LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

0712.3224

Anastasios Avgoustidis

A. Avgoustidis

Cosmic String Dynamics and Evolution in Warped Spacetime

21 pages, 5 figures; Discussion section expanded, physical implications further explored; To appear in PRD

Phys.Rev.D78:023501,2008

10.1103/PhysRevD.78.023501

UB-ECM-PF-07/35, DAMTP-2007-121

hep-th astro-ph

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

We study the dynamics and evolution of Nambu-Goto strings in a warped spacetime, where the warp factor is a function of the internal coordinates giving rise to a `throat' region. The microscopic equations of motion for strings in this background include potential and friction terms, which attract the strings towards the bottom of the warping throat. However, by considering the resulting macroscopic equations for the velocities of strings in the vicinity of the throat, we note the absence of enough classical damping to guarantee that the strings actually reach the warped minimum and stabilise there. Instead, our classical analysis supports a picture in which the strings experience mere deflections and bounces around the tip, rather than strongly damped oscillations. Indeed, 4D Hubble friction is inefficient in the internal dimensions and there is no other classical mechanism known, which could provide efficient damping. These results have potentially important implications for the intercommuting probabilities of cosmic superstrings.

[ { "created": "Wed, 19 Dec 2007 16:15:10 GMT", "version": "v1" }, { "created": "Wed, 11 Jun 2008 15:05:10 GMT", "version": "v2" } ]

2008-11-26

[ [ "Avgoustidis", "A.", "" ] ]

We study the dynamics and evolution of Nambu-Goto strings in a warped spacetime, where the warp factor is a function of the internal coordinates giving rise to a `throat' region. The microscopic equations of motion for strings in this background include potential and friction terms, which attract the strings towards the bottom of the warping throat. However, by considering the resulting macroscopic equations for the velocities of strings in the vicinity of the throat, we note the absence of enough classical damping to guarantee that the strings actually reach the warped minimum and stabilise there. Instead, our classical analysis supports a picture in which the strings experience mere deflections and bounces around the tip, rather than strongly damped oscillations. Indeed, 4D Hubble friction is inefficient in the internal dimensions and there is no other classical mechanism known, which could provide efficient damping. These results have potentially important implications for the intercommuting probabilities of cosmic superstrings.

13.764262

13.483789

14.567923

12.833907

14.560124

12.379443

12.999225

12.676059

13.027091

13.719983

12.764484

13.330108

12.687034

12.843179

12.924479

13.161119

13.075656

12.489928

12.544293

12.530298

13.075126

hep-th/0211217

Cheol Ryou

Youngjai Kiem, Yoonbai Kim, Jaemo Park, Cheol Ryou

Chiral primary cubic interactions from pp-wave supergravity

14 pages, A few comments are added

JHEP 0301 (2003) 026

10.1088/1126-6708/2003/01/026

null

hep-th

null

We explicitly construct cubic interaction light-cone Hamiltonian for the chiral primary system involving the metric fields and the self-dual four-form fields in the IIB pp-wave supergravity. The background fields representing pp-waves exhibit SO(4)*SO(4)*Z_2 invariance. It turns out that the interaction Hamiltonian is precisely the same as that for the dilaton-axion system, except for the fact that the chiral primary system fields have the opposite parity to that of the dilaton-axion fields under the Z_2 transformation that exchanges two SO(4)'s.

[ { "created": "Fri, 22 Nov 2002 14:37:58 GMT", "version": "v1" }, { "created": "Tue, 28 Jan 2003 10:49:39 GMT", "version": "v2" } ]

2009-11-07

[ [ "Kiem", "Youngjai", "" ], [ "Kim", "Yoonbai", "" ], [ "Park", "Jaemo", "" ], [ "Ryou", "Cheol", "" ] ]

We explicitly construct cubic interaction light-cone Hamiltonian for the chiral primary system involving the metric fields and the self-dual four-form fields in the IIB pp-wave supergravity. The background fields representing pp-waves exhibit SO(4)*SO(4)*Z_2 invariance. It turns out that the interaction Hamiltonian is precisely the same as that for the dilaton-axion system, except for the fact that the chiral primary system fields have the opposite parity to that of the dilaton-axion fields under the Z_2 transformation that exchanges two SO(4)'s.

10.222122

9.39715

10.337717

8.743019

9.341274

9.326164

9.627989

8.632096

9.236711

11.728574

8.774157

8.537482

9.756294

9.254992

8.126053

8.969419

8.631367

8.958727

9.007464

9.618527

8.569727

1105.0481

Prasanta K. Tripathy

Pramod Dominic and Prasanta K. Tripathy

On the Stability of Non-Supersymmetric Quantum Attractors in String Theory

References Added, Typos Corrected, Appendix A.2 Reordered

null

10.1007/JHEP06(2011)112

IITM/PH/TH/2011/4

hep-th

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

We study four dimensional non-supersymmetric attractors in type IIA string theory in the presence of sub-leading corrections to the prepotential. For a given Calabi-Yau manifold, the D0-D4 system admits an attractor point in the moduli space which is uniquely specified by the black hole charges. The perturbative corrections to the prepotential do not change the number of massless directions in the black hole effective potential. We further study non-supersymmetric D0-D6 black holes in the presence of sub-leading corrections. In this case the space of attractor points define a hypersurface in the moduli space.

[ { "created": "Tue, 3 May 2011 06:10:34 GMT", "version": "v1" }, { "created": "Wed, 4 May 2011 19:48:00 GMT", "version": "v2" }, { "created": "Sat, 7 May 2011 14:39:06 GMT", "version": "v3" } ]

2015-05-28

[ [ "Dominic", "Pramod", "" ], [ "Tripathy", "Prasanta K.", "" ] ]

We study four dimensional non-supersymmetric attractors in type IIA string theory in the presence of sub-leading corrections to the prepotential. For a given Calabi-Yau manifold, the D0-D4 system admits an attractor point in the moduli space which is uniquely specified by the black hole charges. The perturbative corrections to the prepotential do not change the number of massless directions in the black hole effective potential. We further study non-supersymmetric D0-D6 black holes in the presence of sub-leading corrections. In this case the space of attractor points define a hypersurface in the moduli space.

6.120644

5.304115

6.69759

5.460881

6.026244

5.611522

5.735969

5.252941

5.610191

6.867408

5.415753

5.585466

6.067833

5.894336

5.939857

5.899194

5.781247

5.64861

6.002387

5.967426

5.757578

2403.10594

Shruti Paranjape

Christoph Bartsch, Taro V. Brown, Karol Kampf, Umut Oktem, Shruti Paranjape, Jaroslav Trnka

Hidden Amplitude Zeros From Double Copy

1 figure, 2 tables

null

hep-th

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

Recently, Arkani-Hamed et al. proposed the existence of zeros in scattering amplitudes in certain quantum field theories including the cubic adjoint scalar theory Tr($\phi^3$), the $SU(N)$ non-linear sigma model (NLSM) and Yang-Mills (YM) theory. These hidden zeros are special kinematic points where the amplitude vanishes and factorizes into a product of lower-point amplitudes, similar to factorization near poles. In this letter, we show a close connection between the existence of such zeros and color-kinematics duality. In fact, all zeros can be derived from the Bern-Carrasco-Johansson (BCJ) relations. We also show that these zeros extend via the Kawai-Lewellen-Tye (KLT) relations to special Galileon amplitudes and their corrections, evincing that these hidden zeros are also present in permutation-invariant amplitudes.

[ { "created": "Fri, 15 Mar 2024 18:00:00 GMT", "version": "v1" } ]

2024-03-19

[ [ "Bartsch", "Christoph", "" ], [ "Brown", "Taro V.", "" ], [ "Kampf", "Karol", "" ], [ "Oktem", "Umut", "" ], [ "Paranjape", "Shruti", "" ], [ "Trnka", "Jaroslav", "" ] ]

Recently, Arkani-Hamed et al. proposed the existence of zeros in scattering amplitudes in certain quantum field theories including the cubic adjoint scalar theory Tr($\phi^3$), the $SU(N)$ non-linear sigma model (NLSM) and Yang-Mills (YM) theory. These hidden zeros are special kinematic points where the amplitude vanishes and factorizes into a product of lower-point amplitudes, similar to factorization near poles. In this letter, we show a close connection between the existence of such zeros and color-kinematics duality. In fact, all zeros can be derived from the Bern-Carrasco-Johansson (BCJ) relations. We also show that these zeros extend via the Kawai-Lewellen-Tye (KLT) relations to special Galileon amplitudes and their corrections, evincing that these hidden zeros are also present in permutation-invariant amplitudes.

7.273136

6.24083

7.66021

6.307148

6.674705

6.622334

6.319045

6.185618

6.01086

8.640171

6.647913

6.602395

6.97519

6.567267

6.783865

6.651752

6.58177

6.545608

6.686132

7.03055

6.697658

0910.4898

Paul Heslop

Andreas Brandhuber, Paul Heslop, Valentin V. Khoze, Gabriele Travaglini

Simplicity of Polygon Wilson Loops in N=4 SYM

28 pages, 11 figures, pdflatex. v2 minor typos corrected

JHEP 1001:050,2010

10.1007/JHEP01(2010)050

IPPP/09/83, DCPT/09/166, QMUL-PH-09-23

hep-th hep-ph

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

Wilson loops with lightlike polygonal contours have been conjectured to be equivalent to MHV scattering amplitudes in N=4 super Yang-Mills. We compute such Wilson loops for special polygonal contours at two loops in perturbation theory. Specifically, we concentrate on the remainder function R, obtained by subtracting the known ABDK/BDS ansatz from the Wilson loop. First, we consider a particular two-dimensional eight-point kinematics studied at strong coupling by Alday and Maldacena. We find numerical evidence that R is the same at weak and at strong coupling, up to an overall, coupling-dependent constant. This suggests a universality of the remainder function at strong and weak coupling for generic null polygonal Wilson loops, and therefore for arbitrary MHV amplitudes in N=4 super Yang-Mills. We analyse the consequences of this statement. We further consider regular n-gons, and find that the remainder function is linear in n at large n through numerical computations performed up to n=30. This reproduces a general feature of the corresponding strong-coupling result.

[ { "created": "Mon, 26 Oct 2009 14:54:06 GMT", "version": "v1" }, { "created": "Mon, 28 Jun 2010 12:21:42 GMT", "version": "v2" } ]

2010-06-29

[ [ "Brandhuber", "Andreas", "" ], [ "Heslop", "Paul", "" ], [ "Khoze", "Valentin V.", "" ], [ "Travaglini", "Gabriele", "" ] ]

Wilson loops with lightlike polygonal contours have been conjectured to be equivalent to MHV scattering amplitudes in N=4 super Yang-Mills. We compute such Wilson loops for special polygonal contours at two loops in perturbation theory. Specifically, we concentrate on the remainder function R, obtained by subtracting the known ABDK/BDS ansatz from the Wilson loop. First, we consider a particular two-dimensional eight-point kinematics studied at strong coupling by Alday and Maldacena. We find numerical evidence that R is the same at weak and at strong coupling, up to an overall, coupling-dependent constant. This suggests a universality of the remainder function at strong and weak coupling for generic null polygonal Wilson loops, and therefore for arbitrary MHV amplitudes in N=4 super Yang-Mills. We analyse the consequences of this statement. We further consider regular n-gons, and find that the remainder function is linear in n at large n through numerical computations performed up to n=30. This reproduces a general feature of the corresponding strong-coupling result.

7.698762

6.953243

8.678497

7.013568

7.378803

7.613032

7.155097

6.777768

6.916232

9.135925

7.321272

7.264776

7.559191

7.272016

7.481199

7.298144

7.495554

7.098376

7.328434

7.742499

7.089439

hep-th/0210089

Matthias Blau

Giovanni Arcioni, Matthias Blau, Martin O'Loughlin

On the Boundary Dynamics of Chern-Simons Gravity

22 pages, LaTeX2e, v2: JHEP3.cls, references and a footnote added

JHEP 0301:067,2003

10.1088/1126-6708/2003/01/067

null

hep-th gr-qc

null

We study Chern-Simons theory with a complex G_C or a real G x G gauge group on a manifold with boundary - this includes Lorentzian and Euclidean (anti-) de Sitter (E/A)dS gravity for G=SU(2) or G=SL(2,R). We show that there is a canonical choice of boundary conditions that leads to an unambiguous, fully covariant and gauge invariant, off-shell derivation of the boundary action - a G_C/G or G WZW model, coupled in a gauge invariant way to the boundary value of the gauge field. In particular, for (E/A)dS gravity, the boundary action is a WZW model with target space (E/A)dS_3, reminiscent of a worldsheet for worldsheet mechanism. We discuss in some detail the properties of the boundary theories that arise and we confront our results with various related constructions in the literature.

[ { "created": "Wed, 9 Oct 2002 19:05:41 GMT", "version": "v1" }, { "created": "Mon, 16 Dec 2002 17:27:43 GMT", "version": "v2" } ]

2014-11-18

[ [ "Arcioni", "Giovanni", "" ], [ "Blau", "Matthias", "" ], [ "O'Loughlin", "Martin", "" ] ]

We study Chern-Simons theory with a complex G_C or a real G x G gauge group on a manifold with boundary - this includes Lorentzian and Euclidean (anti-) de Sitter (E/A)dS gravity for G=SU(2) or G=SL(2,R). We show that there is a canonical choice of boundary conditions that leads to an unambiguous, fully covariant and gauge invariant, off-shell derivation of the boundary action - a G_C/G or G WZW model, coupled in a gauge invariant way to the boundary value of the gauge field. In particular, for (E/A)dS gravity, the boundary action is a WZW model with target space (E/A)dS_3, reminiscent of a worldsheet for worldsheet mechanism. We discuss in some detail the properties of the boundary theories that arise and we confront our results with various related constructions in the literature.

9.863558

11.169813

10.562934

10.049283

9.915364

10.42543

10.678129

10.626267

9.917166

12.398674

10.001739

9.955035

10.181317

9.740366

9.734815

10.001057

9.683615

9.895436

9.755198

10.866594

9.571318

0909.2219

Sante Carloni Dr

Sante Carloni, Emilio Elizalde, Pedro J. Silva

An analysis of the phase space of Horava-Lifshitz cosmologies

12 pages, some typos corrected, some references added

null

10.1088/0264-9381/27/4/045004

null

hep-th astro-ph.CO gr-qc

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

Using the dynamical system approach, properties of cosmological models based on the Horava-Lifshitz gravity are systematically studied. In particular, the cosmological phase space of the Horava-Lifshitz model is characterized. The analysis allows to compare some key physical consequences of the imposition (or not) of detailed balance. A result of the investigation is that in the detailed balance case one of the attractors in the theory corresponds to an oscillatory behavior. Such oscillations can be associated to a bouncing universe, as previously described by Brandenberger, and will prevent a possible evolution towards a de Sitter universe. Other results obtained show that the cosmological models generated by Horava-Lifshitz gravity without the detailed balance assumption have indeed the potential to describe the transition between the Friedmann and the dark energy eras. The whole analysis leads to the plausible conclusion that a cosmology compatible with the present observations of the universe can be achieved only if the detailed balance condition is broken.

[ { "created": "Fri, 11 Sep 2009 19:04:36 GMT", "version": "v1" }, { "created": "Mon, 26 Oct 2009 14:22:45 GMT", "version": "v2" } ]

2015-05-14

[ [ "Carloni", "Sante", "" ], [ "Elizalde", "Emilio", "" ], [ "Silva", "Pedro J.", "" ] ]

Using the dynamical system approach, properties of cosmological models based on the Horava-Lifshitz gravity are systematically studied. In particular, the cosmological phase space of the Horava-Lifshitz model is characterized. The analysis allows to compare some key physical consequences of the imposition (or not) of detailed balance. A result of the investigation is that in the detailed balance case one of the attractors in the theory corresponds to an oscillatory behavior. Such oscillations can be associated to a bouncing universe, as previously described by Brandenberger, and will prevent a possible evolution towards a de Sitter universe. Other results obtained show that the cosmological models generated by Horava-Lifshitz gravity without the detailed balance assumption have indeed the potential to describe the transition between the Friedmann and the dark energy eras. The whole analysis leads to the plausible conclusion that a cosmology compatible with the present observations of the universe can be achieved only if the detailed balance condition is broken.

9.235453

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9.073698

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9.300279

9.557435

9.331522

9.118118

8.993684

9.483394

9.19201

9.046893

9.125593

8.799392

8.920656

8.729363

8.919182

8.878038

9.33281

9.087271

8.805307

hep-th/0608067

Peter Orland

String Tensions and Representations in Anisotropic 2+1-Dimensional Weakly-Coupled Yang-Mills Theory

Some added clarifications included. Now ten pages

Phys.Rev.D75:025001,2007

10.1103/PhysRevD.75.025001

BCCUNY-HEP/06-03

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

null

In earlier papers we established quark confinement analytically in anisotropic $(2+1)$-dimensional Yang-Mills theory with two gauge coupling constants. Here we point out a few features of the confining phase. These are: 1) the string tension in the $x^{2}$-direction as a function of representation obeys a sine law, and 2) static adjoint sources are not confined.

[ { "created": "Thu, 10 Aug 2006 09:57:57 GMT", "version": "v1" }, { "created": "Sat, 19 Aug 2006 18:20:07 GMT", "version": "v2" }, { "created": "Fri, 6 Oct 2006 18:58:36 GMT", "version": "v3" } ]

2008-11-26

[ [ "Orland", "Peter", "" ] ]

In earlier papers we established quark confinement analytically in anisotropic $(2+1)$-dimensional Yang-Mills theory with two gauge coupling constants. Here we point out a few features of the confining phase. These are: 1) the string tension in the $x^{2}$-direction as a function of representation obeys a sine law, and 2) static adjoint sources are not confined.

10.68037

10.438856

10.828904

11.010333

10.896567

9.888621

10.626346

9.730172

10.159104

10.638988

9.371443

9.722631

10.48313

10.28737

10.044933

9.712817

9.986913

9.948565

10.03761

10.186884

9.332457

hep-th/0202199

Robertus Potting

Yu.A. Kubyshin, R. Neves and R. Potting

Solutions of the Polchinski ERG equation in the O(N) scalar model

34 pages, 10 figures. References added. Version accepted for publication in the International Journal of Modern Physics A

Int.J.Mod.Phys. A17 (2002) 4871-4902

10.1142/S0217751X02011400

null

hep-th

null

Solutions of the Polchinski exact renormalization group equation in the scalar O(N) theory are studied. Families of regular solutions are found and their relation with fixed points of the theory is established. Special attention is devoted to the limit $N=\infty$, where many properties can be analyzed analytically.

[ { "created": "Wed, 27 Feb 2002 23:43:05 GMT", "version": "v1" }, { "created": "Mon, 30 Sep 2002 15:29:40 GMT", "version": "v2" } ]

2009-11-07

[ [ "Kubyshin", "Yu. A.", "" ], [ "Neves", "R.", "" ], [ "Potting", "R.", "" ] ]

Solutions of the Polchinski exact renormalization group equation in the scalar O(N) theory are studied. Families of regular solutions are found and their relation with fixed points of the theory is established. Special attention is devoted to the limit $N=\infty$, where many properties can be analyzed analytically.

8.642332

6.833098

7.69785

6.542166

7.02796

7.027023

6.814867

6.634995

6.612582

8.293789

6.509502

7.215629

7.248459

6.991829

7.071621

6.737326

6.679924

6.994174

7.103399

7.355439

6.863624

hep-th/0007094

Emilio Elizalde

E. Elizalde

Matching the observational value of the cosmological constant

13 pages, no figures, LaTeX

Phys.Lett. B516 (2001) 143-150

10.1016/S0370-2693(01)00921-2

IEEC/CSM-00-63

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

null

A simple model is introduced in which the cosmological constant is interpreted as a true Casimir effect on a scalar field filling the universe (e.g. $\mathbf{R} \times \mathbf{T}^p\times \mathbf{T}^q$, $\mathbf{R} \times \mathbf{T}^p\times \mathbf{S}^q, ...$). The effect is driven by compactifying boundary conditions imposed on some of the coordinates, associated both with large and small scales. The very small -but non zero- value of the cosmological constant obtained from recent astrophysical observations can be perfectly matched with the results coming from the model, by playing just with the numbers of -actually compactified- ordinary and tiny dimensions, and being the compactification radius (for the last) in the range $(1-10^3) l_{Pl}$, where $l_{Pl}$ is the Planck length. This corresponds to solving, in a way, what has been termed by Weinberg the {\it new} cosmological constant problem. Moreover, a marginally closed universe is favored by the model, again in coincidence with independent analysis of the observational results.

[ { "created": "Wed, 12 Jul 2000 15:19:04 GMT", "version": "v1" }, { "created": "Tue, 15 May 2001 17:56:56 GMT", "version": "v2" } ]

2009-10-31

[ [ "Elizalde", "E.", "" ] ]

A simple model is introduced in which the cosmological constant is interpreted as a true Casimir effect on a scalar field filling the universe (e.g. $\mathbf{R} \times \mathbf{T}^p\times \mathbf{T}^q$, $\mathbf{R} \times \mathbf{T}^p\times \mathbf{S}^q, ...$). The effect is driven by compactifying boundary conditions imposed on some of the coordinates, associated both with large and small scales. The very small -but non zero- value of the cosmological constant obtained from recent astrophysical observations can be perfectly matched with the results coming from the model, by playing just with the numbers of -actually compactified- ordinary and tiny dimensions, and being the compactification radius (for the last) in the range $(1-10^3) l_{Pl}$, where $l_{Pl}$ is the Planck length. This corresponds to solving, in a way, what has been termed by Weinberg the {\it new} cosmological constant problem. Moreover, a marginally closed universe is favored by the model, again in coincidence with independent analysis of the observational results.

9.658388

9.814791

9.743409

9.346024

10.201765

9.99118

10.332007

9.451117

9.509932

9.686687

9.425506

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9.27243

9.239281

9.180793

9.229827

9.342463

9.252845

9.092699

9.243537

8.93891

1312.0895

Andrey Sadofyev

V.P. Kirilin, A.V. Sadofyev, V.I. Zakharov

Anomaly and long-range forces

14 pages, conference talk

null

10.1142/9789814616850_0014

null

hep-th

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

We consider infrared dependences of chiral effects, like chiral magnetic effect, in chiral media. The main observation is that there exist competing infrared-sensitive parameters, sometimes not apparent. The value of the chiral effects depends in fact on the actual hierarchy of the parameters. Some examples have been already given in the literature. We argue that magnetostatics of chiral media with a non-vanishing chiral chemical potential $\mu_5\neq 0$ is also infrared sensitive. In particular, the system turns to be unstable if the volume is large enough. The instability is with respect to the decay of the system into domains of non-vanishing magnetic field with non-trivial helicity.

[ { "created": "Tue, 3 Dec 2013 18:19:43 GMT", "version": "v1" } ]

2017-08-23

[ [ "Kirilin", "V. P.", "" ], [ "Sadofyev", "A. V.", "" ], [ "Zakharov", "V. I.", "" ] ]

We consider infrared dependences of chiral effects, like chiral magnetic effect, in chiral media. The main observation is that there exist competing infrared-sensitive parameters, sometimes not apparent. The value of the chiral effects depends in fact on the actual hierarchy of the parameters. Some examples have been already given in the literature. We argue that magnetostatics of chiral media with a non-vanishing chiral chemical potential $\mu_5\neq 0$ is also infrared sensitive. In particular, the system turns to be unstable if the volume is large enough. The instability is with respect to the decay of the system into domains of non-vanishing magnetic field with non-trivial helicity.

11.984135

10.480782

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10.674294

10.150542

10.569749

10.871751

11.009284

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10.637889

11.052141

10.475077

10.714015

10.987596

10.745187

10.932615

10.751452

11.414403

10.793102

2308.14704

Atanu Bhatta

Atanu Bhatta, Shankhadeep Chakrabortty, Taniya Mandal, Arpit Maurya

Holographic Thermal Correlators for Hyperbolic $CFT$s

17 pages, 7 tables, references added, matches the version published in JHEP

null

10.1007/JHEP11(2023)156

null

hep-th

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

We use holography to compute the exact form of retarded Green's functions for a scalar operator with conformal dimension $\Delta$ in a thermal CFT and in its related counterpart with chemical potential in $R^1 \times H^3$. In our analysis, we recast the wave equation of a scalar field in the normal form of Heun's equation in the dual gravity theories described by the AdS hyperbolic blackhole and its charged version. Heun's equation is identified to the semiclassical limit of the BPZ equation for a five-point correlator with one degenerate field insertion in the Liouville theory on the Riemann sphere. The crossing symmetry of conformal block in the Liouville theory eventually gives rise to a set of connection formulas among the solutions of Heun's equation evaluated at different regular singularities. We use the connection formula to reproduce the leading order behaviors of the scalar field near the horizon as well as near the boundary and achieve the exact form of the retarded thermal Green's function. We show a recipe to obtain the exact retarded Green's function for a thermal CFT dual to AdS blackbrane from a high-temperature limit accompanied by a complex mapping on AdS hyperbolic blackhole. Moreover, we show the retarded Green's function for the boundary CFT of Rindler AdS spacetime admits a free integer parameter.

[ { "created": "Mon, 28 Aug 2023 16:57:29 GMT", "version": "v1" }, { "created": "Sun, 26 Nov 2023 14:24:26 GMT", "version": "v2" } ]

2023-11-28

[ [ "Bhatta", "Atanu", "" ], [ "Chakrabortty", "Shankhadeep", "" ], [ "Mandal", "Taniya", "" ], [ "Maurya", "Arpit", "" ] ]

We use holography to compute the exact form of retarded Green's functions for a scalar operator with conformal dimension $\Delta$ in a thermal CFT and in its related counterpart with chemical potential in $R^1 \times H^3$. In our analysis, we recast the wave equation of a scalar field in the normal form of Heun's equation in the dual gravity theories described by the AdS hyperbolic blackhole and its charged version. Heun's equation is identified to the semiclassical limit of the BPZ equation for a five-point correlator with one degenerate field insertion in the Liouville theory on the Riemann sphere. The crossing symmetry of conformal block in the Liouville theory eventually gives rise to a set of connection formulas among the solutions of Heun's equation evaluated at different regular singularities. We use the connection formula to reproduce the leading order behaviors of the scalar field near the horizon as well as near the boundary and achieve the exact form of the retarded thermal Green's function. We show a recipe to obtain the exact retarded Green's function for a thermal CFT dual to AdS blackbrane from a high-temperature limit accompanied by a complex mapping on AdS hyperbolic blackhole. Moreover, we show the retarded Green's function for the boundary CFT of Rindler AdS spacetime admits a free integer parameter.

10.143033

9.704069

10.799061

9.25404

9.483539

9.505333

9.791162

9.166943

9.376038

11.581774

9.476222

9.624896

10.541287

9.547743

9.561367

9.549133

9.64858

9.502183

9.646253

10.416642

9.475106

2310.07823

Horatiu Stefan Nastase

Andr\'es Anabal\'on and Horatiu Nastase

Universal IR Holography, Scalar Fluctuations and Glueball spectra

17 pages, 3 figures; reference added; clarifications added, published version

null

hep-th

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

We show that the d'Alembertian operator with a possible mass term in the AdS soliton and more general confining gravity dual backrounds admits infinitely many different spectra. These can be interpreted as different theories in the infrared and correspond to multitrace deformations of either the Dirichlet or the Neumann theory. We prove that all these fluctuations are normalizable and provide examples of their spectra. Therefore, the AdS soliton can be interpreted as giving a holographic RG flow between an universal UV theory at the AdS boundary and these infinitely many possibilities in the IR, obtained by deformations. The massive spectrum of the double trace deformation in $AdS_5$ allows the matching of the large-$N$ glueball masses of lattice $QCD_3$; the ratio of the ground states of the $2^{++}$ and $0^{++}$ channels are in full agreement with the lattice prediction. When considering $AdS_7$ and the 4-dimensional pure glue theory, a remarkably general picture emerges, where we can write formulas for the fluctuations that are in agreement with ones from holographic high-energy scattering and from AdS/CFT with IR and UV cut-off. We point out that this log branch in the IR in $D$-dimensions can be seen as the usual logarithmic branch of scalar fields saturating the Breitenlohner-Freedman bound in a conformally rescaled metric, with $AdS_{D-1}\times S^1$ asymptotics.

[ { "created": "Wed, 11 Oct 2023 19:04:10 GMT", "version": "v1" }, { "created": "Mon, 23 Oct 2023 18:59:10 GMT", "version": "v2" }, { "created": "Mon, 1 Apr 2024 18:22:43 GMT", "version": "v3" } ]

2024-04-03

[ [ "Anabalón", "Andrés", "" ], [ "Nastase", "Horatiu", "" ] ]

We show that the d'Alembertian operator with a possible mass term in the AdS soliton and more general confining gravity dual backrounds admits infinitely many different spectra. These can be interpreted as different theories in the infrared and correspond to multitrace deformations of either the Dirichlet or the Neumann theory. We prove that all these fluctuations are normalizable and provide examples of their spectra. Therefore, the AdS soliton can be interpreted as giving a holographic RG flow between an universal UV theory at the AdS boundary and these infinitely many possibilities in the IR, obtained by deformations. The massive spectrum of the double trace deformation in $AdS_5$ allows the matching of the large-$N$ glueball masses of lattice $QCD_3$; the ratio of the ground states of the $2^{++}$ and $0^{++}$ channels are in full agreement with the lattice prediction. When considering $AdS_7$ and the 4-dimensional pure glue theory, a remarkably general picture emerges, where we can write formulas for the fluctuations that are in agreement with ones from holographic high-energy scattering and from AdS/CFT with IR and UV cut-off. We point out that this log branch in the IR in $D$-dimensions can be seen as the usual logarithmic branch of scalar fields saturating the Breitenlohner-Freedman bound in a conformally rescaled metric, with $AdS_{D-1}\times S^1$ asymptotics.

12.58523

12.974407

13.381451

12.63948

12.885065

12.954348

13.428099

12.185284

12.150394

14.873099

12.369414

12.580241

12.399221

12.241334

12.4621

12.624307

12.623871

12.650218

12.394188

12.60427

12.269284

1501.01394

George Savvidy K

George Savvidy

The Gonihedric Paradigm Extensions of the Ising Model

19 pages, 7 figures, International Conference on Statistical Physics 2014 - SigmaPhi2014, 7-11 July 2014, Rhodes, Greece, references added

null

10.1142/S0217984915502036

NRCPS-HE-1-2015

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

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

We suggest a generalization of the Feynman path integral to an integral over random surfaces. The proposed action is proportional to the linear size of the random surfaces and is called gonihedric. The convergence and the properties of the partition function are analysed. The model can also be formulated as a spin system with identical partition function. The spin system represents a generalisation of the Ising model with ferromagnetic, antiferromagnetic and quartic interactions. Higher symmetry of the model allows to construct dual spin systems in three and four dimensions. In three dimensions the transfer matrix describes the propagation of closed loops and we found its exact spectrum. It is a unique exact solution of the tree-dimensional statistical spin system. In three and four dimensions the system exhibits the second order phase transitions. The gonihedric spin systems have exponentially degenerated vacuum states separated by the potential barriers and can be used as a storage of binary information.

[ { "created": "Wed, 7 Jan 2015 08:45:18 GMT", "version": "v1" }, { "created": "Mon, 7 Dec 2015 09:30:40 GMT", "version": "v2" }, { "created": "Mon, 12 Dec 2016 19:22:58 GMT", "version": "v3" } ]

2016-12-13

[ [ "Savvidy", "George", "" ] ]

We suggest a generalization of the Feynman path integral to an integral over random surfaces. The proposed action is proportional to the linear size of the random surfaces and is called gonihedric. The convergence and the properties of the partition function are analysed. The model can also be formulated as a spin system with identical partition function. The spin system represents a generalisation of the Ising model with ferromagnetic, antiferromagnetic and quartic interactions. Higher symmetry of the model allows to construct dual spin systems in three and four dimensions. In three dimensions the transfer matrix describes the propagation of closed loops and we found its exact spectrum. It is a unique exact solution of the tree-dimensional statistical spin system. In three and four dimensions the system exhibits the second order phase transitions. The gonihedric spin systems have exponentially degenerated vacuum states separated by the potential barriers and can be used as a storage of binary information.

10.231849

11.135642

11.337274

10.343449

10.777596

10.65517

11.2025

10.326781

10.551004

11.311737

10.594254

10.30599

10.029663

10.181144

10.261335

10.481315

10.288576

9.812252

10.199783

10.497373

10.009095

hep-th/0211113

Ergin Sezgin

J. Engquist, E. Sezgin and P. Sundell

Superspace Formulation of 4D Higher Spin Gauge Theory

24 pp

Nucl.Phys. B664 (2003) 439-456

10.1016/S0550-3213(03)00411-5

null

hep-th

null

Interacting AdS_4 higher spin gauge theories with N \geq 1 supersymmetry so far have been formulated as constrained systems of differential forms living in a twistor extension of 4D spacetime. Here we formulate the minimal N=1 theory in superspace, leaving the internal twistor space intact. Remarkably, the superspace constraints have the same form as those defining the theory in ordinary spacetime. This construction generalizes straightforwardly to higher spin gauge theories N>1 supersymmetry.

[ { "created": "Wed, 13 Nov 2002 07:26:34 GMT", "version": "v1" } ]

2010-04-05

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

Interacting AdS_4 higher spin gauge theories with N \geq 1 supersymmetry so far have been formulated as constrained systems of differential forms living in a twistor extension of 4D spacetime. Here we formulate the minimal N=1 theory in superspace, leaving the internal twistor space intact. Remarkably, the superspace constraints have the same form as those defining the theory in ordinary spacetime. This construction generalizes straightforwardly to higher spin gauge theories N>1 supersymmetry.

12.394171

10.837208

12.392194

10.594882

10.352234

11.319483

10.613485

11.38036

10.385862

14.607739

9.769594

9.922398

10.042634

10.045333

9.847631

10.131574

9.784219

9.997969

9.679073

11.044447

10.03885

1010.5789

Peter Patalong

Dieter Lust, Peter Patalong and Dimitrios Tsimpis

Generalized geometry, calibrations and supersymmetry in diverse dimensions

28 pages, 1 table

JHEP 1101:063,2011

10.1007/JHEP01(2011)063

null

hep-th

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

We consider type II backgrounds of the form R^{1,d-1} x M^{10-d} for even d, preserving 2^{d/2} real supercharges; for d = 4, 6, 8 this is minimal supersymmetry in d dimensions, while for d = 2 it is N = (2,0) supersymmetry in two dimensions. For d = 6 we prove, by explicitly solving the Killing-spinor equations, that there is a one-to-one correspondence between background supersymmetry equations in pure-spinor form and D-brane generalized calibrations; this correspondence had been known to hold in the d = 4 case. Assuming the correspondence to hold for all d, we list the calibration forms for all admissible D-branes, as well as the background supersymmetry equations in pure-spinor form. We find a number of general features, including the following: The pattern of codimensions at which each calibration form appears exhibits a (mod 4) periodicity. In all cases one of the pure-spinor equations implies that the internal manifold is generalized Calabi-Yau. Our results are manifestly invariant under generalized mirror symmetry.

[ { "created": "Wed, 27 Oct 2010 20:00:12 GMT", "version": "v1" } ]

2011-01-27

[ [ "Lust", "Dieter", "" ], [ "Patalong", "Peter", "" ], [ "Tsimpis", "Dimitrios", "" ] ]

We consider type II backgrounds of the form R^{1,d-1} x M^{10-d} for even d, preserving 2^{d/2} real supercharges; for d = 4, 6, 8 this is minimal supersymmetry in d dimensions, while for d = 2 it is N = (2,0) supersymmetry in two dimensions. For d = 6 we prove, by explicitly solving the Killing-spinor equations, that there is a one-to-one correspondence between background supersymmetry equations in pure-spinor form and D-brane generalized calibrations; this correspondence had been known to hold in the d = 4 case. Assuming the correspondence to hold for all d, we list the calibration forms for all admissible D-branes, as well as the background supersymmetry equations in pure-spinor form. We find a number of general features, including the following: The pattern of codimensions at which each calibration form appears exhibits a (mod 4) periodicity. In all cases one of the pure-spinor equations implies that the internal manifold is generalized Calabi-Yau. Our results are manifestly invariant under generalized mirror symmetry.

7.338549

6.798236

9.194036

6.869365

6.836032

7.008081

7.111403

6.505209

7.076135

9.392724

6.884737

7.025739

7.714825

6.999219

7.305211

6.814355

7.107192

6.871878

7.04184

7.589729

6.868736

2306.00990

Upamanyu Moitra

Atish Dabholkar, Upamanyu Moitra

Finite Entanglement Entropy in String Theory

6 pages; two-column format

null

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

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

We analyze the one-loop quantum entanglement entropy in ten-dimensional Type-II string theory using the orbifold method by analytically continuing in $N$ the genus-one partition function for string orbifolds on $\mathbb{R}^2/\mathbb{Z}_N$ conical spaces known for all odd integers $N > 1$. We show that the tachyonic contributions to the orbifold partition function can be appropriately summed and analytically continued to an expression that is finite in the physical region $0 < N \leq 1$ resulting in a finite and calculable answer for the entanglement entropy. We discuss the implications of the finiteness of the entanglement entropy for the information paradox, quantum gravity, and holography.

[ { "created": "Thu, 1 Jun 2023 17:59:59 GMT", "version": "v1" } ]

2023-06-02

[ [ "Dabholkar", "Atish", "" ], [ "Moitra", "Upamanyu", "" ] ]

We analyze the one-loop quantum entanglement entropy in ten-dimensional Type-II string theory using the orbifold method by analytically continuing in $N$ the genus-one partition function for string orbifolds on $\mathbb{R}^2/\mathbb{Z}_N$ conical spaces known for all odd integers $N > 1$. We show that the tachyonic contributions to the orbifold partition function can be appropriately summed and analytically continued to an expression that is finite in the physical region $0 < N \leq 1$ resulting in a finite and calculable answer for the entanglement entropy. We discuss the implications of the finiteness of the entanglement entropy for the information paradox, quantum gravity, and holography.

7.847994

6.670697

7.692276

6.938012

7.062685

7.813941

7.168683

6.459571

7.149696

8.974417

6.812081

6.994638

7.217122

7.221431

7.209777

7.32964

7.373562

7.104756

7.251377

7.626504

7.08106

1708.07981

Mahdis Ghodrati

On complexity growth in massive gravity theories, the effects of chirality and more

33 pages, 3 figures

Phys. Rev. D 96, 106020 (2017)

10.1103/PhysRevD.96.106020

null

hep-th gr-qc

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

To study the effect of parity-violation on the rate of complexity growth, by using "Complexity=Action" conjecture, we find the complexity growth rates in different solutions of the chiral theory of Topologically Massive Gravity (TMG) and parity-preserving theory of New Massive Gravity (NMG). Using the results, one can see that decreasing the parameter $\mu$, which increases the effect of Chern-Simons term and increases chirality, would increase the rate of growth of complexity. Also one can observe a stronger correlation between complexity growth and temperature rather than complexity growth and entropy. At the end we comment on the possible meaning of the deforming term of chiral Liouville action for the rate of complexity growth of warped CFTs in the Tensor Network Renormalization picture.

[ { "created": "Sat, 26 Aug 2017 14:51:18 GMT", "version": "v1" } ]

2017-12-01

[ [ "Ghodrati", "Mahdis", "" ] ]

To study the effect of parity-violation on the rate of complexity growth, by using "Complexity=Action" conjecture, we find the complexity growth rates in different solutions of the chiral theory of Topologically Massive Gravity (TMG) and parity-preserving theory of New Massive Gravity (NMG). Using the results, one can see that decreasing the parameter $\mu$, which increases the effect of Chern-Simons term and increases chirality, would increase the rate of growth of complexity. Also one can observe a stronger correlation between complexity growth and temperature rather than complexity growth and entropy. At the end we comment on the possible meaning of the deforming term of chiral Liouville action for the rate of complexity growth of warped CFTs in the Tensor Network Renormalization picture.

11.520386

10.543588

11.588438

9.65103

10.539286

10.640695

11.302933

10.659427

10.887882

12.023458

10.323261

10.036392

10.780623

10.267561

10.179896

10.540755

10.607753

10.107717

9.867432

10.874782

9.663905

hep-th/0210139

Mohammad Reza Garousi

M.R. Garousi, G.R. Maktabdaran

Excited D-brane decay in Cubic String Field Theory and in Bosonic String Theory

19 pages, Latex, v3; references added, some words about contact terms are added

Nucl.Phys. B651 (2003) 26-44

10.1016/S0550-3213(02)01128-8

IPM/2002/051

hep-th

null

In the cubic string field theory, using the gauge invariant operators corresponding to the on-shell closed string vertex operators, we have explicitly evaluated the decay amplitudes of two open string tachyons or gauge fields to one closed string tachyon or graviton up to level two. We then evaluated the same amplitudes in the bosonic string theory, and shown that the amplitudes in both theories have exactly the same pole structure. We have also expanded the decay amplitudes in the bosonic string theory around the Mandelstam variable s=0, and shown that their leading contact terms are fully consistent with a tachyonic Dirac-Born-Infeld action which includes both open string and closed string tachyon.

[ { "created": "Tue, 15 Oct 2002 16:11:14 GMT", "version": "v1" }, { "created": "Wed, 16 Oct 2002 13:07:26 GMT", "version": "v2" }, { "created": "Sun, 1 Dec 2002 07:46:53 GMT", "version": "v3" } ]

2010-04-05

[ [ "Garousi", "M. R.", "" ], [ "Maktabdaran", "G. R.", "" ] ]

In the cubic string field theory, using the gauge invariant operators corresponding to the on-shell closed string vertex operators, we have explicitly evaluated the decay amplitudes of two open string tachyons or gauge fields to one closed string tachyon or graviton up to level two. We then evaluated the same amplitudes in the bosonic string theory, and shown that the amplitudes in both theories have exactly the same pole structure. We have also expanded the decay amplitudes in the bosonic string theory around the Mandelstam variable s=0, and shown that their leading contact terms are fully consistent with a tachyonic Dirac-Born-Infeld action which includes both open string and closed string tachyon.

6.988616

6.19005

7.078411

6.164797

6.324186

5.997109

6.011227

6.440474

5.86482

8.512909

6.334455

6.326205

6.78792

6.315855

6.486163

6.275248

6.386459

6.331953

6.289474

6.536679

6.180684

hep-th/9211092

null

Zhu Yang

Asymptotic Freedom and Dirichlet String Theory, UR-1288, ER-40685-737

12 pages

null

hep-th hep-ph

null

Fixed angle scattering at high energy in a string theory with boundaries satisfying Dirichlet conditions (Dirichlet strings) in $D=4$ is shown to have logarithmic dependence on energy, in addition to the power-like behavior known before. High temperature free energy also depends logarithmically on temperature. Such a result could provide a matching mechanism between strings at long distance and asymptotic freedom at short distance, which is necessary for the reformulation of large-$N$ QCD as a string theory.

[ { "created": "Sat, 21 Nov 1992 18:24:00 GMT", "version": "v1" } ]

2007-05-23

[ [ "Yang", "Zhu", "" ] ]

Fixed angle scattering at high energy in a string theory with boundaries satisfying Dirichlet conditions (Dirichlet strings) in $D=4$ is shown to have logarithmic dependence on energy, in addition to the power-like behavior known before. High temperature free energy also depends logarithmically on temperature. Such a result could provide a matching mechanism between strings at long distance and asymptotic freedom at short distance, which is necessary for the reformulation of large-$N$ QCD as a string theory.

13.904465

11.772844

12.040645

11.471363

12.161083

13.56575

12.292298

11.676148

12.182866

12.817987

11.816766

11.488304

12.076297

11.409534

11.623616

11.468554

11.896732

11.455718

11.374453

12.004089

12.152591

hep-th/0012123

Emanuele Raineri

Shahn Majid and E. Raineri

Electromagnetism and Gauge Theory on the Permutation Group $S_3$

28 pages, LaTex as revised March 2001 -- expanded remarks in last section on the quantum theory, but no sig. changes

J.Geom.Phys. 44 (2002) 129-155

10.1016/S0393-0440(02)00052-9

null

hep-th math.QA

null

Using noncommutative geometry we do U(1) gauge theory on the permutation group $S_3$. Unlike usual lattice gauge theories the use of a nonAbelian group here as spacetime corresponds to a background Riemannian curvature. In this background we solve spin 0, 1/2 and spin 1 equations of motion, including the spin 1 or `photon' case in the presence of sources, i.e. a theory of classical electromagnetism. Moreover, we solve the U(1) Yang-Mills theory (this differs from the U(1) Maxwell theory in noncommutative geometry), including the moduli spaces of flat connections. We show that the Yang-Mills action has a simple form in terms of Wilson loops in the permutation group, and we discuss aspects of the quantum theory.

[ { "created": "Thu, 14 Dec 2000 17:01:11 GMT", "version": "v1" }, { "created": "Sun, 17 Dec 2000 20:37:26 GMT", "version": "v2" }, { "created": "Tue, 11 Sep 2001 18:44:14 GMT", "version": "v3" } ]

2015-06-25

[ [ "Majid", "Shahn", "" ], [ "Raineri", "E.", "" ] ]

Using noncommutative geometry we do U(1) gauge theory on the permutation group $S_3$. Unlike usual lattice gauge theories the use of a nonAbelian group here as spacetime corresponds to a background Riemannian curvature. In this background we solve spin 0, 1/2 and spin 1 equations of motion, including the spin 1 or `photon' case in the presence of sources, i.e. a theory of classical electromagnetism. Moreover, we solve the U(1) Yang-Mills theory (this differs from the U(1) Maxwell theory in noncommutative geometry), including the moduli spaces of flat connections. We show that the Yang-Mills action has a simple form in terms of Wilson loops in the permutation group, and we discuss aspects of the quantum theory.

10.065681

9.841351

9.813588

9.430801

10.132046

10.538365

10.211602

9.804464

9.487688

10.518739

9.147597

9.486547

9.833234

9.440047

9.275683

9.944399

9.766022

9.562097

9.228244

9.374383

9.513135

hep-th/0208033

Chiang-Mei Chen

Chiang-Mei Chen, T. Harko, W.F. Kao and M.K. Mak

Rotational Perturbations of High Density Matter in the Brane Cosmology

final version to appear in JCAP

JCAP 0311:005,2003

10.1088/1475-7516/2003/11/005

null

hep-th

null

We consider the evolution of small rotational perturbations, with azimuthal symmetry, of the brane-world cosmological models. The equations describing the temporal, radial, and angular dependence of the perturbations are derived by taking into account the effects of both scalar and tensor parts of the dark energy term on the brane. The time decay of the initial rotation is investigated for several types of equation of state of the ultra-high density cosmological matter. For an expanding Universe, rotation always decays in the case of the perfect dragging, for which the angular velocity of the matter on the brane equals the rotation metric tensor. For non-perfect dragging, the behavior of the rotation is strongly equation of state dependent. For some classes of dense matter, like the stiff causal or the Chaplygin gas, the angular velocity of the matter on the brane is an increasing function of time. For other types of the ultra-dense matter, like the Hagedorn fluid, rotation is smoothed out by the expansion of the Universe. Therefore the study of dynamics of rotational perturbations of brane world models, as well as in general relativity, could provide some insights on the physical properties and equation of state of the cosmological fluid filling the very early Universe.

[ { "created": "Mon, 5 Aug 2002 03:18:10 GMT", "version": "v1" }, { "created": "Mon, 30 Dec 2002 03:20:11 GMT", "version": "v2" }, { "created": "Thu, 16 Oct 2003 03:07:22 GMT", "version": "v3" } ]

2010-11-19

[ [ "Chen", "Chiang-Mei", "" ], [ "Harko", "T.", "" ], [ "Kao", "W. F.", "" ], [ "Mak", "M. K.", "" ] ]

We consider the evolution of small rotational perturbations, with azimuthal symmetry, of the brane-world cosmological models. The equations describing the temporal, radial, and angular dependence of the perturbations are derived by taking into account the effects of both scalar and tensor parts of the dark energy term on the brane. The time decay of the initial rotation is investigated for several types of equation of state of the ultra-high density cosmological matter. For an expanding Universe, rotation always decays in the case of the perfect dragging, for which the angular velocity of the matter on the brane equals the rotation metric tensor. For non-perfect dragging, the behavior of the rotation is strongly equation of state dependent. For some classes of dense matter, like the stiff causal or the Chaplygin gas, the angular velocity of the matter on the brane is an increasing function of time. For other types of the ultra-dense matter, like the Hagedorn fluid, rotation is smoothed out by the expansion of the Universe. Therefore the study of dynamics of rotational perturbations of brane world models, as well as in general relativity, could provide some insights on the physical properties and equation of state of the cosmological fluid filling the very early Universe.

8.782624

9.600682

8.474136

8.818974

9.051657

9.566833

9.224159

8.205465

8.897544

9.115952

8.997259

8.647937

8.258953

8.33518

8.426478

8.480043

8.627914

8.17748

8.541316

8.614601

8.623817

1508.02188

Peter Horvathy

M. Elbistan, C. Duval, P. A. Horvathy, P.-M. Zhang

Helicity of spin-extended chiral particles

Published version, slightly extended. 18 pages, 4 figures

Phys. Lett. A 380, 1677-1683 (2016)

10.1016/j.physleta.2016.03.016

null

hep-th cond-mat.other hep-ph

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

The helicity of a free massless relativistic particle, $\chi^o={\bf s}.{\bf p}/|{\bf p}|$, is generalized, for a particle in an electromagnetic field, to $\chi={\bf s}.{\bf p}/{\cal E}$, where ${\cal E}$ is the modified kinetic energy. Both $\chi^o$ and $\chi$ coincide and are conserved for minimal coupling (gyromagnetic ratio $g=0$) but are different and neither of them is conserved when the coupling is non-minimal, $g\neq0$, generating non-zero effective mass. For a chiral particle with $g=2$ in a constant electric field both helicities converge asymptotically to the same value. Helicity is also conserved for minimal gravitational coupling.

[ { "created": "Mon, 10 Aug 2015 09:47:45 GMT", "version": "v1" }, { "created": "Mon, 21 Sep 2015 07:00:35 GMT", "version": "v2" }, { "created": "Fri, 19 Feb 2016 01:34:26 GMT", "version": "v3" }, { "created": "Tue, 8 Mar 2016 15:06:47 GMT", "version": "v4" }, { "created": "Mon, 4 Apr 2016 17:02:54 GMT", "version": "v5" } ]

2016-04-05

[ [ "Elbistan", "M.", "" ], [ "Duval", "C.", "" ], [ "Horvathy", "P. A.", "" ], [ "Zhang", "P. -M.", "" ] ]

The helicity of a free massless relativistic particle, $\chi^o={\bf s}.{\bf p}/|{\bf p}|$, is generalized, for a particle in an electromagnetic field, to $\chi={\bf s}.{\bf p}/{\cal E}$, where ${\cal E}$ is the modified kinetic energy. Both $\chi^o$ and $\chi$ coincide and are conserved for minimal coupling (gyromagnetic ratio $g=0$) but are different and neither of them is conserved when the coupling is non-minimal, $g\neq0$, generating non-zero effective mass. For a chiral particle with $g=2$ in a constant electric field both helicities converge asymptotically to the same value. Helicity is also conserved for minimal gravitational coupling.

6.386833

6.344816

6.340192

6.044465

6.468952

6.257769

6.472502

6.411665

6.119026

6.423709

6.180865

6.341788

5.997657

6.19533

6.141188

5.993743

6.112278

6.05343

6.112618

6.250655

6.194798

hep-th/9502028

Gennadi Lykasov

G.I.Lykasov, M.N.Sergeenko

Semihard Hadron Processes and Quark-gluon String Model

resubmitted as hep-ph/9502316. Removed from hep-th.

null

hep-th

null

Resubmitted as hep-ph/9502316. Removed from hep-th. Incorrigibly inept submitter publicly excoriated.

[ { "created": "Fri, 3 Feb 1995 18:25:44 GMT", "version": "v1" } ]

2016-09-06

[ [ "Lykasov", "G. I.", "" ], [ "Sergeenko", "M. N.", "" ] ]

Resubmitted as hep-ph/9502316. Removed from hep-th. Incorrigibly inept submitter publicly excoriated.

51.789848

49.431152

48.078285

35.163723

45.196056

62.926342

47.803406

46.635227

44.24395

51.336044

60.169357

48.77919

44.479351

40.642269

41.786049

42.978008

40.906555

46.362309

44.223373

40.536964

48.123665

hep-th/0209193

Christopher Pope

M. Cvetic, H. Lu, C.N. Pope and K.S. Stelle

Linearly-realised Worldsheet Supersymmetry in pp-wave Background

Latex, 35 pages

Nucl.Phys.B662:89-119,2003

10.1016/S0550-3213(03)00263-3

null

hep-th

null

We study the linearly-realised worldsheet supersymmetries in the ``massive'' type II light-cone actions for pp-wave backgrounds. The pp-waves have have 16+N_sup Killing spinors, comprising 16 ``standard'' Killing spinors that occur in any wave background, plus N_sup ``supernumerary'' Killing spinors (0\le N_sup \le 16) that occur only for special backgrounds. We show that only the supernumerary Killing spinors give rise to linearly-realised worldsheet supersymmetries after light-cone gauge fixing, while the 16 standard Killing spinors describe only non-linearly realised inhomogeneous symmetries. We also study the type II actions in the physical gauge, and we show that although in this case the actions are not free, there are now linearly-realised supersymmetries coming both from the standard and the supernumerary Killing spinors. In the physical gauge, there are no mass terms for any worldsheet degrees of freedom, so the masses appearing in the light-cone gauge may be viewed as gauge artefacts. We obtain type IIA and IIB supergravity solutions describing solitonic strings in pp-wave backgrounds, and show how these are related to the physical-gauge fundamental string actions. We study the supersymmetries of these solutions, and find examples with various numbers of Killing spinors, including total numbers that are odd.

[ { "created": "Tue, 24 Sep 2002 18:53:11 GMT", "version": "v1" } ]

2008-11-26

[ [ "Cvetic", "M.", "" ], [ "Lu", "H.", "" ], [ "Pope", "C. N.", "" ], [ "Stelle", "K. S.", "" ] ]

We study the linearly-realised worldsheet supersymmetries in the ``massive'' type II light-cone actions for pp-wave backgrounds. The pp-waves have have 16+N_sup Killing spinors, comprising 16 ``standard'' Killing spinors that occur in any wave background, plus N_sup ``supernumerary'' Killing spinors (0\le N_sup \le 16) that occur only for special backgrounds. We show that only the supernumerary Killing spinors give rise to linearly-realised worldsheet supersymmetries after light-cone gauge fixing, while the 16 standard Killing spinors describe only non-linearly realised inhomogeneous symmetries. We also study the type II actions in the physical gauge, and we show that although in this case the actions are not free, there are now linearly-realised supersymmetries coming both from the standard and the supernumerary Killing spinors. In the physical gauge, there are no mass terms for any worldsheet degrees of freedom, so the masses appearing in the light-cone gauge may be viewed as gauge artefacts. We obtain type IIA and IIB supergravity solutions describing solitonic strings in pp-wave backgrounds, and show how these are related to the physical-gauge fundamental string actions. We study the supersymmetries of these solutions, and find examples with various numbers of Killing spinors, including total numbers that are odd.

7.38776

7.066358

8.273241

7.247381

7.152694

7.318543

7.53662

7.060362

7.015091

8.905296

7.033502

7.102887

7.162888

6.939565

6.797193

6.945855

6.818478

7.016713

6.940539

7.445414

6.696522

hep-th/9611050

Joe Polchinski

Joseph Polchinski

TASI Lectures on D-Branes

63 Pages, LaTeX, 13 epsf figures, TASI96(d-branes) Small corrections and clarifications. More complete list of early references in section 1.1

null

NSF-ITP-96-145

hep-th

null

This is an introduction to the properties of D-branes, topological defects in string theory on which string endpoints can live. D-branes provide a simple description of various nonperturbative objects required by string duality, and give new insight into the quantum mechanics of black holes and the nature of spacetime at the shortest distances. The first two thirds of these lectures closely follow the earlier ITP lectures hep-th/9602052, written with S. Chaudhuri and C. Johnson. The final third includes more extensive applications to string duality.

[ { "created": "Fri, 8 Nov 1996 01:16:40 GMT", "version": "v1" }, { "created": "Wed, 23 Apr 1997 17:20:40 GMT", "version": "v2" } ]

2008-02-03

[ [ "Polchinski", "Joseph", "" ] ]

This is an introduction to the properties of D-branes, topological defects in string theory on which string endpoints can live. D-branes provide a simple description of various nonperturbative objects required by string duality, and give new insight into the quantum mechanics of black holes and the nature of spacetime at the shortest distances. The first two thirds of these lectures closely follow the earlier ITP lectures hep-th/9602052, written with S. Chaudhuri and C. Johnson. The final third includes more extensive applications to string duality.

7.531269

9.810993

8.471775

7.615126

8.809203

7.817927

8.353863

9.018385

8.050009

8.846373

8.180644

7.839659

8.733534

7.389129

7.781145

7.860349

7.788771

7.474802

7.705402

8.345721

7.715682

2406.13643

Slobodan Radosevic

Slobodan Rado\v{s}evi\'c

Geometry of Classical Nambu-Goldstone Fields

20 pages

null

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

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

A coordinate-free formulation of first order effective field theory, in which Nambu-Goldstone fields are described as sections on associated bundle, is presented. This construction, which is based only on symmetry considerations, allows for a direct derivation of number and types of Nambu-Goldstone fields in a classical field theory without any reference to effective Lagrangian. A central role in classification is shown to be played by Lorentz-symmetry breaking order parameter which induces symplectic structure in the field space of the theory.

[ { "created": "Wed, 19 Jun 2024 15:45:43 GMT", "version": "v1" } ]

2024-06-21

[ [ "Radošević", "Slobodan", "" ] ]

A coordinate-free formulation of first order effective field theory, in which Nambu-Goldstone fields are described as sections on associated bundle, is presented. This construction, which is based only on symmetry considerations, allows for a direct derivation of number and types of Nambu-Goldstone fields in a classical field theory without any reference to effective Lagrangian. A central role in classification is shown to be played by Lorentz-symmetry breaking order parameter which induces symplectic structure in the field space of the theory.

11.843976

9.333399

9.923462

10.010162

10.304354

11.553323

10.702192

9.700167

10.829364

11.218472

9.651073

9.821871

10.511122

9.99189

10.183125

9.906376

10.123316

10.101453

10.124052

10.228668

9.972417

hep-th/9910111

Mihail Mihailescu

Correlation functions for chiral primaries in D=6 Supergravity on $AdS_3 \times S^3$

15 pages, harvmac big

JHEP 0002 (2000) 007

10.1088/1126-6708/2000/02/007

null

hep-th

null

Six dimensional supergravities on $ADS_3 \times S^3$ present interest due to the role they play in the $AdS/CFT$ correspondence. The correspondence in this case states the equivalence between supergravity on the given background and a still unknown conformal field theory. The conformal field theory in question is expected to appear by deforming of the free conformal field theory on $S^N(T^4)$ in a way which preserves the superconformal symmetry. The purpose of this paper is to compute the first nontrivial corrections to the equations of motion for the chiral primary fields coming from supergravity. Using the methods already developed which involve nontrivial redefinitions of fields, we compute three-point correlation functions for scalar chiral primaries and notice similarities between their expressions and those obtained in the orbifold conformal field theory.

[ { "created": "Thu, 14 Oct 1999 22:52:23 GMT", "version": "v1" } ]

2009-10-31

[ [ "Mihailescu", "Mihail", "" ] ]

Six dimensional supergravities on $ADS_3 \times S^3$ present interest due to the role they play in the $AdS/CFT$ correspondence. The correspondence in this case states the equivalence between supergravity on the given background and a still unknown conformal field theory. The conformal field theory in question is expected to appear by deforming of the free conformal field theory on $S^N(T^4)$ in a way which preserves the superconformal symmetry. The purpose of this paper is to compute the first nontrivial corrections to the equations of motion for the chiral primary fields coming from supergravity. Using the methods already developed which involve nontrivial redefinitions of fields, we compute three-point correlation functions for scalar chiral primaries and notice similarities between their expressions and those obtained in the orbifold conformal field theory.

9.285787

9.298864

9.774757

9.102521

9.683138

9.5418

9.647003

9.287675

9.157619

10.457377

9.229923

8.942926

9.142192

8.690406

8.570002

8.63932

8.730257

8.692578

8.66583

9.032794

8.739082

1809.08255

Jorge Fern\'andez-Pend\'as

Christian Copetti and Jorge Fern\'andez-Pend\'as

Higher spin vortical Zilches from Kubo formulae

6 pages + 3 pages of supplemental materials

Phys. Rev. D 98, 105008 (2018)

10.1103/PhysRevD.98.105008

IFT-UAM/CSIC-18-96

hep-th cond-mat.other

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

We compute thermal one point functions in Maxwell's theory sourced by vorticity for the Zilch and its higher spin extensions via the Kubo formalism. This leads to a generalization of the recent results of \citep{Chernodub:2018era} to any spin and their value suggests a relation with possible anomalies for the higher spin tower of currents.

[ { "created": "Fri, 21 Sep 2018 18:00:57 GMT", "version": "v1" } ]

2018-11-28

[ [ "Copetti", "Christian", "" ], [ "Fernández-Pendás", "Jorge", "" ] ]

We compute thermal one point functions in Maxwell's theory sourced by vorticity for the Zilch and its higher spin extensions via the Kubo formalism. This leads to a generalization of the recent results of \citep{Chernodub:2018era} to any spin and their value suggests a relation with possible anomalies for the higher spin tower of currents.

23.384869

20.792477

25.035318

22.585884

24.969389

27.04871

25.193214

22.949821

20.61282

25.654924

22.532969

21.020689

22.036612

19.483599

20.585873

20.690479

20.342218

19.625856

21.274288

20.419985

20.635489

1709.00637

Fabio Scardigli

Gaetano Lambiase and Fabio Scardigli

Lorentz violation and generalized uncertainty principle

9 pages, no figures

Phys. Rev. D 97, 075003 (2018)

10.1103/PhysRevD.97.075003

null

hep-th gr-qc quant-ph

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

Investigations on possible violation of Lorentz invariance have been widely pursued in the last decades, both from theoretical and experimental sides. A comprehensive framework to formulate the problem is the standard model extension (SME) proposed by A.Kostelecky, where violation of Lorentz invariance is encoded into specific coefficients. Here we present a procedure to link the deformation parameter $\beta$ of the generalized uncertainty principle (GUP) to the SME coefficients of the gravity sector. The idea is to compute the Hawking temperature of a black hole in two different ways. The first way involves the deformation parameter $\beta$, and therefore we get a deformed Hawking temperature containing the parameter $\beta$. The second way involves a deformed Schwarzschild metric containing the Lorentz violating terms $\bar{s}^{\mu\nu}$ of the gravity sector of the SME. The comparison between the two different techniques yields a relation between $\beta$ and $\bar{s}^{\mu\nu}$. In this way bounds on $\beta$ transferred from $\bar{s}^{\mu\nu}$ are improved by many orders of magnitude when compared with those derived in other gravitational frameworks. Also the opposite possibility of bounds transferred from $\beta$ to $\bar{s}^{\mu\nu}$ is briefly discussed.

[ { "created": "Sat, 2 Sep 2017 21:50:49 GMT", "version": "v1" } ]

2018-04-11

[ [ "Lambiase", "Gaetano", "" ], [ "Scardigli", "Fabio", "" ] ]

Investigations on possible violation of Lorentz invariance have been widely pursued in the last decades, both from theoretical and experimental sides. A comprehensive framework to formulate the problem is the standard model extension (SME) proposed by A.Kostelecky, where violation of Lorentz invariance is encoded into specific coefficients. Here we present a procedure to link the deformation parameter $\beta$ of the generalized uncertainty principle (GUP) to the SME coefficients of the gravity sector. The idea is to compute the Hawking temperature of a black hole in two different ways. The first way involves the deformation parameter $\beta$, and therefore we get a deformed Hawking temperature containing the parameter $\beta$. The second way involves a deformed Schwarzschild metric containing the Lorentz violating terms $\bar{s}^{\mu\nu}$ of the gravity sector of the SME. The comparison between the two different techniques yields a relation between $\beta$ and $\bar{s}^{\mu\nu}$. In this way bounds on $\beta$ transferred from $\bar{s}^{\mu\nu}$ are improved by many orders of magnitude when compared with those derived in other gravitational frameworks. Also the opposite possibility of bounds transferred from $\beta$ to $\bar{s}^{\mu\nu}$ is briefly discussed.

5.018346

5.19199

4.848528

4.711562

5.107596

5.025729

5.364398

4.746186

4.885579

5.240318

4.979321

4.942096

4.747975

4.786106

4.856475

4.891408

4.927073

4.75584

4.754242

4.877077

4.833184

hep-th/9410064

Vadim Zeitlin

QED$_{2+1}$ with Nonzero Fermion Density and Quantum Hall Effect

8 pages, LaTeX; FIAN/TD/94-09

Phys. Lett. B352 (1995) 422

10.1016/0370-2693(95)00488-7

null

hep-th cond-mat

null

A general expression for the conductivity in the QED$_{2+1}$ with nonzero fermion density in the uniform magnetic field is derived. It is shown that the conductivity is entirely determined by the Chern-Simons coefficient: $\sigma_{ij}=\varepsilon_{ij}~{\cal C}$ and is a step-function of the chemical potential and the magnetic field.

[ { "created": "Mon, 10 Oct 1994 13:58:51 GMT", "version": "v1" } ]

2009-10-28

[ [ "Zeitlin", "Vadim", "" ] ]

A general expression for the conductivity in the QED$_{2+1}$ with nonzero fermion density in the uniform magnetic field is derived. It is shown that the conductivity is entirely determined by the Chern-Simons coefficient: $\sigma_{ij}=\varepsilon_{ij}~{\cal C}$ and is a step-function of the chemical potential and the magnetic field.

7.493346

6.443751

7.328106

6.249684

6.332815

7.626663

7.06882

7.08092

6.660312

7.082004

6.958862

6.626445

7.005771

6.345155

6.319232

6.778354

6.527828

6.784055

6.564302

7.015829

6.436023

hep-th/9711077

A. Sagnotti

Fabio Riccioni and Augusto Sagnotti (U. Roma "Tor Vergata")

Some Properties of Tensor Multiplets in Six-Dimensional Supergravity

6 pages, LateX. Contribution to the Proceedings of "String Duality, II", Trieste, april 1997

Nucl.Phys.Proc.Suppl. 67 (1998) 68-73

10.1016/S0920-5632(98)00121-2

ROM2F-97/38

hep-th

null

We review some results on the complete coupling between tensor and vector multiplets in six-dimensional $(1,0)$ supergravity.

[ { "created": "Tue, 11 Nov 1997 16:40:37 GMT", "version": "v1" } ]

2009-10-30

[ [ "Riccioni", "Fabio", "", "U. Roma \"Tor Vergata\"" ], [ "Sagnotti", "Augusto", "", "U. Roma \"Tor Vergata\"" ] ]

We review some results on the complete coupling between tensor and vector multiplets in six-dimensional $(1,0)$ supergravity.

18.426603

7.585536

16.835732

8.514708

8.153845

8.153179

7.686114

9.121887

8.531728

15.102892

7.799378

9.196279

12.538478

10.167634

9.496743

9.919484

9.158279

9.824354

9.480057

12.028533

8.915751

hep-th/9904201

Marco Bochicchio

The confining branch of QCD

8 pages, latex, no figures, a misprint corrected

null

ROME 1250/99

hep-th

null

We show that, as a consequence of a physical interpretation based on the Abelian projection and on the QCD string, four-dimensional QCD confines the electric flux if and only if the functional integral in the fiberwise-dual variables admits a hyper-Kahler reduction under the action of the gauge group.

[ { "created": "Wed, 28 Apr 1999 23:39:50 GMT", "version": "v1" }, { "created": "Mon, 24 May 1999 18:41:50 GMT", "version": "v2" } ]

2007-05-23

[ [ "Bochicchio", "Marco", "" ] ]

We show that, as a consequence of a physical interpretation based on the Abelian projection and on the QCD string, four-dimensional QCD confines the electric flux if and only if the functional integral in the fiberwise-dual variables admits a hyper-Kahler reduction under the action of the gauge group.

17.952175

16.897655

19.478266

15.929865

16.029503

17.489353

18.746256

18.125654

18.177809

21.57881

17.232304

16.07312

16.412155

16.348232

16.065479

15.769807

16.977318

15.835126

16.191984

16.646641

16.053328

0709.2822

Roberto D. Mota Esteves

Ruben Cordero and Roberto D. Mota

Soliton Stability in a Generalized Sine-Gordon Potential

null

Int.J.Theor.Phys.43:2215-2222,2004

10.1023/B:IJTP.0000049020.06344.54

null

hep-th

null

We study stability of a generalized sine-Gordon model with two coupled scalar fields in two dimensions. Topological soliton solutions are found from the first-order equations that solve the equations of motion. The perturbation equations can be cast in terms of a Schrodinger-like operators for fluctuations and their spectra are calculated.

[ { "created": "Tue, 18 Sep 2007 13:29:25 GMT", "version": "v1" } ]

2008-11-26

[ [ "Cordero", "Ruben", "" ], [ "Mota", "Roberto D.", "" ] ]

We study stability of a generalized sine-Gordon model with two coupled scalar fields in two dimensions. Topological soliton solutions are found from the first-order equations that solve the equations of motion. The perturbation equations can be cast in terms of a Schrodinger-like operators for fluctuations and their spectra are calculated.

13.239696

8.705949

12.068902

10.269339

10.51608

10.302241

9.67194

9.960225

9.760659

11.52765

9.528756

10.151626

10.801484

10.673607

10.924978

10.741969

10.968141

11.056408

10.536542

10.834949

10.466322

1202.1736

Carlos Andres Cardona Giraldo

Carlos A. Cardona

Comments on Correlation Functions of Large Spin Operators and Null Polygonal Wilson Loops

16+3 pages, 3 figures. Computation in section 4.1 has been clarified. Some comments on the vertex contributions has been added in section 4.2. Some other minor corrections. Version to appear in Nucl. Phys. B

null

10.1016/j.nuclphysb.2012.09.017

null

hep-th

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

We discuss the relation between correlation functions of twist-two large spin operators and expectation values of Wilson loops along light-like trajectories. After presenting some heuristic field theoretical arguments suggesting this relation, we compute the divergent part of the correlator in the limit of large 't Hooft coupling and large spins, using a semi-classical worldsheet which asymptotically looks like a GKP rotating string. We show this diverges as expected from the expectation value of a null Wilson loop, namely, as $(\ln{\mu^{-2}})^ 2$, $\mu$ being a cut-off of the theory.

[ { "created": "Wed, 8 Feb 2012 15:26:41 GMT", "version": "v1" }, { "created": "Thu, 27 Sep 2012 20:28:18 GMT", "version": "v2" } ]

2015-06-04

[ [ "Cardona", "Carlos A.", "" ] ]

We discuss the relation between correlation functions of twist-two large spin operators and expectation values of Wilson loops along light-like trajectories. After presenting some heuristic field theoretical arguments suggesting this relation, we compute the divergent part of the correlator in the limit of large 't Hooft coupling and large spins, using a semi-classical worldsheet which asymptotically looks like a GKP rotating string. We show this diverges as expected from the expectation value of a null Wilson loop, namely, as $(\ln{\mu^{-2}})^ 2$, $\mu$ being a cut-off of the theory.

9.313459

10.704734

10.685842

10.241076

10.979009

10.72503

10.433457

11.238439

9.98657

12.605122

9.554604

10.324122

10.122191

9.442992

9.495903

9.795463

9.646943

10.057068

9.471057

9.929565

9.501114

1911.07276

Stefan Hohenegger

Brice Bastian, Stefan Hohenegger

Symmetries in A-Type Little String Theories, Part I

33 pages

null

hep-th

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

We analyse the symmetries of a class of A-type little string theories that are engineered by $N$ parallel M5-branes with M2-branes stretched between them. This paper deals with the so-called reduced free energy, which only receives contributions from the subset of the BPS states that carry the same charges under all the Cartan generators of the underlying gauge algebra. We argue (and check explicitly in a number of examples) that the former is invariant under the paramodular group $\Sigma_N\subset Sp(4,\mathbb{Q})$, which gets extended to a subgroup of $Sp(4,\mathbb{R})$ in the Nekrasov-Shatashvili-limit. This extension agrees with the observation made in arXiv:1706.04425 that these BPS states form a symmetric orbifold CFT. Furthermore, we argue that $\Sigma_N$ (along with other symmetries) places strong constraints on the BPS counting function that governs the intersection between the M5- and M2-branes.

[ { "created": "Sun, 17 Nov 2019 16:35:36 GMT", "version": "v1" } ]

2019-11-19

[ [ "Bastian", "Brice", "" ], [ "Hohenegger", "Stefan", "" ] ]

We analyse the symmetries of a class of A-type little string theories that are engineered by $N$ parallel M5-branes with M2-branes stretched between them. This paper deals with the so-called reduced free energy, which only receives contributions from the subset of the BPS states that carry the same charges under all the Cartan generators of the underlying gauge algebra. We argue (and check explicitly in a number of examples) that the former is invariant under the paramodular group $\Sigma_N\subset Sp(4,\mathbb{Q})$, which gets extended to a subgroup of $Sp(4,\mathbb{R})$ in the Nekrasov-Shatashvili-limit. This extension agrees with the observation made in arXiv:1706.04425 that these BPS states form a symmetric orbifold CFT. Furthermore, we argue that $\Sigma_N$ (along with other symmetries) places strong constraints on the BPS counting function that governs the intersection between the M5- and M2-branes.

8.163675

7.528538

9.34017

7.478757

8.372073

8.024388

7.743022

7.295156

7.408074

10.289272

7.37199

7.567454

8.291861

7.622737

7.817125

7.700401

7.588727

7.443599

7.784594

8.40124

7.613903

2205.06273

Lars Aalsma

Lars Aalsma and Gary Shiu

From Rotating to Charged Black Holes and Back Again

17+2 pages

null

10.1007/JHEP11(2022)161

null

hep-th gr-qc hep-ph

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

The mild form of the Weak Gravity Conjecture (WGC) requires higher derivative corrections to extremal charged black holes to increase their charge-to-mass ratio. This allows decay via emission of a smaller extremal black hole. In this paper, we investigate if similar constraints hold for extremal rotating black holes. We do so by considering the leading higher derivative corrections to the four-dimensional Kerr black hole and five-dimensional Myers-Perry black hole. We use a known mapping of these rotating solutions to a four-dimensional non-rotating dyonic Kaluza-Klein black hole and impose the WGC on this charged solution. Going back again to the rotating solutions, this fixes the sign of the corrections to the rotating extremality bounds. The sign of the corrections is non-universal, depending on the black hole under consideration. We argue that this is not at odds with black hole decay, because of the presence of a superradiant instability that persists in the extremal limit. When this instability is present, the WGC is implied for the four-dimensional charged black hole.

[ { "created": "Thu, 12 May 2022 18:00:01 GMT", "version": "v1" } ]

2022-12-21

[ [ "Aalsma", "Lars", "" ], [ "Shiu", "Gary", "" ] ]

The mild form of the Weak Gravity Conjecture (WGC) requires higher derivative corrections to extremal charged black holes to increase their charge-to-mass ratio. This allows decay via emission of a smaller extremal black hole. In this paper, we investigate if similar constraints hold for extremal rotating black holes. We do so by considering the leading higher derivative corrections to the four-dimensional Kerr black hole and five-dimensional Myers-Perry black hole. We use a known mapping of these rotating solutions to a four-dimensional non-rotating dyonic Kaluza-Klein black hole and impose the WGC on this charged solution. Going back again to the rotating solutions, this fixes the sign of the corrections to the rotating extremality bounds. The sign of the corrections is non-universal, depending on the black hole under consideration. We argue that this is not at odds with black hole decay, because of the presence of a superradiant instability that persists in the extremal limit. When this instability is present, the WGC is implied for the four-dimensional charged black hole.

7.201289

6.68154

7.414905

6.446783

6.321347

6.732298

6.550225

6.65835

6.783011

7.396804

6.431479

6.852403

7.076874

6.634332

6.658524

6.83856

6.697766

6.756711

6.850643

6.937544

6.967407

1707.09452

E. Aldo Arroyo

E. Aldo Arroyo, A. Fernandes-Silva, R. Szitas

Numerical solution of open string field theory in Schnabl gauge

37 pages, 9 figures, some typos corrected

null

10.1007/JHEP01(2018)007

CCNH-UFABC 2017

hep-th

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

Using traditional Virasoro $L_0$ level-truncation computations, we evaluate the open bosonic string field theory action up to level $(10,30)$. Extremizing this level-truncated potential, we construct a numerical solution for tachyon condensation in Schnabl gauge. We find that the energy associated to the numerical solution overshoots the expected value $-1$ at level $L=6$. Extrapolating the level-truncation data for $L\leq 10$ to estimate the vacuum energies for $L > 10$, we predict that the energy reaches a minimum value at $L \sim 12$, and then turns back to approach $-1$ asymptotically as $L \rightarrow \infty$. Furthermore, we analyze the tachyon vacuum expectation value (vev), for which by extrapolating its corresponding level-truncation data, we predict that the tachyon vev reaches a minimum value at $L \sim 26$, and then turns back to approach the expected analytical result as $L \rightarrow \infty$.

[ { "created": "Sat, 29 Jul 2017 02:27:14 GMT", "version": "v1" }, { "created": "Sat, 16 Sep 2017 01:52:47 GMT", "version": "v2" }, { "created": "Tue, 19 Sep 2017 10:27:36 GMT", "version": "v3" }, { "created": "Wed, 22 Nov 2017 16:20:53 GMT", "version": "v4" } ]

2018-01-09

[ [ "Arroyo", "E. Aldo", "" ], [ "Fernandes-Silva", "A.", "" ], [ "Szitas", "R.", "" ] ]

Using traditional Virasoro $L_0$ level-truncation computations, we evaluate the open bosonic string field theory action up to level $(10,30)$. Extremizing this level-truncated potential, we construct a numerical solution for tachyon condensation in Schnabl gauge. We find that the energy associated to the numerical solution overshoots the expected value $-1$ at level $L=6$. Extrapolating the level-truncation data for $L\leq 10$ to estimate the vacuum energies for $L > 10$, we predict that the energy reaches a minimum value at $L \sim 12$, and then turns back to approach $-1$ asymptotically as $L \rightarrow \infty$. Furthermore, we analyze the tachyon vacuum expectation value (vev), for which by extrapolating its corresponding level-truncation data, we predict that the tachyon vev reaches a minimum value at $L \sim 26$, and then turns back to approach the expected analytical result as $L \rightarrow \infty$.

6.427749

5.602764

7.388212

5.84128

6.317168

6.075595

5.592155

5.980662

5.528845

7.355135

5.921072

5.853153

6.319002

5.916626

6.1909

5.882679

5.836829

6.028692

5.876687

6.291555

6.040745

1701.00467

Mikhail Shifman

Mikhail Shifman, Arkady Vainshtein

(In)dependence of Theta in the Higgs Regime without Axions

14 pp, 1 figure

Mod. Phys. Lett. A, Vol. 32, No. 14 (2017) 1750084

10.1142/S0217732317500845

FTPI-MINN-16/36, UMN-TH-3616/16

hep-th hep-ph

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

We revisit the issue of the vacuum angle theta dependence in weakly coupled (Higgsed) Yang-Mills theories. Two most popular mechanisms for eliminating physical theta dependence are massless quarks and axions. Anselm and Johansen noted that the vacuum angle theta(EW), associated with the electroweak SU(2) in the Glashow-Weinberg-Salam model, is unobservable although all fermion fields obtain masses through Higgsing and there is no axion. We generalize this idea to a broad class of Higgsed Yang-Mills theories. In the second part we consider consequences of Grand Unification. We start from a unifying group, e.g. SU(5), at a high ultraviolet scale and evolve the theory down within the Wilson procedure. If on the way to infrared the unifying group is broken down into a few factors, all factor groups inherit one and the same theta angle -- that of the unifying group. We show that embedding the SM in SU(5) drastically changes the Anselm-Johansen conclusion: the electroweak vacuum angle theta(EW), equal to theta(QCD) becomes in principle observable in \Delta B=\Delta L =\pm 1 processes. We also note in passing that if the axion mechanism is set up above the unification scale, we have one and the same axion in the electroweak theory and QCD, and their impacts are interdependent.

[ { "created": "Mon, 2 Jan 2017 17:55:35 GMT", "version": "v1" } ]

2017-04-26

[ [ "Shifman", "Mikhail", "" ], [ "Vainshtein", "Arkady", "" ] ]

We revisit the issue of the vacuum angle theta dependence in weakly coupled (Higgsed) Yang-Mills theories. Two most popular mechanisms for eliminating physical theta dependence are massless quarks and axions. Anselm and Johansen noted that the vacuum angle theta(EW), associated with the electroweak SU(2) in the Glashow-Weinberg-Salam model, is unobservable although all fermion fields obtain masses through Higgsing and there is no axion. We generalize this idea to a broad class of Higgsed Yang-Mills theories. In the second part we consider consequences of Grand Unification. We start from a unifying group, e.g. SU(5), at a high ultraviolet scale and evolve the theory down within the Wilson procedure. If on the way to infrared the unifying group is broken down into a few factors, all factor groups inherit one and the same theta angle -- that of the unifying group. We show that embedding the SM in SU(5) drastically changes the Anselm-Johansen conclusion: the electroweak vacuum angle theta(EW), equal to theta(QCD) becomes in principle observable in \Delta B=\Delta L =\pm 1 processes. We also note in passing that if the axion mechanism is set up above the unification scale, we have one and the same axion in the electroweak theory and QCD, and their impacts are interdependent.

9.067087

10.591918

9.109875

9.421601

10.752039

10.733871

9.954798

10.677457

9.258992

9.902746

10.038165

9.121541

9.166423

8.943562

9.101976

9.546491

9.477095

9.131959

9.165649

9.235519

9.313293

1701.00496

Daniel Kapec

Temple He, Daniel Kapec, Ana-Maria Raclariu, Andrew Strominger

Loop-Corrected Virasoro Symmetry of 4D Quantum Gravity

12 pages

JHEP 1708, 050 (2017)

10.1007/JHEP08(2017)050

null

hep-th gr-qc

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

Recently a boundary energy-momentum tensor $T_{zz}$ has been constructed from the soft graviton operator for any 4D quantum theory of gravity in asymptotically flat space. Up to an "anomaly" which is one-loop exact, $T_{zz}$ generates a Virasoro action on the 2D celestial sphere at null infinity. Here we show by explicit construction that the effects of the IR divergent part of the anomaly can be eliminated by a one-loop renormalization that shifts $T_{zz}$.

[ { "created": "Mon, 2 Jan 2017 19:00:25 GMT", "version": "v1" } ]

2017-11-17

[ [ "He", "Temple", "" ], [ "Kapec", "Daniel", "" ], [ "Raclariu", "Ana-Maria", "" ], [ "Strominger", "Andrew", "" ] ]

Recently a boundary energy-momentum tensor $T_{zz}$ has been constructed from the soft graviton operator for any 4D quantum theory of gravity in asymptotically flat space. Up to an "anomaly" which is one-loop exact, $T_{zz}$ generates a Virasoro action on the 2D celestial sphere at null infinity. Here we show by explicit construction that the effects of the IR divergent part of the anomaly can be eliminated by a one-loop renormalization that shifts $T_{zz}$.

8.186261

7.461101

8.528751

7.244433

8.483251

7.892191

7.249729

8.026937

7.342693

9.205824

7.718757

7.579646

8.080738

7.284478

7.46735

7.752834

7.937488

7.696506

7.51475

8.17043

7.411803

1210.4740

I-Sheng Yang

Recovering the Negative Mode for Type B Coleman-de Luccia Instantons

version 3, 18 pages, 6 figures, changed the title to follow the terminology of earlier works and expanded appendix to address the comments from Brown, Freivogel, Weinberg and Xiao

null

10.1103/PhysRevD.87.084026

null

hep-th gr-qc

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

The usual (type A) thin-wall Coleman-de Luccia instanton is made by a bigger-than-half sphere of the false vacuum and a smaller-than-half sphere of the true vacuum. It has a the standard O(4) symmetric negative mode associated with changing the size of false vacuum region. On the other hand, the type B instanton, made by two smaller-than-half spheres, was believed to have lost this negative mode. We argue that such belief is misguided due to an over-restriction on Euclidean path integral. We introduce the idea of a "purely geometric junction" to visualize why such restriction could be removed, and then explicitly construct this negative mode. We also show that type B and type A instantons have the same thermal interpretation for mediating tunnelings.

[ { "created": "Wed, 17 Oct 2012 13:44:42 GMT", "version": "v1" }, { "created": "Tue, 23 Oct 2012 13:05:15 GMT", "version": "v2" }, { "created": "Thu, 28 Feb 2013 10:44:43 GMT", "version": "v3" } ]

2013-04-17

[ [ "Yang", "I-Sheng", "" ] ]

The usual (type A) thin-wall Coleman-de Luccia instanton is made by a bigger-than-half sphere of the false vacuum and a smaller-than-half sphere of the true vacuum. It has a the standard O(4) symmetric negative mode associated with changing the size of false vacuum region. On the other hand, the type B instanton, made by two smaller-than-half spheres, was believed to have lost this negative mode. We argue that such belief is misguided due to an over-restriction on Euclidean path integral. We introduce the idea of a "purely geometric junction" to visualize why such restriction could be removed, and then explicitly construct this negative mode. We also show that type B and type A instantons have the same thermal interpretation for mediating tunnelings.

15.446125

13.882253

14.170922

12.601266

14.232554

13.97626

14.287901

13.001032

12.506588

14.056599

13.566598

12.967629

12.471958

12.224137

12.96843

12.774994

13.07365

12.575583

12.32097

12.490809

13.01089

hep-th/9609166

null

F.A.Lunev

Pure bosonic worldline path integral representation for fermionic determinants, non-Abelian Stokes theorem, and quasiclassical approximation in QCD

LaTeX, 49 pages

Nucl.Phys. B494 (1997) 433-470

10.1016/S0550-3213(97)00154-5

null

hep-th hep-lat

null

Simple bosonic path integral representation for path ordered exponent is derived. This representation is used, at first, to obtain new variant of non-Abelian Stokes theorem. Then new pure bosonic worldline path integral representations for fermionic determinant and Green functions are presented. Finally, applying stationary phase method, we get quasiclassical equations of motion in QCD.

[ { "created": "Thu, 19 Sep 1996 10:47:25 GMT", "version": "v1" } ]

2009-10-30

[ [ "Lunev", "F. A.", "" ] ]

Simple bosonic path integral representation for path ordered exponent is derived. This representation is used, at first, to obtain new variant of non-Abelian Stokes theorem. Then new pure bosonic worldline path integral representations for fermionic determinant and Green functions are presented. Finally, applying stationary phase method, we get quasiclassical equations of motion in QCD.

19.322815

14.491017

16.690769

13.573822

15.191405

15.121551

16.21867

14.387832

14.075761

17.682577

14.702897

14.633224

15.045836

13.989154

14.020975

14.419676

14.588378

14.113754

14.366463

15.306495

14.571258

1112.4382

Semyon Klevtsov

Frank Ferrari, Semyon Klevtsov and Steve Zelditch

Simple matrix models for random Bergman metrics

23 pages, IOP Latex style, diastatic function Eq. (22) and contact terms in Eqs. (76, 95) corrected, typos fixed. Accepted to JSTAT

J. Stat. Mech. (2012) P04012

10.1088/1742-5468/2012/04/P04012

null

hep-th math-ph math.MP

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

Recently, the authors have proposed a new approach to the theory of random metrics, making an explicit link between probability measures on the space of metrics on a Kahler manifold and random matrix models. We consider simple examples of such models and compute the one and two-point functions of the metric. These geometric correlation functions correspond to new interesting types of matrix model correlators. We study a large class of examples and provide in particular a detailed study of the Wishart model.

[ { "created": "Mon, 19 Dec 2011 16:03:28 GMT", "version": "v1" }, { "created": "Mon, 23 Apr 2012 11:58:49 GMT", "version": "v2" } ]

2012-04-26

[ [ "Ferrari", "Frank", "" ], [ "Klevtsov", "Semyon", "" ], [ "Zelditch", "Steve", "" ] ]

Recently, the authors have proposed a new approach to the theory of random metrics, making an explicit link between probability measures on the space of metrics on a Kahler manifold and random matrix models. We consider simple examples of such models and compute the one and two-point functions of the metric. These geometric correlation functions correspond to new interesting types of matrix model correlators. We study a large class of examples and provide in particular a detailed study of the Wishart model.

11.516063

11.001819

11.174705

10.143693

10.713114

10.807152

11.109972

10.541989

10.767145

12.89509

10.799496

10.185122

10.603643

10.688509

10.341802

10.289014

10.10277

10.281409

10.495255

10.681147

10.479101

hep-th/0611304

Romuald A. Janik

Dongsu Bak, Romuald A. Janik

From static to evolving geometries -- R-charged hydrodynamics from supergravity

15 pages, no figures

Phys.Lett.B645:303-308,2007

10.1016/j.physletb.2006.12.049

null

hep-th gr-qc hep-ph

null

We show that one can obtain asymptotic evolving boost-invariant geometries in a simple manner from the corresponding static solutions. We exhibit the procedure in the case of a supergravity dual of R-charged hydrodynamics by turning on a supergravity gauge field and analyze the relevant thermodynamics. Finally we consider turning on the dilaton and show that electric and magnetic modes in the plasma equilibrate before reaching asymptotic proper times.

[ { "created": "Tue, 28 Nov 2006 13:25:23 GMT", "version": "v1" } ]

2008-11-26

[ [ "Bak", "Dongsu", "" ], [ "Janik", "Romuald A.", "" ] ]

We show that one can obtain asymptotic evolving boost-invariant geometries in a simple manner from the corresponding static solutions. We exhibit the procedure in the case of a supergravity dual of R-charged hydrodynamics by turning on a supergravity gauge field and analyze the relevant thermodynamics. Finally we consider turning on the dilaton and show that electric and magnetic modes in the plasma equilibrate before reaching asymptotic proper times.

21.483446

18.274282

22.017418

19.558281

19.190733

20.926088

25.298222

19.45015

16.874664

22.490236

20.279436

20.181166

19.760548

19.312729

19.606606

18.250122

18.7869

19.724632

18.611931

20.822107

18.339424

2105.12594

Junkai Dong

Junkai Dong, Thomas Hartman, and Yikun Jiang

Averaging over moduli in deformed WZW models

22+17 pages

null

10.1007/JHEP09(2021)185

null

hep-th cond-mat.str-el

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

WZW models live on a moduli space parameterized by current-current deformations. The moduli space defines an ensemble of conformal field theories, which generically have $N$ abelian conserved currents and central charge $c > N$. We calculate the average partition function and show that it can be interpreted as a sum over 3-manifolds. This suggests that the ensemble-averaged theory has a holographic dual, generalizing recent results on Narain CFTs. The bulk theory, at the perturbative level, is identified as $U(1)^{2N}$ Chern-Simons theory coupled to additional matter fields. From a mathematical perspective, our principal result is a Siegel-Weil formula for the characters of an affine Lie algebra.

[ { "created": "Wed, 26 May 2021 14:51:06 GMT", "version": "v1" }, { "created": "Mon, 12 Jul 2021 21:42:41 GMT", "version": "v2" } ]

2021-09-30

[ [ "Dong", "Junkai", "" ], [ "Hartman", "Thomas", "" ], [ "Jiang", "Yikun", "" ] ]

WZW models live on a moduli space parameterized by current-current deformations. The moduli space defines an ensemble of conformal field theories, which generically have $N$ abelian conserved currents and central charge $c > N$. We calculate the average partition function and show that it can be interpreted as a sum over 3-manifolds. This suggests that the ensemble-averaged theory has a holographic dual, generalizing recent results on Narain CFTs. The bulk theory, at the perturbative level, is identified as $U(1)^{2N}$ Chern-Simons theory coupled to additional matter fields. From a mathematical perspective, our principal result is a Siegel-Weil formula for the characters of an affine Lie algebra.

9.108542

7.557524

10.669015

7.711402

8.169255

7.653202

8.346065

8.173413

7.808655

10.869841

7.987536

7.931618

8.930158

8.068786

8.070376

8.0869

7.962371

8.141003

8.252742

9.062782

8.263669

hep-th/0503005

Jen-Chi Lee

Generalized On-Shell Ward Identities in String Theory

null

Prog.Theor.Phys. 91 (1994) 353-360

10.1143/ptp/91.2.353

null

hep-th

null

It is demonstrated that an infinite set of string-tree level on-shell Ward identities, which are valid to all sigma-model loop orders, can be systematically constructed without referring to the string field theory. As examples, bosonic massive scattering amplitudes are calculated explicitly up to the second massive excited states. Ward identities satisfied by these amplitudees are derived by using zero-norm states in the spetrum. In particular, the inter-particle Ward identity generated by the D2xD2' zero-norm state at the second massive level is demonstrated. The four physical propagating states of this mass level are then shown to form a large gauge multiplet. This result justifies our previous consideration on higher inter-spin symmetry from the generalized worldsheet sigma-model point of view.

[ { "created": "Tue, 1 Mar 2005 09:05:05 GMT", "version": "v1" } ]

2017-02-01

[ [ "Lee", "Jen-Chi", "" ] ]

It is demonstrated that an infinite set of string-tree level on-shell Ward identities, which are valid to all sigma-model loop orders, can be systematically constructed without referring to the string field theory. As examples, bosonic massive scattering amplitudes are calculated explicitly up to the second massive excited states. Ward identities satisfied by these amplitudees are derived by using zero-norm states in the spetrum. In particular, the inter-particle Ward identity generated by the D2xD2' zero-norm state at the second massive level is demonstrated. The four physical propagating states of this mass level are then shown to form a large gauge multiplet. This result justifies our previous consideration on higher inter-spin symmetry from the generalized worldsheet sigma-model point of view.

18.488691

17.432507

19.426661

16.655668

17.017397

17.970825

18.209509

16.635447

16.607454

21.817501

17.096926

16.372374

16.203407

16.348682

16.13904

16.538223

15.763218

16.403732

16.273108

18.035496

15.379917

hep-th/0105005

Nicola Maggiore

N.Maggiore (Genoa U.) and A.Tanzini (LPTHE, Paris VI-VII)

Protected Operators in N=2,4 Supersymmetric Theories

17 pages, no figures; some misprints corrected, references added

Nucl.Phys. B613 (2001) 34-48

10.1016/S0550-3213(01)00398-4

GEF-TH-7/2001, LPTHE/01-22

hep-th

null

The anomalous dimension of single and multi-trace composite operators of scalar fields is shown to vanish at all orders of the perturbative series. The proof hold for theories with N=2 supersymmetry with any number of hypermultiplets in a generic representation of the gauge group. It then applies to the finite N=4 theory as well as to non conformal N=2 models.

[ { "created": "Tue, 1 May 2001 08:58:46 GMT", "version": "v1" }, { "created": "Mon, 14 May 2001 13:49:24 GMT", "version": "v2" } ]

2009-11-07

[ [ "Maggiore", "N.", "", "Genoa U." ], [ "Tanzini", "A.", "", "LPTHE, Paris VI-VII" ] ]

The anomalous dimension of single and multi-trace composite operators of scalar fields is shown to vanish at all orders of the perturbative series. The proof hold for theories with N=2 supersymmetry with any number of hypermultiplets in a generic representation of the gauge group. It then applies to the finite N=4 theory as well as to non conformal N=2 models.

8.787021

6.688059

9.360648

8.200641

8.110014

7.818098

7.34864

7.420329

7.54347

11.151129

7.234836

7.129154

8.184212

7.791845

7.911106

7.38166

7.225919

7.420633

7.321657

8.715044

7.649471

1805.07934

Stam Nicolis

Higher time derivatives in the microcanonical ensemble describe dynamics of flux-coupled classical and quantum oscillators

12 pages LaTeX2e

null

hep-th cond-mat.mes-hall gr-qc math-ph math.MP quant-ph

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

We show that it is possible to consistently describe dynamical systems, whose equations of motion are of degree higher than two, in the microcanonical ensemble, even if the higher derivatives aren't coordinate artifacts. Higher time derivatives imply that there are more than one Hamiltonians, conserved quantities due to time translation invariance, and, if the volume in phase space, defined by their intersection, is compact, microcanonical averages can be defined and there isn't any instability, in the sense of Ostrogradsky, even though each Hamiltonian, individually, may define a non-compact (hyper)surface. We provide as concrete example of these statements the Pais--Uhlenbeck oscillator and show that it can describe a system that makes sense in the microcanonical ensemble. It describes two oscillators that are coupled by imposing a fixed phase difference, that thereby describes a non--local interaction between them. The consistent quantum dynamics can straightforwardly be expressed using two pairs of creation and annihilation operators, with the phase difference describing a flux, that describes the interaction. The properties of the action imply that particular solutions, that would describe independent oscillators, are, in general, not admissible.The reason is that the coordinate transformation, that would decouple the oscillators isn't a symmetry of the action--unless a "BPS bound" is saturated. Only then do they decouple. But, in these cases, the action does describe one, not two, oscillators, anyway and the higher derivative term is a coordinate artifact.

[ { "created": "Mon, 21 May 2018 08:05:01 GMT", "version": "v1" } ]

2018-05-22

[ [ "Nicolis", "Stam", "" ] ]

We show that it is possible to consistently describe dynamical systems, whose equations of motion are of degree higher than two, in the microcanonical ensemble, even if the higher derivatives aren't coordinate artifacts. Higher time derivatives imply that there are more than one Hamiltonians, conserved quantities due to time translation invariance, and, if the volume in phase space, defined by their intersection, is compact, microcanonical averages can be defined and there isn't any instability, in the sense of Ostrogradsky, even though each Hamiltonian, individually, may define a non-compact (hyper)surface. We provide as concrete example of these statements the Pais--Uhlenbeck oscillator and show that it can describe a system that makes sense in the microcanonical ensemble. It describes two oscillators that are coupled by imposing a fixed phase difference, that thereby describes a non--local interaction between them. The consistent quantum dynamics can straightforwardly be expressed using two pairs of creation and annihilation operators, with the phase difference describing a flux, that describes the interaction. The properties of the action imply that particular solutions, that would describe independent oscillators, are, in general, not admissible.The reason is that the coordinate transformation, that would decouple the oscillators isn't a symmetry of the action--unless a "BPS bound" is saturated. Only then do they decouple. But, in these cases, the action does describe one, not two, oscillators, anyway and the higher derivative term is a coordinate artifact.

13.746914

14.358245

14.375888

12.854351

13.452372

14.274918

14.286253

13.257058

13.030406

14.51817

13.270812

12.590812

13.012573

12.79061

12.623202

13.020425

12.465222

13.093465

12.867011

13.265491

12.972168

1712.07986

Jeffrey Harvey

Jeffrey A. Harvey and Gregory W. Moore

Conway Subgroup Symmetric Compactifications Of Heterotic String

42 pages

null

10.1088/1751-8121/aac9d1

null

hep-th

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

We investigate special compactifications of the heterotic string for which the space of half-BPS states is, in a natural way, a representation of various subgroups of the Conway group. These compactifications provide a useful framework for analyzing the action of some of the large symmetry groups appearing in discussions of Moonshine in the physics literature. We investigate toroidal compactifications of heterotic string with sixteen supersymmetries as well as asymmetric toroidal orbifolds with $N=2$ supersymmetry in four dimensions that arise as $K3 \times T^2$ compactifications. The latter Conway subgroup symmetric compactifications of the heterotic string might have some interesting implications for D-brane bound states on Calabi-Yau manifolds.

[ { "created": "Thu, 21 Dec 2017 14:55:34 GMT", "version": "v1" } ]

2018-08-15

[ [ "Harvey", "Jeffrey A.", "" ], [ "Moore", "Gregory W.", "" ] ]

We investigate special compactifications of the heterotic string for which the space of half-BPS states is, in a natural way, a representation of various subgroups of the Conway group. These compactifications provide a useful framework for analyzing the action of some of the large symmetry groups appearing in discussions of Moonshine in the physics literature. We investigate toroidal compactifications of heterotic string with sixteen supersymmetries as well as asymmetric toroidal orbifolds with $N=2$ supersymmetry in four dimensions that arise as $K3 \times T^2$ compactifications. The latter Conway subgroup symmetric compactifications of the heterotic string might have some interesting implications for D-brane bound states on Calabi-Yau manifolds.

9.680444

8.839967

9.838533

8.088838

8.792362

9.27243

8.814799

8.166569

8.422824

11.089695

7.972589

8.88355

9.493889

8.663692

8.569162

8.725634

8.634951

8.888675

9.050284

9.383035

8.704245

hep-th/9310018

Lars Brink

Lars Brink and Mikhail A. Vasiliev

Representations of the $S_N$-Extended Heisenberg Algebra and Relations Between Knizhnik-Zamolodchikov Equations and Quantum Calogero Model

7 pages

Mod.Phys.Lett. A8 (1993) 3585-3592

10.1142/S0217732393002324

G\"{o}teborg ITP 93-42, FIAN/TD/18--93

hep-th nlin.SI solv-int

null

We discuss lowest-weight representations of the $S_N$-Extended Heisenberg Algebras underlying the $N$-body quantum-mechanical Calogero model. Our construction leads to flat derivatives interpolating between Knizhnik-Zamolodchikov and Dunkl derivatives. It is argued that based on these results one can establish new links between solutions of the Knizhnik-Zamolodchikov equations and wave functions of the Calogero model.

[ { "created": "Mon, 4 Oct 1993 15:30:43 GMT", "version": "v1" } ]

2009-10-22

[ [ "Brink", "Lars", "" ], [ "Vasiliev", "Mikhail A.", "" ] ]

We discuss lowest-weight representations of the $S_N$-Extended Heisenberg Algebras underlying the $N$-body quantum-mechanical Calogero model. Our construction leads to flat derivatives interpolating between Knizhnik-Zamolodchikov and Dunkl derivatives. It is argued that based on these results one can establish new links between solutions of the Knizhnik-Zamolodchikov equations and wave functions of the Calogero model.

9.208387

6.811116

10.289286

7.550961

8.604157

7.817133

7.829969

6.94073

7.306201

10.848691

7.272203

7.957456

8.724547

8.185219

8.124676

8.229037

7.859241

8.159276

7.877367

8.139718

7.884084

hep-th/9709168

Andrei Mironov

A.Zabrodin

Zero curvature representation for classical lattice sine-Gordon equation via quantum R-matrix

10 pages, LaTeX (misprints are corrected)

JETP Lett. 66 (1997) 653-659

10.1134/1.567561

ITEP-TH-47/97

hep-th

null

Local M-operators for the classical sine-Gordon model in discrete space-time are constructed by convolution of the quantum trigonometric 4$\times$4 R-matrix with certain vectors in its "quantum" space. Components of the vectors are identified with $\tau$-functions of the model. This construction generalizes the known representation of M-operators in continuous time models in terms of Lax operators and classical $r$-matrix.

[ { "created": "Tue, 23 Sep 1997 18:10:52 GMT", "version": "v1" }, { "created": "Sat, 11 Oct 1997 16:14:27 GMT", "version": "v2" } ]

2009-10-30

[ [ "Zabrodin", "A.", "" ] ]

Local M-operators for the classical sine-Gordon model in discrete space-time are constructed by convolution of the quantum trigonometric 4$\times$4 R-matrix with certain vectors in its "quantum" space. Components of the vectors are identified with $\tau$-functions of the model. This construction generalizes the known representation of M-operators in continuous time models in terms of Lax operators and classical $r$-matrix.

13.76427

11.397287

15.713929

11.427691

12.316136

12.766293

13.188966

10.328677

12.048274

16.482307

10.972898

12.181478

12.648813

11.329024

11.5043

12.046365

12.35544

11.568643

11.524396

13.757944

11.768359

0912.5087

Andjelo Samsarov

S.Meljanac, D.Meljanac, A.Samsarov, M.Stojic

Kappa-deformed Snyder spacetime

12 pages, no figures, LaTeX2e class file, accepted for publication in Modern Physics Letters A

Mod.Phys.Lett.A25:579-590,2010

10.1142/S0217732310032652

null

hep-th

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

We present Lie-algebraic deformations of Minkowski space with undeformed Poincare algebra. These deformations interpolate between Snyder and kappa-Minkowski space. We find realizations of noncommutative coordinates in terms of commutative coordinates and derivatives. Deformed Leibniz rule, the coproduct structure and star product are found. Special cases, particularly Snyder and kappa-Minkowski in Maggiore-type realizations are discussed. Our construction leads to a new class of deformed special relativity theories.

[ { "created": "Sun, 27 Dec 2009 16:28:45 GMT", "version": "v1" } ]

2010-04-30

[ [ "Meljanac", "S.", "" ], [ "Meljanac", "D.", "" ], [ "Samsarov", "A.", "" ], [ "Stojic", "M.", "" ] ]

We present Lie-algebraic deformations of Minkowski space with undeformed Poincare algebra. These deformations interpolate between Snyder and kappa-Minkowski space. We find realizations of noncommutative coordinates in terms of commutative coordinates and derivatives. Deformed Leibniz rule, the coproduct structure and star product are found. Special cases, particularly Snyder and kappa-Minkowski in Maggiore-type realizations are discussed. Our construction leads to a new class of deformed special relativity theories.

9.054672

9.306267

9.391996

7.757761

8.351057

8.803406

9.172765

8.997921

8.954157

9.778102

8.475953

8.319954

9.292765

8.76912

8.694791

8.54948

8.48455

8.515522

8.830656

9.362534

8.507656

1107.2135

David Ridout

Thomas Creutzig and David Ridout

Relating the Archetypes of Logarithmic Conformal Field Theory

37 pages, 2 figures, several diagrams; v2 added a few paragraphs and references

null

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

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

Logarithmic conformal field theory is a rich and vibrant area of modern mathematical physics with well-known applications to both condensed matter theory and string theory. Our limited understanding of these theories is based upon detailed studies of various examples that one may regard as archetypal. These include the c=-2 triplet model, the Wess-Zumino-Witten model on SL(2;R) at level k=-1/2, and its supergroup analogue on GL(1|1). Here, the latter model is studied algebraically through representation theory, fusion and modular invariance, facilitating a subsequent investigation of its cosets and extended algebras. The results show that the archetypes of logarithmic conformal field theory are in fact all very closely related, as are many other examples including, in particular, the SL(2|1) models at levels 1 and -1/2. The conclusion is then that the archetypal examples of logarithmic conformal field theory are practically all the same, so we should not expect that their features are in any way generic. Further archetypal examples must be sought.

[ { "created": "Mon, 11 Jul 2011 20:29:53 GMT", "version": "v1" }, { "created": "Sat, 6 Apr 2013 01:14:43 GMT", "version": "v2" } ]

2013-04-09

[ [ "Creutzig", "Thomas", "" ], [ "Ridout", "David", "" ] ]

Logarithmic conformal field theory is a rich and vibrant area of modern mathematical physics with well-known applications to both condensed matter theory and string theory. Our limited understanding of these theories is based upon detailed studies of various examples that one may regard as archetypal. These include the c=-2 triplet model, the Wess-Zumino-Witten model on SL(2;R) at level k=-1/2, and its supergroup analogue on GL(1|1). Here, the latter model is studied algebraically through representation theory, fusion and modular invariance, facilitating a subsequent investigation of its cosets and extended algebras. The results show that the archetypes of logarithmic conformal field theory are in fact all very closely related, as are many other examples including, in particular, the SL(2|1) models at levels 1 and -1/2. The conclusion is then that the archetypal examples of logarithmic conformal field theory are practically all the same, so we should not expect that their features are in any way generic. Further archetypal examples must be sought.

6.924779

7.460956

9.785244

7.06506

7.413666

6.984315

7.493015

7.375657

6.78235

8.910508

7.027937

6.732435

8.061892

6.82243

6.748862

6.96209

6.841932

6.533835

6.751678

7.831709

6.834015

1706.07439

Ritam Sinha

Adwait Gaikwad and Ritam Sinha

Spectral Form Factor in Non-Gaussian Random Matrix Theories

Introduction modified, section 2 moved to the Appendix, main text slightly modified, section on Paley-Wiener theorem omitted, new perspective on the results provided in sec V, typos corrected, footnotes added, references added, conclusion unchanged

Phys. Rev. D 100, 026017 (2019)

10.1103/PhysRevD.100.026017

null

hep-th

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

We consider Random Matrix Theories with non-Gaussian potentials that have a rich phase structure in the large $N$ limit. We calculate the Spectral Form Factor (SFF) in such models and present them as interesting examples of dynamical models that display multi-criticality at short time-scales and universality at large time scales. The models with quartic and sextic potentials are explicitly worked out. The disconnected part of the Spectral Form Factor (SFF) shows a change in its decay behavior exactly at the critical points of each model. The dip-time of the SFF is estimated in each of these models. The late time behavior of all polynomial potential matrix models is shown to display a certain universality. This is related to the universality in the short distance correlations of the mean-level densities. We speculate on the implications of such universality for chaotic quantum systems including the SYK model.

[ { "created": "Thu, 22 Jun 2017 18:00:30 GMT", "version": "v1" }, { "created": "Mon, 2 Apr 2018 15:50:17 GMT", "version": "v2" }, { "created": "Wed, 22 May 2019 13:18:53 GMT", "version": "v3" } ]

2019-07-31

[ [ "Gaikwad", "Adwait", "" ], [ "Sinha", "Ritam", "" ] ]

We consider Random Matrix Theories with non-Gaussian potentials that have a rich phase structure in the large $N$ limit. We calculate the Spectral Form Factor (SFF) in such models and present them as interesting examples of dynamical models that display multi-criticality at short time-scales and universality at large time scales. The models with quartic and sextic potentials are explicitly worked out. The disconnected part of the Spectral Form Factor (SFF) shows a change in its decay behavior exactly at the critical points of each model. The dip-time of the SFF is estimated in each of these models. The late time behavior of all polynomial potential matrix models is shown to display a certain universality. This is related to the universality in the short distance correlations of the mean-level densities. We speculate on the implications of such universality for chaotic quantum systems including the SYK model.

10.839019

10.765488

12.325536

10.51457

10.68418

10.485104

10.686672

11.170415

9.981941

12.377637

10.362245

9.843939

10.699983

10.160589

10.054127

10.069929

10.033194

10.104948

9.893233

10.543118

9.714632

hep-th/0110002

Emil

Emil T.Akhmedov (ITEP,Moscow)

Non-Abelian Structures in BSFT and RR couplings

Latex, 13pp., Minor correction (references added); This is the extended version of the talk presented at 10th Tohwa International Symposium on String theory which was held in Fukuoka, July 2001

null

10.1063/1.1454352

ITEP-TH-53/01

hep-th

null

In this talk we show that the tachyon annihilation combined with an approximation, in which string theory non-commutativity structure is captured by the algebra of differential operators on space-time, gives a unified point of view on: non-Abelian structures on $D$-branes; all lowest energy excitations on $D$-branes; all RR couplings in type II string theory.

[ { "created": "Sat, 29 Sep 2001 13:55:59 GMT", "version": "v1" }, { "created": "Thu, 4 Oct 2001 11:46:48 GMT", "version": "v2" } ]

2009-11-07

[ [ "Akhmedov", "Emil T.", "", "ITEP,Moscow" ] ]

In this talk we show that the tachyon annihilation combined with an approximation, in which string theory non-commutativity structure is captured by the algebra of differential operators on space-time, gives a unified point of view on: non-Abelian structures on $D$-branes; all lowest energy excitations on $D$-branes; all RR couplings in type II string theory.

15.813282

14.269009

17.68832

12.964049

13.059006

14.583658

12.78158

13.220527

13.376421

19.430603

14.089003

12.873142

16.839216

12.982001

12.977266

12.769037

12.871887

13.115167

13.025073

15.765341

12.692798

1305.5809

Massimo Taronna

Euihun Joung, Massimo Taronna, Andrew Waldron

A Calculus for Higher Spin Interactions

24 pages, 3 figures, LaTex. References added, typos corrected. Final version to appear in JHEP

null

10.1007/JHEP07(2013)186

AEI-2013-211

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

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

Higher spin theories can be efficiently described in terms of auxiliary St\"uckelberg or projective space field multiplets. By considering how higher spin models couple to scale, these approaches can be unified in a conformal geometry/tractor calculus framework. We review these methods and apply them to higher spin vertices to obtain a generating function for massless, massive and partially massless three-point interactions.

[ { "created": "Fri, 24 May 2013 17:41:50 GMT", "version": "v1" }, { "created": "Wed, 31 Jul 2013 18:39:58 GMT", "version": "v2" } ]

2013-08-01

[ [ "Joung", "Euihun", "" ], [ "Taronna", "Massimo", "" ], [ "Waldron", "Andrew", "" ] ]

Higher spin theories can be efficiently described in terms of auxiliary St\"uckelberg or projective space field multiplets. By considering how higher spin models couple to scale, these approaches can be unified in a conformal geometry/tractor calculus framework. We review these methods and apply them to higher spin vertices to obtain a generating function for massless, massive and partially massless three-point interactions.

23.523592

19.289383

21.783798

21.49869

21.832497

22.134398

22.96756

21.586472

20.494423

25.28389

19.721849

19.926722

22.309767

20.832291

21.441584

21.20755

21.129566

20.389812

21.741526

21.9401

21.357639

1905.03665

Leonardo Giuliano Trombetta

Diana L\'opez Nacir, Francisco D. Mazzitelli, Leonardo G. Trombetta

To the sphere and back again: de Sitter infrared correlators at NTLO in 1/N

10 pages, 1 figure

JHEP 08 (2019) 052

10.1007/JHEP08(2019)052

null

hep-th gr-qc

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

We analyze the infrared behavior of the two and four-point functions for the massless $O(N)$ model in Lorentzian de Sitter spacetime, using the $1/N$ expansion. Our approach is based in the study of the Schwinger-Dyson equations on the sphere (Euclidean de Sitter space), using the fact that the infrared behavior in Lorentzian spacetime is determined by the pole structure of the Euclidean correlation functions. We compute the two-point function up to the NTLO in $1/N$, and show that in the infrared it behaves as the superposition of two massive free propagators with effective masses of the same order, but not equal to, the dynamical mass $m_{dyn}$. We compare our results with those obtained using other approaches, and find that they are equivalent but retrieved in a considerably simpler way. We also discuss the infrared behavior of the equal-times four-point functions.

[ { "created": "Thu, 9 May 2019 14:39:52 GMT", "version": "v1" }, { "created": "Fri, 9 Aug 2019 09:31:58 GMT", "version": "v2" } ]

2019-08-12

[ [ "Nacir", "Diana López", "" ], [ "Mazzitelli", "Francisco D.", "" ], [ "Trombetta", "Leonardo G.", "" ] ]

We analyze the infrared behavior of the two and four-point functions for the massless $O(N)$ model in Lorentzian de Sitter spacetime, using the $1/N$ expansion. Our approach is based in the study of the Schwinger-Dyson equations on the sphere (Euclidean de Sitter space), using the fact that the infrared behavior in Lorentzian spacetime is determined by the pole structure of the Euclidean correlation functions. We compute the two-point function up to the NTLO in $1/N$, and show that in the infrared it behaves as the superposition of two massive free propagators with effective masses of the same order, but not equal to, the dynamical mass $m_{dyn}$. We compare our results with those obtained using other approaches, and find that they are equivalent but retrieved in a considerably simpler way. We also discuss the infrared behavior of the equal-times four-point functions.

6.38078

5.958598

6.667665

6.172649

6.150727

6.09402

5.943595

6.337376

6.249641

6.460044

6.009641

6.178055

6.359766

6.037127

6.266745

6.24541

6.135957

6.097818

6.095403

6.181652

5.953687

hep-th/0611264

Bertrand Berche

Oleksandr Kapikranian (ICMP, LPM), Bertrand Berche (LPM), Yurij Holovatch (ICMP)

Quasi-long-range ordering in a finite-size 2D Heisenberg model

9 pages, 3 postscript figs, style files included

J.Phys.A40:3741-4748,2007

10.1088/1751-8113/40/14/001

null

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

null

We analyse the low-temperature behaviour of the Heisenberg model on a two-dimensional lattice of finite size. Presence of a residual magnetisation in a finite-size system enables us to use the spin wave approximation, which is known to give reliable results for the XY model at low temperatures T. For the system considered, we find that the spin-spin correlation function decays as 1/r^eta(T) for large separations r bringing about presence of a quasi-long-range ordering. We give analytic estimates for the exponent eta(T) in different regimes and support our findings by Monte Carlo simulations of the model on lattices of different sizes at different temperatures.

[ { "created": "Fri, 24 Nov 2006 10:59:40 GMT", "version": "v1" } ]

2008-11-26

[ [ "Kapikranian", "Oleksandr", "", "ICMP, LPM" ], [ "Berche", "Bertrand", "", "LPM" ], [ "Holovatch", "Yurij", "", "ICMP" ] ]

We analyse the low-temperature behaviour of the Heisenberg model on a two-dimensional lattice of finite size. Presence of a residual magnetisation in a finite-size system enables us to use the spin wave approximation, which is known to give reliable results for the XY model at low temperatures T. For the system considered, we find that the spin-spin correlation function decays as 1/r^eta(T) for large separations r bringing about presence of a quasi-long-range ordering. We give analytic estimates for the exponent eta(T) in different regimes and support our findings by Monte Carlo simulations of the model on lattices of different sizes at different temperatures.

8.736627

9.565208

8.887024

8.690606

9.269011

9.624049

9.099036

8.927599

9.126792

8.684171

8.626783

8.710468

8.424047

8.606474

8.700371

8.726963

8.631826

8.654684

8.174054

8.535133

8.367445

1406.4147

Florian Kuhnel

Florian Kuhnel, Bo Sundborg

High-Energy Gravitational Scattering and Bose-Einstein Condensates of Gravitons

8 pages, 1 figure

null

10.1007/JHEP12(2014)016

null

hep-th gr-qc

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

Quantum black holes are difficult to describe. We consider two seemingly divergent approaches, high-energy scattering and the proposal to regard black holes as Bose-Einstein condensates of gravitons, and establish a connection between them. High-energy scattering is studied in the eikonal approximation, which is processed further by a saddle-point approximation. The dominant contribution to the scattering amplitude comes from a ladder diagram with the exchange of N gravitons, and the number of gravitons follows a Poisson distribution. This approximation supports the picture of a graviton Bose-Einstein condensate with an extent equal the Schwarzschild radius, which grows with N in a way determined by the saddle point. The approach permits calculations of 1 / N corrections from the fluctuations around the saddle points and we comment on these. Scattering methods might be useful probes of quantum black holes, especially when interpreted in terms of condensates.

[ { "created": "Mon, 16 Jun 2014 20:00:16 GMT", "version": "v1" } ]

2015-06-22

[ [ "Kuhnel", "Florian", "" ], [ "Sundborg", "Bo", "" ] ]

Quantum black holes are difficult to describe. We consider two seemingly divergent approaches, high-energy scattering and the proposal to regard black holes as Bose-Einstein condensates of gravitons, and establish a connection between them. High-energy scattering is studied in the eikonal approximation, which is processed further by a saddle-point approximation. The dominant contribution to the scattering amplitude comes from a ladder diagram with the exchange of N gravitons, and the number of gravitons follows a Poisson distribution. This approximation supports the picture of a graviton Bose-Einstein condensate with an extent equal the Schwarzschild radius, which grows with N in a way determined by the saddle point. The approach permits calculations of 1 / N corrections from the fluctuations around the saddle points and we comment on these. Scattering methods might be useful probes of quantum black holes, especially when interpreted in terms of condensates.

9.401133

9.419488

9.65881

9.096874

10.092844

9.098151

9.294941

9.348569

9.023142

9.297651

9.066571

9.201656

9.296997

9.093744

9.226535

9.242862

9.153492

9.194121

9.218975

9.694332

9.24917

hep-th/0205029

Stuart Dowker

J.S.Dowker and Klaus Kirsten

Elliptic functions and temperature inversion symmetry on spheres

33 pages, JyTeX

Nucl.Phys. B638 (2002) 405-432

10.1016/S0550-3213(02)00477-7

null

hep-th cond-mat

null

Finite temperature boson and fermion field theories on ultrastatic space-times with a d-sphere spatial section are discussed with one eye on the questions of temperature inversion symmetry and modular invariance. For conformally invariant theories it is shown that the total energy at any temperature for any dimension, d, is given as a power series in the d=3 and d=5 energies, for scalars, and the d=1 and d=3 energies for spinors. Further, these energies can be given in finite terms at specific temperatures associated with singular moduli of elliptic function theory. Some examples are listed and numbers given.

[ { "created": "Fri, 3 May 2002 11:44:25 GMT", "version": "v1" } ]

2015-06-26

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

Finite temperature boson and fermion field theories on ultrastatic space-times with a d-sphere spatial section are discussed with one eye on the questions of temperature inversion symmetry and modular invariance. For conformally invariant theories it is shown that the total energy at any temperature for any dimension, d, is given as a power series in the d=3 and d=5 energies, for scalars, and the d=1 and d=3 energies for spinors. Further, these energies can be given in finite terms at specific temperatures associated with singular moduli of elliptic function theory. Some examples are listed and numbers given.

14.615462

12.98309

13.559936

12.921853

13.593166

12.923141

13.550733

12.310599

13.302401

16.449677

12.899014

13.460416

14.19171

13.599856

13.171632

12.62748

13.099789

13.306407

13.228454

13.949777

13.253959

0805.2610

Daniel Grumiller

Daniel Grumiller and Niklas Johansson

Instability in cosmological topologically massive gravity at the chiral point

19 pages. v3: corrected sign mistake in (4.1) and related equations, v4: corrected e-print number in Ref. [53]

JHEP 0807:134,2008

10.1088/1126-6708/2008/07/134

MIT-CTP 3949, UUITP-08/08

hep-th gr-qc

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

We consider cosmological topologically massive gravity at the chiral point with positive sign of the Einstein-Hilbert term. We demonstrate the presence of a negative energy bulk mode that grows linearly in time. Unless there are physical reasons to discard this mode, this theory is unstable. To address this issue we prove that the mode is not pure gauge and that its negative energy is time-independent and finite. The isometry generators L_0 and \bar{L}_0 have non-unitary matrix representations like in logarithmic CFT. While the new mode obeys boundary conditions that are slightly weaker than the ones by Brown and Henneaux, its fall-off behavior is compatible with spacetime being asymptotically AdS_3. We employ holographic renormalization to show that the variational principle is well-defined. The corresponding Brown-York stress tensor is finite, traceless and conserved. Finally we address possibilities to eliminate the instability and prospects for chiral gravity.

[ { "created": "Mon, 19 May 2008 18:18:42 GMT", "version": "v1" }, { "created": "Thu, 29 May 2008 19:08:50 GMT", "version": "v2" }, { "created": "Thu, 8 Oct 2009 16:31:19 GMT", "version": "v3" }, { "created": "Thu, 22 Oct 2009 06:55:10 GMT", "version": "v4" } ]

2010-05-12

[ [ "Grumiller", "Daniel", "" ], [ "Johansson", "Niklas", "" ] ]

We consider cosmological topologically massive gravity at the chiral point with positive sign of the Einstein-Hilbert term. We demonstrate the presence of a negative energy bulk mode that grows linearly in time. Unless there are physical reasons to discard this mode, this theory is unstable. To address this issue we prove that the mode is not pure gauge and that its negative energy is time-independent and finite. The isometry generators L_0 and \bar{L}_0 have non-unitary matrix representations like in logarithmic CFT. While the new mode obeys boundary conditions that are slightly weaker than the ones by Brown and Henneaux, its fall-off behavior is compatible with spacetime being asymptotically AdS_3. We employ holographic renormalization to show that the variational principle is well-defined. The corresponding Brown-York stress tensor is finite, traceless and conserved. Finally we address possibilities to eliminate the instability and prospects for chiral gravity.

9.517327

10.161481

11.267239

9.44873

9.346289

10.378014

9.303612

9.406767

9.16392

11.349065

9.315798

9.490113

9.527693

9.581963

9.670121

9.637897

9.46296

9.431753

9.67414

9.851649

9.563713

1412.6373

James Stevenson

Clare Burrage, Edmund J. Copeland, James Stevenson

Ellipticity Weakens Chameleon Screening

null

10.1103/PhysRevD.91.065030

null

hep-th astro-ph.CO

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

The chameleon mechanism enables a long range fifth force to be screened in dense environments when non-trivial self interactions of the field cause its mass to increase with the local density. To date, chameleon fifth forces have mainly been studied for spherically symmetric sources, however the non-linear self interactions mean that the chameleon responds to changes in the shape of the source differently to gravity. In this work we focus on ellipsoidal departures from spherical symmetry and compute the full form of the chameleon force, comparing it's shape dependence to that of gravity. Enhancement of the chameleon force by up to 40% is possible when deforming a sphere to an ellipsoid of the same mass, with an ellipticity $\simeq 0.99$.

[ { "created": "Fri, 19 Dec 2014 15:21:22 GMT", "version": "v1" } ]

2015-03-31

[ [ "Burrage", "Clare", "" ], [ "Copeland", "Edmund J.", "" ], [ "Stevenson", "James", "" ] ]

The chameleon mechanism enables a long range fifth force to be screened in dense environments when non-trivial self interactions of the field cause its mass to increase with the local density. To date, chameleon fifth forces have mainly been studied for spherically symmetric sources, however the non-linear self interactions mean that the chameleon responds to changes in the shape of the source differently to gravity. In this work we focus on ellipsoidal departures from spherical symmetry and compute the full form of the chameleon force, comparing it's shape dependence to that of gravity. Enhancement of the chameleon force by up to 40% is possible when deforming a sphere to an ellipsoid of the same mass, with an ellipticity $\simeq 0.99$.

9.836899

9.103198

7.927914

7.690631

7.799074

9.117715

8.543145

8.486633

7.871177

7.836937

8.020341

7.949946

7.305384

7.48109

7.966446

7.962042

7.659304

7.336069

7.331867

7.462193

7.609108

1702.00879

Dionisio Bazeia

D. Bazeia, M.A. Marques, R. Menezes

Twinlike Models for Kinks, Vortices and Monopoles

8 pages. New version, to appear in PRD

Phys. Rev. D 96, 025010 (2017)

10.1103/PhysRevD.96.025010

null

hep-th

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

This work deals with twinlike models that support topological structures such as kinks, vortices and monopoles. We investigate the equations of motion and develop the first order framework to show how to build distinct models with the same solution and energy density, as required to make them twinlike models. We also investigate how the stability under small fluctuations behaves and introduce the conditions to get the same stability on general grounds. In particular, we study models that support kinks, vortices and monopoles in one, two, and three spatial dimensions, respectively.

[ { "created": "Fri, 3 Feb 2017 00:34:59 GMT", "version": "v1" }, { "created": "Wed, 21 Jun 2017 17:22:12 GMT", "version": "v2" } ]

2017-07-19

[ [ "Bazeia", "D.", "" ], [ "Marques", "M. A.", "" ], [ "Menezes", "R.", "" ] ]

This work deals with twinlike models that support topological structures such as kinks, vortices and monopoles. We investigate the equations of motion and develop the first order framework to show how to build distinct models with the same solution and energy density, as required to make them twinlike models. We also investigate how the stability under small fluctuations behaves and introduce the conditions to get the same stability on general grounds. In particular, we study models that support kinks, vortices and monopoles in one, two, and three spatial dimensions, respectively.

12.591812

8.400004

11.969132

8.720028

8.597337

8.554989

8.105065

8.166849

8.539752

13.358783

9.607877

9.991793

12.005514

10.377222

10.272804

10.265642

9.884609

10.302843

10.368262

12.224466

10.589582

0705.1507

Jae-Suk Park

Semi-Classical Quantum Fields Theories and Frobenius Manifolds

null

Lett.Math.Phys.81:41-59,2007

10.1007/s11005-007-0165-z

null

hep-th math.QA

null

We show that a semi-classical quantum field theory comes with a versal family with the property that the corresponding partition function generates all path integrals and satisfies a system of 2nd order differential equations determined by algebras of classical observables. This versal family gives rise to a notion of special coordinates that is analogous to that in string theories. We also show that for a large class of semi-classical theories, their moduli space has the structure of a Frobenius super-manifold.

[ { "created": "Thu, 10 May 2007 16:26:40 GMT", "version": "v1" } ]

2008-11-26

[ [ "Park", "Jae-Suk", "" ] ]

We show that a semi-classical quantum field theory comes with a versal family with the property that the corresponding partition function generates all path integrals and satisfies a system of 2nd order differential equations determined by algebras of classical observables. This versal family gives rise to a notion of special coordinates that is analogous to that in string theories. We also show that for a large class of semi-classical theories, their moduli space has the structure of a Frobenius super-manifold.

11.933833

12.026055

13.613372

11.743143

11.72486

12.65977

11.80167

11.486987

11.299418

14.621018

11.544922

11.378366

12.529982

11.457384

11.347363

11.802967

11.861361

11.652033

12.044722

12.242472

11.336263

2202.08056

Dan Radu Grigore

Dan-Radu Grigore

Wick Theorem and Hopf Algebra Structure in Causal Perturbative Quantum Field Theory

57 pages, minor improvements. arXiv admin note: text overlap with arXiv:2007.01115

null

hep-th math-ph math.MP

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

We consider the general framework of perturbative quantum field theory for the pure Yang-Mills model. We give a more precise version of the Wick theorem using Hopf algebra notations for chronological products and not for Feynman graphs. Next we prove that Wick expansion property can be preserved for all cases in order $ n = 2. $ However, gauge invariance is broken for chronological products of Wick submonomials.

[ { "created": "Wed, 16 Feb 2022 13:40:47 GMT", "version": "v1" }, { "created": "Thu, 11 Aug 2022 05:49:23 GMT", "version": "v2" } ]

2022-08-12

[ [ "Grigore", "Dan-Radu", "" ] ]

We consider the general framework of perturbative quantum field theory for the pure Yang-Mills model. We give a more precise version of the Wick theorem using Hopf algebra notations for chronological products and not for Feynman graphs. Next we prove that Wick expansion property can be preserved for all cases in order $ n = 2. $ However, gauge invariance is broken for chronological products of Wick submonomials.

20.788982

21.213215

22.854652

18.318645

19.382423

22.067337

19.628174

19.275

21.729643

25.167524

19.351805

19.426805

20.283915

18.775017

19.672623

20.527447

19.126232

18.980698

19.391987

19.011213

18.809549

1103.5468

Daniel Grumiller

Mario Bertin, Daniel Grumiller, Dmitri Vassilevich and Thomas Zojer

Generalised massive gravity one-loop partition function and AdS/(L)CFT

25 p., 2 jpg figs, v2: added 6 lines of clarifying text after Eq. (2.38)

JHEP 1106:111,2011

10.1007/JHEP06(2011)111

TUW-11-06

hep-th gr-qc

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

The graviton 1-loop partition function is calculated for Euclidean generalised massive gravity (GMG) using AdS heat kernel techniques. We find that the results fit perfectly into the AdS/(L)CFT picture. Conformal Chern-Simons gravity, a singular limit of GMG, leads to an additional contribution in the 1-loop determinant from the conformal ghost. We show that this contribution has a nice interpretation on the conformal field theory side in terms of a semi-classical null vector at level two descending from a primary with conformal weights (3/2,-1/2).

[ { "created": "Mon, 28 Mar 2011 20:03:24 GMT", "version": "v1" }, { "created": "Wed, 8 Jun 2011 06:42:33 GMT", "version": "v2" } ]

2011-06-28

[ [ "Bertin", "Mario", "" ], [ "Grumiller", "Daniel", "" ], [ "Vassilevich", "Dmitri", "" ], [ "Zojer", "Thomas", "" ] ]

The graviton 1-loop partition function is calculated for Euclidean generalised massive gravity (GMG) using AdS heat kernel techniques. We find that the results fit perfectly into the AdS/(L)CFT picture. Conformal Chern-Simons gravity, a singular limit of GMG, leads to an additional contribution in the 1-loop determinant from the conformal ghost. We show that this contribution has a nice interpretation on the conformal field theory side in terms of a semi-classical null vector at level two descending from a primary with conformal weights (3/2,-1/2).

11.83602

10.416422

12.145857

10.494678

11.423548

9.54361

10.955988

10.531627

10.69872

12.534108

9.986703

10.330027

12.166821

10.739139

10.601548

10.429018

10.770862

10.772553

10.403282

11.318328

10.288692

1709.05057

Michael M. Scherer

Nikolai Zerf, Luminita N. Mihaila, Peter Marquard, Igor F. Herbut, Michael M. Scherer

Four-loop critical exponents for the Gross-Neveu-Yukawa models

18 pages, 1 figure, 3 supplemental files attached containing the critical exponents for general number of fermion flavors for each of the models

Phys. Rev. D 96, 096010 (2017)

10.1103/PhysRevD.96.096010

null

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

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

We study the chiral Ising, the chiral XY and the chiral Heisenberg models at four-loop order with the perturbative renormalization group in $4-\epsilon$ dimensions and compute critical exponents for the Gross-Neveu-Yukawa fixed points to order $\mathcal{O}(\epsilon^4)$. Further, we provide Pad\'e estimates for the correlation length exponent, the boson and fermion anomalous dimension as well as the leading correction to scaling exponent in 2+1 dimensions. We also confirm the emergence of supersymmetric field theories at four loops for the chiral Ising and the chiral XY models with $N=1/4$ and $N=1/2$ fermions, respectively. Furthermore, applications of our results relevant to various quantum transitions in the context of Dirac and Weyl semimetals are discussed, including interaction-induced transitions in graphene and surface states of topological insulators.

[ { "created": "Fri, 15 Sep 2017 04:45:34 GMT", "version": "v1" } ]

2017-11-22

[ [ "Zerf", "Nikolai", "" ], [ "Mihaila", "Luminita N.", "" ], [ "Marquard", "Peter", "" ], [ "Herbut", "Igor F.", "" ], [ "Scherer", "Michael M.", "" ] ]

We study the chiral Ising, the chiral XY and the chiral Heisenberg models at four-loop order with the perturbative renormalization group in $4-\epsilon$ dimensions and compute critical exponents for the Gross-Neveu-Yukawa fixed points to order $\mathcal{O}(\epsilon^4)$. Further, we provide Pad\'e estimates for the correlation length exponent, the boson and fermion anomalous dimension as well as the leading correction to scaling exponent in 2+1 dimensions. We also confirm the emergence of supersymmetric field theories at four loops for the chiral Ising and the chiral XY models with $N=1/4$ and $N=1/2$ fermions, respectively. Furthermore, applications of our results relevant to various quantum transitions in the context of Dirac and Weyl semimetals are discussed, including interaction-induced transitions in graphene and surface states of topological insulators.

4.878128

5.728613

5.85968

5.381911

5.786466

5.473468

5.644255

5.512896

5.207759

6.439246

5.48611

5.140529

5.506166

5.189982

5.184308

5.274

5.188093

5.074058

5.120235

5.253855

5.18639

1207.6321

Erik Panzer

Dirk Kreimer, Erik Panzer

Renormalization and Mellin transforms

24 pages

Computer Algebra in Quantum Field Theory, Texts & Monographs in Symbolic Computation, Springer Vienna, 2013, pp. 195-223

10.1007/978-3-7091-1616-6_8

null

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

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

We study renormalization in a kinetic scheme using the Hopf algebraic framework, first summarizing and recovering known results in this setting. Then we give a direct combinatorial description of renormalized amplitudes in terms of Mellin transform coefficients, featuring the universal property of rooted trees H_R. In particular, a special class of automorphisms of H_R emerges from the action of changing Mellin transforms on the Hochschild cohomology of perturbation series. Furthermore, we show how the Hopf algebra of polynomials carries a refined renormalization group property, implying its coarser form on the level of correlation functions. Application to scalar quantum field theory reveals the scaling behaviour of individual Feynman graphs.

[ { "created": "Thu, 26 Jul 2012 16:31:39 GMT", "version": "v1" } ]

2014-01-20

[ [ "Kreimer", "Dirk", "" ], [ "Panzer", "Erik", "" ] ]

We study renormalization in a kinetic scheme using the Hopf algebraic framework, first summarizing and recovering known results in this setting. Then we give a direct combinatorial description of renormalized amplitudes in terms of Mellin transform coefficients, featuring the universal property of rooted trees H_R. In particular, a special class of automorphisms of H_R emerges from the action of changing Mellin transforms on the Hochschild cohomology of perturbation series. Furthermore, we show how the Hopf algebra of polynomials carries a refined renormalization group property, implying its coarser form on the level of correlation functions. Application to scalar quantum field theory reveals the scaling behaviour of individual Feynman graphs.

16.589174

17.436218

17.147591

16.885067

17.634859

17.006447

18.667513

17.09494

17.40406

18.420029

16.726734

16.624537

16.351757

16.004721

15.508249

16.319517

15.725504

15.818331

15.836758

16.248259

15.670676

0708.0439

Changhyun Ahn

Meta-Stable Brane Configurations with Seven NS5-Branes

34pp, 9 figures; Improved the draft and added some footnotes; Figure 1, footnote 7 and captions of Figures 7,8,9 added or improved and to appear in CQG

Class.Quant.Grav.25:095018,2008

10.1088/0264-9381/25/9/095018

KIAS-P07034

hep-th

null

We present the intersecting brane configurations consisting of NS-branes, D4-branes(and anti D4-branes) and O6-plane, of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua in four dimensional N=1 supersymmetric SU(N_c) x SU(N_c') x SU(N_c'') gauge theory with a symmetric tensor field, a conjugate symmetric tensor field and bifundamental fields. We also describe the intersecting brane configurations of type IIA string theory corresponding to the nonsupersymmetric meta-stable vacua in the above gauge theory with an antisymmetric tensor field, a conjugate symmetric tensor field, eight fundamental flavors and bifundamentals. These brane configurations consist of NS-branes, D4-branes(and anti D4-branes), D6-branes and O6-planes.

[ { "created": "Fri, 3 Aug 2007 00:04:00 GMT", "version": "v1" }, { "created": "Mon, 3 Dec 2007 11:13:00 GMT", "version": "v2" }, { "created": "Fri, 21 Mar 2008 04:12:48 GMT", "version": "v3" } ]

2008-11-26

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

We present the intersecting brane configurations consisting of NS-branes, D4-branes(and anti D4-branes) and O6-plane, of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua in four dimensional N=1 supersymmetric SU(N_c) x SU(N_c') x SU(N_c'') gauge theory with a symmetric tensor field, a conjugate symmetric tensor field and bifundamental fields. We also describe the intersecting brane configurations of type IIA string theory corresponding to the nonsupersymmetric meta-stable vacua in the above gauge theory with an antisymmetric tensor field, a conjugate symmetric tensor field, eight fundamental flavors and bifundamentals. These brane configurations consist of NS-branes, D4-branes(and anti D4-branes), D6-branes and O6-planes.

4.342332

3.360646

4.483238

3.452544

3.761285

3.465474

3.415941

3.35111

3.2458

4.550745

3.402311

3.839531

4.192316

3.976674

4.069104

3.779397

3.894022

3.983582

3.911953

4.286904

4.045857

0902.2453

A. Tureanu

Masud Chaichian, Subir Ghosh, Miklos Langvik, Anca Tureanu

Dirac Quantization Condition for Monopole in Noncommutative Space-Time

11 pages

Phys.Rev.D79:125029,2009

10.1103/PhysRevD.79.125029

HIP-2009-02/TH

hep-th hep-ph

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

Since the structure of space-time at very short distances is believed to get modified possibly due to noncommutativity effects and as the Dirac Quantization Condition (DQC), $\mu e = \frac{N}{2}\hbar c$, probes the magnetic field point singularity, a natural question arises whether the same condition will still survive. We show that the DQC on a noncommutative space in a model of dynamical noncommutative quantum mechanics remains the same as in the commutative case to first order in the noncommutativity parameter $\theta$, leading to the conjecture that the condition will not alter in higher orders.

[ { "created": "Sat, 14 Feb 2009 10:55:15 GMT", "version": "v1" } ]

2009-07-09

[ [ "Chaichian", "Masud", "" ], [ "Ghosh", "Subir", "" ], [ "Langvik", "Miklos", "" ], [ "Tureanu", "Anca", "" ] ]

Since the structure of space-time at very short distances is believed to get modified possibly due to noncommutativity effects and as the Dirac Quantization Condition (DQC), $\mu e = \frac{N}{2}\hbar c$, probes the magnetic field point singularity, a natural question arises whether the same condition will still survive. We show that the DQC on a noncommutative space in a model of dynamical noncommutative quantum mechanics remains the same as in the commutative case to first order in the noncommutativity parameter $\theta$, leading to the conjecture that the condition will not alter in higher orders.

10.543964

11.404392

11.008221

10.249851

11.142075

11.027665

10.208707

10.347787

9.329389

10.335094

10.54254

9.745618

10.052547

9.712007

9.859972

9.78753

9.888046

9.934879

9.647429

10.023756

9.85634

hep-th/9605059

Tomas Ortin Miguel

E. Bergshoeff, R. Kallosh, T. Ortin

Stationary Axion/Dilaton Solutions and Supersymmetry

A few comments added and alternative formulae for the horizon area with manifest moduli-independence and duality-invariance given. 36 pages

Nucl.Phys.B478:156-180,1996

10.1016/0550-3213(96)00408-7

UG-3/96, SU-ITP-19, CERN-TH/96-106

hep-th

null

We present a new set of supersymmetric stationary solutions of pure N=4,d=4 supergravity (and, hence, of low-energy effective string theory) that generalize (and include) the Israel-Wilson-Perj\'es solutions of Einstein-Maxwell theory. All solutions have 1/4 of the supersymmetries unbroken and some have 1/2. The full solution is determined by two arbitrary complex harmonic functions {\cal H}_{1,2} which transform as a doublet under SL(2,\R) S duality and N complex constants k^{(n)} that transform as an SO(N) vector. This set of solutions is, then, manifestly duality invariant. When the harmonic functions are chosen to have only one pole, all the general resulting point-like objects have supersymmetric rotating asymptotically Taub-NUT metrics with 1/2 or 1/4 of the supersymmetries unbroken. The static, asymptotically flat metrics describe supersymmetric extreme black holes. Only those breaking 3/4 of the supersymmetries have regular horizons. The stationary asymptotically flat metrics do not describe black holes when the angular momentum does not vanish, even in the case in which 3/4 of the supersymmetries are broken.

[ { "created": "Wed, 8 May 1996 22:13:05 GMT", "version": "v1" }, { "created": "Fri, 26 Jul 1996 09:54:16 GMT", "version": "v2" } ]

2014-11-18

[ [ "Bergshoeff", "E.", "" ], [ "Kallosh", "R.", "" ], [ "Ortin", "T.", "" ] ]

We present a new set of supersymmetric stationary solutions of pure N=4,d=4 supergravity (and, hence, of low-energy effective string theory) that generalize (and include) the Israel-Wilson-Perj\'es solutions of Einstein-Maxwell theory. All solutions have 1/4 of the supersymmetries unbroken and some have 1/2. The full solution is determined by two arbitrary complex harmonic functions {\cal H}_{1,2} which transform as a doublet under SL(2,\R) S duality and N complex constants k^{(n)} that transform as an SO(N) vector. This set of solutions is, then, manifestly duality invariant. When the harmonic functions are chosen to have only one pole, all the general resulting point-like objects have supersymmetric rotating asymptotically Taub-NUT metrics with 1/2 or 1/4 of the supersymmetries unbroken. The static, asymptotically flat metrics describe supersymmetric extreme black holes. Only those breaking 3/4 of the supersymmetries have regular horizons. The stationary asymptotically flat metrics do not describe black holes when the angular momentum does not vanish, even in the case in which 3/4 of the supersymmetries are broken.

7.77578

7.707207

8.671951

7.090536

7.664564

8.15696

7.883866

7.684403

7.598874

8.615359

7.601255

7.301399

7.985906

7.676353

7.562159

7.626391

7.448408

7.683888

7.540997

8.014372

7.422475

2010.15838

Thomas Grimm

Thomas W. Grimm

Moduli Space Holography and the Finiteness of Flux Vacua

57 pages, 2 figures, v2: minor clarifications, typos corrected, references added

JHEP 10 (2021) 153

10.1007/JHEP10(2021)153

null

hep-th math.AG

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

A holographic perspective to study and characterize field spaces that arise in string compactifications is suggested. A concrete correspondence is developed by studying two-dimensional moduli spaces in supersymmetric string compactifications. It is proposed that there exist theories on the boundaries of each moduli space, whose crucial data are given by a Hilbert space, an Sl(2,C)-algebra, and two special operators. This boundary data is motivated by asymptotic Hodge theory and the fact that the physical metric on the moduli space of Calabi-Yau manifolds asymptotes near any infinite distance boundary to a Poincare metric with Sl(2,R) isometry. The crucial part of the bulk theory on the moduli space is a sigma model for group-valued matter fields. It is discussed how this might be coupled to a two-dimensional gravity theory. The classical bulk-boundary matching is then given by the proof of the famous Sl(2) orbit theorem of Hodge theory, which is reformulated in a more physical language. Applying this correspondence to the flux landscape in Calabi-Yau fourfold compactifications it is shown that there are no infinite tails of self-dual flux vacua near any co-dimension one boundary. This finiteness result is a consequence of the constraints on the near boundary expansion of the bulk solutions that match to the boundary data. It is also pointed out that there is a striking connection of the finiteness result for supersymmetric flux vacua and the Hodge conjecture.

[ { "created": "Thu, 29 Oct 2020 18:00:00 GMT", "version": "v1" }, { "created": "Wed, 24 Mar 2021 16:03:08 GMT", "version": "v2" } ]

2021-12-21

[ [ "Grimm", "Thomas W.", "" ] ]

A holographic perspective to study and characterize field spaces that arise in string compactifications is suggested. A concrete correspondence is developed by studying two-dimensional moduli spaces in supersymmetric string compactifications. It is proposed that there exist theories on the boundaries of each moduli space, whose crucial data are given by a Hilbert space, an Sl(2,C)-algebra, and two special operators. This boundary data is motivated by asymptotic Hodge theory and the fact that the physical metric on the moduli space of Calabi-Yau manifolds asymptotes near any infinite distance boundary to a Poincare metric with Sl(2,R) isometry. The crucial part of the bulk theory on the moduli space is a sigma model for group-valued matter fields. It is discussed how this might be coupled to a two-dimensional gravity theory. The classical bulk-boundary matching is then given by the proof of the famous Sl(2) orbit theorem of Hodge theory, which is reformulated in a more physical language. Applying this correspondence to the flux landscape in Calabi-Yau fourfold compactifications it is shown that there are no infinite tails of self-dual flux vacua near any co-dimension one boundary. This finiteness result is a consequence of the constraints on the near boundary expansion of the bulk solutions that match to the boundary data. It is also pointed out that there is a striking connection of the finiteness result for supersymmetric flux vacua and the Hodge conjecture.

12.410127

12.657244

13.537525

11.248376

11.862572

11.93561

12.105978

11.428893

11.17994

13.913277

11.33514

11.967024

11.910478

11.627666

11.496089

11.406669

11.55993

11.513976

11.450241

12.128011

11.680659

1303.7120

Sen Zhang

Pre-acceleration from Landau-Lifshitz Series

16 pages

null

10.1093/ptep/ptt099

OIQP-13-05

hep-th math-ph math.MP physics.class-ph physics.plasm-ph

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

The Landau-Lifshitz equation is considered as an approximation of the Abraham-Lorentz-Dirac equation. It is derived from the Abraham-Lorentz-Dirac equation by treating radiation reaction terms as a perturbation. However, while the Abraham-Lorentz-Dirac equation has pathological solutions of pre-acceleration and runaway, the Landau-Lifshitz equation and its finite higher order extensions are free of these problems. So it seems mysterious that the property of solutions of these two equations is so different. In this paper we show that the problems of pre-acceleration and runaway appear when one consider a series of all-order perturbation which we call it the Landau-Lifshitz series. We show that the Landau-Lifshitz series diverges in general. Hence a resummation is necessary to obtain a well-defined solution from the Landau-Lifshitz series. This resummation leads the pre-accelerating and the runaway solutions. The analysis is focusing on the non-relativistic case, but we can extend the results obtained here to relativistic case at least in one dimension.

[ { "created": "Thu, 28 Mar 2013 13:39:08 GMT", "version": "v1" } ]

2014-05-07

[ [ "Zhang", "Sen", "" ] ]

The Landau-Lifshitz equation is considered as an approximation of the Abraham-Lorentz-Dirac equation. It is derived from the Abraham-Lorentz-Dirac equation by treating radiation reaction terms as a perturbation. However, while the Abraham-Lorentz-Dirac equation has pathological solutions of pre-acceleration and runaway, the Landau-Lifshitz equation and its finite higher order extensions are free of these problems. So it seems mysterious that the property of solutions of these two equations is so different. In this paper we show that the problems of pre-acceleration and runaway appear when one consider a series of all-order perturbation which we call it the Landau-Lifshitz series. We show that the Landau-Lifshitz series diverges in general. Hence a resummation is necessary to obtain a well-defined solution from the Landau-Lifshitz series. This resummation leads the pre-accelerating and the runaway solutions. The analysis is focusing on the non-relativistic case, but we can extend the results obtained here to relativistic case at least in one dimension.

5.447296

5.984653

5.734529

5.607921

5.700387

6.11266

5.52748

6.096842

5.686289

5.857989

5.817919

5.550192

5.566045

5.338589

5.380095

5.440026

5.500269

5.455723

5.396396

5.56273

5.442892

hep-th/9907049

Tatsuo Suzuki

Kazuyuki Fujii and Tatsuo Suzuki

A Universal Disentangling Formula for Coherent States of Perelomov's Type

11 pages, Latex2e

null

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

null

A universal disentangling formula (such as the Baker-Campbell-Hausdorff one) for coherent states of Perelomov's type ($ |z \ra = \exp (z\Adag -\bar{z}A) |0 \ra $) which are defined for generalized oscillator algebras is given.

[ { "created": "Thu, 8 Jul 1999 06:28:40 GMT", "version": "v1" } ]

2016-09-06

[ [ "Fujii", "Kazuyuki", "" ], [ "Suzuki", "Tatsuo", "" ] ]

A universal disentangling formula (such as the Baker-Campbell-Hausdorff one) for coherent states of Perelomov's type ($ |z \ra = \exp (z\Adag -\bar{z}A) |0 \ra $) which are defined for generalized oscillator algebras is given.

11.112065

14.269137

13.295057

11.125383

12.503246

12.494489

14.174836

10.136027

13.180307

13.842218

11.690231

9.891302

11.557673

10.733949

9.894691

10.462368

9.880663

9.925301

10.264391

11.159222

10.555243

1304.6821

Vladimir Rosenhaus

Stefan Leichenauer and Vladimir Rosenhaus

AdS black holes, the bulk-boundary dictionary, and smearing functions

25 pages, published version

Phys. Rev. D 88, 026003 (2013)

10.1103/PhysRevD.88.026003

null

hep-th gr-qc

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

In Lorentzian AdS/CFT there exists a mapping between local bulk operators and nonlocal CFT operators. In global AdS this mapping can be found through use of bulk equations of motion and allows the nonlocal CFT operator to be expressed as a local operator smeared over a range of positions and times. We argue that such a construction is not possible if there are bulk normal modes with exponentially small near boundary imprint. We show that the AdS-Schwarzschild background is such a case, with the horizon introducing modes with angular momentum much larger than frequency, causing them to be trapped by the centrifugal barrier. More generally, we argue that any barrier in the radial effective potential which prevents null geodesics from reaching the boundary will lead to modes with vanishingly small near boundary imprint, thereby obstructing the existence of a smearing function. While one may have thought the bulk-boundary dictionary for low curvature regions, such as the exterior of a black hole, should be as in empty AdS, our results demonstrate otherwise.

[ { "created": "Thu, 25 Apr 2013 07:16:53 GMT", "version": "v1" }, { "created": "Wed, 14 Aug 2013 07:15:04 GMT", "version": "v2" } ]

2013-08-15

[ [ "Leichenauer", "Stefan", "" ], [ "Rosenhaus", "Vladimir", "" ] ]

In Lorentzian AdS/CFT there exists a mapping between local bulk operators and nonlocal CFT operators. In global AdS this mapping can be found through use of bulk equations of motion and allows the nonlocal CFT operator to be expressed as a local operator smeared over a range of positions and times. We argue that such a construction is not possible if there are bulk normal modes with exponentially small near boundary imprint. We show that the AdS-Schwarzschild background is such a case, with the horizon introducing modes with angular momentum much larger than frequency, causing them to be trapped by the centrifugal barrier. More generally, we argue that any barrier in the radial effective potential which prevents null geodesics from reaching the boundary will lead to modes with vanishingly small near boundary imprint, thereby obstructing the existence of a smearing function. While one may have thought the bulk-boundary dictionary for low curvature regions, such as the exterior of a black hole, should be as in empty AdS, our results demonstrate otherwise.

9.641112

10.325209

10.253575

8.949893

10.574694

9.993465

10.084556

9.817098

9.995028

11.419287

9.674747

9.214405

9.682345

9.199041

9.235244

9.202334

9.158874

9.357059

9.079633

9.513094

9.253184

hep-th/0301032

Angel M. Uranga

Chiral four-dimensional string compactifications with intersecting D-branes

30 pages, 16 figures, contribution to the proceedings of the TMR meeting `The quantum structure of spacetime', Leuven, September 2002

Class.Quant.Grav.20:S373-S394,2003

10.1088/0264-9381/20/12/303

IFT-UAM-CSIC-02-03

hep-th hep-ph

null

We review the construction of chiral four-dimensional compactifications of type IIA string theory with intersecting D6-branes. Such models lead to four-dimensional theories with non-abelian gauge interactions and charged chiral fermions. We discuss the application of these techniques to building of models with spectrum as close as possible to the Standard Model, and review their main phenomenological properties. We also emphasize the advantages/disadvantages of carrying out this idea using supersymmetric of non-supersymmetric models.

[ { "created": "Tue, 7 Jan 2003 12:01:21 GMT", "version": "v1" } ]

2009-11-10

[ [ "Uranga", "Angel M.", "" ] ]

We review the construction of chiral four-dimensional compactifications of type IIA string theory with intersecting D6-branes. Such models lead to four-dimensional theories with non-abelian gauge interactions and charged chiral fermions. We discuss the application of these techniques to building of models with spectrum as close as possible to the Standard Model, and review their main phenomenological properties. We also emphasize the advantages/disadvantages of carrying out this idea using supersymmetric of non-supersymmetric models.

8.932764

7.284

9.435941

7.53068

8.295263

8.376649

7.876436

7.368548

8.024673

10.375233

7.56005

8.052325

8.734964

7.983534

8.032491

7.976633

8.011336

8.039262

8.016063

8.578519

8.058196

0906.1177

Fabio Riccioni

Fabio Riccioni, Duncan Steele and Peter West

The E(11) origin of all maximal supergravities - the hierarchy of field-strengths

87 pages, 8 figures. Typos corrected, refs added, other minor changes. Version published on JHEP

JHEP 0909:095,2009

10.1088/1126-6708/2009/09/095

KCL-MTH-09-05

hep-th

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

Starting from $E_{11}$ and the space-time translations we construct an algebra that promotes the global $E_{11}$ symmetries to local ones, and consider all its possible massive deformations. The Jacobi identities imply that such deformations are uniquely determined by a single tensor that belongs to the same representation of the internal symmetry group as the $D-1$ forms specified by $E_{11}$. The non-linear realisation of the deformed algebra gives the field strengths of the theory which are those of any possible gauged maximal supergravity theory in any dimension. All the possible deformed algebras are in one to one correspondence with all the possible massive maximal supergravity theories. The hierarchy of fields inherent in the $E_{11}$ formulation plays an important role in the derivation. The tensor that determines the deformation can be identified with the embedding tensor used previously to parameterise gauged supergravities. Thus we provide a very efficient, simple and unified derivation of the bosonic sector, and in the absence of gravity, of all maximal gauged supergravities from $E_{11}$.

[ { "created": "Fri, 5 Jun 2009 18:29:23 GMT", "version": "v1" }, { "created": "Thu, 1 Oct 2009 13:12:02 GMT", "version": "v2" } ]

2009-10-02

[ [ "Riccioni", "Fabio", "" ], [ "Steele", "Duncan", "" ], [ "West", "Peter", "" ] ]

Starting from $E_{11}$ and the space-time translations we construct an algebra that promotes the global $E_{11}$ symmetries to local ones, and consider all its possible massive deformations. The Jacobi identities imply that such deformations are uniquely determined by a single tensor that belongs to the same representation of the internal symmetry group as the $D-1$ forms specified by $E_{11}$. The non-linear realisation of the deformed algebra gives the field strengths of the theory which are those of any possible gauged maximal supergravity theory in any dimension. All the possible deformed algebras are in one to one correspondence with all the possible massive maximal supergravity theories. The hierarchy of fields inherent in the $E_{11}$ formulation plays an important role in the derivation. The tensor that determines the deformation can be identified with the embedding tensor used previously to parameterise gauged supergravities. Thus we provide a very efficient, simple and unified derivation of the bosonic sector, and in the absence of gravity, of all maximal gauged supergravities from $E_{11}$.

8.522795

7.447425

8.828389

7.470078

7.956868

8.070469

7.747334

7.467947

7.774629

9.240323

7.794876

7.584812

8.240655

7.657869

7.730656

7.891798

7.792865

7.507547

7.683269

8.007102

7.727464

hep-th/0604082

Suguru Dobashi

Impurity Non-Preserving 3-Point Correlators of BMN Operators from PP-Wave Holography II : Fermionic Excitations

44 pages, 6 figures

Nucl.Phys.B756:171-206,2006

10.1016/j.nuclphysb.2006.08.004

EPHOU-06-02

hep-th

null

The holographic principle in the pp-wave limit proposed in our previous works is further confirmed by studying impurity non-preserving processes which contain a fermionic BMN operator with one scalar and one fermion impurities. We show that the previously proposed duality relation between the matrix elements of the three point interaction Hamiltonian in the holographic string field theory and the OPE coefficients in super Yang-Mills theory holds to the leading order in the large $\mu$ limit. Operator mixing is required to obtain the BMN operator of definite conformal dimension which corresponds to the string state with one scalar and one fermion excitations. The mixing term plays a crucial role for our duality relation to be valid. Our results, combined with those in the previous papers, provide a positive support that our duality relation holds for the general process regardless of the kind of impurities and of whether impurities conserve or not.

[ { "created": "Tue, 11 Apr 2006 11:16:33 GMT", "version": "v1" } ]

2008-11-26

[ [ "Dobashi", "Suguru", "" ] ]

The holographic principle in the pp-wave limit proposed in our previous works is further confirmed by studying impurity non-preserving processes which contain a fermionic BMN operator with one scalar and one fermion impurities. We show that the previously proposed duality relation between the matrix elements of the three point interaction Hamiltonian in the holographic string field theory and the OPE coefficients in super Yang-Mills theory holds to the leading order in the large $\mu$ limit. Operator mixing is required to obtain the BMN operator of definite conformal dimension which corresponds to the string state with one scalar and one fermion excitations. The mixing term plays a crucial role for our duality relation to be valid. Our results, combined with those in the previous papers, provide a positive support that our duality relation holds for the general process regardless of the kind of impurities and of whether impurities conserve or not.

11.532612

9.836237

11.87831

9.806437

10.155874

10.097499

10.015156

10.7814

10.245597

12.070592

9.877689

10.802282

11.507258

10.852173

10.967447

10.949561

10.617639

11.055053

10.806633

11.389182

10.990597

1709.07014

Nemanja Kaloper

Guido D'Amico, Nemanja Kaloper, Albion Lawrence

Monodromy inflation at strong coupling: $4\pi$ in the sky

11 pages LaTeX, 2 figures v2: a couple of small typos fixed

Phys. Rev. Lett. 121, 091301 (2018)

10.1103/PhysRevLett.121.091301

Brandeis preprint BRX-TH 6323, CERN preprint CERN-TH-2017-181

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

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

We present a simple effective field theory formulation of a general family of single field flux monodromy models for which strong coupling effects at large field values can flatten the potential and activate operators with higher powers of derivatives. These models are radiatively and non-perturbatively stable and can easily sustain $\ga 60$ efolds of inflation. The dynamics combines features of both large field chaotic inflation and $k$-inflation, both of which can suppress the tensor amplitude. Reducing the tensor-scalar ratio below the observational bound $r \lesssim 0.1$ while keeping the scalar spectral index $n_s$ within experimental bounds either yields equilateral nongaussianity $f_{NL}^{eq} \simeq {\cal O}(1)$, close to the current observational bounds, or ultimately gives very small $r$.

[ { "created": "Wed, 20 Sep 2017 18:00:35 GMT", "version": "v1" }, { "created": "Fri, 22 Sep 2017 15:39:50 GMT", "version": "v2" } ]

2018-09-12

[ [ "D'Amico", "Guido", "" ], [ "Kaloper", "Nemanja", "" ], [ "Lawrence", "Albion", "" ] ]

We present a simple effective field theory formulation of a general family of single field flux monodromy models for which strong coupling effects at large field values can flatten the potential and activate operators with higher powers of derivatives. These models are radiatively and non-perturbatively stable and can easily sustain $\ga 60$ efolds of inflation. The dynamics combines features of both large field chaotic inflation and $k$-inflation, both of which can suppress the tensor amplitude. Reducing the tensor-scalar ratio below the observational bound $r \lesssim 0.1$ while keeping the scalar spectral index $n_s$ within experimental bounds either yields equilateral nongaussianity $f_{NL}^{eq} \simeq {\cal O}(1)$, close to the current observational bounds, or ultimately gives very small $r$.

11.339985

10.818277

12.170897

10.274114

11.906616

12.025413

11.73031

10.397017

10.288395

11.946433

10.366188

10.497285

11.026347

10.639929

10.644901

10.764582

10.533718

10.814899

10.731179

11.011775

10.909448

0808.3691

Niclas Wyllard

Mirela Babalic, and Niclas Wyllard

Towards relating the kappa-symmetric and pure-spinor versions of the supermembrane

15 Pages

JHEP0810:059,2008

10.1088/1126-6708/2008/10/059

null

hep-th

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

We study the relation between the kappa-symmetric formulation of the supermembrane in eleven dimensions and the pure-spinor version. Recently, Berkovits related the Green-Schwarz and pure-spinor superstrings. In this paper, we attempt to extend this method to the supermembrane. We show that it is possible to reinstate the reparameterisation constraints in the pure-spinor formulation of the supermembrane by introducing a topological sector and performing a similarity transformation. The resulting BRST charge is then of conventional type and is argued to be (related to) the BRST charge of the kappa-symmetric supermembrane in a formulation where all second class constraints are 'gauge unfixed' to first class constraints. In our analysis we also encounter a natural candidate for a (non-covariant) supermembrane analogue of the superstring b ghost.

[ { "created": "Wed, 27 Aug 2008 12:54:09 GMT", "version": "v1" } ]

2008-11-26

[ [ "Babalic", "Mirela", "" ], [ "Wyllard", "Niclas", "" ] ]

We study the relation between the kappa-symmetric formulation of the supermembrane in eleven dimensions and the pure-spinor version. Recently, Berkovits related the Green-Schwarz and pure-spinor superstrings. In this paper, we attempt to extend this method to the supermembrane. We show that it is possible to reinstate the reparameterisation constraints in the pure-spinor formulation of the supermembrane by introducing a topological sector and performing a similarity transformation. The resulting BRST charge is then of conventional type and is argued to be (related to) the BRST charge of the kappa-symmetric supermembrane in a formulation where all second class constraints are 'gauge unfixed' to first class constraints. In our analysis we also encounter a natural candidate for a (non-covariant) supermembrane analogue of the superstring b ghost.

7.750425

7.693942

8.313724

7.174525

7.303112

7.805683

7.430104

7.070465

7.548618

9.312535

7.1566

7.342727

7.50285

7.128001

7.44468

7.279397

7.282948

7.451796

7.212488

7.724173

7.248416

1402.5674

Leonard Susskind

Computational Complexity and Black Hole Horizons

44 pages, 18 figures

null

hep-th gr-qc quant-ph

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

Computational complexity is essential to understanding the properties of black hole horizons. The problem of Alice creating a firewall behind the horizon of Bob's black hole is a problem of computational complexity. In general we find that while creating firewalls is possible, it is extremely difficult and probably impossible for black holes that form in sudden collapse, and then evaporate. On the other hand if the radiation is bottled up then after an exponentially long period of time firewalls may be common. It is possible that gravity will provide tools to study problems of complexity; especially the range of complexity between scrambling and exponential complexity.

[ { "created": "Sun, 23 Feb 2014 21:01:02 GMT", "version": "v1" }, { "created": "Tue, 25 Feb 2014 01:29:56 GMT", "version": "v2" } ]

2014-02-26

[ [ "Susskind", "Leonard", "" ] ]

Computational complexity is essential to understanding the properties of black hole horizons. The problem of Alice creating a firewall behind the horizon of Bob's black hole is a problem of computational complexity. In general we find that while creating firewalls is possible, it is extremely difficult and probably impossible for black holes that form in sudden collapse, and then evaporate. On the other hand if the radiation is bottled up then after an exponentially long period of time firewalls may be common. It is possible that gravity will provide tools to study problems of complexity; especially the range of complexity between scrambling and exponential complexity.

17.547136

18.80176

16.686754

16.890202

18.817339

17.848957

17.894585

19.797792

17.234798

20.183416

16.20484

16.64451

16.487999

17.031746

16.897112

17.681396

17.287529

16.964621

17.774366

16.221548

16.134481

hep-th/9701163

Sergio Ferrara

Bertotti-Robinson Geometry and Supersymmetry

13 pages, figures, uses procsla,epsf,epsfig; Talk given at the 12th Italian Conference on General Relativity and Gravitational Physics, Rome, September 1996

null

CERN-TH/97-10

hep-th

null

The role of Bertotti-Robinson geometry in the attractor mechanism of extremal black holes is described for the case of N = 2 supersymmetry. Its implication for a model-independent derivation of the Bekenstein-Hawking entropy formula is discussed.

[ { "created": "Tue, 28 Jan 1997 16:40:44 GMT", "version": "v1" } ]

2007-05-23

[ [ "Ferrara", "Sergio", "" ] ]

The role of Bertotti-Robinson geometry in the attractor mechanism of extremal black holes is described for the case of N = 2 supersymmetry. Its implication for a model-independent derivation of the Bekenstein-Hawking entropy formula is discussed.

8.805738

6.716015

7.364167

6.744504

6.54639

6.583862

6.127728

6.238834

6.753193

8.198648

7.090157

6.204502

6.847596

6.390301

6.245968

6.271868

6.151822

6.286191

6.452208

6.789905

7.028282

1801.03098

Daniel Brattan K

Daniel K. Brattan

$\mathcal{N}=2$ supersymmetry and anisotropic scale invariance

7 pages, 2 figures + 3 pages supplementary material; v2: minor typos corrected and refs added

Phys. Rev. D 98, 036005 (2018)

10.1103/PhysRevD.98.036005

USTC-ICTS-18-03

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

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

We find a class of scale-anomaly-free $\mathcal{N}=2$ supersymmetric quantum systems with non-vanishing potential terms where space and time scale with distinct exponents. Our results generalise the known case of the supersymmetric inverse square potential to a larger class of scaling symmetries.

[ { "created": "Tue, 9 Jan 2018 19:00:07 GMT", "version": "v1" }, { "created": "Mon, 21 May 2018 12:50:19 GMT", "version": "v2" } ]

2018-08-15

[ [ "Brattan", "Daniel K.", "" ] ]

We find a class of scale-anomaly-free $\mathcal{N}=2$ supersymmetric quantum systems with non-vanishing potential terms where space and time scale with distinct exponents. Our results generalise the known case of the supersymmetric inverse square potential to a larger class of scaling symmetries.

14.112236

10.634133

12.784156

10.426134

10.367993

9.463438

10.683806

11.085165

10.576709

14.648897

10.254952

11.643295

11.919312

11.595649

11.173141

11.598697

10.801826

11.082709

11.705474

11.69063

10.886712

2307.02523

Atsushi Ueda

Atsushi Ueda, Masahito Yamazaki

Fixed-point tensor is a four-point function

null

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

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

Through coarse-graining, tensor network representations of a two-dimensional critical lattice model flow to a universal four-leg tensor, corresponding to a conformal field theory (CFT) fixed-point. We computed explicit elements of the critical fixed-point tensor, which we identify as the CFT four-point function. This allows us to directly extract the operator product expansion coefficients of the CFT from these tensor elements. Combined with the scaling dimensions obtained from the transfer matrix, we determine the complete set of the CFT data from the fixed-point tensor for any critical unitary lattice model.

[ { "created": "Wed, 5 Jul 2023 18:00:00 GMT", "version": "v1" }, { "created": "Fri, 4 Aug 2023 05:32:30 GMT", "version": "v2" } ]

2023-08-07

[ [ "Ueda", "Atsushi", "" ], [ "Yamazaki", "Masahito", "" ] ]

Through coarse-graining, tensor network representations of a two-dimensional critical lattice model flow to a universal four-leg tensor, corresponding to a conformal field theory (CFT) fixed-point. We computed explicit elements of the critical fixed-point tensor, which we identify as the CFT four-point function. This allows us to directly extract the operator product expansion coefficients of the CFT from these tensor elements. Combined with the scaling dimensions obtained from the transfer matrix, we determine the complete set of the CFT data from the fixed-point tensor for any critical unitary lattice model.

9.98595

12.802179

11.953397

10.010396

11.408174

11.601241

12.327858

10.433539

11.246507

13.535969

10.311706

10.076459

9.63248

9.987491

9.664013

9.895121

9.93011

10.136106

10.099438

10.478362

9.162732

hep-th/9402026

Kazuhiro Hikami

Kazuhiro Hikami and Miki Wadati

On the Additional Symmetry; Many-Body Problem Related to the KP Hierarchy

8 pages

null

hep-th

null

Nonlinear integrable equations, such as the KdV equation, the Boussinesq equation and the KP equation, have the close relation with many-body problem. The solutions of such equations are the same as the restricted flows of the classical Calogero model, which is one-dimensional particle system with inverse square interactions. The KP hierarchy and the Calogero model share the same structure called ``additional symmetry''. This symmetry plays a crucial role in this relation.

[ { "created": "Fri, 4 Feb 1994 11:47:14 GMT", "version": "v1" } ]

2016-09-06

[ [ "Hikami", "Kazuhiro", "" ], [ "Wadati", "Miki", "" ] ]

Nonlinear integrable equations, such as the KdV equation, the Boussinesq equation and the KP equation, have the close relation with many-body problem. The solutions of such equations are the same as the restricted flows of the classical Calogero model, which is one-dimensional particle system with inverse square interactions. The KP hierarchy and the Calogero model share the same structure called ``additional symmetry''. This symmetry plays a crucial role in this relation.

9.034881

8.398635

11.358582

8.853388

8.579323

8.992868

9.146437

9.069284

9.116944

11.196338

8.88189

8.382473

9.401574

8.335955

8.522663

8.213163

8.518147

8.449761

8.472001

9.433253

8.092966

hep-th/0306181

Subir Ghosh

Subir Ghosh (Indian Statistical Institute)

The Seiberg-Witten Map in Noncommutative Field Theory: An Alternative Interpretation

To appear in the special issue of the journal "Relativity, Gravitation, Cosmology"

Rel.Grav.Cosmol. 1 (2004) 97-108

null

hep-th

null

In this article, an alternative interpretation of the Seiberg-Witten map in non-commutative field theory is provided. We show that the Seiberg-Witten map can be induced in a geometric way, by a field dependent co-ordinate transformation that connects noncommutative and ordinary space-times. Furthermore, in continuation of our earlier works, it has been demonstrated here that the above (field dependent co-ordinate) transformations are present in a gauge fixed version of the relativistic spinning particle model, embedded in the Batalin-Tyutin extended space. We emphasize that the space-time non-commutativity emerges naturally from the particle {\it {spin}} degrees of freedom. Contrary to similarly motivated works, the non-commutativity is not imposed here in an {\it{ad-hoc}} manner.

[ { "created": "Thu, 19 Jun 2003 07:21:10 GMT", "version": "v1" } ]

2007-05-23

[ [ "Ghosh", "Subir", "", "Indian Statistical Institute" ] ]

In this article, an alternative interpretation of the Seiberg-Witten map in non-commutative field theory is provided. We show that the Seiberg-Witten map can be induced in a geometric way, by a field dependent co-ordinate transformation that connects noncommutative and ordinary space-times. Furthermore, in continuation of our earlier works, it has been demonstrated here that the above (field dependent co-ordinate) transformations are present in a gauge fixed version of the relativistic spinning particle model, embedded in the Batalin-Tyutin extended space. We emphasize that the space-time non-commutativity emerges naturally from the particle {\it {spin}} degrees of freedom. Contrary to similarly motivated works, the non-commutativity is not imposed here in an {\it{ad-hoc}} manner.

9.700934

7.873993

9.272967

8.210982

9.150973

8.139362

8.523609

8.194945

8.162514

10.516006

7.842874

8.543727

8.824627

8.654179

8.611417

8.811692

8.395406

8.772663

8.884174

9.096953

8.741087

1010.4518

Mairi Sakellariadou

Cosmological consequences of the noncommutative spectral geometry as an approach to unification

8 pages, Invited talk at the 14th Conference on recent Developments in gravity (NEB 14), Ioannina, Greece, 8-11 June 2010

J.Phys.Conf.Ser.283:012031,2011

10.1088/1742-6596/283/1/012031

null

hep-th hep-ph

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

Noncommutative spectral geometry succeeds in explaining the physics of the Standard Model of electroweak and strong interactions in all its details as determined by experimental data. Moreover, by construction the theory lives at very high energy scales, offering a natural framework to address early universe cosmological issues. After introducing the main elements of noncommutative spectral geometry, I will summarise some of its cosmological consequences and discuss constraints on the gravitational sector of the theory.

[ { "created": "Thu, 21 Oct 2010 16:37:40 GMT", "version": "v1" } ]

2011-03-21

[ [ "Sakellariadou", "Mairi", "" ] ]

Noncommutative spectral geometry succeeds in explaining the physics of the Standard Model of electroweak and strong interactions in all its details as determined by experimental data. Moreover, by construction the theory lives at very high energy scales, offering a natural framework to address early universe cosmological issues. After introducing the main elements of noncommutative spectral geometry, I will summarise some of its cosmological consequences and discuss constraints on the gravitational sector of the theory.

9.646518

8.021969

8.800497

8.521116

8.985275

8.421801

9.343526

7.822187

8.918799

9.002011

8.92016

9.453357

9.61397

8.944319

9.436932

8.649974

9.325676

8.776449

9.676103

9.066283

9.246678

0705.1233

Peter Hess O

Peter O. Hess and Walter Greiner

Pseudo-Complex Field Theory

21 pages, 1 figure

Int.J.Mod.Phys.E16:1643-1679,2007

10.1142/S0218301307006964

null

hep-th

null

A new formulation of field theory is presented, based on a pseudo-complex description. An extended group structure is introduced, implying a minimal scalar length, rendering the theory regularized a la Pauli-Villars. Cross sections are calculated for the scattering of an electron at an external Coulomb field and the Compton scattering. Deviations due to a smallest scalar length are determined. The theory also permits a modification of the minimal coupling scheme, resulting in a generalized dispersion relation. A shift of the Greisen-Zatsepin-Kuzmin-limit (GZK) of the cosmic ray spectrum is the consequence.

[ { "created": "Wed, 9 May 2007 09:00:43 GMT", "version": "v1" } ]

2008-11-26

[ [ "Hess", "Peter O.", "" ], [ "Greiner", "Walter", "" ] ]

A new formulation of field theory is presented, based on a pseudo-complex description. An extended group structure is introduced, implying a minimal scalar length, rendering the theory regularized a la Pauli-Villars. Cross sections are calculated for the scattering of an electron at an external Coulomb field and the Compton scattering. Deviations due to a smallest scalar length are determined. The theory also permits a modification of the minimal coupling scheme, resulting in a generalized dispersion relation. A shift of the Greisen-Zatsepin-Kuzmin-limit (GZK) of the cosmic ray spectrum is the consequence.

13.056924

12.755198

12.91126

11.412694

13.378065

12.928124

12.825615

12.392459

13.001096

12.835352

12.839109

11.906312

11.903735

11.623879

11.392272

11.672449

11.633395

11.346335

12.331983

12.210276

11.875207

2208.04334

Vasily Maslov

D. G. Levkov, V. E. Maslov, E. Ya. Nugaev, A. G. Panin

An Effective Field Theory for Large Oscillons

43 pages, 9 figures, ancillary video of an oscillon formation; Sec. 5 and Appendix extended, references added; journal version

JHEP 12 (2022) 079

10.1007/JHEP12(2022)079

INR-TH-2022-017

hep-th astro-ph.CO hep-ph

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

We consider oscillons - localized, quasiperiodic, and extremely long-living classical solutions in models with real scalar fields. We develop their effective description in the limit of large size at finite field strength. Namely, we note that nonlinear long-range field configurations can be described by an effective complex field $\psi(t, \boldsymbol{x})$ which is related to the original fields by a canonical transformation. The action for $\psi$ has the form of a systematic gradient expansion. At every order of the expansion, such an effective theory has a global U(1) symmetry and hence a family of stationary nontopological solitons - oscillons. The decay of the latter objects is a nonperturbative process from the viewpoint of the effective theory. Our approach gives an intuitive understanding of oscillons in full nonlinearity and explains their longevity. Importantly, it also provides reliable selection criteria for models with long-lived oscillons. This technique is more precise in the nonrelativistic limit, in the notable cases of nonlinear, extremely long-lived, and large objects, and also in lower spatial dimensions. We test the effective theory by performing explicit numerical simulations of a $(d+1)$-dimensional scalar field with a plateau potential.

[ { "created": "Mon, 8 Aug 2022 18:00:03 GMT", "version": "v1" }, { "created": "Tue, 29 Nov 2022 19:00:14 GMT", "version": "v2" } ]

2022-12-19

[ [ "Levkov", "D. G.", "" ], [ "Maslov", "V. E.", "" ], [ "Nugaev", "E. Ya.", "" ], [ "Panin", "A. G.", "" ] ]

We consider oscillons - localized, quasiperiodic, and extremely long-living classical solutions in models with real scalar fields. We develop their effective description in the limit of large size at finite field strength. Namely, we note that nonlinear long-range field configurations can be described by an effective complex field $\psi(t, \boldsymbol{x})$ which is related to the original fields by a canonical transformation. The action for $\psi$ has the form of a systematic gradient expansion. At every order of the expansion, such an effective theory has a global U(1) symmetry and hence a family of stationary nontopological solitons - oscillons. The decay of the latter objects is a nonperturbative process from the viewpoint of the effective theory. Our approach gives an intuitive understanding of oscillons in full nonlinearity and explains their longevity. Importantly, it also provides reliable selection criteria for models with long-lived oscillons. This technique is more precise in the nonrelativistic limit, in the notable cases of nonlinear, extremely long-lived, and large objects, and also in lower spatial dimensions. We test the effective theory by performing explicit numerical simulations of a $(d+1)$-dimensional scalar field with a plateau potential.

10.289037

11.817541

10.4505

10.260582

11.204687

11.081775

10.80305

10.14809

9.837203

11.649499

10.127261

10.322511

10.078436

10.115171

9.94995

10.286092

9.914851

10.273034

10.110717

10.280676

9.90336

1611.10290

Seiji Terashima

Takahiro Nishinaka and Seiji Terashima

A Note on Sachdev-Ye-Kitaev Like Model without Random Coupling

19 pages, 8 figures, references added

null

YITP-16-129

hep-th

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

We study a description of the large N limit of the Sachdev-Ye-Kitaev (SYK) model in terms of quantum mechanics without quenched disorder. Instead of random couplings, we introduce massive scalar fields coupled to fermions, and study a small mass limit of the theory. We show that, under a certain condition, the correlation functions of fermions reproduce those of the SYK model with a temperature dependent coupling constant in the large N limit. We also discuss a supersymmetric generalization of our quantum mechanical model. As a byproduct, we develop an efficient way of estimating the large N behavior of correlators in the SYK model.

[ { "created": "Wed, 30 Nov 2016 17:52:14 GMT", "version": "v1" }, { "created": "Mon, 27 Nov 2017 09:12:41 GMT", "version": "v2" } ]

2017-11-28

[ [ "Nishinaka", "Takahiro", "" ], [ "Terashima", "Seiji", "" ] ]

We study a description of the large N limit of the Sachdev-Ye-Kitaev (SYK) model in terms of quantum mechanics without quenched disorder. Instead of random couplings, we introduce massive scalar fields coupled to fermions, and study a small mass limit of the theory. We show that, under a certain condition, the correlation functions of fermions reproduce those of the SYK model with a temperature dependent coupling constant in the large N limit. We also discuss a supersymmetric generalization of our quantum mechanical model. As a byproduct, we develop an efficient way of estimating the large N behavior of correlators in the SYK model.

5.58777

4.972653

6.151255

5.328371

5.100755

5.287951

5.066585

4.857635

5.112829

6.076184

5.274787

5.225568

5.748486

5.316951

5.255701

5.228495

5.175283

5.254071

5.247516

5.966405

5.270127

1807.10028

Gaurav Narain

Gaurav Narain and Tianjun Li

Non-locality and late-time cosmic acceleration from an ultraviolet complete theory

1+9 pages. This manuscript belongs to an extension of the International Conference on Quantum Gravity 2018, Shenzhen, China

Universe 2018, 4(8), 82

10.3390/universe4080082

null

hep-th gr-qc

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

A local phenomenological model that reduces to a non-local gravitational theory giving dark energy is proposed. The non-local gravity action is known to fit the data as well as $\Lambda$-CDM thereby demanding a more fundamental local treatment. It is seen that the scale-invariant higher-derivative scalar-tensor theory of gravity, which is known to be ultraviolet perturbative renormalizable to all loops and where ghosts become innocuous, generates non-locality at low energies. The local action comprises of two real scalar fields coupled non-minimally with the higher-derivative gravity action. When one of the scalar acquiring the Vacuum Expectation Value (VEV) induces Einstein--Hilbert gravity, generates mass for fields, and gets decoupled from system, it leaves behind a residual theory which in turn leads to a non-local gravity generating dark energy effects.

[ { "created": "Thu, 26 Jul 2018 09:25:16 GMT", "version": "v1" } ]

2018-07-27

[ [ "Narain", "Gaurav", "" ], [ "Li", "Tianjun", "" ] ]

A local phenomenological model that reduces to a non-local gravitational theory giving dark energy is proposed. The non-local gravity action is known to fit the data as well as $\Lambda$-CDM thereby demanding a more fundamental local treatment. It is seen that the scale-invariant higher-derivative scalar-tensor theory of gravity, which is known to be ultraviolet perturbative renormalizable to all loops and where ghosts become innocuous, generates non-locality at low energies. The local action comprises of two real scalar fields coupled non-minimally with the higher-derivative gravity action. When one of the scalar acquiring the Vacuum Expectation Value (VEV) induces Einstein--Hilbert gravity, generates mass for fields, and gets decoupled from system, it leaves behind a residual theory which in turn leads to a non-local gravity generating dark energy effects.

11.960244

12.312081

12.812638

11.433576

12.373528

12.303228

12.193257

11.204792

11.265106

13.574794

11.476741

11.442659

11.961074

11.499356

11.494163

11.454371

11.46174

11.485919

11.453451

11.747772

11.062652

2210.06762

Jun Nian

Jun Nian, Xiaoquan Yu, Jinwu Ye

A Non-Unitary Conformal Field Theory Approach to Two-Dimensional Turbulence

19+19 pages, 3 figures

null

hep-th cond-mat.stat-mech nlin.CD physics.flu-dyn

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

Fluid turbulence is a far-from-equilibrium phenomenon and remains one of the most challenging problems in physics. Two-dimensional, fully developed turbulence may possess the largest possible symmetry, the conformal symmetry. We focus on the steady-state solution of two-dimensional bounded turbulent flow and propose a $c=0$ boundary logarithmic conformal field theory for the inverse energy cascade and another bulk conformal field theory in the classical limit $c\rightarrow -\infty$ for the direct enstrophy cascade. We show that these theories give rise to the Kraichnan-Batchelor scaling $k^{-3}$ and the Kolmogorov-Kraichnan scaling $k^{-5/3}$ for the enstrophy and the energy cascades, respectively, with the expected cascade directions, fluxes, and fractal dimensions. We also made some new predictions for future numerical simulations and experiments to test.

[ { "created": "Thu, 13 Oct 2022 06:07:43 GMT", "version": "v1" } ]

2022-10-14

[ [ "Nian", "Jun", "" ], [ "Yu", "Xiaoquan", "" ], [ "Ye", "Jinwu", "" ] ]

Fluid turbulence is a far-from-equilibrium phenomenon and remains one of the most challenging problems in physics. Two-dimensional, fully developed turbulence may possess the largest possible symmetry, the conformal symmetry. We focus on the steady-state solution of two-dimensional bounded turbulent flow and propose a $c=0$ boundary logarithmic conformal field theory for the inverse energy cascade and another bulk conformal field theory in the classical limit $c\rightarrow -\infty$ for the direct enstrophy cascade. We show that these theories give rise to the Kraichnan-Batchelor scaling $k^{-3}$ and the Kolmogorov-Kraichnan scaling $k^{-5/3}$ for the enstrophy and the energy cascades, respectively, with the expected cascade directions, fluxes, and fractal dimensions. We also made some new predictions for future numerical simulations and experiments to test.

7.9489

8.965986

8.933343

7.673749

7.978081

8.452511

8.569606

8.698277

7.989566

9.373913

7.186038

7.784334

8.208424

7.726233

7.74149

7.898304

7.429446

7.809169

7.722451

8.217149

7.492542

hep-th/9904093

Jose M. Carmona

J.M. Carmona, J. Polonyi and A. Tarancon

Wegner-Houghton equation in low dimensions

44 pages, 9 figures; some sections revised, refs. added; final version to appear in Phys. Rev. D

Phys.Rev. D61 (2000) 085018

10.1103/PhysRevD.61.085018

IFUP-TH-18/99

hep-th

null

We consider scalar field theories in dimensions lower than four in the context of the Wegner-Houghton renormalization group equations (WHRG). The renormalized trajectory makes a non-perturbative interpolation between the ultraviolet and the infrared scaling regimes. Strong indication is found that in two dimensions and below the models with polynomial interaction are always non-perturbative in the infrared scaling regime. Finally we check that these results do not depend on the regularization and we develop a lattice version of the WHRG in two dimensions.

[ { "created": "Tue, 13 Apr 1999 16:51:06 GMT", "version": "v1" }, { "created": "Tue, 18 Jan 2000 11:51:07 GMT", "version": "v2" } ]

2009-10-31

[ [ "Carmona", "J. M.", "" ], [ "Polonyi", "J.", "" ], [ "Tarancon", "A.", "" ] ]

We consider scalar field theories in dimensions lower than four in the context of the Wegner-Houghton renormalization group equations (WHRG). The renormalized trajectory makes a non-perturbative interpolation between the ultraviolet and the infrared scaling regimes. Strong indication is found that in two dimensions and below the models with polynomial interaction are always non-perturbative in the infrared scaling regime. Finally we check that these results do not depend on the regularization and we develop a lattice version of the WHRG in two dimensions.

9.727388

9.024496

10.675576

9.389061

9.813466

8.978375

9.529517

8.406079

8.831871

10.850271

9.105037

9.333596

10.22921

9.557647

9.279192

9.397818

9.440052

9.706614

9.104889

10.272797

9.357285

hep-th/0009192

Silvia

S.J. Gates, Jr., M.T. Grisaru, M.E. Knutt, S. Penati, H. Suzuki

Supersymmetric Gauge Anomaly with General Homotopic Paths

36 pages, plain Latex, no figures

Nucl.Phys. B596 (2001) 315-347

10.1016/S0550-3213(00)00676-3

Bicocca-FT-00-13, BRX TH-479, IU-MSTP/41, McGill 00-28, UMDEPP 01-098

hep-th

null

We use the method of Banerjee, Banerjee and Mitra and minimal homotopy paths to compute the consistent gauge anomaly for several superspace models of SSYM coupled to matter. We review the derivation of the anomaly for N=1 in four dimensions and then discuss the anomaly for two-dimensional models with (2,0) supersymmetry.

[ { "created": "Mon, 25 Sep 2000 15:22:41 GMT", "version": "v1" } ]

2012-08-27

[ [ "Gates,", "S. J.", "Jr." ], [ "Grisaru", "M. T.", "" ], [ "Knutt", "M. E.", "" ], [ "Penati", "S.", "" ], [ "Suzuki", "H.", "" ] ]

We use the method of Banerjee, Banerjee and Mitra and minimal homotopy paths to compute the consistent gauge anomaly for several superspace models of SSYM coupled to matter. We review the derivation of the anomaly for N=1 in four dimensions and then discuss the anomaly for two-dimensional models with (2,0) supersymmetry.

17.107298

14.532182

19.553017

14.208922

14.24106

16.523457

16.65336

14.67239

14.568316

19.176308

13.98838

14.040052

16.294233

14.057124

14.298664

14.79585

14.166024

14.412909

15.213874

16.462605

13.950874

hep-th/9504097

Jan De Boer

Jan de Boer, Bas Peeters, Kostas Skenderis and Peter van Nieuwenhuizen

Loop calculations in quantum-mechanical non-linear sigma models

17 pages, LaTeX, and one figure

Nucl.Phys. B446 (1995) 211-222

10.1016/0550-3213(95)00241-J

ITP-SB-95-12

hep-th

null

By carefully analyzing the relations between operator methods and the discretized and continuum path integral formulations of quantum-mechanical systems, we have found the correct Feynman rules for one-dimensional path integrals in curved spacetime. Although the prescription how to deal with the products of distributions that appear in the computation of Feynman diagrams in configuration space is surprising, this prescription follows unambiguously from the discretized path integral. We check our results by an explicit two-loop calculation.

[ { "created": "Wed, 19 Apr 1995 17:30:23 GMT", "version": "v1" } ]

2009-10-28

[ [ "de Boer", "Jan", "" ], [ "Peeters", "Bas", "" ], [ "Skenderis", "Kostas", "" ], [ "van Nieuwenhuizen", "Peter", "" ] ]

By carefully analyzing the relations between operator methods and the discretized and continuum path integral formulations of quantum-mechanical systems, we have found the correct Feynman rules for one-dimensional path integrals in curved spacetime. Although the prescription how to deal with the products of distributions that appear in the computation of Feynman diagrams in configuration space is surprising, this prescription follows unambiguously from the discretized path integral. We check our results by an explicit two-loop calculation.

13.904754

11.101833

11.374455

11.436378

11.781695

11.522929

11.964627

10.999715

11.477244

12.535537

11.551274

11.460671

11.428762

11.044684

11.327518

11.024455

10.986031

11.476747

11.376809

11.788137

11.291865

0910.5202

Brett D. Altschul

Alejandro Ferrero and Brett Altschul

Radiatively Induced Lorentz and Gauge Symmetry Violation in Electrodynamics with Varying alpha

14 pages

Phys.Rev.D80:125010,2009

10.1103/PhysRevD.80.125010

null

hep-th

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

A time-varying fine structure constant alpha(t) could give rise to Lorentz- and CPT-violating changes to the vacuum polarization, which would affect photon propagation. Such changes to the effective action can violate gauge invariance, but they are otherwise permitted. However, in the minimal theory of varying alpha, no such terms are generated at lowest order. At second order, vacuum polarization can generate an instability--a Lorentz-violating analogue of a negative photon mass squared -m^2 proportional to alpha [(d alpha/dt) / alpha]^2 log (Lambda^2), where Lambda is the cutoff for the low-energy effective theory.

[ { "created": "Tue, 27 Oct 2009 18:40:15 GMT", "version": "v1" } ]

2009-12-30

[ [ "Ferrero", "Alejandro", "" ], [ "Altschul", "Brett", "" ] ]

A time-varying fine structure constant alpha(t) could give rise to Lorentz- and CPT-violating changes to the vacuum polarization, which would affect photon propagation. Such changes to the effective action can violate gauge invariance, but they are otherwise permitted. However, in the minimal theory of varying alpha, no such terms are generated at lowest order. At second order, vacuum polarization can generate an instability--a Lorentz-violating analogue of a negative photon mass squared -m^2 proportional to alpha [(d alpha/dt) / alpha]^2 log (Lambda^2), where Lambda is the cutoff for the low-energy effective theory.

12.174788

12.186724

11.902003

10.337322

12.005235

11.315409

11.378343

10.798018

10.279054

11.955226

11.738037

10.89895

10.997777

10.782282

11.017561

11.422002

11.350824

10.765131

10.921099

11.075354

11.492403

1709.06323

Arata Yamamoto

One-dimensional anyons in relativistic field theory

null

PTEP 2018 (2018) 043B03

10.1093/ptep/pty030

null

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

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

We study relativistic anyon field theory in 1+1 dimensions. While (2+1)-dimensional anyon fields are equivalent to boson or fermion fields coupled with the Chern-Simons gauge fields, (1+1)-dimensional anyon fields are equivalent to boson or fermion fields with many-body interaction. We derive the path integral representation and perform the lattice Monte Carlo simulation.

[ { "created": "Tue, 19 Sep 2017 10:01:29 GMT", "version": "v1" }, { "created": "Fri, 23 Feb 2018 11:50:39 GMT", "version": "v2" } ]

2018-04-11

[ [ "Yamamoto", "Arata", "" ] ]

We study relativistic anyon field theory in 1+1 dimensions. While (2+1)-dimensional anyon fields are equivalent to boson or fermion fields coupled with the Chern-Simons gauge fields, (1+1)-dimensional anyon fields are equivalent to boson or fermion fields with many-body interaction. We derive the path integral representation and perform the lattice Monte Carlo simulation.

5.975152

5.691713

5.693698

5.176709

5.785944

5.534485

5.743881

5.056806

5.12703

6.114923

5.247338

5.521801

5.710806

5.577816

5.698193

5.744758

5.409414

5.513401

5.506699

5.536954

5.419868

0910.5596

Stefan Hohenegger

I. Antoniadis and S. Hohenegger

N=4 Topological Amplitudes and Black Hole Entropy

33 pages, references added, section 3.3 added

Nucl.Phys.B837:61-89,2010

10.1016/j.nuclphysb.2010.04.026

null

hep-th

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

We study the effects of N=4 topological string amplitudes on the entropy of black holes. We analyse the leading contribution associated to six-derivative terms and find one particular operator which can correct the entropy of N=4 black holes. This operator is BPS-like and appears in the effective action of type II string theory on K3 x T^2 or equivalently its heterotic dual on T^6. In both descriptions the leading contribution arises at one-loop, which we calculate explicitly on the heterotic side. We then consider whether this term has any consequences for the entropy of (large) N=4 black holes and find that it makes indeed a contribution at subleading order. Repeating the computation for small black holes with vanishing horizon area at the classical level, we prove that this coupling lifts certain flat directions in the entropy function thereby being responsible for the attractor equations of some moduli fields.

[ { "created": "Thu, 29 Oct 2009 09:46:41 GMT", "version": "v1" }, { "created": "Sun, 2 May 2010 15:46:44 GMT", "version": "v2" } ]

2014-11-20

[ [ "Antoniadis", "I.", "" ], [ "Hohenegger", "S.", "" ] ]

We study the effects of N=4 topological string amplitudes on the entropy of black holes. We analyse the leading contribution associated to six-derivative terms and find one particular operator which can correct the entropy of N=4 black holes. This operator is BPS-like and appears in the effective action of type II string theory on K3 x T^2 or equivalently its heterotic dual on T^6. In both descriptions the leading contribution arises at one-loop, which we calculate explicitly on the heterotic side. We then consider whether this term has any consequences for the entropy of (large) N=4 black holes and find that it makes indeed a contribution at subleading order. Repeating the computation for small black holes with vanishing horizon area at the classical level, we prove that this coupling lifts certain flat directions in the entropy function thereby being responsible for the attractor equations of some moduli fields.

11.326788

11.515522

12.00106

10.798276

11.124301

11.149722

11.218502

10.503621

10.514576

12.151256

10.810825

10.916337

10.924257

10.536064

10.900265

10.640753

10.986974

10.733359

10.669917

10.910553

10.57512

2003.04349

Nabil Iqbal

Nabil Iqbal and John McGreevy

Toward a 3d Ising model with a weakly-coupled string theory dual

34 pages + appendices. Many plots and pictures of cubes. Appendix E can be cut out and assembled. Code available at https://github.com/nabiliqbal/3d-ising-string-theory. v2: references added, minor changes

SciPost Phys. 9, 019 (2020)

10.21468/SciPostPhys.9.2.019

null

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

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

It has long been expected that the 3d Ising model can be thought of as a string theory, where one interprets the domain walls that separate up spins from down spins as two-dimensional string worldsheets. The usual Ising Hamiltonian measures the area of these domain walls. This theory has string coupling of unit magnitude. We add new local terms to the Ising Hamiltonian that further weight each spin configuration by a factor depending on the genus of the corresponding domain wall, resulting in a new 3d Ising model that has a tunable bare string coupling $g_s$. We use a combination of analytical and numerical methods to analyze the phase structure of this model as $g_s$ is varied. We study statistical properties of the topology of worldsheets and discuss the prospects of using this new deformation at weak string coupling to find a worldsheet description of the 3d Ising transition.

[ { "created": "Mon, 9 Mar 2020 18:31:29 GMT", "version": "v1" }, { "created": "Tue, 16 Jun 2020 12:18:40 GMT", "version": "v2" } ]

2020-08-19

[ [ "Iqbal", "Nabil", "" ], [ "McGreevy", "John", "" ] ]

It has long been expected that the 3d Ising model can be thought of as a string theory, where one interprets the domain walls that separate up spins from down spins as two-dimensional string worldsheets. The usual Ising Hamiltonian measures the area of these domain walls. This theory has string coupling of unit magnitude. We add new local terms to the Ising Hamiltonian that further weight each spin configuration by a factor depending on the genus of the corresponding domain wall, resulting in a new 3d Ising model that has a tunable bare string coupling $g_s$. We use a combination of analytical and numerical methods to analyze the phase structure of this model as $g_s$ is varied. We study statistical properties of the topology of worldsheets and discuss the prospects of using this new deformation at weak string coupling to find a worldsheet description of the 3d Ising transition.

8.689496

8.411841

9.005779

7.712826

8.189082

8.142051

8.474369

8.062003

8.286366

9.687749

8.050966

7.817602

8.358521

7.780116

7.200536

7.474385

7.537556

7.727673

7.82417

8.630382

7.639908

hep-th/0503214

Akifumi Sako

Akifumi Sako, Toshiya Suzuki

Partition functions of Supersymmetric Gauge Theories in Noncommutative R^{2D} and their Unified Perspective

45 pages, no figures, Appendices B and C are added, changes in the text, references are added

J.Math.Phys. 47 (2006) 012303

10.1063/1.2162127

OCHA-PP-249, KSTS/RR-05/002

hep-th math-ph math.MP

null

We investigate cohomological gauge theories in noncommutative R^{2D}. We show that vacuum expectation values of the theories do not depend on noncommutative parameters, and the large noncommutative parameter limit is equivalent to the dimensional reduction. As a result of these facts, we show that a partition function of a cohomological theory defined in noncommutative R^{2D} and a partition function of a cohomological field theory in R^{2D+2} are equivalent if they are connected through dimensional reduction. Therefore, we find several partition functions of supersymmetric gauge theories in various dimensions are equivalent. Using this technique, we determine the partition function of the N=4 U(1) gauge theory in noncommutative R^4, where its action does not include a topological term. The result is common among (8-dim, N=2), (6-dim, N=2), (2-dim, N=8) and the IKKT matrix model given by their dimensional reduction to 0-dim.

[ { "created": "Sun, 27 Mar 2005 16:44:12 GMT", "version": "v1" }, { "created": "Thu, 14 Apr 2005 19:21:52 GMT", "version": "v2" }, { "created": "Sat, 30 Apr 2005 14:23:57 GMT", "version": "v3" }, { "created": "Wed, 30 Nov 2005 05:17:01 GMT", "version": "v4" } ]

2009-11-11

[ [ "Sako", "Akifumi", "" ], [ "Suzuki", "Toshiya", "" ] ]

We investigate cohomological gauge theories in noncommutative R^{2D}. We show that vacuum expectation values of the theories do not depend on noncommutative parameters, and the large noncommutative parameter limit is equivalent to the dimensional reduction. As a result of these facts, we show that a partition function of a cohomological theory defined in noncommutative R^{2D} and a partition function of a cohomological field theory in R^{2D+2} are equivalent if they are connected through dimensional reduction. Therefore, we find several partition functions of supersymmetric gauge theories in various dimensions are equivalent. Using this technique, we determine the partition function of the N=4 U(1) gauge theory in noncommutative R^4, where its action does not include a topological term. The result is common among (8-dim, N=2), (6-dim, N=2), (2-dim, N=8) and the IKKT matrix model given by their dimensional reduction to 0-dim.

6.341418

5.995378

6.56216

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6.220135

5.984005

6.062258

5.864358

5.965291

7.140497

5.816127

6.196927

6.459914

6.047641

6.031993

6.029497

6.109245

5.998647

6.188897

6.467417

5.980451