LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/0511019

Lo\"ic Bervas

M.C. Berg\`ere

Correlation Functions of Complex Matrix Models

latex BMN.tex, 7 files, 6 figures, 30 pages (v2 for spelling mistake and added reference) [http://www-spht.cea.fr/articles/T05/174]

J.Phys.A39:8749-8774,2006

10.1088/0305-4470/39/28/S01

SPhT-T05/174

hep-th

null

For a restricted class of potentials (harmonic+Gaussian potentials), we express the resolvent integral for the correlation functions of simple traces of powers of complex matrices of size $N$, in term of a determinant; this determinant is function of four kernels constructed from the orthogonal polynomials corresponding to the potential and from their Cauchy transform. The correlation functions are a sum of expressions attached to a set of fully packed oriented loops configurations; for rotational invariant systems, explicit expressions can be written for each configuration and more specifically for the Gaussian potential, we obtain the large $N$ expansion ('t Hooft expansion) and the so-called BMN limit.

[ { "created": "Wed, 2 Nov 2005 13:14:08 GMT", "version": "v1" }, { "created": "Thu, 1 Dec 2005 13:53:59 GMT", "version": "v2" } ]

2009-11-11

[ [ "Bergère", "M. C.", "" ] ]

For a restricted class of potentials (harmonic+Gaussian potentials), we express the resolvent integral for the correlation functions of simple traces of powers of complex matrices of size $N$, in term of a determinant; this determinant is function of four kernels constructed from the orthogonal polynomials corresponding to the potential and from their Cauchy transform. The correlation functions are a sum of expressions attached to a set of fully packed oriented loops configurations; for rotational invariant systems, explicit expressions can be written for each configuration and more specifically for the Gaussian potential, we obtain the large $N$ expansion ('t Hooft expansion) and the so-called BMN limit.

19.565582

20.353205

21.708118

17.853571

19.767143

20.015566

20.852961

18.849195

20.171886

24.862019

19.041683

18.378286

20.815708

17.96966

18.466494

18.938736

18.85615

18.381361

18.33849

20.647867

18.431007

2009.08518

K\'evin Nguyen

Ben Craps, Marine De Clerck, Philip Hacker, K\'evin Nguyen, Charles Rabideau

Slow scrambling in extremal BTZ and microstate geometries

47 pages, 9 figures. Added references and fixed typos, match published version

J. High Energ. Phys. 2021, 20 (2021)

10.1007/JHEP03(2021)020

null

hep-th

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

Out-of-time-order correlators (OTOCs) that capture maximally chaotic properties of a black hole are determined by scattering processes near the horizon. This prompts the question to what extent OTOCs display chaotic behaviour in horizonless microstate geometries. This question is complicated by the fact that Lyapunov growth of OTOCs requires nonzero temperature, whereas constructions of microstate geometries have been mostly restricted to extremal black holes. In this paper, we compute OTOCs for a class of extremal black holes, namely maximally rotating BTZ black holes, and show that on average they display "slow scrambling", characterized by cubic (rather than exponential) growth. Superposed on this average power-law growth is a sawtooth pattern, whose steep parts correspond to brief periods of Lyapunov growth associated to the nonzero temperature of the right-moving degrees of freedom in a dual conformal field theory. Next we study the extent to which these OTOCs are modified in certain "superstrata", horizonless microstate geometries corresponding to these black holes. Rather than an infinite throat ending on a horizon, these geometries have a very deep but finite throat ending in a cap. We find that the superstrata display the same slow scrambling as maximally rotating BTZ black holes, except that for large enough time intervals the growth of the OTOC is cut off by effects related to the cap region, some of which we evaluate explicitly.

[ { "created": "Thu, 17 Sep 2020 20:28:40 GMT", "version": "v1" }, { "created": "Tue, 3 Nov 2020 00:15:55 GMT", "version": "v2" }, { "created": "Tue, 9 Mar 2021 19:43:35 GMT", "version": "v3" } ]

2021-03-11

[ [ "Craps", "Ben", "" ], [ "De Clerck", "Marine", "" ], [ "Hacker", "Philip", "" ], [ "Nguyen", "Kévin", "" ], [ "Rabideau", "Charles", "" ] ]

Out-of-time-order correlators (OTOCs) that capture maximally chaotic properties of a black hole are determined by scattering processes near the horizon. This prompts the question to what extent OTOCs display chaotic behaviour in horizonless microstate geometries. This question is complicated by the fact that Lyapunov growth of OTOCs requires nonzero temperature, whereas constructions of microstate geometries have been mostly restricted to extremal black holes. In this paper, we compute OTOCs for a class of extremal black holes, namely maximally rotating BTZ black holes, and show that on average they display "slow scrambling", characterized by cubic (rather than exponential) growth. Superposed on this average power-law growth is a sawtooth pattern, whose steep parts correspond to brief periods of Lyapunov growth associated to the nonzero temperature of the right-moving degrees of freedom in a dual conformal field theory. Next we study the extent to which these OTOCs are modified in certain "superstrata", horizonless microstate geometries corresponding to these black holes. Rather than an infinite throat ending on a horizon, these geometries have a very deep but finite throat ending in a cap. We find that the superstrata display the same slow scrambling as maximally rotating BTZ black holes, except that for large enough time intervals the growth of the OTOC is cut off by effects related to the cap region, some of which we evaluate explicitly.

7.75191

8.364872

9.1586

7.648396

7.858164

8.43496

8.016232

7.53145

7.511521

9.210136

7.497853

7.436506

8.14538

7.518031

7.523586

7.497072

7.49284

7.371768

7.382461

8.174237

7.455784

hep-th/0009041

Holger Gies

Holger Gies (Tubingen U.)

Flow equation for Halpern-Huang directions of scalar O(N) models

18 pages, 4 figures, LaTeX, references added, presentation improved, final version to appear in Phys. Rev. D

Phys.Rev. D63 (2001) 065011

10.1103/PhysRevD.63.065011

null

hep-th hep-ph

null

A class of asymptotically free scalar theories with O(N) symmetry, defined via the eigenpotentials of the Gaussian fixed point (Halpern-Huang directions), are investigated using renormalization group flow equations. Explicit solutions for the form of the potential in the nonperturbative infrared domain are found in the large-N limit. In this limit, potentials without symmetry breaking essentially preserve their shape and undergo a mass renormalization which is governed only by the renormalization group distance parameter; as a consequence, these scalar theories do not have a problem of naturalness. Symmetry-breaking potentials are found to be ``fine-tuned'' in the large-N limit in the sense that the nontrivial minimum vanishes exactly in the limit of vanishing infrared cutoff: therefore, the O(N) symmetry is restored in the quantum theory and the potential becomes flat near the origin.

[ { "created": "Wed, 6 Sep 2000 12:44:02 GMT", "version": "v1" }, { "created": "Fri, 5 Jan 2001 13:55:21 GMT", "version": "v2" } ]

2009-10-31

[ [ "Gies", "Holger", "", "Tubingen U." ] ]

A class of asymptotically free scalar theories with O(N) symmetry, defined via the eigenpotentials of the Gaussian fixed point (Halpern-Huang directions), are investigated using renormalization group flow equations. Explicit solutions for the form of the potential in the nonperturbative infrared domain are found in the large-N limit. In this limit, potentials without symmetry breaking essentially preserve their shape and undergo a mass renormalization which is governed only by the renormalization group distance parameter; as a consequence, these scalar theories do not have a problem of naturalness. Symmetry-breaking potentials are found to be ``fine-tuned'' in the large-N limit in the sense that the nontrivial minimum vanishes exactly in the limit of vanishing infrared cutoff: therefore, the O(N) symmetry is restored in the quantum theory and the potential becomes flat near the origin.

10.821177

10.873409

10.413363

11.060853

11.554937

11.119944

11.974835

10.985017

10.269027

12.038667

11.022686

10.191854

10.217481

9.889565

10.383704

10.184056

10.50456

10.037667

10.391891

10.466372

10.089849

1912.00004

M\'ark Mezei

Changha Choi, M\'ark Mezei, G\'abor S\'arosi

Exact four point function for large $q$ SYK from Regge theory

17 pages, 1 figure

null

CERN-TH-2019-206

hep-th cond-mat.str-el

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

Motivated by the goal of understanding quantum systems away from maximal chaos, in this note we derive a simple closed form expression for the fermion four point function of the large $q$ SYK model valid at arbitrary temperatures and to leading order in $1/N$. The result captures both the large temperature, weakly coupled regime, and the low temperature, nearly conformal, maximally chaotic regime of the model. The derivation proceeds by the Sommerfeld-Watson resummation of an infinite series that recasts the four point function as a sum of three Regge poles. The location of these poles determines the Lyapunov exponent that interpolates between zero and the maximal value as the temperature is decreased. Our results are in complete agreement with the ones by Streicher arxiv:1911.10171 obtained using a different method.

[ { "created": "Thu, 28 Nov 2019 19:21:15 GMT", "version": "v1" } ]

2019-12-03

[ [ "Choi", "Changha", "" ], [ "Mezei", "Márk", "" ], [ "Sárosi", "Gábor", "" ] ]

Motivated by the goal of understanding quantum systems away from maximal chaos, in this note we derive a simple closed form expression for the fermion four point function of the large $q$ SYK model valid at arbitrary temperatures and to leading order in $1/N$. The result captures both the large temperature, weakly coupled regime, and the low temperature, nearly conformal, maximally chaotic regime of the model. The derivation proceeds by the Sommerfeld-Watson resummation of an infinite series that recasts the four point function as a sum of three Regge poles. The location of these poles determines the Lyapunov exponent that interpolates between zero and the maximal value as the temperature is decreased. Our results are in complete agreement with the ones by Streicher arxiv:1911.10171 obtained using a different method.

9.543825

8.924359

10.620621

9.041164

9.703001

9.403921

8.54669

9.172139

9.800307

10.257016

8.409085

8.789982

9.73523

8.971022

9.161273

8.832202

8.854939

8.821906

8.863692

9.485558

8.960987

hep-th/0309046

Jihn E. Kim

Jihn E. Kim and Hyun Min Lee

Exit from inflation and a paradigm for vanishing cosmological constant in self-tuning models

11 pages of LaTeX file

Phys.Lett. B590 (2004) 1-7

10.1016/j.physletb.2004.03.058

SNUTP 03-017

hep-th astro-ph hep-ph

null

We propose a paradigm for the inflation and the vanishing cosmological constant in a unified way with the self-tuning solutions of the cosmological constant problem. Here, we consider a time-varying cosmological constant in self-tuning models of the cosmological constant. As a specific example, we demonstrate it with a 3-form field in 5D.

[ { "created": "Wed, 3 Sep 2003 22:42:25 GMT", "version": "v1" } ]

2015-06-26

[ [ "Kim", "Jihn E.", "" ], [ "Lee", "Hyun Min", "" ] ]

We propose a paradigm for the inflation and the vanishing cosmological constant in a unified way with the self-tuning solutions of the cosmological constant problem. Here, we consider a time-varying cosmological constant in self-tuning models of the cosmological constant. As a specific example, we demonstrate it with a 3-form field in 5D.

10.405812

9.731462

9.318881

8.237823

9.429233

9.599496

9.778769

8.889217

9.367158

8.864009

8.639127

9.072248

9.060561

9.254248

9.127763

9.452464

9.894453

9.080545

9.446834

9.303801

9.718946

1305.4991

D\'afni Marchioro

D\'afni F. Z. Marchioro, Daniel Luiz Nedel

Quantum corrections to $AdS_5 \times S^5$ left-invariant superstring current algebra

Accepted for publication in Physical Review D. arXiv admin note: text overlap with arXiv:1003.0701

null

10.1103/PhysRevD.87.126001

null

hep-th

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

In this work the pure spinor formulation of the superstring is used to study quantum corrections to the left current OPE algebra of the coset $PSU(2, 2|4)/SO(4, 1) \times SO(5)$ sigma model, which describes the superstring dynamics in the $AdS_5 \times S^5$ background. In particular, the one loop corrections to the simple poles of the bosonic currents are computed. Unlike the case of the double poles, we show that the simple poles suffer corrections, which are important since the simple poles contribute to the four point amplitudes. We show that the only contribution to the simple poles comes from the pure spinor Lorentz currents.

[ { "created": "Wed, 22 May 2013 00:22:22 GMT", "version": "v1" } ]

2015-06-16

[ [ "Marchioro", "Dáfni F. Z.", "" ], [ "Nedel", "Daniel Luiz", "" ] ]

In this work the pure spinor formulation of the superstring is used to study quantum corrections to the left current OPE algebra of the coset $PSU(2, 2|4)/SO(4, 1) \times SO(5)$ sigma model, which describes the superstring dynamics in the $AdS_5 \times S^5$ background. In particular, the one loop corrections to the simple poles of the bosonic currents are computed. Unlike the case of the double poles, we show that the simple poles suffer corrections, which are important since the simple poles contribute to the four point amplitudes. We show that the only contribution to the simple poles comes from the pure spinor Lorentz currents.

6.378964

5.982337

6.975489

5.843277

6.242757

5.729302

5.972116

6.287541

5.934573

6.830149

6.220057

5.913604

6.067292

5.896583

5.756737

5.764676

5.750226

5.758266

5.900624

5.832716

5.756998

hep-th/0511164

Heng-Yu Chen HYC

Heng-Yu Chen (DAMTP) and S. Prem Kumar (Swansea)

Precision Test of AdS/CFT in Lunin-Maldacena Background

Latex 1+28 pages, No figure. Discussion on the field theory operators modified, references added, minor typos corrected

JHEP 0603:051,2006

10.1088/1126-6708/2006/03/051

DAMTP-2005-103

hep-th

null

We obtain the solutions and explicitly calculate the energy for a class of two-spin semiclassical string states in the Lunin-Maldacena background. These configurations are \beta-deformed versions of the folded string solutions in AdS_{5}\times S^{5} background. They correspond to certain single trace operators in the \mathcal{N}=1 superconformal \beta deformation of \mathcal{N}=4 Yang-Mills. We calculate the one loop anomalous dimension for the dual single trace operator from the associated twisted spin chain with a general two-cut distribution of Bethe roots. Our results show a striking match between the two calculations. We demonstrate the natural identification of parameters on the two sides of the analysis, and explain the significance of the Virasoro constraint associated with the winding motion of semiclassical strings from the perspective of the spin chain solution.

[ { "created": "Wed, 16 Nov 2005 18:48:36 GMT", "version": "v1" }, { "created": "Mon, 16 Jan 2006 16:23:46 GMT", "version": "v2" } ]

2011-04-15

[ [ "Chen", "Heng-Yu", "", "DAMTP" ], [ "Kumar", "S. Prem", "", "Swansea" ] ]

We obtain the solutions and explicitly calculate the energy for a class of two-spin semiclassical string states in the Lunin-Maldacena background. These configurations are \beta-deformed versions of the folded string solutions in AdS_{5}\times S^{5} background. They correspond to certain single trace operators in the \mathcal{N}=1 superconformal \beta deformation of \mathcal{N}=4 Yang-Mills. We calculate the one loop anomalous dimension for the dual single trace operator from the associated twisted spin chain with a general two-cut distribution of Bethe roots. Our results show a striking match between the two calculations. We demonstrate the natural identification of parameters on the two sides of the analysis, and explain the significance of the Virasoro constraint associated with the winding motion of semiclassical strings from the perspective of the spin chain solution.

9.014492

8.684179

11.854712

8.763728

8.325549

9.105612

8.768562

8.456491

7.94634

11.462613

8.303832

8.804678

9.603319

8.51324

8.758477

8.364559

8.32336

8.658188

8.659196

9.361693

8.321662

1609.00250

Sebasti\'an Bahamonde

N. S. Mazhari, Davood Momeni, Sebastian Bahamonde, Mir Faizal, Ratbay Myrzakulov

Holographic Complexity and Fidelity Susceptibility as Holographic Information Dual to Different Volumes in AdS

Slighly updated version. Accepted for publication in Phys. Letters B

Phys. Lett. B 766, 94 (2017)

10.1016/j.physletb.2016.12.060

null

hep-th gr-qc

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

The holographic complexity and fidelity susceptibility have been defined as new quantities dual to different volumes in AdS. In this paper, we will use these new proposals to calculate both of these quantities for a variety of interesting deformations of AdS. We obtain the holographic complexity and fidelity susceptibility for an AdS black hole, Janus solution and a solution with cylindrically symmetry, an inhomogeneous background and a hyperscaling violating background. It is observed that the holographic complexity depends on the size of the subsystem for all these solutions and the fidelity susceptibility does not have any such dependence.

[ { "created": "Thu, 1 Sep 2016 14:13:03 GMT", "version": "v1" }, { "created": "Tue, 3 Jan 2017 15:51:17 GMT", "version": "v2" } ]

2017-02-21

[ [ "Mazhari", "N. S.", "" ], [ "Momeni", "Davood", "" ], [ "Bahamonde", "Sebastian", "" ], [ "Faizal", "Mir", "" ], [ "Myrzakulov", "Ratbay", "" ] ]

The holographic complexity and fidelity susceptibility have been defined as new quantities dual to different volumes in AdS. In this paper, we will use these new proposals to calculate both of these quantities for a variety of interesting deformations of AdS. We obtain the holographic complexity and fidelity susceptibility for an AdS black hole, Janus solution and a solution with cylindrically symmetry, an inhomogeneous background and a hyperscaling violating background. It is observed that the holographic complexity depends on the size of the subsystem for all these solutions and the fidelity susceptibility does not have any such dependence.

8.909191

7.765032

10.578262

7.719786

7.825933

7.936572

7.486546

7.855789

7.542235

10.65517

7.517258

8.466292

9.234566

8.174294

8.101289

8.228614

8.416124

8.113698

8.443836

8.703416

8.076824

hep-th/0312177

Gennady Stepanovich Danilov

G.S. Danilov

On cruel mistakes in the calculation of multi-loop superstring amplitudes, the ambiguity of the modular integral and the integration over the module space

28 pages

null

Preprint PNPI-2544, 2003

hep-th

null

Widely spread cruel misconceptions and mistakes in the calculation of multi-loop superstring amplitudes are exposed. Correct calculations are given. It is shown that the cardinal mistake in the gauge fixing procedure presents ab ovo in the Verlinde papers. The mistake was reproduced in following proposals including the recent papers. The modular symmetry of the multi-loop superstring amplitudes is clarified, an incorrectness of previous conjectures being shown. It is shown that the Berezin-type integral versus boson and fermion moduli is doubt under non-split transformations mixing fermion integration variables to the boson integration ones. In particular, due to singularities in moduli of the given spin structure, the integral can be finite or divergent dependently on the integration variables employed. Hence, unlike naive expectations, the multi-loop superstring amplitude is ambiguous. Nevertheless, the ambiguity is totally resolved by the requirement to preserve local symmetries of the superstring amplitude. In the Verlinde world-sheet description it includes, among other thing, the requirement that the amplitude is independent of the gravitino field locations. In action the resolution of the ambiguity in the Verlinde scheme is achieved by going to the supercovariant gauge. As it has been argued earlier, the resulted arbitrary-loop amplitudes are finite.

[ { "created": "Tue, 16 Dec 2003 09:00:25 GMT", "version": "v1" } ]

2007-05-23

[ [ "Danilov", "G. S.", "" ] ]

Widely spread cruel misconceptions and mistakes in the calculation of multi-loop superstring amplitudes are exposed. Correct calculations are given. It is shown that the cardinal mistake in the gauge fixing procedure presents ab ovo in the Verlinde papers. The mistake was reproduced in following proposals including the recent papers. The modular symmetry of the multi-loop superstring amplitudes is clarified, an incorrectness of previous conjectures being shown. It is shown that the Berezin-type integral versus boson and fermion moduli is doubt under non-split transformations mixing fermion integration variables to the boson integration ones. In particular, due to singularities in moduli of the given spin structure, the integral can be finite or divergent dependently on the integration variables employed. Hence, unlike naive expectations, the multi-loop superstring amplitude is ambiguous. Nevertheless, the ambiguity is totally resolved by the requirement to preserve local symmetries of the superstring amplitude. In the Verlinde world-sheet description it includes, among other thing, the requirement that the amplitude is independent of the gravitino field locations. In action the resolution of the ambiguity in the Verlinde scheme is achieved by going to the supercovariant gauge. As it has been argued earlier, the resulted arbitrary-loop amplitudes are finite.

20.237457

21.091778

20.50342

19.702431

21.090065

22.53401

23.085693

22.607298

19.940559

23.847321

20.926865

19.680717

20.257013

19.858553

20.50914

20.936256

20.506628

20.52087

20.352716

19.574398

20.043144

2007.12234

Robert Shrock

John A. Gracey, Thomas A. Ryttov, and Robert Shrock

Renormalization-Group Behavior of $\phi^3$ Theories in $d=6$ Dimensions

9 pages

Phys. Rev. D 102, 045016 (2020)

10.1103/PhysRevD.102.045016

LTH-1240, CP3-SDU-2020-n, YITP-SB-2020-20

hep-th

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

We investigate possible renormalization-group fixed points at nonzero coupling in $\phi^3$ theories in six spacetime dimensions, using beta functions calculated to the four-loop level. We analyze three theories of this type, with (a) a one-component scalar, (b) a scalar transforming as the fundamental representation of a global ${\rm SU}(N)$ symmetry group, and (c) a scalar transforming as a bi-adjoint representation of a global ${\rm SU}(N) \otimes {\rm SU}(N)$ symmetry. We do not find robust evidence for such fixed points in theories (a) or (b). Theory (c) has the special feature that the one-loop term in the beta function is zero; implications of this are discussed.

[ { "created": "Thu, 23 Jul 2020 20:10:03 GMT", "version": "v1" } ]

2020-08-25

[ [ "Gracey", "John A.", "" ], [ "Ryttov", "Thomas A.", "" ], [ "Shrock", "Robert", "" ] ]

We investigate possible renormalization-group fixed points at nonzero coupling in $\phi^3$ theories in six spacetime dimensions, using beta functions calculated to the four-loop level. We analyze three theories of this type, with (a) a one-component scalar, (b) a scalar transforming as the fundamental representation of a global ${\rm SU}(N)$ symmetry group, and (c) a scalar transforming as a bi-adjoint representation of a global ${\rm SU}(N) \otimes {\rm SU}(N)$ symmetry. We do not find robust evidence for such fixed points in theories (a) or (b). Theory (c) has the special feature that the one-loop term in the beta function is zero; implications of this are discussed.

5.354322

5.129039

5.74887

5.254236

5.207779

5.508588

5.481699

5.198482

5.332977

5.622431

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5.192131

5.414604

5.211135

5.124111

5.085645

5.125856

5.069164

5.227092

5.434512

5.152245

hep-th/9212126

Eric Raiten

Hans Dykstra, Joe Lykken and Eric Raiten

Exact Path Integrals by Equivariant Cohomology

LATEX

Phys.Lett. B302 (1993) 223-229

10.1016/0370-2693(93)90388-X

11 pages, UMHEP--384, FERMI-PUB-92/383-T

hep-th

null

It is a common belief among field theorists that path integrals can be computed exactly only in a limited number of special cases, and that most of these cases are already known. However recent developments, which generalize the WKBJ method using equivariant cohomology, appear to contradict this folk wisdom. At the formal level, equivariant localization would seem to allow exact computation of phase space path integrals for an arbitrary partition function! To see how, and if, these methods really work in practice, we have applied them in explicit quantum mechanics examples. We show that the path integral for the 1-d hydrogen atom, which is not WKBJ exact, is localizable and computable using the more general formalism. We find however considerable ambiguities in this approach, which we can only partially resolve. In addition, we find a large class of quantum mechanics examples where the localization procedure breaks down completely.

[ { "created": "Mon, 21 Dec 1992 22:19:44 GMT", "version": "v1" } ]

2009-10-22

[ [ "Dykstra", "Hans", "" ], [ "Lykken", "Joe", "" ], [ "Raiten", "Eric", "" ] ]

It is a common belief among field theorists that path integrals can be computed exactly only in a limited number of special cases, and that most of these cases are already known. However recent developments, which generalize the WKBJ method using equivariant cohomology, appear to contradict this folk wisdom. At the formal level, equivariant localization would seem to allow exact computation of phase space path integrals for an arbitrary partition function! To see how, and if, these methods really work in practice, we have applied them in explicit quantum mechanics examples. We show that the path integral for the 1-d hydrogen atom, which is not WKBJ exact, is localizable and computable using the more general formalism. We find however considerable ambiguities in this approach, which we can only partially resolve. In addition, we find a large class of quantum mechanics examples where the localization procedure breaks down completely.

11.447874

11.476514

10.662306

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10.919461

12.520029

10.91558

10.741796

10.783295

10.542789

10.581803

10.723688

10.745716

10.82385

10.693262

10.929619

10.51521

1209.4960

Sudarshan Ananth

Spinor helicity structures in higher spin theories

5 pages. v2: minor changes, references added

JHEP 1211 (2012) 089

10.1007/JHEP11(2012)089

null

hep-th

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

It is shown that the coefficient of the cubic interaction vertex, in higher spin Lagrangians, has a very simple form when written in terms of spinor helicity products. The result for a higher-spin field, of spin $\lambda$, is equal to the corresponding Yang-Mills coefficient raised to the power $\lambda$. Among other things, this suggests perturbative ties, similar to the KLT relations, between higher spin theories and pure Yang-Mills. This result is obtained in four-dimensional flat spacetime.

[ { "created": "Sat, 22 Sep 2012 04:44:02 GMT", "version": "v1" }, { "created": "Sat, 15 Dec 2012 05:56:18 GMT", "version": "v2" } ]

2020-02-26

[ [ "Ananth", "Sudarshan", "" ] ]

It is shown that the coefficient of the cubic interaction vertex, in higher spin Lagrangians, has a very simple form when written in terms of spinor helicity products. The result for a higher-spin field, of spin $\lambda$, is equal to the corresponding Yang-Mills coefficient raised to the power $\lambda$. Among other things, this suggests perturbative ties, similar to the KLT relations, between higher spin theories and pure Yang-Mills. This result is obtained in four-dimensional flat spacetime.

11.144938

8.030725

11.613623

9.670685

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9.491811

9.845061

9.544533

9.325262

9.593966

9.863121

9.353592

2312.10071

Armando Reynoso

Probing Clifford Algebras Through Spin Groups: A Standard Model Perspective

9 pages

null

hep-th

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

Division algebras have demonstrated their utility in studying non-associative algebras and their connection to the Standard Model through complex Clifford algebras. This article focuses on exploring the connection between these complex Clifford algebras and their corresponding real Clifford algebras providing insight into geometric properties of bivector gauge symmetries. We first generate gauge symmetries in the complex Clifford algebra through a general Witt decomposition. Gauge symmetries act as a constraint on the underlying real Clifford algebra, where they're then translated from their complex form to their bivector counterpart. Spin group arguments allow the identification of bivector structures which preserve the gauge symmetry yielding the corresponding real Clifford algebra. We conclude that Standard Model gauge groups emerge from higher-dimensional Clifford algebras carrying Euclidean signatures, where particle states are recognized as a combination of basis elements corresponding to complex Euclidean Clifford algebras.

[ { "created": "Wed, 6 Dec 2023 17:49:52 GMT", "version": "v1" } ]

2023-12-19

[ [ "Reynoso", "Armando", "" ] ]

Division algebras have demonstrated their utility in studying non-associative algebras and their connection to the Standard Model through complex Clifford algebras. This article focuses on exploring the connection between these complex Clifford algebras and their corresponding real Clifford algebras providing insight into geometric properties of bivector gauge symmetries. We first generate gauge symmetries in the complex Clifford algebra through a general Witt decomposition. Gauge symmetries act as a constraint on the underlying real Clifford algebra, where they're then translated from their complex form to their bivector counterpart. Spin group arguments allow the identification of bivector structures which preserve the gauge symmetry yielding the corresponding real Clifford algebra. We conclude that Standard Model gauge groups emerge from higher-dimensional Clifford algebras carrying Euclidean signatures, where particle states are recognized as a combination of basis elements corresponding to complex Euclidean Clifford algebras.

15.129925

15.479012

15.438209

15.679399

14.395874

14.833219

15.39614

14.622684

14.856359

15.702331

14.203663

14.415857

14.231285

14.268331

13.761297

13.973811

14.115191

14.182184

14.167325

14.171335

14.147535

hep-th/0305010

Shunsuke Teraguchi

H. Hata, H. Kogetsu and S. Teraguchi

Gauge Structure of Vacuum String Field Theory

19 pages, LaTeX2e

JHEP 0402 (2004) 045

10.1088/1126-6708/2004/02/045

KUNS-1839

hep-th

null

We study the gauge structure of vacuum string field theory expanded around the D-brane solution, namely, the gauge transformation and the transversality condition of the massless vector fluctuation mode. We find that the gauge transformation on massless vector field is induced as an anomaly; an infinity multiplied by an infinitesimal factor. The infinity comes from the singularity at the edge of the eigenvalue distribution of the Neumann matrix, while the infinitesimal factor from the violation of the equation of motion of the fluctuation modes due to the regularization for the infinity. However, the transversality condition cannot be obtained even if we take into account the anomaly contribution.

[ { "created": "Thu, 1 May 2003 08:42:42 GMT", "version": "v1" } ]

2009-11-10

[ [ "Hata", "H.", "" ], [ "Kogetsu", "H.", "" ], [ "Teraguchi", "S.", "" ] ]

We study the gauge structure of vacuum string field theory expanded around the D-brane solution, namely, the gauge transformation and the transversality condition of the massless vector fluctuation mode. We find that the gauge transformation on massless vector field is induced as an anomaly; an infinity multiplied by an infinitesimal factor. The infinity comes from the singularity at the edge of the eigenvalue distribution of the Neumann matrix, while the infinitesimal factor from the violation of the equation of motion of the fluctuation modes due to the regularization for the infinity. However, the transversality condition cannot be obtained even if we take into account the anomaly contribution.

10.026925

9.470989

9.636083

8.63009

9.782087

9.322982

9.220824

8.69291

8.913545

10.372247

9.563941

9.532453

9.35895

9.220143

9.260602

9.481457

9.534005

9.534806

9.362501

9.797231

9.126228

1007.0027

Paolo Creminelli

Paolo Creminelli, Alberto Nicolis, and Enrico Trincherini

Galilean Genesis: an alternative to inflation

25 pages, 1 figure. v2: minor changes, JCAP published version

JCAP 1011:021,2010

10.1088/1475-7516/2010/11/021

null

hep-th astro-ph.CO gr-qc

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

We propose a novel cosmological scenario, in which standard inflation is replaced by an expanding phase with a drastic violation of the Null Energy Condition (NEC): \dot H >> H^2. The model is based on the recently introduced Galileon theories, that allow NEC violating solutions without instabilities. The unperturbed solution describes a Universe that is asymptotically Minkowski in the past, expands with increasing energy density until it exits the regime of validity of the effective field theory and reheats. This solution is a dynamical attractor and the Universe is driven to it, even if it is initially contracting. The study of perturbations of the Galileon field reveals some subtleties, related to the gross violation of the NEC and it shows that adiabatic perturbations are cosmologically irrelevant. The model, however, suggests a new way to produce a scale invariant spectrum of isocurvature perturbations, which can later be converted to adiabatic: the Galileon is forced by symmetry to couple to the other fields as a dilaton; the effective metric it yields on the NEC violating solution is that of de Sitter space, so that all light scalars will automatically acquire a nearly scale-invariant spectrum of perturbations.

[ { "created": "Wed, 30 Jun 2010 21:15:13 GMT", "version": "v1" }, { "created": "Thu, 21 Oct 2010 16:13:13 GMT", "version": "v2" } ]

2010-11-23

[ [ "Creminelli", "Paolo", "" ], [ "Nicolis", "Alberto", "" ], [ "Trincherini", "Enrico", "" ] ]

We propose a novel cosmological scenario, in which standard inflation is replaced by an expanding phase with a drastic violation of the Null Energy Condition (NEC): \dot H >> H^2. The model is based on the recently introduced Galileon theories, that allow NEC violating solutions without instabilities. The unperturbed solution describes a Universe that is asymptotically Minkowski in the past, expands with increasing energy density until it exits the regime of validity of the effective field theory and reheats. This solution is a dynamical attractor and the Universe is driven to it, even if it is initially contracting. The study of perturbations of the Galileon field reveals some subtleties, related to the gross violation of the NEC and it shows that adiabatic perturbations are cosmologically irrelevant. The model, however, suggests a new way to produce a scale invariant spectrum of isocurvature perturbations, which can later be converted to adiabatic: the Galileon is forced by symmetry to couple to the other fields as a dilaton; the effective metric it yields on the NEC violating solution is that of de Sitter space, so that all light scalars will automatically acquire a nearly scale-invariant spectrum of perturbations.

7.969041

8.490975

8.58634

7.591506

8.166282

8.226806

7.755645

7.929477

7.579868

8.884034

7.608552

7.42113

8.005594

7.683073

7.642154

7.65065

7.703001

7.779817

7.573722

8.044954

7.702207

1908.09159

Amr Ahmadain

A (1+1)-dimensional Lifshitz Weyl Anomaly From a Schr$\mathrm{\ddot{o}}$dinger-invariant Non-relativistic Chern-Simons Action

29 pages, 1 figure; typos corrected, references added

null

hep-th cond-mat.str-el

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

The main result of this paper is that the Weyl anomaly of a $z=2$ (1+1)-dimensional Lifshitz effective action can be derived from a (2+1)-dimensional non-relativistic Schr$\mathrm{\ddot{o}}$dinger-invariant Chern-Simons (NRSCS) action which was shown to be equivalent to a specific Weyl-invariant non-projectable Horava-Lifshitz action of gravity. On a manifold with a boundary, we will show that the (1+1)-dimensional Lifshitz Weyl anomaly can be derived from a specific term, the torsional CS (tCS) term, in the NRSCS action built from the gauge fields of the Weyl and special conformal symmetry generators of the centrally-extended Schr$\mathrm{\ddot{o}}$dinger algebra. We also focus on the $z=1$ Lifshitz Weyl anomaly and attempt to elicit its geometric and physical nature, in particular its relationship with the Lorentz anomaly of a (1+1)-dimensional CFT effective actions. We show that it is directly related to the curvature scalar of the dual Lorentz connection, the integral of which is known to be a topological invariant. We also point out that making the anomalous Lifshitz quantum effective action Weyl-invariant amounts to obtaining the equation of motion for a stationary chiral boson which happens to be the spatial-component of the acceleration vector. By putting boundary conditions on the spatial slices, the time dependence of the lapse function in the Arnowitt, Deser and Misner (ADM) decomposition is eliminated and the result is a Rindler metric. We finally discuss several issues related to the (1+1)-dimensional Lifshitz Weyl anomaly regarding edge physics of fractional quantum Hall states and anomaly cancellation by anomaly inflow.

[ { "created": "Sat, 24 Aug 2019 16:02:50 GMT", "version": "v1" }, { "created": "Tue, 22 Oct 2019 20:21:19 GMT", "version": "v2" } ]

2019-10-24

[ [ "Ahmadain", "Amr", "" ] ]

The main result of this paper is that the Weyl anomaly of a $z=2$ (1+1)-dimensional Lifshitz effective action can be derived from a (2+1)-dimensional non-relativistic Schr$\mathrm{\ddot{o}}$dinger-invariant Chern-Simons (NRSCS) action which was shown to be equivalent to a specific Weyl-invariant non-projectable Horava-Lifshitz action of gravity. On a manifold with a boundary, we will show that the (1+1)-dimensional Lifshitz Weyl anomaly can be derived from a specific term, the torsional CS (tCS) term, in the NRSCS action built from the gauge fields of the Weyl and special conformal symmetry generators of the centrally-extended Schr$\mathrm{\ddot{o}}$dinger algebra. We also focus on the $z=1$ Lifshitz Weyl anomaly and attempt to elicit its geometric and physical nature, in particular its relationship with the Lorentz anomaly of a (1+1)-dimensional CFT effective actions. We show that it is directly related to the curvature scalar of the dual Lorentz connection, the integral of which is known to be a topological invariant. We also point out that making the anomalous Lifshitz quantum effective action Weyl-invariant amounts to obtaining the equation of motion for a stationary chiral boson which happens to be the spatial-component of the acceleration vector. By putting boundary conditions on the spatial slices, the time dependence of the lapse function in the Arnowitt, Deser and Misner (ADM) decomposition is eliminated and the result is a Rindler metric. We finally discuss several issues related to the (1+1)-dimensional Lifshitz Weyl anomaly regarding edge physics of fractional quantum Hall states and anomaly cancellation by anomaly inflow.

6.843593

7.159506

7.579366

6.655581

6.900633

7.163527

7.016394

7.229639

6.888243

8.095284

6.551647

6.737586

6.978999

6.743111

6.744029

6.624365

6.607385

6.775219

6.814618

6.9632

6.7379

1511.03630

Stephan Stieberger

Georg Puhlfuerst and Stephan Stieberger

A Feynman Integral and its Recurrences and Associators

29 pages, 1 figure; v2: specified some wording in sect. 1 and at the beginning of sect. 2 & added sect. 4; v3: final and streamlined version published in Nucl. Phys. B

null

10.1016/j.nuclphysb.2016.03.008

MPP-2015-259

hep-th hep-ph math.NT

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

We determine closed and compact expressions for the epsilon-expansion of certain Gaussian hypergeometric functions expanded around half-integer values by explicitly solving for their recurrence relations. This epsilon-expansion is identified with the normalized solution of the underlying Fuchs system of four regular singular points. We compute its regularized zeta series (giving rise to two independent associators) whose ratio gives the epsilon-expansion at a specific value. Furthermore, we use the well known one-loop massive bubble integral as an example to demonstrate how to obtain all-order epsilon-expansions for Feynman integrals and how to construct representations for Feynman integrals in terms of generalized hypergeometric functions. We use the method of differential equations in combination with the recently established general solution for recurrence relations with non-commutative coefficients.

[ { "created": "Wed, 11 Nov 2015 19:57:48 GMT", "version": "v1" }, { "created": "Wed, 18 Nov 2015 20:16:58 GMT", "version": "v2" }, { "created": "Thu, 3 Mar 2016 13:55:39 GMT", "version": "v3" } ]

2016-04-20

[ [ "Puhlfuerst", "Georg", "" ], [ "Stieberger", "Stephan", "" ] ]

We determine closed and compact expressions for the epsilon-expansion of certain Gaussian hypergeometric functions expanded around half-integer values by explicitly solving for their recurrence relations. This epsilon-expansion is identified with the normalized solution of the underlying Fuchs system of four regular singular points. We compute its regularized zeta series (giving rise to two independent associators) whose ratio gives the epsilon-expansion at a specific value. Furthermore, we use the well known one-loop massive bubble integral as an example to demonstrate how to obtain all-order epsilon-expansions for Feynman integrals and how to construct representations for Feynman integrals in terms of generalized hypergeometric functions. We use the method of differential equations in combination with the recently established general solution for recurrence relations with non-commutative coefficients.

14.589316

15.165936

15.760077

14.538095

15.129626

15.480429

15.842837

13.260305

15.095793

19.086983

13.981215

14.769161

14.359689

14.765662

14.588127

15.112105

14.392031

15.009725

14.788252

14.517005

14.595572

1511.08747

Yegor Korovin

Steffen Aksteiner and Yegor Korovin

New modes from higher curvature corrections in holography

24 pages

null

10.1007/JHEP03(2016)166

null

hep-th gr-qc

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

In gravitational theories involving higher curvature corrections the metric describes additional degrees of freedom beyond the graviton. Holographic duality maps these to operators in the dual CFT. We identify infinite families of theories for which these new modes cannot be truncated and the usual Fefferman-Graham expansion needs to be modified. New massive gravity in three dimensions and critical gravity in four dimensions are particular representatives of these families. We propose modified expansion, study the near-boundary behaviour of the metric and derive fall-off properties of the additional modes in theories involving higher derivative corrections.

[ { "created": "Fri, 27 Nov 2015 17:15:58 GMT", "version": "v1" } ]

2016-04-20

[ [ "Aksteiner", "Steffen", "" ], [ "Korovin", "Yegor", "" ] ]

In gravitational theories involving higher curvature corrections the metric describes additional degrees of freedom beyond the graviton. Holographic duality maps these to operators in the dual CFT. We identify infinite families of theories for which these new modes cannot be truncated and the usual Fefferman-Graham expansion needs to be modified. New massive gravity in three dimensions and critical gravity in four dimensions are particular representatives of these families. We propose modified expansion, study the near-boundary behaviour of the metric and derive fall-off properties of the additional modes in theories involving higher derivative corrections.

13.363175

12.447057

14.83097

11.650584

11.4139

11.383547

12.578141

11.125665

11.418258

16.413431

11.945172

12.255

12.845525

11.814147

11.637809

12.257613

11.673946

11.705024

12.093841

13.166263

12.455553

1003.4717

Vitaly Velizhanin

V.N. Velizhanin

Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM

19 pages, typos corrected, details added

JHEP 1011:129,2010

10.1007/JHEP11(2010)129

null

hep-th hep-ph

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

The result for the six-loop anomalous dimension of twist-three operators in the planar N=4 SYM theory is presented. The calculations were performed along the paper arXiv:0912.1624. This result provides a new data for testing the proposed spectral equations for planar AdS/CFT correspondence.

[ { "created": "Wed, 24 Mar 2010 19:25:06 GMT", "version": "v1" }, { "created": "Wed, 9 Jun 2010 17:14:08 GMT", "version": "v2" }, { "created": "Mon, 6 Sep 2010 19:38:49 GMT", "version": "v3" }, { "created": "Wed, 8 Sep 2010 19:27:41 GMT", "version": "v4" }, { "created": "Thu, 4 Nov 2010 19:24:22 GMT", "version": "v5" } ]

2010-12-09

[ [ "Velizhanin", "V. N.", "" ] ]

The result for the six-loop anomalous dimension of twist-three operators in the planar N=4 SYM theory is presented. The calculations were performed along the paper arXiv:0912.1624. This result provides a new data for testing the proposed spectral equations for planar AdS/CFT correspondence.

9.576673

6.855478

10.734831

7.187402

6.998265

7.739945

7.589827

7.45865

6.72356

11.276958

7.47568

7.180555

9.118174

7.427214

7.595969

7.659034

7.392022

7.785008

7.314791

8.919233

7.606152

hep-th/0112203

Mark Laidlaw

M. Laidlaw, G. W. Semenoff

The Boundary State Formalism and Conformal Invariance in Off-shell String Theory

19 pages, 0 figures

JHEP 0311:021,2003

10.1088/1126-6708/2003/11/021

null

hep-th

null

We present a generalization of the boundary state formalism for the bosonic string that allows us to calculate the overlap of the boundary state with arbitrary closed string states. We show that this generalization exactly reproduces world-sheet sigma model calculations, thus giving the correct overlap with both on- and off-shell string states, and that this new boundary state automatically satisfies the requirement for integrated vertex operators in the case of non-conformally invariant boundary interactions.

[ { "created": "Thu, 20 Dec 2001 23:24:34 GMT", "version": "v1" } ]

2010-02-03

[ [ "Laidlaw", "M.", "" ], [ "Semenoff", "G. W.", "" ] ]

We present a generalization of the boundary state formalism for the bosonic string that allows us to calculate the overlap of the boundary state with arbitrary closed string states. We show that this generalization exactly reproduces world-sheet sigma model calculations, thus giving the correct overlap with both on- and off-shell string states, and that this new boundary state automatically satisfies the requirement for integrated vertex operators in the case of non-conformally invariant boundary interactions.

9.907059

8.676414

9.825823

9.021651

9.162409

9.510208

9.377654

9.669206

9.125547

12.62158

8.782689

9.694036

9.920547

9.568375

9.260631

9.814417

9.388193

9.390795

9.342435

10.200576

9.259437

1702.02154

Vasco Gon\c{c}alves

Benjamin Basso, Vasco Goncalves, Shota Komatsu

Structure constants at wrapping order

69 pages

null

10.1007/JHEP05(2017)124

null

hep-th

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

We consider structure constants of single trace operators in planar $\mathcal{N}$ = 4 Super-Yang-Mills theory within the hexagon framework. The standard procedure for forming a three point function out of two hexagons develops divergences when the effects of virtual particles wrapping around the operators are taken into account. In this paper, we explain how to renormalize these divergences away and obtain definite predictions, at the leading wrapping order, for some of the structure constants that parameterize the OPE of two chiral primaries. We test our method at weak coupling against the four loop planar correction to the BPS-BPS-Konishi OPE coefficient, derived recently in the field theory. At strong coupling, we compare our expressions with the structure constants obtained in string theory for three semiclassical strings.

[ { "created": "Tue, 7 Feb 2017 19:00:12 GMT", "version": "v1" } ]

2017-08-23

[ [ "Basso", "Benjamin", "" ], [ "Goncalves", "Vasco", "" ], [ "Komatsu", "Shota", "" ] ]

We consider structure constants of single trace operators in planar $\mathcal{N}$ = 4 Super-Yang-Mills theory within the hexagon framework. The standard procedure for forming a three point function out of two hexagons develops divergences when the effects of virtual particles wrapping around the operators are taken into account. In this paper, we explain how to renormalize these divergences away and obtain definite predictions, at the leading wrapping order, for some of the structure constants that parameterize the OPE of two chiral primaries. We test our method at weak coupling against the four loop planar correction to the BPS-BPS-Konishi OPE coefficient, derived recently in the field theory. At strong coupling, we compare our expressions with the structure constants obtained in string theory for three semiclassical strings.

10.177721

8.531909

12.608353

8.954996

10.007592

9.500593

8.929176

8.74555

8.994292

11.991769

8.555407

8.919393

10.26705

9.360244

9.660846

9.359985

9.131334

9.70101

9.604308

10.184095

9.225413

2403.20102

Chuan-Yi Wang

Yan Liu, Hong-Da Lyu and Chuan-Yi Wang

On AdS$_3$/ICFT$_2$ with a dynamical scalar field located on the brane

64 pages, many figures; v2: minor improvements, references added

null

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

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

We exploit holographic duality to study the system of a one-dimensional interface contacting two semi-infinite two-dimensional CFTs. Central to our investigation is the introduction of a dynamical scalar field located on the bulk interface brane which breaks the scaling symmetry of the dual interface field theory, along with its consequential backreaction on the system. We define an interface entropy from holographic entanglement entropy. At zero temperature we construct several illustrative examples and observe that the $g$-theorem is always satisfied. These examples also reveal distinct features of the interface entropy that are intricately linked to the scalar potential profiles. At finite temperature we find that the dynamical scalar field enables the bulk theory to have new configurations which would be infeasible solely with a tension term on the interface brane.

[ { "created": "Fri, 29 Mar 2024 10:31:38 GMT", "version": "v1" }, { "created": "Thu, 4 Apr 2024 09:17:27 GMT", "version": "v2" } ]

2024-04-05

[ [ "Liu", "Yan", "" ], [ "Lyu", "Hong-Da", "" ], [ "Wang", "Chuan-Yi", "" ] ]

We exploit holographic duality to study the system of a one-dimensional interface contacting two semi-infinite two-dimensional CFTs. Central to our investigation is the introduction of a dynamical scalar field located on the bulk interface brane which breaks the scaling symmetry of the dual interface field theory, along with its consequential backreaction on the system. We define an interface entropy from holographic entanglement entropy. At zero temperature we construct several illustrative examples and observe that the $g$-theorem is always satisfied. These examples also reveal distinct features of the interface entropy that are intricately linked to the scalar potential profiles. At finite temperature we find that the dynamical scalar field enables the bulk theory to have new configurations which would be infeasible solely with a tension term on the interface brane.

14.726008

12.087349

15.091578

12.21225

12.375774

13.148201

12.292929

12.959587

12.858765

15.936065

12.288955

12.94227

14.275609

12.875011

12.751019

12.933834

13.045118

12.766115

12.645255

14.303488

13.068942

hep-th/0607227

Boris Pioline

Boris Pioline (LPTHE and LPTENS, Paris)

Lectures on on Black Holes, Topological Strings and Quantum Attractors (2.0)

103 pages, 8 figures, 21 exercises, uses JHEP3.cls; v5: important upgrade, prepared for the proceedings of Frascati School on Attractor Mechanism; Sec 7 was largely rewritten to incorporate recent progress; more figures, more refs, and minor changes in abstract and introduction

Class.Quant.Grav.23:S981,2006

10.1088/0264-9381/23/21/S05

LPTENS-06-27

hep-th

null

In these lecture notes, we review some recent developments on the relation between the macroscopic entropy of four-dimensional BPS black holes and the microscopic counting of states, beyond the thermodynamical, large charge limit. After a brief overview of charged black holes in supergravity and string theory, we give an extensive introduction to special and very special geometry, attractor flows and topological string theory, including holomorphic anomalies. We then expose the Ooguri-Strominger-Vafa (OSV) conjecture which relates microscopic degeneracies to the topological string amplitude, and review precision tests of this formula on ``small'' black holes. Finally, motivated by a holographic interpretation of the OSV conjecture, we give a systematic approach to the radial quantization of BPS black holes (i.e. quantum attractors). This suggests the existence of a one-parameter generalization of the topological string amplitude, and provides a general framework for constructing automorphic partition functions for black hole degeneracies in theories with sufficient degree of symmetry.

[ { "created": "Thu, 27 Jul 2006 15:41:30 GMT", "version": "v1" }, { "created": "Tue, 15 Aug 2006 08:56:05 GMT", "version": "v2" }, { "created": "Wed, 6 Sep 2006 14:21:55 GMT", "version": "v3" }, { "created": "Wed, 1 Nov 2006 11:39:58 GMT", "version": "v4" }, { "created": "Tue, 6 Feb 2007 15:43:56 GMT", "version": "v5" } ]

2009-11-11

[ [ "Pioline", "Boris", "", "LPTHE and LPTENS, Paris" ] ]

In these lecture notes, we review some recent developments on the relation between the macroscopic entropy of four-dimensional BPS black holes and the microscopic counting of states, beyond the thermodynamical, large charge limit. After a brief overview of charged black holes in supergravity and string theory, we give an extensive introduction to special and very special geometry, attractor flows and topological string theory, including holomorphic anomalies. We then expose the Ooguri-Strominger-Vafa (OSV) conjecture which relates microscopic degeneracies to the topological string amplitude, and review precision tests of this formula on ``small'' black holes. Finally, motivated by a holographic interpretation of the OSV conjecture, we give a systematic approach to the radial quantization of BPS black holes (i.e. quantum attractors). This suggests the existence of a one-parameter generalization of the topological string amplitude, and provides a general framework for constructing automorphic partition functions for black hole degeneracies in theories with sufficient degree of symmetry.

8.827682

8.049736

9.14183

7.981014

8.425643

8.753669

9.075717

7.829193

8.291755

10.041229

7.969332

7.871279

8.405092

7.83899

7.755656

7.99976

7.970588

7.904212

7.841386

8.409178

7.841646

hep-th/9502142

null

V.E.Rochev and P.A.Saponov

Schwinger Equation as Singularly Perturbed Equation

16 pages, plain LaTex, no figures.

null

hep-th

null

A new approximation scheme for non-perturbative calculations in a quantum field theory is proposed. The scheme is based on investigation of solutions of the Schwinger equation with its singular character taken into account. As a necessary supplementary boundary condition the Green functions' connected structures correspondence principle is used. Besides the usual perturbation theory expansion which is always available as a particular solution of our scheme some non-perturbative solutions of an equation for the propagator are found in the model of a self-interacting scalar field.

[ { "created": "Fri, 24 Feb 1995 17:23:31 GMT", "version": "v1" } ]

2016-09-06

[ [ "Rochev", "V. E.", "" ], [ "Saponov", "P. A.", "" ] ]

A new approximation scheme for non-perturbative calculations in a quantum field theory is proposed. The scheme is based on investigation of solutions of the Schwinger equation with its singular character taken into account. As a necessary supplementary boundary condition the Green functions' connected structures correspondence principle is used. Besides the usual perturbation theory expansion which is always available as a particular solution of our scheme some non-perturbative solutions of an equation for the propagator are found in the model of a self-interacting scalar field.

13.596809

13.615657

12.82127

12.625391

13.183771

12.751991

14.551078

12.544428

11.913368

15.007252

11.843799

11.580891

12.819669

12.160263

12.040977

11.76234

11.392591

12.396482

12.054007

12.650187

12.146461

1305.4223

Andrei Barvinsky

A.O.Barvinsky

The $a$-theorem and temperature of the CMB temperature in cosmology

4 pages, revtex

null

hep-th gr-qc

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

Initial conditions in cosmology in the form of the microcanonical density matrix of the Universe predict a thermal nature of the primordial CMB power spectrum with a nonzero temperature of the resulting relict temperature distribution. This effect generates a thermal contribution to the red tilt of this spectrum, additional to its vacuum component. In the cosmological model with a large number of free fields conformally coupled to gravity the magnitude of this effect is determined by the Gauss-Bonnet coefficient $\mbox{\boldmath$a$}$ of the trace anomaly. For low spins it is too small to be presently observable, but it can be amplified by the mechanism of the $\mbox{\boldmath$a$}$-theorem applied to the renormalization group flow which interpolates between the ultraviolet and infrared domains associated respectively with early and late stages of cosmological evolution.

[ { "created": "Sat, 18 May 2013 03:41:40 GMT", "version": "v1" } ]

2013-05-21

[ [ "Barvinsky", "A. O.", "" ] ]

Initial conditions in cosmology in the form of the microcanonical density matrix of the Universe predict a thermal nature of the primordial CMB power spectrum with a nonzero temperature of the resulting relict temperature distribution. This effect generates a thermal contribution to the red tilt of this spectrum, additional to its vacuum component. In the cosmological model with a large number of free fields conformally coupled to gravity the magnitude of this effect is determined by the Gauss-Bonnet coefficient $\mbox{\boldmath$a$}$ of the trace anomaly. For low spins it is too small to be presently observable, but it can be amplified by the mechanism of the $\mbox{\boldmath$a$}$-theorem applied to the renormalization group flow which interpolates between the ultraviolet and infrared domains associated respectively with early and late stages of cosmological evolution.

11.283309

9.789941

11.967332

10.173291

10.291511

10.220173

10.070092

10.168277

11.095442

12.652848

10.079743

10.1053

10.753554

10.202342

9.833043

10.004245

9.907803

10.089621

10.214567

10.710557

10.078246

1907.06661

Shouvik Datta

Mert Besken, Shouvik Datta, Per Kraus

Quantum thermalization and Virasoro symmetry

45 pages, 10 figures; v2: expanded explanations in Sections 1, 3 and 4

J. Stat. Mech. (2020) 063104

10.1088/1742-5468/ab900b

null

hep-th cond-mat.stat-mech

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

We initiate a systematic study of high energy matrix elements of local operators in 2d CFT. Knowledge of these is required in order to determine whether the eigenstate thermalization hypothesis (ETH) can hold in such theories. Most high energy states are high level Virasoro descendants, and by employing an oscillator representation of the Virasoro algebra we develop an efficient method for computing matrix elements of primary operators in such states. In parameter regimes where we expect (e.g. from AdS/CFT intuition) thermalization to occur, we observe striking patterns in the matrix elements: diagonal matrix elements are smoothly varying and off-diagonal elements, while nonzero, are power-law suppressed compared to the diagonal elements. We discuss the implications of these universal properties of 2d CFTs in regard to their compatibility with ETH.

[ { "created": "Mon, 15 Jul 2019 18:01:04 GMT", "version": "v1" }, { "created": "Sun, 22 Mar 2020 16:33:34 GMT", "version": "v2" } ]

2020-06-30

[ [ "Besken", "Mert", "" ], [ "Datta", "Shouvik", "" ], [ "Kraus", "Per", "" ] ]

We initiate a systematic study of high energy matrix elements of local operators in 2d CFT. Knowledge of these is required in order to determine whether the eigenstate thermalization hypothesis (ETH) can hold in such theories. Most high energy states are high level Virasoro descendants, and by employing an oscillator representation of the Virasoro algebra we develop an efficient method for computing matrix elements of primary operators in such states. In parameter regimes where we expect (e.g. from AdS/CFT intuition) thermalization to occur, we observe striking patterns in the matrix elements: diagonal matrix elements are smoothly varying and off-diagonal elements, while nonzero, are power-law suppressed compared to the diagonal elements. We discuss the implications of these universal properties of 2d CFTs in regard to their compatibility with ETH.

8.777255

9.011451

9.274602

8.62014

9.388547

8.699107

9.219844

9.034244

8.150297

10.55618

8.722554

8.608943

8.733612

8.398694

8.557501

8.576882

8.865576

8.538787

8.153572

8.570546

8.553593

1006.2170

Andrei Linde

Andrei Linde, Mahdiyar Noorbala

Measure Problem for Eternal and Non-Eternal Inflation

9 pages, 4 figures

JCAP 1009:008,2010

10.1088/1475-7516/2010/09/008

null

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

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

We study various probability measures for eternal inflation by applying their regularization prescriptions to models where inflation is not eternal. For simplicity we work with a toy model describing inflation that can interpolate between eternal and non-eternal inflation by continuous variation of a parameter. We investigate whether the predictions of four different measures (proper time, scale factor cutoff, stationary and causal {diamond}) change continuously with the change of this parameter. We will show that {only} for the stationary measure the predictions change continuously. For the proper-time and the scale factor cutoff, the predictions are strongly discontinuous. For the causal diamond measure, the predictions are continuous only if the stage of the slow-roll inflation is sufficiently long.

[ { "created": "Thu, 10 Jun 2010 23:22:00 GMT", "version": "v1" }, { "created": "Wed, 11 Aug 2010 17:09:29 GMT", "version": "v2" } ]

2014-11-21

[ [ "Linde", "Andrei", "" ], [ "Noorbala", "Mahdiyar", "" ] ]

We study various probability measures for eternal inflation by applying their regularization prescriptions to models where inflation is not eternal. For simplicity we work with a toy model describing inflation that can interpolate between eternal and non-eternal inflation by continuous variation of a parameter. We investigate whether the predictions of four different measures (proper time, scale factor cutoff, stationary and causal {diamond}) change continuously with the change of this parameter. We will show that {only} for the stationary measure the predictions change continuously. For the proper-time and the scale factor cutoff, the predictions are strongly discontinuous. For the causal diamond measure, the predictions are continuous only if the stage of the slow-roll inflation is sufficiently long.

12.215313

12.295534

11.935908

10.592438

11.481615

10.875736

12.313221

11.451632

11.922274

12.043242

10.901221

11.090555

11.501997

11.012898

11.439009

11.836259

11.398375

11.113442

11.65799

11.302819

10.932326

hep-th/0512059

Jen-Tsung Hsiang

Jen-Tsung Hsiang, Da-Shin Lee

Influence on electron coherence from quantum electromagnetic fields in the presence of conducting plates

29 pages, 3 figures

Phys.Rev.D73:065022,2006

10.1103/PhysRevD.73.065022

null

hep-th quant-ph

null

The influence of electromagnetic vacuum fluctuations in the presence of the perfectly conducting plate on electrons is studied with an interference experiment. The evolution of the reduced density matrix of the electron is derived by the method of influence functional. We find that the plate boundary anisotropically modifies vacuum fluctuations that in turn affect the electron coherence. The path plane of the interference is chosen either parallel or normal to the plate. In the vicinity of the plate, we show that the coherence between electrons due to the boundary is enhanced in the parallel configuration, but reduced in the normal case. The presence of the second parallel plate is found to boost these effects. The potential relation between the amplitude change and phase shift of interference fringes is pointed out. The finite conductivity effect on electron coherence is discussed.

[ { "created": "Tue, 6 Dec 2005 03:14:48 GMT", "version": "v1" }, { "created": "Thu, 19 Jan 2006 06:00:50 GMT", "version": "v2" } ]

2008-11-26

[ [ "Hsiang", "Jen-Tsung", "" ], [ "Lee", "Da-Shin", "" ] ]

The influence of electromagnetic vacuum fluctuations in the presence of the perfectly conducting plate on electrons is studied with an interference experiment. The evolution of the reduced density matrix of the electron is derived by the method of influence functional. We find that the plate boundary anisotropically modifies vacuum fluctuations that in turn affect the electron coherence. The path plane of the interference is chosen either parallel or normal to the plate. In the vicinity of the plate, we show that the coherence between electrons due to the boundary is enhanced in the parallel configuration, but reduced in the normal case. The presence of the second parallel plate is found to boost these effects. The potential relation between the amplitude change and phase shift of interference fringes is pointed out. The finite conductivity effect on electron coherence is discussed.

11.69675

12.577239

11.200686

10.373786

12.012882

11.112958

11.22601

10.854315

10.56986

11.812113

11.680809

11.426768

11.694497

11.465255

11.276525

11.547642

11.305665

11.258695

11.599614

11.79143

11.525742

hep-th/0107259

Michael Dine

Dark Matter and Dark Energy: A Physicist's Perspective

Physics summary talk at the conference The Dark Universe: Matter, Energy and Gravity, Space Telescope Institute, April, 2001. Latex, 9 pages

null

SCIPP-01/27

hep-th

null

For physicists, recent developments in astrophysics and cosmology present exciting challenges. We are conducting "experiments" in energy regimes some of which will be probed by accelerators in the near future, and others which are inevitably the subject of more speculative theoretical investigations. Dark matter is an area where we have hope of making discoveries both with accelerator experiments and dedicated searches. Inflation and dark energy lie in regimes where presently our only hope for a fundamental understanding lies in string theory.

[ { "created": "Mon, 30 Jul 2001 21:04:43 GMT", "version": "v1" } ]

2007-05-23

[ [ "Dine", "Michael", "" ] ]

For physicists, recent developments in astrophysics and cosmology present exciting challenges. We are conducting "experiments" in energy regimes some of which will be probed by accelerators in the near future, and others which are inevitably the subject of more speculative theoretical investigations. Dark matter is an area where we have hope of making discoveries both with accelerator experiments and dedicated searches. Inflation and dark energy lie in regimes where presently our only hope for a fundamental understanding lies in string theory.

16.625326

19.532997

16.677015

15.582405

20.25666

20.57468

18.584587

16.816828

16.499065

16.871328

15.906115

16.481487

15.418342

15.845232

15.387399

16.319893

16.659632

16.79727

15.146271

16.153454

16.376524

hep-th/9808003

Elcio Abdalla

E. Abdalla, R. Banerjee and C. Molina

Screening in three-dimensional QED with arbitrary fermion mass

latex, 10 pages, 4 figures (6 ps-files)

Eur.Phys.J.C17:467-471,2000

10.1007/s100520000468

null

hep-th

null

We compute the quark--antiquark potential in three dimensional massive Quantum Electrodynamics for arbitrary fermion mass. The result indicates that screening prevails for any quark masses, contrary to the classical expectations, generalizing our previous result obtained for large masses. We also test the validity of several approximation schemes using a detailed numerical analysis. The classical result is still reproduced for small separation of the quarks.

[ { "created": "Sat, 1 Aug 1998 14:06:14 GMT", "version": "v1" } ]

2011-09-13

[ [ "Abdalla", "E.", "" ], [ "Banerjee", "R.", "" ], [ "Molina", "C.", "" ] ]

We compute the quark--antiquark potential in three dimensional massive Quantum Electrodynamics for arbitrary fermion mass. The result indicates that screening prevails for any quark masses, contrary to the classical expectations, generalizing our previous result obtained for large masses. We also test the validity of several approximation schemes using a detailed numerical analysis. The classical result is still reproduced for small separation of the quarks.

13.95696

12.71818

12.992157

12.132821

13.283702

12.737473

12.324981

11.07979

11.892143

14.513867

10.998201

12.443501

12.887207

12.194071

12.804423

13.017557

12.726509

12.312877

12.56388

13.186447

11.879239

2404.11660

Theodore Brennan

T. Daniel Brennan

Constraints on Symmetry Preserving Gapped Phases from Coupling Constant Anomalies

4 pages

null

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

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

In this note, we will characterize constraints on the possible IR phases of a given QFT by anomalies in the space of coupling constants. We will give conditions under which a coupling constant anomaly cannot be matched by a continuous family of symmetry preserving gapped phases, in which case the theory is either gapless, or exhibits spontaneous symmetry breaking or a phase transition. We additionally demonstrate examples of theories with coupling constant anomalies which can be matched by a family of symmetry preserving gapped phases without a phase transition and comment on the interpretation of our results for the spontaneous breaking of "$(-1)$-form global symmetries."

[ { "created": "Wed, 17 Apr 2024 18:00:34 GMT", "version": "v1" }, { "created": "Fri, 10 May 2024 15:15:46 GMT", "version": "v2" } ]

2024-05-13

[ [ "Brennan", "T. Daniel", "" ] ]

In this note, we will characterize constraints on the possible IR phases of a given QFT by anomalies in the space of coupling constants. We will give conditions under which a coupling constant anomaly cannot be matched by a continuous family of symmetry preserving gapped phases, in which case the theory is either gapless, or exhibits spontaneous symmetry breaking or a phase transition. We additionally demonstrate examples of theories with coupling constant anomalies which can be matched by a family of symmetry preserving gapped phases without a phase transition and comment on the interpretation of our results for the spontaneous breaking of "$(-1)$-form global symmetries."

11.440136

10.325169

13.031468

10.509345

10.994243

10.144205

9.91499

9.49262

9.589591

12.480174

10.067586

10.2946

11.238194

10.200414

9.910555

9.957939

10.536527

9.957677

10.077645

11.377829

10.100899

hep-th/9601075

Gary Gibbons

G W Gibbons

Tunelling with a Negative Cosmological Constant

36 pages, plain TEX

Nucl.Phys.B472:683-710,1996

10.1016/0550-3213(96)00207-6

DAMTP-R/96/01

hep-th gr-qc

null

The point of this paper is see what light new results in hyperbolic geometry may throw on gravitational entropy and whether gravitational entropy is relevant for the quantum origin of the univeres. We introduce some new gravitational instantons which mediate the birth from nothing of closed universes containing wormholes and suggest that they may contribute to the density matrix of the universe. We also discuss the connection between their gravitational action and the topological and volumetric entropies introduced in hyperbolic geometry. These coincide for hyperbolic 4-manifolds, and increase with increasing topological complexity of the four manifold. We raise the questions of whether the action also increases with the topological complexity of the initial 3-geometry, measured either by its three volume or its Matveev complexity. We point out, in distinction to the non-supergravity case, that universes with domains of negative cosmological constant separated by supergravity domain walls cannot be born from nothing. Finally we point out that our wormholes provide examples of the type of Perpetual Motion machines envisaged by Frolov and Novikov.

[ { "created": "Mon, 15 Jan 1996 16:04:11 GMT", "version": "v1" } ]

2016-09-06

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

The point of this paper is see what light new results in hyperbolic geometry may throw on gravitational entropy and whether gravitational entropy is relevant for the quantum origin of the univeres. We introduce some new gravitational instantons which mediate the birth from nothing of closed universes containing wormholes and suggest that they may contribute to the density matrix of the universe. We also discuss the connection between their gravitational action and the topological and volumetric entropies introduced in hyperbolic geometry. These coincide for hyperbolic 4-manifolds, and increase with increasing topological complexity of the four manifold. We raise the questions of whether the action also increases with the topological complexity of the initial 3-geometry, measured either by its three volume or its Matveev complexity. We point out, in distinction to the non-supergravity case, that universes with domains of negative cosmological constant separated by supergravity domain walls cannot be born from nothing. Finally we point out that our wormholes provide examples of the type of Perpetual Motion machines envisaged by Frolov and Novikov.

14.602116

16.486565

15.964258

14.845682

15.167281

16.555527

16.017015

15.959122

16.468922

16.962017

14.566871

14.681746

15.149549

14.827133

14.477203

14.584657

14.285254

14.408861

15.44685

15.320884

14.859149

1806.07768

Jarah Evslin

Anchoring and Binning the Coordinate Bethe Ansatz

52 pages, 10 PDF figures, v2: rewritten for clarity

null

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

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

The Coordinate Bethe Ansatz (CBA) expresses, as a sum over permutations, the matrix element of an XXX Heisenberg spin chain Hamiltonian eigenstate with a state with fixed spins. These matrix elements comprise the wave functions of the Hamiltonian eigenstates. However, as the complexity of the sum grows rapidly with the length N of the spin chain, the exact wave function in the continuum limit is too cumbersome to be exploited. In this note we provide an approximation to the CBA whose complexity does not directly depend upon N. This consists of two steps. First, we add an anchor to the argument of the exponential in the CBA. The anchor is a permutation-dependent integral multiple of 2 pi. Once anchored, the distribution of these arguments simplifies, becoming approximately Gaussian. The wave function is given by the Fourier transform of this distribution and so the calculation of the wave function reduces to the calculation of the moments of the distribution. Second, we parametrize the permutation group as a map between integers and we bin these maps. The calculation of the moments then reduces to a combinatorial exercise on the partitioning into bins. As an example we consider the matrix element between the classical and quantum ground states.

[ { "created": "Wed, 20 Jun 2018 14:37:56 GMT", "version": "v1" }, { "created": "Tue, 9 Oct 2018 09:36:21 GMT", "version": "v2" } ]

2018-10-10

[ [ "Evslin", "Jarah", "" ] ]

The Coordinate Bethe Ansatz (CBA) expresses, as a sum over permutations, the matrix element of an XXX Heisenberg spin chain Hamiltonian eigenstate with a state with fixed spins. These matrix elements comprise the wave functions of the Hamiltonian eigenstates. However, as the complexity of the sum grows rapidly with the length N of the spin chain, the exact wave function in the continuum limit is too cumbersome to be exploited. In this note we provide an approximation to the CBA whose complexity does not directly depend upon N. This consists of two steps. First, we add an anchor to the argument of the exponential in the CBA. The anchor is a permutation-dependent integral multiple of 2 pi. Once anchored, the distribution of these arguments simplifies, becoming approximately Gaussian. The wave function is given by the Fourier transform of this distribution and so the calculation of the wave function reduces to the calculation of the moments of the distribution. Second, we parametrize the permutation group as a map between integers and we bin these maps. The calculation of the moments then reduces to a combinatorial exercise on the partitioning into bins. As an example we consider the matrix element between the classical and quantum ground states.

9.425142

11.366243

10.266903

9.81065

10.485193

10.918373

10.303681

9.917842

9.745941

11.191568

9.044956

9.359982

9.627404

9.203732

8.877023

9.26412

9.160946

9.287409

9.064638

9.741086

9.115661

2108.07198

Alexei Morozov

A.Morozov

A new kind of anomaly: on W-constraints for GKM

to Andrei Mironov on occasion of his 60's birthday; 12 pages

JHEP 2021 (2021) 213

10.1007/JHEP10(2021)213

null

hep-th math-ph math.MP

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

We look for the origins of the single equation, which is a peculiar combination of W-constrains, which provides the non-abelian W-representation for generalized Kontsevich model (GKM), i.e. is enough to fix the partition function unambiguously. Namely we compare it with the scalar projection of the matrix Ward identity. It turns out that, though similar, the two equations do not coincide, moreover, the latter one is non-polynomial in time-variables. This discrepancy disappears for the cubic model if partition function is reduced to depend on odd times (belong to KdV sub-hierarchy of KP), but in general such reduction is not enough. We consider the failure of such direct interpretation of the "single equation" as a new kind of anomaly, which should be explained and eliminated in the future analysis of GKM.

[ { "created": "Mon, 16 Aug 2021 16:07:44 GMT", "version": "v1" } ]

2022-05-17

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

We look for the origins of the single equation, which is a peculiar combination of W-constrains, which provides the non-abelian W-representation for generalized Kontsevich model (GKM), i.e. is enough to fix the partition function unambiguously. Namely we compare it with the scalar projection of the matrix Ward identity. It turns out that, though similar, the two equations do not coincide, moreover, the latter one is non-polynomial in time-variables. This discrepancy disappears for the cubic model if partition function is reduced to depend on odd times (belong to KdV sub-hierarchy of KP), but in general such reduction is not enough. We consider the failure of such direct interpretation of the "single equation" as a new kind of anomaly, which should be explained and eliminated in the future analysis of GKM.

21.125496

18.383732

23.295103

17.551611

20.699568

18.554012

20.774418

17.715597

17.745899

24.035854

17.151537

17.849703

19.393061

17.775581

17.491776

17.332275

17.859838

17.548615

17.838463

19.224337

17.419872

hep-th/9605202

Chris Lassig

C. C. Lassig and G. C. Joshi

Constrained systems described by Nambu mechanics

7 pages, REVTeX

Lett.Math.Phys. 41 (1997) 59-63

null

UM-P-96/37, RCHEP-96/4

hep-th

null

Using the framework of Nambu's generalised mechanics, we obtain a new description of constrained Hamiltonian dynamics, involving the introduction of another degree of freedom in phase space, and the necessity of defining the action integral on a world sheet. We also discuss the problem of quantising Nambu mechanics.

[ { "created": "Wed, 29 May 1996 04:25:03 GMT", "version": "v1" } ]

2007-05-23

[ [ "Lassig", "C. C.", "" ], [ "Joshi", "G. C.", "" ] ]

Using the framework of Nambu's generalised mechanics, we obtain a new description of constrained Hamiltonian dynamics, involving the introduction of another degree of freedom in phase space, and the necessity of defining the action integral on a world sheet. We also discuss the problem of quantising Nambu mechanics.

11.067664

9.941525

11.774203

9.864132

9.32118

10.591342

10.423278

10.502785

10.328644

13.594541

10.176522

10.028908

12.207386

10.303595

10.058241

10.056459

9.828152

10.3262

10.901184

11.667149

9.704562

2111.07816

Jean-Luc Lehners

Allowable complex metrics in minisuperspace quantum cosmology

8 pages, 5 figures, v2: published version, typo corrected

null

10.1103/PhysRevD.105.026022

null

hep-th gr-qc

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

Kontsevich and Segal (K-S) have proposed a criterion to determine which complex metrics should be allowed, based on the requirement that quantum field theories may consistently be defined on these metrics, and Witten has recently suggested that their proposal should also apply to gravity. We explore this criterion in the context of gravitational path integrals, in simple minisuperspace models, specifically considering de Sitter (dS), no-boundary and Anti-de Sitter (AdS) examples. These simple examples allow us to gain some understanding of the off-shell structure of gravitational path integrals. In all cases, we find that the saddle points of the integral lie right at the edge of the allowable domain of metrics, even when the saddle points are complex or Euclidean. Moreover the Lefschetz thimbles, in particular the steepest descent contours for the lapse integral, are cut off as they intrude into the domain of non-allowable metrics. In the AdS case, the implied restriction on the integration contour is found to have a simple physical interpretation. In the dS case, the lapse integral is forced to become asymptotically Euclidean. We also point out that the K-S criterion provides a reason, in the context of the no-boundary proposal, for why scalar fields would start their evolution at local extrema of their potential.

[ { "created": "Mon, 15 Nov 2021 14:59:58 GMT", "version": "v1" }, { "created": "Fri, 11 Feb 2022 12:46:17 GMT", "version": "v2" } ]

2022-02-14

[ [ "Lehners", "Jean-Luc", "" ] ]

Kontsevich and Segal (K-S) have proposed a criterion to determine which complex metrics should be allowed, based on the requirement that quantum field theories may consistently be defined on these metrics, and Witten has recently suggested that their proposal should also apply to gravity. We explore this criterion in the context of gravitational path integrals, in simple minisuperspace models, specifically considering de Sitter (dS), no-boundary and Anti-de Sitter (AdS) examples. These simple examples allow us to gain some understanding of the off-shell structure of gravitational path integrals. In all cases, we find that the saddle points of the integral lie right at the edge of the allowable domain of metrics, even when the saddle points are complex or Euclidean. Moreover the Lefschetz thimbles, in particular the steepest descent contours for the lapse integral, are cut off as they intrude into the domain of non-allowable metrics. In the AdS case, the implied restriction on the integration contour is found to have a simple physical interpretation. In the dS case, the lapse integral is forced to become asymptotically Euclidean. We also point out that the K-S criterion provides a reason, in the context of the no-boundary proposal, for why scalar fields would start their evolution at local extrema of their potential.

8.783001

8.750061

8.697708

7.891836

8.33068

8.689966

8.344372

8.376725

8.29504

9.348125

8.514535

8.170592

8.348357

8.121623

8.278596

8.325235

8.333151

8.139782

8.137463

8.358224

8.276937

hep-th/0408072

Vatche Sahakian

Duane Loh, Kit Rodolfa, Vatche Sahakian

A note on non-commutative dynamics of spinning D0 branes

20 pages, 1 figure, v2: typos corrected, citations added; v3: numerical analysis added, minor editing of discussion section; v4: citations added; v5: numerical analysis removed, final version

null

hep-th

null

Rotational dynamics is known to polarize D0 branes into higher dimensional fuzzy D$p$-branes: the tension forces between D0 branes provide the centripetal acceleration, and a puffed up spinning configuration stabilizes. In this work, we consider a rotating cylindrical formation of finite height, wrapping a compact cycle of the background space along the axis of rotation. We find an intriguing relation between the angular speed, the geometry of the cylinder, and the scale of non-commutativity; and we point out a critical radius corresponding to the case where the area of the cylinder is proportional to the number of D0 branes - reminiscent of Matrix black holes.

[ { "created": "Tue, 10 Aug 2004 02:30:41 GMT", "version": "v1" }, { "created": "Mon, 16 Aug 2004 04:45:46 GMT", "version": "v2" }, { "created": "Wed, 9 Feb 2005 23:30:49 GMT", "version": "v3" }, { "created": "Sun, 10 Apr 2005 23:39:20 GMT", "version": "v4" }, { "created": "Wed, 18 May 2005 01:40:58 GMT", "version": "v5" } ]

2007-05-23

[ [ "Loh", "Duane", "" ], [ "Rodolfa", "Kit", "" ], [ "Sahakian", "Vatche", "" ] ]

Rotational dynamics is known to polarize D0 branes into higher dimensional fuzzy D$p$-branes: the tension forces between D0 branes provide the centripetal acceleration, and a puffed up spinning configuration stabilizes. In this work, we consider a rotating cylindrical formation of finite height, wrapping a compact cycle of the background space along the axis of rotation. We find an intriguing relation between the angular speed, the geometry of the cylinder, and the scale of non-commutativity; and we point out a critical radius corresponding to the case where the area of the cylinder is proportional to the number of D0 branes - reminiscent of Matrix black holes.

17.649572

16.139074

18.952896

15.257103

14.704794

16.393158

16.365128

15.710866

13.88486

18.822206

15.746405

14.089454

18.235872

15.834095

14.845035

14.39072

14.513675

14.871604

15.594573

17.779728

14.685909

hep-th/9908042

Haruhiko Terao

Ken-Ichi Aoki (Kanazawa U.), Keiichi Morikawa (Kanazawa U.), Jun-Ichi Sumi (Kyoto U.), Haruhiko Terao (Kanazawa U.), Masashi Tomoyose (Kanazawa U.)

Wilson Renormalization Group Equations for the Critical Dynamics of Chiral Symmetry

13 pages, 7 epsf figures

Prog.Theor.Phys.102:1151-1162,1999

10.1143/PTP.102.1151

KANAZAWA-99-11, KUCP-0139

hep-th hep-ph

null

The critical dynamics of the chiral symmetry breaking induced by gauge interaction is examined in the Wilson renormalization group framework in comparison with the Schwinger-Dyson approach. We derive the beta functions for the four-fermi couplings in the sharp cutoff renormalzation group scheme, from which the critical couplings and the anomalous dimensions of the fermion composite operators near criticality are immediately obtained. It is also shown that the beta functions lead to the same critical behavior found by solving the so-called ladder Schwinger-Dyson equation, if we restrict the radiative corrections to a certain limited type.

[ { "created": "Thu, 5 Aug 1999 02:43:23 GMT", "version": "v1" } ]

2014-11-18

[ [ "Aoki", "Ken-Ichi", "", "Kanazawa U." ], [ "Morikawa", "Keiichi", "", "Kanazawa U." ], [ "Sumi", "Jun-Ichi", "", "Kyoto U." ], [ "Terao", "Haruhiko", "", "Kanazawa U." ], [ "Tomoyose", "Masashi", "", "Kanazawa U." ] ]

The critical dynamics of the chiral symmetry breaking induced by gauge interaction is examined in the Wilson renormalization group framework in comparison with the Schwinger-Dyson approach. We derive the beta functions for the four-fermi couplings in the sharp cutoff renormalzation group scheme, from which the critical couplings and the anomalous dimensions of the fermion composite operators near criticality are immediately obtained. It is also shown that the beta functions lead to the same critical behavior found by solving the so-called ladder Schwinger-Dyson equation, if we restrict the radiative corrections to a certain limited type.

8.851864

9.70876

8.486139

7.882184

8.995271

8.863765

8.865354

8.279976

8.228552

8.811659

8.49114

8.629564

8.877452

8.681254

8.415329

8.548777

8.42335

8.257849

8.934702

8.954924

8.561147

1107.4802

John Joseph Carrasco

Johannes Broedel and John Joseph M. Carrasco

Virtuous Trees at Five and Six Points for Yang-Mills and Gravity

11 pages (double-column), 4 figures

Physical Review D (Vol.84, No.8), 15 Oct 2011

10.1103/PhysRevD.84.085009

SU-ITP-11/33 , NSF-KITP-11-124

hep-th

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

We present a particularly nice D-dimensional graph-based representation of the full color-dressed five-point tree-level gluon amplitude. It possesses the following virtues: 1) it satisfies the color-kinematic correspondence, and thus trivially generates the associated five-point graviton amplitude, 2) all external state information is encoded in color-ordered partial amplitudes, and 3) one function determines the kinematic contribution of all graphs in the Yang-Mills amplitude, so the associated gravity amplitude is manifestly permutation symmetric. The third virtue, while shared among all known loop-level correspondence-satisfying representations, is novel for tree-level representations sharing the first two virtues. This new D-dimensional representation makes contact with the recently found multiloop five-point representations, suggesting all-loop, all-multiplicity ramifications through unitarity. Additionally we present a slightly less virtuous representation of the six-point MHV and MHVbar amplitudes which holds only in four dimensions.

[ { "created": "Sun, 24 Jul 2011 21:33:41 GMT", "version": "v1" } ]

2011-10-12

[ [ "Broedel", "Johannes", "" ], [ "Carrasco", "John Joseph M.", "" ] ]

We present a particularly nice D-dimensional graph-based representation of the full color-dressed five-point tree-level gluon amplitude. It possesses the following virtues: 1) it satisfies the color-kinematic correspondence, and thus trivially generates the associated five-point graviton amplitude, 2) all external state information is encoded in color-ordered partial amplitudes, and 3) one function determines the kinematic contribution of all graphs in the Yang-Mills amplitude, so the associated gravity amplitude is manifestly permutation symmetric. The third virtue, while shared among all known loop-level correspondence-satisfying representations, is novel for tree-level representations sharing the first two virtues. This new D-dimensional representation makes contact with the recently found multiloop five-point representations, suggesting all-loop, all-multiplicity ramifications through unitarity. Additionally we present a slightly less virtuous representation of the six-point MHV and MHVbar amplitudes which holds only in four dimensions.

16.71122

16.724867

19.356756

16.187653

16.802605

16.059826

16.430502

16.253288

16.914885

18.778318

16.374752

15.833696

16.279341

15.886232

15.866527

15.768006

15.920323

15.516438

15.585024

16.914165

15.899764

hep-th/0406255

Toufik Djama

T. Djama

2D(1+1) Quantum Gravity. Gravitational Quantum Stationary Hamilton-Jacobi Equation

Latex, no figures, 19 pages

null

hep-th

null

In the present article, we construct a 2D formulation of quantum gravity in the framework of a deterministic theory. In this context, a Quantum stationary Hamilton-Jacobi equation is derived from the Klein- Gordon equation written in the presence of a gravitational field. We show that this equation reduces to the Quantum stationary Hamilton- Jacobi equation when the gravitational field is not present in the 2D time-space. As a second step, we introduce the quantum gravitational Lagrangian for the quantum motion of a particle moving in the presence of a gravitational field. We, deduce the relationship between the gravitational quantum conjugate momentum and the velocity of the particle.

[ { "created": "Mon, 28 Jun 2004 12:11:47 GMT", "version": "v1" } ]

2007-05-23

[ [ "Djama", "T.", "" ] ]

In the present article, we construct a 2D formulation of quantum gravity in the framework of a deterministic theory. In this context, a Quantum stationary Hamilton-Jacobi equation is derived from the Klein- Gordon equation written in the presence of a gravitational field. We show that this equation reduces to the Quantum stationary Hamilton- Jacobi equation when the gravitational field is not present in the 2D time-space. As a second step, we introduce the quantum gravitational Lagrangian for the quantum motion of a particle moving in the presence of a gravitational field. We, deduce the relationship between the gravitational quantum conjugate momentum and the velocity of the particle.

9.131587

9.536149

8.753672

8.821978

9.120199

8.892539

8.792392

8.527114

8.325098

8.735123

8.629435

8.683582

8.137121

8.177426

8.526958

8.456274

8.339983

8.285717

8.539514

8.39928

8.443782

hep-th/9903095

Kimyeong Lee

Massless Monopoles and Multipronged Strings

10 pages, LaTex file, more comments added. (To appear in Phys. Lett. B)

Phys.Lett. B458 (1999) 53-60

10.1016/S0370-2693(99)00569-9

SNUTP-99-012, KIAS-P99015

hep-th

null

We investigate the role of massless magnetic monopoles in the N=4 supersymmetric Yang-Mills Higgs theories. They can appear naturally in the 1/4-BPS dyonic configurations associated with multi-pronged string configurations. Massless magnetic monopoles can carry nonabelian electric charge when their associated gauge symmetry is unbroken. Surprisingly, massless monopoles can also appear even when the gauge symmetry is broken to abelian subgroups.

[ { "created": "Thu, 11 Mar 1999 04:41:28 GMT", "version": "v1" }, { "created": "Wed, 12 May 1999 00:14:59 GMT", "version": "v2" } ]

2009-10-31

[ [ "Lee", "Kimyeong", "" ] ]

We investigate the role of massless magnetic monopoles in the N=4 supersymmetric Yang-Mills Higgs theories. They can appear naturally in the 1/4-BPS dyonic configurations associated with multi-pronged string configurations. Massless magnetic monopoles can carry nonabelian electric charge when their associated gauge symmetry is unbroken. Surprisingly, massless monopoles can also appear even when the gauge symmetry is broken to abelian subgroups.

8.581708

7.597813

7.965335

7.23807

7.312912

7.781059

7.402466

7.092894

7.41537

9.626607

7.38191

7.753481

7.947579

7.921269

7.608997

7.905581

7.837603

7.941166

7.985141

8.643333

7.582964

0910.4650

Brandon Carter

Fields in Nonaffine Bundles. I. The general bitensorially covariant differentiation procedure

17 page Latex file with some minor misprint corrections and added color for article originally published in black and white

Phys.Rev.D33:983-990,1986

10.1103/PhysRevD.33.983

null

hep-th

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

The standard covariant differentiation procedure for fields in vector bundles is generalised so as to be applicable to fields in general nonaffine bundles in which the fibres may have an arbitrary nonlinear structure. In addition to the usual requirement that the base space should be flat or endowed with its own linear connection, and that there should be an ordinary gauge connection on the bundle, it is necessary to require also that there should be an intrinsic, bundle-group invariant connection on the fibre space. The procedure is based on the use of an appropriate primary-field (i.e. section) independent connector that is constructed in terms of the natural fibre-tangent-vector realisation of the gauge connection. The application to gauged harmonic mappings will be described in a following article.

[ { "created": "Sat, 24 Oct 2009 13:38:19 GMT", "version": "v1" } ]

2009-10-29

[ [ "Carter", "Brandon", "" ] ]

The standard covariant differentiation procedure for fields in vector bundles is generalised so as to be applicable to fields in general nonaffine bundles in which the fibres may have an arbitrary nonlinear structure. In addition to the usual requirement that the base space should be flat or endowed with its own linear connection, and that there should be an ordinary gauge connection on the bundle, it is necessary to require also that there should be an intrinsic, bundle-group invariant connection on the fibre space. The procedure is based on the use of an appropriate primary-field (i.e. section) independent connector that is constructed in terms of the natural fibre-tangent-vector realisation of the gauge connection. The application to gauged harmonic mappings will be described in a following article.

13.701656

14.771651

15.096879

13.564097

14.30447

15.82288

14.709075

15.704054

13.421096

15.828755

14.286808

14.182015

13.938543

13.54787

13.447401

13.69329

13.491999

13.583535

13.36657

13.581236

13.51844

0802.0202

Keshav Dasgupta

Keshav Dasgupta, Paul Franche, Anke Knauf, James Sully

D-terms on the resolved conifold

55 pages, Latex, no figures; v2: Typos corrected and references added; v3: a comment and references added, and typos corrected. Final version to appear in JHEP

JHEP 0904:027,2009

10.1088/1126-6708/2009/04/027

null

hep-th

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

We derive a novel deformation of the warped resolved conifold background with supersymmetry breaking ISD (1,2) fluxes by adding D7-branes to this type IIB theory. We find spontaneous supersymmetry breaking without generating a bulk cosmological constant. In the compactified form, our background will no longer be a Calabi-Yau manifold as it allows a non-vanishing first Chern class. In the presence of D7-branes the (1,2) fluxes can give rise to non-trivial D-terms. We study the Ouyang embedding of D7-branes in detail and find that in this case the D-terms are indeed non-zero. In the limit when we approach the singular conifold, the D-terms vanish for Ouyang's embedding, although supersymmetry appears to be broken. We also construct the F-theory lift of our background and demonstrate how these IIB (1,2) fluxes lift to non-primitive (2,2) flux on the fourfold. The seven branes correspond to normalisable harmonic forms. We briefly sketch a possible way to attain an inflaton potential in this background once extra D3-branes are introduced and point out some possibilities of restoring supersymmetry in our background that could in principle be used as the end point of the inflationary set-up. In a companion paper we will analyse in details the inflationary dynamics in this background.

[ { "created": "Fri, 1 Feb 2008 21:19:47 GMT", "version": "v1" }, { "created": "Mon, 17 Mar 2008 16:15:49 GMT", "version": "v2" }, { "created": "Fri, 13 Mar 2009 15:53:30 GMT", "version": "v3" } ]

2009-04-17

[ [ "Dasgupta", "Keshav", "" ], [ "Franche", "Paul", "" ], [ "Knauf", "Anke", "" ], [ "Sully", "James", "" ] ]

We derive a novel deformation of the warped resolved conifold background with supersymmetry breaking ISD (1,2) fluxes by adding D7-branes to this type IIB theory. We find spontaneous supersymmetry breaking without generating a bulk cosmological constant. In the compactified form, our background will no longer be a Calabi-Yau manifold as it allows a non-vanishing first Chern class. In the presence of D7-branes the (1,2) fluxes can give rise to non-trivial D-terms. We study the Ouyang embedding of D7-branes in detail and find that in this case the D-terms are indeed non-zero. In the limit when we approach the singular conifold, the D-terms vanish for Ouyang's embedding, although supersymmetry appears to be broken. We also construct the F-theory lift of our background and demonstrate how these IIB (1,2) fluxes lift to non-primitive (2,2) flux on the fourfold. The seven branes correspond to normalisable harmonic forms. We briefly sketch a possible way to attain an inflaton potential in this background once extra D3-branes are introduced and point out some possibilities of restoring supersymmetry in our background that could in principle be used as the end point of the inflationary set-up. In a companion paper we will analyse in details the inflationary dynamics in this background.

8.580345

8.418382

9.740463

8.714145

8.433225

8.500101

8.795759

8.148377

8.350588

9.934044

8.596079

8.355973

8.786713

8.518273

8.425054

8.226325

8.531218

8.38998

8.593503

8.848551

8.599954

1708.07167

Guglielmo Fucci Dr.

Guglielmo Fucci

The Casimir effect for pistons with transmittal boundary conditions

20 pages, LaTeX

Int. J. Mod. Phys. A, 32, 1750182 (2017)

10.1142/S0217751X17501822

null

hep-th

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

This work focuses on the analysis of the Casimir effect for pistons subject to transmittal boundary conditions. In particular we consider, as piston configuration, a direct product manifold of the type $I\times N$ where $I$ is a closed interval of the real line and $N$ is a smooth compact Riemannian manifold. By utilizing the spectral zeta function regularization technique, we compute the Casimir energy of the system and the Casimir force acting on the piston. Explicit results for the force are provided when the manifold $N$ is a $d$-dimensional ball.

[ { "created": "Wed, 23 Aug 2017 19:56:41 GMT", "version": "v1" } ]

2017-11-15

[ [ "Fucci", "Guglielmo", "" ] ]

This work focuses on the analysis of the Casimir effect for pistons subject to transmittal boundary conditions. In particular we consider, as piston configuration, a direct product manifold of the type $I\times N$ where $I$ is a closed interval of the real line and $N$ is a smooth compact Riemannian manifold. By utilizing the spectral zeta function regularization technique, we compute the Casimir energy of the system and the Casimir force acting on the piston. Explicit results for the force are provided when the manifold $N$ is a $d$-dimensional ball.

5.158743

4.245279

5.539891

4.603264

4.425256

4.536527

4.412025

4.746355

5.1016

6.116112

4.557886

4.912039

5.485597

5.195379

4.899734

5.036968

4.915439

5.029254

4.92598

5.495312

4.797907

1105.3735

Kurt Hinterbichler

Theoretical Aspects of Massive Gravity

141 pages. Expanded version of an article invited for Reviews of Modern Physics. v2 corrections, updated with new developments

Rev. Mod. Phys. 84, 671-710 (2012)

10.1103/RevModPhys.84.671

null

hep-th gr-qc

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

Massive gravity has seen a resurgence of interest due to recent progress which has overcome its traditional problems, yielding an avenue for addressing important open questions such as the cosmological constant naturalness problem. The possibility of a massive graviton has been studied on and off for the past 70 years. During this time, curiosities such as the vDVZ discontinuity and the Boulware-Deser ghost were uncovered. We re-derive these results in a pedagogical manner, and develop the St\"ukelberg formalism to discuss them from the modern effective field theory viewpoint. We review recent progress of the last decade, including the dissolution of the vDVZ discontinuity via the Vainshtein screening mechanism, the existence of a consistent effective field theory with a stable hierarchy between the graviton mass and the cutoff, and the existence of particular interactions which raise the maximal effective field theory cutoff and remove the ghosts. In addition, we review some peculiarities of massive gravitons on curved space, novel theories in three dimensions, and examples of the emergence of a massive graviton from extra-dimensions and brane worlds.

[ { "created": "Wed, 18 May 2011 20:02:42 GMT", "version": "v1" }, { "created": "Sun, 2 Oct 2011 21:31:06 GMT", "version": "v2" } ]

2015-03-19

[ [ "Hinterbichler", "Kurt", "" ] ]

Massive gravity has seen a resurgence of interest due to recent progress which has overcome its traditional problems, yielding an avenue for addressing important open questions such as the cosmological constant naturalness problem. The possibility of a massive graviton has been studied on and off for the past 70 years. During this time, curiosities such as the vDVZ discontinuity and the Boulware-Deser ghost were uncovered. We re-derive these results in a pedagogical manner, and develop the St\"ukelberg formalism to discuss them from the modern effective field theory viewpoint. We review recent progress of the last decade, including the dissolution of the vDVZ discontinuity via the Vainshtein screening mechanism, the existence of a consistent effective field theory with a stable hierarchy between the graviton mass and the cutoff, and the existence of particular interactions which raise the maximal effective field theory cutoff and remove the ghosts. In addition, we review some peculiarities of massive gravitons on curved space, novel theories in three dimensions, and examples of the emergence of a massive graviton from extra-dimensions and brane worlds.

8.614003

8.658388

8.841162

8.212563

8.860536

8.665784

8.919765

9.100876

8.587089

10.059563

8.291339

8.689394

8.879248

8.43978

8.848598

8.506494

8.456446

8.40659

8.457659

8.839242

8.751708

hep-th/9506205

A. A. Kehagias

Alexandros A. Kehagias

Infinite-dimensional algebras in dimensionally reduced string theory

13 pages, Latex

Phys.Lett.B360:19-25,1995

10.1016/0370-2693(95)01149-K

NTUA-51/95

hep-th

null

We examine 4-dimensional string backgrounds compactified over a two torus. There exist two alternative effective Lagrangians containing each two $SL(2)/U(1)$ sigma-models. Two of these sigma-models are the complex and the K\"ahler structures on the torus. The effective Lagrangians are invariant under two different $O(2,2)$ groups and by the successive applications of these groups the affine $\widehat{O}(2,2)$ Kac-Moody is emerged. The latter has also a non-zero central term which generates constant Weyl rescalings of the reduced 2-dimensional background. In addition, there exists a number of discrete symmetries relating the field content of the reduced effective Lagrangians.

[ { "created": "Fri, 30 Jun 1995 15:12:54 GMT", "version": "v1" } ]

2010-11-19

[ [ "Kehagias", "Alexandros A.", "" ] ]

We examine 4-dimensional string backgrounds compactified over a two torus. There exist two alternative effective Lagrangians containing each two $SL(2)/U(1)$ sigma-models. Two of these sigma-models are the complex and the K\"ahler structures on the torus. The effective Lagrangians are invariant under two different $O(2,2)$ groups and by the successive applications of these groups the affine $\widehat{O}(2,2)$ Kac-Moody is emerged. The latter has also a non-zero central term which generates constant Weyl rescalings of the reduced 2-dimensional background. In addition, there exists a number of discrete symmetries relating the field content of the reduced effective Lagrangians.

10.552372

10.789267

12.527765

10.110271

10.29985

10.599648

10.092043

9.831056

10.159238

12.342616

10.058977

10.090231

10.477997

9.815644

9.826976

10.028886

9.751596

10.050138

10.234518

10.180061

9.832059

1107.6033

Girma Hailu

Gravity Dual to Pure N=1 SU(N) Gauge Theory

28 pages, PDFLaTeX

Phys.Rev. D84 (2011) 106008

10.1103/PhysRevD.84.106008

null

hep-th

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

A correspondence between type IIB string theory with N D7-branes on R^{1,3} x C^1/Z_2 x T^2/Z_2 x T^2/Z_2 and pure N=1 SU(N) gauge theory in four dimensions is proposed and argued. First the supergravity background of unwrapped and flat D7-branes with running axion and dilaton on R^{1,7} x C^1/Z_2 is studied together with the corresponding N=1 SU(N) gauge theory in eight dimensions. The D7-branes are then wrapped over a 4-cycle on T^2/Z_2 x T^2/Z_2 which turns on all F_1, F_3, H_3, and F_5 fluxes of type IIB theory and induces torsion. The supergravity solutions are explicitly constructed with exact analytic expressions for all components of the metric and the fluxes. The background geometry of the four-dimensional gauge theory is compact and conformally Calabi-Yau. The internal space normal to the wrapped D7-branes at the infrared boundary is S^1 whose radius is set by the nonperturbative scale of the gauge theory and spacetime is R^{1,3} at the ultraviolet boundary. The gauge coupling of the four-dimensional gauge theory is related to the gauge coupling of the eight-dimensional gauge theory and the volume of the 4-cycle. The gravity theory reproduces the renormalization group flow and the pattern of chiral symmetry breaking of the gauge theory and leads to confinement. The curvature is small and nearly constant and the supergravity flow is smooth in the infrared region where the gauge theory is strongly coupled and a dual gravity description is useful. String loop corrections are small for large N. The scale of string tension in four dimensions is of the same order as the scale of Kaluza-Klein masses.

[ { "created": "Fri, 29 Jul 2011 18:21:13 GMT", "version": "v1" } ]

2013-05-29

[ [ "Hailu", "Girma", "" ] ]

A correspondence between type IIB string theory with N D7-branes on R^{1,3} x C^1/Z_2 x T^2/Z_2 x T^2/Z_2 and pure N=1 SU(N) gauge theory in four dimensions is proposed and argued. First the supergravity background of unwrapped and flat D7-branes with running axion and dilaton on R^{1,7} x C^1/Z_2 is studied together with the corresponding N=1 SU(N) gauge theory in eight dimensions. The D7-branes are then wrapped over a 4-cycle on T^2/Z_2 x T^2/Z_2 which turns on all F_1, F_3, H_3, and F_5 fluxes of type IIB theory and induces torsion. The supergravity solutions are explicitly constructed with exact analytic expressions for all components of the metric and the fluxes. The background geometry of the four-dimensional gauge theory is compact and conformally Calabi-Yau. The internal space normal to the wrapped D7-branes at the infrared boundary is S^1 whose radius is set by the nonperturbative scale of the gauge theory and spacetime is R^{1,3} at the ultraviolet boundary. The gauge coupling of the four-dimensional gauge theory is related to the gauge coupling of the eight-dimensional gauge theory and the volume of the 4-cycle. The gravity theory reproduces the renormalization group flow and the pattern of chiral symmetry breaking of the gauge theory and leads to confinement. The curvature is small and nearly constant and the supergravity flow is smooth in the infrared region where the gauge theory is strongly coupled and a dual gravity description is useful. String loop corrections are small for large N. The scale of string tension in four dimensions is of the same order as the scale of Kaluza-Klein masses.

6.054125

6.228318

6.554679

5.724698

6.116415

6.045888

5.984892

5.821365

5.752743

6.751912

5.785343

5.658772

5.789441

5.61499

5.760438

5.774737

5.690329

5.723774

5.438349

5.927341

5.617873

2402.07589

Ryotaku Suzuki

Ryotaku Suzuki and Shinya Tomizawa

New construction of a charged dipole black ring by Harrison transformation

22 pages, 9 figures; v2: minor corrections; v3: minor corrections, published version

null

10.1103/PhysRevD.109.084020

TTI-MATHPHYS-25

hep-th gr-qc

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

We present an exact solution for a non-BPS charged rotating black ring endowed with a dipole charge in the bosonic sector of five-dimensional minimal supergravity. Utilizing the electric Harrison transformation, we derive this solution by converting a five-dimensional vacuum solution into a charged solution within the realm of five-dimensional minimal supergravity. As the seed solution for the Harrison transformation, we use a vacuum solution of a rotating black ring possessing a Dirac-Misner string singularity. The resulting solution exhibits regularity, indicating the absence of curvature singularities, conical singularities, orbifold singularities, Dirac-Misner string singularities, and closed timelike curves both on and outside the horizon. This obtained solution carries mass, two angular momenta, an electric charge, and a dipole charge, with only three of these quantities being independent, similar to the charged rotating dipole black ring found previously by Elvang, Emparan and Figueras. However, aside from the vacuum case, these two solutions do not coincide. We discuss the difference between them in the phase space.

[ { "created": "Mon, 12 Feb 2024 11:42:15 GMT", "version": "v1" }, { "created": "Fri, 16 Feb 2024 06:48:21 GMT", "version": "v2" }, { "created": "Wed, 10 Apr 2024 14:31:24 GMT", "version": "v3" } ]

2024-04-11

[ [ "Suzuki", "Ryotaku", "" ], [ "Tomizawa", "Shinya", "" ] ]

We present an exact solution for a non-BPS charged rotating black ring endowed with a dipole charge in the bosonic sector of five-dimensional minimal supergravity. Utilizing the electric Harrison transformation, we derive this solution by converting a five-dimensional vacuum solution into a charged solution within the realm of five-dimensional minimal supergravity. As the seed solution for the Harrison transformation, we use a vacuum solution of a rotating black ring possessing a Dirac-Misner string singularity. The resulting solution exhibits regularity, indicating the absence of curvature singularities, conical singularities, orbifold singularities, Dirac-Misner string singularities, and closed timelike curves both on and outside the horizon. This obtained solution carries mass, two angular momenta, an electric charge, and a dipole charge, with only three of these quantities being independent, similar to the charged rotating dipole black ring found previously by Elvang, Emparan and Figueras. However, aside from the vacuum case, these two solutions do not coincide. We discuss the difference between them in the phase space.

7.027295

5.878046

7.329859

6.118307

6.312414

5.792513

6.758375

5.62897

5.953855

8.052665

6.189779

6.346663

7.022844

6.595889

6.532983

6.702963

6.516806

6.240764

6.4964

6.803285

6.572102

1907.13149

Mahdiyar Noorbala

Mahdiyar Noorbala and Hassan Firouzjahi

Boundary Crossing in Stochastic Inflation with Critical Number of Fields

22 pages, 7 figures; minor changes, reference added

Phys. Rev. D 100, 083510 (2019)

10.1103/PhysRevD.100.083510

null

hep-th astro-ph.CO cond-mat.stat-mech gr-qc math-ph math.MP

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

We study boundary crossing probability in the context of stochastic inflation. We prove that for a generic multi-field inflationary potential, the probability that the inflaton reaches infinitely far regions in the field space is critically dependent on the number of fields, being nonzero for more than two fields, and zero otherwise. We also provide several examples where the boundary crossing probability can be calculated exactly, most notably, for a particular landscape of a two-field model with a multi-well potential.

[ { "created": "Tue, 30 Jul 2019 18:00:34 GMT", "version": "v1" }, { "created": "Wed, 9 Oct 2019 17:46:59 GMT", "version": "v2" } ]

2019-10-10

[ [ "Noorbala", "Mahdiyar", "" ], [ "Firouzjahi", "Hassan", "" ] ]

We study boundary crossing probability in the context of stochastic inflation. We prove that for a generic multi-field inflationary potential, the probability that the inflaton reaches infinitely far regions in the field space is critically dependent on the number of fields, being nonzero for more than two fields, and zero otherwise. We also provide several examples where the boundary crossing probability can be calculated exactly, most notably, for a particular landscape of a two-field model with a multi-well potential.

9.973157

9.956436

8.635099

9.515854

10.852126

8.652236

9.406466

8.582248

9.605035

9.864884

9.402175

9.732483

9.150009

9.289464

9.441693

9.785643

9.874317

9.296871

9.370431

8.85327

9.626487

1707.06224

Kuo-Wei Huang

Christopher P. Herzog and Kuo-Wei Huang

Boundary Conformal Field Theory and a Boundary Central Charge

75 pages, 4 figures; v2: references added. v3: comments on anomalous dimension and references added. v4: minor corrections, published version

JHEP 10 (2017) 189

10.1007/JHEP10(2017)189

null

hep-th cond-mat.str-el

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

We consider the structure of current and stress tensor two-point functions in conformal field theory with a boundary. The main result of this paper is a relation between a boundary central charge and the coefficient of a displacement operator correlation function in the boundary limit. The boundary central charge under consideration is the coefficient of the product of the extrinsic curvature and the Weyl curvature in the conformal anomaly. Along the way, we describe several auxiliary results. Three of the more notable are as follows: (1) we give the bulk and boundary conformal blocks for the current two-point function; (2) we show that the structure of these current and stress tensor two-point functions is essentially universal for all free theories; (3) we introduce a class of interacting conformal field theories with boundary degrees of freedom, where the interactions are confined to the boundary. The most interesting example we consider can be thought of as the infrared fixed point of graphene. This particular interacting conformal model in four dimensions provides a counterexample of a previously conjectured relation between a boundary central charge and a bulk central charge. The model also demonstrates that the boundary central charge can change in response to marginal deformations.

[ { "created": "Wed, 19 Jul 2017 18:06:17 GMT", "version": "v1" }, { "created": "Tue, 15 Aug 2017 23:01:45 GMT", "version": "v2" }, { "created": "Thu, 5 Oct 2017 17:15:07 GMT", "version": "v3" }, { "created": "Thu, 26 Oct 2017 17:30:43 GMT", "version": "v4" } ]

2017-12-06

[ [ "Herzog", "Christopher P.", "" ], [ "Huang", "Kuo-Wei", "" ] ]

We consider the structure of current and stress tensor two-point functions in conformal field theory with a boundary. The main result of this paper is a relation between a boundary central charge and the coefficient of a displacement operator correlation function in the boundary limit. The boundary central charge under consideration is the coefficient of the product of the extrinsic curvature and the Weyl curvature in the conformal anomaly. Along the way, we describe several auxiliary results. Three of the more notable are as follows: (1) we give the bulk and boundary conformal blocks for the current two-point function; (2) we show that the structure of these current and stress tensor two-point functions is essentially universal for all free theories; (3) we introduce a class of interacting conformal field theories with boundary degrees of freedom, where the interactions are confined to the boundary. The most interesting example we consider can be thought of as the infrared fixed point of graphene. This particular interacting conformal model in four dimensions provides a counterexample of a previously conjectured relation between a boundary central charge and a bulk central charge. The model also demonstrates that the boundary central charge can change in response to marginal deformations.

8.100129

7.701962

9.492661

7.506953

8.141464

8.011943

7.886381

8.283536

7.790978

9.408914

7.965979

7.707452

8.298288

7.899618

7.840215

7.867447

7.876627

7.716801

8.020706

8.291433

7.692307

2407.05962

Grigalius Taujanskas

Nikolaos Athanasiou, P. Marios Petropoulos, Simon Schulz, Grigalius Taujanskas

One-dimensional Carrollian fluids I: Carroll-Galilei duality

23 pages

null

CPHT-RR026.052024

hep-th gr-qc

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

Galilean and Carrollian algebras acting on two-dimensional Newton-Cartan and Carrollian manifolds are isomorphic. A consequence of this property is a duality correspondence between one-dimensional Galilean and Carrollian fluids. We describe the dynamics of these systems as they emerge from the relevant limits of Lorentzian hydrodynamics, and explore the advertised duality relationship. This interchanges longitudinal and transverse directions with respect to the flow velocity, and permutes equilibrium and out-of-equilibrium observables, unveiling specific features of Carrollian physics. We investigate the action of local hydrodynamic-frame transformations in the Galilean and Carrollian configurations, i.e. dual Galilean and Carrollian local boosts, and comment on their potential breaking. Emphasis is laid on the additional geometric elements that are necessary to attain complete systems of hydrodynamic equations in Newton-Cartan and Carroll spacetimes. Our analysis is conducted in general Cartan frames as well as in more explicit coordinates, specifically suited to Galilean or Carrollian use.

[ { "created": "Mon, 8 Jul 2024 14:01:05 GMT", "version": "v1" } ]

2024-07-09

[ [ "Athanasiou", "Nikolaos", "" ], [ "Petropoulos", "P. Marios", "" ], [ "Schulz", "Simon", "" ], [ "Taujanskas", "Grigalius", "" ] ]

Galilean and Carrollian algebras acting on two-dimensional Newton-Cartan and Carrollian manifolds are isomorphic. A consequence of this property is a duality correspondence between one-dimensional Galilean and Carrollian fluids. We describe the dynamics of these systems as they emerge from the relevant limits of Lorentzian hydrodynamics, and explore the advertised duality relationship. This interchanges longitudinal and transverse directions with respect to the flow velocity, and permutes equilibrium and out-of-equilibrium observables, unveiling specific features of Carrollian physics. We investigate the action of local hydrodynamic-frame transformations in the Galilean and Carrollian configurations, i.e. dual Galilean and Carrollian local boosts, and comment on their potential breaking. Emphasis is laid on the additional geometric elements that are necessary to attain complete systems of hydrodynamic equations in Newton-Cartan and Carroll spacetimes. Our analysis is conducted in general Cartan frames as well as in more explicit coordinates, specifically suited to Galilean or Carrollian use.

13.456032

12.516647

13.991556

12.436562

14.092372

13.407904

12.577586

12.341383

13.1234

16.540873

13.171645

12.300697

13.165569

12.369096

12.570614

13.100232

12.565897

12.610057

12.687346

13.088018

12.841727

1706.02711

Horatiu Stefan Nastase

Thiago Araujo, Georgios Itsios, Horatiu Nastase and Eoin \'O Colg\'ain

Penrose limits and spin chains in the GJV/CS-SYM duality

48 pages, 1 figure; typos corrected, references added

null

10.1007/JHEP12(2017)137

null

hep-th

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

We examine Penrose limits of the duality proposed by Guarino, Jafferis and Varela between a type IIA massive background of the type of a warped, squashed $AdS_4\times S^6$, and a 2+1 dimensional IR fixed point of ${\cal N}=8$ super Yang-Mills deformed by Chern-Simons terms to ${\cal N}=2$ supersymmetry. One type of Penrose limit for closed strings corresponds to a large charge closed spin chain, and another, for open strings on giant graviton D-branes, corresponds to an open spin chain on sub-determinant operators. For the first limit, we find that like in the ABJM case, there are functions $f_a(\lambda)$ that interpolate between the perturbative and nonperturbative (string) regions for the magnon energy. For the second, we are unable to match the gravity result with the expected field theory result, making this model more interesting than ones with more supersymmetry.

[ { "created": "Thu, 8 Jun 2017 18:00:07 GMT", "version": "v1" }, { "created": "Wed, 6 Sep 2017 16:24:25 GMT", "version": "v2" } ]

2018-01-17

[ [ "Araujo", "Thiago", "" ], [ "Itsios", "Georgios", "" ], [ "Nastase", "Horatiu", "" ], [ "Colgáin", "Eoin Ó", "" ] ]

We examine Penrose limits of the duality proposed by Guarino, Jafferis and Varela between a type IIA massive background of the type of a warped, squashed $AdS_4\times S^6$, and a 2+1 dimensional IR fixed point of ${\cal N}=8$ super Yang-Mills deformed by Chern-Simons terms to ${\cal N}=2$ supersymmetry. One type of Penrose limit for closed strings corresponds to a large charge closed spin chain, and another, for open strings on giant graviton D-branes, corresponds to an open spin chain on sub-determinant operators. For the first limit, we find that like in the ABJM case, there are functions $f_a(\lambda)$ that interpolate between the perturbative and nonperturbative (string) regions for the magnon energy. For the second, we are unable to match the gravity result with the expected field theory result, making this model more interesting than ones with more supersymmetry.

9.945631

9.18547

11.608216

9.584519

10.553705

11.024996

10.159163

9.131121

8.846646

14.715778

9.045722

10.011916

10.584186

9.585321

10.115974

9.706014

10.077643

9.481233

9.709094

10.445765

9.43502

hep-th/9610121

Kwan Leung Chan

Kwan-Leung Chan

Constant threshold correction to electrically charged dilatonic black holes

LaTex with RevTex, 8 pages

Mod.Phys.Lett. A12 (1997) 1597-1604

10.1142/S0217732397001631

UPR-721-T

hep-th

null

We investigate the effect of a constant threshold correction to a general non-extreme, static, spherically symmetric, electrically charged black hole solution of the dilatonic Einstein-Maxwell Lagrangian, with an arbitrary coupling $\beta$ between the electromagnetic tensor and the dilaton field. For a small $\beta$, an exact analytical solution is obtained. For an arbitrary $\beta$, a close form solution, up to first order in the threshold correction, of the metric and the dilaton are presented. In the extremal limit, the close form solution is reduced to an exact analytical form.

[ { "created": "Wed, 16 Oct 1996 17:24:01 GMT", "version": "v1" } ]

2009-10-30

[ [ "Chan", "Kwan-Leung", "" ] ]

We investigate the effect of a constant threshold correction to a general non-extreme, static, spherically symmetric, electrically charged black hole solution of the dilatonic Einstein-Maxwell Lagrangian, with an arbitrary coupling $\beta$ between the electromagnetic tensor and the dilaton field. For a small $\beta$, an exact analytical solution is obtained. For an arbitrary $\beta$, a close form solution, up to first order in the threshold correction, of the metric and the dilaton are presented. In the extremal limit, the close form solution is reduced to an exact analytical form.

7.117924

6.235866

6.352154

6.255004

5.785943

6.365863

6.327324

6.351505

6.036429

6.61321

6.271386

6.156792

6.137837

5.926518

5.904738

6.039968

5.859214

6.114602

6.047534

6.02157

6.144681

2011.09444

Po-Shen Hsin

Po-Shen Hsin, Luca V. Iliesiu, Zhenbin Yang

A violation of global symmetries from replica wormholes and the fate of black hole remnants

44 pages, 7 figures

null

10.1088/1361-6382/ac2134

CALT-TH-2020-051

hep-th gr-qc

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

We show that the presence of replica wormholes in the Euclidean path integral of gravity leads to a non-perturbative violation of charge conservation for any global symmetry present in the low-energy description of quantum gravity. Explicitly, we compute the scattering probability between different charged states in several two-dimensional models of quantum gravity and find a non-vanishing answer. This suggests that the set of all charged states is typically over-complete, which has drastic consequences for the fate of black hole remnants that could carry a global symmetry charge. In the holographic context, we argue that the presence of such a symmetry in the effective description of the bulk should appear on the boundary as an emergent global symmetry after ensemble averaging.

[ { "created": "Wed, 18 Nov 2020 18:22:54 GMT", "version": "v1" }, { "created": "Wed, 28 Jul 2021 19:46:34 GMT", "version": "v2" } ]

2021-10-27

[ [ "Hsin", "Po-Shen", "" ], [ "Iliesiu", "Luca V.", "" ], [ "Yang", "Zhenbin", "" ] ]

We show that the presence of replica wormholes in the Euclidean path integral of gravity leads to a non-perturbative violation of charge conservation for any global symmetry present in the low-energy description of quantum gravity. Explicitly, we compute the scattering probability between different charged states in several two-dimensional models of quantum gravity and find a non-vanishing answer. This suggests that the set of all charged states is typically over-complete, which has drastic consequences for the fate of black hole remnants that could carry a global symmetry charge. In the holographic context, we argue that the presence of such a symmetry in the effective description of the bulk should appear on the boundary as an emergent global symmetry after ensemble averaging.

10.272764

9.561837

11.134312

9.141217

9.212531

9.259109

9.50224

9.075847

8.754596

10.404548

9.396034

9.37205

9.476846

9.096149

9.281919

9.172962

8.858225

8.886781

8.976559

9.396449

8.863488

1509.08478

{\DJ}or{\dj}e Radi\v{c}evi\'c

Djordje Radicevic

Entanglement in Weakly Coupled Lattice Gauge Theories

35 pages, one figure; v2 with more detailed explanations, published in JHEP

null

10.1007/JHEP04(2016)163

SU-ITP-15/13

hep-th hep-lat quant-ph

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

We present a direct lattice gauge theory computation that, without using dualities, demonstrates that the entanglement entropy of Yang-Mills theories with arbitrary gauge group $G$ contains a generic logarithmic term at sufficiently weak coupling $e$. In two spatial dimensions, for a region of linear size $r$, this term equals $\frac{1}{2} \dim(G) \log\left(e^2 r\right)$ and it dominates the universal part of the entanglement entropy. Such logarithmic terms arise from the entanglement of the softest mode in the entangling region with the environment. For Maxwell theory in two spatial dimensions, our results agree with those obtained by dualizing to a compact scalar with spontaneous symmetry breaking.

[ { "created": "Mon, 28 Sep 2015 20:13:36 GMT", "version": "v1" }, { "created": "Mon, 11 Jul 2016 21:48:34 GMT", "version": "v2" } ]

2016-07-13

[ [ "Radicevic", "Djordje", "" ] ]

We present a direct lattice gauge theory computation that, without using dualities, demonstrates that the entanglement entropy of Yang-Mills theories with arbitrary gauge group $G$ contains a generic logarithmic term at sufficiently weak coupling $e$. In two spatial dimensions, for a region of linear size $r$, this term equals $\frac{1}{2} \dim(G) \log\left(e^2 r\right)$ and it dominates the universal part of the entanglement entropy. Such logarithmic terms arise from the entanglement of the softest mode in the entangling region with the environment. For Maxwell theory in two spatial dimensions, our results agree with those obtained by dualizing to a compact scalar with spontaneous symmetry breaking.

8.137684

8.845995

9.264323

7.581946

8.107756

8.277846

7.796556

7.795142

7.695741

9.315385

7.885652

7.409028

8.041672

7.872424

8.131308

7.692773

7.726129

7.590947

7.979239

8.415805

7.649349

hep-th/0606175

Matteo Bertolini

Riccardo Argurio, Matteo Bertolini, Cyril Closset, Stefano Cremonesi

On Stable Non-Supersymmetric Vacua at the Bottom of Cascading Theories

23 pages, 8 figures. V2: minor comments and ref added

JHEP 0609:030,2006

10.1088/1126-6708/2006/09/030

null

hep-th

null

We consider a wide class of cascading gauge theories which usually lead to runaway behaviour in the IR, and discuss possible deformations of the superpotential at the bottom of the cascade which stabilize the runaway direction and provide stable non-supersymmetric vacua. The models we find may allow for a weakly coupled supergravity analysis of dynamical supersymmetric breaking in the context of the gauge/string correspondence.

[ { "created": "Mon, 19 Jun 2006 15:24:07 GMT", "version": "v1" }, { "created": "Sun, 25 Jun 2006 19:29:16 GMT", "version": "v2" } ]

2010-12-03

[ [ "Argurio", "Riccardo", "" ], [ "Bertolini", "Matteo", "" ], [ "Closset", "Cyril", "" ], [ "Cremonesi", "Stefano", "" ] ]

We consider a wide class of cascading gauge theories which usually lead to runaway behaviour in the IR, and discuss possible deformations of the superpotential at the bottom of the cascade which stabilize the runaway direction and provide stable non-supersymmetric vacua. The models we find may allow for a weakly coupled supergravity analysis of dynamical supersymmetric breaking in the context of the gauge/string correspondence.

11.684099

9.82253

12.868668

9.576118

10.722599

11.546518

10.173035

11.155963

9.485289

12.846202

11.502605

9.745688

11.588649

10.25596

10.058037

10.410602

10.19582

10.143088

9.771696

11.117043

10.75805

hep-th/0210302

David Ridout

P. Bouwknegt, P. Dawson, D. Ridout

D-branes on group manifolds and fusion rings

21 pages, 1 figure

JHEP 0212 (2002) 065

10.1088/1126-6708/2002/12/065

null

hep-th

null

In this paper we compute the charge group for symmetry preserving D-branes on group manifolds for all simple, simply-connected, connected compact Lie groups G.

[ { "created": "Thu, 31 Oct 2002 06:41:28 GMT", "version": "v1" } ]

2009-11-07

[ [ "Bouwknegt", "P.", "" ], [ "Dawson", "P.", "" ], [ "Ridout", "D.", "" ] ]

In this paper we compute the charge group for symmetry preserving D-branes on group manifolds for all simple, simply-connected, connected compact Lie groups G.

17.532187

11.691921

20.763342

12.153877

10.729764

11.746867

11.386652

10.038913

11.893357

26.914335

11.81758

9.996878

18.101898

13.154898

11.941396

11.273764

10.453389

12.108598

12.919451

16.863249

11.269394

hep-th/9412162

Klaus Behrndt

The 10-D chiral null model and the relation to 4-D string solutions

11 pages, latex, no figures

Phys.Lett.B348:395-401,1995

10.1016/0370-2693(95)00137-A

DESY 94-237

hep-th gr-qc

null

The chiral null model is a generalization of the fundamental string and gravitational wave background. It is an example of a conformally invariant model in all orders in $\alpha'$ and has unbroken supersymmetries. In a Kaluza--Klein approach we start in 10 dimensions and reduce the model down to 4 dimensions without making any restrictions. The 4-D field content is given by the metric, torsion, dilaton, a moduli field and 6 gauge fields. This model is self-dual and near the singularities asymptotically free. The relation to known IWP, Taub-NUT and rotating black hole solutions is discussed.

[ { "created": "Mon, 19 Dec 1994 07:53:07 GMT", "version": "v1" } ]

2010-11-01

[ [ "Behrndt", "Klaus", "" ] ]

The chiral null model is a generalization of the fundamental string and gravitational wave background. It is an example of a conformally invariant model in all orders in $\alpha'$ and has unbroken supersymmetries. In a Kaluza--Klein approach we start in 10 dimensions and reduce the model down to 4 dimensions without making any restrictions. The 4-D field content is given by the metric, torsion, dilaton, a moduli field and 6 gauge fields. This model is self-dual and near the singularities asymptotically free. The relation to known IWP, Taub-NUT and rotating black hole solutions is discussed.

13.335092

10.651579

12.533705

10.925929

12.348145

11.474492

12.386295

12.165724

11.204215

13.996848

11.900687

11.34446

12.520116

11.816462

11.290907

11.42247

11.223261

11.321194

11.940983

11.942552

11.428735

1207.6220

Toshifumi Noumi

Toru Masuda, Toshifumi Noumi, Daisuke Takahashi

Constraints on a class of classical solutions in open string field theory

47 pages, 3 figures; v2: appendix B is expanded

null

10.1007/JHEP10(2012)113

UT-Komaba/12-7; RUP-12-7

hep-th

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

We calculate boundary states for general string fields in the KBc subalgebra under some regularity conditions based on the construction by Kiermaier, Okawa, and Zwiebach. The resulting boundary states are always proportional to that for the perturbative vacuum |B>. In this framework, the equation of motion implies that boundary states are independent of the auxiliary parameter s associated with the length of the boundary. By requiring the s-independence, we show that the boundary states for classical solutions in our class are restricted to \pm|B> and 0. In particular, there exist no string fields which reproduce boundary states for multiple D-brane backgrounds. While we know that the boundary states |B> and 0 are reproduced by solutions for the perturbative vacuum and the tachyon vacuum, respectively, no solutions reproducing -|B> have been constructed. In this paper we also propose a candidate for such a solution, which may describe the ghost D-brane.

[ { "created": "Thu, 26 Jul 2012 09:51:06 GMT", "version": "v1" }, { "created": "Tue, 11 Sep 2012 06:58:16 GMT", "version": "v2" } ]

2015-06-05

[ [ "Masuda", "Toru", "" ], [ "Noumi", "Toshifumi", "" ], [ "Takahashi", "Daisuke", "" ] ]

We calculate boundary states for general string fields in the KBc subalgebra under some regularity conditions based on the construction by Kiermaier, Okawa, and Zwiebach. The resulting boundary states are always proportional to that for the perturbative vacuum |B>. In this framework, the equation of motion implies that boundary states are independent of the auxiliary parameter s associated with the length of the boundary. By requiring the s-independence, we show that the boundary states for classical solutions in our class are restricted to \pm|B> and 0. In particular, there exist no string fields which reproduce boundary states for multiple D-brane backgrounds. While we know that the boundary states |B> and 0 are reproduced by solutions for the perturbative vacuum and the tachyon vacuum, respectively, no solutions reproducing -|B> have been constructed. In this paper we also propose a candidate for such a solution, which may describe the ghost D-brane.

10.290598

9.571939

11.921168

9.595407

10.083556

10.190996

10.079601

8.708301

9.771784

12.337113

10.014027

9.59487

9.763799

9.360856

9.535165

9.907049

9.705488

9.472279

9.298057

9.935304

9.656708

2006.16255

Mario Martone

Towards the classification of rank-$r$ $\mathcal{N}=2$ SCFTs. Part I: twisted partition function and central charge formulae

30 pages, submitted to JHEP

null

10.1007/JHEP12(2020)021

null

hep-th

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

We derive explicit formulae to compute the $a$ and $c$ central charges of four dimensional $\mathcal{N}=2$ superconformal field theories (SCFTs) directly from Coulomb branch related quantities. The formulae apply at arbitrary rank. We also discover general properties of the low-energy limit behavior of the flavor symmetry of $\mathcal{N}=2$ SCFTs which culminate with our $\mathcal{N}=2$ UV-IR simple flavor condition. This is done by determining precisely the relation between the integrand of the partition function of the topologically twisted version of the 4d $\mathcal{N}=2$ SCFTs and the singular locus of their Coulomb branches. The techniques developed here are extensively applied to many rank-2 SCFTs, including new ones, in a companion paper.

[ { "created": "Mon, 29 Jun 2020 18:00:01 GMT", "version": "v1" }, { "created": "Fri, 31 Jul 2020 14:46:29 GMT", "version": "v2" } ]

2020-12-30

[ [ "Martone", "Mario", "" ] ]

We derive explicit formulae to compute the $a$ and $c$ central charges of four dimensional $\mathcal{N}=2$ superconformal field theories (SCFTs) directly from Coulomb branch related quantities. The formulae apply at arbitrary rank. We also discover general properties of the low-energy limit behavior of the flavor symmetry of $\mathcal{N}=2$ SCFTs which culminate with our $\mathcal{N}=2$ UV-IR simple flavor condition. This is done by determining precisely the relation between the integrand of the partition function of the topologically twisted version of the 4d $\mathcal{N}=2$ SCFTs and the singular locus of their Coulomb branches. The techniques developed here are extensively applied to many rank-2 SCFTs, including new ones, in a companion paper.

8.358822

7.524998

9.754484

7.429706

7.69919

7.515481

7.283841

7.238704

7.246665

9.470423

7.198731

7.100147

8.598258

7.369403

7.302487

7.340935

7.475641

7.214446

7.227291

8.03633

7.363133

1701.01229

Ayan Mukhopadhyay

Souvik Banerjee, Nava Gaddam and Ayan Mukhopadhyay

Illustrated study of the semi-holographic non-perturbative framework

2+45 pages; 5 figures; title revised, 1 new paragraph on page 36, 2 new paragraphs on page 43, references added; to appear in PRD

Phys. Rev. D 95, 066017 (2017)

10.1103/PhysRevD.95.066017

null

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

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

Semi-holography has been proposed as an effective nonperturbative framework which can combine perturbative and nonperturbative effects consistently for theories like QCD. It is postulated that the strongly coupled nonperturbative sector has a holographic dual in the form of a classical gravity theory in the large N limit, and the perturbative fields determine the gravitational boundary conditions. In this work, we pursue a fundamental derivation of this framework particularly showing how perturbative physics by itself can determine the holographic dual of the infrared, and also the interactions between the perturbative and the holographic sectors. We firstly demonstrate that the interactions between the two sectors can be constrained through the existence of a conserved local energy-momentum tensor for the full system up to hard-soft coupling constants. As an illustration, we set up a bi-holographic toy theory where both the UV and IR sectors are strongly coupled and holographic with distinct classical gravity duals. In this construction, the requirement that an appropriate gluing can cure the singularities (geodetic incompletenesses) of the respective geometries leads us to determine the parameters of the IR theory and the hard-soft couplings in terms of those of the UV theory. The high energy scale behaviour of the hard-soft couplings is state-independent but their runnings turn out to be state-dependent. We discuss how our approach can be adapted to the construction of the semi-holographic framework for QCD.

[ { "created": "Thu, 5 Jan 2017 07:23:59 GMT", "version": "v1" }, { "created": "Sun, 15 Jan 2017 17:46:55 GMT", "version": "v2" }, { "created": "Mon, 13 Mar 2017 17:40:06 GMT", "version": "v3" } ]

2017-03-31

[ [ "Banerjee", "Souvik", "" ], [ "Gaddam", "Nava", "" ], [ "Mukhopadhyay", "Ayan", "" ] ]

Semi-holography has been proposed as an effective nonperturbative framework which can combine perturbative and nonperturbative effects consistently for theories like QCD. It is postulated that the strongly coupled nonperturbative sector has a holographic dual in the form of a classical gravity theory in the large N limit, and the perturbative fields determine the gravitational boundary conditions. In this work, we pursue a fundamental derivation of this framework particularly showing how perturbative physics by itself can determine the holographic dual of the infrared, and also the interactions between the perturbative and the holographic sectors. We firstly demonstrate that the interactions between the two sectors can be constrained through the existence of a conserved local energy-momentum tensor for the full system up to hard-soft coupling constants. As an illustration, we set up a bi-holographic toy theory where both the UV and IR sectors are strongly coupled and holographic with distinct classical gravity duals. In this construction, the requirement that an appropriate gluing can cure the singularities (geodetic incompletenesses) of the respective geometries leads us to determine the parameters of the IR theory and the hard-soft couplings in terms of those of the UV theory. The high energy scale behaviour of the hard-soft couplings is state-independent but their runnings turn out to be state-dependent. We discuss how our approach can be adapted to the construction of the semi-holographic framework for QCD.

9.105403

9.132559

9.796782

8.956711

9.675983

9.3312

9.32063

9.13964

9.000625

9.541428

9.149489

8.769231

9.084886

8.837449

9.119632

8.718365

8.92928

8.757416

8.850192

9.357067

8.749848

2207.12354

Christopher Ekman

Crosscap states in the XXX spin-1/2 spin chain

17 pages

null

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

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

We consider integrable boundary states in the XXX spin-1/2 spin chain. We begin by briefly reviewing the algebraic Bethe Ansatz as well as integrable boundary states in spin chains. Then a recently discovered class of integrable states known as crosscap states is described and expanded. In these states each spin is entangled with its antipodal spin. We present a novel proof of the integrability of both a crosscap state that is known in the literature and one that has not previously been studied. We then use the machinery of the algebraic Bethe Ansatz to derive the overlaps between the crosscap states and off-shell Bethe states.

[ { "created": "Mon, 25 Jul 2022 17:11:30 GMT", "version": "v1" } ]

2022-07-26

[ [ "Ekman", "Christopher", "" ] ]

We consider integrable boundary states in the XXX spin-1/2 spin chain. We begin by briefly reviewing the algebraic Bethe Ansatz as well as integrable boundary states in spin chains. Then a recently discovered class of integrable states known as crosscap states is described and expanded. In these states each spin is entangled with its antipodal spin. We present a novel proof of the integrability of both a crosscap state that is known in the literature and one that has not previously been studied. We then use the machinery of the algebraic Bethe Ansatz to derive the overlaps between the crosscap states and off-shell Bethe states.

7.89098

8.21081

8.913273

7.344442

8.210151

7.785106

7.493664

7.520571

7.944129

9.04274

7.636752

7.559056

7.817217

7.685691

7.776299

7.909493

7.734317

7.757518

7.673469

7.972285

7.698663

hep-th/9610067

Antonio Garcia

J. Antonio Garc\'ia and Josep M. Pons

Equivalence of Faddeev-Jackiw and Dirac approaches for gauge theories

Latex v2.09, 15 pages, to appear in Int. J. Mod. Phys. A

Int.J.Mod.Phys. A12 (1997) 451-464

10.1142/S0217751X97000505

UB-ECM-PF 95/15

hep-th

null

The equivalence between the Dirac method and Faddeev-Jackiw analysis for gauge theories is proved. In particular we trace out, in a stage by stage procedure, the standard classification of first and second class constraints of Dirac's method in the F-J approach. We also find that the Darboux transformation implied in the F-J reduction process can be viewed as a canonical transformation in Dirac approach. Unlike Dirac's method the F-J analysis is a classical reduction procedure, then the quantization can be achieved only in the framework of reduce and then quantize approach with all the know problems that this type of procedures presents. Finally we illustrate the equivalence by means of a particular example.

[ { "created": "Wed, 9 Oct 1996 23:17:44 GMT", "version": "v1" } ]

2015-06-26

[ [ "García", "J. Antonio", "" ], [ "Pons", "Josep M.", "" ] ]

The equivalence between the Dirac method and Faddeev-Jackiw analysis for gauge theories is proved. In particular we trace out, in a stage by stage procedure, the standard classification of first and second class constraints of Dirac's method in the F-J approach. We also find that the Darboux transformation implied in the F-J reduction process can be viewed as a canonical transformation in Dirac approach. Unlike Dirac's method the F-J analysis is a classical reduction procedure, then the quantization can be achieved only in the framework of reduce and then quantize approach with all the know problems that this type of procedures presents. Finally we illustrate the equivalence by means of a particular example.

11.63166

11.185043

10.892364

10.716626

10.600818

10.987972

11.96076

9.988604

10.658074

12.213796

11.255109

11.206871

11.072871

10.978472

11.010793

11.412656

11.240355

11.116334

11.171387

11.55125

11.189562

1909.03154

Newton Cheng

Ning Bao, Newton Cheng

Multipartite Reflected Entropy

20 pages, 7 figures; added references, one figure, and expanded discussion on black holes and the boundary state

JHEP 10 (2019) 102

10.1007/JHEP10(2019)102

null

hep-th quant-ph

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

We discuss two methods that, through a combination of cyclically gluing copies of a given $n$-party boundary state in AdS/CFT and a canonical purification, creates a bulk geometry that contains a boundary homologous minimal surface with area equal to 2 or 4 times the $n$-party entanglement wedge cross-section, depending on the parity of the party number and choice of method. The areas of the minimal surfaces are each dual to entanglement entropies that we define to be candidates for the $n$-party reflected entropy. In the context of AdS$_3$/CFT$_2$, we provide a boundary interpretation of our construction as a multiboundary wormhole, and conjecture that this interpretation generalizes to higher dimensions.

[ { "created": "Sat, 7 Sep 2019 00:22:52 GMT", "version": "v1" }, { "created": "Thu, 3 Oct 2019 17:30:15 GMT", "version": "v2" } ]

2019-10-21

[ [ "Bao", "Ning", "" ], [ "Cheng", "Newton", "" ] ]

We discuss two methods that, through a combination of cyclically gluing copies of a given $n$-party boundary state in AdS/CFT and a canonical purification, creates a bulk geometry that contains a boundary homologous minimal surface with area equal to 2 or 4 times the $n$-party entanglement wedge cross-section, depending on the parity of the party number and choice of method. The areas of the minimal surfaces are each dual to entanglement entropies that we define to be candidates for the $n$-party reflected entropy. In the context of AdS$_3$/CFT$_2$, we provide a boundary interpretation of our construction as a multiboundary wormhole, and conjecture that this interpretation generalizes to higher dimensions.

10.22007

9.264266

11.351931

9.208012

10.615469

9.712681

10.148621

9.431688

9.668438

13.886751

9.168283

10.065402

10.443776

9.988708

9.999399

10.364068

9.772988

10.605303

9.997786

9.854285

9.776851

2206.13324

S. Ganesh

Quantum theory, thermal gradients and the curved Euclidean space

20 pages, 8 figures, Accepted for publication in Int. J. Mod. Phys. A

Int. J. Mod. Phys. A, Vol 37, Issue No. 17, Article No. 2250125 (2022)

10.1142/S0217751X22501251

null

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

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

The Euclidean space, obtained by the analytical continuation of time, to an imaginary time, is used to model thermal systems. In this work, it is taken a step further to systems with spatial thermal variation, by developing an equivalence between the spatial variation of temperature in a thermal bath and the curvature of the Euclidean space. The variation in temperature is recast as a variation in the metric, leading to a curved Euclidean space. The equivalence is substantiated by analyzing the Polyakov loop, the partition function and the periodicity of the correlation function. The bulk thermodynamic properties like the energy, entropy and the Helmholtz free energy are calculated from the partition function, for small metric perturbations, for a neutral scalar field. The Dirac equation for an external Dirac spinor, traversing in a thermal bath with spatial thermal gradients, is solved in the curved Euclidean space. The fundamental behavior exhibited by the Dirac spinor eigenstate, may provide a possible mechanism to validate the theory, at a more basal level, than examining only bulk thermodynamic properties. Furthermore, in order to verify the equivalence at the level of classical mechanics, the geodesic equation is analyzed in a classical backdrop. The mathematical apparatus is borrowed from the physics of quantum theory in a gravity-induced space-time curvature. As spatial thermal variations are obtainable at QCD or QED energies, it may be feasible for the proposed formulation to be validated experimentally.

[ { "created": "Mon, 27 Jun 2022 14:10:09 GMT", "version": "v1" } ]

2023-08-08

[ [ "Ganesh", "S.", "" ] ]

The Euclidean space, obtained by the analytical continuation of time, to an imaginary time, is used to model thermal systems. In this work, it is taken a step further to systems with spatial thermal variation, by developing an equivalence between the spatial variation of temperature in a thermal bath and the curvature of the Euclidean space. The variation in temperature is recast as a variation in the metric, leading to a curved Euclidean space. The equivalence is substantiated by analyzing the Polyakov loop, the partition function and the periodicity of the correlation function. The bulk thermodynamic properties like the energy, entropy and the Helmholtz free energy are calculated from the partition function, for small metric perturbations, for a neutral scalar field. The Dirac equation for an external Dirac spinor, traversing in a thermal bath with spatial thermal gradients, is solved in the curved Euclidean space. The fundamental behavior exhibited by the Dirac spinor eigenstate, may provide a possible mechanism to validate the theory, at a more basal level, than examining only bulk thermodynamic properties. Furthermore, in order to verify the equivalence at the level of classical mechanics, the geodesic equation is analyzed in a classical backdrop. The mathematical apparatus is borrowed from the physics of quantum theory in a gravity-induced space-time curvature. As spatial thermal variations are obtainable at QCD or QED energies, it may be feasible for the proposed formulation to be validated experimentally.

11.697205

11.829572

11.975232

11.626937

12.563434

11.963325

12.554394

11.94248

11.663692

12.632225

11.904686

11.289031

11.554962

11.382914

11.574357

11.428236

11.458892

11.238583

11.453271

11.308469

11.162817

1707.08013

Julian Sonner

Julian Sonner, Manuel Vielma

Eigenstate thermalization in the Sachdev-Ye-Kitaev model

36 pages, many figures; references added; matches published version

null

10.1007/JHEP11(2017)149

null

hep-th cond-mat.str-el

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

The eigenstate thermalization hypothesis (ETH) explains how closed unitary quantum systems can exhibit thermal behavior in pure states. In this work we examine a recently proposed microscopic model of a black hole in AdS$_2$, the so-called Sachdev-Ye-Kitaev (SYK) model. We show that this model satisfies the eigenstate thermalization hypothesis by solving the system in exact diagonalization. Using these results we also study the behavior, in eigenstates, of various measures of thermalization and scrambling of information. We establish that two-point functions in finite-energy eigenstates approximate closely their thermal counterparts and that information is scrambled in individual eigenstates. We study both the eigenstates of a single random realization of the model, as well as the model obtained after averaging of the random disordered couplings. We use our results to comment on the implications for thermal states of the dual theory, i.e. the AdS$_2$ black hole.

[ { "created": "Tue, 25 Jul 2017 14:25:12 GMT", "version": "v1" }, { "created": "Tue, 30 Jan 2018 20:56:08 GMT", "version": "v2" } ]

2018-02-01

[ [ "Sonner", "Julian", "" ], [ "Vielma", "Manuel", "" ] ]

The eigenstate thermalization hypothesis (ETH) explains how closed unitary quantum systems can exhibit thermal behavior in pure states. In this work we examine a recently proposed microscopic model of a black hole in AdS$_2$, the so-called Sachdev-Ye-Kitaev (SYK) model. We show that this model satisfies the eigenstate thermalization hypothesis by solving the system in exact diagonalization. Using these results we also study the behavior, in eigenstates, of various measures of thermalization and scrambling of information. We establish that two-point functions in finite-energy eigenstates approximate closely their thermal counterparts and that information is scrambled in individual eigenstates. We study both the eigenstates of a single random realization of the model, as well as the model obtained after averaging of the random disordered couplings. We use our results to comment on the implications for thermal states of the dual theory, i.e. the AdS$_2$ black hole.

7.98878

8.809039

9.927315

8.334063

10.031349

9.139367

9.790331

8.676424

7.8784

9.439566

7.995852

8.493678

8.250051

7.782356

8.053016

8.227325

8.14158

7.972564

8.119438

8.132742

7.866823

hep-th/0611058

Marco Ghiotti

M. Ghiotti, L. von Smekal and A.G. Williams

Extended Double Lattice BRST, Curci-Ferrari Mass and the Neuberger Problem

Prepared for 7th Conference on Quark Confinement and the Hadron Spectrum, Ponta Delgada, Azores, Portugal, 2-7 Sep 2006. 3pp

AIP Conf.Proc.892:180-182,2007

10.1063/1.2714366

ADP-06-07/T638

hep-th

null

We present Extended Double BRST on the lattice and extend the Neuberger problem to include the ghost/anti-ghost symmetric formulation of the non-linear covariant Curci-Ferrari (CF) gauges. We then show how a CF mass regulates the 0/0 indeterminate form of physical observables, as observed by Neuberger, and discuss the gauge-parameter and mass dependence of the model.

[ { "created": "Mon, 6 Nov 2006 05:54:32 GMT", "version": "v1" } ]

2010-03-04

[ [ "Ghiotti", "M.", "" ], [ "von Smekal", "L.", "" ], [ "Williams", "A. G.", "" ] ]

We present Extended Double BRST on the lattice and extend the Neuberger problem to include the ghost/anti-ghost symmetric formulation of the non-linear covariant Curci-Ferrari (CF) gauges. We then show how a CF mass regulates the 0/0 indeterminate form of physical observables, as observed by Neuberger, and discuss the gauge-parameter and mass dependence of the model.

19.954876

17.077555

24.378784

19.518129

18.512476

17.227148

22.238016

16.284311

19.052393

25.889683

16.959614

19.904476

21.71233

20.118208

20.571503

20.53573

19.975225

21.102968

20.511612

22.45763

19.409735

0710.1776

Masato Taki

Refined Topological Vertex and Instanton Counting

22 pages, 6 figures, minor corrections

JHEP 0803:048,2008

10.1088/1126-6708/2008/03/048

UT-07-32

hep-th

null

It has been proposed recently that topological A-model string amplitudes for toric Calabi-Yau 3-folds in non self-dual graviphoton background can be caluculated by a diagrammatic method that is called the ``refined topological vertex''. We compute the extended A-model amplitudes for SU(N)-geometries using the proposed vertex. If the refined topological vertex is valid, these computations should give rise to the Nekrasov's partition functions of N=2 SU(N) gauge theories via the geometric engineering. In this article, we verify the proposal by confirming the equivalence between the refined A-model amplitude and the K-theoretic version of the Nekrasov's partition function by explicit computation.

[ { "created": "Tue, 9 Oct 2007 14:56:33 GMT", "version": "v1" }, { "created": "Wed, 26 Dec 2007 07:15:18 GMT", "version": "v2" } ]

2014-11-18

[ [ "Taki", "Masato", "" ] ]

It has been proposed recently that topological A-model string amplitudes for toric Calabi-Yau 3-folds in non self-dual graviphoton background can be caluculated by a diagrammatic method that is called the ``refined topological vertex''. We compute the extended A-model amplitudes for SU(N)-geometries using the proposed vertex. If the refined topological vertex is valid, these computations should give rise to the Nekrasov's partition functions of N=2 SU(N) gauge theories via the geometric engineering. In this article, we verify the proposal by confirming the equivalence between the refined A-model amplitude and the K-theoretic version of the Nekrasov's partition function by explicit computation.

7.983997

7.319837

9.222979

7.118044

7.762532

7.341727

6.861967

7.048651

7.428286

10.652451

7.414898

7.654513

8.282153

7.403082

7.534726

7.383906

7.754554

7.539094

7.327182

8.891324

7.155312

1907.10460

Ricardo Landim

Ricardo G. Landim

Gauge field and brane-localized kinetic terms on the chiral square

11 pages, 4 figures, references added. Version accepted for publication in EPJC

Eur. Phys. J. C (2019) 79:862

10.1140/epjc/s10052-019-7376-1

TUM-HEP-1214/19

hep-th hep-ph

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

Extra dimensions have been used as attempts to explain several phenomena in particle physics. In this paper we investigate the role of brane-localized kinetic terms (BLKT) on thin and thick branes with two flat extra dimensions (ED) compactified on the chiral square, and an abelian gauge field in the bulk. The results for a thin brane have resemblance with the 5-D case, leading to a tower of massive KK particles whose masses depend upon the compactification radius and the BLKT parameter. On the other hand, for the thick brane scenario, there is no solution that satisfy the boundary conditions. Because of this, the mechanism of suppressed couplings due to ED [1902.08339] cannot be extended to 6-D.

[ { "created": "Wed, 24 Jul 2019 14:12:22 GMT", "version": "v1" }, { "created": "Thu, 17 Oct 2019 08:01:24 GMT", "version": "v2" } ]

2019-10-22

[ [ "Landim", "Ricardo G.", "" ] ]

Extra dimensions have been used as attempts to explain several phenomena in particle physics. In this paper we investigate the role of brane-localized kinetic terms (BLKT) on thin and thick branes with two flat extra dimensions (ED) compactified on the chiral square, and an abelian gauge field in the bulk. The results for a thin brane have resemblance with the 5-D case, leading to a tower of massive KK particles whose masses depend upon the compactification radius and the BLKT parameter. On the other hand, for the thick brane scenario, there is no solution that satisfy the boundary conditions. Because of this, the mechanism of suppressed couplings due to ED [1902.08339] cannot be extended to 6-D.

10.427732

11.491055

10.335413

9.407411

11.162804

10.921916

9.704739

11.079875

9.449512

10.324236

10.08939

10.345222

9.840407

9.808454

10.170912

10.29886

10.145301

10.329229

9.716585

9.687548

10.137842

hep-th/0701232

Hisham Sati

A Higher Twist in String Theory

11 pages, several improvements added in response to the referee's comments

J.Geom.Phys.59:369-373,2009

10.1016/j.geomphys.2008.11.009

null

hep-th

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

Considering the gauge field and its dual in heterotic string theory as a unified field, we show that the equations of motion at the rational level contain a twisted differential with a novel degree seven twist. This generalizes the usual degree three twist that lifts to twisted K-theory and raises the natural question of whether at the integral level the abelianized gauge fields belong to a generalized cohomology theory. Some remarks on possible such extension are given.

[ { "created": "Wed, 24 Jan 2007 20:59:07 GMT", "version": "v1" }, { "created": "Sun, 28 Jan 2007 18:18:18 GMT", "version": "v2" }, { "created": "Tue, 21 Jul 2009 00:03:35 GMT", "version": "v3" } ]

2009-07-21

[ [ "Sati", "Hisham", "" ] ]

Considering the gauge field and its dual in heterotic string theory as a unified field, we show that the equations of motion at the rational level contain a twisted differential with a novel degree seven twist. This generalizes the usual degree three twist that lifts to twisted K-theory and raises the natural question of whether at the integral level the abelianized gauge fields belong to a generalized cohomology theory. Some remarks on possible such extension are given.

21.133369

20.236738

24.371531

18.929472

21.097832

20.907715

19.963837

20.19729

20.295607

24.995735

19.999437

19.213789

20.11511

19.519224

20.060278

19.351833

18.798702

19.380001

19.375774

21.650229

19.480553

hep-th/0301157

Frank Ferrari

Frank Ferrari (University of Neuchatel)

Quantum parameter space in super Yang-Mills, II

12 pages including 2 large figures

Phys.Lett. B557 (2003) 290-296

10.1016/S0370-2693(03)00198-9

NEIP-03-001, LPTENS-03/01

hep-th

null

In [1] (hep-th/0211069), the author has discussed the quantum parameter space of the N=1 super Yang-Mills theory with one adjoint Higgs field Phi, tree-level superpotential W_tree = m (Phi^2)/2 + g (Phi^3)/3$, and gauge group U(Nc). In particular, full details were worked out for U(2) and U(3). By discussing higher rank gauge groups like U(4), for which the classical parameter space has a large number of disconnected components, we show that the phenomena discussed in [1] are generic. It turns out that the quantum space is connected. The classical components are related in the quantum theory either through standard singularities with massless monopoles or by branch cuts without going through any singularity. The branching points associated with the branch cuts correspond to new strong coupling singularities, which are not associated with vanishing cycles in the geometry, and at which glueballs can become massless. The transitions discussed recently by Cachazo, Seiberg and Witten are special instances of those phenomena.

[ { "created": "Wed, 22 Jan 2003 13:52:17 GMT", "version": "v1" } ]

2010-04-05

[ [ "Ferrari", "Frank", "", "University of Neuchatel" ] ]

In [1] (hep-th/0211069), the author has discussed the quantum parameter space of the N=1 super Yang-Mills theory with one adjoint Higgs field Phi, tree-level superpotential W_tree = m (Phi^2)/2 + g (Phi^3)/3$, and gauge group U(Nc). In particular, full details were worked out for U(2) and U(3). By discussing higher rank gauge groups like U(4), for which the classical parameter space has a large number of disconnected components, we show that the phenomena discussed in [1] are generic. It turns out that the quantum space is connected. The classical components are related in the quantum theory either through standard singularities with massless monopoles or by branch cuts without going through any singularity. The branching points associated with the branch cuts correspond to new strong coupling singularities, which are not associated with vanishing cycles in the geometry, and at which glueballs can become massless. The transitions discussed recently by Cachazo, Seiberg and Witten are special instances of those phenomena.

10.365082

10.340899

10.938093

10.236336

10.519052

10.731123

10.939207

10.216516

10.396545

12.88866

10.753283

10.290031

10.687573

10.067276

9.930814

9.947897

10.075395

10.12146

10.010088

10.677775

10.308951

hep-th/0612156

Makoto Sakaguchi

Holger B. Nielsen and Masao Ninomiya

Entropy Currents for Reversible Processes in a System of Differential equations. -- The Case of Latticized Classical Field Theory --

37 pages with 20 eps files

null

YITP-06-31, OIQP-05-16

hep-th

null

We consider a very complicated system of some latticized differential equations that is considered as equations of motion for a field theory. We define macro state restrictions for such a system analogous to thermodynamical states of a system in statistical mechanics. For the case in which we have assumed adiabaticity in a generalized way which is equivalent to reversible processes. It is shown that we can define various entropy currents, not only one. It is indeed surprising that, for a two dimensional example of lattice field theory, we get three different entropy currents, all conserved under the adiabaticity condition.

[ { "created": "Fri, 15 Dec 2006 03:13:30 GMT", "version": "v1" } ]

2007-05-23

[ [ "Nielsen", "Holger B.", "" ], [ "Ninomiya", "Masao", "" ] ]

We consider a very complicated system of some latticized differential equations that is considered as equations of motion for a field theory. We define macro state restrictions for such a system analogous to thermodynamical states of a system in statistical mechanics. For the case in which we have assumed adiabaticity in a generalized way which is equivalent to reversible processes. It is shown that we can define various entropy currents, not only one. It is indeed surprising that, for a two dimensional example of lattice field theory, we get three different entropy currents, all conserved under the adiabaticity condition.

17.980913

17.378178

17.593002

18.412745

18.739771

18.814686

19.417835

19.560606

17.448271

20.061527

18.090422

18.039028

17.303507

17.710503

17.850384

17.520554

18.399057

17.83597

17.892021

17.629723

17.761818

1204.1246

Davood Momeni Dr

D. Momeni, N. Majd, R. Myrzakulov

p-Wave holographic superconductors with Weyl corrections

7 pages, 1 figure, 1 table. One refrence added, presentations improved

EPL, 97 (2012) 61001

10.1209/0295-5075/97/61001

null

hep-th

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

We study the (3+1) dimensional p-wave holographic superconductors with Weyl corrections both numerically and analytically. We describe numerically the behavior of critical temperature $T_{c}$ with respect to charge density $\rho$ in a limited range of Weyl coupling parameter $\gamma$ and we find in general the condensation becomes harder with the increase of parameter $\gamma$. In strong coupling limit of Yang-Mills theory, we show that the minimum value of $T_{c}$ obtained from analytical approach is in good agreement with the numerical results, and finally show how we got remarkably a similar result in the critical exponent 1/2 of the chemical potential $\mu$ and the order parameter$<J^1_x>$ with the numerical curves of superconductors.

[ { "created": "Thu, 5 Apr 2012 14:47:32 GMT", "version": "v1" }, { "created": "Mon, 11 Jun 2012 06:45:17 GMT", "version": "v2" } ]

2012-06-12

[ [ "Momeni", "D.", "" ], [ "Majd", "N.", "" ], [ "Myrzakulov", "R.", "" ] ]

We study the (3+1) dimensional p-wave holographic superconductors with Weyl corrections both numerically and analytically. We describe numerically the behavior of critical temperature $T_{c}$ with respect to charge density $\rho$ in a limited range of Weyl coupling parameter $\gamma$ and we find in general the condensation becomes harder with the increase of parameter $\gamma$. In strong coupling limit of Yang-Mills theory, we show that the minimum value of $T_{c}$ obtained from analytical approach is in good agreement with the numerical results, and finally show how we got remarkably a similar result in the critical exponent 1/2 of the chemical potential $\mu$ and the order parameter$<J^1_x>$ with the numerical curves of superconductors.

9.324531

8.996075

9.528092

8.594855

8.384047

8.546109

8.741671

8.473263

8.329711

9.686264

9.094753

8.807124

9.226854

8.560656

9.023904

9.044477

8.638631

8.795891

8.867679

9.183717

8.906492

0706.1200

Amir Masoud Ghezelbash

A.M. Ghezelbash

Resolved Conifolds in Supergravity Solutions

9 pages, 2 figures, minor changes, references added, version to appear in Phys. Rev. D

Phys.Rev.D77:026006,2008

10.1103/PhysRevD.77.026006

null

hep-th

null

We construct generalized 11D supergravity solutions of fully localized intersecting D2/D4 brane systems. These solutions are obtained by embedding six-dimensional resolved Eguchi-Hanson conifolds lifted to M-theory. We reduce these solutions to ten dimensions, obtaining new D-brane systems in type IIA supergravity. We discuss the limits in which the dynamics of the D2 brane decouples from the bulk for these solutions.

[ { "created": "Fri, 8 Jun 2007 18:58:25 GMT", "version": "v1" }, { "created": "Sat, 22 Dec 2007 19:28:03 GMT", "version": "v2" } ]

2008-11-26

[ [ "Ghezelbash", "A. M.", "" ] ]

We construct generalized 11D supergravity solutions of fully localized intersecting D2/D4 brane systems. These solutions are obtained by embedding six-dimensional resolved Eguchi-Hanson conifolds lifted to M-theory. We reduce these solutions to ten dimensions, obtaining new D-brane systems in type IIA supergravity. We discuss the limits in which the dynamics of the D2 brane decouples from the bulk for these solutions.

10.578603

8.4027

11.011819

8.451417

9.363662

8.972834

8.98269

8.134792

8.064838

14.0223

8.953562

9.161336

10.793081

9.670725

9.370057

9.692062

9.718513

9.726292

9.510726

11.01167

9.686349

1901.10540

Mahya Mohammadi

Mahya Mohammadi, Ahmad Sheykhi and Mahdi Kord Zangeneh

One-dimensional backreacting holographic p-wave superconductors

null

Eur. Phys. J. C (2018) 78:984

10.1140/epjc/s10052-018-6473-x

null

hep-th

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

We analytically as well as numerically study the properties of one-dimensional holographic p- wave superconductors in the presence of backreaction. We employ the Sturm-Liouville eigenvalue problem for the analytical calculation and the shooting method for the numerical investigations. We apply the AdS3/CFT2 correspondence and determine the relation between the critical temperature Tc and the chemical potential \mu for different values of mass m of charged spin-1 field and backreacting parameters. We observe that the data of both analytical and numerical studies are in good agreement. We find out that increasing the backreaction as well as the mass parameter cause the greater values for Tc/ \mu. Therefore, it makes the condensation harder to form. In addition, the analytical and numerical approaches show that the value of the critical exponent \beta is 1/2 which is the same as in the mean field theory. Moreover, both methods confirm the exhibition of a second order phase transition.

[ { "created": "Fri, 18 Jan 2019 17:37:43 GMT", "version": "v1" } ]

2019-11-01

[ [ "Mohammadi", "Mahya", "" ], [ "Sheykhi", "Ahmad", "" ], [ "Zangeneh", "Mahdi Kord", "" ] ]

We analytically as well as numerically study the properties of one-dimensional holographic p- wave superconductors in the presence of backreaction. We employ the Sturm-Liouville eigenvalue problem for the analytical calculation and the shooting method for the numerical investigations. We apply the AdS3/CFT2 correspondence and determine the relation between the critical temperature Tc and the chemical potential \mu for different values of mass m of charged spin-1 field and backreacting parameters. We observe that the data of both analytical and numerical studies are in good agreement. We find out that increasing the backreaction as well as the mass parameter cause the greater values for Tc/ \mu. Therefore, it makes the condensation harder to form. In addition, the analytical and numerical approaches show that the value of the critical exponent \beta is 1/2 which is the same as in the mean field theory. Moreover, both methods confirm the exhibition of a second order phase transition.

6.757091

5.328646

6.748767

5.678858

5.57049

5.800459

5.736758

5.774471

5.962963

6.344565

5.691214

6.099392

6.602189

6.155895

6.138211

6.372302

6.160095

6.076143

6.305961

6.534185

6.157827

2111.04725

Weiguang Cao

Weiguang Cao, Tom Melia, Sridip Pal

Universal fine grained asymptotics of free and weakly coupled Quantum Field Theory

15 pages, 1 Figure; v2 adds proof on a general manifold, and modifies the proof in Sec 3 to separate out microcanonical and canonical ensemble, 18 pages; v3 is restructured for clarity, 19 pages

null

hep-th math-ph math.MP

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

We give a rigorous proof that in any free quantum field theory with a finite group global symmetry $\mathrm{G}$, on a compact spatial manifold, at sufficiently high energy, the density of states $\rho_\alpha(E)$ for each irreducible representation $\alpha$ of $\mathrm{G}$ obeys a universal formula as conjectured by Harlow and Ooguri. We further prove that this continues to hold in a weakly coupled quantum field theory, given an appropriate scaling of the coupling with temperature. This generalizes similar results that were previously obtained in $(1+1)$-D to higher spacetime dimension. We discuss the role of averaging in the density of states, and we compare and contrast with the case of continuous group $\mathrm{G}$, where we prove a universal, albeit different, behavior.

[ { "created": "Mon, 8 Nov 2021 18:59:06 GMT", "version": "v1" }, { "created": "Wed, 12 Jan 2022 14:58:26 GMT", "version": "v2" }, { "created": "Sun, 10 Sep 2023 15:56:05 GMT", "version": "v3" } ]

2023-09-12

[ [ "Cao", "Weiguang", "" ], [ "Melia", "Tom", "" ], [ "Pal", "Sridip", "" ] ]

We give a rigorous proof that in any free quantum field theory with a finite group global symmetry $\mathrm{G}$, on a compact spatial manifold, at sufficiently high energy, the density of states $\rho_\alpha(E)$ for each irreducible representation $\alpha$ of $\mathrm{G}$ obeys a universal formula as conjectured by Harlow and Ooguri. We further prove that this continues to hold in a weakly coupled quantum field theory, given an appropriate scaling of the coupling with temperature. This generalizes similar results that were previously obtained in $(1+1)$-D to higher spacetime dimension. We discuss the role of averaging in the density of states, and we compare and contrast with the case of continuous group $\mathrm{G}$, where we prove a universal, albeit different, behavior.

8.31829

8.501579

8.297242

7.844651

8.154869

8.282153

8.528515

7.621241

7.405501

8.998666

7.913336

7.92641

8.027176

7.734043

7.781918

7.763002

7.832042

7.686785

7.765666

7.689075

7.598387

2001.10539

Marc-Antoine Fiset

SW(3/2,2) subsymmetry in G$_2$, Spin(7) and N=2 CFTs

36 pages, 5 figures

null

10.1007/JHEP07(2020)198

null

hep-th math.QA

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

Spectral flow, spacetime supersymmetry, topological twists, chiral primaries related to marginal deformations, mirror symmetry: these are important consequences of the worldsheet N=2 superconformal symmetry of strings on Calabi-Yau manifolds. To various degrees of certainty, these features were also established when the target is either 7d or 8d with exceptional holonomy G$_2$ or Spin(7) respectively. We show that these are more than mere analogies. We exhibit an underlying symmetry SW(3/2,2) making a bridge between the latter cases and K3 target spaces. Reviewing unitary representations of SW(3/2,2) leads us to speculate on further roles of this algebra in string theory compactifications and on the existence of topologically twisted versions of SW(3/2,2) theories.

[ { "created": "Tue, 28 Jan 2020 19:00:00 GMT", "version": "v1" }, { "created": "Mon, 4 May 2020 12:50:08 GMT", "version": "v2" } ]

2020-08-26

[ [ "Fiset", "Marc-Antoine", "" ] ]

Spectral flow, spacetime supersymmetry, topological twists, chiral primaries related to marginal deformations, mirror symmetry: these are important consequences of the worldsheet N=2 superconformal symmetry of strings on Calabi-Yau manifolds. To various degrees of certainty, these features were also established when the target is either 7d or 8d with exceptional holonomy G$_2$ or Spin(7) respectively. We show that these are more than mere analogies. We exhibit an underlying symmetry SW(3/2,2) making a bridge between the latter cases and K3 target spaces. Reviewing unitary representations of SW(3/2,2) leads us to speculate on further roles of this algebra in string theory compactifications and on the existence of topologically twisted versions of SW(3/2,2) theories.

12.320829

12.545556

13.676656

11.060157

11.512414

11.279264

10.995119

11.128038

11.598204

14.046472

11.66286

10.971098

11.595552

10.628081

10.549031

11.073358

10.817286

10.816844

10.856155

12.026597

11.060368

hep-th/9406183

Georg-Juettner

G. Juettner and M. Karowski

Completeness of ``Good'' Bethe Ansatz Solutions of a Quantum Group Invariant Heisenberg Model

LaTeX file with LaTeX figures, 24 pages, 1 PiCTeX figure

Nucl.Phys.B430:615-632,1994

10.1016/0550-3213(94)90162-7

null

hep-th

null

The $sl_q(2)$-quantum group invariant spin 1/2 XXZ-Heisenberg model with open boundary conditions is investigated by means of the Bethe ansatz. As is well known, quantum groups for $q$ equal to a root of unity possess a finite number of ``good'' representations with non-zero q-dimension and ``bad'' ones with vanishing q-dimension. Correspondingly, the state space of an invariant Heisenberg chain decomposes into ``good'' and ``bad'' states. A ``good'' state may be described by a path of only ``good'' representations. It is shown that the ``good'' states are given by all ``good'' Bethe ansatz solutions with roots restricted to the first periodicity strip, i.e. only positive parity strings (in the language of Takahashi) are allowed. Applying Bethe's string counting technique completeness of the ``good'' Bethe states is proven, i.e. the same number of states is found as the number of all restricted path's on the $sl_q(2)$-Bratteli diagram. It is the first time that a ``completeness" proof for an anisotropic quantum invariant reduced Heisenberg model is performed.

[ { "created": "Tue, 28 Jun 1994 17:30:09 GMT", "version": "v1" } ]

2010-11-01

[ [ "Juettner", "G.", "" ], [ "Karowski", "M.", "" ] ]

The $sl_q(2)$-quantum group invariant spin 1/2 XXZ-Heisenberg model with open boundary conditions is investigated by means of the Bethe ansatz. As is well known, quantum groups for $q$ equal to a root of unity possess a finite number of ``good'' representations with non-zero q-dimension and ``bad'' ones with vanishing q-dimension. Correspondingly, the state space of an invariant Heisenberg chain decomposes into ``good'' and ``bad'' states. A ``good'' state may be described by a path of only ``good'' representations. It is shown that the ``good'' states are given by all ``good'' Bethe ansatz solutions with roots restricted to the first periodicity strip, i.e. only positive parity strings (in the language of Takahashi) are allowed. Applying Bethe's string counting technique completeness of the ``good'' Bethe states is proven, i.e. the same number of states is found as the number of all restricted path's on the $sl_q(2)$-Bratteli diagram. It is the first time that a ``completeness" proof for an anisotropic quantum invariant reduced Heisenberg model is performed.

8.440639

9.160561

9.809716

8.323915

9.097052

9.097336

9.794978

8.025157

8.730806

10.014457

8.15951

7.938187

8.325246

7.805674

8.065231

7.990595

7.896088

7.904015

7.793015

8.736258

7.66685

1107.5792

Robert McNees

Robert Mann, Robert McNees

Holographic Renormalization for Asymptotically Lifshitz Spacetimes

34 pages, Added References

JHEP 1110:129, 2011

10.1007/JHEP10(2011)129

null

hep-th gr-qc

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

A variational formulation is given for a theory of gravity coupled to a massive vector in four dimensions, with Asymptotically Lifshitz boundary conditions on the fields. For theories with critical exponent z=2 we obtain a well-defined variational principle by explicitly constructing two actions with local boundary counterterms. As part of our analysis we obtain solutions of these theories on a neighborhood of spatial infinity, study the asymptotic symmetries, and consider different definitions of the boundary stress tensor and associated charges. A constraint on the boundary data for the fields figures prominently in one of our formulations, and in that case the only suitable definition of the boundary stress tensor is due to Hollands, Ishibashi, and Marolf. Their definition naturally emerges from our requirement of finiteness of the action under Hamilton-Jacobi variations of the fields. A second, more general variational principle also allows the Brown-York definition of a boundary stress tensor.

[ { "created": "Thu, 28 Jul 2011 19:00:48 GMT", "version": "v1" }, { "created": "Wed, 7 Sep 2011 00:45:17 GMT", "version": "v2" } ]

2011-11-08

[ [ "Mann", "Robert", "" ], [ "McNees", "Robert", "" ] ]

A variational formulation is given for a theory of gravity coupled to a massive vector in four dimensions, with Asymptotically Lifshitz boundary conditions on the fields. For theories with critical exponent z=2 we obtain a well-defined variational principle by explicitly constructing two actions with local boundary counterterms. As part of our analysis we obtain solutions of these theories on a neighborhood of spatial infinity, study the asymptotic symmetries, and consider different definitions of the boundary stress tensor and associated charges. A constraint on the boundary data for the fields figures prominently in one of our formulations, and in that case the only suitable definition of the boundary stress tensor is due to Hollands, Ishibashi, and Marolf. Their definition naturally emerges from our requirement of finiteness of the action under Hamilton-Jacobi variations of the fields. A second, more general variational principle also allows the Brown-York definition of a boundary stress tensor.

11.010354

11.804176

11.153139

10.494094

11.25669

11.227351

12.414515

11.559858

10.8444

12.563434

11.00472

10.911029

10.478893

10.609994

10.641479

10.427382

10.928181

10.544463

10.611532

11.100282

10.528812

2010.15913

Qiuyue Liang

Mariana Carrillo Gonzalez, Qiuyue Liang, Mark Trodden

An Effective Field Theory for Binary Cosmic Strings

null

Phys. Rev. D 104, 043517 (2021)

10.1103/PhysRevD.104.043517

null

hep-th astro-ph.CO gr-qc

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

We extend the effective field theory (EFT) formalism for gravitational radiation from a binary system of compact objects to the case of extended objects. In particular, we study the EFT for a binary system consisting of two infinitely-long cosmic strings with small velocity and small spatial substructure, or "wiggles". The complexity of the system requires the introduction of two perturbative expansion parameters, constructed from the velocity and size of the wiggles, in contrast with the point particle case, for which a single parameter is sufficient. This further requires us to assign new power counting rules in the system. We integrate out the modes corresponding to potential gravitons, yielding an effective action for the radiation gravitons. We show that this action describes a changing quadrupole, sourced by the bending modes of the string, which in turn generates gravitational waves. We study the ultraviolet divergences in this description, and use them to obtain the classical renormalization group flow of the string tension in such a setting.

[ { "created": "Thu, 29 Oct 2020 19:58:21 GMT", "version": "v1" } ]

2021-08-25

[ [ "Gonzalez", "Mariana Carrillo", "" ], [ "Liang", "Qiuyue", "" ], [ "Trodden", "Mark", "" ] ]

We extend the effective field theory (EFT) formalism for gravitational radiation from a binary system of compact objects to the case of extended objects. In particular, we study the EFT for a binary system consisting of two infinitely-long cosmic strings with small velocity and small spatial substructure, or "wiggles". The complexity of the system requires the introduction of two perturbative expansion parameters, constructed from the velocity and size of the wiggles, in contrast with the point particle case, for which a single parameter is sufficient. This further requires us to assign new power counting rules in the system. We integrate out the modes corresponding to potential gravitons, yielding an effective action for the radiation gravitons. We show that this action describes a changing quadrupole, sourced by the bending modes of the string, which in turn generates gravitational waves. We study the ultraviolet divergences in this description, and use them to obtain the classical renormalization group flow of the string tension in such a setting.

9.434623

9.148166

9.495837

9.06168

9.944276

9.940435

9.976021

8.901213

9.02776

9.557734

8.890974

9.291327

9.099766

8.864204

9.559703

9.441648

8.91356

8.871267

8.978108

9.142748

8.857588

1608.02654

Kazuma Shimizu

Tomoki Nosaka, Kazuma Shimizu and Seiji Terashima

Mass Deformed ABJM Theory on Three Sphere in Large N limit

34 pages, 1 figure; v2 :references added, minor changes, published version

null

10.1007/JHEP03(2017)121

YITP-16-44, KIAS-P16060

hep-th

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

In this paper the free energy of the mass deformed ABJM theory on S^3 in the large N limit is studied. We find a new solution of the large N saddle point equation which exists for an arbitrary value of the mass parameter, and compute the free energies for these solutions. We also show that the solution corresponding to an asymptotically AdS_4 geometry is singular at a certain value of the mass parameter and does not exist over this critical value. It is not clear what the gravity dual of the mass deformed ABJM theory on S^3 for the mass parameter larger than the critical value is.

[ { "created": "Mon, 8 Aug 2016 23:40:54 GMT", "version": "v1" }, { "created": "Fri, 7 Apr 2017 10:33:04 GMT", "version": "v2" } ]

2017-04-26

[ [ "Nosaka", "Tomoki", "" ], [ "Shimizu", "Kazuma", "" ], [ "Terashima", "Seiji", "" ] ]

In this paper the free energy of the mass deformed ABJM theory on S^3 in the large N limit is studied. We find a new solution of the large N saddle point equation which exists for an arbitrary value of the mass parameter, and compute the free energies for these solutions. We also show that the solution corresponding to an asymptotically AdS_4 geometry is singular at a certain value of the mass parameter and does not exist over this critical value. It is not clear what the gravity dual of the mass deformed ABJM theory on S^3 for the mass parameter larger than the critical value is.

5.571032

4.547699

6.182302

4.960283

5.138581

4.822439

4.751009

4.880229

4.803548

6.085866

4.833146

4.900593

5.533461

5.014266

4.875115

4.798306

4.859136

5.014982

5.002473

5.397358

4.872145

1510.04978

Yi-Nan Wang

Washington Taylor and Yi-Nan Wang

A Monte Carlo exploration of threefold base geometries for 4d F-theory vacua

38 pages, 22 figures

null

10.1007/JHEP01(2016)137

MIT-CTP-4697

hep-th

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

We use Monte Carlo methods to explore the set of toric threefold bases that support elliptic Calabi-Yau fourfolds for F-theory compactifications to four dimensions, and study the distribution of geometrically non-Higgsable gauge groups, matter, and quiver structure. We estimate the number of distinct threefold bases in the connected set studied to be $\sim { 10^{48}}$. The distribution of bases peaks around $h^{1, 1}\sim 82$. All bases encountered after "thermalization" have some geometric non-Higgsable structure. We find that the number of non-Higgsable gauge group factors grows roughly linearly in $h^{1,1}$ of the threefold base. Typical bases have $\sim 6$ isolated gauge factors as well as several larger connected clusters of gauge factors with jointly charged matter. Approximately 76% of the bases sampled contain connected two-factor gauge group products of the form SU(3)$\times$SU(2), which may act as the non-Abelian part of the standard model gauge group. SU(3)$\times$SU(2) is the third most common connected two-factor product group, following SU(2)$\times$SU(2) and $G_2\times$SU(2), which arise more frequently.

[ { "created": "Fri, 16 Oct 2015 18:50:15 GMT", "version": "v1" }, { "created": "Tue, 27 Oct 2015 18:42:10 GMT", "version": "v2" }, { "created": "Mon, 9 Nov 2015 17:41:12 GMT", "version": "v3" } ]

2016-02-17

[ [ "Taylor", "Washington", "" ], [ "Wang", "Yi-Nan", "" ] ]

We use Monte Carlo methods to explore the set of toric threefold bases that support elliptic Calabi-Yau fourfolds for F-theory compactifications to four dimensions, and study the distribution of geometrically non-Higgsable gauge groups, matter, and quiver structure. We estimate the number of distinct threefold bases in the connected set studied to be $\sim { 10^{48}}$. The distribution of bases peaks around $h^{1, 1}\sim 82$. All bases encountered after "thermalization" have some geometric non-Higgsable structure. We find that the number of non-Higgsable gauge group factors grows roughly linearly in $h^{1,1}$ of the threefold base. Typical bases have $\sim 6$ isolated gauge factors as well as several larger connected clusters of gauge factors with jointly charged matter. Approximately 76% of the bases sampled contain connected two-factor gauge group products of the form SU(3)$\times$SU(2), which may act as the non-Abelian part of the standard model gauge group. SU(3)$\times$SU(2) is the third most common connected two-factor product group, following SU(2)$\times$SU(2) and $G_2\times$SU(2), which arise more frequently.

7.394906

7.752134

8.233105

7.524607

8.082829

7.798289

8.195684

7.74663

7.180153

10.003162

7.894992

7.632087

7.915041

7.396302

7.333313

7.543697

7.559364

7.369415

7.526394

8.094357

7.486887

2010.14214

Yoshiyuki Tatsuta

Makoto Sakamoto, Maki Takeuchi, Yoshiyuki Tatsuta

Index theorem on $T^2/\mathbb{Z}_N$ orbifolds

33 pages, 3 figures

Phys. Rev. D 103, 025009 (2021)

10.1103/PhysRevD.103.025009

KOBE-TH-20-06, DESY 20-178

hep-th

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

We investigate chiral zero modes and winding numbers at fixed points on $T^2/\mathbb{Z}_N$ orbifolds. It is shown that the Atiyah-Singer index theorem for the chiral zero modes leads to a formula $n_+-n_-=(-V_++V_-)/2N$, where $n_{\pm}$ are the numbers of the $\pm$ chiral zero modes and $V_{\pm}$ are the sums of the winding numbers at the fixed points on $T^2/\mathbb{Z}_N$. This formula is complementary to our zero-mode counting formula on the magnetized orbifolds with non-zero flux background $M \neq 0$, consistently with substituting $M = 0$ for the counting formula $n_+ - n_- = (2M - V_+ + V_-)/2N$.

[ { "created": "Tue, 27 Oct 2020 11:43:13 GMT", "version": "v1" } ]

2021-01-20

[ [ "Sakamoto", "Makoto", "" ], [ "Takeuchi", "Maki", "" ], [ "Tatsuta", "Yoshiyuki", "" ] ]

We investigate chiral zero modes and winding numbers at fixed points on $T^2/\mathbb{Z}_N$ orbifolds. It is shown that the Atiyah-Singer index theorem for the chiral zero modes leads to a formula $n_+-n_-=(-V_++V_-)/2N$, where $n_{\pm}$ are the numbers of the $\pm$ chiral zero modes and $V_{\pm}$ are the sums of the winding numbers at the fixed points on $T^2/\mathbb{Z}_N$. This formula is complementary to our zero-mode counting formula on the magnetized orbifolds with non-zero flux background $M \neq 0$, consistently with substituting $M = 0$ for the counting formula $n_+ - n_- = (2M - V_+ + V_-)/2N$.

5.912796

5.17021

5.710753

5.112384

5.355862

5.196886

5.723672

5.327946

5.220166

6.07609

5.385269

5.631807

5.612522

5.56371

5.496264

5.591208

5.579414

5.513658

5.472408

5.582534

5.53125

hep-th/9701017

null

A. Bassetto, G. Nardelli and A. Shuvaev

Two-dimensional Yang-Mills theory in the leading 1/N expansion revisited

CERN-TH/96-364, 13 pages, revTeX, no figures

Nucl.Phys. B495 (1997) 451-460

10.1016/S0550-3213(97)00207-1

null

hep-th hep-ph

null

We obtain a formal solution of an integral equation for $q\bar q$ bound states, depending on a parameter \eta which interpolates between 't Hooft's (\eta=0) and Wu's (\eta=1) equations. We also get an explicit approximate expression for its spectrum for a particular value of the ratio of the coupling constant to the quark mass. The spectrum turns out to be in qualitative agreement with 't Hooft's as long as \eta \neq 1. In the limit \eta=1 (Wu's case) the entire spectrum collapses to zero, in particular no rising Regge trajectories are found.

[ { "created": "Tue, 7 Jan 1997 09:29:00 GMT", "version": "v1" } ]

2009-10-30

[ [ "Bassetto", "A.", "" ], [ "Nardelli", "G.", "" ], [ "Shuvaev", "A.", "" ] ]

We obtain a formal solution of an integral equation for $q\bar q$ bound states, depending on a parameter \eta which interpolates between 't Hooft's (\eta=0) and Wu's (\eta=1) equations. We also get an explicit approximate expression for its spectrum for a particular value of the ratio of the coupling constant to the quark mass. The spectrum turns out to be in qualitative agreement with 't Hooft's as long as \eta \neq 1. In the limit \eta=1 (Wu's case) the entire spectrum collapses to zero, in particular no rising Regge trajectories are found.

7.438449

6.562616

6.985517

6.59343

6.757033

6.965564

6.639268

6.862635

6.772949

6.83096

6.292149

6.654635

7.023938

6.698879

6.872487

6.568426

6.877292

6.757326

6.702377

7.111954

6.564963

1309.6583

Samir Mathur

Samir D. Mathur

What does strong subadditivity tell us about black holes?

12 pages, 8 figures, Expanded version of proceedings for Light Cone 2012, Delhi

null

10.1016/j.nuclphysbps.2014.04.003

null

hep-th gr-qc

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

It has been argued that small corrections to evolution arising from non-geometric effects can resolve the information paradox. We can get such effects, for example, from subleading saddle points in the Euclidean path integral. But an inequality derived in 2009 using strong sub-additivity showed that such corrections {\it cannot} solve the problem. As a result we sharpen the original Hawking puzzle: we must either have (A) new (nonlocal) physics or (B) construct hair at the horizon. We get correspondingly different approaches to resolving the AMPS puzzle. Traditional complementarity assumes (A); here we require that the AMPS experiment measures the correct vacuum entanglement of Hawking modes, and invoke nonlocal $A=R_B$ type effects to obtain unitarity of radiation. Fuzzball complementarity is in category (B); here the AMPS measurement is outside the validity of the approximation required to obtain the complementary description, and a effective regular horizon arises only for freely infalling observers with energies $E\gg T$.

[ { "created": "Wed, 25 Sep 2013 17:30:17 GMT", "version": "v1" } ]

2015-06-17

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

It has been argued that small corrections to evolution arising from non-geometric effects can resolve the information paradox. We can get such effects, for example, from subleading saddle points in the Euclidean path integral. But an inequality derived in 2009 using strong sub-additivity showed that such corrections {\it cannot} solve the problem. As a result we sharpen the original Hawking puzzle: we must either have (A) new (nonlocal) physics or (B) construct hair at the horizon. We get correspondingly different approaches to resolving the AMPS puzzle. Traditional complementarity assumes (A); here we require that the AMPS experiment measures the correct vacuum entanglement of Hawking modes, and invoke nonlocal $A=R_B$ type effects to obtain unitarity of radiation. Fuzzball complementarity is in category (B); here the AMPS measurement is outside the validity of the approximation required to obtain the complementary description, and a effective regular horizon arises only for freely infalling observers with energies $E\gg T$.

21.004143

19.921007

22.677265

20.113729

21.946146

23.122797

23.542797

20.669455

20.322227

25.423323

20.286325

19.78043

20.634989

19.721712

20.660877

19.291298

20.836296

19.554432

19.81102

22.099754

19.595484

hep-th/9905169

T. Ioannidou

Theodora Ioannidou and Paul M. Sutcliffe

Non-Bogomolny SU(N) BPS Monopoles

14 pages, 1 figure

Phys.Rev.D60:105009,1999

10.1103/PhysRevD.60.105009

UKC/IMS/99/22

hep-th

null

For N>2 we present static monopole solutions of the second order SU(N) BPS Yang-Mills-Higgs equations which are not solutions of the first order Bogomolny equations. These spherically symmetric solutions may be interpreted as monopole anti-monopole configurations and their construction involves harmonic maps into complex projective spaces.

[ { "created": "Mon, 24 May 1999 10:42:14 GMT", "version": "v1" } ]

2010-11-19

[ [ "Ioannidou", "Theodora", "" ], [ "Sutcliffe", "Paul M.", "" ] ]

For N>2 we present static monopole solutions of the second order SU(N) BPS Yang-Mills-Higgs equations which are not solutions of the first order Bogomolny equations. These spherically symmetric solutions may be interpreted as monopole anti-monopole configurations and their construction involves harmonic maps into complex projective spaces.

9.344246

6.318702

8.187173

6.295792

6.687109

6.547641

6.007303

6.396583

6.440255

7.322005

6.217235

7.156106

7.830998

7.125039

7.359732

7.065886

7.379384

7.327148

7.539675

8.179858

7.077469

hep-th/9610063

Arne Lykke Larsen

A.L. Larsen (University of Alberta, Canada)

Cosmic Strings and Black Holes

28 pages, Latex. 5 figures not included. For the proceedings of "String Gravity", Paris, France, June 1996 and the e-proceedings of "Non-Equilibrium Phase Transitions", Santa Fe, New Mexico, July 1996

null

Alberta Thy 33-96

hep-th gr-qc

null

In the first part of this talk, I consider some exact string solutions in curved spacetimes. In curved spacetimes with a Killing vector (timelike or spacelike), the string equations of motion and constraints are reduced to the Hamilton equations of a relativistic point-particle in a scalar potential, by imposing a particular ansatz. As special examples I consider circular strings in axially symmetric spacetimes, as well as stationary strings in stationary spacetimes. In the second part of the talk, I then consider in more detail the stationary strings in the Kerr -Newman geometry. It is shown that the world-sheet of a stationary string, that passes the static limit of the 4-D Kerr-Newman black hole, describes a 2-D black hole. Mathematical results for 2-D black holes can therefore be applied to physical objects; (say) cosmic strings in the vicinity of Kerr black holes. As an immediate general result, it follows that the string modes are thermally excited.

[ { "created": "Wed, 9 Oct 1996 15:07:32 GMT", "version": "v1" } ]

2007-05-23

[ [ "Larsen", "A. L.", "", "University of Alberta, Canada" ] ]

In the first part of this talk, I consider some exact string solutions in curved spacetimes. In curved spacetimes with a Killing vector (timelike or spacelike), the string equations of motion and constraints are reduced to the Hamilton equations of a relativistic point-particle in a scalar potential, by imposing a particular ansatz. As special examples I consider circular strings in axially symmetric spacetimes, as well as stationary strings in stationary spacetimes. In the second part of the talk, I then consider in more detail the stationary strings in the Kerr -Newman geometry. It is shown that the world-sheet of a stationary string, that passes the static limit of the 4-D Kerr-Newman black hole, describes a 2-D black hole. Mathematical results for 2-D black holes can therefore be applied to physical objects; (say) cosmic strings in the vicinity of Kerr black holes. As an immediate general result, it follows that the string modes are thermally excited.

8.979314

8.826564

9.419717

8.778128

9.486773

9.371322

8.795895

7.633342

8.563303

9.275944

7.978405

8.464379

8.50273

8.316941

8.328106

8.388321

8.65247

8.490075

8.21941

8.659247

8.434392

hep-th/9205087

Tsuneo Uematsu

Tatsuo Kobayashi and Tsuneo Uematsu

Differential Calculus on the Quantum Superspace and Deformation of Phase Space

17 pages, KUCP-47

Z.Phys. C56 (1992) 193-200

10.1007/BF01555514

null

hep-th

null

We investigate non-commutative differential calculus on the supersymmetric version of quantum space where the non-commuting super-coordinates consist of bosonic as well as fermionic (Grassmann) coordinates. Multi-parametric quantum deformation of the general linear supergroup, $GL_q(m|n)$, is studied and the explicit form for the ${\hat R}$-matrix, which is the solution of the Yang-Baxter equation, is presented. We derive the quantum-matrix commutation relation of $GL_q(m|n)$ and the quantum superdeterminant. We apply these results for the $GL_q(m|n)$ to the deformed phase-space of supercoordinates and their momenta, from which we construct the ${\hat R}$-matrix of q-deformed orthosymplectic group $OSp_q(2n|2m)$ and calculate its ${\hat R}$-matrix. Some detailed argument for quantum super-Clifford algebras and the explict expression of the ${\hat R}$-matrix will be presented for the case of $OSp_q(2|2)$.

[ { "created": "Tue, 26 May 1992 02:33:58 GMT", "version": "v1" } ]

2009-10-22

[ [ "Kobayashi", "Tatsuo", "" ], [ "Uematsu", "Tsuneo", "" ] ]

We investigate non-commutative differential calculus on the supersymmetric version of quantum space where the non-commuting super-coordinates consist of bosonic as well as fermionic (Grassmann) coordinates. Multi-parametric quantum deformation of the general linear supergroup, $GL_q(m|n)$, is studied and the explicit form for the ${\hat R}$-matrix, which is the solution of the Yang-Baxter equation, is presented. We derive the quantum-matrix commutation relation of $GL_q(m|n)$ and the quantum superdeterminant. We apply these results for the $GL_q(m|n)$ to the deformed phase-space of supercoordinates and their momenta, from which we construct the ${\hat R}$-matrix of q-deformed orthosymplectic group $OSp_q(2n|2m)$ and calculate its ${\hat R}$-matrix. Some detailed argument for quantum super-Clifford algebras and the explict expression of the ${\hat R}$-matrix will be presented for the case of $OSp_q(2|2)$.

6.221625

6.839049

6.724763

6.24125

6.186568

6.774237

6.739049

6.460837

6.385805

7.649504

6.180841

6.172302

6.402791

6.161974

6.145386

6.386133

6.44619

6.368623

6.190369

6.434696

6.17137

hep-th/0012220

Hugo Compean

H. Garcia-Compean, O. Obregon, C. Ramirez, M. Sabido

On S-duality in (2+1)-Chern-Simons Supergravity

10+1 pages, latex, no figures

Phys.Rev. D64 (2001) 024002

10.1103/PhysRevD.64.024002

CINVESTAV-FIS 66/00

hep-th

null

Strong/weak coupling duality in Chern-Simons supergravity is studied. It is argued that this duality can be regarded as an example of superduality. The use of supergroup techniques for the description of Chern-Simons supergravity greatly facilitates the analysis.

[ { "created": "Fri, 22 Dec 2000 00:20:50 GMT", "version": "v1" } ]

2009-10-31

[ [ "Garcia-Compean", "H.", "" ], [ "Obregon", "O.", "" ], [ "Ramirez", "C.", "" ], [ "Sabido", "M.", "" ] ]

Strong/weak coupling duality in Chern-Simons supergravity is studied. It is argued that this duality can be regarded as an example of superduality. The use of supergroup techniques for the description of Chern-Simons supergravity greatly facilitates the analysis.

8.680155

6.440574

8.494261

6.994277

7.161633

7.188906

6.745494

7.313609

7.197714

6.240271

7.178709

6.891239

7.605865

7.508034

7.054955

7.080299

6.824461

7.203734

7.404568

7.653793

7.132975

1005.3044

Ashoke Sen

Shamik Banerjee, Rajesh K. Gupta and Ashoke Sen

Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function

LaTeX file, 52 pages; v2: minor corrections, references added

JHEP 1103:147,2011

10.1007/JHEP03(2011)147

null

hep-th gr-qc

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

We evaluate the one loop determinant of matter multiplet fields of N=4 supergravity in the near horizon geometry of quarter BPS black holes, and use it to calculate logarithmic corrections to the entropy of these black holes using the quantum entropy function formalism. We show that even though individual fields give non-vanishing logarithmic contribution to the entropy, the net contribution from all the fields in the matter multiplet vanishes. Thus logarithmic corrections to the entropy of quarter BPS black holes, if present, must be independent of the number of matter multiplet fields in the theory. This is consistent with the microscopic results. During our analysis we also determine the complete spectrum of small fluctuations of matter multiplet fields in the near horizon geometry.

[ { "created": "Mon, 17 May 2010 20:49:43 GMT", "version": "v1" }, { "created": "Tue, 24 Aug 2010 19:07:45 GMT", "version": "v2" } ]

2011-04-05

[ [ "Banerjee", "Shamik", "" ], [ "Gupta", "Rajesh K.", "" ], [ "Sen", "Ashoke", "" ] ]

We evaluate the one loop determinant of matter multiplet fields of N=4 supergravity in the near horizon geometry of quarter BPS black holes, and use it to calculate logarithmic corrections to the entropy of these black holes using the quantum entropy function formalism. We show that even though individual fields give non-vanishing logarithmic contribution to the entropy, the net contribution from all the fields in the matter multiplet vanishes. Thus logarithmic corrections to the entropy of quarter BPS black holes, if present, must be independent of the number of matter multiplet fields in the theory. This is consistent with the microscopic results. During our analysis we also determine the complete spectrum of small fluctuations of matter multiplet fields in the near horizon geometry.

5.989591

4.881252

6.016377

5.104602

5.342846

5.889312

5.329844

4.959486

5.112285

6.589376

5.264308

5.331267

5.98729

5.554624

5.466603

5.403962

5.366075

5.425571

5.530039

6.036409

5.483366

hep-th/9412172

Paul Demkin

P.Demkin

On the stability of p-brane

12 pages, LaTex, no figures

Class.Quant.Grav.12:289-296,1995

10.1088/0264-9381/12/2/003

UUITP 8-94

hep-th

null

Stability of some solutions of the equations of motion of bosonic p-branes in curved and flat spacetimes is stated.

[ { "created": "Mon, 19 Dec 1994 20:00:46 GMT", "version": "v1" } ]

2010-04-06

[ [ "Demkin", "P.", "" ] ]

Stability of some solutions of the equations of motion of bosonic p-branes in curved and flat spacetimes is stated.

25.042894

12.211463

13.858706

12.667267

12.647935

10.698009

12.28795

10.099736

13.184925

14.258826

10.776479

11.553988

13.574379

12.34012

11.983453

12.36631

11.984444

12.022761

11.957977

12.681086

12.364199

2112.08226

Aidan Herderschee

A New Framework for Higher Loop Witten Diagrams

4 pages + appendices

null

LCTP-21-36

hep-th

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

The differential representation is a novel formalism for studying boundary correlators in $(d+1)$-dimensional anti-de Sitter space. In this letter, we generalize the differential representation beyond tree level using the notion of operator-valued integrals. We use the differential representation to compute three-point bubble and triangle Witten diagrams with external states of conformal dimension $\Delta=d$. We compare the former to a position space computation.

[ { "created": "Wed, 15 Dec 2021 16:00:36 GMT", "version": "v1" } ]

2021-12-16

[ [ "Herderschee", "Aidan", "" ] ]

The differential representation is a novel formalism for studying boundary correlators in $(d+1)$-dimensional anti-de Sitter space. In this letter, we generalize the differential representation beyond tree level using the notion of operator-valued integrals. We use the differential representation to compute three-point bubble and triangle Witten diagrams with external states of conformal dimension $\Delta=d$. We compare the former to a position space computation.

13.498507

9.901592

13.426818

10.321832

10.434965

10.259077

11.269883

9.610802

10.364436

12.535919

11.078406

11.064976

12.177825

11.771972

11.368453

11.531199

11.477954

10.908519

11.99311

12.777964

10.911607

1205.4711

Gianguido Dall'Agata

Gianguido Dall'Agata and Fabio Zwirner

Quantum corrections to broken N = 8 supergravity

30 pages. v2: few misprints corrected. v3: JHEP published version

JHEP09(2012)078

10.1007/JHEP09(2012)078

DFPD-12/TH/3

hep-th

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

We show that the one-loop effective potential of spontaneously broken N=8 supergravity is calculable and finite at all classical four-dimensional Minkowski vacua without tachyons in the spectrum. The reason is that the supertraces of the quadratic and quartic mass matrices vanish along the classically flat directions: Str M^2 = Str M^4 =0. We also show that Str M^6 = 0 but Str M^8 > 0 in a broad class of vacua with broken supersymmetry on a flat background, which includes all those explicitly identified so far. We find analytical and numerical evidence that the corresponding one-loop effective potential is negative-definite.

[ { "created": "Mon, 21 May 2012 20:00:00 GMT", "version": "v1" }, { "created": "Fri, 24 Aug 2012 06:38:58 GMT", "version": "v2" }, { "created": "Fri, 21 Sep 2012 15:16:30 GMT", "version": "v3" } ]

2015-06-05

[ [ "Dall'Agata", "Gianguido", "" ], [ "Zwirner", "Fabio", "" ] ]

We show that the one-loop effective potential of spontaneously broken N=8 supergravity is calculable and finite at all classical four-dimensional Minkowski vacua without tachyons in the spectrum. The reason is that the supertraces of the quadratic and quartic mass matrices vanish along the classically flat directions: Str M^2 = Str M^4 =0. We also show that Str M^6 = 0 but Str M^8 > 0 in a broad class of vacua with broken supersymmetry on a flat background, which includes all those explicitly identified so far. We find analytical and numerical evidence that the corresponding one-loop effective potential is negative-definite.

7.811477

7.532156

7.460766

7.319802

8.237773

8.276749

7.93058

7.447975

7.180167

8.057941

7.409273

7.505795

7.434537

7.08743

7.46964

7.704118

7.518624

7.337139

7.257749

8.025282

7.401051

1705.06159

Edward Shuryak

M.A. Escobar-Ruiz, E. Shuryak, A.V. Turbiner

Fluctuations in quantum mechanics and field theories from a new version of semiclassical theory. II

null

Phys. Rev. D 96, 045005 (2017)

10.1103/PhysRevD.96.045005

null

hep-th nucl-th quant-ph

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

This is the second paper on semiclassical approach based on the density matrix given by the Euclidean time path integral with fixed coinciding endpoints. The classical path, interpolating between this point and the classical vacuum, called "flucton", plus systematic one- and two-loop corrections, has been calculated in the first paper \cite{Escobar-Ruiz:2016aqv} for double-well potential and now extended for a number of quantum-mechanical problems (anharmonic oscillator, sine-Gordon potential). The method is based on systematic expansion in Feynman diagrams and thus can be extended to QFTs. We show that the loop expansion in QM reminds the leading log-approximations in QFT. In this sequel we present complete set of results obtained using this method in unified way. Alternatively, starting from the Schr\"{o}dinger equation we derive a {\it generalized} Bloch equation which semiclassical-like, iterative solution generates the loop expansion. We re-derive two loop expansions for all three above potentials and now extend it to three loops, which has not yet been done via Feynman diagrams. All results for both methods are fully consistent with each other. Asymmetric (tilted) double-well potential (non-degenerate minima) is also studied using the second method.

[ { "created": "Wed, 17 May 2017 13:42:55 GMT", "version": "v1" } ]

2017-08-16

[ [ "Escobar-Ruiz", "M. A.", "" ], [ "Shuryak", "E.", "" ], [ "Turbiner", "A. V.", "" ] ]

This is the second paper on semiclassical approach based on the density matrix given by the Euclidean time path integral with fixed coinciding endpoints. The classical path, interpolating between this point and the classical vacuum, called "flucton", plus systematic one- and two-loop corrections, has been calculated in the first paper \cite{Escobar-Ruiz:2016aqv} for double-well potential and now extended for a number of quantum-mechanical problems (anharmonic oscillator, sine-Gordon potential). The method is based on systematic expansion in Feynman diagrams and thus can be extended to QFTs. We show that the loop expansion in QM reminds the leading log-approximations in QFT. In this sequel we present complete set of results obtained using this method in unified way. Alternatively, starting from the Schr\"{o}dinger equation we derive a {\it generalized} Bloch equation which semiclassical-like, iterative solution generates the loop expansion. We re-derive two loop expansions for all three above potentials and now extend it to three loops, which has not yet been done via Feynman diagrams. All results for both methods are fully consistent with each other. Asymmetric (tilted) double-well potential (non-degenerate minima) is also studied using the second method.

14.836243

16.023443

16.102705

14.376057

16.49052

16.339224

15.973362

14.568694

14.171521

17.741333

14.855384

14.759404

14.96948

14.245139

14.727557

14.474187

14.294962

14.242039

14.117574

15.306568

14.521119

1808.06788

Rob Klabbers

Gleb Arutyunov, Rob Klabbers, Sergei Savin

Four-point functions of 1/2-BPS operators of any weights in the supergravity approximation

6 pages, database included; v2: database extended, appendix added

null

10.1007/JHEP09(2018)118

null

hep-th

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

We present the computation of all the correlators of 1/2-BPS operators in $\mathcal{N} = 4$ SYM with weights up to 8 as well as some very high-weight correlation functions from the effective supergravity action. The computation is done by implementing the recently developed simplified algorithm in combination with the harmonic polynomial formalism. We provide a database of these results attached to this publication and additionally check for almost all of the functions in this database that they agree with the conjecture on their Mellin-space form.

[ { "created": "Tue, 21 Aug 2018 07:12:23 GMT", "version": "v1" }, { "created": "Mon, 3 Sep 2018 15:56:32 GMT", "version": "v2" } ]

2018-10-17

[ [ "Arutyunov", "Gleb", "" ], [ "Klabbers", "Rob", "" ], [ "Savin", "Sergei", "" ] ]

We present the computation of all the correlators of 1/2-BPS operators in $\mathcal{N} = 4$ SYM with weights up to 8 as well as some very high-weight correlation functions from the effective supergravity action. The computation is done by implementing the recently developed simplified algorithm in combination with the harmonic polynomial formalism. We provide a database of these results attached to this publication and additionally check for almost all of the functions in this database that they agree with the conjecture on their Mellin-space form.

13.171067

12.228785

13.023076

10.63763

12.191484

12.537653

11.759455

11.965221

11.196241

13.926299

11.62309

11.581357

11.644694

11.037355

11.955154

11.506636

11.655938

11.628068

11.533786

12.700853

11.515071

hep-th/9509170

Clifford Johnson

Per Berglund, Clifford V. Johnson, Shamit Kachru, Philippe Zaugg

Heterotic Coset Models and (0,2) String Vacua

53 pages, harvmac (Corrections made to spectra of E_6 examples. Other minor changes.)

Nucl.Phys.B460:252-298,1996

10.1016/0550-3213(95)00641-9

NSF-ITP-95-117, HUTP-95/A002, MIT-CTP-2463, IASSNS-HEP-95/68, PUPT-1553

hep-th

null

A Lagrangian definition of a large family of (0,2) supersymmetric conformal field theories may be made by an appropriate gauge invariant combination of a gauged Wess-Zumino-Witten model, right-moving supersymmetry fermions, and left-moving current algebra fermions. Throughout this paper, use is made of the interplay between field theoretic and algebraic techniques (together with supersymmetry) which is facilitated by such a definition. These heterotic coset models are thus studied in some detail, with particular attention paid to the (0,2) analogue of the N=2 minimal models, which coincide with the `monopole' theory of Giddings, Polchinski and Strominger. A family of modular invariant partition functions for these (0,2) minimal models is presented. Some examples of N=1 supersymmetric four dimensional string theories with gauge groups E_6 X G and SO(10) X G are presented, using these minimal models as building blocks. The factor G represents various enhanced symmetry groups made up of products of SU(2) and U(1).

[ { "created": "Fri, 29 Sep 1995 03:37:09 GMT", "version": "v1" }, { "created": "Wed, 11 Oct 1995 05:30:24 GMT", "version": "v2" } ]

2009-10-07

[ [ "Berglund", "Per", "" ], [ "Johnson", "Clifford V.", "" ], [ "Kachru", "Shamit", "" ], [ "Zaugg", "Philippe", "" ] ]

A Lagrangian definition of a large family of (0,2) supersymmetric conformal field theories may be made by an appropriate gauge invariant combination of a gauged Wess-Zumino-Witten model, right-moving supersymmetry fermions, and left-moving current algebra fermions. Throughout this paper, use is made of the interplay between field theoretic and algebraic techniques (together with supersymmetry) which is facilitated by such a definition. These heterotic coset models are thus studied in some detail, with particular attention paid to the (0,2) analogue of the N=2 minimal models, which coincide with the `monopole' theory of Giddings, Polchinski and Strominger. A family of modular invariant partition functions for these (0,2) minimal models is presented. Some examples of N=1 supersymmetric four dimensional string theories with gauge groups E_6 X G and SO(10) X G are presented, using these minimal models as building blocks. The factor G represents various enhanced symmetry groups made up of products of SU(2) and U(1).

9.250484

8.900215

9.25767

8.444943

9.736605

8.915077

8.822847

9.004642

9.273399

10.336807

8.90639

8.888861

9.259393

8.673622

8.702528

8.81607

8.893635

8.967585

8.660161

8.985662

8.663251

2305.04399

Dmitri Khveshchenko

D.V.Khveshchenko

IT from QUBIT or ALL from HALL?

null

Lith. Journal of Physics, v.64, n.2, p.82 (2024)

null

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

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

Generalized $1+0$-dimensional Liouvillean dynamics describing deformations of the Sachdev-Ye-Kitaev (SYK) model, as well as the various $1+1$-dimensional dilaton and Horava-Lifshitz gravity theories, can all be mapped onto single-particle quantum mechanics of a non-relativistic charge propagating in a (generally, curved) $2d$ space and subject to a (generally, non-uniform) magnetic field. The latter description provides a standard playground for the phenomenon of Quantum Hall Effect (QHE), thereby elucidating the intrinsically topological nature of pertinent gravity theories and demystifying their (pseudo)holographic connection to a broad class of the SYK-like models.

[ { "created": "Mon, 8 May 2023 00:53:36 GMT", "version": "v1" } ]

2024-07-30

[ [ "Khveshchenko", "D. V.", "" ] ]

Generalized $1+0$-dimensional Liouvillean dynamics describing deformations of the Sachdev-Ye-Kitaev (SYK) model, as well as the various $1+1$-dimensional dilaton and Horava-Lifshitz gravity theories, can all be mapped onto single-particle quantum mechanics of a non-relativistic charge propagating in a (generally, curved) $2d$ space and subject to a (generally, non-uniform) magnetic field. The latter description provides a standard playground for the phenomenon of Quantum Hall Effect (QHE), thereby elucidating the intrinsically topological nature of pertinent gravity theories and demystifying their (pseudo)holographic connection to a broad class of the SYK-like models.

9.70403

8.290376

9.285728

8.439441

8.978539

9.425227

9.090381

8.514943

8.277468

9.702709

8.283092

8.774236

8.625506

8.277453

8.303497

8.443117

8.118758

8.398058

8.607965

8.786511

8.412415

2105.00297

James Page Mr

James Page and Jo\~ao Magueijo

Linking the Baum-Hawking-Coleman Mechanism with Unimodular Gravity and Vilenkin's Probability Flux

7 pages

null

10.1088/1475-7516/2021/08/034

null

hep-th gr-qc

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

We revisit a mechanism proposed by Hawking to resolve the cosmological constant problem (and the controversy it generated) to identify possibly more palatable alternatives and explore new connections and interpretations. In particular, through the introduction of a new action coupling the four-form field strength $F = dA$ to the cosmological constant via a dynamical field $\lambda (x)$, a novel Baum-Hawking-Coleman type mechanism is presented. This mechanism can be seen as a generalisation of Unimodular Gravity. A theory with a similar coupling to "$F^2$" is also presented, with promising results. We show how in such theories the 3-form is closely related to the Chern-Simons density, and its associated definition of time. On the interpretational front, we propose a method avoiding the standard Euclidean action prescription, which makes use of Vilenkin's probability flux.

[ { "created": "Sat, 1 May 2021 16:20:22 GMT", "version": "v1" }, { "created": "Sat, 17 Jul 2021 21:08:35 GMT", "version": "v2" } ]

2021-08-25

[ [ "Page", "James", "" ], [ "Magueijo", "João", "" ] ]

We revisit a mechanism proposed by Hawking to resolve the cosmological constant problem (and the controversy it generated) to identify possibly more palatable alternatives and explore new connections and interpretations. In particular, through the introduction of a new action coupling the four-form field strength $F = dA$ to the cosmological constant via a dynamical field $\lambda (x)$, a novel Baum-Hawking-Coleman type mechanism is presented. This mechanism can be seen as a generalisation of Unimodular Gravity. A theory with a similar coupling to "$F^2$" is also presented, with promising results. We show how in such theories the 3-form is closely related to the Chern-Simons density, and its associated definition of time. On the interpretational front, we propose a method avoiding the standard Euclidean action prescription, which makes use of Vilenkin's probability flux.

15.726974

18.052317

16.484697

16.568752

17.30131

16.808418

17.569973

16.885872

16.895428

17.182894

16.907791

16.198727

16.416515

16.158163

16.36545

16.268332

16.117807

16.340168

16.305779

15.954091

15.544334

2009.10123

Matteo Sacchi

Emanuele Beratto and Noppadol Mekareeya and Matteo Sacchi

Marginal operators and supersymmetry enhancement in 3d $S$-fold SCFTs

53 pages, 6 figures; v2: references added, version published on JHEP

null

10.1007/JHEP12(2020)017

null

hep-th

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

The study of exactly marginal deformations of superconformal field theories is a topic that has received considerable attention due to their rich properties. We investigate the $\mathcal{N}=2$ preserving exactly marginal operators of 3d $S$-fold SCFTs. Two families of such theories are considered: one is constructed by gauging the diagonal flavour symmetry of the $T(U(2))$ and $T(U(3))$ theories, and the other by gauging the diagonal flavour symmetry of the $T^{[2,1^2]}_{[2,1^2]}(SU(4))$ theory. In both families, it is possible to turn on a Chern--Simons level for each gauge group and to couple to each theory various numbers of hypermultiplets. The detailed analysis of the exactly marginal operators, along with the superconformal indices, allows us to determine whether supersymmetry gets enhanced in the infrared and to deduce the amount of supersymmetry of the corresponding SCFT.

[ { "created": "Mon, 21 Sep 2020 18:29:30 GMT", "version": "v1" }, { "created": "Fri, 30 Oct 2020 10:45:51 GMT", "version": "v2" } ]

2020-12-30

[ [ "Beratto", "Emanuele", "" ], [ "Mekareeya", "Noppadol", "" ], [ "Sacchi", "Matteo", "" ] ]

The study of exactly marginal deformations of superconformal field theories is a topic that has received considerable attention due to their rich properties. We investigate the $\mathcal{N}=2$ preserving exactly marginal operators of 3d $S$-fold SCFTs. Two families of such theories are considered: one is constructed by gauging the diagonal flavour symmetry of the $T(U(2))$ and $T(U(3))$ theories, and the other by gauging the diagonal flavour symmetry of the $T^{[2,1^2]}_{[2,1^2]}(SU(4))$ theory. In both families, it is possible to turn on a Chern--Simons level for each gauge group and to couple to each theory various numbers of hypermultiplets. The detailed analysis of the exactly marginal operators, along with the superconformal indices, allows us to determine whether supersymmetry gets enhanced in the infrared and to deduce the amount of supersymmetry of the corresponding SCFT.

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hep-th/0301029

Martijn Wijnholt

On Curvature-Squared Corrections for D-brane Actions

8 pages, 1 figure, harvmac

null

HUTP-03/A001

hep-th

null

Curvature-squared corrections for D-brane actions in type II string theory were derived by Bachas, Bain and Green. Here we write down a generalisation of these corrections to all orders in $F$, the field strength of the U(1) gauge field on the brane. Some of these terms are needed to restore consistency with T-duality.

[ { "created": "Tue, 7 Jan 2003 00:52:38 GMT", "version": "v1" } ]

2007-05-23

[ [ "Wijnholt", "Martijn", "" ] ]

Curvature-squared corrections for D-brane actions in type II string theory were derived by Bachas, Bain and Green. Here we write down a generalisation of these corrections to all orders in $F$, the field strength of the U(1) gauge field on the brane. Some of these terms are needed to restore consistency with T-duality.

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