LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

2110.10723

Victoria Martin

Cynthia Keeler, Victoria Martin and Alankrita Priya

Hidden Conformal Symmetries from Killing Towers with an Application to Large-D/CFT

39 pages; V2

SciPost Phys. 12, 170 (2022)

10.21468/SciPostPhys.12.5.170

null

hep-th

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

We generalize the notion of hidden conformal symmetry in Kerr/CFT to Kerr-(A)dS black holes in arbitrary dimensions. We build the SL(2, R) generators directly from the Killing tower, whose Killing tensors and Killing vectors enforce the separability of the equations of motion. Our construction amounts to an explicit relationship between hidden conformal symmetries and Killing tensors: we use the Killing tower to build a novel tensor equation connecting the SL(2,R) Casimir with the radial Klein-Gordon operator. For asymptotically flat black holes in four and five dimensions we recover previously known results that were obtained using the "near-region" limit and the monodromy method. We then perform a monodromy evaluation of the Klein-Gordon scalar wave equation for all Kerr-(A)dS black holes, finding explicit forms for the zero mode symmetry generators. We also extend this analysis to the large-dimensional Schwarzschild black hole as a step towards buliding a Large-D/CFT correspondence.

[ { "created": "Wed, 20 Oct 2021 18:45:54 GMT", "version": "v1" }, { "created": "Wed, 30 Mar 2022 16:52:37 GMT", "version": "v2" } ]

2022-05-25

[ [ "Keeler", "Cynthia", "" ], [ "Martin", "Victoria", "" ], [ "Priya", "Alankrita", "" ] ]

We generalize the notion of hidden conformal symmetry in Kerr/CFT to Kerr-(A)dS black holes in arbitrary dimensions. We build the SL(2, R) generators directly from the Killing tower, whose Killing tensors and Killing vectors enforce the separability of the equations of motion. Our construction amounts to an explicit relationship between hidden conformal symmetries and Killing tensors: we use the Killing tower to build a novel tensor equation connecting the SL(2,R) Casimir with the radial Klein-Gordon operator. For asymptotically flat black holes in four and five dimensions we recover previously known results that were obtained using the "near-region" limit and the monodromy method. We then perform a monodromy evaluation of the Klein-Gordon scalar wave equation for all Kerr-(A)dS black holes, finding explicit forms for the zero mode symmetry generators. We also extend this analysis to the large-dimensional Schwarzschild black hole as a step towards buliding a Large-D/CFT correspondence.

9.621046

9.050462

9.564212

9.481327

10.083556

10.193205

9.875843

9.801127

9.892962

11.293189

9.883042

8.870998

9.568542

9.046317

9.415794

9.606855

9.118901

8.949748

9.360798

9.421085

9.324748

hep-th/9606158

null

S.A.Apikyan

Liouville Field Theory on Hyperelliptic surface

8 pages, LaTeX file, no figures

Phys.Lett. B388 (1996) 557-560

10.1016/S0370-2693(96)01177-X

YerPhI-1474(11)-96

hep-th

null

Liouville field theory on hyperelliptic surface is considered. The partition function of the Liouville field theory on the hyperelliptic surface are expressed as a correlation function of the Liouville vertex operators on a sphere and the twist fields.

[ { "created": "Tue, 25 Jun 1996 11:06:44 GMT", "version": "v1" } ]

2009-10-30

[ [ "Apikyan", "S. A.", "" ] ]

Liouville field theory on hyperelliptic surface is considered. The partition function of the Liouville field theory on the hyperelliptic surface are expressed as a correlation function of the Liouville vertex operators on a sphere and the twist fields.

7.877774

6.305983

7.839083

5.842047

7.453345

6.237324

7.022338

6.401032

6.841418

8.454884

5.781213

6.256617

6.211211

6.0935

6.118348

6.105375

6.303349

6.195866

6.332369

6.631648

6.217479

1612.05233

Ismail Zahed

Yizhuang Liu, Maciej A. Nowak and Ismail Zahed

Disorder in the Sachdev-Yee-Kitaev Model

7 pages, 1 figure

null

10.1016/j.physletb.2017.08.054

null

hep-th hep-ph

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

We give qualitative arguments for the mesoscopic nature of the Sachdev-Yee-Kitaev (SYK) model in the holographic regime with $q^2/N\ll 1$ with $N$ Majorana particles coupled by antisymmetric and random interactions of range $q$. Using a stochastic deformation of the SYK model, we show that its characteristic determinant obeys a viscid Burgers equation with a small spectral viscosity in the opposite regime with $q/N=1/2$, in leading order. The stochastic evolution of the SYK model can be mapped onto that of random matrix theory, with universal Airy oscillations at the edges. A spectral hydrodynamical estimate for the relaxation of the collective modes is made.

[ { "created": "Thu, 15 Dec 2016 20:40:38 GMT", "version": "v1" }, { "created": "Tue, 27 Dec 2016 17:10:08 GMT", "version": "v2" } ]

2017-10-11

[ [ "Liu", "Yizhuang", "" ], [ "Nowak", "Maciej A.", "" ], [ "Zahed", "Ismail", "" ] ]

We give qualitative arguments for the mesoscopic nature of the Sachdev-Yee-Kitaev (SYK) model in the holographic regime with $q^2/N\ll 1$ with $N$ Majorana particles coupled by antisymmetric and random interactions of range $q$. Using a stochastic deformation of the SYK model, we show that its characteristic determinant obeys a viscid Burgers equation with a small spectral viscosity in the opposite regime with $q/N=1/2$, in leading order. The stochastic evolution of the SYK model can be mapped onto that of random matrix theory, with universal Airy oscillations at the edges. A spectral hydrodynamical estimate for the relaxation of the collective modes is made.

15.546835

16.656054

15.194053

15.287698

16.865549

17.296476

18.469696

16.720036

16.109716

16.705441

16.115728

15.299624

16.043732

15.36944

15.961671

16.173738

15.513626

15.821819

15.209702

15.276235

15.540044

2205.00818

Minxin Huang

Min-xin Huang

Modular Anomaly Equation for Schur Index of $\mathcal{N}=4$ Super-Yang-Mills

14 pages. v2: journal version, some improvements, references added

null

10.1007/JHEP08(2022)049

USTC-ICTS/PCFT-22-14

hep-th

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

We propose a novel modular anomaly equation for the unflavored Schur index in the $\mathcal{N}=4$ $SU(N)$ super-Yang-Mills theory. The vanishing conditions overdetermine the modular ambiguity ansatz from the equation, thus together they are sufficient to recursively compute the exact Schur indices for all $SU(N)$ gauge groups. Using the representations as MacMahon's generalized sum-of-divisors functions and Jacobi forms, we then prove our proposal as well as elucidate a general formula conjectured by Pan and Peelaers.

[ { "created": "Mon, 2 May 2022 11:45:47 GMT", "version": "v1" }, { "created": "Sat, 30 Jul 2022 01:53:55 GMT", "version": "v2" } ]

2022-08-24

[ [ "Huang", "Min-xin", "" ] ]

We propose a novel modular anomaly equation for the unflavored Schur index in the $\mathcal{N}=4$ $SU(N)$ super-Yang-Mills theory. The vanishing conditions overdetermine the modular ambiguity ansatz from the equation, thus together they are sufficient to recursively compute the exact Schur indices for all $SU(N)$ gauge groups. Using the representations as MacMahon's generalized sum-of-divisors functions and Jacobi forms, we then prove our proposal as well as elucidate a general formula conjectured by Pan and Peelaers.

17.215509

12.415595

19.660124

13.777609

12.881263

12.454921

12.351123

13.128135

12.356513

25.235373

14.769602

14.70823

17.991892

14.57122

13.859047

14.665443

14.998521

14.922984

14.987343

17.444077

15.26995

hep-th/0210053

Zygmunt Lalak

Zygmunt Lalak and Radoslaw Matyszkiewicz

On Scherk-Schwarz mechanism in gauged five-dimensional supergravity and on its relation to bigravity

23 pages, Latex, version published in Nucl. Phys. B

Nucl.Phys. B649 (2003) 389-411

10.1016/S0550-3213(02)01035-0

IFT-2002-35, AEI-2002-059

hep-th

null

We demonstrate the relation between the Scherk-Schwarz mechanism and flipped gauged brane-bulk supergravities in five dimensions. We discuss the form of supersymmetry violating Scherk-Schwarz terms in pure supergravity and in supergravity coupled to matter. We point out that brane-induced supersymmetry breakdown in 5d Horava-Witten model is not of the Scherk-Schwarz type. We discuss in detail flipped super-bigravity, which is the locally supersymmetric extension of the (++) bigravity.

[ { "created": "Sun, 6 Oct 2002 19:40:05 GMT", "version": "v1" }, { "created": "Fri, 29 Nov 2002 12:46:04 GMT", "version": "v2" } ]

2009-11-07

[ [ "Lalak", "Zygmunt", "" ], [ "Matyszkiewicz", "Radoslaw", "" ] ]

We demonstrate the relation between the Scherk-Schwarz mechanism and flipped gauged brane-bulk supergravities in five dimensions. We discuss the form of supersymmetry violating Scherk-Schwarz terms in pure supergravity and in supergravity coupled to matter. We point out that brane-induced supersymmetry breakdown in 5d Horava-Witten model is not of the Scherk-Schwarz type. We discuss in detail flipped super-bigravity, which is the locally supersymmetric extension of the (++) bigravity.

10.292885

8.306288

9.819165

9.054282

9.491555

8.385302

9.060604

8.330359

9.133878

11.524352

9.251982

9.485069

9.546864

8.837935

9.404616

9.086783

9.158532

9.354727

9.523505

9.377483

8.97079

hep-th/0003219

Sunil Mukhi

Sunil Mukhi and Nemani V. Suryanarayana (Tata Institute, Mumbai)

A Stable Non-BPS Configuration From Intersecting Branes and Antibranes

14 pages, harvmac (b), 7 eps figures included; v3: typos corrected, final version published in JHEP

JHEP 0006:001,2000

10.1088/1126-6708/2000/06/001

TIFR/TH/00-12

hep-th

null

We describe a tachyon-free stable non-BPS brane configuration in type IIA string theory. The configuration is an elliptic model involving rotated NS5 branes, D4 branes and anti-D4 branes, and is dual to a fractional brane-antibrane pair placed at a conifold singularity. This configuration exhibits an interesting behaviour as we vary the radius of the compact direction. Below a critical radius the D4 and anti-D4 branes are aligned, but as the radius increases above the critical value the potential between them develops a minimum away from zero. This signals a phase transition to a configuration with finitely separated branes.

[ { "created": "Fri, 24 Mar 2000 04:14:39 GMT", "version": "v1" }, { "created": "Tue, 28 Mar 2000 23:05:42 GMT", "version": "v2" }, { "created": "Thu, 29 Jun 2000 05:30:33 GMT", "version": "v3" } ]

2010-02-03

[ [ "Mukhi", "Sunil", "", "Tata Institute, Mumbai" ], [ "Suryanarayana", "Nemani V.", "", "Tata Institute, Mumbai" ] ]

We describe a tachyon-free stable non-BPS brane configuration in type IIA string theory. The configuration is an elliptic model involving rotated NS5 branes, D4 branes and anti-D4 branes, and is dual to a fractional brane-antibrane pair placed at a conifold singularity. This configuration exhibits an interesting behaviour as we vary the radius of the compact direction. Below a critical radius the D4 and anti-D4 branes are aligned, but as the radius increases above the critical value the potential between them develops a minimum away from zero. This signals a phase transition to a configuration with finitely separated branes.

6.801882

6.989146

7.757847

6.10428

6.490798

6.974924

6.810322

6.279996

6.674119

8.333594

6.293082

6.608478

7.34538

6.441077

6.471063

6.754732

6.709318

6.530058

6.614362

7.030538

6.334172

hep-th/0004204

Randjbar Daemi Seif

Seif Randjbar-Daemi

Aspects of Gauge Theory - Gravity Correspondence

LaTeX, 20 pages, 5 eps-figures

null

hep-th

null

A brief review of aspects of gravity gauge theory correspondance inspired by string theory is presented.

[ { "created": "Fri, 28 Apr 2000 15:10:21 GMT", "version": "v1" } ]

2007-05-23

[ [ "Randjbar-Daemi", "Seif", "" ] ]

A brief review of aspects of gravity gauge theory correspondance inspired by string theory is presented.

57.966736

14.599999

29.199163

22.692556

20.523895

22.693638

24.902039

20.482807

22.410498

35.96471

17.917822

19.480677

34.782661

27.50197

20.496031

24.853348

21.255453

22.79207

21.348541

32.256954

21.661299

1703.09293

Azizollah Azizi

Azizollah Azizi and Soudabe Nasirimoghadam

Behavior of light polarization in photon-scalar interaction

14 pages

International Journal of Modern Physics A, Vol. 32, No. 2 (2017) 1750177 (12 pages)

10.1142/S0217751X17501779

null

hep-th gr-qc

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

Quantum theories of gravity help us to improve our insight into the gravitational interactions. Motivated by the interesting effect of gravity on the photon trajectory, we treat a quantum recipe concluding a classical interaction of light and a massive object such as the sun. We use the linear quantum gravity to compute the classical potential of a photon interacting with a massive scalar. The leading terms have a traditional $1/r$ subordinate and demonstrate a polarization-dependent behavior. This result challenges the equivalence principle; attractive and/or repulsive interactions are admissible.

[ { "created": "Mon, 27 Mar 2017 20:12:14 GMT", "version": "v1" }, { "created": "Sat, 20 May 2017 05:36:00 GMT", "version": "v2" }, { "created": "Thu, 26 Oct 2017 22:20:27 GMT", "version": "v3" } ]

2017-10-30

[ [ "Azizi", "Azizollah", "" ], [ "Nasirimoghadam", "Soudabe", "" ] ]

Quantum theories of gravity help us to improve our insight into the gravitational interactions. Motivated by the interesting effect of gravity on the photon trajectory, we treat a quantum recipe concluding a classical interaction of light and a massive object such as the sun. We use the linear quantum gravity to compute the classical potential of a photon interacting with a massive scalar. The leading terms have a traditional $1/r$ subordinate and demonstrate a polarization-dependent behavior. This result challenges the equivalence principle; attractive and/or repulsive interactions are admissible.

33.10627

31.769314

30.833286

28.192764

31.917032

36.354336

34.477592

27.48806

30.934458

32.36478

30.749832

30.393866

30.658495

31.135607

30.870964

32.497093

31.779617

29.853004

31.526817

30.990244

30.978477

1010.5188

Robert Richter

Pascal Anastasopoulos, George K. Leontaris, Robert Richter and A.N. Schellekens

SU(5) D-brane realizations, Yukawa couplings and proton stability

34 pages v2 minor corrections

JHEP 1012:011,2010

10.1007/JHEP12(2010)011

null

hep-th

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

We discuss SU(5) Grand Unified Theories in the context of orientifold compactifications. Specifically, we investigate two and three D-brane stack realizations of the Georgi-Glashow and the flipped SU(5) model and analyze them with respect to their Yukawa couplings. As pointed out in arXiv:0909.0271 the most economical Georgi-Glashow realization based on two stacks generically suffers from a disastrous large proton decay rate. We show that allowing for an additional U(1) D-brane stack this as well as other phenomenological problems can be resolved. We exemplify with globally consistent Georgi-Glashow models based on RCFT that these D-brane quivers can be indeed embedded in a global setting. These globally consistent realizations admit rigid O(1) instantons inducing the perturbatively missing coupling 10105^H. Finally we show that flipped SU(5) D-brane realizations even with multiple U(1) D-brane stacks are plagued by severe phenomenological drawbacks which generically cannot be overcome.

[ { "created": "Mon, 25 Oct 2010 17:03:28 GMT", "version": "v1" }, { "created": "Thu, 24 Feb 2011 14:41:35 GMT", "version": "v2" } ]

2011-02-25

[ [ "Anastasopoulos", "Pascal", "" ], [ "Leontaris", "George K.", "" ], [ "Richter", "Robert", "" ], [ "Schellekens", "A. N.", "" ] ]

We discuss SU(5) Grand Unified Theories in the context of orientifold compactifications. Specifically, we investigate two and three D-brane stack realizations of the Georgi-Glashow and the flipped SU(5) model and analyze them with respect to their Yukawa couplings. As pointed out in arXiv:0909.0271 the most economical Georgi-Glashow realization based on two stacks generically suffers from a disastrous large proton decay rate. We show that allowing for an additional U(1) D-brane stack this as well as other phenomenological problems can be resolved. We exemplify with globally consistent Georgi-Glashow models based on RCFT that these D-brane quivers can be indeed embedded in a global setting. These globally consistent realizations admit rigid O(1) instantons inducing the perturbatively missing coupling 10105^H. Finally we show that flipped SU(5) D-brane realizations even with multiple U(1) D-brane stacks are plagued by severe phenomenological drawbacks which generically cannot be overcome.

10.690141

11.045397

11.684672

11.257964

11.617981

12.477353

11.232508

12.771303

10.710894

13.853731

10.79314

10.842648

10.853301

10.60743

10.451931

10.720418

10.737562

10.693933

10.511314

11.01042

10.35295

hep-th/9411241

Yao-Zhong Zhang

Gustav W. Delius, Mark D. Gould, Jon R. Links and Yao-Zhong Zhang

Solutions of the Yang-Baxter Equation with Extra Non-Additive Parameters II: $U_q(gl(m|n))$}

10 pages, LaTex file (some errors in the Casimirs corrected)

J.Phys. A28 (1995) 6203-6210

10.1088/0305-4470/28/21/023

King's College London and University of Queensland preprint, KCL-TH-94-20, UQMATH-94-10

hep-th math.QA q-alg

null

The type-I quantum superalgebras are known to admit non-trivial one-parameter families of inequivalent finite dimensional irreps, even for generic $q$. We apply the recently developed technique to construct new solutions to the quantum Yang-Baxter equation associated with the one-parameter family of irreps of $U_q(gl(m|n))$, thus obtaining R-matrices which depend not only on a spectral parameter but in addition on further continuous parameters. These extra parameters enter the Yang-Baxter equation in a similar way to the spectral parameter but in a non-additive form.

[ { "created": "Thu, 1 Dec 1994 14:52:49 GMT", "version": "v1" }, { "created": "Wed, 4 Jan 1995 20:29:39 GMT", "version": "v2" } ]

2009-10-28

[ [ "Delius", "Gustav W.", "" ], [ "Gould", "Mark D.", "" ], [ "Links", "Jon R.", "" ], [ "Zhang", "Yao-Zhong", "" ] ]

The type-I quantum superalgebras are known to admit non-trivial one-parameter families of inequivalent finite dimensional irreps, even for generic $q$. We apply the recently developed technique to construct new solutions to the quantum Yang-Baxter equation associated with the one-parameter family of irreps of $U_q(gl(m|n))$, thus obtaining R-matrices which depend not only on a spectral parameter but in addition on further continuous parameters. These extra parameters enter the Yang-Baxter equation in a similar way to the spectral parameter but in a non-additive form.

8.44482

9.360351

9.311319

8.434605

9.200084

9.161943

9.787814

8.468976

7.950202

9.925393

8.337493

8.108573

8.22471

7.74084

8.083562

8.14269

8.132688

7.894467

8.051617

8.661231

7.682771

2002.07652

Dario Benedetti

Dario Benedetti, Razvan Gurau, Kenta Suzuki

Conformal Symmetry and Composite Operators in the $O(N)^3$ Tensor Field Theory

44 pages, 17 figures; v2: Significant changes, one of the relevant results in version 1 has been amended

JHEP 06 (2020) 113

10.1007/JHEP06(2020)113

null

hep-th

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

We continue the study of the bosonic $O(N)^3$ model with quartic interactions and long-range propagator. The symmetry group allows for three distinct invariant $\phi^4$ composite operators, known as tetrahedron, pillow and double-trace. As shown in arXiv:1903.03578 and arXiv:1909.07767, the tetrahedron operator is exactly marginal in the large-$N$ limit and for a purely imaginary tetrahedron coupling a line of real infrared fixed points (parametrized by the absolute value of the tetrahedron coupling) is found for the other two couplings. These fixed points have real critical exponents and a real spectrum of bilinear operators, satisfying unitarity constraints. This raises the question whether at large-$N$ the model is unitary, despite the tetrahedron coupling being imaginary. In this paper, we first rederive the above results by a different regularization and renormalization scheme. We then discuss the operator mixing for composite operators and we give a perturbative proof of conformal invariance of the model at the infrared fixed points by adapting a similar proof from the long-range Ising model. At last, we identify the scaling operators at the fixed point and compute the two- and three-point functions of $\phi^4$ and $\phi^2$ composite operators. The correlations have the expected conformal behavior and the OPE coefficients are all real, reinforcing the claim that the large-$N$ CFT is unitary.

[ { "created": "Tue, 18 Feb 2020 15:43:20 GMT", "version": "v1" }, { "created": "Wed, 25 Mar 2020 10:03:20 GMT", "version": "v2" } ]

2020-06-23

[ [ "Benedetti", "Dario", "" ], [ "Gurau", "Razvan", "" ], [ "Suzuki", "Kenta", "" ] ]

We continue the study of the bosonic $O(N)^3$ model with quartic interactions and long-range propagator. The symmetry group allows for three distinct invariant $\phi^4$ composite operators, known as tetrahedron, pillow and double-trace. As shown in arXiv:1903.03578 and arXiv:1909.07767, the tetrahedron operator is exactly marginal in the large-$N$ limit and for a purely imaginary tetrahedron coupling a line of real infrared fixed points (parametrized by the absolute value of the tetrahedron coupling) is found for the other two couplings. These fixed points have real critical exponents and a real spectrum of bilinear operators, satisfying unitarity constraints. This raises the question whether at large-$N$ the model is unitary, despite the tetrahedron coupling being imaginary. In this paper, we first rederive the above results by a different regularization and renormalization scheme. We then discuss the operator mixing for composite operators and we give a perturbative proof of conformal invariance of the model at the infrared fixed points by adapting a similar proof from the long-range Ising model. At last, we identify the scaling operators at the fixed point and compute the two- and three-point functions of $\phi^4$ and $\phi^2$ composite operators. The correlations have the expected conformal behavior and the OPE coefficients are all real, reinforcing the claim that the large-$N$ CFT is unitary.

7.632973

7.090572

8.737043

7.066369

7.299793

7.153147

7.273471

6.873423

7.367463

8.695599

7.117815

7.458831

7.813074

7.38562

7.270005

7.489959

7.21826

7.307862

7.426527

7.535881

7.254176

1202.5292

Bartomeu Fiol

Bartomeu Fiol, Blai Garolera, Aitor Lewkowycz

Exact results for static and radiative fields of a quark in N=4 super Yang-Mills

14 pages. This submission supersedes our previous preprint arXiv:1112.2345. v2: numerical factors fixed, minor clarifications, added references

null

10.1007/JHEP05(2012)093

null

hep-th

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

In this work (which supersedes our previous preprint arXiv:1112.2345) we determine the expectation value of the N=4$ SU(N) SYM Lagrangian density operator in the presence of an infinitely heavy static particle in the symmetric representation of SU(N), by means of a D3-brane probe computation. The result that we obtain coincides with two previous computations of different observables, up to kinematical factors. We argue that these agreements go beyond the D-brane probe approximation, which leads us to propose an exact formula for the expectation value of various operators. In particular, we provide an expression for the total energy loss by radiation of a heavy particle in the fundamental representation.

[ { "created": "Thu, 23 Feb 2012 20:43:14 GMT", "version": "v1" }, { "created": "Mon, 2 Apr 2012 19:32:39 GMT", "version": "v2" } ]

2015-06-04

[ [ "Fiol", "Bartomeu", "" ], [ "Garolera", "Blai", "" ], [ "Lewkowycz", "Aitor", "" ] ]

In this work (which supersedes our previous preprint arXiv:1112.2345) we determine the expectation value of the N=4$ SU(N) SYM Lagrangian density operator in the presence of an infinitely heavy static particle in the symmetric representation of SU(N), by means of a D3-brane probe computation. The result that we obtain coincides with two previous computations of different observables, up to kinematical factors. We argue that these agreements go beyond the D-brane probe approximation, which leads us to propose an exact formula for the expectation value of various operators. In particular, we provide an expression for the total energy loss by radiation of a heavy particle in the fundamental representation.

9.984529

8.463079

9.867804

8.857279

8.389625

8.937842

8.402134

8.563482

8.807199

10.448552

8.632982

8.713829

9.357797

9.082193

9.079756

9.07091

8.984694

9.019688

8.638207

9.203162

8.705016

hep-th/9603043

Won T. Kim

Sung-Won Kim, Won T. Kim, Young-Jai Park, and Hyeonjoon Shin

Entropy of the BTZ Black Hole in 2+1 Dimensions

13 pages, latex, no figures, superradiant part and many divergences are seriously reconsidered

Phys.Lett. B392 (1997) 311-318

10.1016/S0370-2693(96)01572-9

SOGANG-HEP-206/96

hep-th

null

We semi-classically calculate the entropy of a scalar field in the background of the BTZ black hole, and derive the perimeter law of the entropy. The proper length from the horizon to the ultraviolet cutoff is independent of both the mass and the angular momentum of the black hole. It is shown that the superradiant scattering modes give the sub-leading order contribution to the entropy while the non-superradiant modes give the leading order one, and thus superradiant effect is minor.

[ { "created": "Fri, 8 Mar 1996 05:06:04 GMT", "version": "v1" }, { "created": "Wed, 28 Aug 1996 06:23:45 GMT", "version": "v2" } ]

2009-10-30

[ [ "Kim", "Sung-Won", "" ], [ "Kim", "Won T.", "" ], [ "Park", "Young-Jai", "" ], [ "Shin", "Hyeonjoon", "" ] ]

We semi-classically calculate the entropy of a scalar field in the background of the BTZ black hole, and derive the perimeter law of the entropy. The proper length from the horizon to the ultraviolet cutoff is independent of both the mass and the angular momentum of the black hole. It is shown that the superradiant scattering modes give the sub-leading order contribution to the entropy while the non-superradiant modes give the leading order one, and thus superradiant effect is minor.

8.338036

7.187742

7.042429

6.734509

7.40731

6.653095

6.791426

6.870151

7.127407

7.073737

7.18855

7.106327

7.251534

6.989816

6.973282

6.95497

6.879852

7.039805

6.97752

7.33426

7.170394

2312.07618

Oswaldo Vazquez

A survey of the electroweak configuration space and the W boson mass

null

hep-th hep-ph

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

Following the recent work of V. Moncrief, A. Marini, R. Maitra and P. Mondal on the geometry of field theoretic configuration spaces, this account examines how the regularized Ricci curvature of the $SU(2)_L \times U(1)_Y$ Yang-Mills orbit space may provide an intrinsic mass to the W boson which contributes to the value obtained from the renormalized Higgs mechanism. Though the discussion is heuristic, one hopes that this infinite-dimensional technology, which does not postulate extensions to the Standard Model, could explain the mass anomaly reported by the CDF II collaboration.

[ { "created": "Mon, 11 Dec 2023 21:43:05 GMT", "version": "v1" } ]

2023-12-14

[ [ "Vazquez", "Oswaldo", "" ] ]

Following the recent work of V. Moncrief, A. Marini, R. Maitra and P. Mondal on the geometry of field theoretic configuration spaces, this account examines how the regularized Ricci curvature of the $SU(2)_L \times U(1)_Y$ Yang-Mills orbit space may provide an intrinsic mass to the W boson which contributes to the value obtained from the renormalized Higgs mechanism. Though the discussion is heuristic, one hopes that this infinite-dimensional technology, which does not postulate extensions to the Standard Model, could explain the mass anomaly reported by the CDF II collaboration.

17.785269

19.922426

19.390032

17.682587

20.400536

20.513689

18.150387

19.880749

20.703302

19.543774

19.151173

18.114695

17.391356

17.438335

18.041531

19.269762

18.08275

17.729818

17.92185

17.217167

17.60622

hep-th/9505102

null

F.Gliozzi, R.Tateo

Thermodynamic Bethe Ansatz and Threefold Triangulations

17 pages, 2 eps figures, enlarged version to appear in IJMPA

Int.J.Mod.Phys. A11 (1996) 4051-4064

10.1142/S0217751X96001905

DFTT-27/95 , DTP-19/95

hep-th

null

In the Thermodynamic Bethe Ansatz approach to 2D integrable, ADE-related quantum field theories one derives a set of algebraic functional equations (a Y-system) which play a prominent role. This set of equations is mapped into the problem of finding finite triangulations of certain 3D manifolds. This mapping allows us to find a general explanation of the periodicity of the Y-system. For the $A_N$ related theories and more generally for the various restrictions of the fractionally-supersymmetric sine-Gordon models, we find an explicit, surprisingly simple solution of such functional equations in terms of a single unknown function of the rapidity. The recently-found dilogarithm functional equations associated to the Y-system simply express the invariance of the volume of a manifold for deformations of its triangulations.

[ { "created": "Wed, 17 May 1995 12:46:38 GMT", "version": "v1" }, { "created": "Thu, 16 May 1996 17:20:23 GMT", "version": "v2" } ]

2009-10-28

[ [ "Gliozzi", "F.", "" ], [ "Tateo", "R.", "" ] ]

In the Thermodynamic Bethe Ansatz approach to 2D integrable, ADE-related quantum field theories one derives a set of algebraic functional equations (a Y-system) which play a prominent role. This set of equations is mapped into the problem of finding finite triangulations of certain 3D manifolds. This mapping allows us to find a general explanation of the periodicity of the Y-system. For the $A_N$ related theories and more generally for the various restrictions of the fractionally-supersymmetric sine-Gordon models, we find an explicit, surprisingly simple solution of such functional equations in terms of a single unknown function of the rapidity. The recently-found dilogarithm functional equations associated to the Y-system simply express the invariance of the volume of a manifold for deformations of its triangulations.

11.652549

10.978032

13.185931

10.61673

11.23995

10.986096

10.533683

11.21617

10.30856

15.310308

10.728979

10.836398

11.431057

10.61936

10.75749

10.790781

10.873576

11.013237

10.952085

11.74929

10.732341

hep-th/0606153

Poul Olesen

Poul Olesen (The Niels Bohr Institute)

Tunneling in two dimensional QCD

10 pages. Clarifying remarks have been added

Nucl.Phys.B752:197-205,2006

10.1016/j.nuclphysb.2006.06.027

null

hep-th hep-lat

null

The spectral density for two dimensional continuum QCD has a non-analytic behavior for a critical area. Apparently this is not reflected in the Wilson loops. However, we show that the existence of a critical area is encoded in the winding Wilson loops: Although there is no non-analyticity or phase transition in these Wilson loops, the dynamics of these loops consists of two smoothly connected domains separated by the critical area, one domain with a confining behavior for large winding Wilson loops, and one (below the critical size) where the string tension disappears. We show that this can be interpreted in terms of a simple tunneling process between an ordered and a disordered state. In view of recent results by Narayanan and Neuberger this tunneling may also be relevant for four dimensional QCD.

[ { "created": "Fri, 16 Jun 2006 10:11:09 GMT", "version": "v1" }, { "created": "Mon, 19 Jun 2006 12:58:02 GMT", "version": "v2" }, { "created": "Mon, 31 Jul 2006 12:03:14 GMT", "version": "v3" } ]

2008-11-26

[ [ "Olesen", "Poul", "", "The Niels Bohr Institute" ] ]

The spectral density for two dimensional continuum QCD has a non-analytic behavior for a critical area. Apparently this is not reflected in the Wilson loops. However, we show that the existence of a critical area is encoded in the winding Wilson loops: Although there is no non-analyticity or phase transition in these Wilson loops, the dynamics of these loops consists of two smoothly connected domains separated by the critical area, one domain with a confining behavior for large winding Wilson loops, and one (below the critical size) where the string tension disappears. We show that this can be interpreted in terms of a simple tunneling process between an ordered and a disordered state. In view of recent results by Narayanan and Neuberger this tunneling may also be relevant for four dimensional QCD.

10.55125

10.054729

11.822451

9.874167

10.281016

10.094543

10.142225

10.463106

10.417566

11.755289

9.724649

9.986649

10.371684

10.030339

10.240908

10.252911

10.129769

9.84016

9.959031

10.206227

10.083839

hep-th/0412050

Dumitru Baleanu

Reparametrization invariance and Hamilton-Jacobi formalism

7 pages, LATEX

null

10.1393/ncb/i2004-10034-9

null

hep-th

null

Systems invariant under the reparametrization of time were treated as constrained systems within Hamilton-Jacobi formalism. After imposing the integrability conditions the time-dependent Schr\"odinger equation was obtained. Three examples are investigated in details.

[ { "created": "Mon, 6 Dec 2004 14:32:09 GMT", "version": "v1" }, { "created": "Tue, 7 Dec 2004 14:50:42 GMT", "version": "v2" }, { "created": "Wed, 8 Dec 2004 16:10:11 GMT", "version": "v3" }, { "created": "Thu, 9 Dec 2004 17:50:48 GMT", "version": "v4" } ]

2009-11-10

[ [ "Baleanu", "Dumitru", "" ] ]

Systems invariant under the reparametrization of time were treated as constrained systems within Hamilton-Jacobi formalism. After imposing the integrability conditions the time-dependent Schr\"odinger equation was obtained. Three examples are investigated in details.

17.423515

10.324069

12.706517

10.932322

10.196766

12.053679

10.780827

9.924355

10.225228

11.819079

11.384075

11.392694

11.361505

11.484432

10.818598

11.215611

11.050257

11.092559

11.575871

11.952581

13.131227

hep-th/9603158

Thomas

Kenneth Intriligator and Scott Thomas

Dynamical Supersymmetry Breaking on Quantum Moduli Spaces

23 pages, harvmac

Nucl.Phys. B473 (1996) 121-142

10.1016/0550-3213(96)00261-1

SLAC-PUB-7041, IASSNS-HEP-95/114

hep-th

null

Supersymmetry breaking by the quantum deformation of a classical moduli space is considered. A simple, non-chiral, renormalizable model is presented to illustrate this mechanism. The well known, chiral, $SU(3) \times SU(2)$ model and its generalizations are shown to break supersymmetry by this mechanism in the limit $\Lambda_2 \gg \Lambda_3$. Other supersymmetry breaking models, with classical flat directions that are only lifted quantum mechanically, are presented. Finally, by integrating in vector matter, the strongly coupled region of chiral models with a dynamically generated superpotential is shown to be continuously connected to a weakly coupled description in terms of confined degrees of freedom, with supersymmetry broken at tree level.

[ { "created": "Sun, 24 Mar 1996 00:00:30 GMT", "version": "v1" } ]

2009-10-30

[ [ "Intriligator", "Kenneth", "" ], [ "Thomas", "Scott", "" ] ]

Supersymmetry breaking by the quantum deformation of a classical moduli space is considered. A simple, non-chiral, renormalizable model is presented to illustrate this mechanism. The well known, chiral, $SU(3) \times SU(2)$ model and its generalizations are shown to break supersymmetry by this mechanism in the limit $\Lambda_2 \gg \Lambda_3$. Other supersymmetry breaking models, with classical flat directions that are only lifted quantum mechanically, are presented. Finally, by integrating in vector matter, the strongly coupled region of chiral models with a dynamically generated superpotential is shown to be continuously connected to a weakly coupled description in terms of confined degrees of freedom, with supersymmetry broken at tree level.

8.597434

7.636364

8.618922

7.67346

7.954482

7.752134

8.056484

7.550049

8.038595

9.230647

8.011843

7.562377

8.148372

7.977

7.973032

7.802451

7.749904

7.760989

7.984963

9.022155

7.899402

hep-th/9210019

null

M. Temple-Raston

On the quantisation of SU(2) magnetic monopole dynamics

4 pages, TeX

null

Con-92-4

hep-th

null

We argue that there is no consistent quantisation of the two BPS SU(2) magnetic monopole dynamical system compatible with the correspondence principle.

[ { "created": "Sun, 4 Oct 1992 19:11:00 GMT", "version": "v1" } ]

2007-05-23

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

We argue that there is no consistent quantisation of the two BPS SU(2) magnetic monopole dynamical system compatible with the correspondence principle.

26.812748

15.580644

20.771978

16.819887

16.993301

15.073873

15.927628

16.526747

15.593435

22.720118

17.134251

17.91217

23.610704

18.784168

19.778431

17.912439

18.877548

17.840946

19.799133

23.322052

18.230534

2311.16249

Flavio Mercati

T-Minkowski noncommutative spacetimes I: Poincar\'e groups, differential calculi and braiding

25 pages, no figures. Matches the version accepted for publication by Progress of Theoretical and Experimental Physics

null

hep-th gr-qc

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

This paper introduces and investigates a class of noncommutative spacetimes that I will call ``T-Minkowski,'' whose quantum Poincar\'e group of isometries exhibits unique and physically motivated characteristics. Notably, the coordinates on the Lorentz subgroup remain commutative, while the deformation is confined to the translations (hence the T in the name), which act like an integrable set of vector fields on the Lorentz group. This is similar to Majid's bicrossproduct construction, although my approach allows the description of spacetimes with commutators that include a constant matrix as well as terms that are linear in the coordinates (the resulting structure is that of a centrally-extended Lie algebra). Moreover, I require that one can define a covariant braided tensor product representation of the quantum Poincar\'e group, describing the algebra of N-points. This also implies that a 4-dimensional bicovariant differential calculus exists on the noncommutative spacetime. The resulting models can all be described in terms of a numerical triangular R-matrix through RTT relations (as well as RXX, RXY and RXdX relations for the homogeneous spacetime, the braiding and the differential calculus). The R-matrices I find are in one-to-one correspondence with the triangular r-matrices on the Poincar\'e group without quadratic terms in the Lorentz generators. These have been classified, up to automorphisms, by Zakrzewski, and amount to 16 inequivalent models. This paper is the first of a series, focusing on the identification of all the quantum Poincar\'e groups that are allowed by my assumptions, as well as the associated quantum homogeneous spacetimes, differential calculi and braiding constructions.

[ { "created": "Mon, 27 Nov 2023 19:01:27 GMT", "version": "v1" }, { "created": "Mon, 10 Jun 2024 17:06:43 GMT", "version": "v2" } ]

2024-06-11

[ [ "Mercati", "Flavio", "" ] ]

This paper introduces and investigates a class of noncommutative spacetimes that I will call ``T-Minkowski,'' whose quantum Poincar\'e group of isometries exhibits unique and physically motivated characteristics. Notably, the coordinates on the Lorentz subgroup remain commutative, while the deformation is confined to the translations (hence the T in the name), which act like an integrable set of vector fields on the Lorentz group. This is similar to Majid's bicrossproduct construction, although my approach allows the description of spacetimes with commutators that include a constant matrix as well as terms that are linear in the coordinates (the resulting structure is that of a centrally-extended Lie algebra). Moreover, I require that one can define a covariant braided tensor product representation of the quantum Poincar\'e group, describing the algebra of N-points. This also implies that a 4-dimensional bicovariant differential calculus exists on the noncommutative spacetime. The resulting models can all be described in terms of a numerical triangular R-matrix through RTT relations (as well as RXX, RXY and RXdX relations for the homogeneous spacetime, the braiding and the differential calculus). The R-matrices I find are in one-to-one correspondence with the triangular r-matrices on the Poincar\'e group without quadratic terms in the Lorentz generators. These have been classified, up to automorphisms, by Zakrzewski, and amount to 16 inequivalent models. This paper is the first of a series, focusing on the identification of all the quantum Poincar\'e groups that are allowed by my assumptions, as well as the associated quantum homogeneous spacetimes, differential calculi and braiding constructions.

10.240388

11.077775

11.15058

9.880634

10.92239

11.113943

10.894624

10.211451

10.755518

11.379495

10.311447

9.986154

9.793683

9.604934

9.600128

9.780732

9.409506

9.768651

9.843026

10.307098

10.101039

2402.02257

Saeed Noori Gashti

Jafar Sadeghi, Mohammad Reza Alipour, Saeed Noori Gashti, Mohammad Ali S. Afshar

Cooling and heating regions of Joule-Thomson expansion for AdS black holes: Maxwell-power-Yang-Mills and Kerr Sen black holes

28 pages, 7 figures, 5 tables

null

hep-th gr-qc

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

In this paper, we explore the Joule-Thomson expansion (JTE) process for the Einstein-Power-Young-Mills (EPYM) and the AdS Kerr Sen (AKS) black holes. We study the effect of free parameters on the Joule-Thomson coefficient (JTC), the inversion curve, and the $T_i^{min}/T_{c}$. The isenthalpic curves of the AKS black hole show cooling or heating behavior depending on the inversion curve, which is affected by the mass and the parameters $b$ and $a$ of the black hole. If we assume the parameter $b$ to be zero, the results reduce to the Kerr-AdS black holes[1]. In [2,3], for the Einstein-Power-Yang-Mills AdS black hole with $q>1$ and $n=2$, the $T_i^{min}/T_{c}$ is $1/2$. But in this paper, for the AdS-Maxwell-power-Yang-Mills black hole, when $q>1$, the $T_i^{min}/T_{c}$ is almost equal to $1/2$ for the increase of Maxwell's charge $C$, and when $q=1/2$, the $T_i^{min}/T_{c}$ is equal to $1/2$ for all values of $C$. Also, when $1/2<q<1$, the $T_i^{min}/T_{c}$ is close to the value of $1/2$, and finally when $0<q<1/2$, the values of $T_i^{min}/T_{c}$ move away from the value of $1/2$, that is, they become smaller. For the AKS black hole, we found that for free parameters $a=0.00951$ and $b=0.00475$, the $T_i^{min}/T_{c}$ is almost $1/2$. Finally, we compare our findings with others in the literature and summarize our results in Tables 1-5.

[ { "created": "Sat, 3 Feb 2024 20:26:24 GMT", "version": "v1" } ]

2024-02-06

[ [ "Sadeghi", "Jafar", "" ], [ "Alipour", "Mohammad Reza", "" ], [ "Gashti", "Saeed Noori", "" ], [ "Afshar", "Mohammad Ali S.", "" ] ]

In this paper, we explore the Joule-Thomson expansion (JTE) process for the Einstein-Power-Young-Mills (EPYM) and the AdS Kerr Sen (AKS) black holes. We study the effect of free parameters on the Joule-Thomson coefficient (JTC), the inversion curve, and the $T_i^{min}/T_{c}$. The isenthalpic curves of the AKS black hole show cooling or heating behavior depending on the inversion curve, which is affected by the mass and the parameters $b$ and $a$ of the black hole. If we assume the parameter $b$ to be zero, the results reduce to the Kerr-AdS black holes[1]. In [2,3], for the Einstein-Power-Yang-Mills AdS black hole with $q>1$ and $n=2$, the $T_i^{min}/T_{c}$ is $1/2$. But in this paper, for the AdS-Maxwell-power-Yang-Mills black hole, when $q>1$, the $T_i^{min}/T_{c}$ is almost equal to $1/2$ for the increase of Maxwell's charge $C$, and when $q=1/2$, the $T_i^{min}/T_{c}$ is equal to $1/2$ for all values of $C$. Also, when $1/2<q<1$, the $T_i^{min}/T_{c}$ is close to the value of $1/2$, and finally when $0<q<1/2$, the values of $T_i^{min}/T_{c}$ move away from the value of $1/2$, that is, they become smaller. For the AKS black hole, we found that for free parameters $a=0.00951$ and $b=0.00475$, the $T_i^{min}/T_{c}$ is almost $1/2$. Finally, we compare our findings with others in the literature and summarize our results in Tables 1-5.

4.593121

4.550495

4.118268

4.171983

4.521873

4.497757

4.538473

4.250283

4.413526

4.456255

4.448165

4.257522

4.367695

4.316575

4.39136

4.297292

4.407537

4.339206

4.377737

4.334597

4.378543

hep-th/9708013

Clisthenis Ponce Constantinidis

C.P. Constantinidis, F. P. Devecchi

Symmetries and degrees of freedom in 2-dimensional dual models

3 pages, revtex, minor corrections

Mod.Phys.Lett. A13 (1998) 631-636

10.1142/S0217732398000681

null

hep-th

null

The 2-dimensional version of the Schwarz and Sen duality model (Tseytlin model) is analyzed at the classical and quantum levels. The solutions are obtained after removing the gauge dependent sector using the Dirac method. The Poincar\`e invariance is verified at both levels. An extension with global supersymmetry is also proposed.

[ { "created": "Mon, 4 Aug 1997 21:58:10 GMT", "version": "v1" }, { "created": "Wed, 11 Feb 1998 16:11:01 GMT", "version": "v2" }, { "created": "Mon, 2 Mar 1998 21:04:07 GMT", "version": "v3" } ]

2009-10-30

[ [ "Constantinidis", "C. P.", "" ], [ "Devecchi", "F. P.", "" ] ]

The 2-dimensional version of the Schwarz and Sen duality model (Tseytlin model) is analyzed at the classical and quantum levels. The solutions are obtained after removing the gauge dependent sector using the Dirac method. The Poincar\`e invariance is verified at both levels. An extension with global supersymmetry is also proposed.

21.018194

15.173339

15.820952

13.461507

13.022639

13.209364

16.24234

13.268562

13.323355

17.402056

13.527698

12.962652

14.436514

13.758141

13.168084

13.704055

13.369173

13.82967

13.231027

15.79788

12.849332

1610.01505

Shahram Panahiyan

S. H. Hendi, N. Riazi, S. Panahiyan

Holographical aspects of dyonic black holes: Massive gravity generalization

29 pages, 18 figures. Accepted for publication in Ann. Phys. (Berlin)

Ann. Phys. (Berlin) 530, 1700211 (2018)

10.1002/andp.201700211

null

hep-th

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

The content of this paper includes studying holographical and thermodynamical aspects of dyonic black holes in the presence of massive gravity. For the first part of paper, thermodynamical properties of the bulk which includes black holes are studied and the main focus is on critical behavior. It will be shown that the existence of massive gravitons introduces remnant for temperature after evaporation of black holes, van der Waals phase transition for non-spherical black holes and etc. The consistency of different thermodynamical approaches toward critical behavior of the black holes is presented and the physical properties near the region of thermal instability are given. Next part of the paper studies holographical aspects of the boundary theory. Magnetization and susceptibility of the boundary are extracted and the conditions for having diamagnetic and paramagnetic behaviors are investigated. It will be shown that generalization to massive gravity results into the existence of diamagnetic/paramagnetic phases in phase structure of the hyperbolic and horizon flat of boundary conformal field theory.

[ { "created": "Sat, 1 Oct 2016 00:32:15 GMT", "version": "v1" }, { "created": "Thu, 23 Nov 2017 13:15:30 GMT", "version": "v2" } ]

2018-02-21

[ [ "Hendi", "S. H.", "" ], [ "Riazi", "N.", "" ], [ "Panahiyan", "S.", "" ] ]

The content of this paper includes studying holographical and thermodynamical aspects of dyonic black holes in the presence of massive gravity. For the first part of paper, thermodynamical properties of the bulk which includes black holes are studied and the main focus is on critical behavior. It will be shown that the existence of massive gravitons introduces remnant for temperature after evaporation of black holes, van der Waals phase transition for non-spherical black holes and etc. The consistency of different thermodynamical approaches toward critical behavior of the black holes is presented and the physical properties near the region of thermal instability are given. Next part of the paper studies holographical aspects of the boundary theory. Magnetization and susceptibility of the boundary are extracted and the conditions for having diamagnetic and paramagnetic behaviors are investigated. It will be shown that generalization to massive gravity results into the existence of diamagnetic/paramagnetic phases in phase structure of the hyperbolic and horizon flat of boundary conformal field theory.

13.253699

12.639091

13.342364

12.560511

12.952495

12.557814

13.366387

12.674077

13.252179

13.855538

12.876485

12.943453

13.452173

12.309297

12.928432

12.619035

13.162343

12.678851

13.005791

13.181952

12.634677

1502.07275

Anton Nedelin

Phase transitions in 5D super Yang-Mills theory

49 pages, 17 figures

null

UUITP-06/15

hep-th

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

In this paper we study a phase structure of $5D$ ${\cal N}=1$ super Yang-Mills theory with massive matter multiplets and $SU(N)$ gauge group. In particular, we are interested in two cases: theory with $N_f$ massive hypermultiplets in the fundamental representation and theory with one adjoint massive hypermultiplet. If these theories are considered on $S^5$ their partition functions can be localized to matrix integrals, which can be approximated by their values at saddle points in the large-$N$ limit. We solve saddle point equations corresponding to the decompactification limit of both theories. We find that in the case of the fundamental hypermultiplets theory experiences third-order phase transition when coupling is varied. We also show that in the case of one adjoint hypermultiplet theory experiences infinite chain of third-order phase transitions, while interpolating between weak and strong coupling regimes.

[ { "created": "Wed, 25 Feb 2015 17:59:33 GMT", "version": "v1" } ]

2015-02-26

[ [ "Nedelin", "Anton", "" ] ]

In this paper we study a phase structure of $5D$ ${\cal N}=1$ super Yang-Mills theory with massive matter multiplets and $SU(N)$ gauge group. In particular, we are interested in two cases: theory with $N_f$ massive hypermultiplets in the fundamental representation and theory with one adjoint massive hypermultiplet. If these theories are considered on $S^5$ their partition functions can be localized to matrix integrals, which can be approximated by their values at saddle points in the large-$N$ limit. We solve saddle point equations corresponding to the decompactification limit of both theories. We find that in the case of the fundamental hypermultiplets theory experiences third-order phase transition when coupling is varied. We also show that in the case of one adjoint hypermultiplet theory experiences infinite chain of third-order phase transitions, while interpolating between weak and strong coupling regimes.

5.417449

5.275846

6.036884

5.324803

4.971319

5.154246

5.239542

5.00486

4.778162

7.057367

5.073922

4.891395

5.19012

5.014295

4.990077

5.210189

5.014171

5.021467

5.160444

5.447524

5.056821

1207.2161

Tobias Huber

J. M. Henn (IAS Princeton), T. Huber (Siegen U)

Systematics of the cusp anomalous dimension

33 pages, 4 figures. Complete LO six-loop result added. Typos corrected. Version accepted for publication

null

10.1007/JHEP11(2012)058

SI-HEP-2012-12

hep-th hep-ph

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

We study the velocity-dependent cusp anomalous dimension in supersymmetric Yang-Mills theory. In a paper by Correa, Maldacena, Sever, and one of the present authors, a scaling limit was identified in which the ladder diagrams are dominant and are mapped onto a Schrodinger problem. We show how to solve the latter in perturbation theory and provide an algorithm to compute the solution at any loop order. The answer is written in terms of harmonic polylogarithms. Moreover, we give evidence for two curious properties of the result. Firstly, we observe that the result can be written using a subset of harmonic polylogarithms only, at least up to six loops. Secondly, we show that in a light-like limit, only single zeta values appear in the asymptotic expansion, again up to six loops. We then extend the analysis of the scaling limit to systematically include subleading terms. This leads to a Schrodinger-type equation, but with an inhomogeneous term. We show how its solution can be computed in perturbation theory, in a way similar to the leading order case. Finally, we analyze the strong coupling limit of these subleading contributions and compare them to the string theory answer. We find agreement between the two calculations.

[ { "created": "Mon, 9 Jul 2012 20:10:19 GMT", "version": "v1" }, { "created": "Thu, 11 Oct 2012 08:45:36 GMT", "version": "v2" } ]

2015-06-05

[ [ "Henn", "J. M.", "", "IAS Princeton" ], [ "Huber", "T.", "", "Siegen U" ] ]

We study the velocity-dependent cusp anomalous dimension in supersymmetric Yang-Mills theory. In a paper by Correa, Maldacena, Sever, and one of the present authors, a scaling limit was identified in which the ladder diagrams are dominant and are mapped onto a Schrodinger problem. We show how to solve the latter in perturbation theory and provide an algorithm to compute the solution at any loop order. The answer is written in terms of harmonic polylogarithms. Moreover, we give evidence for two curious properties of the result. Firstly, we observe that the result can be written using a subset of harmonic polylogarithms only, at least up to six loops. Secondly, we show that in a light-like limit, only single zeta values appear in the asymptotic expansion, again up to six loops. We then extend the analysis of the scaling limit to systematically include subleading terms. This leads to a Schrodinger-type equation, but with an inhomogeneous term. We show how its solution can be computed in perturbation theory, in a way similar to the leading order case. Finally, we analyze the strong coupling limit of these subleading contributions and compare them to the string theory answer. We find agreement between the two calculations.

6.847743

6.460501

7.280416

6.480841

6.832047

6.499241

6.695062

6.588005

6.534069

7.853996

6.572698

6.738295

6.909131

6.565627

6.867405

6.588423

6.935686

6.73679

6.685123

7.108763

6.594954

1208.3476

Sameer Murthy

Kathrin Bringmann and Sameer Murthy

On the positivity of black hole degeneracies in string theory

v2: Typos corrected

null

hep-th math.NT

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

Certain helicity trace indices of charged states in N=4 and N=8 superstring theory have been computed exactly using their explicit weakly coupled microscopic description. These indices are expected to count the exact quantum degeneracies of black holes carrying the same charges. In order for this interpretation to be consistent, these indices should be positive integers. We prove this positivity property for a class of four/five dimensional black holes in type II string theory compactified on T^6/T^5 and on K3 \times T^2/S^1. The proof relies on the mock modular properties of the corresponding generating functions.

[ { "created": "Thu, 16 Aug 2012 20:06:33 GMT", "version": "v1" }, { "created": "Fri, 14 Sep 2012 17:27:05 GMT", "version": "v2" } ]

2012-09-17

[ [ "Bringmann", "Kathrin", "" ], [ "Murthy", "Sameer", "" ] ]

Certain helicity trace indices of charged states in N=4 and N=8 superstring theory have been computed exactly using their explicit weakly coupled microscopic description. These indices are expected to count the exact quantum degeneracies of black holes carrying the same charges. In order for this interpretation to be consistent, these indices should be positive integers. We prove this positivity property for a class of four/five dimensional black holes in type II string theory compactified on T^6/T^5 and on K3 \times T^2/S^1. The proof relies on the mock modular properties of the corresponding generating functions.

9.971024

7.84221

12.330953

8.078879

8.900239

7.840227

9.111454

8.611542

8.032737

11.898712

8.041697

8.411586

9.596863

8.944336

8.401153

8.413642

8.659657

8.819714

8.937602

9.894628

8.741071

1007.3364

Dimo Arnaudov

D. Arnaudov, H. Dimov and R.C. Rashkov

On the pulsating strings in Sasaki-Einstein spaces

9 pages, talk given at the 2nd Int. Conference AMiTaNS, 21-26 June 2010, Sozopol, Bulgaria, organized by EAC (Euro-American Consortium) for Promoting AMiTaNS, to appear in the Proceedings of 2nd Int. Conference AMiTaNS

AIP Conf.Proc.1301:51-58,2010

10.1063/1.3526653

null

hep-th

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

We study the class of pulsating strings in AdS_5 x Y^{p,q} and AdS_5 x L^{p,q,r}. Using a generalized ansatz for pulsating string configurations, we find new solutions for this class in terms of Heun functions, and derive the particular case of AdS_5 x T^{1,1}, which was analyzed in arXiv:1006.1539 [hep-th]. Unfortunately, Heun functions are still little studied, and we are not able to quantize the theory quasi-classically and obtain the first corrections to the energy. The latter, due to AdS/CFT correspondence, is supposed to give the anomalous dimensions of operators of the gauge theory dual N=1 superconformal field theory.

[ { "created": "Tue, 20 Jul 2010 08:54:15 GMT", "version": "v1" } ]

2010-12-13

[ [ "Arnaudov", "D.", "" ], [ "Dimov", "H.", "" ], [ "Rashkov", "R. C.", "" ] ]

We study the class of pulsating strings in AdS_5 x Y^{p,q} and AdS_5 x L^{p,q,r}. Using a generalized ansatz for pulsating string configurations, we find new solutions for this class in terms of Heun functions, and derive the particular case of AdS_5 x T^{1,1}, which was analyzed in arXiv:1006.1539 [hep-th]. Unfortunately, Heun functions are still little studied, and we are not able to quantize the theory quasi-classically and obtain the first corrections to the energy. The latter, due to AdS/CFT correspondence, is supposed to give the anomalous dimensions of operators of the gauge theory dual N=1 superconformal field theory.

7.125191

5.688768

8.784683

5.819006

6.147517

6.031946

5.893466

6.059323

6.031284

8.664282

6.134238

6.696874

7.263218

6.551518

6.664485

6.639163

6.399502

6.25977

6.565868

7.204192

6.346618

1002.1840

Andreas Ringwald

Mark Goodsell, Andreas Ringwald

Light hidden-sector U(1)s in string compactifications

4 pages, to appear in the proceedings of the 9th Hellenic School on Elementary Particle Physics and Gravity, Corfu 2009, Greece

null

10.1002/prop.201000026

DESY 10-015

hep-th

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

We review the case for light U(1) gauge bosons in the hidden-sector of heterotic and type II string compactifications, present estimates of the size of their kinetic mixing with the visible-sector hypercharge U(1), and discuss their possibly very interesting phenomenological consequences in particle physics and cosmology.

[ { "created": "Tue, 9 Feb 2010 12:42:14 GMT", "version": "v1" } ]

2015-05-18

[ [ "Goodsell", "Mark", "" ], [ "Ringwald", "Andreas", "" ] ]

We review the case for light U(1) gauge bosons in the hidden-sector of heterotic and type II string compactifications, present estimates of the size of their kinetic mixing with the visible-sector hypercharge U(1), and discuss their possibly very interesting phenomenological consequences in particle physics and cosmology.

8.023839

6.83335

7.276766

6.673973

7.119804

7.310318

6.897586

6.871356

7.099066

7.777967

6.575395

7.208533

7.224973

7.081598

7.018838

7.136534

7.134483

7.223644

6.898486

7.052924

7.061238

2311.04969

Sergei Alexandrov

Sergei Alexandrov, Raghu Mahajan, Ashoke Sen

Instantons in sine-Liouville theory

47+30 pages

null

hep-th

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

We compute instanton corrections to the partition function of sine-Liouville (SL) theory, which provides a worldsheet description of two-dimensional string theory in a non-trivial tachyon background. We derive these corrections using a matrix model formulation based on a chiral representation of matrix quantum mechanics and using string theory methods. In both cases we restrict to the leading and subleading orders in the string coupling expansion. Then the CFT technique is used to compute two orders of the expansion in the SL perturbation parameter $\lambda$, while the matrix model gives results which are non-perturbative in $\lambda$. The matrix model results perfectly match those of string theory in the small $\lambda$ expansion. We also generalize our findings to the case of perturbation by several tachyon vertex operators carrying different momenta, and obtain interesting analytic predictions for the disk two-point and annulus one-point functions with ZZ boundary condition.

[ { "created": "Wed, 8 Nov 2023 19:00:02 GMT", "version": "v1" } ]

2023-11-10

[ [ "Alexandrov", "Sergei", "" ], [ "Mahajan", "Raghu", "" ], [ "Sen", "Ashoke", "" ] ]

We compute instanton corrections to the partition function of sine-Liouville (SL) theory, which provides a worldsheet description of two-dimensional string theory in a non-trivial tachyon background. We derive these corrections using a matrix model formulation based on a chiral representation of matrix quantum mechanics and using string theory methods. In both cases we restrict to the leading and subleading orders in the string coupling expansion. Then the CFT technique is used to compute two orders of the expansion in the SL perturbation parameter $\lambda$, while the matrix model gives results which are non-perturbative in $\lambda$. The matrix model results perfectly match those of string theory in the small $\lambda$ expansion. We also generalize our findings to the case of perturbation by several tachyon vertex operators carrying different momenta, and obtain interesting analytic predictions for the disk two-point and annulus one-point functions with ZZ boundary condition.

9.547776

9.056831

11.302172

8.958944

9.735312

9.608919

9.686084

9.101321

9.537169

11.686963

9.151648

9.102764

10.49371

9.006701

9.286661

9.30652

9.294147

9.000877

9.179044

10.231483

9.068437

hep-th/9511117

Hajime Aoki

H.Aoki, H.Kawai, J.Nishimura and A.Tsuchiya

Operator Product Expansion in Two-Dimensional Quantum Gravity

22 pages, LaTeX, 7 figures, Revised version, description of the interpretation of the results improved, 2 figures modified

Nucl.Phys. B474 (1996) 512-528

null

KEK-TH-454, DPNU-95-41

hep-th

null

We consider correlation functions of operators and the operator product expansion in two-dimensional quantum gravity. First we introduce correlation functions with geodesic distances between operators kept fixed. Next by making two of the operators closer, we examine if there exists an analog of the operator product expansion in ordinary field theories. Our results suggest that the operator product expansion holds in quantum gravity as well, though special care should be taken regarding the physical meaning of fixing geodesic distances on a fluctuating geometry.

[ { "created": "Thu, 16 Nov 1995 08:17:28 GMT", "version": "v1" }, { "created": "Fri, 1 Dec 1995 13:24:43 GMT", "version": "v2" }, { "created": "Wed, 26 Jun 1996 19:17:46 GMT", "version": "v3" } ]

2008-02-03

[ [ "Aoki", "H.", "" ], [ "Kawai", "H.", "" ], [ "Nishimura", "J.", "" ], [ "Tsuchiya", "A.", "" ] ]

We consider correlation functions of operators and the operator product expansion in two-dimensional quantum gravity. First we introduce correlation functions with geodesic distances between operators kept fixed. Next by making two of the operators closer, we examine if there exists an analog of the operator product expansion in ordinary field theories. Our results suggest that the operator product expansion holds in quantum gravity as well, though special care should be taken regarding the physical meaning of fixing geodesic distances on a fluctuating geometry.

12.019574

11.728372

11.028227

11.396084

12.919006

11.677134

11.848671

12.402417

10.772608

14.02139

11.748462

11.822287

11.617738

10.872938

11.665153

11.54108

11.170569

11.408723

10.974716

11.547898

11.123865

1608.04393

Eric D'Hoker

Eric D'Hoker and Justin Kaidi

Hierarchy of Modular Graph Identities

54 pages, one reference added, minor typos corrected in second version; minor edits and corrections to asymptotics of reference [15] included and implemented in third version

null

hep-th math.NT

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

The low energy expansion of Type II superstring amplitudes at genus one is organized in terms of modular graph functions associated with Feynman graphs of a conformal scalar field on the torus. In earlier work, surprising identities between two-loop graphs at all weights, and between higher-loop graphs of weights four and five were constructed. In the present paper, these results are generalized in two complementary directions. First, all identities at weight six and all dihedral identities at weight seven are obtained and proven. Whenever the Laurent polynomial at the cusp is available, the form of these identities confirms the pattern by which the vanishing of the Laurent polynomial governs the full modular identity. Second, the family of modular graph functions is extended to include all graphs with derivative couplings and worldsheet fermions. These extended families of modular graph functions are shown to obey a hierarchy of inhomogeneous Laplace eigenvalue equations. The eigenvalues for the extended family of dihedral modular graph functions are calculated analytically for the simplest infinite sub-families and obtained by Maple for successively more complicated sub-families. The spectrum is shown to consist solely of eigenvalues $s(s-1)$ for positive integers $s$ bounded by the weight, with multiplicities which exhibit rich representation-theoretic patterns.

[ { "created": "Mon, 15 Aug 2016 20:01:01 GMT", "version": "v1" }, { "created": "Mon, 3 Oct 2016 21:11:15 GMT", "version": "v2" }, { "created": "Fri, 13 Oct 2017 16:46:10 GMT", "version": "v3" } ]

2017-10-16

[ [ "D'Hoker", "Eric", "" ], [ "Kaidi", "Justin", "" ] ]

The low energy expansion of Type II superstring amplitudes at genus one is organized in terms of modular graph functions associated with Feynman graphs of a conformal scalar field on the torus. In earlier work, surprising identities between two-loop graphs at all weights, and between higher-loop graphs of weights four and five were constructed. In the present paper, these results are generalized in two complementary directions. First, all identities at weight six and all dihedral identities at weight seven are obtained and proven. Whenever the Laurent polynomial at the cusp is available, the form of these identities confirms the pattern by which the vanishing of the Laurent polynomial governs the full modular identity. Second, the family of modular graph functions is extended to include all graphs with derivative couplings and worldsheet fermions. These extended families of modular graph functions are shown to obey a hierarchy of inhomogeneous Laplace eigenvalue equations. The eigenvalues for the extended family of dihedral modular graph functions are calculated analytically for the simplest infinite sub-families and obtained by Maple for successively more complicated sub-families. The spectrum is shown to consist solely of eigenvalues $s(s-1)$ for positive integers $s$ bounded by the weight, with multiplicities which exhibit rich representation-theoretic patterns.

6.317513

8.178533

9.002969

8.042006

8.803287

8.353547

8.817428

8.294785

7.751822

10.439924

7.795473

7.894092

7.777887

7.546671

7.807267

8.049256

7.498859

7.858619

7.643206

8.114565

7.50538

0904.0527

Tomasz Konopka

Quantum vacuum effects from boundaries of designer potentials

13 pages, 2 figures

null

10.1103/PhysRevD.79.085012

ITP-UU-09/13, SPIN-09/13

hep-th gr-qc quant-ph

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

Vacuum energy in quantum field theory, being the sum of zero-point energies of all field modes, is formally infinite but yet, after regularization or renormalization, can give rise to finite observable effects. One way of understanding how these effects arise is to compute the vacuum energy in an idealized system such as a large cavity divided into disjoint regions by pistons. In this paper, this type of calculation is carried out for situations where the potential affecting a field is not the same in all regions of the cavity. It is shown that the observable parts of the vacuum energy in such potentials do not fall off to zero as the region where the potential is nontrivial becomes large. This unusual behavior might be interesting for tests involving quantum vacuum effects and for studies on the relation between vacuum energy in quantum field theory and geometry.

[ { "created": "Fri, 3 Apr 2009 08:03:05 GMT", "version": "v1" } ]

2015-05-13

[ [ "Konopka", "Tomasz", "" ] ]

Vacuum energy in quantum field theory, being the sum of zero-point energies of all field modes, is formally infinite but yet, after regularization or renormalization, can give rise to finite observable effects. One way of understanding how these effects arise is to compute the vacuum energy in an idealized system such as a large cavity divided into disjoint regions by pistons. In this paper, this type of calculation is carried out for situations where the potential affecting a field is not the same in all regions of the cavity. It is shown that the observable parts of the vacuum energy in such potentials do not fall off to zero as the region where the potential is nontrivial becomes large. This unusual behavior might be interesting for tests involving quantum vacuum effects and for studies on the relation between vacuum energy in quantum field theory and geometry.

10.103657

10.38129

9.855072

9.238204

9.560665

9.602273

9.354406

8.977261

9.483928

11.105012

9.258673

9.089245

9.458436

9.072145

9.411642

9.374294

9.100697

9.429352

9.287894

9.187861

9.388062

1212.3607

Kurt Hinterbichler

Kurt Hinterbichler, Austin Joyce, Justin Khoury, Godfrey E. J. Miller

DBI Genesis: An Improved Violation of the Null Energy Condition

4 pages, 1 figure

Phys. Rev. Lett. 110, 241303 (2013)

10.1103/PhysRevLett.110.241303

null

hep-th gr-qc

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

We show that the DBI conformal galileons, derived from the world-volume theory of a 3-brane moving in an AdS bulk, admit a background, stable under quantum corrections, which violates the Null Energy Condition (NEC). The perturbations around this background are stable and propagate subluminally. Unlike other known examples of NEC violation, such as ghost condensation and conformal galileons, this theory also admits a stable, Poincare-invariant vacuum, with a Lorentz-invariant S-matrix satisfying standard analyticity conditions. Like conformal galileons, perturbations around deformations of the Poincare invariant vacuum propagate superluminally.

[ { "created": "Fri, 14 Dec 2012 21:00:00 GMT", "version": "v1" } ]

2013-08-02

[ [ "Hinterbichler", "Kurt", "" ], [ "Joyce", "Austin", "" ], [ "Khoury", "Justin", "" ], [ "Miller", "Godfrey E. J.", "" ] ]

We show that the DBI conformal galileons, derived from the world-volume theory of a 3-brane moving in an AdS bulk, admit a background, stable under quantum corrections, which violates the Null Energy Condition (NEC). The perturbations around this background are stable and propagate subluminally. Unlike other known examples of NEC violation, such as ghost condensation and conformal galileons, this theory also admits a stable, Poincare-invariant vacuum, with a Lorentz-invariant S-matrix satisfying standard analyticity conditions. Like conformal galileons, perturbations around deformations of the Poincare invariant vacuum propagate superluminally.

6.6961

6.705487

7.600654

6.023087

7.118236

6.954139

7.299056

6.676971

7.007152

7.603818

6.776174

6.643961

6.631569

6.515818

6.689655

6.876853

6.640545

6.515145

6.597369

6.758541

6.716526

0808.1600

Seiji Sakoda

Exactness in the Path Integral of the Coulomb Potential in One Space Dimension

15 pages, no figure, to appear in Mod. Phys. Lett. A, added references and typos

Mod.Phys.Lett.A23:3057-3076,2008

10.1142/S0217732308028491

null

hep-th

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

We solve time-sliced path integrals of one-dimensional Coulomb system in an exact manner. In formulating path integrals, we make use of the Duru-Kleinert transformation with Fujikawa's gauge theoretical technique. Feynman kernels in the momentum representation both for bound states and scattering states will be obtained with clear pole structure that explains the exactness of the path integral. The path integrals presented here can be, therefore, evaluated exactly by making use of Cauchy's integral theorem.

[ { "created": "Tue, 12 Aug 2008 00:56:31 GMT", "version": "v1" }, { "created": "Wed, 19 Nov 2008 01:33:38 GMT", "version": "v2" } ]

2009-03-24

[ [ "Sakoda", "Seiji", "" ] ]

We solve time-sliced path integrals of one-dimensional Coulomb system in an exact manner. In formulating path integrals, we make use of the Duru-Kleinert transformation with Fujikawa's gauge theoretical technique. Feynman kernels in the momentum representation both for bound states and scattering states will be obtained with clear pole structure that explains the exactness of the path integral. The path integrals presented here can be, therefore, evaluated exactly by making use of Cauchy's integral theorem.

15.223112

15.126289

16.3557

14.930603

14.01899

14.338475

16.625536

15.103651

13.314452

17.363464

16.384048

14.745926

15.316829

14.799645

14.627196

15.241521

14.955549

14.42361

14.093249

14.348389

15.017238

1804.10231

Andrei Mironov

A. Mironov and A. Morozov

On Hopf-induced deformation of topological locus

10 pages

JETP Lett. 107 (2018) no.11, 728-735

10.1134/S0021364018110048

FIAN/TD-06/18; IITP/TH-08/18; ITEP/TH-10/18

hep-th math.GT math.QA

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

We provide a very brief review of the description of colored invariants for the Hopf link in terms of characters, which need to be taken at a peculiar deformation of the topological locus, depending on one of the two representations associated with the two components of the link. Most important, we extend the description of this locus to conjugate and, generically, to composite representations and also define the "adjoint" Schur functions emerging in the dual description.

[ { "created": "Thu, 26 Apr 2018 18:29:09 GMT", "version": "v1" } ]

2018-10-02

[ [ "Mironov", "A.", "" ], [ "Morozov", "A.", "" ] ]

We provide a very brief review of the description of colored invariants for the Hopf link in terms of characters, which need to be taken at a peculiar deformation of the topological locus, depending on one of the two representations associated with the two components of the link. Most important, we extend the description of this locus to conjugate and, generically, to composite representations and also define the "adjoint" Schur functions emerging in the dual description.

25.195425

21.171864

27.452543

19.509142

20.204737

18.691223

20.877066

19.057098

21.60985

26.801256

17.912443

19.661041

25.873835

20.840643

20.363947

20.297508

19.95805

20.558107

20.079609

25.03124

20.337891

hep-th/9809094

Martin Cecile

Cecile Martin

The Poisson structure of the mean-field equations in the Phi^4 theory

12 pages Tex

Annals Phys. 271 (1999) 294-305

10.1006/aphy.1998.5875

null

hep-th

null

We show that the mean-field time dependent equations in the Phi^4 theory can be put into a classical non-canonical hamiltonian framework with a Poisson structure which is a generalization of the standard Poisson bracket. The Heisenberg invariant appears as a structural invariant of the Poisson tensor. (To be pubished in Annals of Physics)

[ { "created": "Mon, 14 Sep 1998 14:49:15 GMT", "version": "v1" } ]

2009-10-31

[ [ "Martin", "Cecile", "" ] ]

We show that the mean-field time dependent equations in the Phi^4 theory can be put into a classical non-canonical hamiltonian framework with a Poisson structure which is a generalization of the standard Poisson bracket. The Heisenberg invariant appears as a structural invariant of the Poisson tensor. (To be pubished in Annals of Physics)

14.173079

14.004815

15.424456

14.169126

15.334698

15.75031

14.739315

13.615362

14.054162

15.318933

13.052858

14.661126

13.687125

13.858614

13.851165

13.972275

13.758922

14.305913

14.077341

14.38495

13.735067

hep-th/9306110

Ivan Kostov

I.K. Kostov

U(N) Gauge Theory and Lattice Strings

37 pages, 11 figures not included ; An extended version explaining in addition the construction of the lattice string ansatz in D >2 dimensions. (Note that the title has been changed.)

null

hep-th

null

The U(N) gauge theory on a D-dimensional lattice is reformulated as a theory of lattice strings (a statistical model of random surfaces). The Boltzmann weights of the surfaces can have both signs and are tuned so that the longitudinal modes of the string are elliminated. The U(\infty) gauge theory is described by noninteracting planar surfaces and the 1/N corrections are produced by surfaces with higher topology as well as by contact interactions due to microscopic tubes, trousers, handles, etc. We pay special attention to the case D=2 where the sum over surfaces can be performed explicitly, and demonstrate that it reproduces the known exact results for the free energy and Wilson loops in the continuum limit. In D=4 dimensions, our lattice string model reproduces the strong coupling phase of the gauge theory. The weak coupling phase is described by a more complicated string whose world surface may have windows. A possible integration measure in the space of continuous surfaces is suggested.

[ { "created": "Mon, 21 Jun 1993 22:26:46 GMT", "version": "v1" }, { "created": "Fri, 25 Jun 1993 10:37:51 GMT", "version": "v2" }, { "created": "Fri, 15 Oct 1993 11:23:28 GMT", "version": "v3" } ]

2008-02-03

[ [ "Kostov", "I. K.", "" ] ]

The U(N) gauge theory on a D-dimensional lattice is reformulated as a theory of lattice strings (a statistical model of random surfaces). The Boltzmann weights of the surfaces can have both signs and are tuned so that the longitudinal modes of the string are elliminated. The U(\infty) gauge theory is described by noninteracting planar surfaces and the 1/N corrections are produced by surfaces with higher topology as well as by contact interactions due to microscopic tubes, trousers, handles, etc. We pay special attention to the case D=2 where the sum over surfaces can be performed explicitly, and demonstrate that it reproduces the known exact results for the free energy and Wilson loops in the continuum limit. In D=4 dimensions, our lattice string model reproduces the strong coupling phase of the gauge theory. The weak coupling phase is described by a more complicated string whose world surface may have windows. A possible integration measure in the space of continuous surfaces is suggested.

11.47339

11.821798

12.308771

10.598837

11.351109

10.401519

10.959799

10.722947

10.608501

13.304951

10.545609

10.781816

11.102163

10.802275

11.278719

11.08927

10.953691

10.943853

10.842107

11.007502

10.712327

hep-th/9912053

Kallosh

Renata Kallosh

Multivalued Entropy of Supersymmetric Black Holes

12 pages, 2 figures, Latex, JHEP style

JHEP 0001 (2000) 001

10.1088/1126-6708/2000/01/001

CERN-TH/99-378

hep-th

null

The supersymmetric flow equations describing the flow of moduli from infinity to the black hole horizon, and vice versa, are derived in the five-dimensional theories where the moduli space of the very special geometry has disjoint branches. The multiple solutions are derived from the `off the horizon' attractor equation. Within each branch, the black hole entropy, as usual, depends only on the near horizon attractor values of moduli, i.e. the entropy depends on the charges and on coefficients of the cubic polynomial. It does not depend on the values of the moduli fields at infinity. However, the entropy, as well as the near horizon values of the moduli fields, are shown to depend on the choice of the branch specified by the choice of the set of moduli at infinity. We present examples of BPS black hole solutions with the same Q_I and C_{IJK}, whose entropies differ significantly.

[ { "created": "Tue, 7 Dec 1999 14:19:57 GMT", "version": "v1" } ]

2009-10-31

[ [ "Kallosh", "Renata", "" ] ]

The supersymmetric flow equations describing the flow of moduli from infinity to the black hole horizon, and vice versa, are derived in the five-dimensional theories where the moduli space of the very special geometry has disjoint branches. The multiple solutions are derived from the `off the horizon' attractor equation. Within each branch, the black hole entropy, as usual, depends only on the near horizon attractor values of moduli, i.e. the entropy depends on the charges and on coefficients of the cubic polynomial. It does not depend on the values of the moduli fields at infinity. However, the entropy, as well as the near horizon values of the moduli fields, are shown to depend on the choice of the branch specified by the choice of the set of moduli at infinity. We present examples of BPS black hole solutions with the same Q_I and C_{IJK}, whose entropies differ significantly.

10.436508

9.720364

11.814586

9.518242

10.346001

11.038476

9.800952

10.249125

10.322531

12.882641

9.954006

9.787766

11.040664

9.887701

9.907904

9.838669

10.034432

9.65395

10.112679

10.751588

9.659646

2311.18530

Yuji Satoh

Yuho Sakatani, Yuji Satoh

On quantum Poisson-Lie T-duality of WZNW models

42 pages; (v3) minor changes, typos corrected

null

hep-th

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

We study Poisson-Lie T-duality of the Wess-Zumino-Novikov-Witten (WZNW) models which are obtained from a class of Drinfel'd doubles and its generalization. In this case, the resultant WZNW models are known to be classically self-dual under Poisson-Lie T-duality. We describe an explicit construction of the associated currents, and discuss the conformal invariance under this duality. In a concrete example of the SU(2) WZNW model, we find that the self-duality is represented as a chiral automorphism of the $\widehat{\mathfrak{su}}(2)$ affine Lie algebra, though the transformation of the currents is non-local and non-linear. This classical automorphism can be promoted to the quantum one through the parafermionic formulation of $\widehat{\mathfrak{su}}(2)$, which in turn induces an isomorphism of the WZNW model. We thus find a full quantum equivalence of the dual pair under Poisson-Lie T-duality. The isomorphism is represented by a sign-change of a chiral boson or the order-disorder duality of the parafermionic conformal field theory as in Abelian T-duality on tori or in the mirror symmetry of the Gepner model.

[ { "created": "Thu, 30 Nov 2023 13:13:26 GMT", "version": "v1" }, { "created": "Wed, 6 Dec 2023 08:09:57 GMT", "version": "v2" }, { "created": "Fri, 26 Jan 2024 08:26:27 GMT", "version": "v3" } ]

2024-01-29

[ [ "Sakatani", "Yuho", "" ], [ "Satoh", "Yuji", "" ] ]

We study Poisson-Lie T-duality of the Wess-Zumino-Novikov-Witten (WZNW) models which are obtained from a class of Drinfel'd doubles and its generalization. In this case, the resultant WZNW models are known to be classically self-dual under Poisson-Lie T-duality. We describe an explicit construction of the associated currents, and discuss the conformal invariance under this duality. In a concrete example of the SU(2) WZNW model, we find that the self-duality is represented as a chiral automorphism of the $\widehat{\mathfrak{su}}(2)$ affine Lie algebra, though the transformation of the currents is non-local and non-linear. This classical automorphism can be promoted to the quantum one through the parafermionic formulation of $\widehat{\mathfrak{su}}(2)$, which in turn induces an isomorphism of the WZNW model. We thus find a full quantum equivalence of the dual pair under Poisson-Lie T-duality. The isomorphism is represented by a sign-change of a chiral boson or the order-disorder duality of the parafermionic conformal field theory as in Abelian T-duality on tori or in the mirror symmetry of the Gepner model.

5.611858

5.666105

6.327382

5.458255

5.686185

5.628902

5.638633

5.290108

5.47331

5.988152

5.501984

5.460267

5.522278

5.422477

5.531825

5.693901

5.565915

5.524051

5.381014

5.688592

5.517645

hep-th/0606235

Stanislaw D. Glazek

Stanislaw D. Glazek and Jaroslaw Mlynik

Boost-invariant Hamiltonian approach to heavy quarkonia

28 pages, 7 figures, revtex4, corrected columns 4 and 5 in Table VI, curves bba in Figs. 5 and 6, and their description, added two sentences in abstract, comments explaining numerical accuracy, and 4 references for Section 5 C

Phys.Rev.D74:105015,2006

10.1103/PhysRevD.74.105015

IFT/08/06

hep-th

null

Light-front Hamiltonian formulation of QCD with only one flavor of quarks is used in its simplest approximate version to calculate masses and boost-invariant wave functions of c-anti-c or b-anti-b mesons. It is shown that in the Hamiltonian approach in its simplest version the strong coupling constant alpha and quark mass m (for suitable values of the renormalization group parameter lambda that is used in the calculation), can be adjusted so that a) masses of 12 lightest well-established b-anti-b mesons are reproduced with accuracy better than 0.5 percent for all of them, which means 50 MeV in a few worst cases and on the order of 10 MeV in other cases, or b) masses of 11 lightest c-anti-c mesons are reproduced with accuracy better than 3 percent for all of them, which means better than 100 MeV in a few worst cases and on the order of 10 MeV in the other cases, while the parameters alpha and m are near the values expected in the cases a) and b) by analogy with other approaches. A 4th-order study in the same Hamiltonian scheme will be required to explicitly include renormalization group running of the parameters alpha and m from the scale set by masses of bosons W and Z down to the values of lambda that are suitable in the bound-state calculations. In principle, one can use the Hamiltonian approach to describe the structure, decay, production, and scattering of heavy quarkonia in all kinds of motion, including velocities arbitrarily close to the speed of light. This work is devoted exclusively to a pilot study of masses of the quarkonia in the simplest version of the approach.

[ { "created": "Fri, 23 Jun 2006 23:05:32 GMT", "version": "v1" }, { "created": "Mon, 23 Oct 2006 20:20:35 GMT", "version": "v2" } ]

2008-11-26

[ [ "Glazek", "Stanislaw D.", "" ], [ "Mlynik", "Jaroslaw", "" ] ]

Light-front Hamiltonian formulation of QCD with only one flavor of quarks is used in its simplest approximate version to calculate masses and boost-invariant wave functions of c-anti-c or b-anti-b mesons. It is shown that in the Hamiltonian approach in its simplest version the strong coupling constant alpha and quark mass m (for suitable values of the renormalization group parameter lambda that is used in the calculation), can be adjusted so that a) masses of 12 lightest well-established b-anti-b mesons are reproduced with accuracy better than 0.5 percent for all of them, which means 50 MeV in a few worst cases and on the order of 10 MeV in other cases, or b) masses of 11 lightest c-anti-c mesons are reproduced with accuracy better than 3 percent for all of them, which means better than 100 MeV in a few worst cases and on the order of 10 MeV in the other cases, while the parameters alpha and m are near the values expected in the cases a) and b) by analogy with other approaches. A 4th-order study in the same Hamiltonian scheme will be required to explicitly include renormalization group running of the parameters alpha and m from the scale set by masses of bosons W and Z down to the values of lambda that are suitable in the bound-state calculations. In principle, one can use the Hamiltonian approach to describe the structure, decay, production, and scattering of heavy quarkonia in all kinds of motion, including velocities arbitrarily close to the speed of light. This work is devoted exclusively to a pilot study of masses of the quarkonia in the simplest version of the approach.

8.276554

9.040623

8.509328

8.10837

9.045718

9.679576

9.011159

8.555003

8.414087

8.512745

8.876669

8.366765

8.477341

8.206823

8.213833

8.327636

8.3203

8.213156

8.258666

8.275074

8.207602

1209.1624

Anzhong Wang

Yongqing Huang and Anzhong Wang

Non-Gaussianity of a single scalar field in general covariant Ho\v{r}ava-Lifshitz gravity

Added new references and corrected some typos. 5 figures, revtex4. Phys. Rev. D86, 103523 (2012)

null

10.1103/PhysRevD.86.103523

null

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

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

In this paper, we study non-Gaussianity generated by a single scalar field in slow-roll inflation in the framework of the non-relativistic general covariant Ho\v{r}ava-Lifshitz theory of gravity with the projectability condition and an arbitrary coupling constant $\lambda$, where $\lambda$ characterizes the deviation of the theory from general relativity (GR) in the infrared. We find that the leading effect of self-interaction, in contrary to the case of minimal scenario of GR, is in general of the order $\hat{\alpha}_{n} \epsilon^{3/2}$, where $\epsilon$ is a slow-roll parameter, and $\hat{\alpha}_{n} (n = 3, 5)$ are the dimensionless coupling coefficients of the six-order operators of the Lifshitz scalar, and have no contributions to power spectra and indices of both scalar and tensor. The bispectrum, comparing with the standard one given in GR, is enhanced, and gives rise to a large value of the nonlinearity parameter $f_{\text{NL}}$.We study how the modified dispersion relation with high order moment terms affects the evaluation of the mode function and in turn the bispectrum, and show explicitly that the mode function takes various asymptotic forms during different periods of its evolution. In particular, we find that it is in general of superpositions of oscillatory functions, instead of plane waves like in the minimal scenario of GR. This results in a large enhancement of the folded shape in the bispectrum.

[ { "created": "Fri, 7 Sep 2012 19:54:47 GMT", "version": "v1" }, { "created": "Mon, 10 Sep 2012 17:53:18 GMT", "version": "v2" }, { "created": "Wed, 17 Oct 2012 14:33:46 GMT", "version": "v3" }, { "created": "Mon, 7 Jan 2013 01:56:13 GMT", "version": "v4" } ]

2013-05-30

[ [ "Huang", "Yongqing", "" ], [ "Wang", "Anzhong", "" ] ]

In this paper, we study non-Gaussianity generated by a single scalar field in slow-roll inflation in the framework of the non-relativistic general covariant Ho\v{r}ava-Lifshitz theory of gravity with the projectability condition and an arbitrary coupling constant $\lambda$, where $\lambda$ characterizes the deviation of the theory from general relativity (GR) in the infrared. We find that the leading effect of self-interaction, in contrary to the case of minimal scenario of GR, is in general of the order $\hat{\alpha}_{n} \epsilon^{3/2}$, where $\epsilon$ is a slow-roll parameter, and $\hat{\alpha}_{n} (n = 3, 5)$ are the dimensionless coupling coefficients of the six-order operators of the Lifshitz scalar, and have no contributions to power spectra and indices of both scalar and tensor. The bispectrum, comparing with the standard one given in GR, is enhanced, and gives rise to a large value of the nonlinearity parameter $f_{\text{NL}}$.We study how the modified dispersion relation with high order moment terms affects the evaluation of the mode function and in turn the bispectrum, and show explicitly that the mode function takes various asymptotic forms during different periods of its evolution. In particular, we find that it is in general of superpositions of oscillatory functions, instead of plane waves like in the minimal scenario of GR. This results in a large enhancement of the folded shape in the bispectrum.

7.802628

8.142088

8.147666

7.502848

7.907761

8.031771

7.647259

7.818238

7.908553

8.740564

7.715031

7.486741

7.647743

7.477334

7.597447

7.831118

7.80009

7.573172

7.510588

7.761784

7.650231

hep-th/0504228

Gary McCartor

Yuji Nakawaki and Gary McCartor

Perturbative Formulation of Pure Space-Like Axial Gauge QED with Infrared Divergences Regularized by Residual Gauge Fields

29 pages; 1 figure

Prog.Theor.Phys. 115 (2006) 425-454

10.1143/PTP.115.425

SMUHEP/05-03

hep-th

null

We construct a new perturbative formulation of pure space-like axial gauge QED in which the inherent infrared divergences are regularized by residual gauge fields. For that purpose we perform our calculations in coordinates $x^{\mu}=(x^+,x^-,x^1,x^2)$, where $x^+=x^0\sin{\theta}+x^3\cos {\theta}$ and $x^-=x^0\cos{\theta}-x^3\sin{\theta}$. $A_-=A^0\cos{\theta}+A^3 \sin{\theta}=n{\cdot}A=0$ is taken as the gauge fixing condition. We show in detail that, in perturbation theory, infrared divergences resulting from the residual gauge fields cancel infrared divergences resulting from the physical parts of the gauge field. As a result we obtain the gauge field propagator prescribed by Mandelstam and Leibbrandt. By taking the limit $\theta {\to} \frac{\pi}{4}$ we can construct the light-cone formulation which is free from infrared difficulty. With that analysis complete, we perform a successful calculation of the one loop electron self energy, something not previously done in light-cone quantization and light-cone gauge.

[ { "created": "Thu, 28 Apr 2005 19:42:59 GMT", "version": "v1" } ]

2009-11-11

[ [ "Nakawaki", "Yuji", "" ], [ "McCartor", "Gary", "" ] ]

We construct a new perturbative formulation of pure space-like axial gauge QED in which the inherent infrared divergences are regularized by residual gauge fields. For that purpose we perform our calculations in coordinates $x^{\mu}=(x^+,x^-,x^1,x^2)$, where $x^+=x^0\sin{\theta}+x^3\cos {\theta}$ and $x^-=x^0\cos{\theta}-x^3\sin{\theta}$. $A_-=A^0\cos{\theta}+A^3 \sin{\theta}=n{\cdot}A=0$ is taken as the gauge fixing condition. We show in detail that, in perturbation theory, infrared divergences resulting from the residual gauge fields cancel infrared divergences resulting from the physical parts of the gauge field. As a result we obtain the gauge field propagator prescribed by Mandelstam and Leibbrandt. By taking the limit $\theta {\to} \frac{\pi}{4}$ we can construct the light-cone formulation which is free from infrared difficulty. With that analysis complete, we perform a successful calculation of the one loop electron self energy, something not previously done in light-cone quantization and light-cone gauge.

6.045803

5.366093

6.462831

5.829662

6.087471

6.036397

6.133236

5.882563

5.925203

6.936831

5.826552

5.968019

6.144535

6.003534

5.963554

5.935781

6.096156

6.042163

5.968441

6.310996

6.030688

hep-th/0604030

Xavier Calmet

Quantum Electrodynamics on Noncommutative Spacetime

published version

Eur.Phys.J.C50:113-116,2007

10.1140/epjc/s10052-006-0192-4

null

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

null

We propose a new method to quantize gauge theories formulated on a canonical noncommutative spacetime with fields and gauge transformations taken in the enveloping algebra. We show that the theory is renormalizable at one loop and compute the beta function and show that the spin dependent contribution to the anomalous magnetic moment of the fermion at one loop has the same value as in the commutative quantum electrodynamics case.

[ { "created": "Wed, 5 Apr 2006 11:36:02 GMT", "version": "v1" }, { "created": "Mon, 8 May 2006 12:09:28 GMT", "version": "v2" }, { "created": "Thu, 22 Mar 2007 10:11:25 GMT", "version": "v3" } ]

2008-11-26

[ [ "Calmet", "Xavier", "" ] ]

We propose a new method to quantize gauge theories formulated on a canonical noncommutative spacetime with fields and gauge transformations taken in the enveloping algebra. We show that the theory is renormalizable at one loop and compute the beta function and show that the spin dependent contribution to the anomalous magnetic moment of the fermion at one loop has the same value as in the commutative quantum electrodynamics case.

8.651568

8.615482

8.004707

7.243335

7.800996

7.46586

7.928542

7.780354

7.211437

8.023738

7.120012

7.850071

8.293373

7.830681

7.757063

7.614017

7.549309

7.798291

8.105036

8.207234

7.300994

2303.09904

Claude Duhr

Claude Duhr, Chandrashekhar Kshirsagar

Amplitude-like functions from entire functions

19 pages

null

BONN-TH-2023-02

hep-th math-ph math.MP

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

Recently a function was constructed that satisfies all known properties of a tree-level scattering of four massless scalars via the exchange of an infinite tower of particles with masses given by the non-trivial zeroes of the Riemann zeta function. A key ingredient in the construction is an even entire function whose only zeroes coincide with the non-trivial zeroes of the Riemann zeta function. In this paper we show that exactly the same conclusions can be drawn for an infinite class of even entire functions with only zeroes on the real line. This shows that the previous result does not seem to be connected to specific properties of the Riemann zeta function, but it applies more generally. As an application, we show that exactly the same conclusions can be drawn for L-functions other than the Riemann zeta function.

[ { "created": "Fri, 17 Mar 2023 11:43:01 GMT", "version": "v1" } ]

2023-03-20

[ [ "Duhr", "Claude", "" ], [ "Kshirsagar", "Chandrashekhar", "" ] ]

Recently a function was constructed that satisfies all known properties of a tree-level scattering of four massless scalars via the exchange of an infinite tower of particles with masses given by the non-trivial zeroes of the Riemann zeta function. A key ingredient in the construction is an even entire function whose only zeroes coincide with the non-trivial zeroes of the Riemann zeta function. In this paper we show that exactly the same conclusions can be drawn for an infinite class of even entire functions with only zeroes on the real line. This shows that the previous result does not seem to be connected to specific properties of the Riemann zeta function, but it applies more generally. As an application, we show that exactly the same conclusions can be drawn for L-functions other than the Riemann zeta function.

6.04294

5.654264

6.065027

5.412761

6.25856

5.918043

5.505938

5.618756

5.468758

6.27056

5.683937

5.763836

5.765422

5.526476

5.480745

5.373828

5.523512

5.373286

5.520984

5.724111

5.39063

hep-th/0411223

Patrizia Vitale

G. Marmo, P. Vitale, A. Zampini

Noncommutative differential calculus for Moyal subalgebras

13 pages, no figures. One reference added, minor corrections

J.Geom.Phys.56:611-622,2006

10.1016/j.geomphys.2005.04.006

null

hep-th

null

We build a differential calculus for subalgebras of the Moyal algebra on R^4 starting from a redundant differential calculus on the Moyal algebra, which is suitable for reduction. In some cases we find a frame of 1-forms which allows to realize the complex of forms as a tensor product of the noncommutative subalgebras with the external algebra Lambda^*.

[ { "created": "Wed, 24 Nov 2004 12:30:37 GMT", "version": "v1" }, { "created": "Mon, 2 May 2005 12:50:14 GMT", "version": "v2" } ]

2010-11-24

[ [ "Marmo", "G.", "" ], [ "Vitale", "P.", "" ], [ "Zampini", "A.", "" ] ]

We build a differential calculus for subalgebras of the Moyal algebra on R^4 starting from a redundant differential calculus on the Moyal algebra, which is suitable for reduction. In some cases we find a frame of 1-forms which allows to realize the complex of forms as a tensor product of the noncommutative subalgebras with the external algebra Lambda^*.

16.328421

11.9657

16.104889

12.885756

13.152508

11.845646

12.733539

13.661042

12.367745

16.807817

13.040273

12.648029

13.739401

12.530612

12.00714

13.080447

12.193275

12.705608

12.668612

13.144714

12.764286

hep-th/0011271

Gabriele Ferretti

Vanicson L. Campos, Gabriele Ferretti, Per Salomonson

The Non-Abelian Self Dual String on the Light Cone

13 pages, LaTeX 2e, 2 figures

JHEP 0012 (2000) 011

10.1088/1126-6708/2000/12/011

null

hep-th

null

We construct the scalar profile for the non-abelian self dual string connecting two M5-branes compactified on a light-like circle. The construction is based on a conjectured modified version of Nahm's equations describing a D2-brane, with a magnetic field on it, suspended between two D4-branes. Turning on a constant magnetic field on the D2-brane corresponds to a boost in the eleventh direction. In the limit of infinite boost the D4-branes correspond to light-like compactified M5-branes. The solution for the scalar profile of the brane remains finite in this limit and displays all the correct expected features such as smooth interpolation between the unbroken and broken phase with the correct value for the Higgs field at infinity.

[ { "created": "Wed, 29 Nov 2000 16:37:55 GMT", "version": "v1" } ]

2009-10-31

[ [ "Campos", "Vanicson L.", "" ], [ "Ferretti", "Gabriele", "" ], [ "Salomonson", "Per", "" ] ]

We construct the scalar profile for the non-abelian self dual string connecting two M5-branes compactified on a light-like circle. The construction is based on a conjectured modified version of Nahm's equations describing a D2-brane, with a magnetic field on it, suspended between two D4-branes. Turning on a constant magnetic field on the D2-brane corresponds to a boost in the eleventh direction. In the limit of infinite boost the D4-branes correspond to light-like compactified M5-branes. The solution for the scalar profile of the brane remains finite in this limit and displays all the correct expected features such as smooth interpolation between the unbroken and broken phase with the correct value for the Higgs field at infinity.

8.650586

8.61084

9.802307

8.125226

8.00804

7.73688

8.521011

8.07668

8.306119

11.122038

8.379359

8.288442

8.672613

8.256349

7.970436

8.242416

8.029161

8.162924

7.956327

8.707375

7.905932

2206.04972

Oscar Fuentealba

Oscar Fuentealba, Marc Henneaux, Javier Matulich, C\'edric Troessaert

Asymptotic structure of the gravitational field in five spacetime dimensions: Hamiltonian analysis

56 pages, no figures. References added and minor typo corrected

null

10.1007/JHEP07(2022)149

null

hep-th gr-qc

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

We develop the analysis of the asymptotic properties of gravity in higher spacetime dimensions $D$, with a particular emphasis on the case $D=5$. Our approach deals with spatial infinity and is Hamiltonian throughout. It is shown that the asymptotic symmetry algebra BMS$_5$, which is realized non linearly, contains a four-fold family of angle-dependent supertranslations. The structure of this non-linear algebra is investigated and a presentation in which the Poincar\'e subalgebra is linearly realized is constructed. Invariance of the energy is studied. Concluding comments on higher dimensions $D \geq 6$ are also given.

[ { "created": "Fri, 10 Jun 2022 10:06:51 GMT", "version": "v1" }, { "created": "Tue, 21 Jun 2022 14:08:10 GMT", "version": "v2" } ]

2022-08-10

[ [ "Fuentealba", "Oscar", "" ], [ "Henneaux", "Marc", "" ], [ "Matulich", "Javier", "" ], [ "Troessaert", "Cédric", "" ] ]

We develop the analysis of the asymptotic properties of gravity in higher spacetime dimensions $D$, with a particular emphasis on the case $D=5$. Our approach deals with spatial infinity and is Hamiltonian throughout. It is shown that the asymptotic symmetry algebra BMS$_5$, which is realized non linearly, contains a four-fold family of angle-dependent supertranslations. The structure of this non-linear algebra is investigated and a presentation in which the Poincar\'e subalgebra is linearly realized is constructed. Invariance of the energy is studied. Concluding comments on higher dimensions $D \geq 6$ are also given.

10.988962

8.63766

10.067192

8.732557

9.324944

9.229743

9.122494

9.169994

9.026443

10.25666

9.109297

9.5906

9.920846

9.541492

9.63469

9.346238

9.620478

9.647034

9.61333

10.032505

9.67614

2201.11594

Qianyu Hao

Alba Grassi, Qianyu Hao, Andrew Neitzke

Exponential Networks, WKB and Topological String

null

SIGMA 19 (2023), 064, 44 pages

10.3842/SIGMA.2023.064

UTTG 31-2022, CERN-TH-2022-003

hep-th math-ph math.MP

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

We propose a connection between 3d-5d exponential networks and exact WKB for difference equations associated to five dimensional Seiberg-Witten curves, or equivalently, to quantum mirror curves to toric Calabi-Yau threefolds $X$: the singularities in the Borel planes of local solutions to such difference equations correspond to central charges of 3d-5d BPS KK-modes. It follows that there should be distinguished local solutions of the difference equation in each domain of the complement of the exponential network, and these solutions jump at the walls of the network. We verify and explore this picture in two simple examples of 3d-5d systems, corresponding to taking the toric Calabi-Yau $X$ to be either $\mathbb{C}^3$ or the resolved conifold. We provide the full list of local solutions in each sector of the Borel plane and in each domain of the complement of the exponential network, and find that local solutions in disconnected domains correspond to non-perturbative open topological string amplitudes on $X$ with insertions of branes at different positions of the toric diagram. We also study the Borel summation of the closed refined topological string free energy on $X$ and the corresponding non-perturbative effects, finding that central charges of 5d BPS KK-modes are related to the singularities in the Borel plane.

[ { "created": "Thu, 27 Jan 2022 15:46:54 GMT", "version": "v1" }, { "created": "Mon, 6 Mar 2023 17:19:23 GMT", "version": "v2" }, { "created": "Wed, 13 Sep 2023 06:54:39 GMT", "version": "v3" } ]

2023-09-14

[ [ "Grassi", "Alba", "" ], [ "Hao", "Qianyu", "" ], [ "Neitzke", "Andrew", "" ] ]

We propose a connection between 3d-5d exponential networks and exact WKB for difference equations associated to five dimensional Seiberg-Witten curves, or equivalently, to quantum mirror curves to toric Calabi-Yau threefolds $X$: the singularities in the Borel planes of local solutions to such difference equations correspond to central charges of 3d-5d BPS KK-modes. It follows that there should be distinguished local solutions of the difference equation in each domain of the complement of the exponential network, and these solutions jump at the walls of the network. We verify and explore this picture in two simple examples of 3d-5d systems, corresponding to taking the toric Calabi-Yau $X$ to be either $\mathbb{C}^3$ or the resolved conifold. We provide the full list of local solutions in each sector of the Borel plane and in each domain of the complement of the exponential network, and find that local solutions in disconnected domains correspond to non-perturbative open topological string amplitudes on $X$ with insertions of branes at different positions of the toric diagram. We also study the Borel summation of the closed refined topological string free energy on $X$ and the corresponding non-perturbative effects, finding that central charges of 5d BPS KK-modes are related to the singularities in the Borel plane.

6.503352

6.481345

7.973203

6.237677

6.646744

6.592295

6.237577

6.312557

6.392361

8.793021

6.379035

6.361036

6.987352

6.440946

6.559519

6.780508

6.618819

6.402667

6.590114

7.286034

6.361096

hep-th/0508148

Albion Lawrence

Martin Kruczenski, Albion Lawrence

Random walks and the Hagedorn transition

34 pages (7 of references), 5 figures. v2: Reference added, grant acknowledgement added, typos corrected

JHEP 0607 (2006) 031

10.1088/1126-6708/2006/07/031

BRX-TH-556

hep-th

null

We study details of the approach to the Hagedorn temperature in string theory in various static spacetime backgrounds. We show that the partition function for a {\it single} string at finite temperature is the torus amplitude restricted to unit winding around Euclidean time. We use the worldsheet path integral to derive the statement that the the sum over random walks of the thermal scalar near the Hagedorn transition is precisely the image under a modular transformation of the sum over spatial configurations of a single highly excited string. We compute the radius of gyration of thermally excited strings in $AdS_D\times S^n$. We show that the winding mode indicates an instability despite the AdS curvature at large radius, and that the negative mass squared decreases with decreasing AdS radius, much like the type 0 tachyon. We add further arguments to statements by Barbon and Rabinovici, and by Adams {\it et. al.}, that the Euclidean AdS black hole can thought of as a condensate of the thermal scalar. We use this to provide circumstantial evidence that the condensation of the thermal scalar decouples closed string modes.

[ { "created": "Mon, 22 Aug 2005 05:01:06 GMT", "version": "v1" }, { "created": "Fri, 5 May 2006 19:32:17 GMT", "version": "v2" } ]

2009-11-11

[ [ "Kruczenski", "Martin", "" ], [ "Lawrence", "Albion", "" ] ]

We study details of the approach to the Hagedorn temperature in string theory in various static spacetime backgrounds. We show that the partition function for a {\it single} string at finite temperature is the torus amplitude restricted to unit winding around Euclidean time. We use the worldsheet path integral to derive the statement that the the sum over random walks of the thermal scalar near the Hagedorn transition is precisely the image under a modular transformation of the sum over spatial configurations of a single highly excited string. We compute the radius of gyration of thermally excited strings in $AdS_D\times S^n$. We show that the winding mode indicates an instability despite the AdS curvature at large radius, and that the negative mass squared decreases with decreasing AdS radius, much like the type 0 tachyon. We add further arguments to statements by Barbon and Rabinovici, and by Adams {\it et. al.}, that the Euclidean AdS black hole can thought of as a condensate of the thermal scalar. We use this to provide circumstantial evidence that the condensation of the thermal scalar decouples closed string modes.

12.562967

12.472872

13.996397

11.995415

12.976573

12.255299

13.206565

11.909307

12.572595

13.766862

11.507082

12.040254

12.686027

12.107853

12.010156

12.104753

11.982589

11.697357

12.177102

12.459764

11.877718

1507.01567

Eugenio Bianchi

Eugenio Bianchi, Lucas Hackl, Nelson Yokomizo

Entanglement entropy of squeezed vacua on a lattice

35 pages, 2 figures

Phys. Rev. D 92, 085045 (2015)

10.1103/PhysRevD.92.085045

null

hep-th gr-qc quant-ph

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

We derive a formula for the entanglement entropy of squeezed states on a lattice in terms of the complex structure J. The analysis involves the identification of squeezed states with group-theoretical coherent states of the symplectic group and the relation between the coset Sp(2N,R)/Isot(J_0) and the space of complex structures. We present two applications of the new formula: (i) we derive the area law for the ground state of a scalar field on a generic lattice in the limit of small speed of sound, (ii) we compute the rate of growth of the entanglement entropy in the presence of an instability and show that it is bounded from above by the Kolmogorov-Sinai rate.

[ { "created": "Mon, 6 Jul 2015 19:18:44 GMT", "version": "v1" } ]

2015-11-04

[ [ "Bianchi", "Eugenio", "" ], [ "Hackl", "Lucas", "" ], [ "Yokomizo", "Nelson", "" ] ]

We derive a formula for the entanglement entropy of squeezed states on a lattice in terms of the complex structure J. The analysis involves the identification of squeezed states with group-theoretical coherent states of the symplectic group and the relation between the coset Sp(2N,R)/Isot(J_0) and the space of complex structures. We present two applications of the new formula: (i) we derive the area law for the ground state of a scalar field on a generic lattice in the limit of small speed of sound, (ii) we compute the rate of growth of the entanglement entropy in the presence of an instability and show that it is bounded from above by the Kolmogorov-Sinai rate.

7.198985

7.435077

7.015122

6.693761

6.83307

6.735549

7.630753

7.130026

6.776319

8.155608

6.987374

6.672359

6.434013

6.604344

6.874751

6.722879

6.490842

6.639009

6.741552

6.926016

6.61346

1912.05940

Ashis Saha

Ashis Saha, Sunandan Gangopadhyay

Holographic computation of Wilson loops in a background with broken conformal invariance and finite chemical potential

23 pages LaTex, 18 Figures, To appear in Phys. Rev. D

Phys. Rev. D 101, 086022 (2020)

10.1103/PhysRevD.101.086022

null

hep-th hep-ph

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

In this paper, we follow a `bottom-up' AdS/QCD approach to holographically probe the dynamics of a moving $q\bar{q}$ pair inside a strongly coupled plasma at the boundary. We consider a deformed AdS-Reissner Nordstr\"om metric in the bulk in order to introduce nonconformality and finite quark density in the dual field theory. By boosting the gravity solution in a specific direction we consider two extreme cases of orientation, parallel and perpendicular, for the Wilson loop which in turn fixes the relative position of the $q\bar{q}$ pair with respect to the direction of boost in the plasma. By utilizing this set-up, we holographically compute the vacuum expectation value of the time-like Wilson loop in order to obtain real part of the $q\bar{q}$ potential and the effects of nonconformality (deformation parameter $c$), chemical potential $\mu$ and rapidity $\beta$ are observed on this potential. We then compute the in-medium energy loss of the moving parton (jet quenching parameter $q_m$) by setting $\beta\rightarrow\infty$ which in turn makes the Wilson loop light-like. We also use the jet quenching as an order parameter to probe the strongly-coupled domain of the dual field theory. Finally, we compute the imaginary part of the $q\bar{q}$ potential ($\mathrm{Im}(V_{q\bar{q}})$) by considering the thermal fluctuation (arbitrary long wavelength) of the string world-sheet. It is observed that for fixed values of the chemical potential and rapidity, increase in the nonconformality parameter leads to an increase in the real and imaginary potentials as well as the jet quenching parameter.

[ { "created": "Wed, 11 Dec 2019 12:18:38 GMT", "version": "v1" }, { "created": "Tue, 14 Apr 2020 01:36:57 GMT", "version": "v2" } ]

2020-04-27

[ [ "Saha", "Ashis", "" ], [ "Gangopadhyay", "Sunandan", "" ] ]

In this paper, we follow a `bottom-up' AdS/QCD approach to holographically probe the dynamics of a moving $q\bar{q}$ pair inside a strongly coupled plasma at the boundary. We consider a deformed AdS-Reissner Nordstr\"om metric in the bulk in order to introduce nonconformality and finite quark density in the dual field theory. By boosting the gravity solution in a specific direction we consider two extreme cases of orientation, parallel and perpendicular, for the Wilson loop which in turn fixes the relative position of the $q\bar{q}$ pair with respect to the direction of boost in the plasma. By utilizing this set-up, we holographically compute the vacuum expectation value of the time-like Wilson loop in order to obtain real part of the $q\bar{q}$ potential and the effects of nonconformality (deformation parameter $c$), chemical potential $\mu$ and rapidity $\beta$ are observed on this potential. We then compute the in-medium energy loss of the moving parton (jet quenching parameter $q_m$) by setting $\beta\rightarrow\infty$ which in turn makes the Wilson loop light-like. We also use the jet quenching as an order parameter to probe the strongly-coupled domain of the dual field theory. Finally, we compute the imaginary part of the $q\bar{q}$ potential ($\mathrm{Im}(V_{q\bar{q}})$) by considering the thermal fluctuation (arbitrary long wavelength) of the string world-sheet. It is observed that for fixed values of the chemical potential and rapidity, increase in the nonconformality parameter leads to an increase in the real and imaginary potentials as well as the jet quenching parameter.

6.419461

6.4563

6.259809

6.035013

6.45731

6.182081

6.170205

6.189457

6.068765

7.018317

5.935027

6.12817

6.284125

6.14563

6.255282

6.270817

6.026879

6.098365

6.267009

6.19886

6.201471

1004.2509

Gerald V. Dunne

Cesim K. Dumlu and Gerald V. Dunne

The Stokes Phenomenon and Schwinger Vacuum Pair Production in Time-Dependent Laser Pulses

5 pages, 4 figs.; v2 sign typo corrected, version to appear in PRL

Phys.Rev.Lett.104:250402,2010

10.1103/PhysRevLett.104.250402

null

hep-th hep-ph quant-ph

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

Particle production due to external fields (electric, chromo-electric or gravitational) requires evolving an initial state through an interaction with a time-dependent background, with the rate being computed from a Bogoliubov transformation between the in and out vacua. When the background fields have temporal profiles with sub-structure, a semiclassical analysis of this problem confronts the full subtlety of the Stokes phenomenon: WKB solutions are only local, while the production rate requires global information. Incorporating the Stokes phenomenon, we give a simple quantitative explanation of the recently computed [Phys. Rev. Lett. 102, 150404 (2009)] oscillatory momentum spectrum of e+e- pairs produced from vacuum subjected to a time-dependent electric field with sub-cycle laser pulse structure. This approach also explains naturally why for spinor and scalar QED these oscillations are out of phase.

[ { "created": "Wed, 14 Apr 2010 21:04:52 GMT", "version": "v1" }, { "created": "Thu, 24 Jun 2010 17:37:10 GMT", "version": "v2" } ]

2010-11-11

[ [ "Dumlu", "Cesim K.", "" ], [ "Dunne", "Gerald V.", "" ] ]

Particle production due to external fields (electric, chromo-electric or gravitational) requires evolving an initial state through an interaction with a time-dependent background, with the rate being computed from a Bogoliubov transformation between the in and out vacua. When the background fields have temporal profiles with sub-structure, a semiclassical analysis of this problem confronts the full subtlety of the Stokes phenomenon: WKB solutions are only local, while the production rate requires global information. Incorporating the Stokes phenomenon, we give a simple quantitative explanation of the recently computed [Phys. Rev. Lett. 102, 150404 (2009)] oscillatory momentum spectrum of e+e- pairs produced from vacuum subjected to a time-dependent electric field with sub-cycle laser pulse structure. This approach also explains naturally why for spinor and scalar QED these oscillations are out of phase.

13.260779

13.475998

12.431493

12.137776

12.848184

12.362044

12.6998

12.33852

11.681672

14.095703

11.604292

12.137635

12.364649

12.276043

12.713839

12.358852

12.334546

12.411499

12.072871

12.589596

12.264626

2303.12422

Soumangsu Chakraborty Dr

Soumangsu Chakraborty, Amit Giveon and David Kutasov

Comments on Single-Trace $T\bar T$ Holography

17 pages

null

10.1007/JHEP06(2023)018

null

hep-th

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

We explore the holographic duality between string theory in backgrounds that interpolate between asymptotically linear dilaton spacetime in the UV and $AdS_3$ in the IR, and single-trace $T\bar T$ deformed CFT. In particular, we explain how the deformation of states in the boundary theory is reflected in the bulk geometry, and show that the coupling above which the deformed energy of the $SL(2,\mathbb{R})$ invariant ground state of the IR CFT becomes complex is a maximal coupling.

[ { "created": "Wed, 22 Mar 2023 09:47:15 GMT", "version": "v1" }, { "created": "Thu, 20 Apr 2023 11:59:34 GMT", "version": "v2" } ]

2023-06-21

[ [ "Chakraborty", "Soumangsu", "" ], [ "Giveon", "Amit", "" ], [ "Kutasov", "David", "" ] ]

We explore the holographic duality between string theory in backgrounds that interpolate between asymptotically linear dilaton spacetime in the UV and $AdS_3$ in the IR, and single-trace $T\bar T$ deformed CFT. In particular, we explain how the deformation of states in the boundary theory is reflected in the bulk geometry, and show that the coupling above which the deformed energy of the $SL(2,\mathbb{R})$ invariant ground state of the IR CFT becomes complex is a maximal coupling.

7.307442

6.394255

8.254776

6.574186

7.286746

6.838523

6.282893

6.555789

6.442649

9.446122

6.366268

6.597628

7.489504

6.41997

6.690439

6.785901

6.449524

6.588377

6.532308

8.067214

6.433973

2103.10259

Yuri Makeenko

Jan Ambjorn and Yuri Makeenko

The susceptibility exponent of Nambu-Goto strings

12 pages

null

10.1142/S0217732321501364

null

hep-th hep-lat

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

We compute the string susceptibility $\gamma_{str}$ for the regularized Nambu-Goto string in $d$ dimensions and obtain $\gamma_{str}=1/2 $ in $2<d<26$. This agrees with previous results obtained for lattice strings.

[ { "created": "Thu, 18 Mar 2021 13:57:20 GMT", "version": "v1" } ]

2021-07-21

[ [ "Ambjorn", "Jan", "" ], [ "Makeenko", "Yuri", "" ] ]

We compute the string susceptibility $\gamma_{str}$ for the regularized Nambu-Goto string in $d$ dimensions and obtain $\gamma_{str}=1/2 $ in $2<d<26$. This agrees with previous results obtained for lattice strings.

8.518441

8.190595

7.658709

7.311481

6.543558

7.387571

6.406653

7.116507

7.807914

8.278429

7.4924

7.178827

8.02834

7.710279

7.414001

7.529493

7.560812

7.66573

7.715811

7.786511

7.447764

hep-th/0212269

Jan Plefka

N. Beisert, C. Kristjansen, J. Plefka, M. Staudacher

BMN Gauge Theory as a Quantum Mechanical System

13 pages, v2: minor changes, v3: typo corrected, to appear in Phys. Lett. B

Phys.Lett.B558:229-237,2003

10.1016/S0370-2693(03)00269-7

AEI-2002-104

hep-th

null

We rigorously derive an effective quantum mechanical Hamiltonian from N=4 gauge theory in the BMN limit. Its eigenvalues yield the exact one-loop anomalous dimensions of scalar two-impurity BMN operators for all genera. It is demonstrated that this reformulation vastly simplifies computations. E.g. the known anomalous dimension formula for genus one is reproduced through a one-line calculation. We also efficiently evaluate the genus two correction, finding a non-vanishing result. We comment on multi-trace two-impurity operators and we conjecture that our quantum-mechanical reformulation could be extended to higher quantum loops and more impurities.

[ { "created": "Fri, 20 Dec 2002 20:12:24 GMT", "version": "v1" }, { "created": "Fri, 7 Mar 2003 13:14:23 GMT", "version": "v2" }, { "created": "Tue, 18 Mar 2003 12:49:30 GMT", "version": "v3" } ]

2011-03-23

[ [ "Beisert", "N.", "" ], [ "Kristjansen", "C.", "" ], [ "Plefka", "J.", "" ], [ "Staudacher", "M.", "" ] ]

We rigorously derive an effective quantum mechanical Hamiltonian from N=4 gauge theory in the BMN limit. Its eigenvalues yield the exact one-loop anomalous dimensions of scalar two-impurity BMN operators for all genera. It is demonstrated that this reformulation vastly simplifies computations. E.g. the known anomalous dimension formula for genus one is reproduced through a one-line calculation. We also efficiently evaluate the genus two correction, finding a non-vanishing result. We comment on multi-trace two-impurity operators and we conjecture that our quantum-mechanical reformulation could be extended to higher quantum loops and more impurities.

12.181307

11.140237

13.112797

10.462864

11.119202

10.456681

10.148364

10.591342

10.057826

12.297366

10.649824

10.761889

11.876739

10.895255

10.824632

10.701883

10.667943

10.798841

10.976406

11.721949

10.628005

2006.15149

Pablo Antonio Cano Molina-Ni\~nirola

Pablo A. Cano and \'Angel Murcia

Resolution of Reissner-Nordstr\"om singularities by higher-derivative corrections

6 pages, 2 figures. v2: references added, typos corrected

null

IFT-UAM/CSIC-20-99

hep-th gr-qc

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

We describe a non-minimal higher-derivative extension of Einstein-Maxwell theory in which electrically-charged black holes and point charges have globally regular gravitational and electromagnetic fields. We provide an exact static spherically symmetric solution of this theory that reduces to the Reissner-Nordstr\"om one at weak coupling, but in which the singularity at $r=0$ is regularized for arbitrary mass and (non-vanishing) charge. We discuss the properties of these solutions and comment on the physical significance of our results.

[ { "created": "Fri, 26 Jun 2020 18:00:01 GMT", "version": "v1" }, { "created": "Fri, 10 Jul 2020 11:16:54 GMT", "version": "v2" } ]

2020-07-13

[ [ "Cano", "Pablo A.", "" ], [ "Murcia", "Ángel", "" ] ]

We describe a non-minimal higher-derivative extension of Einstein-Maxwell theory in which electrically-charged black holes and point charges have globally regular gravitational and electromagnetic fields. We provide an exact static spherically symmetric solution of this theory that reduces to the Reissner-Nordstr\"om one at weak coupling, but in which the singularity at $r=0$ is regularized for arbitrary mass and (non-vanishing) charge. We discuss the properties of these solutions and comment on the physical significance of our results.

6.572581

6.544465

6.119387

5.542521

6.135942

5.951942

5.81817

5.868163

6.01439

6.258161

5.608782

6.172231

5.859906

5.969095

5.958824

6.018557

6.005083

6.088809

6.038575

6.111413

5.92602

hep-th/9304032

null

A.P.Balachandran, G.Bimonte, K.S.Gupta, G.Marmo, P.Salomonson, A.Simoni, A.Stern

Current Algebra and Conformal Field Theory on a Figure Eight

39 pages; Latex with 1 figure included in encapsulated postscript format. psbox.tex required

Int. J. Mod. Phys. A8 (1993) 5641

10.1142/S0217751X9300223X

SU-4240-528

hep-th

null

We examine the dynamics of a free massless scalar field on a figure eight network. Upon requiring the scalar field to have a well defined value at the junction of the network, it is seen that the conserved currents of the theory satisfy Kirchhoff's law, that is that the current flowing into the junction equals the current flowing out. We obtain the corresponding current algebra and show that, unlike on a circle, the left- and right-moving currents on the figure eight do not in general commute in quantum theory. Since a free scalar field theory on a one dimensional spatial manifold exhibits conformal symmetry, it is natural to ask whether an analogous symmetry can be defined for the figure eight. We find that, unlike in the case of a manifold, the action plus boundary conditions for the network are not invariant under separate conformal transformations associated with left- and right-movers. Instead, the system is, at best, invariant under only a single set of transformations. Its conserved current is also found to satisfy Kirchhoff's law at the junction. We obtain the associated conserved charges, and show that they generate a Virasoro algebra. Its conformal anomaly (central charge) is computed for special values of the parameters characterizing the network.

[ { "created": "Thu, 8 Apr 1993 19:38:00 GMT", "version": "v1" } ]

2015-06-26

[ [ "Balachandran", "A. P.", "" ], [ "Bimonte", "G.", "" ], [ "Gupta", "K. S.", "" ], [ "Marmo", "G.", "" ], [ "Salomonson", "P.", "" ], [ "Simoni", "A.", "" ], [ "Stern", "A.", "" ] ]

We examine the dynamics of a free massless scalar field on a figure eight network. Upon requiring the scalar field to have a well defined value at the junction of the network, it is seen that the conserved currents of the theory satisfy Kirchhoff's law, that is that the current flowing into the junction equals the current flowing out. We obtain the corresponding current algebra and show that, unlike on a circle, the left- and right-moving currents on the figure eight do not in general commute in quantum theory. Since a free scalar field theory on a one dimensional spatial manifold exhibits conformal symmetry, it is natural to ask whether an analogous symmetry can be defined for the figure eight. We find that, unlike in the case of a manifold, the action plus boundary conditions for the network are not invariant under separate conformal transformations associated with left- and right-movers. Instead, the system is, at best, invariant under only a single set of transformations. Its conserved current is also found to satisfy Kirchhoff's law at the junction. We obtain the associated conserved charges, and show that they generate a Virasoro algebra. Its conformal anomaly (central charge) is computed for special values of the parameters characterizing the network.

7.412579

8.110429

8.133843

7.120475

7.510619

7.728513

7.848529

7.829033

6.832482

8.31252

7.117653

7.331398

7.596083

7.284212

7.24721

7.422514

7.155829

7.108225

7.172077

7.71269

6.99068

hep-th/9512028

Dimitri Polyakov

RR-Dilaton Interaction in a Type IIB Superstring

12 pages

Nucl.Phys. B468 (1996) 155-162

10.1016/0550-3213(96)00100-9

RU 95-85

hep-th

null

We analyze the interaction between the massless RR states with a dilaton in a type IIB superstring. By constructing vertex operators for massless and massive RR states and computing their correlation functions with a dilaton we find the Ramond-Ramond part of the superstring low-energy effective action. The RR terms appearing in the action do not contain the standard dilatonic factor (string coupling constant). The geometrical interpretation of this fact is presented. Namely we argue that the spin operators in the RR vertices effectively decrease the Euler character of the worldsheet by 1 unit. As a result, the additional dilatonic term proportional to string coupling constant appears in the worldsheet string action.

[ { "created": "Tue, 5 Dec 1995 19:22:59 GMT", "version": "v1" } ]

2016-09-06

[ [ "Polyakov", "Dimitri", "" ] ]

We analyze the interaction between the massless RR states with a dilaton in a type IIB superstring. By constructing vertex operators for massless and massive RR states and computing their correlation functions with a dilaton we find the Ramond-Ramond part of the superstring low-energy effective action. The RR terms appearing in the action do not contain the standard dilatonic factor (string coupling constant). The geometrical interpretation of this fact is presented. Namely we argue that the spin operators in the RR vertices effectively decrease the Euler character of the worldsheet by 1 unit. As a result, the additional dilatonic term proportional to string coupling constant appears in the worldsheet string action.

10.747574

11.725613

11.154259

10.42517

10.133192

10.119761

10.006661

10.385328

10.399578

11.457283

10.603315

10.479063

10.504979

10.167309

10.565138

10.432079

10.543186

9.957853

10.644752

10.343685

10.387734

2308.02438

Jonah Stalknecht

Livia Ferro, Ross Glew, Tomasz Lukowski and Jonah Stalknecht

Prescriptive Unitarity from Positive Geometries

41 pages, 23 figures

null

hep-th

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

In this paper, we define the momentum amplituhedron in the four-dimensional split-signature space of dual momenta. It encodes scattering amplitudes at tree level and loop integrands for N=4 super Yang-Mills in the planar sector. In this description, every point in the tree-level geometry is specified by a null polygon. Using the null structure of this kinematic space, we find a geometry whose canonical differential form produces loop-amplitude integrands. Remarkably, at one loop it is a curvy version of a simple polytope, whose vertices are specified by maximal cuts of the amplitude. This construction allows us to find novel formulae for the one-loop integrands for amplitudes with any multiplicity and helicity. The formulae obtained in this way agree with the ones derived via prescriptive unitarity. It makes prescriptive unitarity naturally emerge from this geometric description.

[ { "created": "Fri, 4 Aug 2023 16:14:04 GMT", "version": "v1" } ]

2023-08-07

[ [ "Ferro", "Livia", "" ], [ "Glew", "Ross", "" ], [ "Lukowski", "Tomasz", "" ], [ "Stalknecht", "Jonah", "" ] ]

In this paper, we define the momentum amplituhedron in the four-dimensional split-signature space of dual momenta. It encodes scattering amplitudes at tree level and loop integrands for N=4 super Yang-Mills in the planar sector. In this description, every point in the tree-level geometry is specified by a null polygon. Using the null structure of this kinematic space, we find a geometry whose canonical differential form produces loop-amplitude integrands. Remarkably, at one loop it is a curvy version of a simple polytope, whose vertices are specified by maximal cuts of the amplitude. This construction allows us to find novel formulae for the one-loop integrands for amplitudes with any multiplicity and helicity. The formulae obtained in this way agree with the ones derived via prescriptive unitarity. It makes prescriptive unitarity naturally emerge from this geometric description.

11.575074

10.090162

12.559128

10.196506

11.709674

9.84923

11.005767

9.97651

10.975376

14.660493

10.183228

11.11414

11.486791

10.661663

11.289477

10.666138

10.828009

11.144917

10.933955

11.974453

10.691526

2207.07280

Jun Zeng

Zhi-Fu Deng, Wei Wang, Jun Zeng

Transverse-momentum-dependent wave functions and Soft functions at one-loop in Large Momentum Effective Theory

null

10.1007/JHEP09(2022)046

null

hep-th hep-lat hep-ph

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

In large-momentum effective theory (LaMET), the transverse-momentum-dependent (TMD) light-front wave functions and soft functions can be extracted from the simulation of a four-quark form factor and equal-time correlation functions. In this work, using expansion by regions we provide a one-loop proof of TMD factorization of the form factor. For the one-loop validation, we also present a detailed calculation of ${\cal O}(\alpha_s)$ perturbative corrections to these quantities, in which we adopt a modern technique for the calculation of TMD form factor based the integration by part and differential equation. The one-loop hard functions are then extracted. Using lattice data from Lattice Parton Collaboration on quasi-TMDWFs, we estimate the effects from the one-loop matching kernel and find that the perturbative corrections depend on the operator to define the form factor, but are less sensitive to the transverse separation. These results will be helpful to precisely extract the soft functions and TMD wave functions from the first-principle in future.

[ { "created": "Fri, 15 Jul 2022 04:08:02 GMT", "version": "v1" } ]

2022-09-21

[ [ "Deng", "Zhi-Fu", "" ], [ "Wang", "Wei", "" ], [ "Zeng", "Jun", "" ] ]

In large-momentum effective theory (LaMET), the transverse-momentum-dependent (TMD) light-front wave functions and soft functions can be extracted from the simulation of a four-quark form factor and equal-time correlation functions. In this work, using expansion by regions we provide a one-loop proof of TMD factorization of the form factor. For the one-loop validation, we also present a detailed calculation of ${\cal O}(\alpha_s)$ perturbative corrections to these quantities, in which we adopt a modern technique for the calculation of TMD form factor based the integration by part and differential equation. The one-loop hard functions are then extracted. Using lattice data from Lattice Parton Collaboration on quasi-TMDWFs, we estimate the effects from the one-loop matching kernel and find that the perturbative corrections depend on the operator to define the form factor, but are less sensitive to the transverse separation. These results will be helpful to precisely extract the soft functions and TMD wave functions from the first-principle in future.

11.244633

15.199549

10.431328

10.527761

12.149541

14.520988

13.005403

13.605494

10.735934

11.182865

12.854928

11.480126

10.36784

10.362361

10.941513

11.735656

10.960934

11.296871

10.536596

10.523683

10.807885

hep-th/9406155

null

J. Balog and T. Hauer

Polynomial Form Factors in the O(3) Nonlinear sigma-Model

11 pages, plain LaTeX, KFKI-1994-10/A

Phys.Lett. B337 (1994) 115-121

10.1016/0370-2693(94)91453-2

null

hep-th

null

We study the general structure of Smirnov's axioms on form factors of local operators in integrable models. We find various consistency conditions that the form factor functions have to satisfy. For the special case of the $O(3)$ $\sigma$-model we construct simple polynomial solutions for the operators of the spin-field, current, energy-momentum tensor and topological charge density.

[ { "created": "Thu, 23 Jun 1994 14:02:00 GMT", "version": "v1" } ]

2009-10-28

[ [ "Balog", "J.", "" ], [ "Hauer", "T.", "" ] ]

We study the general structure of Smirnov's axioms on form factors of local operators in integrable models. We find various consistency conditions that the form factor functions have to satisfy. For the special case of the $O(3)$ $\sigma$-model we construct simple polynomial solutions for the operators of the spin-field, current, energy-momentum tensor and topological charge density.

10.555764

8.9228

13.266652

9.001524

10.089

8.650407

9.989285

8.536355

9.043385

10.776042

8.488756

8.809356

10.23422

9.423104

9.181896

9.013247

9.555683

8.993155

9.013561

9.960305

9.037796

2309.03953

Harun Omer

Light-Front Holographic QCD from a Coherent State in String Theory

null

hep-th

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

It is shown that Light-Front Holographic Quantum Chromodynamics (LFHQCD) can be embedded in type II string theory based on the coherent state $e^{-\frac{1}{\lambda} L_{-1}}|h\rangle$. Salient features of hadron spectroscopy as known from LFHQCD carry over to string theory, notably the linear Regge trajectories of mesons and baryons in the chiral limit where $\lambda$ defines the QCD scale. From the LFHQCD perspective, this is an avenue to implement hadron spin. From the string perspective, string theory remains as a TOE with excited states generally at the Planck scale. Yet due to the unique properties of the coherent state, the mass scale of the tower of massive states on it is broken down from the Planck scale to the QCD scale, thereby reproducing properties of hadronic spectra. Furthermore, connection exists to gravitationally dressed excited states in AdS3.

[ { "created": "Thu, 7 Sep 2023 18:00:35 GMT", "version": "v1" } ]

2023-09-11

[ [ "Omer", "Harun", "" ] ]

It is shown that Light-Front Holographic Quantum Chromodynamics (LFHQCD) can be embedded in type II string theory based on the coherent state $e^{-\frac{1}{\lambda} L_{-1}}|h\rangle$. Salient features of hadron spectroscopy as known from LFHQCD carry over to string theory, notably the linear Regge trajectories of mesons and baryons in the chiral limit where $\lambda$ defines the QCD scale. From the LFHQCD perspective, this is an avenue to implement hadron spin. From the string perspective, string theory remains as a TOE with excited states generally at the Planck scale. Yet due to the unique properties of the coherent state, the mass scale of the tower of massive states on it is broken down from the Planck scale to the QCD scale, thereby reproducing properties of hadronic spectra. Furthermore, connection exists to gravitationally dressed excited states in AdS3.

11.986798

12.217868

11.687235

11.329521

12.263157

12.759658

11.884919

12.077348

10.889121

12.966893

12.066822

11.657331

11.57557

11.310418

11.75758

11.867519

11.776932

11.309856

11.260984

11.172807

11.622092

hep-th/0602132

Francesc Ferrer

Francesc Ferrer, Harsh Mathur, Tanmay Vachaspati and Glenn D. Starkman

Zero modes on cosmic strings in an external magnetic field

9 pages, 4 figures

Phys.Rev. D74 (2006) 025012

10.1103/PhysRevD.74.025012

null

hep-th astro-ph cond-mat.other

null

A classical analysis suggests that an external magnetic field can cause trajectories of charge carriers on a superconducting domain wall or cosmic string to bend, thus expelling charge carriers with energy above the mass threshold into the bulk. We study this process by solving the Dirac equation for a fermion of mass $m_f$ and charge $e$, in the background of a domain wall and a magnetic field of strength $B$. We find that the modes of the charge carriers get shifted into the bulk, in agreement with classical expectations. However the dispersion relation for the zero modes changes dramatically -- instead of the usual linear dispersion relation, $\omega_k =k$, the new dispersion relation is well fit by $\omega \approx m_f tanh(k/k_*)$ where $k_*=m_f$ for a thin wall in the weak field limit, and $k_*=eBw$ for a thick wall of width $w$. This result shows that the energy of the charge carriers on the domain wall remains below the threshold for expulsion even in the presence of an external magnetic field. If charge carriers are expelled due to an additional perturbation, they are most likely to be ejected at the threshold energy $\sim m_f$.

[ { "created": "Mon, 13 Feb 2006 23:48:06 GMT", "version": "v1" } ]

2009-11-11

[ [ "Ferrer", "Francesc", "" ], [ "Mathur", "Harsh", "" ], [ "Vachaspati", "Tanmay", "" ], [ "Starkman", "Glenn D.", "" ] ]

A classical analysis suggests that an external magnetic field can cause trajectories of charge carriers on a superconducting domain wall or cosmic string to bend, thus expelling charge carriers with energy above the mass threshold into the bulk. We study this process by solving the Dirac equation for a fermion of mass $m_f$ and charge $e$, in the background of a domain wall and a magnetic field of strength $B$. We find that the modes of the charge carriers get shifted into the bulk, in agreement with classical expectations. However the dispersion relation for the zero modes changes dramatically -- instead of the usual linear dispersion relation, $\omega_k =k$, the new dispersion relation is well fit by $\omega \approx m_f tanh(k/k_*)$ where $k_*=m_f$ for a thin wall in the weak field limit, and $k_*=eBw$ for a thick wall of width $w$. This result shows that the energy of the charge carriers on the domain wall remains below the threshold for expulsion even in the presence of an external magnetic field. If charge carriers are expelled due to an additional perturbation, they are most likely to be ejected at the threshold energy $\sim m_f$.

8.142076

8.760715

7.578561

7.38121

8.254353

8.139452

8.361296

7.677783

7.289551

8.185789

7.771715

7.402613

7.79737

7.582337

7.568017

7.796188

7.516145

7.51987

7.501251

7.653353

7.389229

hep-th/9210036

Daniel Cangemi

Daniel Cangemi and Roman Jackiw

Geometric Gravitational Forces on Particles Moving in a Line

10 pages, CTP#2147

Phys.Lett. B299 (1993) 24-29

10.1016/0370-2693(93)90878-L

null

hep-th gr-qc

null

In two-dimensional space-time, point particles can experience a geometric, dimension-specific gravity force, which modifies the usual geodesic equation of motion and provides a link between the cosmological constant and the vacuum $\theta$-angle. The description of such forces fits naturally into a gauge theory of gravity based on the extended Poincar\'e group, {\it i.e.\/} ``string-inspired'' dilaton gravity.

[ { "created": "Wed, 7 Oct 1992 21:40:30 GMT", "version": "v1" } ]

2009-10-22

[ [ "Cangemi", "Daniel", "" ], [ "Jackiw", "Roman", "" ] ]

In two-dimensional space-time, point particles can experience a geometric, dimension-specific gravity force, which modifies the usual geodesic equation of motion and provides a link between the cosmological constant and the vacuum $\theta$-angle. The description of such forces fits naturally into a gauge theory of gravity based on the extended Poincar\'e group, {\it i.e.\/} ``string-inspired'' dilaton gravity.

16.040529

14.389608

15.052528

14.252827

16.256575

14.645677

15.905371

13.72796

15.285299

15.601055

15.211528

14.448783

14.069148

14.495696

15.025081

14.78089

14.11931

13.925569

14.355728

14.011114

13.80063

hep-th/9912264

Dmitri Sorokin

Igor Bandos, Jerzy Lukierski and Dmitri Sorokin

The OSp(1|4) Superparticle and Exotic BPS States

Sprocl.sty, 10 pages. Talk given by D.S. at the XIV-th Max Born Symposium, Karpacz, Poland, September 21--25, 1999

null

10.1142/9789812793263_0010

DFPD 99/TH/54

hep-th

null

We discuss the dynamics of a superparticle in a superspace whose isometry is generated by the superalgebra OSp(1|4) or its central-charge contraction. Extra coordinates of the superspace associated with tensorial central charges are shown to describe spin degrees of freedom of the superparticle, so quantum states form an infinite tower of (half)-integer helicities. A peculiar feature of the model is that it admits BPS states which preserve 3/4 of target-space supersymmetries.

[ { "created": "Tue, 28 Dec 1999 14:38:06 GMT", "version": "v1" } ]

2016-11-23

[ [ "Bandos", "Igor", "" ], [ "Lukierski", "Jerzy", "" ], [ "Sorokin", "Dmitri", "" ] ]

We discuss the dynamics of a superparticle in a superspace whose isometry is generated by the superalgebra OSp(1|4) or its central-charge contraction. Extra coordinates of the superspace associated with tensorial central charges are shown to describe spin degrees of freedom of the superparticle, so quantum states form an infinite tower of (half)-integer helicities. A peculiar feature of the model is that it admits BPS states which preserve 3/4 of target-space supersymmetries.

9.888873

8.044021

11.187031

8.041849

7.890704

7.703743

8.285061

8.013146

7.845465

12.130342

8.383385

9.198248

9.903727

9.011393

8.886505

8.867948

8.871318

8.636892

9.17937

10.064402

8.517889

1404.2867

Paul K. Townsend

Eric Bergshoeff, Olaf Hohm, Wout Merbis, Alasdair J. Routh and Paul K. Townsend

Minimal Massive 3D Gravity

21 pages. v2 includes additional references and an extended discussion of the unusual features of the MMG equation. Typos corrected in v3 and a "note added" concerning matter coupling. More sign corrections in v4 plus additional "note added"

Class. Quantum Grav. 31 (2014) 145008

10.1088/0264-9381/31/14/145008

RUG-CTN-2014-67, DAMTP-2014-20, MIT-CTP 4544

hep-th gr-qc

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

We present an alternative to Topologically Massive Gravity (TMG) with the same "minimal" bulk properties; i.e. a single local degree of freedom that is realized as a massive graviton in linearization about an anti-de Sitter (AdS) vacuum. However, in contrast to TMG, the new "minimal massive gravity" has both a positive energy graviton and positive central charges for the asymptotic AdS-boundary conformal algebra.

[ { "created": "Thu, 10 Apr 2014 16:18:41 GMT", "version": "v1" }, { "created": "Mon, 21 Apr 2014 15:01:13 GMT", "version": "v2" }, { "created": "Mon, 7 Jul 2014 22:02:54 GMT", "version": "v3" }, { "created": "Thu, 14 Aug 2014 17:40:50 GMT", "version": "v4" } ]

2015-06-19

[ [ "Bergshoeff", "Eric", "" ], [ "Hohm", "Olaf", "" ], [ "Merbis", "Wout", "" ], [ "Routh", "Alasdair J.", "" ], [ "Townsend", "Paul K.", "" ] ]

We present an alternative to Topologically Massive Gravity (TMG) with the same "minimal" bulk properties; i.e. a single local degree of freedom that is realized as a massive graviton in linearization about an anti-de Sitter (AdS) vacuum. However, in contrast to TMG, the new "minimal massive gravity" has both a positive energy graviton and positive central charges for the asymptotic AdS-boundary conformal algebra.

5.823898

6.228985

6.933768

5.900295

6.487202

6.176038

6.725159

6.36844

6.103701

8.429512

5.924265

5.70601

5.920485

5.755541

5.413857

5.578737

5.712096

5.564395

5.604416

6.101245

5.79621

2404.11821

Mikhail Molodyk

Mikhail Molodyk and Andr\'as Vasy

An analogue of non-interacting quantum field theory in Riemannian signature

41 pages; typos fixed

null

hep-th gr-qc math.AP

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

In this paper, we define a model of non-interacting quantum fields satisfying $(\Delta_g-\lambda^2)\phi=0$ on a Riemannian scattering space $(M,g)$ with two boundary components, i.e. a manifold with two asymptotically conic ends (meaning asymptotic to the "large end" of a cone). Our main result describes a canonical construction of two-point functions satisfying a version of the Hadamard condition.

[ { "created": "Thu, 18 Apr 2024 00:58:44 GMT", "version": "v1" }, { "created": "Sun, 21 Apr 2024 15:01:40 GMT", "version": "v2" } ]

2024-04-23

[ [ "Molodyk", "Mikhail", "" ], [ "Vasy", "András", "" ] ]

In this paper, we define a model of non-interacting quantum fields satisfying $(\Delta_g-\lambda^2)\phi=0$ on a Riemannian scattering space $(M,g)$ with two boundary components, i.e. a manifold with two asymptotically conic ends (meaning asymptotic to the "large end" of a cone). Our main result describes a canonical construction of two-point functions satisfying a version of the Hadamard condition.

10.011463

10.952532

11.266826

9.773923

11.145111

10.929129

12.87246

10.116131

10.275116

11.238224

9.213475

10.008396

9.74662

9.511692

9.401776

9.282657

9.370654

9.056263

9.148657

10.198436

8.743369

2110.14688

Alexander Kurov

Andrei O. Barvinsky, Alexander V. Kurov, Sergey M. Sibiryakov

Beta functions of (3+1)-dimensional projectable Horava gravity

56 pages, no figures, 2 ancillary files

null

10.1103/PhysRevD.105.044009

INR-TH-2021-020

hep-th gr-qc

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

We derive the full set of beta functions for the marginal essential couplings of projectable Horava gravity in (3 + 1)-dimensional spacetime. To this end we compute the divergent part of the one-loop effective action in static background with arbitrary spatial metric. The computation is done in several steps: reduction of the problem to three dimensions, extraction of an operator square root from the spatial part of the fluctuation operator, and evaluation of its trace using the method of universal functional traces. This provides us with the renormalization of couplings in the potential part of the action which we combine with the results for the kinetic part obtained previously. The calculation uses symbolic computer algebra and is performed in four different gauges yielding identical results for the essential beta functions. We additionally check the calculation by evaluating the effective action on a special background with spherical spatial slices using an alternative method of spectral summation. We conclude with a preliminary discussion of the properties of the beta functions and the resulting renormalization group flow, identifying several candidate asymptotically free fixed points.

[ { "created": "Wed, 27 Oct 2021 18:15:38 GMT", "version": "v1" } ]

2022-02-16

[ [ "Barvinsky", "Andrei O.", "" ], [ "Kurov", "Alexander V.", "" ], [ "Sibiryakov", "Sergey M.", "" ] ]

We derive the full set of beta functions for the marginal essential couplings of projectable Horava gravity in (3 + 1)-dimensional spacetime. To this end we compute the divergent part of the one-loop effective action in static background with arbitrary spatial metric. The computation is done in several steps: reduction of the problem to three dimensions, extraction of an operator square root from the spatial part of the fluctuation operator, and evaluation of its trace using the method of universal functional traces. This provides us with the renormalization of couplings in the potential part of the action which we combine with the results for the kinetic part obtained previously. The calculation uses symbolic computer algebra and is performed in four different gauges yielding identical results for the essential beta functions. We additionally check the calculation by evaluating the effective action on a special background with spherical spatial slices using an alternative method of spectral summation. We conclude with a preliminary discussion of the properties of the beta functions and the resulting renormalization group flow, identifying several candidate asymptotically free fixed points.

9.486238

9.765923

10.084733

8.979223

9.864265

9.445848

9.91656

8.649713

8.705658

9.980481

8.831111

8.794809

9.212551

8.88736

8.968595

9.046915

8.803626

9.035329

9.267569

9.781142

9.347062

hep-th/9410169

Alexander Kirillov

Pavel Etingof, Alexander Kirillov Jr

Representation-theoretic proof of the inner product and symmetry identities for Macdonald's polynomials

null

hep-th math.QA

null

This paper is a continuation of our papers \cite{EK1, EK2}. In \cite{EK2} we showed that for the root system $A_{n-1}$ one can obtain Macdonald's polynomials as weighted traces of intertwining operators between certain finite-dimensional representations of $U_q(sl_n)$. The main goal of the present paper is to use this construction to give a representation-theoretic proof of Macdonald's inner product and symmetry identities for the root system $A_{n-1}$. The proofs are based on the techniques of ribbon graphs developed by Reshetikhin and Turaev. We also use the symmetry identities to derive recursive relations for Macdonald's polynomials.

[ { "created": "Fri, 21 Oct 1994 22:49:41 GMT", "version": "v1" } ]

2008-02-03

[ [ "Etingof", "Pavel", "" ], [ "Kirillov", "Alexander", "Jr" ] ]

This paper is a continuation of our papers \cite{EK1, EK2}. In \cite{EK2} we showed that for the root system $A_{n-1}$ one can obtain Macdonald's polynomials as weighted traces of intertwining operators between certain finite-dimensional representations of $U_q(sl_n)$. The main goal of the present paper is to use this construction to give a representation-theoretic proof of Macdonald's inner product and symmetry identities for the root system $A_{n-1}$. The proofs are based on the techniques of ribbon graphs developed by Reshetikhin and Turaev. We also use the symmetry identities to derive recursive relations for Macdonald's polynomials.

5.163222

4.986939

5.298092

4.759109

5.153162

4.986508

5.055275

5.101962

4.698059

5.525969

4.861607

4.814387

4.947158

4.782823

4.955567

4.931561

4.907878

4.832988

4.838715

4.882783

4.854492

0705.3369

Andreas Gustavsson

Closed non-abelian strings

27 pages

Nucl.Phys.B814:53-75,2009

10.1016/j.nuclphysb.2009.01.015

null

hep-th

null

With the aim of finding a framework for describing $(2,0)$ theory, we propose a non-abelian gerbe with surface holonomies that can parallel transport closed strings only.

[ { "created": "Wed, 23 May 2007 13:23:45 GMT", "version": "v1" }, { "created": "Sat, 25 Aug 2007 18:25:05 GMT", "version": "v2" } ]

2009-03-24

[ [ "Gustavsson", "Andreas", "" ] ]

With the aim of finding a framework for describing $(2,0)$ theory, we propose a non-abelian gerbe with surface holonomies that can parallel transport closed strings only.

26.781502

16.380405

27.170572

16.505136

19.29105

16.44705

16.529406

20.123495

17.743429

28.649006

15.465072

17.843443

24.33614

18.416529

18.631863

18.547548

17.363567

17.912636

18.161463

21.992554

18.78059

1204.0012

Matthias Kaminski

Mitsutoshi Fujita, Matthias Kaminski, Andreas Karch

SL(2,Z) Action on AdS/BCFT and Hall Conductivities

26 pages, 1 figure; v2: references added

null

10.1007/JHEP07(2012)150

null

hep-th cond-mat.str-el

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

We study the response of a conserved current to external electromagnetic fields in a holographic system with boundaries using the recently proposed AdS/BCFT (boundary conformal field theory) framework. This, in particular, allows us to extract the Hall current, the Hall conductivity, plus some potentially novel transport coefficients, and relations among them. We also analyze the action of SL(2,Z) duality in the gravity bulk, which acts non-trivially on the conductivity of the BCFT. Finally we consider a type IIA string theory embedding of our setup.

[ { "created": "Fri, 30 Mar 2012 20:14:20 GMT", "version": "v1" }, { "created": "Thu, 12 Apr 2012 16:44:24 GMT", "version": "v2" } ]

2017-08-23

[ [ "Fujita", "Mitsutoshi", "" ], [ "Kaminski", "Matthias", "" ], [ "Karch", "Andreas", "" ] ]

We study the response of a conserved current to external electromagnetic fields in a holographic system with boundaries using the recently proposed AdS/BCFT (boundary conformal field theory) framework. This, in particular, allows us to extract the Hall current, the Hall conductivity, plus some potentially novel transport coefficients, and relations among them. We also analyze the action of SL(2,Z) duality in the gravity bulk, which acts non-trivially on the conductivity of the BCFT. Finally we consider a type IIA string theory embedding of our setup.

10.898396

8.938465

11.982827

9.063474

9.172328

9.350807

9.787656

9.823216

8.664709

12.053523

9.519955

9.606468

10.560144

9.363503

9.526391

9.768732

9.879817

9.550656

9.521487

11.000116

9.517507

1502.06536

Ehsan Hatefi

Remarks on the mixed Ramond -Ramond, open string scattering amplitudes of BPS, non-BPS and brane-anti brane

37 pages,no figure, Latex file. V2:The logical ideas are clarified , the version is accepted in EPJC

Eur. Phys. J. C (2015) 75:517

10.1140/epjc/s10052-015-3739-4

null

hep-th gr-qc hep-ph

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

From the world-sheet point of view we compute three, four and five point BPS and non-BPS scattering amplitudes of type IIA and IIB superstring theory. All these the mixed S-matrix elements including a closed string Ramond-Ramond (RR) in the bulk and a scalar/gauge or tachyons with their all different pictures ( including RR in asymmetric and symmetric pictures) have been carried out. We have also shown that in asymmetric pictures various equations must be kept fixed. More importantly, by direct calculations on upper half plane, it is realized that some of the equations (that must be true) for BPS branes can not be necessarily applied to non-BPS amplitudes. We also derive the S-Matrix elements of $<V_C^{-2} V_{\phi}^{0}V _A^{0} V_T^{0} >$ and clarify the fact that in the presence of the scalar field and RR, the terms carrying momentum of RR in transverse directions play important role in the entire form of the S-matrix and their presence is needed in order to have gauge invariance for the entire S-matrix elements of type IIA (IIB) superstring theory.

[ { "created": "Mon, 23 Feb 2015 18:25:47 GMT", "version": "v1" }, { "created": "Fri, 16 Oct 2015 17:05:53 GMT", "version": "v2" } ]

2015-11-04

[ [ "Hatefi", "Ehsan", "" ] ]

From the world-sheet point of view we compute three, four and five point BPS and non-BPS scattering amplitudes of type IIA and IIB superstring theory. All these the mixed S-matrix elements including a closed string Ramond-Ramond (RR) in the bulk and a scalar/gauge or tachyons with their all different pictures ( including RR in asymmetric and symmetric pictures) have been carried out. We have also shown that in asymmetric pictures various equations must be kept fixed. More importantly, by direct calculations on upper half plane, it is realized that some of the equations (that must be true) for BPS branes can not be necessarily applied to non-BPS amplitudes. We also derive the S-Matrix elements of $<V_C^{-2} V_{\phi}^{0}V _A^{0} V_T^{0} >$ and clarify the fact that in the presence of the scalar field and RR, the terms carrying momentum of RR in transverse directions play important role in the entire form of the S-matrix and their presence is needed in order to have gauge invariance for the entire S-matrix elements of type IIA (IIB) superstring theory.

15.589116

13.906136

16.9519

14.113694

14.779306

14.821708

14.052936

13.544818

14.549839

19.439667

13.533481

13.854316

15.274833

13.853824

13.716578

14.172139

13.828694

13.785209

14.153453

15.349424

13.900571

1304.4802

Javier Tarrio

Francesco Bigazzi, Aldo L. Cotrone and Javier Tarrio

Charged D3-D7 plasmas: novel solutions, extremality and stability issues

34 pages + appendix, 9 figures

null

10.1007/JHEP07(2013)074

IFUP-TH/2013-09, ICCUB-13-066

hep-th

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

We study finite temperature N=4 Super Yang-Mills (and more general gauge theories realized on intersecting D3-D7 branes) in the presence of dynamical massless fundamental matter fields at finite baryon charge density. We construct the holographic dual charged black hole solutions at first order in the flavor backreaction but exact in the charge density. The thermodynamical properties of the dual gauge theories coincide with the ones found in the usual charged D7-probe limit and the system turns out to be thermodynamically stable. By analyzing the higher order correction in the flavor backreaction, we provide a novel argument for the un-reliability of the charged probe approximation (and the present solution) in the extremality limit, i.e. at zero temperature. We then consider scalar mesonic-like bound states, whose spectrum is dual to that of linearized fluctuations of D7-brane worldvolume fields around our gravity backgrounds. In particular we focus on a scalar field saturating the Breitenlohner-Freedman bound in the flavorless limit, and coupled to fields dual to irrelevant operators. By looking at quasinormal modes of this scalar, we find no signals of instabilities in the regime of validity of the solutions.

[ { "created": "Wed, 17 Apr 2013 12:55:16 GMT", "version": "v1" } ]

2015-06-15

[ [ "Bigazzi", "Francesco", "" ], [ "Cotrone", "Aldo L.", "" ], [ "Tarrio", "Javier", "" ] ]

We study finite temperature N=4 Super Yang-Mills (and more general gauge theories realized on intersecting D3-D7 branes) in the presence of dynamical massless fundamental matter fields at finite baryon charge density. We construct the holographic dual charged black hole solutions at first order in the flavor backreaction but exact in the charge density. The thermodynamical properties of the dual gauge theories coincide with the ones found in the usual charged D7-probe limit and the system turns out to be thermodynamically stable. By analyzing the higher order correction in the flavor backreaction, we provide a novel argument for the un-reliability of the charged probe approximation (and the present solution) in the extremality limit, i.e. at zero temperature. We then consider scalar mesonic-like bound states, whose spectrum is dual to that of linearized fluctuations of D7-brane worldvolume fields around our gravity backgrounds. In particular we focus on a scalar field saturating the Breitenlohner-Freedman bound in the flavorless limit, and coupled to fields dual to irrelevant operators. By looking at quasinormal modes of this scalar, we find no signals of instabilities in the regime of validity of the solutions.

8.891822

8.428584

9.36901

8.372289

8.931994

8.695168

8.731357

8.691389

8.553973

10.861714

8.840465

8.718604

9.091558

8.520643

8.78727

8.687188

8.527716

8.484845

8.578778

9.260536

8.662181

0710.5203

Robert Oeckl

Daniele Colosi (UNAM), Robert Oeckl (UNAM)

S-matrix at spatial infinity

4 pages, LaTeX + revtex4; v2: normalization factors corrected; v3: two paragraphs added, minor corrections and enhancements, reference list updated; v4: references corrected/updated

Phys.Lett.B665:310-313,2008

10.1016/j.physletb.2008.06.011

UNAM-IM-MOR-2007-1

hep-th gr-qc

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

We provide a new method to construct the S-matrix in quantum field theory. This method implements crossing symmetry manifestly by erasing the a priori distinction between in- and out-states. It allows the description of processes where the interaction weakens with distance in space, but remains strong in the center at all times. It should also be applicable to certain spacetimes where the conventional method fails due to lack of temporal asymptotic states.

[ { "created": "Sat, 27 Oct 2007 01:35:28 GMT", "version": "v1" }, { "created": "Mon, 26 Nov 2007 00:59:04 GMT", "version": "v2" }, { "created": "Thu, 19 Jun 2008 19:40:10 GMT", "version": "v3" }, { "created": "Wed, 16 Jul 2008 17:11:20 GMT", "version": "v4" } ]

2008-11-26

[ [ "Colosi", "Daniele", "", "UNAM" ], [ "Oeckl", "Robert", "", "UNAM" ] ]

We provide a new method to construct the S-matrix in quantum field theory. This method implements crossing symmetry manifestly by erasing the a priori distinction between in- and out-states. It allows the description of processes where the interaction weakens with distance in space, but remains strong in the center at all times. It should also be applicable to certain spacetimes where the conventional method fails due to lack of temporal asymptotic states.

13.846816

14.149954

13.744108

13.134312

14.701926

14.908542

15.403075

13.763947

12.844085

13.350056

13.955408

13.809447

13.073461

12.921705

13.914836

13.955622

13.87144

13.804853

13.225978

13.522988

13.546756

hep-th/9710132

Mitsuo Abe

Mitsuo Abe and Noboru Nakanishi

Question on D=26 --- String Theory versus Quantum Gravity ---

23 pages, LaTeX, two stylefiles included

Int.J.Mod.Phys. A13 (1998) 3081-3100

10.1142/S0217751X98001529

RIMS-1164

hep-th

null

In the covariant-gauge two-dimensional quantum gravity, various derivations of the critical dimension D=26 of the bosonic string are critically reviewed, and their interrelations are clarified. It is shown that the string theory is not identical with the proper framework of the two-dimensional quantum gravity, but the former should be regarded as a particular aspect of the latter. The appearance of various anomalies is shown to be explainable in terms of a new type of anomaly in a unified way.

[ { "created": "Thu, 16 Oct 1997 08:18:08 GMT", "version": "v1" } ]

2009-10-30

[ [ "Abe", "Mitsuo", "" ], [ "Nakanishi", "Noboru", "" ] ]

In the covariant-gauge two-dimensional quantum gravity, various derivations of the critical dimension D=26 of the bosonic string are critically reviewed, and their interrelations are clarified. It is shown that the string theory is not identical with the proper framework of the two-dimensional quantum gravity, but the former should be regarded as a particular aspect of the latter. The appearance of various anomalies is shown to be explainable in terms of a new type of anomaly in a unified way.

10.046686

9.078751

10.626399

9.568802

9.642346

9.59006

9.363776

9.527502

10.134316

10.64447

9.24891

9.333525

9.099854

9.034775

9.122355

9.099733

9.164052

9.36708

8.872684

9.127523

9.389546

2207.02225

Stefano Antonini

Stefano Antonini, Petar Simidzija, Brian Swingle, Mark Van Raamsdonk

Can one hear the shape of a wormhole?

37 Pages + appendices, 4 Figures

null

10.1007/JHEP09(2022)241

null

hep-th gr-qc

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

A large class of flat big bang - big crunch cosmologies with negative cosmological constant are related by analytic continuation to asymptotically AdS traversable wormholes with planar cross section. In recent works (arXiv: 2102.05057, 2203.11220) it was suggested that such wormhole geometries may be dual to a pair of 3D holographic CFTs coupled via auxiliary degrees of freedom to give a theory that confines in the infrared. In this paper, we explore signatures of the presence of such a wormhole in the state of the coupled pair of 3D theories. We explain how the wormhole geometry is reflected in the spectrum of the confining theory and the behavior of two-point functions and entanglement entropies. We provide explicit algorithms to reconstruct the wormhole scale factor (which uniquely determines its geometry) from entanglement entropies, heavy operator two-point functions, or light operator two-point functions (which contain the spectrum information). In the last case, the physics of the bulk scalar field dual to the light operator is closely related to the quantum mechanics of a one-dimensional particle in a potential derived from the scale factor, and the problem of reconstructing the scale factor from the two-point function is directly related to the problem of reconstructing this Schr\"odinger potential from its spectrum.

[ { "created": "Tue, 5 Jul 2022 18:00:02 GMT", "version": "v1" } ]

2022-10-19

[ [ "Antonini", "Stefano", "" ], [ "Simidzija", "Petar", "" ], [ "Swingle", "Brian", "" ], [ "Van Raamsdonk", "Mark", "" ] ]

A large class of flat big bang - big crunch cosmologies with negative cosmological constant are related by analytic continuation to asymptotically AdS traversable wormholes with planar cross section. In recent works (arXiv: 2102.05057, 2203.11220) it was suggested that such wormhole geometries may be dual to a pair of 3D holographic CFTs coupled via auxiliary degrees of freedom to give a theory that confines in the infrared. In this paper, we explore signatures of the presence of such a wormhole in the state of the coupled pair of 3D theories. We explain how the wormhole geometry is reflected in the spectrum of the confining theory and the behavior of two-point functions and entanglement entropies. We provide explicit algorithms to reconstruct the wormhole scale factor (which uniquely determines its geometry) from entanglement entropies, heavy operator two-point functions, or light operator two-point functions (which contain the spectrum information). In the last case, the physics of the bulk scalar field dual to the light operator is closely related to the quantum mechanics of a one-dimensional particle in a potential derived from the scale factor, and the problem of reconstructing the scale factor from the two-point function is directly related to the problem of reconstructing this Schr\"odinger potential from its spectrum.

8.263436

7.544737

8.308391

7.192822

7.598575

8.017011

7.779069

7.529615

7.481102

9.734788

7.360387

7.472579

7.634833

7.588629

7.623588

7.525093

7.596007

7.566916

7.216245

7.837238

7.562662

hep-th/0608110

Bibhuti Bhusan Deo

B. B. Deo, P. K. Jena, L Maharana

Quantising Gravity Using Physical States of a Superstring

14 pages

Grav.Cosmol.15:97-108,2009; Erratum-ibid.15:286,2009

10.1134/S0202289309020017 10.1134/S0202289309030141

null

hep-th

null

A symmetric zero mass tensor of rank two is constructed using the superstring modes of excitation which satisfies the physical state constraints of a superstring. These states have one to one correspondence with quantised operators and are shown to be the absorption and emission quanta of the Minkowski space Lorentz tensors using the Gupta-Bleuler method of quantisation. The principle of equivalence makes the tensor identical to the metric tensor at any arbitrary space-time point. The propagator for the quantised field is deduced. The gravitational interaction is switched on by going over from ordinary derivatives to coderivatives.The Riemann-Christoffel affine connections are calculated and the weak field Ricci tensor $R^{0}_{\mu \nu}$ is shown to vanish. The interaction part $R^{int}_{\mu \nu}$ is found out and the exact $R_{\mu \nu}$ of theory of gravity is expressed in terms of the quantised metric. The quantum mechanical self energy of the gravitational field, in vacuum, is shown to vanish. It is suggested that quantum gravity may be renormalisable by the use of the physical ground states of the superstring theory.

[ { "created": "Wed, 16 Aug 2006 12:43:23 GMT", "version": "v1" }, { "created": "Sun, 3 Sep 2006 17:02:35 GMT", "version": "v2" }, { "created": "Sat, 11 Nov 2006 17:14:53 GMT", "version": "v3" }, { "created": "Thu, 4 Jan 2007 09:37:13 GMT", "version": "v4" }, { "created": "Wed, 14 Feb 2007 16:32:30 GMT", "version": "v5" }, { "created": "Sat, 26 May 2007 11:09:09 GMT", "version": "v6" } ]

2014-11-18

[ [ "Deo", "B. B.", "" ], [ "Jena", "P. K.", "" ], [ "Maharana", "L", "" ] ]

A symmetric zero mass tensor of rank two is constructed using the superstring modes of excitation which satisfies the physical state constraints of a superstring. These states have one to one correspondence with quantised operators and are shown to be the absorption and emission quanta of the Minkowski space Lorentz tensors using the Gupta-Bleuler method of quantisation. The principle of equivalence makes the tensor identical to the metric tensor at any arbitrary space-time point. The propagator for the quantised field is deduced. The gravitational interaction is switched on by going over from ordinary derivatives to coderivatives.The Riemann-Christoffel affine connections are calculated and the weak field Ricci tensor $R^{0}_{\mu \nu}$ is shown to vanish. The interaction part $R^{int}_{\mu \nu}$ is found out and the exact $R_{\mu \nu}$ of theory of gravity is expressed in terms of the quantised metric. The quantum mechanical self energy of the gravitational field, in vacuum, is shown to vanish. It is suggested that quantum gravity may be renormalisable by the use of the physical ground states of the superstring theory.

12.367781

13.69776

12.328619

11.843098

13.059122

12.731969

13.030757

13.026814

12.215222

12.871648

12.472313

12.410552

12.143867

11.522278

12.245215

11.708399

11.522954

11.706678

11.733798

11.742726

11.822001

hep-th/9510081

null

R. Brustein, M. Gasperini, M. Giovannini and G. Veneziano

Gravitational Radiation from String Cosmology

4 pages, uuencoded ps

null

CERN-TH/95-269

hep-th astro-ph gr-qc

null

A spectrum of relic stochastic gravitational radiation, strongly tilted towards high frequencies, and characterized by two basic parameters is shown to emerge in a class of string theory models. We estimate the required sensitivity for detection of the predicted gravitational radiation and show that a region of our parameter space is within reach for some of the plannedgravitational-wave detectors.

[ { "created": "Thu, 12 Oct 1995 12:53:18 GMT", "version": "v1" } ]

2007-05-23

[ [ "Brustein", "R.", "" ], [ "Gasperini", "M.", "" ], [ "Giovannini", "M.", "" ], [ "Veneziano", "G.", "" ] ]

A spectrum of relic stochastic gravitational radiation, strongly tilted towards high frequencies, and characterized by two basic parameters is shown to emerge in a class of string theory models. We estimate the required sensitivity for detection of the predicted gravitational radiation and show that a region of our parameter space is within reach for some of the plannedgravitational-wave detectors.

21.76886

16.712383

15.511522

15.749115

17.569231

17.252916

16.890289

13.690414

16.177814

16.461584

17.800575

18.462751

16.360844

16.129728

16.668396

17.914337

17.998499

16.934647

17.012188

17.007305

18.746613

1012.1454

Jens Mund

An Algebraic Jost-Schroer Theorem for Massive Theories

21 pages. The second (and crucial) hypothesis of the theorem has been relaxed and clarified, thanks to the stimulus of an anonymous referee. (The polarization-free generators associated with wedge regions, which always exist, are assumed to be temperate.)

Commun. Math. Phys. 315 (2012) 445-464

10.1007/s00220-012-1546-4

null

hep-th math-ph math.MP

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

We consider a purely massive local relativistic quantum theory specified by a family of von Neumann algebras indexed by the space-time regions. We assume that, affiliated with the algebras associated to wedge regions, there are operators which create only single particle states from the vacuum (so-called polarization-free generators) and are well-behaved under the space-time translations. Strengthening a result of Borchers, Buchholz and Schroer, we show that then the theory is unitarily equivalent to that of a free field for the corresponding particle type. We admit particles with any spin and localization of the charge in space-like cones, thereby covering the case of string-localized covariant quantum fields.

[ { "created": "Tue, 7 Dec 2010 10:44:54 GMT", "version": "v1" }, { "created": "Thu, 9 Dec 2010 14:03:58 GMT", "version": "v2" }, { "created": "Tue, 14 Dec 2010 23:13:16 GMT", "version": "v3" }, { "created": "Fri, 13 Jan 2012 12:27:47 GMT", "version": "v4" } ]

2012-09-28

[ [ "Mund", "Jens", "" ] ]

We consider a purely massive local relativistic quantum theory specified by a family of von Neumann algebras indexed by the space-time regions. We assume that, affiliated with the algebras associated to wedge regions, there are operators which create only single particle states from the vacuum (so-called polarization-free generators) and are well-behaved under the space-time translations. Strengthening a result of Borchers, Buchholz and Schroer, we show that then the theory is unitarily equivalent to that of a free field for the corresponding particle type. We admit particles with any spin and localization of the charge in space-like cones, thereby covering the case of string-localized covariant quantum fields.

9.66452

9.46105

11.653841

10.453661

10.295354

10.166301

10.9329

9.971415

10.540429

13.414404

8.78346

10.393574

10.405554

10.183483

10.567975

10.261719

9.961346

9.778999

10.412443

10.768758

9.662898

hep-th/9812219

Chong-Sun Chu

Chong-Sun Chu and Pei-Ming Ho

Noncommutative Open String and D-brane

LaTex, 19 pages. v2: two references added; more results added in sec. 4 which extends the agreement with Matrix model for the D2 case (original version) to the general Dp case (v2) for any value of p. v3: further clarifying remarks added in sec. 3 in response to the referee suggestion for clearer presentation; final version to appear in NPB

Nucl.Phys. B550 (1999) 151-168

10.1016/S0550-3213(99)00199-6

NEIP-98-022

hep-th

null

In this paper we consider the quantization of open strings ending on D-branes with a background B field. We find that spacetime coordinates of the open string end-points become noncommutative, and correspondingly the D-brane worldvolume also becomes noncommutative. This provides a string theory derivation and generalization of the noncommutativity obtained previously in the Matrix model compactification. For Dp-branes with p>=2 our results are new and agree with that of Matrix theory for the case of A=0 (where $A$ is the worldvolume gauge field) if the T-duality radii are used.

[ { "created": "Wed, 23 Dec 1998 10:41:27 GMT", "version": "v1" }, { "created": "Tue, 12 Jan 1999 20:34:47 GMT", "version": "v2" }, { "created": "Tue, 30 Mar 1999 22:48:14 GMT", "version": "v3" } ]

2009-10-31

[ [ "Chu", "Chong-Sun", "" ], [ "Ho", "Pei-Ming", "" ] ]

In this paper we consider the quantization of open strings ending on D-branes with a background B field. We find that spacetime coordinates of the open string end-points become noncommutative, and correspondingly the D-brane worldvolume also becomes noncommutative. This provides a string theory derivation and generalization of the noncommutativity obtained previously in the Matrix model compactification. For Dp-branes with p>=2 our results are new and agree with that of Matrix theory for the case of A=0 (where $A$ is the worldvolume gauge field) if the T-duality radii are used.

8.072676

7.185492

8.443947

7.188433

7.43427

7.338629

7.351923

7.147987

7.106588

8.291195

7.21878

7.067792

8.501808

7.416728

7.442893

7.189746

7.085773

7.16776

7.498037

8.497334

7.246133

1506.01897

David Kastor

David Kastor and \c{C}etin \c{S}ent\"urk

Symmetry Breaking Vacua in Lovelock Gravity

25 pages, 16 figures; v2 - references added; v3 - references added, additional minor changes

null

10.1088/0264-9381/32/18/185004

ACFI-T15-04

hep-th

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

Higher curvature Lovelock gravity theories can have a number of maximally symmetric vacua with different values of the curvature. Critical surfaces in the space of Lovelock couplings separate regions with different numbers of such vacua, and there exist symmetry breaking regions with no maximally symmetric vacua. Especially in such regimes, it is interesting to ask what reduced symmetry vacua may exist. We study this question, focusing on vacua that are products of maximally symmetric spaces. For low order Lovelock theories, we assemble a map of such vacua over the Lovelock coupling space, displaying different possibilities for vacuum symmetry breaking. We see indications of interesting structure, with e.g. product vacua in Gauss-Bonnet gravity covering the entirety of the symmetry breaking regime in $5$-dimensions, but only a limited portion of it in $6$-dimensions.

[ { "created": "Fri, 5 Jun 2015 13:15:03 GMT", "version": "v1" }, { "created": "Tue, 9 Jun 2015 19:31:43 GMT", "version": "v2" }, { "created": "Mon, 20 Jul 2015 12:42:52 GMT", "version": "v3" } ]

2015-09-23

[ [ "Kastor", "David", "" ], [ "Şentürk", "Çetin", "" ] ]

Higher curvature Lovelock gravity theories can have a number of maximally symmetric vacua with different values of the curvature. Critical surfaces in the space of Lovelock couplings separate regions with different numbers of such vacua, and there exist symmetry breaking regions with no maximally symmetric vacua. Especially in such regimes, it is interesting to ask what reduced symmetry vacua may exist. We study this question, focusing on vacua that are products of maximally symmetric spaces. For low order Lovelock theories, we assemble a map of such vacua over the Lovelock coupling space, displaying different possibilities for vacuum symmetry breaking. We see indications of interesting structure, with e.g. product vacua in Gauss-Bonnet gravity covering the entirety of the symmetry breaking regime in $5$-dimensions, but only a limited portion of it in $6$-dimensions.

8.948081

8.62396

8.974141

7.842231

9.010289

8.548818

8.429653

8.411925

7.883324

9.941441

8.172285

8.341376

8.615717

8.01572

8.301291

8.230227

8.245417

8.166142

8.33012

8.741549

8.138783

hep-th/0305067

O. I. Vasilenko

Trap Surface Formation in High-Energy Black Holes Collision

LaTeX 2e, 11 pages, 2 figures

null

hep-th

null

We investigate classical formation of a trap surface in $D$-dimensional Einstein gravity in the process of a head-on collision of two high-energy particles, which are treated as Aichelburg-Sexl shock waves. From the condition of the trap surface volume local maximality we deduce an explicit form of the inner trap surface. Imposing the continuity condition on the fronts we obtain a time-dependent solution for the trap surface. We discuss trap surface appearance and evolution.

[ { "created": "Thu, 8 May 2003 16:14:33 GMT", "version": "v1" }, { "created": "Sat, 10 May 2003 17:15:19 GMT", "version": "v2" } ]

2007-05-23

[ [ "Vasilenko", "O. I.", "" ] ]

We investigate classical formation of a trap surface in $D$-dimensional Einstein gravity in the process of a head-on collision of two high-energy particles, which are treated as Aichelburg-Sexl shock waves. From the condition of the trap surface volume local maximality we deduce an explicit form of the inner trap surface. Imposing the continuity condition on the fronts we obtain a time-dependent solution for the trap surface. We discuss trap surface appearance and evolution.

18.359728

15.338233

16.778461

13.72741

14.962069

13.486866

13.835485

13.881468

14.935407

15.9443

14.500921

15.25964

15.955165

15.576922

15.971138

15.564507

15.527614

16.044029

15.676073

15.24424

15.078983

0807.3957

Anosh Joseph

Anosh Joseph, S. G. Rajeev

Hamilton-Jacobi formalism for string gas thermodynamics

v2: 8 pages, 2 figures, references added

Phys.Rev.D79:063525,2009

10.1103/PhysRevD.79.063525

SU-4252-877

hep-th

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

We show that the thermodynamics of a system of strings at high energy densities under the ideal gas approximation has a formulation in terms of Hamilton-Jacobi theory. The two parameters of the system, which have dimensions of energy density and number density, respectively, define a family of hypersurfaces of co-dimension one, which can be described by the vanishing of a function F that plays the role of a Hamiltonian.

[ { "created": "Fri, 25 Jul 2008 18:06:21 GMT", "version": "v1" }, { "created": "Fri, 27 Mar 2009 19:22:28 GMT", "version": "v2" } ]

2009-11-13

[ [ "Joseph", "Anosh", "" ], [ "Rajeev", "S. G.", "" ] ]

We show that the thermodynamics of a system of strings at high energy densities under the ideal gas approximation has a formulation in terms of Hamilton-Jacobi theory. The two parameters of the system, which have dimensions of energy density and number density, respectively, define a family of hypersurfaces of co-dimension one, which can be described by the vanishing of a function F that plays the role of a Hamiltonian.

9.535956

8.144209

8.48294

8.272149

7.685226

8.155915

7.706356

8.022428

7.780198

9.191312

8.199097

8.288366

8.462561

8.535169

8.508043

8.787113

8.198529

8.36567

8.754462

8.786065

8.251743

1908.02782

Ashoke Sen

Fixing an Ambiguity in Two Dimensional String Theory Using String Field Theory

LaTeX file, 15 pages; v2: references added

null

10.1007/JHEP03(2020)005

null

hep-th gr-qc

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

In a recent paper, Balthazar, Rodriguez and Yin found some remarkable agreement between the results of c=1 matrix model and D-instanton corrections in two dimensional string theory. Their analysis left undetermined two constants in the string theory computation which had to be fixed by comparing the results with the matrix model results. One of these constants is affected by possible renormalization of the D-instanton action that needs to be computed separately. In this paper we fix the other constant by reformulating the world-sheet analysis in the language of string field theory.

[ { "created": "Wed, 7 Aug 2019 18:11:37 GMT", "version": "v1" }, { "created": "Sat, 18 Jan 2020 08:10:04 GMT", "version": "v2" } ]

2020-03-18

[ [ "Sen", "Ashoke", "" ] ]

In a recent paper, Balthazar, Rodriguez and Yin found some remarkable agreement between the results of c=1 matrix model and D-instanton corrections in two dimensional string theory. Their analysis left undetermined two constants in the string theory computation which had to be fixed by comparing the results with the matrix model results. One of these constants is affected by possible renormalization of the D-instanton action that needs to be computed separately. In this paper we fix the other constant by reformulating the world-sheet analysis in the language of string field theory.

11.149835

8.131809

12.496103

8.432709

9.27076

8.179692

8.580241

8.952885

8.083933

11.330556

8.400339

8.894666

10.93272

9.278123

9.053015

9.046043

8.910465

9.136856

9.146137

11.062132

9.175858

1908.01730

Jose Ramon Espinosa

J.R. Espinosa

Tunneling Without Bounce

28 pages

Phys. Rev. D 100, 105002 (2019)

10.1103/PhysRevD.100.105002

IFT-UAM/CSIC-19-114

hep-th hep-ph

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

The false vacua of some potentials do not decay via Euclidean bounces. This typically happens for tunneling actions with a flat direction (in field configuration space) that is lifted by a perturbation into a sloping valley, pushing the bounce off to infinity. Using three different approaches we find a consistent picture for such decays. In the Euclidean approach the bottom of the action valley consists of a family of pseudo-bounces (field configurations with some key good properties of bounces except extremizing the action). The pseudo-bounce result is validated by minimizing a WKB action in Minkowski space along appropriate paths in configuration space. Finally, the simplest approach uses the tunneling action method proposed recently with a simple modification of boundary conditions.

[ { "created": "Mon, 5 Aug 2019 17:11:29 GMT", "version": "v1" } ]

2019-11-13

[ [ "Espinosa", "J. R.", "" ] ]

The false vacua of some potentials do not decay via Euclidean bounces. This typically happens for tunneling actions with a flat direction (in field configuration space) that is lifted by a perturbation into a sloping valley, pushing the bounce off to infinity. Using three different approaches we find a consistent picture for such decays. In the Euclidean approach the bottom of the action valley consists of a family of pseudo-bounces (field configurations with some key good properties of bounces except extremizing the action). The pseudo-bounce result is validated by minimizing a WKB action in Minkowski space along appropriate paths in configuration space. Finally, the simplest approach uses the tunneling action method proposed recently with a simple modification of boundary conditions.

21.438021

23.292866

21.336771

18.239885

20.421631

23.609615

23.906376

20.590191

20.429953

25.376905

21.814415

20.096756

20.562204

20.581343

20.78244

20.539701

21.260925

21.640495

20.09425

21.262123

20.50803

0907.4755

Benjamin Burrington

Gaetano Bertoldi, Benjamin A. Burrington and Amanda W. Peet

Thermodynamics of black branes in asymptotically Lifshitz spacetimes

8 pages, references added and regrouped

Phys.Rev.D80:126004,2009

10.1103/PhysRevD.80.126004

null

hep-th

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

Recently, a class of gravitational backgrounds in 3+1 dimensions have been proposed as holographic duals to a Lifshitz theory describing critical phenomena in 2+1 dimensions with critical exponent $z\geq 1$. We continue our earlier work \cite{Bertoldi:2009vn}, exploring the thermodynamic properties of the "black brane" solutions with horizon topology $\mathbb{R}^2$. We find that the black branes satisfy the relation $\mathcal{E}=\frac{2}{2+z}Ts$ where $\mathcal{E}$ is the energy density, $T$ is the temperature, and $s$ is the entropy density. This matches the expected behavior for a 2+1 dimensional theory with a scaling symmetry $(x_1,x_2)\to \lambda (x_1,x_2)$, $t\to \lambda^z t$.

[ { "created": "Mon, 27 Jul 2009 20:01:48 GMT", "version": "v1" }, { "created": "Thu, 8 Oct 2009 16:33:47 GMT", "version": "v2" } ]

2009-12-14

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

Recently, a class of gravitational backgrounds in 3+1 dimensions have been proposed as holographic duals to a Lifshitz theory describing critical phenomena in 2+1 dimensions with critical exponent $z\geq 1$. We continue our earlier work \cite{Bertoldi:2009vn}, exploring the thermodynamic properties of the "black brane" solutions with horizon topology $\mathbb{R}^2$. We find that the black branes satisfy the relation $\mathcal{E}=\frac{2}{2+z}Ts$ where $\mathcal{E}$ is the energy density, $T$ is the temperature, and $s$ is the entropy density. This matches the expected behavior for a 2+1 dimensional theory with a scaling symmetry $(x_1,x_2)\to \lambda (x_1,x_2)$, $t\to \lambda^z t$.

4.127069

3.890453

4.927897

4.31646

4.182575

3.99613

4.021094

3.784411

3.944856

5.020247

3.75962

3.712589

4.204488

3.920265

3.748935

3.919504

3.867883

3.867897

3.898369

4.194993

3.838061

1811.03109

Jeff Murugan

Jeff Murugan, Jonathan P. Shock and Ruach Pillay Slayen

Astrophysical Quantum Matter: Spinless charged particles on a magnetic dipole sphere

4+1 pages, 3 figures

null

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

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

We consider the quantum mechanics of a spinless charged particle on a 2-dimensional sphere. When threaded with a magnetic monopole field, this is the well-known Haldane sphere that furnishes a translationally-invariant, incompressible quantum fluid state of a gas of electrons confined to the sphere. This letter presents the results of a novel variant of the Haldane solution where the monopole field is replaced by that of a dipole. We argue that this system is relevant to the physics on the surface of compact astrophysical objects like neutron stars.

[ { "created": "Wed, 7 Nov 2018 19:00:09 GMT", "version": "v1" } ]

2018-11-09

[ [ "Murugan", "Jeff", "" ], [ "Shock", "Jonathan P.", "" ], [ "Slayen", "Ruach Pillay", "" ] ]

We consider the quantum mechanics of a spinless charged particle on a 2-dimensional sphere. When threaded with a magnetic monopole field, this is the well-known Haldane sphere that furnishes a translationally-invariant, incompressible quantum fluid state of a gas of electrons confined to the sphere. This letter presents the results of a novel variant of the Haldane solution where the monopole field is replaced by that of a dipole. We argue that this system is relevant to the physics on the surface of compact astrophysical objects like neutron stars.

9.419929

9.093918

10.014117

8.494472

8.501304

8.629436

9.952932

9.174438

8.839463

9.872072

8.610614

8.821742

9.139202

8.96903

8.605136

9.126553

9.299693

9.114595

9.217509

8.751999

9.184046

1903.05033

Gleb Kotousov

Vladimir V. Bazhanov, Gleb A. Kotousov, Sergii M. Koval and Sergei L. Lukyanov

On the scaling behaviour of the alternating spin chain

30 pages, 14 figures, v2: published version + misprints corrected

null

10.1007/JHEP08(2019)087

null

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

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

In this note we report the results of our study of a 1D integrable spin chain whose critical behaviour is governed by a CFT possessing a continuous spectrum of scaling dimensions. It is argued that the computation of the density of Bethe states of the continuous theory can be reduced to the calculation of the connection coefficients for a certain class of differential equations whose monodromy properties are similar to those of the conventional confluent hypergeometric equation. The finite size corrections to the scaling are also discussed.

[ { "created": "Tue, 12 Mar 2019 16:35:09 GMT", "version": "v1" }, { "created": "Wed, 21 Oct 2020 09:32:17 GMT", "version": "v2" } ]

2020-10-22

[ [ "Bazhanov", "Vladimir V.", "" ], [ "Kotousov", "Gleb A.", "" ], [ "Koval", "Sergii M.", "" ], [ "Lukyanov", "Sergei L.", "" ] ]

In this note we report the results of our study of a 1D integrable spin chain whose critical behaviour is governed by a CFT possessing a continuous spectrum of scaling dimensions. It is argued that the computation of the density of Bethe states of the continuous theory can be reduced to the calculation of the connection coefficients for a certain class of differential equations whose monodromy properties are similar to those of the conventional confluent hypergeometric equation. The finite size corrections to the scaling are also discussed.

8.810824

8.951039

10.30529

8.451953

9.319416

8.46896

8.74099

8.964558

8.561562

12.817982

8.565076

8.148972

9.233101

8.363192

7.93926

8.793365

8.49235

8.382747

8.699228

8.995236

8.120683

hep-th/0606103

Mikhail V. Ioffe

M.V.Ioffe, J.Negro, L.M.Nieto, D.N.Nishnianidze

New Two-Dimensional Integrable Quantum Models from SUSY Intertwining

18 pages

J.Phys.A39:9297-9308,2006

10.1088/0305-4470/39/29/020

null

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

null

Supersymmetrical intertwining relations of second order in the derivatives are investigated for the case of supercharges with deformed hyperbolic metric $g_{ik}=diag(1,-a^2)$. Several classes of particular solutions of these relations are found. The corresponding Hamiltonians do not allow the conventional separation of variables, but they commute with symmetry operators of fourth order in momenta. For some of these models the specific SUSY procedure of separation of variables is applied.

[ { "created": "Mon, 12 Jun 2006 10:51:24 GMT", "version": "v1" } ]

2009-11-11

[ [ "Ioffe", "M. V.", "" ], [ "Negro", "J.", "" ], [ "Nieto", "L. M.", "" ], [ "Nishnianidze", "D. N.", "" ] ]

Supersymmetrical intertwining relations of second order in the derivatives are investigated for the case of supercharges with deformed hyperbolic metric $g_{ik}=diag(1,-a^2)$. Several classes of particular solutions of these relations are found. The corresponding Hamiltonians do not allow the conventional separation of variables, but they commute with symmetry operators of fourth order in momenta. For some of these models the specific SUSY procedure of separation of variables is applied.

13.434228

10.62403

13.74618

11.884027

13.785094

10.498124

11.348277

9.671618

12.04168

15.744881

10.442436

11.772022

13.343052

11.636782

12.368453

12.191917

11.244624

11.483291

11.683814

13.588819

11.506345

hep-th/0509118

Nicolas Boulanger

Nicolas Boulanger, Sandrine Cnockaert and Serge Leclercq

Parity violating vertices for spin-3 gauge fields

27 pages, 1 table, revtex4, typos corrected

Phys.Rev.D73:065019,2006

10.1103/PhysRevD.73.065019

null

hep-th

null

The problem of constructing consistent parity-violating interactions for spin-3 gauge fields is considered in Minkowski space. Under the assumptions of locality, Poincar\'e invariance and parity non-invariance, we classify all the nontrivial perturbative deformations of the abelian gauge algebra. In space-time dimensions $n=3$ and $n=5$, deformations of the free theory are obtained which make the gauge algebra non-abelian and give rise to nontrivial cubic vertices in the Lagrangian, at first order in the deformation parameter $g$. At second order in $g$, consistency conditions are obtained which the five-dimensional vertex obeys, but which rule out the $n=3$ candidate. Moreover, in the five-dimensional first order deformation case, the gauge transformations are modified by a new term which involves the second de Wit--Freedman connection in a simple and suggestive way.

[ { "created": "Thu, 15 Sep 2005 15:38:11 GMT", "version": "v1" }, { "created": "Thu, 22 Sep 2005 15:10:17 GMT", "version": "v2" }, { "created": "Thu, 23 Mar 2006 16:04:48 GMT", "version": "v3" } ]

2008-11-26

[ [ "Boulanger", "Nicolas", "" ], [ "Cnockaert", "Sandrine", "" ], [ "Leclercq", "Serge", "" ] ]

The problem of constructing consistent parity-violating interactions for spin-3 gauge fields is considered in Minkowski space. Under the assumptions of locality, Poincar\'e invariance and parity non-invariance, we classify all the nontrivial perturbative deformations of the abelian gauge algebra. In space-time dimensions $n=3$ and $n=5$, deformations of the free theory are obtained which make the gauge algebra non-abelian and give rise to nontrivial cubic vertices in the Lagrangian, at first order in the deformation parameter $g$. At second order in $g$, consistency conditions are obtained which the five-dimensional vertex obeys, but which rule out the $n=3$ candidate. Moreover, in the five-dimensional first order deformation case, the gauge transformations are modified by a new term which involves the second de Wit--Freedman connection in a simple and suggestive way.

8.640388

7.671726

9.716702

7.329606

7.64107

7.865156

8.194824

7.70138

7.915329

9.0523

7.614468

7.730499

8.670035

8.0444

7.957749

7.878733

7.620199

7.66795

7.895811

8.521635

7.758864

2207.02868

Daniel Hasenbichler

In\^es Aniceto, Daniel Hasenbichler, Adri Olde Daalhuis

The late to early time behaviour of an expanding plasma: hydrodynamisation from exponential asymptotics

12 pages, 4 figures, 6 appendices spanning 4 pages

null

10.1088/1751-8121/acc61d

null

hep-th math-ph math.MP

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

We use exponential asymptotics to match the late time temperature evolution of an expanding, conformally invariant fluid to its early time behaviour. We show that the rich divergent transseries asymptotics at late times can be used to interpolate between the two regimes with exponential accuracy using the well-established methods of hyperasymptotics, Borel resummation and transasymptotics. This approach is generic and can be applied to any interpolation problem involving a local asymptotic transseries expansion as well as knowledge of the solution in a second region away from the expansion point. Moreover, we present global analytical properties of the solutions such as analytic approximations to the locations of the square-root branch points, exemplifying how the summed transseries contains within itself information about the observable in regions with different asymptotics.

[ { "created": "Wed, 6 Jul 2022 18:00:01 GMT", "version": "v1" } ]

2023-05-03

[ [ "Aniceto", "Inês", "" ], [ "Hasenbichler", "Daniel", "" ], [ "Daalhuis", "Adri Olde", "" ] ]

We use exponential asymptotics to match the late time temperature evolution of an expanding, conformally invariant fluid to its early time behaviour. We show that the rich divergent transseries asymptotics at late times can be used to interpolate between the two regimes with exponential accuracy using the well-established methods of hyperasymptotics, Borel resummation and transasymptotics. This approach is generic and can be applied to any interpolation problem involving a local asymptotic transseries expansion as well as knowledge of the solution in a second region away from the expansion point. Moreover, we present global analytical properties of the solutions such as analytic approximations to the locations of the square-root branch points, exemplifying how the summed transseries contains within itself information about the observable in regions with different asymptotics.

15.499323

16.81988

15.55345

14.560409

16.298166

16.551344

17.182491

16.78796

16.095089

17.612137

15.160859

15.087564

14.508817

14.634291

14.867424

15.125611

15.054043

14.829088

13.894279

14.386922

14.753968

hep-th/0012217

Steven Corley

Steve Corley, Sanjaye Ramgoolam

Projector Equivalences in K theory and Families of Non-commutative Solitons

24 pages in Harvmac big

JHEP 0103:037,2001

10.1088/1126-6708/2001/03/037

Brown-het-1250

hep-th

null

Projector equivalences used in the definition of the K-theory of operator algebras are shown to lead to generalizations of the solution generating technique for solitons in NC field theories, which has recently been used in the construction of branes from other branes in B-field backgrounds and in the construction of fluxon solutions of gauge theories. The generalizations involve families of static solutions as well as solutions which depend on euclidean time and interpolate between different configurations. We investigate the physics of these generalizations in the brane-construction as well as the fluxon context. These results can be interpreted in the light of recent discussions on the topology of the configuration space of string fields.

[ { "created": "Thu, 21 Dec 2000 20:53:33 GMT", "version": "v1" } ]

2010-02-03

[ [ "Corley", "Steve", "" ], [ "Ramgoolam", "Sanjaye", "" ] ]

Projector equivalences used in the definition of the K-theory of operator algebras are shown to lead to generalizations of the solution generating technique for solitons in NC field theories, which has recently been used in the construction of branes from other branes in B-field backgrounds and in the construction of fluxon solutions of gauge theories. The generalizations involve families of static solutions as well as solutions which depend on euclidean time and interpolate between different configurations. We investigate the physics of these generalizations in the brane-construction as well as the fluxon context. These results can be interpreted in the light of recent discussions on the topology of the configuration space of string fields.

13.321342

12.792376

14.176219

12.745746

12.552967

14.500759

12.829698

12.102742

12.463288

14.071456

13.318172

12.264429

12.677077

12.250861

12.59776

11.847371

12.034924

12.010009

12.291574

12.611094

12.470222

2004.04082

Marcus Sperling

Antoine Bourget, Julius F. Grimminger, Amihay Hanany, Marcus Sperling, Zhenghao Zhong

Magnetic Quivers from Brane Webs with O5 Planes

v2: 83 pages, 13 tables, matches JHEP version

null

10.1007/JHEP07(2020)204

Imperial/TP/20/AH/03

hep-th

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

Magnetic quivers have led to significant progress in the understanding of gauge theories with 8 supercharges at UV fixed points. For a given low-energy gauge theory realised via a Type II brane construction, there exist magnetic quivers for the Higgs branches at finite and infinite gauge coupling. Comparing these moduli spaces allows to study the non-perturbative effects when transitioning to the fixed point. For 5d $\mathcal{N}=1$ SQCD, 5-brane webs have been an important tool for deriving magnetic quivers. In this work, the emphasis is placed on 5-brane webs with orientifold 5-planes which give rise to 5d theories with orthogonal or symplectic gauge groups. For this set-up, the magnetic quiver prescription is derived and contrasted against a unitary magnetic quiver description extracted from an O$7^-$ construction. Further validation is achieved by a derivation of the associated Hasse diagrams. An important class of families considered are the orthogonal exceptional $E_n$ families ($-\infty < n \leq 8$), realised as infinite coupling Higgs branches of $\mathrm{Sp}(k)$ gauge theories with fundamental matter. In particular, the moduli spaces are realised by a novel type of magnetic quivers, called unitary-orthosymplectic quivers.

[ { "created": "Wed, 8 Apr 2020 16:04:47 GMT", "version": "v1" }, { "created": "Wed, 12 Aug 2020 08:29:08 GMT", "version": "v2" } ]

2020-08-13

[ [ "Bourget", "Antoine", "" ], [ "Grimminger", "Julius F.", "" ], [ "Hanany", "Amihay", "" ], [ "Sperling", "Marcus", "" ], [ "Zhong", "Zhenghao", "" ] ]

Magnetic quivers have led to significant progress in the understanding of gauge theories with 8 supercharges at UV fixed points. For a given low-energy gauge theory realised via a Type II brane construction, there exist magnetic quivers for the Higgs branches at finite and infinite gauge coupling. Comparing these moduli spaces allows to study the non-perturbative effects when transitioning to the fixed point. For 5d $\mathcal{N}=1$ SQCD, 5-brane webs have been an important tool for deriving magnetic quivers. In this work, the emphasis is placed on 5-brane webs with orientifold 5-planes which give rise to 5d theories with orthogonal or symplectic gauge groups. For this set-up, the magnetic quiver prescription is derived and contrasted against a unitary magnetic quiver description extracted from an O$7^-$ construction. Further validation is achieved by a derivation of the associated Hasse diagrams. An important class of families considered are the orthogonal exceptional $E_n$ families ($-\infty < n \leq 8$), realised as infinite coupling Higgs branches of $\mathrm{Sp}(k)$ gauge theories with fundamental matter. In particular, the moduli spaces are realised by a novel type of magnetic quivers, called unitary-orthosymplectic quivers.

10.623181

9.03987

11.933745

8.966492

9.368728

9.703301

9.634332

9.149916

9.143738

12.736031

8.959953

9.302339

10.603657

9.548063

9.273461

9.728522

9.592702

9.519058

9.485165

10.288081

9.26799

hep-th/9903260

Hiroaki Kanno

H. Kanno

A Note on Higher Dimensional Instantons and Supersymmetric Cycles

14 pages, latex, Talk presented at the workshop on Gauge Theory and Integrable Models (YITP, Kyoto), January 26-29, 1999, the title corrected

Prog.Theor.Phys.Suppl.135:18-28,1999

10.1143/PTPS.135.18

null

hep-th

null

We discuss instantons in dimensions higher than four. A generalized self-dual or anti-self-dual instanton equation in n-dimensions can be defined in terms of a closed (n-4) form $\Omega$ and it was recently employed as a topological gauge fixing condition in higher dimensional generalizations of cohomological Yang-Mills theory. When $\Omega$ is a calibration which is naturally introduced on the manifold of special holomony, we argue that higher dimensional instanton may be locally characterized as a family of four dimensional instantons over a supersymmetric (n-4) cycle $\Sigma$ with respect to the calibration $\Omega$. This is an instanton configuration on the total space of the normal bundle $N(\Sigma)$ of the submanifold $\Sigma$ and regarded as a natural generalization of point-like instanton in four dimensions that plays a distinguished role in a compactification of instanton moduli space.

[ { "created": "Wed, 31 Mar 1999 08:23:23 GMT", "version": "v1" }, { "created": "Thu, 1 Apr 1999 06:04:33 GMT", "version": "v2" } ]

2008-11-26

[ [ "Kanno", "H.", "" ] ]

We discuss instantons in dimensions higher than four. A generalized self-dual or anti-self-dual instanton equation in n-dimensions can be defined in terms of a closed (n-4) form $\Omega$ and it was recently employed as a topological gauge fixing condition in higher dimensional generalizations of cohomological Yang-Mills theory. When $\Omega$ is a calibration which is naturally introduced on the manifold of special holomony, we argue that higher dimensional instanton may be locally characterized as a family of four dimensional instantons over a supersymmetric (n-4) cycle $\Sigma$ with respect to the calibration $\Omega$. This is an instanton configuration on the total space of the normal bundle $N(\Sigma)$ of the submanifold $\Sigma$ and regarded as a natural generalization of point-like instanton in four dimensions that plays a distinguished role in a compactification of instanton moduli space.

9.146723

9.103038

10.342019

9.352109

10.035808

9.432221

10.115784

9.37885

8.976165

11.115499

9.19584

8.823446

9.368156

8.747018

8.883029

9.105145

8.915126

9.159545

9.197075

9.711147

8.950394

1404.0008

Ahmet Emir Gumrukcuoglu

Antonio De Felice, A.Emir Gumrukcuoglu, Shinji Mukohyama, Norihiro Tanahashi, Takahiro Tanaka

Viable cosmology in bimetric theory

16 pp; v2: minor corrections/references added to match the published version

JCAP 1406 (2014) 037

10.1088/1475-7516/2014/06/037

IPMU14-0084, YITP-14-23, KUNS-2491

hep-th astro-ph.CO gr-qc

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

We study cosmological perturbations in bimetric theory with two fluids each of which is coupled to one of the two metrics. Focusing on a healthy branch of background solutions, we clarify the stability of the cosmological perturbations. For this purpose, we extend the condition for the absence of the so-called Higuchi ghost, and show that the condition is guaranteed to be satisfied on the healthy branch. We also calculate the squared propagation speeds of perturbations and derive the conditions for the absence of the gradient instability. To avoid the gradient instability, we find that the model parameters are weakly constrained.

[ { "created": "Mon, 31 Mar 2014 20:00:05 GMT", "version": "v1" }, { "created": "Tue, 17 Jun 2014 10:57:59 GMT", "version": "v2" } ]

2014-06-18

[ [ "De Felice", "Antonio", "" ], [ "Gumrukcuoglu", "A. Emir", "" ], [ "Mukohyama", "Shinji", "" ], [ "Tanahashi", "Norihiro", "" ], [ "Tanaka", "Takahiro", "" ] ]

We study cosmological perturbations in bimetric theory with two fluids each of which is coupled to one of the two metrics. Focusing on a healthy branch of background solutions, we clarify the stability of the cosmological perturbations. For this purpose, we extend the condition for the absence of the so-called Higuchi ghost, and show that the condition is guaranteed to be satisfied on the healthy branch. We also calculate the squared propagation speeds of perturbations and derive the conditions for the absence of the gradient instability. To avoid the gradient instability, we find that the model parameters are weakly constrained.

5.90459

6.506111

5.704275

5.505075

5.75165

5.951689

6.486126

5.763361

6.350852

6.013956

5.958724

5.985427

5.835298

5.760167

5.951048

6.048635

6.169905

5.737465

5.95434

5.965083

5.803458

2402.15562

H\'ector Parra De Freitas

Hector Parra De Freitas

Non-supersymmetric heterotic strings and chiral CFTs

38 pages, minor corrections

null

hep-th math-ph math.MP

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

Non-supersymmetric heterotic strings share various properties with their supersymmetric counterparts. Torus compactifications of the latter live in a component of the moduli space of string vacua with 16 supercharges, and various asymmetric orbifolds thereof realize vacua in other components, exhibiting qualitative differences such as rank reduction. We set out to study the analogous problem for non-supersymmetric heterotic strings, framing it in relation to chiral fermionic CFTs with central charge 24, which were classified recently. We find that for the case analogous to the so-called CHL string, which has gauge group rank reduced by 8, there are in total four non-supersymmetric versions. These include the well known $E_8$ string and three other constructions a la CHL, which can be distinguished qualitatively by how tachyons appear in their classical moduli spaces. We also discuss the classification problem for lower rank theories and the relationship between MSDS models and Scherk-Schwarz reductions.

[ { "created": "Fri, 23 Feb 2024 19:03:02 GMT", "version": "v1" }, { "created": "Tue, 13 Aug 2024 02:01:33 GMT", "version": "v2" } ]

2024-08-14

[ [ "De Freitas", "Hector Parra", "" ] ]

Non-supersymmetric heterotic strings share various properties with their supersymmetric counterparts. Torus compactifications of the latter live in a component of the moduli space of string vacua with 16 supercharges, and various asymmetric orbifolds thereof realize vacua in other components, exhibiting qualitative differences such as rank reduction. We set out to study the analogous problem for non-supersymmetric heterotic strings, framing it in relation to chiral fermionic CFTs with central charge 24, which were classified recently. We find that for the case analogous to the so-called CHL string, which has gauge group rank reduced by 8, there are in total four non-supersymmetric versions. These include the well known $E_8$ string and three other constructions a la CHL, which can be distinguished qualitatively by how tachyons appear in their classical moduli spaces. We also discuss the classification problem for lower rank theories and the relationship between MSDS models and Scherk-Schwarz reductions.

13.115573

11.851623

12.795691

11.831208

12.100204

12.276219

11.671027

11.722628

11.688075

15.040091

12.203529

12.284974

12.76523

11.749088

11.859189

12.003869

11.937649

12.152148

12.06843

12.685652

11.770731

1606.00708

Suvankar Dutta

Suvankar Dutta, Sachin Shain P

A Mean-Field Description for AdS Black Hole

6 pages, 1 figure

null

hep-th gr-qc

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

In this paper we find an equivalent mean-field description for asymptotically $AdS$ black hole in high temperature limit and in arbitrary dimensions. We obtain a class of mean-field potential for which the description is valid. We explicitly show that there is an one to one correspondence between the thermodynamics of a gas of interacting particles moving under a mean-field potential and an $AdS$ black hole, namely the equation of state, temperature, pressure, entropy and enthalpy of both the systems match. In $3+1$ dimensions, in particular, the mean-field description can be thought of as an ensemble of tiny interacting {\it asymptotically flat} black holes moving in volume $V$ and at temperature $T$. This motivates us to identify these asymptotically flat black holes as microstructure of asymptotically $AdS$ black holes in $3+1$ dimensions.

[ { "created": "Thu, 2 Jun 2016 14:50:03 GMT", "version": "v1" } ]

2016-06-03

[ [ "Dutta", "Suvankar", "" ], [ "P", "Sachin Shain", "" ] ]

In this paper we find an equivalent mean-field description for asymptotically $AdS$ black hole in high temperature limit and in arbitrary dimensions. We obtain a class of mean-field potential for which the description is valid. We explicitly show that there is an one to one correspondence between the thermodynamics of a gas of interacting particles moving under a mean-field potential and an $AdS$ black hole, namely the equation of state, temperature, pressure, entropy and enthalpy of both the systems match. In $3+1$ dimensions, in particular, the mean-field description can be thought of as an ensemble of tiny interacting {\it asymptotically flat} black holes moving in volume $V$ and at temperature $T$. This motivates us to identify these asymptotically flat black holes as microstructure of asymptotically $AdS$ black holes in $3+1$ dimensions.

7.987549

7.504252

7.013919

7.08629

7.309329

7.295216

7.349154

7.362997

6.97623

7.456406

7.293264

7.117402

6.908751

6.851693

6.887294

6.99845

6.910366

6.952954

7.089835

7.165229

6.932881

1510.06749

Sam Playle

Deforming super Riemann surfaces with gravitinos and super Schottky groups

46 pages, 6 figures

null

10.1007/JHEP12(2016)035

null

hep-th math-ph math.MP

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

The (super) Schottky uniformization of compact (super) Riemann surfaces is briefly reviewed. Deformations of super Riemann surface by gravitinos and Beltrami parameters are recast in terms of super Schottky group cohomology. It is checked that the super Schottky group formula for the period matrix of a non-split surface matches its expression in terms of a gravitino and Beltrami parameter on a split surface. The relationship between (super) Schottky groups and the construction of surfaces by gluing pairs of punctures is discussed in an appendix.

[ { "created": "Thu, 22 Oct 2015 20:11:36 GMT", "version": "v1" } ]

2017-01-04

[ [ "Playle", "Sam", "" ] ]

The (super) Schottky uniformization of compact (super) Riemann surfaces is briefly reviewed. Deformations of super Riemann surface by gravitinos and Beltrami parameters are recast in terms of super Schottky group cohomology. It is checked that the super Schottky group formula for the period matrix of a non-split surface matches its expression in terms of a gravitino and Beltrami parameter on a split surface. The relationship between (super) Schottky groups and the construction of surfaces by gluing pairs of punctures is discussed in an appendix.

9.612407

8.847878

9.772413

7.834212

8.367267

8.794939

9.003381

8.545178

8.503854

10.022628

8.17275

7.670124

8.935141

8.219926

8.065018

8.182722

8.171239

8.120228

8.374275

8.799916

8.069724

hep-th/0508154

Kurusch Ebrahimi-Fard

K. Ebrahimi-Fard, J.M. Gracia-Bondia, L. Guo, J.C. Varilly

Combinatorics of renormalization as matrix calculus

10 pages, revised version, typos corrected, to appear in Phys. Lett. B

Phys.Lett. B632 (2006) 552-558

10.1016/j.physletb.2005.11.001

null

hep-th math-ph math.MP

null

We give a simple presentation of the combinatorics of renormalization in perturbative quantum field theory in terms of triangular matrices. The prescription, that may be of calculational value, is derived from first principles, to wit, the ``Birkhoff decomposition'' in the Hopf-algebraic description of renormalization by Connes and Kreimer.

[ { "created": "Sun, 21 Aug 2005 19:31:01 GMT", "version": "v1" }, { "created": "Mon, 31 Oct 2005 22:39:06 GMT", "version": "v2" } ]

2007-05-23

[ [ "Ebrahimi-Fard", "K.", "" ], [ "Gracia-Bondia", "J. M.", "" ], [ "Guo", "L.", "" ], [ "Varilly", "J. C.", "" ] ]

We give a simple presentation of the combinatorics of renormalization in perturbative quantum field theory in terms of triangular matrices. The prescription, that may be of calculational value, is derived from first principles, to wit, the ``Birkhoff decomposition'' in the Hopf-algebraic description of renormalization by Connes and Kreimer.

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1903.10030

Tigran Hakobyan

On symmetries of generalized Calogero model and Polychronakos-Frahm chain

9 pages

Phys. Rev. D 99, 105011 (2019)

10.1103/PhysRevD.99.105011

null

hep-th cond-mat.str-el math-ph math.MP nlin.SI

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

The symmetry of the generalized Polychronakos-Frahm chain is obtained from the Dunkl-operator deformation of the unitary algebra, which describes the symmetry of the generalized Calogero model.

[ { "created": "Sun, 24 Mar 2019 17:56:32 GMT", "version": "v1" }, { "created": "Thu, 22 Aug 2019 10:29:47 GMT", "version": "v2" } ]

2019-08-23

[ [ "Hakobyan", "Tigran", "" ] ]

The symmetry of the generalized Polychronakos-Frahm chain is obtained from the Dunkl-operator deformation of the unitary algebra, which describes the symmetry of the generalized Calogero model.

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