LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/9605048

Berndt Mueller

Carsten Greiner and Berndt Muller

Classical Fields Near Thermal Equilibrium

REVTeX, 6 figures

Phys.Rev.D55:1026-1046,1997

10.1103/PhysRevD.55.1026

DUKE-TH-96-99

hep-th hep-ph nucl-th

null

We discuss the classical limit for the long-distance (``soft'') modes of a quantum field when the hard modes of the field are in thermal equilibrium. We address the question of the correct semiclassical dynamics when a momentum cut-off is introduced. Higher order contributions leads to a stochastic interpretation for the effective action in analogy to Quantum Brownian Motion, resulting in dissipation and decoherence for the evolution of the soft modes. Particular emphasis is put on the understanding of dissipation. Our discussion focuses mostly on scalar fields, but we make some remarks on the extension to gauge theories.

[ { "created": "Tue, 7 May 1996 23:11:46 GMT", "version": "v1" }, { "created": "Wed, 8 May 1996 12:58:10 GMT", "version": "v2" } ]

2014-11-18

[ [ "Greiner", "Carsten", "" ], [ "Muller", "Berndt", "" ] ]

We discuss the classical limit for the long-distance (``soft'') modes of a quantum field when the hard modes of the field are in thermal equilibrium. We address the question of the correct semiclassical dynamics when a momentum cut-off is introduced. Higher order contributions leads to a stochastic interpretation for the effective action in analogy to Quantum Brownian Motion, resulting in dissipation and decoherence for the evolution of the soft modes. Particular emphasis is put on the understanding of dissipation. Our discussion focuses mostly on scalar fields, but we make some remarks on the extension to gauge theories.

13.222468

12.515588

11.185683

11.537227

11.879715

12.953915

11.791264

12.375075

11.541537

12.262006

12.06904

12.124839

11.337708

11.477571

11.406473

11.878471

11.58708

11.790932

11.385307

10.952866

11.683612

1807.08985

Saeedeh Sadeghian

Hidden symmetries of near-horizon extremal Kerr-AdS-NUT geometries

16 pages, matches published version

Phys. Rev. D 98, 084031 (2018)

10.1103/PhysRevD.98.084031

IPM/P-2018/050

hep-th gr-qc

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

We study hidden symmetries, the symmetries associated with the Killing tensors, of the near horizon geometry of odd-dimensional Kerr-AdS-NUT black hole in two limits: generic extremal and extremal vanishing horizon (EVH) limits. Starting from Kerr-AdS-NUT black hole in ellipsoidal coordinates which admits integrable geodesic equations, we obtain the near horizon extremal/EVH geometries and their principal and Killing tensors by taking the near horizon limit. We explicitly demonstrate that geodesic equations are separable and integrable on theses near horizon geometries. We also compute the constants of motion and read the Killing tensors of these near horizon geometries from the constants of motion. As we expected, they are the same as the Killing tensors given by taking the near horizon limit.

[ { "created": "Tue, 24 Jul 2018 09:23:15 GMT", "version": "v1" }, { "created": "Thu, 18 Oct 2018 14:28:10 GMT", "version": "v2" } ]

2018-10-19

[ [ "Sadeghian", "Saeedeh", "" ] ]

We study hidden symmetries, the symmetries associated with the Killing tensors, of the near horizon geometry of odd-dimensional Kerr-AdS-NUT black hole in two limits: generic extremal and extremal vanishing horizon (EVH) limits. Starting from Kerr-AdS-NUT black hole in ellipsoidal coordinates which admits integrable geodesic equations, we obtain the near horizon extremal/EVH geometries and their principal and Killing tensors by taking the near horizon limit. We explicitly demonstrate that geodesic equations are separable and integrable on theses near horizon geometries. We also compute the constants of motion and read the Killing tensors of these near horizon geometries from the constants of motion. As we expected, they are the same as the Killing tensors given by taking the near horizon limit.

7.51807

7.323037

7.742947

6.528609

7.799947

8.269682

8.49192

7.388935

7.465868

8.485132

7.668281

7.484147

7.775841

7.331211

7.580468

7.498635

7.525945

7.513395

7.476017

7.631639

7.534706

1208.0058

Changhyun Ahn

The Operator Product Expansion of the Lowest Higher Spin Current at Finite N

62 pages; the footnotes added, some redundant appendices removed, the presentations in the whole paper improved and to appear in JHEP

null

10.1007/JHEP01(2013)041

null

hep-th

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

For the N=2 Kazama-Suzuki(KS) model on CP^3, the lowest higher spin current with spins (2, 5/2, 5/2,3) is obtained from the generalized GKO coset construction. By computing the operator product expansion of this current and itself, the next higher spin current with spins (3, 7/2, 7/2, 4) is also derived. This is a realization of the N=2 W_{N+1} algebra with N=3 in the supersymmetric WZW model. By incorporating the self-coupling constant of lowest higher spin current which is known for the general (N,k), we present the complete nonlinear operator product expansion of the lowest higher spin current with spins (2, 5/2, 5/2, 3) in the N=2 KS model on CP^N space. This should coincide with the asymptotic symmetry of the higher spin AdS_3 supergravity at the quantum level. The large (N,k) 't Hooft limit and the corresponding classical nonlinear algebra are also discussed.

[ { "created": "Wed, 1 Aug 2012 00:24:28 GMT", "version": "v1" }, { "created": "Mon, 10 Dec 2012 04:42:42 GMT", "version": "v2" } ]

2015-06-05

[ [ "Ahn", "Changhyun", "" ] ]

For the N=2 Kazama-Suzuki(KS) model on CP^3, the lowest higher spin current with spins (2, 5/2, 5/2,3) is obtained from the generalized GKO coset construction. By computing the operator product expansion of this current and itself, the next higher spin current with spins (3, 7/2, 7/2, 4) is also derived. This is a realization of the N=2 W_{N+1} algebra with N=3 in the supersymmetric WZW model. By incorporating the self-coupling constant of lowest higher spin current which is known for the general (N,k), we present the complete nonlinear operator product expansion of the lowest higher spin current with spins (2, 5/2, 5/2, 3) in the N=2 KS model on CP^N space. This should coincide with the asymptotic symmetry of the higher spin AdS_3 supergravity at the quantum level. The large (N,k) 't Hooft limit and the corresponding classical nonlinear algebra are also discussed.

6.640334

5.413422

7.264148

5.36589

5.574113

5.616864

5.432476

5.405685

5.446713

7.758433

5.404327

6.016979

6.405537

6.179935

6.030375

6.158608

5.848339

6.089451

5.990816

6.512024

6.133064

1710.01250

Miftachul Hadi

Malcolm Anderson, Miftachul Hadi, Andri Husein

Topological and Hopf charges of a twisted Skyrmion string

8 pages, submitted to Journal of Mathematical and Fundamental Sciences. arXiv admin note: text overlap with arXiv:1505.05930

null

hep-th math-ph math.MP

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

We examine nonlinear sigma models, in particular the Skyrme model with a twist (the twisted Skyrmion string), which comprises a vortex solution with an added dependence on a twist term $mkz$, where $z$ is the vertical coordinate. The topological and Hopf charges of a twisted Skyrmion string are calculated and are shown to be equivalent to the winding number $n$ of the vortex and proportional to $nmk$, respectively. The principle of conservation of the Hopf charge, which is a standard property of the baby Skyrmion model, is generalised to cover the non-compact twisting solutions studied here.

[ { "created": "Thu, 28 Sep 2017 02:58:41 GMT", "version": "v1" }, { "created": "Thu, 8 Feb 2018 03:25:00 GMT", "version": "v2" } ]

2018-02-09

[ [ "Anderson", "Malcolm", "" ], [ "Hadi", "Miftachul", "" ], [ "Husein", "Andri", "" ] ]

We examine nonlinear sigma models, in particular the Skyrme model with a twist (the twisted Skyrmion string), which comprises a vortex solution with an added dependence on a twist term $mkz$, where $z$ is the vertical coordinate. The topological and Hopf charges of a twisted Skyrmion string are calculated and are shown to be equivalent to the winding number $n$ of the vortex and proportional to $nmk$, respectively. The principle of conservation of the Hopf charge, which is a standard property of the baby Skyrmion model, is generalised to cover the non-compact twisting solutions studied here.

14.130652

13.290367

13.957321

11.565193

12.287452

13.021508

12.329405

10.732012

12.82559

12.60208

12.053701

12.994313

13.303164

12.955024

12.891296

12.70296

12.612429

11.999548

13.161778

13.956566

12.616622

2110.02959

Jonah Kudler-Flam

Shreya Vardhan, Jonah Kudler-Flam, Hassan Shapourian, Hong Liu

Bound entanglement in thermalized states and black hole radiation

7+8 pages, 9 figures

null

10.1103/PhysRevLett.129.061602

MIT-CTP/5332

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

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

We study the mixed-state entanglement structure of chaotic quantum many-body systems at late times using the recently developed $\textit{equilibrium approximation}$. A rich entanglement phase diagram emerges when we generalize this technique to evaluate the logarithmic negativity for various universality classes of macroscopically thermalized states. Unlike in the infinite temperature case, when we impose energy constraints at finite temperature, the phase diagrams for the logarithmic negativity and the mutual information become distinct. In particular, we identify a regime where the negativity is extensive but the mutual information is sub-extensive, indicating a large amount of $\textit{bound entanglement}$. When applied to evaporating black holes, these results imply that there is quantum entanglement within the Hawking radiation long before the Page time, although this entanglement may not be distillable into EPR pairs.

[ { "created": "Wed, 6 Oct 2021 18:00:00 GMT", "version": "v1" } ]

2022-08-17

[ [ "Vardhan", "Shreya", "" ], [ "Kudler-Flam", "Jonah", "" ], [ "Shapourian", "Hassan", "" ], [ "Liu", "Hong", "" ] ]

We study the mixed-state entanglement structure of chaotic quantum many-body systems at late times using the recently developed $\textit{equilibrium approximation}$. A rich entanglement phase diagram emerges when we generalize this technique to evaluate the logarithmic negativity for various universality classes of macroscopically thermalized states. Unlike in the infinite temperature case, when we impose energy constraints at finite temperature, the phase diagrams for the logarithmic negativity and the mutual information become distinct. In particular, we identify a regime where the negativity is extensive but the mutual information is sub-extensive, indicating a large amount of $\textit{bound entanglement}$. When applied to evaporating black holes, these results imply that there is quantum entanglement within the Hawking radiation long before the Page time, although this entanglement may not be distillable into EPR pairs.

7.386563

7.357958

8.750526

6.981725

7.486018

7.232431

7.123942

6.892096

7.228837

8.415231

6.77205

7.395785

7.741386

7.7293

7.656628

7.247413

7.580688

7.448034

7.561257

7.840524

7.371387

2209.00696

Alfredo Guevara

Towards Gravity From a Color Symmetry

5 pages + 5 pages app

null

hep-th nlin.SI

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

Using tools from color-kinematics duality we propose a holographic construction of gravitational amplitudes, based on a 2d Kac-Moody theory on the celestial sphere. In the $N\to \infty$ limit the gauge group corresponds to $w_{1+\infty}$, due to the $U(N)$ generators enjoying a simple quantum group structure, which is in turn inherited from a twistor fiber over the celestial sphere. We show how four-dimensional momentum-space is emergent in this picture, which connects directly to the so-called kinematic algebra of the tree-level S-Matrix. On the other hand, the framework can be embedded within a celestial CFT to make contact with holographic symmetry algebras previously observed in the soft expansion. Kac-Moody currents play the role of a graviton to all orders in such expansion, and also lead to a natural notion of Goldstone modes for $w_{1+\infty}$. Focusing on MHV amplitudes, main examples are a BCFW type recursion relation and holomorphic three-point amplitudes.

[ { "created": "Thu, 1 Sep 2022 19:09:04 GMT", "version": "v1" } ]

2022-09-05

[ [ "Guevara", "Alfredo", "" ] ]

Using tools from color-kinematics duality we propose a holographic construction of gravitational amplitudes, based on a 2d Kac-Moody theory on the celestial sphere. In the $N\to \infty$ limit the gauge group corresponds to $w_{1+\infty}$, due to the $U(N)$ generators enjoying a simple quantum group structure, which is in turn inherited from a twistor fiber over the celestial sphere. We show how four-dimensional momentum-space is emergent in this picture, which connects directly to the so-called kinematic algebra of the tree-level S-Matrix. On the other hand, the framework can be embedded within a celestial CFT to make contact with holographic symmetry algebras previously observed in the soft expansion. Kac-Moody currents play the role of a graviton to all orders in such expansion, and also lead to a natural notion of Goldstone modes for $w_{1+\infty}$. Focusing on MHV amplitudes, main examples are a BCFW type recursion relation and holomorphic three-point amplitudes.

12.647263

11.237257

12.224409

11.166559

11.103636

10.854734

10.984259

10.556604

10.535606

12.689246

10.384833

11.115316

11.827057

11.641248

11.1881

11.559864

11.526232

11.472046

11.367447

12.112504

11.379278

hep-th/0310230

Adil Belhaj Rogani

Adil Belhaj

On Geometric Engineering of N=1 ADE Quiver Models

10 pages, LaTex, Contribution to the Proceedings of the Workshop on Quantum Field Theory, Geometry and Non Perturbative Physics, Rabat, July 28th-29th, 2003

null

IFT-UAM/CSIC-03-43

hep-th

null

In this talk, we discuss four-dimensional N=1 affine $ADE$ quiver gauge models using the geometric engineering method in M-theory on $G_2$ manifolds with K3 fibrations.

[ { "created": "Fri, 24 Oct 2003 09:13:34 GMT", "version": "v1" } ]

2007-05-23

[ [ "Belhaj", "Adil", "" ] ]

In this talk, we discuss four-dimensional N=1 affine $ADE$ quiver gauge models using the geometric engineering method in M-theory on $G_2$ manifolds with K3 fibrations.

10.943311

7.93194

10.987236

7.916753

8.005713

8.135713

8.437726

8.080103

7.855585

12.13169

7.819476

8.358041

9.760726

8.180748

8.567551

8.569069

7.839161

8.491031

8.505248

8.990752

8.611656

hep-th/0112063

Vatche Sahakian

Strings in Ramond-Ramond backgrounds

24 pages; v2: citations added; v3: errorneous argument regarding quartic terms corrected; there are then additional terms at quartic order that will be presented in the next update to this manuscript; v4: This work has now been replaced with hep-th/0402037 which includes new results and comparison with recent literature

null

CLNS 01/1771

hep-th

null

We write the type IIB worldsheet action in classes of bosonic curved backgrounds threaded with Ramond-Ramond fluxes. The fixing of the kappa symmetry in the light-cone gauge and the use of the Bianchi identities of the supergravity theory lead to an expression of a relatively simple form, yet rich with new physical information about how fundamental strings react to the presence of RR fields. The results are useful in particular to the study of vacuum structure and dynamics in the context of the Holographic duality; and to possibly formulate an open-closed string duality at the level of the worldsheet.

[ { "created": "Sun, 9 Dec 2001 17:49:25 GMT", "version": "v1" }, { "created": "Sun, 30 Dec 2001 05:07:52 GMT", "version": "v2" }, { "created": "Wed, 11 Dec 2002 00:34:27 GMT", "version": "v3" }, { "created": "Wed, 4 Feb 2004 22:36:01 GMT", "version": "v4" } ]

2007-05-23

[ [ "Sahakian", "Vatche", "" ] ]

We write the type IIB worldsheet action in classes of bosonic curved backgrounds threaded with Ramond-Ramond fluxes. The fixing of the kappa symmetry in the light-cone gauge and the use of the Bianchi identities of the supergravity theory lead to an expression of a relatively simple form, yet rich with new physical information about how fundamental strings react to the presence of RR fields. The results are useful in particular to the study of vacuum structure and dynamics in the context of the Holographic duality; and to possibly formulate an open-closed string duality at the level of the worldsheet.

14.58836

10.807504

14.51878

11.953921

11.181284

11.862651

11.713927

10.947533

11.509181

15.721897

12.048507

12.50139

13.850776

12.746888

12.710008

12.469859

13.176579

12.756717

12.848934

14.001727

12.758695

1603.01290

Pramod Shukla

Reading off the non-geometric scalar potentials via topological data of the Calabi Yau manifolds

version 3: 46 pages; slight rewording in the title, improved overall presentation with lengthy eqns. shifted to two newly added appendices B and D, one more appendix A listing the symbols and notations added; to appear in PRD

Phys. Rev. D 94, 086003 (2016)

10.1103/PhysRevD.94.086003

null

hep-th

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

In the context of studying the 4D effective potentials of type IIB non-geometric flux compactifications, this article has a twofold goal. First, we present a modular invariant symplectic rearrangement of the tree level non-geometric scalar potential arising from a flux superpotential which includes the S-dual pairs of non-geometric fluxes $(Q, P)$, the standard NS-NS and RR three-form fluxes $(F_3, H_3)$ and the geometric flux ($\omega$). This `symplectic formulation' is valid for arbitrary numbers of K\"ahler moduli, and the complex structure moduli which are implicitly encoded in a set of symplectic matrices. In the second part, we further explicitly rewrite all the symplectic ingredients in terms of saxionic and axionic components of the complex structure moduli. The same leads to a compact form of the generic scalar potential being explicitly written out in terms of all the real moduli/axions. Moreover, the final form of the scalar potential needs only the knowledge of some topological data (such as hodge numbers and the triple intersection numbers) of the compactifying (CY) threefolds and their respective mirrors. Finally, we demonstrate how the same is equivalent to say that, for a given concrete example, various pieces of the scalar potential can be directly read off from our generic proposal, without the need of starting from the K\"ahler- and super-potentials.

[ { "created": "Thu, 3 Mar 2016 21:39:54 GMT", "version": "v1" }, { "created": "Tue, 12 Apr 2016 02:19:47 GMT", "version": "v2" }, { "created": "Wed, 31 Aug 2016 19:46:04 GMT", "version": "v3" } ]

2016-10-12

[ [ "Shukla", "Pramod", "" ] ]

In the context of studying the 4D effective potentials of type IIB non-geometric flux compactifications, this article has a twofold goal. First, we present a modular invariant symplectic rearrangement of the tree level non-geometric scalar potential arising from a flux superpotential which includes the S-dual pairs of non-geometric fluxes $(Q, P)$, the standard NS-NS and RR three-form fluxes $(F_3, H_3)$ and the geometric flux ($\omega$). This `symplectic formulation' is valid for arbitrary numbers of K\"ahler moduli, and the complex structure moduli which are implicitly encoded in a set of symplectic matrices. In the second part, we further explicitly rewrite all the symplectic ingredients in terms of saxionic and axionic components of the complex structure moduli. The same leads to a compact form of the generic scalar potential being explicitly written out in terms of all the real moduli/axions. Moreover, the final form of the scalar potential needs only the knowledge of some topological data (such as hodge numbers and the triple intersection numbers) of the compactifying (CY) threefolds and their respective mirrors. Finally, we demonstrate how the same is equivalent to say that, for a given concrete example, various pieces of the scalar potential can be directly read off from our generic proposal, without the need of starting from the K\"ahler- and super-potentials.

9.02101

8.924285

9.974208

8.521297

9.020976

8.90766

8.717143

9.198993

8.949426

11.23502

8.440097

8.435389

9.133016

8.612874

8.387924

8.637486

8.695219

8.571686

8.534595

9.193843

8.609236

hep-th/9808009

Modanese Giovanni

G. Modanese

Tunneling of a Massless Field through a 3D Gaussian Barrier

16 pages, LaTeX, 3 PostScript figures; improved presentation, to appear in J. Math. Phys

J.Math.Phys. 40 (1999) 3300-3310

10.1063/1.532888

ECT*-98-12

hep-th gr-qc

null

We propose a method for the approximate computation of the Green function of a scalar massless field Phi subjected to potential barriers of given size and shape in spacetime. This technique is applied to the case of a 3D gaussian ellipsoid-like barrier, placed on the axis between two pointlike sources of the field. Instead of the Green function we compute its temporal integral, that gives the static potential energy of the interaction of the two sources. Such interaction takes place in part by tunneling of the quanta of Phi across the barrier. We evaluate numerically the correction to the potential in dependence on the size of the barrier and on the barrier-sources distance.

[ { "created": "Mon, 3 Aug 1998 08:46:22 GMT", "version": "v1" }, { "created": "Mon, 7 Dec 1998 16:19:54 GMT", "version": "v2" } ]

2015-06-26

[ [ "Modanese", "G.", "" ] ]

We propose a method for the approximate computation of the Green function of a scalar massless field Phi subjected to potential barriers of given size and shape in spacetime. This technique is applied to the case of a 3D gaussian ellipsoid-like barrier, placed on the axis between two pointlike sources of the field. Instead of the Green function we compute its temporal integral, that gives the static potential energy of the interaction of the two sources. Such interaction takes place in part by tunneling of the quanta of Phi across the barrier. We evaluate numerically the correction to the potential in dependence on the size of the barrier and on the barrier-sources distance.

12.342975

14.83585

12.746432

12.780252

14.101

13.473148

13.358776

12.644057

13.011188

13.816055

13.06883

12.294638

12.405553

12.19816

12.509177

12.277083

12.189604

12.023312

12.148946

12.310368

11.750268

1510.05993

Howard Schnitzer

Howard J. Schnitzer

R\'enyi Entropy for the $\sun1$ WZW model on the torus

v4. Typos corrected, remark added

null

BRX-TH-6295

hep-th cond-mat.stat-mech

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

The $\sun1$ WZW model is constructed on a n-sheeted branched torus, which allows the investigation of the R\'enyi entropy for a single interval at finite temperature. The small and large interval limits, as well as the low temperature expansion are presented for this theory.

[ { "created": "Tue, 20 Oct 2015 18:10:46 GMT", "version": "v1" }, { "created": "Thu, 5 Nov 2015 19:09:08 GMT", "version": "v2" }, { "created": "Tue, 12 Jan 2016 20:35:10 GMT", "version": "v3" }, { "created": "Mon, 2 May 2016 20:00:16 GMT", "version": "v4" } ]

2016-05-04

[ [ "Schnitzer", "Howard J.", "" ] ]

The $\sun1$ WZW model is constructed on a n-sheeted branched torus, which allows the investigation of the R\'enyi entropy for a single interval at finite temperature. The small and large interval limits, as well as the low temperature expansion are presented for this theory.

19.710482

12.940443

19.622671

15.339063

14.981015

12.977406

14.166924

14.072906

14.48183

20.438444

13.932692

13.358704

17.016829

14.676641

14.69921

14.775612

14.449541

15.136314

15.554132

17.222689

14.357844

1202.5978

Dionisio Bazeia

D. Bazeia, J. D. Dantas

On the presence of twinlike models in cosmology

4 pages, 2 figures; To appear in PRD

Phys. Rev. D 85, 067303 (2012)

10.1103/PhysRevD.85.067303

null

hep-th gr-qc hep-ph

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

We study cosmological models described by a single real scalar field. We work within the first-order framework, and we show how the first-order equations simplify the investigation, leading to a direct search of twinlike theories. The procedure is used to introduce distinct models that support the same first-order equations, with the very same energy densities and pressure in flat spacetime. The presence of curvature forbids the construction of twinlike models in the cosmological scenario here investigated.

[ { "created": "Mon, 27 Feb 2012 15:45:12 GMT", "version": "v1" } ]

2012-03-22

[ [ "Bazeia", "D.", "" ], [ "Dantas", "J. D.", "" ] ]

We study cosmological models described by a single real scalar field. We work within the first-order framework, and we show how the first-order equations simplify the investigation, leading to a direct search of twinlike theories. The procedure is used to introduce distinct models that support the same first-order equations, with the very same energy densities and pressure in flat spacetime. The presence of curvature forbids the construction of twinlike models in the cosmological scenario here investigated.

21.311569

14.955767

19.919531

17.039963

16.727667

15.4299

15.223972

15.212971

17.288576

21.64094

15.858796

18.038

19.850456

18.791935

18.430597

17.691061

18.521006

18.294218

19.121584

18.808971

18.645691

2303.17909

Jen-Chi Lee

Sheng-Hong Lai, Jen-Chi Lee and Yi Yang

Stringy scaling of n-point Regge string scattering amplitudes

33 pages, 1 figure

null

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

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

We discover a stringy scaling behavior for a class of n-point Regge string scattering amplitudes (RSSA). The number of independent kinematics variables is found to be reduced by dim M.

[ { "created": "Fri, 31 Mar 2023 09:15:51 GMT", "version": "v1" } ]

2023-04-03

[ [ "Lai", "Sheng-Hong", "" ], [ "Lee", "Jen-Chi", "" ], [ "Yang", "Yi", "" ] ]

We discover a stringy scaling behavior for a class of n-point Regge string scattering amplitudes (RSSA). The number of independent kinematics variables is found to be reduced by dim M.

34.200535

19.917971

27.789068

18.501715

18.314493

21.034216

22.65419

18.285347

20.857458

25.30607

20.174772

21.424347

24.503643

21.651838

23.211433

21.293667

22.476395

23.020569

23.098907

23.501528

22.211609

hep-th/9410229

Joao Carlos Alves Barata

Joao C A Barata and Florian Nill (Freie Univ. Berlin)

Electrically and Magnetically Charged States and Particles in the 2+1-Dimensional Z_N-Higgs Gauge Model

57 pages, Sfb 288 Preprint No. 109. To appear in Commun. Math. Phys. About the file: This is a uuencoded, "gzip-ed" postscript file. It is about 300kB large. The original ps file is about 700kB large. All figures are included. The LaTeX sources ou even hard copies can be required to the authors at barata@omega.physik.fu-berlin.de or Freie Universitaet Berlin. Institut fuer Theoretische Physik. Arnimallee 14. Berlin 14195 Germany

Commun.Math.Phys. 171 (1995) 27-86

10.1007/BF02103770

null

hep-th

null

Electrically as well as magnetically charged states are constructed in the 2+1-dimensional Euclidean Z_N-Higgs lattice gauge model, the former following ideas of Fredenhagen and Marcu and the latter using duality transformations on the algebra of observables. The existence of electrically and of magnetically charged particles is also established. With this work we prepare the ground for the constructive study of anyonic statistics of multiparticle scattering states of electrically and magnetically charged particles in this model (work in progress).

[ { "created": "Sat, 29 Oct 1994 19:13:07 GMT", "version": "v1" } ]

2015-06-26

[ [ "Barata", "Joao C A", "", "Freie Univ. Berlin" ], [ "Nill", "Florian", "", "Freie Univ. Berlin" ] ]

Electrically as well as magnetically charged states are constructed in the 2+1-dimensional Euclidean Z_N-Higgs lattice gauge model, the former following ideas of Fredenhagen and Marcu and the latter using duality transformations on the algebra of observables. The existence of electrically and of magnetically charged particles is also established. With this work we prepare the ground for the constructive study of anyonic statistics of multiparticle scattering states of electrically and magnetically charged particles in this model (work in progress).

12.538785

11.646924

13.263038

10.830068

11.605191

11.052117

11.779277

11.662791

10.798888

13.246655

10.550148

10.892118

11.587143

11.129829

10.810718

10.49072

10.755008

10.476933

10.982315

12.102777

11.106638

2203.09399

Burkhard Eden

B. Eden and T. Scherdin

Tilings and Twist at 1/N^4

LaTeX, 27 pages, 7 figures

null

HU-EP-22/12

hep-th

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

We re-consider operator mixing in the so-called $SU(2)$ sector of ${\cal N} \, = \, 4$ super Yang-Mills theory with gauge group $SU(N)$. Where possible, single-trace operators of moderate length are completed by higher-trace admixtures so as to yield large $N$ tree level eigenstates. We are particularly interested in parity pairs with three excitations. Since parity is respected in the mixing, the odd single-trace operators at low length cannot receive too many admixtures. We reproduce the tree-level norms of a set of large $N$ eigenstates up to order $1/N^4$ by integrability methods. This involves evaluating two-point functions on the sphere, the torus, and the double-torus. A perfect match is found as long as descendents are absent from the mixing. Using twist to make the descendents appear in the integrability picture immediately leads to the question how to modify the entangled states occurring in the hexagon tessellations. We take a closer look at the double-trace admixtures to the parity even three-excitation operator at length seven, which are both products of a primary state and a descendent. Their two-point functions are sensitive to the twist introduced into the Bethe equations. For transverse scalar excitations we succeed in recovering the corresponding field theory results. For longitudinal magnons our methods fail, pointing at a potential weakness of the formalism.

[ { "created": "Thu, 17 Mar 2022 15:50:32 GMT", "version": "v1" } ]

2022-03-18

[ [ "Eden", "B.", "" ], [ "Scherdin", "T.", "" ] ]

We re-consider operator mixing in the so-called $SU(2)$ sector of ${\cal N} \, = \, 4$ super Yang-Mills theory with gauge group $SU(N)$. Where possible, single-trace operators of moderate length are completed by higher-trace admixtures so as to yield large $N$ tree level eigenstates. We are particularly interested in parity pairs with three excitations. Since parity is respected in the mixing, the odd single-trace operators at low length cannot receive too many admixtures. We reproduce the tree-level norms of a set of large $N$ eigenstates up to order $1/N^4$ by integrability methods. This involves evaluating two-point functions on the sphere, the torus, and the double-torus. A perfect match is found as long as descendents are absent from the mixing. Using twist to make the descendents appear in the integrability picture immediately leads to the question how to modify the entangled states occurring in the hexagon tessellations. We take a closer look at the double-trace admixtures to the parity even three-excitation operator at length seven, which are both products of a primary state and a descendent. Their two-point functions are sensitive to the twist introduced into the Bethe equations. For transverse scalar excitations we succeed in recovering the corresponding field theory results. For longitudinal magnons our methods fail, pointing at a potential weakness of the formalism.

15.683295

14.628504

17.750387

15.301788

15.744415

16.148848

15.708757

15.033778

13.930241

18.580374

14.091761

14.551909

15.715988

14.825348

14.698998

14.253639

14.790799

14.50533

14.791729

16.186626

14.186263

hep-th/9509134

Jim McCarthy

Chiral ring in the 4D W_3 string

13 pages

null

ADP-95-21/M30

hep-th

null

I summarize some recent results obtained in collaboration with P.~Bouwknegt and K.~Pilch on the spectrum of physical states in $\cW_3$ gravity coupled to $c=2$ matter. In particular, it is shown that the algebra of operators corresponding to physical states -- defined as a semi-infinite (or BRST) cohomology of the $\cW_3$ algebra -- carries the structure of a G-algebra. This G-algebra has a quotient which is isomorphic to the G-algebra of polyvector fields on the base affine space of $SL(3,\CC)$. Details have appeared elsewhere. To appear (with title change) in the proceedings of the ``H.S. Green and A. Hurst Festschrift: Confronting the Infinite'' Adelaide, March 1994.

[ { "created": "Mon, 25 Sep 1995 01:02:13 GMT", "version": "v1" } ]

2007-05-23

[ [ "McCarthy", "Jim", "" ] ]

I summarize some recent results obtained in collaboration with P.~Bouwknegt and K.~Pilch on the spectrum of physical states in $\cW_3$ gravity coupled to $c=2$ matter. In particular, it is shown that the algebra of operators corresponding to physical states -- defined as a semi-infinite (or BRST) cohomology of the $\cW_3$ algebra -- carries the structure of a G-algebra. This G-algebra has a quotient which is isomorphic to the G-algebra of polyvector fields on the base affine space of $SL(3,\CC)$. Details have appeared elsewhere. To appear (with title change) in the proceedings of the ``H.S. Green and A. Hurst Festschrift: Confronting the Infinite'' Adelaide, March 1994.

9.120252

9.761172

12.048024

9.104896

10.252288

9.890137

10.248461

9.483359

8.559131

12.392312

8.611213

8.186649

9.463403

8.93781

9.005622

8.333588

8.592102

8.569042

8.670243

9.457524

8.258963

0707.4562

Jean Nuyts

Fernand Grard, Jean Nuyts

Warped Kaluza-Klein Towers Revisited

34 pages, 5 figures

Phys.Rev.D76:124022,2007

10.1103/PhysRevD.76.124022

null

hep-th

null

Inspired by the warped Randall Sundrum scenario proposed to solve the mass scale hierarchy problem with a compactified fifth extra dimension, a similar model with no metric singularities has been elaborated. In this framework, the Kaluza-Klein reduction equations for a real massless scalar field propagating in the bulk have been studied carefully from the point of view of hermiticity so as to formulate in a mathematically rigorous way all the possible boundary conditions and corresponding mass eigenvalue towers and tachyon states. The physical masses as observable in our four-dimensional brane are deduced from these mass eigenvalues depending on the location of the brane on the extra dimension axis. Examples of mass towers and tachyons and related field probability densities are presented from numerical computations performed for some arbitrary choices of the parameters of the model.

[ { "created": "Tue, 31 Jul 2007 09:08:35 GMT", "version": "v1" } ]

2008-11-26

[ [ "Grard", "Fernand", "" ], [ "Nuyts", "Jean", "" ] ]

Inspired by the warped Randall Sundrum scenario proposed to solve the mass scale hierarchy problem with a compactified fifth extra dimension, a similar model with no metric singularities has been elaborated. In this framework, the Kaluza-Klein reduction equations for a real massless scalar field propagating in the bulk have been studied carefully from the point of view of hermiticity so as to formulate in a mathematically rigorous way all the possible boundary conditions and corresponding mass eigenvalue towers and tachyon states. The physical masses as observable in our four-dimensional brane are deduced from these mass eigenvalues depending on the location of the brane on the extra dimension axis. Examples of mass towers and tachyons and related field probability densities are presented from numerical computations performed for some arbitrary choices of the parameters of the model.

14.841273

12.548604

12.63455

12.022593

13.766964

12.614309

12.854563

11.88864

11.873834

13.218469

12.308477

12.413754

12.974537

12.643195

12.988372

12.698876

12.711387

12.880175

12.736338

12.988747

12.869954

0712.2441

Pisin Chen

Pisin Chen and Je-An Gu

Cosmological Constant as a Manifestation of the Hierarchy

null

hep-th astro-ph

null

There has been the suggestion that the cosmological constant as implied by the dark energy is related to the well-known hierarchy between the Planck scale, $M_{\rm Pl}$, and the Standard Model scale, $M_{\rm SM}$. Here we further propose that the same framework that addresses this hierarchy problem must also address the smallness problem of the cosmological constant. Specifically, we investigate the minimal supersymmetric (SUSY) extension of the Randall-Sundrum model where SUSY-breaking is induced on the TeV brane and transmitted into the bulk. We show that the Casimir energy density of the system indeed conforms with the observed dark energy scale.

[ { "created": "Fri, 14 Dec 2007 20:03:10 GMT", "version": "v1" }, { "created": "Mon, 17 Dec 2007 20:47:10 GMT", "version": "v2" }, { "created": "Thu, 20 Dec 2007 17:58:12 GMT", "version": "v3" } ]

2007-12-20

[ [ "Chen", "Pisin", "" ], [ "Gu", "Je-An", "" ] ]

There has been the suggestion that the cosmological constant as implied by the dark energy is related to the well-known hierarchy between the Planck scale, $M_{\rm Pl}$, and the Standard Model scale, $M_{\rm SM}$. Here we further propose that the same framework that addresses this hierarchy problem must also address the smallness problem of the cosmological constant. Specifically, we investigate the minimal supersymmetric (SUSY) extension of the Randall-Sundrum model where SUSY-breaking is induced on the TeV brane and transmitted into the bulk. We show that the Casimir energy density of the system indeed conforms with the observed dark energy scale.

7.268676

7.320247

6.607838

6.256701

6.854549

6.830355

6.818367

6.407215

6.529458

6.717964

6.385229

6.343585

6.506538

6.441883

6.542112

6.330283

6.558883

6.668527

6.439194

6.549106

6.565359

1101.1971

Christopher Pope

H. Lu and C.N. Pope

Critical Gravity in Four Dimensions

10 pages; New results on positivity of energy of logarithmic modes added, typos corrected, and clarifications made

Phys.Rev.Lett.106:181302,2011

10.1103/PhysRevLett.106.181302

MIFPA-11-02

hep-th gr-qc

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

We study four-dimensional gravity theories that are rendered renormalisable by the inclusion of curvature-squared terms to the usual Einstein action with cosmological constant. By choosing the parameters appropriately, the massive scalar mode can be eliminated and the massive spin-2 mode can become massless. This "critical" theory may be viewed as a four-dimensional analogue of chiral topologically massive gravity, or of critical "New Massive Gravity" with a cosmological constant, in three dimensions. We find that the on-shell energy for the remaining massless gravitons vanishes. There are also logarithmic spin-2 modes, which have positive energy. The mass and entropy of standard Schwarzschild type black holes vanish. The critical theory might provide a consistent toy model for quantum gravity in four dimensions.

[ { "created": "Mon, 10 Jan 2011 21:14:11 GMT", "version": "v1" }, { "created": "Fri, 14 Jan 2011 17:09:59 GMT", "version": "v2" }, { "created": "Thu, 10 Mar 2011 01:05:04 GMT", "version": "v3" } ]

2011-05-23

[ [ "Lu", "H.", "" ], [ "Pope", "C. N.", "" ] ]

We study four-dimensional gravity theories that are rendered renormalisable by the inclusion of curvature-squared terms to the usual Einstein action with cosmological constant. By choosing the parameters appropriately, the massive scalar mode can be eliminated and the massive spin-2 mode can become massless. This "critical" theory may be viewed as a four-dimensional analogue of chiral topologically massive gravity, or of critical "New Massive Gravity" with a cosmological constant, in three dimensions. We find that the on-shell energy for the remaining massless gravitons vanishes. There are also logarithmic spin-2 modes, which have positive energy. The mass and entropy of standard Schwarzschild type black holes vanish. The critical theory might provide a consistent toy model for quantum gravity in four dimensions.

8.36245

8.523512

9.761971

8.316231

8.601658

8.626536

8.551139

8.119164

8.142694

9.469515

7.797097

8.379895

8.426906

8.001513

8.146608

8.122964

8.062989

8.33152

8.290427

8.476638

8.038459

1904.12827

Jun-Ichi Sakamoto

Jun-ichi Sakamoto

Integrable deformations of string sigma models and generalized supergravity

Ph.D. Thesis, 227 pages

null

hep-th math-ph math.MP

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

This thesis is mainly devoted to studying integrable deformations of the ${\rm AdS}_5 \times {\rm S}^5$ superstring and generalized supergravity. We start to give a brief review of the ${\rm AdS}_5 \times {\rm S}^5$ superstring formulated in the Green-Schwartz formalism, and then introduce homogeneous Yang-Baxter (YB) deformation of the ${\rm AdS}_5 \times {\rm S}^5$ superstring based on $r$-matrices which are solutions to the homogeneous classical YB equation. By performing a supercoset construction, we derive the general formula for homogeneous YB deformed backgrounds associated with bosonic $r$-matrices. The deformed backgrounds are shown to be solutions of the standard type IIB supergravity or generalized supergravity. Next, we explain that homogeneous YB deformation can be regarded as a kind of the $O(d,d)$ duality transformations. Once YB deformations are realized as duality transformations, the corresponding $O(d,d)$ transformations are applied to almost all backgrounds. Moreover, we discuss spacetime structures of homogeneous YB deformed backgrounds and clarify a T-fold structure of them by showing the associated $O(d,d; \mathbb{Z})$ $T$-duality monodromy. Finally, we consider the Weyl invariance of string theories in generalized supergravity backgrounds. We show that generalized supergravity can be reproduced from double field theory with the dilaton depending on a linear dual coordinate. From this result, we construct a possible counterterm to cancel out the Weyl anomaly of bosonic string theories on generalized supergravity backgrounds. In particular, we show that the counterterm is definitely local. In this sense, string theories can be consistently defined in generalized supergravity backgrounds.

[ { "created": "Mon, 29 Apr 2019 17:19:53 GMT", "version": "v1" } ]

2019-04-30

[ [ "Sakamoto", "Jun-ichi", "" ] ]

This thesis is mainly devoted to studying integrable deformations of the ${\rm AdS}_5 \times {\rm S}^5$ superstring and generalized supergravity. We start to give a brief review of the ${\rm AdS}_5 \times {\rm S}^5$ superstring formulated in the Green-Schwartz formalism, and then introduce homogeneous Yang-Baxter (YB) deformation of the ${\rm AdS}_5 \times {\rm S}^5$ superstring based on $r$-matrices which are solutions to the homogeneous classical YB equation. By performing a supercoset construction, we derive the general formula for homogeneous YB deformed backgrounds associated with bosonic $r$-matrices. The deformed backgrounds are shown to be solutions of the standard type IIB supergravity or generalized supergravity. Next, we explain that homogeneous YB deformation can be regarded as a kind of the $O(d,d)$ duality transformations. Once YB deformations are realized as duality transformations, the corresponding $O(d,d)$ transformations are applied to almost all backgrounds. Moreover, we discuss spacetime structures of homogeneous YB deformed backgrounds and clarify a T-fold structure of them by showing the associated $O(d,d; \mathbb{Z})$ $T$-duality monodromy. Finally, we consider the Weyl invariance of string theories in generalized supergravity backgrounds. We show that generalized supergravity can be reproduced from double field theory with the dilaton depending on a linear dual coordinate. From this result, we construct a possible counterterm to cancel out the Weyl anomaly of bosonic string theories on generalized supergravity backgrounds. In particular, we show that the counterterm is definitely local. In this sense, string theories can be consistently defined in generalized supergravity backgrounds.

5.376715

5.289709

6.185908

5.13285

5.616765

5.357139

5.424908

5.234891

5.505062

6.303641

5.348287

5.609527

5.526742

5.404032

5.582145

5.521836

5.456635

5.298094

5.367312

5.485278

5.414502

hep-th/0608023

Jan Govaerts

Jan Govaerts and Florian Payen (CP3, UCL, Louvain-la-Neuve, Belgium)

Topological Background Fields as Quantum Degrees of Freedom of Compactified Strings

1+10 pages, no figures

Mod.Phys.Lett.A22:119-130,2007

10.1142/S0217732307022335

CP3-06-07, ICMPA-PMA/2006/34

hep-th

null

It is shown that background fields of a topological character usually introduced as such in compactified string theories correspond to quantum degrees of freedom which parametrise the freedom in choosing a representation of the zero mode quantum algebra in the presence of non-trivial topology. One consequence would appear to be that the values of such quantum degrees of freedom, in other words of the associated topological background fields, cannot be determined by the nonperturbative string dynamics.

[ { "created": "Thu, 3 Aug 2006 07:45:48 GMT", "version": "v1" } ]

2008-11-26

[ [ "Govaerts", "Jan", "", "CP3, UCL, Louvain-la-Neuve, Belgium" ], [ "Payen", "Florian", "", "CP3, UCL, Louvain-la-Neuve, Belgium" ] ]

It is shown that background fields of a topological character usually introduced as such in compactified string theories correspond to quantum degrees of freedom which parametrise the freedom in choosing a representation of the zero mode quantum algebra in the presence of non-trivial topology. One consequence would appear to be that the values of such quantum degrees of freedom, in other words of the associated topological background fields, cannot be determined by the nonperturbative string dynamics.

14.379584

12.799258

14.705256

12.19663

14.976962

14.390095

12.593967

13.187827

13.02372

14.731999

12.103533

12.940604

13.913545

12.917233

13.100963

13.532461

12.856411

13.208627

13.018429

14.365955

12.865282

2201.01679

Davide De Biasio

Davide De Biasio and Dieter Lust

Geometric Flow of Bubbles

51 pages, 10 figures

null

10.1016/j.nuclphysb.2022.115812

null

hep-th

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

In this work we derive a class of geometric flow equations for metric-scalar systems. Thereafter, we construct them from some general string frame action by performing volume-preserving fields variations and writing down the associated gradient flow equations. Then, we consider some specific realisations of the above procedure, applying the flow equations to non-trivial scalar bubble and metric bubble solutions, studying the subsequent flow behaviour.

[ { "created": "Wed, 5 Jan 2022 16:18:55 GMT", "version": "v1" } ]

2022-05-18

[ [ "De Biasio", "Davide", "" ], [ "Lust", "Dieter", "" ] ]

In this work we derive a class of geometric flow equations for metric-scalar systems. Thereafter, we construct them from some general string frame action by performing volume-preserving fields variations and writing down the associated gradient flow equations. Then, we consider some specific realisations of the above procedure, applying the flow equations to non-trivial scalar bubble and metric bubble solutions, studying the subsequent flow behaviour.

28.084997

22.774963

28.371939

22.99004

25.843098

27.313145

24.265507

25.993168

24.040123

30.152567

25.241505

24.103518

25.108921

24.971954

23.243643

23.97114

25.005247

25.049952

24.446806

25.7416

23.925901

0911.2727

Alfio Bonanno

Astrophysical implications of the Asymptotic Safety Scenario in Quantum Gravity

28 pages, 6 figures. Invited talk at Workshop on Continuum and Lattice Approaches to Quantum Gravity. Sept. 2008, Brighton UK. To appear in the Proceedings

PoS CLAQG08:008,2011

null

hep-th astro-ph.CO gr-qc

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

In recent years it has emerged that the high energy behavior of gravity could be governed by an ultraviolet non-Gaussian fixed point of the (dimensionless) Newton's constant, whose behavior at high energy is thus {\it antiscreened}. This phenomenon has several astrophysical implications. In particular in this article recent works on renormalization group improved cosmologies based upon a renormalization group trajectory of Quantum Einstein Gravity with realistic parameter values will be reviewed. It will be argued that quantum effects can account for the entire entropy of the present Universe in the massless sector and give rise to a phase of inflationary expansion. Moreover the prediction for the final state of the black hole evaporation is a Planck size remnant which is formed in an infinite time.

[ { "created": "Fri, 13 Nov 2009 23:22:00 GMT", "version": "v1" } ]

2011-08-17

[ [ "Bonanno", "Alfio", "" ] ]

In recent years it has emerged that the high energy behavior of gravity could be governed by an ultraviolet non-Gaussian fixed point of the (dimensionless) Newton's constant, whose behavior at high energy is thus {\it antiscreened}. This phenomenon has several astrophysical implications. In particular in this article recent works on renormalization group improved cosmologies based upon a renormalization group trajectory of Quantum Einstein Gravity with realistic parameter values will be reviewed. It will be argued that quantum effects can account for the entire entropy of the present Universe in the massless sector and give rise to a phase of inflationary expansion. Moreover the prediction for the final state of the black hole evaporation is a Planck size remnant which is formed in an infinite time.

12.551476

14.246358

11.918795

12.166449

12.530185

12.065289

11.47224

12.460055

12.041063

13.15359

11.778825

11.920533

11.863236

11.544093

11.481544

11.765785

11.75536

11.361781

11.818395

11.887257

11.787163

hep-th/9801152

Hyung Won Lee

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

Stability analysis and absorption cross-section in three-dimensional black string

ReVTeX, 18 pages with no figures, minor typhographical corrections and revised references

Phys. Rev. D 57, 7361 (1998)

10.1103/PhysRevD.57.7361

INJE-TP-98-1

hep-th

null

It is shown that all string fields except dilaton are non-propagating in the (2+1)-dimensional black string. One finds that the perturbation around the black string reveals a mixing between the dilaton and other fields. Under the new gauge(dilaton gauge), we disentangle this mixing and obtain one decoupled dilaton equation. It turns out that this black string is stable. From the scattering of dilaton off the neutral black string(N=0), we find the absorption cross-section. Further the absorption cross-section for minimally coupled scalar is obtained and we compared it with that of dilaton.

[ { "created": "Fri, 23 Jan 1998 07:03:13 GMT", "version": "v1" }, { "created": "Fri, 30 Jan 1998 01:59:13 GMT", "version": "v2" } ]

2016-08-25

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

It is shown that all string fields except dilaton are non-propagating in the (2+1)-dimensional black string. One finds that the perturbation around the black string reveals a mixing between the dilaton and other fields. Under the new gauge(dilaton gauge), we disentangle this mixing and obtain one decoupled dilaton equation. It turns out that this black string is stable. From the scattering of dilaton off the neutral black string(N=0), we find the absorption cross-section. Further the absorption cross-section for minimally coupled scalar is obtained and we compared it with that of dilaton.

11.368046

9.435219

11.090917

10.435064

10.443962

10.279639

10.018096

9.030339

10.510896

12.721552

9.865799

10.637129

10.815886

10.831486

10.777599

10.604991

10.656362

10.919826

10.889088

11.540981

10.807254

0906.0264

Umpei Miyamoto

Gary W. Gibbons, Kei-ichi Maeda, Umpei Miyamoto

The Bernstein Conjecture, Minimal Cones, and Critical Dimensions

19 pages, no figure; v2: comments added in footnote 1 and 2

Class.Quant.Grav.26:185008,2009

10.1088/0264-9381/26/18/185008

DAMTP-2009-43, WU-AP/300/09

hep-th gr-qc

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

Minimal surfaces and domain walls play important roles in various contexts of spacetime physics as well as material science. In this paper, we first review the Bernstein conjecture, which asserts that a plane is the only globally well defined solution of the minimal surface equation which is a single valued graph over a hyperplane in flat spaces, and its failure in higher dimensions. Then, we review how minimal cones in four- and higher-dimensional spacetimes, which are curved and even singular at the apex, may be used to provide counterexamples to the conjecture. The physical implications of these counterexamples in curved spacetimes are discussed from various points of view, ranging from classical general relativity, brane physics, and holographic models of fundamental interactions.

[ { "created": "Mon, 1 Jun 2009 12:09:14 GMT", "version": "v1" }, { "created": "Sun, 2 Aug 2009 22:08:00 GMT", "version": "v2" } ]

2009-09-28

[ [ "Gibbons", "Gary W.", "" ], [ "Maeda", "Kei-ichi", "" ], [ "Miyamoto", "Umpei", "" ] ]

Minimal surfaces and domain walls play important roles in various contexts of spacetime physics as well as material science. In this paper, we first review the Bernstein conjecture, which asserts that a plane is the only globally well defined solution of the minimal surface equation which is a single valued graph over a hyperplane in flat spaces, and its failure in higher dimensions. Then, we review how minimal cones in four- and higher-dimensional spacetimes, which are curved and even singular at the apex, may be used to provide counterexamples to the conjecture. The physical implications of these counterexamples in curved spacetimes are discussed from various points of view, ranging from classical general relativity, brane physics, and holographic models of fundamental interactions.

10.713239

10.457904

11.135283

9.916977

10.246066

10.932076

11.574102

9.880999

10.318876

11.091334

9.808507

9.847869

10.133359

9.654323

9.79565

9.82095

9.668161

9.622331

10.064825

9.838092

9.677135

hep-th/0007117

John Schwarz

John H. Schwarz

Reminiscences of Collaborations with Joel Scherk

11 pages; Presented at Conference anniversaire du LPT-ENS

null

CALT-68-2289, CITUSC/00-042

hep-th

null

I had the privilege of collaborating with Joel Scherk on three separate occasions: in 1970 at Princeton, in 1974 at Caltech, and in 1978-79 at the Ecole Normale Superieure. In this talk I give some reminiscences of these collaborations.

[ { "created": "Fri, 14 Jul 2000 21:44:34 GMT", "version": "v1" } ]

2007-05-23

[ [ "Schwarz", "John H.", "" ] ]

I had the privilege of collaborating with Joel Scherk on three separate occasions: in 1970 at Princeton, in 1974 at Caltech, and in 1978-79 at the Ecole Normale Superieure. In this talk I give some reminiscences of these collaborations.

7.924696

4.334226

4.900504

4.270245

3.957219

4.300703

4.433669

4.496638

3.784895

5.220005

4.148748

4.467166

4.515273

4.497284

4.331747

4.465457

4.493714

4.426268

4.547192

4.536689

5.05922

hep-th/9110060

null

J.A. Casas, F. Gomez and C. Mu\~noz

Complete structure of Z_n Yukawa couplings

60 pages

Int. J. Mod. Phys. A8 (1993) 455-506

10.1142/S0217751X93000187

null

hep-th

null

We give the complete twisted Yukawa couplings for all the Z_n orbifold constructions in the most general case, i.e. when orbifold deformations are considered. This includes a certain number of tasks. Namely, determination of the allowed couplings, calculation of the explicit dependence of the Yukawa couplings values on the moduli expectation values (i.e. the parameters determining the size and shape of the compactified space), etc. The final expressions are completely explicit, which allows a counting of the DIFFERENT Yukawa couplings for each orbifold (with and without deformations). This knowledge is crucial to determine the phenomenological viability of the different schemes, since it is directly related to the fermion mass hierarchy. Other facts concerning the phenomenological profile of Z_n orbifolds are also discussed, e.g. the existence of non--diagonal entries in the fermion mass matrices, which is related to a non--trivial structure of the Kobayashi--Maskawa matrix. Finally some theoretical results are given, e.g. the no--participation of (1,2) moduli in twisted Yukawa couplings. Likewise, (1,1) moduli associated with fixed tori which are involved in the Yukawa coupling, do not affect the value of the coupling.

[ { "created": "Mon, 21 Oct 1991 13:05:12 GMT", "version": "v1" } ]

2015-06-26

[ [ "Casas", "J. A.", "" ], [ "Gomez", "F.", "" ], [ "Muñoz", "C.", "" ] ]

We give the complete twisted Yukawa couplings for all the Z_n orbifold constructions in the most general case, i.e. when orbifold deformations are considered. This includes a certain number of tasks. Namely, determination of the allowed couplings, calculation of the explicit dependence of the Yukawa couplings values on the moduli expectation values (i.e. the parameters determining the size and shape of the compactified space), etc. The final expressions are completely explicit, which allows a counting of the DIFFERENT Yukawa couplings for each orbifold (with and without deformations). This knowledge is crucial to determine the phenomenological viability of the different schemes, since it is directly related to the fermion mass hierarchy. Other facts concerning the phenomenological profile of Z_n orbifolds are also discussed, e.g. the existence of non--diagonal entries in the fermion mass matrices, which is related to a non--trivial structure of the Kobayashi--Maskawa matrix. Finally some theoretical results are given, e.g. the no--participation of (1,2) moduli in twisted Yukawa couplings. Likewise, (1,1) moduli associated with fixed tori which are involved in the Yukawa coupling, do not affect the value of the coupling.

9.482801

9.265525

9.711205

9.168883

9.79263

10.123458

9.662317

10.047137

9.421504

10.050579

9.418938

9.268269

9.37304

9.137515

9.464314

9.240627

9.165809

9.327508

9.158818

9.356476

9.213548

1312.6763

Jorgen Rasmussen

Paul A. Pearce, Jorgen Rasmussen, Elena Tartaglia

Logarithmic Superconformal Minimal Models

55 pages, v2: comments and references added

null

10.1088/1742-5468/2014/05/P05001

null

hep-th

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

The higher fusion level logarithmic minimal models LM(P,P';n) have recently been constructed as the diagonal GKO cosets (A_1^{(1)})_k oplus (A_1^{(1)})_n / (A_1^{(1)})_{k+n} where n>0 is an integer fusion level and k=nP/(P'-P)-2 is a fractional level. For n=1, these are the logarithmic minimal models LM(P,P'). For n>1, we argue that these critical theories are realized on the lattice by n x n fusion of the n=1 models. For n=2, we call them logarithmic superconformal minimal models LSM(p,p') where P=|2p-p'|, P'=p' and p,p' are coprime, and they share the central charges of the rational superconformal minimal models SM(P,P'). Their mathematical description entails the fused planar Temperley-Lieb algebra which is a spin-1 BMW tangle algebra with loop fugacity beta_2=x^2+1+x^{-2} and twist omega=x^4 where x=e^{i(p'-p)pi/p'}. Examples are superconformal dense polymers LSM(2,3) with c=-5/2, beta_2=0 and superconformal percolation LSM(3,4) with c=0, beta_2=1. We calculate the free energies analytically. By numerically studying finite-size spectra on the strip with appropriate boundary conditions in Neveu-Schwarz and Ramond sectors, we argue that, in the continuum scaling limit, these lattice models are associated with the logarithmic superconformal models LM(P,P';2). For system size N, we propose finitized Kac character formulas whose P,P' dependence only enters in the fractional power of q in a prefactor. These characters involve Motzkin and Riordan polynomials defined in terms of q-trinomial coefficients. Using the Hamiltonian limit, we argue that there exist reducible yet indecomposable representations for which the Virasoro dilatation operator L_0 exhibits rank-2 Jordan blocks confirming that these theories are indeed logarithmic. We relate these results to the N=1 superconformal representation theory.

[ { "created": "Tue, 24 Dec 2013 05:51:20 GMT", "version": "v1" }, { "created": "Wed, 2 Apr 2014 07:27:49 GMT", "version": "v2" } ]

2015-06-18

[ [ "Pearce", "Paul A.", "" ], [ "Rasmussen", "Jorgen", "" ], [ "Tartaglia", "Elena", "" ] ]

The higher fusion level logarithmic minimal models LM(P,P';n) have recently been constructed as the diagonal GKO cosets (A_1^{(1)})_k oplus (A_1^{(1)})_n / (A_1^{(1)})_{k+n} where n>0 is an integer fusion level and k=nP/(P'-P)-2 is a fractional level. For n=1, these are the logarithmic minimal models LM(P,P'). For n>1, we argue that these critical theories are realized on the lattice by n x n fusion of the n=1 models. For n=2, we call them logarithmic superconformal minimal models LSM(p,p') where P=|2p-p'|, P'=p' and p,p' are coprime, and they share the central charges of the rational superconformal minimal models SM(P,P'). Their mathematical description entails the fused planar Temperley-Lieb algebra which is a spin-1 BMW tangle algebra with loop fugacity beta_2=x^2+1+x^{-2} and twist omega=x^4 where x=e^{i(p'-p)pi/p'}. Examples are superconformal dense polymers LSM(2,3) with c=-5/2, beta_2=0 and superconformal percolation LSM(3,4) with c=0, beta_2=1. We calculate the free energies analytically. By numerically studying finite-size spectra on the strip with appropriate boundary conditions in Neveu-Schwarz and Ramond sectors, we argue that, in the continuum scaling limit, these lattice models are associated with the logarithmic superconformal models LM(P,P';2). For system size N, we propose finitized Kac character formulas whose P,P' dependence only enters in the fractional power of q in a prefactor. These characters involve Motzkin and Riordan polynomials defined in terms of q-trinomial coefficients. Using the Hamiltonian limit, we argue that there exist reducible yet indecomposable representations for which the Virasoro dilatation operator L_0 exhibits rank-2 Jordan blocks confirming that these theories are indeed logarithmic. We relate these results to the N=1 superconformal representation theory.

8.793679

9.607624

11.314068

8.674881

9.670416

9.784167

9.780416

9.178077

8.969945

12.297581

9.082469

8.906188

9.536213

8.681359

8.888829

8.896367

8.993038

8.978004

8.738243

9.824

8.604257

2407.16476

Maurizio Firrotta

Maurizio Firrotta, Elias Kiritsis, Vasilis Niarchos

Scattering, Absorption and Emission of Highly Excited Strings

54 pages, 3 figures

null

CCTP-2024-11, ITCP-IPP-2024/11

hep-th

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

We study tree-level scattering processes of arbitrary string states using the DDF formalism and suitable coherent vertex operators. We obtain new exact compact formulae for heavy-heavy-light-light scattering amplitudes in open or closed bosonic string theories, and derive explicit exact expressions for the absorption cross-sections, and corresponding emission rates, of highly excited string states using the optical theorem and time reversal symmetry. We show that these expressions are independent of the microscopic structure of the excited string states without averaging. For the absorption of massless modes in open string theory, in particular, we find a constant, frequency-independent cross-section. In contrast, the corresponding cross-section for the absorption of massless modes by excited closed strings depends linearly on the frequency, implying a non-trivial grey-body factor. In both cases, at energies below the scale set by the mass of the highly excited strings, we find emission rates with a Boltzmann factor at Hagedorn temperature.

[ { "created": "Tue, 23 Jul 2024 13:45:39 GMT", "version": "v1" } ]

2024-07-24

[ [ "Firrotta", "Maurizio", "" ], [ "Kiritsis", "Elias", "" ], [ "Niarchos", "Vasilis", "" ] ]

We study tree-level scattering processes of arbitrary string states using the DDF formalism and suitable coherent vertex operators. We obtain new exact compact formulae for heavy-heavy-light-light scattering amplitudes in open or closed bosonic string theories, and derive explicit exact expressions for the absorption cross-sections, and corresponding emission rates, of highly excited string states using the optical theorem and time reversal symmetry. We show that these expressions are independent of the microscopic structure of the excited string states without averaging. For the absorption of massless modes in open string theory, in particular, we find a constant, frequency-independent cross-section. In contrast, the corresponding cross-section for the absorption of massless modes by excited closed strings depends linearly on the frequency, implying a non-trivial grey-body factor. In both cases, at energies below the scale set by the mass of the highly excited strings, we find emission rates with a Boltzmann factor at Hagedorn temperature.

10.577781

9.916459

11.18929

9.773315

10.380844

9.450945

10.479802

9.314439

9.022798

11.952986

9.873087

9.635372

10.941695

9.836509

9.876718

9.903879

9.815134

9.667218

9.961472

10.829702

10.058311

1506.02864

Josip Trampetic Dr.

Raul Horvat, Josip Trampetic and Jiangyang You

Photon polarization tensor on deformed spacetime: A four-photon-tadpole contribution

14 pages, 2 figures, Proceedings of the Corfu Summer Institute 2015 "School and Workshops on Elementary Particle Physics and Gravity, 1-27 September 2015, Corfu, Greece

null

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

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

In this contribution to the Proceedings of the Corfu Summer Institute 2015 we present our study on photon self-interaction in the deformed U(1) gauge field theory defined via Seiberg-Witten map. We derive the theta-exact expressions for the four photon self-coupling in this theory with a large number of gauge symmetry inspired freedom parameters included. The physical effect of four photon self-coupling is accessed by its contribution to photon polarization tensor via 1-loop four-photon-tadpole-diagram. The four-photon tadpole diagram consists the same tensorial structures as the photon self-interacting bubble diagram we studied before, with however only quadratically IR divergent coefficients. We show that there exists a unique combination of gauge symmetry inspired freedoms which induces full quadratic IR divergence cancellation for arbitrary noncommutative parameter theta once the photon self-interacting bubble and tadpole diagrams are summed over.

[ { "created": "Tue, 9 Jun 2015 11:32:05 GMT", "version": "v1" }, { "created": "Tue, 2 Feb 2016 15:30:26 GMT", "version": "v2" } ]

2016-02-03

[ [ "Horvat", "Raul", "" ], [ "Trampetic", "Josip", "" ], [ "You", "Jiangyang", "" ] ]

In this contribution to the Proceedings of the Corfu Summer Institute 2015 we present our study on photon self-interaction in the deformed U(1) gauge field theory defined via Seiberg-Witten map. We derive the theta-exact expressions for the four photon self-coupling in this theory with a large number of gauge symmetry inspired freedom parameters included. The physical effect of four photon self-coupling is accessed by its contribution to photon polarization tensor via 1-loop four-photon-tadpole-diagram. The four-photon tadpole diagram consists the same tensorial structures as the photon self-interacting bubble diagram we studied before, with however only quadratically IR divergent coefficients. We show that there exists a unique combination of gauge symmetry inspired freedoms which induces full quadratic IR divergence cancellation for arbitrary noncommutative parameter theta once the photon self-interacting bubble and tadpole diagrams are summed over.

15.126917

14.237146

15.482533

13.30344

13.791015

14.707153

14.84849

14.41218

12.968504

16.298834

12.927542

12.998586

14.498354

13.498115

13.312548

13.246298

13.647325

13.153089

13.176481

13.910929

13.481978

hep-th/9803201

Pavol Severa

Quantum Kramers-Wannier Duality And Its Topology

LaTex, 16 pages, 18 figures

JHEP 0205 (2002) 049

10.1088/1126-6708/2002/05/049

null

hep-th cond-mat math.QA

null

We show for any oriented surface, possibly with a boundary, how to generalize Kramers-Wannier duality to the world of quantum groups. The generalization is motivated by quantization of Poisson-Lie T-duality from the string theory. Cohomologies with quantum coefficients are defined for surfaces and their meaning is revealed. They are functorial with respect to some glueing operations and connected with q-invariants of 3-folds.

[ { "created": "Wed, 25 Mar 1998 13:17:45 GMT", "version": "v1" }, { "created": "Fri, 27 Mar 1998 14:15:49 GMT", "version": "v2" } ]

2009-10-31

[ [ "Severa", "Pavol", "" ] ]

We show for any oriented surface, possibly with a boundary, how to generalize Kramers-Wannier duality to the world of quantum groups. The generalization is motivated by quantization of Poisson-Lie T-duality from the string theory. Cohomologies with quantum coefficients are defined for surfaces and their meaning is revealed. They are functorial with respect to some glueing operations and connected with q-invariants of 3-folds.

14.723418

15.066383

18.438633

14.624257

17.232275

16.396902

13.832769

17.196812

14.422219

15.873742

14.363154

14.353733

15.685117

14.349008

14.366333

14.223283

14.20942

15.004537

13.540391

15.007717

14.224572

2211.14381

Iosif Bena

Iosif Bena, Emilian Dudas, Mariana Gra\~na, Gabriele Lo Monaco and Dimitrios Toulikas

Anti D3-branes and gaugino condensation

17 pages, LaTeX

null

hep-th

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

Anti-D3 branes at the bottom of warped throats, commonly used to uplift the cosmological constant in String-Theory de Sitter proposals, source a plaethora of supersymmetry-breaking fluxes, that can interact nontrivially with other ingredients of the flux compactification. In this paper we perform a complex-structure decomposition of these fluxes, and compute the effect of the (0,3) flux component on the stabilization of K\"ahler moduli via D7-branes gaugino condensation. This allows us to obtain a new constraint on the validity of this stabilization mechanism. This effect does not appear hard to satisfy in de Sitter construction proposals that use long warped throats, but may be problematic in proposals where the warping is small.

[ { "created": "Fri, 25 Nov 2022 21:45:44 GMT", "version": "v1" } ]

2022-11-29

[ [ "Bena", "Iosif", "" ], [ "Dudas", "Emilian", "" ], [ "Graña", "Mariana", "" ], [ "Monaco", "Gabriele Lo", "" ], [ "Toulikas", "Dimitrios", "" ] ]

Anti-D3 branes at the bottom of warped throats, commonly used to uplift the cosmological constant in String-Theory de Sitter proposals, source a plaethora of supersymmetry-breaking fluxes, that can interact nontrivially with other ingredients of the flux compactification. In this paper we perform a complex-structure decomposition of these fluxes, and compute the effect of the (0,3) flux component on the stabilization of K\"ahler moduli via D7-branes gaugino condensation. This allows us to obtain a new constraint on the validity of this stabilization mechanism. This effect does not appear hard to satisfy in de Sitter construction proposals that use long warped throats, but may be problematic in proposals where the warping is small.

14.611696

11.616743

15.732546

11.827928

11.476628

11.598658

10.87368

12.372993

11.015073

14.23677

10.789112

10.908564

11.862408

11.107863

11.378627

10.936967

10.878088

11.292204

11.243376

12.255816

11.454371

hep-th/0211210

Evgeny Sorkin

Evgeny Sorkin and Tsvi Piran

Initial Data for Black Holes and Black Strings in 5d

4 pp, 3 figs. v3: Discussion extended including know variouse choices of the source. The value of $\zeta_c$, errors and typos are corrected. Conclusions clarified but ain't changed. More references added. Accepted for publication in PRL

Phys.Rev.Lett. 90 (2003) 171301

10.1103/PhysRevLett.90.171301

null

hep-th gr-qc

null

We explore time-symmetric hypersurfaces containing apparent horizons of black objects in a 5d spacetime with one coordinate compactified on a circle. We find a phase transition within the family of such hypersurfaces: the horizon has different topology for different parameters. The topology varies from $S^3$ to $S^2 \times S^1$. This phase transition is discontinuous -- the topology of the horizon changes abruptly. We explore the behavior around the critical point and present a possible phase diagram.

[ { "created": "Fri, 22 Nov 2002 08:31:37 GMT", "version": "v1" }, { "created": "Sun, 24 Nov 2002 14:18:50 GMT", "version": "v2" }, { "created": "Wed, 5 Mar 2003 16:02:07 GMT", "version": "v3" } ]

2009-11-07

[ [ "Sorkin", "Evgeny", "" ], [ "Piran", "Tsvi", "" ] ]

We explore time-symmetric hypersurfaces containing apparent horizons of black objects in a 5d spacetime with one coordinate compactified on a circle. We find a phase transition within the family of such hypersurfaces: the horizon has different topology for different parameters. The topology varies from $S^3$ to $S^2 \times S^1$. This phase transition is discontinuous -- the topology of the horizon changes abruptly. We explore the behavior around the critical point and present a possible phase diagram.

9.255657

7.758981

7.9151

7.143717

7.794413

7.632257

8.08609

7.464447

8.020409

7.917127

7.834298

8.149046

8.07831

7.683234

7.756138

7.79294

8.407308

7.839806

8.189658

8.109589

8.029562

hep-th/0403098

Soumitra SenGupta

Biswarup Mukhopadhyaya, Siddhartha Sen, Somasri Sen and Soumitra SenGupta

Bulk Kalb-Ramond field in Randall Sundrum scenario

15 Pages,2 figures,Latex

Phys.Rev. D70 (2004) 066009

10.1103/PhysRevD.70.066009

null

hep-th

null

We have considered the most general gauge invariant five-dimensional action of a second rank antisymmetric Kalb-Ramond tensor gauge theory, including a topological term of the form $\epsilon^{ABLMN}B_{AB}H_{LMN}$ in a Randall-Sundrum scenario. Such a tensor field $B_{AB}$ (whose rank-3 field strength tensor is $H_{LMN}$), which appears in the massless sector of a heterotic string theory, is assumed to coexist with the gravity in the bulk. The third rank field strength corresponding to the Kalb-Ramond field has a well-known geometric interpretation as the spacetime torsion. The only non-trivial classical solutions corresponding to the effective four-dimensional action are found to be self-dual or anti-selfdual Kalb-Ramond fields. This ensures that the four-dimensional effective action on the brane is parity-conserving. The massive modes for both cases, lying in the TeV range, are related to the fundamental parameters of the theory. These modes can be within the kinematic reach of forthcoming TeV scale experiments. However, the couplings of the massless as well as massive Kalb-Ramond modes with matter on the visible brane are found to be suppressed vis-a-vis that of the graviton by the warp factor, whence the conclusion is that both the massless and the massive torsion modes appear much weaker than curvature to an observer on the visible brane.

[ { "created": "Tue, 9 Mar 2004 09:50:53 GMT", "version": "v1" } ]

2009-11-10

[ [ "Mukhopadhyaya", "Biswarup", "" ], [ "Sen", "Siddhartha", "" ], [ "Sen", "Somasri", "" ], [ "SenGupta", "Soumitra", "" ] ]

We have considered the most general gauge invariant five-dimensional action of a second rank antisymmetric Kalb-Ramond tensor gauge theory, including a topological term of the form $\epsilon^{ABLMN}B_{AB}H_{LMN}$ in a Randall-Sundrum scenario. Such a tensor field $B_{AB}$ (whose rank-3 field strength tensor is $H_{LMN}$), which appears in the massless sector of a heterotic string theory, is assumed to coexist with the gravity in the bulk. The third rank field strength corresponding to the Kalb-Ramond field has a well-known geometric interpretation as the spacetime torsion. The only non-trivial classical solutions corresponding to the effective four-dimensional action are found to be self-dual or anti-selfdual Kalb-Ramond fields. This ensures that the four-dimensional effective action on the brane is parity-conserving. The massive modes for both cases, lying in the TeV range, are related to the fundamental parameters of the theory. These modes can be within the kinematic reach of forthcoming TeV scale experiments. However, the couplings of the massless as well as massive Kalb-Ramond modes with matter on the visible brane are found to be suppressed vis-a-vis that of the graviton by the warp factor, whence the conclusion is that both the massless and the massive torsion modes appear much weaker than curvature to an observer on the visible brane.

7.664523

7.935242

7.663286

7.300885

7.902071

7.580421

7.84663

7.543235

7.14187

8.485199

7.232249

7.373713

7.454678

7.375672

7.304699

7.499794

7.31209

7.410529

7.188987

7.164656

7.38296

hep-th/0510254

Jonathan Hsu

Jonathan P. Hsu, Renata Kallosh, and Navin Sivanandam

Features of deSitter Vacua in M-Theory

14 pages, 1 figure

JHEP0601:123,2006

10.1088/1126-6708/2006/01/123

SU-ITP-05/31, SLAC-PUB-11548

hep-th

null

We compute the masses of all moduli in the unstable deSitter vacua arising in the toy model of cosmological M-theory flux compactifications on the G2 holonomy manifolds of [1]. The slow-roll parameters in the tachyonic directions are shown to be too large to be useful for conventional models of inflation. However, it appears that we can find fast roll regimes which could, under certain conditions, account for the current dark energy driven accelerated expansion of the universe.

[ { "created": "Mon, 31 Oct 2005 18:38:40 GMT", "version": "v1" } ]

2009-11-11

[ [ "Hsu", "Jonathan P.", "" ], [ "Kallosh", "Renata", "" ], [ "Sivanandam", "Navin", "" ] ]

We compute the masses of all moduli in the unstable deSitter vacua arising in the toy model of cosmological M-theory flux compactifications on the G2 holonomy manifolds of [1]. The slow-roll parameters in the tachyonic directions are shown to be too large to be useful for conventional models of inflation. However, it appears that we can find fast roll regimes which could, under certain conditions, account for the current dark energy driven accelerated expansion of the universe.

11.156902

10.31019

10.235846

10.566737

10.634975

10.091492

11.213133

10.029747

10.226578

12.068358

9.654139

9.868397

10.891349

10.072701

9.861926

10.302128

10.512093

10.473733

10.670953

10.920671

9.94332

2310.13435

Makoto Ochiai

Dynamically assisted pair production in subcritical potential step and particle--anti-particle interpretations

null

hep-th quant-ph

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

Particle--anti-particle interpretation under spatially inhomogeneous external fields within the framework of quantum field theory is a nontrivial problem. In this paper, we focus on the two interpretations established in [Phys. Rev. D 93, 045002 (2016)] and [Prog. Theor. Exp. Phys. 2022, 073B02 (2022)], both of which give consistent results of vacuum instability and pair production. To shed light on their differences, a pair production under a potential step assisted by a weak and oscillating electric field is discussed. It is shown that the potential step and the oscillating field, each insufficient for vacuum decay, can produce pairs when combined. In addition, the two pictures give rise to quantitative differences in the number of created pairs at the second-order perturbation of the oscillating field. It might provide a clue to investigate the correct particle--anti-particle interpretation by comparing the result with numerical simulations or experiments.

[ { "created": "Fri, 20 Oct 2023 11:48:02 GMT", "version": "v1" } ]

2023-10-24

[ [ "Ochiai", "Makoto", "" ] ]

Particle--anti-particle interpretation under spatially inhomogeneous external fields within the framework of quantum field theory is a nontrivial problem. In this paper, we focus on the two interpretations established in [Phys. Rev. D 93, 045002 (2016)] and [Prog. Theor. Exp. Phys. 2022, 073B02 (2022)], both of which give consistent results of vacuum instability and pair production. To shed light on their differences, a pair production under a potential step assisted by a weak and oscillating electric field is discussed. It is shown that the potential step and the oscillating field, each insufficient for vacuum decay, can produce pairs when combined. In addition, the two pictures give rise to quantitative differences in the number of created pairs at the second-order perturbation of the oscillating field. It might provide a clue to investigate the correct particle--anti-particle interpretation by comparing the result with numerical simulations or experiments.

9.005049

9.000651

8.825557

8.736116

8.66723

8.66506

8.653563

9.164568

8.431924

8.879065

8.5343

8.641317

8.614264

8.225816

8.577275

8.467491

8.760678

8.56934

8.402358

8.657598

8.538162

hep-th/0005127

Shin'ichi Nojiri

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

(Non)-singular brane-world cosmology induced by quantum effects in d5 dilatonic gravity

LaTeX file 28 pages and two eps files, few misprints are corrected

Phys.Rev.D62:104003,2000

10.1103/PhysRevD.62.104003

NDA-FP-74

hep-th

null

5d dilatonic gravity (bosonic sector of gauged supergravity) with non-trivial bulk potential and with surface terms (boundary cosmological constant and trace anomaly induced effective action for brane quantum matter) is considered. For constant bulk potential and maximally SUSY Yang-Mills theory (CFT living on the brane) the inflationary brane-world is constructed. The bulk is singular asymptotically AdS space with non-constant dilaton and dilatonic de Sitter or hyperbolic brane is induced by quantum matter effects. At the same time, dilaton on the brane is determined dynamically. This all is natural realization of warped compactification in AdS/CFT correspondence. For fine-tuned toy example of non-constant bulk potential we found the non-singular dilatonic brane-world where bulk again represents asymptotically AdS space and de Sitter brane (inflationary phase of observable Universe) is induced exclusively by quantum effects. The radius of the brane and dilaton are determined dynamically. The analytically solvable example of exponential bulk potential leading to singular asymptotically AdS dilatonic bulk space with de Sitter (or hyperbolic) brane is also presented.In all cases under discussion the gravity on the brane is trapped via Randall-Sundrum scenario. It is shown that qualitatively the same types of brane-worlds occur when quantum brane matter is described by $N$ dilaton coupled spinors.

[ { "created": "Sun, 14 May 2000 09:18:19 GMT", "version": "v1" }, { "created": "Fri, 19 May 2000 04:42:25 GMT", "version": "v2" }, { "created": "Thu, 30 Nov 2000 02:15:11 GMT", "version": "v3" } ]

2009-09-17

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

5d dilatonic gravity (bosonic sector of gauged supergravity) with non-trivial bulk potential and with surface terms (boundary cosmological constant and trace anomaly induced effective action for brane quantum matter) is considered. For constant bulk potential and maximally SUSY Yang-Mills theory (CFT living on the brane) the inflationary brane-world is constructed. The bulk is singular asymptotically AdS space with non-constant dilaton and dilatonic de Sitter or hyperbolic brane is induced by quantum matter effects. At the same time, dilaton on the brane is determined dynamically. This all is natural realization of warped compactification in AdS/CFT correspondence. For fine-tuned toy example of non-constant bulk potential we found the non-singular dilatonic brane-world where bulk again represents asymptotically AdS space and de Sitter brane (inflationary phase of observable Universe) is induced exclusively by quantum effects. The radius of the brane and dilaton are determined dynamically. The analytically solvable example of exponential bulk potential leading to singular asymptotically AdS dilatonic bulk space with de Sitter (or hyperbolic) brane is also presented.In all cases under discussion the gravity on the brane is trapped via Randall-Sundrum scenario. It is shown that qualitatively the same types of brane-worlds occur when quantum brane matter is described by $N$ dilaton coupled spinors.

10.542057

9.688084

10.657063

9.461384

10.438966

9.413316

10.132236

9.68132

9.820129

11.330031

9.898

9.56788

9.963135

9.689243

9.952971

9.59051

9.630356

9.454696

9.656571

10.438924

9.86237

1707.06023

Neven Bili\'c

Neven Bilic, Silvije Domazet, Goran S. Djordjevic

Particle creation and reheating in a braneworld inflationary scenario

19 pages, 1figure, added references, typos corrected

Phys. Rev. D 96, 083518 (2017)

10.1103/PhysRevD.96.083518

null

hep-th gr-qc

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

We study the cosmological particle creation in the tachyon inflation based on the D-brane dynamics in the RSII model extended to include matter in the bulk. The presence of matter modifies the warp factor which results in two effects: a modification of the RSII cosmology and a modification of the tachyon potential. Besides, a string theory D-brane supports among other fields a U(1) gauge field reflecting open strings attached to the brane. We demonstrate how the interaction of the tachyon with the U(1) gauge field drives cosmological creation of massless particles and estimate the resulting reheating at the end of inflation.

[ { "created": "Wed, 19 Jul 2017 11:25:29 GMT", "version": "v1" }, { "created": "Fri, 21 Jul 2017 07:50:28 GMT", "version": "v2" }, { "created": "Thu, 27 Jul 2017 14:51:35 GMT", "version": "v3" } ]

2017-10-25

[ [ "Bilic", "Neven", "" ], [ "Domazet", "Silvije", "" ], [ "Djordjevic", "Goran S.", "" ] ]

We study the cosmological particle creation in the tachyon inflation based on the D-brane dynamics in the RSII model extended to include matter in the bulk. The presence of matter modifies the warp factor which results in two effects: a modification of the RSII cosmology and a modification of the tachyon potential. Besides, a string theory D-brane supports among other fields a U(1) gauge field reflecting open strings attached to the brane. We demonstrate how the interaction of the tachyon with the U(1) gauge field drives cosmological creation of massless particles and estimate the resulting reheating at the end of inflation.

8.767623

8.38579

8.300657

7.957306

8.400407

7.841494

8.686426

8.079249

8.095478

8.372396

8.164598

8.501103

8.330878

8.412804

8.583405

8.736233

8.546805

8.267079

8.228989

8.597267

8.358297

1704.06852

Valeriy Tolstoy

A. Borowiec, J. Lukierski, V.N. Tolstoy

Quantum deformations of $D=4$ Euclidean, Lorentz, Kleinian and quaternionic $\mathfrak{o}^{\star}(4)$ symmetries in unified $\mathfrak{o}(4;\mathbb{C})$ setting -- Addendum

10 pages. We supplement results of our previous paper by adding new $\mathfrak{o}(2,2)$ and $\mathfrak{o}^{\star}(4)$ $r$-matrices needed for the complete classification of real classical $r$-matrices for all four real forms of $\mathfrak{o}(4;\mathbb{C})$

null

10.1016/j.physletb.2017.04.070

null

hep-th

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

In our previous paper we obtained a full classification of nonequivalent quasitriangular quantum deformations for the complex $D=4$ Euclidean Lie symmetry $\mathfrak{o}(4;\mathbb{C})$. The result was presented in the form of a list consisting of three three-parameter, one two-parameter and one one-parameter nonisomorphic classical $r$-matrices which provide 'directions' of the nonequivalent quantizations of $\mathfrak{o}(4;\mathbb{C})$. Applying reality conditions to the complex $\mathfrak{o}(4;\mathbb{C})$ $r$-matrices we obtained the nonisomorphic classical $r$-matrices for all possible real forms of $\mathfrak{o}(4;\mathbb{C})$: Euclidean $\mathfrak{o}(4)$, Lorentz $\mathfrak{o}(3,1)$, Kleinian $\mathfrak{o}(2,2)$ and quaternionic $\mathfrak{o}^{\star}(4)$ Lie algebras. In the case of $\mathfrak{o}(4)$ and $\mathfrak{o}(3,1)$ real symmetries these $r$-matrices give the full classifications of the inequivalent quasitriangular quantum deformations, however for $\mathfrak{o}(2,2)$ and $\mathfrak{o}^{\star}(4)$ the classifications are not full. In this paper we complete these classifications by adding three new three-parameter $\mathfrak{o}(2,2)$-real $r$-matrices and one new three-parameter $\mathfrak{o}^{\star}(4)$-real $r$-matrix. All nonisomorphic classical $r$-matrices for all real forms of $\mathfrak{o}(4;\mathbb{C})$ are presented in the explicite form what is convenient for providing the quantizations. We will mention also some applications of our results to the deformations of space-time symmetries and string $\sigma$-models.

[ { "created": "Sat, 22 Apr 2017 21:26:15 GMT", "version": "v1" } ]

2017-05-03

[ [ "Borowiec", "A.", "" ], [ "Lukierski", "J.", "" ], [ "Tolstoy", "V. N.", "" ] ]

In our previous paper we obtained a full classification of nonequivalent quasitriangular quantum deformations for the complex $D=4$ Euclidean Lie symmetry $\mathfrak{o}(4;\mathbb{C})$. The result was presented in the form of a list consisting of three three-parameter, one two-parameter and one one-parameter nonisomorphic classical $r$-matrices which provide 'directions' of the nonequivalent quantizations of $\mathfrak{o}(4;\mathbb{C})$. Applying reality conditions to the complex $\mathfrak{o}(4;\mathbb{C})$ $r$-matrices we obtained the nonisomorphic classical $r$-matrices for all possible real forms of $\mathfrak{o}(4;\mathbb{C})$: Euclidean $\mathfrak{o}(4)$, Lorentz $\mathfrak{o}(3,1)$, Kleinian $\mathfrak{o}(2,2)$ and quaternionic $\mathfrak{o}^{\star}(4)$ Lie algebras. In the case of $\mathfrak{o}(4)$ and $\mathfrak{o}(3,1)$ real symmetries these $r$-matrices give the full classifications of the inequivalent quasitriangular quantum deformations, however for $\mathfrak{o}(2,2)$ and $\mathfrak{o}^{\star}(4)$ the classifications are not full. In this paper we complete these classifications by adding three new three-parameter $\mathfrak{o}(2,2)$-real $r$-matrices and one new three-parameter $\mathfrak{o}^{\star}(4)$-real $r$-matrix. All nonisomorphic classical $r$-matrices for all real forms of $\mathfrak{o}(4;\mathbb{C})$ are presented in the explicite form what is convenient for providing the quantizations. We will mention also some applications of our results to the deformations of space-time symmetries and string $\sigma$-models.

3.314004

3.39969

3.582836

3.284682

3.429939

3.432513

3.355786

3.387076

3.27871

3.477369

3.202702

3.300973

3.348197

3.262513

3.27903

3.231647

3.195279

3.242179

3.259835

3.287119

3.193336

1711.02459

Mariano Cadoni

Mariano Cadoni, Matteo Ciulu, Matteo Tuveri

Symmetries, Holography and Quantum Phase Transition in Two-dimensional Dilaton AdS Gravity

7 pages, no figures

Phys. Rev. D 97, 103527 (2018)

10.1103/PhysRevD.97.103527

null

hep-th gr-qc

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

We present a revisitation of the Almheiri-Polchinski dilaton gravity model from a two-dimensional (2D) bulk perspective. We describe a peculiar feature of the model, namely the pattern of conformal symmetry breaking using bulk Killing vectors, a covariant definition of mass and the flow between different vacua of the theory. We show that the effect of the symmetry breaking is both the generation of an infrared scale (a mass gap) and to make local the Goldstone modes associated with the asymptotic symmetries of the 2D spacetime. In this way a non vanishing central charge is generated in the dual conformal theory, which accounts for the microscopic entropy of the 2D black hole. The use of covariant mass allows to compare energetically the two different vacua of the theory and to show that at zero temperature the vacuum with a constant dilaton is energetically preferred. We also translate in the bulk language several features of the dual CFT discussed by Maldacena et al. The uplifting of the 2D model to $(d+2)-$dimensional theories exhibiting hyperscaling violation is briefly discussed.

[ { "created": "Tue, 7 Nov 2017 13:40:51 GMT", "version": "v1" } ]

2018-06-06

[ [ "Cadoni", "Mariano", "" ], [ "Ciulu", "Matteo", "" ], [ "Tuveri", "Matteo", "" ] ]

We present a revisitation of the Almheiri-Polchinski dilaton gravity model from a two-dimensional (2D) bulk perspective. We describe a peculiar feature of the model, namely the pattern of conformal symmetry breaking using bulk Killing vectors, a covariant definition of mass and the flow between different vacua of the theory. We show that the effect of the symmetry breaking is both the generation of an infrared scale (a mass gap) and to make local the Goldstone modes associated with the asymptotic symmetries of the 2D spacetime. In this way a non vanishing central charge is generated in the dual conformal theory, which accounts for the microscopic entropy of the 2D black hole. The use of covariant mass allows to compare energetically the two different vacua of the theory and to show that at zero temperature the vacuum with a constant dilaton is energetically preferred. We also translate in the bulk language several features of the dual CFT discussed by Maldacena et al. The uplifting of the 2D model to $(d+2)-$dimensional theories exhibiting hyperscaling violation is briefly discussed.

9.089279

8.543683

8.82973

8.280197

8.609694

8.319927

8.315723

8.291853

8.136348

10.136353

8.136543

8.441995

8.619707

8.37739

8.360274

8.319743

8.491104

8.189604

8.386027

8.81059

8.399651

hep-th/0603112

Anastasia Doikou

The open XXZ and associated models at q root of unity

31 pages, LATEX, minor typos corrected

J.Stat.Mech.0609:P05010,2006

10.1088/1742-5468/2006/09/P09010

null

hep-th cond-mat.stat-mech nlin.SI

null

The generalized open XXZ model at $q$ root of unity is considered. We review how associated models, such as the $q$ harmonic oscillator, and the lattice sine-Gordon and Liouville models are obtained. Explicit expressions of the local Hamiltonian of the spin ${1 \over 2}$ XXZ spin chain coupled to dynamical degrees of freedom at the one end of the chain are provided. Furthermore, the boundary non-local charges are given for the lattice sine Gordon model and the $q$ harmonic oscillator with open boundaries. We then identify the spectrum and the corresponding Bethe states, of the XXZ and the q harmonic oscillator in the cyclic representation with special non diagonal boundary conditions. Moreover, the spectrum and Bethe states of the lattice versions of the sine-Gordon and Liouville models with open diagonal boundaries is examined. The role of the conserved quantities (boundary non-local charges) in the derivation of the spectrum is also discussed.

[ { "created": "Tue, 14 Mar 2006 15:58:58 GMT", "version": "v1" }, { "created": "Wed, 6 Sep 2006 18:20:12 GMT", "version": "v2" }, { "created": "Mon, 11 Dec 2006 19:02:27 GMT", "version": "v3" } ]

2016-04-26

[ [ "Doikou", "Anastasia", "" ] ]

The generalized open XXZ model at $q$ root of unity is considered. We review how associated models, such as the $q$ harmonic oscillator, and the lattice sine-Gordon and Liouville models are obtained. Explicit expressions of the local Hamiltonian of the spin ${1 \over 2}$ XXZ spin chain coupled to dynamical degrees of freedom at the one end of the chain are provided. Furthermore, the boundary non-local charges are given for the lattice sine Gordon model and the $q$ harmonic oscillator with open boundaries. We then identify the spectrum and the corresponding Bethe states, of the XXZ and the q harmonic oscillator in the cyclic representation with special non diagonal boundary conditions. Moreover, the spectrum and Bethe states of the lattice versions of the sine-Gordon and Liouville models with open diagonal boundaries is examined. The role of the conserved quantities (boundary non-local charges) in the derivation of the spectrum is also discussed.

9.676465

8.687153

9.948928

8.800892

9.64219

9.343105

9.629066

9.721625

9.352241

10.786663

9.11681

9.012652

9.494925

8.912654

9.248713

8.977646

9.042714

9.335847

8.979555

9.629519

9.012999

hep-th/0405066

Yao-Zhong Zhang

Super Coherent States, Boson-Fermion Realizations and Representations of Superalgebras

LaTex 20 pages. Invited contribution for the volume "Trends in Field Theory Research" by Nova Science Publishers Inc., New York, 2004. Accepted for publication in the volume

in "New Developments in Field Theory", Ed. O. Kovras, Nova Science Publishers, 2006

null

hep-th

null

Super coherent states are useful in the explicit construction of representations of superalgebras and quantum superalgebras. In this contribution, we describe how they are used to construct (quantum) boson-fermion realizations and representations of (quantum) superalgebras. We work through a few examples: $osp(1|2)$ and its quantum version $U_t[osp(1|2)]$, $osp(2|2)$ in the non-standard and standard bases and $gl(2|2)$ in the non-standard basis. We obtain free boson-fermion realizations of these superalgebras. Applying the boson-fermion realizations, we explicitly construct their finite-dimensional representations. Our results are expected to be useful in the study of current superalgebras and their corresponding conformal field theories.

[ { "created": "Sat, 8 May 2004 07:23:36 GMT", "version": "v1" }, { "created": "Wed, 23 Feb 2005 01:56:59 GMT", "version": "v2" } ]

2007-05-23

[ [ "Zhang", "Yao-Zhong", "" ] ]

Super coherent states are useful in the explicit construction of representations of superalgebras and quantum superalgebras. In this contribution, we describe how they are used to construct (quantum) boson-fermion realizations and representations of (quantum) superalgebras. We work through a few examples: $osp(1|2)$ and its quantum version $U_t[osp(1|2)]$, $osp(2|2)$ in the non-standard and standard bases and $gl(2|2)$ in the non-standard basis. We obtain free boson-fermion realizations of these superalgebras. Applying the boson-fermion realizations, we explicitly construct their finite-dimensional representations. Our results are expected to be useful in the study of current superalgebras and their corresponding conformal field theories.

5.011634

5.091422

5.86645

4.772899

4.866937

4.856562

4.869169

5.256875

4.980284

6.082999

4.947433

4.861881

5.027185

4.841168

4.856035

4.720609

4.828115

4.653244

4.720078

4.920146

4.589493

hep-th/9907082

Max Zucker

Minimal Off-Shell Supergravity in Five Dimensions

18 pages, Latex 2e, amstex, no figures, typos corrected, mistakes in sec. 3 corrected

Nucl.Phys. B570 (2000) 267-283

10.1016/S0550-3213(99)00750-6

BONN-TH-99-10

hep-th

null

We give an off-shell formulation of N=2 Poincare supergravity in five dimensions

[ { "created": "Mon, 12 Jul 1999 13:24:32 GMT", "version": "v1" }, { "created": "Wed, 1 Sep 1999 15:33:31 GMT", "version": "v2" } ]

2009-10-31

[ [ "Zucker", "Max", "" ] ]

We give an off-shell formulation of N=2 Poincare supergravity in five dimensions

15.642087

5.379736

12.165404

5.630298

5.676937

5.850106

5.006643

5.248036

5.911151

14.247832

6.340405

7.335878

13.936811

8.556007

8.445068

7.89833

7.792377

8.516851

8.550788

13.039315

8.013087

1911.05631

Hongliang Jiang

Hongliang Jiang, Gabriele Tartaglino-Mazzucchelli

Supersymmetric $J\bar{T}$ and $T\bar{J}$ deformations

47 pages

null

10.1007/JHEP05(2020)140

null

hep-th

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

We explore the $J\bar{T}$ and $T\bar{J}$ deformations of two-dimensional field theories possessing $\mathcal N=(0,1),(1,1)$ and $(0,2)$ supersymmetry. Based on the stress-tensor and flavor current multiplets, we construct various bilinear supersymmetric primary operators that induce the $J\bar{T}/T\bar{J}$ deformation in a manifestly supersymmetric way. Moreover, their supersymmetric descendants are shown to agree with the conventional $J\bar T /T\bar J$ operator on-shell. We also present some examples of $J\bar T /T\bar J$ flows arising from the supersymmetric deformation of free theories. Finally, we observe that all the deformation operators fit into a general pattern which generalizes the Smirnov-Zamolodchikov type composite operators.

[ { "created": "Wed, 13 Nov 2019 17:08:17 GMT", "version": "v1" } ]

2020-06-24

[ [ "Jiang", "Hongliang", "" ], [ "Tartaglino-Mazzucchelli", "Gabriele", "" ] ]

We explore the $J\bar{T}$ and $T\bar{J}$ deformations of two-dimensional field theories possessing $\mathcal N=(0,1),(1,1)$ and $(0,2)$ supersymmetry. Based on the stress-tensor and flavor current multiplets, we construct various bilinear supersymmetric primary operators that induce the $J\bar{T}/T\bar{J}$ deformation in a manifestly supersymmetric way. Moreover, their supersymmetric descendants are shown to agree with the conventional $J\bar T /T\bar J$ operator on-shell. We also present some examples of $J\bar T /T\bar J$ flows arising from the supersymmetric deformation of free theories. Finally, we observe that all the deformation operators fit into a general pattern which generalizes the Smirnov-Zamolodchikov type composite operators.

6.702051

6.613968

8.290659

6.436273

6.859729

6.08606

6.095231

6.313085

6.47049

7.795249

6.367026

6.488801

7.238163

6.849262

6.663465

6.494079

6.442469

6.341573

6.678787

7.431529

6.393592

hep-th/9307174

null

M. Bonini, M. D'Attanasio and G. Marchesini

Ward identities and Wilson renormalization group for QED

LaTex file, 26 pages. Figures available upon request. Parma preprint UPRF 93-382

Nucl.Phys. B418 (1994) 81-112

10.1016/0550-3213(94)90239-9

null

hep-th hep-ph

null

We analyze a formulation of QED based on the Wilson renormalization group. Although the ``effective Lagrangian'' used at any given scale does not have simple gauge symmetry, we show that the resulting renormalized Green's functions correctly satisfies Ward identities to all orders in perturbation theory. The loop expansion is obtained by solving iteratively the Polchinski's renormalization group equation. We also give a new simple proof of perturbative renormalizability. The subtractions in the Feynman graphs and the corresponding counterterms are generated in the process of fixing the physical conditions.

[ { "created": "Wed, 28 Jul 1993 17:28:35 GMT", "version": "v1" } ]

2009-10-22

[ [ "Bonini", "M.", "" ], [ "D'Attanasio", "M.", "" ], [ "Marchesini", "G.", "" ] ]

We analyze a formulation of QED based on the Wilson renormalization group. Although the ``effective Lagrangian'' used at any given scale does not have simple gauge symmetry, we show that the resulting renormalized Green's functions correctly satisfies Ward identities to all orders in perturbation theory. The loop expansion is obtained by solving iteratively the Polchinski's renormalization group equation. We also give a new simple proof of perturbative renormalizability. The subtractions in the Feynman graphs and the corresponding counterterms are generated in the process of fixing the physical conditions.

9.262937

8.801977

9.516571

8.513958

9.287983

8.801606

9.433053

8.7766

8.777225

10.913896

8.227288

8.400892

8.850371

8.35333

8.465479

8.759738

8.679157

8.209169

8.631861

9.108187

8.589034

2211.09501

Nikita Zaigraev

Ioseph Buchbinder, Evgeny Ivanov, Nikita Zaigraev

Unconstrained ${\cal N}=2$ higher-spin gauge superfields and their hypermultiplet couplings

0 + 9 pages, Invited talk at the International Conference on Quantum Field Theory, High-Energy Physics, and Cosmology (Dubna, July 18-21, 2022)

null

10.1134/S1547477123030172

null

hep-th

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

In recent papers arXiv:2109.07639 [hep-th] and arXiv:2202.08196 [hep-th], we constructed free off-shell $\mathcal{N}=2$ supersymmetric higher spin gauge theories in harmonic superspace and their cubic couplings to hypermultiplet. The present report is a brief review of the results obtained.

[ { "created": "Thu, 17 Nov 2022 12:50:14 GMT", "version": "v1" }, { "created": "Mon, 21 Nov 2022 06:38:31 GMT", "version": "v2" } ]

2023-07-12

[ [ "Buchbinder", "Ioseph", "" ], [ "Ivanov", "Evgeny", "" ], [ "Zaigraev", "Nikita", "" ] ]

In recent papers arXiv:2109.07639 [hep-th] and arXiv:2202.08196 [hep-th], we constructed free off-shell $\mathcal{N}=2$ supersymmetric higher spin gauge theories in harmonic superspace and their cubic couplings to hypermultiplet. The present report is a brief review of the results obtained.

7.01253

5.111083

7.224934

5.442771

5.421252

5.290077

5.049148

5.406148

5.34359

7.723691

5.310274

5.65115

6.576248

5.883422

5.896766

5.711699

5.806051

5.78862

5.708481

6.305351

5.642401

hep-th/9507103

H. Suzuki

Hiroshi Suzuki (Ibaraki University)

Calculation Rule for Aoyama-Tamra's Prescription for Path Integral with Quantum Tunneling

phyzzx, 8 pages

Mod.Phys.Lett. A11 (1996) 19-24

10.1142/S0217732396000047

IU-MSTP/4

hep-th

null

We derive a simple calculation rule for Aoyama--Tamra's prescription for path integral with degenerated potential minima. Non-perturbative corrections due to the restricted functional space (fundamental region) can systematically be computed with this rule. It becomes manifest that the prescription might give Borel summable series for finite temperature (or volume) system with quantum tunneling, while the advantage is lost at zero temperature (or infinite volume) limit.

[ { "created": "Thu, 20 Jul 1995 09:18:08 GMT", "version": "v1" } ]

2015-06-26

[ [ "Suzuki", "Hiroshi", "", "Ibaraki University" ] ]

We derive a simple calculation rule for Aoyama--Tamra's prescription for path integral with degenerated potential minima. Non-perturbative corrections due to the restricted functional space (fundamental region) can systematically be computed with this rule. It becomes manifest that the prescription might give Borel summable series for finite temperature (or volume) system with quantum tunneling, while the advantage is lost at zero temperature (or infinite volume) limit.

24.812336

26.036797

26.658894

23.447369

26.80752

27.014063

28.459185

25.763065

24.390514

28.41103

23.049704

22.875078

23.83423

23.945395

23.51483

23.182558

23.32275

24.304508

23.929529

23.505209

22.906149

1006.1352

Oliver DeWolfe

Allan Adams, Oliver DeWolfe and Washington Taylor

String universality in ten dimensions

7 pages, 1 figure, LaTeX. v2: typos corrected on version appearing in PRL

Phys.Rev.Lett.105:071601,2010

10.1103/PhysRevLett.105.071601

COLO-HEP-554, MIT-CTP-4155

hep-th gr-qc

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

We show that the ${\cal N}=1$ supergravity theories in ten dimensions with gauge groups $U(1)^{496}$ and $E_8 \times U(1)^{248}$ are not consistent quantum theories. Cancellation of anomalies cannot be made compatible with supersymmetry and abelian gauge invariance. Thus, in ten dimensions all supersymmetric theories of gravity without known inconsistencies are realized in string theory.

[ { "created": "Mon, 7 Jun 2010 20:00:01 GMT", "version": "v1" }, { "created": "Wed, 29 Oct 2014 02:25:26 GMT", "version": "v2" } ]

2014-10-30

[ [ "Adams", "Allan", "" ], [ "DeWolfe", "Oliver", "" ], [ "Taylor", "Washington", "" ] ]

We show that the ${\cal N}=1$ supergravity theories in ten dimensions with gauge groups $U(1)^{496}$ and $E_8 \times U(1)^{248}$ are not consistent quantum theories. Cancellation of anomalies cannot be made compatible with supersymmetry and abelian gauge invariance. Thus, in ten dimensions all supersymmetric theories of gravity without known inconsistencies are realized in string theory.

7.436009

7.451776

7.746192

6.680877

6.954363

6.379263

6.89538

7.03757

7.419076

8.340555

6.752404

6.799685

7.425987

7.445641

7.28353

7.055371

6.947682

7.149457

6.856096

7.382481

6.70916

hep-th/0609145

Ahmad Shirzad

A. Shirzad

Perfect and Imperfect Gauge Fixing

19 pages, no figure

J.Math.Phys.48:082303,2007

10.1063/1.2709846

null

hep-th

null

Gauge fixing may be done in different ways. We show that using the chain structure to describe a constrained system, enables us to use either a perfect gauge, in which all gauged degrees of freedom are determined; or an imperfect gauge, in which some first class constraints remain as subsidiary conditions to be imposed on the solutions of the equations of motion. We also show that the number of constants of motion depends on the level in a constraint chain in which the gauge fixing condition is imposed. The relativistic point particle, electromagnetism and the Polyakov string are discussed as examples and perfect or imperfect gauges are distinguished.

[ { "created": "Thu, 21 Sep 2006 13:20:04 GMT", "version": "v1" } ]

2008-11-26

[ [ "Shirzad", "A.", "" ] ]

Gauge fixing may be done in different ways. We show that using the chain structure to describe a constrained system, enables us to use either a perfect gauge, in which all gauged degrees of freedom are determined; or an imperfect gauge, in which some first class constraints remain as subsidiary conditions to be imposed on the solutions of the equations of motion. We also show that the number of constants of motion depends on the level in a constraint chain in which the gauge fixing condition is imposed. The relativistic point particle, electromagnetism and the Polyakov string are discussed as examples and perfect or imperfect gauges are distinguished.

10.953026

10.063801

11.615258

10.080152

10.409204

10.900766

9.797099

10.409163

10.651688

10.819902

10.373131

10.34874

10.172581

10.260472

9.733789

9.892325

10.062386

10.38527

10.137302

10.155193

10.02119

hep-th/9910120

George Japaridze

G.Sh.Japaridze, K.Sh.Turashvili

Renormalization of QCD Coupling Constant in Terms of Physical Quantities

9 pages, REVTeX

Int.J.Theor.Phys. 37 (1998) 865-873

null

hep-th

null

A renormalization scheme is suggested where QCD input parameters - quark mass and coupling constant - are expressed in terms of gauge invariant and infrared stable quantities. For the renormalization of coupling constant the quark anomalous electromagnetic moment is used; the latter is calculated in a two loop approximation. Examination of the renormalized S matrix indicated confinement phenomenon already in the framework of perturbation theory.

[ { "created": "Fri, 15 Oct 1999 17:16:49 GMT", "version": "v1" } ]

2007-05-23

[ [ "Japaridze", "G. Sh.", "" ], [ "Turashvili", "K. Sh.", "" ] ]

A renormalization scheme is suggested where QCD input parameters - quark mass and coupling constant - are expressed in terms of gauge invariant and infrared stable quantities. For the renormalization of coupling constant the quark anomalous electromagnetic moment is used; the latter is calculated in a two loop approximation. Examination of the renormalized S matrix indicated confinement phenomenon already in the framework of perturbation theory.

14.959636

14.593808

14.356101

13.525433

15.045858

17.051727

15.070501

13.78753

14.584202

13.195979

15.162992

14.348128

13.67307

13.529145

14.114763

14.369641

13.983158

14.149425

13.477765

13.728071

14.769549

hep-th/0607129

Vadim Asnin

Vadim Asnin, Barak Kol and Michael Smolkin

Analytic Evidence for Continuous Self Similarity of the Critical Merger Solution

25 pages, 4 figures

Class.Quant.Grav.23:6805-6827,2006

10.1088/0264-9381/23/23/013

null

hep-th

null

The double cone, a cone over a product of a pair of spheres, is known to play a role in the black-hole black-string phase diagram, and like all cones it is continuously self similar (CSS). Its zero modes spectrum (in a certain sector) is determined in detail, and it implies that the double cone is a co-dimension 1 attractor in the space of those perturbations which are smooth at the tip. This is interpreted as strong evidence for the double cone being the critical merger solution. For the non-symmetry-breaking perturbations we proceed to perform a fully non-linear analysis of the dynamical system. The scaling symmetry is used to reduce the dynamical system from a 3d phase space to 2d, and obtain the qualitative form of the phase space, including a non-perturbative confirmation of the existence of the "smoothed cone".

[ { "created": "Wed, 19 Jul 2006 17:27:32 GMT", "version": "v1" } ]

2009-11-11

[ [ "Asnin", "Vadim", "" ], [ "Kol", "Barak", "" ], [ "Smolkin", "Michael", "" ] ]

The double cone, a cone over a product of a pair of spheres, is known to play a role in the black-hole black-string phase diagram, and like all cones it is continuously self similar (CSS). Its zero modes spectrum (in a certain sector) is determined in detail, and it implies that the double cone is a co-dimension 1 attractor in the space of those perturbations which are smooth at the tip. This is interpreted as strong evidence for the double cone being the critical merger solution. For the non-symmetry-breaking perturbations we proceed to perform a fully non-linear analysis of the dynamical system. The scaling symmetry is used to reduce the dynamical system from a 3d phase space to 2d, and obtain the qualitative form of the phase space, including a non-perturbative confirmation of the existence of the "smoothed cone".

14.064436

14.671811

14.034343

13.210813

14.83006

13.986747

14.288927

13.648645

14.272118

17.256676

13.732347

14.246973

14.024978

13.747186

14.130771

13.822738

13.90431

13.507419

14.402902

14.85317

14.329972

1506.04732

Vincent Vennin

Vincent Vennin, Alexei A. Starobinsky

Correlation Functions in Stochastic Inflation

20 pages plus appendix, 4 figures, published in EPJC, typo corrected in Eq. (3.37)

Eur. Phys. J. C (2015) 75: 413

10.1140/epjc/s10052-015-3643-y

null

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

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

Combining the stochastic and $\delta N$ formalisms, we derive non perturbative analytical expressions for all correlation functions of scalar perturbations in single-field, slow-roll inflation. The standard, classical formulas are recovered as saddle-point limits of the full results. This yields a classicality criterion that shows that stochastic effects are small only if the potential is sub-Planckian and not too flat. The saddle-point approximation also provides an expansion scheme for calculating stochastic corrections to observable quantities perturbatively in this regime. In the opposite regime, we show that a strong suppression in the power spectrum is generically obtained, and comment on the physical implications of this effect.

[ { "created": "Mon, 15 Jun 2015 19:56:28 GMT", "version": "v1" }, { "created": "Tue, 15 Sep 2015 07:21:36 GMT", "version": "v2" }, { "created": "Thu, 21 Apr 2016 06:30:29 GMT", "version": "v3" }, { "created": "Wed, 30 Nov 2016 11:03:32 GMT", "version": "v4" } ]

2016-12-01

[ [ "Vennin", "Vincent", "" ], [ "Starobinsky", "Alexei A.", "" ] ]

Combining the stochastic and $\delta N$ formalisms, we derive non perturbative analytical expressions for all correlation functions of scalar perturbations in single-field, slow-roll inflation. The standard, classical formulas are recovered as saddle-point limits of the full results. This yields a classicality criterion that shows that stochastic effects are small only if the potential is sub-Planckian and not too flat. The saddle-point approximation also provides an expansion scheme for calculating stochastic corrections to observable quantities perturbatively in this regime. In the opposite regime, we show that a strong suppression in the power spectrum is generically obtained, and comment on the physical implications of this effect.

10.729914

10.514544

10.204697

9.99231

10.04222

10.419581

10.62971

9.602138

10.302197

10.116608

10.114305

10.046485

9.558825

9.86946

9.787206

9.624976

10.064147

9.643246

9.913596

9.931825

10.109937

hep-th/0511100

Volker Braun

Volker Braun, Sakura Schafer-Nameki

D-Brane Charges in Gepner Models

25 pages, 2 figures. LaTeX. v2: typos and references corrected. v3: reference added

J.Math.Phys. 47 (2006) 092304

10.1063/1.2245211

DESY-05-227, UPR-1137-T, ZMP-HH/05-20

hep-th

null

We construct Gepner models in terms of coset conformal field theories and compute their twisted equivariant K-theories. These classify the D-brane charges on the associated geometric backgrounds and therefore agree with the topological K-theories. We show this agreement for various cases, in particular the Fermat quintic.

[ { "created": "Tue, 8 Nov 2005 21:04:08 GMT", "version": "v1" }, { "created": "Fri, 11 Nov 2005 19:55:46 GMT", "version": "v2" }, { "created": "Thu, 8 Dec 2005 20:32:17 GMT", "version": "v3" } ]

2015-06-26

[ [ "Braun", "Volker", "" ], [ "Schafer-Nameki", "Sakura", "" ] ]

We construct Gepner models in terms of coset conformal field theories and compute their twisted equivariant K-theories. These classify the D-brane charges on the associated geometric backgrounds and therefore agree with the topological K-theories. We show this agreement for various cases, in particular the Fermat quintic.

12.06163

10.980493

14.668965

10.945919

10.707721

9.834281

10.754655

10.145526

9.862988

13.540177

9.943892

10.183456

12.163513

10.278465

9.718485

9.745137

9.707168

10.19884

10.123364

11.955728

10.207838

2108.09968

Peter M. Lavrov

I.L. Buchbinder, P.M. Lavrov

On classical and quantum deformations of gauge theories

11 pages, v.2: published version

Eur.Phys.J. C81 (2021) 856

10.1140/epjc/s10052-021-09671-y

null

hep-th

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

We elaborate the generalizations of the approach to gauge-invariant deformations of the gauge theories developed in our previous work [1]. In the given paper we construct the exact transformations defying the gauge-invariant deformed theory on the base of initial gauge theory with irreducible open gauge algebra. Like in [1], for the theories with open gauge algebras these transformations are the shifts of the initial gauge fields $A \rightarrow A+h(A)$, with the help of the arbitrary and in general non-local functions $h(A)$. The results are applied to study the quantum aspects of the deformed theories. We derive the exact relation between the quantum effective actions for the above classical theories, where one is obtained from another with the help of the deformation.

[ { "created": "Mon, 23 Aug 2021 06:44:21 GMT", "version": "v1" }, { "created": "Thu, 30 Sep 2021 12:15:31 GMT", "version": "v2" } ]

2021-10-01

[ [ "Buchbinder", "I. L.", "" ], [ "Lavrov", "P. M.", "" ] ]

We elaborate the generalizations of the approach to gauge-invariant deformations of the gauge theories developed in our previous work [1]. In the given paper we construct the exact transformations defying the gauge-invariant deformed theory on the base of initial gauge theory with irreducible open gauge algebra. Like in [1], for the theories with open gauge algebras these transformations are the shifts of the initial gauge fields $A \rightarrow A+h(A)$, with the help of the arbitrary and in general non-local functions $h(A)$. The results are applied to study the quantum aspects of the deformed theories. We derive the exact relation between the quantum effective actions for the above classical theories, where one is obtained from another with the help of the deformation.

11.247667

11.318539

11.639393

10.880702

12.040136

11.737103

11.221789

10.684384

11.090275

12.328361

10.948963

11.111053

11.346478

10.971271

10.957701

10.895635

11.128383

11.178397

11.321536

11.28933

10.932165

2404.19411

Kota Takeuchi

Kota Takeuchi, Tomohiro Inagaki

Trace conservation laws in $T^2/Z_m$ orbifold gauge theories

32 pages, 2 figures

null

10.1093/ptep/ptae082

HUPD-2402

hep-th hep-ph

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

Gauge theory compactified on an orbifold is defined by gauge symmetry, matter contents, and boundary conditions. There are equivalence classes (ECs), each of which consists of physically equivalent boundary conditions. We propose the powerful necessary conditions, trace conservation laws (TCLs), which achieve a sufficient classification of ECs in U(N) and SU(N) gauge theories on $T^2/Z_m$ orbifolds $(m=2,3,4,6)$. The TCLs yield the equivalent relations between the diagonal boundary conditions without relying on an explicit form of gauge transformations. The TCLs also show the existence of off-diagonal ECs, which consist only of off-diagonal matrices, on $T^2/Z_4$ and $T^2/Z_6$. After the sufficient classification, the exact numbers of ECs are obtained.

[ { "created": "Tue, 30 Apr 2024 10:00:03 GMT", "version": "v1" }, { "created": "Mon, 3 Jun 2024 13:03:50 GMT", "version": "v2" } ]

2024-06-05

[ [ "Takeuchi", "Kota", "" ], [ "Inagaki", "Tomohiro", "" ] ]

Gauge theory compactified on an orbifold is defined by gauge symmetry, matter contents, and boundary conditions. There are equivalence classes (ECs), each of which consists of physically equivalent boundary conditions. We propose the powerful necessary conditions, trace conservation laws (TCLs), which achieve a sufficient classification of ECs in U(N) and SU(N) gauge theories on $T^2/Z_m$ orbifolds $(m=2,3,4,6)$. The TCLs yield the equivalent relations between the diagonal boundary conditions without relying on an explicit form of gauge transformations. The TCLs also show the existence of off-diagonal ECs, which consist only of off-diagonal matrices, on $T^2/Z_4$ and $T^2/Z_6$. After the sufficient classification, the exact numbers of ECs are obtained.

8.799109

8.039873

8.435886

7.993676

8.19843

7.927092

8.348016

7.905137

8.112908

8.655181

7.801517

7.729845

8.037849

7.944493

8.290981

7.931563

7.976481

7.687909

7.937855

8.037798

7.890779

1112.1947

Olaf Lechtenfeld

Sergey Fedoruk, Evgeny Ivanov, Olaf Lechtenfeld

Superconformal mechanics

1+68 pages, invited review for Journal of Physics A; v2: revised text extended by 4 pages and 11 references, published version

null

10.1088/1751-8113/45/17/173001

null

hep-th math-ph math.MP

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

We survey the salient features and problems of conformal and superconformal mechanics and portray some of its developments over the past decade. Both classical and quantum issues of single- and multiparticle systems are covered.

[ { "created": "Thu, 8 Dec 2011 20:58:42 GMT", "version": "v1" }, { "created": "Tue, 13 Mar 2012 17:49:13 GMT", "version": "v2" } ]

2015-06-03

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

We survey the salient features and problems of conformal and superconformal mechanics and portray some of its developments over the past decade. Both classical and quantum issues of single- and multiparticle systems are covered.

12.671762

9.47837

11.998401

11.310399

10.506011

9.558477

10.290463

10.116526

10.590289

13.435829

11.061687

11.365545

14.323731

11.562551

11.455025

12.385583

12.017356

11.541408

12.074741

14.481059

11.310322

1509.07825

Souvik Pramanik

Souvik Pramanik and Subir Ghosh

AdS-CFT Correspondence in Noncommutative background, related thermodynamics and Holographic Superconductor in Magnetic Field

Minor changes, accepted in General Relativity and Gravitation

null

hep-th gr-qc

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

In this work, we formulate a Non-Commutative (NC) extension of AdS-CFT correspondence that is manifested in the modification of behavior of a holographic superconductor. The noncommutativity is introduced in the model through the NC corrected AdS charged black hole metric developed by Nicolini, Smailagic and Spallucci. First of all we discuss thermodynamic properties of this black hole in Euclidean formalism. In particular, we compute trace of the boundary energy-momentum tensor which, as expected, is non-zero due to the NC scale introduced in the model. Our findings indicate that the non-commutative effects tend to work against the black hole hair formation. This, in turn, has an adverse effect on the holographic superconductor by making the superconducting phase more fragile. This is reflected in the reduced value of the critical magnetic field and critical temperature. Finally, we comment on a qualitative agreement between our (holographic superconductor) result and that obtained for a conventional superconductor in NC space in a purely condensed matter scenario. In both cases noncommutativity tends to oppose the superconducting phase.

[ { "created": "Fri, 25 Sep 2015 18:30:35 GMT", "version": "v1" }, { "created": "Thu, 8 Oct 2015 12:00:28 GMT", "version": "v2" }, { "created": "Mon, 17 Oct 2016 11:17:36 GMT", "version": "v3" }, { "created": "Tue, 11 Dec 2018 12:51:19 GMT", "version": "v4" } ]

2018-12-12

[ [ "Pramanik", "Souvik", "" ], [ "Ghosh", "Subir", "" ] ]

In this work, we formulate a Non-Commutative (NC) extension of AdS-CFT correspondence that is manifested in the modification of behavior of a holographic superconductor. The noncommutativity is introduced in the model through the NC corrected AdS charged black hole metric developed by Nicolini, Smailagic and Spallucci. First of all we discuss thermodynamic properties of this black hole in Euclidean formalism. In particular, we compute trace of the boundary energy-momentum tensor which, as expected, is non-zero due to the NC scale introduced in the model. Our findings indicate that the non-commutative effects tend to work against the black hole hair formation. This, in turn, has an adverse effect on the holographic superconductor by making the superconducting phase more fragile. This is reflected in the reduced value of the critical magnetic field and critical temperature. Finally, we comment on a qualitative agreement between our (holographic superconductor) result and that obtained for a conventional superconductor in NC space in a purely condensed matter scenario. In both cases noncommutativity tends to oppose the superconducting phase.

7.747892

7.590248

7.461641

7.377065

7.12668

7.287317

7.857263

7.147326

7.027036

8.604853

7.299655

7.336527

7.539441

7.329786

7.150299

7.106578

7.167291

7.321776

7.461232

7.498438

7.452194

hep-th/9303104

Per Berglund

P. Berglund

Dimensionally Reduced Landau-Ginzburg Orbifolds with Discrete Torsion

10p, NSF-ITP-93-27, UTTG-07-93, use harvmac

Phys.Lett.B319:117-124,1993

10.1016/0370-2693(93)90790-O

null

hep-th

null

It is observed that a large class of $(2,2)$ string vacua with $n>5$ superfields can be rewritten as Landau_Ginzburg orbifolds with discrete torsion and $n=5$. The naive geometric interpretation (if one exists) would be that of a complex 3-fold, not necessarily K\"ahler but still with vanishing first Chern class.

[ { "created": "Thu, 18 Mar 1993 21:14:00 GMT", "version": "v1" } ]

2010-11-01

[ [ "Berglund", "P.", "" ] ]

It is observed that a large class of $(2,2)$ string vacua with $n>5$ superfields can be rewritten as Landau_Ginzburg orbifolds with discrete torsion and $n=5$. The naive geometric interpretation (if one exists) would be that of a complex 3-fold, not necessarily K\"ahler but still with vanishing first Chern class.

15.003078

11.324206

14.013312

10.759336

11.898238

11.155285

11.628149

11.365989

10.412618

14.441162

11.165447

11.402479

12.581942

11.475955

11.627162

11.847027

10.677751

11.30532

11.255094

13.166997

11.076267

2004.12613

David Corbino

Warped $AdS_{2}$ and $SU(1,1|4)$ symmetry in Type IIB

25 pages; v3: conclusion added, plus comments in Sections 2-4

null

10.1007/JHEP03(2021)060

null

hep-th

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

We investigate the existence of solutions with 16 supersymmetries to Type IIB supergravity on a spacetime of the form $AdS_{2}\times S^{5}\times S^{1}$ warped over a two-dimensional Riemann surface $\Sigma$. The existence of the Lie superalgebra $SU(1,1|4) \subset PSU(2,2|4)$, whose maximal bosonic subalgebra is $SO(2,1)\oplus SO(6)\oplus SO(2)$, motivates the search for half-BPS solutions with this isometry that are asymptotic to $AdS_{5} \times S^{5}$. We reduce the BPS equations to the Ansatz for the bosonic fields and supersymmetry generators compatible with these symmetries, then show that the only non-trivial solution is the maximally supersymmetric solution $AdS_{5}\times S^{5}$. We argue that this implies that no solutions exist for fully back-reacted D7 probe or D7/D3 intersecting branes whose near-horizon limit is of the form $AdS_{2}\times S^{5}\times S^{1}\times \Sigma$.

[ { "created": "Mon, 27 Apr 2020 07:23:01 GMT", "version": "v1" }, { "created": "Wed, 26 Aug 2020 20:55:43 GMT", "version": "v2" }, { "created": "Thu, 31 Dec 2020 16:02:48 GMT", "version": "v3" } ]

2021-03-23

[ [ "Corbino", "David", "" ] ]

We investigate the existence of solutions with 16 supersymmetries to Type IIB supergravity on a spacetime of the form $AdS_{2}\times S^{5}\times S^{1}$ warped over a two-dimensional Riemann surface $\Sigma$. The existence of the Lie superalgebra $SU(1,1|4) \subset PSU(2,2|4)$, whose maximal bosonic subalgebra is $SO(2,1)\oplus SO(6)\oplus SO(2)$, motivates the search for half-BPS solutions with this isometry that are asymptotic to $AdS_{5} \times S^{5}$. We reduce the BPS equations to the Ansatz for the bosonic fields and supersymmetry generators compatible with these symmetries, then show that the only non-trivial solution is the maximally supersymmetric solution $AdS_{5}\times S^{5}$. We argue that this implies that no solutions exist for fully back-reacted D7 probe or D7/D3 intersecting branes whose near-horizon limit is of the form $AdS_{2}\times S^{5}\times S^{1}\times \Sigma$.

4.291264

3.574001

5.127609

3.774223

3.900644

3.90548

3.766011

3.641998

3.637813

5.223632

3.84595

3.874621

4.2585

3.936812

3.89533

3.996469

3.846775

3.927303

3.972234

4.279528

3.938424

hep-th/9611142

Yamawaki

V. A. Miransky and Koichi Yamawaki

Conformal Phase Transition in Gauge Theories

44 pages (LaTex), 3 PostScript figures (need epsf.tex). One additional reference is added. The final version published in Physical Review D

Phys.Rev.D55:5051-5066,1997; Erratum-ibid.D56:3768,1997

10.1103/PhysRevD.55.5051 10.1103/PhysRevD.56.3768

null

hep-th hep-lat hep-ph

null

The conception of the conformal phase transiton (CPT), which is relevant for the description of non-perturbative dynamics in gauge theories, is introduced and elaborated. The main features of such a phase transition are established. In particular, it is shown that in the CPT there is an abrupt change of the spectrum of light excitations at the critical point, though the phase transition is continuous. The structure of the effective action describing the CPT is elaborated and its connection with the dynamics of the partially conserved dilatation current is pointed out. The applications of these results to QCD, models of dynamical electroweak symmetry breaking, and to the description of the phase diagram in (3+1)-dimensional $ SU(N_c)$ gauge theories are considered.

[ { "created": "Tue, 19 Nov 1996 06:51:58 GMT", "version": "v1" }, { "created": "Tue, 13 May 1997 09:23:59 GMT", "version": "v2" } ]

2014-11-18

[ [ "Miransky", "V. A.", "" ], [ "Yamawaki", "Koichi", "" ] ]

The conception of the conformal phase transiton (CPT), which is relevant for the description of non-perturbative dynamics in gauge theories, is introduced and elaborated. The main features of such a phase transition are established. In particular, it is shown that in the CPT there is an abrupt change of the spectrum of light excitations at the critical point, though the phase transition is continuous. The structure of the effective action describing the CPT is elaborated and its connection with the dynamics of the partially conserved dilatation current is pointed out. The applications of these results to QCD, models of dynamical electroweak symmetry breaking, and to the description of the phase diagram in (3+1)-dimensional $ SU(N_c)$ gauge theories are considered.

6.396243

6.237787

6.059876

5.926758

6.51926

6.172316

6.164441

5.872328

6.037353

5.630309

6.066198

6.014257

6.139482

5.847953

6.055581

5.914943

6.070086

6.036836

6.008952

6.121741

6.174616

2105.01686

Karapet Mkrtchyan

Joaquim Gomis, Euihun Joung, Axel Kleinschmidt and Karapet Mkrtchyan

Colourful Poincar\'e symmetry, gravity and particle actions

54 pages

J. High Energ. Phys. 2021, 47 (2021)

10.1007/JHEP08(2021)047

ICCUB-21-005, Imperial-TP-KM-2021-01

hep-th

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

We construct a generalisation of the three-dimensional Poincar\'e algebra that also includes a colour symmetry factor. This algebra can be used to define coloured Poincar\'e gravity in three space-time dimensions as well as to study generalisations of massive and massless free particle models. We present various such generalised particle models that differ in which orbits of the coloured Poincar\'e symmetry are described. Our approach can be seen as a stepping stone towards the description of particles interacting with a non-abelian background field or as a starting point for a worldline formulation of an associated quantum field theory.

[ { "created": "Tue, 4 May 2021 18:12:09 GMT", "version": "v1" }, { "created": "Thu, 9 Sep 2021 13:23:23 GMT", "version": "v2" } ]

2021-09-10

[ [ "Gomis", "Joaquim", "" ], [ "Joung", "Euihun", "" ], [ "Kleinschmidt", "Axel", "" ], [ "Mkrtchyan", "Karapet", "" ] ]

We construct a generalisation of the three-dimensional Poincar\'e algebra that also includes a colour symmetry factor. This algebra can be used to define coloured Poincar\'e gravity in three space-time dimensions as well as to study generalisations of massive and massless free particle models. We present various such generalised particle models that differ in which orbits of the coloured Poincar\'e symmetry are described. Our approach can be seen as a stepping stone towards the description of particles interacting with a non-abelian background field or as a starting point for a worldline formulation of an associated quantum field theory.

11.292538

10.899555

10.683982

9.274757

9.632646

10.097259

10.026663

9.447113

9.530099

11.300167

9.68525

10.320168

10.067874

9.664262

9.864277

9.706171

9.853743

9.455223

9.546149

10.158201

9.570072

1509.07049

Ivonne Zavala

Karta Kooner, Susha Parameswaran, Ivonne Zavala

Warping the Weak Gravity Conjecture

9 pages. Corrected powers of gs. Results unchanged. References added

null

10.1016/j.physletb.2016.05.082

LTH 1058

hep-th astro-ph.CO gr-qc

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

The Weak Gravity Conjecture, if valid, rules out simple models of Natural Inflation by restricting their axion decay constant to be sub-Planckian. We revisit stringy attempts to realise Natural Inflation, with a single open string axionic inflaton from D-branes in a warped throat. We show that warping allows the requisite super-Planckian axion decay constant to be achieved consistently with the Weak Gravity Conjecture. However, there is a tension between large axion decay constant and high string scale, where the requisite high string scale is difficult to achieve in all attempts to realise large field inflation using perturbative string theory. We comment on the Generalized Weak Gravity Conjecture in the light of our results.

[ { "created": "Wed, 23 Sep 2015 16:19:34 GMT", "version": "v1" }, { "created": "Fri, 16 Oct 2015 12:13:36 GMT", "version": "v2" } ]

2016-06-29

[ [ "Kooner", "Karta", "" ], [ "Parameswaran", "Susha", "" ], [ "Zavala", "Ivonne", "" ] ]

The Weak Gravity Conjecture, if valid, rules out simple models of Natural Inflation by restricting their axion decay constant to be sub-Planckian. We revisit stringy attempts to realise Natural Inflation, with a single open string axionic inflaton from D-branes in a warped throat. We show that warping allows the requisite super-Planckian axion decay constant to be achieved consistently with the Weak Gravity Conjecture. However, there is a tension between large axion decay constant and high string scale, where the requisite high string scale is difficult to achieve in all attempts to realise large field inflation using perturbative string theory. We comment on the Generalized Weak Gravity Conjecture in the light of our results.

8.167645

7.863284

7.79136

7.143409

7.648698

8.296949

7.82062

7.351111

7.316635

8.307294

7.552318

7.568803

7.468346

7.412558

7.687245

7.420934

7.625268

7.444923

7.612743

7.520185

7.224162

hep-th/9405155

Michael Dine

M. Dine and Y. Shirman

Some Explorations in Holomorphy

(26 pages and 2 figures as one uuencoded PostScript file) SCIPP 94/11. Important references added; typos corrected

Phys.Rev. D50 (1994) 5389-5397

10.1103/PhysRevD.50.5389

null

hep-th hep-ph

null

In supersymmetric theories, one can obtain striking results and insights by exploiting the fact that the superpotential and the gauge coupling function are holomorphic functions of the model parameters. The precise meaning of this holomorphy is subtle, and has been explained most clearly by Shifman and Vainshtein, who have stressed the role of the Wilsonian effective action. In this note, we elaborate on the Shifman-Vainshtein program, applying it to examples in grand unification, supersymmetric QCD and string theory. We stress that among the ``model parameters" are the cutoffs used to define the Wilsonian action itself, and that generically these must be defined in a field-dependent manner to obtain holomorphic results.

[ { "created": "Wed, 25 May 1994 00:53:45 GMT", "version": "v1" }, { "created": "Mon, 30 May 1994 06:00:59 GMT", "version": "v2" } ]

2009-10-28

[ [ "Dine", "M.", "" ], [ "Shirman", "Y.", "" ] ]

In supersymmetric theories, one can obtain striking results and insights by exploiting the fact that the superpotential and the gauge coupling function are holomorphic functions of the model parameters. The precise meaning of this holomorphy is subtle, and has been explained most clearly by Shifman and Vainshtein, who have stressed the role of the Wilsonian effective action. In this note, we elaborate on the Shifman-Vainshtein program, applying it to examples in grand unification, supersymmetric QCD and string theory. We stress that among the ``model parameters" are the cutoffs used to define the Wilsonian action itself, and that generically these must be defined in a field-dependent manner to obtain holomorphic results.

7.70224

8.175031

8.483943

7.623119

8.225089

8.439191

8.149046

7.644337

7.886927

8.70197

7.926507

7.03082

7.627837

7.593546

7.467334

7.26422

7.335686

7.09272

7.449487

7.761545

7.601321

0802.3015

Mukund Rangamani

James Lucietti and Mukund Rangamani

Asymptotic counting of BPS operators in superconformal field theories

39 pages latex. v2: minor improvements, reference added

J.Math.Phys.49:082301,2008

10.1063/1.2970775

null

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

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

We consider some aspects of counting BPS operators which are annihilated by two supercharges, in superconformal field theories. For non-zero coupling, the corresponding multi-variable partition functions can be written in terms of generating functions for vector partitions or their weighted generalisations. We derive asymptotics for the density of states for a wide class of such multi-variable partition functions. We also point out a particular factorisation property of the finite N partition functions. Finally, we discuss the concept of a limit curve arising from the large N partition functions, which is related to the notion of a typical state and discuss some implications for the holographic duals.

[ { "created": "Thu, 21 Feb 2008 11:10:52 GMT", "version": "v1" }, { "created": "Thu, 28 Feb 2008 14:29:27 GMT", "version": "v2" } ]

2008-11-26

[ [ "Lucietti", "James", "" ], [ "Rangamani", "Mukund", "" ] ]

We consider some aspects of counting BPS operators which are annihilated by two supercharges, in superconformal field theories. For non-zero coupling, the corresponding multi-variable partition functions can be written in terms of generating functions for vector partitions or their weighted generalisations. We derive asymptotics for the density of states for a wide class of such multi-variable partition functions. We also point out a particular factorisation property of the finite N partition functions. Finally, we discuss the concept of a limit curve arising from the large N partition functions, which is related to the notion of a typical state and discuss some implications for the holographic duals.

11.86012

11.087411

12.923397

10.76655

10.749773

10.94379

11.763883

10.999772

10.452915

14.230424

10.689493

11.513021

12.172736

11.412694

11.703079

11.208682

11.254296

11.255796

11.438314

12.395757

11.172833

2203.11954

Jonah Kudler-Flam

Jonah Kudler-Flam and Pratik Rath

Large and Small Corrections to the JLMS Formula from Replica Wormholes

v1: 23 pages, 6 figures, lots of mini-figures; v2: minor clarifications, references added

null

10.1007/JHEP08(2022)189

null

hep-th gr-qc quant-ph

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

The JLMS formula relates the bulk and boundary relative entropies and is fundamental to the holographic dictionary, providing justification for entanglement wedge reconstruction. We revisit the replica trick for relative entropy and find corrections of the JLMS formula in a variety of scenarios, even after accounting for effects of quantum extremality. We analyze the problem in the PSSY model, a model of Jackiw-Teitelboim gravity coupled to end-of-the-world branes. We find non-perturbative (in $G$) corrections that are always present, arising from subdominant replica wormhole gravitational saddles that indicate the approximate error-correcting nature of AdS/CFT. Near entanglement phase transitions, these saddles can get enhanced to large corrections. We find $O\left(G^{-1/2}\right)$ corrections arising from area fluctuations and $O\left(G^{-1}\right)$ corrections from incompressible bulk quantum states. Lastly, we find our most surprising result, an infinite violation of the JLMS formula after the Page time arising from a rank deficiency in the bulk entanglement spectrum. We discuss similar calculations in tensor networks and comment on the implications for bulk reconstruction.

[ { "created": "Tue, 22 Mar 2022 18:00:01 GMT", "version": "v1" }, { "created": "Thu, 2 Jun 2022 13:52:56 GMT", "version": "v2" }, { "created": "Tue, 12 Jul 2022 05:49:34 GMT", "version": "v3" } ]

2022-09-07

[ [ "Kudler-Flam", "Jonah", "" ], [ "Rath", "Pratik", "" ] ]

The JLMS formula relates the bulk and boundary relative entropies and is fundamental to the holographic dictionary, providing justification for entanglement wedge reconstruction. We revisit the replica trick for relative entropy and find corrections of the JLMS formula in a variety of scenarios, even after accounting for effects of quantum extremality. We analyze the problem in the PSSY model, a model of Jackiw-Teitelboim gravity coupled to end-of-the-world branes. We find non-perturbative (in $G$) corrections that are always present, arising from subdominant replica wormhole gravitational saddles that indicate the approximate error-correcting nature of AdS/CFT. Near entanglement phase transitions, these saddles can get enhanced to large corrections. We find $O\left(G^{-1/2}\right)$ corrections arising from area fluctuations and $O\left(G^{-1}\right)$ corrections from incompressible bulk quantum states. Lastly, we find our most surprising result, an infinite violation of the JLMS formula after the Page time arising from a rank deficiency in the bulk entanglement spectrum. We discuss similar calculations in tensor networks and comment on the implications for bulk reconstruction.

13.193934

12.482665

14.215158

11.478761

12.453748

12.17648

12.033326

11.882757

11.872331

15.004412

11.536137

12.249278

13.222582

12.185925

12.874047

12.273182

12.771613

12.13723

12.516119

13.027461

12.025628

1605.07639

Matthew Heydeman

Matthew Heydeman, Matilde Marcolli, Ingmar Saberi, and Bogdan Stoica

Tensor networks, $p$-adic fields, and algebraic curves: arithmetic and the AdS$_3$/CFT$_2$ correspondence

67 pp., 12 figures. Comments are welcome!

null

CALT-TH 2016-013

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

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

One of the many remarkable properties of conformal field theory in two dimensions is its connection to algebraic geometry. Since every compact Riemann surface is a projective algebraic curve, many constructions of interest in physics (which a priori depend on the analytic structure of the spacetime) can be formulated in purely algebraic language. This opens the door to interesting generalizations, obtained by taking another choice of field: for instance, the $p$-adics. We generalize the AdS/CFT correspondence according to this principle; the result is a formulation of holography in which the bulk geometry is discrete---the Bruhat--Tits tree for $\mathrm{PGL}(2,\mathbb{Q}_p)$---but the group of bulk isometries nonetheless agrees with that of boundary conformal transformations and is not broken by discretization. We suggest that this forms the natural geometric setting for tensor networks that have been proposed as models of bulk reconstruction via quantum error correcting codes; in certain cases, geodesics in the Bruhat--Tits tree reproduce those constructed using quantum error correction. Other aspects of holography also hold: Standard holographic results for massive free scalar fields in a fixed background carry over to the tree, whose vertical direction can be interpreted as a renormalization-group scale for modes in the boundary CFT. Higher-genus bulk geometries (the BTZ black hole and its generalizations) can be understood straightforwardly in our setting, and the Ryu-Takayanagi formula for the entanglement entropy appears naturally.

[ { "created": "Tue, 24 May 2016 20:07:53 GMT", "version": "v1" }, { "created": "Mon, 3 Jul 2017 22:12:38 GMT", "version": "v2" } ]

2017-07-05

[ [ "Heydeman", "Matthew", "" ], [ "Marcolli", "Matilde", "" ], [ "Saberi", "Ingmar", "" ], [ "Stoica", "Bogdan", "" ] ]

One of the many remarkable properties of conformal field theory in two dimensions is its connection to algebraic geometry. Since every compact Riemann surface is a projective algebraic curve, many constructions of interest in physics (which a priori depend on the analytic structure of the spacetime) can be formulated in purely algebraic language. This opens the door to interesting generalizations, obtained by taking another choice of field: for instance, the $p$-adics. We generalize the AdS/CFT correspondence according to this principle; the result is a formulation of holography in which the bulk geometry is discrete---the Bruhat--Tits tree for $\mathrm{PGL}(2,\mathbb{Q}_p)$---but the group of bulk isometries nonetheless agrees with that of boundary conformal transformations and is not broken by discretization. We suggest that this forms the natural geometric setting for tensor networks that have been proposed as models of bulk reconstruction via quantum error correcting codes; in certain cases, geodesics in the Bruhat--Tits tree reproduce those constructed using quantum error correction. Other aspects of holography also hold: Standard holographic results for massive free scalar fields in a fixed background carry over to the tree, whose vertical direction can be interpreted as a renormalization-group scale for modes in the boundary CFT. Higher-genus bulk geometries (the BTZ black hole and its generalizations) can be understood straightforwardly in our setting, and the Ryu-Takayanagi formula for the entanglement entropy appears naturally.

7.568197

9.019105

9.247626

8.449198

8.5837

9.260152

8.630413

8.646792

8.517118

10.18082

8.089629

7.989126

8.105805

7.994722

8.010486

7.985519

8.071473

7.944509

7.793326

8.328331

7.973757

1111.1723

Antonio Amariti

Antonio Amariti, Claudius Klare, Massimo Siani

The Large N Limit of Toric Chern-Simons Matter Theories and Their Duals

40 pages, 7 figures, using jheppub.sty, references added

null

10.1007/JHEP10(2012)019

null

hep-th

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

We compute the large N limit of the localized three dimensional free energy of various field theories with known proposed AdS duals. We show that vector-like theories agree with the expected supergravity results, and with the conjectured F-theorem. We also check that the large N free energy is preserved by the three dimensional Seiberg duality for general classes of vector like theories. Then we analyze the behavior of the free energy of chiral-like theories by applying a new proposal. The proposal is based on the restoration of a discrete symmetry on the free energy before the extremization. We apply this procedure at strong coupling in some examples and we discuss the results. We conclude the paper by proposing an alternative geometrical expression for the free energy.

[ { "created": "Mon, 7 Nov 2011 21:00:01 GMT", "version": "v1" }, { "created": "Mon, 5 Dec 2011 17:22:13 GMT", "version": "v2" } ]

2015-06-03

[ [ "Amariti", "Antonio", "" ], [ "Klare", "Claudius", "" ], [ "Siani", "Massimo", "" ] ]

We compute the large N limit of the localized three dimensional free energy of various field theories with known proposed AdS duals. We show that vector-like theories agree with the expected supergravity results, and with the conjectured F-theorem. We also check that the large N free energy is preserved by the three dimensional Seiberg duality for general classes of vector like theories. Then we analyze the behavior of the free energy of chiral-like theories by applying a new proposal. The proposal is based on the restoration of a discrete symmetry on the free energy before the extremization. We apply this procedure at strong coupling in some examples and we discuss the results. We conclude the paper by proposing an alternative geometrical expression for the free energy.

13.004827

11.569705

14.422819

12.018618

12.904981

12.301929

11.49922

11.197792

12.001027

14.436514

11.967635

11.903874

13.493864

12.227971

11.683065

11.92519

11.792166

12.013906

11.868753

13.847507

12.001866

hep-th/9611009

null

A. Aghamohammadi, A. Alimohammadi, M. Khorrami

A pseudo-conformal representation of the Virasoro algebra

LaTex, 5 pages

Mod.Phys.Lett. A12 (1997) 1349-1353

10.1142/S0217732397001369

null

hep-th

null

Generalizing the concept of primary fields, we find a new representation of the Virasoro algebra, which we call it a pseudo-conformal representation. In special cases, this representation reduces to ordinary- or logarithmic-conformal field theory. There are, however, other cases in which the Green functions differ from those of ordinary- or logarithmic-conformal field theories. This representation is parametrized by two matrices. We classify these two matrices, and calculate some of the correlators for a simple example.

[ { "created": "Sat, 2 Nov 1996 07:48:26 GMT", "version": "v1" } ]

2015-06-26

[ [ "Aghamohammadi", "A.", "" ], [ "Alimohammadi", "A.", "" ], [ "Khorrami", "M.", "" ] ]

Generalizing the concept of primary fields, we find a new representation of the Virasoro algebra, which we call it a pseudo-conformal representation. In special cases, this representation reduces to ordinary- or logarithmic-conformal field theory. There are, however, other cases in which the Green functions differ from those of ordinary- or logarithmic-conformal field theories. This representation is parametrized by two matrices. We classify these two matrices, and calculate some of the correlators for a simple example.

8.842476

8.244238

9.008341

7.35312

7.45819

7.072627

7.994425

7.151897

7.562072

9.189613

7.979153

7.726589

8.300126

7.664492

7.592537

7.595236

7.568807

7.457325

7.665802

7.960853

7.459928

0901.0599

Shesansu Pal

Anisotropic gravity solutions in AdS/CMT

1+16 pp, v2 typos corrected; v3 signs in the generator of scaling corrected

null

hep-th

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

We have constructed gravity solutions by breaking the Lorentzian symmetry to its subgroup, which means there is Galilean symmetry but without the rotational and boost invariance. This solution shows anisotropic behavior along both the temporal and spatial directions as well as among the spatial directions and more interestingly, it displays the precise scaling symmetry required for metric as well as the form fields. From the field theory point of view, it describes a theory which respects th5Ae scaling symmetry, $t\to \lambda^{z_1}t, x\to \lambda^{z_2}t, y\to \lambda y$, for $z_1\neq z_2$, as well as the translational symmetry associated to both time and space directions, which means we have found a non-rotational but Lifshitz-like fixed points from the dual field theory point of view. We also discuss the minimum number of generators required to see the appearance of such Lifshitz points. In 1+1 dimensional field theory, it is 3 and for 2+1 dimensional field theory, the number is 4.

[ { "created": "Tue, 6 Jan 2009 07:26:00 GMT", "version": "v1" }, { "created": "Thu, 29 Jan 2009 10:30:56 GMT", "version": "v2" }, { "created": "Mon, 25 Oct 2010 10:03:51 GMT", "version": "v3" } ]

2010-10-26

[ [ "Pal", "Shesansu", "" ] ]

We have constructed gravity solutions by breaking the Lorentzian symmetry to its subgroup, which means there is Galilean symmetry but without the rotational and boost invariance. This solution shows anisotropic behavior along both the temporal and spatial directions as well as among the spatial directions and more interestingly, it displays the precise scaling symmetry required for metric as well as the form fields. From the field theory point of view, it describes a theory which respects th5Ae scaling symmetry, $t\to \lambda^{z_1}t, x\to \lambda^{z_2}t, y\to \lambda y$, for $z_1\neq z_2$, as well as the translational symmetry associated to both time and space directions, which means we have found a non-rotational but Lifshitz-like fixed points from the dual field theory point of view. We also discuss the minimum number of generators required to see the appearance of such Lifshitz points. In 1+1 dimensional field theory, it is 3 and for 2+1 dimensional field theory, the number is 4.

10.055663

10.070648

10.482064

9.796387

10.296371

10.581326

10.889729

9.798183

9.286896

11.005827

9.440757

9.644756

9.901009

9.461374

9.876522

9.892825

9.940592

9.789059

9.499837

10.034468

9.585239

2006.04254

Mert Mangut

Huriye G\"ursel, M. Mangut and \.Izzet Sakall{\i}

Holographic Dissipative Properties of Non-relativistic Black Branes with Hyperscaling Violation

15 pages, 3 figures

The European Physical Journal Plus ( Eur. Phys. J. Plus 136, 9 (2021) )

10.1140/epjp/s13360-020-00993-6

null

hep-th

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

In this work, we consider a class of hyperscaling violating Lifshitz-like black branes with metric scaling components $z=2$ and $\theta=-1$ whose corresponding holographic model can be treated as a non-relativistic fluid exhibiting Lifshitz-type symmetry. Having performed analytical calculations via the Klein-Gordon equation and the linear response theory, the experimental realizations of the concerned model, namely the transport coefficients, are found to behave as $\eta \propto T^{3/2}$, $\sigma_{DC} \propto T^{3/2}$, and $\rho_{DC} \propto T^{-3/2}$. The associated metric scaling exponents from the bulk theory are encrypted in the transport coefficients obtained for the holographic dual model. We believe that our analytical results can contribute to the endeavours in accomplishing a full understanding on the strongly coupled phenomena occurring in systems such as high temperature superconductors, the hypothetical magnetic monopoles, and liquid crystals.

[ { "created": "Sun, 7 Jun 2020 20:30:48 GMT", "version": "v1" } ]

2021-01-05

[ [ "Gürsel", "Huriye", "" ], [ "Mangut", "M.", "" ], [ "Sakallı", "İzzet", "" ] ]

In this work, we consider a class of hyperscaling violating Lifshitz-like black branes with metric scaling components $z=2$ and $\theta=-1$ whose corresponding holographic model can be treated as a non-relativistic fluid exhibiting Lifshitz-type symmetry. Having performed analytical calculations via the Klein-Gordon equation and the linear response theory, the experimental realizations of the concerned model, namely the transport coefficients, are found to behave as $\eta \propto T^{3/2}$, $\sigma_{DC} \propto T^{3/2}$, and $\rho_{DC} \propto T^{-3/2}$. The associated metric scaling exponents from the bulk theory are encrypted in the transport coefficients obtained for the holographic dual model. We believe that our analytical results can contribute to the endeavours in accomplishing a full understanding on the strongly coupled phenomena occurring in systems such as high temperature superconductors, the hypothetical magnetic monopoles, and liquid crystals.

9.802033

10.432749

10.829222

9.262605

9.730945

10.166422

10.132651

9.380306

9.090276

10.38855

9.628613

9.090094

9.51146

8.925137

8.786723

9.035873

9.222128

9.087448

9.340774

9.291743

8.843443

1112.3989

Charles Strickland-Constable

Andr\'e Coimbra, Charles Strickland-Constable and Daniel Waldram

$E_{d(d)} \times \mathbb{R}^+$ Generalised Geometry, Connections and M theory

43 pages

null

Imperial/TP/11/DW/02

hep-th math.DG

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

We show that generalised geometry gives a unified description of bosonic eleven-dimensional supergravity restricted to a $d$-dimensional manifold for all $d\leq7$. The theory is based on an extended tangent space which admits a natural $E_{d(d)} \times \mathbb{R}^+$ action. The bosonic degrees of freedom are unified as a "generalised metric", as are the diffeomorphism and gauge symmetries, while the local $O(d)$ symmetry is promoted to $H_d$, the maximally compact subgroup of $E_{d(d)}$. We introduce the analogue of the Levi--Civita connection and the Ricci tensor and show that the bosonic action and equations of motion are simply given by the generalised Ricci scalar and the vanishing of the generalised Ricci tensor respectively. The formalism also gives a unified description of the bosonic NSNS and RR sectors of type II supergravity in $d-1$ dimensions. Locally the formulation also describes M theory variants of double field theory and we derive the corresponding section condition in general dimension. We comment on the relation to other approaches to M theory with $E_{d(d)}$ symmetry, as well as the connections to flux compactifications and the embedding tensor formalism.

[ { "created": "Fri, 16 Dec 2011 22:38:06 GMT", "version": "v1" }, { "created": "Mon, 16 Dec 2013 10:33:34 GMT", "version": "v2" } ]

2013-12-17

[ [ "Coimbra", "André", "" ], [ "Strickland-Constable", "Charles", "" ], [ "Waldram", "Daniel", "" ] ]

We show that generalised geometry gives a unified description of bosonic eleven-dimensional supergravity restricted to a $d$-dimensional manifold for all $d\leq7$. The theory is based on an extended tangent space which admits a natural $E_{d(d)} \times \mathbb{R}^+$ action. The bosonic degrees of freedom are unified as a "generalised metric", as are the diffeomorphism and gauge symmetries, while the local $O(d)$ symmetry is promoted to $H_d$, the maximally compact subgroup of $E_{d(d)}$. We introduce the analogue of the Levi--Civita connection and the Ricci tensor and show that the bosonic action and equations of motion are simply given by the generalised Ricci scalar and the vanishing of the generalised Ricci tensor respectively. The formalism also gives a unified description of the bosonic NSNS and RR sectors of type II supergravity in $d-1$ dimensions. Locally the formulation also describes M theory variants of double field theory and we derive the corresponding section condition in general dimension. We comment on the relation to other approaches to M theory with $E_{d(d)}$ symmetry, as well as the connections to flux compactifications and the embedding tensor formalism.

5.568783

5.158133

6.089278

5.580014

5.336635

5.259368

5.891098

5.180634

5.10144

6.581385

5.176136

5.22887

5.494941

5.182704

5.27092

5.148894

5.336843

5.168889

5.299546

5.575647

5.275331

hep-th/9503121

Matt Strassler

Robert G. Leigh and Matthew J. Strassler (Rutgers University)

Exactly Marginal Operators and Duality in Four Dimensional N=1 Supersymmetric Gauge Theory

35 pages, 7 Postscript figures, uses revtex.sty (revised version corrects some important details, tex problems)

Nucl.Phys. B447 (1995) 95-136

10.1016/0550-3213(95)00261-P

RU-95-2

hep-th

null

We show that manifolds of fixed points, which are generated by exactly marginal operators, are common in N=1 supersymmetric gauge theory. We present a unified and simple prescription for identifying these operators, using tools similar to those employed in two-dimensional N=2 supersymmetry. In particular we rely on the work of Shifman and Vainshtein relating the $\bt$-function of the gauge coupling to the anomalous dimensions of the matter fields. Finite N=1 models, which have marginal operators at zero coupling, are easily identified using our approach. The method can also be employed to find manifolds of fixed points which do not include the free theory; these are seen in certain models with product gauge groups and in many non-renormalizable effective theories. For a number of our models, S-duality may have interesting implications. Using the fact that relevant perturbations often cause one manifold of fixed points to flow to another, we propose a specific mechanism through which the N=1 duality discovered by Seiberg could be associated with the duality of finite N=2 models.

[ { "created": "Mon, 20 Mar 1995 08:37:27 GMT", "version": "v1" } ]

2009-10-28

[ [ "Leigh", "Robert G.", "", "Rutgers University" ], [ "Strassler", "Matthew J.", "", "Rutgers University" ] ]

We show that manifolds of fixed points, which are generated by exactly marginal operators, are common in N=1 supersymmetric gauge theory. We present a unified and simple prescription for identifying these operators, using tools similar to those employed in two-dimensional N=2 supersymmetry. In particular we rely on the work of Shifman and Vainshtein relating the $\bt$-function of the gauge coupling to the anomalous dimensions of the matter fields. Finite N=1 models, which have marginal operators at zero coupling, are easily identified using our approach. The method can also be employed to find manifolds of fixed points which do not include the free theory; these are seen in certain models with product gauge groups and in many non-renormalizable effective theories. For a number of our models, S-duality may have interesting implications. Using the fact that relevant perturbations often cause one manifold of fixed points to flow to another, we propose a specific mechanism through which the N=1 duality discovered by Seiberg could be associated with the duality of finite N=2 models.

9.960504

10.569504

9.803696

9.871721

10.517159

10.747976

10.664581

9.628175

10.058001

10.522972

9.341961

9.346714

9.556629

9.400476

9.391774

9.846392

9.515584

9.637479

9.426872

9.416383

9.156563

2103.15301

Vladimir Rosenhaus

David J. Gross and Vladimir Rosenhaus

Chaotic scattering of highly excited strings

65 pages, 11 figures; published version

null

10.1007/JHEP05(2021)048

null

hep-th cond-mat.stat-mech nlin.CD

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

Motivated by the desire to understand chaos in the $S$-matrix of string theory, we study tree level scattering amplitudes involving highly excited strings. While the amplitudes for scattering of light strings have been a hallmark of string theory since its early days, scattering of excited strings has been far less studied. Recent results on black hole chaos, combined with the correspondence principle between black holes and strings, suggest that the amplitudes have a rich structure. We review the procedure by which an excited string is formed by repeatedly scattering photons off of an initial tachyon (the DDF formalism). We compute the scattering amplitude of one arbitrary excited string and any number of tachyons in bosonic string theory. At high energies and high mass excited state these amplitudes are determined by a saddle-point in the integration over the positions of the string vertex operators on the sphere (or the upper half plane), thus yielding a generalization of the "scattering equations". We find a compact expression for the amplitude of an excited string decaying into two tachyons, and study its properties for a generic excited string. We find the amplitude is highly erratic as a function of both the precise excited string state and of the tachyon scattering angle relative to its polarization, a sign of chaos.

[ { "created": "Mon, 29 Mar 2021 03:14:01 GMT", "version": "v1" }, { "created": "Wed, 16 Jun 2021 21:32:45 GMT", "version": "v2" } ]

2021-06-18

[ [ "Gross", "David J.", "" ], [ "Rosenhaus", "Vladimir", "" ] ]

Motivated by the desire to understand chaos in the $S$-matrix of string theory, we study tree level scattering amplitudes involving highly excited strings. While the amplitudes for scattering of light strings have been a hallmark of string theory since its early days, scattering of excited strings has been far less studied. Recent results on black hole chaos, combined with the correspondence principle between black holes and strings, suggest that the amplitudes have a rich structure. We review the procedure by which an excited string is formed by repeatedly scattering photons off of an initial tachyon (the DDF formalism). We compute the scattering amplitude of one arbitrary excited string and any number of tachyons in bosonic string theory. At high energies and high mass excited state these amplitudes are determined by a saddle-point in the integration over the positions of the string vertex operators on the sphere (or the upper half plane), thus yielding a generalization of the "scattering equations". We find a compact expression for the amplitude of an excited string decaying into two tachyons, and study its properties for a generic excited string. We find the amplitude is highly erratic as a function of both the precise excited string state and of the tachyon scattering angle relative to its polarization, a sign of chaos.

9.368735

9.190998

10.320082

8.912113

9.733803

10.007143

9.198069

8.900005

8.939126

10.740266

8.946447

8.783996

9.352312

9.079753

8.88471

8.872639

8.898802

8.633327

9.134403

9.150443

8.771061

1405.4901

Stefanos Katmadas

Static BPS black holes in U(1) gauged supergravity

v3: 25 pages, notes on the dimensionality of the parameter space added, references added

null

10.1007/JHEP09(2014)027

null

hep-th

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

We consider the flow equations for $1/4$-BPS asymptotically AdS$_4$ static black holes in Fayet-Iliopoulos gauged supergravity, using very special geometry identities to obtain a simplified form in the most general case. Under mild assumptions on the form of the solution, we analyse the flow equations and find an explicit solution for arbitrary gauging and charge vectors within the chosen ansatz. Comparing with the corresponding attractor equations, we find that the solution is given in terms of exactly the same vector of parameters, implying that all regular attractors can be extended to full black hole solutions. We present explicit examples of black hole solutions with all complex scalars and charges allowed by the ansatz turned on, within the STU model and its truncations.

[ { "created": "Mon, 19 May 2014 21:47:47 GMT", "version": "v1" }, { "created": "Mon, 26 May 2014 18:41:26 GMT", "version": "v2" }, { "created": "Mon, 8 Sep 2014 17:45:32 GMT", "version": "v3" } ]

2015-06-19

[ [ "Katmadas", "Stefanos", "" ] ]

We consider the flow equations for $1/4$-BPS asymptotically AdS$_4$ static black holes in Fayet-Iliopoulos gauged supergravity, using very special geometry identities to obtain a simplified form in the most general case. Under mild assumptions on the form of the solution, we analyse the flow equations and find an explicit solution for arbitrary gauging and charge vectors within the chosen ansatz. Comparing with the corresponding attractor equations, we find that the solution is given in terms of exactly the same vector of parameters, implying that all regular attractors can be extended to full black hole solutions. We present explicit examples of black hole solutions with all complex scalars and charges allowed by the ansatz turned on, within the STU model and its truncations.

9.257627

10.090939

10.663562

8.854395

9.197518

9.594356

9.14365

8.668381

9.251457

11.313928

8.854192

9.276687

9.905648

9.166912

9.208269

9.162675

8.975535

9.318483

9.257538

10.288089

9.172249

2007.12555

Jan Naudts

Gauge transformations of a relativistic field of quantum harmonic oscillators

A4, 17 pages; Accepted for publication in Reports on Mathematical Physics

Rep. Math. Phys. 87, 15 - 30 (2021)

null

hep-th

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

A set of gauge transformations of a relativistic field of quantum harmonic oscillators is studied in a mathematically rigorous manner. Each wave function in the domain of the number operator of a single oscillator generates a Frechet-differentiable field of wave functions. Starting from a coherent wave function one obtains a two-dimensional differentiable manifold of coherent vector states. As an illustration it is shown that the gauge transformation can be chosen in such a way that the resulting fields describe a freely-propagating wave.

[ { "created": "Wed, 1 Jul 2020 07:02:31 GMT", "version": "v1" } ]

2022-01-06

[ [ "Naudts", "Jan", "" ] ]

A set of gauge transformations of a relativistic field of quantum harmonic oscillators is studied in a mathematically rigorous manner. Each wave function in the domain of the number operator of a single oscillator generates a Frechet-differentiable field of wave functions. Starting from a coherent wave function one obtains a two-dimensional differentiable manifold of coherent vector states. As an illustration it is shown that the gauge transformation can be chosen in such a way that the resulting fields describe a freely-propagating wave.

13.42719

15.343774

14.289577

13.036817

15.304308

14.725651

15.400116

13.722534

13.629022

13.470384

13.794774

13.65903

13.098171

13.08187

13.178089

13.850392

14.473273

12.812446

13.842644

12.914289

13.213968

hep-th/9707029

Dr G. A. Jaroszkiewicz

Keith Norton and George Jaroszkiewicz (Mathematics Department, Nottingham University, UK)

Principles of Discrete Time Mechanics: III. Quantum Field Theory

29 pages LateX+5 figures, published version with discussion of discretisation frame

J.Phys.A31:977-1000,1998

10.1088/0305-4470/31/3/011

null

hep-th quant-ph

null

We apply the principles discussed in earlier papers to the construction of discrete time quantum field theories. We use the Schwinger action principle to find the discrete time free field commutators for scalar fields, which allows us to set up the reduction formalism for discrete time scattering processes. Then we derive the discrete time analogue of the Feynman rules for a scalar field with a cubic self interaction and give examples of discrete time scattering amplitude calculations. We find overall conservation of total linear momentum and overall conservation of total theta parameters, which is the discrete time analogue of energy conservation and corresponds to the existence of a Logan invariant for the system. We find that temporal discretisation leads to softened vertex factors, modifies propagators and gives a natural cutoff for physical particle momenta.

[ { "created": "Wed, 2 Jul 1997 12:19:18 GMT", "version": "v1" }, { "created": "Tue, 20 Jan 1998 15:05:04 GMT", "version": "v2" } ]

2008-11-26

[ [ "Norton", "Keith", "", "Mathematics Department,\n Nottingham University, UK" ], [ "Jaroszkiewicz", "George", "", "Mathematics Department,\n Nottingham University, UK" ] ]

We apply the principles discussed in earlier papers to the construction of discrete time quantum field theories. We use the Schwinger action principle to find the discrete time free field commutators for scalar fields, which allows us to set up the reduction formalism for discrete time scattering processes. Then we derive the discrete time analogue of the Feynman rules for a scalar field with a cubic self interaction and give examples of discrete time scattering amplitude calculations. We find overall conservation of total linear momentum and overall conservation of total theta parameters, which is the discrete time analogue of energy conservation and corresponds to the existence of a Logan invariant for the system. We find that temporal discretisation leads to softened vertex factors, modifies propagators and gives a natural cutoff for physical particle momenta.

14.848136

14.010536

15.29706

13.414173

14.478167

14.445945

14.109337

13.989491

14.202761

16.433464

14.108284

13.96282

14.702606

13.954191

14.599205

13.938665

13.624622

14.12156

13.991012

14.504279

13.802689

0709.1447

Christoph Luhn

Christoph Luhn, Salah Nasri, Pierre Ramond

Simple Finite Non-Abelian Flavor Groups

42 pages, matches published version, references added

J.Math.Phys.48:123519,2007

10.1063/1.2823978

UFIFT-HEP-07-13

hep-th hep-ph

null

The recently measured unexpected neutrino mixing patterns have caused a resurgence of interest in the study of finite flavor groups with two- and three-dimensional irreducible representations. This paper details the mathematics of the two finite simple groups with such representations, the Icosahedral group A_5, a subgroup of SO(3), and PSL_2(7), a subgroup of SU(3).

[ { "created": "Mon, 10 Sep 2007 18:43:07 GMT", "version": "v1" }, { "created": "Wed, 12 Dec 2007 16:51:51 GMT", "version": "v2" } ]

2008-11-26

[ [ "Luhn", "Christoph", "" ], [ "Nasri", "Salah", "" ], [ "Ramond", "Pierre", "" ] ]

The recently measured unexpected neutrino mixing patterns have caused a resurgence of interest in the study of finite flavor groups with two- and three-dimensional irreducible representations. This paper details the mathematics of the two finite simple groups with such representations, the Icosahedral group A_5, a subgroup of SO(3), and PSL_2(7), a subgroup of SU(3).

8.481503

10.01201

8.500525

7.591143

8.181709

11.279455

9.074039

8.413158

7.407024

8.754924

8.237887

8.536658

8.077797

8.034357

7.923521

8.311628

8.125685

8.721935

7.783525

8.004432

7.955159

1807.02393

Bojan Nikoli\'c

Bojan Nikolic and Branislav Sazdovic

Simultaneous T-dualization of type II pure spinor superstring

Comments on dilaton transformation added

Eur. Phys. J. C (2018) 78: 1030

10.1140/epjc/s10052-018-6504-7

null

hep-th

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

In this article we consider simultaneous T-dualization of type II superstring action in pure spinor formulation. Simultaneous T-dualization means that we make T-dualization at the same time along some subset of initial coordinates marked by $x^a$. The only imposed assumption stems from the applicability of the Buscher T-dualization procedure - background fields do not depend on dualized directions $x^a$. In this way we obtain the full form of the T-dual background fields and T-dual transformation laws. Because two chiral sectors transform differently, there are two sets of vielbeins and gamma matrices connected by the local Lorentz transformation. Its spinorial representation is the same as in the constant background case. We also found the full expression for T-dual dilaton field.

[ { "created": "Fri, 6 Jul 2018 13:12:57 GMT", "version": "v1" }, { "created": "Mon, 9 Jul 2018 16:49:09 GMT", "version": "v2" }, { "created": "Wed, 31 Oct 2018 12:14:56 GMT", "version": "v3" }, { "created": "Mon, 3 Dec 2018 13:25:17 GMT", "version": "v4" } ]

2019-01-04

[ [ "Nikolic", "Bojan", "" ], [ "Sazdovic", "Branislav", "" ] ]

In this article we consider simultaneous T-dualization of type II superstring action in pure spinor formulation. Simultaneous T-dualization means that we make T-dualization at the same time along some subset of initial coordinates marked by $x^a$. The only imposed assumption stems from the applicability of the Buscher T-dualization procedure - background fields do not depend on dualized directions $x^a$. In this way we obtain the full form of the T-dual background fields and T-dual transformation laws. Because two chiral sectors transform differently, there are two sets of vielbeins and gamma matrices connected by the local Lorentz transformation. Its spinorial representation is the same as in the constant background case. We also found the full expression for T-dual dilaton field.

11.183406

10.348688

11.501035

10.326132

11.372354

10.75218

11.396472

11.195889

10.433348

11.987747

9.773606

10.459467

10.428533

10.829916

10.453122

10.557277

10.237494

10.58331

10.632689

10.542839

10.442852

1001.1757

Mikhail Shifman

P. Bolokhov, M. Shifman, A Yung

Large-N Solution of the Heterotic CP(N-1) Model with Twisted Masses

69 pages, 14 figures; typos corrected, final version to appear in PRD; v Jan. 2014 Erratum added on p. 50, two references added and two references updated

Phys.Rev.D82:025011,2010

10.1103/PhysRevD.82.025011

FTPI-MINN-09/45, UMN-TH-2828/09

hep-th hep-ph

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

We address a number of unanswered questions in the N=(0,2)-deformed CP(N-1) model with twisted masses. In particular, we complete the program of solving CP(N-1) model with twisted masses in the large-N limit. In hep-th/0512153 nonsupersymmetric version of the model with the Z_N symmetric twisted masses was analyzed in the framework of Witten's method. In arXiv:0803.0698 this analysis was extended: the large-N solution of the heterotic N=(0,2) CP(N-1) model with no twisted masses was found. Here we solve this model with the twisted masses switched on. Dynamical scenarios at large and small m are studied (m is the twisted mass scale). We found three distinct phases and two phase transitions on the m plane. Two phases with the spontaneously broken Z_N-symmetry are separated by a phase with unbroken Z_N. This latter phase is characterized by a unique vacuum and confinement of all U(1) charged fields ("quarks"). In the broken phases (one of them is at strong coupling) there are N degenerate vacua and no confinement, similarly to the situation in the N=(2,2) model. Supersymmetry is spontaneously broken everywhere except a circle |m|=\Lambda in the Z_N-unbroken phase. Related issues are considered. In particular, we discuss the mirror representation for the heterotic model in a certain limiting case.

[ { "created": "Mon, 11 Jan 2010 22:29:44 GMT", "version": "v1" }, { "created": "Sat, 5 Jun 2010 15:26:05 GMT", "version": "v2" }, { "created": "Thu, 1 Jul 2010 02:29:45 GMT", "version": "v3" }, { "created": "Tue, 7 Jan 2014 19:03:43 GMT", "version": "v4" } ]

2014-01-08

[ [ "Bolokhov", "P.", "" ], [ "Shifman", "M.", "" ], [ "Yung", "A", "" ] ]

We address a number of unanswered questions in the N=(0,2)-deformed CP(N-1) model with twisted masses. In particular, we complete the program of solving CP(N-1) model with twisted masses in the large-N limit. In hep-th/0512153 nonsupersymmetric version of the model with the Z_N symmetric twisted masses was analyzed in the framework of Witten's method. In arXiv:0803.0698 this analysis was extended: the large-N solution of the heterotic N=(0,2) CP(N-1) model with no twisted masses was found. Here we solve this model with the twisted masses switched on. Dynamical scenarios at large and small m are studied (m is the twisted mass scale). We found three distinct phases and two phase transitions on the m plane. Two phases with the spontaneously broken Z_N-symmetry are separated by a phase with unbroken Z_N. This latter phase is characterized by a unique vacuum and confinement of all U(1) charged fields ("quarks"). In the broken phases (one of them is at strong coupling) there are N degenerate vacua and no confinement, similarly to the situation in the N=(2,2) model. Supersymmetry is spontaneously broken everywhere except a circle |m|=\Lambda in the Z_N-unbroken phase. Related issues are considered. In particular, we discuss the mirror representation for the heterotic model in a certain limiting case.

8.664689

7.927897

9.121932

8.323488

8.567225

8.188581

7.990964

8.059345

8.075367

9.967345

8.08943

8.072284

8.749043

8.38363

8.400793

8.374022

8.24411

8.287862

8.505921

8.607856

8.374783

hep-th/9603067

Nissan Itzhaki

N.Itzhaki

Some remarks on 't Hooft's S-matrix for black holes

12 pages

null

TAUP-2319-96

hep-th

null

We discuss the limitations of 't Hooft's proposal for the black hole S-matrix. We find that the validity of the S-matrix implies violation of the semi-classical approximation at scales large compared to the Planck scale. We also show that the effect of the centrifugal barrier on the S-matrix is crucial even for large transverse distances.

[ { "created": "Mon, 11 Mar 1996 15:31:55 GMT", "version": "v1" } ]

2007-05-23

[ [ "Itzhaki", "N.", "" ] ]

We discuss the limitations of 't Hooft's proposal for the black hole S-matrix. We find that the validity of the S-matrix implies violation of the semi-classical approximation at scales large compared to the Planck scale. We also show that the effect of the centrifugal barrier on the S-matrix is crucial even for large transverse distances.

9.687624

7.477797

8.49009

8.204349

9.108608

7.454309

7.896309

7.541789

8.156763

8.706447

8.006669

8.298059

8.736618

8.314722

8.319255

8.450324

8.14706

8.109694

8.620031

9.031166

8.159197

1609.02158

Arnav Tripathy

Shamit Kachru and Arnav Tripathy

The Hodge-elliptic genus, spinning BPS states, and black holes

21 pages. Comments welcome!

null

10.1007/s00220-017-2910-1

null

hep-th math.AG

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

We perform a refined count of BPS states in the compactification of M-theory on $K3 \times T^2$, keeping track of the information provided by both the $SU(2)_L$ and $SU(2)_R$ angular momenta in the $SO(4)$ little group. Mathematically, this four variable counting function may be expressed via the motivic Donaldson-Thomas counts of $K3 \times T^2$, simultaneously refining Katz, Klemm, and Pandharipande's motivic Donaldson-Thomas counts on $K3$ and Oberdieck-Pandharipande's Gromov-Witten counts on $K3 \times T^2$. This provides the first full answer for motivic curve counts of a compact Calabi-Yau threefold. Along the way, we develop a Hodge-elliptic genus for Calabi-Yau manifolds -- a new counting function for BPS states that interpolates between the Hodge polynomial and the elliptic genus of a Calabi-Yau.

[ { "created": "Wed, 7 Sep 2016 20:00:08 GMT", "version": "v1" }, { "created": "Sat, 15 Oct 2016 00:04:56 GMT", "version": "v2" }, { "created": "Fri, 9 Dec 2016 18:57:03 GMT", "version": "v3" } ]

2017-08-02

[ [ "Kachru", "Shamit", "" ], [ "Tripathy", "Arnav", "" ] ]

We perform a refined count of BPS states in the compactification of M-theory on $K3 \times T^2$, keeping track of the information provided by both the $SU(2)_L$ and $SU(2)_R$ angular momenta in the $SO(4)$ little group. Mathematically, this four variable counting function may be expressed via the motivic Donaldson-Thomas counts of $K3 \times T^2$, simultaneously refining Katz, Klemm, and Pandharipande's motivic Donaldson-Thomas counts on $K3$ and Oberdieck-Pandharipande's Gromov-Witten counts on $K3 \times T^2$. This provides the first full answer for motivic curve counts of a compact Calabi-Yau threefold. Along the way, we develop a Hodge-elliptic genus for Calabi-Yau manifolds -- a new counting function for BPS states that interpolates between the Hodge polynomial and the elliptic genus of a Calabi-Yau.

5.389526

5.167078

6.386721

4.943373

5.610089

5.63007

5.29286

5.287099

5.035699

7.639112

5.03739

4.904082

5.597303

5.077435

5.121432

5.200142

5.155031

5.118751

5.026663

5.600135

4.966504

2208.13362

Shiyong Guo

Operator growth in SU(2) Yang-Mills theory

23 pages, 17 figures

null

hep-th

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

Krylov complexity is a novel observable for detecting quantum chaos, and an indicator of a possible gravity dual. In this paper, we compute the Krylov complexity and the associated Lanczos coefficients in the SU(2) Yang-Mills theory, which can be reduced to a nonlinearly coupled harmonic oscillators (CHO) model. We show that there exists a chaotic transition in the growth of Krylov complexity. The Krylov complexity shows a quadratic growth in the early time stage and then grows linearly. The corresponding Lanczos coefficient satisfies the universal operator growth hypothesis, i.e., grows linearly first and then enters the saturation plateau. By the linear growth of Lanczos coefficients, we obtain an upper bound of the quantum Lyapunov exponent. Finally, we investigate the effect of different energy sectors on the K-complexity and Lanczos coefficients.

[ { "created": "Mon, 29 Aug 2022 04:27:13 GMT", "version": "v1" } ]

2022-08-30

[ [ "Guo", "Shiyong", "" ] ]

Krylov complexity is a novel observable for detecting quantum chaos, and an indicator of a possible gravity dual. In this paper, we compute the Krylov complexity and the associated Lanczos coefficients in the SU(2) Yang-Mills theory, which can be reduced to a nonlinearly coupled harmonic oscillators (CHO) model. We show that there exists a chaotic transition in the growth of Krylov complexity. The Krylov complexity shows a quadratic growth in the early time stage and then grows linearly. The corresponding Lanczos coefficient satisfies the universal operator growth hypothesis, i.e., grows linearly first and then enters the saturation plateau. By the linear growth of Lanczos coefficients, we obtain an upper bound of the quantum Lyapunov exponent. Finally, we investigate the effect of different energy sectors on the K-complexity and Lanczos coefficients.

8.349743

6.603832

7.808966

6.35652

6.56707

6.340258

6.978802

6.22254

6.594442

8.310427

6.574407

6.635106

7.279075

6.82845

7.196819

6.873092

6.979249

6.74078

6.727421

7.785634

6.610269

1802.07746

Adwait Gaikwad

Adwait Gaikwad, Lata Kh Joshi, Gautam Mandal, and Spenta R. Wadia

Holographic dual to charged SYK from 3D Gravity and Chern-Simons

New boundary counter terms and their 3D origin is given. A section on two points of view to understand the pseudo-Nambu-Goldstone mode added. Appendix D and E added

null

10.1007/JHEP02(2020)033

null

hep-th cond-mat.stat-mech nlin.CD

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

In this paper, we obtain a bulk dual to SYK model, including SYK model with $U(1)$ charge, by Kaluza-Klein (KK) reduction from three dimensions. We show that KK reduction of the 3D Einstein action plus its boundary term gives the Jackiw-Teitelboim (JT) model in 2D with the appropriate 1D boundary term. The size of the KK radius gets identified with the value of the dilaton in the resulting near-AdS$_2$ geometry. In presence of U(1) charge, the 3D model additionally includes a $U(1)$ Chern-Simons (CS) action. In order to describe a boundary theory with non-zero chemical potential, we also introduce a coupling between CS gauge field and bulk gravity. The 3D CS action plus the new coupling term with appropriate boundary terms reduce in two dimensions to a BF-type action plus a source term and boundary terms. The KK reduced 2D theory represents the soft sector of the charged SYK model. The pseudo-Nambu-Goldstone modes of combined $\textit{Diff} /\mathbb{SL}(2,\mathbb{R})$ and $U(1)_{\rm local}/U(1)$ transformations are represented by combined large diffeomorphisms and large gauge transformations. The effective action of the former is reproduced by the action cost of the latter in the bulk dual, after appropriate identification of parameters. We compute chaotic correlators from the bulk and reproduce the result that the contribution from the "boundary photons" corresponds to zero Liapunov exponent.

[ { "created": "Wed, 21 Feb 2018 19:00:56 GMT", "version": "v1" }, { "created": "Thu, 12 Sep 2019 22:48:55 GMT", "version": "v2" }, { "created": "Tue, 18 Aug 2020 13:27:49 GMT", "version": "v3" } ]

2020-08-19

[ [ "Gaikwad", "Adwait", "" ], [ "Joshi", "Lata Kh", "" ], [ "Mandal", "Gautam", "" ], [ "Wadia", "Spenta R.", "" ] ]

In this paper, we obtain a bulk dual to SYK model, including SYK model with $U(1)$ charge, by Kaluza-Klein (KK) reduction from three dimensions. We show that KK reduction of the 3D Einstein action plus its boundary term gives the Jackiw-Teitelboim (JT) model in 2D with the appropriate 1D boundary term. The size of the KK radius gets identified with the value of the dilaton in the resulting near-AdS$_2$ geometry. In presence of U(1) charge, the 3D model additionally includes a $U(1)$ Chern-Simons (CS) action. In order to describe a boundary theory with non-zero chemical potential, we also introduce a coupling between CS gauge field and bulk gravity. The 3D CS action plus the new coupling term with appropriate boundary terms reduce in two dimensions to a BF-type action plus a source term and boundary terms. The KK reduced 2D theory represents the soft sector of the charged SYK model. The pseudo-Nambu-Goldstone modes of combined $\textit{Diff} /\mathbb{SL}(2,\mathbb{R})$ and $U(1)_{\rm local}/U(1)$ transformations are represented by combined large diffeomorphisms and large gauge transformations. The effective action of the former is reproduced by the action cost of the latter in the bulk dual, after appropriate identification of parameters. We compute chaotic correlators from the bulk and reproduce the result that the contribution from the "boundary photons" corresponds to zero Liapunov exponent.

9.064349

8.996937

9.593223

8.976251

9.680012

9.317606

9.743755

8.913239

8.988819

10.406848

9.12832

8.675828

9.275316

8.820243

8.733192

8.819316

8.796685

8.659648

8.823345

9.310085

8.54213

hep-th/0410031

Oktay Pashaev

Oktay K. Pashaev and Meltem L.Y. Francisco

Degenerate Four Virtual Soliton Resonance for KP-II

10 pages, 5 figures, Talk on International Conference Nonlinear Physics. Theory and Experiment. III, 24 June-3 July, 2004, Gallipoli(Lecce), Italy

Theor.Math.Phys. 144 (2005) 1022-1029; Teor.Mat.Fiz. 144 (2005) 162-170

10.1007/s11232-005-0130-x

null

hep-th

null

By using disipative version of the second and the third members of AKNS hierarchy, a new method to solve 2+1 dimensional Kadomtsev-Petviashvili (KP-II) equation is proposed. We show that dissipative solitons (dissipatons) of those members give rise to the real solitons of KP-II. From the Hirota bilinear form of the SL(2,R) AKNS flows, we formulate a new bilinear representation for KP-II, by which, one and two soliton solutions are constructed and the resonance character of their mutual interactions is studied. By our bilinear form, we first time created four virtual soliton resonance solution for KP-II and established relations of it with degenerate four-soliton solution in the Hirota-Satsuma bilinear form for KP-II.

[ { "created": "Mon, 4 Oct 2004 15:25:23 GMT", "version": "v1" } ]

2009-11-10

[ [ "Pashaev", "Oktay K.", "" ], [ "Francisco", "Meltem L. Y.", "" ] ]

By using disipative version of the second and the third members of AKNS hierarchy, a new method to solve 2+1 dimensional Kadomtsev-Petviashvili (KP-II) equation is proposed. We show that dissipative solitons (dissipatons) of those members give rise to the real solitons of KP-II. From the Hirota bilinear form of the SL(2,R) AKNS flows, we formulate a new bilinear representation for KP-II, by which, one and two soliton solutions are constructed and the resonance character of their mutual interactions is studied. By our bilinear form, we first time created four virtual soliton resonance solution for KP-II and established relations of it with degenerate four-soliton solution in the Hirota-Satsuma bilinear form for KP-II.

11.404464

13.24432

12.194188

11.378903

12.959633

12.698903

12.622386

11.888759

11.873552

12.978315

11.110073

10.700432

11.910171

11.047546

11.232108

11.383719

10.940629

10.988976

10.812478

11.335436

10.881646

hep-th/0601160

Zheng Yin

The principle of least action and the geometric basis of D-branes

null

JHEP0606:002,2006

10.1088/1126-6708/2006/06/002

SIAS-CMTP-05-3

hep-th

null

We analyze thoroughly the boundary conditions allowed in classical non-linear sigma models and derive from first principle the corresponding geometric objects, i.e. D-branes. In addition to giving classical D-branes an intrinsic and geometric foundation, D-branes in nontrivial H flux and D-branes embedded within D-branes are precisely defined. A well known topological condition on D-branes is replaced.

[ { "created": "Mon, 23 Jan 2006 18:36:05 GMT", "version": "v1" } ]

2008-11-26

[ [ "Yin", "Zheng", "" ] ]

We analyze thoroughly the boundary conditions allowed in classical non-linear sigma models and derive from first principle the corresponding geometric objects, i.e. D-branes. In addition to giving classical D-branes an intrinsic and geometric foundation, D-branes in nontrivial H flux and D-branes embedded within D-branes are precisely defined. A well known topological condition on D-branes is replaced.

25.200142

26.059122

29.9419

24.625978

24.451988

22.710234

24.738527

26.23527

22.858171

32.792545

20.198254

21.68524

25.584282

22.532948

23.479063

21.657295

22.469364

23.103794

23.359495

26.270313

21.580585

1005.5512

Dimitri Polyakov Dr

Dimitri Polyakov

Gravitational Couplings of Higher Spins from String Theory

19 pages

Int.J.Mod.Phys.A25:4623-4640,2010

10.1142/S0217751X1005041X

WITS-CTP-053

hep-th

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

We calculate the interaction 3-vertex of two massless spin 3 particles with a graviton using vertex operators for spin 3 fields in open string theory, constructed in our previous work. The massless spin 3 fields are shown to interact with the graviton through the linearized Weyl tensor, reproducing the result by Boulanger, Leclercq and Sundell. This is consistent with the general structure of the non-Abelian $2-s-s$ couplings, implying that the minimal number of space-time derivatives in the interaction vertices of two spin s and one spin 2 particle is equal to $2s-2$.

[ { "created": "Sun, 30 May 2010 10:08:56 GMT", "version": "v1" }, { "created": "Tue, 1 Jun 2010 19:47:46 GMT", "version": "v2" } ]

2014-11-21

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

We calculate the interaction 3-vertex of two massless spin 3 particles with a graviton using vertex operators for spin 3 fields in open string theory, constructed in our previous work. The massless spin 3 fields are shown to interact with the graviton through the linearized Weyl tensor, reproducing the result by Boulanger, Leclercq and Sundell. This is consistent with the general structure of the non-Abelian $2-s-s$ couplings, implying that the minimal number of space-time derivatives in the interaction vertices of two spin s and one spin 2 particle is equal to $2s-2$.

8.242771

7.091586

8.904881

7.999304

7.558703

7.349218

6.969213

7.119081

7.261491

9.925788

6.796706

7.178642

7.744368

7.126296

7.024023

7.325235

7.021262

7.380306

6.969563

7.746495

7.002827

2011.06576

Masanori Hanada

Alexander J. Buser, Hrant Gharibyan, Masanori Hanada, Masazumi Honda, Junyu Liu

Quantum simulation of gauge theory via orbifold lattice

38 pages. v2: accepted version. v3: a few minor corrections

JHEP 2109 (2021) 034

10.1007/JHEP09(2021)034

CALT-TH-2020-024, DMUS-MP-20/11, YITP-20-121

hep-th hep-lat quant-ph

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

We propose a new framework for simulating $\text{U}(k)$ Yang-Mills theory on a universal quantum computer. This construction uses the orbifold lattice formulation proposed by Kaplan, Katz, and Unsal, who originally applied it to supersymmetric gauge theories. Our proposed approach yields a novel perspective on quantum simulation of quantum field theories, carrying certain advantages over the usual Kogut-Susskind formulation. We discuss the application of our constructions to computing static properties and real-time dynamics of Yang-Mills theories, from glueball measurements to AdS/CFT, making use of a variety of quantum information techniques including qubitization, quantum signal processing, Jordan-Lee-Preskill bounds, and shadow tomography. The generalizations to certain supersymmetric Yang-Mills theories appear to be straightforward, providing a path towards the quantum simulation of quantum gravity via holographic duality.

[ { "created": "Thu, 12 Nov 2020 18:49:11 GMT", "version": "v1" }, { "created": "Wed, 1 Sep 2021 20:41:36 GMT", "version": "v2" }, { "created": "Mon, 22 Jan 2024 14:31:42 GMT", "version": "v3" } ]

2024-01-23

[ [ "Buser", "Alexander J.", "" ], [ "Gharibyan", "Hrant", "" ], [ "Hanada", "Masanori", "" ], [ "Honda", "Masazumi", "" ], [ "Liu", "Junyu", "" ] ]

We propose a new framework for simulating $\text{U}(k)$ Yang-Mills theory on a universal quantum computer. This construction uses the orbifold lattice formulation proposed by Kaplan, Katz, and Unsal, who originally applied it to supersymmetric gauge theories. Our proposed approach yields a novel perspective on quantum simulation of quantum field theories, carrying certain advantages over the usual Kogut-Susskind formulation. We discuss the application of our constructions to computing static properties and real-time dynamics of Yang-Mills theories, from glueball measurements to AdS/CFT, making use of a variety of quantum information techniques including qubitization, quantum signal processing, Jordan-Lee-Preskill bounds, and shadow tomography. The generalizations to certain supersymmetric Yang-Mills theories appear to be straightforward, providing a path towards the quantum simulation of quantum gravity via holographic duality.

10.405416

11.717776

12.062605

10.912366

11.513207

11.473204

12.121487

11.899183

11.182844

11.273234

11.158041

9.926534

10.222642

10.059948

10.133258

10.096498

9.979531

9.852704

10.067372

10.463719

10.055834

hep-th/9910096

Mikhail A. Vasiliev

Mikhail Vasiliev (Lebedev Physical Institute)

Higher Spin Gauge Theories: Star-Product and AdS Space

79 pages, latex [sprocl], no figures, Contributed article to Golfand's Memorial Volume, M.Shifman ed., World Scientific; V2: missed terms in Eq.(29) are fixed, acknowledgment added

null

10.1142/9789812793850_0030

FIAN-TD-24-99

hep-th

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

We review the theory of higher spin gauge fields in 2+1 and 3+1 dimensional anti-de Sitter space and present some new results on the structure of higher spin currents and explicit solutions of the massless equations. A previously obtained d=3 integrating flow is generalized to d=4 and is shown to give rise to a perturbative solution of the d=4 nonlinear higher spin equations. A particular attention is paid to the relationship between the star-product origin of the higher spin symmetries, AdS geometry and the concept of space-time locality.

[ { "created": "Tue, 12 Oct 1999 18:12:21 GMT", "version": "v1" }, { "created": "Fri, 31 Aug 2012 19:32:09 GMT", "version": "v2" } ]

2016-11-23

[ [ "Vasiliev", "Mikhail", "", "Lebedev Physical Institute" ] ]

We review the theory of higher spin gauge fields in 2+1 and 3+1 dimensional anti-de Sitter space and present some new results on the structure of higher spin currents and explicit solutions of the massless equations. A previously obtained d=3 integrating flow is generalized to d=4 and is shown to give rise to a perturbative solution of the d=4 nonlinear higher spin equations. A particular attention is paid to the relationship between the star-product origin of the higher spin symmetries, AdS geometry and the concept of space-time locality.

8.438984

6.516303

9.147817

7.276728

6.896464

7.144396

6.825556

6.803343

7.386026

8.685231

7.444638

7.782824

8.311392

7.688988

8.012811

7.970911

7.605398

7.69898

7.745381

8.493149

7.819776

hep-th/9905067

Troels Harmark

Joao Correia and Troels Harmark

On QCD_2 from supergravity and mass gaps in QCD

Latex2e, 8 pages

Phys.Lett.B460:455-460,1999

10.1016/S0370-2693(99)00813-8

NBI-HE-99-16

hep-th

null

As a test of the conjectured QCD/supergravity duality, we consider mass gaps in the supergravity construction of QCD_2. We find a mass gap in the dual field theory both when using non-rotating and rotating black D2-branes as backgrounds in the supergravity construction of QCD_2. So, since pure QCD_2 does not have a mass gap, the dual field theory of the supergravity construction of QCD_2 cannot be pure QCD_2. Considering the mass scales in the dual field theory of the supergravity construction of QCD_2, we find that this is explainable both in the case of the non-rotating background and of the rotating background. In particular, the mass gap in the case of the rotating background can be explained using results of the large angular momentum limit of euclidean rotating branes, obtained recently by Cvetic and Gubser. We furthermore remark on the possible implications for the mass gaps in the supergravity constructions of QCD_3 and QCD_4.

[ { "created": "Tue, 11 May 1999 10:29:01 GMT", "version": "v1" } ]

2010-11-19

[ [ "Correia", "Joao", "" ], [ "Harmark", "Troels", "" ] ]

As a test of the conjectured QCD/supergravity duality, we consider mass gaps in the supergravity construction of QCD_2. We find a mass gap in the dual field theory both when using non-rotating and rotating black D2-branes as backgrounds in the supergravity construction of QCD_2. So, since pure QCD_2 does not have a mass gap, the dual field theory of the supergravity construction of QCD_2 cannot be pure QCD_2. Considering the mass scales in the dual field theory of the supergravity construction of QCD_2, we find that this is explainable both in the case of the non-rotating background and of the rotating background. In particular, the mass gap in the case of the rotating background can be explained using results of the large angular momentum limit of euclidean rotating branes, obtained recently by Cvetic and Gubser. We furthermore remark on the possible implications for the mass gaps in the supergravity constructions of QCD_3 and QCD_4.

6.382738

6.263005

6.171116

5.997099

5.931397

6.203518

6.061813

6.153524

5.96174

7.117517

5.974416

5.78857

6.076318

5.670125

5.928236

5.718138

5.870703

5.831226

5.799529

5.937561

5.857019

0805.4387

Nick Dorey

A Spin Chain from String Theory

37 Pages, 8 figures

Acta Phys.Polon.B39:3081-3116,2008

null

hep-th

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

We study the semiclassical spectrum of bosonic string theory on AdS_3 x S^1 in the limit of large AdS angular momentum. At leading semiclassical order, this is a subsector of the IIB superstring on AdS_5 x S^5. The theory includes strings with K spikes which approach the boundary in this limit. We show that, for all K, the spectrum of these strings exactly matches that of the corresponding operators in the dual gauge theory up to a single universal prefactor which can be identified with the cusp anomalous dimension. We propose a precise map between the dynamics of the spikes and the classical SL(2,R) spin chain which arises in the large-spin limit of N=4 Super Yang-Mills theory.

[ { "created": "Wed, 28 May 2008 17:20:36 GMT", "version": "v1" } ]

2008-12-19

[ [ "Dorey", "Nick", "" ] ]

We study the semiclassical spectrum of bosonic string theory on AdS_3 x S^1 in the limit of large AdS angular momentum. At leading semiclassical order, this is a subsector of the IIB superstring on AdS_5 x S^5. The theory includes strings with K spikes which approach the boundary in this limit. We show that, for all K, the spectrum of these strings exactly matches that of the corresponding operators in the dual gauge theory up to a single universal prefactor which can be identified with the cusp anomalous dimension. We propose a precise map between the dynamics of the spikes and the classical SL(2,R) spin chain which arises in the large-spin limit of N=4 Super Yang-Mills theory.

7.903808

7.041106

8.240221

6.623933

7.003625

7.645691

6.804895

7.035676

6.81408

8.793604

6.74812

7.108375

7.940217

6.917383

7.13699

7.341851

7.287445

6.976917

7.193635

8.012726

6.937631

hep-th/0005181

Alexei Zamolodchikov

Al.Zamolodchikov

On the Thermodynamic Bethe Ansatz Equation in Sinh-Gordon Model

32 pages, 18 figures, myart.sty

J.Phys. A39 (2006) 12863-12887

10.1088/0305-4470/39/41/S09

LPM-00-15

hep-th

null

Two implicit periodic structures in the solution of sinh-Gordon thermodynamic Bethe ansatz equation are considered. The analytic structure of the solution as a function of complex $\theta$ is studied to some extent both analytically and numerically. The results make a hint how the CFT integrable structures can be relevant in the sinh-Gordon and staircase models. More motivations are figured out for subsequent studies of the massless sinh-Gordon (i.e. Liouville) TBA equation.

[ { "created": "Fri, 19 May 2000 16:28:58 GMT", "version": "v1" } ]

2015-06-25

[ [ "Zamolodchikov", "Al.", "" ] ]

Two implicit periodic structures in the solution of sinh-Gordon thermodynamic Bethe ansatz equation are considered. The analytic structure of the solution as a function of complex $\theta$ is studied to some extent both analytically and numerically. The results make a hint how the CFT integrable structures can be relevant in the sinh-Gordon and staircase models. More motivations are figured out for subsequent studies of the massless sinh-Gordon (i.e. Liouville) TBA equation.

20.465488

17.193171

21.36322

16.432497

18.50659

17.629213

17.448776

17.089243

17.761398

21.729349

17.17403

17.569592

18.568676

17.095249

17.19285

16.769011

17.045786

16.618973

16.732203

18.61359

16.823685

hep-th/0212194

Ivan K. Kostov

Boundary Correlators in 2D Quantum Gravity: Liouville versus Discrete Approach

21 pages, 5 figures, harvmac, eqs. (2.11) and (5.11) corrected

Nucl.Phys. B658 (2003) 397-416

10.1016/S0550-3213(03)00147-0

HUTP-02/A065, SPhT-t003/004

hep-th

null

We calculate a class of two-point boundary correlators in 2D quantum gravity using its microscopic realization as loop gas on a random surface. We find a perfect agreement with the two-point boundary correlation function in Liouville theory, obtained by V. Fateev, A. Zamolodchikov and Al. Zamolodchikov. We also give a geometrical meaning of the functional equation satisfied by this two-point function.

[ { "created": "Tue, 17 Dec 2002 08:18:16 GMT", "version": "v1" }, { "created": "Thu, 19 Dec 2002 16:20:44 GMT", "version": "v2" }, { "created": "Fri, 20 Dec 2002 22:03:51 GMT", "version": "v3" }, { "created": "Wed, 15 Jan 2003 15:06:02 GMT", "version": "v4" } ]

2010-04-05

[ [ "Kostov", "Ivan K.", "" ] ]

We calculate a class of two-point boundary correlators in 2D quantum gravity using its microscopic realization as loop gas on a random surface. We find a perfect agreement with the two-point boundary correlation function in Liouville theory, obtained by V. Fateev, A. Zamolodchikov and Al. Zamolodchikov. We also give a geometrical meaning of the functional equation satisfied by this two-point function.

6.35862

6.686487

6.425171

5.971983

6.230144

6.388466

6.31487

6.298319

6.046221

7.999859

5.927361

5.720987

6.150873

5.864029

5.905109

5.763226

5.832402

5.597781

5.76887

6.269393

5.830607

hep-th/0005038

Modanese Giovanni

G. Modanese (C.I.P.A., Palo Alto and Univ. Bolzano)

The Paradox of Virtual Dipoles in the Einstein Action

LaTeX, 5 pages; reference added

Phys.Rev. D62 (2000) 087502

10.1103/PhysRevD.62.087502

null

hep-th

null

The functional integral of pure Einstein 4D quantum gravity admits abnormally large and long-lasting "dipolar fluctuations", generated by virtual sources with the property Int d^4x Sqrt{g(x)} Tr T(x) = 0. These fluctuations would exist also at macroscopic scales, with paradoxical consequences. We set out their general features and give numerical estimates of possible suppression processes.

[ { "created": "Thu, 4 May 2000 06:19:17 GMT", "version": "v1" }, { "created": "Thu, 8 Jun 2000 10:43:40 GMT", "version": "v2" } ]

2009-10-31

[ [ "Modanese", "G.", "", "C.I.P.A., Palo Alto and Univ. Bolzano" ] ]

The functional integral of pure Einstein 4D quantum gravity admits abnormally large and long-lasting "dipolar fluctuations", generated by virtual sources with the property Int d^4x Sqrt{g(x)} Tr T(x) = 0. These fluctuations would exist also at macroscopic scales, with paradoxical consequences. We set out their general features and give numerical estimates of possible suppression processes.

37.518784

47.907349

36.326462

34.499325

36.782677

37.237942

35.203999

34.210144

34.55032

34.834229

36.669941

33.582249

34.044052

33.193188

31.322239

33.414623

32.533009

31.658167

33.682247

31.943958

34.043186

2002.05523

Leonardo Castellani

Covariant hamiltonian for supergravity in $d=3$ and $d=4$

24 pages, LaTeX. v2: added Notes in Section 2 and Section 3. A summary of the covariant hamiltonian formalism, included in Section 2 for self-consistency, produces some overlap with arXiv:1906.11852

null

10.1007/JHEP04(2020)169

ARC-2020-08

hep-th gr-qc

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

We extend the covariant canonical formalism recently discussed in ref. [1] to geometric theories coupled to both bosonic and fermionic $p$-forms. This allows a covariant hamiltonian treatment of supergravity theories. As examples we present the covariant hamiltonian formulation for $d=3$ anti-De Sitter supergravity and for the "new minimal" $d=4$, $N=1$ supergravity (with $1$-form and $2$-form auxiliary fields). Form-Poisson brackets and form-Dirac brackets are defined, and used to find the form-canonical generators of all gauge symmetries via an algorithmic procedure.

[ { "created": "Tue, 11 Feb 2020 23:25:07 GMT", "version": "v1" }, { "created": "Wed, 4 Mar 2020 18:43:25 GMT", "version": "v2" } ]

2020-05-20

[ [ "Castellani", "Leonardo", "" ] ]

We extend the covariant canonical formalism recently discussed in ref. [1] to geometric theories coupled to both bosonic and fermionic $p$-forms. This allows a covariant hamiltonian treatment of supergravity theories. As examples we present the covariant hamiltonian formulation for $d=3$ anti-De Sitter supergravity and for the "new minimal" $d=4$, $N=1$ supergravity (with $1$-form and $2$-form auxiliary fields). Form-Poisson brackets and form-Dirac brackets are defined, and used to find the form-canonical generators of all gauge symmetries via an algorithmic procedure.

6.960229

6.642075

7.223038

6.371328

7.171876

6.782044

7.110026

6.281476

6.82135

8.360396

6.797989

6.478309

7.212842

6.743148

6.700959

6.604783

6.691081

6.667146

6.567843

7.065433

6.571576

hep-th/9810127

Emidio Gabrielli

A. Donini, E. Gabrielli, B. Gavela

Quenched Supersymmetry

LaTeX, 17 pages, no figures

Nucl.Phys. B546 (1999) 119-134

10.1016/S0550-3213(99)00030-9

FTUAM/98/12

hep-th hep-lat hep-ph

null

We study the effects of quenching in Super-Yang-Mills theory. While supersymmetry is broken, the lagrangian acquires a new flavour U(1 | 1) symmetry. The anomaly structure thus differs from the unquenched case. We derive the corresponding low-energy effective lagrangian. As a consequence, we predict the mass splitting expected in numerical simulations for particles belonging to the lowest-lying supermultiplet. An estimate of the systematic error due to quenching follows.

[ { "created": "Fri, 16 Oct 1998 14:16:53 GMT", "version": "v1" } ]

2009-10-31

[ [ "Donini", "A.", "" ], [ "Gabrielli", "E.", "" ], [ "Gavela", "B.", "" ] ]

We study the effects of quenching in Super-Yang-Mills theory. While supersymmetry is broken, the lagrangian acquires a new flavour U(1 | 1) symmetry. The anomaly structure thus differs from the unquenched case. We derive the corresponding low-energy effective lagrangian. As a consequence, we predict the mass splitting expected in numerical simulations for particles belonging to the lowest-lying supermultiplet. An estimate of the systematic error due to quenching follows.

11.562136

13.861548

12.987428

11.649394

12.667403

13.244267

12.845115

12.782718

12.794606

14.397567

11.757171

12.343325

12.190197

11.112988

11.435811

12.371883

11.082375

11.295785

11.174808

12.336767

12.24297

2308.02159

Naritaka Oshita

Naritaka Oshita, Yutaro Shoji, Masahide Yamaguchi

Is the Coleman de Luccia action minimum?: AdS/CFT approach

11 pages, 2 figures

null

YITP-23-99, RIKEN-iTHEMS-Report-23

hep-th gr-qc

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

We use the anti-de Sitter/conformal field theory (AdS/CFT) correspondence to find the least bounce action in an AdS false vacuum state, i.e., the most probable decay process of the metastable AdS vacuum within the Euclidean formalism by Callan and Coleman. It was shown that the $O(4)$ symmetric bounce solution leads to the action minimum in the absence of gravity, but it is non-trivial in the presence of gravity. The AdS/CFT duality is used to evade the difficulties particular to a metastable gravitational system, such as the problems of negative modes and unbounded action. To this end, we show that the Fubini bounce solution in CFT, corresponding to the Coleman de Luccia bounce in AdS, gives the least action among all finite bounce solutions in a conformal scalar field theory. Thus, we prove that the Coleman de Luccia action is the least action when (i) the background is AdS, (ii) the AdS radii, $L_+$ and $L_-$, in the false and true vacua, respectively, satisfy $L_+ / L_- \simeq 1$, and (iii) a metastable potential gives a thin-wall bounce much larger than the AdS radii.

[ { "created": "Fri, 4 Aug 2023 06:37:30 GMT", "version": "v1" } ]

2023-08-07

[ [ "Oshita", "Naritaka", "" ], [ "Shoji", "Yutaro", "" ], [ "Yamaguchi", "Masahide", "" ] ]

We use the anti-de Sitter/conformal field theory (AdS/CFT) correspondence to find the least bounce action in an AdS false vacuum state, i.e., the most probable decay process of the metastable AdS vacuum within the Euclidean formalism by Callan and Coleman. It was shown that the $O(4)$ symmetric bounce solution leads to the action minimum in the absence of gravity, but it is non-trivial in the presence of gravity. The AdS/CFT duality is used to evade the difficulties particular to a metastable gravitational system, such as the problems of negative modes and unbounded action. To this end, we show that the Fubini bounce solution in CFT, corresponding to the Coleman de Luccia bounce in AdS, gives the least action among all finite bounce solutions in a conformal scalar field theory. Thus, we prove that the Coleman de Luccia action is the least action when (i) the background is AdS, (ii) the AdS radii, $L_+$ and $L_-$, in the false and true vacua, respectively, satisfy $L_+ / L_- \simeq 1$, and (iii) a metastable potential gives a thin-wall bounce much larger than the AdS radii.

6.766474

7.024538

7.406732

6.636251

7.56578

7.43561

7.119794

6.772276

7.193705

7.061282

6.635843

6.74008

6.730888

6.758625

6.790307

6.784089

6.810259

6.857228

6.522131

6.604495

6.705961

hep-th/9702173

Yaron Oz

Kentaro Hori and Yaron Oz

F-Theory, T-Duality on K3 Surfaces and N=2 Supersymmetric Gauge Theories in Four Dimensions

13 pages, latex

Nucl.Phys.B501:97-108,1997

10.1016/S0550-3213(97)00361-1

LBNL 40031

hep-th

null

We construct T-duality on K3 surfaces. The T-duality exchanges a 4-brane R-R charge and a 0-brane R-R charge. We study the action of the T-duality on the moduli space of 0-branes located at points of K3 and 4-branes wrapping it. We apply the construction to F-theory compactified on a Calabi-Yau 4-fold and study the duality of N=2 SU(N_c) gauge theories in four dimensions. We discuss the generalization to the N=1 duality scenario.

[ { "created": "Tue, 25 Feb 1997 06:24:19 GMT", "version": "v1" }, { "created": "Wed, 26 Feb 1997 03:31:12 GMT", "version": "v2" } ]

2009-09-29

[ [ "Hori", "Kentaro", "" ], [ "Oz", "Yaron", "" ] ]

We construct T-duality on K3 surfaces. The T-duality exchanges a 4-brane R-R charge and a 0-brane R-R charge. We study the action of the T-duality on the moduli space of 0-branes located at points of K3 and 4-branes wrapping it. We apply the construction to F-theory compactified on a Calabi-Yau 4-fold and study the duality of N=2 SU(N_c) gauge theories in four dimensions. We discuss the generalization to the N=1 duality scenario.

6.911736

6.051836

7.966822

6.401567

6.122054

6.19022

6.12135

6.126709

6.323715

8.00593

6.129781

6.339473

7.059943

6.097247

6.122677

6.275

6.182818

6.356795

6.240357

7.18394

6.023733

1006.4090

Esperanza Lopez

Javier Abajo-Arrastia, Joao Aparicio, Esperanza Lopez

Holographic Evolution of Entanglement Entropy

26 pages, 10 figures

JHEP 1011:149,2010

10.1007/JHEP11(2010)149

null

hep-th quant-ph

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

We study the evolution of entanglement entropy in a 2-dimensional equilibration process that has a holographic description in terms of a Vaidya geometry. It models a unitary evolution in which the field theory starts in a pure state, its vacuum, and undergoes a perturbation that brings it far from equilibrium. The entanglement entropy in this set up provides a measurement of the quantum entanglement in the system. Using holographic techniques we recover the same result obtained before from the study of processes triggered by a sudden change in a parameter of the hamiltonian, known as quantum quenches. Namely, entanglement in 2-dimensional conformal field theories propagates with velocity v^2=1. Both in quantum quenches and in the Vaidya model equilibration is only achieved at the local level. Remarkably, the holographic derivation of this last fact requires information from behind the apparent horizon generated in the process of gravitational collapse described by the Vaidya geometry. In the early stages of the evolution the apparent horizon seems however to play no relevant role with regard to the entanglement entropy. We speculate on the possibility of deriving a thermalization time for occupation numbers from our analysis.

[ { "created": "Mon, 21 Jun 2010 15:09:56 GMT", "version": "v1" } ]

2010-12-06

[ [ "Abajo-Arrastia", "Javier", "" ], [ "Aparicio", "Joao", "" ], [ "Lopez", "Esperanza", "" ] ]

We study the evolution of entanglement entropy in a 2-dimensional equilibration process that has a holographic description in terms of a Vaidya geometry. It models a unitary evolution in which the field theory starts in a pure state, its vacuum, and undergoes a perturbation that brings it far from equilibrium. The entanglement entropy in this set up provides a measurement of the quantum entanglement in the system. Using holographic techniques we recover the same result obtained before from the study of processes triggered by a sudden change in a parameter of the hamiltonian, known as quantum quenches. Namely, entanglement in 2-dimensional conformal field theories propagates with velocity v^2=1. Both in quantum quenches and in the Vaidya model equilibration is only achieved at the local level. Remarkably, the holographic derivation of this last fact requires information from behind the apparent horizon generated in the process of gravitational collapse described by the Vaidya geometry. In the early stages of the evolution the apparent horizon seems however to play no relevant role with regard to the entanglement entropy. We speculate on the possibility of deriving a thermalization time for occupation numbers from our analysis.

8.967491

9.423017

9.23149

8.480978

9.039595

8.634776

9.304808

8.727718

8.583241

9.788804

8.761378

8.70814

8.575507

8.520153

8.637747

8.86068

8.566907

8.516478

8.655766

8.754879

8.714409

hep-th/0102064

Mariano Cadoni

M. Cadoni, P. Carta

The AdS/CFT correspondence in two dimensions

Contribution to the Proceedings of the Euroconference on "Brane New World and Noncommutative Geometry", Turin, October 2000

Mod.Phys.Lett. A16 (2001) 171-178

10.1142/S0217732301003243

INFNCA-TH0102

hep-th

null

We review recent progress in understanding the anti-de Sitter/conformal field theory correspondence in the context of two-dimensional dilaton gravity theory.

[ { "created": "Tue, 13 Feb 2001 12:00:42 GMT", "version": "v1" } ]

2009-11-07

[ [ "Cadoni", "M.", "" ], [ "Carta", "P.", "" ] ]

We review recent progress in understanding the anti-de Sitter/conformal field theory correspondence in the context of two-dimensional dilaton gravity theory.

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1911.12775

Ming-Zhi Chung

Ming-Zhi Chung, Yu-tin Huang, Jung-Wook Kim

Kerr-Newman stress-tensor from minimal coupling

19 pages, 3 figures

null

10.1007/JHEP12(2020)103

NCTS-TH/1910

hep-th gr-qc

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

In this paper, we demonstrate that at leading order in post Minkowskian (PM) expansion, the stress-energy tensor of Kerr-Newman can be recovered to all orders in spin from three sets of minimal coupling: the electric and gravitational minimal coupling for higher-spin particles, and the "minimal coupling" for massive spin-2 decay. These couplings are uniquely defined from kinematic consideration alone. This is shown by extracting the classical piece of the one-loop stress-energy tensor form factor, which we provide a basis that is valid to all orders in spin. The 1 PM stress tensor, and the metric in the harmonic gauge, is then recovered from the classical spin limit of the form factor.

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2021-06-30

[ [ "Chung", "Ming-Zhi", "" ], [ "Huang", "Yu-tin", "" ], [ "Kim", "Jung-Wook", "" ] ]

In this paper, we demonstrate that at leading order in post Minkowskian (PM) expansion, the stress-energy tensor of Kerr-Newman can be recovered to all orders in spin from three sets of minimal coupling: the electric and gravitational minimal coupling for higher-spin particles, and the "minimal coupling" for massive spin-2 decay. These couplings are uniquely defined from kinematic consideration alone. This is shown by extracting the classical piece of the one-loop stress-energy tensor form factor, which we provide a basis that is valid to all orders in spin. The 1 PM stress tensor, and the metric in the harmonic gauge, is then recovered from the classical spin limit of the form factor.

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