LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1510.04219

Eugenio Megias

Out-of-equilibrium energy flow and steady state configurations in AdS/CFT

7 pages, 3 figures. Talk given by E.Megias at the European Physical Society Conference on High Energy Physics (EPS-HEP2015), Vienna, Austria, 22-29 July 2015; v2 references added, acknowledgments extended

null

MPP-2015-218

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

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

We study out-of-equilibrium energy flow in a strongly coupled system by using the AdS/CFT correspondence. In particular, we describe the appearance of a steady state connecting two asymptotic equilibrium systems. We obtain results within the linear response regime.

[ { "created": "Wed, 14 Oct 2015 18:06:07 GMT", "version": "v1" }, { "created": "Wed, 21 Oct 2015 16:26:01 GMT", "version": "v2" } ]

2015-10-22

[ [ "Megias", "Eugenio", "" ] ]

We study out-of-equilibrium energy flow in a strongly coupled system by using the AdS/CFT correspondence. In particular, we describe the appearance of a steady state connecting two asymptotic equilibrium systems. We obtain results within the linear response regime.

13.1737

11.147367

12.645225

9.88768

9.241526

10.549771

9.98481

9.200521

9.204235

10.538836

9.820876

11.118804

11.914891

10.715929

11.540079

11.411764

11.287789

10.780565

11.824979

12.257837

11.423037

1401.5257

Yu Nakayama

$a-c$ test of holography vs quantum renormalization group

6 pages, v2: minor corrections, v3: to be published in MPLA with all the comments by referee 2 of JHEP taken into account

null

10.1142/S0217732314501582

IPMU 14-0011

hep-th

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

We show that a "constructive derivation" of the AdS/CFT correspondence based on the quantum local renormalization group in large N quantum field theories consistently provides the a-c holographic Weyl anomaly in d=4 at the curvature squared order in the bulk action. The consistency of the construction further predicts the form of the metric beta function.

[ { "created": "Tue, 21 Jan 2014 10:42:14 GMT", "version": "v1" }, { "created": "Wed, 5 Feb 2014 01:31:08 GMT", "version": "v2" }, { "created": "Thu, 24 Jul 2014 04:53:53 GMT", "version": "v3" } ]

2014-09-18

[ [ "Nakayama", "Yu", "" ] ]

We show that a "constructive derivation" of the AdS/CFT correspondence based on the quantum local renormalization group in large N quantum field theories consistently provides the a-c holographic Weyl anomaly in d=4 at the curvature squared order in the bulk action. The consistency of the construction further predicts the form of the metric beta function.

22.779722

19.66242

23.467216

18.129784

19.763432

21.037857

23.132637

19.534443

18.552967

25.802505

20.037485

20.32855

20.242472

19.344355

20.788296

20.12409

20.14027

19.931017

20.475468

22.043789

20.408031

hep-th/9905060

Ramchander R. Sastry

Quantum Gravitodynamics

10 pages, 1 eps figure, explanation added

null

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

null

The infinite dimensional generalization of the quantum mechanics of extended objects, namely, the quantum field theory of extended objects is employed to address the hitherto nonrenormalizable gravitational interaction following which the cosmological constant problem is addressed. The response of an electron to a weak gravitational field (linear approximation) is studied and the order $\alpha$ correction to the magnetic gravitational moment is computed.

[ { "created": "Sun, 9 May 1999 20:16:45 GMT", "version": "v1" }, { "created": "Fri, 29 Oct 1999 19:06:03 GMT", "version": "v2" }, { "created": "Sat, 8 Apr 2000 06:07:23 GMT", "version": "v3" }, { "created": "Wed, 12 Apr 2000 14:22:46 GMT", "version": "v4" }, { "created": "Thu, 13 Apr 2000 02:40:13 GMT", "version": "v5" } ]

2009-09-25

[ [ "Sastry", "Ramchander R.", "" ] ]

The infinite dimensional generalization of the quantum mechanics of extended objects, namely, the quantum field theory of extended objects is employed to address the hitherto nonrenormalizable gravitational interaction following which the cosmological constant problem is addressed. The response of an electron to a weak gravitational field (linear approximation) is studied and the order $\alpha$ correction to the magnetic gravitational moment is computed.

16.737625

12.290854

14.501513

13.026939

12.864745

13.193569

12.53531

11.625294

13.823407

15.192271

14.440656

14.079389

14.789363

13.838035

14.800891

14.088953

14.050222

14.755956

14.698419

15.119937

14.452014

hep-th/0205132

Per Anders Sundell

E. Sezgin, P. Sundell

Analysis of Higher Spin Field Equations in Four Dimensions

Latex, 30 pages, several clarifications and few references added

JHEP 0207 (2002) 055

10.1088/1126-6708/2002/07/055

null

hep-th

null

The minimal bosonic higher spin gauge theory in four dimensions contains massless particles of spin s=0,2,4,.. that arise in the symmetric product of two spin 0 singletons. It is based on an infinite dimensional extension of the AdS_4 algebra a la Vasiliev. We derive an expansion scheme in which the gravitational gauge fields are treated exactly and the gravitational curvatures and the higher spin gauge fields as weak perturbations. We also give the details of an explicit iteration procedure for obtaining the field equations to arbitrary order in curvatures. In particular, we highlight the structure of all the quadratic terms in the field equations.

[ { "created": "Tue, 14 May 2002 15:15:42 GMT", "version": "v1" }, { "created": "Fri, 19 Jul 2002 09:29:48 GMT", "version": "v2" } ]

2009-11-07

[ [ "Sezgin", "E.", "" ], [ "Sundell", "P.", "" ] ]

The minimal bosonic higher spin gauge theory in four dimensions contains massless particles of spin s=0,2,4,.. that arise in the symmetric product of two spin 0 singletons. It is based on an infinite dimensional extension of the AdS_4 algebra a la Vasiliev. We derive an expansion scheme in which the gravitational gauge fields are treated exactly and the gravitational curvatures and the higher spin gauge fields as weak perturbations. We also give the details of an explicit iteration procedure for obtaining the field equations to arbitrary order in curvatures. In particular, we highlight the structure of all the quadratic terms in the field equations.

10.44654

10.801172

12.509424

9.515882

9.439467

8.910077

10.038517

9.164336

9.986115

12.083234

10.042338

9.088469

10.732873

9.765195

9.942768

9.514162

9.354772

9.773889

9.672768

10.96665

9.540909

1312.2647

Fu Chun-E

Chun-E Fu, Yu-Xiao Liu, Heng Guo, Feng-Wei Chen, and Sheng-Li Zhang

Localization of $q-$form fields on $AdS_{p+1}$ branes

13 pages

Physics Letters B 735 (2014) 7

10.1016/j.physletb.2014.06.010

null

hep-th

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

In this paper, we investigate localization of a free massless $q-$form bulk field on thin and thick $AdS_{p+1}$ branes with codimension one. It is found that the zero mode of the $q-$form field with $q>(p+2)/2$ can be localized on the thin negative tension brane, which is different from the flat brane case given in [JHEP 10 (2012) 060]. For the thick $AdS_{p+1}$ branes, the $q-$form field with $q>(p+2)/2$ also has a localized zero mode under some conditions. Furthermore, we find that there are massive bound KK modes of the $q-$form field, which are localized on this type $p-$branes.

[ { "created": "Tue, 10 Dec 2013 02:39:24 GMT", "version": "v1" }, { "created": "Mon, 23 Dec 2013 03:08:45 GMT", "version": "v2" }, { "created": "Thu, 12 Jun 2014 07:11:24 GMT", "version": "v3" }, { "created": "Fri, 13 Jun 2014 01:19:29 GMT", "version": "v4" } ]

2015-06-18

[ [ "Fu", "Chun-E", "" ], [ "Liu", "Yu-Xiao", "" ], [ "Guo", "Heng", "" ], [ "Chen", "Feng-Wei", "" ], [ "Zhang", "Sheng-Li", "" ] ]

In this paper, we investigate localization of a free massless $q-$form bulk field on thin and thick $AdS_{p+1}$ branes with codimension one. It is found that the zero mode of the $q-$form field with $q>(p+2)/2$ can be localized on the thin negative tension brane, which is different from the flat brane case given in [JHEP 10 (2012) 060]. For the thick $AdS_{p+1}$ branes, the $q-$form field with $q>(p+2)/2$ also has a localized zero mode under some conditions. Furthermore, we find that there are massive bound KK modes of the $q-$form field, which are localized on this type $p-$branes.

5.632215

3.832848

5.091792

4.316286

4.38982

4.395274

4.308007

4.40706

4.142387

5.124545

4.427515

4.679177

5.05251

4.642129

4.566757

4.689223

4.710753

4.601219

4.705392

4.867816

4.708801

1201.0176

Joseph Ben Geloun

Joseph Ben Geloun and Dine Ousmane Samary

3D Tensor Field Theory: Renormalization and One-loop $\beta$-functions

42 pages, 14 figures; improved version, some statements corrected, more comments

null

pi-qg-252; ICMPA-MPA/2011/018

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

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

We prove that the rank 3 analogue of the tensor model defined in [arXiv:1111.4997 [hep-th]] is renormalizable at all orders of perturbation. The proof is given in the momentum space. The one-loop $\gamma$- and $\beta$-functions of the model are also determined. We find that the model with a unique coupling constant for all interactions and a unique wave function renormalization is asymptotically free in the UV.

[ { "created": "Fri, 30 Dec 2011 20:09:46 GMT", "version": "v1" }, { "created": "Fri, 21 Sep 2012 00:32:41 GMT", "version": "v2" } ]

2015-03-19

[ [ "Geloun", "Joseph Ben", "" ], [ "Samary", "Dine Ousmane", "" ] ]

We prove that the rank 3 analogue of the tensor model defined in [arXiv:1111.4997 [hep-th]] is renormalizable at all orders of perturbation. The proof is given in the momentum space. The one-loop $\gamma$- and $\beta$-functions of the model are also determined. We find that the model with a unique coupling constant for all interactions and a unique wave function renormalization is asymptotically free in the UV.

6.917367

6.367405

7.186131

6.845708

7.994757

7.994913

7.327034

6.641407

6.812275

8.583707

6.315494

6.612018

6.879152

6.542913

6.574791

6.239548

6.684752

6.189635

6.741848

6.901993

6.447919

hep-th/9307068

null

Cardoso de Melo, M.C. Nemes and Saulo C.S. Silva

Axial Currents in Electrodynamics P.C.R

9 pages IFUSP/P-1057

null

hep-th

null

In the present work we argue that the usual assumption that magnetic currents possess the vector structure characteristic of electric currents may be the source of several difficulties in the theory of magnetic monopoles. We propose an {\it axial} magnetic current instead and show that such difficulties are solved. Charge quantization is shown to be intimately connected with results of theories of discrete space time.

[ { "created": "Fri, 9 Jul 1993 14:41:48 GMT", "version": "v1" } ]

2007-05-23

[ [ "de Melo", "Cardoso", "" ], [ "Nemes", "M. C.", "" ], [ "Silva", "Saulo C. S.", "" ] ]

In the present work we argue that the usual assumption that magnetic currents possess the vector structure characteristic of electric currents may be the source of several difficulties in the theory of magnetic monopoles. We propose an {\it axial} magnetic current instead and show that such difficulties are solved. Charge quantization is shown to be intimately connected with results of theories of discrete space time.

16.533001

15.844219

15.965541

16.493881

16.543264

15.663308

16.258579

17.005125

13.758859

15.609628

16.796528

16.812286

15.060666

15.160939

15.33549

16.022659

14.935777

15.930476

16.061937

14.862144

15.637389

2310.15966

Tancredi Schettini Gherardini

R. Alawadhi, D. Angella, A. Leonardo and T. Schettini Gherardini

Constructing and Machine Learning Calabi-Yau Five-folds

40 pages, 8 tables, 2 figures; v2: published in Fortschritte der Physik - Progress of Physics, minor changes in the introduction, conclusion and acknowledgements, references added

Fortschr. Phys. 2023, 2300262

10.1002/prop.202300262

null

hep-th cs.LG math.AG

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

We construct all possible complete intersection Calabi-Yau five-folds in a product of four or less complex projective spaces, with up to four constraints. We obtain $27068$ spaces, which are not related by permutations of rows and columns of the configuration matrix, and determine the Euler number for all of them. Excluding the $3909$ product manifolds among those, we calculate the cohomological data for $12433$ cases, i.e. $53.7 \%$ of the non-product spaces, obtaining $2375$ different Hodge diamonds. The dataset containing all the above information is available at https://www.dropbox.com/scl/fo/z7ii5idt6qxu36e0b8azq/h?rlkey=0qfhx3tykytduobpld510gsfy&dl=0 . The distributions of the invariants are presented, and a comparison with the lower-dimensional analogues is discussed. Supervised machine learning is performed on the cohomological data, via classifier and regressor (both fully connected and convolutional) neural networks. We find that $h^{1,1}$ can be learnt very efficiently, with very high $R^2$ score and an accuracy of $96\%$, i.e. $96 \%$ of the predictions exactly match the correct values. For $h^{1,4},h^{2,3}, \eta$, we also find very high $R^2$ scores, but the accuracy is lower, due to the large ranges of possible values.

[ { "created": "Tue, 24 Oct 2023 16:07:08 GMT", "version": "v1" }, { "created": "Tue, 9 Jan 2024 19:00:00 GMT", "version": "v2" } ]

2024-01-11

[ [ "Alawadhi", "R.", "" ], [ "Angella", "D.", "" ], [ "Leonardo", "A.", "" ], [ "Gherardini", "T. Schettini", "" ] ]

We construct all possible complete intersection Calabi-Yau five-folds in a product of four or less complex projective spaces, with up to four constraints. We obtain $27068$ spaces, which are not related by permutations of rows and columns of the configuration matrix, and determine the Euler number for all of them. Excluding the $3909$ product manifolds among those, we calculate the cohomological data for $12433$ cases, i.e. $53.7 \%$ of the non-product spaces, obtaining $2375$ different Hodge diamonds. The dataset containing all the above information is available at https://www.dropbox.com/scl/fo/z7ii5idt6qxu36e0b8azq/h?rlkey=0qfhx3tykytduobpld510gsfy&dl=0 . The distributions of the invariants are presented, and a comparison with the lower-dimensional analogues is discussed. Supervised machine learning is performed on the cohomological data, via classifier and regressor (both fully connected and convolutional) neural networks. We find that $h^{1,1}$ can be learnt very efficiently, with very high $R^2$ score and an accuracy of $96\%$, i.e. $96 \%$ of the predictions exactly match the correct values. For $h^{1,4},h^{2,3}, \eta$, we also find very high $R^2$ scores, but the accuracy is lower, due to the large ranges of possible values.

11.817969

13.326012

14.390966

12.536762

14.637568

15.940302

14.743103

14.165386

13.576651

15.808612

12.926383

12.829258

12.412162

12.299839

12.643515

12.411662

11.945243

12.353482

11.691508

12.238372

11.595494

2210.07180

Behnam Pourhassan

Behnam Pourhassan, \.Izzet Sakall{\i}

Non-perturbative correction to the Horava-Lifshitz black hole thermodynamics

23 pages, 15 figures

Chinese Journal of Physics 79 (2022) 322-338

10.1016/j.cjph.2022.09.006

null

hep-th

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

In this paper, we consider non-perturbative quantum correction which appears as exponential term in the black hole entropy. We study consequence thermodynamics of the Ho\v{r}ava-Lifshitz black hole at quantum scales. We consider two cases of Kehagius-Sfetsos and Lu-Mei-Pop solutions and investigate black hole stability. We find that non-perturbative quantum correction yields to an instability at infinitesimal horizon radius of Kehagius-Sfetsos solution. On the other hand, non-perturbative quantum correction yields to the stability of Lu-Mei-Pop solution. Hence, we find that holographic dual of Lu-Mei-Pop black hole (in absence of non-perturbative quantum correction) is the interacting gas of point like particles, while it is Van der Waals fluid in presence of non-perturbative quantum correction.

[ { "created": "Mon, 26 Sep 2022 20:20:58 GMT", "version": "v1" } ]

2022-10-14

[ [ "Pourhassan", "Behnam", "" ], [ "Sakallı", "İzzet", "" ] ]

In this paper, we consider non-perturbative quantum correction which appears as exponential term in the black hole entropy. We study consequence thermodynamics of the Ho\v{r}ava-Lifshitz black hole at quantum scales. We consider two cases of Kehagius-Sfetsos and Lu-Mei-Pop solutions and investigate black hole stability. We find that non-perturbative quantum correction yields to an instability at infinitesimal horizon radius of Kehagius-Sfetsos solution. On the other hand, non-perturbative quantum correction yields to the stability of Lu-Mei-Pop solution. Hence, we find that holographic dual of Lu-Mei-Pop black hole (in absence of non-perturbative quantum correction) is the interacting gas of point like particles, while it is Van der Waals fluid in presence of non-perturbative quantum correction.

6.889115

7.258035

6.538827

6.682812

7.176417

7.719055

7.19267

6.067879

7.353796

7.106394

7.018899

6.623944

6.50632

6.431376

6.476462

6.779409

6.595039

6.618032

6.563473

6.588315

6.722637

hep-th/0609150

Niayesh Afshordi

Niayesh Afshordi (ITC, Harvard), Daniel J.H. Chung, Ghazal Geshnizjani (UW-Madison)

Cuscuton: A Causal Field Theory with an Infinite Speed of Sound

11 pages, 1 figure, added discussion of "coupled cuscuton", matches the published version in PRD

Phys.Rev.D75:083513,2007

10.1103/PhysRevD.75.083513

null

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

null

We introduce a model of scalar field dark energy, Cuscuton, which can be realized as the incompressible (or infinite speed of sound) limit of a scalar field theory with a non-canonical kinetic term (or k-essence). Even though perturbations of Cuscuton propagate superluminally, we show that they have a locally degenerate phase space volume (or zero entropy), implying that they cannot carry any microscopic information, and thus the theory is causal. Even coupling to ordinary scalar fields cannot lead to superluminal signal propagation. Furthermore, we show that the family of constant field hypersurfaces are the family of Constant Mean Curvature (CMC) hypersurfaces, which are the analogs of soap films (or soap bubbles) in a Euclidian space. This enables us to find the most general solution in 1+1 dimensions, whose properties motivate conjectures for global degeneracy of the phase space in higher dimensions. Finally, we show that the Cuscuton action can model the continuum limit of the evolution of a field with discrete degrees of freedom and argue why it is protected against quantum corrections at low energies. While this paper mainly focuses on interesting features of Cuscuton in a Minkowski spacetime, a companion paper (astro-ph/0702002) examines cosmology with Cuscuton dark energy.

[ { "created": "Thu, 21 Sep 2006 21:18:54 GMT", "version": "v1" }, { "created": "Sat, 28 Apr 2007 01:08:21 GMT", "version": "v2" } ]

2008-11-26

[ [ "Afshordi", "Niayesh", "", "ITC, Harvard" ], [ "Chung", "Daniel J. H.", "", "UW-Madison" ], [ "Geshnizjani", "Ghazal", "", "UW-Madison" ] ]

We introduce a model of scalar field dark energy, Cuscuton, which can be realized as the incompressible (or infinite speed of sound) limit of a scalar field theory with a non-canonical kinetic term (or k-essence). Even though perturbations of Cuscuton propagate superluminally, we show that they have a locally degenerate phase space volume (or zero entropy), implying that they cannot carry any microscopic information, and thus the theory is causal. Even coupling to ordinary scalar fields cannot lead to superluminal signal propagation. Furthermore, we show that the family of constant field hypersurfaces are the family of Constant Mean Curvature (CMC) hypersurfaces, which are the analogs of soap films (or soap bubbles) in a Euclidian space. This enables us to find the most general solution in 1+1 dimensions, whose properties motivate conjectures for global degeneracy of the phase space in higher dimensions. Finally, we show that the Cuscuton action can model the continuum limit of the evolution of a field with discrete degrees of freedom and argue why it is protected against quantum corrections at low energies. While this paper mainly focuses on interesting features of Cuscuton in a Minkowski spacetime, a companion paper (astro-ph/0702002) examines cosmology with Cuscuton dark energy.

8.617132

9.444386

8.933101

8.877639

9.799777

9.338497

9.602202

8.896962

9.352992

10.057929

9.141806

8.707724

8.453912

8.444649

8.64709

8.459945

8.756696

8.516134

8.534483

8.801039

8.704871

hep-th/0307110

Kleihaus

B. Kleihaus, J. Kunz, Ya. Shnir

Monopole--Antimonopole Chains

9 pages, 2 figures

Phys.Lett. B570 (2003) 237-243

10.1016/j.physletb.2003.07.059

null

hep-th

null

We present new static axially symmetric solutions of SU(2) Yang-Mills-Higgs theory, representing chains of monopoles and antimonopoles in static equilibrium. They correspond to saddlepoints of the energy functional and exist both in the topologically trivial sector and in the sector with topological charge one.

[ { "created": "Fri, 11 Jul 2003 15:05:42 GMT", "version": "v1" } ]

2009-11-10

[ [ "Kleihaus", "B.", "" ], [ "Kunz", "J.", "" ], [ "Shnir", "Ya.", "" ] ]

We present new static axially symmetric solutions of SU(2) Yang-Mills-Higgs theory, representing chains of monopoles and antimonopoles in static equilibrium. They correspond to saddlepoints of the energy functional and exist both in the topologically trivial sector and in the sector with topological charge one.

6.989469

4.741693

6.138505

5.178348

5.421638

5.010586

5.449425

5.219883

4.841705

6.586552

5.615475

5.910218

6.206819

6.254067

5.863115

5.578526

6.128685

5.962013

6.209333

6.728874

6.031798

1010.6075

Hiroaki Tanaka

Tatsuma Nishioka and Hiroaki Tanaka

Lifshitz-like Janus Solutions

19 pages, 5 figures; v2: minor corrections

JHEP 1102:023,2011

10.1007/JHEP02(2011)023

PUPT-2355, UT-10-19

hep-th

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

We construct Lifshitz-like Janus solutions in the Einstein-scalar theory with cosmological constant in arbitrary dimensions. They are holographically dual to z=2 Lifshitz-like field theories with a defect. The four-dimensional solutions can be embedded into type IIB supergravity as dilatonic deformations of AdS_5 x Y^5 with three-form field strengths, where Y^5 is a five-dimensional Einstein manifold.

[ { "created": "Thu, 28 Oct 2010 20:01:16 GMT", "version": "v1" }, { "created": "Thu, 18 Nov 2010 09:30:01 GMT", "version": "v2" } ]

2011-02-16

[ [ "Nishioka", "Tatsuma", "" ], [ "Tanaka", "Hiroaki", "" ] ]

We construct Lifshitz-like Janus solutions in the Einstein-scalar theory with cosmological constant in arbitrary dimensions. They are holographically dual to z=2 Lifshitz-like field theories with a defect. The four-dimensional solutions can be embedded into type IIB supergravity as dilatonic deformations of AdS_5 x Y^5 with three-form field strengths, where Y^5 is a five-dimensional Einstein manifold.

6.990297

5.356006

8.050158

5.287654

5.431535

5.192646

5.935981

5.700884

5.573814

8.684916

5.13661

5.79904

6.99858

5.75109

5.9186

5.771945

5.865502

5.459171

5.633807

6.928762

5.497391

0704.3118

S. Ole Warnaar

S Ole Warnaar

Proof of the Flohr-Grabow-Koehn conjectures for characters of logarithmic conformal field theory

13 pages, 1 figure

J.Phys.A40:12243,2007

10.1088/1751-8113/40/40/015

null

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

null

In a recent paper Flohr, Grabow and Koehn conjectured that the characters of the logarithmic conformal field theory c_{k,1}, of central charge c=1-6(k-1)^2/k, admit fermionic representations labelled by the Lie algebra D_k. In this note we provide a simple analytic proof of this conjecture.

[ { "created": "Tue, 24 Apr 2007 04:57:30 GMT", "version": "v1" } ]

2008-11-26

[ [ "Warnaar", "S Ole", "" ] ]

In a recent paper Flohr, Grabow and Koehn conjectured that the characters of the logarithmic conformal field theory c_{k,1}, of central charge c=1-6(k-1)^2/k, admit fermionic representations labelled by the Lie algebra D_k. In this note we provide a simple analytic proof of this conjecture.

12.32841

9.548771

13.448978

10.249321

8.280554

8.692592

10.809762

8.991374

10.225123

12.931089

9.924461

10.236573

11.90365

10.974889

11.202785

11.612244

11.292479

11.518209

10.512555

11.686974

10.666985

hep-th/9610238

Daniel J. Waldram

Andre Lukas, Burt A. Ovrut, Daniel Waldram

String and M-Theory Cosmological Solutions with Ramond Forms

34 pages, Latex, 3 figures using epsf

Nucl.Phys. B495 (1997) 365-399

10.1016/S0550-3213(97)00194-6

UPR-723T, IASSNS-HEP-96/107, PUPT-1656

hep-th

null

A general framework for studying a large class of cosmological solutions of the low-energy limit of type II string theory and of M-theory, with non-trivial Ramond form fields excited, is presented. The framework is applicable to spacetimes decomposable into a set of flat or, more generally, maximally symmetric spatial subspaces, with multiple non-trivial form fields spanning one or more of the subspaces. It is shown that the corresponding low-energy equations of motion are equivalent to those describing a particle moving in a moduli space consisting of the scale factors of the subspaces together with the dilaton. The choice of which form fields are excited controls the potential term in the particle equations. Two classes of exact solutions are given, those corresponding to exciting only a single form and those with multiple forms excited which correspond to Toda theories. Although typically these solutions begin or end in a curvature singularity, there is a subclass with positive spatial curvature which appears to be singularity free. Elements of this class are directly related to certain black p-brane solutions.

[ { "created": "Wed, 30 Oct 1996 02:36:47 GMT", "version": "v1" }, { "created": "Thu, 31 Oct 1996 09:03:47 GMT", "version": "v2" }, { "created": "Thu, 12 Dec 1996 17:01:24 GMT", "version": "v3" } ]

2009-10-30

[ [ "Lukas", "Andre", "" ], [ "Ovrut", "Burt A.", "" ], [ "Waldram", "Daniel", "" ] ]

A general framework for studying a large class of cosmological solutions of the low-energy limit of type II string theory and of M-theory, with non-trivial Ramond form fields excited, is presented. The framework is applicable to spacetimes decomposable into a set of flat or, more generally, maximally symmetric spatial subspaces, with multiple non-trivial form fields spanning one or more of the subspaces. It is shown that the corresponding low-energy equations of motion are equivalent to those describing a particle moving in a moduli space consisting of the scale factors of the subspaces together with the dilaton. The choice of which form fields are excited controls the potential term in the particle equations. Two classes of exact solutions are given, those corresponding to exciting only a single form and those with multiple forms excited which correspond to Toda theories. Although typically these solutions begin or end in a curvature singularity, there is a subclass with positive spatial curvature which appears to be singularity free. Elements of this class are directly related to certain black p-brane solutions.

8.817455

8.756055

8.870055

8.714735

9.158693

8.811872

8.950522

8.672254

8.65248

9.713322

8.418177

8.123855

8.813371

8.758815

8.428628

8.261057

8.26569

8.422871

8.509624

8.992765

8.299761

2302.08307

Ahmed Farag Ali

Ahmed Farag Ali, Emmanuel Moulay, Kimet Jusufi, Hassan Alshal

Unitary symmetries in wormhole geometry and its thermodynamics

20 pages, revtex4, 1 figure, Published in European Physical Journal C

Eur. Phys. J. C 82, 1170 (2022)

10.1140/epjc/s10052-022-11095-1

null

hep-th gr-qc quant-ph

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

From a geometric point of view, we show that the unitary symmetries $U(1)$ and $SU(2)$ stem fundamentally from Schwarzschild and Reissner-Nordstr\"om wormhole geometry through spacetime complexification. Then, we develop quantum tunneling which makes these wormholes traversable for particles. Finally, this leads to wormhole thermodynamics.

[ { "created": "Fri, 30 Dec 2022 19:29:34 GMT", "version": "v1" } ]

2023-02-17

[ [ "Ali", "Ahmed Farag", "" ], [ "Moulay", "Emmanuel", "" ], [ "Jusufi", "Kimet", "" ], [ "Alshal", "Hassan", "" ] ]

From a geometric point of view, we show that the unitary symmetries $U(1)$ and $SU(2)$ stem fundamentally from Schwarzschild and Reissner-Nordstr\"om wormhole geometry through spacetime complexification. Then, we develop quantum tunneling which makes these wormholes traversable for particles. Finally, this leads to wormhole thermodynamics.

12.141302

12.266971

10.299032

11.062253

12.257887

11.823112

11.710481

11.63491

12.179004

11.548322

10.999106

11.122334

10.553585

10.690239

10.768786

11.15311

10.727606

10.383607

10.922799

10.200484

11.167268

2108.02735

Taniya Mandal

Taniya Mandal, Arunabha Saha

Large $D$ Black Holes in an environment

36 pages, 2 tables

null

hep-th gr-qc

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

We construct dynamical black hole solutions to Einstein Equations in presence of matter in the large $D$ limit. The matter stress tensors that we consider are weak in the sense that they source asymptotic spacetimes with internal curvatures of the order of $\mathcal{O}(D^0)$. Apart from this, we work with a generic stress tensor demanding only that the stress tensor satisfies the conservation equations. The black hole solutions are obtained in terms of the dual non-gravitational picture of membranes propagating in spacetimes equivalent to the asymptotes of the black holes. We obtain the metric solutions to the second sub-leading order in $1/D$. We also obtain the equations governing the dual membranes up to the first sub-leading order in $1/D$.

[ { "created": "Thu, 5 Aug 2021 16:55:22 GMT", "version": "v1" } ]

2021-08-06

[ [ "Mandal", "Taniya", "" ], [ "Saha", "Arunabha", "" ] ]

We construct dynamical black hole solutions to Einstein Equations in presence of matter in the large $D$ limit. The matter stress tensors that we consider are weak in the sense that they source asymptotic spacetimes with internal curvatures of the order of $\mathcal{O}(D^0)$. Apart from this, we work with a generic stress tensor demanding only that the stress tensor satisfies the conservation equations. The black hole solutions are obtained in terms of the dual non-gravitational picture of membranes propagating in spacetimes equivalent to the asymptotes of the black holes. We obtain the metric solutions to the second sub-leading order in $1/D$. We also obtain the equations governing the dual membranes up to the first sub-leading order in $1/D$.

9.598214

9.047396

9.119071

8.312351

9.215229

9.520534

9.382464

8.758951

8.968853

9.984996

8.727671

9.492605

9.258513

9.112918

9.102458

9.338203

9.427589

9.624965

9.403617

9.628887

9.308126

hep-th/9802024

Phillial Oh

Integrable Extension of Nonlinear Sigma Model

11 pages, Latex

J.Phys. A31 (1998) L325-L330

null

SNUTP/98-005

hep-th

null

We propose an integrable extension of nonlinear sigma model on the target space of Hermitian symmetric space (HSS). Starting from a discussion of soliton solutions of O(3) model and an integrally extended version of it, we construct general theory defined on arbitrary HSS by using the coadjoint orbit method. It is based on the exploitation of a covariantized canonical structure on HSS. This term results in an additional first-order derivative term in the equation of motion, which accommodates the zero curvature representation. Infinite conservation laws of nonlocal charges in this model are derived.

[ { "created": "Thu, 5 Feb 1998 07:11:30 GMT", "version": "v1" } ]

2007-05-23

[ [ "Oh", "Phillial", "" ] ]

We propose an integrable extension of nonlinear sigma model on the target space of Hermitian symmetric space (HSS). Starting from a discussion of soliton solutions of O(3) model and an integrally extended version of it, we construct general theory defined on arbitrary HSS by using the coadjoint orbit method. It is based on the exploitation of a covariantized canonical structure on HSS. This term results in an additional first-order derivative term in the equation of motion, which accommodates the zero curvature representation. Infinite conservation laws of nonlocal charges in this model are derived.

14.105829

12.603144

15.974063

12.667068

13.083221

13.530635

14.430898

13.076122

12.977285

15.366465

13.31882

13.318684

13.601192

12.992259

12.898112

13.109178

12.643355

13.047115

13.129928

14.349182

12.803454

1711.04832

Vasilis Niarchos

Adi Armoni and Vasilis Niarchos

Phases of QCD$_3$ from Non-SUSY Seiberg Duality and Brane Dynamics

33 pages, 7 figures, 4 tables; v2 minor cosmetic changes and addition of remarks

Phys. Rev. D 97, 106001 (2018)

10.1103/PhysRevD.97.106001

DCPT-17/35

hep-th

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

We consider a non-supersymmetric USp Yang-Mills Chern-Simons gauge theory coupled to fundamental flavours. The theory is realised in type IIB string theory via an embedding in a Hanany-Witten brane configuration which includes an orientifold and anti-branes. We argue that the theory admits a magnetic Seiberg dual. Using the magnetic dual we identify dynamics in field theory and brane physics that correspond to various phases, obtaining a better understanding of 3d bosonization and dynamical breaking of flavour symmetry in USp QCD$_3$ theory. In field theory both phases correspond to magnetic 'squark' condensation. In string theory they correspond to open string tachyon condensation and brane reconnection. We also discuss other phases where the magnetic 'squark' is massive. Finally, we briefly comment on the case of unitary gauge groups.

[ { "created": "Mon, 13 Nov 2017 20:17:12 GMT", "version": "v1" }, { "created": "Thu, 23 Nov 2017 21:08:56 GMT", "version": "v2" } ]

2018-05-09

[ [ "Armoni", "Adi", "" ], [ "Niarchos", "Vasilis", "" ] ]

We consider a non-supersymmetric USp Yang-Mills Chern-Simons gauge theory coupled to fundamental flavours. The theory is realised in type IIB string theory via an embedding in a Hanany-Witten brane configuration which includes an orientifold and anti-branes. We argue that the theory admits a magnetic Seiberg dual. Using the magnetic dual we identify dynamics in field theory and brane physics that correspond to various phases, obtaining a better understanding of 3d bosonization and dynamical breaking of flavour symmetry in USp QCD$_3$ theory. In field theory both phases correspond to magnetic 'squark' condensation. In string theory they correspond to open string tachyon condensation and brane reconnection. We also discuss other phases where the magnetic 'squark' is massive. Finally, we briefly comment on the case of unitary gauge groups.

10.691637

9.750731

12.154301

10.06422

10.679515

9.535689

10.302135

10.238198

10.18708

12.171616

9.112447

9.921603

10.940208

10.297526

10.093646

9.70621

10.046141

9.971265

9.904092

10.740046

9.96865

1008.4505

Eugenio Megias

E. Megias, H.J. Pirner, K.Veschgini

Thermodynamics of AdS/QCD within the 5D dilaton-gravity model

4 pages, 4 figures. To appear in the proceedings of 15th International Conference in Quantum Chromodynamics (QCD 10), Montpellier, France, 28 Jun - 3 Jul 2010

Nucl.Phys.Proc.Suppl.207-208:333-336,2010

10.1016/j.nuclphysbps.2010.10.082

null

hep-th

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

We calculate the pressure, entropy density, trace anomaly and speed of sound of the gluon plasma using the dilaton potential of Ref. arXiv:0911.0627[hep-ph] in the dilaton-gravity theory of AdS/QCD. The finite temperature observables are calculated from the Black Hole solutions of the Einstein equations, and using the Bekenstein-Hawking equality of the entropy with the area of the horizon. Renormalization is well defined, because the T=0 theory has asymptotic freedom. Comparison with lattice simulations is made.

[ { "created": "Thu, 26 Aug 2010 13:23:48 GMT", "version": "v1" } ]

2011-02-03

[ [ "Megias", "E.", "" ], [ "Pirner", "H. J.", "" ], [ "Veschgini", "K.", "" ] ]

We calculate the pressure, entropy density, trace anomaly and speed of sound of the gluon plasma using the dilaton potential of Ref. arXiv:0911.0627[hep-ph] in the dilaton-gravity theory of AdS/QCD. The finite temperature observables are calculated from the Black Hole solutions of the Einstein equations, and using the Bekenstein-Hawking equality of the entropy with the area of the horizon. Renormalization is well defined, because the T=0 theory has asymptotic freedom. Comparison with lattice simulations is made.

9.190257

8.535316

7.500495

7.547176

10.825724

10.293662

9.618369

8.395448

7.280869

9.970566

8.772209

8.586903

7.884494

8.099635

8.840487

9.424463

9.003231

8.896619

8.17475

8.490072

8.486603

0906.5492

Franziska Synatschke

Holger Gies, Franziska Synatschke and Andreas Wipf

Supersymmetry breaking as a quantum phase transition

5 pages, 2 figures, discussion of results extended, version to appear as a Rapid Communication in Phys. Rev. D

null

10.1103/PhysRevD.80.101701

null

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

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

We explore supersymmetry breaking in the light of a rich fixed-point structure of two-dimensional supersymmetric Wess-Zumino models with one supercharge using the functional renormalization group (RG). We relate the dynamical breaking of supersymmetry to an RG relevant control parameter of the superpotential which is a common relevant direction of all fixed points of the system. Supersymmetry breaking can thus be understood as a quantum phase transition analogously to similar transitions in correlated fermion systems. Supersymmetry gives rise to a new superscaling relation between the critical exponent associated with the control parameter and the anomalous dimension of the field -- a scaling relation which is not known in standard spin systems.

[ { "created": "Tue, 30 Jun 2009 12:00:08 GMT", "version": "v1" }, { "created": "Thu, 19 Nov 2009 08:35:44 GMT", "version": "v2" } ]

2013-05-29

[ [ "Gies", "Holger", "" ], [ "Synatschke", "Franziska", "" ], [ "Wipf", "Andreas", "" ] ]

We explore supersymmetry breaking in the light of a rich fixed-point structure of two-dimensional supersymmetric Wess-Zumino models with one supercharge using the functional renormalization group (RG). We relate the dynamical breaking of supersymmetry to an RG relevant control parameter of the superpotential which is a common relevant direction of all fixed points of the system. Supersymmetry breaking can thus be understood as a quantum phase transition analogously to similar transitions in correlated fermion systems. Supersymmetry gives rise to a new superscaling relation between the critical exponent associated with the control parameter and the anomalous dimension of the field -- a scaling relation which is not known in standard spin systems.

8.499939

8.525264

9.505195

8.258656

8.504477

8.476013

8.202784

8.02238

7.929492

9.316784

8.588424

8.44712

8.995881

8.701493

8.575887

8.570752

8.437847

8.423134

8.304971

8.968368

8.279609

2101.08640

Jean Alexandre

Jean Alexandre and Janos Polonyi

Tunnelling and dynamical violation of the Null Energy Condition

7 pages, 1 figure

Phys. Rev. D 103, 105020 (2021)

10.1103/PhysRevD.103.105020

KCL-PH-TH/2021-01

hep-th gr-qc hep-ph

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

The Null Energy Condition is considered the most fundamental of the energy conditions, on which several key results, such as the singularity theorems, are based. The Casimir effect is one of the rare equilibrium mechanisms by which it is breached without invoking modified gravity or non-minimal couplings to exotic matter. In this work we propose an independent dynamical mechanism by which it is violated, with the only ingredients being standard (but non-perturbative) QFT and a minimally coupled scalar field in a double-well potential. As for the Casimir effect, we explain why the Averaged Null Energy Condition should not be violated by this mechanism. Nevertheless, the transient behaviour could have profound impacts in Early Universe Cosmology.

[ { "created": "Thu, 21 Jan 2021 14:36:34 GMT", "version": "v1" }, { "created": "Thu, 29 Apr 2021 15:41:56 GMT", "version": "v2" } ]

2021-05-26

[ [ "Alexandre", "Jean", "" ], [ "Polonyi", "Janos", "" ] ]

The Null Energy Condition is considered the most fundamental of the energy conditions, on which several key results, such as the singularity theorems, are based. The Casimir effect is one of the rare equilibrium mechanisms by which it is breached without invoking modified gravity or non-minimal couplings to exotic matter. In this work we propose an independent dynamical mechanism by which it is violated, with the only ingredients being standard (but non-perturbative) QFT and a minimally coupled scalar field in a double-well potential. As for the Casimir effect, we explain why the Averaged Null Energy Condition should not be violated by this mechanism. Nevertheless, the transient behaviour could have profound impacts in Early Universe Cosmology.

10.359026

11.771759

10.862916

10.15621

10.643729

10.25299

10.736915

10.661109

10.306384

10.598872

10.545079

10.202928

9.927521

9.963135

10.246657

10.217973

10.584793

9.943702

9.968148

10.139377

10.425013

2205.14402

Vladimir Dzhunushaliev

Vladimir Dzhunushaliev and Vladimir Folomeev

Quasiparticles in nonperturbative vacuum

7 pages, 3 figures

null

hep-th hep-ph

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

The model of nonperturbative vacuum in SU(2) Yang-Mills theory coupled to a nonlinear spinor field is suggested. By analogy with Abelian magnetic monopole dominance in quantum chromodynamics, it is assumed that the dominant contribution to such vacuum is coming from quasiparticles described by dipolelike solutions existing in this theory. Using an assumption of the behavior of the number density of quasiparticles whose energy approaches infinity, we derive an approximate expression for the energy density of such nonperturbative vacuum, which turns out to be finite, unlike an infinite energy density of perturbative vacuum. Using characteristic values of the parameters appearing in the expression for the nonperturbative energy density, it is shown that this density may be of the order of the energy density associated with Einstein's cosmological constant. The physical interpretation of the spinor field self-coupling constant as a characteristic distance between quasiparticles is suggested. The questions of experimental verification of the nonperturbative vacuum model under consideration and of determining its pressure are briefly discussed.

[ { "created": "Sat, 28 May 2022 11:28:26 GMT", "version": "v1" } ]

2022-05-31

[ [ "Dzhunushaliev", "Vladimir", "" ], [ "Folomeev", "Vladimir", "" ] ]

The model of nonperturbative vacuum in SU(2) Yang-Mills theory coupled to a nonlinear spinor field is suggested. By analogy with Abelian magnetic monopole dominance in quantum chromodynamics, it is assumed that the dominant contribution to such vacuum is coming from quasiparticles described by dipolelike solutions existing in this theory. Using an assumption of the behavior of the number density of quasiparticles whose energy approaches infinity, we derive an approximate expression for the energy density of such nonperturbative vacuum, which turns out to be finite, unlike an infinite energy density of perturbative vacuum. Using characteristic values of the parameters appearing in the expression for the nonperturbative energy density, it is shown that this density may be of the order of the energy density associated with Einstein's cosmological constant. The physical interpretation of the spinor field self-coupling constant as a characteristic distance between quasiparticles is suggested. The questions of experimental verification of the nonperturbative vacuum model under consideration and of determining its pressure are briefly discussed.

7.550817

8.045405

7.631799

7.615764

7.569765

8.119933

7.287554

7.337658

7.502934

8.253184

7.117311

7.492188

7.380085

7.221399

7.291414

7.207307

7.26456

7.293609

7.415601

7.461698

7.222767

hep-th/0105034

Savas Dimopoulos

Soft Supersymmetry Breaking and the Supersymmetric Standard Model

Invited talk presented at the "Thirty Years of Supersymmetry" Symposium, University of Minnesota, October 13-15, 2000

Nucl.Phys.Proc.Suppl. 101 (2001) 183-194

10.1016/S0920-5632(01)01504-3

null

hep-th hep-ph

null

We recall how the idea of Softly Broken Supersymmetry led to the construction of the Supersymmetric Standard Model in 1981. Its first prediction, the supersymmetric unification of gauge couplings, was conclusively verified by the LEP and SLC experiments 10 years later. Its other predictions include: the existence of superparticles at the electroweak scale; a stable lightest superparticle (LSP) with a mass of $\sim 100$ GeV, anticipated to be a neutral electroweak gaugino; the universality of scalar and gaugino masses at the unification scale. The original motivation for the model, solving the hierarchy problem, indicates that the superparticles should be discovered at the LHC or the TeVatron.

[ { "created": "Thu, 3 May 2001 12:06:18 GMT", "version": "v1" } ]

2009-11-07

[ [ "Dimopoulos", "Savas", "" ] ]

We recall how the idea of Softly Broken Supersymmetry led to the construction of the Supersymmetric Standard Model in 1981. Its first prediction, the supersymmetric unification of gauge couplings, was conclusively verified by the LEP and SLC experiments 10 years later. Its other predictions include: the existence of superparticles at the electroweak scale; a stable lightest superparticle (LSP) with a mass of $\sim 100$ GeV, anticipated to be a neutral electroweak gaugino; the universality of scalar and gaugino masses at the unification scale. The original motivation for the model, solving the hierarchy problem, indicates that the superparticles should be discovered at the LHC or the TeVatron.

5.986433

6.38117

5.638156

5.279603

6.328303

6.412408

6.22196

6.195621

5.473776

5.806821

6.045381

5.685025

5.264384

5.421832

5.627159

5.622435

5.44159

5.573325

5.371924

5.259368

5.630844

hep-th/0003148

Shin'ichi Nojiri

Shin'ichi Nojiri, Octavio Obregon, Sergei D. Odintsov, and Sachiko Ogushi

Dilatonic Brane-World Black Holes, Gravity Localization and Newton Constant

LaTeX file, 25 pages

Phys.Rev.D62:064017,2000

10.1103/PhysRevD.62.064017

OCH-PP-150, NDA-FP-72

hep-th

null

The family of brane-world solutions of d+1-dimensional dilatonic gravity is presented. It includes flat brane with small cosmological constant and (anti) de Sitter brane, dilatonic brane-world black holes (Schwarzschild-(anti-) de Sitter, Kerr, etc). Gravitational and dilatonic perturbations around such branes are found. It is shown that near dilatonic brane-world black hole the gravity may be localized in a standard form. The brane corrections to Newton law are estimated. The proposal to take into account the dilaton coupled brane matter quantum effects is made. The corresponding effective action changes the structure of 4d de Sitter wall. RG flow of four-dimensional Newton constant in IR and UV is briefly discussed.

[ { "created": "Fri, 17 Mar 2000 06:39:48 GMT", "version": "v1" } ]

2009-09-17

[ [ "Nojiri", "Shin'ichi", "" ], [ "Obregon", "Octavio", "" ], [ "Odintsov", "Sergei D.", "" ], [ "Ogushi", "Sachiko", "" ] ]

The family of brane-world solutions of d+1-dimensional dilatonic gravity is presented. It includes flat brane with small cosmological constant and (anti) de Sitter brane, dilatonic brane-world black holes (Schwarzschild-(anti-) de Sitter, Kerr, etc). Gravitational and dilatonic perturbations around such branes are found. It is shown that near dilatonic brane-world black hole the gravity may be localized in a standard form. The brane corrections to Newton law are estimated. The proposal to take into account the dilaton coupled brane matter quantum effects is made. The corresponding effective action changes the structure of 4d de Sitter wall. RG flow of four-dimensional Newton constant in IR and UV is briefly discussed.

12.573715

11.243311

11.627434

11.137589

10.981652

11.643209

11.809092

10.491811

11.185961

13.976966

11.018713

11.650148

12.232905

11.791779

11.652354

12.016455

11.650851

11.601349

11.800656

12.243076

11.533153

1708.04934

Diego Julio Cirilo-Lombardo

Non-Riemannian geometry, Born-Infeld models and trace free gravitational equations

Accepted in JHEAp. Full analysis of recent research (with many appendices from previous works to be self contained) and new results. 41 pages plus a figure. New references and the figure at the final of the text. arXiv admin note: text overlap with arXiv:1409.8014 by other authors

null

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

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

Non-Riemannian generalization of the standard Born-Infeld (BI) Lagrangian is introduced and analized from a theory of gravitation with dynamical torsion field. The field equations derived from the proposed action lead to a trace free gravitational equation (non-riemannian analog to the trace free equation (TFE) from[1][2][3]) and the field equations for the torsion respectively. In this theoretical context, the fundamental constants arise all from the same geometry through geometrical invariant quantities (as from the curvature R). New results involving generation of primordial magnetic fields and the link with leptogenesis and baryogenesis are presented and possible explanations given. The physically admisible matter fields can be introduced in the model via the torsion vector h. Such fields include some dark matter candidates such as axion, right neutrinos and Majorana and moreover, physical observables as vorticity can be included in the same way. From a new wormhole soluton in a cosmological spacetime with torsion we also show that the primordial cosmic magnetic fields can originate from h? with the axion field (that is contained in h) the responsible to control the dynamics and stability of the cosmic magnetic field but not the magnetogenesis itself. The analisys of Grand Unified Theories (GUT) in the context of this model indicates (as we have been pointed out before) that the group manifold candidates are based in SO(10), SU(5) or some exceptional groups as E(6),E (7), etc.

[ { "created": "Tue, 15 Aug 2017 07:18:25 GMT", "version": "v1" }, { "created": "Fri, 18 Aug 2017 11:03:29 GMT", "version": "v2" } ]

2017-08-21

[ [ "Cirilo-Lombardo", "Diego Julio", "" ] ]

Non-Riemannian generalization of the standard Born-Infeld (BI) Lagrangian is introduced and analized from a theory of gravitation with dynamical torsion field. The field equations derived from the proposed action lead to a trace free gravitational equation (non-riemannian analog to the trace free equation (TFE) from[1][2][3]) and the field equations for the torsion respectively. In this theoretical context, the fundamental constants arise all from the same geometry through geometrical invariant quantities (as from the curvature R). New results involving generation of primordial magnetic fields and the link with leptogenesis and baryogenesis are presented and possible explanations given. The physically admisible matter fields can be introduced in the model via the torsion vector h. Such fields include some dark matter candidates such as axion, right neutrinos and Majorana and moreover, physical observables as vorticity can be included in the same way. From a new wormhole soluton in a cosmological spacetime with torsion we also show that the primordial cosmic magnetic fields can originate from h? with the axion field (that is contained in h) the responsible to control the dynamics and stability of the cosmic magnetic field but not the magnetogenesis itself. The analisys of Grand Unified Theories (GUT) in the context of this model indicates (as we have been pointed out before) that the group manifold candidates are based in SO(10), SU(5) or some exceptional groups as E(6),E (7), etc.

17.077431

18.397589

17.193298

17.056494

18.455318

18.983358

18.789274

18.108511

17.506069

18.440321

17.477474

16.745663

17.055937

16.571501

17.05773

16.426119

16.491991

16.192839

16.968128

16.631109

16.322357

1601.00450

Peter Mati

P. Mati

Critical scaling in the large-$N$ $O(N)$ model in higher dimensions and its possible connection to quantum gravity

the section about quantum gravity is improved; Appendix added; new references added; matches PRD version

Phys. Rev. D 94, 065025 (2016)

10.1103/PhysRevD.94.065025

null

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

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

The critical scaling of the large-$N$ $O(N)$ model in higher dimensions using the exact renormalization group equations has been studied, motivated by the recently found non-trivial fixed point in $4<d<6$ dimensions with metastable critical potential. Particular attention is paid to the case of $d=5$ where the scaling exponent $\nu$ has the value $1/3$, which coincides with the scaling exponent of quantum gravity in one fewer dimensions. Convincing results show that this relation could be generalized to arbitrary number of dimensions above five. Some aspects of AdS/CFT correspondence are also discussed.

[ { "created": "Mon, 4 Jan 2016 11:02:39 GMT", "version": "v1" }, { "created": "Sun, 31 Jan 2016 20:33:08 GMT", "version": "v2" }, { "created": "Tue, 27 Sep 2016 08:25:00 GMT", "version": "v3" } ]

2016-09-28

[ [ "Mati", "P.", "" ] ]

The critical scaling of the large-$N$ $O(N)$ model in higher dimensions using the exact renormalization group equations has been studied, motivated by the recently found non-trivial fixed point in $4<d<6$ dimensions with metastable critical potential. Particular attention is paid to the case of $d=5$ where the scaling exponent $\nu$ has the value $1/3$, which coincides with the scaling exponent of quantum gravity in one fewer dimensions. Convincing results show that this relation could be generalized to arbitrary number of dimensions above five. Some aspects of AdS/CFT correspondence are also discussed.

9.244131

8.43557

8.784762

8.041338

8.751977

9.181876

8.455883

8.46773

8.664086

8.954572

8.354455

8.166142

8.719918

8.219939

8.137432

8.145375

8.080696

8.157739

7.862291

8.653438

7.988096

hep-th/0408107

Jacobus Verbaarschot

K. Splittorff and J.J.M. Verbaarschot

QCD Dirac Spectra and the Toda Lattice

15 pages and 2 figures; Invited talk at Continous Advances in QCD 2004, Minneapolis, May 2004

null

10.1142/9789812702326_0002

SUNY-NTG-04/05

hep-th

null

We discuss the spectrum of the QCD Dirac operator both at zero and at nonzero baryon chemical potential. We show that, in the ergodic domain of QCD, the Dirac spectrum can be obtained from the replica limit of a Toda lattice equation. At zero chemical potential this method explains the factorization of known results into compact and noncompact integrals, and at nonzero chemical potential it allows us to derive the previously unknown microscopic spectral density.

[ { "created": "Thu, 12 Aug 2004 21:16:11 GMT", "version": "v1" } ]

2017-08-23

[ [ "Splittorff", "K.", "" ], [ "Verbaarschot", "J. J. M.", "" ] ]

We discuss the spectrum of the QCD Dirac operator both at zero and at nonzero baryon chemical potential. We show that, in the ergodic domain of QCD, the Dirac spectrum can be obtained from the replica limit of a Toda lattice equation. At zero chemical potential this method explains the factorization of known results into compact and noncompact integrals, and at nonzero chemical potential it allows us to derive the previously unknown microscopic spectral density.

8.765709

6.674479

7.850814

6.712787

7.366956

7.812143

7.63606

6.723132

7.079824

8.725798

7.735809

7.718804

8.285393

7.790822

7.784219

7.672576

7.450767

7.836975

7.73467

8.570525

8.238153

1304.1466

Korkut Bardakci

Scalar Field Theories On The World Sheet: Cutoff Independent Treatment

27 pages, 4 figures, typos corrected and minor revisions made

null

10.1007/JHEP06(2013)066

null

hep-th

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

Following earlier work on the same topic, we consider once more scalar field theories on the world sheet parametrized by the light cone coordinates. For most of the way, we use the same approach as in the previous work, but there is an important new development. To avoid the light cone singularity at p^{+}=0, one world sheet coordinate had to be discretized, introducing a cutoff into the model.In the earlier work, this cutoff could not be removed, making the model unreliable. In the present article, we show that, by a careful choice of the mass counter term, both the infrared singularity at p^{+}=0 and the ultraviolet mass divergences can be simultaneously eliminated. We therefore finally have a cutoff independent model on a continuously parametrized world sheet. We study this model in the mean field approximation, and as before, we find solitonic solutions. Quantizing the solitonic collective coordinates gives rise to a string like model. However, in contrast to the standard string model, the trajectories here are not in general linear but curved.

[ { "created": "Thu, 4 Apr 2013 18:59:26 GMT", "version": "v1" }, { "created": "Fri, 31 May 2013 23:01:16 GMT", "version": "v2" } ]

2015-06-15

[ [ "Bardakci", "Korkut", "" ] ]

Following earlier work on the same topic, we consider once more scalar field theories on the world sheet parametrized by the light cone coordinates. For most of the way, we use the same approach as in the previous work, but there is an important new development. To avoid the light cone singularity at p^{+}=0, one world sheet coordinate had to be discretized, introducing a cutoff into the model.In the earlier work, this cutoff could not be removed, making the model unreliable. In the present article, we show that, by a careful choice of the mass counter term, both the infrared singularity at p^{+}=0 and the ultraviolet mass divergences can be simultaneously eliminated. We therefore finally have a cutoff independent model on a continuously parametrized world sheet. We study this model in the mean field approximation, and as before, we find solitonic solutions. Quantizing the solitonic collective coordinates gives rise to a string like model. However, in contrast to the standard string model, the trajectories here are not in general linear but curved.

9.983777

10.01193

10.44663

9.252405

9.893805

9.720325

9.610151

9.392292

9.341536

11.250607

9.440419

9.636367

9.738074

9.665133

9.442862

9.47142

9.515194

9.525016

9.410196

10.048943

9.415754

hep-th/9711078

Washington Taylor

Daniel Kabat (IAS) and Washington Taylor (Princeton)

Spherical membranes in Matrix theory

21 pages LaTeX. V2: references added; V3: reference added, minor corrections

Adv.Theor.Math.Phys.2:181-206,1998

null

IASSNS-HEP-97/121, PUPT-1734

hep-th

null

We consider membranes of spherical topology in uncompactified Matrix theory. In general for large membranes Matrix theory reproduces the classical membrane dynamics up to 1/N corrections; for certain simple membrane configurations, the equations of motion agree exactly at finite N. We derive a general formula for the one-loop Matrix potential between two finite-sized objects at large separations. Applied to a graviton interacting with a round spherical membrane, we show that the Matrix potential agrees with the naive supergravity potential for large N, but differs at subleading orders in N. The result is quite general: we prove a pair of theorems showing that for large N, after removing the effects of gravitational radiation, the one-loop potential between classical Matrix configurations agrees with the long-distance potential expected from supergravity. As a spherical membrane shrinks, it eventually becomes a black hole. This provides a natural framework to study Schwarzschild black holes in Matrix theory.

[ { "created": "Tue, 11 Nov 1997 20:22:50 GMT", "version": "v1" }, { "created": "Fri, 21 Nov 1997 18:11:08 GMT", "version": "v2" }, { "created": "Sat, 31 Jan 1998 05:49:47 GMT", "version": "v3" } ]

2008-11-26

[ [ "Kabat", "Daniel", "", "IAS" ], [ "Taylor", "Washington", "", "Princeton" ] ]

We consider membranes of spherical topology in uncompactified Matrix theory. In general for large membranes Matrix theory reproduces the classical membrane dynamics up to 1/N corrections; for certain simple membrane configurations, the equations of motion agree exactly at finite N. We derive a general formula for the one-loop Matrix potential between two finite-sized objects at large separations. Applied to a graviton interacting with a round spherical membrane, we show that the Matrix potential agrees with the naive supergravity potential for large N, but differs at subleading orders in N. The result is quite general: we prove a pair of theorems showing that for large N, after removing the effects of gravitational radiation, the one-loop potential between classical Matrix configurations agrees with the long-distance potential expected from supergravity. As a spherical membrane shrinks, it eventually becomes a black hole. This provides a natural framework to study Schwarzschild black holes in Matrix theory.

12.253537

11.927962

12.75738

10.926031

12.760379

12.366934

11.150073

12.184519

11.056413

12.865732

11.660144

11.733608

12.426487

11.736174

11.683115

11.691731

11.833764

11.440193

11.691856

11.875564

11.521665

hep-th/0307221

Leonardo Rastelli

Davide Gaiotto, Nissan Itzhaki and Leonardo Rastelli

On the BCFT Description of Holes in the c=1 Matrix Model

LaTex, 7 pages

Phys.Lett. B575 (2003) 111-114

10.1016/j.physletb.2003.09.046

PUPT-2091

hep-th

null

We propose a Boundary Conformal Field Theory description of hole states in the c=1 matrix model.

[ { "created": "Tue, 22 Jul 2003 17:06:43 GMT", "version": "v1" } ]

2010-04-05

[ [ "Gaiotto", "Davide", "" ], [ "Itzhaki", "Nissan", "" ], [ "Rastelli", "Leonardo", "" ] ]

We propose a Boundary Conformal Field Theory description of hole states in the c=1 matrix model.

19.374897

9.448255

21.462364

10.706005

11.534534

11.380591

9.582251

10.268765

10.290306

19.506998

10.473916

11.30348

14.538651

10.930882

11.578126

11.320673

11.274382

11.022321

10.845783

14.672604

11.23798

1208.3204

Amir Esmaeil Mosaffa

Symmetric Orbifolds and Entanglement Entropy for Primary Excitations in Two Dimensional CFT

5 pages

null

hep-th cond-mat.stat-mech

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

We use the techniques in symmetric orbifolding to calculate the Entanglement Entropy of a single interval in a two dimensional conformal field theory on a circle which is excited to a pure highest weight state. This is achieved by calculating the Reney Entropy which is found in terms of a 2n-point function of primary operators, n being the replica number.

[ { "created": "Wed, 15 Aug 2012 20:06:53 GMT", "version": "v1" } ]

2012-08-17

[ [ "Mosaffa", "Amir Esmaeil", "" ] ]

We use the techniques in symmetric orbifolding to calculate the Entanglement Entropy of a single interval in a two dimensional conformal field theory on a circle which is excited to a pure highest weight state. This is achieved by calculating the Reney Entropy which is found in terms of a 2n-point function of primary operators, n being the replica number.

15.744776

14.442649

17.689991

12.776917

12.764079

14.006297

13.834119

11.727388

13.234318

17.939796

12.106719

15.160863

14.965115

14.232059

14.396029

13.502351

13.708774

14.790498

14.589786

14.613104

13.886443

1505.05174

Filipe Moura

On the temperature dependence of the absorption cross section for black holes in string theory

10 pages. arXiv admin note: substantial text overlap with arXiv:1406.2012

Int.J.Mod.Phys.D24(2015)09,1542011

10.1142/S0218271815420110

null

hep-th

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

We study the low frequency absorption cross section of spherically symmetric nonextremal d-dimensional black holes. In the presence of alpha' corrections, this quantity must have an explicit dependence on the Hawking temperature of the form 1/T_H. This property of the low frequency absorption cross section is shared by the D1-D5 system from type IIB superstring theory already at the classical level, without alpha' corrections. We apply our formula to the simplest example, the classical d-dimensional Reissner-Nordstrom solution, checking that the obtained formula for the cross section has a smooth extremal limit. We also apply it for a d-dimensional Tangherlini-like solution with alpha'^3 corrections.

[ { "created": "Tue, 19 May 2015 20:24:36 GMT", "version": "v1" } ]

2015-05-21

[ [ "Moura", "Filipe", "" ] ]

We study the low frequency absorption cross section of spherically symmetric nonextremal d-dimensional black holes. In the presence of alpha' corrections, this quantity must have an explicit dependence on the Hawking temperature of the form 1/T_H. This property of the low frequency absorption cross section is shared by the D1-D5 system from type IIB superstring theory already at the classical level, without alpha' corrections. We apply our formula to the simplest example, the classical d-dimensional Reissner-Nordstrom solution, checking that the obtained formula for the cross section has a smooth extremal limit. We also apply it for a d-dimensional Tangherlini-like solution with alpha'^3 corrections.

10.801211

9.768469

9.823529

9.061821

10.489552

8.80035

9.911519

9.25709

9.121123

10.945986

9.518354

9.501513

9.839331

9.380132

10.28773

10.05213

9.251271

9.291289

9.476502

10.162009

9.539362

2405.02623

Alessandra D'Alise

Michele Arzano, Alessandra D'Alise, Domenico Frattulillo

Entanglement entropy and horizon temperature in conformal quantum mechanics

21 pages, 0 figures

null

hep-th

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

The generators of radial conformal symmetries in Minkowski space-time can be put in correspondence with generators of time evolution in conformal quantum mechanics. Within this correspondence we show that in conformal quantum mechanics the state corresponding to the inertial vacuum for a conformally invariant field in Minkowski space-time has the structure of a thermofield double. The latter is built from a bipartite "vacuum state" corresponding to the ground state of the generators of hyperbolic time evolution. These can evolve states only within a portion of the time domain. When such generators correspond to conformal Killing vectors mapping a causal diamond in itself and generators of dilations, the temperature of the thermofield double reproduces, respectively, the diamond temperature and the Milne temperature found for massless fields in Minkowski space-time. Moreover, we compute the entanglement entropy associated to the thermofield double states obtaining a UV divergent logarithmic behaviour akin to known results in two-dimensional conformal field theory where the entangling boundary is point-like.

[ { "created": "Sat, 4 May 2024 09:46:17 GMT", "version": "v1" } ]

2024-05-07

[ [ "Arzano", "Michele", "" ], [ "D'Alise", "Alessandra", "" ], [ "Frattulillo", "Domenico", "" ] ]

The generators of radial conformal symmetries in Minkowski space-time can be put in correspondence with generators of time evolution in conformal quantum mechanics. Within this correspondence we show that in conformal quantum mechanics the state corresponding to the inertial vacuum for a conformally invariant field in Minkowski space-time has the structure of a thermofield double. The latter is built from a bipartite "vacuum state" corresponding to the ground state of the generators of hyperbolic time evolution. These can evolve states only within a portion of the time domain. When such generators correspond to conformal Killing vectors mapping a causal diamond in itself and generators of dilations, the temperature of the thermofield double reproduces, respectively, the diamond temperature and the Milne temperature found for massless fields in Minkowski space-time. Moreover, we compute the entanglement entropy associated to the thermofield double states obtaining a UV divergent logarithmic behaviour akin to known results in two-dimensional conformal field theory where the entangling boundary is point-like.

10.791769

9.792025

10.853588

10.215793

9.418729

9.31927

10.127444

9.157788

10.006824

12.760897

10.475567

10.724033

10.985327

10.669238

10.642143

10.544926

10.83091

10.133994

10.704581

11.266082

10.23895

hep-th/9303073

Francesco Toppan

E. Ivanov and F. Toppan

N=2 Superconformal Affine Liouville Theory

12 pages, latex, preprint ENSLAPP-L-422/93 and JINR E2-93-72

Phys.Lett. B309 (1993) 289-296

10.1016/0370-2693(93)90936-C

null

hep-th

null

We present a new supersymmetric integrable model: the $N=2$ superconformal affine Liouville theory. It interpolates between the $N=2$ super Liouville and $N=2$ super sine-Gordon theories and possesses a Lax representation on the complex affine Kac-Moody superalgebra ${\hat {sl(2| 2)^{(1)}}}$. We show that the higher spin $W_{1+\infty}$-type symmetry algebra of ordinary conformal affine Liouville theory extends to a $N=2\; W_{1/2 + \infty}$-type superalgebra.

[ { "created": "Thu, 11 Mar 1993 21:01:26 GMT", "version": "v1" } ]

2009-10-22

[ [ "Ivanov", "E.", "" ], [ "Toppan", "F.", "" ] ]

We present a new supersymmetric integrable model: the $N=2$ superconformal affine Liouville theory. It interpolates between the $N=2$ super Liouville and $N=2$ super sine-Gordon theories and possesses a Lax representation on the complex affine Kac-Moody superalgebra ${\hat {sl(2| 2)^{(1)}}}$. We show that the higher spin $W_{1+\infty}$-type symmetry algebra of ordinary conformal affine Liouville theory extends to a $N=2\; W_{1/2 + \infty}$-type superalgebra.

5.419055

5.082135

6.58096

5.043706

4.896661

5.471684

5.514709

5.122137

4.94354

7.027399

4.905427

5.035235

5.645376

4.989844

5.106049

4.987984

4.87432

5.094917

5.091815

5.520551

4.89718

hep-th/9411089

Sardanashvily Gennadi

G.Sardanashvily (Moscow State University)

Five Lectures on the Jet Methods in Field Theory

total 113 pp, LaTeX file

null

TP\94\223

hep-th

null

The fibre bundle formulation of gauge theory is generally accepted. The jet manifold machinery completes this formulation and provides the adequate mathematical description of dynamics of fields represented by sections of fibre bundles. Theory of differential operators, Lagrangian and Hamiltonian formalisms on bundles have utilized widely the language of jet manifolds. Moreover, when not restricted to principal connections, differential geometry also is phrased in jet terms. However, this powerful tool remains almost unknown to physicists. These Lectures give introduction to jet manifolds, Lagrangian and Hamiltonian formalisms in jet manifolds and their application to a number of fundamental field models.

[ { "created": "Sun, 13 Nov 1994 00:43:16 GMT", "version": "v1" } ]

2007-05-23

[ [ "Sardanashvily", "G.", "", "Moscow State University" ] ]

The fibre bundle formulation of gauge theory is generally accepted. The jet manifold machinery completes this formulation and provides the adequate mathematical description of dynamics of fields represented by sections of fibre bundles. Theory of differential operators, Lagrangian and Hamiltonian formalisms on bundles have utilized widely the language of jet manifolds. Moreover, when not restricted to principal connections, differential geometry also is phrased in jet terms. However, this powerful tool remains almost unknown to physicists. These Lectures give introduction to jet manifolds, Lagrangian and Hamiltonian formalisms in jet manifolds and their application to a number of fundamental field models.

13.042253

12.420945

13.354567

11.420286

11.438928

12.615777

12.382202

11.911227

13.186664

14.807894

12.028456

12.479409

13.03896

12.476444

12.377288

12.874453

12.742694

12.40025

12.543447

13.11796

12.249506

2405.17169

Parinya Karndumri

Janus and RG-flow interfaces from matter-coupled F(4) gauged supergravity

20 pages, 2 figures

null

hep-th

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

We study supersymmetric Janus solutions from matter-coupled $F(4)$ gauged supergravity coupled to three vector multiplets and $SO(4)\sim SO(3)\times SO(3)$ gauge group. There are two supersymmetric $AdS_6$ vacua preserving all supersymmetries with $SO(3)\times SO(3)$ and $SO(3)_{\textrm{diag}}$ symmetries dual to $N=2$ SCFTs in five dimensions. We consider a truncation to $SO(2)_{\textrm{diag}}\subset SO(3)_{\textrm{diag}}$ singlet scalars and find a number of new supersymmetric Janus solutions preserving eight supercharges. These solutions holographcally describe conformal interfaces within $N=2$ five-dimensional SCFTs involving deformations by source terms and vacuum expectation values of relevant and irrelevant operators. Apart from the Janus solutions interpolating between $SO(3)\times SO(3)$ $AdS_6$ vacua, some of the solutions have $SO(3)_{\textrm{diag}}$ $AdS_6$ vacua generated by holographic RG flows from the $SO(3)\times SO(3)$ phases on both sides. We also provide an evidence for solutions describing RG-flow interfaces with $SO(3)\times SO(3)$ $AdS_6$ vacuum on one side and $SO(3)_{\textrm{diag}}$ $AdS_6$ vacuum on the other side. The solutions also provide first examples of Janus solutions involving more than one $AdS_6$ vacuum in six-dimensional gauged supergravity.

[ { "created": "Mon, 27 May 2024 13:47:52 GMT", "version": "v1" } ]

2024-05-28

[ [ "Karndumri", "Parinya", "" ] ]

We study supersymmetric Janus solutions from matter-coupled $F(4)$ gauged supergravity coupled to three vector multiplets and $SO(4)\sim SO(3)\times SO(3)$ gauge group. There are two supersymmetric $AdS_6$ vacua preserving all supersymmetries with $SO(3)\times SO(3)$ and $SO(3)_{\textrm{diag}}$ symmetries dual to $N=2$ SCFTs in five dimensions. We consider a truncation to $SO(2)_{\textrm{diag}}\subset SO(3)_{\textrm{diag}}$ singlet scalars and find a number of new supersymmetric Janus solutions preserving eight supercharges. These solutions holographcally describe conformal interfaces within $N=2$ five-dimensional SCFTs involving deformations by source terms and vacuum expectation values of relevant and irrelevant operators. Apart from the Janus solutions interpolating between $SO(3)\times SO(3)$ $AdS_6$ vacua, some of the solutions have $SO(3)_{\textrm{diag}}$ $AdS_6$ vacua generated by holographic RG flows from the $SO(3)\times SO(3)$ phases on both sides. We also provide an evidence for solutions describing RG-flow interfaces with $SO(3)\times SO(3)$ $AdS_6$ vacuum on one side and $SO(3)_{\textrm{diag}}$ $AdS_6$ vacuum on the other side. The solutions also provide first examples of Janus solutions involving more than one $AdS_6$ vacuum in six-dimensional gauged supergravity.

3.804599

3.235785

4.333825

3.33181

3.230014

3.247631

3.250237

3.256821

3.215762

4.567775

3.328493

3.4602

3.989659

3.579085

3.554225

3.551131

3.557922

3.651852

3.481014

3.94529

3.536802

1401.4336

Yasuho Yamashita

Yasuho Yamashita, Takahiro Tanaka

Mapping de Rham-Gabadadze-Tolley bigravity into braneworld setup

16 pages, 1 figure

null

10.1088/1475-7516/2014/06/004

YITP-14-5

hep-th gr-qc

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

We discuss whether or not bigravity theory can be embedded into the braneworld setup. As a candidate, we consider Dvali-Gabadadze-Porrati two-brane model with the Goldberger-Wise radion stabilization. We will show that we can construct a ghost free model whose low energy spectrum is composed of a massless graviton and a massive graviton with a small mass. As is expected, the behavior of this effective theory is shown to be identical to de Rham-Gabadadze-Tolley bigravity. Unfortunately, this correspondence breaks down at a relatively low energy due to the limitation of the adopted stabilization mechanism.

[ { "created": "Fri, 17 Jan 2014 13:28:39 GMT", "version": "v1" }, { "created": "Tue, 11 Mar 2014 06:17:27 GMT", "version": "v2" } ]

2015-06-18

[ [ "Yamashita", "Yasuho", "" ], [ "Tanaka", "Takahiro", "" ] ]

We discuss whether or not bigravity theory can be embedded into the braneworld setup. As a candidate, we consider Dvali-Gabadadze-Porrati two-brane model with the Goldberger-Wise radion stabilization. We will show that we can construct a ghost free model whose low energy spectrum is composed of a massless graviton and a massive graviton with a small mass. As is expected, the behavior of this effective theory is shown to be identical to de Rham-Gabadadze-Tolley bigravity. Unfortunately, this correspondence breaks down at a relatively low energy due to the limitation of the adopted stabilization mechanism.

7.971671

7.863931

7.608604

6.463094

6.816473

7.418443

7.240409

6.67643

6.428371

7.607895

7.100217

7.193515

7.308572

6.984629

7.245688

7.07916

7.029877

7.301886

6.980501

7.175294

7.074281

1510.07974

Hajar Ebrahim

M. Ali-Akbari, H. Ebrahim, S. Heshmatian

Thermal Quench at Finite t'Hooft Coupling

6 pages, 9 figures

null

IPM/P-2015/049

hep-th

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

Using holography we have studied thermal electric field quench for infinite and finite t'Hooft coupling constant. The set-up we consider here is D7-brane embedded in ($\alpha'$ corrected) AdS-black hole background. It is well-known that due to a time-dependent electric field on the probe brane, a time-dependent current will be produced and it will finally relax to its equilibrium value. We have studied the effect of different parameters of the system on equilibration time. As the most important results, we have observed a universal behaviour in the rescaled equilibration time in the very fast quench regime for different values of the temperature and $\alpha'$ correction parameter. It seems that in the slow quench regime the system behaves adiabatically. We have also observed that the equilibration time decreases in finite t'Hooft coupling limit.

[ { "created": "Tue, 27 Oct 2015 16:34:32 GMT", "version": "v1" } ]

2015-10-28

[ [ "Ali-Akbari", "M.", "" ], [ "Ebrahim", "H.", "" ], [ "Heshmatian", "S.", "" ] ]

Using holography we have studied thermal electric field quench for infinite and finite t'Hooft coupling constant. The set-up we consider here is D7-brane embedded in ($\alpha'$ corrected) AdS-black hole background. It is well-known that due to a time-dependent electric field on the probe brane, a time-dependent current will be produced and it will finally relax to its equilibrium value. We have studied the effect of different parameters of the system on equilibration time. As the most important results, we have observed a universal behaviour in the rescaled equilibration time in the very fast quench regime for different values of the temperature and $\alpha'$ correction parameter. It seems that in the slow quench regime the system behaves adiabatically. We have also observed that the equilibration time decreases in finite t'Hooft coupling limit.

8.756157

7.494472

8.709368

7.874385

7.528725

7.208251

7.737103

7.606614

7.327795

9.012133

7.594394

7.626195

8.101851

7.930737

7.826451

7.783676

7.483459

7.698767

7.805316

8.305177

7.617135

1209.0334

Robert de Mello Koch

Robert de Mello Koch, Sanjaye Ramgoolam and Congkao Wen

On the refined counting of graphs on surfaces

57 pages, 12 figures; v2: Typos corrected; references added

null

10.1016/j.nuclphysb.2013.01.023

QMUL-PH-12-13; WITS-CTP-104

hep-th math.GR math.RT

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

Ribbon graphs embedded on a Riemann surface provide a useful way to describe the double line Feynman diagrams of large N computations and a variety of other QFT correlator and scattering amplitude calculations, e.g in MHV rules for scattering amplitudes, as well as in ordinary QED. Their counting is a special case of the counting of bi-partite embedded graphs. We review and extend relevant mathematical literature and present results on the counting of some infinite classes of bi-partite graphs. Permutation groups and representations as well as double cosets and quotients of graphs are useful mathematical tools. The counting results are refined according to data of physical relevance, such as the structure of the vertices, faces and genus of the embedded graph. These counting problems can be expressed in terms of observables in three-dimensional topological field theory with S_d gauge group which gives them a topological membrane interpretation.

[ { "created": "Mon, 3 Sep 2012 12:59:44 GMT", "version": "v1" }, { "created": "Thu, 27 Sep 2012 15:19:11 GMT", "version": "v2" }, { "created": "Fri, 22 Mar 2013 16:47:34 GMT", "version": "v3" } ]

2015-06-11

[ [ "Koch", "Robert de Mello", "" ], [ "Ramgoolam", "Sanjaye", "" ], [ "Wen", "Congkao", "" ] ]

Ribbon graphs embedded on a Riemann surface provide a useful way to describe the double line Feynman diagrams of large N computations and a variety of other QFT correlator and scattering amplitude calculations, e.g in MHV rules for scattering amplitudes, as well as in ordinary QED. Their counting is a special case of the counting of bi-partite embedded graphs. We review and extend relevant mathematical literature and present results on the counting of some infinite classes of bi-partite graphs. Permutation groups and representations as well as double cosets and quotients of graphs are useful mathematical tools. The counting results are refined according to data of physical relevance, such as the structure of the vertices, faces and genus of the embedded graph. These counting problems can be expressed in terms of observables in three-dimensional topological field theory with S_d gauge group which gives them a topological membrane interpretation.

16.129389

14.832211

17.145824

15.304987

15.708124

14.399832

15.741757

14.423846

15.366457

20.464994

14.642926

14.847686

14.609983

13.987226

14.798464

14.939893

14.271145

14.821735

13.949711

14.712674

14.201069

1712.09914

Sergey Solodukhin N.

Clement Berthiere, Debajyoti Sarkar and Sergey N. Solodukhin

The quantum fate of black hole horizons

17 pages, no figures; title slightly changed, more remarks, new footnotes and references, version to appear in PLB

null

10.1016/j.physletb.2018.09.027

null

hep-th gr-qc

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

The presence of a horizon is the principal marker for black holes as they appear in the classical theory of gravity. In General Relativity (GR), horizons have several defining properties. First, there exists a static spherically symmetric solution to vacuum Einstein equations which possesses a horizon defined as a null-surface on which the time-like Killing vector becomes null. Second, in GR, a co-dimension two sphere of minimal area is necessarily a horizon. On a quantum level, the classical gravitational action is supplemented by the quantum effective action obtained by integrating out the quantum fields propagating on a classical background. In this note we consider the case when the quantum fields are conformal and perform a certain non-perturbative analysis of the semiclassical equations obtained by varying the complete gravitational action. We show that, for these equations, both of the above aspects do not hold. More precisely, we prove that i) a static spherically symmetric metric that would describe a horizon with a finite Hawking temperature is, generically, {\it not} a solution; ii) a minimal $2$-sphere is {\it not} a horizon but a tiny throat of a wormhole. We find certain bounds on the norm of the Killing vector at the throat and show that it is, while non-zero, an exponentially small function of the Bekenstein-Hawking (BH) entropy of the classical black hole. We also find that the possible temperature of the semiclassical geometry is exponentially small for large black holes. These findings suggest that a black hole in the classical theory can be viewed as a certain (singular) limit of the semiclassical wormhole geometry. We discuss the possible implications of our results.

[ { "created": "Thu, 28 Dec 2017 16:16:29 GMT", "version": "v1" }, { "created": "Tue, 2 Jan 2018 18:22:35 GMT", "version": "v2" }, { "created": "Tue, 30 Jan 2018 16:36:24 GMT", "version": "v3" }, { "created": "Fri, 14 Sep 2018 07:39:54 GMT", "version": "v4" } ]

2018-09-19

[ [ "Berthiere", "Clement", "" ], [ "Sarkar", "Debajyoti", "" ], [ "Solodukhin", "Sergey N.", "" ] ]

The presence of a horizon is the principal marker for black holes as they appear in the classical theory of gravity. In General Relativity (GR), horizons have several defining properties. First, there exists a static spherically symmetric solution to vacuum Einstein equations which possesses a horizon defined as a null-surface on which the time-like Killing vector becomes null. Second, in GR, a co-dimension two sphere of minimal area is necessarily a horizon. On a quantum level, the classical gravitational action is supplemented by the quantum effective action obtained by integrating out the quantum fields propagating on a classical background. In this note we consider the case when the quantum fields are conformal and perform a certain non-perturbative analysis of the semiclassical equations obtained by varying the complete gravitational action. We show that, for these equations, both of the above aspects do not hold. More precisely, we prove that i) a static spherically symmetric metric that would describe a horizon with a finite Hawking temperature is, generically, {\it not} a solution; ii) a minimal $2$-sphere is {\it not} a horizon but a tiny throat of a wormhole. We find certain bounds on the norm of the Killing vector at the throat and show that it is, while non-zero, an exponentially small function of the Bekenstein-Hawking (BH) entropy of the classical black hole. We also find that the possible temperature of the semiclassical geometry is exponentially small for large black holes. These findings suggest that a black hole in the classical theory can be viewed as a certain (singular) limit of the semiclassical wormhole geometry. We discuss the possible implications of our results.

7.36658

7.543532

7.302828

6.886875

7.846893

7.639866

7.56959

7.332167

7.398475

8.055497

7.628869

7.116437

7.120182

7.039568

7.17066

7.212399

7.234142

7.023095

7.202072

6.89336

7.115457

1502.06770

James B. Hartle

James Hartle and Thomas Hertog

Quantum Transitions Between Classical Histories: Bouncing Cosmologies

37 pages, 5 figures, minor corrections, results not changed

Phys. Rev. D 92, 063509 (2015)

10.1103/PhysRevD.92.063509

null

hep-th gr-qc

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

In a quantum theory of gravity spacetime behaves classically when quantum probabilities are high for histories of geometry and field that are correlated in time by the Einstein equation. Probabilities follow from the quantum state. This quantum perspective on classicality has important implications: (a) Classical histories are generally available only in limited patches of the configuration space on which the state lives. (b) In a given patch states generally predict relative probabilities for an ensemble of possible classical histories. (c) In between patches classical predictability breaks down and is replaced by quantum evolution connecting classical histories in different patches. (d) Classical predictability can break down on scales well below the Planck scale, and with no breakdown in the classical equations of motion. We support and illustrate (a)-(d) by calculating the quantum transition across the de Sitter like throat connecting asymptotically classical, inflating histories in the no-boundary quantum state. This supplies probabilities for how a classical history on one side transitions and branches into a range of classical histories on the opposite side. We also comment on the implications of (a)-(d) for the dynamics of black holes and eternal inflation.

[ { "created": "Tue, 24 Feb 2015 11:32:07 GMT", "version": "v1" }, { "created": "Wed, 29 Jul 2015 17:17:00 GMT", "version": "v2" }, { "created": "Fri, 28 Aug 2015 04:02:01 GMT", "version": "v3" } ]

2015-09-16

[ [ "Hartle", "James", "" ], [ "Hertog", "Thomas", "" ] ]

In a quantum theory of gravity spacetime behaves classically when quantum probabilities are high for histories of geometry and field that are correlated in time by the Einstein equation. Probabilities follow from the quantum state. This quantum perspective on classicality has important implications: (a) Classical histories are generally available only in limited patches of the configuration space on which the state lives. (b) In a given patch states generally predict relative probabilities for an ensemble of possible classical histories. (c) In between patches classical predictability breaks down and is replaced by quantum evolution connecting classical histories in different patches. (d) Classical predictability can break down on scales well below the Planck scale, and with no breakdown in the classical equations of motion. We support and illustrate (a)-(d) by calculating the quantum transition across the de Sitter like throat connecting asymptotically classical, inflating histories in the no-boundary quantum state. This supplies probabilities for how a classical history on one side transitions and branches into a range of classical histories on the opposite side. We also comment on the implications of (a)-(d) for the dynamics of black holes and eternal inflation.

12.032348

12.165285

13.014458

11.999225

12.522521

13.687554

12.80341

12.106719

12.029706

14.622729

11.274207

11.609721

11.396024

11.51955

11.234482

11.366482

11.195163

11.772184

11.441843

11.704828

11.250094

2002.05221

David Kubiznak

Finnian Gray, Ian Holst, David Kubiznak, Gloria Odak, Dalila M. Pirvu, Tales Rick Perche

Conformally Coupled Scalar in Rotating Black Hole Spacetimes

8 pages, no figures v2: upgraded published version

Phys. Rev. D 101, 084031 (2020)

10.1103/PhysRevD.101.084031

null

hep-th gr-qc

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

We demonstrate separability of conformally coupled scalar field equation in general (off-shell) Kerr-NUT-AdS spacetimes in all dimensions. The separability is intrinsically characterized by the existence of a complete set of mutually commuting conformal wave operators that can be constructed from a hidden symmetry of the principal Killing-Yano tensor. By token of conformal symmetry, the separability also works for any Weyl rescaled (off-shell) metrics. This is especially interesting in four dimensions where it guarantees separability of a conformally coupled scalar field in the general Plebanski-Demianski spacetime.

[ { "created": "Wed, 12 Feb 2020 20:29:01 GMT", "version": "v1" }, { "created": "Tue, 21 Apr 2020 23:05:39 GMT", "version": "v2" } ]

2020-05-05

[ [ "Gray", "Finnian", "" ], [ "Holst", "Ian", "" ], [ "Kubiznak", "David", "" ], [ "Odak", "Gloria", "" ], [ "Pirvu", "Dalila M.", "" ], [ "Perche", "Tales Rick", "" ] ]

We demonstrate separability of conformally coupled scalar field equation in general (off-shell) Kerr-NUT-AdS spacetimes in all dimensions. The separability is intrinsically characterized by the existence of a complete set of mutually commuting conformal wave operators that can be constructed from a hidden symmetry of the principal Killing-Yano tensor. By token of conformal symmetry, the separability also works for any Weyl rescaled (off-shell) metrics. This is especially interesting in four dimensions where it guarantees separability of a conformally coupled scalar field in the general Plebanski-Demianski spacetime.

9.017048

7.912613

7.61974

6.924769

7.643198

7.680434

7.676987

7.240181

7.661582

8.614256

7.704493

7.824337

8.300689

7.698191

7.78604

7.720196

7.736707

7.723244

7.72371

8.372075

7.92299

0906.1819

Dionysios Anninos

Sailing from Warped AdS_3 to Warped dS_3 in Topologically Massive Gravity

1+24 pages, 1 figure

JHEP 1002:046,2010

10.1007/JHEP02(2010)046

null

hep-th

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

Three-dimensional warped anti-de Sitter space in topologically massive gravity with a negative cosmological constant has been proposed to be holographically dual to a two-dimensional conformal field theory. We extend this proposal to both positive and vanishing values of the cosmological constant where stretched warped anti-de Sitter space is found to be a solution. For positive cosmological constant, another class of warped solutions is obtained by a spacelike (timelike) line fibration over Lorentzian (Euclidean) two-dimensional de Sitter space. These solutions exhibit a cosmological horizon and Hawking temperature much like de Sitter space. Global identifications of this warped de Sitter space may contain a horizon in addition to the cosmological one. At a degenerate point, warped de Sitter space becomes a fibration over two-dimensional flat space. Finally, we study scalar waves in these backgrounds. Scalars in stretched warped anti-de Sitter space exhibit superradiance which can be interpreted as Schwinger pair production of charged particles in two-dimensional anti-de Sitter space.

[ { "created": "Wed, 10 Jun 2009 18:39:24 GMT", "version": "v1" }, { "created": "Wed, 6 Jan 2010 01:54:53 GMT", "version": "v2" } ]

2010-02-23

[ [ "Anninos", "Dionysios", "" ] ]

Three-dimensional warped anti-de Sitter space in topologically massive gravity with a negative cosmological constant has been proposed to be holographically dual to a two-dimensional conformal field theory. We extend this proposal to both positive and vanishing values of the cosmological constant where stretched warped anti-de Sitter space is found to be a solution. For positive cosmological constant, another class of warped solutions is obtained by a spacelike (timelike) line fibration over Lorentzian (Euclidean) two-dimensional de Sitter space. These solutions exhibit a cosmological horizon and Hawking temperature much like de Sitter space. Global identifications of this warped de Sitter space may contain a horizon in addition to the cosmological one. At a degenerate point, warped de Sitter space becomes a fibration over two-dimensional flat space. Finally, we study scalar waves in these backgrounds. Scalars in stretched warped anti-de Sitter space exhibit superradiance which can be interpreted as Schwinger pair production of charged particles in two-dimensional anti-de Sitter space.

6.776546

6.742267

6.899244

6.352593

6.76585

6.2756

6.637029

6.281398

6.029617

7.026762

6.214684

6.477045

6.653697

6.371469

6.4118

6.32323

6.461002

6.389017

6.414665

6.717304

6.32406

1404.0619

Stefano Negro

On sinh-Gordon Thermodynamic Bethe Ansatz and fermionic basis

27 pages, 13 figures. Correction of some typos and minor reformatting

IJMPA, vol. 29 (2014) 1450111

10.1142/S0217751X14501115

null

hep-th math-ph math.MP

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

We review the construction of the fermionic basis for sinh-Gordon model and investigate numerically the ultra-violet limit of the one-point functions. We then compare the predictions obtained from this formalism against previously established results.

[ { "created": "Wed, 2 Apr 2014 17:14:38 GMT", "version": "v1" }, { "created": "Thu, 3 Apr 2014 12:22:09 GMT", "version": "v2" }, { "created": "Thu, 19 Jun 2014 09:27:03 GMT", "version": "v3" } ]

2014-08-05

[ [ "Negro", "Stefano", "" ] ]

We review the construction of the fermionic basis for sinh-Gordon model and investigate numerically the ultra-violet limit of the one-point functions. We then compare the predictions obtained from this formalism against previously established results.

19.647533

13.73436

21.475079

14.111574

12.710544

13.931756

13.525784

13.184992

13.863971

21.11694

12.729488

14.408872

19.221783

15.535676

15.563602

15.30609

15.237374

15.801637

15.582762

17.591581

15.224302

2203.13017

Yvonne Geyer

Yvonne Geyer, Lionel Mason

The SAGEX Review on Scattering Amplitudes, Chapter 6: Ambitwistor Strings and Amplitudes from the Worldsheet

46 pages + appendices, see also the overview article arXiv:2203.13011

null

SAGEX-22-07

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

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

Starting with Witten's twistor string, chiral string theories have emerged that describe field theory amplitudes without the towers of massive states of conventional strings. These models are known as ambitwistor strings due to their target space; the space of complexified null geodesics, also called ambitwistor space. Correlators in these string theories directly yield compact formulae for tree-level amplitudes and loop integrands, in the form of worldsheet integrals fully localized on solutions to constraints known as the scattering equations. In this chapter, we discuss two incarnations of the ambitwistor string: a 'vector representation' starting in space-time and structurally resembling the RNS superstring, and a four-dimensional twistorial version closely related to, but distinct from Witten's original model. The RNS-like models exist for several theories, with 'heterotic' and type II models describing super-Yang-Mills and 10d supergravities respectively, and they manifest the double copy relations directly at the level of the worldsheet models. In the second half of the chapter, we explain how the underlying models lead to diverse applications, ranging from extensions to new sectors of theories, loop amplitudes and to scattering on curved backgrounds. We conclude with a brief discussion of connections to conventional strings and celestial holography.

[ { "created": "Thu, 24 Mar 2022 12:00:21 GMT", "version": "v1" }, { "created": "Thu, 7 Apr 2022 15:47:57 GMT", "version": "v2" } ]

2022-04-08

[ [ "Geyer", "Yvonne", "" ], [ "Mason", "Lionel", "" ] ]

Starting with Witten's twistor string, chiral string theories have emerged that describe field theory amplitudes without the towers of massive states of conventional strings. These models are known as ambitwistor strings due to their target space; the space of complexified null geodesics, also called ambitwistor space. Correlators in these string theories directly yield compact formulae for tree-level amplitudes and loop integrands, in the form of worldsheet integrals fully localized on solutions to constraints known as the scattering equations. In this chapter, we discuss two incarnations of the ambitwistor string: a 'vector representation' starting in space-time and structurally resembling the RNS superstring, and a four-dimensional twistorial version closely related to, but distinct from Witten's original model. The RNS-like models exist for several theories, with 'heterotic' and type II models describing super-Yang-Mills and 10d supergravities respectively, and they manifest the double copy relations directly at the level of the worldsheet models. In the second half of the chapter, we explain how the underlying models lead to diverse applications, ranging from extensions to new sectors of theories, loop amplitudes and to scattering on curved backgrounds. We conclude with a brief discussion of connections to conventional strings and celestial holography.

9.786048

9.480419

11.929704

9.492572

10.097651

9.813448

9.416578

9.656809

9.299854

12.23035

9.288335

9.799537

10.138093

9.577979

9.719708

9.529812

9.674086

9.932852

9.78407

10.334114

9.661756

hep-th/9305074

Konstadinos Sfetsos

Effective Action and Exact Geometry in Chiral Gauged WZW Models

19 pages, harvmac, USC-93/HEP-S1, (A typo in eq. 4.5 is corrected and a note is added )

null

hep-th

null

Following recent work on the effective quantum action of gauged WZW models, we suggest such an action for {\it chiral} gauged WZW models which in many respects differ from the usual gauged WZW models. Using the effective action we compute the conformally exact expressions for the metric, the antisymmetric tensor, and the dilaton fields in the $\s$-model arising from a general {\it chiral } gauged WZW model. We also obtain the general solution of the geodesic equations in the exact geometry. Finally we consider in some detail a three dimensional model which has certain similarities with the three dimensional black string model. Finally we consider in some detail a three dimensional model which has certain similarities with the three dimensional black string model.

[ { "created": "Mon, 17 May 1993 16:56:21 GMT", "version": "v1" }, { "created": "Sat, 22 May 1993 21:04:18 GMT", "version": "v2" }, { "created": "Mon, 2 Aug 1993 11:01:35 GMT", "version": "v3" } ]

2008-02-03

[ [ "Sfetsos", "Konstadinos", "" ] ]

Following recent work on the effective quantum action of gauged WZW models, we suggest such an action for {\it chiral} gauged WZW models which in many respects differ from the usual gauged WZW models. Using the effective action we compute the conformally exact expressions for the metric, the antisymmetric tensor, and the dilaton fields in the $\s$-model arising from a general {\it chiral } gauged WZW model. We also obtain the general solution of the geodesic equations in the exact geometry. Finally we consider in some detail a three dimensional model which has certain similarities with the three dimensional black string model. Finally we consider in some detail a three dimensional model which has certain similarities with the three dimensional black string model.

6.919674

6.097334

7.023495

6.152451

6.460746

6.254172

6.413742

6.049936

5.947248

7.515459

6.056073

6.337986

6.884439

6.337286

6.49743

6.364079

6.324951

6.247155

6.232735

6.848025

6.265697

1902.08023

Olaf Lechtenfeld

Sergey Fedoruk, Evgeny Ivanov, Olaf Lechtenfeld

Supersymmetric hyperbolic Calogero-Sutherland models by gauging

1+18 pages; v2: one reference added, minor corrections, matches published version

null

10.1016/j.nuclphysb.2019.114633

null

hep-th math-ph math.MP

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

Novel $\mathcal{N}{=}\,2$ and $\mathcal{N}{=}\,4$ supersymmetric extensions of the Calogero-Sutherland hyperbolic systems are obtained by gauging the ${\rm U}(n)$ isometry of matrix superfield models. The bosonic core of the $\mathcal{N}{=}\,2$ models is the standard $A_{n-1}$ Calogero-Sutherland hyperbolic system, whereas the ${\mathcal N}{=}\,4$ model contains additional semi-dynamical spin variables and is an extension of the U(2) spin Calogero-Sutherland hyperbolic system. We construct two different versions of the ${\mathcal N}{=}\,4$ model, with and without the interacting center-of-mass coordinate in the bosonic sector.

[ { "created": "Thu, 21 Feb 2019 13:13:58 GMT", "version": "v1" }, { "created": "Fri, 10 May 2019 14:50:24 GMT", "version": "v2" } ]

2019-06-26

[ [ "Fedoruk", "Sergey", "" ], [ "Ivanov", "Evgeny", "" ], [ "Lechtenfeld", "Olaf", "" ] ]

Novel $\mathcal{N}{=}\,2$ and $\mathcal{N}{=}\,4$ supersymmetric extensions of the Calogero-Sutherland hyperbolic systems are obtained by gauging the ${\rm U}(n)$ isometry of matrix superfield models. The bosonic core of the $\mathcal{N}{=}\,2$ models is the standard $A_{n-1}$ Calogero-Sutherland hyperbolic system, whereas the ${\mathcal N}{=}\,4$ model contains additional semi-dynamical spin variables and is an extension of the U(2) spin Calogero-Sutherland hyperbolic system. We construct two different versions of the ${\mathcal N}{=}\,4$ model, with and without the interacting center-of-mass coordinate in the bosonic sector.

4.504425

4.085618

5.058886

4.1034

4.009585

4.024946

3.749946

3.848425

4.119123

5.370753

4.15546

4.317742

4.726601

4.261699

4.317245

4.165471

4.203953

4.1461

4.186239

4.679961

4.124405

1904.05201

Sergei Kuzenko

Sergei M. Kuzenko

Superconformal vector multiplet self-couplings and generalised Fayet-Iliopoulos terms

10 pages; V2: references and comments added

null

10.1016/j.physletb.2019.05.047

null

hep-th

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

As an extension of the recent construction of generalised Fayet-Iliopoulos terms in ${\cal N}=1$ supergravity given in [1], we present self-interactions for a vector multiplet coupled to conformal supergravity. They are used to construct new models for spontaneously broken local supersymmetry.

[ { "created": "Wed, 10 Apr 2019 14:12:45 GMT", "version": "v1" }, { "created": "Mon, 29 Apr 2019 14:00:14 GMT", "version": "v2" } ]

2019-06-05

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

As an extension of the recent construction of generalised Fayet-Iliopoulos terms in ${\cal N}=1$ supergravity given in [1], we present self-interactions for a vector multiplet coupled to conformal supergravity. They are used to construct new models for spontaneously broken local supersymmetry.

10.170099

5.577567

7.553101

6.68035

6.085786

5.935019

6.342415

5.851818

6.228718

8.366772

6.857291

6.743569

7.616568

7.093088

6.686471

6.481305

6.486885

6.891687

6.895489

7.437847

6.886197

hep-th/0303167

Philippe Brax

Philippe Brax, Adam Falkowski and Zygmunt Lalak

Cosmological constant and kinetic supersymmetry breakdown on a moving brane

21 pages

Nucl.Phys. B667 (2003) 149-169

10.1016/S0550-3213(03)00548-0

null

hep-th

null

We consider cosmological solutions in 5d locally supersymmetric theories including boundary actions, with either opposite tension branes for identical brane chiralities or equal tension branes for flipped brane chiralities. We analyse the occurrence of supersymmetry breakdown in both situations. We find that supersymmetry as seen by a brane observer is broken due to the motion of the brane in the bulk. When the brane energy-momentum tensor is dominated by the brane tension, the 4d vacuum energy cosmological constant on the observable brane is positive and proportional to the inverse square of the brane local time. We find that the mass splitting within supersymmetric multiplets living on the brane is of the order of the inverse of the brane local time, examplifying the tight relation between the vacuum energy scale and the supersymmetry breaking scale.

[ { "created": "Wed, 19 Mar 2003 16:40:51 GMT", "version": "v1" } ]

2010-04-05

[ [ "Brax", "Philippe", "" ], [ "Falkowski", "Adam", "" ], [ "Lalak", "Zygmunt", "" ] ]

We consider cosmological solutions in 5d locally supersymmetric theories including boundary actions, with either opposite tension branes for identical brane chiralities or equal tension branes for flipped brane chiralities. We analyse the occurrence of supersymmetry breakdown in both situations. We find that supersymmetry as seen by a brane observer is broken due to the motion of the brane in the bulk. When the brane energy-momentum tensor is dominated by the brane tension, the 4d vacuum energy cosmological constant on the observable brane is positive and proportional to the inverse square of the brane local time. We find that the mass splitting within supersymmetric multiplets living on the brane is of the order of the inverse of the brane local time, examplifying the tight relation between the vacuum energy scale and the supersymmetry breaking scale.

9.063277

9.309764

8.907972

8.532597

8.897414

8.432869

8.773729

8.317125

8.433706

9.558078

8.473381

9.053994

8.840119

8.913375

8.777916

8.856131

8.962055

8.70286

8.939754

8.952142

9.024125

1701.06710

Machiko Hatsuda

Machiko Hatsuda, Kiyoshi Kamimura and Warren Siegel

Manifestly T-dual formulation of AdS space

35 pages, v2: Explanation of the relation to other approaches, a pedagogical review and references are added, to appear in JHEP

null

10.1007/JHEP05(2017)069

null

hep-th

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

We present a manifestly T-dual formulation of curved spaces such as an AdS space. For group manifolds related by the orthogonal vielbein fields the three form H=dB in the doubled space is universal at least locally. We construct an affine nondegenerate doubled bosonic AdS algebra to define the AdS space with the Ramond-Ramond flux. The non-zero commutator of the left and right momenta leads to that the left momentum is in an AdS space while the right momentum is in a dS space. Dimensional reduction constraints and the physical AdS algebra are shown to preserve all the doubled coordinates.

[ { "created": "Tue, 24 Jan 2017 02:23:35 GMT", "version": "v1" }, { "created": "Wed, 3 May 2017 08:04:38 GMT", "version": "v2" } ]

2017-06-07

[ [ "Hatsuda", "Machiko", "" ], [ "Kamimura", "Kiyoshi", "" ], [ "Siegel", "Warren", "" ] ]

We present a manifestly T-dual formulation of curved spaces such as an AdS space. For group manifolds related by the orthogonal vielbein fields the three form H=dB in the doubled space is universal at least locally. We construct an affine nondegenerate doubled bosonic AdS algebra to define the AdS space with the Ramond-Ramond flux. The non-zero commutator of the left and right momenta leads to that the left momentum is in an AdS space while the right momentum is in a dS space. Dimensional reduction constraints and the physical AdS algebra are shown to preserve all the doubled coordinates.

15.20726

15.84651

16.474852

13.760715

15.951414

14.600351

15.475329

15.189098

13.61146

17.214323

14.846302

14.694564

15.204931

13.955472

14.320065

14.581054

14.122987

14.361049

14.282826

16.065889

13.671394

hep-th/0405036

Alexios P. Polychronakos

A. Alekseev, A.P. Polychronakos, M. Smedback

Remarks on the black hole entropy and Hawking spectrum in Loop Quantum Gravity

null

Phys.Rev. D71 (2005) 067501

10.1103/PhysRevD.71.067501

CCNY-HEP-04/3, UUITP-13/04

hep-th gr-qc

null

In this note we reply to the criticism by Corichi concerning our proposal for an equidistant area spectrum in loop quantum gravity. We further comment on the emission properties of black holes and on the statistics of links.

[ { "created": "Tue, 4 May 2004 18:03:07 GMT", "version": "v1" } ]

2009-11-10

[ [ "Alekseev", "A.", "" ], [ "Polychronakos", "A. P.", "" ], [ "Smedback", "M.", "" ] ]

In this note we reply to the criticism by Corichi concerning our proposal for an equidistant area spectrum in loop quantum gravity. We further comment on the emission properties of black holes and on the statistics of links.

27.858953

17.635918

15.591413

14.297118

19.297512

19.96673

17.114576

14.303976

17.44009

16.646376

17.798237

16.741676

16.485275

16.108034

16.382862

17.341831

17.2929

15.725879

16.823647

16.724384

16.842516

1811.01125

Paolo Benincasa

Nima Arkani-Hamed and Paolo Benincasa

On the Emergence of Lorentz Invariance and Unitarity from the Scattering Facet of Cosmological Polytopes

9 pages, figures in tikz

null

hep-th gr-qc

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

The concepts of Lorentz invariance of local (flat space) physics, and unitarity of time evolution and the S-matrix, are famously rigid and robust, admitting no obvious consistent theoretical deformations, and confirmed to incredible accuracy by experiments. But neither of these notions seem to appear directly in describing the spatial correlation functions at future infinity characterizing the "boundary" observables in cosmology. How then can we see them emerge as {\it exact} concepts from a possible ab-initio theory for the late-time wavefunction of the universe? In this letter we examine this question in a simple but concrete setting, for the perturbative wavefunction in a class of scalar field models where an ab-initio description of the wavefunction has been given by "cosmological polytopes". Singularities of the wavefunction are associated with facets of the polytope. One of the singularities -- corresponding to the "total energy pole" -- is well known to be associated with the flat-space scattering amplitude. We show how the combinatorics and geometry of this {\it scattering facet} of the cosmological polytope straightforwardly leads to the emergence of Lorentz invariance and unitarity for the S-matrix. Unitarity follows from the way boundaries of the scattering facet factorize into products of lower-dimensional polytopes, while Lorentz invariance follows from a contour integral representation of the canonical form, which exists for any polytope, specialized to cosmological polytopes.

[ { "created": "Fri, 2 Nov 2018 23:35:48 GMT", "version": "v1" } ]

2018-11-06

[ [ "Arkani-Hamed", "Nima", "" ], [ "Benincasa", "Paolo", "" ] ]

The concepts of Lorentz invariance of local (flat space) physics, and unitarity of time evolution and the S-matrix, are famously rigid and robust, admitting no obvious consistent theoretical deformations, and confirmed to incredible accuracy by experiments. But neither of these notions seem to appear directly in describing the spatial correlation functions at future infinity characterizing the "boundary" observables in cosmology. How then can we see them emerge as {\it exact} concepts from a possible ab-initio theory for the late-time wavefunction of the universe? In this letter we examine this question in a simple but concrete setting, for the perturbative wavefunction in a class of scalar field models where an ab-initio description of the wavefunction has been given by "cosmological polytopes". Singularities of the wavefunction are associated with facets of the polytope. One of the singularities -- corresponding to the "total energy pole" -- is well known to be associated with the flat-space scattering amplitude. We show how the combinatorics and geometry of this {\it scattering facet} of the cosmological polytope straightforwardly leads to the emergence of Lorentz invariance and unitarity for the S-matrix. Unitarity follows from the way boundaries of the scattering facet factorize into products of lower-dimensional polytopes, while Lorentz invariance follows from a contour integral representation of the canonical form, which exists for any polytope, specialized to cosmological polytopes.

11.377037

11.71593

11.981175

10.484484

11.774559

11.917661

11.626223

11.342154

11.354989

13.673028

10.676918

10.872007

11.41605

11.111794

11.342624

10.875292

11.181116

11.276137

11.022184

11.967172

10.701365

hep-th/0107212

P. S. Howe

P.J. Heslop and P.S. Howe

OPEs and 3-point correlators of protected operators in N=4 SYM

22 pages

Nucl.Phys. B626 (2002) 265-286

10.1016/S0550-3213(02)00023-8

null

hep-th

null

Two- and three-point correlation functions of arbitrary protected operators are constructed in N=4 SYM using analytic superspace methods. The OPEs of two chiral primary multiplets are given. It is shown that the $n$-point functions of protected operators for $n\leq4$ are invariant under $U(1)_Y$ and it is argued that this implies that the two- and three-point functions are not renormalised. It is shown explicitly how unprotected operators can be accommodated in the analytic superspace formalism in a way which is fully compatible with analyticity. Some new extremal correlators are exhibited.

[ { "created": "Tue, 24 Jul 2001 17:40:27 GMT", "version": "v1" } ]

2009-11-07

[ [ "Heslop", "P. J.", "" ], [ "Howe", "P. S.", "" ] ]

Two- and three-point correlation functions of arbitrary protected operators are constructed in N=4 SYM using analytic superspace methods. The OPEs of two chiral primary multiplets are given. It is shown that the $n$-point functions of protected operators for $n\leq4$ are invariant under $U(1)_Y$ and it is argued that this implies that the two- and three-point functions are not renormalised. It is shown explicitly how unprotected operators can be accommodated in the analytic superspace formalism in a way which is fully compatible with analyticity. Some new extremal correlators are exhibited.

7.990612

6.387335

8.453722

7.127598

7.072179

7.055356

7.440279

6.66266

6.739633

8.44637

6.875223

7.123601

7.57328

7.012484

7.104285

7.006791

7.089447

6.961645

7.100649

7.568452

7.039824

1010.0566

Stuart Dowker

J.S.Dowker

Determinants and conformal anomalies of GJMS operators on spheres

20 pages. Last major revision. Section on holographic aspects added

J.Phys.A44:115402,2011

10.1088/1751-8113/44/11/115402

null

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

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

The conformal anomalies and functional determinants of the Branson--GJMS operators, P_{2k}, on the d-dimensional sphere are evaluated in explicit terms for any d and k such that k < d/2+1 (if d is even). The determinants are given in terms of multiple gamma functions and a rational multiplicative anomaly, which vanishes for odd d. Taking the mode system on the sphere as the union of Neumann and Dirichlet ones on the hemisphere is a basic part of the method and leads to a heuristic explanation of the non--existence of `super--critical' operators, 2k>d for even d. Significant use is made of the Barnes zeta function. The results are given in terms of ratios of determinants of operators on a (d+1)-dimensional bulk dual sphere. For odd dimensions, the log determinant is written in terms of multiple sine functions and agreement is found with holographic computations, yielding an integral over a Plancherel measure. The N-D determinant ratio is also found explicitly for even dimensions. Ehrhart polynomials are encountered.

[ { "created": "Mon, 4 Oct 2010 12:35:07 GMT", "version": "v1" }, { "created": "Mon, 11 Oct 2010 15:36:27 GMT", "version": "v2" }, { "created": "Mon, 18 Oct 2010 18:02:53 GMT", "version": "v3" }, { "created": "Wed, 20 Oct 2010 18:44:03 GMT", "version": "v4" }, { "created": "Mon, 25 Oct 2010 18:21:48 GMT", "version": "v5" } ]

2011-03-02

[ [ "Dowker", "J. S.", "" ] ]

The conformal anomalies and functional determinants of the Branson--GJMS operators, P_{2k}, on the d-dimensional sphere are evaluated in explicit terms for any d and k such that k < d/2+1 (if d is even). The determinants are given in terms of multiple gamma functions and a rational multiplicative anomaly, which vanishes for odd d. Taking the mode system on the sphere as the union of Neumann and Dirichlet ones on the hemisphere is a basic part of the method and leads to a heuristic explanation of the non--existence of `super--critical' operators, 2k>d for even d. Significant use is made of the Barnes zeta function. The results are given in terms of ratios of determinants of operators on a (d+1)-dimensional bulk dual sphere. For odd dimensions, the log determinant is written in terms of multiple sine functions and agreement is found with holographic computations, yielding an integral over a Plancherel measure. The N-D determinant ratio is also found explicitly for even dimensions. Ehrhart polynomials are encountered.

14.148143

14.271199

16.456585

13.975606

16.676672

14.878154

14.8235

13.937384

14.012095

16.528732

13.966209

13.478858

14.196733

13.236811

13.326978

13.094655

13.229784

13.378896

12.828547

14.076959

13.46995

hep-th/0411138

Mikhail Krivoruchenko

M. I. Krivoruchenko, Amand Faessler, A. A. Raduta, C. Fuchs

Gauge invariant counterparts and quantization of systems under holonomic constraints

5 pages REVTeX, new references added

Phys.Lett. B608 (2005) 164-170

10.1016/j.physletb.2004.12.058

null

hep-th quant-ph

null

Systems under holonomic constraints are classified within the generalized Hamiltonian framework as second-class constraints systems. We show that each system of point particles with holonomic constraints has a hidden gauge symmetry which allows to quantize it in the original phase space as a first-class constraints system. The proposed method is illustrated with quantization of a point particle moving on an $n-1$-dimensional sphere $S^{n-1}$ as well as its field theory analog the O(n) nonlinear sigma model.

[ { "created": "Mon, 15 Nov 2004 10:14:51 GMT", "version": "v1" }, { "created": "Mon, 28 Mar 2005 13:26:16 GMT", "version": "v2" } ]

2009-11-10

[ [ "Krivoruchenko", "M. I.", "" ], [ "Faessler", "Amand", "" ], [ "Raduta", "A. A.", "" ], [ "Fuchs", "C.", "" ] ]

Systems under holonomic constraints are classified within the generalized Hamiltonian framework as second-class constraints systems. We show that each system of point particles with holonomic constraints has a hidden gauge symmetry which allows to quantize it in the original phase space as a first-class constraints system. The proposed method is illustrated with quantization of a point particle moving on an $n-1$-dimensional sphere $S^{n-1}$ as well as its field theory analog the O(n) nonlinear sigma model.

9.510574

7.37642

9.97651

8.164544

8.731046

8.687337

7.74885

7.749562

7.569807

9.960527

8.423411

7.962371

8.955698

8.560534

8.06832

8.404013

8.227159

8.009552

8.681002

8.423326

8.806744

hep-th/0001057

Kenji Suzuki

D0-D4 system and QCD_{3+1}

10 pages, REVTeX; typos corrected

Phys.Rev. D63 (2001) 084011

10.1103/PhysRevD.63.084011

null

hep-th

null

We consider a $(3+1)$-dimensional QCD model using a dual supergravity description with a non-extremal $D0$-$D4$ brane background. We calculate the spectrum of glueball masses and Wilson loops in the background. The mass spectrum is shown to coincide with one in non-extremal $D4$-brane systems, and an area low of spatial Wilson loops is established. We show that there is a region that Kaluza-Klein modes of the Euclidean time direction are decoupled without decoupling glueball masses.

[ { "created": "Tue, 11 Jan 2000 06:11:22 GMT", "version": "v1" }, { "created": "Tue, 30 Jan 2001 06:06:42 GMT", "version": "v2" } ]

2009-10-31

[ [ "Suzuki", "Kenji", "" ] ]

We consider a $(3+1)$-dimensional QCD model using a dual supergravity description with a non-extremal $D0$-$D4$ brane background. We calculate the spectrum of glueball masses and Wilson loops in the background. The mass spectrum is shown to coincide with one in non-extremal $D4$-brane systems, and an area low of spatial Wilson loops is established. We show that there is a region that Kaluza-Klein modes of the Euclidean time direction are decoupled without decoupling glueball masses.

10.652147

9.948854

10.186024

9.274055

11.588406

10.159487

9.913067

9.562623

9.732154

11.93956

9.198358

10.300097

10.188611

10.136957

10.665627

10.23748

10.265339

10.204013

10.392065

10.348775

10.309199

hep-th/0603127

Qing-Guo Huang

Qing-Guo Huang, Miao Li and Wei Song

Weak gravity conjecture in the asymptotical dS and AdS background

4 pages; version for publication in JHEP (title changed)

JHEP0610:059,2006

10.1088/1126-6708/2006/10/059

null

hep-th

null

The cosmological observations provide a strong evidence that there is a positive cosmological constant in our universe and thus the spacetime is asymptotical de Sitter space. The conjecture of gravity as the weakest force in the asymptotical dS space leads to a lower bound on the U(1) gauge coupling $g$, or equivalently, the positive cosmological constant gets an upper bound $\rho_V \leq g^2 M_p^4$ in order that the U(1) gauge theory can survive in four dimensions. This result has a simple explanation in string theory, i.e. the string scale $\sqrt{\alpha '}$ should not be greater than the size of the cosmic horizon. Our proposal in string theory can be generalized to U(N) gauge theory and gives a guideline to the microscopic explanation of the de Sitter entropy. The similar results are also obtained in the asymptotical anti-de Sitter space.

[ { "created": "Thu, 16 Mar 2006 13:41:53 GMT", "version": "v1" }, { "created": "Mon, 2 Oct 2006 22:38:01 GMT", "version": "v2" } ]

2009-11-11

[ [ "Huang", "Qing-Guo", "" ], [ "Li", "Miao", "" ], [ "Song", "Wei", "" ] ]

The cosmological observations provide a strong evidence that there is a positive cosmological constant in our universe and thus the spacetime is asymptotical de Sitter space. The conjecture of gravity as the weakest force in the asymptotical dS space leads to a lower bound on the U(1) gauge coupling $g$, or equivalently, the positive cosmological constant gets an upper bound $\rho_V \leq g^2 M_p^4$ in order that the U(1) gauge theory can survive in four dimensions. This result has a simple explanation in string theory, i.e. the string scale $\sqrt{\alpha '}$ should not be greater than the size of the cosmic horizon. Our proposal in string theory can be generalized to U(N) gauge theory and gives a guideline to the microscopic explanation of the de Sitter entropy. The similar results are also obtained in the asymptotical anti-de Sitter space.

7.398798

7.245729

7.304286

6.974302

7.274039

7.426183

7.746183

7.06194

7.058923

7.970506

7.082169

6.946744

7.46518

7.12768

6.79105

6.967271

7.042141

7.107378

6.942575

7.673851

7.130069

2206.08090

Wung-Hong Huang

Tri-Scalar CFT and Holographic Bi-Fishchain Model

Add several comments and many references

Int. J. Mod. Phys. A 38 (2023) 2350135

null

hep-th

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

Bi-scalar CFT from $\gamma$ deformed $\cal N$=4 SYM describes the fishnet theory which is integrable in the planar limit. The holographic dual of the planar model is the fishchain model. The derivation of the weak-strong duality from the first principle was presented in a recent paper (The Holographic Fishchain arXiv:1903.10508). In this note we extend the investigation to the tri-scalar CFT which raises from the large twist limit of ABJM theory. We show that it becomes tri-scalar fishnet theory in planar limit and the dual theory is the holographic bi-fishchain model.

[ { "created": "Thu, 16 Jun 2022 11:12:46 GMT", "version": "v1" }, { "created": "Wed, 30 Aug 2023 08:04:55 GMT", "version": "v2" } ]

2023-11-01

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

Bi-scalar CFT from $\gamma$ deformed $\cal N$=4 SYM describes the fishnet theory which is integrable in the planar limit. The holographic dual of the planar model is the fishchain model. The derivation of the weak-strong duality from the first principle was presented in a recent paper (The Holographic Fishchain arXiv:1903.10508). In this note we extend the investigation to the tri-scalar CFT which raises from the large twist limit of ABJM theory. We show that it becomes tri-scalar fishnet theory in planar limit and the dual theory is the holographic bi-fishchain model.

11.776059

10.964436

13.275191

10.567219

11.286283

12.000216

11.442962

10.265092

10.723557

14.174032

11.079899

10.539561

10.935248

10.004011

10.146083

9.950802

10.080012

10.068926

10.280484

10.973829

10.326138

1911.00129

Mishkat Al Alvi

Mishkat Al Alvi, Arshad Momen

Classicalization in Derivatively Coupled Scalar Field Theories: A Feasibility Study

12 pages, 1 figure

null

hep-th

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

It has been suggested that a certain class of UV-incomplete quantum field theories can avoid unitarity violation above the cut-off energy scale by forming classical configurations at a length scale much larger than the cut-off length. This phenomenon has been named classicalization and is characterized by a length scale called classicalization radius $r_*$ which increases with energy. It has been argued that scalar field theories with derivative self-interactions are likely candidate for UV-completetion by classicalization and are much likely to form classicalons compared to non-classicalizing theories like $\phi^4$ scalar field theory. To look further into this claim, in this paper 2 to N particle scattering amplitude, scattering cross-section and the amplitude of classical structure formation has been calculated and compared for a classicalizing and non-classicalizing theory. As the phenomenon of classicalization relies on creating a large number of low energy particles from high energy two particle scattering, the ratios between the scattering amplitudes and the amplitude of classical structure formation in these two cases are an indicator of the feasibility of the classicalization process. From our calculation, it has been observed that with the increase of energy, the ratios of the relevant quantities between classicalizing and non-classicalizing theory actually decrease which is quite contrary to the expected behaviour if classicalization is supposed to self-unitarize certain class of theories beyond cut-off energy.

[ { "created": "Thu, 31 Oct 2019 22:09:08 GMT", "version": "v1" } ]

2019-11-04

[ [ "Alvi", "Mishkat Al", "" ], [ "Momen", "Arshad", "" ] ]

It has been suggested that a certain class of UV-incomplete quantum field theories can avoid unitarity violation above the cut-off energy scale by forming classical configurations at a length scale much larger than the cut-off length. This phenomenon has been named classicalization and is characterized by a length scale called classicalization radius $r_*$ which increases with energy. It has been argued that scalar field theories with derivative self-interactions are likely candidate for UV-completetion by classicalization and are much likely to form classicalons compared to non-classicalizing theories like $\phi^4$ scalar field theory. To look further into this claim, in this paper 2 to N particle scattering amplitude, scattering cross-section and the amplitude of classical structure formation has been calculated and compared for a classicalizing and non-classicalizing theory. As the phenomenon of classicalization relies on creating a large number of low energy particles from high energy two particle scattering, the ratios between the scattering amplitudes and the amplitude of classical structure formation in these two cases are an indicator of the feasibility of the classicalization process. From our calculation, it has been observed that with the increase of energy, the ratios of the relevant quantities between classicalizing and non-classicalizing theory actually decrease which is quite contrary to the expected behaviour if classicalization is supposed to self-unitarize certain class of theories beyond cut-off energy.

9.532169

9.385013

9.076715

8.839018

9.686753

9.36515

9.739642

9.5626

8.922475

9.367663

9.66903

9.088449

9.024147

8.562441

8.902397

9.022295

8.846526

8.729243

8.744516

8.958849

8.995302

hep-th/0204008

Gary Gibbons

G. W. Gibbons

Cosmological Evolution of the Rolling Tachyon

6 pages, no figures, typos corrected and two refs inserted

Phys.Lett.B537:1-4,2002

10.1016/S0370-2693(02)01881-6

DAMTP-2002-38

hep-th

null

The cosmological effects of the tachyon rolling down to its ground state are discussed by coupling a simple effective field theory for the tachyon field to Einstein gravity. As the tachyon rolls down to the minimum of its potential the universe expands. Depending upon initial conditions, the scale factor may or may not start off accelerating, but ultimately it ceases to do so and the final flat spacetime is either static in the rest frame of the tachyon (if $k=0$) or (if $k=-1$) given by the Milne model.

[ { "created": "Sun, 31 Mar 2002 18:35:36 GMT", "version": "v1" }, { "created": "Thu, 18 Apr 2002 11:03:50 GMT", "version": "v2" } ]

2009-10-07

[ [ "Gibbons", "G. W.", "" ] ]

The cosmological effects of the tachyon rolling down to its ground state are discussed by coupling a simple effective field theory for the tachyon field to Einstein gravity. As the tachyon rolls down to the minimum of its potential the universe expands. Depending upon initial conditions, the scale factor may or may not start off accelerating, but ultimately it ceases to do so and the final flat spacetime is either static in the rest frame of the tachyon (if $k=0$) or (if $k=-1$) given by the Milne model.

8.088049

7.690761

8.112985

7.319797

7.502444

8.373774

7.6619

8.046511

7.497313

8.962387

7.244251

7.139828

7.796318

7.161508

7.380455

7.288503

7.426467

7.410626

7.316255

7.550065

7.157778

hep-th/0611068

Dermot O'Reilly

D. O'Reilly

String Corrected Supergravity; A Complete and Consistent Non-Minimal Solution

10 pages

null

hep-th

null

We complete the solution to string corrected (deformed), D=10, N=1 Supergravity as the non-minimal low energy limit of string theory. We reaffirm a previously given solution, and we make important corrections to that solution. We solve what was an apparently intractable Bianchi identity in superspace, and we introduce a new important modification to the known first order results. In so doing we show that this approach to string corrected supergravity is indeed a consistent approach and we pave the way for many applications of the results.

[ { "created": "Mon, 6 Nov 2006 19:29:19 GMT", "version": "v1" }, { "created": "Wed, 8 Nov 2006 19:17:08 GMT", "version": "v2" }, { "created": "Fri, 10 Nov 2006 16:54:26 GMT", "version": "v3" }, { "created": "Mon, 13 Nov 2006 16:27:37 GMT", "version": "v4" }, { "created": "Wed, 15 Nov 2006 16:31:34 GMT", "version": "v5" }, { "created": "Mon, 27 Nov 2006 18:17:28 GMT", "version": "v6" }, { "created": "Tue, 28 Nov 2006 18:34:03 GMT", "version": "v7" }, { "created": "Wed, 29 Nov 2006 17:06:18 GMT", "version": "v8" }, { "created": "Fri, 15 Dec 2006 19:28:15 GMT", "version": "v9" } ]

2007-05-23

[ [ "O'Reilly", "D.", "" ] ]

We complete the solution to string corrected (deformed), D=10, N=1 Supergravity as the non-minimal low energy limit of string theory. We reaffirm a previously given solution, and we make important corrections to that solution. We solve what was an apparently intractable Bianchi identity in superspace, and we introduce a new important modification to the known first order results. In so doing we show that this approach to string corrected supergravity is indeed a consistent approach and we pave the way for many applications of the results.

19.946976

15.557296

17.863676

15.400218

15.112858

14.465894

14.487185

14.731926

14.602516

16.924675

15.341599

15.54069

16.8016

15.650353

16.014494

15.348083

15.878693

16.355305

15.593721

16.404121

15.740995

1603.07367

Andrew K. Waldron

A. Rod Gover and Andrew Waldron

Renormalized Volume

31 pages, LaTeX, 5 figures, anomaly formula generalized to any bulk geometry, improved discussion of hypersurfaces with boundary

Communications in Mathematical Physics, volume 354, issue 3, pages 1205-1244, 2017

10.1007/s00220-017-2920-z

null

hep-th gr-qc math.DG

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

We develop a universal distributional calculus for regulated volumes of metrics that are singular along hypersurfaces. When the hypersurface is a conformal infinity we give simple integrated distribution expressions for the divergences and anomaly of the regulated volume functional valid for any choice of regulator. For closed hypersurfaces or conformally compact geometries, methods from a previously developed boundary calculus for conformally compact manifolds can be applied to give explicit holographic formulae for the divergences and anomaly expressed as hypersurface integrals over local quantities (the method also extends to non-closed hypersurfaces). The resulting anomaly does not depend on any particular choice of regulator, while the regulator dependence of the divergences is precisely captured by these formulae. Conformal hypersurface invariants can be studied by demanding that the singular metric obey, smoothly and formally to a suitable order, a Yamabe type problem with boundary data along the conformal infinity. We prove that the volume anomaly for these singular Yamabe solutions is a conformally invariant integral of a local Q-curvature that generalizes the Branson Q-curvature by including data of the embedding. In each dimension this canonically defines a higher dimensional generalization of the Willmore energy/rigid string action. Recently Graham proved that the first variation of the volume anomaly recovers the density obstructing smooth solutions to this singular Yamabe problem; we give a new proof of this result employing our boundary calculus. Physical applications of our results include studies of quantum corrections to entanglement entropies.

[ { "created": "Wed, 23 Mar 2016 21:17:34 GMT", "version": "v1" }, { "created": "Wed, 19 Oct 2016 00:48:16 GMT", "version": "v2" } ]

2017-10-03

[ [ "Gover", "A. Rod", "" ], [ "Waldron", "Andrew", "" ] ]

We develop a universal distributional calculus for regulated volumes of metrics that are singular along hypersurfaces. When the hypersurface is a conformal infinity we give simple integrated distribution expressions for the divergences and anomaly of the regulated volume functional valid for any choice of regulator. For closed hypersurfaces or conformally compact geometries, methods from a previously developed boundary calculus for conformally compact manifolds can be applied to give explicit holographic formulae for the divergences and anomaly expressed as hypersurface integrals over local quantities (the method also extends to non-closed hypersurfaces). The resulting anomaly does not depend on any particular choice of regulator, while the regulator dependence of the divergences is precisely captured by these formulae. Conformal hypersurface invariants can be studied by demanding that the singular metric obey, smoothly and formally to a suitable order, a Yamabe type problem with boundary data along the conformal infinity. We prove that the volume anomaly for these singular Yamabe solutions is a conformally invariant integral of a local Q-curvature that generalizes the Branson Q-curvature by including data of the embedding. In each dimension this canonically defines a higher dimensional generalization of the Willmore energy/rigid string action. Recently Graham proved that the first variation of the volume anomaly recovers the density obstructing smooth solutions to this singular Yamabe problem; we give a new proof of this result employing our boundary calculus. Physical applications of our results include studies of quantum corrections to entanglement entropies.

13.383862

16.14596

16.934027

14.05494

13.358987

15.117056

15.402855

14.894129

13.180946

16.598093

14.421678

13.689102

13.584007

13.069038

13.621101

13.632749

13.761454

13.593451

13.338793

13.895762

13.074028

1203.6398

Kiyoshi Shiraishi

Nahomi Kan (Yamaguchi Junior College), Koichiro Kobayashi and Kiyoshi Shiraishi (Yamaguchi University)

Nambu-Jona-Lasinio Model and Deconstructed Dimension

11 pages, 5 figures

Pioneer Journal of Mathematical Physics and its Applications, Volume 1, Issue 2 (2012) pp. 53-65

null

hep-th

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

The Nambu-Jona-Lasinio model with the mass matrix which appears in a deconstruction model is investigated. We consider two models. In Model A, a mass matrix belonging to a type used in dimensional deconstruction is introduced. In Model B, the four-fermion interaction has a structure of the matrix of the type of dimensional deconstruction. In these models, we find that generation of a dynamical fermion mass spectrum occurs in a strong coupling case.

[ { "created": "Thu, 29 Mar 2012 00:00:07 GMT", "version": "v1" } ]

2013-01-15

[ [ "Kan", "Nahomi", "", "Yamaguchi Junior College" ], [ "Kobayashi", "Koichiro", "", "Yamaguchi University" ], [ "Shiraishi", "Kiyoshi", "", "Yamaguchi University" ] ]

The Nambu-Jona-Lasinio model with the mass matrix which appears in a deconstruction model is investigated. We consider two models. In Model A, a mass matrix belonging to a type used in dimensional deconstruction is introduced. In Model B, the four-fermion interaction has a structure of the matrix of the type of dimensional deconstruction. In these models, we find that generation of a dynamical fermion mass spectrum occurs in a strong coupling case.

11.319779

10.024781

9.348539

9.701363

11.568565

9.966406

11.025301

10.462322

10.171952

10.913808

9.801975

9.88855

9.702364

9.645874

10.081563

10.043904

10.388356

10.581269

9.824691

10.020882

9.936409

2112.08336

David Peinador Veiga

Ricardo Monteiro, Silvia Nagy, Donal O'Connell, David Peinador Veiga and Matteo Sergola

NS-NS Spacetimes from Amplitudes

41 pages + appendices, 2 pdf figures. v2: minor changes, published version

null

10.1007/JHEP06(2022)021

QMUL-PH-21-53

hep-th

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

Recent work has shown how on-shell three-point amplitudes in gauge theory and gravity, representing the coupling to massive particles, correspond in the classical limit to the curvature spinors of linearised solutions. This connection, made explicit via the KMOC formalism in split metric signature, turns the double copy of scattering amplitudes into the double copy of classical solutions. Here, we extend this framework to the universal massless sector of supergravity, which is the complete double copy of pure gauge theory. Our extension relies on a Riemann-Cartan curvature incorporating the dilaton and the B-field. In this setting, we can determine the most general double copy arising from the product of distinct gauge theory solutions, say a dyon and $\sqrt{\text{Kerr}}$. This gives a double-copy interpretation to gravity solutions of the type Kerr-Taub-NUT-dilaton-axion. We also discuss the extension to heterotic gravity. Finally, we describe how this formalism for the classical double copy relates to others in the literature, namely (i) why it is an on-shell momentum space analogue of the convolutional prescription, and (ii) why a straightforward prescription in position space is possible for certain vacuum solutions.

[ { "created": "Wed, 15 Dec 2021 18:33:57 GMT", "version": "v1" }, { "created": "Sat, 22 Oct 2022 11:28:15 GMT", "version": "v2" } ]

2022-10-25

[ [ "Monteiro", "Ricardo", "" ], [ "Nagy", "Silvia", "" ], [ "O'Connell", "Donal", "" ], [ "Veiga", "David Peinador", "" ], [ "Sergola", "Matteo", "" ] ]

Recent work has shown how on-shell three-point amplitudes in gauge theory and gravity, representing the coupling to massive particles, correspond in the classical limit to the curvature spinors of linearised solutions. This connection, made explicit via the KMOC formalism in split metric signature, turns the double copy of scattering amplitudes into the double copy of classical solutions. Here, we extend this framework to the universal massless sector of supergravity, which is the complete double copy of pure gauge theory. Our extension relies on a Riemann-Cartan curvature incorporating the dilaton and the B-field. In this setting, we can determine the most general double copy arising from the product of distinct gauge theory solutions, say a dyon and $\sqrt{\text{Kerr}}$. This gives a double-copy interpretation to gravity solutions of the type Kerr-Taub-NUT-dilaton-axion. We also discuss the extension to heterotic gravity. Finally, we describe how this formalism for the classical double copy relates to others in the literature, namely (i) why it is an on-shell momentum space analogue of the convolutional prescription, and (ii) why a straightforward prescription in position space is possible for certain vacuum solutions.

14.581757

15.743173

15.304064

12.939979

13.920915

14.420779

14.711351

13.615422

13.562393

17.014837

13.893188

14.058599

14.225183

13.836477

14.047157

14.060724

13.722573

13.944025

13.478675

14.661039

13.697855

hep-th/0505045

Yoshinao Sato

Dissolving D0-brane into D2-brane with background B-field

42 pages, 20 figures, JHEP style; references added, clarifications added in section 3.1; references added

JHEP 0512 (2005) 032

10.1088/1126-6708/2005/12/032

UT-Komaba/05-4

hep-th

null

D0-branes on a D2-brane with a constant background B-field are unstable due to the presence of a tachyonic mode and expected to dissolve into the D2-brane to formulate a constant D0-charge density. In this paper we study such a dissolution process in terms of a noncommutative gauge theory. Our results show that the localized D0-brane spreads out over all of space on the D2-brane as the tachyon rolls down into a stable vacuum. D0-branes on a D2-brane can be described as unstable solitons in a noncommutative gauge theory in 2+1 dimensions in the Seiberg-Witten limit. In contrast to the case of annihilation of a non-BPS D-brane, we are free from difficulty of disappearance of DOF, since there exist open strings after the tachyon condensation. We solve an equation of motion of the gauge field numerically, and our results show that the localized soliton smears over all of noncommutative space. In addition, we evaluate distributions of D-brane charge, F-string charge, and energy density via formulas derived in Matrix theory. Our results show that the initial singularities of D0-charge and energy density are resolved by turning on the tachyon, and they disperse over the whole space on the D2-brane during the tachyon condensation process.

[ { "created": "Thu, 5 May 2005 12:46:31 GMT", "version": "v1" }, { "created": "Fri, 15 Jul 2005 05:48:23 GMT", "version": "v2" }, { "created": "Mon, 5 Sep 2005 07:58:58 GMT", "version": "v3" } ]

2009-11-11

[ [ "Sato", "Yoshinao", "" ] ]

D0-branes on a D2-brane with a constant background B-field are unstable due to the presence of a tachyonic mode and expected to dissolve into the D2-brane to formulate a constant D0-charge density. In this paper we study such a dissolution process in terms of a noncommutative gauge theory. Our results show that the localized D0-brane spreads out over all of space on the D2-brane as the tachyon rolls down into a stable vacuum. D0-branes on a D2-brane can be described as unstable solitons in a noncommutative gauge theory in 2+1 dimensions in the Seiberg-Witten limit. In contrast to the case of annihilation of a non-BPS D-brane, we are free from difficulty of disappearance of DOF, since there exist open strings after the tachyon condensation. We solve an equation of motion of the gauge field numerically, and our results show that the localized soliton smears over all of noncommutative space. In addition, we evaluate distributions of D-brane charge, F-string charge, and energy density via formulas derived in Matrix theory. Our results show that the initial singularities of D0-charge and energy density are resolved by turning on the tachyon, and they disperse over the whole space on the D2-brane during the tachyon condensation process.

7.009863

6.798706

7.667506

6.436719

6.575101

7.18356

6.830831

6.59437

6.496853

8.240156

6.559121

6.542461

7.159117

6.531604

6.415552

6.472694

6.469847

6.461354

6.53114

6.975364

6.571586

1011.5570

Keijo Kajantie

K. Kajantie, M. Vepsalainen

Spatial scalar correlator in strongly coupled hot N=4 Yang-Mills theory

15 pages, 11 figures, reference added, equation corrected, numerical constant analytically evaluated

Phys.Rev.D83:066003,2011

10.1103/PhysRevD.83.066003

HIP-2010-32/TH

hep-th hep-ph

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

We use AdS/CFT duality to compute in N=4 Yang-Mills theory the finite temperature spatial correlator G(r) of the scalar operator F^2, integrated over imaginary time. The computation is carried out both at zero frequency and integrating the spectral function over frequencies. The result is compared with a perturbative computation in finite T SU(N_c) Yang-Mills theory.

[ { "created": "Thu, 25 Nov 2010 09:03:43 GMT", "version": "v1" }, { "created": "Wed, 15 Dec 2010 11:45:47 GMT", "version": "v2" } ]

2011-03-21

[ [ "Kajantie", "K.", "" ], [ "Vepsalainen", "M.", "" ] ]

We use AdS/CFT duality to compute in N=4 Yang-Mills theory the finite temperature spatial correlator G(r) of the scalar operator F^2, integrated over imaginary time. The computation is carried out both at zero frequency and integrating the spectral function over frequencies. The result is compared with a perturbative computation in finite T SU(N_c) Yang-Mills theory.

10.217277

9.343847

10.193574

8.467437

9.980514

9.641277

9.872326

9.374981

9.369421

11.5592

8.988809

8.266082

9.00425

8.593567

8.509033

8.821421

8.481196

8.476167

8.520806

9.924318

8.308402

1501.05315

Matthew Walters

A. Liam Fitzpatrick, Jared Kaplan, and Matthew T. Walters

Virasoro Conformal Blocks and Thermality from Classical Background Fields

27+7 pages, 3 figures; typos corrected, citations added

JHEP 11 (2015) 200

10.1007/JHEP11(2015)200

null

hep-th cond-mat.stat-mech

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

We show that in 2d CFTs at large central charge, the coupling of the stress tensor to heavy operators can be re-absorbed by placing the CFT in a non-trivial background metric. This leads to a more precise computation of the Virasoro conformal blocks between heavy and light operators, which are shown to be equivalent to global conformal blocks evaluated in the new background. We also generalize to the case where the operators carry U(1) charges. The refined Virasoro blocks can be used as the seed for a new Virasoro block recursion relation expanded in the heavy-light limit. We comment on the implications of our results for the universality of black hole thermality in $AdS_3$, or equivalently, the eigenstate thermalization hypothesis for $CFT_2$ at large central charge.

[ { "created": "Wed, 21 Jan 2015 21:00:20 GMT", "version": "v1" }, { "created": "Fri, 6 Feb 2015 19:04:54 GMT", "version": "v2" }, { "created": "Thu, 15 Oct 2015 17:18:53 GMT", "version": "v3" } ]

2015-12-08

[ [ "Fitzpatrick", "A. Liam", "" ], [ "Kaplan", "Jared", "" ], [ "Walters", "Matthew T.", "" ] ]

We show that in 2d CFTs at large central charge, the coupling of the stress tensor to heavy operators can be re-absorbed by placing the CFT in a non-trivial background metric. This leads to a more precise computation of the Virasoro conformal blocks between heavy and light operators, which are shown to be equivalent to global conformal blocks evaluated in the new background. We also generalize to the case where the operators carry U(1) charges. The refined Virasoro blocks can be used as the seed for a new Virasoro block recursion relation expanded in the heavy-light limit. We comment on the implications of our results for the universality of black hole thermality in $AdS_3$, or equivalently, the eigenstate thermalization hypothesis for $CFT_2$ at large central charge.

6.347187

6.195078

7.332689

6.082036

5.845139

6.361279

6.140667

6.049137

5.991286

7.612815

6.137307

6.13712

6.520505

6.118825

6.24362

6.159507

6.148098

6.116276

6.101654

6.448734

6.225897

2408.03670

Ashis Saha

Souvik Paul, Anirban Roy Chowdhury, Ashis Saha, Sunandan Gangopadhyay

Information theoretic measures for Lifshitz system

51 pages LaTex, multiple figures, comments are welcome

null

hep-th gr-qc

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

In this work, we have studied various mixed state information theoretic quantities for an excited state of Lifshitz spacetime in $3+1$-dimensions. This geometry is the gravity dual to a class of $2+1$-dimensional quantum field theories having Lifshitz symmetry. We have holographically calculated mutual information, entanglement wedge cross section, entanglement negativity and mutual complexity for strip like subsystems at the boundary. For this we have used the results of holographic entanglement entropy and complexity present in the literature. We first calculate all of these mentioned quantities for the pure state of Lifshitz spacetime. Then we have moved on to calculate all these quantities for excited state of the Lifshitz spacetime. The gravity dual of excited state of Lifshitz systems in field theory can be obtained by applying constant perturbations along the boundary direction. Further, we would like to mention that for the simplicity of calculation we are only considering results up to the first order in perturbation. The change in the obtained holographic information theoretic quantities are then related to entanglement entropy, entanglement pressure, entanglement chemical potential and charge using the stress tensor complex. These relations are analogous to the first law of entanglement thermodynamics given earlier in the literature. All the calculations are carried out for both values of dynamical scaling exponent ($z$) present in the Lifshitz field theory.

[ { "created": "Wed, 7 Aug 2024 10:25:30 GMT", "version": "v1" } ]

2024-08-08

[ [ "Paul", "Souvik", "" ], [ "Chowdhury", "Anirban Roy", "" ], [ "Saha", "Ashis", "" ], [ "Gangopadhyay", "Sunandan", "" ] ]

In this work, we have studied various mixed state information theoretic quantities for an excited state of Lifshitz spacetime in $3+1$-dimensions. This geometry is the gravity dual to a class of $2+1$-dimensional quantum field theories having Lifshitz symmetry. We have holographically calculated mutual information, entanglement wedge cross section, entanglement negativity and mutual complexity for strip like subsystems at the boundary. For this we have used the results of holographic entanglement entropy and complexity present in the literature. We first calculate all of these mentioned quantities for the pure state of Lifshitz spacetime. Then we have moved on to calculate all these quantities for excited state of the Lifshitz spacetime. The gravity dual of excited state of Lifshitz systems in field theory can be obtained by applying constant perturbations along the boundary direction. Further, we would like to mention that for the simplicity of calculation we are only considering results up to the first order in perturbation. The change in the obtained holographic information theoretic quantities are then related to entanglement entropy, entanglement pressure, entanglement chemical potential and charge using the stress tensor complex. These relations are analogous to the first law of entanglement thermodynamics given earlier in the literature. All the calculations are carried out for both values of dynamical scaling exponent ($z$) present in the Lifshitz field theory.

7.605803

7.320929

7.970082

7.08367

7.212455

6.745145

6.615305

6.8933

6.793849

8.200602

6.879798

6.872453

7.355309

6.974667

7.017141

6.962064

6.960939

6.811995

6.815191

7.205276

6.829536

0804.0412

Kewang Jin

Antal Jevicki, Kewang Jin

Solitons and AdS String Solutions

10 pages, 3 figures, contribution to Proceedings of Osaka workshop, OCU, December 2007

Int.J.Mod.Phys.A23:2289-2298,2008

10.1142/S0217751X0804113X

null

hep-th

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

In this contribution we describe some soliton based techniques for generating classical AdS string solutions. The methods introduced are useful for further understanding of rotating AdS configurations with spikes which correspond to higher twist operators in SYM theory. The main identification (accomplished in arXiv:0712.1193) between solitons and string spikes is reviewed and extended. We describe how inverse scattering technique can be applied for reconstructing AdS string configurations from soliton solutions of sinh-Gordon theory (in the example of ${\rm AdS}_3$).

[ { "created": "Wed, 2 Apr 2008 19:21:14 GMT", "version": "v1" } ]

2009-09-29

[ [ "Jevicki", "Antal", "" ], [ "Jin", "Kewang", "" ] ]

In this contribution we describe some soliton based techniques for generating classical AdS string solutions. The methods introduced are useful for further understanding of rotating AdS configurations with spikes which correspond to higher twist operators in SYM theory. The main identification (accomplished in arXiv:0712.1193) between solitons and string spikes is reviewed and extended. We describe how inverse scattering technique can be applied for reconstructing AdS string configurations from soliton solutions of sinh-Gordon theory (in the example of ${\rm AdS}_3$).

17.29229

14.266478

17.120159

13.831639

14.073677

14.985267

15.201123

13.740458

15.464467

18.966249

13.903503

14.47212

15.994951

14.27125

15.132804

14.968659

14.441075

15.03975

14.597904

15.711517

14.883096

2406.04310

Ehsan Hatefi

Armin Hatefi, Ehsan Hatefi, Roberto J. Lopez-Sastre

Neural Networks Assisted Metropolis-Hastings for Bayesian Estimation of Critical Exponent on Elliptic Black Hole Solution in 4D Using Quantum Perturbation Theory

V2: 3 extra figures for loss functions on Gaussian proposal distributions are added. Section 4 is modified. 37 pages, 14 figures

null

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

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

It is well-known that the critical gravitational collapse produces continuous self-similar solutions characterized by the Choptuik critical exponent, $\gamma$. We examine the solutions in the domains of the linear perturbation equations, considering the numerical measurement errors. Specifically, we study quantum perturbation theory for the four-dimensional Einstein-axion-dilaton system of the elliptic class of $\text{SL}(2,\mathbb{R})$ transformations. We develop a novel artificial neural network-assisted Metropolis-Hastings algorithm based on quantum perturbation theory to find the distribution of the critical exponent in a Bayesian framework. Unlike existing methods, this new probabilistic approach identifies the available deterministic solution and explores the range of physically distinguishable critical exponents that may arise due to numerical measurement errors.

[ { "created": "Thu, 6 Jun 2024 17:55:55 GMT", "version": "v1" }, { "created": "Wed, 19 Jun 2024 15:46:22 GMT", "version": "v2" } ]

2024-06-21

[ [ "Hatefi", "Armin", "" ], [ "Hatefi", "Ehsan", "" ], [ "Lopez-Sastre", "Roberto J.", "" ] ]

It is well-known that the critical gravitational collapse produces continuous self-similar solutions characterized by the Choptuik critical exponent, $\gamma$. We examine the solutions in the domains of the linear perturbation equations, considering the numerical measurement errors. Specifically, we study quantum perturbation theory for the four-dimensional Einstein-axion-dilaton system of the elliptic class of $\text{SL}(2,\mathbb{R})$ transformations. We develop a novel artificial neural network-assisted Metropolis-Hastings algorithm based on quantum perturbation theory to find the distribution of the critical exponent in a Bayesian framework. Unlike existing methods, this new probabilistic approach identifies the available deterministic solution and explores the range of physically distinguishable critical exponents that may arise due to numerical measurement errors.

15.850147

13.901031

13.988645

13.390246

14.014291

13.383675

14.281434

12.628972

14.090754

14.276689

14.122976

14.587828

14.220974

14.335792

14.258336

14.864776

13.986693

13.477126

14.083233

14.192603

14.238649

0811.2359

Enrique Moreno

E. F. Moreno, F. A. Schaposnik

BPS Equations and the Stress Tensor

13 pages, LaTex

Phys.Lett.B673:72-76,2009

10.1016/j.physletb.2009.01.063

null

hep-th

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

We exploit the relationship between the space components of the energy-momentum tensor and the supercurrent to discuss the connection between the BPS equations and the vanishing of the components of the stress tensor in various supersymmetric theories with solitons. Using the fact that certain combination of supercharges annihilate BPS states, we show that $T_{ij}=0$ for kinks, vortices and dyons, displaying the connection between supersymmetry and non-interacting BPS solitons.

[ { "created": "Fri, 14 Nov 2008 15:28:30 GMT", "version": "v1" } ]

2010-05-27

[ [ "Moreno", "E. F.", "" ], [ "Schaposnik", "F. A.", "" ] ]

We exploit the relationship between the space components of the energy-momentum tensor and the supercurrent to discuss the connection between the BPS equations and the vanishing of the components of the stress tensor in various supersymmetric theories with solitons. Using the fact that certain combination of supercharges annihilate BPS states, we show that $T_{ij}=0$ for kinks, vortices and dyons, displaying the connection between supersymmetry and non-interacting BPS solitons.

8.868827

7.987237

8.601711

7.43127

8.178908

8.25556

7.964399

7.631583

7.847021

8.214087

7.385847

7.777294

7.882731

7.393164

7.585288

7.334992

7.890895

7.473413

7.468454

7.921111

7.740988

hep-th/9502009

Murat Gunaydin

Murat Gunaydin and Hermann Nicolai

Seven Dimensional Octonionic Yang-Mills Instanton and its Extension to an Heterotic String Soliton

7 pages, Latex document. This is the final version that appeared in Phys. Lett. B that includes an extra paragraph about the physical properties of the octonionic two-brane. We have also put an addendum regarding some related references that were brought to our attention recently

Phys.Lett.B351:169-172,1995; Addendum-ibid.B376:329,1996

10.1016/0370-2693(95)00375-U

null

hep-th

null

We construct an octonionic instanton solution to the seven dimensional Yang-Mills theory based on the exceptional gauge group $G_2$ which is the automorphism group of the division algebra of octonions. This octonionic instanton has an extension to a solitonic two-brane solution of the low energy effective theory of the heterotic string that preserves two of the sixteen supersymmetries and hence corresponds to $N=1$ space-time supersymmetry in the (2+1) dimensions transverse to the seven dimensions where the Yang-Mills instanton is defined.

[ { "created": "Wed, 1 Feb 1995 23:13:37 GMT", "version": "v1" }, { "created": "Tue, 27 Feb 1996 19:12:32 GMT", "version": "v2" } ]

2011-02-09

[ [ "Gunaydin", "Murat", "" ], [ "Nicolai", "Hermann", "" ] ]

We construct an octonionic instanton solution to the seven dimensional Yang-Mills theory based on the exceptional gauge group $G_2$ which is the automorphism group of the division algebra of octonions. This octonionic instanton has an extension to a solitonic two-brane solution of the low energy effective theory of the heterotic string that preserves two of the sixteen supersymmetries and hence corresponds to $N=1$ space-time supersymmetry in the (2+1) dimensions transverse to the seven dimensions where the Yang-Mills instanton is defined.

5.262977

4.566978

5.259892

4.589396

4.834293

4.8552

4.956511

4.473835

4.823306

5.475462

4.638343

4.623787

4.696435

4.456304

4.724981

4.577897

4.67837

4.428359

4.566697

4.84726

4.627248

hep-th/9410002

null

M. Kibler

Application of Non-Bijective Transformations to Various Potentials

8 pages, Tex, LYCEN 8766

null

hep-th

null

Some results about non-bijective quadratic transformations generalizing the Kustaanheimo-Stiefel and the Levi-Civita transformations are reviewed in \S 1. The three remaining sections are devoted to new results: \S 2 deals with the Lie algebras under constraints associated to some Hurwitz transformations; \S 3 and \S 4 are concerned with several applications of some Hurwitz transformations to wave equations for various potentials in $R^3$ and $R^5$.

[ { "created": "Mon, 3 Oct 1994 15:14:07 GMT", "version": "v1" } ]

2007-05-23

[ [ "Kibler", "M.", "" ] ]

Some results about non-bijective quadratic transformations generalizing the Kustaanheimo-Stiefel and the Levi-Civita transformations are reviewed in \S 1. The three remaining sections are devoted to new results: \S 2 deals with the Lie algebras under constraints associated to some Hurwitz transformations; \S 3 and \S 4 are concerned with several applications of some Hurwitz transformations to wave equations for various potentials in $R^3$ and $R^5$.

8.553932

8.855387

10.292656

8.300592

8.128379

9.459633

8.37725

9.623092

8.930803

9.479243

8.072706

8.119989

8.478803

7.879291

8.450665

8.208299

8.089

8.040723

8.608984

8.826045

7.915829

1805.00284

Yogesh Dandekar

Sayantani Bhattacharyya, Parthajit Biswas, Yogesh Dandekar

Black holes in presence of cosmological constant: Second order in 1/D

55 pages, v2: minor corrections

null

10.1007/JHEP10(2018)171

null

hep-th

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

We have extended the results of arXiv:1704.06076 upto second subleading order in an expansion around large dimension D. Unlike the previous case, there are non-trivial metric corrections at this order. Due to our `background-covariant' formalism, the dependence on Ricci and the Riemann curvature tensor of the background is manifest here. The gravity system is dual to a dynamical membrane coupled with a velocity field. The dual membrane is embedded in some smooth background geometry that also satisfies the Einstein equation in presence of cosmological constant. We explicitly computed the corrections to the equation governing the membrane-dynamics. Our results match with earlier derivations in appropriate limits. We calculated the spectrum of QNM from our membrane equations and matched them against similar results derived from gravity.

[ { "created": "Tue, 1 May 2018 12:12:54 GMT", "version": "v1" }, { "created": "Tue, 3 Jul 2018 10:40:54 GMT", "version": "v2" } ]

2018-11-14

[ [ "Bhattacharyya", "Sayantani", "" ], [ "Biswas", "Parthajit", "" ], [ "Dandekar", "Yogesh", "" ] ]

We have extended the results of arXiv:1704.06076 upto second subleading order in an expansion around large dimension D. Unlike the previous case, there are non-trivial metric corrections at this order. Due to our `background-covariant' formalism, the dependence on Ricci and the Riemann curvature tensor of the background is manifest here. The gravity system is dual to a dynamical membrane coupled with a velocity field. The dual membrane is embedded in some smooth background geometry that also satisfies the Einstein equation in presence of cosmological constant. We explicitly computed the corrections to the equation governing the membrane-dynamics. Our results match with earlier derivations in appropriate limits. We calculated the spectrum of QNM from our membrane equations and matched them against similar results derived from gravity.

17.255142

14.880303

18.299351

15.704327

16.454985

15.403791

16.617071

15.832567

15.56175

19.338512

15.239355

15.610111

17.358866

16.105844

15.166565

15.793436

16.15642

15.796081

15.819047

16.620974

15.758307

hep-th/0411040

Jessie Shelton

Closed Superstring Emission from Rolling Tachyon Backgrounds

23 pages

JHEP0501:037,2005

10.1088/1126-6708/2005/01/037

MIT-CTP-3556

hep-th

null

We compute the lowest components of the Type II Ramond-Ramond boundary state for the tachyon profile $T (X) = \lambda e ^{X ^ 0/\sqrt{2}}$ by direct path integral evaluation. The calculation is made possible by noting that the integrals involved in the requisite disk one-point functions reduce to integrals over the product group manifold $U (n)\times U (m)$. We further note that one-point functions of more general closed string operators in this background can also be related to $U (n)\times U (m)$ group integrals. Using this boundary state, we compute the closed string emission from a decaying unstable D$p$-brane of Type II string theory. We also discuss closed string emission from the tachyon profile $T (X) =\lambda\cosh (X ^ 0/\sqrt{2})$. We find in both cases that the total number of particles produced diverges for $p = 0$, while the energy radiated into closed string modes diverges for $p\leq 2$, in precise analogy to the bosonic case.

[ { "created": "Wed, 3 Nov 2004 17:02:06 GMT", "version": "v1" } ]

2009-11-10

[ [ "Shelton", "Jessie", "" ] ]

We compute the lowest components of the Type II Ramond-Ramond boundary state for the tachyon profile $T (X) = \lambda e ^{X ^ 0/\sqrt{2}}$ by direct path integral evaluation. The calculation is made possible by noting that the integrals involved in the requisite disk one-point functions reduce to integrals over the product group manifold $U (n)\times U (m)$. We further note that one-point functions of more general closed string operators in this background can also be related to $U (n)\times U (m)$ group integrals. Using this boundary state, we compute the closed string emission from a decaying unstable D$p$-brane of Type II string theory. We also discuss closed string emission from the tachyon profile $T (X) =\lambda\cosh (X ^ 0/\sqrt{2})$. We find in both cases that the total number of particles produced diverges for $p = 0$, while the energy radiated into closed string modes diverges for $p\leq 2$, in precise analogy to the bosonic case.

7.338681

7.466704

8.388391

6.911348

7.663468

7.327789

7.041992

7.211608

7.064356

8.68794

6.904005

7.085905

7.399129

7.182786

7.366203

7.006549

7.203996

7.142419

7.272355

7.532447

7.207184

hep-th/9305137

Miguel Angel Vazquez Mozo

M.A.R. Osorio and M.A. Vazquez-Mozo

Variations on Kaluza-Klein Cosmology

22 pages, 7 figures in a uuencoded file (using uufiles), LaTeX, FTUAM-93/13 (LaTeX errors corrected)

Mod.Phys.Lett.A8:3111-3128,1993

10.1142/S0217732393002063

null

hep-th

null

We investigate the cosmological consequences of having quantum fields living in a space with compactified dimensions. We will show that the equation of state is not modified by topological effects and so the dynamics of the universe remains as it is in the infinite volume limit. On the contrary the thermal history of the universe depends on terms that are associated with having non-trivial topology. In the conclusions we discuss some issues about the relationship between the $c=1$ non-critical string-inspired cosmology and the result obtained with matter given by a hot massless field in $S^{1}\times \mbox{\bf R}$.

[ { "created": "Tue, 25 May 1993 17:20:13 GMT", "version": "v1" }, { "created": "Wed, 26 May 1993 15:24:54 GMT", "version": "v2" } ]

2010-11-01

[ [ "Osorio", "M. A. R.", "" ], [ "Vazquez-Mozo", "M. A.", "" ] ]

We investigate the cosmological consequences of having quantum fields living in a space with compactified dimensions. We will show that the equation of state is not modified by topological effects and so the dynamics of the universe remains as it is in the infinite volume limit. On the contrary the thermal history of the universe depends on terms that are associated with having non-trivial topology. In the conclusions we discuss some issues about the relationship between the $c=1$ non-critical string-inspired cosmology and the result obtained with matter given by a hot massless field in $S^{1}\times \mbox{\bf R}$.

14.583503

12.416321

12.833858

11.599271

12.897799

13.466543

13.011042

12.587253

12.495007

14.0122

12.362927

13.694185

13.426606

13.282815

13.803731

13.746936

13.487342

13.572842

13.26577

13.145313

13.033585

1505.03571

Humberto Gomez

Freddy Cachazo, Humberto Gomez

Computation of Contour Integrals on ${\cal M}_{0,n}$

36+11 pp

null

10.1007/JHEP04(2016)108

null

hep-th

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

Contour integrals of rational functions over ${\cal M}_{0,n}$, the moduli space of $n$-punctured spheres, have recently appeared at the core of the tree-level S-matrix of massless particles in arbitrary dimensions. The contour is determined by the critical points of a certain Morse function on ${\cal M}_{0,n}$. The integrand is a general rational function of the puncture locations with poles of arbitrary order as two punctures coincide. In this note we provide an algorithm for the analytic computation of any such integral. The algorithm uses three ingredients: an operation we call general KLT, Petersen's theorem applied to the existence of a 2-factor in any 4-regular graph and Hamiltonian decompositions of certain 4-regular graphs. The procedure is iterative and reduces the computation of a general integral to that of simple building blocks. These are integrals which compute double-color-ordered partial amplitudes in a bi-adjoint cubic scalar theory.

[ { "created": "Wed, 13 May 2015 23:16:52 GMT", "version": "v1" } ]

2016-05-25

[ [ "Cachazo", "Freddy", "" ], [ "Gomez", "Humberto", "" ] ]

Contour integrals of rational functions over ${\cal M}_{0,n}$, the moduli space of $n$-punctured spheres, have recently appeared at the core of the tree-level S-matrix of massless particles in arbitrary dimensions. The contour is determined by the critical points of a certain Morse function on ${\cal M}_{0,n}$. The integrand is a general rational function of the puncture locations with poles of arbitrary order as two punctures coincide. In this note we provide an algorithm for the analytic computation of any such integral. The algorithm uses three ingredients: an operation we call general KLT, Petersen's theorem applied to the existence of a 2-factor in any 4-regular graph and Hamiltonian decompositions of certain 4-regular graphs. The procedure is iterative and reduces the computation of a general integral to that of simple building blocks. These are integrals which compute double-color-ordered partial amplitudes in a bi-adjoint cubic scalar theory.

8.118406

7.810259

9.77831

7.672012

8.839088

8.164532

7.727818

7.098652

7.477916

10.113295

7.587227

7.637456

7.595652

7.566169

7.478602

7.483222

7.594435

7.506745

7.651775

8.080573

7.519071

2309.14467

Gerben Oling

Leo Bidussi, Troels Harmark, Jelle Hartong, Niels A. Obers, Gerben Oling

Longitudinal Galilean and Carrollian limits of non-relativistic strings

29+3 pages; v2: minor changes

null

10.1007/JHEP12(2023)141

NORDITA-2023-042

hep-th

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

It is well known that one can take an infinite speed of light limit that gives rise to non-relativistic strings with a relativistic worldsheet sigma model but with a non-relativistic target space geometry. In this work we systematically explore two further limits in which the worldsheet becomes non-Lorentzian. The first gives rise to a Galilean string with a Galilean structure on the worldsheet, extending previous work on Spin Matrix-related string theory limits. The second is a completely novel limit leading to a worldsheet theory with a Carrollian structure. We find the Nambu-Goto and Polyakov formulations of both limits and explore gauge fixing choices. Furthermore, we study in detail the case of the Galilean string for a class of target space geometries that are related to Spin Matrix target space geometries, for which the Nambu-Goto action (in static gauge) is quadratic in the fields.

[ { "created": "Mon, 25 Sep 2023 18:59:41 GMT", "version": "v1" }, { "created": "Thu, 28 Dec 2023 14:59:12 GMT", "version": "v2" } ]

2023-12-29

[ [ "Bidussi", "Leo", "" ], [ "Harmark", "Troels", "" ], [ "Hartong", "Jelle", "" ], [ "Obers", "Niels A.", "" ], [ "Oling", "Gerben", "" ] ]

It is well known that one can take an infinite speed of light limit that gives rise to non-relativistic strings with a relativistic worldsheet sigma model but with a non-relativistic target space geometry. In this work we systematically explore two further limits in which the worldsheet becomes non-Lorentzian. The first gives rise to a Galilean string with a Galilean structure on the worldsheet, extending previous work on Spin Matrix-related string theory limits. The second is a completely novel limit leading to a worldsheet theory with a Carrollian structure. We find the Nambu-Goto and Polyakov formulations of both limits and explore gauge fixing choices. Furthermore, we study in detail the case of the Galilean string for a class of target space geometries that are related to Spin Matrix target space geometries, for which the Nambu-Goto action (in static gauge) is quadratic in the fields.

8.509319

6.969408

9.066298

7.517015

7.823138

7.744931

8.356373

7.144029

7.392272

9.505618

7.551136

7.953061

8.475098

7.84665

7.749771

7.889372

7.79503

7.741421

7.693878

8.427463

7.816695

0809.1137

Kazuo Ghoroku

Kazuo Ghoroku, Masafumi Ishihara, Akihiro Nakamura and Fumihiko Toyoda

Baryonium in Confining Gauge Theories

13 pages, 4 figures

JHEP 0904:041,2009

10.1088/1126-6708/2009/04/041

FIT HE - 08-03

hep-th

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

We show a new class of embedding solutions of D5 brane, which wraps on $S^5$ in the AdS${}_5\times S^5$ space-time and contains fundamental strings as U(1) flux to form a baryon vertex. The new solution given here is different from the baryon vertex since it consists of two same side (north or south) poles of $S^5$ as cusps, which are put on different points in our three dimensional space. This implies that the same magnitude of electric displacement exists at each cusp, but their orientations are opposite due to the flux number conservation. This configuration is therefore regarded as a D5-$\bar{D5}$ bound state, and we propose this as the vertex of a baryonium state, which is made of a baryon and an anti-baryon. By attaching quarks and anti-quarks to the two cusps of this vertex, it is possible to construct a realistic baryonium.

[ { "created": "Sat, 6 Sep 2008 05:59:08 GMT", "version": "v1" }, { "created": "Wed, 7 Jan 2009 09:48:53 GMT", "version": "v2" }, { "created": "Tue, 24 Feb 2009 08:36:44 GMT", "version": "v3" } ]

2009-04-17

[ [ "Ghoroku", "Kazuo", "" ], [ "Ishihara", "Masafumi", "" ], [ "Nakamura", "Akihiro", "" ], [ "Toyoda", "Fumihiko", "" ] ]

We show a new class of embedding solutions of D5 brane, which wraps on $S^5$ in the AdS${}_5\times S^5$ space-time and contains fundamental strings as U(1) flux to form a baryon vertex. The new solution given here is different from the baryon vertex since it consists of two same side (north or south) poles of $S^5$ as cusps, which are put on different points in our three dimensional space. This implies that the same magnitude of electric displacement exists at each cusp, but their orientations are opposite due to the flux number conservation. This configuration is therefore regarded as a D5-$\bar{D5}$ bound state, and we propose this as the vertex of a baryonium state, which is made of a baryon and an anti-baryon. By attaching quarks and anti-quarks to the two cusps of this vertex, it is possible to construct a realistic baryonium.

10.313077

9.780371

10.158155

9.187188

10.081056

9.616044

10.0752

9.947259

8.968225

10.784138

10.128685

9.787443

9.678794

9.476735

9.527209

9.494122

9.547174

9.505494

9.72296

10.228871

9.550329

hep-th/0511207

Hiroshi Suzuki

Hiroto So and Hiroshi Suzuki

Zero-dimensional analogue of the global gauge anomaly

6 pages, uses PTPTeX.cls, the final version to appear in Prog. Theor. Phys

Prog.Theor.Phys. 115 (2006) 467-471

10.1143/PTP.115.467

NIIG-DP-05-3, RIKEN-TH-57

hep-th hep-lat

null

A zero-dimensional analogue of Witten's global gauge anomaly is considered. For example, a zero-dimensional reduction of the two-dimensional $\SO(2N)$ Yang-Mills theory with a single Majorana-Weyl fermion in the fundamental representation suffers from this anomaly. Another example is a zero-dimensional reduction of two- and three-dimensional $\SU(2N_c)$ Yang-Mills theories which couple to a single Majorana fermion in the adjoint representation. In this case, any expectation value is either indeterminate or infinite.

[ { "created": "Mon, 21 Nov 2005 11:20:15 GMT", "version": "v1" }, { "created": "Thu, 19 Jan 2006 07:23:48 GMT", "version": "v2" } ]

2009-11-11

[ [ "So", "Hiroto", "" ], [ "Suzuki", "Hiroshi", "" ] ]

A zero-dimensional analogue of Witten's global gauge anomaly is considered. For example, a zero-dimensional reduction of the two-dimensional $\SO(2N)$ Yang-Mills theory with a single Majorana-Weyl fermion in the fundamental representation suffers from this anomaly. Another example is a zero-dimensional reduction of two- and three-dimensional $\SU(2N_c)$ Yang-Mills theories which couple to a single Majorana fermion in the adjoint representation. In this case, any expectation value is either indeterminate or infinite.

8.019462

7.946757

7.622872

7.404295

8.936219

7.922139

7.856124

7.442472

7.442637

9.537944

6.979331

6.705689

7.379018

7.033905

7.132915

6.846518

6.700838

6.790937

6.749699

7.700878

6.855839

1106.2683

Yaron Oz

Igor Itkin and Yaron Oz

Penrose Inequality for Asymptotically AdS Spaces

4 pages, Latex, ref. added

null

10.1016/j.physletb.2012.01.007

null

hep-th gr-qc

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

In general relativity, the Penrose inequality relates the mass and the entropy associated with a gravitational background. If the inequality is violated by an initial Cauchy data, it suggests a creation of a naked singularity, thus providing means to consider the cosmic censorship hypothesis. We propose a general form of Penrose inequality for asymptotically locally AdS spaces.

[ { "created": "Tue, 14 Jun 2011 12:04:50 GMT", "version": "v1" }, { "created": "Thu, 7 Jul 2011 07:21:32 GMT", "version": "v2" } ]

2015-05-28

[ [ "Itkin", "Igor", "" ], [ "Oz", "Yaron", "" ] ]

In general relativity, the Penrose inequality relates the mass and the entropy associated with a gravitational background. If the inequality is violated by an initial Cauchy data, it suggests a creation of a naked singularity, thus providing means to consider the cosmic censorship hypothesis. We propose a general form of Penrose inequality for asymptotically locally AdS spaces.

8.674189

7.739772

7.963588

7.503747

9.233375

9.437898

8.512641

9.088053

8.153314

10.659901

8.41354

7.883099

8.17731

7.58919

8.12728

7.722548

7.641405

7.748076

7.750336

8.181295

7.685272

2312.13850

Torben Skrzypek

Torben Skrzypek, Arkady A. Tseytlin

On AdS/CFT duality in the twisted sector of string theory on $AdS_5 \times S^5/\mathbb{Z}_2$ orbifold background

29 pages, 3 figures; v2: an issue of residual irregularity of the $S^1$-fibration over $S^2$ in the resolution of the original orbifold singularity is pointed out, main conclusions are unchanged

null

Imperial-TP-AT-2023-07

hep-th

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

We consider type IIB string theory on an $AdS_5 \times S^5/\mathbb{Z}_2$ orbifold background, which should be dual to 4d $\mathcal{N}=2$ superconformal $SU(N)\times SU(N)$ gauge theory with two bi-fundamental hypermultiplets. The correlator of two chiral BPS operators from the twisted sector of this quiver CFT exhibits non-trivial dependence on the 't Hooft coupling $\lambda$ already in the planar limit. This dependence was recently determined using localisation and the expansion at large $\lambda$ contains a subleading contribution proportional to $\zeta(3) \lambda^{-3/2}$. We address the question of how to reproduce this correction on the string theory side by starting with the $\zeta(3) \alpha'^3$ term in the type IIB string effective action. We find a solution of type IIB supergravity which represents a resolution of the $AdS_5 \times S^5/\mathbb{Z}_2$ orbifold singularity and demonstrate that the relevant light twisted sector states may be identified as additional supergravity 2-form modes "wrapping" a finite 2-cycle in the resolution space. Reproducing the structure of the gauge theory result becomes more transparent in the large R-charge or BMN-like limit in which the resolved background takes a pp-wave form with the transverse space being a product of $\mathbb R^4$ and the Eguchi-Hanson space.

[ { "created": "Thu, 21 Dec 2023 13:47:37 GMT", "version": "v1" }, { "created": "Thu, 11 Jul 2024 08:42:35 GMT", "version": "v2" } ]

2024-07-12

[ [ "Skrzypek", "Torben", "" ], [ "Tseytlin", "Arkady A.", "" ] ]

We consider type IIB string theory on an $AdS_5 \times S^5/\mathbb{Z}_2$ orbifold background, which should be dual to 4d $\mathcal{N}=2$ superconformal $SU(N)\times SU(N)$ gauge theory with two bi-fundamental hypermultiplets. The correlator of two chiral BPS operators from the twisted sector of this quiver CFT exhibits non-trivial dependence on the 't Hooft coupling $\lambda$ already in the planar limit. This dependence was recently determined using localisation and the expansion at large $\lambda$ contains a subleading contribution proportional to $\zeta(3) \lambda^{-3/2}$. We address the question of how to reproduce this correction on the string theory side by starting with the $\zeta(3) \alpha'^3$ term in the type IIB string effective action. We find a solution of type IIB supergravity which represents a resolution of the $AdS_5 \times S^5/\mathbb{Z}_2$ orbifold singularity and demonstrate that the relevant light twisted sector states may be identified as additional supergravity 2-form modes "wrapping" a finite 2-cycle in the resolution space. Reproducing the structure of the gauge theory result becomes more transparent in the large R-charge or BMN-like limit in which the resolved background takes a pp-wave form with the transverse space being a product of $\mathbb R^4$ and the Eguchi-Hanson space.

5.932608

5.810297

6.814291

5.586513

5.586873

6.037111

5.802078

5.649468

5.717338

7.366815

5.605701

5.787645

6.141935

5.672609

5.828318

5.771505

5.756129

5.741002

5.751258

6.207015

5.726652

1406.1588

Mar\'ia Montserrat Ju\'arez-Aubry

Eloy Ay\'on-Beato, Mokhtar Hassa\"ine, Mar\'ia Montserrat Ju\'arez-Aubry

Towards the uniqueness of Lifshitz black holes and solitons in New Massive Gravity

10 pages, 5 figures

Phys. Rev. D 90, 044026 (2014)

10.1103/PhysRevD.90.044026

null

hep-th gr-qc

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

We prove that the z=1 and z=3 Lifshitz black hole solutions of New Massive Gravity in three dimensions are the only static axisymmetric solutions that can be cast in a Kerr-Schild form with a seed metric given by the Lifshitz spacetime. Correspondingly, we study the issue of uniqueness of Lifshitz solitons when considering an ansatz involving a single metric function. We show this problem can be mapped to the previous one and that the z=1 and z=1/3 Lifshitz soliton solutions are the only ones within this class. Finally, our approach suggests for the first time an explanation as to what is special about those particular values of the dynamical critical exponent z at finite temperature.

[ { "created": "Fri, 6 Jun 2014 05:49:10 GMT", "version": "v1" }, { "created": "Mon, 2 Feb 2015 00:05:23 GMT", "version": "v2" }, { "created": "Wed, 15 Jul 2015 18:19:42 GMT", "version": "v3" } ]

2015-07-16

[ [ "Ayón-Beato", "Eloy", "" ], [ "Hassaïne", "Mokhtar", "" ], [ "Juárez-Aubry", "María Montserrat", "" ] ]

We prove that the z=1 and z=3 Lifshitz black hole solutions of New Massive Gravity in three dimensions are the only static axisymmetric solutions that can be cast in a Kerr-Schild form with a seed metric given by the Lifshitz spacetime. Correspondingly, we study the issue of uniqueness of Lifshitz solitons when considering an ansatz involving a single metric function. We show this problem can be mapped to the previous one and that the z=1 and z=1/3 Lifshitz soliton solutions are the only ones within this class. Finally, our approach suggests for the first time an explanation as to what is special about those particular values of the dynamical critical exponent z at finite temperature.

8.137249

7.449678

8.023542

7.077995

8.438068

8.052109

8.103916

7.120331

7.358935

8.612231

7.477989

7.291899

7.879976

7.303731

7.615599

7.382101

7.476873

6.953187

7.4791

7.918107

7.48779

1102.1073

Derek Teaney

Simon Caron-Huot, Paul M. Chesler, Derek Teaney

Fluctuation, dissipation, and thermalization in non-equilibrium AdS_5 black hole geometries

28 pages, 6 figures

Phys.Rev.D84:026012,2011

10.1103/PhysRevD.84.026012

null

hep-th hep-ph nucl-th

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

We give a simple recipe for computing dissipation and fluctuations (commutator and anti-commutator correlation functions) for non-equilibrium black hole geometries. The recipe formulates Hawking radiation as an initial value problem, and is suitable for numerical work. We show how to package the fluctuation and dissipation near the event horizon into correlators on the stretched horizon. These horizon correlators determine the bulk and boundary field theory correlation functions. In addition, the horizon correlators are the components of a horizon effective action which provides a quantum generalization of the membrane paradigm. In equilibrium, the analysis reproduces previous results on the Brownian motion of a heavy quark. Out of equilibrium, Wigner transforms of commutator and anti-commutator correlation functions obey a fluctuation-dissipation relation at high frequency.

[ { "created": "Sat, 5 Feb 2011 15:02:32 GMT", "version": "v1" } ]

2011-08-12

[ [ "Caron-Huot", "Simon", "" ], [ "Chesler", "Paul M.", "" ], [ "Teaney", "Derek", "" ] ]

We give a simple recipe for computing dissipation and fluctuations (commutator and anti-commutator correlation functions) for non-equilibrium black hole geometries. The recipe formulates Hawking radiation as an initial value problem, and is suitable for numerical work. We show how to package the fluctuation and dissipation near the event horizon into correlators on the stretched horizon. These horizon correlators determine the bulk and boundary field theory correlation functions. In addition, the horizon correlators are the components of a horizon effective action which provides a quantum generalization of the membrane paradigm. In equilibrium, the analysis reproduces previous results on the Brownian motion of a heavy quark. Out of equilibrium, Wigner transforms of commutator and anti-commutator correlation functions obey a fluctuation-dissipation relation at high frequency.

9.192629

8.069685

8.960649

8.042388

8.949605

8.243475

9.030141

8.30886

8.058561

9.645566

8.32703

8.252009

8.519609

8.304196

8.462561

8.637867

8.489175

8.269849

8.350123

8.762324

8.425034

hep-th/9405045

null

V. D. Lyakhovsky

Group-like Structures in Quantum Lie Algebras and the Process of Quantization

10 pages

null

SPBU-IP-94-2, St.Petersburg

hep-th alg-geom math.QA

null

For a certain class of Lie bialgebras $(A,A^*)$ the corresponding quantum universal enveloping algebras $U_q(A)$ are prooved to be equivalent to quantum groups Fun$_q(F^*)$, $F^*$ being the factor group for the dual group $G^*$. This property can be used to simplify the process of quantization. The described class appears to be wide enough to contain all the standard quantizations of infinite series. The properties of the groups $F^*$ are explicitly demonstrated for the standard deformations $U_q(SL(n))$. It is shown that for different $A^*$ (remaining in the described class of Lie bialgebras) the same algorithm leads to the nonstandard quantizations.

[ { "created": "Fri, 6 May 1994 12:36:56 GMT", "version": "v1" } ]

2008-02-03

[ [ "Lyakhovsky", "V. D.", "" ] ]

For a certain class of Lie bialgebras $(A,A^*)$ the corresponding quantum universal enveloping algebras $U_q(A)$ are prooved to be equivalent to quantum groups Fun$_q(F^*)$, $F^*$ being the factor group for the dual group $G^*$. This property can be used to simplify the process of quantization. The described class appears to be wide enough to contain all the standard quantizations of infinite series. The properties of the groups $F^*$ are explicitly demonstrated for the standard deformations $U_q(SL(n))$. It is shown that for different $A^*$ (remaining in the described class of Lie bialgebras) the same algorithm leads to the nonstandard quantizations.

10.062234

11.315638

10.560492

9.414584

11.793139

10.327378

10.187734

9.841404

9.732791

10.998736

8.824532

9.210227

9.92765

8.971242

9.105514

9.018627

9.083693

9.109715

8.620179

9.339793

9.138128

hep-th/0205007

Ioannis Bakas

I. Bakas and C. Sourdis

Notes on Periodic Solitons

11 pages, latex; proceedings of the 2001 RTN meeting in Corfu

Fortsch.Phys. 50 (2002) 815-824

10.1002/1521-3978(200209)50:8/9<815::AID-PROP815>3.0.CO;2-Z

null

hep-th

null

We consider static solutions of the sine-Gordon theory defined on a cylinder, which can be either periodic or quasi-periodic in space. They are described by the different modes of a simple pendulum moving in an inverted effective potential and correspond to its libration or rotation. We review the decomposition of the solutions into an oscillatory sum of alternating kinks and anti-kinks or into a monotonic train of kinks, respectively, using properties of elliptic functions. The two sectors are naturally related to each other by a modular transformation, whereas the underlying spectral curve of the model can be used to express the energy of the static configurations in terms of contour integrals \`a la Seiberg-Witten in either case. The stability properties are also examined by means of supersymmetric quantum mechanics, where we find that the unstable configurations are associated to singular superpotentials, thus allowing for negative modes in the spectrum of small fluctuations.

[ { "created": "Wed, 1 May 2002 03:19:43 GMT", "version": "v1" } ]

2015-06-26

[ [ "Bakas", "I.", "" ], [ "Sourdis", "C.", "" ] ]

We consider static solutions of the sine-Gordon theory defined on a cylinder, which can be either periodic or quasi-periodic in space. They are described by the different modes of a simple pendulum moving in an inverted effective potential and correspond to its libration or rotation. We review the decomposition of the solutions into an oscillatory sum of alternating kinks and anti-kinks or into a monotonic train of kinks, respectively, using properties of elliptic functions. The two sectors are naturally related to each other by a modular transformation, whereas the underlying spectral curve of the model can be used to express the energy of the static configurations in terms of contour integrals \`a la Seiberg-Witten in either case. The stability properties are also examined by means of supersymmetric quantum mechanics, where we find that the unstable configurations are associated to singular superpotentials, thus allowing for negative modes in the spectrum of small fluctuations.

10.873991

11.15378

11.432223

10.241526

10.322956

10.188793

10.373232

9.952476

10.007487

11.74761

10.212804

10.529457

10.816284

10.226704

10.240347

10.094981

10.105833

10.650134

10.177588

10.94257

10.109954

hep-th/9711063

Daniela

Daniela Bigatti, Leonard Susskind

A note on discrete light cone quantization

4 pages, LaTeX; two misprints and a reference corrected

Phys.Lett.B425:351-353,1998

10.1016/S0370-2693(98)00105-1

SU-ITP 97/47

hep-th

null

In this brief note we would like to discuss, in a simple model system, the conditions under which the discrete light cone quantization framework should be trusted as an approximation scheme, with regard, in particular, to the size and mass of the system. Specifically, we are going to discuss ``quark-antiquark'' bound states in 1+1 dim., for which a natural size is provided by analogy with a ``two points and a spring'' system, and show that the condition for obtaining a reliable estimate is the same as the one derived in a recent paper for black holes in matrix theory.

[ { "created": "Mon, 10 Nov 1997 21:57:15 GMT", "version": "v1" }, { "created": "Tue, 11 Nov 1997 23:33:53 GMT", "version": "v2" }, { "created": "Wed, 12 Nov 1997 21:51:04 GMT", "version": "v3" } ]

2009-10-07

[ [ "Bigatti", "Daniela", "" ], [ "Susskind", "Leonard", "" ] ]

In this brief note we would like to discuss, in a simple model system, the conditions under which the discrete light cone quantization framework should be trusted as an approximation scheme, with regard, in particular, to the size and mass of the system. Specifically, we are going to discuss ``quark-antiquark'' bound states in 1+1 dim., for which a natural size is provided by analogy with a ``two points and a spring'' system, and show that the condition for obtaining a reliable estimate is the same as the one derived in a recent paper for black holes in matrix theory.

14.784297

13.395285

13.206063

12.581387

13.804808

14.551278

13.148056

12.377474

12.514567

13.954115

13.258879

12.83634

12.912516

12.524253

12.893829

12.639688

12.978185

12.356816

12.936212

12.665579

12.74092

hep-th/0311177

Satabhisa Dasgupta

Satabhisa Dasgupta and Tathagata Dasgupta

Nonsinglet Sector of $c=1$ Matrix Model and 2D Black Hole

54 pages, 10 figures

null

RUNHETC-2003-30

hep-th

null

Extending our recent work (\arXiv{\tt hep-th/0310106}) we study the nonsinglet sector of $c=1$ matrix model by renormalization group analysis for a gauged matrix quantum mechanics on circle with an appropriate gauge breaking term to incorporate the effect of world-sheet vortices. The flow equations indicate BKT phase transition around the self-dual radius and the nontrivial fixed points of the flow exhibit black hole like phases for a range of temperatures beyond the self-dual point. One class of fixed point interpolate between $c=1$ for $R > 1$ and $c=0$ as $R \to 0$ via black hole phase that emerges after the phase transition. The other two classes of nontrivial fixed points also develop black hole like behavior beyond R=1. From a thermodynamic study of the free energy obtained from the Callan-Symanzik equations we show that all these unstable phases do have negative specific heat. The thermodynamic quantities indicate that the system does undergo a first order phase transition near the Hagedorn temperature, around which the new phase is formed, and exhibits one loop finite energy correction to the Hagedorn density of states. The flow equations also suggest a deformation of the target space geometry through a running of the compactification radius where the scale is given by the dilaton. Remarkably there is a regime where cyclic flow is observed.

[ { "created": "Thu, 20 Nov 2003 20:39:25 GMT", "version": "v1" } ]

2007-05-23

[ [ "Dasgupta", "Satabhisa", "" ], [ "Dasgupta", "Tathagata", "" ] ]

Extending our recent work (\arXiv{\tt hep-th/0310106}) we study the nonsinglet sector of $c=1$ matrix model by renormalization group analysis for a gauged matrix quantum mechanics on circle with an appropriate gauge breaking term to incorporate the effect of world-sheet vortices. The flow equations indicate BKT phase transition around the self-dual radius and the nontrivial fixed points of the flow exhibit black hole like phases for a range of temperatures beyond the self-dual point. One class of fixed point interpolate between $c=1$ for $R > 1$ and $c=0$ as $R \to 0$ via black hole phase that emerges after the phase transition. The other two classes of nontrivial fixed points also develop black hole like behavior beyond R=1. From a thermodynamic study of the free energy obtained from the Callan-Symanzik equations we show that all these unstable phases do have negative specific heat. The thermodynamic quantities indicate that the system does undergo a first order phase transition near the Hagedorn temperature, around which the new phase is formed, and exhibits one loop finite energy correction to the Hagedorn density of states. The flow equations also suggest a deformation of the target space geometry through a running of the compactification radius where the scale is given by the dilaton. Remarkably there is a regime where cyclic flow is observed.

12.549047

12.70621

14.418731

11.836448

13.293644

12.528115

13.588669

12.191211

12.288355

14.672967

11.940191

11.988373

12.598349

11.997068

11.819917

12.393346

12.191185

12.143919

11.972723

12.82471

12.09289

2204.06961

Antonio Amariti

Antonio Amariti, Simone Rota

Webs of 3d $\mathcal{N} = 2$ dualities with D-type superpotentials

34 pages, 1 figure

null

10.1007/JHEP01(2023)124

null

hep-th

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

We study 3d $\mathcal{N}=2$ dualities arising from the compactification of 4d $\mathcal{N}=1$ $Usp(2 n)$ SQCD with two antisymmetric rank-two tensors and $D_{k+2}$-type superpotential, with odd $k$. The analysis is carried out by using field theory methods and by checking the various steps on the three sphere partition function. Most of the results are based on a conjectural confining duality that we do not prove but that fits consistently with the web of dualities that we obtain. Along the analysis we recover dualities already claimed in the literature and we propose new ones. The final picture that emerges fits with the general scheme worked out for ordinary SQCD and for adjoint SQCD with $A_k$-type superpotentials.

[ { "created": "Thu, 14 Apr 2022 13:40:07 GMT", "version": "v1" } ]

2023-02-08

[ [ "Amariti", "Antonio", "" ], [ "Rota", "Simone", "" ] ]

We study 3d $\mathcal{N}=2$ dualities arising from the compactification of 4d $\mathcal{N}=1$ $Usp(2 n)$ SQCD with two antisymmetric rank-two tensors and $D_{k+2}$-type superpotential, with odd $k$. The analysis is carried out by using field theory methods and by checking the various steps on the three sphere partition function. Most of the results are based on a conjectural confining duality that we do not prove but that fits consistently with the web of dualities that we obtain. Along the analysis we recover dualities already claimed in the literature and we propose new ones. The final picture that emerges fits with the general scheme worked out for ordinary SQCD and for adjoint SQCD with $A_k$-type superpotentials.

9.704123

8.53341

10.709852

8.469105

8.623797

8.696218

8.708703

8.572762

8.2958

11.809266

8.581822

8.795352

9.713104

8.588624

8.63597

8.683212

8.848331

8.868891

8.909599

9.981616

8.820765

1911.06320

Yuho Sakatani

U-duality extension of Drinfel'd double

34 pages; v2: references added, expanded the discussion of the Yang-Baxter deformation; v3: a reference added, typos corrected, to appear in PTEP; v4: footnotes 5 and 8 added, a redundant condition in Eq.(6.20) removed

Prog Theor Exp Phys (2020)

10.1093/ptep/ptz172

null

hep-th math.DG math.SG

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

A family of algebras $\mathcal{E}_n$ that extends the Lie algebra of the Drinfel'd double is proposed. This allows us to systematically construct the generalized frame fields $E_A{}^I$ which realize the proposed algebra by means of the generalized Lie derivative, i.e., $\hat{\mathcal{L}}_{E_A}E_B{}^I = - \mathcal{F}_{AB}{}^C\,E_C{}^I$. By construction, the generalized frame fields include a twist by a Nambu-Poisson tensor. A possible application to the non-Abelian extension of U-duality and a generalization of the Yang-Baxter deformation are also discussed.

[ { "created": "Thu, 14 Nov 2019 18:59:48 GMT", "version": "v1" }, { "created": "Mon, 18 Nov 2019 17:18:08 GMT", "version": "v2" }, { "created": "Tue, 11 Feb 2020 15:27:58 GMT", "version": "v3" }, { "created": "Fri, 24 Apr 2020 16:00:00 GMT", "version": "v4" } ]

2020-04-27

[ [ "Sakatani", "Yuho", "" ] ]

A family of algebras $\mathcal{E}_n$ that extends the Lie algebra of the Drinfel'd double is proposed. This allows us to systematically construct the generalized frame fields $E_A{}^I$ which realize the proposed algebra by means of the generalized Lie derivative, i.e., $\hat{\mathcal{L}}_{E_A}E_B{}^I = - \mathcal{F}_{AB}{}^C\,E_C{}^I$. By construction, the generalized frame fields include a twist by a Nambu-Poisson tensor. A possible application to the non-Abelian extension of U-duality and a generalization of the Yang-Baxter deformation are also discussed.

7.255506

6.451657

7.460295

6.460905

6.735122

6.315403

6.209674

6.11704

6.017224

9.172043

6.150152

6.125132

6.673089

6.248346

6.065897

6.177089

6.346032

6.387065

6.012793

6.609671

6.096089

1808.06620

Henry Lin Mr.

Henry W. Lin

Cayley graphs and complexity geometry

16 pages, 3 figures

null

10.1007/JHEP02(2019)063

null

hep-th quant-ph

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

The basic idea of quantum complexity geometry is to endow the space of unitary matrices with a metric, engineered to make complex operators far from the origin, and simple operators near. By restricting our attention to a finite subgroup of the unitary group, we observe that this idea can be made rigorous: the complexity geometry becomes what is known as a Cayley graph. This connection allows us to translate results from the geometrical group theory literature into statements about complexity. For example, the notion of $\delta$-hyperbolicity makes precise the idea that complexity geometry is negatively curved. We report an exact (in the large N limit) computation of the average complexity as a function of time in a random circuit model.

[ { "created": "Mon, 20 Aug 2018 18:00:09 GMT", "version": "v1" } ]

2019-02-20

[ [ "Lin", "Henry W.", "" ] ]

The basic idea of quantum complexity geometry is to endow the space of unitary matrices with a metric, engineered to make complex operators far from the origin, and simple operators near. By restricting our attention to a finite subgroup of the unitary group, we observe that this idea can be made rigorous: the complexity geometry becomes what is known as a Cayley graph. This connection allows us to translate results from the geometrical group theory literature into statements about complexity. For example, the notion of $\delta$-hyperbolicity makes precise the idea that complexity geometry is negatively curved. We report an exact (in the large N limit) computation of the average complexity as a function of time in a random circuit model.

9.344251

9.929199

11.51156

9.292118

9.772923

9.106926

9.707582

9.738278

9.730469

10.55552

9.98983

9.190978

9.097989

9.113309

9.572553

9.374757

9.543933

9.380626

8.979204

8.95229

9.142924

hep-th/9606013

Nsc Kipt

A. A. Zheltukhin

Tension as a Perturbative Parameter in Non--Linear String Equations in Curved Space--Time

6 pages, LATEX. Submitted to Class.Quantum Grav

Class.Quant.Grav. 13 (1996) 2357-2360

10.1088/0264-9381/13/9/003

null

hep-th

null

A perturbation theory with respect to tension parameter $\gamma/\alpha^\prime$ for the non--linear equations of string, moving in curved space--time is considered. Obtained are linearized motion equations for the functions of the $n-$th degree of approximation ($n=0,1,2$)

[ { "created": "Tue, 4 Jun 1996 08:20:53 GMT", "version": "v1" } ]

2009-10-30

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

A perturbation theory with respect to tension parameter $\gamma/\alpha^\prime$ for the non--linear equations of string, moving in curved space--time is considered. Obtained are linearized motion equations for the functions of the $n-$th degree of approximation ($n=0,1,2$)

16.981836

16.161894

15.41643

14.772215

16.9846

14.516239

15.075071

16.146099

15.267994

14.144719

15.650074

14.049807

14.835428

13.848739

13.963223

14.163205

13.756288

14.702238

14.998016

14.855803

14.30581

hep-th/0304228

Rafael Montemayor

H. Casini, R. Montemayor and Luis F. Urrutia

Duality for symmetric second rank tensors. II. The linearized gravitational field

20 pages, no figures

Phys.Rev. D68 (2003) 065011

10.1103/PhysRevD.68.065011

null

hep-th

null

The construction of dual theories for linearized gravity in four dimensions is considered. Our approach is based on the parent Lagrangian method previously developed for the massive spin-two case, but now considered for the zero mass case. This leads to a dual theory described in terms of a rank two symmetric tensor, analogous to the usual gravitational field, and an auxiliary antisymmetric field. This theory has an enlarged gauge symmetry, but with an adequate partial gauge fixing it can be reduced to a gauge symmetry similar to the standard one of linearized gravitation. We present examples illustrating the general procedure and the physical interpretation of the dual fields. The zero mass case of the massive theory dual to the massive spin-two theory is also examined, but we show that it only contains a spin-zero excitation.

[ { "created": "Sat, 26 Apr 2003 12:27:28 GMT", "version": "v1" } ]

2009-11-10

[ [ "Casini", "H.", "" ], [ "Montemayor", "R.", "" ], [ "Urrutia", "Luis F.", "" ] ]

The construction of dual theories for linearized gravity in four dimensions is considered. Our approach is based on the parent Lagrangian method previously developed for the massive spin-two case, but now considered for the zero mass case. This leads to a dual theory described in terms of a rank two symmetric tensor, analogous to the usual gravitational field, and an auxiliary antisymmetric field. This theory has an enlarged gauge symmetry, but with an adequate partial gauge fixing it can be reduced to a gauge symmetry similar to the standard one of linearized gravitation. We present examples illustrating the general procedure and the physical interpretation of the dual fields. The zero mass case of the massive theory dual to the massive spin-two theory is also examined, but we show that it only contains a spin-zero excitation.

10.450423

10.167315

10.080931

9.556501

10.11518

9.853703

9.84342

9.168344

9.809165

10.768803

9.644206

9.843369

10.015268

9.620114

9.597682

9.816885

10.082017

9.765723

9.997957

9.93245

9.477607

hep-th/0205178

Tsuda

K.Shima, Y.Tanii and M.Tsuda

Linearizing N = 2 Nonlinear Supersymmetry

8 pages, Latex, some typos corrected some more discussions added

Phys.Lett. B546 (2002) 162-166

10.1016/S0370-2693(02)02670-9

SIT-LP-02/05, STUPP-02-166

hep-th

null

We investigate for the N = 2 supersymmetry (SUSY) a relation between a vector supermultiplet of the linear SUSY and the Volkov-Akulov model of the nonlinear SUSY. We express component fields of the vector supermultiplet in terms of Nambu-Goldstone fermion fields at the leading orders in a SUSY invariant way, and show the vector nature of the U(1) gauge field explicitly. A relation of the actions for the two models is also discussed briefly.

[ { "created": "Fri, 17 May 2002 05:18:36 GMT", "version": "v1" }, { "created": "Fri, 20 Sep 2002 02:12:11 GMT", "version": "v2" } ]

2010-04-05

[ [ "Shima", "K.", "" ], [ "Tanii", "Y.", "" ], [ "Tsuda", "M.", "" ] ]

We investigate for the N = 2 supersymmetry (SUSY) a relation between a vector supermultiplet of the linear SUSY and the Volkov-Akulov model of the nonlinear SUSY. We express component fields of the vector supermultiplet in terms of Nambu-Goldstone fermion fields at the leading orders in a SUSY invariant way, and show the vector nature of the U(1) gauge field explicitly. A relation of the actions for the two models is also discussed briefly.

8.447498

7.566373

8.673291

6.689399

7.848261

6.990161

8.055042

6.944962

7.099885

9.891467

7.65853

7.829093

8.303177

7.8552

8.173988

8.128754

7.654437

7.9688

7.855579

8.433786

7.662458

1908.04873

A. Yu. Petrov

A. J. G. Carvalho, D. R. Granado, J. R. Nascimento, A. Yu. Petrov

Non-Abelian aether-like term in four dimensions

13 pages, minor corrections

Eur. Phys. J. C79, 817 (2019)

10.1140/epjc/s10052-019-7342-y

null

hep-th

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

The non-Abelian aether-like Lorentz-breaking term, involving triple and quartic self-coupling vertices, is generated from the non-Abelian generalization of the Lorentz-breaking extended QED including only a minimal spinor-vector interaction. This term is shown explicitly to be finite and non-ambiguous.

[ { "created": "Tue, 13 Aug 2019 22:02:40 GMT", "version": "v1" }, { "created": "Tue, 27 Aug 2019 12:01:46 GMT", "version": "v2" } ]

2019-10-08

[ [ "Carvalho", "A. J. G.", "" ], [ "Granado", "D. R.", "" ], [ "Nascimento", "J. R.", "" ], [ "Petrov", "A. Yu.", "" ] ]

The non-Abelian aether-like Lorentz-breaking term, involving triple and quartic self-coupling vertices, is generated from the non-Abelian generalization of the Lorentz-breaking extended QED including only a minimal spinor-vector interaction. This term is shown explicitly to be finite and non-ambiguous.

17.151209

12.676098

14.670073

13.370321

15.861727

16.427647

13.397323

14.762731

12.956043

19.657204

12.457385

15.63286

15.265244

14.800259

15.550639

14.343228

14.619704

14.967756

14.918983

15.627435

13.871324

2209.08121

Francisco A. Brito

Jose L. Paulino, Francisco A. Brito

The physics of intersecting thick to thin branes

15 pages, 9 figures

null

10.1016/j.physletb.2023.137771

null

hep-th cond-mat.str-el

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

We model four-dimensional junctions made out of intersections of co-dimension one brane living in higher-dimensional spacetimes through domain walls. We take a new look at the problem of localizing fermion states on brane junctions as a result of intersecting one thick brane to others sufficiently thin. All the branes intersect orthogonally to form a four-dimensional junction embedded in a higher-dimensional bulk. We discuss the effects of the Yukawa coupling and the proton decay on the restriction of the parameters that control the junction stability and the brane thickness which also define the bulk cosmological constant.

[ { "created": "Fri, 16 Sep 2022 18:21:49 GMT", "version": "v1" } ]

2023-03-22

[ [ "Paulino", "Jose L.", "" ], [ "Brito", "Francisco A.", "" ] ]

We model four-dimensional junctions made out of intersections of co-dimension one brane living in higher-dimensional spacetimes through domain walls. We take a new look at the problem of localizing fermion states on brane junctions as a result of intersecting one thick brane to others sufficiently thin. All the branes intersect orthogonally to form a four-dimensional junction embedded in a higher-dimensional bulk. We discuss the effects of the Yukawa coupling and the proton decay on the restriction of the parameters that control the junction stability and the brane thickness which also define the bulk cosmological constant.

17.257784

16.247984

16.668539

15.490729

16.388699

14.432274

17.3708

16.161388

15.77133

17.088612

16.384022

15.853882

16.323357

16.225473

16.010555

15.557441

16.142439

15.586733

16.198818

16.956285

15.992529

1903.08613

Alexander Migdal

Universal Area Law in Turbulence

10 pages, 0 figures, inserted missing factor od 2 in recurrent equation for vorticity correlations

null

hep-th nlin.CD physics.flu-dyn

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

We re-visit the Area Law in Turbulence discovered many years ago \cite{M93} and verified recently in numerical experiments\cite{S19}. We derive this law in a simpler way, at the same time outlining the limits of its applicability. Using the PDF for velocity circulation as a functional of the loop in coordinate space, we obtain explicit formulas for vorticity correlations in presence of velocity circulation. These functions are related to the shape of the scaling function of the PDF as well as the shape of the minimal surface inside the loop. The background of velocity circulation does not eliminate turbulence but makes observable quantities in inertial range \textbf{calculable}. The scaling dimension of velocity circulation as a function of large area remains unknown. Numerical experiments \cite{S19} suggest transition for log-log derivative of circulation moments $\left<\Gamma^p\right>$ by the loop area from Kolmogorov index $\frac{2p}{3}$ at $p <4$ down to approximately $0.58 p$ for $4 \leq p \leq 10$ within available Reynolds numbers. We argue that Area Law applies to these moments only in the limit $p\rightarrow \infty$ when they are dominated by the tails of the PDF. So, these numerical experiments suggest that the scaling index in Area law is less then $\frac{2}{3}$.

[ { "created": "Wed, 20 Mar 2019 16:54:53 GMT", "version": "v1" }, { "created": "Mon, 25 Mar 2019 15:56:26 GMT", "version": "v2" }, { "created": "Mon, 1 Apr 2019 06:02:02 GMT", "version": "v3" } ]

2019-04-02

[ [ "Migdal", "Alexander", "" ] ]

We re-visit the Area Law in Turbulence discovered many years ago \cite{M93} and verified recently in numerical experiments\cite{S19}. We derive this law in a simpler way, at the same time outlining the limits of its applicability. Using the PDF for velocity circulation as a functional of the loop in coordinate space, we obtain explicit formulas for vorticity correlations in presence of velocity circulation. These functions are related to the shape of the scaling function of the PDF as well as the shape of the minimal surface inside the loop. The background of velocity circulation does not eliminate turbulence but makes observable quantities in inertial range \textbf{calculable}. The scaling dimension of velocity circulation as a function of large area remains unknown. Numerical experiments \cite{S19} suggest transition for log-log derivative of circulation moments $\left<\Gamma^p\right>$ by the loop area from Kolmogorov index $\frac{2p}{3}$ at $p <4$ down to approximately $0.58 p$ for $4 \leq p \leq 10$ within available Reynolds numbers. We argue that Area Law applies to these moments only in the limit $p\rightarrow \infty$ when they are dominated by the tails of the PDF. So, these numerical experiments suggest that the scaling index in Area law is less then $\frac{2}{3}$.

12.330606

12.000595

12.783114

11.671782

12.240732

13.095682

12.143575

12.001034

11.638355

14.527103

11.721957

12.184708

12.365973

11.863907

11.731315

12.044006

12.120111

11.974404

11.804602

12.545286

11.835959

hep-th/0310044

Ryang Shijong

Shijong Ryang

String Propagators in Time-Dependent and Time-Independent Homogeneous Plane Waves

15 pages, LaTeX, no figures, minor corrections added

JHEP 0311 (2003) 007

10.1088/1126-6708/2003/11/007

null

hep-th

null

For a special time-dependent homogeneous plane wave background that includes a null singularity we construct the closed string propagators. We carry out the summation over the oscillator modes and extract the worldsheet spacetime structures of string propagators specially near the singularity. We construct the closed string propagators in a time-independent smooth homogeneous plane wave background characterized by the constant dilaton, the constant null NS-NS field strength and the constant magnetic field. By expressing them in terms of the hypergeometric function we reveal the background field dependences and the worldsheet spacetime structures of string propagators. The conformal invariance condition for the constant dilaton plays a role to simplify the expressions of string propagators.

[ { "created": "Mon, 6 Oct 2003 05:16:29 GMT", "version": "v1" }, { "created": "Wed, 5 Nov 2003 02:13:25 GMT", "version": "v2" } ]

2009-11-10

[ [ "Ryang", "Shijong", "" ] ]

For a special time-dependent homogeneous plane wave background that includes a null singularity we construct the closed string propagators. We carry out the summation over the oscillator modes and extract the worldsheet spacetime structures of string propagators specially near the singularity. We construct the closed string propagators in a time-independent smooth homogeneous plane wave background characterized by the constant dilaton, the constant null NS-NS field strength and the constant magnetic field. By expressing them in terms of the hypergeometric function we reveal the background field dependences and the worldsheet spacetime structures of string propagators. The conformal invariance condition for the constant dilaton plays a role to simplify the expressions of string propagators.

12.084067

10.709193

11.578284

9.881351

10.835066

9.99836

10.943876

10.306762

10.83117

12.242002

9.617719

10.135108

11.318737

10.105679

9.978116

10.257442

10.167334

10.178332

10.016448

10.720413

10.140375

1410.0048

Vladimir O. Soloviev

Bigravity in tetrad Hamiltonian formalism and matter couplings

25 pages, 1 table

null

hep-th

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

The tetrad approach is used to resolve the matrix square root appearing in the dRGT potential. Constraints and their algebra are derived for the minimal case. It is shown that the number of gravitational degrees of freedom corresponds to one massless and one massive gravitational fields when two sorts of matter separately interact with two metric tensors. The Boulware-Deser ghost is then excluded by two second class constraints. In other case when the matter couples to a linear combination of two tetrads this ghost re-appears.

[ { "created": "Tue, 30 Sep 2014 21:04:15 GMT", "version": "v1" } ]

2014-10-02

[ [ "Soloviev", "Vladimir O.", "" ] ]

The tetrad approach is used to resolve the matrix square root appearing in the dRGT potential. Constraints and their algebra are derived for the minimal case. It is shown that the number of gravitational degrees of freedom corresponds to one massless and one massive gravitational fields when two sorts of matter separately interact with two metric tensors. The Boulware-Deser ghost is then excluded by two second class constraints. In other case when the matter couples to a linear combination of two tetrads this ghost re-appears.

17.146467

14.275156

12.999696

13.2891

13.575736

14.111773

13.71668

13.054682

12.433328

14.263331

13.584334

12.807046

13.755178

12.614068

12.957001

12.884995

12.620762

12.184074

12.796866

13.258247

12.763699

0907.2655

El Hassan Saidi

Tetrahedron in F-theory Compactification

27 pages, 9 figures

null

Lab/UFR-HEP 0901, GNPHE/0901

hep-th

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

Complex tetrahedral surface $\mathcal{T}$ is a non planar projective surface that is generated by four intersecting complex projective planes $CP^{2}$. In this paper, we study the family $\{\mathcal{T}_{m}\} $ of blow ups of $\mathcal{T}$ and exhibit the link of these $\mathcal{T}_{m}$s with the set of del Pezzo surfaces $dP_{n}$ obtained by blowing up n isolated points in the $CP^{2}$. The $\mathcal{T}_{m}$s are toric surfaces exhibiting a $U(1) \times U(1) $ symmetry that may be used to engineer gauge symmetry enhancements in the Beasley-Heckman-Vafa theory. The blown ups of the tetrahedron have toric graphs with faces, edges and vertices where may localize respectively fields in adjoint representations, chiral matter and Yukawa tri-fields couplings needed for the engineering of F- theory GUT models building.

[ { "created": "Wed, 15 Jul 2009 17:03:29 GMT", "version": "v1" } ]

2009-07-16

[ [ "Saidi", "El Hassan", "" ] ]

Complex tetrahedral surface $\mathcal{T}$ is a non planar projective surface that is generated by four intersecting complex projective planes $CP^{2}$. In this paper, we study the family $\{\mathcal{T}_{m}\} $ of blow ups of $\mathcal{T}$ and exhibit the link of these $\mathcal{T}_{m}$s with the set of del Pezzo surfaces $dP_{n}$ obtained by blowing up n isolated points in the $CP^{2}$. The $\mathcal{T}_{m}$s are toric surfaces exhibiting a $U(1) \times U(1) $ symmetry that may be used to engineer gauge symmetry enhancements in the Beasley-Heckman-Vafa theory. The blown ups of the tetrahedron have toric graphs with faces, edges and vertices where may localize respectively fields in adjoint representations, chiral matter and Yukawa tri-fields couplings needed for the engineering of F- theory GUT models building.

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