LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1401.1523

Jonathan Oppenheim

Jonathan Oppenheim, William G. Unruh

Firewalls and flat mirrors: An alternative to the AMPS experiment which evades the Harlow-Hayden obstacle

null

10.1007/JHEP03(2014)120

null

hep-th quant-ph

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

If quantum gravity does not lead to a breakdown of predictability, then Almheiri, Marolf, Polchinski and Sully (AMPS) have argued that an observer falling into a black hole can perform an experiment which verifies a violation of entanglement monogamy - that late time Hawking radiation is maximally entangled with early time Hawking radiation and also with infalling radiation - something impossible in quantum field theory. However, as pointed out by Hayden and Harlow, this experiment is infeasible, as the time required to perform the experiment is almost certainly longer than the lifetime of the black hole. Here we propose an alternative firewall experiment which could actually be performed within the black hole's lifetime. The alternative experiment involves forming an entangled black hole in which the unscrambling of information is precomputed on a quantum memory prior to the creation of the black hole and without acting on the matter which forms the black hole or emerges from it. This would allow an observer near a black hole to signal faster than light. As another application of our precomputing strategy, we show how one can produce entangled black holes which acts like ``flat mirrors'', in the sense that information comes out almost instantly (as in the Hayden-Preskill scenario), but also emerge unscrambled, so that it can actually be observed instantly as well. Finally, we prove that a black hole in thermal equilibrium with its own radiation, is uncorrelated with this radiation.

[ { "created": "Tue, 7 Jan 2014 21:56:00 GMT", "version": "v1" } ]

2015-06-18

[ [ "Oppenheim", "Jonathan", "" ], [ "Unruh", "William G.", "" ] ]

If quantum gravity does not lead to a breakdown of predictability, then Almheiri, Marolf, Polchinski and Sully (AMPS) have argued that an observer falling into a black hole can perform an experiment which verifies a violation of entanglement monogamy - that late time Hawking radiation is maximally entangled with early time Hawking radiation and also with infalling radiation - something impossible in quantum field theory. However, as pointed out by Hayden and Harlow, this experiment is infeasible, as the time required to perform the experiment is almost certainly longer than the lifetime of the black hole. Here we propose an alternative firewall experiment which could actually be performed within the black hole's lifetime. The alternative experiment involves forming an entangled black hole in which the unscrambling of information is precomputed on a quantum memory prior to the creation of the black hole and without acting on the matter which forms the black hole or emerges from it. This would allow an observer near a black hole to signal faster than light. As another application of our precomputing strategy, we show how one can produce entangled black holes which acts like ``flat mirrors'', in the sense that information comes out almost instantly (as in the Hayden-Preskill scenario), but also emerge unscrambled, so that it can actually be observed instantly as well. Finally, we prove that a black hole in thermal equilibrium with its own radiation, is uncorrelated with this radiation.

9.270247

11.558345

10.069376

10.236733

10.754024

10.938007

11.509931

10.876016

9.456636

11.646544

9.243718

9.350883

9.640887

9.090714

9.514067

9.485882

9.059168

9.127484

9.283832

9.488935

9.043091

hep-th/0101104

J. F. Morales

Massimo Bianchi and Jose F. Morales

Anomalies, RG-flows and Open/Closed String Duality

6+1 pages, Latex, Talk delivered by J.F. Morales at the Ninth Marcel Grossman Meeting, Rome July 2-8, 2000

null

10.1142/9789812777386_0179

ROM2F-01-13, DAMTP-2001-33

hep-th

null

We discuss the interplay between IR and UV divergences in vacuum configurations with open and unoriented strings. We establish a general one-to-one correspondence between anomalies and R-R tadpoles associated to sectors with non-trivial Witten index. The result does not require any supersymmetry to be preserved by the configuration. Under very mild conditions of supersymmetry, a similar correspondence is found between NS-NS tadpoles and RG-flows in gauge theories on D-branes and O-planes. We briefly comment on the AdS/CFT counterpart of the results.

[ { "created": "Tue, 16 Jan 2001 14:41:05 GMT", "version": "v1" } ]

2017-08-23

[ [ "Bianchi", "Massimo", "" ], [ "Morales", "Jose F.", "" ] ]

We discuss the interplay between IR and UV divergences in vacuum configurations with open and unoriented strings. We establish a general one-to-one correspondence between anomalies and R-R tadpoles associated to sectors with non-trivial Witten index. The result does not require any supersymmetry to be preserved by the configuration. Under very mild conditions of supersymmetry, a similar correspondence is found between NS-NS tadpoles and RG-flows in gauge theories on D-branes and O-planes. We briefly comment on the AdS/CFT counterpart of the results.

10.451101

9.621647

10.671464

9.216582

9.819051

10.868131

10.40171

10.333332

9.253981

11.616854

9.477946

9.941436

10.5875

9.684596

9.649815

9.632277

9.840933

9.249684

9.813904

10.811367

9.467778

hep-th/9603066

null

M.Adler, A.Morozov, T.Shiota, P.van Moerbeke

New matrix model solutions to the Kac-Schwarz problem

19 pages, latex, no figures, contribution to the proceedings of the 29th International Symposium Ahrenshoop on the Theory of Elementary Particles, Buckow, Germany

Nucl.Phys.Proc.Suppl. 49 (1996) 201-212

10.1016/0920-5632(96)00336-2

preprint ITEP-M1/94

hep-th

null

We examine the Kac-Schwarz problem of specification of point in Grassmannian in the restricted case of gap-one first-order differential Kac-Schwarz operators. While the pair of constraints satisfying $[{\cal K}_1,W] = 1$ always leads to Kontsevich type models, in the case of $[{\cal K}_1,W] = W$ the corresponding KP $\tau$-functions are represented as more sophisticated matrix integrals.

[ { "created": "Mon, 11 Mar 1996 14:59:38 GMT", "version": "v1" } ]

2009-10-30

[ [ "Adler", "M.", "" ], [ "Morozov", "A.", "" ], [ "Shiota", "T.", "" ], [ "van Moerbeke", "P.", "" ] ]

We examine the Kac-Schwarz problem of specification of point in Grassmannian in the restricted case of gap-one first-order differential Kac-Schwarz operators. While the pair of constraints satisfying $[{\cal K}_1,W] = 1$ always leads to Kontsevich type models, in the case of $[{\cal K}_1,W] = W$ the corresponding KP $\tau$-functions are represented as more sophisticated matrix integrals.

21.535351

21.13414

21.361891

18.778736

20.128988

20.900133

20.049191

18.17293

18.276873

25.297251

18.809072

19.042555

23.164022

18.862762

18.367893

17.764622

18.74193

18.050415

18.518286

22.453043

17.835835

1301.2452

Betti Hartmann

Yves Brihaye, Betti Hartmann and Sardor Tojiev

Stability of charged solitons and formation of boson stars in 5-dimensional Anti-de Sitter space-time

12 pages containing 6 figures; v2: matches version published in Class. Quantum Grav

null

10.1088/0264-9381/30/11/115009

null

hep-th gr-qc

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

We study the stability of charged solitons in 5-dimensional Anti-de Sitter (AdS) space-time. We show that for appropriate choices of the parameters of the model these solutions become unstable to form scalar hair. We find that the existence of charged solitons with scalar hair depends crucially on the charge and the mass of the scalar field. We investigate the dependence of the spectrum of solutions on the mass of the scalar field in detail. For positive mass of the scalar field the hairy solitons can be interpreted as charged boson stars. We find that for sufficiently small value of the charge of the scalar field a "forbidden band" of the boson star mass and charge exists, while all our results indicate that - contrary to the asymptotically flat space-time case - boson stars in asymptotically AdS can have arbitrarily large charge and mass.

[ { "created": "Fri, 11 Jan 2013 11:01:50 GMT", "version": "v1" }, { "created": "Mon, 16 Sep 2013 09:59:51 GMT", "version": "v2" } ]

2015-06-12

[ [ "Brihaye", "Yves", "" ], [ "Hartmann", "Betti", "" ], [ "Tojiev", "Sardor", "" ] ]

We study the stability of charged solitons in 5-dimensional Anti-de Sitter (AdS) space-time. We show that for appropriate choices of the parameters of the model these solutions become unstable to form scalar hair. We find that the existence of charged solitons with scalar hair depends crucially on the charge and the mass of the scalar field. We investigate the dependence of the spectrum of solutions on the mass of the scalar field in detail. For positive mass of the scalar field the hairy solitons can be interpreted as charged boson stars. We find that for sufficiently small value of the charge of the scalar field a "forbidden band" of the boson star mass and charge exists, while all our results indicate that - contrary to the asymptotically flat space-time case - boson stars in asymptotically AdS can have arbitrarily large charge and mass.

6.116098

5.570546

5.601271

5.45173

5.751925

5.722721

5.972509

5.273524

5.653691

5.845735

5.763858

5.870358

5.689626

5.761638

5.939767

6.047017

5.829307

5.75474

5.755037

5.705596

5.788041

1009.3445

Susha Parameswaran

Ruth Gregory, Susha L. Parameswaran, Gianmassimo Tasinato and Ivonne Zavala

Lifshitz solutions in supergravity and string theory

18 pages, v2: 5d solution corrected, typos corrected, references added

JHEP 1012:047,2010

10.1007/JHEP12(2010)047

DCPT-10/45, UUITP-32/10

hep-th

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

We derive Lifshitz configurations in string theory for general dynamical exponents z \geq 1. We begin by obtaining simple Li x Omega solutions to supergravities in diverse dimensions, with Omega a compact constant curvature manifold. Then we uplift the solutions to ten dimensions, providing configurations that correspond to warped compactifications in Type II string theory.

[ { "created": "Fri, 17 Sep 2010 15:08:13 GMT", "version": "v1" }, { "created": "Thu, 25 Nov 2010 10:46:06 GMT", "version": "v2" } ]

2010-12-15

[ [ "Gregory", "Ruth", "" ], [ "Parameswaran", "Susha L.", "" ], [ "Tasinato", "Gianmassimo", "" ], [ "Zavala", "Ivonne", "" ] ]

We derive Lifshitz configurations in string theory for general dynamical exponents z \geq 1. We begin by obtaining simple Li x Omega solutions to supergravities in diverse dimensions, with Omega a compact constant curvature manifold. Then we uplift the solutions to ten dimensions, providing configurations that correspond to warped compactifications in Type II string theory.

22.872948

17.477823

23.79608

17.359217

18.086567

19.256456

18.113232

19.400709

18.363678

24.473177

16.952454

20.765461

22.023769

20.676449

19.997217

21.091093

19.770298

20.200562

19.997101

23.579069

19.063133

2312.12829

Ankur Dey

Saikat Biswas, Ankur Dey, Boudhayan Paul, Gautam Sengupta

Covariant odd entanglement entropy in AdS$_3$/CFT$_2$

29 pages, no figures

null

hep-th

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

We advance a covariant construction for the holographic odd entanglement entropy (OEE) of time dependent bipartite states in CFT$_2$s dual to bulk AdS$_3$ geometries. In this context we obtain the OEE for bipartite states in zero, finite temperature and finite size CFT$_2$s dual to bulk pure AdS$_3$ and BTZ black hole geometries through appropriate replica techniques. The replica technique results for the time dependent OEE are reproduced modulo constants in the large central charge limit through holographic computations involving the bulk entanglement wedge cross section (EWCS). Subsequently we obtain the time dependent OEE for bipartite states in zero and finite temperature CFT$_2$s with a conserved charge dual to bulk extremal and non-extremal rotating BTZ black holes through both field theory and covariant holographic computations which again match up to constants in the large central charge limit.

[ { "created": "Wed, 20 Dec 2023 08:17:14 GMT", "version": "v1" }, { "created": "Mon, 10 Jun 2024 04:29:46 GMT", "version": "v2" } ]

2024-06-11

[ [ "Biswas", "Saikat", "" ], [ "Dey", "Ankur", "" ], [ "Paul", "Boudhayan", "" ], [ "Sengupta", "Gautam", "" ] ]

We advance a covariant construction for the holographic odd entanglement entropy (OEE) of time dependent bipartite states in CFT$_2$s dual to bulk AdS$_3$ geometries. In this context we obtain the OEE for bipartite states in zero, finite temperature and finite size CFT$_2$s dual to bulk pure AdS$_3$ and BTZ black hole geometries through appropriate replica techniques. The replica technique results for the time dependent OEE are reproduced modulo constants in the large central charge limit through holographic computations involving the bulk entanglement wedge cross section (EWCS). Subsequently we obtain the time dependent OEE for bipartite states in zero and finite temperature CFT$_2$s with a conserved charge dual to bulk extremal and non-extremal rotating BTZ black holes through both field theory and covariant holographic computations which again match up to constants in the large central charge limit.

6.896935

5.323005

7.614742

5.70674

5.535905

5.058646

5.077932

5.512187

5.453671

7.744309

5.466053

5.975607

6.558846

6.131585

6.145545

5.979495

6.189952

6.390187

5.989483

6.453064

6.147786

hep-th/0611310

Saharian

E.R. Bezerra de Mello, V.B. Bezerra, A.A. Saharian

Electromagnetic Casimir densities induced by a conducting cylindrical shell in the cosmic string spacetime

14 pages, 2 figures, discussion and references added, accepted for publication in Phys. Lett. B

Phys.Lett.B645:245-254,2007

10.1016/j.physletb.2006.12.052

null

hep-th gr-qc quant-ph

null

We investigate the renormalized vacuum expectation values of the field square and the energy-momentum tensor for the electromagnetic field inside and outside of a conducting cylindrical shell in the cosmic string spacetime. By using the generalized Abel-Plana formula, the vacuum expectation values are presented in the form of the sum of boundary-free and boundary-induced parts. The asymptotic behavior of the vacuum expectation values of the field square, energy density and stresses are investigated in various limiting cases.

[ { "created": "Tue, 28 Nov 2006 17:32:20 GMT", "version": "v1" }, { "created": "Wed, 20 Dec 2006 20:01:15 GMT", "version": "v2" } ]

2008-11-26

[ [ "de Mello", "E. R. Bezerra", "" ], [ "Bezerra", "V. B.", "" ], [ "Saharian", "A. A.", "" ] ]

We investigate the renormalized vacuum expectation values of the field square and the energy-momentum tensor for the electromagnetic field inside and outside of a conducting cylindrical shell in the cosmic string spacetime. By using the generalized Abel-Plana formula, the vacuum expectation values are presented in the form of the sum of boundary-free and boundary-induced parts. The asymptotic behavior of the vacuum expectation values of the field square, energy density and stresses are investigated in various limiting cases.

5.476344

3.168767

5.901086

3.237761

2.930878

3.050507

3.375317

3.302939

3.278249

6.563816

3.181807

4.016227

5.431453

4.489568

4.231286

4.144822

4.193149

4.241407

4.623735

5.604797

4.224487

hep-th/0209067

Skenderis Kostas

Kostas Skenderis

Lecture Notes on Holographic Renormalization

43 pages; typos corrected, references added

Class.Quant.Grav.19:5849-5876,2002

10.1088/0264-9381/19/22/306

PUTP-2047

hep-th

null

We review the formalism of holographic renormalization. We start by discussing mathematical results on asymptotically anti-de Sitter spacetimes. We then outline the general method of holographic renormalization. The method is illustrated by working all details in a simple example: a massive scalar field on anti-de Sitter spacetime. The discussion includes the derivation of the on-shell renormalized action, of holographic Ward identities, anomalies and RG equations, and the computation of renormalized one-, two- and four-point functions. We then discuss the application of the method to holographic RG flows. We also show that the results of the near-boundary analysis of asymptotically AdS spacetimes can be analytically continued to apply to asymptotically de Sitter spacetimes. In particular, it is shown that the Brown-York stress energy tensor of de Sitter spacetime is equal, up to a dimension dependent sign, to the Brown-York stress energy tensor of an associated AdS spacetime.

[ { "created": "Mon, 9 Sep 2002 13:31:06 GMT", "version": "v1" }, { "created": "Fri, 11 Oct 2002 03:34:36 GMT", "version": "v2" } ]

2008-11-26

[ [ "Skenderis", "Kostas", "" ] ]

We review the formalism of holographic renormalization. We start by discussing mathematical results on asymptotically anti-de Sitter spacetimes. We then outline the general method of holographic renormalization. The method is illustrated by working all details in a simple example: a massive scalar field on anti-de Sitter spacetime. The discussion includes the derivation of the on-shell renormalized action, of holographic Ward identities, anomalies and RG equations, and the computation of renormalized one-, two- and four-point functions. We then discuss the application of the method to holographic RG flows. We also show that the results of the near-boundary analysis of asymptotically AdS spacetimes can be analytically continued to apply to asymptotically de Sitter spacetimes. In particular, it is shown that the Brown-York stress energy tensor of de Sitter spacetime is equal, up to a dimension dependent sign, to the Brown-York stress energy tensor of an associated AdS spacetime.

5.00746

5.465703

5.496435

5.056222

5.089148

5.233578

5.239343

4.893344

5.140874

5.287402

5.005107

4.974105

4.991176

4.830959

5.047728

5.087204

5.062425

4.784957

4.902081

5.058157

4.863925

hep-th/0105110

Shyamoli Chaudhuri

S. Chaudhuri

Finite Temperature Bosonic Closed Strings: Thermal Duality and the Kosterlitz Thouless Transition

22pgs. Note Added (Sep 2005), clarifying conclusions

Phys.Rev.D65:066008,2002

10.1103/PhysRevD.65.066008

null

hep-th

null

We elucidate the properties of a gas of free closed bosonic strings in thermal equilibrium. Our starting point is the intensive generating functional of connected one-loop closed vacuum string graphs given by the Polyakov path integral. Invariance of the path integral under modular transformations gives a thermal duality invariant expression for the free energy of free closed strings at finite temperature. The free bosonic string gas exhibits a self-dual Kosterlitz-Thouless phase transition. The thermodynamic potentials of the gas of free bosonic closed strings are shown to exhibit an infinite hierarchy of thermal self-duality relations. Note Added (Sep 2005).

[ { "created": "Fri, 11 May 2001 20:46:33 GMT", "version": "v1" }, { "created": "Sun, 13 May 2001 12:10:24 GMT", "version": "v2" }, { "created": "Wed, 16 May 2001 23:19:04 GMT", "version": "v3" }, { "created": "Thu, 24 May 2001 00:47:50 GMT", "version": "v4" }, { "created": "Wed, 29 Aug 2001 22:53:22 GMT", "version": "v5" }, { "created": "Mon, 22 Oct 2001 08:40:29 GMT", "version": "v6" }, { "created": "Fri, 25 Jan 2002 18:00:43 GMT", "version": "v7" }, { "created": "Wed, 21 Aug 2002 19:37:48 GMT", "version": "v8" }, { "created": "Mon, 12 Sep 2005 15:20:38 GMT", "version": "v9" } ]

2014-11-18

[ [ "Chaudhuri", "S.", "" ] ]

We elucidate the properties of a gas of free closed bosonic strings in thermal equilibrium. Our starting point is the intensive generating functional of connected one-loop closed vacuum string graphs given by the Polyakov path integral. Invariance of the path integral under modular transformations gives a thermal duality invariant expression for the free energy of free closed strings at finite temperature. The free bosonic string gas exhibits a self-dual Kosterlitz-Thouless phase transition. The thermodynamic potentials of the gas of free bosonic closed strings are shown to exhibit an infinite hierarchy of thermal self-duality relations. Note Added (Sep 2005).

10.065828

9.583864

10.909445

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9.909284

8.724257

9.066013

9.319325

9.046328

11.524385

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9.773595

10.242019

9.181033

9.369045

9.327715

9.326304

9.514822

9.165792

9.834642

9.571196

0710.5652

Christian Brouder

Christian Brouder (IMPMC)

The structure of Green functions in quantum field theory with a general state

13 pages, 6 figures

Recent Developments in Quantum Field Theory, Leipzig : Allemagne (2007)

10.1007/978-3-7643-8736-5_10

null

hep-th

null

In quantum field theory, the Green function is usually calculated as the expectation value of the time-ordered product of fields over the vacuum. In some cases, especially in degenerate systems, expectation values over general states are required. The corresponding Green functions are essentially more complex than in the vacuum, because they cannot be written in terms of standard Feynman diagrams. Here, a method is proposed to determine the structure of these Green functions and to derive nonperturbative equations for them. The main idea is to transform the cumulants describing correlations into interaction terms.

[ { "created": "Tue, 30 Oct 2007 14:04:46 GMT", "version": "v1" } ]

2010-09-15

[ [ "Brouder", "Christian", "", "IMPMC" ] ]

In quantum field theory, the Green function is usually calculated as the expectation value of the time-ordered product of fields over the vacuum. In some cases, especially in degenerate systems, expectation values over general states are required. The corresponding Green functions are essentially more complex than in the vacuum, because they cannot be written in terms of standard Feynman diagrams. Here, a method is proposed to determine the structure of these Green functions and to derive nonperturbative equations for them. The main idea is to transform the cumulants describing correlations into interaction terms.

8.106946

7.361961

7.574824

7.286515

7.616961

7.517271

7.236748

7.844637

7.890006

8.23282

7.327364

7.441383

7.528253

7.311199

7.528741

7.422185

7.305015

7.438602

7.508653

7.553428

7.23353

0712.2345

Yi Wang

Bin Chen, Yi Wang, Wei Xue

Inflationary NonGaussianity from Thermal Fluctuations

20 pages, 1 figure. v2, v3: references and acknowledgments updated

JCAP 0805:014,2008

10.1088/1475-7516/2008/05/014

CAS-KITPC/ITP-017

hep-th astro-ph gr-qc

null

We calculate the contribution of the fluctuations with the thermal origin to the inflationary nonGaussianity. We find that even a small component of radiation can lead to a large nonGaussianity. We show that this thermal nonGaussianity always has positive $f_{\rm NL}$. We illustrate our result in the chain inflation model and the very weakly dissipative warm inflation model. We show that $f_{NL}\sim {\cal O}(1)$ is general in such models. If we allow modified equation of state, or some decoupling effects, the large thermal nonGaussianity of order $f_{\rm NL}>5$ or even $f_{\rm NL}\sim 100$ can be produced. We also show that the power spectrum of chain inflation should have a thermal origin. In the Appendix A, we made a clarification on the different conventions used in the literature related to the calculation of $f_{\rm NL}$.

[ { "created": "Fri, 14 Dec 2007 13:13:37 GMT", "version": "v1" }, { "created": "Sat, 15 Dec 2007 02:10:09 GMT", "version": "v2" }, { "created": "Tue, 18 Dec 2007 12:27:15 GMT", "version": "v3" } ]

2009-12-15

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

We calculate the contribution of the fluctuations with the thermal origin to the inflationary nonGaussianity. We find that even a small component of radiation can lead to a large nonGaussianity. We show that this thermal nonGaussianity always has positive $f_{\rm NL}$. We illustrate our result in the chain inflation model and the very weakly dissipative warm inflation model. We show that $f_{NL}\sim {\cal O}(1)$ is general in such models. If we allow modified equation of state, or some decoupling effects, the large thermal nonGaussianity of order $f_{\rm NL}>5$ or even $f_{\rm NL}\sim 100$ can be produced. We also show that the power spectrum of chain inflation should have a thermal origin. In the Appendix A, we made a clarification on the different conventions used in the literature related to the calculation of $f_{\rm NL}$.

9.047603

9.559505

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8.813787

10.051028

9.549805

9.910297

9.392608

9.310742

8.882469

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8.791365

8.645195

9.077991

8.735518

9.004497

8.718054

8.792905

8.697311

8.751916

0707.3922

Loriano Bonora

L. Bonora, R. P. Malik

BRST, anti-BRST and gerbes

11 pages, typo corrected in eq.(3,8,24)

Phys.Lett.B655:75-79,2007

10.1016/j.physletb.2007.08.063

SISSA/49/2007/EP

hep-th

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

We discuss BRST and anti--BRST transformations for an Abelian antisymmetric gauge field in 4D and find that, in order for them to anticommute, we have to impose a condition on the auxiliary fields. This condition is similar to the Curci-Ferrari condition for the 4D non--Abelian 1-form gauge theories and represents a consistency requirement. We interpret it as a signal that our Abelian 2-form gauge field theory is based on gerbes. To support this interpretation we discuss, in particular, the case of the 1-gerbe for our present field theory and write the relevant equations and symmetry transformations for 2-gerbes.

[ { "created": "Thu, 26 Jul 2007 13:55:33 GMT", "version": "v1" }, { "created": "Wed, 29 Aug 2007 12:18:07 GMT", "version": "v2" }, { "created": "Tue, 1 Apr 2008 17:38:36 GMT", "version": "v3" }, { "created": "Mon, 23 Feb 2009 18:06:14 GMT", "version": "v4" } ]

2009-02-23

[ [ "Bonora", "L.", "" ], [ "Malik", "R. P.", "" ] ]

We discuss BRST and anti--BRST transformations for an Abelian antisymmetric gauge field in 4D and find that, in order for them to anticommute, we have to impose a condition on the auxiliary fields. This condition is similar to the Curci-Ferrari condition for the 4D non--Abelian 1-form gauge theories and represents a consistency requirement. We interpret it as a signal that our Abelian 2-form gauge field theory is based on gerbes. To support this interpretation we discuss, in particular, the case of the 1-gerbe for our present field theory and write the relevant equations and symmetry transformations for 2-gerbes.

9.747884

8.599941

10.336285

8.328366

8.608104

9.265766

9.505149

9.093879

8.748606

9.820518

8.570709

8.97066

9.501436

8.916061

8.806116

8.805983

8.985033

8.971812

9.177568

9.606834

8.750154

1204.6685

Christian Saemann

Derek Harland, Sam Palmer, Christian Saemann

Magnetic Domains

42 pages, minor improvements, published version

JHEP 1210:167, 2012

10.1007/JHEP10(2012)167

HWM-12-04; EMPG-12-08

hep-th math-ph math.MP

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

Recently a Nahm transform has been discovered for magnetic bags, which are conjectured to arise in the large n limit of magnetic monopoles with charge n. We interpret these ideas using string theory and present some partial proofs of this conjecture. We then extend the notion of bags and their Nahm transform to higher gauge theories and arbitrary domains. Bags in four dimensions conjecturally describe the large n limit of n self-dual strings. We show that the corresponding Basu-Harvey equation is the large n limit of an equation describing n M2-branes, and that it has a natural interpretation in loop space. We also formulate our Nahm equations using strong homotopy Lie algebras.

[ { "created": "Mon, 30 Apr 2012 16:18:04 GMT", "version": "v1" }, { "created": "Mon, 5 Nov 2012 11:20:58 GMT", "version": "v2" } ]

2012-11-06

[ [ "Harland", "Derek", "" ], [ "Palmer", "Sam", "" ], [ "Saemann", "Christian", "" ] ]

Recently a Nahm transform has been discovered for magnetic bags, which are conjectured to arise in the large n limit of magnetic monopoles with charge n. We interpret these ideas using string theory and present some partial proofs of this conjecture. We then extend the notion of bags and their Nahm transform to higher gauge theories and arbitrary domains. Bags in four dimensions conjecturally describe the large n limit of n self-dual strings. We show that the corresponding Basu-Harvey equation is the large n limit of an equation describing n M2-branes, and that it has a natural interpretation in loop space. We also formulate our Nahm equations using strong homotopy Lie algebras.

11.93333

12.04487

13.348464

11.832068

12.209938

11.352271

11.388009

11.354949

11.194506

15.534087

10.633401

11.530945

11.430925

11.333452

11.462365

11.538464

11.256397

11.57718

11.436474

11.887654

11.148199

2312.08456

Giacomo Cacciapaglia

Kazem Bitaghsir Fadafan, Giacomo Cacciapaglia

The Cosmological Constant, Dark Matter and the ElectroWeak Scale meet in the Swampland

4 pages, 2 figures

null

hep-th hep-ph

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

The Swampland program, which looks for low energy theories consistent with quantum gravity, has led to the introduction of a dark dimension stemming from the cosmological constant. We show that the same argument leads to the emergence of the electroweak scale, once the dark dimension is realised in a warped background. A warped extra dimension at the TeV scale is, therefore, postulated, where the long-standing problem of the hierarchy between the electroweak scale and Planck scale can be addressed. In the emergent holistic picture of gravity and gauge interactions, both Planck and the electroweak scales are emergent from a theory with two fundamental scales: $10^{-2}$ eV and $10^{10}$ GeV. Hence, a bridge is established between the two standard models of particle physics and cosmology.

[ { "created": "Wed, 13 Dec 2023 19:00:38 GMT", "version": "v1" } ]

2023-12-15

[ [ "Fadafan", "Kazem Bitaghsir", "" ], [ "Cacciapaglia", "Giacomo", "" ] ]

The Swampland program, which looks for low energy theories consistent with quantum gravity, has led to the introduction of a dark dimension stemming from the cosmological constant. We show that the same argument leads to the emergence of the electroweak scale, once the dark dimension is realised in a warped background. A warped extra dimension at the TeV scale is, therefore, postulated, where the long-standing problem of the hierarchy between the electroweak scale and Planck scale can be addressed. In the emergent holistic picture of gravity and gauge interactions, both Planck and the electroweak scales are emergent from a theory with two fundamental scales: $10^{-2}$ eV and $10^{10}$ GeV. Hence, a bridge is established between the two standard models of particle physics and cosmology.

8.742544

7.994141

7.754459

7.42774

7.757753

7.793884

8.044281

7.367579

7.290663

7.303496

7.522212

7.724548

7.840489

7.56012

7.820788

7.796616

7.528322

7.822864

7.797422

8.031432

7.752478

0902.3179

Chrysostomos Kalousios

Chrysostomos Kalousios, Marcus Spradlin, Anastasia Volovich

Dressed Giant Magnons on CP^3

13 pages, harvmac; v3: fixed misstatement of the dispersion relation(!), v3: typos fixed and a few clarifying remarks added

JHEP 0907:006,2009

10.1088/1126-6708/2009/07/006

null

hep-th

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

A new example of AdS/CFT duality relating IIA string theory on AdS_4 x CP^3 to N=6 superconformal Chern-Simons theory has recently been provided by ABJM. By now a number of papers have considered particular giant magnon classical string solutions in the CP^3 background, corresponding to excitations in the spin chain picture of the dual field theory. In this paper we apply the CP^3 = SU(4)/S(U(3) x U(1)) dressing method to the problem of constructing general classical string solutions describing various configurations of giant magnons. As a particular application we present a new giant magnon solution on CP^3. Interestingly the dressed solution carries only a single SO(6) charge, in contrast with the dyonic magnons found in previous applications of the dressing method.

[ { "created": "Wed, 18 Feb 2009 16:48:14 GMT", "version": "v1" }, { "created": "Tue, 24 Feb 2009 20:02:41 GMT", "version": "v2" }, { "created": "Mon, 15 Jun 2009 02:27:56 GMT", "version": "v3" } ]

2009-07-22

[ [ "Kalousios", "Chrysostomos", "" ], [ "Spradlin", "Marcus", "" ], [ "Volovich", "Anastasia", "" ] ]

A new example of AdS/CFT duality relating IIA string theory on AdS_4 x CP^3 to N=6 superconformal Chern-Simons theory has recently been provided by ABJM. By now a number of papers have considered particular giant magnon classical string solutions in the CP^3 background, corresponding to excitations in the spin chain picture of the dual field theory. In this paper we apply the CP^3 = SU(4)/S(U(3) x U(1)) dressing method to the problem of constructing general classical string solutions describing various configurations of giant magnons. As a particular application we present a new giant magnon solution on CP^3. Interestingly the dressed solution carries only a single SO(6) charge, in contrast with the dyonic magnons found in previous applications of the dressing method.

6.821514

6.414854

8.634111

6.410008

6.387276

6.721451

6.423131

6.17718

6.553736

9.193343

6.469013

6.049238

7.235429

6.29079

6.370724

6.384086

6.385391

6.71645

6.446575

6.684252

6.366036

hep-th/0208161

Jeong-Hyuck Park

Supersymmetric objects in the M-theory on a pp-wave

1+25 pages, No figure, LaTeX, JHEP style; A reference and a comment on D0 added

JHEP 0210 (2002) 032

10.1088/1126-6708/2002/10/032

KIAS-P02052

hep-th

null

We obtain, in a systematic way, all the classical BPS equations which correspond to the quantum BPS states in the M-theory on a fully supersymmetric pp-wave. The superalgebra of the M-theory matrix model shows that the BPS states always preserve pairs of supersymmetry, implying the possible fractions of the unbroken supersymmetry as 2/16, 4/16, 6/16,.... We study their classical counterparts, and find there are essentially one unique set of 2/16 BPS equations, three inequivalent types of 4/16 BPS equations, and three inequivalent types of 8/16 BPS equations only, in addition to the 16/16 static fuzzy sphere. We discuss various supersymmetric objects as solutions. In particular, when the fuzzy sphere rotates, the supersymmetry is further broken as 16/16 -> 8/16 -> 4/16.

[ { "created": "Thu, 22 Aug 2002 12:01:29 GMT", "version": "v1" }, { "created": "Tue, 3 Sep 2002 01:15:59 GMT", "version": "v2" } ]

2016-09-06

[ [ "Park", "Jeong-Hyuck", "" ] ]

We obtain, in a systematic way, all the classical BPS equations which correspond to the quantum BPS states in the M-theory on a fully supersymmetric pp-wave. The superalgebra of the M-theory matrix model shows that the BPS states always preserve pairs of supersymmetry, implying the possible fractions of the unbroken supersymmetry as 2/16, 4/16, 6/16,.... We study their classical counterparts, and find there are essentially one unique set of 2/16 BPS equations, three inequivalent types of 4/16 BPS equations, and three inequivalent types of 8/16 BPS equations only, in addition to the 16/16 static fuzzy sphere. We discuss various supersymmetric objects as solutions. In particular, when the fuzzy sphere rotates, the supersymmetry is further broken as 16/16 -> 8/16 -> 4/16.

8.033054

7.998066

8.165406

7.491935

7.850303

7.409232

7.834641

7.209424

7.311131

8.710775

7.29337

7.407118

8.023283

7.426622

7.56879

7.432061

7.547529

7.581572

7.450828

7.927086

7.289665

hep-th/0201114

Steven S. Gubser

TASI lectures: special holonomy in string theory and M-theory

34 pages, 9 figures, latex. Lectures delivered at TASI '01. v2: more printer-friendly, refs added. v3: some typos corrected

null

CALT-68-2370, CITUSC/02-001

hep-th

null

A brief, example-oriented introduction is given to special holonomy and its uses in string theory and M-theory. We discuss A_k singularities and their resolution; the construction of a K3 surface by resolving T^4/Z_2; holomorphic cycles, calibrations, and worldsheet instantons; aspects of the low-energy effective action for string compactifications; the significance of the standard embedding of the spin connection in the gauge group for heterotic string compactifications; G_2 holonomy and its relation to N=1 supersymmetric compactifications of M-theory; certain isolated G_2 singularities and their resolution; the Joyce construction of compact manifolds of G_2 holonomy; the relation of D6-branes to M-theory on special holonomy manifolds; gauge symmetry enhancement from light wrapped M2-branes; and chiral fermions from intersecting branes. These notes are based on lectures given at TASI '01.

[ { "created": "Wed, 16 Jan 2002 00:03:48 GMT", "version": "v1" }, { "created": "Mon, 21 Jan 2002 05:50:32 GMT", "version": "v2" }, { "created": "Thu, 7 Mar 2002 22:56:08 GMT", "version": "v3" } ]

2007-05-23

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

A brief, example-oriented introduction is given to special holonomy and its uses in string theory and M-theory. We discuss A_k singularities and their resolution; the construction of a K3 surface by resolving T^4/Z_2; holomorphic cycles, calibrations, and worldsheet instantons; aspects of the low-energy effective action for string compactifications; the significance of the standard embedding of the spin connection in the gauge group for heterotic string compactifications; G_2 holonomy and its relation to N=1 supersymmetric compactifications of M-theory; certain isolated G_2 singularities and their resolution; the Joyce construction of compact manifolds of G_2 holonomy; the relation of D6-branes to M-theory on special holonomy manifolds; gauge symmetry enhancement from light wrapped M2-branes; and chiral fermions from intersecting branes. These notes are based on lectures given at TASI '01.

7.043415

6.499387

7.799639

6.653689

6.922034

6.553389

6.433638

6.793263

6.733176

8.783887

6.417105

6.685497

7.111277

6.71867

6.753013

6.880627

6.768824

6.597185

6.603432

7.226473

6.570246

1707.00585

Kazuhiro Sugita

Akitsugu Miwa, Kazuhiro Sugita

Singular Gauge Transformation and the Erler-Maccaferri Solution in Bosonic Open String Field Theory

19 pages, 1 figure

null

10.1093/ptep/ptx126

null

hep-th

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

We study candidates of the multiple-brane solutions of bosonic open string field theory. They are constructed by performing a singular gauge transformation $n$ times for the Erler-Maccaferri solution. We check the EOM in the strong sense, and find that it is satisfied only when we perform the gauge transformation once. We calculate the energy for that case and obtain a support that the solution is a multiple-brane solution. We also check the tachyon profile for a specific solution which we interpret as describing a D24-brane placed on a D25-brane.

[ { "created": "Mon, 3 Jul 2017 15:08:00 GMT", "version": "v1" } ]

2018-05-09

[ [ "Miwa", "Akitsugu", "" ], [ "Sugita", "Kazuhiro", "" ] ]

We study candidates of the multiple-brane solutions of bosonic open string field theory. They are constructed by performing a singular gauge transformation $n$ times for the Erler-Maccaferri solution. We check the EOM in the strong sense, and find that it is satisfied only when we perform the gauge transformation once. We calculate the energy for that case and obtain a support that the solution is a multiple-brane solution. We also check the tachyon profile for a specific solution which we interpret as describing a D24-brane placed on a D25-brane.

12.776831

10.727345

15.047791

11.332963

10.803485

11.88044

10.47749

10.915934

11.367615

18.566881

11.543659

11.822262

13.482628

11.840356

12.225278

11.816803

11.59367

11.967178

11.696356

13.205687

11.508606

2011.10628

Alessandro Carotenuto

Alessandro Carotenuto, Fedele Lizzi, Mattia Manfredonia, Flavio Mercati

The Weyl-Mellin quantization map for $\kappa$-Minkowski Noncommutative Spacetime

null

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

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

We present a quantization of the functions of spacetime, i.e.\ a map, analog to Weyl map, which reproduces the $\kappa$-Minkowski commutation relations, and it has the desirable properties of mapping square integrable funcions into Hilbert-Schmidt operators, as well as real functions into self-adjoint operators. The map is based on Mellin transform on radial and time coordinates. The map also define a deformed $*$ product which we discuss with examples.

[ { "created": "Fri, 20 Nov 2020 20:37:15 GMT", "version": "v1" }, { "created": "Fri, 10 Dec 2021 09:41:37 GMT", "version": "v2" } ]

2021-12-13

[ [ "Carotenuto", "Alessandro", "" ], [ "Lizzi", "Fedele", "" ], [ "Manfredonia", "Mattia", "" ], [ "Mercati", "Flavio", "" ] ]

We present a quantization of the functions of spacetime, i.e.\ a map, analog to Weyl map, which reproduces the $\kappa$-Minkowski commutation relations, and it has the desirable properties of mapping square integrable funcions into Hilbert-Schmidt operators, as well as real functions into self-adjoint operators. The map is based on Mellin transform on radial and time coordinates. The map also define a deformed $*$ product which we discuss with examples.

12.759814

14.264645

14.240623

12.984518

12.444466

13.994655

13.710558

12.162189

13.071017

14.142426

12.070517

12.116869

12.174797

12.109941

11.985829

12.993127

12.584369

12.308968

12.341127

12.036916

11.911979

2406.17017

Marcello Romano

Brando Bellazzini, Stefano De Angelis, Marcello Romano

Continuous-Spin Particles, On Shell

31 pages, 7 figures

null

hep-th hep-ph

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

We study on-shell scattering amplitudes for continuous-spin particles. Poincar\'e invariance, little-group $ISO(2)$ covariance, analyticity, and on-shell factorization (unitarity) impose stringent conditions on these amplitudes. We solve them by realizing a non-trivial representation for all little-group generators on the space of functions of bi-spinors. The three-point amplitudes are uniquely determined by matching their high-energy limit to that of definite-helicity (ordinary) massless particles. Four-point amplitudes are then bootstrapped using consistency conditions, allowing us to analyze the theory in a very transparent way, without relying on any off-shell Lagrangian formulation. We present several examples that highlight the main features of the resulting scattering amplitudes. Finally, we explore under which conditions it is possible to relax some assumptions, such as strict on-shell factorization, analyticity, or others. We show that continuous-spin particle dynamics may approximate gravity and electromagnetism in a loose version of $S$-matrix principles.

[ { "created": "Mon, 24 Jun 2024 18:00:02 GMT", "version": "v1" } ]

2024-06-26

[ [ "Bellazzini", "Brando", "" ], [ "De Angelis", "Stefano", "" ], [ "Romano", "Marcello", "" ] ]

We study on-shell scattering amplitudes for continuous-spin particles. Poincar\'e invariance, little-group $ISO(2)$ covariance, analyticity, and on-shell factorization (unitarity) impose stringent conditions on these amplitudes. We solve them by realizing a non-trivial representation for all little-group generators on the space of functions of bi-spinors. The three-point amplitudes are uniquely determined by matching their high-energy limit to that of definite-helicity (ordinary) massless particles. Four-point amplitudes are then bootstrapped using consistency conditions, allowing us to analyze the theory in a very transparent way, without relying on any off-shell Lagrangian formulation. We present several examples that highlight the main features of the resulting scattering amplitudes. Finally, we explore under which conditions it is possible to relax some assumptions, such as strict on-shell factorization, analyticity, or others. We show that continuous-spin particle dynamics may approximate gravity and electromagnetism in a loose version of $S$-matrix principles.

11.086639

10.339825

11.202209

11.189001

10.693141

10.642019

10.282622

10.687806

10.357224

11.89069

10.223256

10.872264

10.429764

10.335667

10.360857

10.680488

10.368848

10.368554

10.172605

10.594868

10.318295

hep-th/0210173

Dantao Peng

Bo-Yu Hou, Dan-Tao Peng

Incompressible Quantum Hall Fluid

13 pages, no figures, plain latex. Talk given by Bo-Yu Hou at the International conference of the String theory, Beijing, August 17-19, 2002

null

hep-th

null

After review the quantum Hall effect on the fuzzy two-sphere $S^2$ and Zhang and Hu's 4-sphere $S^4$, the incompressible quantum Hall fluid on $S^2$, $S^4$ and torus are discussed respectively. Next, the corresponding Laughlin wavefunctions on $S^2$ are also given out. The ADHM construction on $S^4$ is discussed. We also point out that on torus, the incompressible quantum Hall fluid is related to the integrable Gaudin model and the solution can be given out by the Yang Bethe ansatz.

[ { "created": "Fri, 18 Oct 2002 04:24:14 GMT", "version": "v1" } ]

2007-05-23

[ [ "Hou", "Bo-Yu", "" ], [ "Peng", "Dan-Tao", "" ] ]

After review the quantum Hall effect on the fuzzy two-sphere $S^2$ and Zhang and Hu's 4-sphere $S^4$, the incompressible quantum Hall fluid on $S^2$, $S^4$ and torus are discussed respectively. Next, the corresponding Laughlin wavefunctions on $S^2$ are also given out. The ADHM construction on $S^4$ is discussed. We also point out that on torus, the incompressible quantum Hall fluid is related to the integrable Gaudin model and the solution can be given out by the Yang Bethe ansatz.

8.466914

8.005686

8.720874

6.916655

7.645591

7.429557

7.451412

7.112873

7.265278

8.241704

7.511505

7.605943

8.291254

7.589356

7.651932

7.400025

7.340808

7.602011

7.344382

7.771943

7.333066

hep-th/0601197

Ari Pakman

Liouville theory without an action

9 pages

Phys.Lett.B642:263-269,2006

10.1016/j.physletb.2006.09.064

YITP-SB-05-46, TIFR/TH/05-48

hep-th

null

We show that the crossing symmetry of the four-point function in the Liouville conformal field theory on the sphere contains more information than what was hitherto considered. Under certain assumptions, it provides the special structure constants that were previously computed perturbatively and allows to solve the theory without using the Liouville interaction.

[ { "created": "Thu, 26 Jan 2006 20:00:05 GMT", "version": "v1" }, { "created": "Thu, 8 Jun 2006 16:59:56 GMT", "version": "v2" } ]

2008-11-26

[ [ "Pakman", "Ari", "" ] ]

We show that the crossing symmetry of the four-point function in the Liouville conformal field theory on the sphere contains more information than what was hitherto considered. Under certain assumptions, it provides the special structure constants that were previously computed perturbatively and allows to solve the theory without using the Liouville interaction.

14.717304

11.436895

16.645878

11.06887

11.366588

11.31546

10.15763

11.574704

10.242452

17.309622

11.394128

11.824186

15.289385

12.388932

12.836837

13.073914

11.680882

13.300954

13.0168

15.197391

13.01635

hep-th/0011030

Ilya Shapiro

J.C. Fabris, A.M. Pelinson and I.L. Shapiro

Anomaly-Induced Effective Action and Inflation

4 pages, LaTeX. Contribution to the Proceedings of the EuroConference on Frontiers in Particle Astrophysics and Cosmology, 30 September - 5 October 2000. San Feliu, Spain

Nucl.Phys.Proc.Suppl. 95 (2001) 78-81

10.1016/S0920-5632(01)01060-X

DF/UFJF-00/08

hep-th

null

In the early Universe matter can be described as a conformal invariant ultra-relativistic perfect fluid, which does not contribute, on classical level, to the evolution of the isotropic and homogeneous metric. If we suppose that there is some desert in the particle spectrum just below the Planck mass, then the effect of conformal trace anomaly is dominating at the corresponding energies. With some additional constraints on the particle content of the underlying gauge model (which favor extended or supersymmetric versions of the Standard Model rather than the minimal one), one arrives at the stable inflation. We review the model and report about the calculation of the gravitational waves on the background of the anomaly-induced inflation. The result for the perturbation spectrum is close to the one for the conventional inflaton model, and is in agreement with the existing Cobe data (see also [hep-th/0009197]).

[ { "created": "Mon, 6 Nov 2000 13:48:46 GMT", "version": "v1" } ]

2009-10-31

[ [ "Fabris", "J. C.", "" ], [ "Pelinson", "A. M.", "" ], [ "Shapiro", "I. L.", "" ] ]

In the early Universe matter can be described as a conformal invariant ultra-relativistic perfect fluid, which does not contribute, on classical level, to the evolution of the isotropic and homogeneous metric. If we suppose that there is some desert in the particle spectrum just below the Planck mass, then the effect of conformal trace anomaly is dominating at the corresponding energies. With some additional constraints on the particle content of the underlying gauge model (which favor extended or supersymmetric versions of the Standard Model rather than the minimal one), one arrives at the stable inflation. We review the model and report about the calculation of the gravitational waves on the background of the anomaly-induced inflation. The result for the perturbation spectrum is close to the one for the conventional inflaton model, and is in agreement with the existing Cobe data (see also [hep-th/0009197]).

13.591637

15.50774

12.922207

12.888362

14.617024

14.360076

15.243891

12.784558

13.332446

13.96651

13.886619

12.948564

12.716928

12.582803

12.595403

12.691118

12.936276

12.50059

13.07095

12.898432

12.616757

2306.00609

Felipe Diaz-Jaramillo

Roberto Bonezzi, Christoph Chiaffrino, Felipe Diaz-Jaramillo, Olaf Hohm

Weakly constrained double field theory: the quartic theory

8 pages

null

HU-EP-23/15-RTG

hep-th

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

Double field theory was originally introduced as the subsector of closed string field theory on a toroidal background given by the massless fields together with all their massive Kaluza-Klein and winding modes. These massive modes are encoded in the dependence of the massless fields on doubled toroidal coordinates, subject to the so-called 'weak constraint'. This theory was constructed by Hull and Zwiebach in 2009 to cubic order in fields, but due to the weak constraint it is a highly non-trivial problem to extend this to quartic and higher order. In this letter we announce and outline the construction of weakly constrained double field theory to quartic order, in which all coordinates are toroidal and doubled. To this end we use the framework of homotopy algebras and obtain double field theory as a double copy of the kinematic homotopy algebra of Yang-Mills theory.

[ { "created": "Thu, 1 Jun 2023 12:26:45 GMT", "version": "v1" } ]

2023-06-02

[ [ "Bonezzi", "Roberto", "" ], [ "Chiaffrino", "Christoph", "" ], [ "Diaz-Jaramillo", "Felipe", "" ], [ "Hohm", "Olaf", "" ] ]

Double field theory was originally introduced as the subsector of closed string field theory on a toroidal background given by the massless fields together with all their massive Kaluza-Klein and winding modes. These massive modes are encoded in the dependence of the massless fields on doubled toroidal coordinates, subject to the so-called 'weak constraint'. This theory was constructed by Hull and Zwiebach in 2009 to cubic order in fields, but due to the weak constraint it is a highly non-trivial problem to extend this to quartic and higher order. In this letter we announce and outline the construction of weakly constrained double field theory to quartic order, in which all coordinates are toroidal and doubled. To this end we use the framework of homotopy algebras and obtain double field theory as a double copy of the kinematic homotopy algebra of Yang-Mills theory.

7.709956

7.222017

9.101849

7.253038

7.15347

6.469385

6.60918

6.602977

7.530749

10.743214

6.89564

7.031153

7.966967

6.973487

6.858608

7.089301

7.277745

7.168379

7.018917

7.762126

7.219749

2307.12368

Per Kraus

Seolhwa Kim, Per Kraus, Ruben Monten, Richard M. Myers

S-Matrix Path Integral Approach to Symmetries and Soft Theorems

38 pages

null

hep-th

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

We explore a formulation of the S-matrix in terms of the path integral with specified asymptotic data, as originally proposed by Arefeva, Faddeev, and Slavnov. In the tree approximation the S-matrix is equal to the exponential of the classical action evaluated on-shell. This formulation is well-suited to questions involving asymptotic symmetries, as it avoids reference to non-gauge/diffeomorphism invariant bulk correlators or sources at intermediate stages. We show that the soft photon theorem, originally derived by Weinberg and more recently connected to asymptotic symmetries by Strominger and collaborators, follows rather simply from invariance of the action under large gauge transformations applied to the asymptotic data. We also show that this formalism allows for efficient computation of the S-matrix in curved spacetime, including particle production due to a time dependent metric.

[ { "created": "Sun, 23 Jul 2023 16:35:28 GMT", "version": "v1" }, { "created": "Tue, 20 Feb 2024 00:16:36 GMT", "version": "v2" }, { "created": "Mon, 22 Jul 2024 16:33:44 GMT", "version": "v3" } ]

2024-07-23

[ [ "Kim", "Seolhwa", "" ], [ "Kraus", "Per", "" ], [ "Monten", "Ruben", "" ], [ "Myers", "Richard M.", "" ] ]

We explore a formulation of the S-matrix in terms of the path integral with specified asymptotic data, as originally proposed by Arefeva, Faddeev, and Slavnov. In the tree approximation the S-matrix is equal to the exponential of the classical action evaluated on-shell. This formulation is well-suited to questions involving asymptotic symmetries, as it avoids reference to non-gauge/diffeomorphism invariant bulk correlators or sources at intermediate stages. We show that the soft photon theorem, originally derived by Weinberg and more recently connected to asymptotic symmetries by Strominger and collaborators, follows rather simply from invariance of the action under large gauge transformations applied to the asymptotic data. We also show that this formalism allows for efficient computation of the S-matrix in curved spacetime, including particle production due to a time dependent metric.

7.477523

7.719557

7.530689

7.236209

7.595786

7.475796

7.854311

7.397589

7.601505

8.587115

7.444963

7.467669

7.415888

7.696679

7.383719

7.820013

7.658064

7.513681

7.447648

7.916948

7.597923

2012.12662

Masud Chaichian

A. A. Bytsenko, M. Chaichian, A. E. Gon\c{c}alves

Hilbert schemes, Verma modules and spectral functions of hyperbolic geometry with application to quantum invariants

28 pages

Int.J.Mod.Phys. A34 (2019) no.11, 1930060

10.1142/S0217751X19300060

null

hep-th math-ph math.MP

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

In this article we exploit Ruelle-type spectral functions and analyze the Verma module over Virasoro algebra, boson-fermion correspondence, the analytic torsion, the Chern-Simons and $\eta$ invariants, as well as the generation function associated to dimensions of the Hochschild homology of the crossed product $\mathbb{C}[S_n]\ltimes \mathcal{A}^{\otimes n}$ ($\mathcal{A}$ is the $q$-Weyl algebra). After analysing the Chern-Simons and $\eta$ invariants of Dirac operators by using irreducible $SU(n)$-flat connections on locally symmetric manifolds of non-positive section curvature, we describe the exponential action for the Chern-Simons theory.

[ { "created": "Wed, 18 Nov 2020 18:29:30 GMT", "version": "v1" } ]

2020-12-24

[ [ "Bytsenko", "A. A.", "" ], [ "Chaichian", "M.", "" ], [ "Gonçalves", "A. E.", "" ] ]

In this article we exploit Ruelle-type spectral functions and analyze the Verma module over Virasoro algebra, boson-fermion correspondence, the analytic torsion, the Chern-Simons and $\eta$ invariants, as well as the generation function associated to dimensions of the Hochschild homology of the crossed product $\mathbb{C}[S_n]\ltimes \mathcal{A}^{\otimes n}$ ($\mathcal{A}$ is the $q$-Weyl algebra). After analysing the Chern-Simons and $\eta$ invariants of Dirac operators by using irreducible $SU(n)$-flat connections on locally symmetric manifolds of non-positive section curvature, we describe the exponential action for the Chern-Simons theory.

9.577753

10.712776

13.06184

9.309297

10.282237

10.676574

9.743157

10.377002

9.838915

12.879315

9.340889

9.006145

10.136617

9.344168

9.476708

9.65971

9.634661

9.625717

9.456079

10.130569

9.18203

hep-th/9903013

Sylvester James Gates Jr.

S.James Gates, Jr. and Sergei M.Kuzenko

4D, N = 2 Supersymmetric Off-shell Sigma-Models on the Cotangent Bundles of Kahler Manifolds

6 pp., LaTeX twice, no figures

Fortsch.Phys.48:115-118,2000

10.1002/(SICI)1521-3978(20001)48:1/3<115::AID-PROP115>3.0.CO;2-F

UMDEPP 99-091

hep-th

null

We review the construction of 4D, N =2 globally supersymmetric off-shell nonlinear sigma models whose target spaces are the cotangent bundles of K\"ahler manifolds.

[ { "created": "Mon, 1 Mar 1999 18:41:11 GMT", "version": "v1" } ]

2017-04-26

[ [ "Gates,", "S. James", "Jr." ], [ "Kuzenko", "Sergei M.", "" ] ]

We review the construction of 4D, N =2 globally supersymmetric off-shell nonlinear sigma models whose target spaces are the cotangent bundles of K\"ahler manifolds.

7.386951

4.309931

6.49599

4.475465

4.530567

4.366064

4.237117

4.557515

4.738429

6.882743

4.411778

4.739882

6.576501

4.939399

4.674733

4.764577

5.029055

4.860652

5.323348

6.302333

4.875754

hep-th/9210083

John Harnad

M.A. Wisse

Quasi-Periodic Solutions for matrix nonlinear Schroedinger Equations

11 pages

J.Math.Phys. 33 (1992) 3694-3699

10.1063/1.529864

Univ. de Montr\'eal preprint CRM-1834 (1992)

hep-th

null

The Adler-Kostant-Symes theorem yields isospectral hamiltonian flows on the dual $\tilde\grg^{+*}$ of a Lie subalgebra $\tilde\grg^+$ of a loop algebra $\tilde\grg$. A general approach relating the method of integration of Krichever, Novikov and Dubrovin to such flows is used to obtain finite-gap solutions of matrix Nonlinear Schr\"odinger Equations in terms of quotients of $\tet$-functions.

[ { "created": "Thu, 15 Oct 1992 19:56:06 GMT", "version": "v1" } ]

2009-10-22

[ [ "Wisse", "M. A.", "" ] ]

The Adler-Kostant-Symes theorem yields isospectral hamiltonian flows on the dual $\tilde\grg^{+*}$ of a Lie subalgebra $\tilde\grg^+$ of a loop algebra $\tilde\grg$. A general approach relating the method of integration of Krichever, Novikov and Dubrovin to such flows is used to obtain finite-gap solutions of matrix Nonlinear Schr\"odinger Equations in terms of quotients of $\tet$-functions.

9.804131

7.982742

14.84906

8.018441

10.255422

9.640979

9.573236

8.795619

8.102869

17.363949

7.815789

9.065575

10.136641

9.097409

8.86032

9.460857

8.871616

8.978186

8.904919

10.644938

8.716951

1702.07720

Mark Hertzberg

Mark P. Hertzberg, McCullen Sandora

General Relativity from Causality

31 pages, 4 figures, 1 table. V2: Some clarifications on EFT breakdown and comparison to GR. Updated to resemble version published in JHEP

JHEP 09 (2017) 119

10.1007/JHEP09(2017)119

null

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

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

We study large families of theories of interacting spin 2 particles from the point of view of causality. Although it is often stated that there is a unique Lorentz invariant effective theory of massless spin 2, namely general relativity, other theories that utilize higher derivative interactions do in fact exist. These theories are distinct from general relativity, as they permit any number of species of spin 2 particles, are described by a much larger set of parameters, and are not constrained to satisfy the equivalence principle. We consider the leading spin 2 couplings to scalars, fermions, and vectors, and systematically study signal propagation in all these other families of theories. We find that most interactions directly lead to superluminal propagation of either a spin 2 particle or a matter particle, and interactions that are subluminal generate other interactions that are superluminal. Hence, such theories of interacting multiple spin 2 species have superluminality, and by extension, acausality. This is radically different to the special case of general relativity with a single species of minimally coupled spin 2, which leads to subluminal propagation from sources satisfying the null energy condition. This pathology persists even if the spin 2 field is massive. We compare these findings to the analogous case of spin 1 theories, where higher derivative interactions can be causal. This makes the spin 2 case very special, and suggests that multiple species of spin 2 is forbidden, leading us to general relativity as essentially the unique internally consistent effective theory of spin 2.

[ { "created": "Fri, 24 Feb 2017 19:00:02 GMT", "version": "v1" }, { "created": "Sun, 1 Oct 2017 04:05:30 GMT", "version": "v2" } ]

2017-10-03

[ [ "Hertzberg", "Mark P.", "" ], [ "Sandora", "McCullen", "" ] ]

We study large families of theories of interacting spin 2 particles from the point of view of causality. Although it is often stated that there is a unique Lorentz invariant effective theory of massless spin 2, namely general relativity, other theories that utilize higher derivative interactions do in fact exist. These theories are distinct from general relativity, as they permit any number of species of spin 2 particles, are described by a much larger set of parameters, and are not constrained to satisfy the equivalence principle. We consider the leading spin 2 couplings to scalars, fermions, and vectors, and systematically study signal propagation in all these other families of theories. We find that most interactions directly lead to superluminal propagation of either a spin 2 particle or a matter particle, and interactions that are subluminal generate other interactions that are superluminal. Hence, such theories of interacting multiple spin 2 species have superluminality, and by extension, acausality. This is radically different to the special case of general relativity with a single species of minimally coupled spin 2, which leads to subluminal propagation from sources satisfying the null energy condition. This pathology persists even if the spin 2 field is massive. We compare these findings to the analogous case of spin 1 theories, where higher derivative interactions can be causal. This makes the spin 2 case very special, and suggests that multiple species of spin 2 is forbidden, leading us to general relativity as essentially the unique internally consistent effective theory of spin 2.

8.186707

8.955544

8.234209

8.148496

8.487688

8.920985

8.540854

8.423056

7.904911

8.932249

8.030551

8.038886

7.798039

7.86869

8.06596

7.944512

7.961775

7.809121

7.819498

8.130244

7.759593

1701.00688

Noburo Shiba

The Aharonov-Bohm Effect on Entanglement Entropy in Conformal Field Theory

17 pages, 5 figures; v2, added references, the small AB phase limit and the UV cutoff dependence of Renyi entropy are revised

Phys. Rev. D 96, 065016 (2017)

10.1103/PhysRevD.96.065016

null

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

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

We consider the Aharonov-Bohm effect on entanglement entropy for one interval in (1+1) dimensional conformal field theory on a one dimensional ring. The magnetic field is confined inside the ring, i.e. there is a Wilson loop on the ring. The Aharonov-Bohm phase factor which is proportional to the Wilson loop is represented as insertion of twist operators. We compute exactly the Renyi entropy from a four point function of twist operators in a free charged scalar field.

[ { "created": "Tue, 3 Jan 2017 14:15:16 GMT", "version": "v1" }, { "created": "Mon, 1 May 2017 17:41:00 GMT", "version": "v2" } ]

2017-09-27

[ [ "Shiba", "Noburo", "" ] ]

We consider the Aharonov-Bohm effect on entanglement entropy for one interval in (1+1) dimensional conformal field theory on a one dimensional ring. The magnetic field is confined inside the ring, i.e. there is a Wilson loop on the ring. The Aharonov-Bohm phase factor which is proportional to the Wilson loop is represented as insertion of twist operators. We compute exactly the Renyi entropy from a four point function of twist operators in a free charged scalar field.

8.419861

8.076858

9.060488

7.810448

8.046688

8.219458

7.293139

7.729922

7.955812

9.440325

7.777081

7.569933

8.499488

7.793334

8.119044

7.491892

7.819828

7.81174

7.754736

8.410247

7.732641

hep-th/0502221

Anton Rebhan

A. Rebhan, R. Sch\"ofbeck, P. van Nieuwenhuizen, R. Wimmer

BPS saturation of the N=4 monopole by infinite composite-operator renormalization

1+14 pages, 2 figures. v3: version to appear in Phys. Lett. B (Note added and minor corrections)

Phys.Lett. B632 (2006) 145-150

10.1016/j.physletb.2005.10.029

TUW-05-02, YITP-SB-05-02, ITP-UH-04/05

hep-th

null

Quantum corrections to the magnetic central charge of the monopole in N=4 supersymmetric Yang-Mills theory are free from the anomalous contributions that were crucial for BPS saturation of the two-dimensional supersymmetric kink and the N=2 monopole. However these quantum corrections are nontrivial and they require infinite renormalization of the supersymmetry current, central charges, and energy-momentum tensor, in contrast to N=2 and even though the N=4 theory is finite. Their composite-operator renormalization leads to counterterms which form a multiplet of improvement terms. Using on-shell renormalization conditions the quantum corrections to the mass and the central charge then vanish both, thus verifying quantum BPS saturation.

[ { "created": "Thu, 24 Feb 2005 20:53:41 GMT", "version": "v1" }, { "created": "Mon, 14 Mar 2005 15:55:34 GMT", "version": "v2" }, { "created": "Thu, 27 Oct 2005 13:22:19 GMT", "version": "v3" } ]

2009-11-11

[ [ "Rebhan", "A.", "" ], [ "Schöfbeck", "R.", "" ], [ "van Nieuwenhuizen", "P.", "" ], [ "Wimmer", "R.", "" ] ]

Quantum corrections to the magnetic central charge of the monopole in N=4 supersymmetric Yang-Mills theory are free from the anomalous contributions that were crucial for BPS saturation of the two-dimensional supersymmetric kink and the N=2 monopole. However these quantum corrections are nontrivial and they require infinite renormalization of the supersymmetry current, central charges, and energy-momentum tensor, in contrast to N=2 and even though the N=4 theory is finite. Their composite-operator renormalization leads to counterterms which form a multiplet of improvement terms. Using on-shell renormalization conditions the quantum corrections to the mass and the central charge then vanish both, thus verifying quantum BPS saturation.

14.46138

13.938516

15.946288

13.398923

14.386909

13.541525

13.331397

14.969123

14.155499

17.14645

13.771491

13.616342

14.446052

13.7222

14.087667

13.404533

13.727011

13.885464

13.70267

14.318474

13.407854

0808.2276

John Dixon

Some Composite Hadrons and Leptons which induce Supersymmetry Breaking in the Supersymmetric Standard Model: Cybersusy III

30 pages

null

hep-th

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

This is the third paper in a series of four papers which introduce cybersusy, which is a new mechanism for supersymmetry breaking in the supersymmetric standard model (SSM). In this paper we display some solutions to the constraint equations of BRS cohomology in the SSM. In particular we discuss the leptonic dotspinor pseudosupermultiplets that were used in Cybersusy I to calculate leptonic supersymmetry breaking in the supersymmetric standard model. We also introduce examples of hadronic dotspinor pseudosupermultiplets that will induce baryonic supersymmetry breaking in the SSM for the baryons with charge Q=-1, and related supersymmetry partner baryons. Some interesting relationships between the peculiar structure of the SSM, the existence of solutions for the BRS constraints, and supersymmetry breaking using cybersusy are noted.

[ { "created": "Sat, 16 Aug 2008 23:05:25 GMT", "version": "v1" } ]

2008-08-19

[ [ "Dixon", "John", "" ] ]

This is the third paper in a series of four papers which introduce cybersusy, which is a new mechanism for supersymmetry breaking in the supersymmetric standard model (SSM). In this paper we display some solutions to the constraint equations of BRS cohomology in the SSM. In particular we discuss the leptonic dotspinor pseudosupermultiplets that were used in Cybersusy I to calculate leptonic supersymmetry breaking in the supersymmetric standard model. We also introduce examples of hadronic dotspinor pseudosupermultiplets that will induce baryonic supersymmetry breaking in the SSM for the baryons with charge Q=-1, and related supersymmetry partner baryons. Some interesting relationships between the peculiar structure of the SSM, the existence of solutions for the BRS constraints, and supersymmetry breaking using cybersusy are noted.

10.688622

9.750162

10.580709

8.980949

9.672254

9.95335

9.951109

9.706882

9.35899

10.636918

9.043419

9.962408

9.739702

9.676241

9.482062

9.988222

9.68598

9.856844

9.871387

10.003253

9.758895

1106.1116

Teresia Mansson

V. Giangreco M. Puletti, T. Mansson

The dual string sigma-model of the SU_q(3) sector

20 pages

null

10.1007/JHEP01(2012)129

NORDITA-2011-44

hep-th

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

In four-dimensional N=4 super Yang-Mills (SYM) the SU(3) sub-sector spanned by purely holomorphic fields is isomorphic to the corresponding mixed one spanned by both holomorphic and antiholomorphic fields. This is no longer the case when one considers the marginally deformed N=4 SYM. The mixed SU(3) sector marginally deformed by a complex parameter beta, i.e. SU_q(3) with q=e^{2 i\pi\beta}, has been shown to be integrable at one-loop hep-th/0703150, while it is not the case for the corresponding purely holomorphic one. Moreover, the marginally deformed N=4 SYM also has a gravity dual constructed by Lunin and Maldacena in hep-th/0502086. However, the mixed SU_q(3) sector has not been studied from the supergravity point of view. Hence in this note, for the case of purely imaginary marginal $\beta$-deformations, we compute the superstring SU_q(3) \sigma-model in the fast spinning string limit and show that, for rational spinning strings, it reproduces the energy computed via Bethe equations.

[ { "created": "Mon, 6 Jun 2011 16:37:47 GMT", "version": "v1" }, { "created": "Thu, 16 Feb 2012 09:54:20 GMT", "version": "v2" } ]

2015-05-28

[ [ "Puletti", "V. Giangreco M.", "" ], [ "Mansson", "T.", "" ] ]

In four-dimensional N=4 super Yang-Mills (SYM) the SU(3) sub-sector spanned by purely holomorphic fields is isomorphic to the corresponding mixed one spanned by both holomorphic and antiholomorphic fields. This is no longer the case when one considers the marginally deformed N=4 SYM. The mixed SU(3) sector marginally deformed by a complex parameter beta, i.e. SU_q(3) with q=e^{2 i\pi\beta}, has been shown to be integrable at one-loop hep-th/0703150, while it is not the case for the corresponding purely holomorphic one. Moreover, the marginally deformed N=4 SYM also has a gravity dual constructed by Lunin and Maldacena in hep-th/0502086. However, the mixed SU_q(3) sector has not been studied from the supergravity point of view. Hence in this note, for the case of purely imaginary marginal $\beta$-deformations, we compute the superstring SU_q(3) \sigma-model in the fast spinning string limit and show that, for rational spinning strings, it reproduces the energy computed via Bethe equations.

8.115733

7.660245

8.721575

6.925211

7.763535

7.642424

7.99162

7.112587

7.535449

9.662352

7.165303

7.586659

7.888113

7.374964

7.40014

7.438513

7.345859

7.456708

7.315923

8.070739

7.254761

1204.6722

Akira Ishida

Akira Ishida, Shunsuke Teraguchi

On open-closed extension of boundary string field theory

25 pages, 2 figures, comments and a reference added, typos corrected

JHEP 1207:059,2012

10.1007/JHEP07(2012)059

null

hep-th

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

We investigate a classical open-closed string field theory whose open string sector is given by boundary string field theory. The open-closed interaction is introduced by the overlap of a boundary state with a closed string field. With the help of the Batalin-Vilkovisky formalism, the closed string sector is determined to be the HIKKO closed string field theory. We also discuss the gauge invariance of this theory in both open and closed string sides.

[ { "created": "Mon, 30 Apr 2012 18:41:32 GMT", "version": "v1" }, { "created": "Wed, 11 Jul 2012 05:11:44 GMT", "version": "v2" } ]

2012-07-12

[ [ "Ishida", "Akira", "" ], [ "Teraguchi", "Shunsuke", "" ] ]

We investigate a classical open-closed string field theory whose open string sector is given by boundary string field theory. The open-closed interaction is introduced by the overlap of a boundary state with a closed string field. With the help of the Batalin-Vilkovisky formalism, the closed string sector is determined to be the HIKKO closed string field theory. We also discuss the gauge invariance of this theory in both open and closed string sides.

6.203587

5.217627

6.905069

5.091468

5.413607

5.421823

4.900816

5.256978

5.296029

7.022414

5.39091

5.408009

5.96463

5.367211

5.306428

5.422997

5.308648

5.671642

5.755172

5.910203

5.525726

hep-th/0304134

Fischer

R. Alkofer, C. S. Fischer, H. Reinhardt and L. von Smekal

On the infrared behaviour of Gluons and Ghosts in Ghost-Antighost symmetric gauges

34 pages, 6 figures, Version to be published in Phys. Rev. D

Phys.Rev.D68:045003,2003

10.1103/PhysRevD.68.045003

UNITU-THEP-25/2002 FAU-TP3-02/27

hep-th

null

To investigate the possibility of a ghost-antighost condensate the coupled Dyson--Schwinger equations for the gluon and ghost propagators in Yang--Mills theories are derived in general covariant gauges, including ghost-antighost symmetric gauges. The infrared behaviour of these two-point functions is studied in a bare-vertex truncation scheme which has proven to be successful in Landau gauge. In all linear covariant gauges the same infrared behaviour as in Landau gauge is found: The gluon propagator is infrared suppressed whereas the ghost propagator is infrared enhanced. This infrared singular behaviour provides indication against a ghost-antighost condensate. In the ghost-antighost symmetric gauges we find that the infrared behaviour of the gluon and ghost propagators cannot be determined when replacing all dressed vertices by bare ones. The question of a BRST invariant dimension two condensate remains to be further studied.

[ { "created": "Tue, 15 Apr 2003 12:25:47 GMT", "version": "v1" }, { "created": "Wed, 11 Jun 2003 11:59:13 GMT", "version": "v2" } ]

2008-11-26

[ [ "Alkofer", "R.", "" ], [ "Fischer", "C. S.", "" ], [ "Reinhardt", "H.", "" ], [ "von Smekal", "L.", "" ] ]

To investigate the possibility of a ghost-antighost condensate the coupled Dyson--Schwinger equations for the gluon and ghost propagators in Yang--Mills theories are derived in general covariant gauges, including ghost-antighost symmetric gauges. The infrared behaviour of these two-point functions is studied in a bare-vertex truncation scheme which has proven to be successful in Landau gauge. In all linear covariant gauges the same infrared behaviour as in Landau gauge is found: The gluon propagator is infrared suppressed whereas the ghost propagator is infrared enhanced. This infrared singular behaviour provides indication against a ghost-antighost condensate. In the ghost-antighost symmetric gauges we find that the infrared behaviour of the gluon and ghost propagators cannot be determined when replacing all dressed vertices by bare ones. The question of a BRST invariant dimension two condensate remains to be further studied.

6.188108

5.751044

5.942145

5.165669

5.531054

5.633184

5.860261

5.372195

5.506637

6.111647

5.745284

5.601185

5.542958

5.486437

5.561239

5.66366

5.397123

5.566809

5.460351

5.437454

5.541987

1301.5130

Enrique Alvarez

Enrique \'Alvarez and Mario Herrero-Valea

No Conformal Anomaly in Unimodular Gravity

20 pages; misprints corrected

null

10.1103/PhysRevD.87.084054

IFT-UAM/CSIC-12-116; FTUAM-12-117

hep-th

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

The conformal invariance of unimodular gravity survives quantum corrections, even in the presence of conformal matter. Unimodular gravity can actually be understood as a certain truncation of the full Einstein-Hilbert theory, where in the Einstein frame the metric tensor enjoys unit determinant. Our result is compatible with the idea that the corresponding restriction in the functional integral is consistent as well.

[ { "created": "Tue, 22 Jan 2013 10:29:19 GMT", "version": "v1" }, { "created": "Wed, 23 Jan 2013 15:34:50 GMT", "version": "v2" }, { "created": "Thu, 21 Mar 2013 14:57:14 GMT", "version": "v3" } ]

2015-06-12

[ [ "Álvarez", "Enrique", "" ], [ "Herrero-Valea", "Mario", "" ] ]

The conformal invariance of unimodular gravity survives quantum corrections, even in the presence of conformal matter. Unimodular gravity can actually be understood as a certain truncation of the full Einstein-Hilbert theory, where in the Einstein frame the metric tensor enjoys unit determinant. Our result is compatible with the idea that the corresponding restriction in the functional integral is consistent as well.

13.332603

16.296482

13.67863

12.439296

14.47536

13.467082

16.17333

13.215119

13.6356

13.983779

12.774354

13.123522

13.419777

13.115876

12.54934

12.806508

13.123046

13.286599

13.800054

13.204908

12.803589

hep-th/0401174

Silvia Penati sp

M.T. Grisaru, S. Penati, A. Romagnoni

Nonanticommutative superspace and N= 1/2 WZ model

9 pages, plain Latex, contribution to the proceedings of the Copenhagen RTN workshop, 15-20 September 2003

Class.Quant.Grav. 21 (2004) S1391-1398

10.1088/0264-9381/21/10/012

null

hep-th

null

In these proceedings we review the main results concerning superspace geometries with nonanticommutative spinorial variables and field theories formulated on them. In particular, we report on the quantum properties of the WZ model formulated in the N=1/2 nonanticommutative superspace.

[ { "created": "Fri, 23 Jan 2004 17:01:06 GMT", "version": "v1" } ]

2009-11-10

[ [ "Grisaru", "M. T.", "" ], [ "Penati", "S.", "" ], [ "Romagnoni", "A.", "" ] ]

In these proceedings we review the main results concerning superspace geometries with nonanticommutative spinorial variables and field theories formulated on them. In particular, we report on the quantum properties of the WZ model formulated in the N=1/2 nonanticommutative superspace.

11.061697

7.961075

9.440228

8.718463

8.76308

8.677045

9.200033

8.576966

10.682716

9.300343

8.768827

8.411282

9.921557

8.67005

8.258108

8.286879

8.036506

8.492436

8.598096

9.688194

8.458161

hep-th/9411012

null

I. Antoniadis and S.D. Odintsov

Renormalization group and logarithmic corrections to scaling relations in conformal sector of 4D gravity

9 pages,LATEX file

Phys.Lett.B343:76-80,1995

10.1016/0370-2693(94)01470-W

CPTH-A334.1094

hep-th

null

We study the effective theory of the conformal factor near its infrared stable fixed point.The renormalization group equations for the effective coupling constants are found and their solutions near the critical point are obtained, providing the logarithmic corrections to scaling relations.Some cosmological applications of the running of coupling constants are briefly discussed.

[ { "created": "Wed, 2 Nov 1994 11:30:13 GMT", "version": "v1" } ]

2009-09-17

[ [ "Antoniadis", "I.", "" ], [ "Odintsov", "S. D.", "" ] ]

We study the effective theory of the conformal factor near its infrared stable fixed point.The renormalization group equations for the effective coupling constants are found and their solutions near the critical point are obtained, providing the logarithmic corrections to scaling relations.Some cosmological applications of the running of coupling constants are briefly discussed.

13.91444

11.126282

13.387794

11.059706

11.329551

12.157134

11.281766

10.637691

10.641806

13.771924

11.188417

12.034668

12.955191

12.322977

12.483935

12.406682

12.259614

12.602769

12.223246

12.703879

12.764378

hep-th/0305064

James T. Liu

Alex Buchel and James T. Liu

Thermodynamics of the N=2* flow

40 pages, Latex, 3 figures

JHEP 0311 (2003) 031

10.1088/1126-6708/2003/11/031

MCTP-03-25

hep-th

null

We discuss the thermodynamics of the N=2*, SU(N) gauge theory at large 't Hooft coupling. The tool we use is the non-extremal deformation of the supergravity solution of Pilch and Warner (PW) [hep-th/0004063], dual to N=4, SU(N) gauge theory softly broken to N=2. We construct the exact non-extremal solution in five-dimensional gauged supergravity and further uplift it to ten dimensions. Turning to the thermodynamics, we analytically compute the leading correction in m/T to the free energy of the non-extremal D3 branes due to the PW mass deformation, and find that it is positive. We also demonstrate that the mass deformation of the non-extremal D3 brane geometry induces a temperature dependent gaugino condensate. We find that the standard procedure of extracting the N=2* gauge theory thermodynamic quantities from the dual supergravity leads to a violation of the first law of thermodynamics. We speculate on a possible resolution of this paradox.

[ { "created": "Thu, 8 May 2003 13:44:19 GMT", "version": "v1" } ]

2009-11-10

[ [ "Buchel", "Alex", "" ], [ "Liu", "James T.", "" ] ]

We discuss the thermodynamics of the N=2*, SU(N) gauge theory at large 't Hooft coupling. The tool we use is the non-extremal deformation of the supergravity solution of Pilch and Warner (PW) [hep-th/0004063], dual to N=4, SU(N) gauge theory softly broken to N=2. We construct the exact non-extremal solution in five-dimensional gauged supergravity and further uplift it to ten dimensions. Turning to the thermodynamics, we analytically compute the leading correction in m/T to the free energy of the non-extremal D3 branes due to the PW mass deformation, and find that it is positive. We also demonstrate that the mass deformation of the non-extremal D3 brane geometry induces a temperature dependent gaugino condensate. We find that the standard procedure of extracting the N=2* gauge theory thermodynamic quantities from the dual supergravity leads to a violation of the first law of thermodynamics. We speculate on a possible resolution of this paradox.

5.64515

5.481684

6.437899

5.243774

5.998841

5.747375

5.966522

5.685329

5.557937

6.474584

5.506518

5.745728

5.863109

5.461625

5.347871

5.697891

5.392494

5.594087

5.438518

6.042168

5.397911

1809.05426

Paolo Aschieri

Paolo Aschieri, Andreas Deser

Global Seiberg-Witten maps for U(n)-bundles on tori and T-duality

28 pages. Revised version: sharpened in Sec. 4.3 the study of the Seiberg-Witten maps for sections in the adjoint, related to their ordering ambiguities; added sum of connections for tensor product bundles in Sec. 5; improved in Sec. 5.1 the compatibility between Seiberg-Witten map and T-duality transformations

null

10.1007/s00023-019-00823-1

null

hep-th math-ph math.MP

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

Seiberg-Witten maps are a well-established method to locally construct noncommutative gauge theories starting from commutative gauge theories. We revisit and classify the ambiguities and the freedom in the definition. Geometrically, Seiberg-Witten maps provide a quantization of bundles with connections. We study the case of U(n)-vector bundles on two-dimensional tori, prove the existence of globally defined Seiberg-Witten maps (induced from the plane to the torus) and show their compatibility with Morita equivalence.

[ { "created": "Fri, 14 Sep 2018 13:57:17 GMT", "version": "v1" }, { "created": "Sat, 26 Jan 2019 23:09:46 GMT", "version": "v2" } ]

2019-10-23

[ [ "Aschieri", "Paolo", "" ], [ "Deser", "Andreas", "" ] ]

Seiberg-Witten maps are a well-established method to locally construct noncommutative gauge theories starting from commutative gauge theories. We revisit and classify the ambiguities and the freedom in the definition. Geometrically, Seiberg-Witten maps provide a quantization of bundles with connections. We study the case of U(n)-vector bundles on two-dimensional tori, prove the existence of globally defined Seiberg-Witten maps (induced from the plane to the torus) and show their compatibility with Morita equivalence.

10.075109

8.56132

9.624168

8.575733

9.664785

8.757098

8.771811

8.533309

8.348931

10.588587

8.019072

8.079625

8.717831

8.673116

8.336406

8.3532

8.618017

8.124088

8.636911

9.335441

8.834573

hep-th/0511002

Clifford V. Johnson

James E. Carlisle, Clifford V. Johnson, Jeffrey S. Pennington

D-Branes and Fluxes in Supersymmetric Quantum Mechanics

41 pages, LaTeX

J.Phys. A41 (2008) 085401

10.1088/1751-8113/41/8/085401

null

hep-th

null

Type 0A string theory in the (2,4k) superconformal minimal model backgrounds, with background ZZ D-branes or R-R fluxes can be formulated non-perturbatively. The branes and fluxes have a description as threshold bound states in an associated one-dimensional quantum mechanics which has a supersymmetric structure, familiar from studies of the generalized KdV system. The relevant bound state wavefunctions in this problem have unusual asymptotics (they are not normalizable in general, and break supersymmetry) which are consistent with the underlying description in terms of open and closed string sectors. The overall organization of the physics is very pleasing: The physics of the closed strings in the background of branes or fluxes is captured by the generalized KdV system and non-perturbative string equations obtained by reduction of that system (the hierarchy of equations found by Dalley, Johnson, Morris and Watterstam). Meanwhile, the bound states wavefunctions, which describe the physics of the ZZ D-brane (or flux) background in interaction with probe FZZT D-branes, are captured by the generalized mKdV system, and non-perturbative string equations obtained by reduction of that system (the Painleve II hierachy found by Periwal and Shevitz in this context).

[ { "created": "Tue, 1 Nov 2005 02:38:33 GMT", "version": "v1" } ]

2014-08-28

[ [ "Carlisle", "James E.", "" ], [ "Johnson", "Clifford V.", "" ], [ "Pennington", "Jeffrey S.", "" ] ]

Type 0A string theory in the (2,4k) superconformal minimal model backgrounds, with background ZZ D-branes or R-R fluxes can be formulated non-perturbatively. The branes and fluxes have a description as threshold bound states in an associated one-dimensional quantum mechanics which has a supersymmetric structure, familiar from studies of the generalized KdV system. The relevant bound state wavefunctions in this problem have unusual asymptotics (they are not normalizable in general, and break supersymmetry) which are consistent with the underlying description in terms of open and closed string sectors. The overall organization of the physics is very pleasing: The physics of the closed strings in the background of branes or fluxes is captured by the generalized KdV system and non-perturbative string equations obtained by reduction of that system (the hierarchy of equations found by Dalley, Johnson, Morris and Watterstam). Meanwhile, the bound states wavefunctions, which describe the physics of the ZZ D-brane (or flux) background in interaction with probe FZZT D-branes, are captured by the generalized mKdV system, and non-perturbative string equations obtained by reduction of that system (the Painleve II hierachy found by Periwal and Shevitz in this context).

11.738462

11.695939

13.252253

10.825501

13.214331

11.749439

12.032185

12.100751

12.203914

15.584475

11.24681

11.296898

11.840348

10.807193

10.863078

10.824446

10.642195

10.942235

10.840985

11.802432

11.160162

1810.00301

Jean-Emile Bourgine

Fiber-base duality from the algebraic perspective

49 pages, 7 figures (v3: statement on universal R-matrix corrected)

null

10.1007/JHEP03(2019)003

KIAS-Q18023

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

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

Quiver 5D $\mathcal{N}=1$ gauge theories describe the low-energy dynamics on webs of $(p,q)$-branes in type IIB string theory. S-duality exchanges NS5 and D5 branes, mapping $(p,q)$-branes to branes of charge $(-q,p)$, and, in this way, induces several dualities between 5D gauge theories. On the other hand, these theories can also be obtained from the compactification of topological strings on a Calabi-Yau manifold, for which the S-duality is realized as a fiber-base duality. Recently, a third point of view has emerged in which 5D gauge theories are engineered using algebraic objects from the Ding-Iohara-Miki (DIM) algebra. Specifically, the instanton partition function is obtained as the vacuum expectation value of an operator $\mathcal{T}$ constructed by gluing the algebra's intertwiners (the equivalent of topological vertices) following the rules of the toric diagram/brane web. Intertwiners and $\mathcal{T}$-operators are deeply connected to the co-algebraic structure of the DIM algebra. We show here that S-duality can be realized as the twist of this structure by Miki's automorphism.

[ { "created": "Sun, 30 Sep 2018 03:00:12 GMT", "version": "v1" }, { "created": "Sun, 25 Nov 2018 08:58:05 GMT", "version": "v2" }, { "created": "Thu, 18 Jul 2019 01:38:01 GMT", "version": "v3" } ]

2019-07-19

[ [ "Bourgine", "Jean-Emile", "" ] ]

Quiver 5D $\mathcal{N}=1$ gauge theories describe the low-energy dynamics on webs of $(p,q)$-branes in type IIB string theory. S-duality exchanges NS5 and D5 branes, mapping $(p,q)$-branes to branes of charge $(-q,p)$, and, in this way, induces several dualities between 5D gauge theories. On the other hand, these theories can also be obtained from the compactification of topological strings on a Calabi-Yau manifold, for which the S-duality is realized as a fiber-base duality. Recently, a third point of view has emerged in which 5D gauge theories are engineered using algebraic objects from the Ding-Iohara-Miki (DIM) algebra. Specifically, the instanton partition function is obtained as the vacuum expectation value of an operator $\mathcal{T}$ constructed by gluing the algebra's intertwiners (the equivalent of topological vertices) following the rules of the toric diagram/brane web. Intertwiners and $\mathcal{T}$-operators are deeply connected to the co-algebraic structure of the DIM algebra. We show here that S-duality can be realized as the twist of this structure by Miki's automorphism.

6.25735

6.025384

7.97139

5.634564

6.375748

5.916956

6.33385

5.786257

5.800091

7.874623

5.927181

6.03959

6.21459

5.99473

5.921582

6.000755

5.930336

5.959435

5.813445

6.245108

5.865289

1104.4028

Simone Speziale

Dario Benedetti and Simone Speziale

Perturbative quantum gravity with the Immirzi parameter

v2 minor amendments

JHEP 1106:107,2011

10.1007/JHEP06(2011)107

AEI-2011-021

hep-th gr-qc

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

We study perturbative quantum gravity in the first-order tetrad formalism. The lowest order action corresponds to Einstein-Cartan plus a parity-odd term, and is known in the literature as the Holst action. The coupling constant of the parity-odd term can be identified with the Immirzi parameter of loop quantum gravity. We compute the quantum effective action in the one-loop expansion. As in the metric second-order formulation, we find that in the case of pure gravity the theory is on-shell finite, and the running of Newton's constant and the Immirzi parameter is inessential. In the presence of fermions, the situation changes in two fundamental aspects. First, non-renormalizable logarithmic divergences appear, as usual. Second, the Immirzi parameter becomes a priori observable, and we find that it is renormalized by a four-fermion interaction generated by radiative corrections. We compute its beta function and discuss possible implications. The sign of the beta function depends on whether the Immirzi parameter is larger or smaller than one in absolute value, and the values plus or minus one are UV fixed-points (we work in Euclidean signature). Finally, we find that the Holst action is stable with respect to radiative corrections in the case of minimal coupling, up to higher order non-renormalizable interactions.

[ { "created": "Wed, 20 Apr 2011 14:03:01 GMT", "version": "v1" }, { "created": "Mon, 27 Jun 2011 12:16:40 GMT", "version": "v2" } ]

2011-07-04

[ [ "Benedetti", "Dario", "" ], [ "Speziale", "Simone", "" ] ]

We study perturbative quantum gravity in the first-order tetrad formalism. The lowest order action corresponds to Einstein-Cartan plus a parity-odd term, and is known in the literature as the Holst action. The coupling constant of the parity-odd term can be identified with the Immirzi parameter of loop quantum gravity. We compute the quantum effective action in the one-loop expansion. As in the metric second-order formulation, we find that in the case of pure gravity the theory is on-shell finite, and the running of Newton's constant and the Immirzi parameter is inessential. In the presence of fermions, the situation changes in two fundamental aspects. First, non-renormalizable logarithmic divergences appear, as usual. Second, the Immirzi parameter becomes a priori observable, and we find that it is renormalized by a four-fermion interaction generated by radiative corrections. We compute its beta function and discuss possible implications. The sign of the beta function depends on whether the Immirzi parameter is larger or smaller than one in absolute value, and the values plus or minus one are UV fixed-points (we work in Euclidean signature). Finally, we find that the Holst action is stable with respect to radiative corrections in the case of minimal coupling, up to higher order non-renormalizable interactions.

5.822171

5.698063

6.256626

5.901874

6.490996

6.299291

6.118576

6.028882

5.891593

6.203476

5.820853

5.679395

5.672987

5.590012

5.596918

5.783565

5.752373

5.779804

5.699574

5.945065

5.668235

1509.01432

Naoki Sasakura

Gaurav Narain, Naoki Sasakura

An $OSp$ extension of Canonical Tensor Model

27pages, 27 figures

null

10.1093/ptep/ptv169

YITP-15-75

hep-th gr-qc

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

Tensor models are generalizations of matrix models, and are studied as discrete models of quantum gravity for arbitrary dimensions. Among them, the canonical tensor model (CTM for short) is a rank-three tensor model formulated as a totally constrained system with a number of first-class constraints, which have a similar algebraic structure as the constraints of the ADM formalism of general relativity. In this paper, we formulate a super-extension of CTM as an attempt to incorporate fermionic degrees of freedom. The kinematical symmetry group is extended from $O(N)$ to $OSp(N,\tilde N)$, and the constraints are constructed so that they form a first-class constraint super-Poisson algebra. This is a straightforward super-extension, and the constraints and their algebraic structure are formally unchanged from the purely bosonic case, except for the additional signs associated to the order of the fermionic indices and dynamical variables. However, this extension of CTM leads to the existence of negative norm states in the quantized case, and requires some future improvements as quantum gravity with fermions. On the other hand, since this is a straightforward super-extension, various results obtained so far for the purely bosonic case are expected to have parallels also in the super-extended case, such as the exact physical wave functions and the connection to the dual statistical systems, i.e. randomly connected tensor networks.

[ { "created": "Fri, 4 Sep 2015 12:57:42 GMT", "version": "v1" } ]

2015-12-23

[ [ "Narain", "Gaurav", "" ], [ "Sasakura", "Naoki", "" ] ]

Tensor models are generalizations of matrix models, and are studied as discrete models of quantum gravity for arbitrary dimensions. Among them, the canonical tensor model (CTM for short) is a rank-three tensor model formulated as a totally constrained system with a number of first-class constraints, which have a similar algebraic structure as the constraints of the ADM formalism of general relativity. In this paper, we formulate a super-extension of CTM as an attempt to incorporate fermionic degrees of freedom. The kinematical symmetry group is extended from $O(N)$ to $OSp(N,\tilde N)$, and the constraints are constructed so that they form a first-class constraint super-Poisson algebra. This is a straightforward super-extension, and the constraints and their algebraic structure are formally unchanged from the purely bosonic case, except for the additional signs associated to the order of the fermionic indices and dynamical variables. However, this extension of CTM leads to the existence of negative norm states in the quantized case, and requires some future improvements as quantum gravity with fermions. On the other hand, since this is a straightforward super-extension, various results obtained so far for the purely bosonic case are expected to have parallels also in the super-extended case, such as the exact physical wave functions and the connection to the dual statistical systems, i.e. randomly connected tensor networks.

8.690345

8.393344

9.913154

8.67786

8.646196

8.072547

8.58653

8.438205

8.1955

10.013499

7.98914

8.497362

8.740157

8.427808

8.527761

8.55202

8.810349

8.744818

8.671091

8.832962

8.381397

hep-th/0105155

Luis E. Ibanez

L.E. Ibanez, F. Marchesano and R. Rabadan

Getting just the Standard Model at Intersecting Branes

References added, some typos corrected and a comment about axionic couplings included

JHEP 0111:002,2001

10.1088/1126-6708/2001/11/002

FTUAM-01/09; IFT-UAM/CSIC-01-15

hep-th hep-ph

null

We present what we believe are the first specific string (D-brane) constructions whose low-energy limit yields just a three generation $SU(3)\times SU(2)\times U(1)$ standard model with no extra fermions nor U(1)'s (without any further effective field theory assumption). In these constructions the number of generations is given by the number of colours. The Baryon, Lepton and Peccei-Quinn symmetries are necessarily gauged and their anomalies cancelled by a generalized Green-Schwarz mechanism. The corresponding gauge bosons become massive but their presence guarantees automatically proton stability. There are necessarily three right-handed neutrinos and neutrino masses can only be of Dirac type. They are naturally small as a consequence of a PQ-like symmetry. There is a Higgs sector which is somewhat similar to that of the MSSM and the scalar potential parameters have a geometric interpretation in terms of brane distances and intersection angles. Some other physical implications of these constructions are discussed.

[ { "created": "Wed, 16 May 2001 17:04:02 GMT", "version": "v1" }, { "created": "Thu, 7 Jun 2001 15:27:43 GMT", "version": "v2" } ]

2015-06-25

[ [ "Ibanez", "L. E.", "" ], [ "Marchesano", "F.", "" ], [ "Rabadan", "R.", "" ] ]

We present what we believe are the first specific string (D-brane) constructions whose low-energy limit yields just a three generation $SU(3)\times SU(2)\times U(1)$ standard model with no extra fermions nor U(1)'s (without any further effective field theory assumption). In these constructions the number of generations is given by the number of colours. The Baryon, Lepton and Peccei-Quinn symmetries are necessarily gauged and their anomalies cancelled by a generalized Green-Schwarz mechanism. The corresponding gauge bosons become massive but their presence guarantees automatically proton stability. There are necessarily three right-handed neutrinos and neutrino masses can only be of Dirac type. They are naturally small as a consequence of a PQ-like symmetry. There is a Higgs sector which is somewhat similar to that of the MSSM and the scalar potential parameters have a geometric interpretation in terms of brane distances and intersection angles. Some other physical implications of these constructions are discussed.

8.615525

8.784505

8.562029

7.974789

7.893886

7.974922

8.244941

8.312636

7.99545

8.942641

8.136644

8.383941

7.903199

7.952422

7.98857

8.151522

8.084208

8.230749

7.9802

7.954004

8.274504

1003.1134

Martin Ammon

Martin Ammon, Johanna Erdmenger, Matthias Kaminski, Andy O'Bannon

Fermionic Operator Mixing in Holographic p-wave Superfluids

68 pages, 25 eps files in 9 figures; v2 minor corrections, added two references, version published in JHEP

JHEP 1005:053,2010

10.1007/JHEP05(2010)053

MPP-2010-28, PUPT-2331

hep-th

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

We use gauge-gravity duality to compute spectral functions of fermionic operators in a strongly-coupled defect field theory in p-wave superfluid states. The field theory is (3+1)-dimensional N=4 supersymmetric SU(Nc) Yang-Mills theory, in the 't Hooft limit and with large coupling, coupled to two massless flavors of (2+1)-dimensional N=4 supersymmetric matter. We show that a sufficiently large chemical potential for a U(1) subgroup of the global SU(2) isospin symmetry triggers a phase transition to a p-wave superfluid state, and in that state we compute spectral functions for the fermionic superpartners of mesons valued in the adjoint of SU(2) isospin. In the spectral functions we see the breaking of rotational symmetry and the emergence of a Fermi surface comprised of isolated points as we cool the system through the superfluid phase transition. The dual gravitational description is two coincident probe D5-branes in AdS5 x S5 with non-trivial worldvolume SU(2) gauge fields. We extract spectral functions from solutions of the linearized equations of motion for the D5-branes' worldvolume fermions, which couple to one another through the worldvolume gauge field. We develop an efficient method to compute retarded Green's functions from a system of coupled bulk fermions. We also perform the holographic renormalization of free bulk fermions in any asymptotically Euclidean AdS space.

[ { "created": "Fri, 5 Mar 2010 20:21:15 GMT", "version": "v1" }, { "created": "Tue, 25 May 2010 17:51:42 GMT", "version": "v2" } ]

2010-05-27

[ [ "Ammon", "Martin", "" ], [ "Erdmenger", "Johanna", "" ], [ "Kaminski", "Matthias", "" ], [ "O'Bannon", "Andy", "" ] ]

We use gauge-gravity duality to compute spectral functions of fermionic operators in a strongly-coupled defect field theory in p-wave superfluid states. The field theory is (3+1)-dimensional N=4 supersymmetric SU(Nc) Yang-Mills theory, in the 't Hooft limit and with large coupling, coupled to two massless flavors of (2+1)-dimensional N=4 supersymmetric matter. We show that a sufficiently large chemical potential for a U(1) subgroup of the global SU(2) isospin symmetry triggers a phase transition to a p-wave superfluid state, and in that state we compute spectral functions for the fermionic superpartners of mesons valued in the adjoint of SU(2) isospin. In the spectral functions we see the breaking of rotational symmetry and the emergence of a Fermi surface comprised of isolated points as we cool the system through the superfluid phase transition. The dual gravitational description is two coincident probe D5-branes in AdS5 x S5 with non-trivial worldvolume SU(2) gauge fields. We extract spectral functions from solutions of the linearized equations of motion for the D5-branes' worldvolume fermions, which couple to one another through the worldvolume gauge field. We develop an efficient method to compute retarded Green's functions from a system of coupled bulk fermions. We also perform the holographic renormalization of free bulk fermions in any asymptotically Euclidean AdS space.

5.703962

5.45763

6.275922

5.683079

5.786633

5.606687

5.647569

5.58483

5.651156

7.303603

5.573807

5.39064

5.687015

5.51939

5.34341

5.457732

5.345058

5.419484

5.572622

5.917878

5.480193

hep-th/9309036

J. A. de Azcarraga

J. A. de Azc\'arraga, P. P. Kulish, and F. R\'odenas

Reflection equations and q-Minkowski space algebras

10 pages

Lett.Math.Phys. 32 (1994) 173-182

10.1007/BF00750660

FTUV 93-36

hep-th math.QA

null

We express the defining relations of the $q$-deformed Minkowski space algebra as well as that of the corresponding derivatives and differentials in the form of reflection equations. This formulation encompasses the covariance properties with respect the quantum Lorentz group action in a straightforward way.

[ { "created": "Tue, 7 Sep 1993 10:22:00 GMT", "version": "v1" } ]

2009-10-22

[ [ "de Azcárraga", "J. A.", "" ], [ "Kulish", "P. P.", "" ], [ "Ródenas", "F.", "" ] ]

We express the defining relations of the $q$-deformed Minkowski space algebra as well as that of the corresponding derivatives and differentials in the form of reflection equations. This formulation encompasses the covariance properties with respect the quantum Lorentz group action in a straightforward way.

14.892821

11.88393

12.838497

11.859167

11.883942

9.932063

11.002159

12.226464

11.982229

14.899395

11.260201

11.966604

12.51657

12.66923

11.934978

12.761594

11.458679

12.433137

12.050444

12.904264

12.123981

1911.10865

Sabyasachi Maulik

Sabyasachi Maulik and Harvendra Singh

Holographic entanglement entropy for $Lif_4^{(2)}\times {S}^1\times S^5$ spacetime with string excitations

22 pages, 5 figures; accepted for publication in Phys. Rev. D

Phys. Rev. D 103, 066003 (2021)

10.1103/PhysRevD.103.066003

null

hep-th

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

The (F1,D2,D8) brane configuration with $Lif_4^{(2)}\times {S}^1\times S^5$ geometry is a known Lifshitz vacua supported by massive $B_{\mu\nu}$ field in type IIA theory. This system allows exact IR excitations which couple to massless modes of the fundamental string. Due to these massless modes the solutions have a flow to a dilatonic $Lif_4^{(3)}\times S^1\times S^5$ vacua in IR. We study the entanglement entropy on the boundary of this spacetime for the strip and the disc subsystems. To our surprise net entropy density of the excitations at first order is found to be independent of the typical size of subsystems. We interpret our results in the light of first law of entanglement thermodynamics.

[ { "created": "Mon, 25 Nov 2019 12:31:38 GMT", "version": "v1" }, { "created": "Fri, 6 Dec 2019 06:01:25 GMT", "version": "v2" }, { "created": "Wed, 7 Oct 2020 14:10:40 GMT", "version": "v3" }, { "created": "Wed, 3 Mar 2021 06:25:44 GMT", "version": "v4" } ]

2021-03-04

[ [ "Maulik", "Sabyasachi", "" ], [ "Singh", "Harvendra", "" ] ]

The (F1,D2,D8) brane configuration with $Lif_4^{(2)}\times {S}^1\times S^5$ geometry is a known Lifshitz vacua supported by massive $B_{\mu\nu}$ field in type IIA theory. This system allows exact IR excitations which couple to massless modes of the fundamental string. Due to these massless modes the solutions have a flow to a dilatonic $Lif_4^{(3)}\times S^1\times S^5$ vacua in IR. We study the entanglement entropy on the boundary of this spacetime for the strip and the disc subsystems. To our surprise net entropy density of the excitations at first order is found to be independent of the typical size of subsystems. We interpret our results in the light of first law of entanglement thermodynamics.

11.899879

12.032529

13.199126

11.398826

11.092117

11.932243

11.741121

10.479016

11.820652

13.898695

10.820506

10.61634

11.495226

10.775266

11.031233

10.625719

10.606756

10.844489

11.139957

11.800867

10.793722

hep-th/9706122

Bert Schellekens

E. Rabinovici and A.N. Schellekens

On the classification of (2,1) heterotic strings

Phyzzx and Tables macro packages required

Phys.Lett. B414 (1997) 65-70

10.1016/S0370-2693(97)01156-8

NIKHEF 97-023

hep-th

null

We classify all untwisted (2,1) heterotic strings. The only solutions are the three already known cases, having massless spectra consisting either of 24 chiral fermions, or of 24 bosons, or of 8 scalars and 8 fermions of each chirality.

[ { "created": "Mon, 16 Jun 1997 20:27:31 GMT", "version": "v1" } ]

2009-10-30

[ [ "Rabinovici", "E.", "" ], [ "Schellekens", "A. N.", "" ] ]

We classify all untwisted (2,1) heterotic strings. The only solutions are the three already known cases, having massless spectra consisting either of 24 chiral fermions, or of 24 bosons, or of 8 scalars and 8 fermions of each chirality.

11.025162

8.444144

11.685887

9.319723

9.82386

9.040342

8.65937

8.036498

9.394677

13.603816

8.777041

9.74593

10.852843

9.880507

9.702922

9.459234

9.664392

9.946754

10.174456

11.198038

9.961631

1708.03192

Mario Rocca

D. G. Barci, C. G. Bollini, M. C. Rocca

The Tachyon Propagator

10 pages. No figures. Title corrected

Il Nuovo Cimento A, vol.106, p.603 (1993)

10.1007/BF02787229

null

hep-th

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

Following the canonical quantization procedure for a tachyon field, the usual Hamiltonian and the creation and annihilation operators are obtained. The observation that the mass hyperboloid $p^2-m^2=0$ is one-sheeted, as opposed to the case of bradyons where $p^2+m^2=0$ is two-sheeted, leads to the construction of a base which is unbounded for negative as well as for positive energies. There is a zero-energy eigenfunction from which all other states can be constructed by repeated application of decreasing or increasing operators, within this Fock space the vacuum expectation value of the chronological product of field operators is shown to coincide with Cauchy's principal-value Green's function.

[ { "created": "Thu, 10 Aug 2017 12:54:22 GMT", "version": "v1" }, { "created": "Mon, 14 Aug 2017 11:18:53 GMT", "version": "v2" } ]

2017-08-16

[ [ "Barci", "D. G.", "" ], [ "Bollini", "C. G.", "" ], [ "Rocca", "M. C.", "" ] ]

Following the canonical quantization procedure for a tachyon field, the usual Hamiltonian and the creation and annihilation operators are obtained. The observation that the mass hyperboloid $p^2-m^2=0$ is one-sheeted, as opposed to the case of bradyons where $p^2+m^2=0$ is two-sheeted, leads to the construction of a base which is unbounded for negative as well as for positive energies. There is a zero-energy eigenfunction from which all other states can be constructed by repeated application of decreasing or increasing operators, within this Fock space the vacuum expectation value of the chronological product of field operators is shown to coincide with Cauchy's principal-value Green's function.

8.717864

10.035772

9.406159

9.300702

9.526716

9.559464

9.989032

9.527411

8.988121

10.339338

9.456603

8.876049

8.699029

8.612006

8.670535

9.222269

8.680415

8.5357

8.658058

8.874136

8.702736

hep-th/9704199

Hyung Won Lee

H.W. Lee, Y.S. Myung(Inje Univ.) and Jin Young Kim (Dongseo Univ.)

Absorption of fixed scalar in scattering off 4D N=4 black holes

11 pages in RevTeX, no figures, minor correction is included(third version)

Phys.Lett. B410 (1997) 6-12

10.1016/S0370-2693(97)00794-6

INJE-TP-97-2

hep-th

null

We perform the perturbation analysis of the black holes in the 4D, N=4 supergravity. Analysis around the black holes reveals a complicated mixing between the dilaton and other fields (metric and two U(1) Maxwell fields). It turns out that considering both s-wave (l=0) and higher momentum modes (l \neq 0), the dilaton as a fixed scalar is the only propagating mode with $P=Q, h_1=h_2=0$ and $F = -G = 2\phi$. We calculate the absorption cross-section for scattering of low frequency waves of fixed scalar and U(1) Maxwell fields off the extremal black hole.

[ { "created": "Tue, 29 Apr 1997 04:04:50 GMT", "version": "v1" }, { "created": "Sat, 10 May 1997 03:44:41 GMT", "version": "v2" }, { "created": "Mon, 2 Jun 1997 06:04:37 GMT", "version": "v3" } ]

2009-10-30

[ [ "Lee", "H. W.", "", "Inje Univ." ], [ "Myung", "Y. S.", "", "Inje Univ." ], [ "Kim", "Jin Young", "", "Dongseo Univ." ] ]

We perform the perturbation analysis of the black holes in the 4D, N=4 supergravity. Analysis around the black holes reveals a complicated mixing between the dilaton and other fields (metric and two U(1) Maxwell fields). It turns out that considering both s-wave (l=0) and higher momentum modes (l \neq 0), the dilaton as a fixed scalar is the only propagating mode with $P=Q, h_1=h_2=0$ and $F = -G = 2\phi$. We calculate the absorption cross-section for scattering of low frequency waves of fixed scalar and U(1) Maxwell fields off the extremal black hole.

13.753257

13.137297

13.66765

12.463832

13.235261

13.877854

13.055656

12.862491

12.574315

14.343922

12.462691

13.227507

13.766124

13.873427

13.142938

13.577908

13.292239

12.702413

13.053627

14.08874

12.884343

hep-th/0512195

Saharian

A. R. Mkrtchyan, L. Sh. Grigoryan, A. A. Saharian, V. V. Parazian

Photoproduction of electron-positron pairs in the presence of hyperacoustic oscillations

6 pages, 6 figures, talk presented at the First International Congress of Armenian Physicists, 11-15 September, 2005, Yerevan, Armenia

null

hep-th

null

We report on the recent progress in the investigation of the influence of hyperacoustic vibrations on the coherent electron-positron pair creation by high-energy photons in crystals. In dependence of the values for the parameters, the presence of the deformation field can either enhance or reduce the cross-section. This can be used to control the parameters of the positron sources for storage rings and colliders.

[ { "created": "Thu, 15 Dec 2005 20:11:08 GMT", "version": "v1" } ]

2007-05-23

[ [ "Mkrtchyan", "A. R.", "" ], [ "Grigoryan", "L. Sh.", "" ], [ "Saharian", "A. A.", "" ], [ "Parazian", "V. V.", "" ] ]

We report on the recent progress in the investigation of the influence of hyperacoustic vibrations on the coherent electron-positron pair creation by high-energy photons in crystals. In dependence of the values for the parameters, the presence of the deformation field can either enhance or reduce the cross-section. This can be used to control the parameters of the positron sources for storage rings and colliders.

12.767658

9.84443

10.530622

9.801144

10.320771

10.474444

9.587589

10.479049

9.92393

10.988299

10.094185

12.234089

11.549649

10.804233

11.504155

12.558113

11.185086

11.873576

11.012403

10.91105

12.328416

0711.3745

Sannino Francesco

Thomas A. Ryttov (CERN and NBI) and Francesco Sannino (University of Southern Denmark and NBI)

Supersymmetry Inspired QCD Beta Function

17 pages and 3 figures. References Added

Phys.Rev.D78:065001,2008

10.1103/PhysRevD.78.065001

CERN-PH-TH/2007-231

hep-th hep-lat hep-ph

null

We propose an all orders beta function for ordinary Yang-Mills theories with or without fermions inspired by the Novikov-Shifman-Vainshtein-Zakharov beta function of N=1 supersymmetric gauge theories. The beta function allows us to bound the conformal window. When restricting to one adjoint Weyl fermion we show how the proposed beta function matches the one of supersymmetric Yang-Mills theory. The running of the pure Yang-Mills coupling is computed and the deviation from the two loop result is presented. We then compare the deviation with the one obtained from lattice data also with respect to the two loop running.

[ { "created": "Fri, 23 Nov 2007 14:46:29 GMT", "version": "v1" }, { "created": "Sun, 25 Nov 2007 16:45:10 GMT", "version": "v2" }, { "created": "Thu, 13 Dec 2007 16:00:51 GMT", "version": "v3" } ]

2008-11-07

[ [ "Ryttov", "Thomas A.", "", "CERN and NBI" ], [ "Sannino", "Francesco", "", "University of\n Southern Denmark and NBI" ] ]

We propose an all orders beta function for ordinary Yang-Mills theories with or without fermions inspired by the Novikov-Shifman-Vainshtein-Zakharov beta function of N=1 supersymmetric gauge theories. The beta function allows us to bound the conformal window. When restricting to one adjoint Weyl fermion we show how the proposed beta function matches the one of supersymmetric Yang-Mills theory. The running of the pure Yang-Mills coupling is computed and the deviation from the two loop result is presented. We then compare the deviation with the one obtained from lattice data also with respect to the two loop running.

7.854751

7.179762

7.796607

7.286826

7.572679

7.16907

6.80168

7.150829

7.385352

8.911475

7.170492

7.272961

8.08429

7.433324

7.193524

7.482449

7.604799

7.168548

7.313863

7.61651

7.465223

2307.13046

Aike Liu

Aike Liu and David Simmons-Duffin and Ning Su and Balt C. van Rees

Skydiving to Bootstrap Islands

null

hep-th math.OC

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

We study families of semidefinite programs (SDPs) that depend nonlinearly on a small number of "external" parameters. Such families appear universally in numerical bootstrap computations. The traditional method for finding an optimal point in parameter space works by first solving an SDP with fixed external parameters, then moving to a new point in parameter space and repeating the process. Instead, we unify solving the SDP and moving in parameter space in a single algorithm that we call "skydiving". We test skydiving on some representative problems in the conformal bootstrap, finding significant speedups compared to traditional methods.

[ { "created": "Mon, 24 Jul 2023 18:00:24 GMT", "version": "v1" } ]

2023-07-26

[ [ "Liu", "Aike", "" ], [ "Simmons-Duffin", "David", "" ], [ "Su", "Ning", "" ], [ "van Rees", "Balt C.", "" ] ]

We study families of semidefinite programs (SDPs) that depend nonlinearly on a small number of "external" parameters. Such families appear universally in numerical bootstrap computations. The traditional method for finding an optimal point in parameter space works by first solving an SDP with fixed external parameters, then moving to a new point in parameter space and repeating the process. Instead, we unify solving the SDP and moving in parameter space in a single algorithm that we call "skydiving". We test skydiving on some representative problems in the conformal bootstrap, finding significant speedups compared to traditional methods.

9.222977

8.144982

9.857798

8.122108

8.49093

8.809279

9.181946

8.064458

7.996652

9.140003

8.681395

8.268637

8.513634

7.829947

7.822099

7.623472

7.97616

7.995616

7.860189

8.697087

8.460265

1907.01944

Michael McGuigan

Dark Horse, Dark Matter: Revisiting the SO(16)x SO(16)' Nonsupersymmetric Model in the LHC and Dark Energy Era

null

hep-th

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

We revisit the nonsupersymmetric SO(16)x SO(16)' model in light of LHC and Dark Energy data. Recently nonsupersymmetric models have become of great interest because the LHC has not found evidence of supersymmetry. In addition nonsupersymmetric models with a single Higgs-like field and small one loop vacuum energy have been constructed. Also models of dark energy with a dilaton-radion potential have also been recently examined in the light of dark energy data and the swampland conjecture. In this paper some of the features of the nonsupersymmetric SO(16)x SO(16)' model with regards to high energy physics and cosmology such as dark energy, vacuum stablilization, dark matter candidates, dark matter portals, gauge-Higgs unification, and quantum cosmology are examined in the context of the LHC and dark energy era.

[ { "created": "Wed, 3 Jul 2019 13:47:55 GMT", "version": "v1" } ]

2019-07-04

[ [ "McGuigan", "Michael", "" ] ]

We revisit the nonsupersymmetric SO(16)x SO(16)' model in light of LHC and Dark Energy data. Recently nonsupersymmetric models have become of great interest because the LHC has not found evidence of supersymmetry. In addition nonsupersymmetric models with a single Higgs-like field and small one loop vacuum energy have been constructed. Also models of dark energy with a dilaton-radion potential have also been recently examined in the light of dark energy data and the swampland conjecture. In this paper some of the features of the nonsupersymmetric SO(16)x SO(16)' model with regards to high energy physics and cosmology such as dark energy, vacuum stablilization, dark matter candidates, dark matter portals, gauge-Higgs unification, and quantum cosmology are examined in the context of the LHC and dark energy era.

9.046727

10.354465

9.298139

8.713764

9.315241

9.905542

9.76007

9.520924

8.57968

10.068858

9.168364

9.043227

9.005133

8.535345

8.795979

8.913743

9.218375

8.873834

8.990667

9.008484

8.773805

hep-th/9310172

null

Asim Gangopadhyaya, Prasanta K. Panigrahi, and Uday P. Sukhatme

Inter-Relations of Solvable Potentials

6 pages, LATEX file. A figure available from authors on request

Helv. Phys. Acta 67 (1994) 363-368

null

hep-th

null

Solvable Natanzon potentials in nonrelativistic quantum mechanics are known to group into two disjoint classes depending on whether the Schr\"odinger equation can be reduced to a hypergeometric or a confluent hypergeometric equation. All the potentials within each class are connected via point canonical transformations. We establish a connection between the two classes with appropriate limiting procedures and redefinition of parameters, thereby inter-relating all known solvable potentials.

[ { "created": "Tue, 26 Oct 1993 18:41:07 GMT", "version": "v1" } ]

2009-09-25

[ [ "Gangopadhyaya", "Asim", "" ], [ "Panigrahi", "Prasanta K.", "" ], [ "Sukhatme", "Uday P.", "" ] ]

Solvable Natanzon potentials in nonrelativistic quantum mechanics are known to group into two disjoint classes depending on whether the Schr\"odinger equation can be reduced to a hypergeometric or a confluent hypergeometric equation. All the potentials within each class are connected via point canonical transformations. We establish a connection between the two classes with appropriate limiting procedures and redefinition of parameters, thereby inter-relating all known solvable potentials.

9.541953

8.115169

10.109211

7.708313

8.471324

8.122853

7.987797

8.2069

8.088579

10.314591

7.644424

7.685103

8.460757

7.573244

7.92908

7.779119

7.49348

7.893814

7.62974

8.567616

7.65884

2311.01109

Dmitry Kazakov

D. I. Kazakov

How one can obtain unambiguous predictions for the S-matrix in non-renormalizable theories

PDFLatex 13 pages, 4 figures

null

hep-th

http://creativecommons.org/publicdomain/zero/1.0/

The usual Bogolyubov R-operation works in non-renormalizable theories in the same way as in renormalizable ones. However, in the non-renormalizable case, the counter-terms eliminating ultraviolet divergences do not repeat the structure of the original Lagrangian but contain new terms with a higher degree of fields and derivatives increasing from order to order of PT. If one does not aim to obtain finite off-shell Green functions but limits oneself only to the finiteness of the S-matrix, then one can use the equations of motion and drastically reduce the number of independent counter-terms. For example, it is possible to reduce all counter-terms to a form containing only operators with four fields and an arbitrary number of derivatives. And although there will still be infinitely many such counter-terms, in order to fix the arbitrariness of the subtraction procedure, one can normalize the on-shell 4-point amplitude, which must be known for arbitrary kinematics, plus the 6-point amplitude at one point. All other multiparticle amplitudes will be calculated unambiguously. Within the framework of perturbation theory, the number of independent counter-terms in a given order is limited, so does the number of normalization conditions. The constructed counter-terms are not absorbed into the normalization of a single coupling constant, the Lagrangian contains an infinite number of terms, but after fixing the arbitrariness, it allows one to obtain unambiguous predictions for observables.

[ { "created": "Thu, 2 Nov 2023 09:26:17 GMT", "version": "v1" } ]

2023-11-03

[ [ "Kazakov", "D. I.", "" ] ]

The usual Bogolyubov R-operation works in non-renormalizable theories in the same way as in renormalizable ones. However, in the non-renormalizable case, the counter-terms eliminating ultraviolet divergences do not repeat the structure of the original Lagrangian but contain new terms with a higher degree of fields and derivatives increasing from order to order of PT. If one does not aim to obtain finite off-shell Green functions but limits oneself only to the finiteness of the S-matrix, then one can use the equations of motion and drastically reduce the number of independent counter-terms. For example, it is possible to reduce all counter-terms to a form containing only operators with four fields and an arbitrary number of derivatives. And although there will still be infinitely many such counter-terms, in order to fix the arbitrariness of the subtraction procedure, one can normalize the on-shell 4-point amplitude, which must be known for arbitrary kinematics, plus the 6-point amplitude at one point. All other multiparticle amplitudes will be calculated unambiguously. Within the framework of perturbation theory, the number of independent counter-terms in a given order is limited, so does the number of normalization conditions. The constructed counter-terms are not absorbed into the normalization of a single coupling constant, the Lagrangian contains an infinite number of terms, but after fixing the arbitrariness, it allows one to obtain unambiguous predictions for observables.

8.521076

8.468471

8.905414

8.222844

8.719242

9.324653

8.560971

8.933742

8.632721

9.211723

8.217505

8.68874

8.307418

8.30541

8.678131

8.332198

8.503247

8.420844

8.510865

8.418817

8.35278

hep-th/9707024

Park daegil

D.K.Park and Sahng-Kyoon Yoo

Propagator for spinless and spin-1/2 Aharonov-Bohm-Coulomb systems

Slightly changed, to appear in Annals of Physics. 18 pages, Latex

Annals Phys. 263 (1998) 295-309

10.1006/aphy.1997.5757

null

hep-th

null

The propagator of the spinless Aharonov-Bohm-Coulomb system is derived by following the Duru-Kleinert method. We use this propagator to explore the spin-1/2 Aharonov-Bohm-Coulomb system which contains a point interaction as a Zeeman term. Incorporation of the self-adjoint extension method into the Green's function formalism properly allows us to derive the finite propagator of the spin-1/2 Aharonov-Bohm-Coulomb system. As a by-product, the relation between the self-adjoint extension parameter and the bare coupling constant is obtained. Bound-state energy spectra of both spinless and spin-1/2 Aharonov-Bohm-Coulomb systems are examined.

[ { "created": "Wed, 2 Jul 1997 05:13:44 GMT", "version": "v1" }, { "created": "Sat, 1 Nov 1997 04:48:41 GMT", "version": "v2" } ]

2009-10-30

[ [ "Park", "D. K.", "" ], [ "Yoo", "Sahng-Kyoon", "" ] ]

The propagator of the spinless Aharonov-Bohm-Coulomb system is derived by following the Duru-Kleinert method. We use this propagator to explore the spin-1/2 Aharonov-Bohm-Coulomb system which contains a point interaction as a Zeeman term. Incorporation of the self-adjoint extension method into the Green's function formalism properly allows us to derive the finite propagator of the spin-1/2 Aharonov-Bohm-Coulomb system. As a by-product, the relation between the self-adjoint extension parameter and the bare coupling constant is obtained. Bound-state energy spectra of both spinless and spin-1/2 Aharonov-Bohm-Coulomb systems are examined.

5.211483

4.732055

5.478934

4.768915

5.089188

4.620986

4.90642

4.582985

4.712633

5.427632

5.034824

4.734547

5.005435

4.869349

4.797463

4.864955

4.855265

4.880593

4.87386

5.172956

4.815003

1904.06030

Snigdh Sabharwal

Snigdh Sabharwal and Jan Willem Dalhuisen

Anti-Self-Dual Spacetimes, Gravitational Instantons and Knotted Zeros of the Weyl Tensor

14 pages, 3 figures

null

10.1007/JHEP07(2019)004

null

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

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

We derive a superpotential for null electromagnetic fields in which the field line structure is in the form of an arbitrary torus knot. These fields are shown to correspond to single copies of a class of anti-self-dual Kerr-Schild spacetimes containing the Sparling-Tod metric. This metric is the pure Weyl double copy of the electromagnetic Hopfion, and we show that the Eguchi-Hanson metric is a mixed Weyl double copy of this Hopfion and its conformally inverted state. We formulate two conditions for electromagnetic fields, generalizing torus knotted fields and linked optical vortices, that, via the zero rest mass equation for spin 1 and spin 2, defines solutions of linearized Einstein's equation possessing a Hopf fibration as the curves along which no stretching, compression or precession will occur. We report on numerical findings relating the stability of the linked and knotted zeros of the Weyl tensor and their relation to linked optical vortices.

[ { "created": "Fri, 12 Apr 2019 04:52:21 GMT", "version": "v1" }, { "created": "Sun, 21 Apr 2019 17:19:54 GMT", "version": "v2" }, { "created": "Fri, 26 Apr 2019 00:24:45 GMT", "version": "v3" } ]

2019-07-15

[ [ "Sabharwal", "Snigdh", "" ], [ "Dalhuisen", "Jan Willem", "" ] ]

We derive a superpotential for null electromagnetic fields in which the field line structure is in the form of an arbitrary torus knot. These fields are shown to correspond to single copies of a class of anti-self-dual Kerr-Schild spacetimes containing the Sparling-Tod metric. This metric is the pure Weyl double copy of the electromagnetic Hopfion, and we show that the Eguchi-Hanson metric is a mixed Weyl double copy of this Hopfion and its conformally inverted state. We formulate two conditions for electromagnetic fields, generalizing torus knotted fields and linked optical vortices, that, via the zero rest mass equation for spin 1 and spin 2, defines solutions of linearized Einstein's equation possessing a Hopf fibration as the curves along which no stretching, compression or precession will occur. We report on numerical findings relating the stability of the linked and knotted zeros of the Weyl tensor and their relation to linked optical vortices.

17.586355

19.975002

18.068823

18.040451

18.645838

18.561148

22.159105

17.410223

19.641867

19.585751

17.499893

18.055998

17.079443

17.458666

17.245621

17.200258

17.810177

17.468824

18.185659

17.36252

17.796568

1101.0724

A. Yu. Petrov

F. S. Gama, M. Gomes, J. R. Nascimento, A. Yu. Petrov, A. J. da Silva

On the higher-derivative supersymmetric gauge theory

9 pages

Phys.Rev.D84:045001,2011

10.1103/PhysRevD.84.045001

null

hep-th

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

We study the one-loop low-energy effective action for the higher-derivative superfield gauge theory coupled to a chiral matter.

[ { "created": "Tue, 4 Jan 2011 14:27:49 GMT", "version": "v1" } ]

2011-08-12

[ [ "Gama", "F. S.", "" ], [ "Gomes", "M.", "" ], [ "Nascimento", "J. R.", "" ], [ "Petrov", "A. Yu.", "" ], [ "da Silva", "A. J.", "" ] ]

We study the one-loop low-energy effective action for the higher-derivative superfield gauge theory coupled to a chiral matter.

12.333158

6.188154

10.189274

7.312939

8.111696

7.246346

6.689744

6.947522

8.200367

13.550819

7.259148

8.923613

11.31339

9.224292

8.631713

9.358846

8.546152

8.875351

8.767705

10.791978

8.620953

2303.13280

Yun-Da Zhang

Song He, Yi Li, Yun-Ze Li and Yunda Zhang

Holographic torus correlators of stress tensor in $AdS_3/CFT_2$

12 pages

null

10.1007/JHEP06(2023)116

null

hep-th gr-qc

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

In the context of $\rm AdS_3/CFT_2$, we investigate holographic correlators of the stress tensor of a conformal field theory (CFT) on a torus in this work. To calculate the correlators of the stress tensor, we employ the Einstein-Hilbert theory of gravity and perturbatively solve Einstein's equation in the bulk. We offer an explicit prescription to develop a recurrence relation that makes it simple to compute higher point correlators. The correlators and the recurrence relation are found to be consistent with what is known in CFTs. Following the spirit of the proposed cutoff $\rm AdS$/$T\bar{T}$ CFT holography, we then expand our computation program to investigate holographic torus correlators at a finite cutoff in the $\rm AdS_3$. A parallel recurrence relation associated with higher point correlators can be obtained.

[ { "created": "Thu, 23 Mar 2023 14:02:23 GMT", "version": "v1" } ]

2023-07-05

[ [ "He", "Song", "" ], [ "Li", "Yi", "" ], [ "Li", "Yun-Ze", "" ], [ "Zhang", "Yunda", "" ] ]

In the context of $\rm AdS_3/CFT_2$, we investigate holographic correlators of the stress tensor of a conformal field theory (CFT) on a torus in this work. To calculate the correlators of the stress tensor, we employ the Einstein-Hilbert theory of gravity and perturbatively solve Einstein's equation in the bulk. We offer an explicit prescription to develop a recurrence relation that makes it simple to compute higher point correlators. The correlators and the recurrence relation are found to be consistent with what is known in CFTs. Following the spirit of the proposed cutoff $\rm AdS$/$T\bar{T}$ CFT holography, we then expand our computation program to investigate holographic torus correlators at a finite cutoff in the $\rm AdS_3$. A parallel recurrence relation associated with higher point correlators can be obtained.

9.382793

8.320252

10.076437

8.621243

9.106894

8.424375

9.002717

8.675589

8.419391

10.744879

8.549243

8.290902

9.58443

8.808086

8.792411

8.913213

8.624849

8.471251

8.801815

9.4323

8.533442

2104.05291

Seyyed Halataei

Seyyed M.H. Halataei

On eigenstate thermalization in the SYK chain model

28 pages, 7 figures

null

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

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

Eigenstate thermalization hypothesis (ETH) explains how generic observables of individual isolated quantum systems in pure states can exhibit thermal behaviors. ETH ansatz usually holds true in quantum chaotic systems. In this paper, we examine a one-dimensional lattice generalization of the Sachdev-Ye-Kitaev model with spatial local random interaction of Majorana fermions, the so-called SYK chain model. The model is maximally chaotic but its R\'enyi entanglement entropy study suggests that the model does not rapidly thermalize. We show, however, that for two conventional few-body operators, the ensemble-averaged theory of the SYK chain model strictly satisfies ETH conditions. We also demonstrate that for every single realization of the ensemble, the operators loosely satisfy ETH, and consequently rapidly thermalize, albeit, with larger fluctuations. We comment on the difference between the application of ETH for individual systems and ensemble-averaged ones. We also use our results to comment on the implications for eigenstate correlation functions and a putative gravitational dual theory.

[ { "created": "Mon, 12 Apr 2021 08:50:24 GMT", "version": "v1" } ]

2021-04-13

[ [ "Halataei", "Seyyed M. H.", "" ] ]

Eigenstate thermalization hypothesis (ETH) explains how generic observables of individual isolated quantum systems in pure states can exhibit thermal behaviors. ETH ansatz usually holds true in quantum chaotic systems. In this paper, we examine a one-dimensional lattice generalization of the Sachdev-Ye-Kitaev model with spatial local random interaction of Majorana fermions, the so-called SYK chain model. The model is maximally chaotic but its R\'enyi entanglement entropy study suggests that the model does not rapidly thermalize. We show, however, that for two conventional few-body operators, the ensemble-averaged theory of the SYK chain model strictly satisfies ETH conditions. We also demonstrate that for every single realization of the ensemble, the operators loosely satisfy ETH, and consequently rapidly thermalize, albeit, with larger fluctuations. We comment on the difference between the application of ETH for individual systems and ensemble-averaged ones. We also use our results to comment on the implications for eigenstate correlation functions and a putative gravitational dual theory.

11.406022

12.366819

13.287389

11.072637

12.270338

12.647639

12.166533

11.518782

11.589483

13.85949

11.624467

11.422551

11.783405

10.910529

11.00947

11.519825

11.136786

11.186798

11.190364

11.698323

11.279877

1307.5043

Timothy Adamo

Tim Adamo, Lionel Mason

Conformal and Einstein gravity from twistor actions

53 pages, 7 figures. v2: typos corrected, references updated

Class.Quant.Grav. 31: 045014, 2014

10.1088/0264-9381/31/4/045014

IHES/P/13/13

hep-th gr-qc

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

We use the embedding of Einstein gravity with cosmological constant into conformal gravity as a basis for using the twistor action for conformal gravity to obtain MHV scattering amplitudes not just for conformal gravity, but also for Einstein gravity on backgrounds with non-zero cosmological constant. The new formulae for the gravitational MHV amplitude with cosmological constant arise by summing Feynman diagrams using the matrix-tree theorem. We show that this formula is well-defined (i.e., is independent of certain gauge choices) and that it non-trivially reproduces Hodges' formula for the MHV amplitude in the flat-space limit. We give a preliminary discussion of a MHV formalism for more general amplitudes obtained from the conformal gravity twistor action in an axial gauge. We also see that the embedding of Einstein data into the conformal gravity action can be performed off-shell in twistor space to give a proposal for an Einstein twistor action that automatically gives the same MHV amplitude. These ideas extend naturally to N=4 supersymmetry.

[ { "created": "Thu, 18 Jul 2013 18:51:30 GMT", "version": "v1" }, { "created": "Fri, 31 Jan 2014 10:24:26 GMT", "version": "v2" } ]

2015-06-16

[ [ "Adamo", "Tim", "" ], [ "Mason", "Lionel", "" ] ]

We use the embedding of Einstein gravity with cosmological constant into conformal gravity as a basis for using the twistor action for conformal gravity to obtain MHV scattering amplitudes not just for conformal gravity, but also for Einstein gravity on backgrounds with non-zero cosmological constant. The new formulae for the gravitational MHV amplitude with cosmological constant arise by summing Feynman diagrams using the matrix-tree theorem. We show that this formula is well-defined (i.e., is independent of certain gauge choices) and that it non-trivially reproduces Hodges' formula for the MHV amplitude in the flat-space limit. We give a preliminary discussion of a MHV formalism for more general amplitudes obtained from the conformal gravity twistor action in an axial gauge. We also see that the embedding of Einstein data into the conformal gravity action can be performed off-shell in twistor space to give a proposal for an Einstein twistor action that automatically gives the same MHV amplitude. These ideas extend naturally to N=4 supersymmetry.

8.88873

8.914415

10.17496

8.809303

8.986433

8.47489

8.759208

8.683665

8.523067

10.139969

8.382963

8.834398

8.909158

8.508068

8.822377

8.882063

8.856522

8.821641

8.611962

8.590487

8.628793

2105.05775

Jos\'e M. Figueroa-O'Farrill

Andrew Beckett and Jos\'e Figueroa-O'Farrill

Killing superalgebras for lorentzian five-manifolds

29 pages; LaTex errors on pages 26 and 27 fixed in v2. v3 final version to appear in JHEP

JHEP 07 (2021) 209

10.1007/JHEP07(2021)209

EMPG-21-06

hep-th math.DG math.RT

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

We calculate the relevant Spencer cohomology of the minimal Poincar\'e superalgebra in 5 spacetime dimensions and use it to define Killing spinors via a connection on the spinor bundle of a 5-dimensional lorentzian spin manifold. We give a definition of bosonic backgrounds in terms of this data. By imposing constraints on the curvature of the spinor connection, we recover the field equations of minimal (ungauged) 5-dimensional supergravity, but also find a set of field equations for an $\mathfrak{sp}(1)$-valued one-form which we interpret as the bosonic data of a class of rigid supersymmetric theories on curved backgrounds. We define the Killing superalgebra of bosonic backgrounds and show that their existence is implied by the field equations. The maximally supersymmetric backgrounds are characterised and their Killing superalgebras are explicitly described as filtered deformations of the Poincar\'e superalgebra.

[ { "created": "Wed, 12 May 2021 16:43:52 GMT", "version": "v1" }, { "created": "Thu, 13 May 2021 15:00:27 GMT", "version": "v2" }, { "created": "Tue, 6 Jul 2021 16:38:16 GMT", "version": "v3" } ]

2022-08-17

[ [ "Beckett", "Andrew", "" ], [ "Figueroa-O'Farrill", "José", "" ] ]

We calculate the relevant Spencer cohomology of the minimal Poincar\'e superalgebra in 5 spacetime dimensions and use it to define Killing spinors via a connection on the spinor bundle of a 5-dimensional lorentzian spin manifold. We give a definition of bosonic backgrounds in terms of this data. By imposing constraints on the curvature of the spinor connection, we recover the field equations of minimal (ungauged) 5-dimensional supergravity, but also find a set of field equations for an $\mathfrak{sp}(1)$-valued one-form which we interpret as the bosonic data of a class of rigid supersymmetric theories on curved backgrounds. We define the Killing superalgebra of bosonic backgrounds and show that their existence is implied by the field equations. The maximally supersymmetric backgrounds are characterised and their Killing superalgebras are explicitly described as filtered deformations of the Poincar\'e superalgebra.

6.566563

6.206942

7.492664

6.288838

6.248014

6.329697

6.716505

6.551824

6.491198

7.527472

6.279396

6.420348

6.336735

6.269433

6.223283

6.407716

6.537189

6.296927

6.21609

6.470281

6.526446

1212.3485

Plamen Bozhilov

Leading finite-size effects on some three-point correlators in AdS_5 x S^5

19 pages, no figures; v2:references added; v3:references added; v4:explanations added, presentation improved, to appear in Phys. Rev. D

null

10.1103/PhysRevD.87.066003

null

hep-th

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

In the framework of the semiclassical approach, we find the leading finite-size effects on the normalized structure constants in some three-point correlation functions in AdS_5 x S^5, expressed in terms of the conserved string angular momenta J_1, J_2, and the worldsheet momentum p_w, identified with the momentum p of the magnon excitations in the dual spin-chain arising in N=4 SYM in four dimensions.

[ { "created": "Fri, 14 Dec 2012 14:39:50 GMT", "version": "v1" }, { "created": "Thu, 20 Dec 2012 16:28:07 GMT", "version": "v2" }, { "created": "Sat, 22 Dec 2012 16:39:31 GMT", "version": "v3" }, { "created": "Thu, 21 Feb 2013 08:24:20 GMT", "version": "v4" } ]

2013-03-27

[ [ "Bozhilov", "Plamen", "" ] ]

In the framework of the semiclassical approach, we find the leading finite-size effects on the normalized structure constants in some three-point correlation functions in AdS_5 x S^5, expressed in terms of the conserved string angular momenta J_1, J_2, and the worldsheet momentum p_w, identified with the momentum p of the magnon excitations in the dual spin-chain arising in N=4 SYM in four dimensions.

11.787388

9.733722

12.43087

9.496979

10.06293

11.20554

10.353597

9.014405

8.878632

14.024018

8.811308

9.066461

10.51262

9.443586

9.1667

9.589644

9.400789

9.821403

9.461954

9.845924

9.653655

2105.01647

Dmitrii Trunin

Dmitrii A. Trunin

Particle creation in nonstationary large N quantum mechanics

14 pages + appendices, 4 figures. v4: minor corrections in section 4

Phys. Rev. D 104, 045001 (2021)

10.1103/PhysRevD.104.045001

null

hep-th gr-qc quant-ph

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

We consider an analog of particle production in a quartic $O(N)$ quantum oscillator with time-dependent frequency, which is a toy model of particle production in the dynamical Casimir effect and de Sitter space. We calculate exact quantum averages, Keldysh propagator, and particle number using two different methods. First, we employ a kind of rotating wave approximation to estimate these quantities for small deviations from stationarity. Second, we extend these results to arbitrarily large deviations using the Schwinger-Keldysh diagrammatic technique. We show that in strongly nonstationary situations, including resonant oscillations, loop corrections to the tree-level expressions effectively result in an additional degree of freedom, $N \to N + \frac{3}{2}$, which modifies the average number and energy of created particles.

[ { "created": "Tue, 4 May 2021 17:44:58 GMT", "version": "v1" }, { "created": "Tue, 29 Jun 2021 12:05:47 GMT", "version": "v2" }, { "created": "Wed, 21 Jul 2021 09:20:38 GMT", "version": "v3" }, { "created": "Thu, 5 Aug 2021 10:07:01 GMT", "version": "v4" } ]

2021-08-06

[ [ "Trunin", "Dmitrii A.", "" ] ]

We consider an analog of particle production in a quartic $O(N)$ quantum oscillator with time-dependent frequency, which is a toy model of particle production in the dynamical Casimir effect and de Sitter space. We calculate exact quantum averages, Keldysh propagator, and particle number using two different methods. First, we employ a kind of rotating wave approximation to estimate these quantities for small deviations from stationarity. Second, we extend these results to arbitrarily large deviations using the Schwinger-Keldysh diagrammatic technique. We show that in strongly nonstationary situations, including resonant oscillations, loop corrections to the tree-level expressions effectively result in an additional degree of freedom, $N \to N + \frac{3}{2}$, which modifies the average number and energy of created particles.

9.799686

8.950371

10.431515

8.747047

9.300968

9.38826

8.853612

8.723253

8.892516

10.310299

8.670969

9.027698

9.100086

8.849071

9.10752

9.149614

8.983744

9.212693

9.102013

9.408709

9.301584

1105.4497

Vidas Regelskis

The secret symmetries of the AdS/CFT reflection matrices

9 pages, v2: published version

JHEP 1108:006,2011

10.1007/JHEP08(2011)006

null

hep-th

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

We find new twisted Yangian symmetries of the AdS/CFT reflection matrices for the Y=0 maximal giant graviton and D5-brane. These new symmetries originate from the known secret symmetries of the Yangian symmetry of the AdS/CFT S-matrix.

[ { "created": "Mon, 23 May 2011 13:28:47 GMT", "version": "v1" }, { "created": "Sat, 27 Aug 2011 19:11:15 GMT", "version": "v2" } ]

2011-08-30

[ [ "Regelskis", "Vidas", "" ] ]

We find new twisted Yangian symmetries of the AdS/CFT reflection matrices for the Y=0 maximal giant graviton and D5-brane. These new symmetries originate from the known secret symmetries of the Yangian symmetry of the AdS/CFT S-matrix.

9.189883

6.25373

11.085529

6.476901

8.115018

6.238044

6.44754

6.896795

6.390742

9.52466

6.740095

7.582426

9.11593

7.359028

7.018424

6.987611

6.900258

6.877904

7.256352

9.014894

7.086745

0802.3920

Gonzalo Olmo

I.Agullo, J.Navarro-Salas, G.J. Olmo, L. Parker

Acceleration radiation and the Planck scale

1 figure, 9 pages

Phys.Rev.D77:104034,2008

10.1103/PhysRevD.77.104034

null

hep-th

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

A uniformly accelerating observer perceives the Minkowski vacuum state as a thermal bath of radiation. We point out that this field-theory effect can be derived, for any dimension higher than two, without actually invoking very high energy physics. This supports the view that this phenomenon is robust against Planck-scale physics and, therefore, should be compatible with any underlying microscopic theory.

[ { "created": "Wed, 27 Feb 2008 15:47:09 GMT", "version": "v1" } ]

2008-11-26

[ [ "Agullo", "I.", "" ], [ "Navarro-Salas", "J.", "" ], [ "Olmo", "G. J.", "" ], [ "Parker", "L.", "" ] ]

A uniformly accelerating observer perceives the Minkowski vacuum state as a thermal bath of radiation. We point out that this field-theory effect can be derived, for any dimension higher than two, without actually invoking very high energy physics. This supports the view that this phenomenon is robust against Planck-scale physics and, therefore, should be compatible with any underlying microscopic theory.

18.68623

14.535653

15.452291

12.153011

14.505326

13.890079

13.683908

11.735962

12.474882

17.995134

13.703758

13.140146

13.446212

13.41426

14.321496

12.817612

12.992996

12.568177

12.375169

12.714214

12.773243

1401.3873

Nobuyoshi Ohta

Taichiro Kugo and Nobuyoshi Ohta

Covariant Approach to the No-ghost Theorem in Massive Gravity

24 pages

null

10.1093/ptep/ptu046

MISC-2014-01, KU-TP 061

hep-th gr-qc

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

We discuss the no-ghost theorem in the massive gravity in a covariant manner. Using the BRST formalism and St\"{u}ckelberg fields, we first clarify how the Boulware-Deser ghost decouples in the massive gravity theory with Fierz-Pauli mass term. Here we find that the crucial point in the proof is that there is no higher (time) derivative for the St\"{u}ckelberg `scalar' field. We then analyze the nonlinear massive gravity proposed by de Rham, Gabadadze and Tolley, and show that there is no ghost for general admissible backgrounds. In this process, we find a very nontrivial decoupling limit for general backgrounds. We end the paper by demonstrating the general results explicitly in a nontrivial example where there apparently appear higher time derivatives for St\"{u}ckelberg scalar field, but show that this does not introduce the ghost into the theory.

[ { "created": "Thu, 16 Jan 2014 05:09:49 GMT", "version": "v1" } ]

2014-05-07

[ [ "Kugo", "Taichiro", "" ], [ "Ohta", "Nobuyoshi", "" ] ]

We discuss the no-ghost theorem in the massive gravity in a covariant manner. Using the BRST formalism and St\"{u}ckelberg fields, we first clarify how the Boulware-Deser ghost decouples in the massive gravity theory with Fierz-Pauli mass term. Here we find that the crucial point in the proof is that there is no higher (time) derivative for the St\"{u}ckelberg `scalar' field. We then analyze the nonlinear massive gravity proposed by de Rham, Gabadadze and Tolley, and show that there is no ghost for general admissible backgrounds. In this process, we find a very nontrivial decoupling limit for general backgrounds. We end the paper by demonstrating the general results explicitly in a nontrivial example where there apparently appear higher time derivatives for St\"{u}ckelberg scalar field, but show that this does not introduce the ghost into the theory.

7.145553

6.56896

7.1676

6.831922

6.952842

7.524057

7.648691

6.919751

6.900086

8.518256

6.974135

6.85854

7.082317

6.945918

6.942214

6.997474

7.02745

6.820539

7.218163

7.063766

6.865434

hep-th/9303025

null

Nathan Berkovits

A New Sigma Model Action for the Four-Dimensional Green-Schwarz Heterotic Superstring

9 pages plain Tex, KCL-TH-93-3

Phys.Lett.B304:249-255,1993

10.1016/0370-2693(93)90290-X

null

hep-th

null

The sigma model action described in this paper differs in four important features from the usual sigma model action for the four-dimensional Green-Schwarz heterotic superstring in a massless background. Firstly, the action is constructed on an N=(2,0) super-worldsheet using a Kahler potential and an Ogievetsky-Sokatchev constraint; secondly, the target-space background fields are unconstrained; thirdly, the target-space dilaton couples to the two-dimensional curvature; and fourthly, the action reduces in a flat background to a free-field action. A conjecture is made for generalizing this N=(2,0) sigma model action to the ten-dimensional Green-Schwarz heterotic superstring in a manner that preserves these four new features.

[ { "created": "Wed, 3 Mar 1993 16:18:00 GMT", "version": "v1" } ]

2011-07-19

[ [ "Berkovits", "Nathan", "" ] ]

The sigma model action described in this paper differs in four important features from the usual sigma model action for the four-dimensional Green-Schwarz heterotic superstring in a massless background. Firstly, the action is constructed on an N=(2,0) super-worldsheet using a Kahler potential and an Ogievetsky-Sokatchev constraint; secondly, the target-space background fields are unconstrained; thirdly, the target-space dilaton couples to the two-dimensional curvature; and fourthly, the action reduces in a flat background to a free-field action. A conjecture is made for generalizing this N=(2,0) sigma model action to the ten-dimensional Green-Schwarz heterotic superstring in a manner that preserves these four new features.

8.319777

7.687669

9.22206

7.811952

7.906053

7.552155

7.551348

8.031351

7.81413

9.972936

7.712474

8.314954

8.6059

7.819602

7.722723

7.844011

7.88078

8.194631

8.446713

8.951978

7.830014

hep-th/9903203

Robert C. Myers

Stress Tensors and Casimir Energies in the AdS/CFT Correspondence

20 pages, Latex

Phys. Rev. D 60, 046002 (1999)

10.1103/PhysRevD.60.046002

null

hep-th

null

We discuss various approaches to extracting the full stress-energy tensor of the conformal field theory from the corresponding supergravity solutions, within the framework of the Maldacena conjecture. This provides a more refined probe of the AdS/CFT correspondence. We apply these techniques in considering the Casimir energy of the conformal field theory on a torus. It seems that either generically the corresponding supergravity solutions are singular (i.e., involve regions of large string-scale curvatures), or that they are largely insensitive to the boundary conditions of the CFT on the torus.

[ { "created": "Tue, 23 Mar 1999 23:07:16 GMT", "version": "v1" } ]

2016-08-25

[ [ "Myers", "Robert C.", "" ] ]

We discuss various approaches to extracting the full stress-energy tensor of the conformal field theory from the corresponding supergravity solutions, within the framework of the Maldacena conjecture. This provides a more refined probe of the AdS/CFT correspondence. We apply these techniques in considering the Casimir energy of the conformal field theory on a torus. It seems that either generically the corresponding supergravity solutions are singular (i.e., involve regions of large string-scale curvatures), or that they are largely insensitive to the boundary conditions of the CFT on the torus.

9.023962

8.604484

9.307951

8.1927

8.243949

8.22349

8.324969

8.686265

8.479095

9.495029

8.288278

8.741296

8.861057

8.760064

8.450671

8.560317

8.465504

8.500949

8.605783

9.246185

8.407007

2407.03509

Alberto Lerda

M. Billo, M. Frau, A. Lerda, A. Pini, P. Vallarino

Integrated correlators in a $\mathcal{N}=2$ SYM theory with fundamental flavors: a matrix-model perspective

31 pages

null

HU-EP-24/21

hep-th

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

The D theory is a $\mathcal{N}=2$ conformal SYM theory in four dimensions with gauge group SU($N$), four matter hypermultiplets in the fundamental and two in the anti-symmetric representation, and a flavor symmetry that contains a U(4) factor. Its holographic dual is obtained via a combination of orbifold and orientifold projections from Type II B string theory on $\mathrm{AdS}_5 \times S^5$ and possesses a sector of open strings attached to D7 branes with U(4) Chan-Paton factors. The AdS Veneziano amplitude of the U(4) gluons is dual to four-point correlators of moment-map operators of the U(4) flavor symmetry in the D theory. An integrated version of these correlators is captured by a deformation of the D theory in which the fundamental hypermultiplets acquire a mass. The partition function of this massive theory can be evaluated with matrix-model techniques using localization. In this paper we analyze the matrix model of the mass-deformed D theory arising from localization using the so-called ``full Lie algebra'' approach in a $1/N$ expansion. In particular, we study the partition function and its mass derivatives up to $O(1/N^2)$ corrections obtaining exact expressions that are valid for all values of the 't Hooft coupling. We also analyze their behavior at strong coupling where our results produce useful constraints on the dual open string scattering amplitudes in AdS.

[ { "created": "Wed, 3 Jul 2024 21:13:06 GMT", "version": "v1" } ]

2024-07-08

[ [ "Billo", "M.", "" ], [ "Frau", "M.", "" ], [ "Lerda", "A.", "" ], [ "Pini", "A.", "" ], [ "Vallarino", "P.", "" ] ]

The D theory is a $\mathcal{N}=2$ conformal SYM theory in four dimensions with gauge group SU($N$), four matter hypermultiplets in the fundamental and two in the anti-symmetric representation, and a flavor symmetry that contains a U(4) factor. Its holographic dual is obtained via a combination of orbifold and orientifold projections from Type II B string theory on $\mathrm{AdS}_5 \times S^5$ and possesses a sector of open strings attached to D7 branes with U(4) Chan-Paton factors. The AdS Veneziano amplitude of the U(4) gluons is dual to four-point correlators of moment-map operators of the U(4) flavor symmetry in the D theory. An integrated version of these correlators is captured by a deformation of the D theory in which the fundamental hypermultiplets acquire a mass. The partition function of this massive theory can be evaluated with matrix-model techniques using localization. In this paper we analyze the matrix model of the mass-deformed D theory arising from localization using the so-called ``full Lie algebra'' approach in a $1/N$ expansion. In particular, we study the partition function and its mass derivatives up to $O(1/N^2)$ corrections obtaining exact expressions that are valid for all values of the 't Hooft coupling. We also analyze their behavior at strong coupling where our results produce useful constraints on the dual open string scattering amplitudes in AdS.

7.485193

7.361085

8.311474

7.457791

7.423672

7.562476

7.594328

7.48842

7.437396

9.331345

8.021823

7.632175

7.823878

7.434089

7.681866

7.667047

7.619149

7.567153

7.532156

7.791177

7.412434

1612.07129

Laura Mersini-Houghton

Predictions of the Quantum Landscape Multiverse

11 pgs. Published in Class Quant Grav

null

10.1088/1361-6382/34/4/047001

null

hep-th

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

The 2015 Planck data release has placed tight constraints on the class of in ationary models allowed. The current best fit region favors concave downwards in ationary potentials, since they produce a suppressed tensor to scalar index ratio r. Concave downward potentials have a negative curvature V"<0, therefore a tachyonic mass square that drives fluctuations. Furthermore, their use can become problematic if the field rolls in a part of the potential away from the extrema, since the semiclassical approximation of quantum cosmology, used for deriving the most probable wavefunction of the universe from the landscape and for addressing the quantum to classical transition, breaks down away from the steepest descent region. We here propose a way of dealing with such potentials by inverting the metric signature and solving for the wavefunction of the universe in the Euclidean sector. This method allows us to extend our theory of the origin of the universe from a quantum multiverse, to a more general class of concave inflationary potentials where a straightforward application of the semiclassical approximation fails. The work here completes the derivation of modifications to the Newtonian potential and to the inflationary potential, which originate from the quantum entanglement of our universe with all others in the quantum landscape multiverse, leading to predictions of observational signatures for both types of in ationary models, concave and convex potentials.

[ { "created": "Wed, 21 Dec 2016 14:17:48 GMT", "version": "v1" } ]

2017-01-25

[ [ "Mersini-Houghton", "Laura", "" ] ]

The 2015 Planck data release has placed tight constraints on the class of in ationary models allowed. The current best fit region favors concave downwards in ationary potentials, since they produce a suppressed tensor to scalar index ratio r. Concave downward potentials have a negative curvature V"<0, therefore a tachyonic mass square that drives fluctuations. Furthermore, their use can become problematic if the field rolls in a part of the potential away from the extrema, since the semiclassical approximation of quantum cosmology, used for deriving the most probable wavefunction of the universe from the landscape and for addressing the quantum to classical transition, breaks down away from the steepest descent region. We here propose a way of dealing with such potentials by inverting the metric signature and solving for the wavefunction of the universe in the Euclidean sector. This method allows us to extend our theory of the origin of the universe from a quantum multiverse, to a more general class of concave inflationary potentials where a straightforward application of the semiclassical approximation fails. The work here completes the derivation of modifications to the Newtonian potential and to the inflationary potential, which originate from the quantum entanglement of our universe with all others in the quantum landscape multiverse, leading to predictions of observational signatures for both types of in ationary models, concave and convex potentials.

12.943727

15.724431

14.037271

13.732949

15.884533

16.747931

16.178181

13.420186

13.908726

15.860168

13.742018

13.510069

13.38124

13.099805

13.229655

13.422404

13.376038

13.516891

13.399616

13.655823

12.964342

hep-th/9812040

Nicola Maggiore

Alberto Blasi, Nicola Maggiore, Silvio P. Sorella and Luiz C. Q. Vilar

Renormalizability of Nonrenormalizable Field Theories

3 pages, revtex, no figures

Phys.Rev.D59:121701,1999

10.1103/PhysRevD.59.121701

null

hep-th

null

We give a simple and elegant proof of the Equivalence Theorem, stating that two field theories related by nonlinear field transformations have the same S matrix. We are thus able to identify a subclass of nonrenormalizable field theories which are actually physically equivalent to renormalizable ones. Our strategy is to show by means of the BRS formalism that the "nonrenormalizable" part of such fake nonrenormalizable theories, is a kind of gauge fixing, being confined in the cohomologically trivial sector of the theory.

[ { "created": "Fri, 4 Dec 1998 13:42:52 GMT", "version": "v1" } ]

2009-12-30

[ [ "Blasi", "Alberto", "" ], [ "Maggiore", "Nicola", "" ], [ "Sorella", "Silvio P.", "" ], [ "Vilar", "Luiz C. Q.", "" ] ]

We give a simple and elegant proof of the Equivalence Theorem, stating that two field theories related by nonlinear field transformations have the same S matrix. We are thus able to identify a subclass of nonrenormalizable field theories which are actually physically equivalent to renormalizable ones. Our strategy is to show by means of the BRS formalism that the "nonrenormalizable" part of such fake nonrenormalizable theories, is a kind of gauge fixing, being confined in the cohomologically trivial sector of the theory.

9.182947

8.742464

9.132811

8.540139

9.244819

9.030831

8.163862

8.074667

8.489473

8.745209

9.140988

8.528653

8.597994

8.425164

8.529334

8.840054

8.843576

8.747891

8.476728

8.732612

8.422471

1306.0789

Sophia K Domokos

Sophia K. Domokos, Carlos Hoyos, and Jacob Sonnenschein

Deformation Constraints on Solitons and D-branes

43 pages, 1 figure

null

10.1007/JHEP10(2013)003

null

hep-th

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

We derive a set of constraints on soliton solutions using geometric deformations, and transformations by internal symmetries with space-dependent parameters. We show that Derrick's theorem and a more complete set of constraints due to Manton are special cases of these deformation constraints (DC). We demonstrate also that known soliton solutions obey the DC, and extract novel results by applying the constraints to systems of D-branes, taking into account both Dirac-Born-Infeld and Wess-Zumino actions, and examining cases with and without D-brane gauge fields. We also determine a relation with the Hamiltonian constraint for gravitational systems, and discuss configurations of finite extent, like Wilson lines.

[ { "created": "Tue, 4 Jun 2013 13:51:55 GMT", "version": "v1" } ]

2015-06-16

[ [ "Domokos", "Sophia K.", "" ], [ "Hoyos", "Carlos", "" ], [ "Sonnenschein", "Jacob", "" ] ]

We derive a set of constraints on soliton solutions using geometric deformations, and transformations by internal symmetries with space-dependent parameters. We show that Derrick's theorem and a more complete set of constraints due to Manton are special cases of these deformation constraints (DC). We demonstrate also that known soliton solutions obey the DC, and extract novel results by applying the constraints to systems of D-branes, taking into account both Dirac-Born-Infeld and Wess-Zumino actions, and examining cases with and without D-brane gauge fields. We also determine a relation with the Hamiltonian constraint for gravitational systems, and discuss configurations of finite extent, like Wilson lines.

14.780805

13.815354

14.348963

13.655842

14.466084

14.591679

14.80335

13.470264

13.279031

15.455375

13.181376

14.040135

14.253238

13.754825

14.361227

13.753004

13.798965

13.800523

13.904286

13.932825

13.310466

hep-th/0110127

Dmitri Ryzhikh

L. V. Laperashvili (ITEP, Moscow, Russia), D. A. Ryzhikh (ITEP, Moscow, Russia)

Phase Transition in Gauge Theories and the Planck Scale Physics

63 pages, 12 figures, 2 tables

null

hep-th

null

The present paper is based on the modified part of the review "Random Dynamics and Multiple Point Model" by L.V.Laperashvili, H.B.Nielsen, D.A.Ryzhikh and N.Stillits, in preparation for publication in Russian, which contains the results of our joint activity with H.B.Nielsen concerning the investigations of phase transitions in gauge theories. In this review we have presented the main ideas of the Nielsen's Random Dynamics (RD) and his achievements (with co-authors) in the Anti-Grand Unification Theory (AGUT) and Multiple Point Model (MPM). We have considered also the theory of Scale Relativity (SR) by L.Nottale, which has a lot in common with RD: both theories lead to the discreteness of our space-time, giving rise to the new description of physics at very small distances. In this paper we have demonstrated the possibility of [SU(5)]$^3$ SUSY unification with superparticles of masses $M\approx 10^{18.3}$ GeV and calculated its critical point -- critical value of the inverse finestucture constant -- at $\alpha_{5,crit}^{-1} = \alpha_5^{-1}(\mu_{Pl})\approx 34.0$ (close to $\alpha_{GUT}^{-1}\approx 34.4$) with a hope that such an unified theory approaches the (multi)critical point at the Planck scale.

[ { "created": "Mon, 15 Oct 2001 14:09:40 GMT", "version": "v1" }, { "created": "Wed, 17 Oct 2001 09:21:46 GMT", "version": "v2" }, { "created": "Thu, 25 Oct 2001 14:15:45 GMT", "version": "v3" }, { "created": "Thu, 8 Nov 2001 16:53:13 GMT", "version": "v4" } ]

2009-09-25

[ [ "Laperashvili", "L. V.", "", "ITEP, Moscow, Russia" ], [ "Ryzhikh", "D. A.", "", "ITEP,\n Moscow, Russia" ] ]

The present paper is based on the modified part of the review "Random Dynamics and Multiple Point Model" by L.V.Laperashvili, H.B.Nielsen, D.A.Ryzhikh and N.Stillits, in preparation for publication in Russian, which contains the results of our joint activity with H.B.Nielsen concerning the investigations of phase transitions in gauge theories. In this review we have presented the main ideas of the Nielsen's Random Dynamics (RD) and his achievements (with co-authors) in the Anti-Grand Unification Theory (AGUT) and Multiple Point Model (MPM). We have considered also the theory of Scale Relativity (SR) by L.Nottale, which has a lot in common with RD: both theories lead to the discreteness of our space-time, giving rise to the new description of physics at very small distances. In this paper we have demonstrated the possibility of [SU(5)]$^3$ SUSY unification with superparticles of masses $M\approx 10^{18.3}$ GeV and calculated its critical point -- critical value of the inverse finestucture constant -- at $\alpha_{5,crit}^{-1} = \alpha_5^{-1}(\mu_{Pl})\approx 34.0$ (close to $\alpha_{GUT}^{-1}\approx 34.4$) with a hope that such an unified theory approaches the (multi)critical point at the Planck scale.

12.782784

13.27073

11.312134

10.573524

12.786107

12.94806

13.322609

13.835063

11.110891

12.495478

12.478291

11.785937

10.924421

10.766747

10.968514

11.570157

11.452973

11.659052

10.507311

11.356451

11.351458

hep-th/0111121

Pedro J. Silva

Matrix string theory and the Myers effect

16 pages,2 figures, references added, two footnote added and typos corrected, added calculations in last section. Final version published

JHEP 0202 (2002) 004

10.1088/1126-6708/2002/02/004

SUGP-01/11-2

hep-th

null

A new configuration of non-abelian D1-branes growing into D5-branes is found. This time the effect is triggered by a non-trivial electric field on the world-volume of the D1-branes and a constant RR 4-form potential. Based on the these configurations and other observations regarding non-abilean effective actions, a new action for matrix string theory in non-trivial backgrounds is conjectured. As an application we found that fundamental strings can grow into Dp-branes, in particular by placing the strings in the background of a group of near horizon D3-branes we found D5-branes. These types of configurations were found from the supergravity point of view in previous works.

[ { "created": "Tue, 13 Nov 2001 21:56:32 GMT", "version": "v1" }, { "created": "Sun, 25 Nov 2001 20:39:47 GMT", "version": "v2" }, { "created": "Fri, 22 Feb 2002 23:06:50 GMT", "version": "v3" } ]

2009-11-07

[ [ "Silva", "Pedro J.", "" ] ]

A new configuration of non-abelian D1-branes growing into D5-branes is found. This time the effect is triggered by a non-trivial electric field on the world-volume of the D1-branes and a constant RR 4-form potential. Based on the these configurations and other observations regarding non-abilean effective actions, a new action for matrix string theory in non-trivial backgrounds is conjectured. As an application we found that fundamental strings can grow into Dp-branes, in particular by placing the strings in the background of a group of near horizon D3-branes we found D5-branes. These types of configurations were found from the supergravity point of view in previous works.

12.773343

11.337381

14.629055

11.593087

12.790717

11.508678

12.675862

11.923346

11.26941

14.291829

11.348056

11.701313

12.691308

11.431534

11.977633

11.469492

11.2579

11.423946

11.665257

12.805055

11.70287

2406.10220

Davide Bonomi

Davide Bonomi, Valentina Forini

Dispersion relation from Lorentzian inversion in 1d CFT

null

hep-th

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

Starting from the Lorentzian inversion formula, we derive a dispersion relation which computes a four-point function in 1d CFTs as an integral over its double discontinuity. The crossing symmetric kernel of the integral is given explicitly for the case of identical operators with integer or half-integer scaling dimension. This derivation complements the one that uses analytic functionals. We use the dispersion relation to evaluate holographic correlators defined on the half-BPS Wilson line of planar $\mathcal{N}=4$ super Yang-Mills, reproducing results up to fourth order in an expansion at large t'Hooft coupling.

[ { "created": "Fri, 14 Jun 2024 17:54:41 GMT", "version": "v1" } ]

2024-06-17

[ [ "Bonomi", "Davide", "" ], [ "Forini", "Valentina", "" ] ]

Starting from the Lorentzian inversion formula, we derive a dispersion relation which computes a four-point function in 1d CFTs as an integral over its double discontinuity. The crossing symmetric kernel of the integral is given explicitly for the case of identical operators with integer or half-integer scaling dimension. This derivation complements the one that uses analytic functionals. We use the dispersion relation to evaluate holographic correlators defined on the half-BPS Wilson line of planar $\mathcal{N}=4$ super Yang-Mills, reproducing results up to fourth order in an expansion at large t'Hooft coupling.

8.607329

6.973214

9.114976

7.474447

7.758016

7.897379

7.833399

7.047507

6.985286

10.41057

7.329928

7.648521

8.350822

7.55868

7.484642

7.785277

7.512829

7.639613

7.648523

8.787745

7.861813

2405.17538

Jessica Howard

Jessica N. Howard, Marc S. Klinger, Anindita Maiti, Alexander G. Stapleton

Bayesian RG Flow in Neural Network Field Theories

46 pages, 10 figures, 2 tables

null

hep-th cond-mat.dis-nn cs.LG

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

The Neural Network Field Theory correspondence (NNFT) is a mapping from neural network (NN) architectures into the space of statistical field theories (SFTs). The Bayesian renormalization group (BRG) is an information-theoretic coarse graining scheme that generalizes the principles of the Exact Renormalization Group (ERG) to arbitrarily parameterized probability distributions, including those of NNs. In BRG, coarse graining is performed in parameter space with respect to an information-theoretic distinguishability scale set by the Fisher information metric. In this paper, we unify NNFT and BRG to form a powerful new framework for exploring the space of NNs and SFTs, which we coin BRG-NNFT. With BRG-NNFT, NN training dynamics can be interpreted as inducing a flow in the space of SFTs from the information-theoretic `IR' $\rightarrow$ `UV'. Conversely, applying an information-shell coarse graining to the trained network's parameters induces a flow in the space of SFTs from the information-theoretic `UV' $\rightarrow$ `IR'. When the information-theoretic cutoff scale coincides with a standard momentum scale, BRG is equivalent to ERG. We demonstrate the BRG-NNFT correspondence on two analytically tractable examples. First, we construct BRG flows for trained, infinite-width NNs, of arbitrary depth, with generic activation functions. As a special case, we then restrict to architectures with a single infinitely-wide layer, scalar outputs, and generalized cos-net activations. In this case, we show that BRG coarse-graining corresponds exactly to the momentum-shell ERG flow of a free scalar SFT. Our analytic results are corroborated by a numerical experiment in which an ensemble of asymptotically wide NNs are trained and subsequently renormalized using an information-shell BRG scheme.

[ { "created": "Mon, 27 May 2024 18:00:00 GMT", "version": "v1" } ]

2024-05-29

[ [ "Howard", "Jessica N.", "" ], [ "Klinger", "Marc S.", "" ], [ "Maiti", "Anindita", "" ], [ "Stapleton", "Alexander G.", "" ] ]

The Neural Network Field Theory correspondence (NNFT) is a mapping from neural network (NN) architectures into the space of statistical field theories (SFTs). The Bayesian renormalization group (BRG) is an information-theoretic coarse graining scheme that generalizes the principles of the Exact Renormalization Group (ERG) to arbitrarily parameterized probability distributions, including those of NNs. In BRG, coarse graining is performed in parameter space with respect to an information-theoretic distinguishability scale set by the Fisher information metric. In this paper, we unify NNFT and BRG to form a powerful new framework for exploring the space of NNs and SFTs, which we coin BRG-NNFT. With BRG-NNFT, NN training dynamics can be interpreted as inducing a flow in the space of SFTs from the information-theoretic `IR' $\rightarrow$ `UV'. Conversely, applying an information-shell coarse graining to the trained network's parameters induces a flow in the space of SFTs from the information-theoretic `UV' $\rightarrow$ `IR'. When the information-theoretic cutoff scale coincides with a standard momentum scale, BRG is equivalent to ERG. We demonstrate the BRG-NNFT correspondence on two analytically tractable examples. First, we construct BRG flows for trained, infinite-width NNs, of arbitrary depth, with generic activation functions. As a special case, we then restrict to architectures with a single infinitely-wide layer, scalar outputs, and generalized cos-net activations. In this case, we show that BRG coarse-graining corresponds exactly to the momentum-shell ERG flow of a free scalar SFT. Our analytic results are corroborated by a numerical experiment in which an ensemble of asymptotically wide NNs are trained and subsequently renormalized using an information-shell BRG scheme.

7.287704

7.742998

7.95561

7.368506

8.022471

7.862013

7.923424

7.482563

7.599142

8.197626

7.282226

7.443097

7.324687

7.041593

7.272272

7.200067

7.192209

7.227988

7.039841

7.32223

7.063241

hep-th/0209097

Kuratov V.

N.A. Gromov, I.V. Kostyakov and V.V.Kuratov

On contractions of classical basic superalgebras

15 pages, Latex

null

10.1088/0305-4470/36/10/308

null

hep-th

null

We define a class of orthosymplectic $osp(m;j|2n;\omega)$ and unitary $sl(m;j|n;\epsilon)$ superalgebras which may be obtained from $osp(m|2n)$ and $sl(m|n)$ by contractions and analytic continuations in a similar way as the special linear, orthogonal and the symplectic Cayley-Klein algebras are obtained from the corresponding classical ones. Casimir operators of Cayley-Klein superalgebras are obtained from the corresponding operators of the basic superalgebras. Contractions of $sl(2|1)$ and $osp(3|2)$ are regarded as an examples.

[ { "created": "Thu, 12 Sep 2002 07:20:59 GMT", "version": "v1" } ]

2009-11-07

[ [ "Gromov", "N. A.", "" ], [ "Kostyakov", "I. V.", "" ], [ "Kuratov", "V. V.", "" ] ]

We define a class of orthosymplectic $osp(m;j|2n;\omega)$ and unitary $sl(m;j|n;\epsilon)$ superalgebras which may be obtained from $osp(m|2n)$ and $sl(m|n)$ by contractions and analytic continuations in a similar way as the special linear, orthogonal and the symplectic Cayley-Klein algebras are obtained from the corresponding classical ones. Casimir operators of Cayley-Klein superalgebras are obtained from the corresponding operators of the basic superalgebras. Contractions of $sl(2|1)$ and $osp(3|2)$ are regarded as an examples.

6.703406

5.477865

8.016171

6.277418

6.037055

5.397716

5.540201

5.679812

6.047427

8.765744

6.277243

6.35186

6.734269

6.27622

6.404136

6.326897

6.571573

6.142793

6.335752

6.988305

6.490909

hep-th/9808186

Kei-Ichi Kondo

Kei-Ichi Kondo (Chiba Univ., Japan)

A proof of quark confinement in QCD

4 pages, Latex, Talk given at the 3rd Intern. conference on Quark Confinement and the Hadron Spectrum, 7-12 June 1998, Jefferson Lab., Newport News, VA, USA

null

CHIBA-EP-107

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

null

I propose to reformulate the gauge field theory as the perturbative deformation of a novel topological quantum field theory. It is shown that this reformulation leads to quark confinement in QCD$_4$. Similarly, the fractional charge confinement is also derived in the strong coupling phase of QED$_4$. As a confinement criterion, we use the area decay of the expectation value of the Wilson loop.

[ { "created": "Mon, 31 Aug 1998 07:55:14 GMT", "version": "v1" } ]

2007-05-23

[ [ "Kondo", "Kei-Ichi", "", "Chiba Univ., Japan" ] ]

I propose to reformulate the gauge field theory as the perturbative deformation of a novel topological quantum field theory. It is shown that this reformulation leads to quark confinement in QCD$_4$. Similarly, the fractional charge confinement is also derived in the strong coupling phase of QED$_4$. As a confinement criterion, we use the area decay of the expectation value of the Wilson loop.

12.703563

11.673047

12.10531

10.390608

12.301601

12.376014

11.82988

11.212362

10.013864

12.102182

11.318636

9.853637

10.938383

9.86294

10.818974

10.099201

10.19769

10.432096

10.340078

10.646833

10.108377

0706.0217

Akin Wingerter

S. Raby, A. Wingerter

Can String Theory Predict the Weinberg Angle?

35 pages, 6 figures

Phys.Rev.D76:086006,2007

10.1103/PhysRevD.76.086006

OHSTPY-HEP-T-07-002

hep-th hep-ph

null

We investigate whether the hypercharge assignments in the Standard Model can be interpreted as a hint at Grand Unification in the context of heterotic string theory. To this end, we introduce a general method to calculate U(1)_Y for any heterotic orbifold and compare our findings to the cases where hypercharge arises from a GUT. Surprisingly, in the overwhelming majority of 3-2 Standard Models, a non-anomalous hypercharge direction can be defined, for which the spectrum is vector-like. For these models, we calculate sin^2 theta to see how well it agrees with the standard GUT value. We find that 12% have sin^2 theta = 3/8, while all others have values which are less. Finally, 89% of the models with sin^2 theta = 3/8 have U(1)_Y in SU(5).

[ { "created": "Fri, 1 Jun 2007 22:34:29 GMT", "version": "v1" } ]

2008-11-26

[ [ "Raby", "S.", "" ], [ "Wingerter", "A.", "" ] ]

We investigate whether the hypercharge assignments in the Standard Model can be interpreted as a hint at Grand Unification in the context of heterotic string theory. To this end, we introduce a general method to calculate U(1)_Y for any heterotic orbifold and compare our findings to the cases where hypercharge arises from a GUT. Surprisingly, in the overwhelming majority of 3-2 Standard Models, a non-anomalous hypercharge direction can be defined, for which the spectrum is vector-like. For these models, we calculate sin^2 theta to see how well it agrees with the standard GUT value. We find that 12% have sin^2 theta = 3/8, while all others have values which are less. Finally, 89% of the models with sin^2 theta = 3/8 have U(1)_Y in SU(5).

8.744608

9.182517

8.815082

8.34943

9.829692

10.602867

8.54213

9.359186

8.520582

9.529249

8.922011

8.53303

8.25765

8.289034

8.313176

8.215617

8.345954

8.68749

8.309787

8.292068

8.631485

2011.11412

Nikhil Kalyanapuram

Soft Gravity by Squaring Soft QED on the Celestial Sphere

v3: 12 pages, references added

Phys. Rev. D 103, 085016 (2021)

10.1103/PhysRevD.103.085016

null

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

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

We recast the soft $S$-matrices on the celestial sphere as correlation functions of certain $2$-dimensional models of topological defects. In pointing out the double copy structure between the soft photon and soft graviton cases, we arrive at a putative classical double copy between the corresponding topological models and a rederivation of gauge invariance and the equivalence principle as Ward identities of the $2$-dimensional theories.

[ { "created": "Mon, 23 Nov 2020 14:16:13 GMT", "version": "v1" }, { "created": "Tue, 30 Mar 2021 10:01:22 GMT", "version": "v2" }, { "created": "Tue, 6 Apr 2021 14:44:19 GMT", "version": "v3" } ]

2021-04-27

[ [ "Kalyanapuram", "Nikhil", "" ] ]

We recast the soft $S$-matrices on the celestial sphere as correlation functions of certain $2$-dimensional models of topological defects. In pointing out the double copy structure between the soft photon and soft graviton cases, we arrive at a putative classical double copy between the corresponding topological models and a rederivation of gauge invariance and the equivalence principle as Ward identities of the $2$-dimensional theories.

11.047228

9.76304

11.765631

9.308658

10.309632

9.429158

9.118181

10.198009

10.075978

13.560305

9.960112

9.188651

10.512586

9.97206

9.128941

9.243059

9.496686

9.425061

9.63803

10.892463

9.211373

hep-th/0511252

Gaston Giribet

The String Theory on AdS_3 as a Marginal Deformation of a Linear Dilaton Background

30 pages, no figures. Some minor typos corrected; e.g. minor typo in Eq. (5) and Eq. (23)

Nucl.Phys.B737:209-235,2006

10.1016/j.nuclphysb.2006.01.007

null

hep-th

null

We investigate N-point string scattering amplitudes in AdS_3 space. Based on recent observations on the solutions of KZ and BPZ-type differential equations, we discuss how to describe the string theory in AdS_3 as a marginal deformation of a (flat) linear dilaton background. This representation resembles the called "discrete light-cone Liouville" realization as well as the FZZ dual description in terms of the sine-Liouville field theory. Consequently, the connection and differences between those and this realization are discussed. The free field representation presented here permits to understand the relation between correlators in both Liouville and WZNW theories in a very simple way. Within this framework, we discuss the spectrum and interactions of strings in Lorentzian AdS_3.

[ { "created": "Thu, 24 Nov 2005 15:55:49 GMT", "version": "v1" }, { "created": "Fri, 2 Dec 2005 21:33:39 GMT", "version": "v2" }, { "created": "Wed, 7 Dec 2005 20:55:20 GMT", "version": "v3" }, { "created": "Mon, 20 Feb 2006 15:00:04 GMT", "version": "v4" }, { "created": "Mon, 15 May 2006 19:57:13 GMT", "version": "v5" } ]

2008-11-26

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

We investigate N-point string scattering amplitudes in AdS_3 space. Based on recent observations on the solutions of KZ and BPZ-type differential equations, we discuss how to describe the string theory in AdS_3 as a marginal deformation of a (flat) linear dilaton background. This representation resembles the called "discrete light-cone Liouville" realization as well as the FZZ dual description in terms of the sine-Liouville field theory. Consequently, the connection and differences between those and this realization are discussed. The free field representation presented here permits to understand the relation between correlators in both Liouville and WZNW theories in a very simple way. Within this framework, we discuss the spectrum and interactions of strings in Lorentzian AdS_3.

12.237759

12.099118

14.961661

12.426972

12.335111

12.820836

13.142524

13.002849

12.02354

14.427203

11.736987

12.093743

12.486341

11.91699

12.093302

11.728327

11.621519

11.952527

11.840007

12.489747

11.810562

2208.05993

Andrea E. V. Ferrari

Thomas Bartsch, Mathew Bullimore, Andrea E. V. Ferrari, Jamie Pearson

Non-invertible Symmetries and Higher Representation Theory I

55 pages + Appendices. v2: references updated

SciPost Phys. 17, 015 (2024)

10.21468/SciPostPhys.17.1.015

null

hep-th math-ph math.MP

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

The purpose of this paper is to investigate the global categorical symmetries that arise when gauging finite higher groups in three or more dimensions. The motivation is to provide a common perspective on constructions of non-invertible global symmetries in higher dimensions and a precise description of the associated symmetry categories. This paper focusses on gauging finite groups and split 2-groups in three dimensions. In addition to topological Wilson lines, we show that this generates a rich spectrum of topological surface defects labelled by 2-representations and explain their connection to condensation defects for Wilson lines. We derive various properties of the topological defects and show that the associated symmetry category is the fusion 2-category of 2-representations. This allows us to determine the full symmetry categories of certain gauge theories with disconnected gauge groups. A subsequent paper will examine gauging more general higher groups in higher dimensions.

[ { "created": "Thu, 11 Aug 2022 18:01:48 GMT", "version": "v1" }, { "created": "Fri, 5 May 2023 15:58:05 GMT", "version": "v2" } ]

2024-07-17

[ [ "Bartsch", "Thomas", "" ], [ "Bullimore", "Mathew", "" ], [ "Ferrari", "Andrea E. V.", "" ], [ "Pearson", "Jamie", "" ] ]

The purpose of this paper is to investigate the global categorical symmetries that arise when gauging finite higher groups in three or more dimensions. The motivation is to provide a common perspective on constructions of non-invertible global symmetries in higher dimensions and a precise description of the associated symmetry categories. This paper focusses on gauging finite groups and split 2-groups in three dimensions. In addition to topological Wilson lines, we show that this generates a rich spectrum of topological surface defects labelled by 2-representations and explain their connection to condensation defects for Wilson lines. We derive various properties of the topological defects and show that the associated symmetry category is the fusion 2-category of 2-representations. This allows us to determine the full symmetry categories of certain gauge theories with disconnected gauge groups. A subsequent paper will examine gauging more general higher groups in higher dimensions.

9.769158

8.272805

9.90416

8.452147

8.362257

8.099699

8.157296

8.244523

8.545235

11.918528

8.714317

9.074694

10.35138

9.348308

9.284002

9.015257

9.109108

9.455917

9.114757

10.922145

9.390438

hep-th/9710224

Geza Fulop

BRST-co-BRST Quantization of Reparametrization Invariant Theories

LaTex, 24 pages

Int.J.Mod.Phys. A13 (1998) 3629-3648

10.1142/S0217751X98001700

IFUSP/P-1265

hep-th

null

We study some reparametrization invariant theories in context of the BRST-co-BRST quantization method. The method imposes restrictions on the possible gauge fixing conditions and leads to well defined inner product states through a gauge regularisation procedure. Two explicit examples are also treated in detail.

[ { "created": "Wed, 29 Oct 1997 14:56:56 GMT", "version": "v1" } ]

2009-10-30

[ [ "Fulop", "Geza", "" ] ]

We study some reparametrization invariant theories in context of the BRST-co-BRST quantization method. The method imposes restrictions on the possible gauge fixing conditions and leads to well defined inner product states through a gauge regularisation procedure. Two explicit examples are also treated in detail.

24.933489

21.837353

22.317495

20.302313

22.795576

21.41317

22.417055

18.110645

19.062851

26.247099

19.912815

20.622643

23.605404

20.672047

20.98097

21.433298

22.278641

20.18079

20.678415

23.32497

20.759777

0807.1183

Tianjun Li

Tianjun Li, Yan Liu, Dan Xie

Multiple D2-Brane Action from M2-Branes

RevTex4, 16 pages

Int.J.Mod.Phys.A24:3039-3052,2009

10.1142/S0217751X09044590

MIFP-08-16

hep-th

http://creativecommons.org/licenses/by/3.0/

We study the detail derivation of the multiple D2-brane effective action from multiple M2-branes in the Bagger-Lambert-Gustavsson (BLG) theory and the Aharony-Bergman-Jafferis-Maldacena (ABJM) theory by employing the novel Higgs mechanism. We show explicitly that the high-order F^3 and F^4 terms are commutator terms, and conjecture that all the high-order terms are commutator terms. Because the commutator terms can be treated as the covariant derivative terms, these high-order terms do not contribute to the multiple D2-brane effective action. Inspired by the derivation of a single D2-brane from a M2-brane, we consider the curved M2-branes and introduce an auxiliary field. Integrating out the auxiliary field, we indeed obtain the correct high-order F^4 terms in the D2-brane effective action from the BLG theory and the ABJM theory with SU(2)\times SU(2) gauge symmetry, but we can not obtain the correct high-order F^4 terms from the ABJM theory with U(N)\times U(N) and SU(N)\times SU(N) gauge symmetries for N > 2. We also briefly comment on the (gauged) BF membrane theory.

[ { "created": "Tue, 8 Jul 2008 07:04:26 GMT", "version": "v1" } ]

2009-07-22

[ [ "Li", "Tianjun", "" ], [ "Liu", "Yan", "" ], [ "Xie", "Dan", "" ] ]

We study the detail derivation of the multiple D2-brane effective action from multiple M2-branes in the Bagger-Lambert-Gustavsson (BLG) theory and the Aharony-Bergman-Jafferis-Maldacena (ABJM) theory by employing the novel Higgs mechanism. We show explicitly that the high-order F^3 and F^4 terms are commutator terms, and conjecture that all the high-order terms are commutator terms. Because the commutator terms can be treated as the covariant derivative terms, these high-order terms do not contribute to the multiple D2-brane effective action. Inspired by the derivation of a single D2-brane from a M2-brane, we consider the curved M2-branes and introduce an auxiliary field. Integrating out the auxiliary field, we indeed obtain the correct high-order F^4 terms in the D2-brane effective action from the BLG theory and the ABJM theory with SU(2)\times SU(2) gauge symmetry, but we can not obtain the correct high-order F^4 terms from the ABJM theory with U(N)\times U(N) and SU(N)\times SU(N) gauge symmetries for N > 2. We also briefly comment on the (gauged) BF membrane theory.

4.939245

4.855123

5.258368

4.606781

5.017678

4.916329

4.771189

4.674707

4.512279

5.527987

4.666469

4.633015

4.750888

4.661379

4.568651

4.688941

4.665082

4.788456

4.62824

4.694948

4.527728

hep-th/9404034

Solodukhin-63942

S.N.Solodukhin

On Exact Integrability of 2D Poincare Gravity

Preprint JINR E2-94-118, 8p., Latex

Mod.Phys.Lett. A9 (1994) 2817-2824

10.1142/S0217732394002653

null

hep-th

null

We consider the 2D Poincar\'e gravity and show its exact integrability. The choice of the gauge is discussed. The Euclidean solutions on compact closed differential manifolds are studied.

[ { "created": "Wed, 6 Apr 1994 10:06:32 GMT", "version": "v1" } ]

2015-06-26

[ [ "Solodukhin", "S. N.", "" ] ]

We consider the 2D Poincar\'e gravity and show its exact integrability. The choice of the gauge is discussed. The Euclidean solutions on compact closed differential manifolds are studied.

23.353325

14.668227

16.244448

15.786138

17.735472

16.473446

16.138

15.583961

16.46699

17.348806

17.280214

16.695927

17.231018

16.547117

17.708899

17.135803

16.786596

15.683272

16.659632

17.867573

15.085138

1410.6310

Vladimir Mitev

Laura Koster, Vladimir Mitev, Matthias Staudacher

A Twistorial Approach to Integrability in N=4 SYM

10 pages, 2 figures. This is the accepted version that has been published in Fortschritte der Physik 63, No. 2, 142-147 (2015)

Fortschritte der Physik 63, No. 2, 142-147 (2015)

10.1002/prop.201400085

HU-Mathematik-2014-30, HU-EP-14/41, CERN-PH-TH-2014-200

hep-th math-ph math.MP

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

While the achievements in the study of N=4 Super Yang-Mills through the application of integrability are impressive, the precise origins of the exact solvability remain shrouded in mystery. In this note, we propose that viewing the problem through the lens of twistor theory should help to clarify the reasons for integrability. We illustrate the power of this approach by rederiving the model's one-loop spin chain dilatation operator in the SO(6) sector.

[ { "created": "Thu, 23 Oct 2014 09:57:47 GMT", "version": "v1" }, { "created": "Tue, 20 Jan 2015 13:45:59 GMT", "version": "v2" } ]

2015-01-21

[ [ "Koster", "Laura", "" ], [ "Mitev", "Vladimir", "" ], [ "Staudacher", "Matthias", "" ] ]

While the achievements in the study of N=4 Super Yang-Mills through the application of integrability are impressive, the precise origins of the exact solvability remain shrouded in mystery. In this note, we propose that viewing the problem through the lens of twistor theory should help to clarify the reasons for integrability. We illustrate the power of this approach by rederiving the model's one-loop spin chain dilatation operator in the SO(6) sector.

8.799948

8.839434

10.551744

8.304763

7.841554

8.580186

7.80591

8.304673

8.770448

9.884312

8.000187

8.477559

8.475211

8.023357

8.476037

8.23929

8.192525

8.345761

8.120683

8.998628

7.998438

hep-th/0201058

Oscar J. C. Dias

Oscar J.C. Dias, Jose' P.S. Lemos

Rotating magnetic solution in three dimensional Einstein gravity

Latex (uses JHEP3.cls), 12 pages. Published version

JHEP 0201 (2002) 006

10.1088/1126-6708/2002/01/006

DF/IST-11.2001

hep-th gr-qc

null

We obtain the magnetic counterpart of the BTZ solution, i.e., the rotating spacetime of a point source generating a magnetic field in three dimensional Einstein gravity with a negative cosmological constant. The static (non-rotating) magnetic solution was found by Clement, by Hirschmann and Welch and by Cataldo and Salgado. This paper is an extension of their work in order to include (i) angular momentum, (ii) the definition of conserved quantities (this is possible since spacetime is asymptotically anti-de Sitter), (iii) upper bounds for the conserved quantities themselves, and (iv) a new interpretation for the magnetic field source. We show that both the static and rotating magnetic solutions have negative mass and that there is an upper bound for the intensity of the magnetic field source and for the value of the angular momentum. The magnetic field source can be interpreted not as a vortex but as being composed by a system of two symmetric and superposed electric charges, one of the electric charges is at rest and the other is spinning. The rotating magnetic solution reduces to the rotating uncharged BTZ solution when the magnetic field source vanishes.

[ { "created": "Wed, 9 Jan 2002 13:31:16 GMT", "version": "v1" }, { "created": "Wed, 6 Mar 2002 14:38:39 GMT", "version": "v2" } ]

2009-11-07

[ [ "Dias", "Oscar J. C.", "" ], [ "Lemos", "Jose' P. S.", "" ] ]

We obtain the magnetic counterpart of the BTZ solution, i.e., the rotating spacetime of a point source generating a magnetic field in three dimensional Einstein gravity with a negative cosmological constant. The static (non-rotating) magnetic solution was found by Clement, by Hirschmann and Welch and by Cataldo and Salgado. This paper is an extension of their work in order to include (i) angular momentum, (ii) the definition of conserved quantities (this is possible since spacetime is asymptotically anti-de Sitter), (iii) upper bounds for the conserved quantities themselves, and (iv) a new interpretation for the magnetic field source. We show that both the static and rotating magnetic solutions have negative mass and that there is an upper bound for the intensity of the magnetic field source and for the value of the angular momentum. The magnetic field source can be interpreted not as a vortex but as being composed by a system of two symmetric and superposed electric charges, one of the electric charges is at rest and the other is spinning. The rotating magnetic solution reduces to the rotating uncharged BTZ solution when the magnetic field source vanishes.

7.040867

6.955517

7.471501

6.866971

7.112406

7.054454

7.340519

6.48586

6.929343

7.168872

7.179888

6.874132

7.028897

6.691803

6.905759

6.92088

7.05465

6.69407

6.843027

7.012012

6.742733

1208.0038

Paul K. Townsend

Olaf Hohm, Alasdair Routh, Paul K. Townsend, Baocheng Zhang

On the Hamiltonian form of 3D massive gravity

25 pages, minor corrections plus extended discussion in v2

null

10.1103/PhysRevD.86.084035

DAMTP-2012-49, LMU-ASC 49/12

hep-th gr-qc

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

We present a "Chern-Simons-like" action for the "general massive gravity" model propagating two spin-2 modes with independent masses in three spacetime dimensions (3D), and we use it to find a simple Hamiltonian form of this model. The number of local degrees of freedom, determined by the dimension of the physical phase space, agrees with a linearized analysis except in some limits, in particular that yielding "new topologically massive gravity", which therefore suffers from a linearization instability.

[ { "created": "Tue, 31 Jul 2012 21:58:54 GMT", "version": "v1" }, { "created": "Fri, 14 Sep 2012 22:45:44 GMT", "version": "v2" } ]

2015-06-05

[ [ "Hohm", "Olaf", "" ], [ "Routh", "Alasdair", "" ], [ "Townsend", "Paul K.", "" ], [ "Zhang", "Baocheng", "" ] ]

We present a "Chern-Simons-like" action for the "general massive gravity" model propagating two spin-2 modes with independent masses in three spacetime dimensions (3D), and we use it to find a simple Hamiltonian form of this model. The number of local degrees of freedom, determined by the dimension of the physical phase space, agrees with a linearized analysis except in some limits, in particular that yielding "new topologically massive gravity", which therefore suffers from a linearization instability.

12.765211

10.633083

13.193762

10.581534

10.568196

10.110346

10.618056

10.406294

10.515932

15.354742

10.683142

11.298918

11.740742

11.061516

11.37022

10.989566

11.545644

11.577334

11.279423

11.104956

11.572624

1107.1244

Sebastian Franco

Richard Eager, Sebastian Franco and Kevin Schaeffer

Dimer Models and Integrable Systems

29 pages, 16 figures. v2: typos fixed

null

10.1007/JHEP06(2012)106

null

hep-th math-ph math.MP

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

We explore various aspects of the correspondence between dimer models and integrable systems recently introduced by Goncharov and Kenyon. Dimer models give rise to relativistic integrable systems that match those arising from 5d N=1 gauge theories studied by Nekrasov. We apply the correspondence to dimer models associated to the Y^{p,0} geometries, showing that they give rise to the relativistic generalization of the periodic Toda chain originally studied by Ruijsenaars. The correspondence reduces the calculation of all conserved charges to a straightforward combinatorial problem of enumerating non-intersecting paths in the dimer model. We show how the usual periodic Toda chain emerges in the non-relativistic limit and how the Lax operator corresponds to the Kasteleyn matrix of the dimer model. We discuss how the dimer models for general Y^{p,q} manifolds give rise to other relativistic integrable systems, generalizing the periodic Toda chain and construct the integrable systems for general Y^{p,p} explicitly. The impurities introduced in the construction of Y^{p,q} quivers are identified with impurities in twisted sl(2) XXZ spin chains. Finally we discuss how the physical concept of higgsing a dimer model provides an efficient method for producing new integrable systems starting from known ones. We illustrate this idea by constructing the integrable systems for higgsings of Y^{4,0}.

[ { "created": "Wed, 6 Jul 2011 20:00:48 GMT", "version": "v1" }, { "created": "Tue, 14 Aug 2012 06:07:00 GMT", "version": "v2" } ]

2015-05-28

[ [ "Eager", "Richard", "" ], [ "Franco", "Sebastian", "" ], [ "Schaeffer", "Kevin", "" ] ]

We explore various aspects of the correspondence between dimer models and integrable systems recently introduced by Goncharov and Kenyon. Dimer models give rise to relativistic integrable systems that match those arising from 5d N=1 gauge theories studied by Nekrasov. We apply the correspondence to dimer models associated to the Y^{p,0} geometries, showing that they give rise to the relativistic generalization of the periodic Toda chain originally studied by Ruijsenaars. The correspondence reduces the calculation of all conserved charges to a straightforward combinatorial problem of enumerating non-intersecting paths in the dimer model. We show how the usual periodic Toda chain emerges in the non-relativistic limit and how the Lax operator corresponds to the Kasteleyn matrix of the dimer model. We discuss how the dimer models for general Y^{p,q} manifolds give rise to other relativistic integrable systems, generalizing the periodic Toda chain and construct the integrable systems for general Y^{p,p} explicitly. The impurities introduced in the construction of Y^{p,q} quivers are identified with impurities in twisted sl(2) XXZ spin chains. Finally we discuss how the physical concept of higgsing a dimer model provides an efficient method for producing new integrable systems starting from known ones. We illustrate this idea by constructing the integrable systems for higgsings of Y^{4,0}.

6.636343

7.120257

8.045538

6.714596

6.466128

6.335911

6.60048

6.74754

6.581292

7.734

6.494786

6.48419

7.146555

6.363253

6.515782

6.395582

6.566693

6.550432

6.475963

7.192318

6.303272

0710.1829

Ulf Gran

U. Gran, J. Gutowski, G. Papadopoulos, D. Roest

IIB solutions with N>28 Killing spinors are maximally supersymmetric

27 pages

JHEP.0712:070,2007

10.1088/1126-6708/2007/12/070

null

hep-th

null

We show that all IIB supergravity backgrounds which admit more than 28 Killing spinors are maximally supersymmetric. In particular, we find that for all N>28 backgrounds the supercovariant curvature vanishes, and that the quotients of maximally supersymmetric backgrounds either preserve all 32 or N<29 supersymmetries.

[ { "created": "Tue, 9 Oct 2007 17:36:47 GMT", "version": "v1" } ]

2008-11-26

[ [ "Gran", "U.", "" ], [ "Gutowski", "J.", "" ], [ "Papadopoulos", "G.", "" ], [ "Roest", "D.", "" ] ]

We show that all IIB supergravity backgrounds which admit more than 28 Killing spinors are maximally supersymmetric. In particular, we find that for all N>28 backgrounds the supercovariant curvature vanishes, and that the quotients of maximally supersymmetric backgrounds either preserve all 32 or N<29 supersymmetries.

7.826061

7.095672

9.059807

6.692595

7.30272

7.057129

6.767121

7.409211

6.638522

12.924191

6.773059

7.265273

8.23281

7.292653

7.422519

7.207864

7.52637

7.20335

6.976477

8.070499

7.168577

hep-th/0205162

Savdeep Sethi

Arjan Keurentjes and Savdeep Sethi

Twisting E8 Five-Branes

40 pages, LaTeX; references added

Phys.Rev.D66:046001,2002

10.1103/PhysRevD.66.046001

null

hep-th

null

We consider the tensor theory on coincident E8 5-branes compactified on a three torus. Using string theory, we predict that there must be distinct components in the moduli space of this theory.We argue that new superconformal field theories are to be found in these sectors with, for example, global G2 and F4 symmetries. In some cases, twisted E8 5-branes can be identified with small instantons in non-simply-laced gauge groups. This allows us to determine the Higgs branch for the fixed point theory. We determine the Coulomb branch by using an M theory dual description involving partially frozen singularities. Along the way, we show that a D0-brane binds to two D4-branes, but not to an Sp-type O4-plane (despite the existence of a Higgs branch). These results are used to check various string/string dualities for which, in one case (quadruple versus NVS), we present a new argument. Finally, we describe the construction of new non-BPS branes as domain walls in various heterotic/type I string theories.

[ { "created": "Thu, 16 May 2002 19:29:13 GMT", "version": "v1" }, { "created": "Tue, 11 Jun 2002 18:02:09 GMT", "version": "v2" } ]

2014-11-18

[ [ "Keurentjes", "Arjan", "" ], [ "Sethi", "Savdeep", "" ] ]

We consider the tensor theory on coincident E8 5-branes compactified on a three torus. Using string theory, we predict that there must be distinct components in the moduli space of this theory.We argue that new superconformal field theories are to be found in these sectors with, for example, global G2 and F4 symmetries. In some cases, twisted E8 5-branes can be identified with small instantons in non-simply-laced gauge groups. This allows us to determine the Higgs branch for the fixed point theory. We determine the Coulomb branch by using an M theory dual description involving partially frozen singularities. Along the way, we show that a D0-brane binds to two D4-branes, but not to an Sp-type O4-plane (despite the existence of a Higgs branch). These results are used to check various string/string dualities for which, in one case (quadruple versus NVS), we present a new argument. Finally, we describe the construction of new non-BPS branes as domain walls in various heterotic/type I string theories.

14.282776

14.342332

17.186142

13.708856

14.245156

14.948327

13.822893

13.538638

13.231239

17.79561

13.033077

13.561882

15.187266

13.845645

13.345292

13.008435

13.676685

13.495531

13.786939

15.72175

13.716156

1212.0561

Tehseen Rug

Holography of Species in Cascading DGP

18 pages

null

hep-th

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

In this paper we generalize the idea of species holography to the case of Cascading DGP theories. Essence of the phenomenon is that a 4D field theory with N particle species coupled to a high-dimensional bulk gravity propagating solely a graviton becomes strongly coupled at the scale that would be the quantum gravity scale of the bulk theory if all the species were propagating in the bulk. We will see that both, crossover scales and Vainshtein scales, can be understood as holographic scales in the above sense. We confirm our results by an explicit effective field theoretic derivation of these scales in Cascading DGP.

[ { "created": "Mon, 3 Dec 2012 21:19:31 GMT", "version": "v1" } ]

2012-12-05

[ [ "Rug", "Tehseen", "" ] ]

In this paper we generalize the idea of species holography to the case of Cascading DGP theories. Essence of the phenomenon is that a 4D field theory with N particle species coupled to a high-dimensional bulk gravity propagating solely a graviton becomes strongly coupled at the scale that would be the quantum gravity scale of the bulk theory if all the species were propagating in the bulk. We will see that both, crossover scales and Vainshtein scales, can be understood as holographic scales in the above sense. We confirm our results by an explicit effective field theoretic derivation of these scales in Cascading DGP.

13.766651

13.877318

14.485166

13.231967

14.383671

12.941892

13.511883

13.912629

13.473471

16.463428

12.233809

14.112472

13.468589

13.231346

13.473611

14.017156

13.316008

13.19305

13.128833

13.373946

13.070718

hep-th/9204090

Malcolm Perry

Gary W. Gibbons and Malcolm J. Perry

The Physics of 2-d Stringy Spacetimes

null

Int.J.Mod.Phys.D1:335-354,1992

10.1142/S0218271892000161

null

hep-th

null

We examine the two-dimensional spacetimes that emerge from string theory. We find all the solutions with no tachyons, and show that the only non-trivial solution is the black hole spacetime. We examine the role of duality in this picture. We then explore the thermodynamics of these solutions which is complicated by the fact that only in two spacetime dimensions is it impossible to redefine the dilaton field in terms of a canonical scalar field. Finally, we extend our analysis to the heterotic string, and briefly comment on exact, as opposed to perturbative, solutions.

[ { "created": "Tue, 28 Apr 1992 15:41:45 GMT", "version": "v1" } ]

2009-10-07

[ [ "Gibbons", "Gary W.", "" ], [ "Perry", "Malcolm J.", "" ] ]

We examine the two-dimensional spacetimes that emerge from string theory. We find all the solutions with no tachyons, and show that the only non-trivial solution is the black hole spacetime. We examine the role of duality in this picture. We then explore the thermodynamics of these solutions which is complicated by the fact that only in two spacetime dimensions is it impossible to redefine the dilaton field in terms of a canonical scalar field. Finally, we extend our analysis to the heterotic string, and briefly comment on exact, as opposed to perturbative, solutions.

8.874208

8.128946

8.865411

8.020491

8.766311

8.091778

8.319198

8.086123

8.065141

9.242356

8.163683

8.345531

8.354537

8.131263

8.618618

8.202618

8.301558

8.376483

8.384279

8.552791

8.275431

2003.05724

Rafael Hernandez

Rafael Hernandez, Roberto Ruiz

Double Yang-Baxter deformation of spinning strings

30 pages, Latex. v2: Improved discussion. Published version

JHEP 2006:115,2020

10.1007/JHEP06(2020)115

null

hep-th

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

We study the reduction of classical strings rotating in the deformed three-sphere truncation of the double Yang-Baxter deformation of the $\hbox{AdS}_3 \times \hbox{S}^3 \times \hbox{T}^4$ background to an integrable mechanical model. The use of the generalized spinning-string ansatz leads to an integrable deformation of the Neumann-Rosochatius system. Integrability of this system follows from the fact that the usual constraints for the Uhlenbeck constants apply to any deformation that respects the isometric coordinates of the three-sphere. We construct solutions to the system in terms of the underlying ellipsoidal coordinate. The solutions depend on the domain of the deformation parameters and the reality conditions of the roots of a fourth order polynomial. We obtain constant-radii, giant-magnon and trigonometric solutions when the roots degenerate, and analyze the possible solutions in the undeformed limit. In the case where the deformation parameters are purely imaginary and the polynomial involves two complex-conjugated roots, we find a new class of solutions. The new class is connected with twofold giant-magnon solutions in the degenerate limit of infinite period.

[ { "created": "Thu, 12 Mar 2020 12:12:08 GMT", "version": "v1" }, { "created": "Fri, 3 Jul 2020 11:15:22 GMT", "version": "v2" } ]

2023-05-12

[ [ "Hernandez", "Rafael", "" ], [ "Ruiz", "Roberto", "" ] ]

We study the reduction of classical strings rotating in the deformed three-sphere truncation of the double Yang-Baxter deformation of the $\hbox{AdS}_3 \times \hbox{S}^3 \times \hbox{T}^4$ background to an integrable mechanical model. The use of the generalized spinning-string ansatz leads to an integrable deformation of the Neumann-Rosochatius system. Integrability of this system follows from the fact that the usual constraints for the Uhlenbeck constants apply to any deformation that respects the isometric coordinates of the three-sphere. We construct solutions to the system in terms of the underlying ellipsoidal coordinate. The solutions depend on the domain of the deformation parameters and the reality conditions of the roots of a fourth order polynomial. We obtain constant-radii, giant-magnon and trigonometric solutions when the roots degenerate, and analyze the possible solutions in the undeformed limit. In the case where the deformation parameters are purely imaginary and the polynomial involves two complex-conjugated roots, we find a new class of solutions. The new class is connected with twofold giant-magnon solutions in the degenerate limit of infinite period.

10.422784

10.486216

11.322679

10.262735

10.932892

10.231529

10.194442

9.727968

9.555335

12.821066

9.7454

9.355416

10.051274

9.631621

9.846037

9.617443

9.377659

9.486809

9.208605

10.007604

9.436457

0903.2380

Akhil Shah

A Note on Non-BPS Black Holes in 5D

14 pages, harvmac, added references

null

hep-th

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

We study the possibility of constructing non-BPS charged black holes in 5D Poincare supergravity by partially violating superconformal Killing spinor equations. However, solutions to these modified first order equations are inconsistent with the second order equations of motion beyond the near horizon region. Instead we find, for special prepotentials, that the consistent asymptotically flat extension of the non-BPS near horizon solution is generated by a symmetry transformation that leaves the two-derivative action invariant.

[ { "created": "Fri, 13 Mar 2009 19:13:16 GMT", "version": "v1" }, { "created": "Wed, 29 Apr 2009 14:39:30 GMT", "version": "v2" } ]

2009-04-29

[ [ "Shah", "Akhil", "" ] ]

We study the possibility of constructing non-BPS charged black holes in 5D Poincare supergravity by partially violating superconformal Killing spinor equations. However, solutions to these modified first order equations are inconsistent with the second order equations of motion beyond the near horizon region. Instead we find, for special prepotentials, that the consistent asymptotically flat extension of the non-BPS near horizon solution is generated by a symmetry transformation that leaves the two-derivative action invariant.

11.354188

10.746301

12.390566

10.934224

11.005896

11.068545

11.048692

10.891873

10.113881

13.009692

10.740391

11.208006

11.48616

10.653036

10.822193

11.001128

10.61467

10.341562

10.469447

11.509236

10.749009

0911.5643

Mans Henningson

Automorphic properties of (2, 0) theory on T6

15 pages

JHEP 1001:090,2010

10.1007/JHEP01(2010)090

null

hep-th

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

We consider ADE-type (2, 0) theory on a family of flat six-tori endowed with flat Sp(4) connections coupled to the R-symmetry. Our main objects of interest are the components of the `partition vector' of the theory. These constitute an element of a certain finite dimensional vector space, carrying an irreducible representation of a discrete Heisenberg group related to the 't Hooft fluxes of the theory. Covariance under the SL_6(Z) mapping class group of a six-torus amounts to a certain automorphic transformation law for the partition vector, which we derive. Because of the absence of a Lagrangian formulation of (2, 0) theory, this transformation property is not manifest, and gives useful non-trivial constraints on the partition vector. As an application, we derive a shifted quantization law for the spatial momentum of (2, 0) theory on a space-time of the form R x T5. This quantization law is in agreement with an earlier result based on the relationship between (2, 0) theory and maximally supersymmetric Yang-Mills theory together with certain geometric facts about gauge bundles.

[ { "created": "Mon, 30 Nov 2009 13:56:39 GMT", "version": "v1" } ]

2010-12-15

[ [ "Henningson", "Mans", "" ] ]

We consider ADE-type (2, 0) theory on a family of flat six-tori endowed with flat Sp(4) connections coupled to the R-symmetry. Our main objects of interest are the components of the `partition vector' of the theory. These constitute an element of a certain finite dimensional vector space, carrying an irreducible representation of a discrete Heisenberg group related to the 't Hooft fluxes of the theory. Covariance under the SL_6(Z) mapping class group of a six-torus amounts to a certain automorphic transformation law for the partition vector, which we derive. Because of the absence of a Lagrangian formulation of (2, 0) theory, this transformation property is not manifest, and gives useful non-trivial constraints on the partition vector. As an application, we derive a shifted quantization law for the spatial momentum of (2, 0) theory on a space-time of the form R x T5. This quantization law is in agreement with an earlier result based on the relationship between (2, 0) theory and maximally supersymmetric Yang-Mills theory together with certain geometric facts about gauge bundles.

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1302.6404

Yusuke Kimura

Non-planar operator mixing by Brauer representations

19 pages

null

10.1016/j.nuclphysb.2013.07.021

OIQP-13-03

hep-th

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

We study the action of the dilatation operator on the basis of local operators constructed from the elements of the walled Brauer algebra, with non-planar corrections fully taken into account. We will see that the operator mixing can be neatly expressed in terms of the irreducible representations of the algebra. In particular we focus on a role of the integer that determines the number of boxes in the representations.

[ { "created": "Tue, 26 Feb 2013 11:44:19 GMT", "version": "v1" }, { "created": "Wed, 4 Sep 2013 10:51:52 GMT", "version": "v2" } ]

2015-06-15

[ [ "Kimura", "Yusuke", "" ] ]

We study the action of the dilatation operator on the basis of local operators constructed from the elements of the walled Brauer algebra, with non-planar corrections fully taken into account. We will see that the operator mixing can be neatly expressed in terms of the irreducible representations of the algebra. In particular we focus on a role of the integer that determines the number of boxes in the representations.

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