes the construction of D3 branes from a flat 12-dimensional action, and M2 and M5 branes from 13 dimensions. The worldvolume actions are found in terms of fields defined in the embedding space, with the constraints enforced by Lagrange multipliers.

[ { "created": "Fri, 3 Mar 2000 11:37:42 GMT", "version": "v1" } ]

2007-05-23

[ [ "Andrianopoli", "L.", "" ], [ "Derix", "M.", "" ], [ "Gibbons", "G. W.", "" ], [ "Herdeiro", "C.", "" ], [ "Santambrogio", "A.", "" ], [ "Van Proeyen", "A.", "" ] ]

We show how non-near horizon, non-dilatonic $p$-brane theories can be obtained from two embedding constraints in a flat higher dimensional space with 2 time directions. In particular this includes the construction of D3 branes from a flat 12-dimensional action, and M2 and M5 branes from 13 dimensions. The worldvolume actions are found in terms of fields defined in the embedding space, with the constraints enforced by Lagrange multipliers.

12.508632

8.635463

12.694828

10.003222

12.212747

9.060255

8.702173

9.759853

9.424478

11.371503

10.025816

10.782693

11.744969

10.944121

11.490102

10.644823

11.013006

10.776494

10.510962

11.502559

10.508882

1308.5991

Sara Heshmatian

J. Sadeghi and S. Heshmatian

Jet Quenching Parameter with Hyperscaling Violation

22 pages, 9 figures

null

10.1140/epjc/s10052-014-3032-y

null

hep-th

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

In this paper we study the behavior of jet quenching parameter in the background metric with hyperscaling violation at finite temperature.The background metric is covariant under a generalized Lifshitz scaling symmetry with the dynamical exponent z and hyperscaling exponent $\theta$. We evaluate the jet quenching parameter for certain range of these parameters consistent with the Gubser bound conditions in terms of T, z and $\theta$. We compare our results with those from conformal case and experimental data. Then we add a constant electric field to this background and find its effect on the jet quenching parameter.

[ { "created": "Tue, 27 Aug 2013 20:53:21 GMT", "version": "v1" } ]

2015-06-17

[ [ "Sadeghi", "J.", "" ], [ "Heshmatian", "S.", "" ] ]

In this paper we study the behavior of jet quenching parameter in the background metric with hyperscaling violation at finite temperature.The background metric is covariant under a generalized Lifshitz scaling symmetry with the dynamical exponent z and hyperscaling exponent $\theta$. We evaluate the jet quenching parameter for certain range of these parameters consistent with the Gubser bound conditions in terms of T, z and $\theta$. We compare our results with those from conformal case and experimental data. Then we add a constant electric field to this background and find its effect on the jet quenching parameter.

9.045288

8.055367

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7.193784

7.36538

7.773119

8.186798

7.399426

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9.09387

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7.990992

7.72843

7.82778

8.044364

7.806438

7.613718

7.744337

8.041054

7.659054

1910.10864

Xinyu Zhang

Saebyeok Jeong and Xinyu Zhang

A note on chiral trace relations from qq-characters

16 pages; v2: published version

null

hep-th

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

We study chiral operators in four-dimensional N=2 supersymmetric gauge theories. We provide a general procedure to derive the exact relations among the vacuum expectation values of chiral operators in the Omega-background using the non-perturbative Dyson-Schwinger equations of qq-characters. We demonstrate our procedure using several examples. For pure SU(N) gauge theory and SU(N) gauge theory with 2N fundamental hypermultiplets, we verify the relations conjectured previously in the literature. We also briefly discuss the relations in SU(N) linear superconformal quiver gauge theories.

[ { "created": "Thu, 24 Oct 2019 00:59:23 GMT", "version": "v1" }, { "created": "Sun, 5 Apr 2020 03:49:37 GMT", "version": "v2" } ]

2020-04-07

[ [ "Jeong", "Saebyeok", "" ], [ "Zhang", "Xinyu", "" ] ]

We study chiral operators in four-dimensional N=2 supersymmetric gauge theories. We provide a general procedure to derive the exact relations among the vacuum expectation values of chiral operators in the Omega-background using the non-perturbative Dyson-Schwinger equations of qq-characters. We demonstrate our procedure using several examples. For pure SU(N) gauge theory and SU(N) gauge theory with 2N fundamental hypermultiplets, we verify the relations conjectured previously in the literature. We also briefly discuss the relations in SU(N) linear superconformal quiver gauge theories.

5.937617

5.760604

7.098028

5.663919

5.752148

5.505858

5.695149

5.333424

5.490655

7.706773

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5.965127

6.908569

5.803144

6.018833

5.902968

5.944772

5.895201

5.742723

6.747439

5.752542

hep-th/9602102

Ruben Minasian

Sergio Ferrara, Ramzi R. Khuri and Ruben Minasian

M-Theory on a Calabi-Yau Manifold

12 pages, 1 figure, uses harvmac, epsf

Phys.Lett.B375:81-88,1996

10.1016/0370-2693(96)00270-5

CERN-TH/96-41, UCLA/96/TEP/6, McGill/96-05

hep-th

null

We compactify $M$-theory on a Calabi-Yau manifold to five dimensions by wrapping the membrane and fivebrane solitons of the eleven-dimensional supergravity limit around Calabi-Yau two-cycles and four-cycles respectively. We identify the perturbative and non-perturbative BPS states thus obtained with those of heterotic string theory compactified on $K3\times S^1$. Quantum aspects of the five-dimensional theory are discussed.

[ { "created": "Mon, 19 Feb 1996 12:31:51 GMT", "version": "v1" } ]

2014-11-18

[ [ "Ferrara", "Sergio", "" ], [ "Khuri", "Ramzi R.", "" ], [ "Minasian", "Ruben", "" ] ]

We compactify $M$-theory on a Calabi-Yau manifold to five dimensions by wrapping the membrane and fivebrane solitons of the eleven-dimensional supergravity limit around Calabi-Yau two-cycles and four-cycles respectively. We identify the perturbative and non-perturbative BPS states thus obtained with those of heterotic string theory compactified on $K3\times S^1$. Quantum aspects of the five-dimensional theory are discussed.

5.621667

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4.810915

5.081985

7.629268

4.861606

5.087491

5.403897

4.916079

5.105175

5.113458

5.080343

4.980948

4.851254

5.575044

4.938566

1507.08595

Georgios Pastras

Georgios Pastras and Dimitrios Manolopoulos

Holographic Renyi Entropies and Restrictions on Higher Derivative Terms

15 pages, 8 figures. Talk delivered at the Workshop on Quantum Fields and Strings of the 2014 Corfu Summer Institute; To appear in Proceedings of Science (Proceedings of the Corfu Summer Institute 2014 "School and Workshops on Elementary Particle Physics and Gravity", 3-21 September 2014 Corfu, Greece); This talk draws heavily from arXiv:1404.1309

PoS(CORFU2014)157

null

hep-th

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

We perform a holographic calculation of the Entanglement R\'enyi entropy $S_q(\mu,\lambda)$, for spherical entangling surfaces in boundary CFT's with Einstein-Gauss-Bonnet-Maxwell holographic gravitational duals. We find that for Gauss-Bonnet couplings $\lambda$, larger than a specific value, but still allowed by causality, a violation of an inequality that R\'enyi entropies must obey by definition occurs. This violation is related to the existence of negative entropy black holes and restricts the coefficient of the Gauss-Bonnet coupling in the bulk theory. Furthermore, we discover a distinction in the analytic structure of the analytic continuation of $S_q(\mu,\lambda)$, between negative and non-negative $\lambda$, suggesting the existence of a phase transition.

[ { "created": "Thu, 30 Jul 2015 17:45:31 GMT", "version": "v1" } ]

2015-07-31

[ [ "Pastras", "Georgios", "" ], [ "Manolopoulos", "Dimitrios", "" ] ]

We perform a holographic calculation of the Entanglement R\'enyi entropy $S_q(\mu,\lambda)$, for spherical entangling surfaces in boundary CFT's with Einstein-Gauss-Bonnet-Maxwell holographic gravitational duals. We find that for Gauss-Bonnet couplings $\lambda$, larger than a specific value, but still allowed by causality, a violation of an inequality that R\'enyi entropies must obey by definition occurs. This violation is related to the existence of negative entropy black holes and restricts the coefficient of the Gauss-Bonnet coupling in the bulk theory. Furthermore, we discover a distinction in the analytic structure of the analytic continuation of $S_q(\mu,\lambda)$, between negative and non-negative $\lambda$, suggesting the existence of a phase transition.

7.338422

5.945485

7.925567

6.568845

5.895872

6.146799

5.839644

6.07974

6.181765

9.208778

6.308155

6.428475

7.597657

6.921892

6.836882

6.756462

6.711902

6.627382

7.088305

7.599744

6.877556

0710.2312

Dan Xie

Dimitri V. Nanopoulos, Dan Xie

Supercriticality of a Class of Critical String Cosmological Solutions

null

Phys.Rev.D78:044038,2008

10.1103/PhysRevD.78.044038

ACT-05-07, MIFP-07-26

hep-th

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

For a class of Friedmann-Robertson-Walker type string solutions with compact hyperbolic spatial slices formulated in critical dimension, we find the world sheet conformal field theory which involves the linear dilaton and Wess-Zumino-Witten type model with the compact hyperbolic target space. By analyzing the infrared spectrum, we conclude that the theory is actually supercritical due to the modular invariance of string theory. Thus, taking into account previous results, we conclude that all the simple nontrivial string cosmological solutions are supercritical. A possible explanation of why we are living in D=4 is provided. The interesting relation of this background with the Supercritical String Cosmology (SSC) is pointed out.

[ { "created": "Thu, 11 Oct 2007 18:16:43 GMT", "version": "v1" }, { "created": "Thu, 19 Jun 2008 21:46:08 GMT", "version": "v2" } ]

2008-11-26

[ [ "Nanopoulos", "Dimitri V.", "" ], [ "Xie", "Dan", "" ] ]

For a class of Friedmann-Robertson-Walker type string solutions with compact hyperbolic spatial slices formulated in critical dimension, we find the world sheet conformal field theory which involves the linear dilaton and Wess-Zumino-Witten type model with the compact hyperbolic target space. By analyzing the infrared spectrum, we conclude that the theory is actually supercritical due to the modular invariance of string theory. Thus, taking into account previous results, we conclude that all the simple nontrivial string cosmological solutions are supercritical. A possible explanation of why we are living in D=4 is provided. The interesting relation of this background with the Supercritical String Cosmology (SSC) is pointed out.

10.549894

9.945867

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10.452718

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10.248734

9.532855

9.914074

10.058081

9.71602

9.6993

9.723743

10.877737

9.90995

1304.6880

Antonino Flachi

Dual Fermion Condensates in Curved Space

12 pages; 7 figures

null

10.1103/PhysRevD.88.085011

null

hep-th hep-lat hep-ph

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

In this paper we compute the effective action at finite temperature and density for the dual fermion condensate in curved space with the fermions described by an effective field theory with four-point interactions. The approach we adopt refines a technique developed earlier to study chiral symmetry breaking in curved space and it is generalized here to include the U$(1)$-valued boundary conditions necessary to define the dual condensate. The method we present is general, includes the coupling between the fermion condensate and the Polyakov loop, and applies to any ultrastatic background spacetime with a nonsingular base. It also allows one to include inhomogeneous and anisotropic phases and therefore it is suitable to study situations where the geometry is not homogeneous. We first illustrate a procedure, based on heat kernels, useful to deal with situations where the dual and chiral condensates (as well as any smooth background field eventually present) are slowly or rapidly varying functions in space. Then we discuss a different approach based on the density of states method and on the use of Tauberian theorems to handle the case of arbitrary chemical potentials. As a trial application, we consider the case of constant curvature spacetimes and show how to compute numerically the dual fermion condensate in the case of both homogeneous and inhomogeneous phases.

[ { "created": "Thu, 25 Apr 2013 11:32:07 GMT", "version": "v1" }, { "created": "Mon, 13 May 2013 12:27:03 GMT", "version": "v2" }, { "created": "Mon, 14 Oct 2013 10:01:34 GMT", "version": "v3" } ]

2015-06-15

[ [ "Flachi", "Antonino", "" ] ]

In this paper we compute the effective action at finite temperature and density for the dual fermion condensate in curved space with the fermions described by an effective field theory with four-point interactions. The approach we adopt refines a technique developed earlier to study chiral symmetry breaking in curved space and it is generalized here to include the U$(1)$-valued boundary conditions necessary to define the dual condensate. The method we present is general, includes the coupling between the fermion condensate and the Polyakov loop, and applies to any ultrastatic background spacetime with a nonsingular base. It also allows one to include inhomogeneous and anisotropic phases and therefore it is suitable to study situations where the geometry is not homogeneous. We first illustrate a procedure, based on heat kernels, useful to deal with situations where the dual and chiral condensates (as well as any smooth background field eventually present) are slowly or rapidly varying functions in space. Then we discuss a different approach based on the density of states method and on the use of Tauberian theorems to handle the case of arbitrary chemical potentials. As a trial application, we consider the case of constant curvature spacetimes and show how to compute numerically the dual fermion condensate in the case of both homogeneous and inhomogeneous phases.

10.487393

11.712545

10.938641

10.516411

11.533158

11.31092

11.118974

11.086645

10.318817

10.768676

10.896892

10.090513

10.329062

10.148004

10.50938

10.430072

10.125923

10.336719

10.431702

10.459619

10.433908

hep-th/9912125

Nemanja Kaloper

Crystal Manyfold Universes in AdS Space

16 pages, latex, no figures. v2: comments added and misprints corrected

Phys.Lett. B474 (2000) 269-281

10.1016/S0370-2693(00)00028-9

SU-ITP-99/52

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

null

We derive crystal braneworld solutions, comprising of intersecting families of parallel $n+2$-branes in a $4+n$-dimensional $AdS$ space. Each family consists of alternating positive and negative tension branes. In the simplest case of exactly orthogonal families, there arise different crystals with unbroken 4D Poincare invariance on the intersections, where our world can reside. A crystal can be finite along some direction, either because that direction is compact, or because it ends on a segment of $AdS$ bulk, or infinite, where the branes continue forever. If the crystal is interlaced by connected 3-branes directed both along the intersections and orthogonal to them, it can be viewed as an example of a Manyfold universe proposed recently by Arkani-Hamed, Dimopoulos, Dvali and the author. There are new ways for generating hierarchies, since the bulk volume of the crystal and the lattice spacing affect the 4D Planck mass. The low energy physics is sensitive to the boundary conditions in the bulk, and has to satisfy the same constraints discussed in the Manyfold universe. Phenomenological considerations favor either finite crystals, or crystals which are infinite but have broken translational invariance in the bulk. The most distinctive signature of the bulk structure is that the bulk gravitons are Bloch waves, with a band spectrum, which we explicitly construct in the case of a 5-dimensional theory.

[ { "created": "Wed, 15 Dec 1999 08:02:29 GMT", "version": "v1" }, { "created": "Sat, 18 Dec 1999 20:56:26 GMT", "version": "v2" } ]

2009-10-31

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

We derive crystal braneworld solutions, comprising of intersecting families of parallel $n+2$-branes in a $4+n$-dimensional $AdS$ space. Each family consists of alternating positive and negative tension branes. In the simplest case of exactly orthogonal families, there arise different crystals with unbroken 4D Poincare invariance on the intersections, where our world can reside. A crystal can be finite along some direction, either because that direction is compact, or because it ends on a segment of $AdS$ bulk, or infinite, where the branes continue forever. If the crystal is interlaced by connected 3-branes directed both along the intersections and orthogonal to them, it can be viewed as an example of a Manyfold universe proposed recently by Arkani-Hamed, Dimopoulos, Dvali and the author. There are new ways for generating hierarchies, since the bulk volume of the crystal and the lattice spacing affect the 4D Planck mass. The low energy physics is sensitive to the boundary conditions in the bulk, and has to satisfy the same constraints discussed in the Manyfold universe. Phenomenological considerations favor either finite crystals, or crystals which are infinite but have broken translational invariance in the bulk. The most distinctive signature of the bulk structure is that the bulk gravitons are Bloch waves, with a band spectrum, which we explicitly construct in the case of a 5-dimensional theory.

11.236201

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11.219031

11.356903

11.157562

11.098821

10.870385

11.163376

10.629145

1503.08025

Josef Kluson

J. Kluson

Uniform Gauge for D1-brane in General Background

14 pages

null

hep-th

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

We construct uniform gauge D1-brane action in general background. We also discuss how this action transforms under double Wick rotation and determine transformation properties of background fields.

[ { "created": "Fri, 27 Mar 2015 11:24:44 GMT", "version": "v1" } ]

2015-03-30

[ [ "Kluson", "J.", "" ] ]

We construct uniform gauge D1-brane action in general background. We also discuss how this action transforms under double Wick rotation and determine transformation properties of background fields.

32.261162

27.360428

32.291222

22.403719

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21.6078

24.274094

27.297968

23.702606

1012.2974

Paulina Suchanek

Elliptic recursion for 4-point superconformal blocks and bootstrap in N=1 SLFT

36 pages, 3 figures, added references

JHEP 1102:090,2011

10.1007/JHEP02(2011)090

null

hep-th

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

All types of 4-point spheric conformal blocks in both sectors of N=1 superconformal field theory are introduced and analyzed. The elliptic recurrence formulae are derived for all the types of blocks not previously discussed in the literature. The results are used for numerical verification of the crossing symmetry of some 4-point functions in the N=1 superconformal Liouville field theory.

[ { "created": "Tue, 14 Dec 2010 09:42:29 GMT", "version": "v1" }, { "created": "Sat, 12 Mar 2011 21:24:05 GMT", "version": "v2" } ]

2015-03-17

[ [ "Suchanek", "Paulina", "" ] ]

All types of 4-point spheric conformal blocks in both sectors of N=1 superconformal field theory are introduced and analyzed. The elliptic recurrence formulae are derived for all the types of blocks not previously discussed in the literature. The results are used for numerical verification of the crossing symmetry of some 4-point functions in the N=1 superconformal Liouville field theory.

11.97366

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8.376796

1509.06719

Jo\~ao P Rodrigues

Mthokozisi Masuku and Jo\~ao P. Rodrigues

De Alfaro, Fubini and Furlan from multi Matrix Systems

Citation added; 19 pages

null

10.1007/JHEP12(2015)175

BROWN-HET-1685

hep-th

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

We consider the quantum mechanics of an even number of space indexed hermitian matrices. Upon complexification, we show that a closed subsector naturally parametrized by a matrix valued radial coordinate has a description in terms of non interacting $s$-state "radial fermions" with an emergent De Alfaro, Fubini and Furlan type potential, present only for two or more complex matrices. The concomitant $AdS_2$ symmetry is identified. The large $N$ description in terms of the density of radial eigenvalues is also described.

[ { "created": "Tue, 22 Sep 2015 18:38:13 GMT", "version": "v1" }, { "created": "Tue, 20 Oct 2015 06:56:04 GMT", "version": "v2" } ]

2016-01-27

[ [ "Masuku", "Mthokozisi", "" ], [ "Rodrigues", "João P.", "" ] ]

We consider the quantum mechanics of an even number of space indexed hermitian matrices. Upon complexification, we show that a closed subsector naturally parametrized by a matrix valued radial coordinate has a description in terms of non interacting $s$-state "radial fermions" with an emergent De Alfaro, Fubini and Furlan type potential, present only for two or more complex matrices. The concomitant $AdS_2$ symmetry is identified. The large $N$ description in terms of the density of radial eigenvalues is also described.

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14.870717

15.491008

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14.266589

13.883315

13.65469

14.164227

15.241692

14.399369

2002.11365

Kazushi Yamashiro

Asato Tsuchiya, Kazushi Yamashiro

Information geometry encoded in bulk geometry

19 pages, 1 figure, published version

JHEP 06 (2020) 107

10.1007/JHEP06(2020)107

null

hep-th

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

We study how information geometry is described by bulk geometry in the gauge/gravity correspondence. We consider a quantum information metric that measures the distance between the ground states of a CFT and a theory obtained by perturbing the CFT. We find a universal formula that represents the quantum information metric in terms of back reaction to the AdS bulk geometry.

[ { "created": "Wed, 26 Feb 2020 09:05:06 GMT", "version": "v1" }, { "created": "Mon, 2 Mar 2020 09:13:51 GMT", "version": "v2" }, { "created": "Fri, 26 Jun 2020 08:25:14 GMT", "version": "v3" } ]

2020-06-29

[ [ "Tsuchiya", "Asato", "" ], [ "Yamashiro", "Kazushi", "" ] ]

We study how information geometry is described by bulk geometry in the gauge/gravity correspondence. We consider a quantum information metric that measures the distance between the ground states of a CFT and a theory obtained by perturbing the CFT. We find a universal formula that represents the quantum information metric in terms of back reaction to the AdS bulk geometry.

9.17866

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7.33676

10.016273

7.05726

7.598702

8.687592

7.570329

7.70543

7.319921

7.330346

7.819643

7.445724

8.325112

7.237925

2111.11392

Sabrina Pasterski

Sabrina Pasterski, Monica Pate and Ana-Maria Raclariu

Celestial Holography

contribution to Snowmass 2022

null

hep-th

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

Celestial holography proposes a duality between the gravitational $\mathcal{S}$-matrix and correlators in a conformal field theory living on the celestial sphere. In this white paper, solicited for the 2022 Snowmass process, we review the motivation from asymptotic symmetries, fundamentals of the proposed holographic dictionary, potential applications to experiment and theory, and some important open questions.

[ { "created": "Mon, 22 Nov 2021 18:08:31 GMT", "version": "v1" } ]

2021-11-23

[ [ "Pasterski", "Sabrina", "" ], [ "Pate", "Monica", "" ], [ "Raclariu", "Ana-Maria", "" ] ]

Celestial holography proposes a duality between the gravitational $\mathcal{S}$-matrix and correlators in a conformal field theory living on the celestial sphere. In this white paper, solicited for the 2022 Snowmass process, we review the motivation from asymptotic symmetries, fundamentals of the proposed holographic dictionary, potential applications to experiment and theory, and some important open questions.

10.028296

6.767448

9.567385

6.710309

6.754009

7.397503

7.58474

7.093533

6.21338

8.080299

6.674506

7.311772

7.068326

6.968235

7.313418

7.266209

7.147672

7.109257

7.024908

6.911203

7.250233

1312.2541

Marcin Daszkiewicz

Model of hydrogen atom for twisted acceleration-enlarged Newton-Hooke space-times

12 pages, no figures. arXiv admin note: substantial text overlap with arXiv:1108.1904, arXiv:1101.1716

Chin.J.Phys. 51 (2013) 646

10.6122/CJP.51.646

null

hep-th

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

We define the model of hydrogen atom for twist-deformed acceleration-enlarged Newton-Hooke space-time. Further, using time-dependent perturbation theory, we find in first step of iteration procedure the solution of corresponding Schroedinger equation as well as the probability of transition between two different energy-eigenstates.

[ { "created": "Mon, 9 Dec 2013 18:41:04 GMT", "version": "v1" } ]

2013-12-10

[ [ "Daszkiewicz", "Marcin", "" ] ]

We define the model of hydrogen atom for twist-deformed acceleration-enlarged Newton-Hooke space-time. Further, using time-dependent perturbation theory, we find in first step of iteration procedure the solution of corresponding Schroedinger equation as well as the probability of transition between two different energy-eigenstates.

22.614403

18.688225

22.893646

18.452274

19.273682

17.04092

18.539562

15.371664

17.240572

23.443808

17.344692

18.033997

21.268942

18.922569

19.335253

18.520592

18.147211

18.954771

18.576044

19.759352

19.007103

hep-th/0610175

Sebastiano Rossi

Christoph A. Keller and Sebastiano Rossi

Boundary states, matrix factorisations and correlation functions for the E-models

20 pages, no figures

JHEP 0703:038,2007

10.1088/1126-6708/2007/03/038

null

hep-th

null

The open string spectra of the B-type D-branes of the N=2 E-models are calculated. Using these results we match the boundary states to the matrix factorisations of the corresponding Landau-Ginzburg models. The identification allows us to calculate specific terms in the effective brane superpotential of E_6 using conformal field theory methods, thereby enabling us to test results recently obtained in this context.

[ { "created": "Mon, 16 Oct 2006 09:28:02 GMT", "version": "v1" } ]

2010-02-03

[ [ "Keller", "Christoph A.", "" ], [ "Rossi", "Sebastiano", "" ] ]

The open string spectra of the B-type D-branes of the N=2 E-models are calculated. Using these results we match the boundary states to the matrix factorisations of the corresponding Landau-Ginzburg models. The identification allows us to calculate specific terms in the effective brane superpotential of E_6 using conformal field theory methods, thereby enabling us to test results recently obtained in this context.

13.599753

11.653752

16.895754

10.603901

11.06157

12.683807

12.300536

12.280535

12.088187

15.171306

10.880222

11.523069

14.843574

12.400466

11.657619

10.991025

11.203232

11.512291

11.855353

13.251889

11.486043

1806.01361

Lance Dixon

Simon Caron-Huot, Lance J. Dixon, Matt von Hippel, Andrew J. McLeod and Georgios Papathanasiou

The Double Pentaladder Integral to All Orders

70 pages, 3 figures, 4 tables; v2, minor typo corrections and clarifications

null

10.1007/JHEP07(2018)170

DESY 18-009, SLAC-PUB-17228

hep-th

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

We compute dual-conformally invariant ladder integrals that are capped off by pentagons at each end of the ladder. Such integrals appear in six-point amplitudes in planar N=4 super-Yang-Mills theory. We provide exact, finite-coupling formulas for the basic double pentaladder integrals as a single Mellin integral over hypergeometric functions. For particular choices of the dual conformal cross ratios, we can evaluate the integral at weak coupling to high loop orders in terms of multiple polylogarithms. We argue that the integrals are exponentially suppressed at strong coupling. We describe the space of functions that contains all such double pentaladder integrals and their derivatives, or coproducts. This space, a prototype for the space of Steinmann hexagon functions, has a simple algebraic structure, which we elucidate by considering a particular discontinuity of the functions that localizes the Mellin integral and collapses the relevant symbol alphabet. This function space is endowed with a coaction, both perturbatively and at finite coupling, which mixes the independent solutions of the hypergeometric differential equation and constructively realizes a coaction principle of the type believed to hold in the full Steinmann hexagon function space.

[ { "created": "Mon, 4 Jun 2018 20:06:35 GMT", "version": "v1" }, { "created": "Thu, 26 Jul 2018 15:34:24 GMT", "version": "v2" } ]

2018-08-15

[ [ "Caron-Huot", "Simon", "" ], [ "Dixon", "Lance J.", "" ], [ "von Hippel", "Matt", "" ], [ "McLeod", "Andrew J.", "" ], [ "Papathanasiou", "Georgios", "" ] ]

We compute dual-conformally invariant ladder integrals that are capped off by pentagons at each end of the ladder. Such integrals appear in six-point amplitudes in planar N=4 super-Yang-Mills theory. We provide exact, finite-coupling formulas for the basic double pentaladder integrals as a single Mellin integral over hypergeometric functions. For particular choices of the dual conformal cross ratios, we can evaluate the integral at weak coupling to high loop orders in terms of multiple polylogarithms. We argue that the integrals are exponentially suppressed at strong coupling. We describe the space of functions that contains all such double pentaladder integrals and their derivatives, or coproducts. This space, a prototype for the space of Steinmann hexagon functions, has a simple algebraic structure, which we elucidate by considering a particular discontinuity of the functions that localizes the Mellin integral and collapses the relevant symbol alphabet. This function space is endowed with a coaction, both perturbatively and at finite coupling, which mixes the independent solutions of the hypergeometric differential equation and constructively realizes a coaction principle of the type believed to hold in the full Steinmann hexagon function space.

9.875815

10.703881

11.0969

10.035846

10.189583

10.576449

10.459442

10.091793

10.018667

13.295057

10.245858

9.680767

10.544365

9.459455

9.905301

9.652706

9.773362

9.836657

9.475892

10.754669

9.651191

hep-th/9709019

Harutada Sato

Kaj Roland and Haru-Tada Sato

Multiloop $\Phi^3$ Amplitudes from Bosonic String Theory

1+26 pages (Latex), 4 figures included (PicTex)

Nucl.Phys. B515 (1998) 488-508

10.1016/S0550-3213(97)00822-5

NBI-HE-97-39

hep-th

null

We show how the multiloop amplitudes of $\Phi^3$ theory (in the worldline formulation of Schmidt and Schubert) are recovered from the N-tachyon $(h+1)$-loop amplitude in bosonic string theory in the $\alpha' \to 0$ limit, if one keeps the tachyon coupling constant fixed. In this limit the integral over string moduli space receives contributions only from those corners where the world-sheet resembles a $\Phi^3$ particle diagram. Technical issues involved are a proper choice of local world-sheet coordinates, needed to take the string amplitudes off-shell, and a formal procedure for introducing a free mass parameter $M^2$ instead of the tachyonic value $-4/\alpha'$.

[ { "created": "Tue, 2 Sep 1997 12:04:05 GMT", "version": "v1" } ]

2009-10-30

[ [ "Roland", "Kaj", "" ], [ "Sato", "Haru-Tada", "" ] ]

We show how the multiloop amplitudes of $\Phi^3$ theory (in the worldline formulation of Schmidt and Schubert) are recovered from the N-tachyon $(h+1)$-loop amplitude in bosonic string theory in the $\alpha' \to 0$ limit, if one keeps the tachyon coupling constant fixed. In this limit the integral over string moduli space receives contributions only from those corners where the world-sheet resembles a $\Phi^3$ particle diagram. Technical issues involved are a proper choice of local world-sheet coordinates, needed to take the string amplitudes off-shell, and a formal procedure for introducing a free mass parameter $M^2$ instead of the tachyonic value $-4/\alpha'$.

10.156332

10.258126

12.313666

10.100256

10.175729

11.228116

10.291838

10.285141

9.630083

12.196616

9.857512

9.69653

9.994177

9.53351

9.395333

9.575728

10.066755

9.647272

9.699968

10.245922

9.575244

hep-th/0103113

Gilda Reyes

Christian Fronsdal (University of California, Los Angeles)

Retrospective on Quantization

14 pages, LaTex file

Lett.Math.Phys. 56 (2001) 73-84

null

hep-th

null

Quantization is still a central problem of modern physics. One example of an unsolved problem is the quantization of Nambu mechanics. After a brief comment on the role of Harrison cohomology, this review concentrates on the central problem of quantization of QCD and, more generally, quark confinement seen as a problem of quantization. Several suggestions are made, some of them rather extravagant.

[ { "created": "Wed, 14 Mar 2001 18:51:23 GMT", "version": "v1" } ]

2007-05-23

[ [ "Fronsdal", "Christian", "", "University of California, Los Angeles" ] ]

Quantization is still a central problem of modern physics. One example of an unsolved problem is the quantization of Nambu mechanics. After a brief comment on the role of Harrison cohomology, this review concentrates on the central problem of quantization of QCD and, more generally, quark confinement seen as a problem of quantization. Several suggestions are made, some of them rather extravagant.

15.466853

15.505536

16.462162

13.811929

16.540579

16.566006

16.440104

15.367611

14.432701

17.791117

13.945907

13.983199

16.132557

14.048939

14.568611

14.079748

13.80309

13.878452

13.927733

15.061604

14.33113

2007.06467

Yago Bea Besada

Yago Bea, Oscar J. C. Dias, Thanasis Giannakopoulos, David Mateos, Mikel Sanchez-Garitaonandia, Jorge E. Santos, Miguel Zilhao

Crossing a large-$N$ phase transition at finite volume

69 pages, 31 figures

null

10.1007/JHEP02(2021)061

ICCUB-20-015

hep-th gr-qc

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

The existence of phase-separated states is an essential feature of infinite-volume systems with a thermal, first-order phase transition. At energies between those at which the phase transition takes place, equilibrium homogeneous states are either metastable or suffer from a spinodal instability. In this range the stable states are inhomogeneous, phase-separated states. We use holography to investigate how this picture is modified at finite volume in a strongly coupled, four-dimensional gauge theory. We work in the planar limit, $N \to \infty$, which ensures that we remain in the thermodynamic limit. We uncover a rich set of inhomogeneous states dual to lumpy black branes on the gravity side, as well as first- and second-order phase transitions between them. We establish their local (in)stability properties and show that fully non-linear time evolution in the bulk takes unstable states to stable ones.

[ { "created": "Mon, 13 Jul 2020 15:59:44 GMT", "version": "v1" } ]

2021-02-24

[ [ "Bea", "Yago", "" ], [ "Dias", "Oscar J. C.", "" ], [ "Giannakopoulos", "Thanasis", "" ], [ "Mateos", "David", "" ], [ "Sanchez-Garitaonandia", "Mikel", "" ], [ "Santos", "Jorge E.", "" ], [ "Zilhao", "Miguel", "" ] ]

The existence of phase-separated states is an essential feature of infinite-volume systems with a thermal, first-order phase transition. At energies between those at which the phase transition takes place, equilibrium homogeneous states are either metastable or suffer from a spinodal instability. In this range the stable states are inhomogeneous, phase-separated states. We use holography to investigate how this picture is modified at finite volume in a strongly coupled, four-dimensional gauge theory. We work in the planar limit, $N \to \infty$, which ensures that we remain in the thermodynamic limit. We uncover a rich set of inhomogeneous states dual to lumpy black branes on the gravity side, as well as first- and second-order phase transitions between them. We establish their local (in)stability properties and show that fully non-linear time evolution in the bulk takes unstable states to stable ones.

10.1467

10.041631

10.554848

9.835763

10.633959

10.405529

9.898106

9.963798

9.830172

11.177267

9.223571

9.68689

10.001841

9.705789

9.725904

9.549689

9.339818

9.425753

9.427212

10.253106

9.397623

hep-th/0510164

Rudra Prakash Malik

R. P. Malik (Bose National Centre & CAS, Phys. Deptt., BHU)

Superfield Approach To Nilpotent Symmetries For QED From A Single Restriction: An Alternative To The Horizontality Condition

LaTeX file, 15 pages, journal-version

J.Phys.A39:10575-10587,2006

10.1088/0305-4470/39/33/023

null

hep-th

null

We derive together the exact local, covariant, continuous and off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the U(1) gauge field (A_\mu), the (anti-)ghost fields ((\bar C)C) and the Dirac fields (\psi, \bar\psi) of the Lagrangian density of a four (3 + 1)-dimensional QED by exploiting a single restriction on the six (4, 2)-dimensional supermanifold. A set of four even spacetime coordinates x^\mu (\mu = 0, 1, 2, 3) and two odd Grassmannian variables \theta and \bar\theta parametrize this six dimensional supermanifold. The new gauge invariant restriction on the above supermanifold owes its origin to the (super) covariant derivatives and their intimate relations with the (super) 2-form curvatures (\tilde F^{(2)})F^{(2)} constructed with the help of (super) 1-form gauge connections (\tilde A^{(1)})A^{(1)} and (super) exterior derivatives (\tilde d)d. The results obtained separately by exploiting (i) the horizontality condition, and (ii) one of its consistent extensions, are shown to be a simple consequence of this new single restriction on the above supermanifold. Thus, our present endeavour provides an alternative to (and, in some sense, generalization of) the horizontality condition of the usual superfield formalism applied to the derivation of BRST symmetries.

[ { "created": "Wed, 19 Oct 2005 16:45:33 GMT", "version": "v1" }, { "created": "Tue, 15 Nov 2005 16:04:28 GMT", "version": "v2" }, { "created": "Tue, 25 Apr 2006 16:54:04 GMT", "version": "v3" }, { "created": "Tue, 4 Jul 2006 06:03:48 GMT", "version": "v4" }, { "created": "Fri, 4 Aug 2006 16:15:41 GMT", "version": "v5" } ]

2009-11-11

[ [ "Malik", "R. P.", "", "Bose National Centre & CAS, Phys. Deptt., BHU" ] ]

We derive together the exact local, covariant, continuous and off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the U(1) gauge field (A_\mu), the (anti-)ghost fields ((\bar C)C) and the Dirac fields (\psi, \bar\psi) of the Lagrangian density of a four (3 + 1)-dimensional QED by exploiting a single restriction on the six (4, 2)-dimensional supermanifold. A set of four even spacetime coordinates x^\mu (\mu = 0, 1, 2, 3) and two odd Grassmannian variables \theta and \bar\theta parametrize this six dimensional supermanifold. The new gauge invariant restriction on the above supermanifold owes its origin to the (super) covariant derivatives and their intimate relations with the (super) 2-form curvatures (\tilde F^{(2)})F^{(2)} constructed with the help of (super) 1-form gauge connections (\tilde A^{(1)})A^{(1)} and (super) exterior derivatives (\tilde d)d. The results obtained separately by exploiting (i) the horizontality condition, and (ii) one of its consistent extensions, are shown to be a simple consequence of this new single restriction on the above supermanifold. Thus, our present endeavour provides an alternative to (and, in some sense, generalization of) the horizontality condition of the usual superfield formalism applied to the derivation of BRST symmetries.

6.312242

4.660251

7.171468

5.034305

4.841899

5.015485

4.89648

4.99445

5.136688

7.151069

4.744157

5.402016

6.364351

5.656535

5.790081

5.323227

5.537444

5.882347

5.594698

6.389685

5.378148

hep-th/0612123

Oleg Kechkin

Vadim V. Asadov and Oleg V. Kechkin

Parity Violation and Arrow of Time in Generalized Quantum Dynamics

5 pages

null

hep-th

null

It is shown, that parity violation in quantum systems can be a natural result of their dynamical evolution. The corresponding (completely integrable) formalism is based on the use of quantum theory with complex time and non-Hermitian Hamiltonian. It is demonstrated, that starting with total symmetry between left and right states at the initial time, one obtains strictly polarized system at the time infinity. The increasing left-right asymmetry detects a presence of well-defined arrow of time in evolution of the system. We discuss possible application of the general formalism developed to construction of modified irreversible dynamics of massless Dirac fields (in framework of superstring theory, for example).

[ { "created": "Wed, 13 Dec 2006 02:41:20 GMT", "version": "v1" } ]

2007-05-23

[ [ "Asadov", "Vadim V.", "" ], [ "Kechkin", "Oleg V.", "" ] ]

It is shown, that parity violation in quantum systems can be a natural result of their dynamical evolution. The corresponding (completely integrable) formalism is based on the use of quantum theory with complex time and non-Hermitian Hamiltonian. It is demonstrated, that starting with total symmetry between left and right states at the initial time, one obtains strictly polarized system at the time infinity. The increasing left-right asymmetry detects a presence of well-defined arrow of time in evolution of the system. We discuss possible application of the general formalism developed to construction of modified irreversible dynamics of massless Dirac fields (in framework of superstring theory, for example).

15.337934

14.427207

13.944021

13.405748

15.741746

14.114285

15.007478

14.870809

13.958656

16.148117

14.506348

13.852335

14.107718

13.989692

13.913247

14.288501

13.991365

13.905964

14.260675

13.865972

13.882249

1910.03610

David Vegh

Celestial fields on the string and the Schwarzian action

29 pages, 4 figures. Minor corrections, appendix added. To appear in JHEP

null

QMUL-PH-19-27

hep-th

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

This paper describes the motion of a classical Nambu-Goto string in three-dimensional anti-de Sitter spacetime in terms of two `celestial' fields on the worldsheet. The fields correspond to retarded and advanced boundary times at which null rays emanating from the string reach the boundary. The formalism allows for a simple derivation of the Schwarzian action for near-AdS2 embeddings.

[ { "created": "Tue, 8 Oct 2019 18:02:22 GMT", "version": "v1" }, { "created": "Fri, 25 Jun 2021 15:14:45 GMT", "version": "v2" } ]

2021-06-28

[ [ "Vegh", "David", "" ] ]

This paper describes the motion of a classical Nambu-Goto string in three-dimensional anti-de Sitter spacetime in terms of two `celestial' fields on the worldsheet. The fields correspond to retarded and advanced boundary times at which null rays emanating from the string reach the boundary. The formalism allows for a simple derivation of the Schwarzian action for near-AdS2 embeddings.

10.780788

9.892641

12.999606

8.738541

8.440578

9.713312

9.765319

8.757644

8.410809

13.519968

9.117112

9.098565

11.144732

9.957516

9.163141

9.172413

8.657135

9.692388

9.351029

10.720028

9.697513

2209.01423

Edvard Musaev

Ilya Bakhmatov, Aybike \c{C}atal-\"Ozer, Nihat Sadik Deger, Kirill Gubarev, Edvard T. Musaev

Generalized 11D supergravity equations from tri-vector deformations

v3, refs added, minor corrections

Eur.Phys.J.C 83 (2023) 1, 37

10.1140/epjc/s10052-022-11163-6

null

hep-th

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

In arXiv:2203.03372 we presented a modification of 11-dimensional supergravity field equations which upon dimensional reduction yields generalized supergravity equations in 10-dimensions. In this paper we provide full technical details of that result which is based on SL(5) exceptional field theory. The equations are obtained by making a non-unimodular tri-vector Yang-Baxter deformation which breaks the initial GL(11) symmetry down to GL(7)xGL(4). We also give some non-trivial solutions to these equations.

[ { "created": "Sat, 3 Sep 2022 13:48:33 GMT", "version": "v1" }, { "created": "Fri, 16 Sep 2022 11:20:51 GMT", "version": "v2" }, { "created": "Thu, 22 Sep 2022 16:20:45 GMT", "version": "v3" } ]

2023-04-28

[ [ "Bakhmatov", "Ilya", "" ], [ "Çatal-Özer", "Aybike", "" ], [ "Deger", "Nihat Sadik", "" ], [ "Gubarev", "Kirill", "" ], [ "Musaev", "Edvard T.", "" ] ]

In arXiv:2203.03372 we presented a modification of 11-dimensional supergravity field equations which upon dimensional reduction yields generalized supergravity equations in 10-dimensions. In this paper we provide full technical details of that result which is based on SL(5) exceptional field theory. The equations are obtained by making a non-unimodular tri-vector Yang-Baxter deformation which breaks the initial GL(11) symmetry down to GL(7)xGL(4). We also give some non-trivial solutions to these equations.

12.03466

10.803014

11.71266

9.252452

9.439051

9.700362

9.399587

10.257118

9.764947

13.395205

9.676431

10.186308

10.928062

9.815853

9.712124

10.069869

10.220243

10.063028

9.78791

11.245855

10.115806

0901.4148

Lilia Anguelova

Flux Vacua Attractors in Type II on SU(3)xSU(3) Structure

10 pages, contribution to the proceedings of the 4th RTN workshop "Forces Universe", Varna, September 2008

Fortsch.Phys.57:492-498,2009

10.1002/prop.200900026

null

hep-th

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

We summarize and extend our work on flux vacua attractors in generalized compactifications. After reviewing the attractor equations for the heterotic string on SU(3) structure manifolds, we study attractors for N=1 vacua in type IIA/B on SU(3)xSU(3) structure spaces. In the case of vanishing RR flux, we find attractor equations that encode Minkowski vacua only (and which correct a previous normalization error). In addition to our previous considerations, here we also discuss the case of nonzero RR flux and the possibility of attractors for AdS vacua.

[ { "created": "Tue, 27 Jan 2009 00:04:26 GMT", "version": "v1" } ]

2009-08-03

[ [ "Anguelova", "Lilia", "" ] ]

We summarize and extend our work on flux vacua attractors in generalized compactifications. After reviewing the attractor equations for the heterotic string on SU(3) structure manifolds, we study attractors for N=1 vacua in type IIA/B on SU(3)xSU(3) structure spaces. In the case of vanishing RR flux, we find attractor equations that encode Minkowski vacua only (and which correct a previous normalization error). In addition to our previous considerations, here we also discuss the case of nonzero RR flux and the possibility of attractors for AdS vacua.

10.068417

8.557111

11.478689

8.532397

8.944679

8.45286

8.054461

8.459438

8.138535

12.114406

7.921789

8.347802

9.762841

8.604078

8.706058

8.275689

8.480274

8.466229

8.441237

9.063463

8.490357

hep-th/9709200

Vipul Periwal

Quantum Hamilton-Jacobi equation

4 pages, RevTeX

Phys.Rev.Lett. 80 (1998) 4366-4369

10.1103/PhysRevLett.80.4366

PUPT-1688

hep-th

null

The nontrivial transformation of the phase space path integral measure under certain discretized analogues of canonical transformations is computed. This Jacobian is used to derive a quantum analogue of the Hamilton-Jacobi equation for the generating function of a canonical transformation that maps any quantum system to a system with a vanishing Hamiltonian. A formal perturbative solution of the quantum Hamilton-Jacobi equation is given.

[ { "created": "Mon, 29 Sep 1997 03:13:50 GMT", "version": "v1" } ]

2009-10-30

[ [ "Periwal", "Vipul", "" ] ]

The nontrivial transformation of the phase space path integral measure under certain discretized analogues of canonical transformations is computed. This Jacobian is used to derive a quantum analogue of the Hamilton-Jacobi equation for the generating function of a canonical transformation that maps any quantum system to a system with a vanishing Hamiltonian. A formal perturbative solution of the quantum Hamilton-Jacobi equation is given.

9.053442

7.032367

8.048008

6.900096

7.823769

7.743323

7.165082

6.810478

7.323114

7.680498

7.7314

7.161469

7.816221

7.383949

7.558739

7.565045

7.661378

7.496503

7.341739

7.59603

7.335404

2203.07101

Fedor Popov

Alexander M. Polyakov, Fedor K. Popov

Kronecker anomalies and gravitational striction

25 pages, 1 figure

null

hep-th

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

We study quantum field theories in which the number of degrees of freedom changes discontinuously across the momentum space. This discontinuity which we call "Kronecker anomaly" leads to non-local effective actions and can be represented as a theory with the random, self-tuning coupling constants.

[ { "created": "Mon, 14 Mar 2022 13:45:59 GMT", "version": "v1" } ]

2022-03-15

[ [ "Polyakov", "Alexander M.", "" ], [ "Popov", "Fedor K.", "" ] ]

We study quantum field theories in which the number of degrees of freedom changes discontinuously across the momentum space. This discontinuity which we call "Kronecker anomaly" leads to non-local effective actions and can be represented as a theory with the random, self-tuning coupling constants.

17.19108

16.059141

15.803403

14.13687

16.449438

14.895116

15.470132

13.058486

14.652358

18.596624

13.546971

13.77397

15.098513

14.43488

14.71241

14.827341

13.676986

14.301333

14.252484

15.619865

14.414351

1007.5438

Parinya Karndumri

Auttakit Chatrabhuti and Parinya Karndumri

Vacua and RG flows in N=9 three dimensional gauged supergravity

30 pp. 6 figures, references and new information added

JHEP 1010:098,2010

10.1007/JHEP10(2010)098

null

hep-th

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

We study some vacua of N=9 three dimensional gauged supergravity. The theory contains sixteen scalar fields parametrizing the exceptional coset space ${F_{4(-20)}}{SO(9)}$. Various AdS supersymmetric and some non-supersymmetric vacua are found in both compact and non-compact gaugings with gauge groups $SO(p)\times SO(9-p)$ for $p=0, 1, 2, 3, 4$, $G_{2(-14)}\times SL(2)$ and $Sp(1,2)\times SU(2)$. We also study many RG flow solutions, both analytic and numerical, interpolating between supersymmetric critical points in this theory. All the flows considered here are driven by a relevant operator of dimension $\Delta={3}{2}$. This operator breaks conformal symmetry as well as supersymmetry and drives the CFT in the UV to another CFT in the IR with lower supersymmetries.

[ { "created": "Fri, 30 Jul 2010 13:20:28 GMT", "version": "v1" }, { "created": "Mon, 11 Oct 2010 10:16:03 GMT", "version": "v2" } ]

2010-10-28

[ [ "Chatrabhuti", "Auttakit", "" ], [ "Karndumri", "Parinya", "" ] ]

We study some vacua of N=9 three dimensional gauged supergravity. The theory contains sixteen scalar fields parametrizing the exceptional coset space ${F_{4(-20)}}{SO(9)}$. Various AdS supersymmetric and some non-supersymmetric vacua are found in both compact and non-compact gaugings with gauge groups $SO(p)\times SO(9-p)$ for $p=0, 1, 2, 3, 4$, $G_{2(-14)}\times SL(2)$ and $Sp(1,2)\times SU(2)$. We also study many RG flow solutions, both analytic and numerical, interpolating between supersymmetric critical points in this theory. All the flows considered here are driven by a relevant operator of dimension $\Delta={3}{2}$. This operator breaks conformal symmetry as well as supersymmetry and drives the CFT in the UV to another CFT in the IR with lower supersymmetries.

6.444427

6.056578

7.839645

6.055653

6.205165

6.004523

5.925979

5.714876

5.61804

7.730127

6.051484

6.122677

6.838372

6.179284

6.19564

6.210613

6.225606

6.001713

6.054341

6.7866

5.914847

2110.07598

Yu-Xuan Zhang

Song He, Yuan Sun, Long Zhao, Yu-Xuan Zhang

The universality of islands outside the horizon

31 pages, 11 figures, 2 tables v3: New section is added to discuss the backreaction effects of matter fields. Match the published version

null

10.1007/JHEP05(2022)047

null

hep-th

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

We systematically calculate the quantum extremal surface (QES) associated with Hawking radiation for general $D$-dimensional ($D\geq2$) asymptotically flat (or AdS) eternal black holes using the island formula. We collect the Hawking radiation particles by a non-gravitational bath and find that a QES exists in the near-horizon region outside the black hole when $c\cdot G_{(D)}$ is smaller enough where $c$ is the central charge of the conformal matter and $G_{(D)}$ the $D$-dimensional Newton constant. The locations of the QES in these backgrounds are obtained and the late-time radiation entropy saturates the two times of black hole entropy. Finally, we numerically check that the no island configuration exists once $c\cdot G_{(D)}$ exceeds a certain upper bound in two-dimensional generalized dilaton theories (GDT). When $c\cdot G_{(D)}$ is close to the upper bound, the backreaction of the matter field on the background can not be neglected. We also consider the conditions of existence of the island configuration with the backreaction and prove that the upper bound also exists for the Witten black hole and Weyl-related Witten black hole.

[ { "created": "Thu, 14 Oct 2021 17:57:27 GMT", "version": "v1" }, { "created": "Tue, 2 Nov 2021 13:30:19 GMT", "version": "v2" }, { "created": "Thu, 21 Apr 2022 13:08:27 GMT", "version": "v3" } ]

2022-05-25

[ [ "He", "Song", "" ], [ "Sun", "Yuan", "" ], [ "Zhao", "Long", "" ], [ "Zhang", "Yu-Xuan", "" ] ]

We systematically calculate the quantum extremal surface (QES) associated with Hawking radiation for general $D$-dimensional ($D\geq2$) asymptotically flat (or AdS) eternal black holes using the island formula. We collect the Hawking radiation particles by a non-gravitational bath and find that a QES exists in the near-horizon region outside the black hole when $c\cdot G_{(D)}$ is smaller enough where $c$ is the central charge of the conformal matter and $G_{(D)}$ the $D$-dimensional Newton constant. The locations of the QES in these backgrounds are obtained and the late-time radiation entropy saturates the two times of black hole entropy. Finally, we numerically check that the no island configuration exists once $c\cdot G_{(D)}$ exceeds a certain upper bound in two-dimensional generalized dilaton theories (GDT). When $c\cdot G_{(D)}$ is close to the upper bound, the backreaction of the matter field on the background can not be neglected. We also consider the conditions of existence of the island configuration with the backreaction and prove that the upper bound also exists for the Witten black hole and Weyl-related Witten black hole.

6.958805

6.815115

7.615246

6.586792

7.361358

6.885448

7.22028

6.727663

6.762643

9.34301

6.666664

6.831396

6.891628

6.655126

6.786064

6.673662

6.801828

6.655837

6.896958

6.831098

6.767855

hep-th/0503047

Yannick Meurice

L. Li and Y. Meurice

Universal Crossover in Perturbation Theory with a Large Field Cutoff

6 pages, 4 figures, uses iopart

null

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

null

For lambda phi^4 models, the introduction of a large field cutoff improves significantly the accuracy that can be reached with perturbative series but the calculation of the modified coefficients remains a challenging problem. We show that this problem can be solved numerically, and in the limits of large and small field cutoffs, for the ground state energy of the anharmonic oscillator. For the two lowest orders, the approximate formulas obtained in the large field cutoff limit extend unexpectedly far in the low field cutoff region. For the higher orders, the transition between the small field cutoff regime and the large field cutoff regime can be described in terms of a universal function.

[ { "created": "Fri, 4 Mar 2005 21:54:24 GMT", "version": "v1" } ]

2007-05-23

[ [ "Li", "L.", "" ], [ "Meurice", "Y.", "" ] ]

For lambda phi^4 models, the introduction of a large field cutoff improves significantly the accuracy that can be reached with perturbative series but the calculation of the modified coefficients remains a challenging problem. We show that this problem can be solved numerically, and in the limits of large and small field cutoffs, for the ground state energy of the anharmonic oscillator. For the two lowest orders, the approximate formulas obtained in the large field cutoff limit extend unexpectedly far in the low field cutoff region. For the higher orders, the transition between the small field cutoff regime and the large field cutoff regime can be described in terms of a universal function.

9.549434

6.842827

9.699996

8.515641

9.270308

6.57994

6.577793

6.949945

7.838773

10.367471

7.811981

8.732809

9.238571

9.018563

8.905604

8.38172

8.208618

8.750969

8.609759

9.423095

8.47198

0805.3472

Ruslan Metsaev

R.R. Metsaev

Shadows, currents and AdS fields

v3: 31 pages, RevTeX4. Appendix D devoted to modified de Donder gauge in AdS(d+1) x S(d+1) added. Footnotes 10, 21 added. Typos corrected

Phys.Rev.D78:106010,2008

10.1103/PhysRevD.78.106010

FIAN-TD-2008-16

hep-th

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

Conformal totally symmetric arbitrary spin currents and shadow fields in flat space-time of dimension greater than or equal to four are studied. Gauge invariant formulation for such currents and shadow fields is developed. Gauge symmetries are realized by involving the Stueckelberg fields. Realization of global conformal boost symmetries is obtained. Gauge invariant differential constraints for currents and shadow fields are obtained. AdS/CFT correspondence for currents and shadow fields and the respective normalizable and non-normalizable solutions of massless totally symmetric arbitrary spin AdS fields is studied. The bulk fields are considered in modified de Donder gauge that leads to decoupled equations of motion. We demonstrate that leftover on-shell gauge symmetries of bulk fields correspond to gauge symmetries of boundary currents and shadow fields, while the modified de Donder gauge conditions for bulk fields correspond to differential constraints for boundary conformal currents and shadow fields. Breaking conformal symmetries, we find interrelations between the gauge invariant formulation of the currents and shadow fields and the gauge invariant formulation of massive fields.

[ { "created": "Thu, 22 May 2008 14:59:55 GMT", "version": "v1" }, { "created": "Mon, 15 Sep 2008 16:29:47 GMT", "version": "v2" }, { "created": "Wed, 24 Dec 2008 17:08:19 GMT", "version": "v3" } ]

2009-02-23

[ [ "Metsaev", "R. R.", "" ] ]

Conformal totally symmetric arbitrary spin currents and shadow fields in flat space-time of dimension greater than or equal to four are studied. Gauge invariant formulation for such currents and shadow fields is developed. Gauge symmetries are realized by involving the Stueckelberg fields. Realization of global conformal boost symmetries is obtained. Gauge invariant differential constraints for currents and shadow fields are obtained. AdS/CFT correspondence for currents and shadow fields and the respective normalizable and non-normalizable solutions of massless totally symmetric arbitrary spin AdS fields is studied. The bulk fields are considered in modified de Donder gauge that leads to decoupled equations of motion. We demonstrate that leftover on-shell gauge symmetries of bulk fields correspond to gauge symmetries of boundary currents and shadow fields, while the modified de Donder gauge conditions for bulk fields correspond to differential constraints for boundary conformal currents and shadow fields. Breaking conformal symmetries, we find interrelations between the gauge invariant formulation of the currents and shadow fields and the gauge invariant formulation of massive fields.

8.056043

4.172592

9.260056

5.227706

4.029362

4.091663

4.016516

4.616936

5.120674

8.986501

5.147546

5.925631

7.712578

6.453311

6.002756

5.896132

5.932831

6.256609

6.416443

7.868967

6.582559

hep-th/0107113

Oleg Lunin

Oleg Lunin, Samir D. Mathur

The slowly rotating near extremal D1-D5 system as a `hot tube'

31 pages, Latex, typo corrected, reference added

Nucl.Phys. B615 (2001) 285-312

10.1016/S0550-3213(01)00428-X

OHSTPY-HEP-T-01-018

hep-th

null

The geometry of the D1-D5 system with a small angular momentum j has a long throat ending in a conical defect. We solve the scalar wave equation for low energy quanta in this geometry. The quantum is found to reflect off the end of the throat, and stay trapped in the throat for a long time. The length of the throat for j=1/2 equals n_1n_5 R, the length of the effective string in the CFT; we also find that at this distance the incident wave becomes nonlinear. Filling the throat with several quanta gives a `hot tube' which has emission properties similar to those of the near extremal black hole.

[ { "created": "Thu, 12 Jul 2001 20:09:53 GMT", "version": "v1" }, { "created": "Wed, 15 Aug 2001 00:23:38 GMT", "version": "v2" } ]

2009-11-07

[ [ "Lunin", "Oleg", "" ], [ "Mathur", "Samir D.", "" ] ]

The geometry of the D1-D5 system with a small angular momentum j has a long throat ending in a conical defect. We solve the scalar wave equation for low energy quanta in this geometry. The quantum is found to reflect off the end of the throat, and stay trapped in the throat for a long time. The length of the throat for j=1/2 equals n_1n_5 R, the length of the effective string in the CFT; we also find that at this distance the incident wave becomes nonlinear. Filling the throat with several quanta gives a `hot tube' which has emission properties similar to those of the near extremal black hole.

13.346676

13.066963

13.359043

12.053937

13.177808

12.245173

13.586884

11.957102

12.35755

14.946951

12.112403

11.484753

12.908769

11.769003

12.153588

11.779063

11.897748

12.134664

12.186994

12.662777

11.726759

hep-th/0203146

C. M. Hull

C.M. Hull

Gauged D=9 Supergravities and Scherk-Schwarz Reduction

14 pages. References added, discussion improved and corrections made

Class.Quant.Grav.21:509-516,2004

10.1088/0264-9381/21/2/014

QMUL-PH-02-05

hep-th

null

Generalised Scherk-Schwarz reductions in which compactification on a circle is accompanied by a twist with an element of a global symmetry G typically lead to gauged supergravities and are classified by the monodromy matrices, up to conjugation by the global symmetry. For compactifications of IIB supergravity on a circle, G=SL(2,R) and there are three distinct gauged supergravities that result, corresponding to monodromies in the three conjugacy classes of SL(2,R). There is one gauging of the compact SO(2) subgroup of the SL(2,R) and two distinct gaugings of non-compact SO(1,1) subgroups, embedded differently in SL(2,R). The non-compact gaugings can be obtained from the compact one via an analytic continuation of the kind used in D=4 gauged supergravities. For the superstring, the monodromy must be in SL(2,Z), and the distinct theories correspond to SL(2,Z) conjugacy classes. The theories consist of two infinite classes with quantised mass parameter m=1,2,3,..., three exceptional theories corresponding to elliptic conjugacy classes, and a set of sporadic theories corresponding to hyperbolic conjugacy classes.

[ { "created": "Fri, 15 Mar 2002 17:11:45 GMT", "version": "v1" }, { "created": "Mon, 5 Aug 2002 18:10:03 GMT", "version": "v2" } ]

2010-11-19

[ [ "Hull", "C. M.", "" ] ]

Generalised Scherk-Schwarz reductions in which compactification on a circle is accompanied by a twist with an element of a global symmetry G typically lead to gauged supergravities and are classified by the monodromy matrices, up to conjugation by the global symmetry. For compactifications of IIB supergravity on a circle, G=SL(2,R) and there are three distinct gauged supergravities that result, corresponding to monodromies in the three conjugacy classes of SL(2,R). There is one gauging of the compact SO(2) subgroup of the SL(2,R) and two distinct gaugings of non-compact SO(1,1) subgroups, embedded differently in SL(2,R). The non-compact gaugings can be obtained from the compact one via an analytic continuation of the kind used in D=4 gauged supergravities. For the superstring, the monodromy must be in SL(2,Z), and the distinct theories correspond to SL(2,Z) conjugacy classes. The theories consist of two infinite classes with quantised mass parameter m=1,2,3,..., three exceptional theories corresponding to elliptic conjugacy classes, and a set of sporadic theories corresponding to hyperbolic conjugacy classes.

6.034584

5.964974

6.433144

5.810747

5.93707

5.902566

6.035581

5.995714

5.976855

7.742158

5.770411

5.728616

5.82764

5.703372

5.727989

5.766646

5.760131

5.728415

5.863448

5.721263

5.605902

1205.4409

Branko Dragovich

Towards p-Adic Matter in the Universe

13 pages; 2 figures; to appear in Springer Proceedings in Mathematics

null

10.1007/978-4-431-54270-4_2

null

hep-th astro-ph.CO math-ph math.MP

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

Starting from p-adic string theory with tachyons, we introduce a new kind of non-tachyonic matter which may play an important role in evolution of the Universe. This matter retains nonlocal and nonlinear p-adic string dynamics, but does not suffer of negative square mass. In space-time dimensions D = 2 + 4k, what includes D = 6, 10, ..., 26, the kinetic energy term also maintains correct sign. In these spaces this p-adic matter provides negative cosmological constant and time-dependent scalar field solution with negative potential. Their possible cosmological role is discussed. We have also connected non-locality with string world-sheet in effective Lagrangian for p-adic string.

[ { "created": "Sun, 20 May 2012 12:07:50 GMT", "version": "v1" } ]

2017-01-10

[ [ "Dragovich", "Branko", "" ] ]

Starting from p-adic string theory with tachyons, we introduce a new kind of non-tachyonic matter which may play an important role in evolution of the Universe. This matter retains nonlocal and nonlinear p-adic string dynamics, but does not suffer of negative square mass. In space-time dimensions D = 2 + 4k, what includes D = 6, 10, ..., 26, the kinetic energy term also maintains correct sign. In these spaces this p-adic matter provides negative cosmological constant and time-dependent scalar field solution with negative potential. Their possible cosmological role is discussed. We have also connected non-locality with string world-sheet in effective Lagrangian for p-adic string.

15.2497

15.444511

15.386708

14.605727

14.192716

14.458239

13.558051

15.345751

14.147515

15.872981

14.291227

14.536839

14.139025

13.891811

14.795182

14.338147

14.833038

15.134442

14.853644

14.429969

14.545215

1305.4950

Nima Khosravi

Nima Khosravi (AIMS, Cape Town), Gustavo Niz (ICG, Portsmouth and Guanajuato U.), Kazuya Koyama (ICG, Portsmouth), Gianmassimo Tasinato (ICG, Portsmouth)

Stability of the Self-accelerating Universe in Massive Gravity

references added; accepted for publication in JCAP

null

10.1088/1475-7516/2013/08/044

null

hep-th astro-ph.CO gr-qc

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

We study linear perturbations around time dependent spherically symmetric solutions in the Lambda_3 massive gravity theory, which self-accelerate in the vacuum. We find that the dynamics of the scalar perturbations depend on the coordinate choice for the background solutions. For particular choices of coordinates there is a symmetry enhancement, leaving no propagating scalar degrees of freedom at linear order in perturbations. In contrast, any other coordinate choice propagates a single scalar mode. We find that the Hamiltonian of this scalar mode is unbounded from below for all self-accelerating solutions, signalling an instability.

[ { "created": "Tue, 21 May 2013 20:18:37 GMT", "version": "v1" }, { "created": "Tue, 13 Aug 2013 13:16:01 GMT", "version": "v2" } ]

2015-06-16

[ [ "Khosravi", "Nima", "", "AIMS, Cape Town" ], [ "Niz", "Gustavo", "", "ICG, Portsmouth and\n Guanajuato U." ], [ "Koyama", "Kazuya", "", "ICG, Portsmouth" ], [ "Tasinato", "Gianmassimo", "", "ICG,\n Portsmouth" ] ]

We study linear perturbations around time dependent spherically symmetric solutions in the Lambda_3 massive gravity theory, which self-accelerate in the vacuum. We find that the dynamics of the scalar perturbations depend on the coordinate choice for the background solutions. For particular choices of coordinates there is a symmetry enhancement, leaving no propagating scalar degrees of freedom at linear order in perturbations. In contrast, any other coordinate choice propagates a single scalar mode. We find that the Hamiltonian of this scalar mode is unbounded from below for all self-accelerating solutions, signalling an instability.

8.376675

8.022074

7.39923

7.357256

7.52862

8.284356

7.446022

7.470825

7.322366

7.824298

7.316462

7.521319

7.720698

7.273141

7.345123

7.470455

7.428289

7.421891

7.522117

7.417384

7.378094

0707.2511

Stefan Fredenhagen

Stefan Fredenhagen, Matthias R. Gaberdiel, Christoph A. Keller

Symmetries of perturbed conformal field theories

30 pages, 3 figures. V2: Small error in eq. (2.14) corrected

J.Phys.A40:13685-13710,2007

10.1088/1751-8113/40/45/012

AEI-2007-098

hep-th

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

The symmetries of perturbed conformal field theories are analysed. We explain which generators of the chiral algebras of a bulk theory survive a perturbation by an exactly marginal bulk field. We also study the behaviour of D-branes under current-current bulk deformations. We find that the branes always continue to preserve as much symmetry as they possibly can, i.e. as much as is preserved in the bulk. We illustrate these findings with several examples, including permutation branes in WZW models and B-type D-branes in Gepner models.

[ { "created": "Tue, 17 Jul 2007 13:16:21 GMT", "version": "v1" }, { "created": "Sun, 20 Jul 2008 07:18:10 GMT", "version": "v2" } ]

2008-11-26

[ [ "Fredenhagen", "Stefan", "" ], [ "Gaberdiel", "Matthias R.", "" ], [ "Keller", "Christoph A.", "" ] ]

The symmetries of perturbed conformal field theories are analysed. We explain which generators of the chiral algebras of a bulk theory survive a perturbation by an exactly marginal bulk field. We also study the behaviour of D-branes under current-current bulk deformations. We find that the branes always continue to preserve as much symmetry as they possibly can, i.e. as much as is preserved in the bulk. We illustrate these findings with several examples, including permutation branes in WZW models and B-type D-branes in Gepner models.

8.89775

9.421284

10.649344

8.659743

9.563093

8.913031

9.433421

8.021929

8.320612

11.090837

8.009722

8.170215

9.474548

8.361126

8.246937

8.169429

8.2203

8.186105

8.616906

8.979937

8.098637

1905.01543

Emel Altas

Second Order Gauge Invariant Perturbation Theory and Conserved Charges in Cosmological Einstein's Gravity

19 pages

null

hep-th math-ph math.MP

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

Recently a new approach in constructing the conserved charges in cosmological Einstein's gravity was given. In this new formulation, instead of using the explicit form of the field equations a covariantly conserved rank four tensor was used. In the resulting charge expression, instead of the first derivative of the metric perturbation, the linearized Riemann tensor appears along with the derivative of the background Killing vector fields. Here we give a detailed analysis of the first order and the second order perturbation theory in a gauge-invariant form in cosmological Einstein's gravity. The linearized Einstein tensor is gauge-invariant at the first order but it is not so at the second order, which complicates the discussion. This method depends on the assumption that the first order metric perturbation can be decomposed into gauge-variant and gauge-invariant parts and the gauge-variant parts do not contribute to physical quantities.

[ { "created": "Sat, 4 May 2019 19:17:15 GMT", "version": "v1" } ]

2019-05-07

[ [ "Altas", "Emel", "" ] ]

Recently a new approach in constructing the conserved charges in cosmological Einstein's gravity was given. In this new formulation, instead of using the explicit form of the field equations a covariantly conserved rank four tensor was used. In the resulting charge expression, instead of the first derivative of the metric perturbation, the linearized Riemann tensor appears along with the derivative of the background Killing vector fields. Here we give a detailed analysis of the first order and the second order perturbation theory in a gauge-invariant form in cosmological Einstein's gravity. The linearized Einstein tensor is gauge-invariant at the first order but it is not so at the second order, which complicates the discussion. This method depends on the assumption that the first order metric perturbation can be decomposed into gauge-variant and gauge-invariant parts and the gauge-variant parts do not contribute to physical quantities.

7.909156

8.135075

7.691179

7.358802

8.400183

7.957766

8.851561

7.298615

7.836054

8.068362

8.136778

7.719666

7.529808

7.54612

7.654216

7.601761

7.749952

7.643668

7.629829

7.494574

7.501449

hep-th/0206180

Mirjam Cvetic

Francisco A. Brito, Mirjam Cvetic, and Asad Naqvi

Brane Resolution and Gravitational Chern-Simons terms

22 pages

Class.Quant.Grav.20:285-301,2003

10.1088/0264-9381/20/2/303

UPR-1001-T,NI02017-MTH

hep-th

null

We show that gravitational Chern-Simons corrections, associated with the sigma-model anomaly on the M5-brane world-volume, can resolve the singularity of the M2-brane solution with Ricci-flat, special holonomy transverse space. We explicitly find smooth solutions in the cases when the transverse space is a manifold of Spin(7) holonomy and SU(4) holonomy. We comment on the consequences of these results for the holographically related three-dimensional theories living on the world volume of a stack of such resolved M2-branes.

[ { "created": "Wed, 19 Jun 2002 19:53:30 GMT", "version": "v1" }, { "created": "Wed, 26 Jun 2002 21:55:06 GMT", "version": "v2" }, { "created": "Wed, 2 Apr 2003 15:23:57 GMT", "version": "v3" } ]

2009-09-17

[ [ "Brito", "Francisco A.", "" ], [ "Cvetic", "Mirjam", "" ], [ "Naqvi", "Asad", "" ] ]

We show that gravitational Chern-Simons corrections, associated with the sigma-model anomaly on the M5-brane world-volume, can resolve the singularity of the M2-brane solution with Ricci-flat, special holonomy transverse space. We explicitly find smooth solutions in the cases when the transverse space is a manifold of Spin(7) holonomy and SU(4) holonomy. We comment on the consequences of these results for the holographically related three-dimensional theories living on the world volume of a stack of such resolved M2-branes.

7.615531

6.962993

8.99731

6.969032

7.616635

6.514971

6.856534

7.173128

6.594939

10.267975

7.217439

7.27117

7.982205

7.093903

7.413798

7.077988

7.046518

7.148143

7.129062

8.032981

7.107343

hep-th/9812022

Stefano Arnone

S. Arnone, C. Fusi and K. Yoshida

Exact renormalization group equation in presence of rescaling anomaly

19 pages, no figures; an appendix and reference added; typos corrected

JHEP 9902:022,1999

10.1088/1126-6708/1999/02/022

null

hep-th

null

Wilson's approach to renormalization group is reanalyzed for supersymmetric Yang-Mills theory. Usual demonstration of exact renormalization group equation must be modified due to the presence of the so called Konishi anomaly under the rescaling of superfields. We carry out the explicit computation for N=1 SUSY Yang-Mills theory with the simpler, gauge invariant regularization method, recently proposed by Arkani-Hamed and Murayama. The result is that the Wilsonian action S_M consists of two terms, i.e. the non anomalous term, which obeys Polchinski's flow equation and Fujikawa-Konishi determinant contribution. This latter is responsible for Shifman-Vainshtein relation of exact beta-function.

[ { "created": "Wed, 2 Dec 1998 14:17:45 GMT", "version": "v1" }, { "created": "Thu, 17 Dec 1998 12:18:07 GMT", "version": "v2" } ]

2016-09-06

[ [ "Arnone", "S.", "" ], [ "Fusi", "C.", "" ], [ "Yoshida", "K.", "" ] ]

Wilson's approach to renormalization group is reanalyzed for supersymmetric Yang-Mills theory. Usual demonstration of exact renormalization group equation must be modified due to the presence of the so called Konishi anomaly under the rescaling of superfields. We carry out the explicit computation for N=1 SUSY Yang-Mills theory with the simpler, gauge invariant regularization method, recently proposed by Arkani-Hamed and Murayama. The result is that the Wilsonian action S_M consists of two terms, i.e. the non anomalous term, which obeys Polchinski's flow equation and Fujikawa-Konishi determinant contribution. This latter is responsible for Shifman-Vainshtein relation of exact beta-function.

12.53256

12.548751

13.358276

11.340904

12.14957

12.36727

11.052518

11.565733

11.331123

13.002092

11.170578

11.332293

11.222076

11.057367

11.02405

11.258297

11.231964

11.448019

11.154708

11.125195

10.983386

hep-th/0006106

null

J.M. Gracia-Bondia (Mainz Univ.), S. Lazzarini (CPT-Marseille)

Connes-Kreimer-Epstein-Glaser Renormalization

LaTeX, 34 pages, 8 included figures, Fig.5 has been changed, some improvements and one added reference

null

CPT-2000/P.4013, FT/UCM-44-2000, MZ-TH/00-30

hep-th

null

Causal perturbative renormalization within the recursive Epstein-Glaser scheme involves extending, at each order, time-ordered operator-valued distributions to coinciding points. This is achieved by a generalized Taylor subtraction on test functions, which is transposed to distributions. We show how the Epstein-Glaser recursive construction can, by means of a slight modification of the Hopf algebra of Feynman graphs, be recast in terms of the new Connes-Kreimer algebraic setup for renormalization. This is illustrated for $\phi^4_4$-theory.

[ { "created": "Thu, 15 Jun 2000 09:55:44 GMT", "version": "v1" }, { "created": "Tue, 11 Jul 2000 09:53:55 GMT", "version": "v2" } ]

2007-05-23

[ [ "Gracia-Bondia", "J. M.", "", "Mainz Univ." ], [ "Lazzarini", "S.", "", "CPT-Marseille" ] ]

Causal perturbative renormalization within the recursive Epstein-Glaser scheme involves extending, at each order, time-ordered operator-valued distributions to coinciding points. This is achieved by a generalized Taylor subtraction on test functions, which is transposed to distributions. We show how the Epstein-Glaser recursive construction can, by means of a slight modification of the Hopf algebra of Feynman graphs, be recast in terms of the new Connes-Kreimer algebraic setup for renormalization. This is illustrated for $\phi^4_4$-theory.

11.299198

9.89279

10.744298

9.756604

10.100456

10.821546

9.062859

9.752263

10.34855

12.845029

9.468808

9.441434

10.349974

9.631435

9.806828

9.439781

9.602232

9.424584

9.397283

10.781331

9.012325

hep-th/9707197

Nick Evans

Nick Evans (Boston University)

Softly Broken SQCD: in the Continuum, on the Lattice, on the Brane

8 pages, Latex, espcrc2, 2 figs, talk presented at SUSY 97, reference added

Nucl.Phys.Proc.Suppl. 62 (1998) 331-338

10.1016/S0920-5632(97)00675-0

BUHEP-97-21

hep-th

null

We review progress in studying the solutions of SQCD in the presence of explicit, soft SUSY breaking terms. Massive N=1 SQCD in the presence of a small gaugino mass leads to a controlled solution which has interesting phase structure with changing theta angle reminiscent of the QCD chiral Lagrangian. Current attempts to test the solutions of pure glue SQCD on the lattice require a theoretical understanding of the theory with small gaugino mass in order to understand the approach to the SUSY point. We provide such a description making predictions for the gaugino condensate and lightest bound state masses. Finally we briefly review recent D-brane constructions of 4D gauge theories in string theory including a non-supersymmetric configuration. We identify this configuration with softly broken N=2 SQCD.

[ { "created": "Wed, 23 Jul 1997 15:43:25 GMT", "version": "v1" }, { "created": "Mon, 28 Jul 1997 15:54:09 GMT", "version": "v2" } ]

2009-10-30

[ [ "Evans", "Nick", "", "Boston University" ] ]

We review progress in studying the solutions of SQCD in the presence of explicit, soft SUSY breaking terms. Massive N=1 SQCD in the presence of a small gaugino mass leads to a controlled solution which has interesting phase structure with changing theta angle reminiscent of the QCD chiral Lagrangian. Current attempts to test the solutions of pure glue SQCD on the lattice require a theoretical understanding of the theory with small gaugino mass in order to understand the approach to the SUSY point. We provide such a description making predictions for the gaugino condensate and lightest bound state masses. Finally we briefly review recent D-brane constructions of 4D gauge theories in string theory including a non-supersymmetric configuration. We identify this configuration with softly broken N=2 SQCD.

12.444362

12.824689

13.691482

12.630897

12.783945

13.399843

13.029418

11.34693

12.454264

14.812982

12.527565

12.442042

12.773676

11.981909

12.450621

12.475055

12.330866

12.481472

12.34065

12.353971

11.985035

0805.3125

Chethan Krishnan

Chethan Krishnan, Carlo Maccaferri

Membranes on Calibrations

9 pages, no figures; references added, minor changes

JHEP 0807:005,2008

10.1088/1126-6708/2008/07/005

null

hep-th

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

M2-branes can blow up into BPS funnels that end on calibrated intersections of M5-branes. In this quick note, we make the observation that the constraints required for the consistency of these solutions are automatic in Bagger-Lambert-Gustavsson (BLG) theory, thanks to the fundamental identity and the supersymmetry of the calibration. We use this to explain how the previous ad hoc fuzzy funnel constructions emerge in this picture, and make some comments about the role of the 3-algebra trace form in the derivation.

[ { "created": "Tue, 20 May 2008 17:40:53 GMT", "version": "v1" }, { "created": "Mon, 9 Jun 2008 13:20:03 GMT", "version": "v2" } ]

2009-11-10

[ [ "Krishnan", "Chethan", "" ], [ "Maccaferri", "Carlo", "" ] ]

M2-branes can blow up into BPS funnels that end on calibrated intersections of M5-branes. In this quick note, we make the observation that the constraints required for the consistency of these solutions are automatic in Bagger-Lambert-Gustavsson (BLG) theory, thanks to the fundamental identity and the supersymmetry of the calibration. We use this to explain how the previous ad hoc fuzzy funnel constructions emerge in this picture, and make some comments about the role of the 3-algebra trace form in the derivation.

13.825283

12.504004

14.508091

10.724876

12.148955

11.223767

12.780405

11.315573

11.270828

16.94973

11.150147

12.087075

13.620787

12.005045

11.778109

11.654366

11.901545

12.137424

12.094962

13.572049

12.203634

hep-th/0201072

Arjan Keurentjes

Flat connections from flat gerbes

LaTex, 6 pages, contributed to the proceedings of the RTN meeting ``The Quantum Structure of Spacetime and the Geometric Nature of Fundamental Interactions'', (Corfu, September 2001)

Fortsch.Phys.50:916-922,2002

10.1002/1521-3978(200209)50:8/9<916::AID-PROP916>3.0.CO;2-R

LPTENS-02/02, PAR-LPTHE 02-01

hep-th

null

We discuss some aspects of heterotic-Type I duality. We focus on toroidal compactification, with special attention for the topology of the gauge group, and the topology of the bundle. We review the arguments leading to a classification of Spin(32)/Z_2-bundles over tori, suitable for string compactifications. A central role is played by n-gerbes with connection, a generalization of bundles with connection.

[ { "created": "Fri, 11 Jan 2002 13:08:12 GMT", "version": "v1" } ]

2015-06-26

[ [ "Keurentjes", "Arjan", "" ] ]

We discuss some aspects of heterotic-Type I duality. We focus on toroidal compactification, with special attention for the topology of the gauge group, and the topology of the bundle. We review the arguments leading to a classification of Spin(32)/Z_2-bundles over tori, suitable for string compactifications. A central role is played by n-gerbes with connection, a generalization of bundles with connection.

9.867364

8.670771

13.098829

8.681297

8.951536

8.832786

9.271456

8.531007

8.839423

12.190836

9.137469

9.146825

9.368806

8.869125

8.612168

8.582542

9.084833

8.990913

8.942739

10.101655

8.945647

2010.00172

Andre Alves Lima

A.A. Lima, G.M. Sotkov, M. Stanishkov

Renormalization of Twisted Ramond Fields in D1-D5 SCFT$_2$

V1 - 47 pages, 3 figures; V2 - 48 pages, 3 figures; improved version; to appear in JHEP

null

10.1007/JHEP03(2021)202

null

hep-th gr-qc

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

We explore the Ramond sector of the deformed two-dimensional $\cal N = (4, 4)$ superconformal $(T^4)^N /S_N$ orbifold theory, describing bound states of D1-D5 brane system in type IIB superstring. We derive the large-$N$ limit of the four-point function of two R-charged twisted Ramond fields and two marginal deformation operators at the free orbifold point. Specific short-distance limits of this function provide several structure constants, the OPE fusion rules and the conformal dimensions of a few non-BPS operators. The second order correction (in the deformation parameter) to the two-point function of the Ramond fields, defined as double integrals over this four-point function, turns out to be UV-divergent, requiring an appropriate renormalization of the fields. We calculate the corrections to the conformal dimensions of the twisted Ramond ground states at the large-$N$ limit. The same integral yields the first-order deviation from zero of the structure constant of the three-point function of two Ramond fields and one deformation operator. Similar results concerning the correction to the two-point function of bare twist operators and their renormalization are also obtained.

[ { "created": "Thu, 1 Oct 2020 01:58:09 GMT", "version": "v1" }, { "created": "Wed, 17 Feb 2021 22:53:19 GMT", "version": "v2" } ]

2021-04-07

[ [ "Lima", "A. A.", "" ], [ "Sotkov", "G. M.", "" ], [ "Stanishkov", "M.", "" ] ]

We explore the Ramond sector of the deformed two-dimensional $\cal N = (4, 4)$ superconformal $(T^4)^N /S_N$ orbifold theory, describing bound states of D1-D5 brane system in type IIB superstring. We derive the large-$N$ limit of the four-point function of two R-charged twisted Ramond fields and two marginal deformation operators at the free orbifold point. Specific short-distance limits of this function provide several structure constants, the OPE fusion rules and the conformal dimensions of a few non-BPS operators. The second order correction (in the deformation parameter) to the two-point function of the Ramond fields, defined as double integrals over this four-point function, turns out to be UV-divergent, requiring an appropriate renormalization of the fields. We calculate the corrections to the conformal dimensions of the twisted Ramond ground states at the large-$N$ limit. The same integral yields the first-order deviation from zero of the structure constant of the three-point function of two Ramond fields and one deformation operator. Similar results concerning the correction to the two-point function of bare twist operators and their renormalization are also obtained.

7.993855

7.34212

9.272497

7.458194

7.349661

7.571259

7.298853

7.177476

7.188156

10.878308

7.61969

7.852525

8.563462

7.979916

8.120597

8.056813

7.77208

8.026174

8.031451

8.555477

7.91127

0801.0827

Ichiro Oda

Masahiro Maeno and Ichiro Oda

Classical Solutions of Ghost Condensation Models

9 pages, no figures

Mod.Phys.Lett.B22:3025-3034,2009

10.1142/S0217984908017655

null

hep-th

null

Motivated by ideas obtained from both ghost condensation and gravitational Higgs mechanism, we attempt to find classical solutions in the unitary gauge in general ghost condensation models. It is shown that depending on the form of scalar fields in an action, there are three kinds of exact solutions, which are (anti-) de Sitter space-time, polynomially expanding universes and flat Minkowski space-time. We briefly comment on gravitational Higgs mechanism in these models where we have massive gravitons of 5 degrees of freedom and 1 unitary scalar field (Nambu-Goldstone boson) after spontaneous symmetry breakdown of general coordinate reparametrization invariance. The models at hand are free from the problem associated with the non-unitary propagating mode.

[ { "created": "Sat, 5 Jan 2008 20:21:36 GMT", "version": "v1" } ]

2009-02-10

[ [ "Maeno", "Masahiro", "" ], [ "Oda", "Ichiro", "" ] ]

Motivated by ideas obtained from both ghost condensation and gravitational Higgs mechanism, we attempt to find classical solutions in the unitary gauge in general ghost condensation models. It is shown that depending on the form of scalar fields in an action, there are three kinds of exact solutions, which are (anti-) de Sitter space-time, polynomially expanding universes and flat Minkowski space-time. We briefly comment on gravitational Higgs mechanism in these models where we have massive gravitons of 5 degrees of freedom and 1 unitary scalar field (Nambu-Goldstone boson) after spontaneous symmetry breakdown of general coordinate reparametrization invariance. The models at hand are free from the problem associated with the non-unitary propagating mode.

9.976929

9.405773

10.35833

8.73967

9.320419

9.290884

9.422998

9.453872

9.204505

10.580731

8.925736

9.646452

9.867291

9.787688

9.528363

9.619773

9.671707

9.443521

9.45056

9.919155

9.348821

hep-th/0003130

Parameswaran Nair

R. Jackiw and V.P. Nair

Anyon spin and the exotic central extension of the planar Galilei group

LaTeX (revtex macros), 4 pages, references added

Phys.Lett. B480 (2000) 237-238

10.1016/S0370-2693(00)00379-8

MIT-CTP-2960

hep-th

null

We show that the second central extension of the Galilei group in (2+1) dimensions corresponds to spin, which can be any real number.

[ { "created": "Wed, 15 Mar 2000 15:41:30 GMT", "version": "v1" }, { "created": "Fri, 17 Mar 2000 15:05:04 GMT", "version": "v2" } ]

2009-10-31

[ [ "Jackiw", "R.", "" ], [ "Nair", "V. P.", "" ] ]

We show that the second central extension of the Galilei group in (2+1) dimensions corresponds to spin, which can be any real number.

13.575286

8.399372

12.526577

7.366282

7.316175

7.359791

6.764568

7.753618

7.458385

13.23557

6.83859

8.123512

12.243706

10.311786

9.142163

9.559421

8.70268

9.528515

9.308531

11.702717

9.09268

1106.2646

Carlos Mafra

Carlos R. Mafra, Oliver Schlotterer, and Stephan Stieberger

Complete N-Point Superstring Disk Amplitude II. Amplitude and Hypergeometric Function Structure

68 pages, harvmac TeX

null

AEI--2011--35, MPP--2011--65

hep-th

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

Using the pure spinor formalism in part I [1] we compute the complete tree-level amplitude of N massless open strings and find a striking simple and compact form in terms of minimal building blocks: the full N-point amplitude is expressed by a sum over (N-3)! Yang-Mills partial subamplitudes each multiplying a multiple Gaussian hypergeometric function. While the former capture the space-time kinematics of the amplitude the latter encode the string effects. This result disguises a lot of structure linking aspects of gauge amplitudes as color and kinematics with properties of generalized Euler integrals. In this part II the structure of the multiple hypergeometric functions is analyzed in detail: their relations to monodromy equations, their minimal basis structure, and methods to determine their poles and transcendentality properties are proposed. Finally, a Groebner basis analysis provides independent sets of rational functions in the Euler integrals.

[ { "created": "Tue, 14 Jun 2011 09:32:14 GMT", "version": "v1" } ]

2011-06-15

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

Using the pure spinor formalism in part I [1] we compute the complete tree-level amplitude of N massless open strings and find a striking simple and compact form in terms of minimal building blocks: the full N-point amplitude is expressed by a sum over (N-3)! Yang-Mills partial subamplitudes each multiplying a multiple Gaussian hypergeometric function. While the former capture the space-time kinematics of the amplitude the latter encode the string effects. This result disguises a lot of structure linking aspects of gauge amplitudes as color and kinematics with properties of generalized Euler integrals. In this part II the structure of the multiple hypergeometric functions is analyzed in detail: their relations to monodromy equations, their minimal basis structure, and methods to determine their poles and transcendentality properties are proposed. Finally, a Groebner basis analysis provides independent sets of rational functions in the Euler integrals.

14.882277

14.98194

17.838381

13.747235

15.322699

14.664244

13.660284

14.538496

14.841174

18.128841

14.421946

13.914391

14.192553

13.659192

14.119341

14.124452

13.560169

13.916699

13.810263

14.478999

13.855367

hep-th/9612245

null

F. Toppan

Super--Toda Models Associated to Any (super--)Lie Algebras

13 pages, LaTex. Talk given at "X Born Symposium" held in Karpacz (Poland), September 1996. To appear in the Proceedings

null

hep-th

null

It is shown how to obtain superconformal Toda models as reductions of WZNW theories based on any Lie or super--Lie algebra.

[ { "created": "Sun, 29 Dec 1996 08:39:29 GMT", "version": "v1" } ]

2007-05-23

[ [ "Toppan", "F.", "" ] ]

It is shown how to obtain superconformal Toda models as reductions of WZNW theories based on any Lie or super--Lie algebra.

19.628088

11.968879

16.863619

10.783957

11.964816

10.376905

13.163197

11.244306

10.625517

19.717777

10.760209

13.087413

15.663019

13.762343

13.356286

13.092697

14.168716

13.166617

14.028117

16.609283

13.169742

hep-th/9302066

null

P. Caban, A. Dobrosielski, A. Krajewska, Z. Walczak

On the q-Deformed Hamiltonian Mechanics

11 pages, LaTeX, KFT UL 1/93

Phys.Lett. B327 (1994) 287-292

10.1016/0370-2693(94)90730-7

null

hep-th

null

We described the $q$-deformed phase space. The $q$-deformed Hamilton eqations of motion are derived and discussed. Some simple models are considered.

[ { "created": "Mon, 15 Feb 1993 10:20:44 GMT", "version": "v1" }, { "created": "Wed, 17 Feb 1993 09:31:30 GMT", "version": "v2" }, { "created": "Thu, 18 Feb 1993 15:17:02 GMT", "version": "v3" } ]

2009-10-22

[ [ "Caban", "P.", "" ], [ "Dobrosielski", "A.", "" ], [ "Krajewska", "A.", "" ], [ "Walczak", "Z.", "" ] ]

We described the $q$-deformed phase space. The $q$-deformed Hamilton eqations of motion are derived and discussed. Some simple models are considered.

13.648568

7.86758

10.374454

8.996111

8.45575

9.023675

8.906447

8.496914

8.665185

9.127841

8.832227

9.359111

10.673409

9.664552

9.860482

10.223651

9.423315

10.047357

9.711434

10.460918

9.502481

1712.00249

Sylvain Carrozza

Dario Benedetti, Sylvain Carrozza, Razvan Gurau, Maciej Kolanowski

The $1/N$ expansion of the symmetric traceless and the antisymmetric tensor models in rank three

40 pages, many figures

Commun. Math. Phys. (2019)

10.1007/s00220-019-03551-z

LPT-Orsay-17-77

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

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

We prove rigorously that the symmetric traceless and the antisymmetric tensor models in rank three with tetrahedral interaction admit a $1/N$ expansion, and that at leading order they are dominated by melon diagrams. This proves the recent conjecture of I. Klebanov and G. Tarnopolsky in JHEP 10 (2017) 037 [arXiv:1706.00839], which they checked numerically up to 8th order in the coupling constant.

[ { "created": "Fri, 1 Dec 2017 09:33:43 GMT", "version": "v1" }, { "created": "Tue, 23 Jan 2018 21:49:35 GMT", "version": "v2" } ]

2019-09-13

[ [ "Benedetti", "Dario", "" ], [ "Carrozza", "Sylvain", "" ], [ "Gurau", "Razvan", "" ], [ "Kolanowski", "Maciej", "" ] ]

We prove rigorously that the symmetric traceless and the antisymmetric tensor models in rank three with tetrahedral interaction admit a $1/N$ expansion, and that at leading order they are dominated by melon diagrams. This proves the recent conjecture of I. Klebanov and G. Tarnopolsky in JHEP 10 (2017) 037 [arXiv:1706.00839], which they checked numerically up to 8th order in the coupling constant.

4.998435

7.950852

8.667367

5.766514

7.456031

6.841351

5.904899

5.90405

5.918493

8.449769

6.058098

5.699584

6.420871

5.829324

5.725749

5.779075

5.809707

5.255984

5.672752

6.306287

5.660144

1006.0006

Steven Gubser

Steven S. Gubser

Symmetry constraints on generalizations of Bjorken flow

26 pages, 4 figures. v2: Minor revisions, a reference added

Phys.Rev.D82:085027,2010

10.1103/PhysRevD.82.085027

PUPT-2340

hep-th nucl-th

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

I explain a generalization of Bjorken flow where the medium has finite transverse size and expands both radially and along the beam axis. If one assumes that the equations of viscous hydrodynamics can be used, with p=epsilon/3 and zero bulk viscosity, then the flow I describe can be developed into an exact solution of the relativistic Navier-Stokes equations. The local four-velocity in the flow is entirely determined by the assumption of symmetry under a subgroup of the conformal group.

[ { "created": "Mon, 31 May 2010 20:06:53 GMT", "version": "v1" }, { "created": "Wed, 23 Jun 2010 00:34:09 GMT", "version": "v2" } ]

2015-03-17

[ [ "Gubser", "Steven S.", "" ] ]

I explain a generalization of Bjorken flow where the medium has finite transverse size and expands both radially and along the beam axis. If one assumes that the equations of viscous hydrodynamics can be used, with p=epsilon/3 and zero bulk viscosity, then the flow I describe can be developed into an exact solution of the relativistic Navier-Stokes equations. The local four-velocity in the flow is entirely determined by the assumption of symmetry under a subgroup of the conformal group.

10.628707

10.239424

11.349765

9.248861

9.27737

10.407929

10.804042

10.719657

10.285609

13.229506

9.301857

8.885378

10.749304

10.049628

9.379832

8.727391

9.447773

8.419708

9.93612

9.875003

8.489142

hep-th/9404001

Genadi A. Sardanashvily

G.Sardanashvily (Department of Theoretical Physics, Moscow State University, Moscow, Russia)

Multimomentum Hamiltonian Formalism in Quantum Field Theory

LaTeX Preprint MSU-TP-94-14

Int.J.Theor.Phys. 33 (1994) 2365-2380

10.1007/BF00673962

null

hep-th

null

The familiar generating functionals in quantum field theory fail to be true measures and, so they make the sense only in the framework of the perturbation theory. In our approach, generating functionals are defined strictly as the Fourier transforms of Gaussian measures in nuclear spaces of multimomentum canonical variables when field momenta correspond to derivatives of fields with respect to all world coordinates, not only to time.

[ { "created": "Fri, 1 Apr 1994 10:44:15 GMT", "version": "v1" } ]

2009-10-28

[ [ "Sardanashvily", "G.", "", "Department of Theoretical Physics, Moscow State\n University, Moscow, Russia" ] ]

The familiar generating functionals in quantum field theory fail to be true measures and, so they make the sense only in the framework of the perturbation theory. In our approach, generating functionals are defined strictly as the Fourier transforms of Gaussian measures in nuclear spaces of multimomentum canonical variables when field momenta correspond to derivatives of fields with respect to all world coordinates, not only to time.

24.608028

24.414234

22.224194

19.124554

24.574575

23.846292

23.193871

19.796883

21.289022

26.050903

20.248051

21.249113

21.806673

20.434196

20.090748

22.061729

22.382303

21.602983

21.627935

22.494875

21.937239

1010.0977

Hans Jockers

Murad Alim, Michael Hecht, Hans Jockers, Peter Mayr, Adrian Mertens, Masoud Soroush

Type II/F-theory Superpotentials with Several Deformations and N=1 Mirror Symmetry

62 pages; v2: typos corrected and references added

JHEP 1106:103,2011

10.1007/JHEP06(2011)103

LMU-ASC 74/10, SU-ITP-10/28, NSF-KITP-10-117

hep-th

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

We present a detailed study of D-brane superpotentials depending on several open and closed-string deformations. The relative cohomology group associated with the brane defines a generalized hypergeometric GKZ system which determines the off-shell superpotential and its analytic properties under deformation. Explicit expressions for the N=1 superpotential for families of type II/F-theory compactifications are obtained for a list of multi-parameter examples. Using the Hodge theoretic approach to open-string mirror symmetry, we obtain new predictions for integral disc invariants in the A model instanton expansion. We study the behavior of the brane vacua under extremal transitions between different Calabi-Yau spaces and observe that the web of Calabi-Yau vacua remains connected for a particular class of branes.

[ { "created": "Tue, 5 Oct 2010 18:48:48 GMT", "version": "v1" }, { "created": "Sat, 18 Jun 2011 22:24:43 GMT", "version": "v2" } ]

2011-06-28

[ [ "Alim", "Murad", "" ], [ "Hecht", "Michael", "" ], [ "Jockers", "Hans", "" ], [ "Mayr", "Peter", "" ], [ "Mertens", "Adrian", "" ], [ "Soroush", "Masoud", "" ] ]

We present a detailed study of D-brane superpotentials depending on several open and closed-string deformations. The relative cohomology group associated with the brane defines a generalized hypergeometric GKZ system which determines the off-shell superpotential and its analytic properties under deformation. Explicit expressions for the N=1 superpotential for families of type II/F-theory compactifications are obtained for a list of multi-parameter examples. Using the Hodge theoretic approach to open-string mirror symmetry, we obtain new predictions for integral disc invariants in the A model instanton expansion. We study the behavior of the brane vacua under extremal transitions between different Calabi-Yau spaces and observe that the web of Calabi-Yau vacua remains connected for a particular class of branes.

14.067669

13.687754

17.262886

13.145918

13.331366

13.753067

14.799081

13.518286

13.300302

18.308689

13.405793

13.759816

14.86747

12.946153

13.287085

13.691579

13.697159

14.042941

13.867158

14.459235

13.38437

hep-th/9511128

Martin Reuter

M.Reuter

Effective Average Action of Chern-Simons Field Theory

14 pages, latex

Phys.Rev. D53 (1996) 4430-4435

10.1103/PhysRevD.53.4430

DESY 95-111

hep-th

null

The renormalization of the Chern-Simons parameter is investigated by using an exact and manifestly gauge invariant evolution equation for the scale-dependent effective average action.

[ { "created": "Fri, 17 Nov 1995 10:14:17 GMT", "version": "v1" } ]

2009-10-28

[ [ "Reuter", "M.", "" ] ]

The renormalization of the Chern-Simons parameter is investigated by using an exact and manifestly gauge invariant evolution equation for the scale-dependent effective average action.

14.724309

9.414176

11.670788

9.123423

8.660534

8.198274

8.453601

9.61421

9.116313

13.288143

8.75489

11.148043

12.542361

10.882116

11.531223

10.678272

10.971698

11.728845

10.892551

12.738414

11.534313

hep-th/9906215

Joerg Teschner

J. Teschner

Operator product expansion and factorization in the $H_3^+$-WZNW model

28 pages, references added

Nucl.Phys. B571 (2000) 555-582

10.1016/S0550-3213(99)00785-3

DIAS-STP-99-07

hep-th

null

Precise descriptions are given for the operator product expansion of generic primary fields as well as the factorization of four point functions as sum over intermediate states. The conjecture underlying the recent derivation of the space-time current algebra for string theory on $ADS_3$ by Kutasov and Seiberg is thereby verified. The roles of microscopic and macroscopic states are further clarified. The present work provides the conformal field theory prerequisites for a future study of factorization of amplitudes for string theory on $ADS_3$ as well as operator product expansion in the corresponding conformal field theory on the boundary.

[ { "created": "Mon, 28 Jun 1999 14:28:34 GMT", "version": "v1" }, { "created": "Thu, 8 Jul 1999 19:36:26 GMT", "version": "v2" } ]

2009-10-31

[ [ "Teschner", "J.", "" ] ]

Precise descriptions are given for the operator product expansion of generic primary fields as well as the factorization of four point functions as sum over intermediate states. The conjecture underlying the recent derivation of the space-time current algebra for string theory on $ADS_3$ by Kutasov and Seiberg is thereby verified. The roles of microscopic and macroscopic states are further clarified. The present work provides the conformal field theory prerequisites for a future study of factorization of amplitudes for string theory on $ADS_3$ as well as operator product expansion in the corresponding conformal field theory on the boundary.

11.221562

10.00707

12.690511

9.972912

9.670926

9.897492

11.292863

9.940886

10.058062

12.589377

10.42431

9.921447

11.933196

10.522555

10.132161

9.870121

10.322321

9.657205

10.516266

11.399304

10.321793

hep-th/9911165

Shinji Mukohyama

Brane-world solutions, standard cosmology, and dark radiation

Latex, 5 pages; references are added, accepted for publication in Physics Letters B; references are added again

Phys.Lett. B473 (2000) 241-245

10.1016/S0370-2693(99)01505-1

null

hep-th gr-qc

null

New exact solutions of brane-world cosmology are given. These solutions include an arbitrary constant C, which is determined by the geometry outside the brane and which affects the cosmological evolution in the brane-world. If C is zero, then the standard cosmology governs the brane-world as a low-energy effective cosmological theory. However, if C is not zero, then even in low-energy the brane-world cosmology gives predictions different from the standard one. The difference can be understood as ``dark radiation'', which is not real radiation but alters cosmological evolutions.

[ { "created": "Mon, 22 Nov 1999 03:39:01 GMT", "version": "v1" }, { "created": "Thu, 16 Dec 1999 16:27:48 GMT", "version": "v2" }, { "created": "Fri, 17 Dec 1999 17:05:45 GMT", "version": "v3" } ]

2009-10-31

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

New exact solutions of brane-world cosmology are given. These solutions include an arbitrary constant C, which is determined by the geometry outside the brane and which affects the cosmological evolution in the brane-world. If C is zero, then the standard cosmology governs the brane-world as a low-energy effective cosmological theory. However, if C is not zero, then even in low-energy the brane-world cosmology gives predictions different from the standard one. The difference can be understood as ``dark radiation'', which is not real radiation but alters cosmological evolutions.

9.323437

8.724186

8.446875

8.016927

8.542204

8.554791

8.550003

8.132404

8.423347

9.077747

8.86203

8.30372

8.364356

8.562892

8.766991

8.399784

8.419452

8.375223

8.241906

8.750721

8.5952

hep-th/0409118

Sungho Hong

Sungho Hong (U. Pennsylvania and U. Washington), Sukjin Yoon (U. Washington) and Matthew J. Strassler (U. Washington)

On the Couplings of Vector Mesons in AdS/QCD

28 pages, 3 figures. ver 2: Comments about the commutability of two universal limits in the D3/D7 case corrected. Typos corrected. ver 3: Substantive revisions of certain calculations, with improved conventions, correction of typos, clarifications, new formulas, new figures; no changes in essential results or conclusions

JHEP 0604 (2006) 003

10.1088/1126-6708/2006/04/003

UW/PT 04-16, UPR-1090-T

hep-th hep-ph

null

We address, in the AdS/CFT context, the issue of the universality of the couplings of the rho meson to other hadrons. Exploring some models, we find that generically the rho-dominance prediction f_\rho g_{\rho H H}=m_\rho^2 does not hold, and that g_{\rho H H} is not independent of the hadron H. However, we prove that, in any model within the AdS/QCD context, there are two limiting regimes where the g_{\rho H H}, along with the couplings of all excited vector mesons as well, become H-independent: (1) when H is created by an operator of large dimension, and (2) when H is a highly-excited hadron. We also find a sector of a particular model where universality for the rho coupling is exact. Still, in none of these cases need it be true that f_\rho g_\rho=m_\rho^2, although we find empirically that the relation does hold approximately (up to a factor of order two) within the models we have studied.

[ { "created": "Fri, 10 Sep 2004 21:09:04 GMT", "version": "v1" }, { "created": "Thu, 16 Dec 2004 22:50:34 GMT", "version": "v2" }, { "created": "Mon, 19 Dec 2005 23:09:00 GMT", "version": "v3" } ]

2009-11-10

[ [ "Hong", "Sungho", "", "U. Pennsylvania and U. Washington" ], [ "Yoon", "Sukjin", "", "U.\n Washington" ], [ "Strassler", "Matthew J.", "", "U. Washington" ] ]

We address, in the AdS/CFT context, the issue of the universality of the couplings of the rho meson to other hadrons. Exploring some models, we find that generically the rho-dominance prediction f_\rho g_{\rho H H}=m_\rho^2 does not hold, and that g_{\rho H H} is not independent of the hadron H. However, we prove that, in any model within the AdS/QCD context, there are two limiting regimes where the g_{\rho H H}, along with the couplings of all excited vector mesons as well, become H-independent: (1) when H is created by an operator of large dimension, and (2) when H is a highly-excited hadron. We also find a sector of a particular model where universality for the rho coupling is exact. Still, in none of these cases need it be true that f_\rho g_\rho=m_\rho^2, although we find empirically that the relation does hold approximately (up to a factor of order two) within the models we have studied.

8.365469

9.739359

8.329466

7.825733

8.938842

9.455709

8.957791

8.538577

8.033997

8.861339

8.219103

8.152037

7.880359

8.044024

8.740076

8.060158

8.209602

8.052221

8.304463

8.527825

8.184477

hep-th/0405253

Jochen Zahn

Noncommutative Electrodynamics with covariant coordinates

5 pages, published version

Phys.Rev. D70 (2004) 107704

10.1103/PhysRevD.70.107704

DESY 04-091

hep-th

null

We study Noncommutative Electrodynamics using the concept of covariant coordinates. We propose a scheme for interpreting the formalism and construct two basic examples, a constant field and a plane wave. Superposing these two, we find a modification of the dispersion relation. Our results differ from those obtained via the Seiberg-Witten map.

[ { "created": "Thu, 27 May 2004 11:12:54 GMT", "version": "v1" }, { "created": "Wed, 2 Jun 2004 13:26:27 GMT", "version": "v2" }, { "created": "Tue, 3 Aug 2004 12:15:52 GMT", "version": "v3" }, { "created": "Thu, 13 Jan 2005 12:48:17 GMT", "version": "v4" } ]

2009-11-10

[ [ "Zahn", "Jochen", "" ] ]

We study Noncommutative Electrodynamics using the concept of covariant coordinates. We propose a scheme for interpreting the formalism and construct two basic examples, a constant field and a plane wave. Superposing these two, we find a modification of the dispersion relation. Our results differ from those obtained via the Seiberg-Witten map.

12.818187

10.987618

11.713595

10.992765

11.536236

10.725945

11.221478

10.470406

11.314939

11.680347

10.715587

11.126548

11.789201

11.265545

10.667407

11.488667

11.45042

11.29975

10.955862

11.521297

11.113053

2007.13747

Holmfridur Hannesdottir

Jacob L. Bourjaily, Holmfridur Hannesdottir, Andrew J. McLeod, Matthew D. Schwartz, Cristian Vergu

Sequential Discontinuities of Feynman Integrals and the Monodromy Group

98 pages

null

10.1007/JHEP01(2021)205

null

hep-th hep-ph

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

We generalize the relation between discontinuities of scattering amplitudes and cut diagrams to cover sequential discontinuities (discontinuities of discontinuities) in arbitrary momentum channels. The new relations are derived using time-ordered perturbation theory, and hold at phase-space points where all cut momentum channels are simultaneously accessible. As part of this analysis, we explain how to compute sequential discontinuities as monodromies and explore the use of the monodromy group in characterizing the analytic properties of Feynman integrals. We carry out a number of cross-checks of our new formulas in polylogarithmic examples, in some cases to all loop orders.

[ { "created": "Mon, 27 Jul 2020 18:00:00 GMT", "version": "v1" } ]

2021-02-24

[ [ "Bourjaily", "Jacob L.", "" ], [ "Hannesdottir", "Holmfridur", "" ], [ "McLeod", "Andrew J.", "" ], [ "Schwartz", "Matthew D.", "" ], [ "Vergu", "Cristian", "" ] ]

We generalize the relation between discontinuities of scattering amplitudes and cut diagrams to cover sequential discontinuities (discontinuities of discontinuities) in arbitrary momentum channels. The new relations are derived using time-ordered perturbation theory, and hold at phase-space points where all cut momentum channels are simultaneously accessible. As part of this analysis, we explain how to compute sequential discontinuities as monodromies and explore the use of the monodromy group in characterizing the analytic properties of Feynman integrals. We carry out a number of cross-checks of our new formulas in polylogarithmic examples, in some cases to all loop orders.

9.886217

9.796824

10.220504

9.308884

9.505753

10.062728

10.124619

9.859545

8.996319

10.099242

9.4938

9.197801

8.919771

8.860186

9.084474

9.294971

9.112953

8.960133

8.829256

9.213689

9.089871

hep-th/0008239

Diana Vaman

Iosif Bena, Horatiu Nastase and Diana Vaman

Propagators for p-forms in AdS_{2p+1} and correlation functions in the AdS_7/(2,0) CFT correspondence

21 pages, Latex file, one reference added

Phys.Rev. D64 (2001) 106009

10.1103/PhysRevD.64.106009

YITP-SB-00-50

hep-th

null

In AdS_{2p+1} we construct propagators for p-forms whose lagrangians contain terms of the form A / d A. In particular we explore the case of forms satisfying ``self duality in odd dimensions'', and the case of forms with a topological mass term. We point out that the ``complete'' set of maximally symmetric bitensors previously used in all the other propagator papers is incomplete - there exists another bitensor which can and does appear in the formulas for the propagators in this particular case. Nevertheless, its presence does not affect the other propagators computed so far. On the AdS side of the correspondence we compute the 2 and 3 point functions involving the self-dual tensor of the maximal 7d gauged supergravity (sugra), S_{\mu\nu\rho}. Since the 7 dimensional antisymmetric self-dual tensor obeys first order field equations (S + * d S=0), to get a nonvanishing 2 point function we add a certain boundary term (to satisfy the variational principle on a manifold with boundary) to the 7d action. The 3 point functions we compute are of the type SSB and SBB, describing vertex interactions with the gauge fields B_{\mu}.

[ { "created": "Wed, 30 Aug 2000 22:46:37 GMT", "version": "v1" }, { "created": "Fri, 6 Oct 2000 21:43:53 GMT", "version": "v2" } ]

2009-10-31

[ [ "Bena", "Iosif", "" ], [ "Nastase", "Horatiu", "" ], [ "Vaman", "Diana", "" ] ]

In AdS_{2p+1} we construct propagators for p-forms whose lagrangians contain terms of the form A / d A. In particular we explore the case of forms satisfying ``self duality in odd dimensions'', and the case of forms with a topological mass term. We point out that the ``complete'' set of maximally symmetric bitensors previously used in all the other propagator papers is incomplete - there exists another bitensor which can and does appear in the formulas for the propagators in this particular case. Nevertheless, its presence does not affect the other propagators computed so far. On the AdS side of the correspondence we compute the 2 and 3 point functions involving the self-dual tensor of the maximal 7d gauged supergravity (sugra), S_{\mu\nu\rho}. Since the 7 dimensional antisymmetric self-dual tensor obeys first order field equations (S + * d S=0), to get a nonvanishing 2 point function we add a certain boundary term (to satisfy the variational principle on a manifold with boundary) to the 7d action. The 3 point functions we compute are of the type SSB and SBB, describing vertex interactions with the gauge fields B_{\mu}.

12.450265

12.702307

13.434182

11.688528

12.897765

12.521659

13.699932

11.583914

12.683819

13.636949

12.636452

11.503098

12.714184

11.583621

11.683157

11.855264

12.14601

12.14769

12.318159

12.865497

11.804042

0801.2151

Subodh Patil

Subodh P. Patil

Degravitation, Inflation and the Cosmological Constant as an Afterglow

To appear in JCAP; sections discussing degravitation as a semi-classical effect and the modified Bianchi identities added

JCAP 0901:017,2009

10.1088/1475-7516/2009/01/017

null

hep-th astro-ph gr-qc

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

In this report, we adopt the phenomenological approach of taking the degravitation paradigm seriously as a consistent modification of gravity in the IR, and investigate its consequences for various cosmological situations. We motivate degravitation-- where Netwon's constant is promoted to a scale dependent filter function-- as arising from either a small (resonant) mass for the graviton, or as an effect in semi-classical gravity. After addressing how the Bianchi identities are to be satisfied in such a set up, we turn our attention towards the cosmological consequences of degravitation. By considering the example filter function corresponding to a resonantly massive graviton (with a filter scale larger than the present horizon scale), we show that slow roll inflation, hybrid inflation and old inflation remain quantitatively unchanged. We also find that the degravitation mechanism inherits a memory of past energy densities in the present epoch in such a way that is likely significant for present cosmological evolution. For example, if the universe underwent inflation in the past due to it having tunneled out of some false vacuum, we find that degravitation implies a remnant `afterglow' cosmological constant, whose scale immediately afterwards is parametrically suppressed by the filter scale ($L$) in Planck units $\Lambda \sim l^2_{pl}/L^2$. We discuss circumstances through which this scenario reasonably yields the presently observed value for $\Lambda \sim O(10^{-120})$. We also find that in a universe still currently trapped in some false vacuum state, resonance graviton models of degravitation only degravitate initially Planck or GUT scale energy densities down to the presently observed value over timescales comparable to the filter scale.

[ { "created": "Mon, 14 Jan 2008 20:51:23 GMT", "version": "v1" }, { "created": "Mon, 18 Aug 2008 20:30:52 GMT", "version": "v2" }, { "created": "Fri, 5 Dec 2008 14:38:29 GMT", "version": "v3" } ]

2009-02-24

[ [ "Patil", "Subodh P.", "" ] ]

In this report, we adopt the phenomenological approach of taking the degravitation paradigm seriously as a consistent modification of gravity in the IR, and investigate its consequences for various cosmological situations. We motivate degravitation-- where Netwon's constant is promoted to a scale dependent filter function-- as arising from either a small (resonant) mass for the graviton, or as an effect in semi-classical gravity. After addressing how the Bianchi identities are to be satisfied in such a set up, we turn our attention towards the cosmological consequences of degravitation. By considering the example filter function corresponding to a resonantly massive graviton (with a filter scale larger than the present horizon scale), we show that slow roll inflation, hybrid inflation and old inflation remain quantitatively unchanged. We also find that the degravitation mechanism inherits a memory of past energy densities in the present epoch in such a way that is likely significant for present cosmological evolution. For example, if the universe underwent inflation in the past due to it having tunneled out of some false vacuum, we find that degravitation implies a remnant `afterglow' cosmological constant, whose scale immediately afterwards is parametrically suppressed by the filter scale ($L$) in Planck units $\Lambda \sim l^2_{pl}/L^2$. We discuss circumstances through which this scenario reasonably yields the presently observed value for $\Lambda \sim O(10^{-120})$. We also find that in a universe still currently trapped in some false vacuum state, resonance graviton models of degravitation only degravitate initially Planck or GUT scale energy densities down to the presently observed value over timescales comparable to the filter scale.

11.397439

13.441589

13.330384

12.2754

13.031423

13.298456

14.392213

12.741078

13.121811

13.754339

12.417691

12.280075

12.288091

11.90544

11.836677

12.018273

12.185114

12.509424

12.002613

12.018139

11.932542

hep-th/9402051

Schwiebert

C. Schwiebert

Extended reflection equation algebras, the braid group on a handlebody and associated link polynomials

26 pages, 10 figures

J.Math.Phys. 35 (1994) 5288-5305

10.1063/1.530751

RIMS 965

hep-th math.QA

null

The correspondence of the braid group on a handlebody of arbitrary genus to the algebra of Yang-Baxter and extended reflection equation operators is shown. Representations of the infinite dimensional extended reflection equation algebra in terms of direct products of quantum algebra generators are derived, they lead to a representation of this braid group in terms of $R$-matrices. Restriction to the reflection equation operators only gives the coloured braid group. The reflection equation operators, describing the effect of handles attached to a 3-ball, satisfy characteristic equations which give rise to additional skein relations and thereby invariants of links on handlebodies. The origin of the skein relations is explained and they are derived from an adequately adapted handlebody version of the Jones polynomial. Relevance of these results to the construction of link polynomials on closed 3-manifolds via Heegard splitting and surgery is indicated.

[ { "created": "Wed, 9 Feb 1994 12:12:21 GMT", "version": "v1" } ]

2009-10-28

[ [ "Schwiebert", "C.", "" ] ]

The correspondence of the braid group on a handlebody of arbitrary genus to the algebra of Yang-Baxter and extended reflection equation operators is shown. Representations of the infinite dimensional extended reflection equation algebra in terms of direct products of quantum algebra generators are derived, they lead to a representation of this braid group in terms of $R$-matrices. Restriction to the reflection equation operators only gives the coloured braid group. The reflection equation operators, describing the effect of handles attached to a 3-ball, satisfy characteristic equations which give rise to additional skein relations and thereby invariants of links on handlebodies. The origin of the skein relations is explained and they are derived from an adequately adapted handlebody version of the Jones polynomial. Relevance of these results to the construction of link polynomials on closed 3-manifolds via Heegard splitting and surgery is indicated.

14.019016

11.857921

13.865812

12.871454

13.769823

15.95251

13.902431

13.041726

12.335214

15.62318

12.51799

12.441366

14.263133

12.607403

12.575335

12.698842

12.911876

13.002068

12.573221

13.973905

12.296111

hep-th/9812078

Andrei Mironov

H.W.Braden, A.Marshakov, A.Mironov, A.Morozov

Seiberg-Witten theory for a non-trivial compactification from five to four dimensions

10 pages, LaTeX, 2 figures using emlines.sty

Phys.Lett. B448 (1999) 195-202

10.1016/S0370-2693(99)00042-8

null

hep-th

null

The prepotential and spectral curve are described for a smooth interpolation between an enlarged N=4 SUSY and ordinary N=2 SUSY Yang-Mills theory in four dimensions, obtained by compactification from five dimensions with non-trivial (periodic and antiperiodic) boundary conditions. This system provides a new solution to the generalized WDVV equations. We show that this exhausts all possible solutions of a given functional form.

[ { "created": "Wed, 9 Dec 1998 15:04:25 GMT", "version": "v1" } ]

2009-10-31

[ [ "Braden", "H. W.", "" ], [ "Marshakov", "A.", "" ], [ "Mironov", "A.", "" ], [ "Morozov", "A.", "" ] ]

The prepotential and spectral curve are described for a smooth interpolation between an enlarged N=4 SUSY and ordinary N=2 SUSY Yang-Mills theory in four dimensions, obtained by compactification from five dimensions with non-trivial (periodic and antiperiodic) boundary conditions. This system provides a new solution to the generalized WDVV equations. We show that this exhausts all possible solutions of a given functional form.

13.453324

10.949872

14.025642

10.318347

10.606873

10.890824

11.307892

10.162069

11.094186

16.023487

11.31727

11.343178

11.919761

11.451458

11.460897

11.823499

11.378488

11.184155

11.205112

12.59798

11.966379

1808.05226

Niklas Garner

Tudor Dimofte, Niklas Garner

Coulomb Branches of Star-Shaped Quivers

63 pages + appendices; added references

null

10.1007/JHEP02(2019)004

null

hep-th math.QA math.RT

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

We study the Coulomb branches of 3d N=4 `star-shaped' quiver gauge theories and their deformation quantizations, by applying algebraic techniques that have been developed in the mathematics and physics literature over the last few years. The algebraic techniques supply an abelianization map, which embeds the Coulomb-branch chiral ring into a vastly simpler abelian algebra A. Relations among chiral-ring operators, and their deformation quantization, are canonically induced from the embedding into A. In the case of star-shaped quivers -- whose Coulomb branches are related to Higgs branches of 4d N=2 theories of Class S -- this allows us to systematically verify known relations, to generalize them, and to quantize them. In the quantized setting, we find several new families of relations.

[ { "created": "Wed, 15 Aug 2018 18:00:03 GMT", "version": "v1" }, { "created": "Fri, 7 Dec 2018 19:49:43 GMT", "version": "v2" } ]

2019-02-20

[ [ "Dimofte", "Tudor", "" ], [ "Garner", "Niklas", "" ] ]

We study the Coulomb branches of 3d N=4 `star-shaped' quiver gauge theories and their deformation quantizations, by applying algebraic techniques that have been developed in the mathematics and physics literature over the last few years. The algebraic techniques supply an abelianization map, which embeds the Coulomb-branch chiral ring into a vastly simpler abelian algebra A. Relations among chiral-ring operators, and their deformation quantization, are canonically induced from the embedding into A. In the case of star-shaped quivers -- whose Coulomb branches are related to Higgs branches of 4d N=2 theories of Class S -- this allows us to systematically verify known relations, to generalize them, and to quantize them. In the quantized setting, we find several new families of relations.

8.976456

8.461334

9.595677

8.288785

8.272862

8.235097

7.997508

7.510309

7.449096

10.345473

8.133599

8.074244

8.771491

7.835486

7.980436

7.775375

7.780592

7.802775

7.802434

8.40842

7.642296

1305.6939

Mehrdad Mirbabayi

Sergei Dubovsky, Victor Gorbenko, and Mehrdad Mirbabayi

Natural Tuning: Towards A Proof of Concept

25 pages, 6 figures

null

10.1007/JHEP09(2013)045

null

hep-th gr-qc hep-ph

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

The cosmological constant problem and the absence of new natural physics at the electroweak scale, if confirmed by the LHC, may either indicate that the nature is fine-tuned or that a refined notion of naturalness is required. We construct a family of toy UV complete quantum theories providing a proof of concept for the second possibility. Low energy physics is described by a tuned effective field theory, which exhibits relevant interactions not protected by any symmetries and separated by an arbitrary large mass gap from the new "gravitational" physics, represented by a set of irrelevant operators. Nevertheless, the only available language to describe dynamics at all energy scales does not require any fine-tuning. The interesting novel feature of this construction is that UV physics is not described by a fixed point, but rather exhibits asymptotic fragility. Observation of additional unprotected scalars at the LHC would be a smoking gun for this scenario. Natural tuning also favors TeV scale unification.

[ { "created": "Wed, 29 May 2013 20:11:07 GMT", "version": "v1" }, { "created": "Sun, 13 Oct 2013 19:33:52 GMT", "version": "v2" } ]

2015-06-16

[ [ "Dubovsky", "Sergei", "" ], [ "Gorbenko", "Victor", "" ], [ "Mirbabayi", "Mehrdad", "" ] ]

The cosmological constant problem and the absence of new natural physics at the electroweak scale, if confirmed by the LHC, may either indicate that the nature is fine-tuned or that a refined notion of naturalness is required. We construct a family of toy UV complete quantum theories providing a proof of concept for the second possibility. Low energy physics is described by a tuned effective field theory, which exhibits relevant interactions not protected by any symmetries and separated by an arbitrary large mass gap from the new "gravitational" physics, represented by a set of irrelevant operators. Nevertheless, the only available language to describe dynamics at all energy scales does not require any fine-tuning. The interesting novel feature of this construction is that UV physics is not described by a fixed point, but rather exhibits asymptotic fragility. Observation of additional unprotected scalars at the LHC would be a smoking gun for this scenario. Natural tuning also favors TeV scale unification.

12.294013

13.105602

12.289515

11.854782

13.072027

14.018145

12.726256

12.732278

12.611648

13.486453

12.491269

12.157182

12.023203

11.739115

11.970343

11.76733

11.581407

11.638396

11.955052

11.826651

12.068263

hep-th/0508135

Alexander Vilenkin

Cosmic strings: progress and problems

minor changes; added references

in "Inflating Horizons of Particle Astrophysics and Cosmology", ed. by H. Suzuki, J. Yokoyama, Y. Suto and K. Sato (Universal Academy Press, Tokyo, 2006)

null

hep-th astro-ph gr-qc

null

Recent developments in cosmic strings are reviewed, with emphasis on unresolved problems.

[ { "created": "Thu, 18 Aug 2005 22:31:51 GMT", "version": "v1" }, { "created": "Thu, 25 Aug 2005 16:43:59 GMT", "version": "v2" } ]

2007-06-20

[ [ "Vilenkin", "Alexander", "" ] ]

Recent developments in cosmic strings are reviewed, with emphasis on unresolved problems.

30.848516

21.171516

17.412329

14.976684

17.696453

17.974052

18.650698

14.922749

15.531068

14.43962

19.887915

23.188047

19.143795

17.633472

21.286839

21.745535

18.950569

21.960712

17.127369

19.64402

22.718748

1807.07058

Davide Fioravanti

Alfredo Bonini, Davide Fioravanti, Simone Piscaglia, Marco Rossi

$\mathcal{N} = 4$ polygonal Wilson loops: fermions

10 pages, Contribution to the Proceedings of the 10th International Symposium on 'Quantum theory and symmetries' (QTS-10), 19-25 June 2017, Varna, SPRINGER (partially based on the talk by DF)

Springer Proc., 2018

null

hep-th math-ph math.MP nlin.SI

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

The contributions of scalars and fermions to the null polygonal bosonic Wilson loops/gluon MHV scattering amplitudes in $\mathcal{N} = 4$ SYM are considered. We first examine the re-summation of scalars at strong coupling. Then, we disentangle the form of the fermion contribution and show its strong coupling expansion. In particular, we derive the leading order with the appearance of a fermion-anti-fermion bound state first and then effective multiple bound states thereof. This reproduces the string minimal area result and also applies to the Nekrasov instanton partition function $\mathcal{Z}$ of the $\mathcal{N}=2$ theories. Especially, in the latter case the method appears to be suitable for a systematic expansion.

[ { "created": "Wed, 18 Jul 2018 17:49:05 GMT", "version": "v1" } ]

2018-07-19

[ [ "Bonini", "Alfredo", "" ], [ "Fioravanti", "Davide", "" ], [ "Piscaglia", "Simone", "" ], [ "Rossi", "Marco", "" ] ]

The contributions of scalars and fermions to the null polygonal bosonic Wilson loops/gluon MHV scattering amplitudes in $\mathcal{N} = 4$ SYM are considered. We first examine the re-summation of scalars at strong coupling. Then, we disentangle the form of the fermion contribution and show its strong coupling expansion. In particular, we derive the leading order with the appearance of a fermion-anti-fermion bound state first and then effective multiple bound states thereof. This reproduces the string minimal area result and also applies to the Nekrasov instanton partition function $\mathcal{Z}$ of the $\mathcal{N}=2$ theories. Especially, in the latter case the method appears to be suitable for a systematic expansion.

11.208848

10.392035

12.75929

10.044729

10.88413

10.192398

10.50921

10.515004

9.990344

11.532475

10.283693

10.462974

10.545662

10.142817

10.062899

9.871581

10.010062

10.090893

10.384637

10.477565

10.053422

2101.03143

David Vegh

Relativistic membrane solutions in AdS$_4$

21 pages, 13 figures

null

QMUL-PH-21-02

hep-th

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

In this note we discuss various classical membrane solutions in AdS$_4$ spacetime: simple embeddings given by polynomials in ambient space, solutions with non-linear waves, and piecewise linear solutions.

[ { "created": "Fri, 8 Jan 2021 18:18:29 GMT", "version": "v1" } ]

2021-01-11

[ [ "Vegh", "David", "" ] ]

In this note we discuss various classical membrane solutions in AdS$_4$ spacetime: simple embeddings given by polynomials in ambient space, solutions with non-linear waves, and piecewise linear solutions.

38.910259

24.546463

30.831501

23.134501

24.874987

25.981531

27.806074

22.449543

25.02253

37.02227

25.286688

24.671133

30.239182

24.946117

25.322594

25.2015

26.973467

26.694281

25.731544

28.23139

24.639469

hep-th/0508195

Daniel Luiz Nedel

M. C. B Abdalla, A. L. Gadelha and Daniel L. Nedel

PP-Wave Light-Cone Free String Field Theory at Finite Temperature

27 pages, revtex4

JHEP 0510 (2005) 063

10.1088/1126-6708/2005/10/063

null

hep-th

null

In this paper, a real-time formulation of light-cone pp-wave string field theory at finite temperature is presented. This is achieved by developing the thermo field dynamics (TFD) formalism in a second quantized string scenario. The equilibrirum thermodynamic quantities for a pp-wave ideal string gas are derived directly from expectation values on the second quantized string thermal vacuum. Also, we derive the real-time thermal pp-wave closed string propagator. In the flat space limit it is shown that this propagator can be written in terms of Theta functions, exactly as the zero temperature one. At the end, we show how supestrings interactions can be introduced, making this approach suitable to study the BMN dictionary at finite temperature.

[ { "created": "Thu, 25 Aug 2005 22:06:50 GMT", "version": "v1" } ]

2009-11-11

[ [ "Abdalla", "M. C. B", "" ], [ "Gadelha", "A. L.", "" ], [ "Nedel", "Daniel L.", "" ] ]

In this paper, a real-time formulation of light-cone pp-wave string field theory at finite temperature is presented. This is achieved by developing the thermo field dynamics (TFD) formalism in a second quantized string scenario. The equilibrirum thermodynamic quantities for a pp-wave ideal string gas are derived directly from expectation values on the second quantized string thermal vacuum. Also, we derive the real-time thermal pp-wave closed string propagator. In the flat space limit it is shown that this propagator can be written in terms of Theta functions, exactly as the zero temperature one. At the end, we show how supestrings interactions can be introduced, making this approach suitable to study the BMN dictionary at finite temperature.

13.157621

12.187305

12.74821

12.319284

11.810812

12.139644

12.473606

12.203393

11.839444

13.105256

11.308984

12.312963

12.287985

11.519691

11.802817

11.99142

11.961037

11.430536

11.692264

12.193353

12.309058

1905.10740

Amin Faraji Astaneh

Mohsen Alishahiha, Amin Faraji Astaneh

Complexity of Hyperscaling Violating Theories at Finite Cutoff

14 pages, 1 figure; to appear in PRD

Phys. Rev. D 100, 086004 (2019)

10.1103/PhysRevD.100.086004

null

hep-th

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

Using the complexity equals action proposal we study holographic complexity for hyperscaling violating theories in the presence of a finite cutoff that, in turns, requires to obtain all counter terms needed to have finite boundary energy momentum tensor. These terms could give non-trivial contributions to the complexity. We observe that having a finite UV cutoff would enforce us to have a cutoff behind the horizon whose value is fixed by the UV cutoff; moreover, certain counter term should be defined on the cutoff behind the horizon too.

[ { "created": "Sun, 26 May 2019 06:06:06 GMT", "version": "v1" }, { "created": "Mon, 3 Jun 2019 11:50:41 GMT", "version": "v2" }, { "created": "Mon, 23 Sep 2019 11:46:40 GMT", "version": "v3" } ]

2019-10-16

[ [ "Alishahiha", "Mohsen", "" ], [ "Astaneh", "Amin Faraji", "" ] ]

Using the complexity equals action proposal we study holographic complexity for hyperscaling violating theories in the presence of a finite cutoff that, in turns, requires to obtain all counter terms needed to have finite boundary energy momentum tensor. These terms could give non-trivial contributions to the complexity. We observe that having a finite UV cutoff would enforce us to have a cutoff behind the horizon whose value is fixed by the UV cutoff; moreover, certain counter term should be defined on the cutoff behind the horizon too.

22.562876

14.764715

19.67544

15.760974

16.426613

13.985772

15.34991

14.875373

16.068298

22.83474

17.215866

16.716118

18.315548

16.690399

16.916098

16.022079

16.785931

16.223495

16.612619

18.762239

16.820654

hep-th/0409277

Jamila Douari

Planar System and $w_\infty$ Algebra

10 pages, Seminar given at South African Institute of Physics Conference, University of Free State in Bloemfontein, 29 June to 2 July 2004. Title changed, discussions extended and some equations corrected. Final version accepted to be published in Modern Physics letters A

Mod.Phys.Lett. A20 (2005) 2861

null

hep-th

null

We study the exotic particles symmetry in the background of noncommutative two-dimensional phase-space leading to realize in physicswise the deformed version of $C_{\lambda}$-extended Heisenberg algebra and $\om_\infty$ symmetry.

[ { "created": "Mon, 27 Sep 2004 16:21:28 GMT", "version": "v1" }, { "created": "Thu, 21 Oct 2004 13:56:56 GMT", "version": "v2" }, { "created": "Sat, 4 Jun 2005 13:36:00 GMT", "version": "v3" }, { "created": "Mon, 5 Sep 2005 09:53:59 GMT", "version": "v4" } ]

2007-05-23

[ [ "Douari", "Jamila", "" ] ]

We study the exotic particles symmetry in the background of noncommutative two-dimensional phase-space leading to realize in physicswise the deformed version of $C_{\lambda}$-extended Heisenberg algebra and $\om_\infty$ symmetry.

42.034878

33.797092

46.413303

37.39835

35.816456

34.288044

37.520256

34.417599

34.079151

43.538013

33.93996

34.716389

41.1688

35.274429

34.887066

34.209602

33.817516

34.192791

37.436623

40.812611

32.951958

1905.02191

Yuya Kusuki

Yuya Kusuki, Masamichi Miyaji

Entanglement Entropy, OTOC and Bootstrap in 2D CFTs from Regge and Light Cone Limits of Multi-point Conformal Block

Published version

null

10.1007/JHEP08(2019)063

YITP-19-30 UT-19-08

hep-th cond-mat.str-el

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

We explore the structures of light cone and Regge limit singularities of $n$-point Virasoro conformal blocks in $c>1$ two-dimensional conformal field theories with no chiral primaries, using fusion matrix approach. These CFTs include not only holographic CFTs dual to classical gravity, but also their full quantum corrections, since this approach allows us to explore full $1/c$ corrections. As the important applications, we study time dependence of Renyi entropy after a local quench and out-of-time ordered correlator (OTOC) at late time. We first show that, the $n$-th ($n>2$) Renyi entropy after a local quench in our CFT grows logarithmically at late time, for any $c$ and any conformal dimensions of excited primary. In particular, we find that this behavior is independent of $c$, contrary to the expectation that the finite $c$ correction fixes the late time Renyi entropy to be constant. We also show that the constant part of the late time Renyi entropy is given by a monodromy matrix. We also investigate OTOCs by using the monodromy matrix. We first rewrite the monodromy matrix in terms of fusion matrix explicitly. By this expression, we find that the OTOC decays exponentially in time, and the decay rates are divided into three patterns, depending on the dimensions of external operators. We note that our result is valid for any $c>1$ and any external operator dimensions. Our monodromy matrix approach can be generalized to the Liouville theory and we show that the Liouville OTOC approaches constant in the late time regime. We emphasize that, there is a number of other applications of the fusion and the monodromy matrix approaches, such as solving the conformal bootstrap equation. Therefore, it is tempting to believe that the fusion and monodromy matrix approaches provide a key to understanding the AdS/CFT correspondence.

[ { "created": "Mon, 6 May 2019 17:59:42 GMT", "version": "v1" }, { "created": "Mon, 12 Aug 2019 18:05:27 GMT", "version": "v2" } ]

2019-09-04

[ [ "Kusuki", "Yuya", "" ], [ "Miyaji", "Masamichi", "" ] ]

We explore the structures of light cone and Regge limit singularities of $n$-point Virasoro conformal blocks in $c>1$ two-dimensional conformal field theories with no chiral primaries, using fusion matrix approach. These CFTs include not only holographic CFTs dual to classical gravity, but also their full quantum corrections, since this approach allows us to explore full $1/c$ corrections. As the important applications, we study time dependence of Renyi entropy after a local quench and out-of-time ordered correlator (OTOC) at late time. We first show that, the $n$-th ($n>2$) Renyi entropy after a local quench in our CFT grows logarithmically at late time, for any $c$ and any conformal dimensions of excited primary. In particular, we find that this behavior is independent of $c$, contrary to the expectation that the finite $c$ correction fixes the late time Renyi entropy to be constant. We also show that the constant part of the late time Renyi entropy is given by a monodromy matrix. We also investigate OTOCs by using the monodromy matrix. We first rewrite the monodromy matrix in terms of fusion matrix explicitly. By this expression, we find that the OTOC decays exponentially in time, and the decay rates are divided into three patterns, depending on the dimensions of external operators. We note that our result is valid for any $c>1$ and any external operator dimensions. Our monodromy matrix approach can be generalized to the Liouville theory and we show that the Liouville OTOC approaches constant in the late time regime. We emphasize that, there is a number of other applications of the fusion and the monodromy matrix approaches, such as solving the conformal bootstrap equation. Therefore, it is tempting to believe that the fusion and monodromy matrix approaches provide a key to understanding the AdS/CFT correspondence.

6.833974

6.952399

7.384298

6.543884

7.356163

7.368147

7.047888

6.749186

6.798004

8.5647

6.983877

6.639346

6.918667

6.782467

6.780468

6.744927

6.871571

6.823357

6.868103

7.145664

6.680444

2102.03638

Francesco Benini

Francesco Benini, Giovanni Rizi

Superconformal index of low-rank gauge theories via the Bethe Ansatz

24 pages; v2: refs added, typos corrected, slightly clarified relation with the N=1* theory

JHEP 05 (2021) 061

10.1007/JHEP05(2021)061

SISSA 07/2021/FISI

hep-th

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

We study the Bethe Ansatz formula for the superconformal index, in the case of 4d $\mathcal{N}=4$ super-Yang-Mills with gauge group $SU(N)$. We observe that not all solutions to the Bethe Ansatz Equations (BAEs) contribute to the index, and thus formulate "reduced BAEs" such that all and only their solutions contribute. We then propose, sharpening a conjecture of Arabi Ardehali et al. [arXiv:1912.04169], that there is a one-to-one correspondence between branches of solutions to the reduced BAEs and vacua of the 4d $\mathcal{N}=1^*$ theory. We test the proposal in the case of $SU(2)$ and $SU(3)$. In the case of $SU(3)$, we confirm that there is a continuous family of solutions, whose contribution to the index is non-vanishing.

[ { "created": "Sat, 6 Feb 2021 18:43:30 GMT", "version": "v1" }, { "created": "Fri, 26 Feb 2021 16:49:24 GMT", "version": "v2" } ]

2021-05-11

[ [ "Benini", "Francesco", "" ], [ "Rizi", "Giovanni", "" ] ]

We study the Bethe Ansatz formula for the superconformal index, in the case of 4d $\mathcal{N}=4$ super-Yang-Mills with gauge group $SU(N)$. We observe that not all solutions to the Bethe Ansatz Equations (BAEs) contribute to the index, and thus formulate "reduced BAEs" such that all and only their solutions contribute. We then propose, sharpening a conjecture of Arabi Ardehali et al. [arXiv:1912.04169], that there is a one-to-one correspondence between branches of solutions to the reduced BAEs and vacua of the 4d $\mathcal{N}=1^*$ theory. We test the proposal in the case of $SU(2)$ and $SU(3)$. In the case of $SU(3)$, we confirm that there is a continuous family of solutions, whose contribution to the index is non-vanishing.

4.899095

5.101993

5.183655

4.533439

4.691397

4.747574

4.928872

4.692986

4.528463

5.673259

4.739118

4.492366

4.918081

4.454962

4.522758

4.473204

4.583718

4.444266

4.524833

4.603492

4.353972

1903.10609

Giancarlo Camilo

Giancarlo Camilo, Dmitry Melnikov, F\'abio Novaes, Andrea Prudenziati

Circuit Complexity of Knot States in Chern-Simons theory

35 + 8 pages, 11 Figures; V3: fixed sec. 3 and 4 to carefully distinguish between topological and circuit complexity

J. High Energ. Phys. (2019) 2019: 163

10.1007/JHEP07(2019)163

null

hep-th math-ph math.MP

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

We compute an upper bound on the circuit complexity of quantum states in $3d$ Chern-Simons theory corresponding to certain classes of knots. Specifically, we deal with states in the torus Hilbert space of Chern-Simons that are the knot complements on the $3$-sphere of arbitrary torus knots. These can be constructed from the unknot state by using the Hilbert space representation of the $S$ and $T$ modular transformations of the torus as fundamental gates. The upper bound is saturated in the semiclassical limit of Chern-Simons theory. The results are then generalized for a family of multi-component links that are obtained by "Hopf-linking" different torus knots. We also use the braid word presentation of knots to discuss states on the punctured sphere Hilbert space associated with 2-bridge knots and links. The calculations present interesting number theoretic features related with continued fraction representations of rational numbers. In particular, we show that the minimization procedure defining the complexity naturally leads to regular continued fractions, allowing a geometric interpretation of the results in the Farey tesselation of the upper-half plane. Finally, we relate our discussion to the framework of path integral optimization by generalizing the original argument to non-trivial topologies.

[ { "created": "Mon, 25 Mar 2019 21:57:27 GMT", "version": "v1" }, { "created": "Thu, 28 Mar 2019 21:14:55 GMT", "version": "v2" }, { "created": "Tue, 4 Jun 2019 18:05:14 GMT", "version": "v3" } ]

2019-07-30

[ [ "Camilo", "Giancarlo", "" ], [ "Melnikov", "Dmitry", "" ], [ "Novaes", "Fábio", "" ], [ "Prudenziati", "Andrea", "" ] ]

We compute an upper bound on the circuit complexity of quantum states in $3d$ Chern-Simons theory corresponding to certain classes of knots. Specifically, we deal with states in the torus Hilbert space of Chern-Simons that are the knot complements on the $3$-sphere of arbitrary torus knots. These can be constructed from the unknot state by using the Hilbert space representation of the $S$ and $T$ modular transformations of the torus as fundamental gates. The upper bound is saturated in the semiclassical limit of Chern-Simons theory. The results are then generalized for a family of multi-component links that are obtained by "Hopf-linking" different torus knots. We also use the braid word presentation of knots to discuss states on the punctured sphere Hilbert space associated with 2-bridge knots and links. The calculations present interesting number theoretic features related with continued fraction representations of rational numbers. In particular, we show that the minimization procedure defining the complexity naturally leads to regular continued fractions, allowing a geometric interpretation of the results in the Farey tesselation of the upper-half plane. Finally, we relate our discussion to the framework of path integral optimization by generalizing the original argument to non-trivial topologies.

9.422153

9.155074

9.881107

9.104366

9.220448

9.401928

9.887523

9.138424

8.919412

10.318806

8.839225

8.784617

9.236963

8.758081

9.058338

8.643404

8.801533

8.620001

8.750999

9.054785

8.602663

2007.01847

Claudia de Rham

Claudia de Rham and Andrew J. Tolley

Causality in Curved Spacetimes: The Speed of Light & Gravity

references added, typos corrected

Phys. Rev. D 102, 084048 (2020)

10.1103/PhysRevD.102.084048

Imperial/TP/2020/CdR/03

hep-th

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

Within the low-energy effective field theories of QED and gravity, the low-energy speed of light or that of gravitational waves can typically be mildly superluminal in curved spacetimes. Related to this, small scattering time advances relative to the curved background can emerge from known effective field theory coefficients for photons or gravitons. We clarify why these results are not in contradiction with causality, analyticity or Lorentz invariance, and highlight various subtleties that arise when dealing with superluminalities and time advances in the gravitational context. Consistent low-energy effective theories are shown to self-protect by ensuring that any time advance and superluminality calculated within the regime of validity of the effective theory is necessarily unresolvable, and cannot be argued to lead to a macroscopically larger lightcone. Such considerations are particularly relevant for putting constraints on cosmological and gravitational effective field theories and we provide explicit criteria to be satisfied so as to ensure causality.

[ { "created": "Fri, 3 Jul 2020 17:55:18 GMT", "version": "v1" }, { "created": "Tue, 28 Jul 2020 11:59:24 GMT", "version": "v2" } ]

2020-10-28

[ [ "de Rham", "Claudia", "" ], [ "Tolley", "Andrew J.", "" ] ]

Within the low-energy effective field theories of QED and gravity, the low-energy speed of light or that of gravitational waves can typically be mildly superluminal in curved spacetimes. Related to this, small scattering time advances relative to the curved background can emerge from known effective field theory coefficients for photons or gravitons. We clarify why these results are not in contradiction with causality, analyticity or Lorentz invariance, and highlight various subtleties that arise when dealing with superluminalities and time advances in the gravitational context. Consistent low-energy effective theories are shown to self-protect by ensuring that any time advance and superluminality calculated within the regime of validity of the effective theory is necessarily unresolvable, and cannot be argued to lead to a macroscopically larger lightcone. Such considerations are particularly relevant for putting constraints on cosmological and gravitational effective field theories and we provide explicit criteria to be satisfied so as to ensure causality.

14.185452

13.654703

15.358906

12.79463

13.693232

13.170887

13.223994

13.363303

13.030918

16.307642

13.030291

13.764653

13.583991

13.300288

13.502753

13.393532

13.903312

13.427535

13.426265

14.264327

13.382698

2307.06228

Andrea Erdas

Magnetic corrections to the fermionic Casimir effect in Horava-Lifshitz theories

9 pages, no figures

null

hep-th

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

In this paper I investigate the effect of a magnetic field on the Casimir effect due to a massless and charged fermion field that violates Lorentz invariance according to the Horava-Lifshitz theory. I focus on the case of a fermion field that obeys MIT bag boundary conditions on a pair of parallel plates. I carry out this investigation using the $\zeta$-function technique that allows me to obtain Casimir energy and pressure in the presence of a uniform magnetic field orthogonal to the plates. I investigate the cases of the parameter associated with the violation of Lorentz invariance being even or odd and the cases of weak and strong magnetic field, examining all possible combinations of the above quantities. In all cases I obtain simple and very accurate analytic expressions of the magnetic field dependent Casimir energy and pressure.

[ { "created": "Wed, 12 Jul 2023 15:20:54 GMT", "version": "v1" } ]

2023-07-13

[ [ "Erdas", "Andrea", "" ] ]

In this paper I investigate the effect of a magnetic field on the Casimir effect due to a massless and charged fermion field that violates Lorentz invariance according to the Horava-Lifshitz theory. I focus on the case of a fermion field that obeys MIT bag boundary conditions on a pair of parallel plates. I carry out this investigation using the $\zeta$-function technique that allows me to obtain Casimir energy and pressure in the presence of a uniform magnetic field orthogonal to the plates. I investigate the cases of the parameter associated with the violation of Lorentz invariance being even or odd and the cases of weak and strong magnetic field, examining all possible combinations of the above quantities. In all cases I obtain simple and very accurate analytic expressions of the magnetic field dependent Casimir energy and pressure.

6.507938

5.7858

6.520169

5.928694

5.957702

5.770116

5.826817

5.473688

5.515072

6.714006

5.657373

5.737

6.148715

5.856481

6.135208

5.794674

5.799021

5.835545

5.89479

6.157401

6.108705

1111.1232

Thomas Grimm

Thomas W. Grimm, Hirotaka Hayashi

F-theory fluxes, Chirality and Chern-Simons theories

53 pages, 5 figures; v2: typos corrected, minor improvements

null

10.1007/JHEP03(2012)027

null

hep-th

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

We study the charged chiral matter spectrum of four-dimensional F-theory compactifications on elliptically fibered Calabi-Yau fourfolds by using the dual M-theory description. A chiral spectrum can be induced by M-theory four-form flux on the fully resolved Calabi-Yau fourfold. In M-theory this flux yields three-dimensional Chern-Simons couplings in the Coulomb branch of the gauge theory. In the F-theory compactification on an additional circle these couplings are only generated by one-loop corrections with charged fermions running in the loop. This identification allows us to infer the net number of chiral matter fields of the four-dimensional effective theory. The chirality formulas can be evaluated by using the intersection numbers and the cones of effective curves of the resolved fourfolds. We argue that a study of the effective curves also allows to follow the resolution process at each co-dimension. To write simple chirality formulas we suggest to use the effective curves involved in the resolution process to determine the matter surfaces and to connect with the group theory at co-dimension two in the base. We exemplify our methods on examples with SU(5) and SU(5)xU(1) gauge group.

[ { "created": "Fri, 4 Nov 2011 20:00:02 GMT", "version": "v1" }, { "created": "Thu, 9 Feb 2012 16:30:46 GMT", "version": "v2" } ]

2015-06-03

[ [ "Grimm", "Thomas W.", "" ], [ "Hayashi", "Hirotaka", "" ] ]

We study the charged chiral matter spectrum of four-dimensional F-theory compactifications on elliptically fibered Calabi-Yau fourfolds by using the dual M-theory description. A chiral spectrum can be induced by M-theory four-form flux on the fully resolved Calabi-Yau fourfold. In M-theory this flux yields three-dimensional Chern-Simons couplings in the Coulomb branch of the gauge theory. In the F-theory compactification on an additional circle these couplings are only generated by one-loop corrections with charged fermions running in the loop. This identification allows us to infer the net number of chiral matter fields of the four-dimensional effective theory. The chirality formulas can be evaluated by using the intersection numbers and the cones of effective curves of the resolved fourfolds. We argue that a study of the effective curves also allows to follow the resolution process at each co-dimension. To write simple chirality formulas we suggest to use the effective curves involved in the resolution process to determine the matter surfaces and to connect with the group theory at co-dimension two in the base. We exemplify our methods on examples with SU(5) and SU(5)xU(1) gauge group.

9.501438

9.388931

10.969116

9.320779

9.690473

9.702651

9.656461

9.591055

9.047318

11.388973

9.204733

8.941099

9.468345

9.002337

9.051756

8.948003

8.961628

9.157499

9.130732

9.587889

9.126225

hep-th/0510169

Mikhail Shifman

M. Shifman

Non-Perturbative Yang-Mills from Supersymmetry and Strings, Or, in the Jungles of Strong Coupling

Based on talks delivered at Planck-05/Mohapatra-Fest, ICTP, Trieste, May 23-28, 2005, and PASCOS-05, Gyeongju, Korea, May 30 - June 4, and the Cracow School of Theoretical Physics, Zakopane, Poland, June 3-12, 2005. 24 pages, 6 figures

Acta Phys.Polon. B36 (2005) 3783

10.1063/1.2149696

FTPI-MINN-05/41, UMN-TH-2413/05

hep-th

null

I summarize some recent developments in the issue of planar equivalence between supersymmetric Yang-Mills theory and its orbifold/orientifold daughters. This talk is based on works carried out in collaboration with Adi Armoni, Sasha Gorsky and Gabriele Veneziano.

[ { "created": "Wed, 19 Oct 2005 15:50:04 GMT", "version": "v1" } ]

2009-11-11

[ [ "Shifman", "M.", "" ] ]

I summarize some recent developments in the issue of planar equivalence between supersymmetric Yang-Mills theory and its orbifold/orientifold daughters. This talk is based on works carried out in collaboration with Adi Armoni, Sasha Gorsky and Gabriele Veneziano.

12.638569

8.402206

10.156395

8.057101

8.941438

8.353566

7.64804

9.285539

7.347848

14.053123

8.770469

8.077383

9.612487

7.79697

8.122476

8.310005

8.417217

8.404161

7.591879

8.63736

8.100713

hep-th/0609024

Anton Gerasimov

Anton A. Gerasimov, Samson L. Shatashvili

Higgs Bundles, Gauge Theories and Quantum Groups

48 pages, typos corrected, one reference added

Commun.Math.Phys.277:323-367,2008

10.1007/s00220-007-0369-1

null

hep-th

null

The appearance of the Bethe Ansatz equation for the Nonlinear Schr\"{o}dinger equation in the equivariant integration over the moduli space of Higgs bundles is revisited. We argue that the wave functions of the corresponding two-dimensional topological U(N) gauge theory reproduce quantum wave functions of the Nonlinear Schr\"{o}dinger equation in the $N$-particle sector. This implies the full equivalence between the above gauge theory and the $N$-particle sub-sector of the quantum theory of Nonlinear Schr\"{o}dinger equation. This also implies the explicit correspondence between the gauge theory and the representation theory of degenerate double affine Hecke algebra. We propose similar construction based on the $G/G$ gauged WZW model leading to the representation theory of the double affine Hecke algebra. The relation with the Nahm transform and the geometric Langlands correspondence is briefly discussed.

[ { "created": "Mon, 4 Sep 2006 16:48:36 GMT", "version": "v1" }, { "created": "Thu, 19 Oct 2006 18:12:57 GMT", "version": "v2" }, { "created": "Fri, 20 Oct 2006 00:11:08 GMT", "version": "v3" } ]

2008-11-26

[ [ "Gerasimov", "Anton A.", "" ], [ "Shatashvili", "Samson L.", "" ] ]

The appearance of the Bethe Ansatz equation for the Nonlinear Schr\"{o}dinger equation in the equivariant integration over the moduli space of Higgs bundles is revisited. We argue that the wave functions of the corresponding two-dimensional topological U(N) gauge theory reproduce quantum wave functions of the Nonlinear Schr\"{o}dinger equation in the $N$-particle sector. This implies the full equivalence between the above gauge theory and the $N$-particle sub-sector of the quantum theory of Nonlinear Schr\"{o}dinger equation. This also implies the explicit correspondence between the gauge theory and the representation theory of degenerate double affine Hecke algebra. We propose similar construction based on the $G/G$ gauged WZW model leading to the representation theory of the double affine Hecke algebra. The relation with the Nahm transform and the geometric Langlands correspondence is briefly discussed.

6.075476

5.587774

6.691396

5.744575

5.642779

5.730619

6.207259

5.77493

5.70892

7.582585

5.656724

5.492883

6.30578

5.63247

5.672061

5.652728

5.621266

5.74304

5.633429

6.218034

5.678143

hep-th/9202063

null

Abhay Ashtekar and Carlo Rovelli

A Loop Representation for the Quantum Maxwell Field

40 pages

Class.Quant.Grav.9:1121-1150,1992

10.1088/0264-9381/9/5/002

null

hep-th

null

Quantization of the free Maxwell field in Minkowski space is carried out using a loop representation and shown to be equivalent to the standard Fock quantization. Because it is based on coherent state methods, this framework may be useful in quantum optics. It is also well-suited for the discussion of issues related to flux quantization in condensed matter physics. Our own motivation, however, came from a non-perturbative approach to quantum gravity. The concrete results obtained in this paper for the Maxwell field provide independent support for that approach. In addition, they offer some insight into the physical interpretation of the mathematical structures that play, within this approach, an essential role in the description of the quantum geometry at Planck scale.

[ { "created": "Wed, 19 Feb 1992 03:05:00 GMT", "version": "v1" } ]

2010-04-06

[ [ "Ashtekar", "Abhay", "" ], [ "Rovelli", "Carlo", "" ] ]

Quantization of the free Maxwell field in Minkowski space is carried out using a loop representation and shown to be equivalent to the standard Fock quantization. Because it is based on coherent state methods, this framework may be useful in quantum optics. It is also well-suited for the discussion of issues related to flux quantization in condensed matter physics. Our own motivation, however, came from a non-perturbative approach to quantum gravity. The concrete results obtained in this paper for the Maxwell field provide independent support for that approach. In addition, they offer some insight into the physical interpretation of the mathematical structures that play, within this approach, an essential role in the description of the quantum geometry at Planck scale.

9.049646

7.975922

7.87759

7.809128

8.334621

8.048013

8.687741

7.455933

8.076064

7.755151

7.9203

8.165842

8.054688

7.76332

8.21492

8.069828

8.062105

7.902116

8.241311

8.014729

8.413562

hep-th/9708139

Shin'ichi Nojiri

Shin'ichi Nojiri and Sergei D. Odintsov

Trace Anomaly Induced Effective Action and Hawking Radiation for 2d Dilatonic Supergravity

LaTeX file, 9 page

Phys.Lett.B416:85-90,1998

10.1016/S0370-2693(97)01331-2

NDA-FP-36

hep-th

null

We construct the theory of 2d dilatonic supergravity(SG) with matter and dilaton supermultiplets coupled to dilaton functions. Trace anomaly and induced effective action for matter supermultiplet are calculated (what gives also large-N effective action for dilatonic SG). Study of black holes and Hawking radiation which turns out to be zero in supersymmetric CGHS model with dilaton coupled matter is presented. In the same way one can study spherically symmetric collapse for other 4d SG using simplified 2d approach.

[ { "created": "Wed, 27 Aug 1997 02:38:59 GMT", "version": "v1" } ]

2009-09-17

[ [ "Nojiri", "Shin'ichi", "" ], [ "Odintsov", "Sergei D.", "" ] ]

We construct the theory of 2d dilatonic supergravity(SG) with matter and dilaton supermultiplets coupled to dilaton functions. Trace anomaly and induced effective action for matter supermultiplet are calculated (what gives also large-N effective action for dilatonic SG). Study of black holes and Hawking radiation which turns out to be zero in supersymmetric CGHS model with dilaton coupled matter is presented. In the same way one can study spherically symmetric collapse for other 4d SG using simplified 2d approach.

19.478161

17.68022

20.389467

16.629427

19.42725

17.914747

17.646397

16.391638

16.757805

20.786627

16.268272

17.72146

18.737041

17.722572

17.928768

18.680117

17.567017

17.603752

18.968307

19.049164

17.320133

hep-th/9506141

Michel Bauer

Michel Bauer and Denis Bernard (SPhT Saclay)

The Large N Random Phase sine-Gordon Model

8 pages, plain latex, no figures

Europhys.Lett.33:255-259,1996

10.1209/epl/i1996-00329-2

SPhT-95-073

hep-th cond-mat

null

At large distances and in the low temperature phase, the quenched correlation functions in the 2d random phase sine-Gordon model have been argued to be of the form~: $ \bar {\vev{~[\varphi(x)-\varphi(0)]^2~}}_* = A (\log|x|) + B \ep^2 (\log|x|)^2 $, with $\ep=(T-T_c)$. However, renormalization group computations predict $B\not=0$ while variational approaches (which are supposed to be exact for models with a large number of components) give $B=0$. We introduce a large $N$ version of the random phase sine-Gordon model. Using non-Abelian bosonization and renormalization group techniques, we show that the correlation functions of our models have the above form but with a coefficient $B$ suppressed by a factor $1/N^3$ compared to $A$.

[ { "created": "Wed, 21 Jun 1995 14:25:49 GMT", "version": "v1" } ]

2009-10-28

[ [ "Bauer", "Michel", "", "SPhT Saclay" ], [ "Bernard", "Denis", "", "SPhT Saclay" ] ]

At large distances and in the low temperature phase, the quenched correlation functions in the 2d random phase sine-Gordon model have been argued to be of the form~: $ \bar {\vev{~[\varphi(x)-\varphi(0)]^2~}}_* = A (\log|x|) + B \ep^2 (\log|x|)^2 $, with $\ep=(T-T_c)$. However, renormalization group computations predict $B\not=0$ while variational approaches (which are supposed to be exact for models with a large number of components) give $B=0$. We introduce a large $N$ version of the random phase sine-Gordon model. Using non-Abelian bosonization and renormalization group techniques, we show that the correlation functions of our models have the above form but with a coefficient $B$ suppressed by a factor $1/N^3$ compared to $A$.

7.693679

8.7975

8.581904

7.299677

8.157265

8.620305

8.288295

7.555721

7.965371

8.291733

7.79461

7.012586

7.511256

7.454047

7.301303

7.418418

7.238449

7.316164

7.121281

7.38909

7.17025

hep-th/9704179

Andrzej Z. Gorski

Andrzej Z. Gorski and Pawel O. Mazur

The Quantum Black Hole Specific Heat is Positive

4 pages, LaTeX, minor corrections included

null

hep-th gr-qc

null

We suggest in this Letter that the Bekenstein-Hawking black hole entropy accounts for the degrees of freedom which are excited at low temperatures only and hence it leads to the negative specific heat. Taking into account the physical degrees of freedom which are excited at high temperatures, the existence of which we postulate, we compute the total specific heat of the quantum black hole that appears to be positive. This is done in analogy to the Planck's treatment of the black body radiation problem. Other thermodynamic functions are computed as well. Our results and the success of the thermodynamic description of the quantum black hole suggest an underlying atomic (discrete) structure of gravitation. The basic properties of these gravitational atoms are found.

[ { "created": "Fri, 25 Apr 1997 01:59:58 GMT", "version": "v1" }, { "created": "Fri, 16 May 1997 13:20:26 GMT", "version": "v2" } ]

2009-10-19

[ [ "Gorski", "Andrzej Z.", "" ], [ "Mazur", "Pawel O.", "" ] ]

We suggest in this Letter that the Bekenstein-Hawking black hole entropy accounts for the degrees of freedom which are excited at low temperatures only and hence it leads to the negative specific heat. Taking into account the physical degrees of freedom which are excited at high temperatures, the existence of which we postulate, we compute the total specific heat of the quantum black hole that appears to be positive. This is done in analogy to the Planck's treatment of the black body radiation problem. Other thermodynamic functions are computed as well. Our results and the success of the thermodynamic description of the quantum black hole suggest an underlying atomic (discrete) structure of gravitation. The basic properties of these gravitational atoms are found.

10.335096

9.725401

9.842355

9.69874

10.425455

9.611153

10.051581

9.600323

9.778289

10.127934

9.648066

9.90549

9.889774

9.598911

9.898594

9.704044

9.634003

9.671312

9.913735

9.585637

9.552577

2110.01635

Gizem \c{S}eng\"or

Gizem Sengor, Constantinos Skordis

Scalar two-point functions at the late-time boundary of de Sitter

The discussions on the massless scalar have been extended to include exceptional and discrete series invariant subspaces and inner products. An appendix with bulk calculations and confirmation that employing the late-time limit at the end or from the beginning leads to the same results have been included. This extended version is the version that will be submitted to a journal

null

hep-th astro-ph.CO gr-qc

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

We calculate two-point functions of scalar fields of mass $m$ and their conjugate momenta at the late-time boundary of de Sitter with Bunch-Davies boundary conditions, in general $d+1$ spacetime dimensions. We perform the calculation using the wavefunction picture and using canonical quantization. With the latter one clearly sees how the late-time field and conjugate momentum operators are linear combinations of the normalized late-time operators $\alphaN$ and $\betaN$ that correspond to unitary irreducible representations of the de Sitter group with well-defined inner products. The two-point functions resulting from these two different methods are equal and we find that both the autocorrelations of $\alphaN$ and $\betaN$ and their cross correlations contribute to the late-time field and conjugate momentum two-point functions. This happens both for light scalars ($m<\frac{d}{2}H$), corresponding to complementary series representations, and heavy scalars ($m>\frac{d}{2}H$), corresponding to principal series representations of the de Sitter group, where $H$ is the Hubble scale of de Sitter. In the special case $m=0$, only the $\betaN$ autocorrelation contributes to the conjugate momentum two-point function in any dimensions and we gather hints that suggest $\alphaN$ to correspond to discrete series representations for this case at $d=3$.

[ { "created": "Mon, 4 Oct 2021 18:01:31 GMT", "version": "v1" }, { "created": "Sun, 29 Oct 2023 08:42:52 GMT", "version": "v2" } ]

2023-10-31

[ [ "Sengor", "Gizem", "" ], [ "Skordis", "Constantinos", "" ] ]

We calculate two-point functions of scalar fields of mass $m$ and their conjugate momenta at the late-time boundary of de Sitter with Bunch-Davies boundary conditions, in general $d+1$ spacetime dimensions. We perform the calculation using the wavefunction picture and using canonical quantization. With the latter one clearly sees how the late-time field and conjugate momentum operators are linear combinations of the normalized late-time operators $\alphaN$ and $\betaN$ that correspond to unitary irreducible representations of the de Sitter group with well-defined inner products. The two-point functions resulting from these two different methods are equal and we find that both the autocorrelations of $\alphaN$ and $\betaN$ and their cross correlations contribute to the late-time field and conjugate momentum two-point functions. This happens both for light scalars ($m<\frac{d}{2}H$), corresponding to complementary series representations, and heavy scalars ($m>\frac{d}{2}H$), corresponding to principal series representations of the de Sitter group, where $H$ is the Hubble scale of de Sitter. In the special case $m=0$, only the $\betaN$ autocorrelation contributes to the conjugate momentum two-point function in any dimensions and we gather hints that suggest $\alphaN$ to correspond to discrete series representations for this case at $d=3$.

6.568314

6.638752

7.310495

6.675408

7.0093

7.03962

6.517416

6.865806

6.775277

7.586872

6.581916

6.561632

6.720335

6.576207

6.783185

6.640232

6.621145

6.677162

6.724408

6.905123

6.532111

hep-th/9605099

Lysiansky Michael

L. Caneschi and M. Lysiansky

Chiral Quantization of the WZW $SU(n)$ Model

35 pages, latex, no figures, corrections in the chiral decomposition of the vertex operators in the WZW model are introduced

Nucl.Phys. B505 (1997) 701-726

10.1016/S0550-3213(97)00587-7

null

hep-th

null

We quantize the $SU(n)$ Wess-Zumino-Witten model in terms of left and right chiral variables choosing an appropriate gauge and we compare our results with the results that have been previously obtained in the algebraic treatment of the problem. The algebra of the chiral vertex operators in the fundamental representation is verified by solving appropriate Knizhnik-Zamolodchikov equations.

[ { "created": "Tue, 14 May 1996 15:41:59 GMT", "version": "v1" }, { "created": "Wed, 15 Jan 1997 13:33:00 GMT", "version": "v2" } ]

2009-10-30

[ [ "Caneschi", "L.", "" ], [ "Lysiansky", "M.", "" ] ]

We quantize the $SU(n)$ Wess-Zumino-Witten model in terms of left and right chiral variables choosing an appropriate gauge and we compare our results with the results that have been previously obtained in the algebraic treatment of the problem. The algebra of the chiral vertex operators in the fundamental representation is verified by solving appropriate Knizhnik-Zamolodchikov equations.

9.025371

8.258317

9.455478

8.068237

8.255962

8.032745

8.346982

8.33411

7.451517

9.738147

7.784457

8.150051

8.945245

7.818026

7.900375

7.97519

8.21995

8.007879

8.005314

8.469674

7.865609

2103.06066

Marcus Sperling

Andreas P. Braun, Jin Chen, Babak Haghighat, Marcus Sperling, Shuhang Yang

Fibre-base duality of 5d KK theories

v3: 60 pages, several typos corrected, matches JHEP version

null

10.1007/JHEP05(2021)200

null

hep-th

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

We study circle compactifications of 6d superconformal field theories giving rise to 5d rank 1 and rank 2 Kaluza-Klein theories. We realise the resulting theories as M-theory compactifications on local Calabi-Yau 3-folds and match the prepotentials from geometry and field theory. One novelty in our approach is that we include explicit dependence on bare gauge couplings and mass parameters in the description which in turn leads to an accurate parametrisation of the prepotential including all parameters of the field theory. We find that the resulting geometries admit "fibre-base" duality which relates their six-dimensional origin with the purely five-dimensional quantum field theory interpretation. The fibre-base duality is realised simply by swapping base and fibre curves of compact surfaces in the local Calabi-Yau which can be viewed as the total space of the anti-canonical bundle over such surfaces. Our results show that such swappings precisely occur for surfaces with a zero self-intersection of the base curve and result in an exchange of the 6d and 5d pictures.

[ { "created": "Wed, 10 Mar 2021 14:10:32 GMT", "version": "v1" }, { "created": "Tue, 16 Mar 2021 16:31:21 GMT", "version": "v2" }, { "created": "Thu, 3 Jun 2021 06:11:24 GMT", "version": "v3" } ]

2021-06-04

[ [ "Braun", "Andreas P.", "" ], [ "Chen", "Jin", "" ], [ "Haghighat", "Babak", "" ], [ "Sperling", "Marcus", "" ], [ "Yang", "Shuhang", "" ] ]

We study circle compactifications of 6d superconformal field theories giving rise to 5d rank 1 and rank 2 Kaluza-Klein theories. We realise the resulting theories as M-theory compactifications on local Calabi-Yau 3-folds and match the prepotentials from geometry and field theory. One novelty in our approach is that we include explicit dependence on bare gauge couplings and mass parameters in the description which in turn leads to an accurate parametrisation of the prepotential including all parameters of the field theory. We find that the resulting geometries admit "fibre-base" duality which relates their six-dimensional origin with the purely five-dimensional quantum field theory interpretation. The fibre-base duality is realised simply by swapping base and fibre curves of compact surfaces in the local Calabi-Yau which can be viewed as the total space of the anti-canonical bundle over such surfaces. Our results show that such swappings precisely occur for surfaces with a zero self-intersection of the base curve and result in an exchange of the 6d and 5d pictures.

10.508529

10.074484

12.418789

9.806753

10.602715

10.253622

9.638777

9.855023

10.107271

12.559322

9.772292

10.033392

10.326649

9.586597

9.372803

9.595689

9.525865

9.556897

9.535911

10.291413

9.629886

hep-th/0211151

Cesar D. Fosco

C. D. Fosco

A note on anomalous Jacobians in 2+1 dimensions

9 pages, LaTeX, no figures

null

hep-th

null

There exist local infinitesimal redefinitions of the fermionic fields, which may be used to modify the strength of the coupling for the interaction term in massless QED3. Under those (formally unitary) transformations, the functional integration measure changes by an anomalous Jacobian, which (after regularization) yields a term with the same structure as the quadratic parity-conserving term in the effective action. Besides, the Dirac operator is affected by the introduction of new terms, apart from the modification in the minimal coupling term. We show that the result coming from the Jacobian, plus the effect of those new terms, add up to reproduce the exact quadratic term in the effective action. Finally, we also write down the form a finite decoupling transformation would have, and comment on the unlikelihood of that transformation to yield a helpful answer to the non-perturbative evaluation of the fermionic determinant.

[ { "created": "Sat, 16 Nov 2002 22:36:21 GMT", "version": "v1" } ]

2007-05-23

[ [ "Fosco", "C. D.", "" ] ]

There exist local infinitesimal redefinitions of the fermionic fields, which may be used to modify the strength of the coupling for the interaction term in massless QED3. Under those (formally unitary) transformations, the functional integration measure changes by an anomalous Jacobian, which (after regularization) yields a term with the same structure as the quadratic parity-conserving term in the effective action. Besides, the Dirac operator is affected by the introduction of new terms, apart from the modification in the minimal coupling term. We show that the result coming from the Jacobian, plus the effect of those new terms, add up to reproduce the exact quadratic term in the effective action. Finally, we also write down the form a finite decoupling transformation would have, and comment on the unlikelihood of that transformation to yield a helpful answer to the non-perturbative evaluation of the fermionic determinant.

12.321035

13.303797

11.976109

12.024803

13.734186

12.4121

13.078739

12.426961

11.360795

13.220819

11.900661

11.377194

12.024366

11.430697

11.786528

11.616992

11.680426

11.274291

11.246949

11.781108

11.293055

hep-th/9510101

Edward Witten

Ron Donagi and Edward Witten

Supersymmetric Yang-Mills Systems And Integrable Systems

50 pages, harvmac. added references

Nucl.Phys.B460:299-334,1996

10.1016/0550-3213(95)00609-5

null

hep-th alg-geom math.AG

null

The Coulomb branch of $N=2$ supersymmetric gauge theories in four dimensions is described in general by an integrable Hamiltonian system in the holomorphic sense. A natural construction of such systems comes from two-dimensional gauge theory and spectral curves. Starting from this point of view, we propose an integrable system relevant to the $N=2$ $SU(n)$ gauge theory with a hypermultiplet in the adjoint representation, and offer much evidence that it is correct. The model has an $SL(2,{\bf Z})$ $S$-duality group (with the central element $-1$ of $SL(2,{\bf Z})$ acting as charge conjugation); $SL(2,{\bf Z})$ permutes the Higgs, confining, and oblique confining phases in the expected fashion. We also study more exotic phases.

[ { "created": "Mon, 16 Oct 1995 20:42:59 GMT", "version": "v1" }, { "created": "Mon, 23 Oct 1995 13:33:45 GMT", "version": "v2" } ]

2010-04-07

[ [ "Donagi", "Ron", "" ], [ "Witten", "Edward", "" ] ]

The Coulomb branch of $N=2$ supersymmetric gauge theories in four dimensions is described in general by an integrable Hamiltonian system in the holomorphic sense. A natural construction of such systems comes from two-dimensional gauge theory and spectral curves. Starting from this point of view, we propose an integrable system relevant to the $N=2$ $SU(n)$ gauge theory with a hypermultiplet in the adjoint representation, and offer much evidence that it is correct. The model has an $SL(2,{\bf Z})$ $S$-duality group (with the central element $-1$ of $SL(2,{\bf Z})$ acting as charge conjugation); $SL(2,{\bf Z})$ permutes the Higgs, confining, and oblique confining phases in the expected fashion. We also study more exotic phases.

6.564175

6.68007

7.853532

6.304314

6.674359

6.552234

7.006287

6.892232

6.406551

7.440982

6.520103

6.39119

6.693884

6.456349

6.565258

6.343807

6.336949

6.46166

6.128358

6.249259

6.239231

2009.07291

Walter Baron

Walter H. Baron, Diego Marques

The generalized Bergshoeff-de Roo identification II

46 pages

null

10.1007/JHEP01(2021)171

null

hep-th

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

We recently introduced a T-duality covariant mechanism to compute all-order higher-derivative interactions in the heterotic string. Here we extend the formalism to account for a two-parameter family of corrections that also include the bosonic string and HSZ theory. We use our result to compute the full second order Double Field Theory (DFT) for generic values of the parameters, including the generalized Green-Schwarz transformation and its invariant action.

[ { "created": "Tue, 15 Sep 2020 18:00:05 GMT", "version": "v1" } ]

2021-02-24

[ [ "Baron", "Walter H.", "" ], [ "Marques", "Diego", "" ] ]

We recently introduced a T-duality covariant mechanism to compute all-order higher-derivative interactions in the heterotic string. Here we extend the formalism to account for a two-parameter family of corrections that also include the bosonic string and HSZ theory. We use our result to compute the full second order Double Field Theory (DFT) for generic values of the parameters, including the generalized Green-Schwarz transformation and its invariant action.

16.230774

14.188287

16.539013

11.863525

13.913114

13.960447

14.756825

13.056278

11.979124

16.728735

13.166146

13.122349

13.217762

13.706133

13.894281

13.704848

13.32752

13.561033

14.006586

13.888588

13.588365

hep-th/0608157

Iosif Bena

I. Bena, E. Gorbatov, S.Hellerman, N. Seiberg, and D. Shih

A Note on (Meta)stable Brane Configurations in MQCD

30 pages, 7 figures, harvmac. v2 typo corrected

JHEP 0611:088,2006

10.1088/1126-6708/2006/11/088

null

hep-th

null

We examine the M-theory version of SQCD which is known as MQCD. In the IIA limit, this theory appears to have a supersymmetry-breaking brane configuration which corresponds to the meta-stable state of N=1 SU(Nc) SQCD. However, the behavior at infinity of this non-supersymmetric brane construction differs from that of the supersymmetric ground state of MQCD. We interpret this to mean that it is not a meta-stable state in MQCD, but rather a state in another theory. This provides a concrete example of the fact that, while MQCD accurately describes the supersymmetric features of SCQD, it fails to reproduce its non-supersymmetric features (such as meta-stable states) not only quantitatively but also qualitatively.

[ { "created": "Tue, 22 Aug 2006 17:53:21 GMT", "version": "v1" }, { "created": "Thu, 7 Sep 2006 23:15:00 GMT", "version": "v2" } ]

2009-11-11

[ [ "Bena", "I.", "" ], [ "Gorbatov", "E.", "" ], [ "Hellerman", "S.", "" ], [ "Seiberg", "N.", "" ], [ "Shih", "D.", "" ] ]

We examine the M-theory version of SQCD which is known as MQCD. In the IIA limit, this theory appears to have a supersymmetry-breaking brane configuration which corresponds to the meta-stable state of N=1 SU(Nc) SQCD. However, the behavior at infinity of this non-supersymmetric brane construction differs from that of the supersymmetric ground state of MQCD. We interpret this to mean that it is not a meta-stable state in MQCD, but rather a state in another theory. This provides a concrete example of the fact that, while MQCD accurately describes the supersymmetric features of SCQD, it fails to reproduce its non-supersymmetric features (such as meta-stable states) not only quantitatively but also qualitatively.

7.263452

7.796734

8.402571

7.299234

7.452343

7.099831

7.461394

7.115687

7.41348

8.724269

7.023242

7.427543

7.924475

7.122666

7.34932

7.407402

7.130281

7.111074

7.314663

7.52032

7.239513

2206.04719

Gizem \c{S}eng\"or

Gizem Sengor

The de Sitter group and its presence at the late-time boundary

submitted to Proceedings of Science, Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity" under the workshop on "Quantum Features in a de Sitter Universe"

null

10.22323/1.406.0356

null

hep-th

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

Our main goal here is to provide an introduction on some of the well established properties of the representation theory of SO(d+1,1), for those considering to think on physical problems set in de Sitter space in terms of these representations. With this purpose we review two intertwining maps, the map G that is used in constructing a well defined inner product for the complementary series representations and the map Q that is involved in constructing composite representations. We give explicit examples from the late-time boundary of de Sitter on the practical use of the complementary series inner product and in building a tensor product representation from unitary principal series irreducible representations.

[ { "created": "Thu, 9 Jun 2022 18:19:09 GMT", "version": "v1" } ]

2022-12-01

[ [ "Sengor", "Gizem", "" ] ]

Our main goal here is to provide an introduction on some of the well established properties of the representation theory of SO(d+1,1), for those considering to think on physical problems set in de Sitter space in terms of these representations. With this purpose we review two intertwining maps, the map G that is used in constructing a well defined inner product for the complementary series representations and the map Q that is involved in constructing composite representations. We give explicit examples from the late-time boundary of de Sitter on the practical use of the complementary series inner product and in building a tensor product representation from unitary principal series irreducible representations.

19.008984

18.46546

19.418987

18.190512

19.233578

16.469122

17.429676

18.809471

17.071651

19.2558

17.025595

16.905077

17.138365

16.694323

17.140636

16.996243

18.323477

16.813457

17.288832

17.395361

17.356974

2309.17369

Martina Adamo

Patrizia Vitale, Martina Adamo, Roukaya Dekhil, Diego Fern\'andez-Silvestre

Introduction to noncommutative field and gauge theory

Lectures at Second Training School of COST Action "Quantum gravity phenomenology in the multi-messenger approach", to be published in PoS. 63 pages, 1 figure

null

hep-th math-ph math.MP

http://creativecommons.org/licenses/by-nc-nd/4.0/

These are lecture notes for an introductory course on noncommutative field and gauge theory. We begin by reviewing quantum mechanics as the prototypical noncommutative theory, as well as the geometrical language of standard gauge theory. Then, we review a specific approach to noncommutative field and gauge theory, which relies on the introduction of a derivations-based differential calculus. We focus on the cases of constant and linear noncommutativity, e.g., the Moyal spacetime and the so-called $\mathbb{R}^3_\lambda$, respectively. In particular, we review the $g\varphi^4$ scalar field theory and the $U(1)$ gauge theory on such noncommutative spaces. Finally, we discuss noncommutative spacetime symmetries from both the observer and particle point of view. In this context, the twist approach is reviewed and the $\lambda$-Minkowski $g\varphi^4$ model is discussed.

[ { "created": "Fri, 29 Sep 2023 16:17:50 GMT", "version": "v1" } ]

2023-10-02

[ [ "Vitale", "Patrizia", "" ], [ "Adamo", "Martina", "" ], [ "Dekhil", "Roukaya", "" ], [ "Fernández-Silvestre", "Diego", "" ] ]

These are lecture notes for an introductory course on noncommutative field and gauge theory. We begin by reviewing quantum mechanics as the prototypical noncommutative theory, as well as the geometrical language of standard gauge theory. Then, we review a specific approach to noncommutative field and gauge theory, which relies on the introduction of a derivations-based differential calculus. We focus on the cases of constant and linear noncommutativity, e.g., the Moyal spacetime and the so-called $\mathbb{R}^3_\lambda$, respectively. In particular, we review the $g\varphi^4$ scalar field theory and the $U(1)$ gauge theory on such noncommutative spaces. Finally, we discuss noncommutative spacetime symmetries from both the observer and particle point of view. In this context, the twist approach is reviewed and the $\lambda$-Minkowski $g\varphi^4$ model is discussed.

6.563321

6.509649

6.878054

6.111255

6.358299

6.352966

6.681435

6.081002

6.100006

7.271122

6.170043

6.141034

6.243166

6.058908

6.058414

6.036641

5.948725

6.078187

6.223043

6.226213

5.947758

hep-th/0602034

Boris Zupnik

B.M. Zupnik

Deformations of Euclidean Supersymmetries

Latex file, 19 pages; v.2 corrected version, reference added

Theor.Math.Phys.147:670-686,2006; Teor.Mat.Fiz.147:270-289,2006

10.1007/s11232-006-0069-6

null

hep-th

null

We consider quantum supergroups that arise in non-anticommutative deformations of N=(1/2,1/2) and N=(1,1) four-dimensional Euclidean supersymmetric theories. Twist operators in the corresponding deformed algebras of superfields contain left spinor generators. We show that non-anticommutative $\star$-products of superfields transform covariantly in the deformed supersymmetries. This covariance guarantees the invariance of deformed superfield actions of models involving $\star$-products of superfields.

[ { "created": "Fri, 3 Feb 2006 15:04:37 GMT", "version": "v1" }, { "created": "Thu, 20 Apr 2006 14:55:34 GMT", "version": "v2" } ]

2009-11-11

[ [ "Zupnik", "B. M.", "" ] ]

We consider quantum supergroups that arise in non-anticommutative deformations of N=(1/2,1/2) and N=(1,1) four-dimensional Euclidean supersymmetric theories. Twist operators in the corresponding deformed algebras of superfields contain left spinor generators. We show that non-anticommutative $\star$-products of superfields transform covariantly in the deformed supersymmetries. This covariance guarantees the invariance of deformed superfield actions of models involving $\star$-products of superfields.

8.702215

6.899384

9.419602

7.528446

7.098448

7.002467

7.076584

7.159081

7.060767

10.028754

7.043966

7.620245

8.337667

7.631328

7.59996

7.783228

7.492208

7.66699

7.839855

8.621211

7.519544

1312.4945

Carlos Nunez

Jerome Gaillard, Niall T. Macpherson, Carlos Nunez and Daniel C. Thompson

Dualising the Baryonic Branch: Dynamic SU(2) and confining backgrounds in IIA

27 pages plus various appendices

null

10.1016/j.nuclphysb.2014.05.004

MAD-13-05

hep-th

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

In this paper we construct and examine new supersymmetric solutions of massive IIA supergravity that are obtained using non-Abelian T-duality applied to the Baryonic Branch of the Klebanov-Strassler background. The geometries display SU(2) structure which we show flows from static in the UV to dynamical in the IR. Confinement and symmetry breaking are given a geometrical interpretation by this change of structure. Various field theory observables are studied, suggesting possible ways to break conformality and flow in $N=1$ $T_N$ and related field theories.

[ { "created": "Tue, 17 Dec 2013 21:00:01 GMT", "version": "v1" } ]

2015-06-18

[ [ "Gaillard", "Jerome", "" ], [ "Macpherson", "Niall T.", "" ], [ "Nunez", "Carlos", "" ], [ "Thompson", "Daniel C.", "" ] ]

In this paper we construct and examine new supersymmetric solutions of massive IIA supergravity that are obtained using non-Abelian T-duality applied to the Baryonic Branch of the Klebanov-Strassler background. The geometries display SU(2) structure which we show flows from static in the UV to dynamical in the IR. Confinement and symmetry breaking are given a geometrical interpretation by this change of structure. Various field theory observables are studied, suggesting possible ways to break conformality and flow in $N=1$ $T_N$ and related field theories.

12.725032

10.230731

14.738506

11.022815

10.791405

11.699567

10.43401

10.686634

9.805248

14.894835

10.159553

10.870414

12.78425

11.066157

11.708613

11.439601

11.216418

11.24186

10.950942

12.555969

10.671456

0709.3166

Kazunobu Maruyoshi

Hiroshi Itoyama, Kazunobu Maruyoshi, Makoto Sakaguchi

N=2 Quiver Gauge Model and Partial Supersymmetry Breaking

19 pages

Nucl.Phys.B794:216-230,2008

10.1016/j.nuclphysb.2007.11.001

OCU-PHYS 275, OIQP-07-10

hep-th

null

We construct an action of N=2 affine $A_n$ quiver gauge model having non-canonical kinetic terms and equipped with electric and magnetic FI terms. N=2 supersymmetry is shown to be broken to N=1 spontaneously and N=1 multiplets realized on the vacua are given. We also mention the models with different gauge groups. It is argued that the affine $A_1$ quiver gauge model provides a dynamical realization to approach the Klebanov-Witten N=1 fixed point.

[ { "created": "Thu, 20 Sep 2007 09:35:35 GMT", "version": "v1" } ]

2008-11-26

[ [ "Itoyama", "Hiroshi", "" ], [ "Maruyoshi", "Kazunobu", "" ], [ "Sakaguchi", "Makoto", "" ] ]

We construct an action of N=2 affine $A_n$ quiver gauge model having non-canonical kinetic terms and equipped with electric and magnetic FI terms. N=2 supersymmetry is shown to be broken to N=1 spontaneously and N=1 multiplets realized on the vacua are given. We also mention the models with different gauge groups. It is argued that the affine $A_1$ quiver gauge model provides a dynamical realization to approach the Klebanov-Witten N=1 fixed point.

13.434843

10.564531

13.324699

11.069506

11.040026

10.285931

10.869413

11.28977

10.278776

13.169251

10.532862

11.757431

11.843736

11.479486

11.762281

12.149079

11.796485

11.683222

12.023346

12.436469

11.432234

hep-th/9909045

Theor. Phys. Group

Qiong-gui Lin

Pair creation of neutral particles in a vacuum by external electromagnetic fields in 2+1 dimensions

REVTeX, 5 pages, no figure

J.Phys.G25:1793-1795,1999

10.1088/0954-3899/25/9/302

null

hep-th

null

Neutral fermions of spin 1/2 with magnetic moment can interact with electromagnetic fields through nonminimal coupling. In 2+1 dimensions the electromagnetic field strength plays the same role to the magnetic moment as the vector potential to the electric charge. This duality enables one to obtain physical results for neutral particles from known ones for charged particles. We give the probability of neutral particle-antiparticle pair creation in the vacuum by non-uniform electromagnetic fields produced by constant uniform charge and current densities.

[ { "created": "Wed, 8 Sep 1999 12:12:56 GMT", "version": "v1" } ]

2008-11-26

[ [ "Lin", "Qiong-gui", "" ] ]

Neutral fermions of spin 1/2 with magnetic moment can interact with electromagnetic fields through nonminimal coupling. In 2+1 dimensions the electromagnetic field strength plays the same role to the magnetic moment as the vector potential to the electric charge. This duality enables one to obtain physical results for neutral particles from known ones for charged particles. We give the probability of neutral particle-antiparticle pair creation in the vacuum by non-uniform electromagnetic fields produced by constant uniform charge and current densities.

10.507616

10.245426

10.875922

10.141906

11.004841

10.70118

10.308239

9.824183

8.96917

12.801694

9.828356

9.590659

10.176263

10.27166

9.930089

9.522406

9.949035

10.150758

10.151645

10.228054

10.626991

2005.05482

Fri{\dh}rik Freyr Gautason

Fridrik Freyr Gautason

Janus and J-fold solutions in type IIB supergravity

12 pages. Contribution to the proceedings of the Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2019)

null

hep-th

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

I discuss recent supergravity constructions of type IIB holographic interfaces in four-dimensional ${\cal N}=1$ and ${\cal N}=4$ field theories. I explain how each holographic interface can be compactified on a circle with an SL$(2,{\bf Z})$ monodromy leading to a novel AdS$_4$ supergravity solution. These AdS$_4$ backgrounds are argued to be dual to so-called J-fold superconformal field theories in three dimensions.

[ { "created": "Mon, 11 May 2020 23:18:48 GMT", "version": "v1" } ]

2020-05-13

[ [ "Gautason", "Fridrik Freyr", "" ] ]

I discuss recent supergravity constructions of type IIB holographic interfaces in four-dimensional ${\cal N}=1$ and ${\cal N}=4$ field theories. I explain how each holographic interface can be compactified on a circle with an SL$(2,{\bf Z})$ monodromy leading to a novel AdS$_4$ supergravity solution. These AdS$_4$ backgrounds are argued to be dual to so-called J-fold superconformal field theories in three dimensions.

6.987062

5.991386

7.315266

6.379979

5.978405

6.372706

6.277756

6.055131

5.960214

8.434554

6.125213

6.191471

7.209305

6.436736

6.392848

6.209644

6.159309

6.280275

6.37602

7.253131

6.379413

hep-th/0509183

Luzi Bergamin

L. Bergamin (Vienna University of Technology)

Constant Dilaton Vacua and Kinks in 2D (Super-)Gravity

8 pages, Contributed to Third Workshop on Gravity, Astrophysics and Strings at the Black Sea, Kiten, Bulgaria, 13-20 Jun 2005. v2: reference update

null

hep-th

null

2D dilaton (super-)gravity contains a special class of solutions with constant dilaton, a kink-like solution connecting two of them was recently found in a specific model that corresponds to the KK reduced 3D Chern-Simons term. Here we develop the systematics of such solutions in generalized 2D dilaton gravity and supergravity. The existence and characteristics thereof essentially reduce to the discussion of the conformally invariant potential W, restrictions in supergravity come from the relation W=- 2 w^2. It is shown that all stable kink solutions allow a supersymmetric extension and are BPS therein. Some examples of polynomial potentials are presented.

[ { "created": "Fri, 23 Sep 2005 10:05:27 GMT", "version": "v1" }, { "created": "Tue, 6 Dec 2005 10:39:24 GMT", "version": "v2" } ]

2007-05-23

[ [ "Bergamin", "L.", "", "Vienna University of Technology" ] ]

2D dilaton (super-)gravity contains a special class of solutions with constant dilaton, a kink-like solution connecting two of them was recently found in a specific model that corresponds to the KK reduced 3D Chern-Simons term. Here we develop the systematics of such solutions in generalized 2D dilaton gravity and supergravity. The existence and characteristics thereof essentially reduce to the discussion of the conformally invariant potential W, restrictions in supergravity come from the relation W=- 2 w^2. It is shown that all stable kink solutions allow a supersymmetric extension and are BPS therein. Some examples of polynomial potentials are presented.

21.422594

21.387352

19.936758

18.685177

20.045153

20.391649

20.116697

18.896442

20.599945

23.528814

19.915617

17.841143

19.146511

17.395159

17.719603

17.501663

18.333746

17.392504

17.870007

19.281651

18.391619

hep-th/0406264

Andrei Starinets

Alex Buchel, James T. Liu, Andrei O. Starinets

Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang-Mills theory

15 pages; references added; a note on the normalization of the gauge coupling constant added in version 3

Nucl.Phys.B707:56-68,2005

10.1016/j.nuclphysb.2004.11.055

MCTP-04-38, INT-PUB 04-17

hep-th hep-ph

null

Gauge theory - gravity duality predicts that the shear viscosity of N=4 supersymmetric SU(N_c) Yang-Mills plasma at temperature T in the limit of large N_c and large 't Hooft coupling g^2_{YM} N_c is independent of the coupling and equals to \pi N_c^2 T^3/8. In this paper, we compute the leading correction to the shear viscosity in inverse powers of 't Hooft coupling using the \alpha'-corrected low-energy effective action of type IIB string theory. We also find the correction to the ratio of shear viscosity to the volume entropy density (equal to 1/4\pi in the limit of infinite coupling). The correction to 1/4\pi scales as (g^2_{YM} N_c)^{-3/2} with a positive coefficient.

[ { "created": "Tue, 29 Jun 2004 11:20:15 GMT", "version": "v1" }, { "created": "Mon, 4 Oct 2004 16:58:16 GMT", "version": "v2" }, { "created": "Wed, 11 Jul 2007 17:49:39 GMT", "version": "v3" } ]

2008-11-26

[ [ "Buchel", "Alex", "" ], [ "Liu", "James T.", "" ], [ "Starinets", "Andrei O.", "" ] ]

Gauge theory - gravity duality predicts that the shear viscosity of N=4 supersymmetric SU(N_c) Yang-Mills plasma at temperature T in the limit of large N_c and large 't Hooft coupling g^2_{YM} N_c is independent of the coupling and equals to \pi N_c^2 T^3/8. In this paper, we compute the leading correction to the shear viscosity in inverse powers of 't Hooft coupling using the \alpha'-corrected low-energy effective action of type IIB string theory. We also find the correction to the ratio of shear viscosity to the volume entropy density (equal to 1/4\pi in the limit of infinite coupling). The correction to 1/4\pi scales as (g^2_{YM} N_c)^{-3/2} with a positive coefficient.

4.145125

3.82875

4.523809

3.713953

4.047162

4.186614

3.847975

3.897816

3.670892

4.63462

3.63229

3.79152

3.903177

3.715522

3.709342

3.804317

3.636149

3.743486

3.681759

3.951568

3.825474