LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/0309239

Djordje Minic

Djordje Minic and Chia-Hsiung Tze

A General Theory of Quantum Relativity

13 pages, LaTex; An expanded version, including many clarifications, a new title and abstract as well as new references, to appear in Physics Letters B

Phys.Lett.B581:111-118,2004

10.1016/j.physletb.2003.11.054

VPI-IPPAP-03-10

hep-th gr-qc quant-ph

null

The geometric form of standard quantum mechanics is compatible with the two postulates: 1) The laws of physics are invariant under the choice of experimental setup and 2) Every quantum observation or event is intrinsically statistical. These postulates remain compatible within a background independent extension of quantum theory with a local intrinsic time implying the relativity of the concept of a quantum event. In this extension the space of quantum events becomes dynamical and only individual quantum events make sense observationally. At the core of such a general theory of quantum relativity is the three-way interplay between the symplectic form, the dynamical metric and non-integrable almost complex structure of the space of quantum events. Such a formulation provides a missing conceptual ingredient in the search for a background independent quantum theory of gravity and matter. The crucial new technical element in our scheme derives from a set of recent mathematical results on certain infinite dimensional almost Kahler manifolds which replace the complex projective spaces of standard quantum mechanics.

[ { "created": "Thu, 25 Sep 2003 21:52:10 GMT", "version": "v1" }, { "created": "Wed, 19 Nov 2003 23:48:56 GMT", "version": "v2" } ]

2008-11-26

[ [ "Minic", "Djordje", "" ], [ "Tze", "Chia-Hsiung", "" ] ]

The geometric form of standard quantum mechanics is compatible with the two postulates: 1) The laws of physics are invariant under the choice of experimental setup and 2) Every quantum observation or event is intrinsically statistical. These postulates remain compatible within a background independent extension of quantum theory with a local intrinsic time implying the relativity of the concept of a quantum event. In this extension the space of quantum events becomes dynamical and only individual quantum events make sense observationally. At the core of such a general theory of quantum relativity is the three-way interplay between the symplectic form, the dynamical metric and non-integrable almost complex structure of the space of quantum events. Such a formulation provides a missing conceptual ingredient in the search for a background independent quantum theory of gravity and matter. The crucial new technical element in our scheme derives from a set of recent mathematical results on certain infinite dimensional almost Kahler manifolds which replace the complex projective spaces of standard quantum mechanics.

11.135621

11.444885

11.656738

11.404042

12.167649

11.909943

11.848727

11.842629

10.94491

12.499467

10.977189

10.621026

11.124446

11.085592

10.771986

11.127267

10.955422

10.66609

11.243495

10.968266

11.068896

1606.06260

Dieter L\"ust

Artem Averin, Gia Dvali, Cesar Gomez, Dieter Lust

Goldstone origin of black hole hair from supertranslations and criticality

8 pages

null

10.1142/S0217732316300457

null

hep-th

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

Degrees of freedom that carry black hole entropy and hair can be described in the language of Goldstone phenomenon. They represent the pseudo-Goldstone bosons of certain supertranslations, called A-transformations, that are spontaneously broken by the black hole metric. This breaking gives rise to a tower of Goldstone bosons created by the spontaneously-broken generators that can be labeled by spherical harmonics. Classically, the number of charges is infinite, they have vanishing VEVs and the corresponding Goldstone modes are gapless. The resulting hair and entropy are infinite, but unresolvable. In quantum theory the two things happen. The number of legitimate Goldstone modes restricted by requirement of weak-coupling, becomes finite and scales as black hole area in Planck units. The Goldstones generate a tiny gap, controlled by their gravitational coupling. The gap turns out to be equal to the inverse of black hole half-life, $t_{BH}$. Correspondingly, in quantum theory the charges are neither conserved nor vanish, but non-conservation time is set by $t_{BH}$. This picture nicely matches with the idea of a black hole as of critical system composed of many soft gravitons. The A-Goldstones of geometric picture represent the near-gapless Bogoliubov-Goldstone modes of critical soft-graviton system.

[ { "created": "Mon, 20 Jun 2016 19:25:00 GMT", "version": "v1" } ]

2016-12-21

[ [ "Averin", "Artem", "" ], [ "Dvali", "Gia", "" ], [ "Gomez", "Cesar", "" ], [ "Lust", "Dieter", "" ] ]

Degrees of freedom that carry black hole entropy and hair can be described in the language of Goldstone phenomenon. They represent the pseudo-Goldstone bosons of certain supertranslations, called A-transformations, that are spontaneously broken by the black hole metric. This breaking gives rise to a tower of Goldstone bosons created by the spontaneously-broken generators that can be labeled by spherical harmonics. Classically, the number of charges is infinite, they have vanishing VEVs and the corresponding Goldstone modes are gapless. The resulting hair and entropy are infinite, but unresolvable. In quantum theory the two things happen. The number of legitimate Goldstone modes restricted by requirement of weak-coupling, becomes finite and scales as black hole area in Planck units. The Goldstones generate a tiny gap, controlled by their gravitational coupling. The gap turns out to be equal to the inverse of black hole half-life, $t_{BH}$. Correspondingly, in quantum theory the charges are neither conserved nor vanish, but non-conservation time is set by $t_{BH}$. This picture nicely matches with the idea of a black hole as of critical system composed of many soft gravitons. The A-Goldstones of geometric picture represent the near-gapless Bogoliubov-Goldstone modes of critical soft-graviton system.

14.241258

15.514055

14.391842

13.69957

14.610885

14.431188

14.355099

14.405804

13.424385

16.238369

14.29336

13.631692

13.617332

13.498384

13.569555

13.329258

13.452984

13.965187

13.464067

14.222684

13.847513

2310.09698

Yue-Zhou Li

Effective field theory bootstrap, large-N $\chi$PT and holographic QCD

58 pages, 15 figures, 1 table, latex; refs added, typo corrected, footnote added; error of eq (2.13) and Fig 2 added fixed

null

hep-th

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

We review the effective field theory (EFT) bootstrap by formulating it as an infinite-dimensional semidefinite program (SDP), built from the crossing symmetric sum rules and the S-matrix primal ansatz. We apply the program to study the large-$N$ chiral perturbation theory ($\chi$PT) and observe excellent convergence of EFT bounds between the dual (rule-out) and primal (rule-in) methods. This convergence aligns with the predictions of duality theory in SDP, enabling us to analyze the bound states and resonances in the ultra-violet (UV) spectrum. Furthermore, we incorporate the upper bound of unitarity to uniformly constrain the EFT space from the UV scale $M$ using the primal method, thereby confirming the consistency of the large-$N$ expansion. In the end, we translate the large-$N$ $\chi$PT bounds to constrain the higher derivative corrections of holographic QCD models.

[ { "created": "Sun, 15 Oct 2023 01:30:30 GMT", "version": "v1" }, { "created": "Sun, 5 Nov 2023 18:11:20 GMT", "version": "v2" }, { "created": "Sat, 10 Aug 2024 13:01:39 GMT", "version": "v3" } ]

2024-08-13

[ [ "Li", "Yue-Zhou", "" ] ]

We review the effective field theory (EFT) bootstrap by formulating it as an infinite-dimensional semidefinite program (SDP), built from the crossing symmetric sum rules and the S-matrix primal ansatz. We apply the program to study the large-$N$ chiral perturbation theory ($\chi$PT) and observe excellent convergence of EFT bounds between the dual (rule-out) and primal (rule-in) methods. This convergence aligns with the predictions of duality theory in SDP, enabling us to analyze the bound states and resonances in the ultra-violet (UV) spectrum. Furthermore, we incorporate the upper bound of unitarity to uniformly constrain the EFT space from the UV scale $M$ using the primal method, thereby confirming the consistency of the large-$N$ expansion. In the end, we translate the large-$N$ $\chi$PT bounds to constrain the higher derivative corrections of holographic QCD models.

12.078315

11.945263

12.578253

11.352577

12.002143

11.92345

12.501052

11.899379

11.492578

13.946943

11.208311

11.772831

11.722789

11.516066

11.589726

11.246533

11.832234

11.318419

11.541683

12.885846

11.317731

2204.08751

Jia Tian

Islands in Generalized Dilaton Theories

27 pages

null

hep-th

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

In this work we systematically study the island formula in the general asymptotically flat eternal black holes in generalized dilaton gravity theories or in higher dimensional spherical black holes. Under some reasonable and mild assumptions we prove that the island always appears barely outside of the horizon in the late time of Hawking radiation so that the information paradox is resolved. In particular, we find proper island in Liouville black hole which solves the puzzle of arXiv:2105.03271.

[ { "created": "Tue, 19 Apr 2022 08:44:45 GMT", "version": "v1" } ]

2022-04-20

[ [ "Tian", "Jia", "" ] ]

In this work we systematically study the island formula in the general asymptotically flat eternal black holes in generalized dilaton gravity theories or in higher dimensional spherical black holes. Under some reasonable and mild assumptions we prove that the island always appears barely outside of the horizon in the late time of Hawking radiation so that the information paradox is resolved. In particular, we find proper island in Liouville black hole which solves the puzzle of arXiv:2105.03271.

19.011894

15.348289

18.21895

11.941672

13.863026

14.14361

14.451832

12.53447

13.450948

18.050024

12.716455

14.352949

14.453324

13.726307

14.187951

14.252994

13.436482

13.998453

13.665844

14.010963

14.173924

hep-th/0612259

Kevin E. Cahill

Kevin Cahill

Rotations and Statistics

A 13-page pedagogical paper inspired by an old remark of Wigner's

null

hep-th

null

The way a field transforms under rotations determines its statistics--as is easy to see for scalar, Dirac, and vector fields.

[ { "created": "Sun, 24 Dec 2006 07:33:11 GMT", "version": "v1" } ]

2007-05-23

[ [ "Cahill", "Kevin", "" ] ]

The way a field transforms under rotations determines its statistics--as is easy to see for scalar, Dirac, and vector fields.

29.568686

20.767763

24.611826

18.067556

21.870123

22.404295

18.167812

19.904694

19.222279

28.335745

18.242851

19.261595

20.517719

19.586273

19.515463

19.519316

19.520052

19.397198

19.697556

20.719254

19.785845

1512.01231

{\L}ukasz T. St\k{e}pie\'n

L. T. Stepien

Bogomolny equation for the BPS Skyrme model from the strong necessary conditions

Some references (with their arXiv numbers) and the arXiv numbers of the other references, have been added. Some sentence in "Introduction" and the section "Acknowledgments" have been added, too

null

10.1088/1751-8113/49/17/175202

null

hep-th math-ph math.MP

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

We present a systematic tool of derivation of the Bogomolny equation for the BPS Skyrme model. Furthermore, we find a generalization of the Bogomolny equation to the case corresponding with a non-zero value of the external pressure. The method is based on the concept of strong necessary conditions and can be applied to any Skyrme like theory.

[ { "created": "Thu, 3 Dec 2015 22:36:29 GMT", "version": "v1" }, { "created": "Tue, 8 Dec 2015 19:30:03 GMT", "version": "v2" } ]

2016-04-20

[ [ "Stepien", "L. T.", "" ] ]

We present a systematic tool of derivation of the Bogomolny equation for the BPS Skyrme model. Furthermore, we find a generalization of the Bogomolny equation to the case corresponding with a non-zero value of the external pressure. The method is based on the concept of strong necessary conditions and can be applied to any Skyrme like theory.

10.600946

10.025826

10.653506

9.23551

9.05227

8.778314

8.808928

9.334576

9.087648

11.20686

8.859028

9.069362

9.659956

9.295355

9.126427

9.258211

9.348654

9.503699

9.393174

9.654916

9.064237

hep-th/0701249

Leonardo Rastelli

Michael Kiermaier, Yuji Okawa, Leonardo Rastelli and Barton Zwiebach

Analytic Solutions for Marginal Deformations in Open String Field Theory

34 pages, LaTeX2e, 1 figure; v2: minor corrections, version published in JHEP

JHEP0801:028,2008

10.1088/1126-6708/2008/01/028

MIT-CTP-3806, DESY 07-007, YITP-SB-07-3

hep-th

null

We develop a calculable analytic approach to marginal deformations in open string field theory using wedge states with operator insertions. For marginal operators with regular operator products, we construct analytic solutions to all orders in the deformation parameter. In particular, we construct an exact time-dependent solution that describes D-brane decay and incorporates all alpha' corrections. For marginal operators with singular operator products, we construct solutions by regularizing the singularity and adding counterterms. We explicitly carry out the procedure to third order in the deformation parameter.

[ { "created": "Fri, 26 Jan 2007 19:44:04 GMT", "version": "v1" }, { "created": "Wed, 30 Jan 2008 05:50:42 GMT", "version": "v2" } ]

2008-11-26

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

We develop a calculable analytic approach to marginal deformations in open string field theory using wedge states with operator insertions. For marginal operators with regular operator products, we construct analytic solutions to all orders in the deformation parameter. In particular, we construct an exact time-dependent solution that describes D-brane decay and incorporates all alpha' corrections. For marginal operators with singular operator products, we construct solutions by regularizing the singularity and adding counterterms. We explicitly carry out the procedure to third order in the deformation parameter.

8.980045

8.592675

10.282796

8.585238

8.314606

7.877384

7.72191

8.097494

7.703135

11.223372

8.421509

8.555379

9.747001

8.695251

8.902346

8.913636

8.499068

9.065713

8.629786

9.459664

8.547342

hep-th/0410102

Satoru Odake

S. Odake and R. Sasaki

Shape Invariant Potentials in "Discrete Quantum Mechanics"

15 pages, 1 figure. Contribution to a special issue of Journal of Nonlinear Mathematical Physics in honour of Francesco Calogero on the occasion of his seventieth birthday

J.Nonlin.Math.Phys. 12 (2005) S507-S521

10.2991/jnmp.2005.12.s1.41

DPSU-04-3, YITP-04-55

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

null

Shape invariance is an important ingredient of many exactly solvable quantum mechanics. Several examples of shape invariant ``discrete quantum mechanical systems" are introduced and discussed in some detail. They arise in the problem of describing the equilibrium positions of Ruijsenaars-Schneider type systems, which are "discrete" counterparts of Calogero and Sutherland systems, the celebrated exactly solvable multi-particle dynamics. Deformed Hermite and Laguerre polynomials are the typical examples of the eigenfunctions of the above shape invariant discrete quantum mechanical systems.

[ { "created": "Sun, 10 Oct 2004 07:57:33 GMT", "version": "v1" } ]

2015-06-26

[ [ "Odake", "S.", "" ], [ "Sasaki", "R.", "" ] ]

Shape invariance is an important ingredient of many exactly solvable quantum mechanics. Several examples of shape invariant ``discrete quantum mechanical systems" are introduced and discussed in some detail. They arise in the problem of describing the equilibrium positions of Ruijsenaars-Schneider type systems, which are "discrete" counterparts of Calogero and Sutherland systems, the celebrated exactly solvable multi-particle dynamics. Deformed Hermite and Laguerre polynomials are the typical examples of the eigenfunctions of the above shape invariant discrete quantum mechanical systems.

9.329592

9.206947

11.18694

8.209765

8.259696

8.258604

8.758554

8.524173

8.830853

11.295944

8.557197

8.836821

9.648036

8.73516

8.548979

8.789665

8.819679

8.781559

8.81737

9.571786

9.273289

0805.2498

Alessio Marrani

S. Ferrara, K. Hayakawa, A. Marrani

Erice Lectures on Black Holes and Attractors

1+65 pages, 5 figures, 4 tables. Contribution to the Proceedings of the International School of Subnuclear Physics, 45th Course: Search for the "Totally Unexpected" in the LHC era, Erice, Italy, 29 August - 7 September 2007 (Directors: G. 't Hooft - A. Zichichi). v2: typos fixed in Eqs. (4.21), (4.24) and (4.25)

Fortsch.Phys.56:993-1046,2008

10.1002/prop.200810569

CERN-PH-TH/2008-002; UCLA/08/TEP/11

hep-th

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

These lectures give an elementary introduction to the subject of four dimensional black holes (BHs) in supergravity and the Attractor Mechanism in the extremal case. Some thermodynamical properties are discussed and some relevant formulae for the critical points of the BH effective potential are given. The case of Maxwell-Einstein-axion-dilaton (super)gravity is discussed in detail. Analogies among BH entropy and multipartite entanglement of qubits in quantum information theory, as well moduli spaces of extremal BH attractors, are also discussed.

[ { "created": "Fri, 16 May 2008 10:32:50 GMT", "version": "v1" }, { "created": "Sat, 17 Jan 2009 16:50:16 GMT", "version": "v2" } ]

2009-03-04

[ [ "Ferrara", "S.", "" ], [ "Hayakawa", "K.", "" ], [ "Marrani", "A.", "" ] ]

These lectures give an elementary introduction to the subject of four dimensional black holes (BHs) in supergravity and the Attractor Mechanism in the extremal case. Some thermodynamical properties are discussed and some relevant formulae for the critical points of the BH effective potential are given. The case of Maxwell-Einstein-axion-dilaton (super)gravity is discussed in detail. Analogies among BH entropy and multipartite entanglement of qubits in quantum information theory, as well moduli spaces of extremal BH attractors, are also discussed.

10.490642

9.383113

11.144109

9.219223

10.287642

10.166524

9.160814

8.951333

8.898074

11.652232

9.31947

8.888865

9.111289

8.845959

8.967963

8.672081

8.775061

9.011492

8.731468

9.829633

8.602633

1602.01470

Gianluca Calcagni

ABC of multi-fractal spacetimes and fractional sea turtles

20 pages, 1 figure. v2: typos corrected, minor improvements of the text

Eur. Phys. J. C 76 (2016) 181

10.1140/epjc/s10052-016-4021-0

null

hep-th math-ph math.MP

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

We clarify what it means to have a spacetime fractal geometry in quantum gravity and show that its properties differ from those of usual fractals. A weak and a strong definition of multi-scale and multi-fractal spacetimes are given together with a sketch of the landscape of multi-scale theories of gravitation. Then, in the context of the fractional theory with $q$-derivatives, we explore the consequences of living in a multi-fractal spacetime. To illustrate the behavior of a non-relativistic body, we take the entertaining example of a sea turtle. We show that, when only the time direction is fractal, sea turtles swim at a faster speed than in an ordinary world, while they swim at a slower speed if only the spatial directions are fractal. The latter type of geometry is the one most commonly found in quantum gravity. For time-like fractals, relativistic objects can exceed the speed of light, but strongly so only if their size is smaller than the range of particle-physics interactions. We also find new results about log-oscillating measures, the measure presentation and their role in physical observations and in future extensions to nowhere-differentiable stochastic spacetimes.

[ { "created": "Wed, 3 Feb 2016 21:00:03 GMT", "version": "v1" }, { "created": "Wed, 6 Apr 2016 11:05:21 GMT", "version": "v2" } ]

2016-04-07

[ [ "Calcagni", "Gianluca", "" ] ]

We clarify what it means to have a spacetime fractal geometry in quantum gravity and show that its properties differ from those of usual fractals. A weak and a strong definition of multi-scale and multi-fractal spacetimes are given together with a sketch of the landscape of multi-scale theories of gravitation. Then, in the context of the fractional theory with $q$-derivatives, we explore the consequences of living in a multi-fractal spacetime. To illustrate the behavior of a non-relativistic body, we take the entertaining example of a sea turtle. We show that, when only the time direction is fractal, sea turtles swim at a faster speed than in an ordinary world, while they swim at a slower speed if only the spatial directions are fractal. The latter type of geometry is the one most commonly found in quantum gravity. For time-like fractals, relativistic objects can exceed the speed of light, but strongly so only if their size is smaller than the range of particle-physics interactions. We also find new results about log-oscillating measures, the measure presentation and their role in physical observations and in future extensions to nowhere-differentiable stochastic spacetimes.

11.909563

13.125562

11.992938

12.169681

12.807528

12.355918

13.557971

12.281586

12.246121

12.384695

11.912659

11.769877

12.056754

11.763403

11.898508

11.837799

11.991237

11.793128

11.995629

12.037659

12.041626

1405.3698

C. S. Shahbazi

Mariana Gra\~na, C. S. Shahbazi and Marco Zambon

Spin(7)-manifolds in compactifications to four dimensions

50 pages. We have included Proposition 6.4 about elliptic fibrations in relation to a pair of vector fields. We have also included Remark 5.13, thanks to an internal communication by Dominic Joyce. Discussion about the relation of singular foliations and D7-branes included

High Energ. Phys. (2014) 2014: 46

10.1007/JHEP11(2014)046

null

hep-th math.DG

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

We describe off-shell $\mathcal{N}=1$ M-theory compactifications down to four dimensions in terms of eight-dimensional manifolds equipped with a topological $Spin(7)$-structure. Motivated by the exceptionally generalized geometry formulation of M-theory compactifications, we consider an eight-dimensional manifold $\mathcal{M}_{8}$ equipped with a particular set of tensors $\mathfrak{S}$ that allow to naturally embed in $\mathcal{M}_{8}$ a family of $G_{2}$-structure seven-dimensional manifolds as the leaves of a codimension-one foliation. Under a different set of assumptions, $\mathfrak{S}$ allows to make $\mathcal{M}_{8}$ into a principal $S^{1}$ bundle, which is equipped with a topological $Spin(7)$-structure if the base is equipped with a topological $G_{2}$-structure. We also show that $\mathfrak{S}$ can be naturally used to describe regular as well as a singular elliptic fibrations on $\mathcal{M}_{8}$, which may be relevant for F-theory applications, and prove several mathematical results concerning the relation between topological $G_{2}$-structures in seven dimensions and topological $Spin(7)$-structures in eight dimensions.

[ { "created": "Wed, 14 May 2014 21:39:44 GMT", "version": "v1" }, { "created": "Fri, 20 Jun 2014 00:43:40 GMT", "version": "v2" }, { "created": "Mon, 22 Sep 2014 21:56:44 GMT", "version": "v3" } ]

2016-11-30

[ [ "Graña", "Mariana", "" ], [ "Shahbazi", "C. S.", "" ], [ "Zambon", "Marco", "" ] ]

We describe off-shell $\mathcal{N}=1$ M-theory compactifications down to four dimensions in terms of eight-dimensional manifolds equipped with a topological $Spin(7)$-structure. Motivated by the exceptionally generalized geometry formulation of M-theory compactifications, we consider an eight-dimensional manifold $\mathcal{M}_{8}$ equipped with a particular set of tensors $\mathfrak{S}$ that allow to naturally embed in $\mathcal{M}_{8}$ a family of $G_{2}$-structure seven-dimensional manifolds as the leaves of a codimension-one foliation. Under a different set of assumptions, $\mathfrak{S}$ allows to make $\mathcal{M}_{8}$ into a principal $S^{1}$ bundle, which is equipped with a topological $Spin(7)$-structure if the base is equipped with a topological $G_{2}$-structure. We also show that $\mathfrak{S}$ can be naturally used to describe regular as well as a singular elliptic fibrations on $\mathcal{M}_{8}$, which may be relevant for F-theory applications, and prove several mathematical results concerning the relation between topological $G_{2}$-structures in seven dimensions and topological $Spin(7)$-structures in eight dimensions.

4.773427

4.720917

4.96039

4.576345

4.694513

4.729585

4.558045

4.389559

4.535419

5.391616

4.604699

4.702251

4.882298

4.591712

4.621486

4.632088

4.564942

4.645123

4.574637

4.879527

4.609532

1412.3763

Marcus Spradlin

James M. Drummond, Georgios Papathanasiou, Marcus Spradlin

A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon

30 pages, 3 ancillary files, v3: minor corrections, including a typo in (33)

null

10.1007/JHEP03(2015)072

CERN-PH-TH-2014-256, LAPTH-232/14

hep-th

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

Seven-particle scattering amplitudes in planar super-Yang-Mills theory are believed to belong to a special class of generalised polylogarithm functions called heptagon functions. These are functions with physical branch cuts whose symbols may be written in terms of the 42 cluster A-coordinates on Gr(4,7). Motivated by the success of the hexagon bootstrap programme for constructing six-particle amplitudes we initiate the systematic study of the symbols of heptagon functions. We find that there is exactly one such symbol of weight six which satisfies the MHV last-entry condition and is finite in the $7 \parallel 6$ collinear limit. This unique symbol is both dihedral and parity-symmetric, and remarkably its collinear limit is exactly the symbol of the three-loop six-particle MHV amplitude, although none of these properties were assumed a priori. It must therefore be the symbol of the three-loop seven-particle MHV amplitude. The simplicity of its construction suggests that the n-gon bootstrap may be surprisingly powerful for n>6.

[ { "created": "Thu, 11 Dec 2014 18:58:09 GMT", "version": "v1" }, { "created": "Thu, 12 Feb 2015 02:25:39 GMT", "version": "v2" }, { "created": "Tue, 10 Nov 2015 03:57:58 GMT", "version": "v3" } ]

2015-11-11

[ [ "Drummond", "James M.", "" ], [ "Papathanasiou", "Georgios", "" ], [ "Spradlin", "Marcus", "" ] ]

Seven-particle scattering amplitudes in planar super-Yang-Mills theory are believed to belong to a special class of generalised polylogarithm functions called heptagon functions. These are functions with physical branch cuts whose symbols may be written in terms of the 42 cluster A-coordinates on Gr(4,7). Motivated by the success of the hexagon bootstrap programme for constructing six-particle amplitudes we initiate the systematic study of the symbols of heptagon functions. We find that there is exactly one such symbol of weight six which satisfies the MHV last-entry condition and is finite in the $7 \parallel 6$ collinear limit. This unique symbol is both dihedral and parity-symmetric, and remarkably its collinear limit is exactly the symbol of the three-loop six-particle MHV amplitude, although none of these properties were assumed a priori. It must therefore be the symbol of the three-loop seven-particle MHV amplitude. The simplicity of its construction suggests that the n-gon bootstrap may be surprisingly powerful for n>6.

8.687517

8.915558

10.830636

8.423619

9.422475

9.427589

9.372373

8.115359

8.106683

13.21331

8.176844

8.080896

9.031202

8.597223

8.244131

8.262908

8.522311

8.452616

8.518606

9.469203

8.210344

2103.08166

Eunseok Oh

Eunseok Oh, Taewon Yuk, Sang-Jin Sin

The emergence of Strange metal and Topological Liquid near Quantum Critical Point in a solvable model

5 main + 6 supplementary pages, 4 + 2 figures

null

10.1007/JHEP11(2021)207

null

hep-th cond-mat.str-el

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

We discuss quantum phase transition by an exactly solvable model in the dual gravity setup. By considering the effect of the scalar condensation on the fermion spectrum near the quantum critical point(QCP), we find that there is a topologically protected fermion zero mode associated with the metal to insulator transition. We also show that the strange metal phase with T-linear resistivity emerges at high enough temperature as far as the gravity has a horizon. The phase boundaries are calculated according to the density of states, giving insights on structures of the phase diagram near the QCP.

[ { "created": "Mon, 15 Mar 2021 07:19:43 GMT", "version": "v1" } ]

2021-12-08

[ [ "Oh", "Eunseok", "" ], [ "Yuk", "Taewon", "" ], [ "Sin", "Sang-Jin", "" ] ]

We discuss quantum phase transition by an exactly solvable model in the dual gravity setup. By considering the effect of the scalar condensation on the fermion spectrum near the quantum critical point(QCP), we find that there is a topologically protected fermion zero mode associated with the metal to insulator transition. We also show that the strange metal phase with T-linear resistivity emerges at high enough temperature as far as the gravity has a horizon. The phase boundaries are calculated according to the density of states, giving insights on structures of the phase diagram near the QCP.

11.774237

11.162686

11.765742

11.537716

11.301291

11.812589

12.056467

11.182788

11.419801

13.438321

10.883187

11.214953

11.533929

10.889482

10.747171

11.008964

11.052206

10.964512

11.043756

11.581592

10.898419

hep-th/0304138

Masaki Shigemori

Per Kraus, Anton V. Ryzhov, and Masaki Shigemori

Loop equations, matrix models, and N=1 supersymmetric gauge theories

27 pages, amstex, no figures. v2: references added. v3: minor corrections

JHEP 0305 (2003) 059

10.1088/1126-6708/2003/05/059

UCLA/03/TEP/13

hep-th

null

We derive the Konishi anomaly equations for N=1 supersymmetric gauge theories based on the classical gauge groups with matter in two-index tensor and fundamental representations, thus extending the existing results for U(N). A general formula is obtained which expresses solutions to the Konishi anomaly equation in terms of solutions to the loop equations of the corresponding matrix model. This provides an alternative to the diagrammatic proof that the perturbative part of the glueball superpotential $W_{\rm eff}$ for these matter representations can be computed from matrix model integrals, and further shows that the two approaches always give the same result. The anomaly approach is found to be computationally more efficient in the cases we studied. Also, we show in the anomaly approach how theories with a traceless two-index tensor can be solved using an associated theory with a traceful tensor and appropriately chosen coupling constants.

[ { "created": "Tue, 15 Apr 2003 18:21:26 GMT", "version": "v1" }, { "created": "Wed, 16 Apr 2003 22:09:08 GMT", "version": "v2" }, { "created": "Thu, 1 May 2003 00:53:58 GMT", "version": "v3" } ]

2009-11-10

[ [ "Kraus", "Per", "" ], [ "Ryzhov", "Anton V.", "" ], [ "Shigemori", "Masaki", "" ] ]

We derive the Konishi anomaly equations for N=1 supersymmetric gauge theories based on the classical gauge groups with matter in two-index tensor and fundamental representations, thus extending the existing results for U(N). A general formula is obtained which expresses solutions to the Konishi anomaly equation in terms of solutions to the loop equations of the corresponding matrix model. This provides an alternative to the diagrammatic proof that the perturbative part of the glueball superpotential $W_{\rm eff}$ for these matter representations can be computed from matrix model integrals, and further shows that the two approaches always give the same result. The anomaly approach is found to be computationally more efficient in the cases we studied. Also, we show in the anomaly approach how theories with a traceless two-index tensor can be solved using an associated theory with a traceful tensor and appropriately chosen coupling constants.

9.709369

8.757217

10.386868

8.673037

8.925862

9.1658

8.939358

8.12693

8.423576

10.695596

8.83455

8.713819

9.652605

8.894957

8.779634

8.96335

9.20003

8.929351

8.740656

9.703576

8.859797

1302.5144

Satoshi Nawata

Satoshi Nawata and P. Ramadevi and Zodinmawia

Colored HOMFLY polynomials from Chern-Simons theory

40 pages, 23 figures, a Mathematica notebook linked on the right as an ancillary file; v2 typos corrected; v3 corrections in section 4.2 and cosmetic changes; v4 corrections in two-component links

null

NIKHEF-2013-006

hep-th math-ph math.MP

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

We elaborate the Chern-Simons field theoretic method to obtain colored HOMFLY invariants of knots and links. Using multiplicity-free quantum 6j-symbols for U_q(sl_N), we present explicit evaluations of the HOMFLY invariants colored by symmetric representations for a variety of knots, two-component links and three-component links.

[ { "created": "Wed, 20 Feb 2013 23:15:55 GMT", "version": "v1" }, { "created": "Mon, 4 Mar 2013 19:34:05 GMT", "version": "v2" }, { "created": "Wed, 6 Mar 2013 17:36:20 GMT", "version": "v3" }, { "created": "Mon, 22 Jul 2013 14:52:56 GMT", "version": "v4" } ]

2013-07-23

[ [ "Nawata", "Satoshi", "" ], [ "Ramadevi", "P.", "" ], [ "Zodinmawia", "", "" ] ]

We elaborate the Chern-Simons field theoretic method to obtain colored HOMFLY invariants of knots and links. Using multiplicity-free quantum 6j-symbols for U_q(sl_N), we present explicit evaluations of the HOMFLY invariants colored by symmetric representations for a variety of knots, two-component links and three-component links.

9.686625

6.284398

11.169871

8.065254

8.565498

8.241372

8.188617

6.908418

7.474992

11.607275

6.656434

8.431938

10.497413

8.366895

8.262424

8.243685

8.219869

8.450365

8.4741

10.279688

8.398205

0711.4671

Sandip P. Trivedi

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

Duality Symmetry and the Cardy Limit

46 pages, Latex, Some comments added in Introduction and Conclusions. Minor changes made in sections 3.4 and 5

JHEP 0807:072,2008

10.1088/1126-6708/2008/07/072

IITM/PH/TH/2007/14, TIFR/TH/07-35

hep-th

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

We study supersymmetric and non-supersymmetric extremal black holes obtained in Type IIA string theory compactified on K3 X T^2, with duality group O(6,22,Z) X SL(2,Z). In the Cardy limit an internal circle combines with the AdS_2 component in the near horizon geometry to give a BTZ black hole whose entropy is given by the Cardy formula. We study black holes carrying D0-D4 and D0-D6 brane charges. We find, both in the supersymmetric and non-supersymmetric cases, that a generic set of charges cannot be brought to the Cardy limit using the duality symmetries. In the non-supersymmetric case, unlike the supersymmetric one, we find that when the charges are large, a small fractional change in them always allows the charges to be taken to the Cardy limit. These results could lead to a microscopic determination of the entropy for extremal non-supersymmetric black holes, including rotating cases like the extreme Kerr black hole in four dimensions.

[ { "created": "Thu, 29 Nov 2007 09:13:06 GMT", "version": "v1" }, { "created": "Thu, 17 Apr 2008 11:04:49 GMT", "version": "v2" }, { "created": "Thu, 26 Jun 2008 09:43:14 GMT", "version": "v3" } ]

2009-11-19

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

We study supersymmetric and non-supersymmetric extremal black holes obtained in Type IIA string theory compactified on K3 X T^2, with duality group O(6,22,Z) X SL(2,Z). In the Cardy limit an internal circle combines with the AdS_2 component in the near horizon geometry to give a BTZ black hole whose entropy is given by the Cardy formula. We study black holes carrying D0-D4 and D0-D6 brane charges. We find, both in the supersymmetric and non-supersymmetric cases, that a generic set of charges cannot be brought to the Cardy limit using the duality symmetries. In the non-supersymmetric case, unlike the supersymmetric one, we find that when the charges are large, a small fractional change in them always allows the charges to be taken to the Cardy limit. These results could lead to a microscopic determination of the entropy for extremal non-supersymmetric black holes, including rotating cases like the extreme Kerr black hole in four dimensions.

6.085214

6.075396

6.455153

5.685338

6.259437

5.919014

5.786151

5.807779

5.668405

7.341424

5.690608

5.925023

6.108958

5.617916

5.732908

5.705211

5.543456

5.767233

5.632918

6.035872

5.576591

2303.02487

Mohammadreza Alipour

Mohammad Reza Alipour, Jafar Sadeghi, Mehdi Shokri

WGC and WCCC of black holes with quintessence and cloud strings in RPS space

to appear in Nucl. Phys. B

null

10.1016/j.nuclphysb.2023.116184

null

hep-th gr-qc

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

In this paper, we first introduce the Riesner-Nordstrom AdS (RN-AdS) black hole in presence of quintessence and cloud of strings. And then we use the Restrict Phase Space $(RPS)$ formalism in the corresponding black holes at the critical point with equation state $\omega_q =-\frac{1}{3},-\frac{2}{3},-1 $. We take advantage from the central charge and Newton's constant with form of variable and prove the compatibility between weak gravity conjecture (WGC) and weak cosmic censorship conjecture (WCCC). Here, we show that when we use the usual RN-AdS black hole with $\frac{Q}{M}>\sqrt{G}$ condition, we have weak gravity conjecture. But, in that case, the WCCC is violated by WGC conjecture. In order to avoid such violation, we consider the Riesner-Nordstrom AdS (RN-AdS) black hole in the presence of quintessence, quintessence, and cloud strings. Here, also one can say that, by using the special central charge, chemical potential, appropriate quintessence, cloud strings parameters, and the effective Newton's constant with suitable conditions one can arrive the compatibility between weak gravity conjecture and weak cosmic censorship conjecture.

[ { "created": "Sat, 4 Mar 2023 19:47:25 GMT", "version": "v1" } ]

2023-04-26

[ [ "Alipour", "Mohammad Reza", "" ], [ "Sadeghi", "Jafar", "" ], [ "Shokri", "Mehdi", "" ] ]

In this paper, we first introduce the Riesner-Nordstrom AdS (RN-AdS) black hole in presence of quintessence and cloud of strings. And then we use the Restrict Phase Space $(RPS)$ formalism in the corresponding black holes at the critical point with equation state $\omega_q =-\frac{1}{3},-\frac{2}{3},-1 $. We take advantage from the central charge and Newton's constant with form of variable and prove the compatibility between weak gravity conjecture (WGC) and weak cosmic censorship conjecture (WCCC). Here, we show that when we use the usual RN-AdS black hole with $\frac{Q}{M}>\sqrt{G}$ condition, we have weak gravity conjecture. But, in that case, the WCCC is violated by WGC conjecture. In order to avoid such violation, we consider the Riesner-Nordstrom AdS (RN-AdS) black hole in the presence of quintessence, quintessence, and cloud strings. Here, also one can say that, by using the special central charge, chemical potential, appropriate quintessence, cloud strings parameters, and the effective Newton's constant with suitable conditions one can arrive the compatibility between weak gravity conjecture and weak cosmic censorship conjecture.

9.452331

9.33078

8.503469

8.443522

8.840405

8.541915

8.569942

8.718057

8.648661

9.700114

8.958776

8.82384

8.916492

8.743794

8.70578

8.747573

9.183267

8.728186

9.141441

8.780519

8.956323

0904.0588

Hossein Yavartanoo

Eoin \'O Colg\'ain and Hossein Yavartanoo

NR $CFT_3$ duals in M-theory

18 pages, Minor corrections and added references

JHEP 0909:002,2009

10.1088/1126-6708/2009/09/002

null

hep-th

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

We extend the search for supergravity solution duals of non-relativistic $d=3$ CFTs to $d=11$ supergravity. We consider the internal space to be an $S^2$ bundle over a product base: $S^2 \times S^2$ and $S^2 \times T^2$. For purely M-theoretic $S^2 \times S^2$, we find only magnetic fluxes preserving two supersymmetries. $S^2 \times T^2$ is far richer admitting in addition to magnetic fluxes, various non-trivial electric fluxes which break all supersymmetry.

[ { "created": "Fri, 3 Apr 2009 14:41:21 GMT", "version": "v1" }, { "created": "Sun, 5 Apr 2009 13:11:00 GMT", "version": "v2" }, { "created": "Mon, 28 Sep 2009 05:08:52 GMT", "version": "v3" } ]

2009-09-28

[ [ "Colgáin", "Eoin Ó", "" ], [ "Yavartanoo", "Hossein", "" ] ]

We extend the search for supergravity solution duals of non-relativistic $d=3$ CFTs to $d=11$ supergravity. We consider the internal space to be an $S^2$ bundle over a product base: $S^2 \times S^2$ and $S^2 \times T^2$. For purely M-theoretic $S^2 \times S^2$, we find only magnetic fluxes preserving two supersymmetries. $S^2 \times T^2$ is far richer admitting in addition to magnetic fluxes, various non-trivial electric fluxes which break all supersymmetry.

5.888476

5.804954

6.587799

5.768765

5.756053

5.820804

6.040041

5.540582

5.550351

7.530218

5.567837

5.528735

6.392022

5.561476

5.679936

5.479386

5.712241

5.801527

5.514898

6.328761

5.603153

1305.1913

David Kastor

Basem Mahmoud El-Menoufi, Benjamin Ett, David Kastor, Jennie Traschen

Sum Rule for the ADM Mass and Tensions in Planar AdS Spacetimes

15 pages; v2 minor changes

null

10.1088/0264-9381/30/20/205006

null

hep-th

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

An asymptotically planar AdS spacetimes is characterized by its ADM mass and tensions. We define an additional ADM charge Q associated with the scaling Killing vector of AdS, show that Q is given by a certain sum over the ADM mass and tensions and that Q vanishes on solutions to the Einstein equation with negative cosmological constant. The sum rule for the mass and tensions thus established corresponds in an AdS/CFT context to the vanishing of the trace of the boundary stress tensor. We also show that an analogous sum rule holds for local planar sources of stress-energy sources in AdS. In a simple model consisting of a static, plane symmetric source we find that the perturbative stress-energy tensor must be tracefree.

[ { "created": "Wed, 8 May 2013 18:44:02 GMT", "version": "v1" }, { "created": "Thu, 23 May 2013 21:46:28 GMT", "version": "v2" } ]

2015-06-15

[ [ "El-Menoufi", "Basem Mahmoud", "" ], [ "Ett", "Benjamin", "" ], [ "Kastor", "David", "" ], [ "Traschen", "Jennie", "" ] ]

An asymptotically planar AdS spacetimes is characterized by its ADM mass and tensions. We define an additional ADM charge Q associated with the scaling Killing vector of AdS, show that Q is given by a certain sum over the ADM mass and tensions and that Q vanishes on solutions to the Einstein equation with negative cosmological constant. The sum rule for the mass and tensions thus established corresponds in an AdS/CFT context to the vanishing of the trace of the boundary stress tensor. We also show that an analogous sum rule holds for local planar sources of stress-energy sources in AdS. In a simple model consisting of a static, plane symmetric source we find that the perturbative stress-energy tensor must be tracefree.

13.371417

12.040952

12.376146

12.287836

12.874109

11.796949

12.444905

11.362421

12.457575

13.600505

12.345985

11.58503

11.522843

11.364574

11.62812

12.055161

12.192042

11.587701

11.797276

12.21517

11.798848

hep-th/9905055

Anazawa Masahiro

Masahiro Anazawa (YITP, Kyoto Univ.)

D0-branes in an H-field Background and Noncommutative Geometry

15 pages, LaTeX; some comments added, typos corrected, to appear in Nucl. Phys. B

Nucl.Phys.B569:680-692,2000

10.1016/S0550-3213(99)00584-2

YITP-99-26

hep-th

null

It is known that if we compactify D0-branes on a torus with constant B-field, the resulting theory becomes SYM theory on a noncommutative dual torus. We discuss the extension to the case of a H-field background. In the case of constant H-field on a three-torus, we derive the constraints to realize this compactification by considering the correspondence to string theory. We carry out this work as a first step to examine the possibility to describe transverse M5-branes in Matrix theory.

[ { "created": "Sat, 8 May 1999 14:35:12 GMT", "version": "v1" }, { "created": "Wed, 12 May 1999 05:09:57 GMT", "version": "v2" }, { "created": "Fri, 10 Sep 1999 09:42:20 GMT", "version": "v3" } ]

2010-11-19

[ [ "Anazawa", "Masahiro", "", "YITP, Kyoto Univ." ] ]

It is known that if we compactify D0-branes on a torus with constant B-field, the resulting theory becomes SYM theory on a noncommutative dual torus. We discuss the extension to the case of a H-field background. In the case of constant H-field on a three-torus, we derive the constraints to realize this compactification by considering the correspondence to string theory. We carry out this work as a first step to examine the possibility to describe transverse M5-branes in Matrix theory.

12.316333

10.502868

12.031283

9.877463

9.599579

9.762898

10.597227

10.233211

9.952458

12.422192

9.837733

9.942936

10.96804

9.797948

10.038898

10.20844

10.233935

10.126237

10.019185

11.033564

10.431353

1701.08541

Omar Foda

Omar Foda and Jian-Feng Wu

A Macdonald refined topological vertex

48 pages, added introductory material and references, corrected typos, version to appear in Journal of Physics A Special Issue dedicated to Professor Petr Kulish

Journal of Physics A: Mathematical and Theoretical (2017) Volume 50, Number 29, 294003

10.1088/1751-8121/aa7605

null

hep-th math-ph math.MP

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

We consider the refined topological vertex of Iqbal et al, as a function of two parameters (x, y), and deform it by introducing Macdonald parameters (q, t), as in the work of Vuletic on plane partitions, to obtain 'a Macdonald refined topological vertex'. In the limit q -> t, we recover the refined topological vertex of Iqbal et al. In the limit x -> y, we obtain a qt-deformation of the topological vertex of Aganagic et al. Copies of the vertex can be glued to obtain qt-deformed 5D instanton partition functions that have well-defined 4D limits and, for generic values of (q, t), contain infinite-towers of poles for every pole in the limit q -> t.

[ { "created": "Mon, 30 Jan 2017 10:54:16 GMT", "version": "v1" }, { "created": "Thu, 1 Jun 2017 09:03:42 GMT", "version": "v2" } ]

2017-06-29

[ [ "Foda", "Omar", "" ], [ "Wu", "Jian-Feng", "" ] ]

We consider the refined topological vertex of Iqbal et al, as a function of two parameters (x, y), and deform it by introducing Macdonald parameters (q, t), as in the work of Vuletic on plane partitions, to obtain 'a Macdonald refined topological vertex'. In the limit q -> t, we recover the refined topological vertex of Iqbal et al. In the limit x -> y, we obtain a qt-deformation of the topological vertex of Aganagic et al. Copies of the vertex can be glued to obtain qt-deformed 5D instanton partition functions that have well-defined 4D limits and, for generic values of (q, t), contain infinite-towers of poles for every pole in the limit q -> t.

6.554199

7.187381

8.26105

7.280743

8.01521

7.538266

7.344339

7.127314

7.234127

9.192837

7.220343

6.849524

7.53866

6.519533

6.644491

7.010694

6.7349

6.801026

6.644339

7.137345

6.775699

1606.03085

Giacomo Rosati

Francesco Cianfrani, Jerzy Kowalski-Glikman, Daniele Pranzetti, Giacomo Rosati

Symmetries of quantum space-time in 3 dimensions

In V2 some clarifying comments and references have been added according to the refereed version for Phys.Rev.D; in V3 we corrected the format of one figure

Phys. Rev. D 94, 084044 (2016)

10.1103/PhysRevD.94.084044

null

hep-th gr-qc

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

By applying loop quantum gravity techniques to 3D gravity with a positive cosmological constant $\Lambda$, we show how the local gauge symmetry of the theory, encoded in the constraint algebra, acquires the quantum group structure of $so_q(4)$, with $ q = \exp{(i\hbar \sqrt{\Lambda}/2\kappa)}$. By means of an Inonu-Wigner contraction of the quantum group bi-algebra, keeping $\kappa$ finite, we obtain the kappa-Poincar\'e algebra of the flat quantum space-time symmetries.

[ { "created": "Thu, 9 Jun 2016 19:56:08 GMT", "version": "v1" }, { "created": "Thu, 24 Nov 2016 13:30:04 GMT", "version": "v2" }, { "created": "Thu, 8 Dec 2016 10:46:12 GMT", "version": "v3" } ]

2016-12-09

[ [ "Cianfrani", "Francesco", "" ], [ "Kowalski-Glikman", "Jerzy", "" ], [ "Pranzetti", "Daniele", "" ], [ "Rosati", "Giacomo", "" ] ]

By applying loop quantum gravity techniques to 3D gravity with a positive cosmological constant $\Lambda$, we show how the local gauge symmetry of the theory, encoded in the constraint algebra, acquires the quantum group structure of $so_q(4)$, with $ q = \exp{(i\hbar \sqrt{\Lambda}/2\kappa)}$. By means of an Inonu-Wigner contraction of the quantum group bi-algebra, keeping $\kappa$ finite, we obtain the kappa-Poincar\'e algebra of the flat quantum space-time symmetries.

7.848351

8.338481

7.856795

7.211748

7.635596

8.218813

7.974786

6.750565

7.519171

9.191705

7.471062

7.364075

7.434729

7.460341

7.427065

7.47814

7.200949

7.529514

7.342495

7.287069

7.066316

hep-th/9307177

Jim Horne

James H. Horne and Gary T. Horowitz

Cosmic Censorship and the Dilaton

16 pages, NSF-ITP-93-95

Phys.Rev.D48:5457-5462,1993

10.1103/PhysRevD.48.R5457

null

hep-th gr-qc

null

We investigate extremal electrically charged black holes in Einstein-Maxwell-dilaton theory with a cosmological constant inspired by string theory. These solutions are not static, and a timelike singularity eventually appears which is not surrounded by an event horizon. This suggests that cosmic censorship may be violated in this theory.

[ { "created": "Wed, 28 Jul 1993 23:47:45 GMT", "version": "v1" } ]

2010-01-06

[ [ "Horne", "James H.", "" ], [ "Horowitz", "Gary T.", "" ] ]

We investigate extremal electrically charged black holes in Einstein-Maxwell-dilaton theory with a cosmological constant inspired by string theory. These solutions are not static, and a timelike singularity eventually appears which is not surrounded by an event horizon. This suggests that cosmic censorship may be violated in this theory.

7.658915

6.739301

6.806654

6.410994

6.720738

7.206864

6.826185

6.673501

6.807998

7.313891

6.655105

6.526827

6.713568

6.480414

6.560434

6.57377

6.802909

6.437446

6.642371

6.425349

6.469761

0908.2246

Radoslav Rashkov

M. Schimpf and R.C. Rashkov

A note on strings in deformed AdS_4 x CP3: giant magnon and single spike solutions

11 pages, no figures, writings improved, references added

Mod.Phys.Lett.A24:3227-3237,2009

10.1142/S0217732309032113

TUW-09-09

hep-th

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

In this paper we study the solitonic string solutions of magnon and single spike type in the beta-deformed AdS_4 x CP3 background. We find the dispersion relations which are supposed to give the anomalous dimension of the gauge theory operators.

[ { "created": "Sun, 16 Aug 2009 14:41:19 GMT", "version": "v1" }, { "created": "Sat, 22 Aug 2009 17:18:44 GMT", "version": "v2" }, { "created": "Sun, 27 Sep 2009 18:59:54 GMT", "version": "v3" } ]

2010-01-06

[ [ "Schimpf", "M.", "" ], [ "Rashkov", "R. C.", "" ] ]

In this paper we study the solitonic string solutions of magnon and single spike type in the beta-deformed AdS_4 x CP3 background. We find the dispersion relations which are supposed to give the anomalous dimension of the gauge theory operators.

12.951114

7.433134

21.926764

7.115282

7.824681

6.641824

7.66842

6.211302

7.236769

18.45048

7.99946

8.740952

12.821494

9.179182

8.784447

8.771412

8.311599

8.692052

8.711388

12.609822

8.113129

hep-th/0703288

Gesualdo Delfino

Particle decay in Ising field theory with magnetic field

13 pages, 9 figures. To appear in the proceedings of the XVth International Congress on Mathematical Physics, Rio de Janeiro, 6-11 August 2006

null

hep-th

null

The scaling limit of the two-dimensional Ising model in the plane of temperature and magnetic field defines a field theory which provides the simplest illustration of non-trivial phenomena such as spontaneous symmetry breaking and confinement. Here we discuss how Ising field theory also gives the simplest model for particle decay. The decay widths computed in this theory provide the obvious test ground for the numerical methods designed to study unstable particles in quantum field theories discretized on a lattice.

[ { "created": "Fri, 30 Mar 2007 15:33:24 GMT", "version": "v1" } ]

2007-05-23

[ [ "Delfino", "Gesualdo", "" ] ]

The scaling limit of the two-dimensional Ising model in the plane of temperature and magnetic field defines a field theory which provides the simplest illustration of non-trivial phenomena such as spontaneous symmetry breaking and confinement. Here we discuss how Ising field theory also gives the simplest model for particle decay. The decay widths computed in this theory provide the obvious test ground for the numerical methods designed to study unstable particles in quantum field theories discretized on a lattice.

11.307034

11.561656

11.923834

10.815817

11.463329

11.689067

11.861353

10.76139

10.706679

12.230289

11.259628

10.239876

11.34293

10.697774

10.776674

10.028128

10.449584

10.518113

10.519127

10.707508

10.303856

1308.3435

Saul Ramos-Sanchez

Hans Peter Nilles, Saul Ramos-Sanchez, Michael Ratz, Patrick K.S. Vaudrevange

A note on discrete R symmetries in Z6-II orbifolds with Wilson lines

13 pages, 3 figures

null

10.1016/j.physletb.2013.09.041

DESY-13-143, TUM-HEP 901/13, FLAVOUR-EU 52/13

hep-th hep-ph

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

We re-derive the R symmetries for the Z6-II orbifold with non-trivial Wilson lines and find expressions for the R charges which differ from those in the literature.

[ { "created": "Thu, 15 Aug 2013 15:33:04 GMT", "version": "v1" } ]

2015-06-16

[ [ "Nilles", "Hans Peter", "" ], [ "Ramos-Sanchez", "Saul", "" ], [ "Ratz", "Michael", "" ], [ "Vaudrevange", "Patrick K. S.", "" ] ]

We re-derive the R symmetries for the Z6-II orbifold with non-trivial Wilson lines and find expressions for the R charges which differ from those in the literature.

19.551529

11.223042

13.604984

10.251021

12.081339

11.166685

10.39803

10.151594

10.130255

10.999516

11.897017

12.146496

12.669017

11.437447

11.64693

12.824269

11.846749

12.127389

11.470288

12.306031

12.53017

1411.3712

J\'er\^ome Gleyzes

J\'er\^ome Gleyzes, David Langlois and Filippo Vernizzi

A unifying description of dark energy

32 pages. Corrected typos. Published as review article for IJMPD Special Issue on Modified Gravity and Effects of Lorentz Violation

null

10.1142/S021827181443010X

null

hep-th astro-ph.CO gr-qc

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

We review and extend a novel approach that we introduced recently, to describe general dark energy or scalar-tensor models. Our approach relies on an ADM formulation based on the hypersurfaces where the underlying scalar field is uniform. The advantage of this approach is that it can describe in the same language and in a minimal way a vast number of existing models, such as quintessence models, $F(R)$ theories, scalar tensor theories, their Horndeski extensions and beyond. It also naturally includes Horava-Lifshitz theories. As summarized in this review, our approach provides a unified treatment of the linear cosmological perturbations about a FLRW universe, obtained by a systematic expansion of our general action up to quadratic order. This shows that the behaviour of these linear perturbations is generically characterized by five time-dependent functions. We derive the full equations of motion in the Newtonian gauge, and obtain in particular the equation of state for dark energy perturbations, in the Horndeski case, in terms of these functions. Our unifying description thus provides the simplest and most systematic way to confront theoretical models with current and future cosmological observations.

[ { "created": "Thu, 13 Nov 2014 20:56:05 GMT", "version": "v1" }, { "created": "Thu, 22 Jan 2015 20:52:39 GMT", "version": "v2" } ]

2015-06-23

[ [ "Gleyzes", "Jérôme", "" ], [ "Langlois", "David", "" ], [ "Vernizzi", "Filippo", "" ] ]

We review and extend a novel approach that we introduced recently, to describe general dark energy or scalar-tensor models. Our approach relies on an ADM formulation based on the hypersurfaces where the underlying scalar field is uniform. The advantage of this approach is that it can describe in the same language and in a minimal way a vast number of existing models, such as quintessence models, $F(R)$ theories, scalar tensor theories, their Horndeski extensions and beyond. It also naturally includes Horava-Lifshitz theories. As summarized in this review, our approach provides a unified treatment of the linear cosmological perturbations about a FLRW universe, obtained by a systematic expansion of our general action up to quadratic order. This shows that the behaviour of these linear perturbations is generically characterized by five time-dependent functions. We derive the full equations of motion in the Newtonian gauge, and obtain in particular the equation of state for dark energy perturbations, in the Horndeski case, in terms of these functions. Our unifying description thus provides the simplest and most systematic way to confront theoretical models with current and future cosmological observations.

8.550619

8.328353

8.909774

8.143882

8.818353

9.110281

8.679127

8.486382

8.733374

8.905214

8.465199

8.026784

7.869209

7.904178

7.798906

7.979992

7.997577

7.851458

7.730024

7.777496

7.842711

2402.01260

Guus Korver

Guus Korver, Frank Saueressig, Jian Wang

Global Flows of Foliated Gravity-Matter Systems

13 pages, 3 figures

null

hep-th gr-qc

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

Asymptotic safety is a promising mechanism for obtaining a consistent and predictive quantum theory for gravity. The ADM formalism allows to introduce a (Euclidean) time-direction in this framework. It equips spacetime with a foliation structure by encoding the gravitational degrees of freedom in a lapse function, shift vector, and a metric measuring distances on the spatial slices. We use the Wetterich equation to study the renormalization group flow of the graviton 2-point function extracted from the spatial metric. The flow is driven by the 3- and 4-point vertices generated by the foliated Einstein-Hilbert action supplemented by minimally coupled scalar and vector fields. We derive bounds on the number of matter fields cast by asymptotic safety. Moreover, we show that the phase diagram obtained in the pure gravity case is qualitatively stable within these bounds. An intriguing feature is the presence of an IR-fixed point for the graviton mass which prevents the squared mass taking negative values. This feature persists for any number of matter fields and, in particular, also in situations where there is no suitable interacting fixed point rendering the theory asymptotically safe. Our work complements earlier studies of the subject by taking contributions from the matter fields into account.

[ { "created": "Fri, 2 Feb 2024 09:31:03 GMT", "version": "v1" } ]

2024-02-05

[ [ "Korver", "Guus", "" ], [ "Saueressig", "Frank", "" ], [ "Wang", "Jian", "" ] ]

Asymptotic safety is a promising mechanism for obtaining a consistent and predictive quantum theory for gravity. The ADM formalism allows to introduce a (Euclidean) time-direction in this framework. It equips spacetime with a foliation structure by encoding the gravitational degrees of freedom in a lapse function, shift vector, and a metric measuring distances on the spatial slices. We use the Wetterich equation to study the renormalization group flow of the graviton 2-point function extracted from the spatial metric. The flow is driven by the 3- and 4-point vertices generated by the foliated Einstein-Hilbert action supplemented by minimally coupled scalar and vector fields. We derive bounds on the number of matter fields cast by asymptotic safety. Moreover, we show that the phase diagram obtained in the pure gravity case is qualitatively stable within these bounds. An intriguing feature is the presence of an IR-fixed point for the graviton mass which prevents the squared mass taking negative values. This feature persists for any number of matter fields and, in particular, also in situations where there is no suitable interacting fixed point rendering the theory asymptotically safe. Our work complements earlier studies of the subject by taking contributions from the matter fields into account.

8.531775

8.176561

9.446268

8.087699

8.397013

9.062402

8.712234

8.469173

8.369021

9.458291

8.227615

8.642417

8.616054

8.464706

8.426059

8.556211

8.289599

8.238683

8.284907

8.584112

8.22732

hep-th/0510123

Cliff Burgess

C.P. Burgess

Supersymmetric Large Extra Dimensions and the Cosmological Constant Problem

Talk presented to Theory Canada I, Vancouver, June 2005. References added in V2

null

10.1139/P06-031

null

hep-th

null

This article briefly summarizes and reviews the motivations for - and the present status of - the proposal that the small size of the observed Dark Energy density can be understood in terms of the dynamical relaxation of two large extra dimensions within a supersymmetric higher-dimensional theory.

[ { "created": "Sun, 16 Oct 2005 16:32:42 GMT", "version": "v1" }, { "created": "Wed, 7 Dec 2005 18:55:21 GMT", "version": "v2" } ]

2009-11-11

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

This article briefly summarizes and reviews the motivations for - and the present status of - the proposal that the small size of the observed Dark Energy density can be understood in terms of the dynamical relaxation of two large extra dimensions within a supersymmetric higher-dimensional theory.

16.338036

10.958632

11.425417

12.14455

12.570021

12.790061

12.176089

12.186762

11.212024

14.615181

13.264311

13.387204

12.667605

12.371723

13.001119

13.19156

12.528467

12.726758

12.698894

12.941156

12.687385

0806.4109

Wei Xue

Wei Xue, Bin Chen

$\alpha$-vacuum and inflationary bispectrum

39 pages, 8 figures, references added, minor changes, accepted by Phys.Rev.D

Phys.Rev.D79:043518,2009

10.1103/PhysRevD.79.043518

null

hep-th astro-ph gr-qc

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

In this paper, we discuss the non-Guassianity originated from the $\alpha$-vacuum on the CMB anisotropy. For $\alpha$-vacuum, there exist correlation between points in the acausal two patches of de Sitter spactime. Such kind of correlation can lead to large local form non-Guassianity in $\alpha$-vacuum. For the single field slow-roll inflationary scenario, the spacetime is in a quasi-de Sitter phase during the inflation. We will show that the $\alpha$-vacuum in this case will lead to non-Gaussianity with distinguished feature, of a large local form and a very different shape.

[ { "created": "Wed, 25 Jun 2008 14:35:13 GMT", "version": "v1" }, { "created": "Fri, 4 Jul 2008 14:55:41 GMT", "version": "v2" }, { "created": "Sun, 3 Aug 2008 02:10:51 GMT", "version": "v3" }, { "created": "Fri, 20 Feb 2009 16:54:59 GMT", "version": "v4" } ]

2009-09-02

[ [ "Xue", "Wei", "" ], [ "Chen", "Bin", "" ] ]

In this paper, we discuss the non-Guassianity originated from the $\alpha$-vacuum on the CMB anisotropy. For $\alpha$-vacuum, there exist correlation between points in the acausal two patches of de Sitter spactime. Such kind of correlation can lead to large local form non-Guassianity in $\alpha$-vacuum. For the single field slow-roll inflationary scenario, the spacetime is in a quasi-de Sitter phase during the inflation. We will show that the $\alpha$-vacuum in this case will lead to non-Gaussianity with distinguished feature, of a large local form and a very different shape.

10.422088

9.551867

9.429055

8.729891

9.781737

9.998668

9.730998

8.866839

9.045118

10.825577

9.106923

9.314636

9.009748

8.967299

9.126477

9.086818

9.290253

9.19823

9.294313

9.167315

9.320904

1307.8149

Ahmed Almheiri

Ahmed Almheiri, James Sully

An Uneventful Horizon in Two Dimensions

28 pages, 4 figures

null

10.1007/JHEP02(2014)108

null

hep-th gr-qc

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

We investigate the possibility of firewalls in the Einstein-dilaton gravity model of CGHS. We use the results of the numerical simulation carried out by Ashtekar et al. to demonstrate that firewalls are absent and the horizon is drama free. We show that the lack of a firewall is consistent because the model does not satisfy one of the postulates of black hole complementarity. In particular, we show that the Hawking radiation is not pure, and is completely entangled with a long-lived remnant beyond the last ray.

[ { "created": "Tue, 30 Jul 2013 21:06:16 GMT", "version": "v1" } ]

2015-06-16

[ [ "Almheiri", "Ahmed", "" ], [ "Sully", "James", "" ] ]

We investigate the possibility of firewalls in the Einstein-dilaton gravity model of CGHS. We use the results of the numerical simulation carried out by Ashtekar et al. to demonstrate that firewalls are absent and the horizon is drama free. We show that the lack of a firewall is consistent because the model does not satisfy one of the postulates of black hole complementarity. In particular, we show that the Hawking radiation is not pure, and is completely entangled with a long-lived remnant beyond the last ray.

11.31533

9.895383

10.825055

10.274435

10.676337

10.220641

10.521696

10.644097

10.304843

10.09859

10.035273

9.889903

9.87732

9.90495

10.062457

9.887322

10.100302

9.552976

10.154927

10.542095

9.98806

2209.06728

Chi-Ming Chang

Chi-Ming Chang, Ying-Hsuan Lin

Words to describe a black hole

13 pages, 2 figures, 5 tables; v2, v3: minor revisions, references added; v4: references added, subtleties with non-renormalization theorem discussed

JHEP 02 (2023) 109

10.1007/JHEP02(2023)109

null

hep-th

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

We revamp the constructive enumeration of 1/16-BPS states in the maximally supersymmetric Yang-Mills in four dimensions, and search for ones that are not of multi-graviton form. A handful of such states are found for gauge group SU(2) at relatively high energies, resolving a decade-old enigma. Along the way, we clarify various subtleties in the literature, and prove a non-renormalization theorem about the exactness of the cohomological enumeration in perturbation theory. We point out a giant-graviton-like feature in our results, and envision that a deep analysis of our data will elucidate the fundamental properties of black hole microstates.

[ { "created": "Wed, 14 Sep 2022 15:33:53 GMT", "version": "v1" }, { "created": "Wed, 21 Sep 2022 16:45:01 GMT", "version": "v2" }, { "created": "Sat, 1 Oct 2022 15:06:02 GMT", "version": "v3" }, { "created": "Thu, 16 Feb 2023 12:53:59 GMT", "version": "v4" } ]

2023-03-01

[ [ "Chang", "Chi-Ming", "" ], [ "Lin", "Ying-Hsuan", "" ] ]

We revamp the constructive enumeration of 1/16-BPS states in the maximally supersymmetric Yang-Mills in four dimensions, and search for ones that are not of multi-graviton form. A handful of such states are found for gauge group SU(2) at relatively high energies, resolving a decade-old enigma. Along the way, we clarify various subtleties in the literature, and prove a non-renormalization theorem about the exactness of the cohomological enumeration in perturbation theory. We point out a giant-graviton-like feature in our results, and envision that a deep analysis of our data will elucidate the fundamental properties of black hole microstates.

12.909985

10.766206

14.298609

11.01747

11.477877

10.918102

11.811301

10.486961

10.774796

13.901254

11.766904

11.12828

13.199988

12.041179

11.555929

11.948877

12.247388

11.918621

11.942426

13.188287

11.893754

2203.08443

Motomu Tsuda

On commutator-based linearization of vector-spinor nonlinear supersymmetry and Rarita-Schwinger fields

16 pages, typos corrected, references added, expanded version with added discussions on the spinorial gauge invariance of the Rarita-Schwinger action etc

null

10.1142/S0217732322501978

null

hep-th

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

We discuss the linearization of vector-spinor (spin-3/2) nonlinear supersymmetry (vsNLSUSY) transformations for both $N = 1$ and $N$-extended SUSY in flat spacetime based on the commutator algebra by using functionals (composites) of spin-3/2 Nambu-Goldstone (NG) fermions, which are expressed as simple products of powers of the spin-3/2 NG fermions and a fundamental determinant in the vsNLSUSY theory. We define basic component fields by means of those functionals in a linearized vsSUSY theory including spin-3/2 fields, general auxiliary ones and a $D$-term. The general forms of linear (rigid) vsSUSY transformations for the component fields are determined uniquely from the commutator-based linearization procedure. By considering appropriate recombinations of the functionals of the spin-3/2 NG fermions for $N = 1$ SUSY, we find that variations of the recombinations under the vsNLSUSY transformations include linear spin-1/2 SUSY ones of spin-(3/2, 1) fields with $U(1)$ gauge invariance. The spinorial gauge invariance of the Rarita-Schwinger action in the linearization process is also discussed together with the $U(1)$ gauge invariance.

[ { "created": "Wed, 16 Mar 2022 07:40:07 GMT", "version": "v1" }, { "created": "Sat, 19 Mar 2022 03:31:46 GMT", "version": "v2" }, { "created": "Tue, 8 Nov 2022 01:02:15 GMT", "version": "v3" } ]

2023-01-11

[ [ "Tsuda", "Motomu", "" ] ]

We discuss the linearization of vector-spinor (spin-3/2) nonlinear supersymmetry (vsNLSUSY) transformations for both $N = 1$ and $N$-extended SUSY in flat spacetime based on the commutator algebra by using functionals (composites) of spin-3/2 Nambu-Goldstone (NG) fermions, which are expressed as simple products of powers of the spin-3/2 NG fermions and a fundamental determinant in the vsNLSUSY theory. We define basic component fields by means of those functionals in a linearized vsSUSY theory including spin-3/2 fields, general auxiliary ones and a $D$-term. The general forms of linear (rigid) vsSUSY transformations for the component fields are determined uniquely from the commutator-based linearization procedure. By considering appropriate recombinations of the functionals of the spin-3/2 NG fermions for $N = 1$ SUSY, we find that variations of the recombinations under the vsNLSUSY transformations include linear spin-1/2 SUSY ones of spin-(3/2, 1) fields with $U(1)$ gauge invariance. The spinorial gauge invariance of the Rarita-Schwinger action in the linearization process is also discussed together with the $U(1)$ gauge invariance.

8.314136

7.76861

8.325004

7.458479

7.923795

8.06015

7.403188

7.475933

7.702931

8.834473

7.562407

7.730105

7.748505

7.465856

7.524986

7.590087

7.637111

7.516342

7.761194

7.694806

7.507393

hep-th/0206230

Victor Tsukanov

V.D. Tsukanov

Spin-isospin rotation dynamics

19 pages, LaTeX, typos corrected, a few clarifications added in Section 2

null

hep-th nucl-th

null

The equations for the solitons arbitrarily rotating in the ordinary and isotopic space are obtained. The wave functions of the corresponding dynamic states in the quantum case are found. The generalized matrix of the moments of inertia is degenerate for the O(2)-invariant configurations characteristic for the nucleon and delta-isobar. The equation for such configurations is established. It is shown that the spin-isospin rotation prevents the collapse of the soliton states in the SU(2) sigma-model. The entire consideration is based on the variational approach to the method of collective variables.

[ { "created": "Wed, 26 Jun 2002 11:29:07 GMT", "version": "v1" }, { "created": "Sun, 30 Jun 2002 00:08:13 GMT", "version": "v2" }, { "created": "Mon, 16 Dec 2002 23:41:57 GMT", "version": "v3" } ]

2007-05-23

[ [ "Tsukanov", "V. D.", "" ] ]

The equations for the solitons arbitrarily rotating in the ordinary and isotopic space are obtained. The wave functions of the corresponding dynamic states in the quantum case are found. The generalized matrix of the moments of inertia is degenerate for the O(2)-invariant configurations characteristic for the nucleon and delta-isobar. The equation for such configurations is established. It is shown that the spin-isospin rotation prevents the collapse of the soliton states in the SU(2) sigma-model. The entire consideration is based on the variational approach to the method of collective variables.

17.487055

18.471457

15.182824

14.480662

17.368988

18.002722

16.61113

16.880938

15.498849

18.658934

15.488059

15.209747

14.792731

14.229223

15.095601

15.117781

15.200245

16.244331

15.268712

14.648624

15.02411

hep-th/9403197

Adel Bilal

Non-Local Matrix Generalizations of W-Algebras

43 pages, a reference and a remark on the conformal properties for $U_1\ne 0$ added

Commun.Math.Phys. 170 (1995) 117-150

10.1007/BF02099442

PUPT-1452

hep-th funct-an math.FA

null

There is a standard way to define two symplectic (hamiltonian) structures, the first and second Gelfand-Dikii brackets, on the space of ordinary linear differential operators of order $m$, $L = -d^m + U_1 d^{m-1} + U_2 d^{m-2} + \ldots + U_m$. In this paper, I consider in detail the case where the $U_k$ are $n\times n$-matrix-valued functions, with particular emphasis on the (more interesting) second Gelfand-Dikii bracket. Of particular interest is the reduction to the symplectic submanifold $U_1=0$. This reduction gives rise to matrix generalizations of (the classical version of) the {\it non-linear} $W_m$-algebras, called $V_{m,n}$-algebras. The non-commutativity of the matrices leads to {\it non-local} terms in these $V_{m,n}$-algebras. I show that these algebras contain a conformal Virasoro subalgebra and that combinations $W_k$ of the $U_k$ can be formed that are $n\times n$-matrices of conformally primary fields of spin $k$, in analogy with the scalar case $n=1$. In general however, the $V_{m,n}$-algebras have a much richer structure than the $W_m$-algebras as can be seen on the examples of the {\it non-linear} and {\it non-local} Poisson brackets of any two matrix elements of $U_2$ or $W_3$ which I work out explicitly for all $m$ and $n$. A matrix Miura transformation is derived, mapping these complicated second Gelfand-Dikii brackets of the $U_k$ to a set of much simpler Poisson brackets, providing the analogue of the free-field realization of the $W_m$-algebras.

[ { "created": "Thu, 31 Mar 1994 18:22:06 GMT", "version": "v1" }, { "created": "Tue, 19 Apr 1994 18:03:11 GMT", "version": "v2" } ]

2009-10-28

[ [ "Bilal", "Adel", "" ] ]

There is a standard way to define two symplectic (hamiltonian) structures, the first and second Gelfand-Dikii brackets, on the space of ordinary linear differential operators of order $m$, $L = -d^m + U_1 d^{m-1} + U_2 d^{m-2} + \ldots + U_m$. In this paper, I consider in detail the case where the $U_k$ are $n\times n$-matrix-valued functions, with particular emphasis on the (more interesting) second Gelfand-Dikii bracket. Of particular interest is the reduction to the symplectic submanifold $U_1=0$. This reduction gives rise to matrix generalizations of (the classical version of) the {\it non-linear} $W_m$-algebras, called $V_{m,n}$-algebras. The non-commutativity of the matrices leads to {\it non-local} terms in these $V_{m,n}$-algebras. I show that these algebras contain a conformal Virasoro subalgebra and that combinations $W_k$ of the $U_k$ can be formed that are $n\times n$-matrices of conformally primary fields of spin $k$, in analogy with the scalar case $n=1$. In general however, the $V_{m,n}$-algebras have a much richer structure than the $W_m$-algebras as can be seen on the examples of the {\it non-linear} and {\it non-local} Poisson brackets of any two matrix elements of $U_2$ or $W_3$ which I work out explicitly for all $m$ and $n$. A matrix Miura transformation is derived, mapping these complicated second Gelfand-Dikii brackets of the $U_k$ to a set of much simpler Poisson brackets, providing the analogue of the free-field realization of the $W_m$-algebras.

4.658994

4.917109

5.033883

4.514344

4.745515

4.880492

4.814257

4.62569

4.588591

5.171427

4.597494

4.542489

4.686213

4.481581

4.549632

4.40073

4.585024

4.621114

4.482605

4.675647

4.497675

1505.02442

Romulo Rougemont

Romulo Rougemont (Sao Paulo U.), Jorge Noronha (Columbia U. & Sao Paulo U.), Carlos A. D. Zarro (Rio de Janeiro Federal U.), Clovis Wotzasek (Rio de Janeiro Federal U.), Marcelo S. Guimaraes (Rio de Janeiro State U.), Diego R. Granado (Rio de Janeiro State U.)

Vanishing DC holographic conductivity from a magnetic monopole condensate

24 pages, 2 figures, accepted for publication in JHEP

JHEP 07 (2015) 070

10.1007/JHEP07(2015)070

null

hep-th hep-ph

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

We show how to obtain a vanishing DC conductivity in 3-dimensional strongly coupled QFT's using a massive 2-form field in the bulk that satisfies a special kind of boundary condition. The real and imaginary parts of the AC conductivity are evaluated in this holographic setup and we show that the DC conductivity identically vanishes even for an arbitrarily small (though nonzero) value of the 2-form mass in the bulk. We identify the bulk action of the massive 2-form with an effective theory describing a phase in which magnetic monopoles have condensed in the bulk. Our results indicate that a condensate of magnetic monopoles in a 4-dimensional bulk leads to a vanishing DC holographic conductivity in 3-dimensional strongly coupled QFT's.

[ { "created": "Sun, 10 May 2015 21:41:28 GMT", "version": "v1" }, { "created": "Mon, 22 Jun 2015 18:30:47 GMT", "version": "v2" } ]

2015-07-20

[ [ "Rougemont", "Romulo", "", "Sao Paulo U." ], [ "Noronha", "Jorge", "", "Columbia U. & Sao\n Paulo U." ], [ "Zarro", "Carlos A. D.", "", "Rio de Janeiro Federal U." ], [ "Wotzasek", "Clovis", "", "Rio de Janeiro Federal U." ], [ "Guimaraes", "Marcelo S.", "", "Rio de Janeiro State U." ], [ "Granado", "Diego R.", "", "Rio de Janeiro State U." ] ]

We show how to obtain a vanishing DC conductivity in 3-dimensional strongly coupled QFT's using a massive 2-form field in the bulk that satisfies a special kind of boundary condition. The real and imaginary parts of the AC conductivity are evaluated in this holographic setup and we show that the DC conductivity identically vanishes even for an arbitrarily small (though nonzero) value of the 2-form mass in the bulk. We identify the bulk action of the massive 2-form with an effective theory describing a phase in which magnetic monopoles have condensed in the bulk. Our results indicate that a condensate of magnetic monopoles in a 4-dimensional bulk leads to a vanishing DC holographic conductivity in 3-dimensional strongly coupled QFT's.

7.752457

6.710358

7.259037

6.516652

6.818557

7.24703

6.946805

6.816593

6.530266

7.560217

6.698885

6.973218

6.9994

7.000967

6.973745

6.987946

7.140857

7.077538

6.862187

7.576755

7.077774

1201.3638

Friedemann Brandt

Aspects of supersymmetric BRST cohomology

13 pages, contribution to "Strings, Gauge Fields, and the Geometry Behind - The Legacy of Maximilian Kreuzer"

null

10.1142/9789814412551_0002

ITP-UH-02/12

hep-th

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

The application and extension of well-known BRST cohomological methods to supersymmetric field theories are discussed. The focus is on the emergence and particular features of supersymmetry algebra cohomology in this context. In particular it is discussed and demonstrated that supersymmetry algebra cohomology emerges within the cohomological analysis of standard supersymmetric field theories whether or not the commutator algebra of the symmetry transformations closes off-shell.

[ { "created": "Tue, 17 Jan 2012 21:32:32 GMT", "version": "v1" } ]

2017-08-23

[ [ "Brandt", "Friedemann", "" ] ]

The application and extension of well-known BRST cohomological methods to supersymmetric field theories are discussed. The focus is on the emergence and particular features of supersymmetry algebra cohomology in this context. In particular it is discussed and demonstrated that supersymmetry algebra cohomology emerges within the cohomological analysis of standard supersymmetric field theories whether or not the commutator algebra of the symmetry transformations closes off-shell.

9.140165

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8.60654

8.312607

8.780828

8.199209

9.059106

9.131404

8.724186

8.842126

8.409693

8.318232

8.535935

8.83076

8.313119

8.580177

8.577547

8.492894

2002.10520

Mois\'es Bravo Gaete

Moises Bravo-Gaete, Mar\'ia Montserrat Ju\'arez-Aubry

Thermodynamics and Cardy-like formula for nonminimally dressed, charged Lifshitz black holes in New Massive Gravity

17 Pages. Accepted for publication in Classical and Quantum Gravity

null

10.1088/1361-6382/ab7694

null

hep-th gr-qc

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

In three dimensions, we consider the Einstein-Maxwell Lagrangian dressed by a nonminimally coupled scalar field in New Massive Gravity. For this theory, we provide two families of electrically charged Lifshitz black holes where their metric functions depend only on an integration constant. We calculate their masses using the quasilocal approach, as well as their entropy and electric charge. These charged configurations are interpreted as extremal in the sense that the mass vanishes identically while the entropy and electric charge are non zero thermodynamic quantities. Using these examples, we corroborate that the semiclassical entropy can be recovered through a charged Cardy-like formula, involving the corresponding magnetically charged solitons obtained by a double Wick rotation. Finally, the first law of thermodynamics, as well as the Smarr formula are also verified

[ { "created": "Mon, 24 Feb 2020 20:21:41 GMT", "version": "v1" }, { "created": "Fri, 13 Mar 2020 13:45:41 GMT", "version": "v2" } ]

2020-03-31

[ [ "Bravo-Gaete", "Moises", "" ], [ "Juárez-Aubry", "María Montserrat", "" ] ]

In three dimensions, we consider the Einstein-Maxwell Lagrangian dressed by a nonminimally coupled scalar field in New Massive Gravity. For this theory, we provide two families of electrically charged Lifshitz black holes where their metric functions depend only on an integration constant. We calculate their masses using the quasilocal approach, as well as their entropy and electric charge. These charged configurations are interpreted as extremal in the sense that the mass vanishes identically while the entropy and electric charge are non zero thermodynamic quantities. Using these examples, we corroborate that the semiclassical entropy can be recovered through a charged Cardy-like formula, involving the corresponding magnetically charged solitons obtained by a double Wick rotation. Finally, the first law of thermodynamics, as well as the Smarr formula are also verified

10.772667

9.435367

10.030177

9.060272

9.274294

9.532089

8.982303

8.914038

9.712965

9.760577

9.244324

9.564939

9.400455

9.266008

9.583439

9.587138

9.545801

9.473205

9.374973

9.633351

9.520776

hep-th/9807192

Alexei Nurmagambetov

V. G. Zima, S. O. Fedoruk

Weinberg propagator of a free massive particle with an arbitrary spin from the BFV-BRST path integral

31 pages, Latex, version published in Class. Quantum Grav

Class.Quant.Grav.16:3653-3671,1999

10.1088/0264-9381/16/11/312

null

hep-th

null

The transition amplitude is obtained for a free massive particle of arbitrary spin by calculating the path integral in the index-spinor formulation within the BFV-BRST approach. None renormalizations of the path integral measure were applied. The calculation has given the Weinberg propagator written in the index-free form with the use of index spinor. The choice of boundary conditions on the index spinor determines holomorphic or antiholomorphic representation for the canonical description of particle/antiparticle spin.

[ { "created": "Mon, 27 Jul 1998 14:38:13 GMT", "version": "v1" }, { "created": "Fri, 31 Jul 1998 12:36:56 GMT", "version": "v2" }, { "created": "Thu, 21 Sep 2000 12:52:16 GMT", "version": "v3" } ]

2008-11-26

[ [ "Zima", "V. G.", "" ], [ "Fedoruk", "S. O.", "" ] ]

The transition amplitude is obtained for a free massive particle of arbitrary spin by calculating the path integral in the index-spinor formulation within the BFV-BRST approach. None renormalizations of the path integral measure were applied. The calculation has given the Weinberg propagator written in the index-free form with the use of index spinor. The choice of boundary conditions on the index spinor determines holomorphic or antiholomorphic representation for the canonical description of particle/antiparticle spin.

20.839117

20.236015

22.48361

20.0142

22.815193

18.060261

20.024273

19.106281

19.445391

22.738884

19.151991

19.349239

20.195042

18.950018

19.48587

20.264423

20.22471

20.112555

19.215496

19.581507

19.110109

1911.05739

Hamid Reza Afshar

Hamid Afshar, Hernan Gonzalez, Daniel Grumiller and Dmitri Vassilevich

Flat space holography and complex SYK

8pp, v2: added ref

Phys. Rev. D 101, 086024 (2020)

10.1103/PhysRevD.101.086024

TUW-19-04

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

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

We provide the first steps towards a flat space holographic correspondence in two bulk spacetime dimensions. The gravity side is described by a conformally transformed version of the matterless Callan-Giddings-Harvey-Strominger model. The field theory side follows from the complex Sachdev-Ye-Kitaev model in the limit of large specific heat and vanishing compressibility. We derive the boundary action analogous to the Schwarzian as the key link between gravity and field theory sides and show that it coincides with a geometric action discovered recently by one of us, see 1908.08089.

[ { "created": "Wed, 13 Nov 2019 19:00:00 GMT", "version": "v1" }, { "created": "Fri, 22 Nov 2019 17:38:15 GMT", "version": "v2" } ]

2020-04-29

[ [ "Afshar", "Hamid", "" ], [ "Gonzalez", "Hernan", "" ], [ "Grumiller", "Daniel", "" ], [ "Vassilevich", "Dmitri", "" ] ]

We provide the first steps towards a flat space holographic correspondence in two bulk spacetime dimensions. The gravity side is described by a conformally transformed version of the matterless Callan-Giddings-Harvey-Strominger model. The field theory side follows from the complex Sachdev-Ye-Kitaev model in the limit of large specific heat and vanishing compressibility. We derive the boundary action analogous to the Schwarzian as the key link between gravity and field theory sides and show that it coincides with a geometric action discovered recently by one of us, see 1908.08089.

11.306795

10.310045

12.13225

10.770302

11.229074

10.392913

10.392239

10.280849

10.535384

12.652164

10.980836

10.883494

11.471519

10.784389

10.863151

10.69693

10.863004

11.252833

10.75268

11.341418

10.876423

hep-th/0611338

Yuji Sugawara

Tohru Eguchi, Yuji Sugawara and Anne Taormina

Liouville Field, Modular Forms and Elliptic Genera

1+19 pages, no figure; v2 A proof of identity (2.40) due to D.Zagier is included in Appendix C, minor changes, references added; v3 minor changes, references added, to be published in JHEP

JHEP 0703:119,2007

10.1088/1126-6708/2007/03/119

null

hep-th

null

When we describe non-compact or singular Calabi-Yau manifolds by CFT, continuous as well as discrete representations appear in the theory. These representations mix in an intricate way under the modular transformations. In this article, we propose a method of combining discrete and continuous representations so that the resulting combinations have a simpler modular behavior and can be used as conformal blocks of the theory. We compute elliptic genera of ALE spaces and obtain results which agree with those suggested from the decompactification of K3 surface. Consistency of our approach is assured by some remarkable identity of theta functions whose proof, by D. Zagier, is included in an appendix.

[ { "created": "Thu, 30 Nov 2006 04:55:39 GMT", "version": "v1" }, { "created": "Thu, 22 Feb 2007 07:37:29 GMT", "version": "v2" }, { "created": "Tue, 20 Mar 2007 12:09:26 GMT", "version": "v3" } ]

2010-10-27

[ [ "Eguchi", "Tohru", "" ], [ "Sugawara", "Yuji", "" ], [ "Taormina", "Anne", "" ] ]

When we describe non-compact or singular Calabi-Yau manifolds by CFT, continuous as well as discrete representations appear in the theory. These representations mix in an intricate way under the modular transformations. In this article, we propose a method of combining discrete and continuous representations so that the resulting combinations have a simpler modular behavior and can be used as conformal blocks of the theory. We compute elliptic genera of ALE spaces and obtain results which agree with those suggested from the decompactification of K3 surface. Consistency of our approach is assured by some remarkable identity of theta functions whose proof, by D. Zagier, is included in an appendix.

11.748134

7.965707

12.548622

9.689234

8.730947

9.186014

8.545119

8.158453

8.617393

13.618055

9.469071

9.238921

10.904519

9.931718

9.685936

9.446584

9.619647

9.852012

9.831585

10.882383

10.083359

hep-th/9905163

Skenderis Kostas

Mans Henningson and Kostas Skenderis

Weyl anomaly for Wilson surfaces

8 pages

JHEP 9906 (1999) 012

10.1088/1126-6708/1999/06/012

SPIN-1999/12, Goteborg ITP 99-05

hep-th

null

We consider a free two-form in six dimensions and calculate the conformal anomaly associated with a Wilson surface observable.

[ { "created": "Sat, 22 May 1999 20:50:01 GMT", "version": "v1" } ]

2009-10-31

[ [ "Henningson", "Mans", "" ], [ "Skenderis", "Kostas", "" ] ]

We consider a free two-form in six dimensions and calculate the conformal anomaly associated with a Wilson surface observable.

42.991638

14.43901

31.239513

15.304681

14.331635

17.239594

14.904593

12.588822

15.528955

37.478622

17.114351

21.479845

31.408737

23.608387

22.053322

20.816092

20.754166

23.228552

24.231733

31.42144

23.064276

1503.08136

Gabi Zafrir

Instanton operators and symmetry enhancement in 5d supersymmetric USp, SO and exceptional gauge theories

34 pages; v2 references added; v3 minor typos corrected, version published in JHEP; v4 minor corrections and edits

null

hep-th

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

We study the fermionic zero modes around 1 instanton operators for 5d supersymmetric gauge theories of type USp, SO and the exceptional groups. The major motivation is to try to understand the global symmetry enhancement pattern in these theories.

[ { "created": "Fri, 27 Mar 2015 16:41:49 GMT", "version": "v1" }, { "created": "Wed, 13 May 2015 13:49:45 GMT", "version": "v2" }, { "created": "Sat, 15 Aug 2015 19:11:47 GMT", "version": "v3" }, { "created": "Sat, 28 Sep 2019 07:57:25 GMT", "version": "v4" } ]

2019-10-01

[ [ "Zafrir", "Gabi", "" ] ]

We study the fermionic zero modes around 1 instanton operators for 5d supersymmetric gauge theories of type USp, SO and the exceptional groups. The major motivation is to try to understand the global symmetry enhancement pattern in these theories.

17.675585

13.127279

24.295506

13.866712

13.086362

14.190705

13.115242

14.308103

14.400657

25.352299

12.321643

13.734488

19.295897

14.272006

13.558572

13.537624

13.733934

14.292471

15.264564

20.320894

13.495458

2201.04218

Emil J. Martinec

A Defect in AdS3/CFT2 Duality

47 pages, 11 figures. v2: references added, typos corrected

null

10.1007/JHEP06(2022)024

null

hep-th

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

$AdS_3$ string theory in the stringy regime $k=(R_{AdS}/\ell_{str})^2 < 1$ provides a laboratory for the study of holography in which both sides of AdS/CFT duality are under fairly good control. Worldsheet string theory is solvable, and for closed strings the dual spacetime CFT is a deformation of a symmetric product orbifold. Here we extend this construction to include open strings by adding a probe D-string, described semi-classically by an $AdS_2$ D-brane in $AdS_3$. The dual defect or boundary conformal field theory (BCFT) is again a deformed symmetric product, which now describes the Fock space of long open and closed strings near the AdS boundary, with a boundary deformation implementing the open/closed transition in addition to the symmetric product ${\mathbb Z}_2$ twist deformation that implements closed string joining/splitting. The construction thus provides an explicit example of an $AdS_3/BCFT_2$ duality.

[ { "created": "Tue, 11 Jan 2022 22:33:15 GMT", "version": "v1" }, { "created": "Wed, 9 Mar 2022 20:46:08 GMT", "version": "v2" } ]

2022-06-22

[ [ "Martinec", "Emil J.", "" ] ]

$AdS_3$ string theory in the stringy regime $k=(R_{AdS}/\ell_{str})^2 < 1$ provides a laboratory for the study of holography in which both sides of AdS/CFT duality are under fairly good control. Worldsheet string theory is solvable, and for closed strings the dual spacetime CFT is a deformation of a symmetric product orbifold. Here we extend this construction to include open strings by adding a probe D-string, described semi-classically by an $AdS_2$ D-brane in $AdS_3$. The dual defect or boundary conformal field theory (BCFT) is again a deformed symmetric product, which now describes the Fock space of long open and closed strings near the AdS boundary, with a boundary deformation implementing the open/closed transition in addition to the symmetric product ${\mathbb Z}_2$ twist deformation that implements closed string joining/splitting. The construction thus provides an explicit example of an $AdS_3/BCFT_2$ duality.

8.780805

7.866025

9.802326

7.669498

8.012799

7.825259

8.087784

7.745589

7.682027

10.192588

7.269928

7.578579

8.19057

7.633232

7.631021

7.692371

7.592614

7.661823

7.466509

8.221498

7.741863

hep-th/0210090

Jarah Evslin

Jarah Evslin and Hisham Sati

SUSY vs E8 Gauge Theory in 11 Dimensions

14 pages, no figures

JHEP 0305 (2003) 048

10.1088/1126-6708/2003/05/048

null

hep-th

null

Diaconescu, Moore and Witten have shown that the topological part of the M-theory partition function is an invariant of an E8 gauge bundle over the 11-dimensional bulk. This presents a puzzle as an 11d gauge theory cannot exhibit linearly realized supersymmetry. One possibility is that the gauge theory is nonsupersymmetric and flows to 11d SUGRA only in the infrared, with SUSY arising as a low energy accidental degeneracy. Although no such gauge theory has been constructed, any such construction must satisfy a number of constraints in order to correctly reproduce the known 10-dimensional physics on each boundary component. We analyze these constraints and in particular use them to attempt an approximate construction of the 11d gravitino as a condensate of the gauge theory fields.

[ { "created": "Thu, 10 Oct 2002 19:18:14 GMT", "version": "v1" } ]

2009-11-07

[ [ "Evslin", "Jarah", "" ], [ "Sati", "Hisham", "" ] ]

Diaconescu, Moore and Witten have shown that the topological part of the M-theory partition function is an invariant of an E8 gauge bundle over the 11-dimensional bulk. This presents a puzzle as an 11d gauge theory cannot exhibit linearly realized supersymmetry. One possibility is that the gauge theory is nonsupersymmetric and flows to 11d SUGRA only in the infrared, with SUSY arising as a low energy accidental degeneracy. Although no such gauge theory has been constructed, any such construction must satisfy a number of constraints in order to correctly reproduce the known 10-dimensional physics on each boundary component. We analyze these constraints and in particular use them to attempt an approximate construction of the 11d gravitino as a condensate of the gauge theory fields.

11.664054

10.024621

13.181779

9.444599

10.4197

10.951154

11.091021

9.596189

9.656137

13.816401

10.592594

9.469772

10.272066

9.491127

9.479956

9.603292

9.48039

9.867651

9.46718

10.107551

9.820607

1704.08873

Zo\"e Slade

Sergio Gonzalez-Martin, Tim R. Morris, Zo\"e H. Slade

Asymptotic solutions in asymptotic safety

Minor corrections. Version to be published in PRD

Phys. Rev. D 95, 106010 (2017)

10.1103/PhysRevD.95.106010

null

hep-th gr-qc

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

We explain how to find the asymptotic form of fixed point solutions in functional truncations, in particular $f(R)$ approximations. We find that quantum fluctuations do not decouple at large $R$, typically leading to elaborate asymptotic solutions containing several free parameters. By a counting argument, these can be used to map out the dimension of the fixed point solution spaces. They are also necessary to validate the numerical solution, and provide the physical part in the limit that the cutoff is removed: the fixed point equation of state. As an example we apply the techniques to a recent $f(R)$ approximation by Demmel et al, finding asymptotic matches to their numerical solution. Depending on the value of the endomorphism parameter, we find many other asymptotic solutions and fixed point solution spaces of differing dimensions, yielding several alternative scenarios for the equation of state. Asymptotic studies of other $f(R)$ approximations are needed to clarify the picture.

[ { "created": "Fri, 28 Apr 2017 10:52:58 GMT", "version": "v1" }, { "created": "Fri, 26 May 2017 13:37:36 GMT", "version": "v2" } ]

2017-06-07

[ [ "Gonzalez-Martin", "Sergio", "" ], [ "Morris", "Tim R.", "" ], [ "Slade", "Zoë H.", "" ] ]

We explain how to find the asymptotic form of fixed point solutions in functional truncations, in particular $f(R)$ approximations. We find that quantum fluctuations do not decouple at large $R$, typically leading to elaborate asymptotic solutions containing several free parameters. By a counting argument, these can be used to map out the dimension of the fixed point solution spaces. They are also necessary to validate the numerical solution, and provide the physical part in the limit that the cutoff is removed: the fixed point equation of state. As an example we apply the techniques to a recent $f(R)$ approximation by Demmel et al, finding asymptotic matches to their numerical solution. Depending on the value of the endomorphism parameter, we find many other asymptotic solutions and fixed point solution spaces of differing dimensions, yielding several alternative scenarios for the equation of state. Asymptotic studies of other $f(R)$ approximations are needed to clarify the picture.

15.265316

14.662475

14.607868

14.222809

14.536604

13.765565

13.736589

14.421753

13.534236

16.340311

13.529196

14.315032

14.890841

14.0606

14.137976

14.029258

13.949738

14.200361

13.979539

14.565926

14.115881

1812.03290

Boris Kosyakov

B. P. Kosyakov

Self-interaction in classical gauge theories and gravitation

92 pages, 1 figure. This paper is written on the occasion of the 80th anniversary of publication of the 1938 Dirac's article "The classical theory of radiating electron", Proc. R. Soc. A167, 148, the outcome of which, known as the Abraham-Lorentz-Dirac equation, is one of the most controversial equations in the history of physics; v.3 accepted for publication in Physics Reports

null

10.1016/j.physrep.2019.03.002

null

hep-th

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

To develop a systematic treatment of the self-interaction problem in classical gauge theories and general relativity, we study tenable manifestations of self-interaction: topological phases, and rearrangements of degrees of freedom appearing in the action. We outline the occurrence of topological phases in pure field systems. We show that the rearranged Maxwell-Lorentz electrodynamics is a mathematically consistent and physically satisfactory theory which describes new entities, dressed charged particles and radiation. We extend this analysis to cover different modifications of the Maxwell-Lorentz electrodynamics and the SU(N) Yang-Mills-Wong theory. We take a brief look at a subtle mechanism of self-interaction in classical strings. Turning to general relativity, we note that the total energy and momentum of a system with nontrivial topological content, such as a black hole, are ambiguous, coordinatization-dependent quantities, which resembles the situation with paradoxical decompositions in the Banach-Tarski theorem.

[ { "created": "Sat, 8 Dec 2018 08:59:15 GMT", "version": "v1" }, { "created": "Thu, 21 Feb 2019 07:05:55 GMT", "version": "v2" }, { "created": "Mon, 15 Apr 2019 07:34:01 GMT", "version": "v3" } ]

2019-04-16

[ [ "Kosyakov", "B. P.", "" ] ]

To develop a systematic treatment of the self-interaction problem in classical gauge theories and general relativity, we study tenable manifestations of self-interaction: topological phases, and rearrangements of degrees of freedom appearing in the action. We outline the occurrence of topological phases in pure field systems. We show that the rearranged Maxwell-Lorentz electrodynamics is a mathematically consistent and physically satisfactory theory which describes new entities, dressed charged particles and radiation. We extend this analysis to cover different modifications of the Maxwell-Lorentz electrodynamics and the SU(N) Yang-Mills-Wong theory. We take a brief look at a subtle mechanism of self-interaction in classical strings. Turning to general relativity, we note that the total energy and momentum of a system with nontrivial topological content, such as a black hole, are ambiguous, coordinatization-dependent quantities, which resembles the situation with paradoxical decompositions in the Banach-Tarski theorem.

13.963622

15.254768

13.920712

13.990456

14.723032

15.4689

15.07058

13.509074

13.723911

16.160244

14.239356

13.378624

13.390406

12.919774

13.335744

13.509355

13.581507

13.038514

12.86908

13.631208

12.831304

1711.02716

Gaston Giribet

$T\bar{T}$-deformations, AdS/CFT and correlation functions

17 pages. v3 references and comments added. Version to appear in JHEP

JHEP 1802 (2018) 114

10.1007/JHEP02(2018)114

null

hep-th

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

A solvable irrelevant deformation of AdS$_3$/CFT$_2$ correspondence leading to a theory with Hagedorn spectrum at high energy has been recently proposed. It consists of a single trace deformation of the boundary theory, which is inspired by the recent work on solvable $T\bar{T}$ deformations of two-dimensional CFTs. Thought of as a worldsheet $\sigma $-model, the interpretation of the deformed theory from the bulk viewpoint is that of string theory on a background that interpolates between AdS$_3$ in the IR and a linear dilaton vacuum of little string theory in the UV. The insertion of the operator that realizes the deformation in the correlation functions produces a logarithmic divergence, leading to the renormalization of the primary operators, which thus acquire an anomalous dimension. We compute this anomalous dimension explicitly, and this provides us with a direct way of determining the spectrum of the theory. We discuss this and other features of the correlation functions in presence of the deformation.

[ { "created": "Tue, 7 Nov 2017 20:37:28 GMT", "version": "v1" }, { "created": "Thu, 9 Nov 2017 21:50:03 GMT", "version": "v2" }, { "created": "Wed, 14 Feb 2018 03:07:40 GMT", "version": "v3" } ]

2018-04-04

[ [ "Giribet", "Gaston", "" ] ]

A solvable irrelevant deformation of AdS$_3$/CFT$_2$ correspondence leading to a theory with Hagedorn spectrum at high energy has been recently proposed. It consists of a single trace deformation of the boundary theory, which is inspired by the recent work on solvable $T\bar{T}$ deformations of two-dimensional CFTs. Thought of as a worldsheet $\sigma $-model, the interpretation of the deformed theory from the bulk viewpoint is that of string theory on a background that interpolates between AdS$_3$ in the IR and a linear dilaton vacuum of little string theory in the UV. The insertion of the operator that realizes the deformation in the correlation functions produces a logarithmic divergence, leading to the renormalization of the primary operators, which thus acquire an anomalous dimension. We compute this anomalous dimension explicitly, and this provides us with a direct way of determining the spectrum of the theory. We discuss this and other features of the correlation functions in presence of the deformation.

7.894247

6.57522

7.957803

6.676031

6.880334

6.511083

6.758714

6.421719

6.422246

8.169871

6.885484

7.171537

7.793001

7.02617

7.078622

7.198273

7.121731

7.013599

7.348524

7.501285

7.136621

1810.01599

Akbar Jahan

A. Jahan and S. Sukhasena

Vacuum Energy of a Non-relativistic String with Nontrivial Boundary Condition

8 pages, 2 figures. Updated version of published article. Some typos corrected

Int. J. Mod. Phys A33 (2018) 1850097

10.1142/S0217751X18500975

null

hep-th

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

We derive the partition function of a non-relativistic quantum string which its ends are allowed to freely slide on the two angled straight solid rods. We first derive the classical solution of the model and then use it to derive the partition function utilizing the path integral method. We show that the vacuum energy is sum of the Luscher potential plus a term which depends on the relative angle between rods.

[ { "created": "Wed, 3 Oct 2018 06:21:23 GMT", "version": "v1" }, { "created": "Tue, 27 Nov 2018 06:25:53 GMT", "version": "v2" } ]

2018-11-28

[ [ "Jahan", "A.", "" ], [ "Sukhasena", "S.", "" ] ]

We derive the partition function of a non-relativistic quantum string which its ends are allowed to freely slide on the two angled straight solid rods. We first derive the classical solution of the model and then use it to derive the partition function utilizing the path integral method. We show that the vacuum energy is sum of the Luscher potential plus a term which depends on the relative angle between rods.

16.846312

16.577105

16.349728

15.043412

14.884565

14.639296

15.989228

15.31232

14.816768

16.885092

14.966133

15.736887

14.97411

15.349486

16.060171

15.308688

16.665266

15.874371

15.907366

15.362186

15.524979

1504.01221

Yusuke Yamada

Hiroyuki Abe, Yutaka Sakamura, Yusuke Yamada

Matter coupled Dirac-Born-Infeld action in 4-dimensional N=1 conformal supergravity

9 pages, v2: section 5.1 added, v3: references added

Phys. Rev. D 92, 025017 (2015)

10.1103/PhysRevD.92.025017

WU-HEP-15-05, KEK-TH-1801

hep-th

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

We construct the Dirac-Born-Infeld action in the context of N=1 conformal supergravity and its possible extensions including matter couplings. We especially focus on the Volkov-Akulov constraint, which is important to avoid ghost modes from the higher derivative terms. In the case with matter couplings, we find the modified D-term potential.

[ { "created": "Mon, 6 Apr 2015 07:20:46 GMT", "version": "v1" }, { "created": "Tue, 14 Apr 2015 04:16:20 GMT", "version": "v2" }, { "created": "Tue, 29 Sep 2015 01:26:45 GMT", "version": "v3" } ]

2015-09-30

[ [ "Abe", "Hiroyuki", "" ], [ "Sakamura", "Yutaka", "" ], [ "Yamada", "Yusuke", "" ] ]

We construct the Dirac-Born-Infeld action in the context of N=1 conformal supergravity and its possible extensions including matter couplings. We especially focus on the Volkov-Akulov constraint, which is important to avoid ghost modes from the higher derivative terms. In the case with matter couplings, we find the modified D-term potential.

10.035404

8.58863

9.739914

9.15396

9.222711

9.232624

9.897747

8.750925

9.2556

11.12438

8.026039

8.863565

9.416021

8.672379

8.879226

8.921189

8.865677

8.904159

8.876165

9.505725

8.370897

2405.08809

Ethan Torres

Giving a $KO$ to 8D Gauge Anomalies

16 pages + references

null

CERN-TH-2024-054

hep-th math.AT

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

In \cite{Garcia-Etxebarria:2017crf}, it was found that the system of $k$ D7-branes probing an $O7^+$-plane suffers from an $\mathfrak{sp}(k)$ gauge anomaly when $k>1$. These authors then conjectured that this 8D $\mathcal{N}=1$ gauge theory couples to an 8D topological field theory (TFT) such that the total system is anomaly-free, thus acting as a "topological" Green-Schwarz mechanism. In this note, we construct such an 8D TFT and show that it indeed cancels the gauge anomaly. The key step is to engineer the relevant topological operators from D3-branes and fluxbranes placed infinitely far away from the stack of 7-branes. Such symmetry operators have topological vector bundles defined on them whose $KO/KSp$-homology classes play a role in the anomaly cancellation.

[ { "created": "Tue, 14 May 2024 17:55:04 GMT", "version": "v1" } ]

2024-05-15

[ [ "Torres", "Ethan", "" ] ]

In \cite{Garcia-Etxebarria:2017crf}, it was found that the system of $k$ D7-branes probing an $O7^+$-plane suffers from an $\mathfrak{sp}(k)$ gauge anomaly when $k>1$. These authors then conjectured that this 8D $\mathcal{N}=1$ gauge theory couples to an 8D topological field theory (TFT) such that the total system is anomaly-free, thus acting as a "topological" Green-Schwarz mechanism. In this note, we construct such an 8D TFT and show that it indeed cancels the gauge anomaly. The key step is to engineer the relevant topological operators from D3-branes and fluxbranes placed infinitely far away from the stack of 7-branes. Such symmetry operators have topological vector bundles defined on them whose $KO/KSp$-homology classes play a role in the anomaly cancellation.

8.022933

8.493821

10.723548

7.850292

8.124407

8.934728

8.681513

7.623319

8.197874

11.125878

7.586547

7.365116

8.507678

7.859332

7.482321

7.463325

7.481186

7.68286

7.546622

8.502134

7.272603

hep-th/9610242

Andrei Marshakov

A. Marshakov

Non-perturbative Quantum Theories and Integrable Equations

35 pages, LaTeX, to appear in Int.J.Mod.Phys. A

Int.J.Mod.Phys. A12 (1997) 1607-1650

10.1142/S0217751X97001109

FIAN/TD-16/96, ITEP/TH-47/96

hep-th

null

I review the appearance of classical integrable systems as an effective tool for the description of non-perturbative exact results in quantum string and gauge theories. Various aspects of this relation: spectral curves, action-angle variables, Whitham deformations and associativity equations are considered separately demonstrating hidden parallels between topological 2d string theories and naively non-topological 4d theories. The proofs are supplemented by explicit illustrative examples.

[ { "created": "Wed, 30 Oct 1996 15:28:06 GMT", "version": "v1" } ]

2015-06-26

[ [ "Marshakov", "A.", "" ] ]

I review the appearance of classical integrable systems as an effective tool for the description of non-perturbative exact results in quantum string and gauge theories. Various aspects of this relation: spectral curves, action-angle variables, Whitham deformations and associativity equations are considered separately demonstrating hidden parallels between topological 2d string theories and naively non-topological 4d theories. The proofs are supplemented by explicit illustrative examples.

16.581062

13.842278

17.139845

12.919701

13.611466

12.186773

12.806823

12.158297

12.346706

16.015808

12.892101

12.978947

15.701844

13.634878

13.546187

13.37063

12.750693

13.412722

13.964791

15.036685

13.770863

1206.3013

Carlos Quimbay

J. A. Sanchez-Monroy, C. J. Quimbay

Exact solutions of (n + 1)-dimensional Yang-Mills equations in curved space-time

14 pages

Annals of Physics 327 (2012) 2166-2176

10.1016/j.aop.2012.04.015

null

hep-th

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

In the context of a semiclassical approach where vectorial gauge fields can be considered as classical fields, we obtain exact static solutions of the SU(N) Yang-Mills equations in a $(n+1)$ dimensional curved space-time, for the cases $n = 1, 2, 3$. As an application of the results obtained for the case $n=3$, we consider the solutions for the anti-de Sitter and Schwarzschild metrics. We show that these solutions have a confining behavior and can be considered as a first step in the study of the corrections of the spectra of quarkonia in a curved background. Since the solutions that we find in this work are valid also for the group U(1), the case $n=2$ is a description of the $(2+1)$ electrodynamics in presence of a point charge. For this case, the solution has a confining behavior and can be considered as an application of the planar electrodynamics in a curved space-time. Finally we find that the solution for the case $n=1$ is invariant under a parity transformation and has the form of a linear confining solution.

[ { "created": "Thu, 14 Jun 2012 06:03:44 GMT", "version": "v1" } ]

2015-06-05

[ [ "Sanchez-Monroy", "J. A.", "" ], [ "Quimbay", "C. J.", "" ] ]

In the context of a semiclassical approach where vectorial gauge fields can be considered as classical fields, we obtain exact static solutions of the SU(N) Yang-Mills equations in a $(n+1)$ dimensional curved space-time, for the cases $n = 1, 2, 3$. As an application of the results obtained for the case $n=3$, we consider the solutions for the anti-de Sitter and Schwarzschild metrics. We show that these solutions have a confining behavior and can be considered as a first step in the study of the corrections of the spectra of quarkonia in a curved background. Since the solutions that we find in this work are valid also for the group U(1), the case $n=2$ is a description of the $(2+1)$ electrodynamics in presence of a point charge. For this case, the solution has a confining behavior and can be considered as an application of the planar electrodynamics in a curved space-time. Finally we find that the solution for the case $n=1$ is invariant under a parity transformation and has the form of a linear confining solution.

6.252354

6.450002

6.074175

5.844994

5.820516

6.089143

6.548936

6.175747

5.862939

6.16024

6.007194

6.04771

5.869544

5.973441

5.970227

5.938993

5.984112

5.971745

5.934763

5.957688

5.930675

1409.1909

Angnis Schmidt-May

S.F. Hassan, Mikica Kocic, Angnis Schmidt-May

Absence of ghost in a new bimetric-matter coupling

Latex, 19 pages

null

hep-th gr-qc

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

Interactions in bimetric theory, which can describe gravity in the presence of an extra spin-2 field, are severely constrained by the requirement of the absence of the Boulware-Deser ghost instability. Recently an interesting new matter coupling was proposed in terms of a composite metric but it was claimed to reintroduce the ghost. In this paper we carry out a nonlinear Hamiltonian analysis of this new matter coupling and show that it is indeed ghost-free. The analysis involves using a new set of variables that naturally appear in the relation between the metric and vielbein formulations of bimetric theory. In terms of these variables we show that the new matter coupling does not reduce the number of constraints in bimetric theory and hence does not reintroduce the Boulware-Deser ghost.

[ { "created": "Fri, 5 Sep 2014 19:47:30 GMT", "version": "v1" } ]

2014-09-08

[ [ "Hassan", "S. F.", "" ], [ "Kocic", "Mikica", "" ], [ "Schmidt-May", "Angnis", "" ] ]

Interactions in bimetric theory, which can describe gravity in the presence of an extra spin-2 field, are severely constrained by the requirement of the absence of the Boulware-Deser ghost instability. Recently an interesting new matter coupling was proposed in terms of a composite metric but it was claimed to reintroduce the ghost. In this paper we carry out a nonlinear Hamiltonian analysis of this new matter coupling and show that it is indeed ghost-free. The analysis involves using a new set of variables that naturally appear in the relation between the metric and vielbein formulations of bimetric theory. In terms of these variables we show that the new matter coupling does not reduce the number of constraints in bimetric theory and hence does not reintroduce the Boulware-Deser ghost.

6.347822

5.049984

5.742308

5.084221

5.619176

5.311606

5.248306

5.126742

5.059448

6.33172

5.448941

5.491055

5.607088

5.5225

5.431878

5.133488

5.576074

5.32698

5.412177

5.993877

5.481661

2007.05365

Carlos Roberto Senise Junior

M. Dias, Daniel L. Nedel and C. R. Senise Jr

Entanglement Entropy from TFD Entropy Operator

35 pages. New sections and figure added. Published version. arXiv admin note: text overlap with arXiv:1910.11427

null

10.1142/S0217751X21500925

null

hep-th quant-ph

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

In this work, a canonical method to compute entanglement entropy is proposed. We show that for two-dimensional conformal theories defined in a torus, a choice of moduli space allows the typical entropy operator of the TFD to provide the entanglement entropy of the degrees of freedom defined in a segment and their complement. In this procedure, it is not necessary to make an analytic continuation from the R\'enyi entropy and the von Neumann entanglement entropy is calculated directly from the expected value of an entanglement entropy operator. We also propose a model for the evolution of the entanglement entropy and show that it grows linearly with time.

[ { "created": "Thu, 9 Jul 2020 13:56:17 GMT", "version": "v1" }, { "created": "Wed, 26 May 2021 15:00:04 GMT", "version": "v2" } ]

2021-05-27

[ [ "Dias", "M.", "" ], [ "Nedel", "Daniel L.", "" ], [ "Senise", "C. R.", "Jr" ] ]

In this work, a canonical method to compute entanglement entropy is proposed. We show that for two-dimensional conformal theories defined in a torus, a choice of moduli space allows the typical entropy operator of the TFD to provide the entanglement entropy of the degrees of freedom defined in a segment and their complement. In this procedure, it is not necessary to make an analytic continuation from the R\'enyi entropy and the von Neumann entanglement entropy is calculated directly from the expected value of an entanglement entropy operator. We also propose a model for the evolution of the entanglement entropy and show that it grows linearly with time.

9.209942

9.70153

8.418787

8.346045

8.884386

8.709291

8.965238

8.475843

8.768866

9.36541

8.841262

8.270131

8.386445

8.223293

8.283362

8.113969

8.148767

8.210773

8.241244

8.494253

8.197755

hep-th/0006117

Don Marolf

Donald Marolf

Chern-Simons terms and the Three Notions of Charge

11 pages, For the Proceedings of the E.S. Fradkin Memorial Conference, based on a talk given June 6 in Moscow

null

hep-th

null

In theories with Chern-Simons terms or modified Bianchi identities, it is useful to define three notions of either electric or magnetic charge associated with a given gauge field. A language for discussing these charges is introduced and the properties of each charge are described. `Brane source charge' is gauge invariant and localized but not conserved or quantized, `Maxwell charge' is gauge invariant and conserved but not localized or quantized, while `Page charge' conserved, localized, and quantized but not gauge invariant. This provides a further perspective on the issue of charge quantization recently raised by Bachas, Douglas, and Schweigert.

[ { "created": "Fri, 16 Jun 2000 11:38:15 GMT", "version": "v1" } ]

2007-05-23

[ [ "Marolf", "Donald", "" ] ]

In theories with Chern-Simons terms or modified Bianchi identities, it is useful to define three notions of either electric or magnetic charge associated with a given gauge field. A language for discussing these charges is introduced and the properties of each charge are described. `Brane source charge' is gauge invariant and localized but not conserved or quantized, `Maxwell charge' is gauge invariant and conserved but not localized or quantized, while `Page charge' conserved, localized, and quantized but not gauge invariant. This provides a further perspective on the issue of charge quantization recently raised by Bachas, Douglas, and Schweigert.

9.071932

8.009974

10.135932

8.132407

9.634578

9.10576

9.326109

9.36517

9.139667

10.502808

8.758126

8.27844

8.961784

8.291368

7.762691

8.266541

8.259477

8.02942

8.176965

8.677707

8.19557

1012.1352

Nadav Drukker

Nadav Drukker and Filippo Passerini

(de)Tails of Toda CFT

28 pages, 4 figures; v2: Added analysis of the Seiberg-Witten curve and some minor changes

JHEP 1104:106,2011

10.1007/JHEP04(2011)106

HU-EP-10/70, Imperial-TP-2010-ND-01, NSF-KITP-10-155

hep-th

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

The relation between the partition function of N=2 gauge theories in 4d and conformal Toda field theory in 2d is explained for the case where the 4d theory is a linear quiver with "quiver tails". That is when the 4d theory has gauge groups of different rank. We propose an identification of a subset of the states of Toda CFT which represent the Coulomb-branch parameters of the different rank gauge multiplets and study their three-point functions and descendants.

[ { "created": "Mon, 6 Dec 2010 22:04:38 GMT", "version": "v1" }, { "created": "Mon, 11 Apr 2011 15:37:20 GMT", "version": "v2" } ]

2011-07-13

[ [ "Drukker", "Nadav", "" ], [ "Passerini", "Filippo", "" ] ]

The relation between the partition function of N=2 gauge theories in 4d and conformal Toda field theory in 2d is explained for the case where the 4d theory is a linear quiver with "quiver tails". That is when the 4d theory has gauge groups of different rank. We propose an identification of a subset of the states of Toda CFT which represent the Coulomb-branch parameters of the different rank gauge multiplets and study their three-point functions and descendants.

9.467424

9.795511

10.668928

8.493915

10.181294

9.428711

9.135387

8.442088

7.992531

12.570161

8.83216

9.087751

10.811179

8.916769

8.828194

9.028222

9.381816

9.027021

9.008779

9.699689

8.538675

1102.1979

Nessi Benishti

Emerging Non-Anomalous Baryonic Symmetries in the AdS_5/CFT_4 Correspondence

65 pages, 15 figures;v2: minor changes, published version

JHEP 1106:075,2011

10.1007/JHEP06(2011)075

null

hep-th

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

We study the breaking of baryonic symmetries in the AdS_5/CFT_4 correspondence for D3 branes at Calabi-Yau three-fold singularities. This leads, for particular VEVs, to the emergence of non-anomalous baryonic symmetries during the renormalization group flow. We claim that these VEVs correspond to critical values of the B-field moduli in the dual supergravity backgrounds. We study in detail the C^3/Z_3 orbifold, the cone over F_0 and the C^3/Z_5 orbifold. For the first two examples, we study the dual supergravity backgrounds that correspond to the breaking of the emerging baryonic symmetries and identify the expected Goldstone bosons and global strings in the infra-red. In doing so we confirm the claim that the emerging symmetries are indeed non-anomalous baryonic symmetries.

[ { "created": "Wed, 9 Feb 2011 21:00:09 GMT", "version": "v1" }, { "created": "Mon, 6 Jun 2011 15:44:17 GMT", "version": "v2" } ]

2015-03-18

[ [ "Benishti", "Nessi", "" ] ]

We study the breaking of baryonic symmetries in the AdS_5/CFT_4 correspondence for D3 branes at Calabi-Yau three-fold singularities. This leads, for particular VEVs, to the emergence of non-anomalous baryonic symmetries during the renormalization group flow. We claim that these VEVs correspond to critical values of the B-field moduli in the dual supergravity backgrounds. We study in detail the C^3/Z_3 orbifold, the cone over F_0 and the C^3/Z_5 orbifold. For the first two examples, we study the dual supergravity backgrounds that correspond to the breaking of the emerging baryonic symmetries and identify the expected Goldstone bosons and global strings in the infra-red. In doing so we confirm the claim that the emerging symmetries are indeed non-anomalous baryonic symmetries.

6.659419

5.315521

7.170404

5.518053

5.310256

5.700367

5.330756

5.381042

5.326369

7.359167

5.659527

5.755552

6.761857

5.901162

5.871901

5.881869

5.810329

5.771456

5.921352

6.996061

5.862958

hep-th/9309071

Michael Lashkevich

M. Yu. Lashkevich

New Conformal Models with $c<2/5$

LANDAU-93-TMP-6, 7 pages, plain TEX, misprints corrected

Mod.Phys.Lett. A9 (1994) 2273-2280

10.1142/S0217732394002136

null

hep-th

null

The zoo of two-dimensional conformal models has been supplemented by a series of nonunitary conformal models obtained by cosetting minimal models. Some of them coincide with minimal models, some do not have even Kac spectrum of conformal dimensions.

[ { "created": "Mon, 13 Sep 1993 09:40:37 GMT", "version": "v1" }, { "created": "Tue, 12 Oct 1993 15:55:38 GMT", "version": "v2" } ]

2009-10-22

[ [ "Lashkevich", "M. Yu.", "" ] ]

The zoo of two-dimensional conformal models has been supplemented by a series of nonunitary conformal models obtained by cosetting minimal models. Some of them coincide with minimal models, some do not have even Kac spectrum of conformal dimensions.

22.531286

17.227852

18.933416

16.938318

17.916758

16.312511

17.948713

17.273767

16.133596

26.858912

15.92372

15.349666

21.403875

16.827997

15.641409

15.33734

15.924067

15.734841

17.223478

19.826626

15.340533

0908.1587

Todd Springer

Hydrodynamics of strongly coupled non-conformal fluids from gauge/gravity duality

PhD thesis, 116 pages, 4 figures

null

hep-th

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

The subject of relativistic hydrodynamics is explored using the tools of gauge/gravity duality. A brief literature review of AdS/CFT and gauge/gravity duality is presented first. This is followed by a pedagogical introduction to the use of these methods in determining hydrodynamic dispersion relations, $w(q)$, of perturbations in a strongly coupled fluid. Shear and sound mode perturbations are examined in a special class of gravity duals: those where the matter supporting the metric is scalar in nature. Analytical solutions (to order $q^4$ and $q^3$ respectively) for the shear and sound mode dispersion relations are presented for a subset of these backgrounds. The work presented here is based on previous publications by the same author, though some previously unpublished results are also included. In particular, the subleading term in the shear mode dispersion relation is analyzed using the AdS/CFT correspondence without any reference to the black hole membrane paradigm.

[ { "created": "Tue, 11 Aug 2009 21:53:12 GMT", "version": "v1" } ]

2009-08-13

[ [ "Springer", "Todd", "" ] ]

The subject of relativistic hydrodynamics is explored using the tools of gauge/gravity duality. A brief literature review of AdS/CFT and gauge/gravity duality is presented first. This is followed by a pedagogical introduction to the use of these methods in determining hydrodynamic dispersion relations, $w(q)$, of perturbations in a strongly coupled fluid. Shear and sound mode perturbations are examined in a special class of gravity duals: those where the matter supporting the metric is scalar in nature. Analytical solutions (to order $q^4$ and $q^3$ respectively) for the shear and sound mode dispersion relations are presented for a subset of these backgrounds. The work presented here is based on previous publications by the same author, though some previously unpublished results are also included. In particular, the subleading term in the shear mode dispersion relation is analyzed using the AdS/CFT correspondence without any reference to the black hole membrane paradigm.

7.548922

7.341061

7.582944

7.336919

7.831276

7.625268

7.916844

7.5188

7.106153

7.455394

7.343827

6.978106

7.457103

7.274191

7.27123

7.095166

7.235444

7.150743

7.094277

7.548357

7.143586

1403.6265

Francesco Becattini

F. Becattini (University of Florence), L. Bucciantini (University of Pisa), E. Grossi (University of Florence), L. Tinti (University of Kielce)

Local thermodynamical equilibrium and the beta frame for a quantum relativistic fluid

22 pages, 3 figures. To appear in Eur. Phys. J. C

null

10.1140/epjc/s10052-015-3384-y

null

hep-th gr-qc nucl-th

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

We discuss the concept of local thermodynamical equilibrium in relativistic hydrodynamics in flat spacetime in a quantum statistical framework without an underlying kinetic description, suitable for strongly interacting fluids. We show that the appropriate definition of local equilibrium naturally leads to the introduction of a relativistic hydrodynamical frame in which the four-velocity vector is the one of a relativistic thermometer at equilibrium with the fluid, parallel to the inverse temperature four-vector \beta, which then becomes a primary quantity. We show that this frame is the most appropriate for the expansion of stress-energy tensor from local thermodynamical equilibrium and that therein the local laws of thermodynamics take on their simplest form. We discuss the difference between the \beta frame and Landau frame and present an instance where they differ.

[ { "created": "Tue, 25 Mar 2014 09:22:19 GMT", "version": "v1" }, { "created": "Wed, 26 Mar 2014 15:41:34 GMT", "version": "v2" }, { "created": "Fri, 24 Oct 2014 15:38:27 GMT", "version": "v3" }, { "created": "Tue, 28 Apr 2015 14:20:11 GMT", "version": "v4" } ]

2015-05-20

[ [ "Becattini", "F.", "", "University of Florence" ], [ "Bucciantini", "L.", "", "University of\n Pisa" ], [ "Grossi", "E.", "", "University of Florence" ], [ "Tinti", "L.", "", "University of Kielce" ] ]

We discuss the concept of local thermodynamical equilibrium in relativistic hydrodynamics in flat spacetime in a quantum statistical framework without an underlying kinetic description, suitable for strongly interacting fluids. We show that the appropriate definition of local equilibrium naturally leads to the introduction of a relativistic hydrodynamical frame in which the four-velocity vector is the one of a relativistic thermometer at equilibrium with the fluid, parallel to the inverse temperature four-vector \beta, which then becomes a primary quantity. We show that this frame is the most appropriate for the expansion of stress-energy tensor from local thermodynamical equilibrium and that therein the local laws of thermodynamics take on their simplest form. We discuss the difference between the \beta frame and Landau frame and present an instance where they differ.

10.9207

11.420523

10.347376

10.068107

10.759647

11.603119

11.486114

11.001669

11.314987

11.772821

11.09493

10.59408

10.598782

10.372932

10.629054

10.667229

10.714487

10.44089

10.459554

10.292563

10.294299

hep-th/9612088

Park daegil

D.K.Park, Soo-Young Lee, Jae-Rok Kahng, Sahng-Kyoon Yoo, C.H.Lee, Chang Soo Park and Eui-Soon Yim

Test of dilute gas approximation in quantum mechanical model

LATEX, 8 pages, i 1 figure included

J.KoreanPhys.Soc.32:606-608,1998

null

GTP-96-03

hep-th

null

The validity of dilute gas approximation is explored by making use of the large-sized instanton in quantum mechanical model. It is shown that the Euclidean probability amplitude derived through a dilute gas approximation not only cannot explain the result of the linear combination of atomic orbitals approximation, but also does not exhibit a proper limiting case when the size of instanton is very large.

[ { "created": "Mon, 9 Dec 1996 03:17:59 GMT", "version": "v1" } ]

2008-11-26

[ [ "Park", "D. K.", "" ], [ "Lee", "Soo-Young", "" ], [ "Kahng", "Jae-Rok", "" ], [ "Yoo", "Sahng-Kyoon", "" ], [ "Lee", "C. H.", "" ], [ "Park", "Chang Soo", "" ], [ "Yim", "Eui-Soon", "" ] ]

The validity of dilute gas approximation is explored by making use of the large-sized instanton in quantum mechanical model. It is shown that the Euclidean probability amplitude derived through a dilute gas approximation not only cannot explain the result of the linear combination of atomic orbitals approximation, but also does not exhibit a proper limiting case when the size of instanton is very large.

18.695614

18.009459

19.021614

18.055302

18.438179

18.230864

18.671865

16.758791

16.527411

19.240078

16.815565

16.935423

16.957003

16.128222

16.037012

17.495779

16.133074

17.160786

16.481335

17.457796

16.344372

hep-th/0006103

Boris Pioline

E. D'Hoker (UCLA) and B. Pioline (Harvard and LPTHE)

Near-Extremal Correlators and Generalized Consistent Truncation for AdS_{4|7}\times S^{7|4}

22 pages, 2 figures

JHEP 0007 (2000) 021

10.1088/1126-6708/2000/07/021

UCLA/2000/TEP/19, HUTP-00/A24, LPTHE-00-25

hep-th

null

We present conjectures for the space-time form and leading large N dependence of extremal and near-extremal correlation functions in the \N=8 superconformal Yang-Mills theory in d=3 as well as in the (0,2) superconformal theory in d=6, using their gravity duals with M-theory on $AdS_4\times \S^7$ and $AdS_7 \times \S^4$ respectively. As a key part of the conjectures, we argue that the bulk couplings associated with extremal and near-extremal field configurations in the corresponding $AdS_4$ and $AdS_7$ gauged supergravities vanish. The vanishing of these couplings constitutes a generalization of the property of consistent truncation of the Kaluza-Klein modes.

[ { "created": "Wed, 14 Jun 2000 22:24:19 GMT", "version": "v1" }, { "created": "Tue, 20 Jun 2000 19:20:21 GMT", "version": "v2" } ]

2009-10-31

[ [ "D'Hoker", "E.", "", "UCLA" ], [ "Pioline", "B.", "", "Harvard and LPTHE" ] ]

We present conjectures for the space-time form and leading large N dependence of extremal and near-extremal correlation functions in the \N=8 superconformal Yang-Mills theory in d=3 as well as in the (0,2) superconformal theory in d=6, using their gravity duals with M-theory on $AdS_4\times \S^7$ and $AdS_7 \times \S^4$ respectively. As a key part of the conjectures, we argue that the bulk couplings associated with extremal and near-extremal field configurations in the corresponding $AdS_4$ and $AdS_7$ gauged supergravities vanish. The vanishing of these couplings constitutes a generalization of the property of consistent truncation of the Kaluza-Klein modes.

6.03505

5.60076

6.738672

5.159695

5.800908

5.545694

5.624279

5.576888

5.640023

7.199978

5.466068

5.55306

5.562199

5.317252

5.361427

5.558177

5.534601

5.501689

5.242299

5.744422

5.512397

2404.19414

Hiromasa Watanabe

Toward the application of large-$N$ deconfinement to SU(3) QCD

14 pages, 5 figures, Contribution to the proceedings of "Workshop on Noncommutative and Generalized Geometry in String Theory, Gauge Theory and Related Physical Models" in the Corfu Summer Institute 2023, 18 - 25 September 2023, Corfu, Greece, based on arXiv:2310.01940 [hep-th] and arXiv:2310.07533 [hep-th]

null

YITP-24-38

hep-th hep-lat hep-ph nucl-th

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

It is generally known for $\mathrm{U}(N)$ gauge theory at finite temperature that phase transitions are manifested by taking the large-$N$ limit. Since the large-$N$ theory undergoes two thermodynamic phase transitions, a nontrivial intermediate phase can be realized in addition to the phases classified as the conventional confined and deconfined phases. In this talk, we discuss that a similar picture can be applied to QCD with $N=3$. In particular, we analyze the gauge configurations of lattice QCD calculations involving dynamical quarks and show the results of an analysis of the deviation due to finite-temperature effects from the Haar randomness expected at zero temperature in $\mathrm{SU}(N)$ gauge theory, using physical pictures suggested by the large-$N$ theory.

[ { "created": "Tue, 30 Apr 2024 10:01:36 GMT", "version": "v1" } ]

2024-05-01

[ [ "Watanabe", "Hiromasa", "" ] ]

It is generally known for $\mathrm{U}(N)$ gauge theory at finite temperature that phase transitions are manifested by taking the large-$N$ limit. Since the large-$N$ theory undergoes two thermodynamic phase transitions, a nontrivial intermediate phase can be realized in addition to the phases classified as the conventional confined and deconfined phases. In this talk, we discuss that a similar picture can be applied to QCD with $N=3$. In particular, we analyze the gauge configurations of lattice QCD calculations involving dynamical quarks and show the results of an analysis of the deviation due to finite-temperature effects from the Haar randomness expected at zero temperature in $\mathrm{SU}(N)$ gauge theory, using physical pictures suggested by the large-$N$ theory.

11.449179

11.531562

11.19062

10.750268

11.297339

10.796767

11.65103

10.433873

10.585715

11.662465

10.378499

10.13311

10.598083

10.409813

10.34561

10.708922

10.035439

10.76985

10.343582

10.519829

10.377148

2210.14539

Cheng-Yong Zhang

Qian Chen, Zhuan Ning, Yu Tian, Bin Wang, Cheng-Yong Zhang

Descalarization by Quenching Charged Hairy Black Hole in asymptotically AdS spacetime

24 pages, 6 figures

null

10.1007/JHEP01(2023)062

null

hep-th

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

In this work, we study the real-time dynamics of the charged hairy black hole with the time-dependent source of scalar field in asymptotically anti-de Sitter (AdS) spacetime. The numerical results reveal a novel descalarization mechanism. In order to obtain the hairy black hole as the initial data for the quench process, we first analyze the quasi-normal modes of the massive complex scalar field on the Reissner-Nordstr\"om anti-de Sitter (RN-AdS) black hole background. We find the dominant unstable modes for large and small RN-AdS black holes come from the zero-damped modes and AdS modes, respectively. Then, the unstable RN-AdS black holes are perturbed to trigger the transition to hairy black holes. With the hairy black hole in hand, we specify a time dependent scalar source for the system. As the source is turned on, the electric charge, energy and scalar condensation of the system start to oscillate with the entropy increasing monotonically. Finally, with the decay of the scalar source, the system gradually settles down to a new state. Interestingly, the final state of the evolution could be a hairy black hole with less scalar condensation, a RN-AdS black hole or a Schwarzschild-AdS black hole, which depends on the quench strength. However, as long as the quench strength is large enough, the system always loses all the electric charge and converges to the Schwarzschild-AdS black hole.

[ { "created": "Wed, 26 Oct 2022 07:59:16 GMT", "version": "v1" } ]

2023-02-01

[ [ "Chen", "Qian", "" ], [ "Ning", "Zhuan", "" ], [ "Tian", "Yu", "" ], [ "Wang", "Bin", "" ], [ "Zhang", "Cheng-Yong", "" ] ]

In this work, we study the real-time dynamics of the charged hairy black hole with the time-dependent source of scalar field in asymptotically anti-de Sitter (AdS) spacetime. The numerical results reveal a novel descalarization mechanism. In order to obtain the hairy black hole as the initial data for the quench process, we first analyze the quasi-normal modes of the massive complex scalar field on the Reissner-Nordstr\"om anti-de Sitter (RN-AdS) black hole background. We find the dominant unstable modes for large and small RN-AdS black holes come from the zero-damped modes and AdS modes, respectively. Then, the unstable RN-AdS black holes are perturbed to trigger the transition to hairy black holes. With the hairy black hole in hand, we specify a time dependent scalar source for the system. As the source is turned on, the electric charge, energy and scalar condensation of the system start to oscillate with the entropy increasing monotonically. Finally, with the decay of the scalar source, the system gradually settles down to a new state. Interestingly, the final state of the evolution could be a hairy black hole with less scalar condensation, a RN-AdS black hole or a Schwarzschild-AdS black hole, which depends on the quench strength. However, as long as the quench strength is large enough, the system always loses all the electric charge and converges to the Schwarzschild-AdS black hole.

5.899506

5.920876

5.603391

5.413339

5.944328

5.937325

6.208868

5.509276

5.830387

5.808598

5.639446

5.66705

5.509375

5.363157

5.523471

5.576941

5.520694

5.431241

5.455888

5.452096

5.48261

hep-th/9801147

Pei-Ming Ho

Pei-Ming Ho, Yong-Shi Wu

Noncommutative Gauge Theories in Matrix Theory

11 pages, Latex, discussions on orientifolds added

Phys. Rev. D 58, 066003 (1999)

10.1103/PhysRevD.58.066003

UU-HEP/98-01

hep-th

null

We present a general framework for Matrix theory compactified on a quotient space R^n/G, with G a discrete group of Euclidean motions in R^n. The general solution to the quotient conditions gives a gauge theory on a noncommutative space. We characterize the resulting noncommutative gauge theory in terms of the twisted group algebra of G associated with a projective regular representation. Also we show how to extend our treatments to incorporate orientifolds.

[ { "created": "Thu, 22 Jan 1998 22:52:36 GMT", "version": "v1" }, { "created": "Thu, 9 Apr 1998 15:58:57 GMT", "version": "v2" } ]

2016-08-25

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

We present a general framework for Matrix theory compactified on a quotient space R^n/G, with G a discrete group of Euclidean motions in R^n. The general solution to the quotient conditions gives a gauge theory on a noncommutative space. We characterize the resulting noncommutative gauge theory in terms of the twisted group algebra of G associated with a projective regular representation. Also we show how to extend our treatments to incorporate orientifolds.

12.798935

9.877886

11.370453

9.555145

10.97877

10.070618

10.406271

9.136512

10.030954

14.109815

10.722809

9.915871

10.797579

9.559191

9.579412

9.326941

9.369792

9.520572

9.394395

10.450125

10.092589

1612.05646

Timo Weigand

Philipp Arras, Antonella Grassi, and Timo Weigand

Terminal Singularities, Milnor Numbers, and Matter in F-theory

47 pages, 6 figures, 12 tables

Journal of Geometry and Physics 123, 71-97, 2018

10.1016/j.geomphys.2017.09.001

null

hep-th math.AG math.AT

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

We initiate a systematic investigation of F-theory on elliptic fibrations with singularities which cannot be resolved without breaking the Calabi-Yau condition, corresponding to $\mathbb Q$-factorial terminal singularities. It is the purpose of this paper to elucidate the physical origin of such non-crepant singularities in codimension two and to systematically analyse F-theory compactifications containing such singularities. The singularities reflect the presence of localised matter states from wrapped M2-branes which are not charged under any massless gauge potential. We identify a class of $\mathbb Q$-factorial terminal singularities on elliptically fibered Calabi-Yau threefolds for which we can compute the number of uncharged localised hypermultiplets in terms of their associated Milnor numbers. These count the local complex deformations of the singularities. The resulting six-dimensional spectra are shown to be anomaly-free. We exemplify this in a variety of cases, including models with non-perturbative gauge groups with both charged and uncharged localised matter. The underlying mathematics will be discussed further in a forthcoming publication.

[ { "created": "Fri, 16 Dec 2016 21:00:04 GMT", "version": "v1" } ]

2020-11-11

[ [ "Arras", "Philipp", "" ], [ "Grassi", "Antonella", "" ], [ "Weigand", "Timo", "" ] ]

We initiate a systematic investigation of F-theory on elliptic fibrations with singularities which cannot be resolved without breaking the Calabi-Yau condition, corresponding to $\mathbb Q$-factorial terminal singularities. It is the purpose of this paper to elucidate the physical origin of such non-crepant singularities in codimension two and to systematically analyse F-theory compactifications containing such singularities. The singularities reflect the presence of localised matter states from wrapped M2-branes which are not charged under any massless gauge potential. We identify a class of $\mathbb Q$-factorial terminal singularities on elliptically fibered Calabi-Yau threefolds for which we can compute the number of uncharged localised hypermultiplets in terms of their associated Milnor numbers. These count the local complex deformations of the singularities. The resulting six-dimensional spectra are shown to be anomaly-free. We exemplify this in a variety of cases, including models with non-perturbative gauge groups with both charged and uncharged localised matter. The underlying mathematics will be discussed further in a forthcoming publication.

7.507586

7.308758

8.571432

7.023592

7.606979

6.954734

7.510896

7.229967

7.068137

9.571321

7.080144

7.084049

7.375141

7.132981

7.301102

7.212379

7.35052

7.048182

7.074177

7.534869

7.144533

1008.0100

Seyed Hossein Hendi

Magnetic Branes Supported by Nonlinear Electromagnetic Field

15 pages, one eps figure

Class.Quant.Grav.26:225014,2009

10.1088/0264-9381/26/22/225014

null

hep-th

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

Considering the nonlinear electromagnetic field coupled to Einstein gravity in the presence of cosmological constant, we obtain a new class of $d$-dimensional magnetic brane solutions. This class of solutions yields a spacetime with a longitudinal nonlinear magnetic field generated by a static source. These solutions have no curvature singularity and no horizons but have a conic geometry with a deficit angle $\delta \phi$. We investigate the effects of nonlinearity on the metric function and deficit angle and also find that for the special range of the nonlinear parameter, the solutions are not asymptotic AdS. We generalize this class of solutions to the case of spinning magnetic solutions, and find that when one or more rotation parameters are nonzero, the brane has a net electric charge which is proportional to the magnitude of the rotation parameters. Then, we use the counterterm method and compute the conserved quantities of these spacetimes. Finally, we obtain a constrain on the nonlinear parameter, such that the nonlinear electromagnetic field is conformally invariant.

[ { "created": "Sat, 31 Jul 2010 15:14:33 GMT", "version": "v1" } ]

2014-11-21

[ [ "Hendi", "Seyed Hossein", "" ] ]

Considering the nonlinear electromagnetic field coupled to Einstein gravity in the presence of cosmological constant, we obtain a new class of $d$-dimensional magnetic brane solutions. This class of solutions yields a spacetime with a longitudinal nonlinear magnetic field generated by a static source. These solutions have no curvature singularity and no horizons but have a conic geometry with a deficit angle $\delta \phi$. We investigate the effects of nonlinearity on the metric function and deficit angle and also find that for the special range of the nonlinear parameter, the solutions are not asymptotic AdS. We generalize this class of solutions to the case of spinning magnetic solutions, and find that when one or more rotation parameters are nonzero, the brane has a net electric charge which is proportional to the magnitude of the rotation parameters. Then, we use the counterterm method and compute the conserved quantities of these spacetimes. Finally, we obtain a constrain on the nonlinear parameter, such that the nonlinear electromagnetic field is conformally invariant.

8.490386

4.390122

8.210218

6.070724

6.023353

5.765455

6.094212

5.382759

5.73945

8.191574

6.61448

6.964923

8.082346

7.52289

7.252854

7.235006

7.235716

7.21515

7.353216

8.040981

7.419991

1711.01169

Victor Chernyak

Victor L. Chernyak

Softly broken ${\cal N}=2$ SQCD: mass spectra in vacua with unbroken $Z_{2N_c-N_F}$ symmetry

78 pages, v2: text significantly improved (mainly in sections 2.1,6.2 and 6.4), typos fixed, results unchanged. arXiv admin note: substantial text overlap with arXiv:1603.04255

null

hep-th

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

Considered are ${\cal N}=2\, SU(N_c)$ or $U(N_c)$ SQCD with $N_F<2N_c-1$ equal mass quark flavors. ${\cal N}=2$ supersymmetry is softly broken down to ${\cal N}=1$ by the mass term $\mu_{\rm x}{\rm Tr}\,(X^2)$ of colored adjoint scalar partners of gluons, $\mu_{\rm x}\ll\Lambda_2$ ($\Lambda_2$ is the scale factor of the $SU(N_c)$ gauge coupling). There is a large number of different types of vacua in these theories with both unbroken and spontaneously broken global flavor symmetry, $U(N_F)\rightarrow U({\rm n}_1)\times U({\rm n}_2)$. We consider in this paper the large subset of these vacua with the unbroken non-trivial $Z_{2N_c-N_F\geq 2}$ discrete symmetry, at different hierarchies between the Lagrangian parameters $m\gtrless\Lambda_2,\,\, \mu_{\rm x}\gtrless m$. The forms of low energy Lagrangians, charges of light particles and mass spectra are described in the main text for all these vacua. The calculations of power corrections to the leading terms of the low energy quark and dyon condensates are presented in two important Appendices. The results agree with also presented in these Appendices independent calculations of these condensates using roots of the Seiberg-Witten spectral curve. This agreement confirms in a non-trivial way a self-consistency of the whole approach. Our results differ essentially from corresponding results in e.g. recent related papers arXiv:1304.0822, arXiv:1403.6086 and arXiv:1704.06201 of M.Shifman and A.Yung (and in a number of their previous numerous papers on this subject), and we explain in the text the reasons for these differences. (See also the extended critique of a number of results of these authors in section 8 of arXiv:1308.5863).

[ { "created": "Thu, 2 Nov 2017 08:46:36 GMT", "version": "v1" }, { "created": "Tue, 28 Jul 2020 12:16:04 GMT", "version": "v2" } ]

2020-07-30

[ [ "Chernyak", "Victor L.", "" ] ]

Considered are ${\cal N}=2\, SU(N_c)$ or $U(N_c)$ SQCD with $N_F<2N_c-1$ equal mass quark flavors. ${\cal N}=2$ supersymmetry is softly broken down to ${\cal N}=1$ by the mass term $\mu_{\rm x}{\rm Tr}\,(X^2)$ of colored adjoint scalar partners of gluons, $\mu_{\rm x}\ll\Lambda_2$ ($\Lambda_2$ is the scale factor of the $SU(N_c)$ gauge coupling). There is a large number of different types of vacua in these theories with both unbroken and spontaneously broken global flavor symmetry, $U(N_F)\rightarrow U({\rm n}_1)\times U({\rm n}_2)$. We consider in this paper the large subset of these vacua with the unbroken non-trivial $Z_{2N_c-N_F\geq 2}$ discrete symmetry, at different hierarchies between the Lagrangian parameters $m\gtrless\Lambda_2,\,\, \mu_{\rm x}\gtrless m$. The forms of low energy Lagrangians, charges of light particles and mass spectra are described in the main text for all these vacua. The calculations of power corrections to the leading terms of the low energy quark and dyon condensates are presented in two important Appendices. The results agree with also presented in these Appendices independent calculations of these condensates using roots of the Seiberg-Witten spectral curve. This agreement confirms in a non-trivial way a self-consistency of the whole approach. Our results differ essentially from corresponding results in e.g. recent related papers arXiv:1304.0822, arXiv:1403.6086 and arXiv:1704.06201 of M.Shifman and A.Yung (and in a number of their previous numerous papers on this subject), and we explain in the text the reasons for these differences. (See also the extended critique of a number of results of these authors in section 8 of arXiv:1308.5863).

7.404706

7.505673

7.820216

7.202163

7.898153

7.968872

7.703622

7.623924

7.307542

8.721429

7.275147

7.207739

7.413436

7.026119

7.2936

7.31023

7.279418

7.083145

7.07057

7.386231

7.251403

1601.01287

Vishagan Sivanesan

C\'edric Deffayet, Shinji Mukohyama, Vishagan Sivanesan

On p-form theories with gauge invariant second order field equations

29 pages

Phys. Rev. D 93, 085027 (2016)

10.1103/PhysRevD.93.085027

null

hep-th gr-qc

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

We explore field theories of a single p-form with equations of motions of order strictly equal to two and gauge invariance. We give a general method for the classification of such theories which are extensions to the p-forms of the Galileon models for scalars. Our classification scheme allows to compute an upper bound on the number of different such theories depending on p and on the space-time dimension. We are also able to build a non trivial Galileon like theory for a 3-form with gauge invariance and an action which is polynomial into the derivatives of the form. This theory has gauge invariant field equations but an action which is not, like a Chern-Simons theory. Hence the recently discovered no-go theorem stating that there are no non trivial gauge invariant vector Galileons (which we are also able here to confirm with our method) does not extend to other odd p cases.

[ { "created": "Wed, 6 Jan 2016 19:41:13 GMT", "version": "v1" } ]

2016-04-27

[ [ "Deffayet", "Cédric", "" ], [ "Mukohyama", "Shinji", "" ], [ "Sivanesan", "Vishagan", "" ] ]

We explore field theories of a single p-form with equations of motions of order strictly equal to two and gauge invariance. We give a general method for the classification of such theories which are extensions to the p-forms of the Galileon models for scalars. Our classification scheme allows to compute an upper bound on the number of different such theories depending on p and on the space-time dimension. We are also able to build a non trivial Galileon like theory for a 3-form with gauge invariance and an action which is polynomial into the derivatives of the form. This theory has gauge invariant field equations but an action which is not, like a Chern-Simons theory. Hence the recently discovered no-go theorem stating that there are no non trivial gauge invariant vector Galileons (which we are also able here to confirm with our method) does not extend to other odd p cases.

11.249143

11.779305

10.655473

10.528671

11.290272

10.8584

11.305824

11.099401

10.605292

11.156626

10.175065

10.449582

10.912257

10.650741

10.997572

10.443245

10.614491

10.42509

10.306046

10.363703

10.303256

1008.1281

Oscar Castillo Felisola Mr.

Oscar Castillo-Felisola and Ivan Schmidt

On the localization of fermions on thick D-branes

References added, analysis and discussion enhanced. 8 pages, 4 figures, submitted to PRD

Phys.Rev.D82:124062,2010

10.1103/PhysRevD.82.124062

null

hep-th hep-ph

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

Hints on the possible localization of fermions on double thick D-branes (Domain Walls) are found by analyzing the moduli space of parameters. Deeper analysis toward this direction might help to select phenomenologically plausible models. A new kind of condition for fermion localization is proposed. This might be useful in multi-brane-world scenarios, which are important when symmetry breaking is considered in the AdS/CFT formalism, as well as in curved brane-worlds.

[ { "created": "Fri, 6 Aug 2010 21:41:49 GMT", "version": "v1" }, { "created": "Tue, 12 Oct 2010 15:37:47 GMT", "version": "v2" } ]

2012-02-27

[ [ "Castillo-Felisola", "Oscar", "" ], [ "Schmidt", "Ivan", "" ] ]

Hints on the possible localization of fermions on double thick D-branes (Domain Walls) are found by analyzing the moduli space of parameters. Deeper analysis toward this direction might help to select phenomenologically plausible models. A new kind of condition for fermion localization is proposed. This might be useful in multi-brane-world scenarios, which are important when symmetry breaking is considered in the AdS/CFT formalism, as well as in curved brane-worlds.

24.547491

21.752462

20.756182

20.423164

22.750147

21.977617

20.118885

20.452274

20.904242

22.1998

19.723637

21.389738

21.217018

20.571821

21.323448

21.979862

21.505236

20.728497

21.187155

21.674162

21.214827

hep-th/9401009

null

S. De Leo and P. Rotelli

Translations between Quaternion and Complex Quantum Mechanics

15 pages, LaTeX, ULTH-93-38

Prog.Theor.Phys. 92 (1994) 917-926

10.1143/ptp/92.5.917

null

hep-th

null

While in general there is no one-to-one correspondence between complex and quaternion quantum mechanics (QQM), there exists at least one version of QQM in which a {\em partial} set of {\em translations} may be made. We define these translations and use the rules to obtain rapid quaternion counterparts (some of which are new) of standard quantum mechanical results.

[ { "created": "Wed, 5 Jan 1994 10:25:00 GMT", "version": "v1" } ]

2017-03-08

[ [ "De Leo", "S.", "" ], [ "Rotelli", "P.", "" ] ]

While in general there is no one-to-one correspondence between complex and quaternion quantum mechanics (QQM), there exists at least one version of QQM in which a {\em partial} set of {\em translations} may be made. We define these translations and use the rules to obtain rapid quaternion counterparts (some of which are new) of standard quantum mechanical results.

18.645683

16.456652

19.050276

17.359007

16.891453

18.843643

18.572702

16.477436

18.091509

16.172266

16.528936

17.61248

16.215755

16.726292

18.338629

18.188326

17.532417

17.409576

17.94475

16.216181

18.489077

1301.2325

Raphael Flauger

Sergei Dubovsky, Raphael Flauger, Victor Gorbenko

Evidence for a new particle on the worldsheet of the QCD flux tube

5 pages, 3 figures, v2: slightly expanded version of Letter accepted by PRL, v3: figure updated to match journal version

null

10.1103/PhysRevLett.111.062006

null

hep-th hep-lat hep-ph

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

We propose a new approach for the calculation of the spectrum of excitations of QCD flux tubes. It relies on the fact that the worldsheet theory is integrable at low energies. With this approach, energy levels can be calculated for much shorter flux tubes than was previously possible, allowing for a quantitative comparison with existing lattice data. The improved theoretical control makes it manifest that existing lattice data provides strong evidence for a new pseudoscalar particle localized on the QCD fluxtube - the worldsheet axion.

[ { "created": "Thu, 10 Jan 2013 21:00:01 GMT", "version": "v1" }, { "created": "Fri, 2 Aug 2013 09:31:08 GMT", "version": "v2" }, { "created": "Thu, 14 Nov 2013 15:13:01 GMT", "version": "v3" } ]

2013-11-15

[ [ "Dubovsky", "Sergei", "" ], [ "Flauger", "Raphael", "" ], [ "Gorbenko", "Victor", "" ] ]

We propose a new approach for the calculation of the spectrum of excitations of QCD flux tubes. It relies on the fact that the worldsheet theory is integrable at low energies. With this approach, energy levels can be calculated for much shorter flux tubes than was previously possible, allowing for a quantitative comparison with existing lattice data. The improved theoretical control makes it manifest that existing lattice data provides strong evidence for a new pseudoscalar particle localized on the QCD fluxtube - the worldsheet axion.

11.124475

9.036205

11.616563

9.174607

9.53506

9.209417

9.013899

9.778375

9.108647

10.453918

9.291509

9.44387

10.407767

9.785199

10.016367

9.743152

9.839819

9.944544

10.213479

11.216021

9.979143

hep-th/9903208

Carlo A. Trugenberger

M. C. Diamantini, H. Kleinert and C. A. Trugenberger

Universality Class of Confining Strings

11 pages, harvmac

Phys.Lett. B457 (1999) 87-93

10.1016/S0370-2693(99)00532-8

null

hep-th

null

A recently proposed model of confining strings has a non-local world-sheet action induced by a space-time Kalb-Ramond tensor field. Here we show that, in the large-D approximation, an infinite set of ghost- and tachyon-free truncations of the derivative expansion of this action all lead to c=1 models. Their infrared limit describes smooth strings with world-sheets of Hausdorff dimension D_H=2 and long-range orientational order, as expected for QCD strings.

[ { "created": "Wed, 24 Mar 1999 15:51:11 GMT", "version": "v1" } ]

2009-10-31

[ [ "Diamantini", "M. C.", "" ], [ "Kleinert", "H.", "" ], [ "Trugenberger", "C. A.", "" ] ]

A recently proposed model of confining strings has a non-local world-sheet action induced by a space-time Kalb-Ramond tensor field. Here we show that, in the large-D approximation, an infinite set of ghost- and tachyon-free truncations of the derivative expansion of this action all lead to c=1 models. Their infrared limit describes smooth strings with world-sheets of Hausdorff dimension D_H=2 and long-range orientational order, as expected for QCD strings.

15.279583

11.646077

14.670665

12.608624

11.714682

12.69342

12.089709

12.0869

12.086879

16.126854

13.229441

13.489862

14.281373

13.542741

13.613219

13.621968

13.082503

12.848211

14.541855

14.314562

13.429276

hep-th/0409213

Valentina Petkova

P. Furlan and V.B. Petkova

Virasoro Symmetry in a 2h-dimensional Model and Its Implications

15 pages, harvmac

null

hep-th

null

The set of two partial differential equations for the Appell hypergeometric function in two variables F_4(a,b,c,a+b-c+2-h,x,y) is shown to arise as a null vector decoupling relation in a 2h-dimensional generalisation of the Coulomb gas model. It corresponds to a level two singular vector of an intrinsic Virasoro algebra.

[ { "created": "Tue, 21 Sep 2004 16:23:05 GMT", "version": "v1" } ]

2007-05-23

[ [ "Furlan", "P.", "" ], [ "Petkova", "V. B.", "" ] ]

The set of two partial differential equations for the Appell hypergeometric function in two variables F_4(a,b,c,a+b-c+2-h,x,y) is shown to arise as a null vector decoupling relation in a 2h-dimensional generalisation of the Coulomb gas model. It corresponds to a level two singular vector of an intrinsic Virasoro algebra.

17.155609

13.500088

19.915455

11.701916

13.693117

13.618971

12.812408

13.952641

10.923637

21.221106

11.55202

13.561055

16.806427

11.814927

13.42896

12.828955

12.743707

13.464248

12.292254

16.708073

13.24559

hep-th/9911241

Christian Fronsdal

Christian Fronsdal (UCLA)

Singletons and Neutrinos

11 pages, plain Tex

Lett.Math.Phys.52:51-59,2000

10.1023/A:1007693518414

null

hep-th

null

The first half is a rapid review of 30 years of work on physics in anti-De Sitter space, with heavy emphasis on singletons. Principal topics are the kinematical basis for regarding singletons as the constituents of massless particles, and the effect of (negative) curvature in the infrared domain. Ideas that lead to an alternative to Big Bang cosmology are merely sketched. The second half presents new ideas inspired by experimental results on neutrino oscillations. Since leptons are massless before symmetry breaking it is natural to view them as composite states consisting of one Bose singleton (the Rac) and one Fermi singleton (the Di). This gives rise to a particular formulation of the phenomenology of electroweak physics, and strong suggestions for an expansion of the Standard model. An expansion of the Higgs sector seems inevitable, and flavor changing symmetry, complete with a new set of heavy vector mesons, is a very attractive possibility.

[ { "created": "Tue, 30 Nov 1999 00:00:41 GMT", "version": "v1" } ]

2011-04-15

[ [ "Fronsdal", "Christian", "", "UCLA" ] ]

The first half is a rapid review of 30 years of work on physics in anti-De Sitter space, with heavy emphasis on singletons. Principal topics are the kinematical basis for regarding singletons as the constituents of massless particles, and the effect of (negative) curvature in the infrared domain. Ideas that lead to an alternative to Big Bang cosmology are merely sketched. The second half presents new ideas inspired by experimental results on neutrino oscillations. Since leptons are massless before symmetry breaking it is natural to view them as composite states consisting of one Bose singleton (the Rac) and one Fermi singleton (the Di). This gives rise to a particular formulation of the phenomenology of electroweak physics, and strong suggestions for an expansion of the Standard model. An expansion of the Higgs sector seems inevitable, and flavor changing symmetry, complete with a new set of heavy vector mesons, is a very attractive possibility.

15.800943

18.801794

17.164099

15.448672

17.792097

17.596478

18.929756

16.861082

16.930433

17.38946

16.258734

15.634936

15.806055

15.876831

15.50513

15.728087

15.837018

15.275724

15.303561

16.512653

15.193767

1106.1626

Elliott H. Lieb

Elliott H. Lieb and Yisong Yang

Non-Abelian Vortices in Supersymmetric Gauge Field Theory via Direct Methods

38 pages, latex

null

10.1007/s00220-012-1433-z

null

hep-th math-ph math.MP

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

Vortices in supersymmetric gauge field theory are important constructs in a basic conceptual phenomenon commonly referred to as the dual Meissner effect which is responsible for color confinement. Based on a direct minimization approach, we present a series of sharp existence and uniqueness theorems for the solutions of some non-Abelian vortex equations governing color-charged multiply distributed flux tubes, which provide an essential mechanism for linear confinement. Over a doubly periodic domain, existence results are obtained under explicitly stated necessary and sufficient conditions that relate the size of the domain, the vortex numbers, and the underlying physical coupling parameters of the models. Over the full plane, existence results are valid for arbitrary vortex numbers and coupling parameters. In all cases, solutions are unique.

[ { "created": "Wed, 8 Jun 2011 19:18:37 GMT", "version": "v1" } ]

2015-05-28

[ [ "Lieb", "Elliott H.", "" ], [ "Yang", "Yisong", "" ] ]

Vortices in supersymmetric gauge field theory are important constructs in a basic conceptual phenomenon commonly referred to as the dual Meissner effect which is responsible for color confinement. Based on a direct minimization approach, we present a series of sharp existence and uniqueness theorems for the solutions of some non-Abelian vortex equations governing color-charged multiply distributed flux tubes, which provide an essential mechanism for linear confinement. Over a doubly periodic domain, existence results are obtained under explicitly stated necessary and sufficient conditions that relate the size of the domain, the vortex numbers, and the underlying physical coupling parameters of the models. Over the full plane, existence results are valid for arbitrary vortex numbers and coupling parameters. In all cases, solutions are unique.

15.861178

17.112846

16.904844

17.263124

17.195663

17.914772

17.391674

16.267586

16.705111

19.200966

16.57263

15.823646

15.610145

16.130482

15.912854

16.126549

15.057985

15.504679

15.995214

15.650738

16.064426

hep-th/0310102

Jesper Jacobsen

Vladimir S Dotsenko, Jesper Lykke Jacobsen, Raoul Santachiara

Conformal field theories with Z_N and Lie algebra symmetries

4 pages, 2 figures

Phys.Lett. B584 (2004) 186-191

10.1016/j.physletb.2004.01.033

null

hep-th cond-mat

null

We construct two-dimensional conformal field theories with a Z_N symmetry, based on the second solution of Fateev-Zamolodchikov for the parafermionic chiral algebra. Primary operators are classified according to their transformation properties under the dihedral group (Z_N x Z_2, where Z_2 stands for the Z_N charge conjugation), as singlets, [(N-1)/2] different doublets, and a disorder operator. In an assumed Coulomb gas scenario, the corresponding vertex operators are accommodated by the Kac table based on the weight lattice of the Lie algebra B_{(N-1)/2} when N is odd, and D_{N/2} when N is even. The unitary theories are representations of the coset SO_n(N) x SO_2(N) / SO_{n+2}(N), with n=1,2,.... We suggest that physically they realize the series of multicritical points in statistical systems having a Z_N symmetry.

[ { "created": "Fri, 10 Oct 2003 13:31:46 GMT", "version": "v1" } ]

2009-11-10

[ [ "Dotsenko", "Vladimir S", "" ], [ "Jacobsen", "Jesper Lykke", "" ], [ "Santachiara", "Raoul", "" ] ]

We construct two-dimensional conformal field theories with a Z_N symmetry, based on the second solution of Fateev-Zamolodchikov for the parafermionic chiral algebra. Primary operators are classified according to their transformation properties under the dihedral group (Z_N x Z_2, where Z_2 stands for the Z_N charge conjugation), as singlets, [(N-1)/2] different doublets, and a disorder operator. In an assumed Coulomb gas scenario, the corresponding vertex operators are accommodated by the Kac table based on the weight lattice of the Lie algebra B_{(N-1)/2} when N is odd, and D_{N/2} when N is even. The unitary theories are representations of the coset SO_n(N) x SO_2(N) / SO_{n+2}(N), with n=1,2,.... We suggest that physically they realize the series of multicritical points in statistical systems having a Z_N symmetry.

7.780872

8.747418

9.941971

8.342784

7.657374

8.43563

8.147547

8.154972

8.034416

10.437284

8.208161

7.7806

7.952371

7.961823

8.022799

7.684521

8.121038

8.013359

7.809376

8.321826

7.765834

2402.19415

Sebastian Mizera

Ruth Britto, Claude Duhr, Holmfridur S. Hannesdottir, Sebastian Mizera

Cutting-Edge Tools for Cutting Edges

23 pages, invited contribution to the Encyclopedia of Mathematical Physics

null

BONN-TH-2024-05

hep-th hep-ph

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

We review different notions of cuts appearing throughout the literature on scattering amplitudes. Despite similar names, such as unitarity cuts or generalized cuts, they often represent distinct computations and distinct physics. We consolidate this knowledge, summarize how cuts are used in various computational strategies, and explain their relations to other quantities including imaginary parts, discontinuities, and monodromies. Differences and nuances are illustrated on explicit examples.

[ { "created": "Thu, 29 Feb 2024 18:13:31 GMT", "version": "v1" } ]

2024-03-01

[ [ "Britto", "Ruth", "" ], [ "Duhr", "Claude", "" ], [ "Hannesdottir", "Holmfridur S.", "" ], [ "Mizera", "Sebastian", "" ] ]

We review different notions of cuts appearing throughout the literature on scattering amplitudes. Despite similar names, such as unitarity cuts or generalized cuts, they often represent distinct computations and distinct physics. We consolidate this knowledge, summarize how cuts are used in various computational strategies, and explain their relations to other quantities including imaginary parts, discontinuities, and monodromies. Differences and nuances are illustrated on explicit examples.

19.100006

15.514977

18.619162

17.378916

18.02161

14.977998

15.969127

15.5723

16.301826

21.014212

15.924993

14.943642

16.331493

15.303353

14.990845

15.503395

15.078132

14.989904

15.440595

15.757551

14.750739

0911.1562

Samuel Monnier

Costas Bachas and Samuel Monnier

Defect loops in gauged Wess-Zumino-Witten models

43 pages, 2 figures. v2: a few typos corrected, version to be published in JHEP

JHEP 1002:003,2010

10.1007/JHEP02(2010)003

LPTENS 09/34, RUNHETC-2009-28

hep-th cond-mat.stat-mech

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

We consider loop observables in gauged Wess-Zumino-Witten models, and study the action of renormalization group flows on them. In the WZW model based on a compact Lie group G, we analyze at the classical level how the space of renormalizable defects is reduced upon the imposition of global and affine symmetries. We identify families of loop observables which are invariant with respect to an affine symmetry corresponding to a subgroup H of G, and show that they descend to gauge-invariant defects in the gauged model based on G/H. We study the flows acting on these families perturbatively, and quantize the fixed points of the flows exactly. From their action on boundary states, we present a derivation of the "generalized Affleck-Ludwig rule, which describes a large class of boundary renormalization group flows in rational conformal field theories.

[ { "created": "Sun, 8 Nov 2009 21:54:14 GMT", "version": "v1" }, { "created": "Sun, 31 Jan 2010 12:24:40 GMT", "version": "v2" } ]

2014-11-20

[ [ "Bachas", "Costas", "" ], [ "Monnier", "Samuel", "" ] ]

We consider loop observables in gauged Wess-Zumino-Witten models, and study the action of renormalization group flows on them. In the WZW model based on a compact Lie group G, we analyze at the classical level how the space of renormalizable defects is reduced upon the imposition of global and affine symmetries. We identify families of loop observables which are invariant with respect to an affine symmetry corresponding to a subgroup H of G, and show that they descend to gauge-invariant defects in the gauged model based on G/H. We study the flows acting on these families perturbatively, and quantize the fixed points of the flows exactly. From their action on boundary states, we present a derivation of the "generalized Affleck-Ludwig rule, which describes a large class of boundary renormalization group flows in rational conformal field theories.

7.853253

8.212604

9.636913

8.264236

8.322564

8.867867

8.596805

7.758456

7.830548

9.565762

7.625209

7.726585

8.23927

7.660478

7.610755

7.660245

7.716951

7.506478

7.432069

8.840902

7.572076

hep-th/9606111

Adel Bilal

Adel Bilal and Frank Ferrari (ENS Paris)

Exact Multiplets of Spontaneously Broken Discrete Global Symmetries: the Example of $N=2$ Susy QCD

6 pages, uses PHYZZX, to appear in the Proceedings of the Second International Sakharov Conference, Moscow, May 1996, based on a talk given by A.B

null

LPTENS-96/34

hep-th

null

In these notes, we emphasize the r\^ole of spontaneous broken global discrete symmetries acting on the moduli space of $N=2$ susy Yang-Mills theories and show how they can be used, together with the BPS condition, as a spectrum generating symmetry. In particular, in the strong-coupling region, all BPS states come in multiplets of this broken symmetry. This played a key r\^ole in the determination of the strong-coupling spectra.

[ { "created": "Tue, 18 Jun 1996 20:43:46 GMT", "version": "v1" } ]

2007-05-23

[ [ "Bilal", "Adel", "", "ENS Paris" ], [ "Ferrari", "Frank", "", "ENS Paris" ] ]

In these notes, we emphasize the r\^ole of spontaneous broken global discrete symmetries acting on the moduli space of $N=2$ susy Yang-Mills theories and show how they can be used, together with the BPS condition, as a spectrum generating symmetry. In particular, in the strong-coupling region, all BPS states come in multiplets of this broken symmetry. This played a key r\^ole in the determination of the strong-coupling spectra.

8.829191

7.165335

7.749781

7.198401

7.14167

7.498967

7.47663

7.573041

6.892931

8.849264

7.347892

7.202355

7.627725

7.238909

7.460204

7.271574

7.333134

7.322581

7.297885

7.673845

7.227518

0912.5075

Yan-Gang Miao

Noncommutative Extension of Minkowski Spacetime and Its Primary Application

24 pages, 3 figures; v2: a rewritten and enlarged version of arXiv:0903.4257[hep-th], to appear in Prog. Theor. Phys. 123 (2010) No.5

Prog. Theor. Phys.123:791-810, 2010

10.1143/PTP.123.791

null

hep-th math-ph math.MP

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

We propose a noncommutative extension of the Minkowski spacetime by introducing a well-defined proper time from the kappa-deformed Minkowski spacetime related to the standard basis. The extended Minkowski spacetime is commutative, i.e. it is based on the standard Heisenberg commutation relations, but some information of noncommutativity is encoded through the proper time to it. Within this framework, by simply considering the Lorentz invariance we can construct field theory models that comprise noncommutative effects naturally. In particular, we find a kind of temporal fuzziness related to noncommutativity in the noncommutative extension of the Minkowski spacetime. As a primary application, we investigate three types of formulations of chiral bosons, deduce the lagrangian theories of noncommutative chiral bosons and quantize them consistently in accordance with Dirac's method, and further analyze the self-duality of the lagrangian theories in terms of the parent action approach.

[ { "created": "Sun, 27 Dec 2009 14:06:01 GMT", "version": "v1" }, { "created": "Thu, 29 Apr 2010 09:27:25 GMT", "version": "v2" } ]

2010-05-27

[ [ "Miao", "Yan-Gang", "" ] ]

We propose a noncommutative extension of the Minkowski spacetime by introducing a well-defined proper time from the kappa-deformed Minkowski spacetime related to the standard basis. The extended Minkowski spacetime is commutative, i.e. it is based on the standard Heisenberg commutation relations, but some information of noncommutativity is encoded through the proper time to it. Within this framework, by simply considering the Lorentz invariance we can construct field theory models that comprise noncommutative effects naturally. In particular, we find a kind of temporal fuzziness related to noncommutativity in the noncommutative extension of the Minkowski spacetime. As a primary application, we investigate three types of formulations of chiral bosons, deduce the lagrangian theories of noncommutative chiral bosons and quantize them consistently in accordance with Dirac's method, and further analyze the self-duality of the lagrangian theories in terms of the parent action approach.

9.442526

9.223472

9.514988

9.001194

8.825863

8.873747

9.397106

8.840858

8.854515

10.333441

8.966063

8.997254

9.292627

8.930115

8.94895

8.828031

8.79052

8.770739

8.94533

9.388723

8.973569

1905.07190

Radoslav Rashkov

R. C. Rashkov

On some (integrable) structures in low-dimensional holography

23 pages, no figures

null

10.1016/j.nuclphysb.2019.114889

null

hep-th

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

Recent progress in holographic correspondence uncovered remarkable relations between key characteristics of the theories on both sides of duality and certain integrable models. In this note we revisit the problem of the role of certain invariants in low-dimensional holography. As motivating example we consider first the entanglement entropy in 2d CFT and projective invariants. Next we consider higher projective invariants and suggest generalization to higher spin theories. Quadratic in invariants deformations is considered and conjectured to play role in low-dimensional higher spin holography.

[ { "created": "Fri, 17 May 2019 10:51:19 GMT", "version": "v1" }, { "created": "Sun, 10 Nov 2019 18:59:47 GMT", "version": "v2" } ]

2020-01-29

[ [ "Rashkov", "R. C.", "" ] ]

Recent progress in holographic correspondence uncovered remarkable relations between key characteristics of the theories on both sides of duality and certain integrable models. In this note we revisit the problem of the role of certain invariants in low-dimensional holography. As motivating example we consider first the entanglement entropy in 2d CFT and projective invariants. Next we consider higher projective invariants and suggest generalization to higher spin theories. Quadratic in invariants deformations is considered and conjectured to play role in low-dimensional higher spin holography.

16.717657

15.935376

18.296158

15.072872

16.934349

17.090799

17.047749

16.597698

15.443289

18.924166

16.651325

14.820722

16.984022

15.366725

15.918536

15.928737

15.145809

15.642133

15.121241

16.368378

14.871922

hep-th/0412100

A. Joel Saavedra

Sergio del Campo, Ramon Herrera and Joel Saavedra

Closed inflationary universe models in Braneworld Cosmology

9 pages, 3 figures, accepted by International Journal of Modern Physics D. Minor changes and some reference was added

Int.J.Mod.Phys. D14 (2005) 861-872

10.1142/S0218271805007036

GACG-04/14

hep-th gr-qc

null

In this article we study closed inflationary universe models proposed by Linde in a brane world cosmological context. In this scenario we determine and characterize the existence of a closed universe, in presence of one self-interacting scalar field with an inflationary stage. Our results are compared to those found in General Relativity.

[ { "created": "Thu, 9 Dec 2004 15:59:15 GMT", "version": "v1" }, { "created": "Tue, 21 Dec 2004 20:56:00 GMT", "version": "v2" } ]

2009-11-10

[ [ "del Campo", "Sergio", "" ], [ "Herrera", "Ramon", "" ], [ "Saavedra", "Joel", "" ] ]

In this article we study closed inflationary universe models proposed by Linde in a brane world cosmological context. In this scenario we determine and characterize the existence of a closed universe, in presence of one self-interacting scalar field with an inflationary stage. Our results are compared to those found in General Relativity.

14.599432

12.509416

11.117885

11.076006

10.704866

12.117473

12.868649

10.025511

13.063553

11.602323

12.737312

12.224479

11.367382

11.883474

11.547614

11.890491

12.188444

11.358298

13.067583

11.854661

12.445065

2003.05737

Mehdi Lotfizadeh

M. Lotfizadeh

Super quantum Dirac operator on the q-deformed super fuzzy sphere in instanton sector using quantum super Ginsparg-Wilson algebra

null

10.1063/5.0023394

null

hep-th

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

It has been constructed the quantum super fuzzy Dirac and chirality operators on q-deformed super fuzzy sphere. Using the quantum super fuzzy Ginsparg-Wilson algebra, it has been studied the q-deformed super gauged fuzzy Dirac and chirality operators in instanton sector. It has been showed that they have correct commutative limit in the limit case when noncommutative parameter $ l $ tends to infinity and q tends to unit.

[ { "created": "Wed, 4 Mar 2020 20:00:54 GMT", "version": "v1" } ]

2020-10-28

[ [ "Lotfizadeh", "M.", "" ] ]

It has been constructed the quantum super fuzzy Dirac and chirality operators on q-deformed super fuzzy sphere. Using the quantum super fuzzy Ginsparg-Wilson algebra, it has been studied the q-deformed super gauged fuzzy Dirac and chirality operators in instanton sector. It has been showed that they have correct commutative limit in the limit case when noncommutative parameter $ l $ tends to infinity and q tends to unit.

16.291227

10.240774

15.807567

11.41005

10.977006

9.880822

9.976846

10.42682

10.675936

18.381544

11.399

12.666368

15.285463

13.705737

13.630627

13.796947

12.346577

13.666307

13.757773

14.93359

13.926074

2303.13879

El Hassan Saidi

Y. Boujakhrout, E.H Saidi, R. Ahl Laamara, L.B Drissi

't Hooft lines of ADE-type and Topological Quivers

LaTeX, 74 pages, 32 figures

SciPost Phys. 15, 078 (2023)

10.21468/SciPostPhys.15.3.078

null

hep-th

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

We investigate 4D Chern-Simons theory with ADE gauge symmetries in the presence of interacting Wilson and 't Hooft line defects. We analyse the intrinsic properties of these lines' coupling and explicate the building of oscillator-type Lax matrices verifying the RLL integrability equation. We propose gauge quiver diagrams Q$_{G}^{\mu }$ encoding the topological data carried by the Lax operators and give several examples where Darboux coordinates are interpreted in terms of topological bi-fundamental matter. We exploit this graphical description $\left( i\right) $ to give new results regarding solutions in representations beyond the fundamentals of $sl_{N}$, $% so_{2N}$ and $e_{6,7}$, and $\left( ii\right) $ to classify the Lax operators for simply laced symmetries in a unified E$_{7}$ CS theory. For quick access, a summary list of the leading topological quivers Q$% _{ADE}^{\mu }$ is given in the conclusion section [Figures 29.(a-e), 30.(a-d) and 31.(a-d)].

[ { "created": "Fri, 24 Mar 2023 09:44:11 GMT", "version": "v1" } ]

2023-08-30

[ [ "Boujakhrout", "Y.", "" ], [ "Saidi", "E. H", "" ], [ "Laamara", "R. Ahl", "" ], [ "Drissi", "L. B", "" ] ]

We investigate 4D Chern-Simons theory with ADE gauge symmetries in the presence of interacting Wilson and 't Hooft line defects. We analyse the intrinsic properties of these lines' coupling and explicate the building of oscillator-type Lax matrices verifying the RLL integrability equation. We propose gauge quiver diagrams Q$_{G}^{\mu }$ encoding the topological data carried by the Lax operators and give several examples where Darboux coordinates are interpreted in terms of topological bi-fundamental matter. We exploit this graphical description $\left( i\right) $ to give new results regarding solutions in representations beyond the fundamentals of $sl_{N}$, $% so_{2N}$ and $e_{6,7}$, and $\left( ii\right) $ to classify the Lax operators for simply laced symmetries in a unified E$_{7}$ CS theory. For quick access, a summary list of the leading topological quivers Q$% _{ADE}^{\mu }$ is given in the conclusion section [Figures 29.(a-e), 30.(a-d) and 31.(a-d)].

15.206352

15.674388

15.88496

14.598903

14.948787

14.99242

14.822845

14.43873

14.369039

19.924086

15.268333

14.319945

15.694251

14.016881

14.507212

14.77013

14.359442

14.316996

14.238677

15.275805

14.327452

1212.6128

Mohammad Hassan Vahidinia

S. H. Hendi and M. H. Vahidinia

Extended phase space thermodynamics and P-V criticality of black holes with nonlinear source

19 pages, 12 figures. An interesting section about grand canonical ensemble is added, minor improvements, updated to published version

Phys. Rev. D 88, 084045 (2013)

10.1103/PhysRevD.88.084045

null

hep-th gr-qc

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

In this paper, we consider the solutions of Einstein gravity in the presence of a generalized Maxwell theory, namely power Maxwell invariant. First, we investigate the analogy of nonlinear charged black hole solutions with the Van der Waals liquid--gas system in the extended phase space where the cosmological constant appear as pressure. Then, we plot isotherm $P$--$V$ diagram and study the thermodynamics of AdS black hole in the (grand canonical) canonical ensemble in which (potential) charge is fixed at infinity. Interestingly, we find the phase transition occurs in the both of canonical and grand canonical ensembles in contrast to RN black hole in Maxwell theory which only admits canonical ensemble phase transition. Moreover, we calculate the critical exponents and find their values are the same as those in mean field theory. Besides, considerably, we find in the grand canonical ensembles universal ratio $\frac{P_{c}v_{c}}{T_{c}}$ is independent of spacetime dimensions.

[ { "created": "Wed, 26 Dec 2012 07:17:52 GMT", "version": "v1" }, { "created": "Thu, 28 Mar 2013 11:01:40 GMT", "version": "v2" }, { "created": "Wed, 10 Jul 2013 04:52:50 GMT", "version": "v3" }, { "created": "Mon, 11 Nov 2013 09:10:07 GMT", "version": "v4" } ]

2013-11-12

[ [ "Hendi", "S. H.", "" ], [ "Vahidinia", "M. H.", "" ] ]

In this paper, we consider the solutions of Einstein gravity in the presence of a generalized Maxwell theory, namely power Maxwell invariant. First, we investigate the analogy of nonlinear charged black hole solutions with the Van der Waals liquid--gas system in the extended phase space where the cosmological constant appear as pressure. Then, we plot isotherm $P$--$V$ diagram and study the thermodynamics of AdS black hole in the (grand canonical) canonical ensemble in which (potential) charge is fixed at infinity. Interestingly, we find the phase transition occurs in the both of canonical and grand canonical ensembles in contrast to RN black hole in Maxwell theory which only admits canonical ensemble phase transition. Moreover, we calculate the critical exponents and find their values are the same as those in mean field theory. Besides, considerably, we find in the grand canonical ensembles universal ratio $\frac{P_{c}v_{c}}{T_{c}}$ is independent of spacetime dimensions.

8.396548

8.099245

6.536993

6.552738

7.638987

7.868312

7.558018

6.905807

7.655709

7.81191

7.538408

7.557607

7.830567

7.413562

7.537663

7.709184

7.862834

7.331339

7.831125

7.662223

7.883479

1906.01041

Idrish Huet

Idrish Huet, Michel Rausch de Traubenberg and Christian Schubert

Dihedral Invariant Polynomials in the effective Lagrangian of QED

Proceedings of the 32nd International Colloquium on Group Theoretical Methods in Physics

Journal of Physics: Conference Series, Volume 1194, Number 1, 2019

10.1088/1742-6596/1194/1/012046

null

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

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

We present a new group-theoretical technique to calculate weak field expansions for some Feynman diagrams using invariant polynomials of the dihedral group. In particular we show results obtained for the first coefficients of the three loop effective lagrangian of 1+1 QED in an external constant field, where the dihedral symmetry appears. Our results suggest that a closed form involving rational numbers and the Riemann zeta function might exist for these coefficients.

[ { "created": "Mon, 3 Jun 2019 19:34:28 GMT", "version": "v1" } ]

2019-06-05

[ [ "Huet", "Idrish", "" ], [ "de Traubenberg", "Michel Rausch", "" ], [ "Schubert", "Christian", "" ] ]

We present a new group-theoretical technique to calculate weak field expansions for some Feynman diagrams using invariant polynomials of the dihedral group. In particular we show results obtained for the first coefficients of the three loop effective lagrangian of 1+1 QED in an external constant field, where the dihedral symmetry appears. Our results suggest that a closed form involving rational numbers and the Riemann zeta function might exist for these coefficients.

13.466254

11.846284

14.235873

12.478999

13.257485

12.583531

13.290854

12.181144

12.250931

13.579506

12.386315

12.324044

13.903083

13.535966

12.701941

12.503806

12.550358

12.160901

12.689908

13.65384

12.248842

hep-th/9411057

Philip Argyres

Philip C. Argyres and Alon E. Faraggi

The Vacuum Structure and Spectrum of N=2 Supersymmetric SU(N) Gauge Theory

11 pages, Revtex, 2 figures. Reference added

Phys.Rev.Lett. 74 (1995) 3931-3934

10.1103/PhysRevLett.74.3931

IASSNS-HEP-94/94

hep-th

null

We present an exact description of the metric on the moduli space of vacua and the spectrum of massive states for four dimensional N=2 supersymmetric SU(n) gauge theories. The moduli space of quantum vacua is identified with the moduli space of a special set of genus n-1 hyperelliptic Riemann surfaces.

[ { "created": "Wed, 9 Nov 1994 22:56:29 GMT", "version": "v1" }, { "created": "Fri, 11 Nov 1994 19:30:05 GMT", "version": "v2" } ]

2009-10-28

[ [ "Argyres", "Philip C.", "" ], [ "Faraggi", "Alon E.", "" ] ]

We present an exact description of the metric on the moduli space of vacua and the spectrum of massive states for four dimensional N=2 supersymmetric SU(n) gauge theories. The moduli space of quantum vacua is identified with the moduli space of a special set of genus n-1 hyperelliptic Riemann surfaces.

6.738889

4.870915

6.003339

5.133178

5.153319

4.688217

4.448906

4.93237

4.765072

7.298621

4.954842

5.33517

6.27253

5.409514

5.162281

5.375113

5.127589

5.214043

5.533392

6.316595

5.056039

hep-th/0202080

Artemio Gonzalez-Lopez

F. Finkel, D. Gomez-Ullate, A. Gonzalez-Lopez, M.A. Rodriguez, and R. Zhdanov

On the Sutherland Spin Model of B_N Type and its Associated Spin Chain

17 pages, typeset with revtex4 and amsmath. Minor changes only. To appear in Commun. Math. Phys

Commun.Math.Phys. 233 (2003) 191-209

10.1007/s00220-002-0742-z

null

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

null

The B_N hyperbolic Sutherland spin model is expressed in terms of a suitable set of commuting Dunkl operators. This fact is exploited to derive a complete family of commuting integrals of motion of the model, thus establishing its integrability. The Dunkl operators are shown to possess a common flag of invariant finite-dimensional linear spaces of smooth scalar functions. This implies that the Hamiltonian of the model preserves a corresponding flag of smooth spin functions. The discrete spectrum of the restriction of the Hamiltonian to this spin flag is explicitly computed by triangularization. The integrability of the hyperbolic Sutherland spin chain of B_N type associated with the dynamical model is proved using Polychronakos's "freezing trick".

[ { "created": "Wed, 13 Feb 2002 16:48:04 GMT", "version": "v1" }, { "created": "Wed, 19 Jun 2002 10:06:18 GMT", "version": "v2" }, { "created": "Wed, 6 Nov 2002 13:52:36 GMT", "version": "v3" } ]

2009-11-07

[ [ "Finkel", "F.", "" ], [ "Gomez-Ullate", "D.", "" ], [ "Gonzalez-Lopez", "A.", "" ], [ "Rodriguez", "M. A.", "" ], [ "Zhdanov", "R.", "" ] ]

The B_N hyperbolic Sutherland spin model is expressed in terms of a suitable set of commuting Dunkl operators. This fact is exploited to derive a complete family of commuting integrals of motion of the model, thus establishing its integrability. The Dunkl operators are shown to possess a common flag of invariant finite-dimensional linear spaces of smooth scalar functions. This implies that the Hamiltonian of the model preserves a corresponding flag of smooth spin functions. The discrete spectrum of the restriction of the Hamiltonian to this spin flag is explicitly computed by triangularization. The integrability of the hyperbolic Sutherland spin chain of B_N type associated with the dynamical model is proved using Polychronakos's "freezing trick".

11.502342

11.254588

14.164195

10.705775

11.187163

12.656436

10.935241

11.395127

10.758366

14.88618

10.253597

10.706176

11.832579

11.150183

10.966475

11.249249

10.730645

11.048424

11.09384

11.556755

9.893944

hep-th/0703020

Suresh Govindarajan

Kallingalthodi Madhu and Suresh Govindarajan

Chiral primaries in the Leigh-Strassler deformed N=4 SYM -- a perturbative study

41 pages, 6 figures; (v2) references added, minor typos removed; (v3) more references added, incorrect statement and typos removed

JHEP 0705:038,2007

10.1088/1126-6708/2007/05/038

IITM/PH/TH/2006/17

hep-th

null

We look for chiral primaries in the general Leigh-Strassler deformed N=4 super Yang-Mills theory by systematically computing the planar one-loop anomalous dimension for single trace operators up to dimension six. The operators are organised into representations of the trihedral group, \Delta(27), which is a symmetry of the Lagrangian. We find an interesting relationship between the U(1)_R-charge of chiral primaries and the representation of \Delta(27) to which the operator belongs. Up to scaling dimension \Delta_0=6 (and conjecturally to all dimensions) the following holds: The planar one-loop anomalous dimension vanishes only for operators that are in the singlet or three dimensional representations of \Delta(27). For other operators, the vanishing of the one-loop anomalous dimension occurs only in a sub-locus in the space of couplings.

[ { "created": "Fri, 2 Mar 2007 11:51:45 GMT", "version": "v1" }, { "created": "Tue, 13 Mar 2007 06:36:29 GMT", "version": "v2" }, { "created": "Tue, 8 May 2007 09:19:14 GMT", "version": "v3" } ]

2010-02-03

[ [ "Madhu", "Kallingalthodi", "" ], [ "Govindarajan", "Suresh", "" ] ]

We look for chiral primaries in the general Leigh-Strassler deformed N=4 super Yang-Mills theory by systematically computing the planar one-loop anomalous dimension for single trace operators up to dimension six. The operators are organised into representations of the trihedral group, \Delta(27), which is a symmetry of the Lagrangian. We find an interesting relationship between the U(1)_R-charge of chiral primaries and the representation of \Delta(27) to which the operator belongs. Up to scaling dimension \Delta_0=6 (and conjecturally to all dimensions) the following holds: The planar one-loop anomalous dimension vanishes only for operators that are in the singlet or three dimensional representations of \Delta(27). For other operators, the vanishing of the one-loop anomalous dimension occurs only in a sub-locus in the space of couplings.

6.266992

5.752209

6.532535

5.45592

5.987928

5.630878

6.071158

6.0703

6.016436

7.202065

5.52541

5.424374

5.932888

5.721664

5.63971

5.668904

5.701989

5.746501

5.59721

5.832551

5.518579

hep-th/9304145

Takayuki Hori 76-8211x600

Takayuki Hori

A Bilocal Field Theory in Four Dimensions

13 pages, TEP-9R, LaTeX

Phys.Rev.D48:444-447,1993

10.1103/PhysRevD.48.R444

null

hep-th

null

A bilocal field theory having M\"{o}bius gauge invariance is proposed. In four dimensions there exists a zero momentum state of the first quantized model, which belongs to a non-trivial BRS cohomology class. A field theory lagrangian having a gauge invariance only in four dimensions is constructed.

[ { "created": "Wed, 28 Apr 1993 08:06:32 GMT", "version": "v1" } ]

2009-12-30

[ [ "Hori", "Takayuki", "" ] ]

A bilocal field theory having M\"{o}bius gauge invariance is proposed. In four dimensions there exists a zero momentum state of the first quantized model, which belongs to a non-trivial BRS cohomology class. A field theory lagrangian having a gauge invariance only in four dimensions is constructed.

15.431534

12.054049

13.889095

12.358157

11.820641

12.856234

13.639284

12.461363

12.602335

15.256154

13.641824

12.034901

13.104721

12.085949

12.22359

12.701873

12.241961

11.720417

12.245391

12.341845

12.272816

hep-th/9710231

Tom Banks

Tom Banks (Rutgers U.)

Matrix Theory

72 pages, harvmac big, references added, typos corrected

Nucl.Phys.Proc.Suppl. 67 (1998) 180-224

10.1016/S0920-5632(98)00130-3

RU-97-76

hep-th

null

This is an expanded version of talks given by the author at the Trieste Spring School on Supergravity and Superstrings in April of 1997 and at the accompanying workshop. The manuscript is intended to be a mini-review of Matrix Theory. The motivations and some of the evidence for the theory are presented, as well as a clear statement of the current puzzles about compactification to low dimensions.

[ { "created": "Fri, 31 Oct 1997 00:40:17 GMT", "version": "v1" }, { "created": "Wed, 24 Dec 1997 15:38:17 GMT", "version": "v2" } ]

2009-10-30

[ [ "Banks", "Tom", "", "Rutgers U." ] ]

This is an expanded version of talks given by the author at the Trieste Spring School on Supergravity and Superstrings in April of 1997 and at the accompanying workshop. The manuscript is intended to be a mini-review of Matrix Theory. The motivations and some of the evidence for the theory are presented, as well as a clear statement of the current puzzles about compactification to low dimensions.

11.462064

9.210247

10.13621

9.351944

9.50682

9.508558

9.355516

8.825725

8.54508

10.518705

8.444199

8.6254

9.613317

8.945459

9.107311

8.765416

8.763802

8.599387

9.33989

10.163184

9.184751

hep-th/0005232

Thomas Thiemann

T. Thiemann

Quantum Spin Dynamics (QSD) : VII. Symplectic Structures and Continuum Lattice Formulations of Gauge Field Theories

41 pages, LATEX

Class.Quant.Grav. 18 (2001) 3293-3338

10.1088/0264-9381/18/17/301

AEI-2000-026

hep-th gr-qc hep-lat

null

Interesting non-linear functions on the phase spaces of classical field theories can never be quantized immediately because the basic fields of the theory become operator valued distributions. Therefore, one is usually forced to find a classical substitute for such a function depending on a regulator which is expressed in terms of smeared quantities and which can be quantized in a well-defined way. Namely, the smeared functions define a new symplectic manifold of their own which is easy to quantize. Finally one must remove the regulator and establish that the final operator, if it exists, has the correct classical limit. In this paper we investigate these steps for diffeomorphism invariant quantum field theories of connections. We introduce a generalized projective family of symplectic manifolds, coordinatized by the smeared fields, which is labelled by a pair consisting of a graph and another graph dual to it. We show that there exists a generalized projective sequence of symplectic manifolds whose limit agrees with the symplectic manifold that one started from. This family of symplectic manifolds is easy to quantize and we illustrate the programme outlined above by applying it to the Gauss constraint. The framework developed here is the classical cornerstone on which the semi-classical analysis developed in a new series of papers called ``Gauge Theory Coherent States'' is based.

[ { "created": "Thu, 25 May 2000 15:16:20 GMT", "version": "v1" } ]

2009-10-31

[ [ "Thiemann", "T.", "" ] ]

Interesting non-linear functions on the phase spaces of classical field theories can never be quantized immediately because the basic fields of the theory become operator valued distributions. Therefore, one is usually forced to find a classical substitute for such a function depending on a regulator which is expressed in terms of smeared quantities and which can be quantized in a well-defined way. Namely, the smeared functions define a new symplectic manifold of their own which is easy to quantize. Finally one must remove the regulator and establish that the final operator, if it exists, has the correct classical limit. In this paper we investigate these steps for diffeomorphism invariant quantum field theories of connections. We introduce a generalized projective family of symplectic manifolds, coordinatized by the smeared fields, which is labelled by a pair consisting of a graph and another graph dual to it. We show that there exists a generalized projective sequence of symplectic manifolds whose limit agrees with the symplectic manifold that one started from. This family of symplectic manifolds is easy to quantize and we illustrate the programme outlined above by applying it to the Gauss constraint. The framework developed here is the classical cornerstone on which the semi-classical analysis developed in a new series of papers called ``Gauge Theory Coherent States'' is based.

10.349372

11.615399

10.140779

9.79559

10.597053

11.114789

11.066522

9.931849

10.629008

11.270692

10.34971

10.215714

9.705506

9.982351

10.307959

10.056553

10.40856

9.635193

10.205383

10.210032

10.030328

hep-th/0501181

Thomas Schucker

Krajewski diagrams and spin lifts

19 pages LaTeX, 1 figure, will not be submitted to journal, v2: extension of diagram 1 and suppression of electro-weak model

null

CPT-2005/P.003

hep-th

null

A classification of irreducible, dynamically non-degenerate, almost commutative spectral triples is refined. It is extended to include centrally extended spin lifts. Simultaneously it is reduced by imposing three constraints: (i) the condition of vanishing Yang-Mills and mixed gravitational anomalies, (ii) the condition that the fermion representation be complex under the little group, while (iii) massless fermions are to remain neutral under the little group. These constraints single out the standard model with one generation of leptons and quarks and with an arbitrary number of colours.

[ { "created": "Fri, 21 Jan 2005 23:29:13 GMT", "version": "v1" }, { "created": "Tue, 22 Mar 2005 09:55:36 GMT", "version": "v2" } ]

2007-05-23

[ [ "Schucker", "Thomas", "" ] ]

A classification of irreducible, dynamically non-degenerate, almost commutative spectral triples is refined. It is extended to include centrally extended spin lifts. Simultaneously it is reduced by imposing three constraints: (i) the condition of vanishing Yang-Mills and mixed gravitational anomalies, (ii) the condition that the fermion representation be complex under the little group, while (iii) massless fermions are to remain neutral under the little group. These constraints single out the standard model with one generation of leptons and quarks and with an arbitrary number of colours.

16.342493

15.631965

15.561192

13.069042

13.397827

13.006448

15.92363

15.534046

13.310503

18.126787

14.948423

13.325325

14.820849

14.235038

13.588461

13.089265

13.28846

13.993568

13.735353

14.848473

13.370461

1212.6753

Denis Dalmazi

D. Dalmazi and R.C. Santos

A note on linearized "New Massive Gravity" in arbitrary dimensions

15 pages, no figures, few typos fixed, one more reference

null

10.1103/PhysRevD.87.085021

null

hep-th

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

By means of a triple master action we deduce here a linearized version of the "New Massive Gravity" (NMG) in arbitrary dimensions. The theory contains a 4th-order and a 2nd-order term in derivatives. The 4th-order term is invariant under a generalized Weyl symmetry. The action is formulated in terms of a traceless $\eta^{\mu\nu}\Omega_{\mu\nu\rho}=0$ mixed symmetry tensor $\Omega_{\mu\nu\rho}=-\Omega_{\mu\rho\nu}$ and corresponds to the massive Fierz-Pauli action with the replacement $e_{\mu\nu}=\p^{\rho}\Omega_{\mu\nu\rho}$. The linearized 3D and 4D NMG theories are recovered via the invertible maps $\Omega_{\mu\nu\rho} = \epsilon_{\nu\rho}^{\quad\beta}h_{\beta\mu} $ and $\Omega_{\mu\nu\rho} = \epsilon_{\nu\rho}^{\quad \gamma\delta}T_{[\gamma\delta]\mu} $ respectively. The properties $h_{\mu\nu}=h_{\nu\mu}$ and $T_{[[\gamma\delta]\mu]}=0$ follow from the traceless restriction. The equations of motion of the linearized NMG theory can be written as zero "curvature" conditions $\p_{\nu}T_{\rho\mu} - \p_{\rho}T_{\nu\mu}=0$ in arbitrary dimensions.

[ { "created": "Sun, 30 Dec 2012 17:34:55 GMT", "version": "v1" }, { "created": "Sat, 5 Jan 2013 03:04:37 GMT", "version": "v2" } ]

2013-04-17

[ [ "Dalmazi", "D.", "" ], [ "Santos", "R. C.", "" ] ]

By means of a triple master action we deduce here a linearized version of the "New Massive Gravity" (NMG) in arbitrary dimensions. The theory contains a 4th-order and a 2nd-order term in derivatives. The 4th-order term is invariant under a generalized Weyl symmetry. The action is formulated in terms of a traceless $\eta^{\mu\nu}\Omega_{\mu\nu\rho}=0$ mixed symmetry tensor $\Omega_{\mu\nu\rho}=-\Omega_{\mu\rho\nu}$ and corresponds to the massive Fierz-Pauli action with the replacement $e_{\mu\nu}=\p^{\rho}\Omega_{\mu\nu\rho}$. The linearized 3D and 4D NMG theories are recovered via the invertible maps $\Omega_{\mu\nu\rho} = \epsilon_{\nu\rho}^{\quad\beta}h_{\beta\mu} $ and $\Omega_{\mu\nu\rho} = \epsilon_{\nu\rho}^{\quad \gamma\delta}T_{[\gamma\delta]\mu} $ respectively. The properties $h_{\mu\nu}=h_{\nu\mu}$ and $T_{[[\gamma\delta]\mu]}=0$ follow from the traceless restriction. The equations of motion of the linearized NMG theory can be written as zero "curvature" conditions $\p_{\nu}T_{\rho\mu} - \p_{\rho}T_{\nu\mu}=0$ in arbitrary dimensions.

4.715058

4.866317

4.713958

4.48212

5.008232

4.70385

4.68667

4.443613

4.299715

5.206941

4.350359

4.314687

4.614958

4.327491

4.334169

4.271965

4.288129

4.212291

4.297742

4.579908

4.345244

hep-th/9111015

Peter E. Haagensen

Differential Renormalization of the Wess-Zumino Model

10 pages

Mod.Phys.Lett. A7 (1992) 893-902

10.1142/S0217732392003530

null

hep-th

null

We apply the recently developed method of differential renormalization to the Wess-Zumino model. From the explicit calculation of a finite, renormalized effective action, the $\beta$-function is computed to three loops and is found to agree with previous existing results. As a further, nontrivial check of the method, the Callan-Symanzik equations are also verified to that loop order. Finally, we argue that differential renormalization presents advantages over other superspace renormalization methods, in that it avoids both the ambiguities inherent to supersymmetric regularization by dimensional reduction (SRDR), and the complications of virtually all other supersymmetric regulators.

[ { "created": "Thu, 7 Nov 1991 12:06:41 GMT", "version": "v1" } ]

2009-10-22

[ [ "Haagensen", "Peter E.", "" ] ]

We apply the recently developed method of differential renormalization to the Wess-Zumino model. From the explicit calculation of a finite, renormalized effective action, the $\beta$-function is computed to three loops and is found to agree with previous existing results. As a further, nontrivial check of the method, the Callan-Symanzik equations are also verified to that loop order. Finally, we argue that differential renormalization presents advantages over other superspace renormalization methods, in that it avoids both the ambiguities inherent to supersymmetric regularization by dimensional reduction (SRDR), and the complications of virtually all other supersymmetric regulators.

8.161465

7.44992

8.208097

7.400938

7.944314

7.577228

7.295261

7.031979

6.811174

8.249812

7.187052

7.518093

7.820162

7.72562

7.719931

7.622368

7.623918

7.715932

7.40675

7.902997

7.540768

1403.2703

Dimitrios Giataganas

Dimitrios Giataganas, Konstadinos Sfetsos

Non-integrability in non-relativistic theories

1+20 pages, v2:minor corrections, references added

null

10.1007/JHEP06(2014)018

null

hep-th cond-mat.str-el nlin.CD

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

Generic non-relativistic theories giving rise to non-integrable string solutions are classified. Our analysis boils down to a simple algebraic condition for the scaling parameters of the metric. Particular cases are the Lifshitz and the anisotropic Lifshitz spacetimes, for which we find that for trivial dilaton dependence the only integrable physical theory is that for z=1. For the hyperscaling violation theories we conclude that the vast majority of theories are non-integrable, while only for a small class of physical theories, where the Fermi surfaces belong to, integrability is not excluded. Schrodinger theories are also analyzed and a necessary condition for non-integrability is found. Our analysis is also applied to cases where the exponential of the dilaton is a monomial of the holographic coordinate.

[ { "created": "Tue, 11 Mar 2014 19:29:27 GMT", "version": "v1" }, { "created": "Sun, 23 Mar 2014 12:27:50 GMT", "version": "v2" } ]

2015-06-19

[ [ "Giataganas", "Dimitrios", "" ], [ "Sfetsos", "Konstadinos", "" ] ]

Generic non-relativistic theories giving rise to non-integrable string solutions are classified. Our analysis boils down to a simple algebraic condition for the scaling parameters of the metric. Particular cases are the Lifshitz and the anisotropic Lifshitz spacetimes, for which we find that for trivial dilaton dependence the only integrable physical theory is that for z=1. For the hyperscaling violation theories we conclude that the vast majority of theories are non-integrable, while only for a small class of physical theories, where the Fermi surfaces belong to, integrability is not excluded. Schrodinger theories are also analyzed and a necessary condition for non-integrability is found. Our analysis is also applied to cases where the exponential of the dilaton is a monomial of the holographic coordinate.

12.54183

12.072831

13.575953

11.332182

12.320938

11.481476

11.405402

10.99729

10.745766

12.144159

11.243201

10.9918

12.226843

11.232631

11.041488

10.948485

10.808821

11.078654

11.14184

11.993756

11.043454

1603.06302

Xu-Dong Wang

Wess-Zumino Model on Bosonic-Fermionic Noncommutative Superspace

29 pages

null

USTC-ICTS-16-04

hep-th

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

In our previous paper we construct a renormalizable Wess-Zumino action on BFNC superspace at the second order approximation of noncommutative parameters. The action contains about 200 terms which are necessary for renormalization. By removing chiral covariant derivatives and chiral coordinates we found that the BFNC Wess-Zumino action can be transformed to a simpler form which have manifest 1/2 supersymmetry. Based on this discovery, we can extend the BFNC Wess-Zumino action to the all order of noncommutative parameters. At first we introduce global symmetries, then obtain divergent operators in the effective action by using dimensional analysis, the next step is to construct all possible BFNC parameters, at the end we combine the BFNC parameters with the divergent operators. We present the explicit action up to the fourth order of noncommutative parameters. Because the action contain all possible divergent operators, it is renormalizable to all order in perturbative theory.

[ { "created": "Mon, 21 Mar 2016 01:21:43 GMT", "version": "v1" } ]

2016-03-22

[ [ "Wang", "Xu-Dong", "" ] ]

In our previous paper we construct a renormalizable Wess-Zumino action on BFNC superspace at the second order approximation of noncommutative parameters. The action contains about 200 terms which are necessary for renormalization. By removing chiral covariant derivatives and chiral coordinates we found that the BFNC Wess-Zumino action can be transformed to a simpler form which have manifest 1/2 supersymmetry. Based on this discovery, we can extend the BFNC Wess-Zumino action to the all order of noncommutative parameters. At first we introduce global symmetries, then obtain divergent operators in the effective action by using dimensional analysis, the next step is to construct all possible BFNC parameters, at the end we combine the BFNC parameters with the divergent operators. We present the explicit action up to the fourth order of noncommutative parameters. Because the action contain all possible divergent operators, it is renormalizable to all order in perturbative theory.

8.920183

8.978292

9.076593

8.339239

9.080022

8.782857

8.382627

8.600977

8.452445

9.3956

8.71841

8.46422

8.823549

8.406993

8.487277

8.573944

8.631332

8.3365

8.528234

8.778429

8.417344

1201.6609

V. Parameswaran Nair

Abhishek Agarwal, V.P. Nair

Supersymmetry and Mass Gap in 2+1 Dimensions: A Gauge Invariant Hamiltonian Analysis

31 pages, References added, typos corrected

null

10.1103/PhysRevD.85.085011

CCNY-HEP-12/2

hep-th math-ph math.MP

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

A Hamiltonian formulation of Yang-Mills-Chern-Simons theories with $0\leq N\leq 4$ supersymmetry in terms of gauge-invariant variables is presented, generalizing earlier work on nonsupersymmetric gauge theories. Special attention is paid to the volume measure of integration (over the gauge orbit space of the fields) which occurs in the inner product for the wave functions and arguments relating it to the renormalization of the Chern-Simons level number and to mass-gaps in the spectrum of the Hamiltonians are presented. The expression for the integration measure is consistent with the absence of mass gap for theories with extended supersymmetry (in the absence of additional matter hypermultiplets and/or Chern-Simons couplings), while for the minimally supersymmetric case, there is a mass-gap, the scale of which is set by a renormalized level number, in agreement with indications from existing literature. The realization of the supersymmetry algebra and the Hamiltonian in terms of the gauge invariant variables is also presented.

[ { "created": "Tue, 31 Jan 2012 16:45:06 GMT", "version": "v1" }, { "created": "Thu, 16 Feb 2012 03:09:16 GMT", "version": "v2" } ]

2013-05-30

[ [ "Agarwal", "Abhishek", "" ], [ "Nair", "V. P.", "" ] ]

A Hamiltonian formulation of Yang-Mills-Chern-Simons theories with $0\leq N\leq 4$ supersymmetry in terms of gauge-invariant variables is presented, generalizing earlier work on nonsupersymmetric gauge theories. Special attention is paid to the volume measure of integration (over the gauge orbit space of the fields) which occurs in the inner product for the wave functions and arguments relating it to the renormalization of the Chern-Simons level number and to mass-gaps in the spectrum of the Hamiltonians are presented. The expression for the integration measure is consistent with the absence of mass gap for theories with extended supersymmetry (in the absence of additional matter hypermultiplets and/or Chern-Simons couplings), while for the minimally supersymmetric case, there is a mass-gap, the scale of which is set by a renormalized level number, in agreement with indications from existing literature. The realization of the supersymmetry algebra and the Hamiltonian in terms of the gauge invariant variables is also presented.

8.475629

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8.174762

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7.832462

7.603967

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7.748594

7.678634

7.682767

7.683702

7.888595

7.512524