LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1812.11658

Michael Duff

M. J. Duff

Thirty years of Erice on the brane

Based on lectures at the International Schools of Subnuclear Physics 1987-2017 and the International Symposium "60 Years of Subnuclear Physics at Bologna", University of Bologna, November 2018. Minor improvements and added references. arXiv admin note: text overlap with arXiv:hep-th/9611203

null

IMPERIAL-TP-2018-MJD-03

hep-th physics.hist-ph

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

After initially meeting with fierce resistance, "branes", p-dimensional extended objects which go beyond particles (p=0) and strings (p=1), now occupy centre stage in theoretical physics as microscopic components of M-theory, as the seeds of the AdS/CFT correspondence, as a branch of particle phenomenology, as the higher-dimensional progenitors of black holes and, via the "brane-world", as entire universes in their own right. Notwithstanding this early opposition, Nino Zichichi invited me to to talk about supermembranes and eleven dimensions at the 1987 School on Subnuclear Physics and has continued to keep Erice on the brane ever since. Here I provide a distillation of my Erice brane lectures and some personal recollections.

[ { "created": "Mon, 31 Dec 2018 01:05:44 GMT", "version": "v1" }, { "created": "Sun, 16 Jun 2019 17:25:01 GMT", "version": "v2" } ]

2019-06-21

[ [ "Duff", "M. J.", "" ] ]

After initially meeting with fierce resistance, "branes", p-dimensional extended objects which go beyond particles (p=0) and strings (p=1), now occupy centre stage in theoretical physics as microscopic components of M-theory, as the seeds of the AdS/CFT correspondence, as a branch of particle phenomenology, as the higher-dimensional progenitors of black holes and, via the "brane-world", as entire universes in their own right. Notwithstanding this early opposition, Nino Zichichi invited me to to talk about supermembranes and eleven dimensions at the 1987 School on Subnuclear Physics and has continued to keep Erice on the brane ever since. Here I provide a distillation of my Erice brane lectures and some personal recollections.

14.276604

14.480956

17.345839

13.99678

15.764732

14.830403

14.173376

14.318944

12.961273

18.439617

14.338577

13.046113

13.645967

12.584138

13.151138

13.359945

12.920325

13.165946

13.231033

13.879233

13.434958

1601.01800

Benjamin Knorr

Holger Gies, Benjamin Knorr, Stefan Lippoldt, Frank Saueressig

The Gravitational Two-Loop Counterterm is Asymptotically Safe

7 pages, 1 figure

Phys. Rev. Lett. 116, 211302 (2016)

10.1103/PhysRevLett.116.211302

null

hep-th gr-qc hep-ph

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

Weinberg's asymptotic safety scenario provides an elegant mechanism to construct a quantum theory of gravity within the framework of quantum field theory based on a non-Gau{\ss}ian fixed point of the renormalization group flow. In this work we report novel evidence for the validity of this scenario, using functional renormalization group techniques to determine the renormalization group flow of the Einstein-Hilbert action supplemented by the two-loop counterterm found by Goroff and Sagnotti. The resulting system of beta functions comprises three scale-dependent coupling constants and exhibits a non-Gau{\ss}ian fixed point which constitutes the natural extension of the one found at the level of the Einstein-Hilbert action. The fixed point exhibits two ultraviolet attractive and one repulsive direction supporting a low-dimensional UV-critical hypersurface. Our result vanquishes the longstanding criticism that asymptotic safety will not survive once a "proper perturbative counterterm" is included in the projection space.

[ { "created": "Fri, 8 Jan 2016 09:09:40 GMT", "version": "v1" } ]

2016-06-01

[ [ "Gies", "Holger", "" ], [ "Knorr", "Benjamin", "" ], [ "Lippoldt", "Stefan", "" ], [ "Saueressig", "Frank", "" ] ]

Weinberg's asymptotic safety scenario provides an elegant mechanism to construct a quantum theory of gravity within the framework of quantum field theory based on a non-Gau{\ss}ian fixed point of the renormalization group flow. In this work we report novel evidence for the validity of this scenario, using functional renormalization group techniques to determine the renormalization group flow of the Einstein-Hilbert action supplemented by the two-loop counterterm found by Goroff and Sagnotti. The resulting system of beta functions comprises three scale-dependent coupling constants and exhibits a non-Gau{\ss}ian fixed point which constitutes the natural extension of the one found at the level of the Einstein-Hilbert action. The fixed point exhibits two ultraviolet attractive and one repulsive direction supporting a low-dimensional UV-critical hypersurface. Our result vanquishes the longstanding criticism that asymptotic safety will not survive once a "proper perturbative counterterm" is included in the projection space.

7.20795

7.259633

8.302126

6.755252

7.819543

7.505181

7.185558

7.161614

7.17811

8.995757

6.619828

6.469901

6.767022

6.595655

6.461722

6.328949

6.361003

6.393455

6.556768

7.334505

6.872275

hep-th/9306013

David Kutasov

Two Dimensional QCD coupled to Adjoint Matter and String Theory

harvmac, 19 pages, EFI-93-30

Nucl.Phys. B414 (1994) 33-52

10.1016/0550-3213(94)90420-0

null

hep-th

null

We study $2d$ QCD coupled to fermions in the adjoint representation of the gauge group $SU(N)$ at large $N$, and its relation to string theory. It is shown that the model undergoes a deconfinement transition at a finite temperature (analogous to the Hagedorn transition in string theory), with certain winding modes in the Euclidean time direction turning tachyonic at high temperature. The theory is supersymmetric for a certain ratio of quark mass and gauge coupling. For other values of that ratio, supersymmetry is softly broken. The spectrum of bound states contains an infinite number of approximately linear Regge trajectories, approaching at large mass $M$, $\alpha^\prime M^2=\sum_i i l_i$ $(l_i\in{\bf Z_+})$. Thus, the theory exhibits an exponentially growing density of bosonic and fermionic states at high energy. We discuss these results in light of string expectations.

[ { "created": "Wed, 2 Jun 1993 17:29:05 GMT", "version": "v1" } ]

2009-10-22

[ [ "Kutasov", "David", "" ] ]

We study $2d$ QCD coupled to fermions in the adjoint representation of the gauge group $SU(N)$ at large $N$, and its relation to string theory. It is shown that the model undergoes a deconfinement transition at a finite temperature (analogous to the Hagedorn transition in string theory), with certain winding modes in the Euclidean time direction turning tachyonic at high temperature. The theory is supersymmetric for a certain ratio of quark mass and gauge coupling. For other values of that ratio, supersymmetry is softly broken. The spectrum of bound states contains an infinite number of approximately linear Regge trajectories, approaching at large mass $M$, $\alpha^\prime M^2=\sum_i i l_i$ $(l_i\in{\bf Z_+})$. Thus, the theory exhibits an exponentially growing density of bosonic and fermionic states at high energy. We discuss these results in light of string expectations.

7.236009

6.871746

7.67725

6.506102

7.182857

6.712847

6.683735

6.692681

6.774574

8.288485

6.88218

6.926028

7.210382

6.833648

6.975414

6.782498

6.739897

6.726087

6.916145

7.145317

6.821151

1210.2095

Di-Lun Yang

Berndt M\"uller and Di-Lun Yang

Light Probes in a Strongly Coupled Anisotropic Plasma

13 pages, 5 figures, extension of few paragraphs, published version

Phys. Rev. D 87, 046004 (2013)

10.1103/PhysRevD.87.046004

null

hep-th hep-ph

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

We employ the gauge/gravity duality to study the jet quenching of light probes traversing a static yet anisotropic strongly coupled $\mathcal{N}=4$ super Yang-Mills plasma. We compute the stopping distance of an image jet induced by a massless source field, which is characterized by a massless particle falling along the null geodesic in the WKB approximation, in an anisotropic dual geometry introduced by Mateos and Trancancelli. At mid and large anisotropic regimes, the stopping distances of a probe traveling in the anisotropic plasma along various orientations are suppressed compared to those in an isotropic plasma especially along the longitudinal direction at equal temperature. However, when fixing the entropy density, the anisotropic values of stopping distances near the transverse directions slightly surpass the isotropic values. In general, the jet quenching of light probes is increased by the anisotropic effect in a strongly coupled and equilibrium plasma.

[ { "created": "Sun, 7 Oct 2012 19:04:07 GMT", "version": "v1" }, { "created": "Fri, 12 Oct 2012 00:33:40 GMT", "version": "v2" }, { "created": "Wed, 20 Feb 2013 01:22:38 GMT", "version": "v3" } ]

2013-02-21

[ [ "Müller", "Berndt", "" ], [ "Yang", "Di-Lun", "" ] ]

We employ the gauge/gravity duality to study the jet quenching of light probes traversing a static yet anisotropic strongly coupled $\mathcal{N}=4$ super Yang-Mills plasma. We compute the stopping distance of an image jet induced by a massless source field, which is characterized by a massless particle falling along the null geodesic in the WKB approximation, in an anisotropic dual geometry introduced by Mateos and Trancancelli. At mid and large anisotropic regimes, the stopping distances of a probe traveling in the anisotropic plasma along various orientations are suppressed compared to those in an isotropic plasma especially along the longitudinal direction at equal temperature. However, when fixing the entropy density, the anisotropic values of stopping distances near the transverse directions slightly surpass the isotropic values. In general, the jet quenching of light probes is increased by the anisotropic effect in a strongly coupled and equilibrium plasma.

9.586064

9.33507

10.152573

9.516047

10.035449

9.552627

9.077169

9.415641

9.292622

11.056392

9.136381

9.044411

9.646313

9.184262

9.386599

9.389014

9.605355

9.152169

9.280236

9.154203

9.32105

hep-th/9402024

Alexei Vladimirov

A. P. Isaev and A. A. Vladimirov

GL_q(N)-covariant braided differential bialgebras

7 pages

Lett.Math.Phys. 33 (1995) 297-302

10.1007/BF00749683

JINR E2-94-32

hep-th math.QA

null

We study a possibility to define the (braided) comultiplication for the GLq(N)-covariant differential complexes on some quantum spaces. We discover such `differential bialgebras' (and Hopf algebras) on the bosonic and fermionic quantum hyperplanes (with additive coproduct) and on the braided matrix algebra BMq(N) with both multiplicative and additive coproducts. The latter case is related (for N=2) to the q-Minkowski space and q-Poincare algebra.

[ { "created": "Fri, 4 Feb 1994 10:21:40 GMT", "version": "v1" } ]

2009-10-28

[ [ "Isaev", "A. P.", "" ], [ "Vladimirov", "A. A.", "" ] ]

We study a possibility to define the (braided) comultiplication for the GLq(N)-covariant differential complexes on some quantum spaces. We discover such `differential bialgebras' (and Hopf algebras) on the bosonic and fermionic quantum hyperplanes (with additive coproduct) and on the braided matrix algebra BMq(N) with both multiplicative and additive coproducts. The latter case is related (for N=2) to the q-Minkowski space and q-Poincare algebra.

9.490627

9.172507

10.699111

8.654539

8.116914

9.327118

8.182246

8.483667

8.377296

10.592813

9.090534

9.356576

10.357492

9.117999

9.401232

9.481027

9.22966

9.091083

9.335048

10.367826

9.457795

2106.12610

Nabil Iqbal

Nabil Iqbal, John McGreevy

Mean string field theory: Landau-Ginzburg theory for 1-form symmetries

47 pages + appendices, 5 figures; v2: references added, some small clarifications, Appendix B improved

SciPost Phys. 13, 114 (2022)

10.21468/SciPostPhys.13.5.114

null

hep-th cond-mat.str-el

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

By analogy with the Landau-Ginzburg theory of ordinary zero-form symmetries, we introduce and develop a Landau-Ginzburg theory of one-form global symmetries, which we call mean string field theory. The basic dynamical variable is a string field -- defined on the space of closed loops -- that can be used to describe the creation, annihilation, and condensation of effective strings. Like its zero-form cousin, the mean string field theory provides a useful picture of the phase diagram of broken and unbroken phases. We provide a transparent derivation of the area law for charged line operators in the unbroken phase and describe the dynamics of gapless Goldstone modes in the broken phase. The framework also provides a theory of topological defects of the broken phase and a description of the phase transition that should be valid above an upper critical dimension, which we discuss. We also discuss general consequences of emergent one-form symmetries at zero and finite temperature.

[ { "created": "Wed, 23 Jun 2021 18:16:08 GMT", "version": "v1" }, { "created": "Mon, 8 Aug 2022 15:29:35 GMT", "version": "v2" } ]

2022-11-23

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

By analogy with the Landau-Ginzburg theory of ordinary zero-form symmetries, we introduce and develop a Landau-Ginzburg theory of one-form global symmetries, which we call mean string field theory. The basic dynamical variable is a string field -- defined on the space of closed loops -- that can be used to describe the creation, annihilation, and condensation of effective strings. Like its zero-form cousin, the mean string field theory provides a useful picture of the phase diagram of broken and unbroken phases. We provide a transparent derivation of the area law for charged line operators in the unbroken phase and describe the dynamics of gapless Goldstone modes in the broken phase. The framework also provides a theory of topological defects of the broken phase and a description of the phase transition that should be valid above an upper critical dimension, which we discuss. We also discuss general consequences of emergent one-form symmetries at zero and finite temperature.

8.765439

8.760001

9.176293

8.309939

9.81853

8.683255

8.887426

8.066321

8.97007

9.756755

7.831678

8.302377

8.802016

8.096168

8.290305

8.124713

8.511964

8.465186

8.206961

8.693187

8.032437

hep-th/0512021

DaeKil Park

D. K. Park

Hawking Radiation of the Brane-Localized Graviton from a $(4+n)$-dimensional Black Hole

15 pages, 6 figures, V2: Most part is revised except title, V3: The derivation of the effective potential is explained in some more detail. The assumption used in the paper is commented V4: CQG accepted

Class.Quant.Grav. 23 (2006) 4101-4110

null

hep-th gr-qc

null

Following the Regge-Wheeler algorithm, we derive a radial equation for the brane-localized graviton absorbed/emitted by the $(4+n)$-dimensional Schwarzschild black hole. Making use of this equation the absorption and emission spectra of the brane-localized graviton are computed numerically. Existence of the extra dimensions generally suppresses the absorption rate and enhances the emission rate as other spin cases. The appearance of the potential well, however, when $n > \sqrt{\ell (\ell + 1) -2} - 1$ in the effective potential makes the decreasing behavior of the total absorption with increasing $n$ in the low-energy regime. The high-energy limit of the total absorption cross section seems to coincide with that of the brane-localized scalar cross section. The increasing rate of the graviton emission is very large compared to those of other brane-localized fields. This fact indicates that the graviton emission can be dominant one in the Hawking radiation of the higher-dimensional black holes when $n$ is large.

[ { "created": "Thu, 1 Dec 2005 20:41:31 GMT", "version": "v1" }, { "created": "Fri, 2 Dec 2005 19:16:41 GMT", "version": "v2" }, { "created": "Sun, 4 Dec 2005 21:33:34 GMT", "version": "v3" }, { "created": "Thu, 2 Mar 2006 03:50:16 GMT", "version": "v4" }, { "created": "Fri, 5 May 2006 08:12:31 GMT", "version": "v5" } ]

2007-05-23

[ [ "Park", "D. K.", "" ] ]

Following the Regge-Wheeler algorithm, we derive a radial equation for the brane-localized graviton absorbed/emitted by the $(4+n)$-dimensional Schwarzschild black hole. Making use of this equation the absorption and emission spectra of the brane-localized graviton are computed numerically. Existence of the extra dimensions generally suppresses the absorption rate and enhances the emission rate as other spin cases. The appearance of the potential well, however, when $n > \sqrt{\ell (\ell + 1) -2} - 1$ in the effective potential makes the decreasing behavior of the total absorption with increasing $n$ in the low-energy regime. The high-energy limit of the total absorption cross section seems to coincide with that of the brane-localized scalar cross section. The increasing rate of the graviton emission is very large compared to those of other brane-localized fields. This fact indicates that the graviton emission can be dominant one in the Hawking radiation of the higher-dimensional black holes when $n$ is large.

8.338303

7.643415

7.839922

7.843029

8.128619

7.799723

8.504833

7.614386

8.024343

8.51216

7.921798

8.226933

7.763807

7.815388

8.153798

7.678283

7.75331

7.704731

7.7927

7.820324

7.969129

1707.07934

Kotaro Tamaoka

Geodesic Witten diagrams with anti-symmetric exchange

17 pages, 2 figures

Phys. Rev. D 96, 086007 (2017)

10.1103/PhysRevD.96.086007

OU-HET-939

hep-th

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

We show the AdS/CFT correspondence between the conformal partial wave and the geodesic Witten diagram with anti-symmetric exchange. To this end, we introduce the embedding space formalism for anti-symmetric fields in AdS. Then we prove that the geodesic Witten diagram satisfies the conformal Casimir equation and the appropriate boundary condition. Furthermore, we discuss the connection between the geodesic Witten diagram and the shadow formalism by using the split representation of harmonic function for anti-symmetric fields. We also discuss the 3pt geodesic Witten diagrams and its extension to the mixed-symmetric tensors.

[ { "created": "Tue, 25 Jul 2017 12:02:12 GMT", "version": "v1" } ]

2017-10-18

[ [ "Tamaoka", "Kotaro", "" ] ]

We show the AdS/CFT correspondence between the conformal partial wave and the geodesic Witten diagram with anti-symmetric exchange. To this end, we introduce the embedding space formalism for anti-symmetric fields in AdS. Then we prove that the geodesic Witten diagram satisfies the conformal Casimir equation and the appropriate boundary condition. Furthermore, we discuss the connection between the geodesic Witten diagram and the shadow formalism by using the split representation of harmonic function for anti-symmetric fields. We also discuss the 3pt geodesic Witten diagrams and its extension to the mixed-symmetric tensors.

6.943143

6.592452

8.323278

6.143396

6.509593

6.515255

6.544927

6.401819

6.157297

8.703865

6.301705

6.116572

7.842308

6.537876

6.425267

6.544813

6.463508

6.604358

6.402113

7.496527

6.311621

0709.2991

Shigeaki Yahikozawa

Yoichi Chizaki and Shigeaki Yahikozawa

General Operator Solutions and BRST Quantization of Superstrings in the pp-Wave with Torsion

31 pages

Prog.Theor.Phys.118:1127-1156, 2007

10.1143/PTP.118.1127

RUP-07-1, OCHA-PP-275

hep-th

null

We completely accomplish the canonically covariant quantization of Ramond-Neveu-Schwarz (RNS) superstrings in the pp-wave background with a non-zero flux of the NS-NS antisymmetric two-form field. Here this flux is equivalent to a nonvanishing torsion. In this quantization, general operator solutions, which satisfy the entire equation of motion and all the canonical (anti)commutation relations, play an important role. The whole of covariant string coordinates and fermions can be composed of free modes. Moreover, employing covariant free-mode representations, we calculate the anomaly in the super-Virasoro algebra and determine the number of dimensions of spacetime and the ordering constant from the nilpotency condition of the BRST charge in the pp-wave background with the flux.

[ { "created": "Wed, 19 Sep 2007 11:11:43 GMT", "version": "v1" } ]

2009-06-19

[ [ "Chizaki", "Yoichi", "" ], [ "Yahikozawa", "Shigeaki", "" ] ]

We completely accomplish the canonically covariant quantization of Ramond-Neveu-Schwarz (RNS) superstrings in the pp-wave background with a non-zero flux of the NS-NS antisymmetric two-form field. Here this flux is equivalent to a nonvanishing torsion. In this quantization, general operator solutions, which satisfy the entire equation of motion and all the canonical (anti)commutation relations, play an important role. The whole of covariant string coordinates and fermions can be composed of free modes. Moreover, employing covariant free-mode representations, we calculate the anomaly in the super-Virasoro algebra and determine the number of dimensions of spacetime and the ordering constant from the nilpotency condition of the BRST charge in the pp-wave background with the flux.

11.124362

8.951274

11.139277

9.317193

9.5417

9.217859

9.779303

9.134433

9.339883

12.475039

9.718221

10.122247

10.945385

10.463692

9.959589

10.27799

10.210922

10.243125

10.539011

11.362903

10.230024

hep-th/0403116

Sergei Alexandrov

D-branes and complex curves in c=1 string theory

28 pages, 6 figures; references added; minor corrections

JHEP 0405:025,2004

10.1088/1126-6708/2004/05/025

ITP-UU-04/07, SPIN-04/04

hep-th

null

We give a geometric interpretation for D-branes in the c=1 string theory. The geometric description is provided by complex curves which arise in both CFT and matrix model formulations. On the CFT side the complex curve appears from the partition function on the disk with Neumann boundary conditions on the Liouville field (FZZ brane). In the matrix model formulation the curve is associated with the profile of the Fermi sea of free fermions. These two curves are not the same. The latter can be seen as a certain reduction of the former. In particular, it describes only (m,1) ZZ branes, whereas the curve coming from the FZZ partition function encompasses all (m,n) branes. In fact, one can construct a set of reductions, one for each fixed n. But only the first one has a physical interpretation in the corresponding matrix model. Since in the linear dilaton background the singularities associated with the ZZ branes degenerate, we study the c=1 matrix model perturbed by a tachyon potential where the degeneracy disappears. From the curve of the perturbed model we give a prediction how D-branes flow with the perturbation and derive the two-point bulk correlation function on the disk with the FZZ boundary conditions.

[ { "created": "Wed, 10 Mar 2004 14:31:44 GMT", "version": "v1" }, { "created": "Mon, 22 Mar 2004 15:07:48 GMT", "version": "v2" }, { "created": "Wed, 30 Jun 2004 12:21:14 GMT", "version": "v3" } ]

2010-02-03

[ [ "Alexandrov", "Sergei", "" ] ]

We give a geometric interpretation for D-branes in the c=1 string theory. The geometric description is provided by complex curves which arise in both CFT and matrix model formulations. On the CFT side the complex curve appears from the partition function on the disk with Neumann boundary conditions on the Liouville field (FZZ brane). In the matrix model formulation the curve is associated with the profile of the Fermi sea of free fermions. These two curves are not the same. The latter can be seen as a certain reduction of the former. In particular, it describes only (m,1) ZZ branes, whereas the curve coming from the FZZ partition function encompasses all (m,n) branes. In fact, one can construct a set of reductions, one for each fixed n. But only the first one has a physical interpretation in the corresponding matrix model. Since in the linear dilaton background the singularities associated with the ZZ branes degenerate, we study the c=1 matrix model perturbed by a tachyon potential where the degeneracy disappears. From the curve of the perturbed model we give a prediction how D-branes flow with the perturbation and derive the two-point bulk correlation function on the disk with the FZZ boundary conditions.

9.279462

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8.541537

8.729002

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9.38463

8.704543

8.801864

8.664126

8.711604

8.852037

8.71807

9.686312

8.598649

hep-th/0305021

Bogdan Florea

Duiliu-Emanuel Diaconescu, Bogdan Florea, Aalok Misra

Orientifolds, Unoriented Instantons and Localization

25 pages, 10 figures, published version; v4: typos corrected

JHEP 0307 (2003) 041

10.1088/1126-6708/2003/07/041

null

hep-th

null

We consider world-sheet instanton effects in N=1 string orientifolds of noncompact toric Calabi-Yau threefolds. We show that unoriented closed string topological amplitudes can be exactly computed using localization techniques for holomorphic maps with involution. Our results are in precise agreement with mirror symmetry and large N duality predictions.

[ { "created": "Fri, 2 May 2003 16:43:43 GMT", "version": "v1" }, { "created": "Mon, 12 May 2003 14:34:16 GMT", "version": "v2" }, { "created": "Mon, 11 Aug 2003 22:26:38 GMT", "version": "v3" }, { "created": "Tue, 4 May 2004 21:03:08 GMT", "version": "v4" } ]

2009-11-10

[ [ "Diaconescu", "Duiliu-Emanuel", "" ], [ "Florea", "Bogdan", "" ], [ "Misra", "Aalok", "" ] ]

We consider world-sheet instanton effects in N=1 string orientifolds of noncompact toric Calabi-Yau threefolds. We show that unoriented closed string topological amplitudes can be exactly computed using localization techniques for holomorphic maps with involution. Our results are in precise agreement with mirror symmetry and large N duality predictions.

10.740688

8.128095

12.454261

8.482871

7.895069

7.668996

8.623289

7.979247

8.064575

11.696571

8.49922

8.603546

10.28618

8.463622

9.446471

9.175751

8.774891

8.535447

8.915202

10.005905

8.18664

hep-th/9810210

Robbert Dijkgraaf

R. Dijkgraaf

Instanton Strings and HyperKaehler Geometry

latex, 33 pages

Nucl.Phys. B543 (1999) 545-571

10.1016/S0550-3213(98)00869-4

null

hep-th math.AG

null

We discuss two-dimensional sigma models on moduli spaces of instantons on K3 surfaces. These N=(4,4) superconformal field theories describe the near-horizon dynamics of the D1-D5-brane system and are dual to string theory on AdS_3. We derive a precise map relating the moduli of the K3 type IIB string compactification to the moduli of these conformal field theories and the corresponding classical hyperkaehler geometry. We conclude that, in the absense of background gauge fields, the metric on the instanton moduli spaces degenerates exactly to the orbifold symmetric product of K3. Turning on a self-dual NS B-field deforms this symmetric product to a manifold that is diffeomorphic to the Hilbert scheme. We also comment on the mathematical applications of string duality to the global issues of deformations of hyperkaehler manifolds.

[ { "created": "Mon, 26 Oct 1998 14:48:37 GMT", "version": "v1" } ]

2009-10-31

[ [ "Dijkgraaf", "R.", "" ] ]

We discuss two-dimensional sigma models on moduli spaces of instantons on K3 surfaces. These N=(4,4) superconformal field theories describe the near-horizon dynamics of the D1-D5-brane system and are dual to string theory on AdS_3. We derive a precise map relating the moduli of the K3 type IIB string compactification to the moduli of these conformal field theories and the corresponding classical hyperkaehler geometry. We conclude that, in the absense of background gauge fields, the metric on the instanton moduli spaces degenerates exactly to the orbifold symmetric product of K3. Turning on a self-dual NS B-field deforms this symmetric product to a manifold that is diffeomorphic to the Hilbert scheme. We also comment on the mathematical applications of string duality to the global issues of deformations of hyperkaehler manifolds.

7.362535

7.434561

9.542718

7.174249

7.718786

7.727394

7.519332

7.034688

6.965653

9.35731

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7.546012

7.154776

7.291118

7.156232

7.169138

7.21646

6.909625

7.473312

6.97093

1112.5178

Hideki Maeda

Gauss-Bonnet braneworld redux: A novel scenario for the bouncing universe

34 pages, 3 figures, 2 tables; v2, sections rearranged, typos corrected; v3, final version to appear in Physical Review D

Phys. Rev. D85 (2012) 124012

10.1103/PhysRevD.85.124012

CECS-PHY-11/09

hep-th astro-ph.CO gr-qc

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

We propose a new scenario for the bouncing universe in a simple five-dimensional braneworld model in the framework of Einstein-Gauss-Bonnet gravity, which works even with ordinary matter on the brane. In this scenario, the so-called branch singularity located at a finite physical radius in the bulk spacetime plays an essential role. We show that a three-brane moving in the bulk may reach and pass through it in spite of the fact that it is a curvature singularity. The bulk spacetime is extended beyond the branch singularity in the C^0 sense and then the branch singularity is identified as a massive thin shell. From the bulk point of view, this process is the collision of the three-brane with the shell of branch singularity. From the point of view on the brane, this process is a sudden transition from the collapsing phase to the expanding phase of the universe. The present result opens a completely new possibility to achieve the bouncing brane universe as a higher-curvature effect.

[ { "created": "Wed, 21 Dec 2011 21:27:18 GMT", "version": "v1" }, { "created": "Mon, 2 Jan 2012 15:18:12 GMT", "version": "v2" }, { "created": "Sat, 26 May 2012 18:55:13 GMT", "version": "v3" } ]

2013-02-15

[ [ "Maeda", "Hideki", "" ] ]

We propose a new scenario for the bouncing universe in a simple five-dimensional braneworld model in the framework of Einstein-Gauss-Bonnet gravity, which works even with ordinary matter on the brane. In this scenario, the so-called branch singularity located at a finite physical radius in the bulk spacetime plays an essential role. We show that a three-brane moving in the bulk may reach and pass through it in spite of the fact that it is a curvature singularity. The bulk spacetime is extended beyond the branch singularity in the C^0 sense and then the branch singularity is identified as a massive thin shell. From the bulk point of view, this process is the collision of the three-brane with the shell of branch singularity. From the point of view on the brane, this process is a sudden transition from the collapsing phase to the expanding phase of the universe. The present result opens a completely new possibility to achieve the bouncing brane universe as a higher-curvature effect.

8.260434

8.105736

7.865958

7.405052

8.694461

8.645381

8.243065

7.786029

7.923481

8.521194

7.260547

7.983768

7.793028

7.670709

7.658897

7.694351

7.68149

7.640195

7.60457

8.152463

8.152879

1605.02785

Thomas Mertens

Thomas G. Mertens, Henri Verschelde, Valentin I. Zakharov

Hagedorn temperature and physics of black holes

6 pages, ICNFP2015 Conference Proceedings

null

hep-th

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

A mini-review devoted to some implications of the Hagedorn temperature for black hole physics. The existence of a limiting temperature is a generic feature of string models. The Hagedorn temperature was introduced first in the context of hadronic physics. Nowadays, the emphasis is shifted to fundamental strings which might be a necessary ingredient to obtain a consistent theory of black holes. The point is that, in field theory, the local temperature close to the horizon could be arbitrarily high, and this observation is difficult to reconcile with the finiteness of the entropy of black holes. After preliminary remarks, we review our recent attempt to evaluate the entropy of large black holes in terms of fundamental strings. We also speculate on implications for dynamics of large-N gauge theories arising within holographic models.

[ { "created": "Mon, 9 May 2016 21:10:05 GMT", "version": "v1" } ]

2016-05-11

[ [ "Mertens", "Thomas G.", "" ], [ "Verschelde", "Henri", "" ], [ "Zakharov", "Valentin I.", "" ] ]

A mini-review devoted to some implications of the Hagedorn temperature for black hole physics. The existence of a limiting temperature is a generic feature of string models. The Hagedorn temperature was introduced first in the context of hadronic physics. Nowadays, the emphasis is shifted to fundamental strings which might be a necessary ingredient to obtain a consistent theory of black holes. The point is that, in field theory, the local temperature close to the horizon could be arbitrarily high, and this observation is difficult to reconcile with the finiteness of the entropy of black holes. After preliminary remarks, we review our recent attempt to evaluate the entropy of large black holes in terms of fundamental strings. We also speculate on implications for dynamics of large-N gauge theories arising within holographic models.

11.014293

11.431449

11.026411

10.169222

10.922655

11.234621

10.86734

10.908623

11.198089

11.109

10.495266

10.236238

10.924137

10.331718

10.552716

10.619826

9.929771

10.544858

10.123941

10.480635

10.375012

hep-th/9410199

Flad

Michel Dubois-Violette, John Madore, Thierry Masson and Jihad Mourad

Linear connections on the quantum plane

9 pages

Lett.Math.Phys. 35 (1995) 351-358

10.1007/BF00750842

null

hep-th math.QA

null

A general definition has been proposed recently of a linear connection and a metric in noncommutative geometry. It is shown that to within normalization there is a unique linear connection on the quantum plane and there is no metric.

[ { "created": "Wed, 26 Oct 1994 17:24:13 GMT", "version": "v1" } ]

2009-10-28

[ [ "Dubois-Violette", "Michel", "" ], [ "Madore", "John", "" ], [ "Masson", "Thierry", "" ], [ "Mourad", "Jihad", "" ] ]

A general definition has been proposed recently of a linear connection and a metric in noncommutative geometry. It is shown that to within normalization there is a unique linear connection on the quantum plane and there is no metric.

16.139036

10.212176

12.482063

10.457529

12.641489

11.246365

11.864251

10.349562

10.851839

14.053506

11.374482

12.855777

13.208362

11.909225

11.917121

12.245715

11.753252

12.295233

12.516573

13.695843

12.524817

1508.03627

Christian Baadsgaard

Christian Baadsgaard, N. E. J. Bjerrum-Bohr, Jacob L. Bourjaily, Poul H. Damgaard and Bo Feng

Integration Rules for Loop Scattering Equations

22 pages, 17 figures

null

10.1007/JHEP11(2015)080

null

hep-th

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

We formulate new integration rules for one-loop scattering equations analogous to those at tree-level, and test them in a number of non-trivial cases for amplitudes in scalar $\phi^3$-theory. This formalism greatly facilitates the evaluation of amplitudes in the CHY representation at one-loop order, without the need to explicitly sum over the solutions to the loop-level scattering equations.

[ { "created": "Fri, 14 Aug 2015 19:59:31 GMT", "version": "v1" } ]

2016-01-20

[ [ "Baadsgaard", "Christian", "" ], [ "Bjerrum-Bohr", "N. E. J.", "" ], [ "Bourjaily", "Jacob L.", "" ], [ "Damgaard", "Poul H.", "" ], [ "Feng", "Bo", "" ] ]

We formulate new integration rules for one-loop scattering equations analogous to those at tree-level, and test them in a number of non-trivial cases for amplitudes in scalar $\phi^3$-theory. This formalism greatly facilitates the evaluation of amplitudes in the CHY representation at one-loop order, without the need to explicitly sum over the solutions to the loop-level scattering equations.

10.715497

7.301032

9.481904

7.246214

7.596402

7.583489

7.67074

7.086709

7.31382

10.511964

7.528328

7.438522

8.937046

8.13054

7.975512

7.743188

7.893741

7.942068

7.913966

9.245173

7.756116

hep-th/0210075

Marco Serone

M. Borunda, M. Serone and M. Trapletti

On the quantum stability of IIB orbifolds and orientifolds with Scherk-Schwarz SUSY breaking

26 pages, 5 figures; v2: version to appear in Nucl.Phys.B

Nucl.Phys. B653 (2003) 85-108

10.1016/S0550-3213(03)00040-3

SISSA-64/2002/EP

hep-th hep-ph

null

We study the quantum stability of Type IIB orbifold and orientifold string models in various dimensions, including Melvin backgrounds, where supersymmetry (SUSY) is broken {\it \`a la} Scherk-Schwarz (SS) by twisting periodicity conditions along a circle of radius R. In particular, we compute the R-dependence of the one-loop induced vacuum energy density $\rho(R)$, or cosmological constant. For SS twists different from Z2 we always find, for both orbifolds and orientifolds, a monotonic $\rho(R)<0$, eventually driving the system to a tachyonic instability. For Z2 twists, orientifold models can have a different behavior, leading either to a runaway decompactification limit or to a negative minimum at a finite value R_0. The last possibility is obtained for a 4D chiral orientifold model where a more accurate but yet preliminary analysis seems to indicate that $R_0\to \infty$ or towards the tachyonic instability, as the dependence on the other geometric moduli is included.

[ { "created": "Tue, 8 Oct 2002 15:39:26 GMT", "version": "v1" }, { "created": "Wed, 15 Jan 2003 18:03:15 GMT", "version": "v2" } ]

2009-11-07

[ [ "Borunda", "M.", "" ], [ "Serone", "M.", "" ], [ "Trapletti", "M.", "" ] ]

We study the quantum stability of Type IIB orbifold and orientifold string models in various dimensions, including Melvin backgrounds, where supersymmetry (SUSY) is broken {\it \`a la} Scherk-Schwarz (SS) by twisting periodicity conditions along a circle of radius R. In particular, we compute the R-dependence of the one-loop induced vacuum energy density $\rho(R)$, or cosmological constant. For SS twists different from Z2 we always find, for both orbifolds and orientifolds, a monotonic $\rho(R)<0$, eventually driving the system to a tachyonic instability. For Z2 twists, orientifold models can have a different behavior, leading either to a runaway decompactification limit or to a negative minimum at a finite value R_0. The last possibility is obtained for a 4D chiral orientifold model where a more accurate but yet preliminary analysis seems to indicate that $R_0\to \infty$ or towards the tachyonic instability, as the dependence on the other geometric moduli is included.

8.282689

9.141668

9.137026

8.209647

8.184351

8.293207

8.470428

8.014744

7.768157

9.144119

8.164929

8.009952

8.397619

7.953274

8.153008

7.909158

8.110089

7.920917

7.950259

8.54366

7.916402

1905.02729

Eliot Hijano

Flat space physics from AdS/CFT

38 pages, 3 figures. Added Fig.2. Journal version

J. High Energ. Phys. (2019) 2019: 132

10.1007/JHEP07(2019)132

null

hep-th gr-qc

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

We propose a formula relating scattering S-matrix amplitudes to correlators of a conformal field theory. The proposal implements a flat limit of the field theory, providing an indirect microscopic description of gravitational theories with asymptotically flat boundary conditions. The formula is valid for both massive and massless external particles, and reduces to existing expressions in the literature when all particles are either simultaneously massless or massive. We test the result in various (2+1)-dimensional examples such as simple BMS3 invariant correlators and blocks. We also study two-point correlators in conformal field theory deficit states to obtain known expressions for non-trivial scattering in asymptotically flat conical geometries.

[ { "created": "Tue, 7 May 2019 18:00:03 GMT", "version": "v1" }, { "created": "Tue, 20 Aug 2019 16:28:03 GMT", "version": "v2" } ]

2019-08-21

[ [ "Hijano", "Eliot", "" ] ]

We propose a formula relating scattering S-matrix amplitudes to correlators of a conformal field theory. The proposal implements a flat limit of the field theory, providing an indirect microscopic description of gravitational theories with asymptotically flat boundary conditions. The formula is valid for both massive and massless external particles, and reduces to existing expressions in the literature when all particles are either simultaneously massless or massive. We test the result in various (2+1)-dimensional examples such as simple BMS3 invariant correlators and blocks. We also study two-point correlators in conformal field theory deficit states to obtain known expressions for non-trivial scattering in asymptotically flat conical geometries.

13.234743

13.180575

15.654351

12.648119

13.59001

13.41805

14.517761

12.907714

13.178936

16.826731

13.090432

12.256221

13.291708

12.19153

12.737464

12.657235

12.786458

12.62959

12.551082

13.29578

12.338243

hep-th/0502182

Makoto Sakaguchi

Makoto Sakaguchi and Yukinori Yasui

Notes on Five-dimensional Kerr Black Holes

23 pages, 5 figures; analyses on the Weyl curvature of AdS Kerr black holes are extended, an appendix and references are added

Int.J.Mod.Phys. A21 (2006) 2331-2352

10.1142/S0217751X06028837

null

hep-th gr-qc math.DG

null

The geometry of five-dimensional Kerr black holes is discussed based on geodesics and Weyl curvatures. Kerr-Star space, Star-Kerr space and Kruskal space are naturally introduced by using special null geodesics. We show that the geodesics of AdS Kerr black hole are integrable, which generalizes the result of Frolov and Stojkovic. We also show that five-dimensional AdS Kerr black holes are isospectrum deformations of Ricci-flat Kerr black holes in the sense that the eigenvalues of the Weyl curvature are preserved.

[ { "created": "Mon, 21 Feb 2005 14:01:42 GMT", "version": "v1" }, { "created": "Tue, 1 Mar 2005 03:18:03 GMT", "version": "v2" } ]

2009-11-11

[ [ "Sakaguchi", "Makoto", "" ], [ "Yasui", "Yukinori", "" ] ]

The geometry of five-dimensional Kerr black holes is discussed based on geodesics and Weyl curvatures. Kerr-Star space, Star-Kerr space and Kruskal space are naturally introduced by using special null geodesics. We show that the geodesics of AdS Kerr black hole are integrable, which generalizes the result of Frolov and Stojkovic. We also show that five-dimensional AdS Kerr black holes are isospectrum deformations of Ricci-flat Kerr black holes in the sense that the eigenvalues of the Weyl curvature are preserved.

9.893337

10.59562

10.229407

9.20172

10.821316

9.784651

10.512653

9.357333

11.010423

10.267147

10.424869

9.755159

9.841937

9.479877

9.471928

10.178476

9.906019

9.363628

9.461257

9.431109

9.500819

1803.06983

Adar Sharon

$QCD_3$ Dualities and the F-Theorem

null

10.1007/JHEP08(2018)078

null

hep-th

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

There has recently been a surge of new ideas and results for 2+1 dimensional gauge theories. We consider a recently proposed duality for 2+1 dimensional QCD, which predicts a symmetry-breaking phase. Using the F-theorem, we find bounds on the range of parameters for which the symmetry-breaking phase (and the corresponding duality) can occur. We find exact bounds for an $ SU(2) $ gauge theory, and approximate bounds for an $SU(N) $ gauge theory with $ N>2 $.

[ { "created": "Mon, 19 Mar 2018 15:18:09 GMT", "version": "v1" }, { "created": "Wed, 13 Jun 2018 19:47:49 GMT", "version": "v2" } ]

2018-08-29

[ [ "Sharon", "Adar", "" ] ]

There has recently been a surge of new ideas and results for 2+1 dimensional gauge theories. We consider a recently proposed duality for 2+1 dimensional QCD, which predicts a symmetry-breaking phase. Using the F-theorem, we find bounds on the range of parameters for which the symmetry-breaking phase (and the corresponding duality) can occur. We find exact bounds for an $ SU(2) $ gauge theory, and approximate bounds for an $SU(N) $ gauge theory with $ N>2 $.

8.140312

6.926598

7.922603

6.756624

6.499451

6.649969

7.088905

6.688031

6.721181

8.435327

6.64571

6.796391

7.42244

6.966402

6.893758

6.608939

6.710959

6.793515

6.953754

7.584205

7.179761

2208.14744

Suman Das

Suman Das, Chethan Krishnan, A. Preetham Kumar, Arnab Kundu

Synthetic Fuzzballs: A Linear Ramp from Black Hole Normal Modes

36 pages, 20 figures. v2: typos fixed, JHEP version

JHEP 01 (2023) 153

10.1007/JHEP01(2023)153

null

hep-th cond-mat.stat-mech gr-qc

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

We consider a black hole with a stretched horizon as a toy model for a fuzzball microstate. The stretched horizon provides a cut-off, and therefore one can determine the normal (as opposed to quasi-normal) modes of a probe scalar in this geometry. For the BTZ black hole, we compute these as a function of the level $n$ and the angular quantum number $J$. Conventional level repulsion is absent in this system, and yet we find that the Spectral Form Factor (SFF) shows clear evidence for a dip-ramp-plateau structure with a linear ramp of slope $\sim 1$ on a log-log plot, with or without ensemble averaging. We show that this is a robust feature of stretched horizons by repeating our calculations on the Rindler wedge (times a compact space). We also observe that this is {\em not} a generic feature of integrable systems, as illustrated by standard examples like integrable billiards and random 2-site coupled SYK model, among others. The origins of the ramp can be traced to the hierarchically weaker dependence of the normal mode spectrum on the quantum numbers of the compact directions, and the resulting quasi-degeneracy. We conclude by noting an analogy between the 4-site coupled SYK model and the quartic coupling responsible for the non-linear instability of capped geometries. Based on this, we speculate that incorporating probe self-interactions will lead to stronger connections to random matrix behavior.

[ { "created": "Wed, 31 Aug 2022 09:47:47 GMT", "version": "v1" }, { "created": "Mon, 20 Mar 2023 13:45:27 GMT", "version": "v2" } ]

2023-03-21

[ [ "Das", "Suman", "" ], [ "Krishnan", "Chethan", "" ], [ "Kumar", "A. Preetham", "" ], [ "Kundu", "Arnab", "" ] ]

We consider a black hole with a stretched horizon as a toy model for a fuzzball microstate. The stretched horizon provides a cut-off, and therefore one can determine the normal (as opposed to quasi-normal) modes of a probe scalar in this geometry. For the BTZ black hole, we compute these as a function of the level $n$ and the angular quantum number $J$. Conventional level repulsion is absent in this system, and yet we find that the Spectral Form Factor (SFF) shows clear evidence for a dip-ramp-plateau structure with a linear ramp of slope $\sim 1$ on a log-log plot, with or without ensemble averaging. We show that this is a robust feature of stretched horizons by repeating our calculations on the Rindler wedge (times a compact space). We also observe that this is {\em not} a generic feature of integrable systems, as illustrated by standard examples like integrable billiards and random 2-site coupled SYK model, among others. The origins of the ramp can be traced to the hierarchically weaker dependence of the normal mode spectrum on the quantum numbers of the compact directions, and the resulting quasi-degeneracy. We conclude by noting an analogy between the 4-site coupled SYK model and the quartic coupling responsible for the non-linear instability of capped geometries. Based on this, we speculate that incorporating probe self-interactions will lead to stronger connections to random matrix behavior.

12.87007

12.777309

14.115306

12.665193

13.005415

12.712477

11.616062

11.942549

11.577923

14.472435

12.285167

12.525848

12.435648

12.124908

12.328423

12.486097

12.490825

12.043598

12.26872

13.15376

12.438478

hep-th/0608029

Rafael Hernandez

Cesar Gomez, Rafael Hernandez

The magnon kinematics of the AdS/CFT correspondence

21 pages, Latex. v2: Minor changes and additional references

JHEP 0611 (2006) 021

10.1088/1126-6708/2006/11/021

null

hep-th

null

The planar dilatation operator of N=4 supersymmetric Yang-Mills is the hamiltonian of an integrable spin chain whose length is allowed to fluctuate. We will identify the dynamics of length fluctuations of planar N=4 Yang-Mills with the existence of an abelian Hopf algebra Z symmetry with non-trivial co-multiplication and antipode. The intertwiner conditions for this Hopf algebra will restrict the allowed magnon irreps to those leading to the magnon dispersion relation. We will discuss magnon kinematics and crossing symmetry on the spectrum of Z. We also consider general features of the underlying Hopf algebra with Z as central Hopf subalgebra, and discuss the giant magnon semiclassical regime.

[ { "created": "Thu, 3 Aug 2006 16:44:02 GMT", "version": "v1" }, { "created": "Thu, 12 Oct 2006 12:32:52 GMT", "version": "v2" } ]

2009-11-11

[ [ "Gomez", "Cesar", "" ], [ "Hernandez", "Rafael", "" ] ]

The planar dilatation operator of N=4 supersymmetric Yang-Mills is the hamiltonian of an integrable spin chain whose length is allowed to fluctuate. We will identify the dynamics of length fluctuations of planar N=4 Yang-Mills with the existence of an abelian Hopf algebra Z symmetry with non-trivial co-multiplication and antipode. The intertwiner conditions for this Hopf algebra will restrict the allowed magnon irreps to those leading to the magnon dispersion relation. We will discuss magnon kinematics and crossing symmetry on the spectrum of Z. We also consider general features of the underlying Hopf algebra with Z as central Hopf subalgebra, and discuss the giant magnon semiclassical regime.

12.553754

12.657676

14.691632

11.203318

13.358585

11.543318

12.126296

11.183582

12.24266

14.960838

11.576846

11.237062

12.648912

11.648629

11.604239

11.881706

12.237185

11.608205

11.565891

12.056828

11.271527

hep-th/0512190

Florian Gmeiner

Standard Model statistics of a Type II orientifold

9 pages, 9 figures; v2: typos corrected, one reference added; Contribution to the proceedings of the RTN workshop "Constituents, Fundamental Forces and Symmetries of the Universe", Corfu, Greece, 20-26 Sep 2005

Fortsch.Phys. 54 (2006) 391-398

10.1002/prop.200510284

MPP-2005-164, LMU-ASC 80/05

hep-th

null

We analyse four-dimensional, supersymmetric intersecting D-brane models in a toroidal orientifold background from a statistical perspective. The distribution and correlation of observables, like gauge groups and couplings, are discussed. We focus on models with a Standard Model-like gauge sector, derive frequency distributions for their occurence and analyse the properties of the hidden sector.

[ { "created": "Thu, 15 Dec 2005 16:31:28 GMT", "version": "v1" }, { "created": "Thu, 22 Dec 2005 13:10:55 GMT", "version": "v2" } ]

2008-02-19

[ [ "Gmeiner", "Florian", "" ] ]

We analyse four-dimensional, supersymmetric intersecting D-brane models in a toroidal orientifold background from a statistical perspective. The distribution and correlation of observables, like gauge groups and couplings, are discussed. We focus on models with a Standard Model-like gauge sector, derive frequency distributions for their occurence and analyse the properties of the hidden sector.

12.234538

10.388862

12.696172

9.432646

9.447601

10.248317

11.407594

10.312386

10.093463

12.301806

9.967302

10.524698

11.849597

10.925924

10.649989

10.788503

10.342669

11.243546

10.507779

12.302355

10.637479

hep-th/0103238

Katherine Benson

Katherine M. Benson (Emory University)

Charge Violation and Alice Behavior in Global and Textured Strings

32 pages, 2 epsfigs, Revtex

Phys.Rev. D64 (2001) 085002

10.1103/PhysRevD.64.085002

EUPC/00-01

hep-th hep-ph

null

Spontaneous breaking of global symmetries can produce ``Alice'' strings: line defects which make unbroken symmetries multivalued, induce apparent charge violation via Aharonov-Bohm interactions, and form point defects when twisted into loops. We demonstrate this behavior for both divergent and textured global Alice strings. Both adiabatically scatter charged particles via effective Wilson lines. For textured Alice strings, such Wilson lines occur at all radii, and are multivalued only inside the string. This produces measurable effects, including path-dependent charge violation.

[ { "created": "Wed, 28 Mar 2001 22:40:22 GMT", "version": "v1" } ]

2009-11-07

[ [ "Benson", "Katherine M.", "", "Emory University" ] ]

Spontaneous breaking of global symmetries can produce ``Alice'' strings: line defects which make unbroken symmetries multivalued, induce apparent charge violation via Aharonov-Bohm interactions, and form point defects when twisted into loops. We demonstrate this behavior for both divergent and textured global Alice strings. Both adiabatically scatter charged particles via effective Wilson lines. For textured Alice strings, such Wilson lines occur at all radii, and are multivalued only inside the string. This produces measurable effects, including path-dependent charge violation.

25.324768

23.784668

24.805475

20.529438

24.365221

25.064835

26.10265

22.032204

23.163332

30.250473

21.208057

22.103348

22.817787

21.013319

21.997761

21.532125

22.68314

22.39888

22.268587

23.029385

22.221312

hep-th/0306298

Christopher Herzog

Christopher P. Herzog, Johannes Walcher

Dibaryons from Exceptional Collections

47 pages, 11 figures, corrected refs

JHEP 0309 (2003) 060

10.1088/1126-6708/2003/09/060

null

hep-th

null

We discuss aspects of the dictionary between brane configurations in del Pezzo geometries and dibaryons in the dual superconformal quiver gauge theories. The basis of fractional branes defining the quiver theory at the singularity has a K-theoretic dual exceptional collection of bundles which can be used to read off the spectrum of dibaryons in the weakly curved dual geometry. Our prescription identifies the R-charge R and all baryonic U(1) charges Q_I with divisors in the del Pezzo surface without any Weyl group ambiguity. As one application of the correspondence, we identify the cubic anomaly tr R Q_I Q_J as an intersection product for dibaryon charges in large-N superconformal gauge theories. Examples can be given for all del Pezzo surfaces using three- and four-block exceptional collections. Markov-type equations enforce consistency among anomaly equations for three-block collections.

[ { "created": "Mon, 30 Jun 2003 18:50:16 GMT", "version": "v1" }, { "created": "Wed, 2 Jul 2003 23:48:38 GMT", "version": "v2" }, { "created": "Thu, 17 Jul 2003 22:02:12 GMT", "version": "v3" } ]

2009-11-10

[ [ "Herzog", "Christopher P.", "" ], [ "Walcher", "Johannes", "" ] ]

We discuss aspects of the dictionary between brane configurations in del Pezzo geometries and dibaryons in the dual superconformal quiver gauge theories. The basis of fractional branes defining the quiver theory at the singularity has a K-theoretic dual exceptional collection of bundles which can be used to read off the spectrum of dibaryons in the weakly curved dual geometry. Our prescription identifies the R-charge R and all baryonic U(1) charges Q_I with divisors in the del Pezzo surface without any Weyl group ambiguity. As one application of the correspondence, we identify the cubic anomaly tr R Q_I Q_J as an intersection product for dibaryon charges in large-N superconformal gauge theories. Examples can be given for all del Pezzo surfaces using three- and four-block exceptional collections. Markov-type equations enforce consistency among anomaly equations for three-block collections.

15.797696

16.045193

19.102474

15.910339

17.078133

16.187874

15.715886

16.236843

15.803223

22.19017

14.629892

14.693849

16.56522

14.690125

14.215838

14.684449

15.153393

14.50716

14.687709

17.4121

14.770592

hep-th/9903174

Muneto Nitta

Muneto Nitta (KEK, Osaka Univ.)

K"ahler Potential for Global Symmetry Breaking in Supersymmetric Theories

LaTex, 29 pages, 1 figure

null

KEK-TH-615

hep-th hep-ph

null

We have developed N=1 supersymmetric nonlinear realization methods, which realize global symmetry breaking in N=1 supersymmetric theories. The target space of nonlinear sigma models with a linear model origin is a G^C-orbit, which is a non-compact non-homogeneous K"ahler manifold. We show that, if and only if the orbit is open, it includes a compact homogeneous K"ahler manifold as a submanifold, and a class of strictly G-invariant K"ahler potentials reduces to a K"ahler potential G-invariant up to a K"ahler transformation on the submanifold. Hence, in the case of an open orbit, the most general low-energy effective K"ahler potential can be written as the sum of those of the compact submanifolds and an arbitrary function of strictly G-invariants.

[ { "created": "Sat, 20 Mar 1999 14:07:24 GMT", "version": "v1" } ]

2016-09-06

[ [ "Nitta", "Muneto", "", "KEK, Osaka Univ." ] ]

We have developed N=1 supersymmetric nonlinear realization methods, which realize global symmetry breaking in N=1 supersymmetric theories. The target space of nonlinear sigma models with a linear model origin is a G^C-orbit, which is a non-compact non-homogeneous K"ahler manifold. We show that, if and only if the orbit is open, it includes a compact homogeneous K"ahler manifold as a submanifold, and a class of strictly G-invariant K"ahler potentials reduces to a K"ahler potential G-invariant up to a K"ahler transformation on the submanifold. Hence, in the case of an open orbit, the most general low-energy effective K"ahler potential can be written as the sum of those of the compact submanifolds and an arbitrary function of strictly G-invariants.

7.90718

8.915897

8.890906

7.583942

8.460838

8.218018

8.876288

7.921893

8.216704

8.945471

7.926708

7.880855

7.923277

7.792618

7.66653

7.724344

7.808825

7.612861

7.600273

8.395313

7.666981

2105.10062

Andr\'e Juan Ferreira--Martins

A. J. Ferreira-Martins

Gravity and its wonders: braneworlds and holography

Defended Master thesis, 225 pp. Based on our published papers arXiv:2104.02833, arXiv:1912.04837, arXiv:1904.01093, arXiv:1901.07492, and arXiv:1803.03336 ([hep-th])

null

hep-th

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

Gravity is wonderful. The main goal of this thesis is to explore and discuss two aspects of gravity -- two wonders, which illustrate the richness of the theoretical gravitational landscape: braneworlds and holography. Each one of these topics is the core idea of the two parts of which the thesis consists. We begin by presenting gravity as a geometrical theory, then discuss extra dimensions and braneworld scenarios, to motivate the following derivation of the effective Einstein Field Equations on the brane. Afterward, we introduce the Randall--Sundrum model and derive the Minimal Geometric Deformation (MGD) method and its extension (EMGD), which are later on constrained by the classical tests of General Relativity. After this, we discuss black hole thermodynamics and the basic features of the AdS spacetime and black holes in it. We then present the basics of linear response theory and hydrodynamics, and discuss the AdS/CFT duality and its methods, which are employed in the calculation of the shear viscosity-to-entropy density ratio in different gravitational backgrounds, whose result is used to constrain the parameters of generalized 4D and 5D black branes. The relationship between the membrane paradigm and AdS/CFT is also presented. This is followed by a discussion of generalized actions and the violation of the Kovtun--Son--Starinets bound. Afterward, we present the fluid/gravity correspondence as well as an alternative to it in the context of soft hairy horizons. We finish the presentation with a summary of the main results and concluding remarks

[ { "created": "Thu, 20 May 2021 23:02:40 GMT", "version": "v1" } ]

2021-05-24

[ [ "Ferreira-Martins", "A. J.", "" ] ]

Gravity is wonderful. The main goal of this thesis is to explore and discuss two aspects of gravity -- two wonders, which illustrate the richness of the theoretical gravitational landscape: braneworlds and holography. Each one of these topics is the core idea of the two parts of which the thesis consists. We begin by presenting gravity as a geometrical theory, then discuss extra dimensions and braneworld scenarios, to motivate the following derivation of the effective Einstein Field Equations on the brane. Afterward, we introduce the Randall--Sundrum model and derive the Minimal Geometric Deformation (MGD) method and its extension (EMGD), which are later on constrained by the classical tests of General Relativity. After this, we discuss black hole thermodynamics and the basic features of the AdS spacetime and black holes in it. We then present the basics of linear response theory and hydrodynamics, and discuss the AdS/CFT duality and its methods, which are employed in the calculation of the shear viscosity-to-entropy density ratio in different gravitational backgrounds, whose result is used to constrain the parameters of generalized 4D and 5D black branes. The relationship between the membrane paradigm and AdS/CFT is also presented. This is followed by a discussion of generalized actions and the violation of the Kovtun--Son--Starinets bound. Afterward, we present the fluid/gravity correspondence as well as an alternative to it in the context of soft hairy horizons. We finish the presentation with a summary of the main results and concluding remarks

8.633401

9.090224

9.005081

8.743534

8.930096

8.462718

9.101412

8.579989

8.873174

9.140452

8.590027

8.402025

8.627006

8.389837

8.572673

8.458918

8.519953

8.387851

8.428216

8.391571

8.258258

hep-th/9911216

Michele Caselle

M.Caselle and M.Hasenbusch

Critical amplitudes and mass spectrum of the 2D Ising model in a magnetic field

Final version, minor changes in the text, 52 pages

Nucl.Phys.B579:667-703,2000

10.1016/S0550-3213(00)00074-2

DFTT 58/99

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

null

We compute the spectrum and several critical amplitudes of the two dimensional Ising model in a magnetic field with the transfer matrix method. The three lightest masses and their overlaps with the spin and the energy operators are computed on lattices of a width up to L=21. In extracting the continuum results we also take into account the corrections to scaling due to irrelevant operators. In contrast with previous Monte Carlo simulations our final results are in perfect agreement with the predictions of S-matrix and conformal field theory. We also obtain the amplitudes of some of the subleading corrections, for which no S-matrix prediction has yet been obtained.

[ { "created": "Fri, 26 Nov 1999 14:38:37 GMT", "version": "v1" }, { "created": "Tue, 21 Dec 1999 14:55:36 GMT", "version": "v2" }, { "created": "Tue, 25 Jan 2000 10:15:26 GMT", "version": "v3" } ]

2008-11-26

[ [ "Caselle", "M.", "" ], [ "Hasenbusch", "M.", "" ] ]

We compute the spectrum and several critical amplitudes of the two dimensional Ising model in a magnetic field with the transfer matrix method. The three lightest masses and their overlaps with the spin and the energy operators are computed on lattices of a width up to L=21. In extracting the continuum results we also take into account the corrections to scaling due to irrelevant operators. In contrast with previous Monte Carlo simulations our final results are in perfect agreement with the predictions of S-matrix and conformal field theory. We also obtain the amplitudes of some of the subleading corrections, for which no S-matrix prediction has yet been obtained.

8.611176

9.324053

9.561816

8.008391

8.848321

8.73232

8.648299

7.726183

7.769438

9.490195

8.122966

8.216912

8.207189

8.12558

8.318438

8.124939

8.106714

8.294189

7.940849

8.68201

8.31318

hep-th/0006169

I. Zois

Ioannis P. Zois (Mathematical Institute, University of Oxford)

The Godbillon-Vey class, invariants of manifolds and linearised M-Theory

50 pages, TeX, extended version

null

OUMI-00-06

hep-th

null

We apply the Godbillon-Vey class to compute the transition amplitudes between some non-commutative solitons in M-Theory; our context is that of Connes-Douglas-Schwarz where they considered compactifications of matrix models on noncommutative tori. Two important consequences follow: we describe a new normalisation for the Abelian Chern-Simons theory using symplectic 4-manifolds as providing cobordisms for tight contact 3-manifolds and we construct a new(?) invariant for 3-manifolds. Moreover we modify the topological Lagrangian density suggested for M-Theory in a previous article to a \textsl{quadratic} one using the fact that the \emph{functor of immersions is a linearisation (or ``the differential'') of the functor of embeddings}

[ { "created": "Wed, 21 Jun 2000 17:18:58 GMT", "version": "v1" }, { "created": "Thu, 29 Jun 2000 13:12:33 GMT", "version": "v2" }, { "created": "Sun, 16 Jul 2000 16:59:14 GMT", "version": "v3" }, { "created": "Mon, 31 Jul 2000 16:06:01 GMT", "version": "v4" } ]

2007-05-23

[ [ "Zois", "Ioannis P.", "", "Mathematical Institute, University of Oxford" ] ]

We apply the Godbillon-Vey class to compute the transition amplitudes between some non-commutative solitons in M-Theory; our context is that of Connes-Douglas-Schwarz where they considered compactifications of matrix models on noncommutative tori. Two important consequences follow: we describe a new normalisation for the Abelian Chern-Simons theory using symplectic 4-manifolds as providing cobordisms for tight contact 3-manifolds and we construct a new(?) invariant for 3-manifolds. Moreover we modify the topological Lagrangian density suggested for M-Theory in a previous article to a \textsl{quadratic} one using the fact that the \emph{functor of immersions is a linearisation (or ``the differential'') of the functor of embeddings}

15.030852

14.996621

17.452257

14.558395

14.6332

15.944387

15.726581

14.561406

13.977439

17.605028

14.765

14.363685

14.805017

14.069139

14.539821

14.57714

14.399962

14.031463

14.204665

15.131545

14.300979

1509.07381

Hiroaki Nakajima

Katsushi Ito, Yusuke Kanayama, Hiroaki Nakajima and Shin Sasaki

BPS Equations in Omega-deformed N=4 Super Yang-Mills Theory

31 pages

null

10.1007/JHEP11(2015)152

TIT/HEP-645, CTP-SCU/2015019

hep-th

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

We study supersymmetry of N=4 super Yang-Mills theory in four dimensions deformed in the Omega-background. We take the Nekrasov-Shatashvili limit of the background so that two-dimensional super Poincare symmetry is recovered. We compute the deformed central charge of the superalgebra and study the 1/2 and 1/4 BPS states. We obtain the Omega-deformed 1/2 and 1/4 BPS dyon equations from the deformed supersymmetry transformation and the Bogomol'nyi completion of the energy.

[ { "created": "Thu, 24 Sep 2015 14:09:37 GMT", "version": "v1" } ]

2016-01-20

[ [ "Ito", "Katsushi", "" ], [ "Kanayama", "Yusuke", "" ], [ "Nakajima", "Hiroaki", "" ], [ "Sasaki", "Shin", "" ] ]

We study supersymmetry of N=4 super Yang-Mills theory in four dimensions deformed in the Omega-background. We take the Nekrasov-Shatashvili limit of the background so that two-dimensional super Poincare symmetry is recovered. We compute the deformed central charge of the superalgebra and study the 1/2 and 1/4 BPS states. We obtain the Omega-deformed 1/2 and 1/4 BPS dyon equations from the deformed supersymmetry transformation and the Bogomol'nyi completion of the energy.

5.761671

5.126802

6.370544

5.345694

5.466533

5.503388

5.471761

4.886131

5.418598

6.362622

5.588205

5.468579

5.709822

5.20988

5.098071

5.324013

5.2008

5.419013

5.290298

5.36492

5.150531

hep-th/9706138

Paulo Rodrigues Lima Vargas Moniz

P.V. Moniz

Why two makes it more attractive than just with one... or Bianchi class-A models and Reissner-Nordstr\"om Black Holes in Quantum N=2 Supergravity

5 pages, uses ``twoside,fleqn,espcrc2'' in LaTeX, Extended version of talks/communications presented at the conferences Constrained Dynamics and Quantum Gravity, Sta. Marguerita, September 1996, Italy; New Voices in Gravitation and Quantum Gravity, Penn State, November 1996, USA and 18th Texas Symposium on Relativistic Astrophysics, December 1996, Chicago, USA; to appear in Nuc. Phys. B 1997 (Supplements)

Nucl.Phys.Proc.Suppl. 57 (1997) 307-311

10.1016/S0920-5632(97)00392-7

null

hep-th

null

Bianchi class-A models and Reissner-Nordst\"rom (RN) black hole scenarios are considered from the point of view of quantum N=2 Supergravity. It is shown that the presence of Maxwell fields in the supersymmetry constraints implies a non-conservation of the fermion number present in Bianchi class-A models. This effect corresponds to a mixing between different (Lorentz invariant) fermionic sectors in the wave function of the Universe. Quantum states are constituted by exponentials of N=2 supersymmetric Chern-Simons functionals. With respect to the RN case, we analyse some problems and features present in a reduced model with supersymmetry. Lines of subsequent research work are then provided.

[ { "created": "Thu, 19 Jun 1997 11:20:35 GMT", "version": "v1" } ]

2009-10-30

[ [ "Moniz", "P. V.", "" ] ]

Bianchi class-A models and Reissner-Nordst\"rom (RN) black hole scenarios are considered from the point of view of quantum N=2 Supergravity. It is shown that the presence of Maxwell fields in the supersymmetry constraints implies a non-conservation of the fermion number present in Bianchi class-A models. This effect corresponds to a mixing between different (Lorentz invariant) fermionic sectors in the wave function of the Universe. Quantum states are constituted by exponentials of N=2 supersymmetric Chern-Simons functionals. With respect to the RN case, we analyse some problems and features present in a reduced model with supersymmetry. Lines of subsequent research work are then provided.

14.07604

14.3513

12.934812

12.911243

12.814767

13.051813

14.724426

12.267381

13.251538

13.3932

13.185752

12.728864

12.456761

12.246451

12.67259

12.83027

12.968869

12.277367

13.373165

12.714308

12.656197

hep-th/0606090

Leonardo Senatore

Paolo Creminelli (ICTP, Trieste), Markus A. Luty (Maryland U.), Alberto Nicolis (Harvard U., Phys. Dept.), and Leonardo Senatore (MIT)

Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies

27 pages, 3 figures; v2: comments added about blue spectrum of GWs from inflation and the relation between NEC and modification of gravity, JHEP published version

JHEP0612:080,2006

10.1088/1126-6708/2006/12/080

HUTP-06/A0019, MIT-CTP 3738, IC/2006/034

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

null

We present a consistent effective theory that violates the null energy condition (NEC) without developing any instabilities or other pathological features. The model is the ghost condensate with the global shift symmetry softly broken by a potential. We show that this system can drive a cosmological expansion with dH/dt > 0. Demanding the absence of instabilities in this model requires dH/dt <~ H^2. We then construct a general low-energy effective theory that describes scalar fluctuations about an arbitrary FRW background, and argue that the qualitative features found in our model are very general for stable systems that violate the NEC. Violating the NEC allows dramatically non-standard cosmological histories. To illustrate this, we construct an explicit model in which the expansion of our universe originates from an asymptotically flat state in the past, smoothing out the big-bang singularity within control of a low-energy effective theory. This gives an interesting alternative to standard inflation for solving the horizon problem. We also construct models in which the present acceleration has w < -1; a periodic ever-expanding universe and a model with a smooth ``bounce'' connecting a contracting and expanding phase.

[ { "created": "Mon, 12 Jun 2006 19:43:30 GMT", "version": "v1" }, { "created": "Fri, 8 Dec 2006 10:31:58 GMT", "version": "v2" } ]

2009-11-11

[ [ "Creminelli", "Paolo", "", "ICTP, Trieste" ], [ "Luty", "Markus A.", "", "Maryland U." ], [ "Nicolis", "Alberto", "", "Harvard U., Phys. Dept." ], [ "Senatore", "Leonardo", "", "MIT" ] ]

We present a consistent effective theory that violates the null energy condition (NEC) without developing any instabilities or other pathological features. The model is the ghost condensate with the global shift symmetry softly broken by a potential. We show that this system can drive a cosmological expansion with dH/dt > 0. Demanding the absence of instabilities in this model requires dH/dt <~ H^2. We then construct a general low-energy effective theory that describes scalar fluctuations about an arbitrary FRW background, and argue that the qualitative features found in our model are very general for stable systems that violate the NEC. Violating the NEC allows dramatically non-standard cosmological histories. To illustrate this, we construct an explicit model in which the expansion of our universe originates from an asymptotically flat state in the past, smoothing out the big-bang singularity within control of a low-energy effective theory. This gives an interesting alternative to standard inflation for solving the horizon problem. We also construct models in which the present acceleration has w < -1; a periodic ever-expanding universe and a model with a smooth ``bounce'' connecting a contracting and expanding phase.

10.584793

10.399557

10.249142

9.367146

10.105483

10.683189

9.914948

10.0233

9.636355

10.996629

9.72471

9.845887

10.0927

9.904784

9.895234

10.027164

10.203588

9.821178

9.809555

9.957875

9.707365

hep-th/0304073

Victor Rivelles

Victor O. Rivelles

Triviality of Higher Derivative Theories

4 pages, minor corrections

Phys.Lett. B577 (2003) 137-142

10.1016/j.physletb.2003.10.039

null

hep-th gr-qc

null

We show that some higher derivative theories have a BRST symmetry. This symmetry is due to the higher derivative structure and is not associated to any gauge invariance. If physical states are defined as those in the BRST cohomology then the only physical state is the vacuum. All negative norm states, characteristic of higher derivative theories, are removed from the physical sector. As a consequence, unitarity is recovered but the S-matrix is trivial. We show that a class of higher derivative quantum gravity theories have this BRST symmetry so that they are consistent as quantum field theories. Furthermore, this BRST symmetry may be present in both relativistic and non-relativistic systems.

[ { "created": "Tue, 8 Apr 2003 17:30:23 GMT", "version": "v1" }, { "created": "Thu, 16 Oct 2003 13:24:15 GMT", "version": "v2" } ]

2015-06-26

[ [ "Rivelles", "Victor O.", "" ] ]

We show that some higher derivative theories have a BRST symmetry. This symmetry is due to the higher derivative structure and is not associated to any gauge invariance. If physical states are defined as those in the BRST cohomology then the only physical state is the vacuum. All negative norm states, characteristic of higher derivative theories, are removed from the physical sector. As a consequence, unitarity is recovered but the S-matrix is trivial. We show that a class of higher derivative quantum gravity theories have this BRST symmetry so that they are consistent as quantum field theories. Furthermore, this BRST symmetry may be present in both relativistic and non-relativistic systems.

6.96618

6.49568

6.787576

6.326038

6.333811

6.600042

6.245754

6.183492

6.342371

6.296146

6.159488

6.165468

6.62047

6.530526

6.441731

6.409797

6.522512

6.552937

6.301434

6.778853

6.384628

1005.3714

Kiyoshi Kamimura

Sotirios Bonanos, Joaquim Gomis, Kiyoshi Kamimura and Jerzy Lukierski

Deformations of Maxwell Superalgebras and Their Applications

30 pages, 1 figure, Comments and a reference added

J.Math.Phys.51:102301,2010

10.1063/1.3492928

ICCUB-10-032, Toho-CP-1093

hep-th

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

We describe the Lie algebra deformations of D=4 Maxwell superalgebra that was recently introduced as the symmetry algebra of a kappa-symmetric massless superparticle in a supersymmetric constant electromagnetic background. Further we introduce the D=3 Maxwell superalgebra and present all its possible deformations. Finally the deformed superalgebras are used to derive via a contraction procedure the complete set of Casimir operators for D=4 and D=3 Maxwell superalgebras.

[ { "created": "Thu, 20 May 2010 14:39:41 GMT", "version": "v1" }, { "created": "Wed, 26 May 2010 01:20:04 GMT", "version": "v2" } ]

2011-04-07

[ [ "Bonanos", "Sotirios", "" ], [ "Gomis", "Joaquim", "" ], [ "Kamimura", "Kiyoshi", "" ], [ "Lukierski", "Jerzy", "" ] ]

We describe the Lie algebra deformations of D=4 Maxwell superalgebra that was recently introduced as the symmetry algebra of a kappa-symmetric massless superparticle in a supersymmetric constant electromagnetic background. Further we introduce the D=3 Maxwell superalgebra and present all its possible deformations. Finally the deformed superalgebras are used to derive via a contraction procedure the complete set of Casimir operators for D=4 and D=3 Maxwell superalgebras.

7.974442

7.737618

9.166937

7.520895

7.525239

7.896575

7.674434

7.628904

7.330691

9.902413

7.921111

7.570959

8.395227

7.522504

7.529737

7.755927

6.955959

7.724309

7.577277

8.095172

7.740126

1312.3371

Dan Xie

Aspects of line operators of class S theories

34 pages, 24 figures

null

hep-th

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

Geometric picture of line operators of N=2 class S theories was found by imposing closure condition on operator product expansion (OPE) of line operators. In this paper, we first identify the geometric representation of ordinary Wilson-'t Hooft line operators of field theory, and study duality action on them. We further define a Dirac product between line operators and classify the allowed set of line operators by requiring: a: closure of OPE; b: mutual locality; c: maximality. Using above classifications, we find many distinct gauge theories associated with a single duality frame, and show explicitly that new possibilities correspond to the choice of global form of gauge group and discrete theta angles. We also study S and T duality actions relating those theories. In particular, we find very interesting duality webs for Maldacena-Nunez theory.

[ { "created": "Wed, 11 Dec 2013 23:26:14 GMT", "version": "v1" } ]

2013-12-13

[ [ "Xie", "Dan", "" ] ]

Geometric picture of line operators of N=2 class S theories was found by imposing closure condition on operator product expansion (OPE) of line operators. In this paper, we first identify the geometric representation of ordinary Wilson-'t Hooft line operators of field theory, and study duality action on them. We further define a Dirac product between line operators and classify the allowed set of line operators by requiring: a: closure of OPE; b: mutual locality; c: maximality. Using above classifications, we find many distinct gauge theories associated with a single duality frame, and show explicitly that new possibilities correspond to the choice of global form of gauge group and discrete theta angles. We also study S and T duality actions relating those theories. In particular, we find very interesting duality webs for Maldacena-Nunez theory.

14.714098

15.042934

16.610487

14.186023

14.146376

14.638885

14.673806

13.887946

14.367257

18.706032

14.377366

14.24683

14.683466

13.714861

13.751513

13.686018

13.624577

13.929646

13.719221

14.599299

14.07692

0809.1311

Diego S\'aez-G\'omez

Modified f(R) gravity from scalar-tensor theory and inhomogeneous EoS dark energy

8 pages

Gen.Rel.Grav.41:1527-1538,2009

10.1007/s10714-008-0724-3

null

hep-th

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

The reconstruction of f(R)-gravity is showed by using an auxiliary scalar field in the context of cosmological evolution, this development provide a way of reconstruct the form of the function f (R) for a given evolution of the Hubble parameter. In analogy, f(R)-gravity may be expressed by a perfect fluid with an inhomogeneous equation of state that depends on the Hubble parameter and its derivatives. This mathematical equivalence that may confuse about the origin of the mechanism that produces the current acceleration, and possibly the whole evolution of the Hubble parameter, is shown here.

[ { "created": "Mon, 8 Sep 2008 11:12:40 GMT", "version": "v1" }, { "created": "Tue, 14 Jul 2009 10:57:00 GMT", "version": "v2" } ]

2009-07-22

[ [ "Sáez-Gómez", "Diego", "" ] ]

The reconstruction of f(R)-gravity is showed by using an auxiliary scalar field in the context of cosmological evolution, this development provide a way of reconstruct the form of the function f (R) for a given evolution of the Hubble parameter. In analogy, f(R)-gravity may be expressed by a perfect fluid with an inhomogeneous equation of state that depends on the Hubble parameter and its derivatives. This mathematical equivalence that may confuse about the origin of the mechanism that produces the current acceleration, and possibly the whole evolution of the Hubble parameter, is shown here.

13.04287

11.92544

11.242498

10.447312

11.543849

10.996668

11.981269

10.555148

11.551538

11.704143

12.514015

11.434273

11.74994

11.265634

11.313007

11.618651

11.522399

10.859371

12.328702

11.158498

12.193403

0805.4724

Roland Kirschner

S. Derkachov, D. Karakhanyan, R. Kirschner and P. Valinevich

Iterative construction of $U_q (s\ell (n+1)) $ representations and Lax matrix factorisation

18 pages, references added

Lett.Math.Phys.85:221-234,2008

10.1007/s11005-008-0268-1

null

hep-th math.QA

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

The construction of a generic representation of $g\ell(n+1)$ or of the trigonomentric deformation of its enveloping algebra known as algebraic induction is conveniently formulated in term of Lax matrices. The Lax matrix of the constructed representation factorises into parts determined by the Lax matrix of a generic representation of the algebra with reduced rank and others appearing in the factorised expression of the Lax matrix of the special Jordan-Schwinger representation.

[ { "created": "Fri, 30 May 2008 10:51:17 GMT", "version": "v1" }, { "created": "Fri, 6 Jun 2008 11:14:18 GMT", "version": "v2" } ]

2008-11-26

[ [ "Derkachov", "S.", "" ], [ "Karakhanyan", "D.", "" ], [ "Kirschner", "R.", "" ], [ "Valinevich", "P.", "" ] ]

The construction of a generic representation of $g\ell(n+1)$ or of the trigonomentric deformation of its enveloping algebra known as algebraic induction is conveniently formulated in term of Lax matrices. The Lax matrix of the constructed representation factorises into parts determined by the Lax matrix of a generic representation of the algebra with reduced rank and others appearing in the factorised expression of the Lax matrix of the special Jordan-Schwinger representation.

22.390928

21.81015

23.326422

18.757584

21.778059

21.840853

23.423458

22.653522

19.93471

24.355474

18.414019

19.583574

22.716721

20.160961

19.230814

19.389275

20.189112

19.37324

20.961985

22.047737

19.322174

hep-th/0410292

Christian Saemann

The Topological B-Model on Fattened Complex Manifolds and Subsectors of N=4 Self-Dual Yang-Mills Theory

29+1 pages, some typos fixed

JHEP0501:042,2005

10.1088/1126-6708/2005/01/042

null

hep-th

null

In this paper, we propose so-called fattened complex manifolds as target spaces for the topological B-model. We naturally obtain these manifolds by restricting the structure sheaf of the N=4 supertwistor space, a process, which can be understood as a fermionic dimensional reduction. Using the twistorial description of these fattened complex manifolds, we construct Penrose-Ward transforms between solutions to the holomorphic Chern-Simons equations on these spaces and bosonic subsectors of solutions to the N=4 self-dual Yang-Mills equations on C^4 or R^4. Furthermore, we comment on Yau's theorem for these spaces.

[ { "created": "Fri, 29 Oct 2004 16:13:25 GMT", "version": "v1" }, { "created": "Wed, 2 Feb 2005 12:55:12 GMT", "version": "v2" }, { "created": "Wed, 24 Aug 2005 16:58:13 GMT", "version": "v3" } ]

2009-11-10

[ [ "Saemann", "Christian", "" ] ]

In this paper, we propose so-called fattened complex manifolds as target spaces for the topological B-model. We naturally obtain these manifolds by restricting the structure sheaf of the N=4 supertwistor space, a process, which can be understood as a fermionic dimensional reduction. Using the twistorial description of these fattened complex manifolds, we construct Penrose-Ward transforms between solutions to the holomorphic Chern-Simons equations on these spaces and bosonic subsectors of solutions to the N=4 self-dual Yang-Mills equations on C^4 or R^4. Furthermore, we comment on Yau's theorem for these spaces.

8.34526

7.530757

10.176129

7.426146

7.53748

8.217423

8.024073

7.656549

7.865355

11.917757

7.709197

7.758571

7.963723

7.305655

7.876477

7.676408

7.474443

7.656972

7.439145

7.983079

7.770398

hep-th/9308031

Roberto Percacci

R. Percacci

The effective potential for the conformal factor in the standard model and beyond

7 pages, plain TEX, ITP and SISSA

null

hep-th

null

There is a general mechanism by which certain matter fields coupled to gravity can generate a nontrivial effective potential for the conformal factor of the metric. It is based on a nonstandard regularization method, with the cutoff being defined independently of the conformal factor. This mechanism produces a coupling of the matter fields to a dilaton, and a complicated interaction between matter, dilaton and metric. When it is applied to the standard model, it gives an effective potential which can be used to predict the top and Higgs masses. If the purely gravitational contribution to the potential is added, the mass of the dilaton is of the order of Planck's mass and the large hierarchy between the Planck and Fermi scales appears to be due to the smallness of the Higgs-dilaton coupling.

[ { "created": "Sat, 7 Aug 1993 11:08:00 GMT", "version": "v1" } ]

2007-05-23

[ [ "Percacci", "R.", "" ] ]

There is a general mechanism by which certain matter fields coupled to gravity can generate a nontrivial effective potential for the conformal factor of the metric. It is based on a nonstandard regularization method, with the cutoff being defined independently of the conformal factor. This mechanism produces a coupling of the matter fields to a dilaton, and a complicated interaction between matter, dilaton and metric. When it is applied to the standard model, it gives an effective potential which can be used to predict the top and Higgs masses. If the purely gravitational contribution to the potential is added, the mass of the dilaton is of the order of Planck's mass and the large hierarchy between the Planck and Fermi scales appears to be due to the smallness of the Higgs-dilaton coupling.

7.57247

7.196562

7.620266

6.976984

7.492855

6.898903

7.190181

7.260245

7.012872

7.535693

6.734307

6.897546

7.168446

6.84504

7.003243

6.893026

6.79336

6.695545

6.883369

7.23029

7.035621

1002.4498

Prithvi Narayan P

Prithvi Narayan and Sandip P. Trivedi

On The Stability Of Non-Supersymmetric AdS Vacua

50 pages, Minor changes in section 2.2.1

JHEP 1007:089,2010

10.1007/JHEP07(2010)089

TIFR/TH/10-05

hep-th

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

We consider two infinite families of Non-Supersymmetric $AdS_4$ vacua, called Type 2) and Type 3) vacua, that arise in massive IIA supergravity with flux. We show that both families are perturbatively stable. We then examine non-perturbative decays of these vacua to other supersymmetric and non-supersymmetric $AdS_4$ vacua mediated by instantons in the thin wall approximation. We find that many decays are ruled out since the tension of the interpolating domain wall is too big compared to the energy difference in AdS units. In fact, within our approximations no decays of Type 2) vacua are allowed, although some decays are only marginally forbidden. This can be understood in terms of a "pairing symmetry" in the landscape which relate Type 2) vacua with supersymmetric ones of the same energy.

[ { "created": "Wed, 24 Feb 2010 09:34:38 GMT", "version": "v1" }, { "created": "Fri, 2 Apr 2010 12:58:24 GMT", "version": "v2" }, { "created": "Mon, 24 May 2010 14:14:08 GMT", "version": "v3" } ]

2014-11-20

[ [ "Narayan", "Prithvi", "" ], [ "Trivedi", "Sandip P.", "" ] ]

We consider two infinite families of Non-Supersymmetric $AdS_4$ vacua, called Type 2) and Type 3) vacua, that arise in massive IIA supergravity with flux. We show that both families are perturbatively stable. We then examine non-perturbative decays of these vacua to other supersymmetric and non-supersymmetric $AdS_4$ vacua mediated by instantons in the thin wall approximation. We find that many decays are ruled out since the tension of the interpolating domain wall is too big compared to the energy difference in AdS units. In fact, within our approximations no decays of Type 2) vacua are allowed, although some decays are only marginally forbidden. This can be understood in terms of a "pairing symmetry" in the landscape which relate Type 2) vacua with supersymmetric ones of the same energy.

6.893477

7.056883

7.411543

6.532399

7.188668

6.827712

7.012266

6.598282

6.436363

7.176705

6.283578

6.408082

6.569829

6.464162

6.489126

6.561501

6.650374

6.493574

6.631076

6.521925

6.4679

hep-th/0111194

H. C. G. Caldas

H.C. de Godoy Caldas (FUNREI)

Dressing a Scalar Mass up to Two-Loop Order at Finite Temperature

20 pages, 4 ps figures, revtex, version published in Phys. Rev. D

Phys.Rev. D65 (2002) 065005

null

hep-th

null

In this paper we use Modified Self-Consistent Resummation (MSCR) in order to obtain the scalar dressed mass by evaluating the self-energy up to two loops in the neutral scalar $\lambda \phi^4$ model at finite temperature. With this laboratory model we show that, if a theory is renormalizable at zero temperature, using the MSCR it is always possible to obtain a finite corrected mass at finite temperature. This feature of the MSCR is not observed in some other approximation techniques usually found in the literature.

[ { "created": "Wed, 21 Nov 2001 19:32:32 GMT", "version": "v1" }, { "created": "Mon, 18 Feb 2002 22:59:12 GMT", "version": "v2" } ]

2007-05-23

[ [ "Caldas", "H. C. de Godoy", "", "FUNREI" ] ]

In this paper we use Modified Self-Consistent Resummation (MSCR) in order to obtain the scalar dressed mass by evaluating the self-energy up to two loops in the neutral scalar $\lambda \phi^4$ model at finite temperature. With this laboratory model we show that, if a theory is renormalizable at zero temperature, using the MSCR it is always possible to obtain a finite corrected mass at finite temperature. This feature of the MSCR is not observed in some other approximation techniques usually found in the literature.

10.819983

8.402883

9.676209

9.0844

9.456364

9.000436

10.208808

9.518647

8.926784

9.368237

9.238547

9.394005

10.150842

9.619566

9.207005

9.418376

9.222365

9.55875

9.450821

9.876965

8.986571

hep-th/0112086

Thomas Schwarzweller

Allen C. Hirshfeld (University of Dortmund, Germany), Thomas Schwarzweller (Universitiy of Dortmund, Germany)

The partition function of the linear Poisson-sigma model on arbitrary surfaces

14 pages (AmsTex)

null

hep-th

null

We perform the calculation of the partition function of the Poisson-sigma model on the world sheet with the topology of a two-dimensional disc. Considering the special case of a linear Poisson structure we recover the partition function of the Yang-Mills theory. Using a glueing procedure we are able to calculate the partition function for arbitrary base manifolds.

[ { "created": "Tue, 11 Dec 2001 13:10:33 GMT", "version": "v1" } ]

2007-05-23

[ [ "Hirshfeld", "Allen C.", "", "University of Dortmund, Germany" ], [ "Schwarzweller", "Thomas", "", "Universitiy of Dortmund, Germany" ] ]

We perform the calculation of the partition function of the Poisson-sigma model on the world sheet with the topology of a two-dimensional disc. Considering the special case of a linear Poisson structure we recover the partition function of the Yang-Mills theory. Using a glueing procedure we are able to calculate the partition function for arbitrary base manifolds.

8.310667

6.283273

8.281564

6.475594

7.160867

6.064972

6.105999

5.921084

6.097855

9.948114

6.488557

6.900957

8.919758

7.587156

7.439449

6.816863

7.128752

7.019702

7.408252

8.88757

6.645564

hep-th/9903119

Kazutaka Takahashi

K. Takahashi (Univ. of Tsukuba), S. Iida (Ryukoku Univ.)

Thouless energy in QCD and effects of diffusion modes on level correlations of Dirac operator

17 pages, section 4.3 removed, minor changes

Nucl.Phys. B573 (2000) 685-702

10.1016/S0550-3213(99)00782-8

null

hep-th hep-ph

null

The correlations of the QCD Dirac eigenvalues are studied with use of an extended chiral random matrix model. The inclusion of spatial dependence which the original model lacks enables us to investigate the effects of diffusion modes. We get analytical expressions of level correlation functions with non-universal behavior caused by diffusion modes which is characterized by Thouless energy. Pion mode is shown to be responsible for these diffusion effects when QCD vacuum is considered a disordered medium.

[ { "created": "Sun, 14 Mar 1999 15:44:08 GMT", "version": "v1" }, { "created": "Tue, 4 Apr 2000 09:07:10 GMT", "version": "v2" } ]

2009-10-31

[ [ "Takahashi", "K.", "", "Univ. of Tsukuba" ], [ "Iida", "S.", "", "Ryukoku Univ." ] ]

The correlations of the QCD Dirac eigenvalues are studied with use of an extended chiral random matrix model. The inclusion of spatial dependence which the original model lacks enables us to investigate the effects of diffusion modes. We get analytical expressions of level correlation functions with non-universal behavior caused by diffusion modes which is characterized by Thouless energy. Pion mode is shown to be responsible for these diffusion effects when QCD vacuum is considered a disordered medium.

20.060791

22.435699

19.217152

18.43087

20.730297

21.480492

17.858416

20.22266

18.74921

21.159863

18.392021

19.044596

18.12973

18.594376

18.589178

17.941555

17.692402

17.572638

19.044918

18.840651

18.4384

2301.00953

Minhajul Islam

Carrollian Yang-Mills Theory

38 pages, 4 figures

null

10.1007/JHEP05(2023)238

null

hep-th

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

By doing a small $c$ (speed of light) expansion of $SU(N)$ Yang-Mills fields, we construct two different electric and two different magnetic sectors actions of Carrollian Yang-Mills theory. For both electric and magnetic cases, one sector contains non-trivial self-interaction, and another is $N^2-1$ copies of respective sector Carrollian abelian theory. In $d=4$ , all the four sectors are invariant under infinite Carrollian Conformal symmetry. There are no central extensions when analyzing charge algebra at the phase space level. Lastly, we compute propagators for all four sectors and vertices for two non-trivial sectors. Propagators in position space show ultra-local behavior.

[ { "created": "Tue, 3 Jan 2023 05:29:48 GMT", "version": "v1" } ]

2023-06-14

[ [ "Islam", "Minhajul", "" ] ]

By doing a small $c$ (speed of light) expansion of $SU(N)$ Yang-Mills fields, we construct two different electric and two different magnetic sectors actions of Carrollian Yang-Mills theory. For both electric and magnetic cases, one sector contains non-trivial self-interaction, and another is $N^2-1$ copies of respective sector Carrollian abelian theory. In $d=4$ , all the four sectors are invariant under infinite Carrollian Conformal symmetry. There are no central extensions when analyzing charge algebra at the phase space level. Lastly, we compute propagators for all four sectors and vertices for two non-trivial sectors. Propagators in position space show ultra-local behavior.

17.305105

15.530617

16.558668

13.798958

15.234058

16.796837

15.314402

15.004841

15.119958

17.41078

16.141699

15.874624

15.397388

14.877618

14.615843

15.333794

15.226778

15.043262

15.438742

15.351807

15.706068

hep-th/9805134

Tomohiro Matsuda

On Superpotential and BPS domain wall in SQCD and MQCD

16 pages, Latex, reviews extended

null

TIT/HEP-394

hep-th hep-ph

null

We examine the decoupling properties of the N=2 SQCD vacua when the adjoint mass term is turned on and then the N=1 limit is taken. The BPS domain wall tension in N=1 MQCD and SQCD is also examined. The correspondence of the MQCD integrals with the superpotential and the gaugino condensate is shown.

[ { "created": "Thu, 21 May 1998 04:07:22 GMT", "version": "v1" }, { "created": "Mon, 8 Feb 1999 05:34:48 GMT", "version": "v2" } ]

2007-05-23

[ [ "Matsuda", "Tomohiro", "" ] ]

We examine the decoupling properties of the N=2 SQCD vacua when the adjoint mass term is turned on and then the N=1 limit is taken. The BPS domain wall tension in N=1 MQCD and SQCD is also examined. The correspondence of the MQCD integrals with the superpotential and the gaugino condensate is shown.

10.579233

10.164151

10.270203

9.765801

9.801915

11.293422

9.922585

9.548972

9.586579

10.65748

9.81714

10.643483

10.488437

10.205354

9.719937

9.976118

10.141229

9.880187

10.109943

10.245121

9.839448

1004.0877

Yi Pang

Miao Li and Yi Pang

A No-go Theorem Prohibiting Inflation in the Entropic Force Scenario

8 pages, references added

Phys.Rev.D82:027501,2010

10.1103/PhysRevD.82.027501

CAS-KITPC/ITP-186

hep-th gr-qc physics.gen-ph

http://creativecommons.org/licenses/publicdomain/

We show that to accommodate inflation in the entropic force scenario of Verlinde, it is necessary to introduce a negative temperature on a holographic screen, this will introduce several puzzles such as energy non-conservation. If one tries to modify the derivation of the Einstein equations to avoid a negative temperature, we prove that it is impossible to find a proper new definition of temperature to derive the Einstein equations.

[ { "created": "Tue, 6 Apr 2010 15:41:06 GMT", "version": "v1" }, { "created": "Mon, 12 Apr 2010 08:23:15 GMT", "version": "v2" }, { "created": "Thu, 8 Jul 2010 00:54:45 GMT", "version": "v3" } ]

2010-07-09

[ [ "Li", "Miao", "" ], [ "Pang", "Yi", "" ] ]

We show that to accommodate inflation in the entropic force scenario of Verlinde, it is necessary to introduce a negative temperature on a holographic screen, this will introduce several puzzles such as energy non-conservation. If one tries to modify the derivation of the Einstein equations to avoid a negative temperature, we prove that it is impossible to find a proper new definition of temperature to derive the Einstein equations.

14.346072

14.0079

13.802198

13.115455

12.970131

13.706411

12.268124

12.151792

12.848869

14.461828

11.520361

12.6855

12.710983

12.64011

13.27117

13.096447

12.680315

12.594796

13.355981

12.69474

12.178388

1212.3136

Dong-han Yeom

Euclidean quantum gravity and stochastic approach: Physical reality of complex-valued instantons

4 pages, 1 figure; A proceeding for the Multiverse and Fundamental Cosmology Conference (Multicosmofun'12). Talk on September 10, 2012, Szczecin, Poland

AIP Conf.Proc.1514 (2013) 89-92

10.1063/1.4791732

null

hep-th gr-qc

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

In this talk, we compare two states: the stationary state in stochastic inflation and the ground state wave function of the universe. We already know that, for the potential with a static field, two pictures give the same probability distribution. Here, we go beyond this limit and assert that two pictures indeed have deeper relations. We illustrate a simple example so that there is a corresponding instanton if a certain field value has a non-zero probability in the statistical side. This instanton should be complex-valued. Furthermore, the compact manifold in the Euclidean side can be interpreted as a coarse-graining grid size in the stochastic universe. Finally, we summarize the recent status and possible applications.

[ { "created": "Thu, 13 Dec 2012 11:45:08 GMT", "version": "v1" } ]

2015-06-12

[ [ "Yeom", "Dong-han", "" ] ]

In this talk, we compare two states: the stationary state in stochastic inflation and the ground state wave function of the universe. We already know that, for the potential with a static field, two pictures give the same probability distribution. Here, we go beyond this limit and assert that two pictures indeed have deeper relations. We illustrate a simple example so that there is a corresponding instanton if a certain field value has a non-zero probability in the statistical side. This instanton should be complex-valued. Furthermore, the compact manifold in the Euclidean side can be interpreted as a coarse-graining grid size in the stochastic universe. Finally, we summarize the recent status and possible applications.

19.780203

19.902927

19.304207

17.781054

20.24824

19.765881

20.696503

18.610245

18.273493

20.838541

17.957506

18.48867

18.317924

18.362347

17.779037

18.373966

18.725027

18.656208

18.584618

18.318933

18.477417

hep-th/0407140

Radu Roiban

Radu Roiban, Anastasia Volovich

Yang-Mills Correlation Functions from Integrable Spin Chains

27 pages, 3 figures, harvmac

JHEP 0409:032,2004

10.1088/1126-6708/2004/09/032

null

hep-th

null

The relation between the dilatation operator of N=4 Yang-Mills theory and integrable spin chains makes it possible to compute the one-loop anomalous dimensions of all operators in the theory. In this paper we show how to apply the technology of integrable spin chains to the calculation of Yang-Mills correlation functions by expressing them in terms of matrix elements of spin operators on the corresponding spin chain. We illustrate this method with several examples in the SU(2) sector described by the XXX_1/2 chain.

[ { "created": "Fri, 16 Jul 2004 16:24:17 GMT", "version": "v1" } ]

2010-02-03

[ [ "Roiban", "Radu", "" ], [ "Volovich", "Anastasia", "" ] ]

The relation between the dilatation operator of N=4 Yang-Mills theory and integrable spin chains makes it possible to compute the one-loop anomalous dimensions of all operators in the theory. In this paper we show how to apply the technology of integrable spin chains to the calculation of Yang-Mills correlation functions by expressing them in terms of matrix elements of spin operators on the corresponding spin chain. We illustrate this method with several examples in the SU(2) sector described by the XXX_1/2 chain.

4.689842

4.620105

5.454576

4.290036

4.47994

4.247735

4.165181

4.452159

4.351101

5.376909

4.542031

4.176507

4.577931

4.234865

4.080861

4.122655

4.132282

4.293162

4.217766

4.395578

4.189292

0705.2347

Sean McReynolds

Five-dimensional vector-coupled supergravity on a manifold with boundary

18 pages

Mod.Phys.Lett.A22:2247-2263,2007

10.1142/S0217732307024292

null

hep-th

null

We consider the bosonic and fermionic symmetries of five-dimensional Maxwell- and Yang-Mills-Einstein supergravity theories on a spacetime with boundaries (isomorphic to M x S1/Z2). Due to the appearance of the "Chern-Simons" term, the classical action is not generally invariant under gauge and supersymmetries. Once bulk vector fields are allowed to propagate on the boundaries, there is an "inflow" governed by the rank-3 symmetric tensor that defines the five-dimensional theories. We discuss the requirements that invariance of the action imposes on new matter content and boundary conditions.

[ { "created": "Wed, 16 May 2007 14:06:15 GMT", "version": "v1" } ]

2008-11-26

[ [ "McReynolds", "Sean", "" ] ]

We consider the bosonic and fermionic symmetries of five-dimensional Maxwell- and Yang-Mills-Einstein supergravity theories on a spacetime with boundaries (isomorphic to M x S1/Z2). Due to the appearance of the "Chern-Simons" term, the classical action is not generally invariant under gauge and supersymmetries. Once bulk vector fields are allowed to propagate on the boundaries, there is an "inflow" governed by the rank-3 symmetric tensor that defines the five-dimensional theories. We discuss the requirements that invariance of the action imposes on new matter content and boundary conditions.

12.510997

12.487588

13.619524

11.705582

12.655403

10.935546

11.574048

11.798948

10.998534

14.127076

11.565883

11.739756

11.91932

11.859707

11.37019

11.508108

11.728128

12.160243

11.816591

12.360478

11.643479

0906.1377

Mikhail Bershtein

O. Alekseev, M. Bershtein

Ring of physical states in the M(2,3) Minimal Liouville gravity

16 pages Revised version with updates. The arguments in section 4 have been improved

Theor.Math.Phys.164:929-946,2010; Teor.Mat.Fiz.164:119-140,2010

10.1007/s11232-010-0074-7

null

hep-th math.QA

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

We consider the M(2,3) Minimal Liouville gravity, whose states in the gravity sector are represented by irreducible modules of the Virasoro algebra. We present a recursive construction for BRST cohomology classes. This construction is based on using an explicit form of singular vectors in irreducible modules of the Virasoro algebra. We construct an algebra of operators acting on the BRST cohomology space. The operator algebra of physical states is established by use of these operators.

[ { "created": "Mon, 8 Jun 2009 18:05:51 GMT", "version": "v1" }, { "created": "Mon, 26 Oct 2009 20:43:14 GMT", "version": "v2" } ]

2014-11-20

[ [ "Alekseev", "O.", "" ], [ "Bershtein", "M.", "" ] ]

We consider the M(2,3) Minimal Liouville gravity, whose states in the gravity sector are represented by irreducible modules of the Virasoro algebra. We present a recursive construction for BRST cohomology classes. This construction is based on using an explicit form of singular vectors in irreducible modules of the Virasoro algebra. We construct an algebra of operators acting on the BRST cohomology space. The operator algebra of physical states is established by use of these operators.

8.801188

8.097762

10.497746

8.006419

9.340426

8.732782

7.916972

8.18492

8.361846

9.38657

8.119775

8.498813

8.769283

8.571492

8.693544

8.367731

8.749352

8.736507

8.478338

8.68947

8.390517

1609.09702

Nikolay Kozyrev

Nikolay Kozyrev and Sergey Krivonos

N=4, d=3 Born-Infeld theory in component approach

10 pages. Based on talk given by N. K. on International Conference on Integrable Systems and Quantum Symmetries (ISQS24). Version to appear in ISQS24 proceedings

null

10.1088/1742-6596/804/1/012024

null

hep-th

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

Using the formalism of nonlinear realizations we construct the component on-shell action of the N=4,d=3 Born-Infeld theory, which is the action of N=2, d=3 vector supermultiplet, fixed by invariance with respect to the additional spontaneously broken N=2, d=3 supersymmetry. Our construction shows that dealing with the systems with partial breaking of supersymmetry with vector fields in the multiplet, it is preferrable to use their formulation in terms of fermionic superfields only.

[ { "created": "Fri, 30 Sep 2016 12:46:31 GMT", "version": "v1" } ]

2017-04-26

[ [ "Kozyrev", "Nikolay", "" ], [ "Krivonos", "Sergey", "" ] ]

Using the formalism of nonlinear realizations we construct the component on-shell action of the N=4,d=3 Born-Infeld theory, which is the action of N=2, d=3 vector supermultiplet, fixed by invariance with respect to the additional spontaneously broken N=2, d=3 supersymmetry. Our construction shows that dealing with the systems with partial breaking of supersymmetry with vector fields in the multiplet, it is preferrable to use their formulation in terms of fermionic superfields only.

10.549361

8.621423

11.591468

8.519685

8.333868

8.847543

8.924416

8.468714

7.937219

13.513633

8.438134

9.101449

10.633864

9.432916

9.333917

9.197033

9.050802

9.197675

9.311792

10.727744

8.977579

1704.07464

Maciej Dunajski

Michael Atiyah, Maciej Dunajski, Lionel Mason

Twistor theory at fifty: from contour integrals to twistor strings

Minor corrections, and additional references. Final version, to appear in the Proceedings of the Royal Society A. 49 pages, 6 Figures. Dedicated to Roger Penrose and Nick Woodhouse at 85 and 67 years

null

10.1098/rspa.2017.0530

DAMTP-2017-17

hep-th gr-qc math.DG nlin.SI

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

We review aspects of twistor theory, its aims and achievements spanning thelast five decades. In the twistor approach, space--time is secondary with events being derived objects that correspond to compact holomorphic curves in a complex three--fold -- the twistor space. After giving an elementary construction of this space we demonstrate how solutions to linear and nonlinear equations of mathematical physics: anti-self-duality (ASD) equations on Yang--Mills, or conformal curvature can be encoded into twistor cohomology. These twistor correspondences yield explicit examples of Yang--Mills, and gravitational instantons which we review. They also underlie the twistor approach to integrability: the solitonic systems arise as symmetry reductions of ASD Yang--Mills equations, and Einstein--Weyl dispersionless systems are reductions of ASD conformal equations. We then review the holomorphic string theories in twistor and ambitwistor spaces, and explain how these theories give rise to remarkable new formulae for the computation of quantum scattering amplitudes. Finally we discuss the Newtonian limit of twistor theory, and its possible role in Penrose's proposal for a role of gravity in quantum collapse of a wave function.

[ { "created": "Mon, 24 Apr 2017 20:59:58 GMT", "version": "v1" }, { "created": "Fri, 8 Sep 2017 12:50:08 GMT", "version": "v2" } ]

2017-11-01

[ [ "Atiyah", "Michael", "" ], [ "Dunajski", "Maciej", "" ], [ "Mason", "Lionel", "" ] ]

We review aspects of twistor theory, its aims and achievements spanning thelast five decades. In the twistor approach, space--time is secondary with events being derived objects that correspond to compact holomorphic curves in a complex three--fold -- the twistor space. After giving an elementary construction of this space we demonstrate how solutions to linear and nonlinear equations of mathematical physics: anti-self-duality (ASD) equations on Yang--Mills, or conformal curvature can be encoded into twistor cohomology. These twistor correspondences yield explicit examples of Yang--Mills, and gravitational instantons which we review. They also underlie the twistor approach to integrability: the solitonic systems arise as symmetry reductions of ASD Yang--Mills equations, and Einstein--Weyl dispersionless systems are reductions of ASD conformal equations. We then review the holomorphic string theories in twistor and ambitwistor spaces, and explain how these theories give rise to remarkable new formulae for the computation of quantum scattering amplitudes. Finally we discuss the Newtonian limit of twistor theory, and its possible role in Penrose's proposal for a role of gravity in quantum collapse of a wave function.

9.198096

10.543422

11.63923

10.579163

10.843348

11.355734

11.325395

10.503178

10.579412

12.732451

10.50799

10.07865

10.032038

9.714836

9.767664

9.922883

9.673494

9.513221

9.584629

9.705706

9.641637

1505.02270

Calin Iuliu Lazaroiu

Elena Mirela Babalic, Calin Iuliu Lazaroiu

The landscape of G-structures in eight-manifold compactifications of M-theory

68 pages

JHEP11 (2015) 007

null

hep-th

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

We consider spaces of "virtual" constrained generalized Killing spinors, i.e. spaces of Majorana spinors which correspond to "off-shell" $s$-extended supersymmetry in compactifications of eleven-dimensional supergravity based on eight-manifolds $M$. Such spaces naturally induce two stratifications of $M$, called the chirality and stabilizer stratification. For the case $s=2$, we describe the former using the canonical Whitney stratification of a three-dimensional semi-algebraic set ${\cal R}$. We also show that the stabilizer stratification coincides with the rank stratification of a cosmooth generalized distribution ${\cal D}_0$ and describe it explicitly using the Whitney stratification of a four-dimensional semi-algebraic set $\mathfrak{P}$. The stabilizer groups along the strata are isomorphic with $\mathrm{SU}(2)$, $\mathrm{SU}(3)$, $\mathrm{G}_2$ or $\mathrm{SU}(4)$, where $\mathrm{SU(2)}$ corresponds to the open stratum, which is generically non-empty. We also determine the rank stratification of a larger generalized distribution ${\cal D}$ which turns out to be integrable in the case of compactifications down to $\mathrm{AdS}_3$.

[ { "created": "Sat, 9 May 2015 13:33:16 GMT", "version": "v1" } ]

2015-11-11

[ [ "Babalic", "Elena Mirela", "" ], [ "Lazaroiu", "Calin Iuliu", "" ] ]

We consider spaces of "virtual" constrained generalized Killing spinors, i.e. spaces of Majorana spinors which correspond to "off-shell" $s$-extended supersymmetry in compactifications of eleven-dimensional supergravity based on eight-manifolds $M$. Such spaces naturally induce two stratifications of $M$, called the chirality and stabilizer stratification. For the case $s=2$, we describe the former using the canonical Whitney stratification of a three-dimensional semi-algebraic set ${\cal R}$. We also show that the stabilizer stratification coincides with the rank stratification of a cosmooth generalized distribution ${\cal D}_0$ and describe it explicitly using the Whitney stratification of a four-dimensional semi-algebraic set $\mathfrak{P}$. The stabilizer groups along the strata are isomorphic with $\mathrm{SU}(2)$, $\mathrm{SU}(3)$, $\mathrm{G}_2$ or $\mathrm{SU}(4)$, where $\mathrm{SU(2)}$ corresponds to the open stratum, which is generically non-empty. We also determine the rank stratification of a larger generalized distribution ${\cal D}$ which turns out to be integrable in the case of compactifications down to $\mathrm{AdS}_3$.

7.621349

7.957644

8.434962

7.839335

8.405664

8.05162

7.70656

7.833979

7.680646

9.283617

7.386047

7.588139

8.056098

7.544539

7.491263

7.653994

7.677613

7.521222

7.591883

7.97534

7.32979

hep-th/0512066

Valerio Bozza

V. Bozza

General solution for scalar perturbations in bouncing cosmologies

24 pages, 2 figures

JCAP0602:009,2006

10.1088/1475-7516/2006/02/009

null

hep-th gr-qc

null

Bouncing cosmologies, suggested by String/M-theory, may provide an alternative to standard inflation to account for the origin of inhomogeneities in our universe. The fundamental question regards the correct way to evolve the scalar perturbations through the bounce. In this work, we determine the evolution of perturbations and the final spectrum for an arbitrary (spatially flat) bouncing cosmology, with the only assumption that the bounce is governed by a single physical scale. In particular, we find that the spectrum of the pre-bounce growing mode of the Bardeen potential (which is scale-invariant in some limit, and thus compatible with observations) survives unaltered in the post-bounce only if the comoving pressure perturbation is directly proportional to the Bardeen potential rather than its Laplacian, as for any known form of ordinary matter. If some new physics acting at the bounce justifies such relation, then bouncing cosmologies are entitled to become a real viable alternative for the generation of the observed inhomogeneities. Our treatment also includes some class of models with extra-dimensions, whereas we show that bounces induced by positive spatial curvature are structurally different from all bounces in spatially flat universes, requiring a distinct analysis.

[ { "created": "Tue, 6 Dec 2005 10:31:44 GMT", "version": "v1" } ]

2009-11-11

[ [ "Bozza", "V.", "" ] ]

Bouncing cosmologies, suggested by String/M-theory, may provide an alternative to standard inflation to account for the origin of inhomogeneities in our universe. The fundamental question regards the correct way to evolve the scalar perturbations through the bounce. In this work, we determine the evolution of perturbations and the final spectrum for an arbitrary (spatially flat) bouncing cosmology, with the only assumption that the bounce is governed by a single physical scale. In particular, we find that the spectrum of the pre-bounce growing mode of the Bardeen potential (which is scale-invariant in some limit, and thus compatible with observations) survives unaltered in the post-bounce only if the comoving pressure perturbation is directly proportional to the Bardeen potential rather than its Laplacian, as for any known form of ordinary matter. If some new physics acting at the bounce justifies such relation, then bouncing cosmologies are entitled to become a real viable alternative for the generation of the observed inhomogeneities. Our treatment also includes some class of models with extra-dimensions, whereas we show that bounces induced by positive spatial curvature are structurally different from all bounces in spatially flat universes, requiring a distinct analysis.

9.988612

10.596752

10.15167

9.75991

10.740442

10.690443

10.965074

10.145274

10.062854

10.961602

9.763917

9.289892

9.551383

9.274856

9.602149

9.41849

9.947953

9.307838

9.34258

9.739822

9.419581

hep-th/0008175

Verena Schoen

Verena Schoen, Michael Thies

2d Model Field Theories at Finite Temperature and Density

90 pages, 27 figures, Contribution to the Festschrift in honor of Boris Ioffe, edited by M. Shifman

null

10.1142/9789812810458_0041

FAU-TP3-00/9

hep-th hep-ph

null

In certain 1+1 dimensional field theoretic toy models, one can go all the way from microscopic quarks via the hadron spectrum to the properties of hot and dense baryonic matter in an essentially analytic way. This "miracle" is illustrated through case studies of two popular large N models, the Gross-Neveu and the 't Hooft model - caricatures of the Nambu-Jona-Lasinio model and real QCD, respectively. The main emphasis will be on aspects related to spontaneous symmetry breaking (discrete or continuous chiral symmetry, translational invariance) and confinement.

[ { "created": "Tue, 22 Aug 2000 15:49:59 GMT", "version": "v1" } ]

2016-11-23

[ [ "Schoen", "Verena", "" ], [ "Thies", "Michael", "" ] ]

In certain 1+1 dimensional field theoretic toy models, one can go all the way from microscopic quarks via the hadron spectrum to the properties of hot and dense baryonic matter in an essentially analytic way. This "miracle" is illustrated through case studies of two popular large N models, the Gross-Neveu and the 't Hooft model - caricatures of the Nambu-Jona-Lasinio model and real QCD, respectively. The main emphasis will be on aspects related to spontaneous symmetry breaking (discrete or continuous chiral symmetry, translational invariance) and confinement.

8.713785

8.479882

9.439771

8.291293

9.24203

8.9855

9.017346

8.568572

8.386801

9.291914

8.495146

8.338598

8.629491

8.507236

8.662953

8.301617

8.481812

8.362588

8.428265

8.864128

8.138708

hep-th/0105219

Bruno Carneiro da Cunha

Inflation and Holography in String Theory

15 pages, LaTeX, 2 figures. Uses psbox.tex

Phys.Rev. D65 (2002) 026001

10.1103/PhysRevD.65.026001

null

hep-th gr-qc

null

The encoding of an inflating patch of space-time in terms of a dual theory is discussed. Following Bousso's interpretation of the holographic principle, we find that those are generically described not by states in the dual theory but by density matrices. We try to implement this idea on simple deformations of the AdS/CFT examples, and an argument is given as to why inflation is so elusive to string theory.

[ { "created": "Tue, 22 May 2001 22:27:46 GMT", "version": "v1" } ]

2009-11-07

[ [ "da Cunha", "Bruno Carneiro", "" ] ]

The encoding of an inflating patch of space-time in terms of a dual theory is discussed. Following Bousso's interpretation of the holographic principle, we find that those are generically described not by states in the dual theory but by density matrices. We try to implement this idea on simple deformations of the AdS/CFT examples, and an argument is given as to why inflation is so elusive to string theory.

17.857845

15.375521

13.702847

13.332848

13.845842

14.508094

13.870826

12.958713

13.693496

14.824341

13.543914

13.378478

13.785583

13.324893

14.137618

13.696686

14.163486

13.287192

13.973413

13.685669

14.226787

1603.04793

Paulo Michel L. T. Da Silva PMlts

Paulo Michel L. T. da Silva and Julio Marny Hoff da Silva

f(R)-Einstein-Palatini Formalism and smooth branes

9 pages

null

hep-th gr-qc

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

In this work, we present the f(R)-Einstein-Palatini formalism in arbitrary dimensions and the study of consistency applied to brane models, the so-called braneworld sum rules. We show that it is possible a scenario of thick branes in five dimensions with compact extra dimension in the framework of the f(R)-Einstein-Palatini theory by the accomplishment of an assertive criteria.

[ { "created": "Tue, 15 Mar 2016 18:13:17 GMT", "version": "v1" } ]

2016-03-16

[ [ "da Silva", "Paulo Michel L. T.", "" ], [ "da Silva", "Julio Marny Hoff", "" ] ]

In this work, we present the f(R)-Einstein-Palatini formalism in arbitrary dimensions and the study of consistency applied to brane models, the so-called braneworld sum rules. We show that it is possible a scenario of thick branes in five dimensions with compact extra dimension in the framework of the f(R)-Einstein-Palatini theory by the accomplishment of an assertive criteria.

17.585102

15.263307

16.431591

15.615467

14.761379

15.65126

15.107178

14.08288

16.553814

17.151794

13.654211

14.805737

16.180483

15.908257

15.344491

15.072765

15.384731

15.598634

15.453653

16.219099

15.101749

hep-th/9704099

Andrew Chamblin

Andrew Chamblin (DAMTP, Cambridge U.)

On the superselection sectors of fermions

15 pages LaTeX, minor typos and LaTeX error corrected. A new section on pinors and M-theory has been added. This is more or less the version to appear in the editorial volume ``Photon and Poincare Group'', ed. V. Dvoeglazov, Nova Science Pub., New York, NY

null

DAMTP-R-97-14

hep-th

null

We classify elementary particles according to their behaviour under the action of the full inhomogeneous Lorentz group. For fundamental fermions, this approach leads us to delineate fermions into eight basic families or `types', corresponding to the eight simply connected double covering groups of the inhomogeneous Lorentz group (the `pin' groups). Given this classification, it is natural to ask whether or not fermion type determines a superselection rule. It is also important to determine what observable effects fermion type might have; for example, can the type of a given fermion be determined by laboratory experiments? We address these questions by arguing that if multiple fermion types really did occur in nature, then it would be mathematically equivalent and also much simpler to think of the different types as being different states of a {\it single} particle, which would be a particle which lived in the direct sum of Hilbert spaces associated with the different particle types. In the language of group theory, these are pinor supermultiplets. We discuss the possible experimental ramifications of this proposal. In particular, following work of J. Giesen, we show that the symmetries of the electric dipole moment of a particle would be definitely affected by this proposal. In fact, we show that it would be possible to use the electric dipole moment of a particle to determine the type. We also present an argument that M-theory may provide the mechanism which selects a {\it unique} pin bundle.

[ { "created": "Mon, 14 Apr 1997 00:22:49 GMT", "version": "v1" }, { "created": "Sun, 20 Dec 1998 19:48:07 GMT", "version": "v2" } ]

2008-02-03

[ [ "Chamblin", "Andrew", "", "DAMTP, Cambridge U." ] ]

We classify elementary particles according to their behaviour under the action of the full inhomogeneous Lorentz group. For fundamental fermions, this approach leads us to delineate fermions into eight basic families or `types', corresponding to the eight simply connected double covering groups of the inhomogeneous Lorentz group (the `pin' groups). Given this classification, it is natural to ask whether or not fermion type determines a superselection rule. It is also important to determine what observable effects fermion type might have; for example, can the type of a given fermion be determined by laboratory experiments? We address these questions by arguing that if multiple fermion types really did occur in nature, then it would be mathematically equivalent and also much simpler to think of the different types as being different states of a {\it single} particle, which would be a particle which lived in the direct sum of Hilbert spaces associated with the different particle types. In the language of group theory, these are pinor supermultiplets. We discuss the possible experimental ramifications of this proposal. In particular, following work of J. Giesen, we show that the symmetries of the electric dipole moment of a particle would be definitely affected by this proposal. In fact, we show that it would be possible to use the electric dipole moment of a particle to determine the type. We also present an argument that M-theory may provide the mechanism which selects a {\it unique} pin bundle.

9.120077

10.50305

9.363702

8.983274

9.91086

9.643089

9.728001

9.157125

9.204364

10.174569

8.957876

8.842676

8.836022

8.647316

8.849184

8.897374

9.043539

8.802479

8.775203

9.028778

8.768145

hep-th/9503232

Sergei Ketov

Sergei Ketov and Olaf Lechtenfeld (ITP, University of Hanover)

The String Measure and Spectral Flow of Critical N=2 Strings

14 pages, LaTeX, macros included

Phys.Lett. B353 (1995) 463-470

10.1016/0370-2693(95)00612-O

ITP-UH-13/95

hep-th

null

The general structure of N=2 moduli space at arbitrary genus and instanton number is investigated. The N=2 NSR string measure is calculated, yielding picture- and U(1) ghost number-changing operator insertions. An explicit formula for the spectral flow operator acting on vertex operators is given, and its effect on N=2 string amplitudes is discussed.

[ { "created": "Sat, 1 Apr 1995 11:13:49 GMT", "version": "v1" } ]

2009-10-28

[ [ "Ketov", "Sergei", "", "ITP, University of Hanover" ], [ "Lechtenfeld", "Olaf", "", "ITP, University of Hanover" ] ]

The general structure of N=2 moduli space at arbitrary genus and instanton number is investigated. The N=2 NSR string measure is calculated, yielding picture- and U(1) ghost number-changing operator insertions. An explicit formula for the spectral flow operator acting on vertex operators is given, and its effect on N=2 string amplitudes is discussed.

14.416098

11.928057

17.412827

11.962597

11.77903

10.826913

12.317868

10.594448

12.430938

20.014072

11.204597

13.192123

14.00891

12.87124

11.918303

12.178214

11.933088

12.897215

12.811442

14.714276

12.853462

hep-th/0604023

Dori Reichmann

Micha Berkooz, Dori Reichmann, and Joan Simon

A Fermi Surface Model for Large Supersymmetric AdS_5 Black Holes

32 pages, 6 figures, LaTeX uses JHEP3 class; ver 2- added acknowledgment, minor changes

JHEP 0701:048,2007

10.1088/1126-6708/2007/01/048

UPR-1149-T, WIS/04/06-APR-DPP

hep-th

null

We identify a large family of 1/16 BPS operators in N=4 SYM that qualitatively reproduce the relations between charge, angular momentum and entropy in regular supersymmetric AdS_5 black holes when the main contribution to their masses is given by their angular momentum.

[ { "created": "Tue, 4 Apr 2006 16:26:08 GMT", "version": "v1" }, { "created": "Thu, 31 Aug 2006 15:37:32 GMT", "version": "v2" } ]

2010-10-27

[ [ "Berkooz", "Micha", "" ], [ "Reichmann", "Dori", "" ], [ "Simon", "Joan", "" ] ]

We identify a large family of 1/16 BPS operators in N=4 SYM that qualitatively reproduce the relations between charge, angular momentum and entropy in regular supersymmetric AdS_5 black holes when the main contribution to their masses is given by their angular momentum.

13.512897

11.483721

14.172805

9.801856

11.793628

10.650512

10.374953

9.689033

10.402658

14.339353

11.374325

11.379764

13.520223

10.84665

10.730428

10.907972

11.027378

10.61369

10.93788

12.718656

10.621837

hep-th/0409131

Vyacheslav Rychkov

Steven B. Giddings, Vyacheslav S. Rychkov

Black Holes from Colliding Wavepackets

6 pages

Phys.Rev. D70 (2004) 104026

10.1103/PhysRevD.70.104026

ITFA-2004-39

hep-th gr-qc hep-ph

null

Arguments for black hole formation in collisions of high-energy particles have rested on the emergence of a closed trapped surface in the classical geometry of two colliding Aichelburg-Sexl solutions. Recent analysis has, however, shown that curvatures and quantum fluctuations are large on this apparent horizon, potentially invalidating a semiclassical analysis. We show that this problem is an artifact of the unphysical classical point-particle limit: for a particle described by a quantum wavepacket, or for a continuous matter distribution, trapped surfaces indeed form in a controlled regime.

[ { "created": "Mon, 13 Sep 2004 20:00:49 GMT", "version": "v1" } ]

2009-11-10

[ [ "Giddings", "Steven B.", "" ], [ "Rychkov", "Vyacheslav S.", "" ] ]

Arguments for black hole formation in collisions of high-energy particles have rested on the emergence of a closed trapped surface in the classical geometry of two colliding Aichelburg-Sexl solutions. Recent analysis has, however, shown that curvatures and quantum fluctuations are large on this apparent horizon, potentially invalidating a semiclassical analysis. We show that this problem is an artifact of the unphysical classical point-particle limit: for a particle described by a quantum wavepacket, or for a continuous matter distribution, trapped surfaces indeed form in a controlled regime.

11.448251

11.914581

10.931685

10.451146

11.207976

11.065015

11.288774

10.709595

10.726138

11.997053

10.385939

10.347923

10.512365

10.341518

10.512373

10.323588

10.509865

10.236012

10.091232

10.553275

10.3111

hep-th/9801039

Pysv

B. de Wit, B. Kleijn and S. Vandoren

Special Geometry and Compactification on a Circle

7pp, Latex, misprint corrected

Fortsch.Phys.47:317-323,1999

10.1002/(SICI)1521-3978(199901)47:1/3<317::AID-PROP317>3.0.CO;2-O

null

hep-th

null

We discuss some consequences of our previous work on rigid special geometry in hypermultiplets in 4-dimensional Minkowski spacetime for supersymmetric gauge dynamics when one of the spatial dimensions is compactified on a circle.

[ { "created": "Thu, 8 Jan 1998 12:33:26 GMT", "version": "v1" }, { "created": "Fri, 16 Jan 1998 19:38:49 GMT", "version": "v2" } ]

2015-06-26

[ [ "de Wit", "B.", "" ], [ "Kleijn", "B.", "" ], [ "Vandoren", "S.", "" ] ]

We discuss some consequences of our previous work on rigid special geometry in hypermultiplets in 4-dimensional Minkowski spacetime for supersymmetric gauge dynamics when one of the spatial dimensions is compactified on a circle.

16.857006

11.391253

14.067954

11.222293

11.090275

12.323186

13.263613

10.122247

11.366401

13.692621

11.704357

12.402414

14.86309

12.520411

11.826253

12.29071

11.538113

12.676173

12.852503

14.293115

12.181557

hep-th/9810020

Alex Friedland

Andre de Gouvea, Alexander Friedland, and Hitoshi Murayama (UC Berkeley, LBNL)

Seiberg Duality and e+ e- Experiments

24 pages, 2 figures, uses psfig

Phys.Rev.D59:105008,1999

10.1103/PhysRevD.59.105008

LBNL-42246, UCB-PTH-98/45

hep-th hep-ph

null

Seiberg duality in supersymmetric gauge theories is the claim that two different theories describe the same physics in the infrared limit. However, one cannot easily work out physical quantities in strongly coupled theories and hence it has been difficult to compare the physics of the electric and magnetic theories. In order to gain more insight into the equivalence of two theories, we study the ``e+ e-'' cross sections into ``hadrons'' for both theories in the superconformal window. We describe a technique which allows us to compute the cross sections exactly in the infrared limit. They are indeed equal in the low-energy limit and the equality is guaranteed because of the anomaly matching condition. The ultraviolet behavior of the total ``e+ e-'' cross section is different for the two theories. We comment on proposed non-supersymmetric dualities. We also analyze the agreement of the ``\gamma\gamma'' and ``WW'' scattering amplitudes in both theories, and in particular try to understand if their equivalence can be explained by the anomaly matching condition.

[ { "created": "Fri, 2 Oct 1998 19:49:47 GMT", "version": "v1" } ]

2009-09-29

[ [ "de Gouvea", "Andre", "", "UC\n Berkeley, LBNL" ], [ "Friedland", "Alexander", "", "UC\n Berkeley, LBNL" ], [ "Murayama", "Hitoshi", "", "UC\n Berkeley, LBNL" ] ]

Seiberg duality in supersymmetric gauge theories is the claim that two different theories describe the same physics in the infrared limit. However, one cannot easily work out physical quantities in strongly coupled theories and hence it has been difficult to compare the physics of the electric and magnetic theories. In order to gain more insight into the equivalence of two theories, we study the ``e+ e-'' cross sections into ``hadrons'' for both theories in the superconformal window. We describe a technique which allows us to compute the cross sections exactly in the infrared limit. They are indeed equal in the low-energy limit and the equality is guaranteed because of the anomaly matching condition. The ultraviolet behavior of the total ``e+ e-'' cross section is different for the two theories. We comment on proposed non-supersymmetric dualities. We also analyze the agreement of the ``\gamma\gamma'' and ``WW'' scattering amplitudes in both theories, and in particular try to understand if their equivalence can be explained by the anomaly matching condition.

8.502672

9.07022

8.569937

7.81428

7.938847

8.677875

8.574231

8.983665

8.186454

9.536249

8.539529

7.989477

8.092329

7.665035

7.85774

7.987155

7.640684

8.045068

7.820645

7.92433

8.227669

hep-th/9906121

Marc Henneaux

M. Henneaux and A. Wilch

Semi-Invariant Terms for Gauged Non-Linear Sigma-Models

section 6 expanded

Phys.Lett. B471 (2000) 373-381

10.1016/S0370-2693(99)01386-6

ULB-TH-99/08, LPT-ORSAY 99-57

hep-th

null

We determine all the terms that are gauge-invariant up to a total spacetime derivative ("semi-invariant terms") for gauged non-linear sigma models. Assuming that the isotropy subgroup $H$ of the gauge group is compact or semi-simple, we show that (non-trivial) such terms exist only in odd dimensions and are equivalent to the familiar Chern-Simons terms for the subgroup $H$. Various applications are mentioned, including one to the gauging of the Wess-Zumino-Witten terms in even spacetime dimensions. Our approach is based on the analysis of the descent equation associated with semi-invariant terms.

[ { "created": "Wed, 16 Jun 1999 10:34:25 GMT", "version": "v1" }, { "created": "Thu, 25 Nov 1999 10:06:22 GMT", "version": "v2" } ]

2009-10-31

[ [ "Henneaux", "M.", "" ], [ "Wilch", "A.", "" ] ]

We determine all the terms that are gauge-invariant up to a total spacetime derivative ("semi-invariant terms") for gauged non-linear sigma models. Assuming that the isotropy subgroup $H$ of the gauge group is compact or semi-simple, we show that (non-trivial) such terms exist only in odd dimensions and are equivalent to the familiar Chern-Simons terms for the subgroup $H$. Various applications are mentioned, including one to the gauging of the Wess-Zumino-Witten terms in even spacetime dimensions. Our approach is based on the analysis of the descent equation associated with semi-invariant terms.

9.224292

7.897272

8.998385

8.334371

7.915051

9.003578

8.396659

7.879932

8.52893

8.879573

7.649101

7.974281

8.284131

7.836017

7.9533

8.53124

8.110319

8.369246

7.874672

8.156804

8.038547

hep-th/0105312

Joseph A. Minahan

Joseph A. Minahan (Uppsala)

Quantum Corrections in p-adic String Theory

LaTeX, 12 pages, 4 figures

null

UUITP-02/01

hep-th

null

We compute loop corrections in p-adic open string field theory. We argue that quantum effects induce a pole with m^2 ~ - ln g for the open string field at the locally stable vacuum. We also compute the one loop effective potential and show that the potential develops an imaginary piece when the field becomes tachyonic.

[ { "created": "Wed, 30 May 2001 20:21:27 GMT", "version": "v1" } ]

2007-05-23

[ [ "Minahan", "Joseph A.", "", "Uppsala" ] ]

We compute loop corrections in p-adic open string field theory. We argue that quantum effects induce a pole with m^2 ~ - ln g for the open string field at the locally stable vacuum. We also compute the one loop effective potential and show that the potential develops an imaginary piece when the field becomes tachyonic.

17.752983

16.164679

18.950081

14.586186

14.262625

15.688392

12.339561

13.113107

15.034366

17.048458

13.702412

14.403976

16.453136

14.508489

15.21472

15.551303

14.200019

14.842309

14.051995

16.740562

14.063467

1810.09306

Nima Lashkari

Constraining Quantum Fields using Modular Theory

28 pages

null

10.1007/JHEP01(2019)059

null

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

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

Tomita-Takesaki modular theory provides a set of algebraic tools in quantum field theory that is suitable for the study of the information-theoretic properties of states. For every open set in spacetime and choice of two states, the modular theory defines a positive operator known as the relative modular operator that decreases monotonically under restriction to subregions. We study the consequences of this operator monotonicity inequality for correlation functions in quantum field theory. We do so by constructing a one-parameter Renyi family of information-theoretic measures from the relative modular operator that inherit monotonicity by construction and reduce to correlation functions in special cases. In the case of finite quantum systems, this Renyi family is the sandwiched Renyi divergence and we obtain a new simple proof of its monotonicity. Its monotonicity implies a class of constraints on correlation functions in quantum field theory, only a small set of which were known to us. We explore these inequalities for free fields and conformal field theory. We conjecture that the second null derivative of Renyi divergence is non-negative which is a generalization of the quantum null energy condition to the Renyi family.

[ { "created": "Mon, 22 Oct 2018 14:17:09 GMT", "version": "v1" }, { "created": "Wed, 28 Nov 2018 18:38:22 GMT", "version": "v2" }, { "created": "Fri, 29 Jan 2021 12:54:01 GMT", "version": "v3" }, { "created": "Mon, 1 Feb 2021 03:15:18 GMT", "version": "v4" } ]

2021-02-02

[ [ "Lashkari", "Nima", "" ] ]

Tomita-Takesaki modular theory provides a set of algebraic tools in quantum field theory that is suitable for the study of the information-theoretic properties of states. For every open set in spacetime and choice of two states, the modular theory defines a positive operator known as the relative modular operator that decreases monotonically under restriction to subregions. We study the consequences of this operator monotonicity inequality for correlation functions in quantum field theory. We do so by constructing a one-parameter Renyi family of information-theoretic measures from the relative modular operator that inherit monotonicity by construction and reduce to correlation functions in special cases. In the case of finite quantum systems, this Renyi family is the sandwiched Renyi divergence and we obtain a new simple proof of its monotonicity. Its monotonicity implies a class of constraints on correlation functions in quantum field theory, only a small set of which were known to us. We explore these inequalities for free fields and conformal field theory. We conjecture that the second null derivative of Renyi divergence is non-negative which is a generalization of the quantum null energy condition to the Renyi family.

8.785209

8.648835

9.214695

7.863948

8.846777

8.528899

8.709762

7.922242

8.307129

10.334476

8.095485

7.840645

8.374162

7.948243

7.662265

7.886334

7.609763

8.029962

7.900905

8.194173

7.940973

1612.04938

Naoki Sasakura

Gaurav Narain, Naoki Sasakura

Mother canonical tensor model

31 pages, 8 figures; a paragraph added on uniqueness, references updated, minor changes of expressions, typos corrected

null

10.1088/1361-6382/aa7771

YITP-16-131

hep-th gr-qc

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

Canonical tensor model (CTM) is a tensor model formulated in the Hamilton formalism as a totally constrained system with first class constraints, the algebraic structure of which is very similar to that of the ADM formalism of general relativity. It has recently been shown that a formal continuum limit of the classical equation of motion of CTM in a derivative expansion of the tensor up to the fourth derivatives agrees with that of a coupled system of general relativity and a scalar field in the Hamilton-Jacobi formalism. This suggests the existence of a "mother" tensor model which derives CTM through the Hamilton-Jacobi procedure, and we have successfully found such a "mother" CTM (mCTM) in this paper. The quantization of mCTM is straightforward as CTM. However, we have not been able to identify all the secondary constraints, and therefore the full structure of the model has been left for future study. Nonetheless, we have found some exact physical wave functions and classical phase spaces which can be shown to solve the primary and all the (possibly infinite) secondary constraints in the quantum and classical cases, respectively, and have thereby proven the non-triviality of the model. It has also been shown that mCTM has more interesting dynamics than CTM from the perspective of randomly connected tensor networks.

[ { "created": "Thu, 15 Dec 2016 06:01:45 GMT", "version": "v1" }, { "created": "Wed, 31 May 2017 04:14:06 GMT", "version": "v2" } ]

2017-07-05

[ [ "Narain", "Gaurav", "" ], [ "Sasakura", "Naoki", "" ] ]

Canonical tensor model (CTM) is a tensor model formulated in the Hamilton formalism as a totally constrained system with first class constraints, the algebraic structure of which is very similar to that of the ADM formalism of general relativity. It has recently been shown that a formal continuum limit of the classical equation of motion of CTM in a derivative expansion of the tensor up to the fourth derivatives agrees with that of a coupled system of general relativity and a scalar field in the Hamilton-Jacobi formalism. This suggests the existence of a "mother" tensor model which derives CTM through the Hamilton-Jacobi procedure, and we have successfully found such a "mother" CTM (mCTM) in this paper. The quantization of mCTM is straightforward as CTM. However, we have not been able to identify all the secondary constraints, and therefore the full structure of the model has been left for future study. Nonetheless, we have found some exact physical wave functions and classical phase spaces which can be shown to solve the primary and all the (possibly infinite) secondary constraints in the quantum and classical cases, respectively, and have thereby proven the non-triviality of the model. It has also been shown that mCTM has more interesting dynamics than CTM from the perspective of randomly connected tensor networks.

7.763606

7.623512

8.444456

7.302282

7.436045

7.194339

7.649278

7.446549

7.568921

9.220452

7.099165

7.619945

7.81848

7.675574

7.669455

7.529516

7.573699

7.610384

7.72827

7.94355

7.58882

1210.6224

Ying-li Zhang

Ying-li Zhang, Ryo Saito and Misao Sasaki

Hawking-Moss instanton in nonlinear massive gravity

v2, 14 pages, 3 figures, comments and references added

JCAP 02(2013)029

10.1088/1475-7516/2013/02/029

YITP-12-74

hep-th astro-ph.CO gr-qc

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

As a first step toward understanding a lanscape of vacua in a theory of non-linear massive gravity, we consider a landscape of a single scalar field and study tunneling between a pair of adjacent vacua. We study the Hawking-Moss (HM) instanton that sits at a local maximum of the potential, and evaluate the dependence of the tunneling rate on the parameters of the theory. It is found that provided with the same physical HM Hubble parameter $H_{HM}$, depending on the values of parameters $\alpha_3$ and $\alpha_4$ in the action, the corresponding tunneling rate can be either enhanced or suppressed when compared to the one in the context of General Relativity (GR). Furthermore, we find the constraint on the ratio of the physical Hubble parameter to the fiducial one, which constrains the form of potential. This result is in sharp contrast to GR where there is no bound on the minimum value of the potential.

[ { "created": "Tue, 23 Oct 2012 12:42:45 GMT", "version": "v1" }, { "created": "Wed, 20 Feb 2013 05:50:25 GMT", "version": "v2" } ]

2015-06-11

[ [ "Zhang", "Ying-li", "" ], [ "Saito", "Ryo", "" ], [ "Sasaki", "Misao", "" ] ]

As a first step toward understanding a lanscape of vacua in a theory of non-linear massive gravity, we consider a landscape of a single scalar field and study tunneling between a pair of adjacent vacua. We study the Hawking-Moss (HM) instanton that sits at a local maximum of the potential, and evaluate the dependence of the tunneling rate on the parameters of the theory. It is found that provided with the same physical HM Hubble parameter $H_{HM}$, depending on the values of parameters $\alpha_3$ and $\alpha_4$ in the action, the corresponding tunneling rate can be either enhanced or suppressed when compared to the one in the context of General Relativity (GR). Furthermore, we find the constraint on the ratio of the physical Hubble parameter to the fiducial one, which constrains the form of potential. This result is in sharp contrast to GR where there is no bound on the minimum value of the potential.

8.39372

7.687537

8.036348

7.908547

7.458003

7.559372

7.607864

7.859613

7.738305

8.438082

7.506711

7.594386

7.486094

7.49789

7.460875

7.485368

7.546898

7.38064

7.259468

7.655658

7.699313

1508.00780

Fabio Riccioni

E.A. Bergshoeff, V.A. Penas, F. Riccioni and S. Risoli

Non-geometric fluxes and mixed-symmetry potentials

19 pages, refs. added

null

UG-15-97

hep-th

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

We discuss the relation between generalised fluxes and mixed-symmetry potentials. We first consider the NS fluxes, and point out that the `non-geometric' $R$ flux is dual to a mixed-symmetry potential with a set of nine antisymmetric indices. We then consider the T-duality family of fluxes whose prototype is the Scherk-Schwarz reduction of the S-dual of the RR scalar of IIB supergravity. Using the relation with mixed-symmetry potentials, we are able to give a complete classification of these fluxes, including the ones that are non-geometric. The non-geometric fluxes again turn out to be dual to potentials containing nine antisymmetric indices. Our analysis suggests that all these fluxes can be understood in the context of double field theory, although for the non-geometric ones one expects a violation of the strong constraint.

[ { "created": "Tue, 4 Aug 2015 14:18:04 GMT", "version": "v1" }, { "created": "Mon, 31 Aug 2015 14:32:25 GMT", "version": "v2" } ]

2015-09-01

[ [ "Bergshoeff", "E. A.", "" ], [ "Penas", "V. A.", "" ], [ "Riccioni", "F.", "" ], [ "Risoli", "S.", "" ] ]

We discuss the relation between generalised fluxes and mixed-symmetry potentials. We first consider the NS fluxes, and point out that the `non-geometric' $R$ flux is dual to a mixed-symmetry potential with a set of nine antisymmetric indices. We then consider the T-duality family of fluxes whose prototype is the Scherk-Schwarz reduction of the S-dual of the RR scalar of IIB supergravity. Using the relation with mixed-symmetry potentials, we are able to give a complete classification of these fluxes, including the ones that are non-geometric. The non-geometric fluxes again turn out to be dual to potentials containing nine antisymmetric indices. Our analysis suggests that all these fluxes can be understood in the context of double field theory, although for the non-geometric ones one expects a violation of the strong constraint.

6.068124

6.015051

7.822105

6.183712

6.628663

6.554783

6.639956

6.059222

6.530449

7.597075

6.074924

6.016922

6.235409

5.802287

6.074584

5.785024

5.772315

5.697673

6.006867

6.520429

5.844173

2112.13370

Danhua Song

Danhua Song, Kai Lou, Ke Wu, Jie Yang

Generalized higher connections and Yang-Mills

null

hep-th math-ph math.MP

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

We first extend Generalized Differential Calculus (GDC) to higher structures and create generalized G-invariant bilinear forms. In addition, we also focus on developing generalized 2- and 3-connection theories in the framework of GDC. Then, we derive the higher Bianchi-Identities and study the gauge transformations for those generalized higher connections. Finally, we establish the generalized 2- and 3-form Yang-Mills theories based on GDC and obtain the corresponding fields equations.

[ { "created": "Sun, 26 Dec 2021 12:32:31 GMT", "version": "v1" }, { "created": "Wed, 29 Dec 2021 03:04:16 GMT", "version": "v2" } ]

2021-12-30

[ [ "Song", "Danhua", "" ], [ "Lou", "Kai", "" ], [ "Wu", "Ke", "" ], [ "Yang", "Jie", "" ] ]

We first extend Generalized Differential Calculus (GDC) to higher structures and create generalized G-invariant bilinear forms. In addition, we also focus on developing generalized 2- and 3-connection theories in the framework of GDC. Then, we derive the higher Bianchi-Identities and study the gauge transformations for those generalized higher connections. Finally, we establish the generalized 2- and 3-form Yang-Mills theories based on GDC and obtain the corresponding fields equations.

12.344102

11.862111

11.934428

10.951145

11.470627

11.699276

11.533379

11.391395

10.752551

13.350244

11.008622

10.865915

11.834026

11.144009

10.674556

10.882868

10.936266

10.560226

10.989211

11.689374

10.772951

1108.5742

Walter Vinci

Muneto Nitta and Walter Vinci

Decomposing Instantons in Two Dimensions

Minor changes. 27 pages, 5 figures

J.Phys.A45:175401,2012

10.1088/1751-8113/45/17/175401

null

hep-th

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

We study BPS string-like solutions in the 3+1 dimensional gauged CP(1) non-linear sigma model. The same analysis can be applied to study instantons in 2 euclidean dimensions. We use the moduli matrix approach to construct analytically the moduli space and and solve numerically the BPS equations. We identify two topologically inequivalent type of magnetic vortices, which we call S and N vortices. Moreover we discuss their relation to "lump-string" solutions present in the un-gauged case. In particular, we describe how a lump is split into a couple of component S-N vortices after gauging. We extend this analysis to the case of the extended Abelian Higgs model with two flavors, which is known to admit semi-local vortices. When we gauge the relative phase between fields, semi-local vortices are also split into component vortices. We discuss interesting applications of this simple set-up. First, gauging of non-linear sigma models reveals a "partonic" nature of instantons in 1+1 dimensions, an idea long studied also in connection with four dimensional instantons. Second, weak gauging provides for an interesting regularization of the metric of semi-local vortices which preserves supersymmetry and does not lift the moduli space of the string.

[ { "created": "Mon, 29 Aug 2011 20:12:25 GMT", "version": "v1" }, { "created": "Wed, 31 Aug 2011 03:06:56 GMT", "version": "v2" }, { "created": "Mon, 12 Mar 2012 18:32:56 GMT", "version": "v3" } ]

2012-04-17

[ [ "Nitta", "Muneto", "" ], [ "Vinci", "Walter", "" ] ]

We study BPS string-like solutions in the 3+1 dimensional gauged CP(1) non-linear sigma model. The same analysis can be applied to study instantons in 2 euclidean dimensions. We use the moduli matrix approach to construct analytically the moduli space and and solve numerically the BPS equations. We identify two topologically inequivalent type of magnetic vortices, which we call S and N vortices. Moreover we discuss their relation to "lump-string" solutions present in the un-gauged case. In particular, we describe how a lump is split into a couple of component S-N vortices after gauging. We extend this analysis to the case of the extended Abelian Higgs model with two flavors, which is known to admit semi-local vortices. When we gauge the relative phase between fields, semi-local vortices are also split into component vortices. We discuss interesting applications of this simple set-up. First, gauging of non-linear sigma models reveals a "partonic" nature of instantons in 1+1 dimensions, an idea long studied also in connection with four dimensional instantons. Second, weak gauging provides for an interesting regularization of the metric of semi-local vortices which preserves supersymmetry and does not lift the moduli space of the string.

10.198117

10.040216

10.855829

9.909867

10.518169

10.064448

10.377621

10.012609

9.720487

12.173381

9.630817

10.071031

10.212213

9.684848

9.852845

9.839975

9.7869

9.806623

9.708816

10.270774

9.653818

2405.09687

Riccardo Gonzo

Riccardo Gonzo, Canxin Shi

Scattering and bound observables for spinning particles in Kerr spacetime with generic spin orientations

6 pages + appendices, 1 ancillary file; v2: typos corrected, references added

null

hep-th gr-qc

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

We derive the radial action of a spinning probe particle in Kerr spacetime from the worldline formalism in the first-order form, focusing on linear in spin effects. We then develop a novel covariant Dirac bracket formalism to compute the impulse and the spin kick directly from the radial action, generalizing some conjectural results in the literature and providing ready-to-use expressions for amplitude calculations with generic spin orientations. This allows, for the first time, to find new covariant expressions for scattering observables in the probe limit up to $\mathcal{O}(G^6 s_1 s_2^4)$. Finally, we use the action-angle representation to compute the fundamental frequencies for generic bound orbits, including the intrinsic spin precession, the periastron advance and the precession of the orbital plane.

[ { "created": "Wed, 15 May 2024 20:02:39 GMT", "version": "v1" }, { "created": "Fri, 21 Jun 2024 09:26:50 GMT", "version": "v2" } ]

2024-06-24

[ [ "Gonzo", "Riccardo", "" ], [ "Shi", "Canxin", "" ] ]

We derive the radial action of a spinning probe particle in Kerr spacetime from the worldline formalism in the first-order form, focusing on linear in spin effects. We then develop a novel covariant Dirac bracket formalism to compute the impulse and the spin kick directly from the radial action, generalizing some conjectural results in the literature and providing ready-to-use expressions for amplitude calculations with generic spin orientations. This allows, for the first time, to find new covariant expressions for scattering observables in the probe limit up to $\mathcal{O}(G^6 s_1 s_2^4)$. Finally, we use the action-angle representation to compute the fundamental frequencies for generic bound orbits, including the intrinsic spin precession, the periastron advance and the precession of the orbital plane.

12.095678

11.023538

11.20755

10.181097

10.762223

10.287475

10.603858

9.636259

10.190083

11.049947

10.43484

10.978106

10.652222

10.553281

10.427872

10.666018

10.920033

10.297782

11.393351

11.066358

10.673451

hep-th/9903029

Alastair Paulin-Campbell

Robert de Mello Koch, Alastair Paulin-Campbell and Joao P. Rodrigues

Non-holomorphic Corrections from Threebranes in F Theory

23 pages, uses harvmac, References added, typos corrected and minor improvements to discussion of N dependence, to appear in Phys. Rev. D

Phys.Rev. D60 (1999) 106008

10.1103/PhysRevD.60.106008

CNLS-99-02, BROWN-HET-1174

hep-th

null

We construct solutions of type IIB supergravity dual to N=2 super Yang-Mills theories. By considering a probe moving in a background with constant coupling and an AdS_{5} component in its geometry, we are able to reproduce the exact low energy effective action for the theory with gauge group SU(2) and N_{f}=4 massless flavors. After turning on a mass for the flavors we find corrections to the AdS_{5} geometry. In addition, the coupling shows a power law dependence on the energy scale of the theory. The origin of the power law behaviour of the coupling is traced back to instanton corrections. Instanton corrections to the four derivative terms in the low energy effective action are correctly obtained from a probe analysis. By considering a Wilson loop in this geometry we are also able to compute the instanton effects on the quark-antiquark potential. Finally we consider a solution corresponding to an asymptotically free field theory. Again, the leading form of the four derivative terms in the low energy effective action are in complete agreement with field theory expectations.

[ { "created": "Tue, 2 Mar 1999 16:58:10 GMT", "version": "v1" }, { "created": "Fri, 12 Mar 1999 07:17:10 GMT", "version": "v2" }, { "created": "Tue, 17 Aug 1999 17:59:10 GMT", "version": "v3" } ]

2009-10-31

[ [ "Koch", "Robert de Mello", "" ], [ "Paulin-Campbell", "Alastair", "" ], [ "Rodrigues", "Joao P.", "" ] ]

We construct solutions of type IIB supergravity dual to N=2 super Yang-Mills theories. By considering a probe moving in a background with constant coupling and an AdS_{5} component in its geometry, we are able to reproduce the exact low energy effective action for the theory with gauge group SU(2) and N_{f}=4 massless flavors. After turning on a mass for the flavors we find corrections to the AdS_{5} geometry. In addition, the coupling shows a power law dependence on the energy scale of the theory. The origin of the power law behaviour of the coupling is traced back to instanton corrections. Instanton corrections to the four derivative terms in the low energy effective action are correctly obtained from a probe analysis. By considering a Wilson loop in this geometry we are also able to compute the instanton effects on the quark-antiquark potential. Finally we consider a solution corresponding to an asymptotically free field theory. Again, the leading form of the four derivative terms in the low energy effective action are in complete agreement with field theory expectations.

6.648649

6.249016

7.123944

6.081351

6.283909

6.205358

6.261587

6.297756

6.332386

7.818605

6.126824

6.386385

6.791255

6.297661

6.209692

6.253381

6.4388

6.169204

6.216681

6.657689

6.043705

2103.09816

Giovanni Cabass

Zoology of Graviton non-Gaussianities

14 pages, 1 table, matches JCAP version

null

10.1088/1475-7516/2021/12/001

null

hep-th astro-ph.CO

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

We characterize graviton non-Gaussianities in models of inflation where de Sitter boosts are spontaneously broken. We discuss which of the symmetry breaking patterns studied in Nicolis et al., 2015 can sustain a period of quasi de Sitter expansion, and show that the symmetry breaking pattern of Solid Inflation allows the most freedom for graviton interactions. We comment on the phenomenological consequences of some of these interactions. As a byproduct of this analysis we construct the "EFT of Solid Inflation", which has all the useful features of the EFT of Inflation but for the case of broken spatial diffeomorphisms.

[ { "created": "Wed, 17 Mar 2021 17:59:27 GMT", "version": "v1" }, { "created": "Wed, 17 Nov 2021 22:51:55 GMT", "version": "v2" } ]

2021-12-08

[ [ "Cabass", "Giovanni", "" ] ]

We characterize graviton non-Gaussianities in models of inflation where de Sitter boosts are spontaneously broken. We discuss which of the symmetry breaking patterns studied in Nicolis et al., 2015 can sustain a period of quasi de Sitter expansion, and show that the symmetry breaking pattern of Solid Inflation allows the most freedom for graviton interactions. We comment on the phenomenological consequences of some of these interactions. As a byproduct of this analysis we construct the "EFT of Solid Inflation", which has all the useful features of the EFT of Inflation but for the case of broken spatial diffeomorphisms.

9.880641

9.315358

9.66827

9.219543

10.134321

9.831189

9.559163

9.909987

9.359381

10.816565

9.007935

9.184383

9.490623

8.858217

9.539717

9.294877

9.257046

9.273156

8.873695

9.644393

9.064872

1103.5733

D. S. Berman

David S. Berman, Hadi Godazgar and Malcolm J. Perry

SO(5,5) duality in M-theory and generalized geometry

7 pages, LaTex, v2: typos corrected and reference added

null

10.1016/j.physletb.2011.04.046

null

hep-th

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

We attempt to reformulate eleven dimensional supergravity in terms of an object that unifies the three-form and the metric and makes the M-theory duality group manifest. This short note deals with the case of where the U-duality group SO(5,5) acts in five spatial dimensions.

[ { "created": "Tue, 29 Mar 2011 19:18:20 GMT", "version": "v1" }, { "created": "Tue, 26 Apr 2011 11:23:22 GMT", "version": "v2" } ]

2015-05-27

[ [ "Berman", "David S.", "" ], [ "Godazgar", "Hadi", "" ], [ "Perry", "Malcolm J.", "" ] ]

We attempt to reformulate eleven dimensional supergravity in terms of an object that unifies the three-form and the metric and makes the M-theory duality group manifest. This short note deals with the case of where the U-duality group SO(5,5) acts in five spatial dimensions.

16.559727

12.151546

15.394672

11.910798

11.403716

12.296379

12.893089

12.626317

11.620156

19.097229

11.355328

11.734235

13.674689

11.846738

11.533995

11.390013

11.319466

12.055969

12.250732

13.838532

11.575419

0809.3659

Alexander Sevrin

Alexander Sevrin, Wieland Staessens, Alexander Wijns

An N=2 worldsheet approach to D-branes in bihermitian geometries: I. Chiral and twisted chiral fields

LaTeX, 50 pages

JHEP0810:108,2008

10.1088/1126-6708/2008/10/108

null

hep-th

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

We investigate N=(2,2) supersymmetric nonlinear sigma-models in the presence of a boundary. We restrict our attention to the case where the bulk geometry is described by chiral and twisted chiral superfields corresponding to a bihermitian bulk geometry with two commuting complex structures. The D-brane configurations preserving an N=2 worldsheet supersymmetry are identified. Duality transformations interchanging chiral for twisted chiral fields and vice versa while preserving all supersymmetries are explicitly constructed. We illustrate our results with various explicit examples such as the WZW-model on the Hopf surface S3xS1. The duality transformations provide e.g new examples of coisotropic A-branes on Kahler manifolds (which are not necessarily hyper-Kahler). Finally, by dualizing a chiral and a twisted chiral field to a semi-chiral multiplet, we initiate the study of D-branes in bihermitian geometries where the cokernel of the commutator of the complex structures is non-empty.

[ { "created": "Mon, 22 Sep 2008 09:12:32 GMT", "version": "v1" } ]

2008-11-26

[ [ "Sevrin", "Alexander", "" ], [ "Staessens", "Wieland", "" ], [ "Wijns", "Alexander", "" ] ]

We investigate N=(2,2) supersymmetric nonlinear sigma-models in the presence of a boundary. We restrict our attention to the case where the bulk geometry is described by chiral and twisted chiral superfields corresponding to a bihermitian bulk geometry with two commuting complex structures. The D-brane configurations preserving an N=2 worldsheet supersymmetry are identified. Duality transformations interchanging chiral for twisted chiral fields and vice versa while preserving all supersymmetries are explicitly constructed. We illustrate our results with various explicit examples such as the WZW-model on the Hopf surface S3xS1. The duality transformations provide e.g new examples of coisotropic A-branes on Kahler manifolds (which are not necessarily hyper-Kahler). Finally, by dualizing a chiral and a twisted chiral field to a semi-chiral multiplet, we initiate the study of D-branes in bihermitian geometries where the cokernel of the commutator of the complex structures is non-empty.

7.246476

6.849644

8.856578

7.167661

7.870502

7.794314

7.348194

7.44062

6.968199

8.83708

6.904129

7.012222

7.913381

7.015894

7.211348

7.223594

7.18915

7.098155

7.179939

7.748985

7.010241

1205.0135

Mustafa Sarisaman

Euclidean Pseudoduality and Boundary Conditions in Sigma Models

17 pages, v2: References added, slightly revised; To appear in Nucl. Phys. B

Nucl.Phys. B868 (2013) 314-327

10.1016/j.nuclphysb.2012.11.014

null

hep-th math-ph math.MP

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

We discuss pseudoduality transformations in two dimensional conformally invariant classical sigma models, and extend our analysis to a given boundaries of world-sheet, which gives rise to an appropriate framework for the discussion of the pseudoduality between D-branes. We perform analysis using the Euclidean spacetime and show that structures on the target space can be transformed into pseudodual manifold identically. This map requires that torsions and curvatures related to individual spaces are the same when connections are riemannian. Boundary pseudoduality imposes locality condition.

[ { "created": "Tue, 1 May 2012 11:11:18 GMT", "version": "v1" }, { "created": "Wed, 21 Nov 2012 23:21:25 GMT", "version": "v2" } ]

2013-06-20

[ [ "Sarisaman", "Mustafa", "" ] ]

We discuss pseudoduality transformations in two dimensional conformally invariant classical sigma models, and extend our analysis to a given boundaries of world-sheet, which gives rise to an appropriate framework for the discussion of the pseudoduality between D-branes. We perform analysis using the Euclidean spacetime and show that structures on the target space can be transformed into pseudodual manifold identically. This map requires that torsions and curvatures related to individual spaces are the same when connections are riemannian. Boundary pseudoduality imposes locality condition.

34.072014

27.906824

36.62941

28.673212

28.762453

29.17448

27.971912

26.671505

30.014019

36.772926

28.574461

28.924284

33.761593

30.075134

32.290779

31.595089

30.360132

29.667292

30.614418

33.564747

29.537302

1206.5624

Kourosh Nozari

Kourosh Nozari and P. Shahini

TeV scale black holes thermodynamics with extra dimensions and quantum gravity effects

16 pages, 9 eps figures

null

hep-th

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

TeV scale black hole thermodynamics in the presence of quantum gravity effects encoded in the existence of a minimal length and a maximal momentum is studied in a model universe with large extra dimensions.

[ { "created": "Mon, 25 Jun 2012 09:48:34 GMT", "version": "v1" } ]

2012-06-26

[ [ "Nozari", "Kourosh", "" ], [ "Shahini", "P.", "" ] ]

TeV scale black hole thermodynamics in the presence of quantum gravity effects encoded in the existence of a minimal length and a maximal momentum is studied in a model universe with large extra dimensions.

16.369852

10.568536

9.189537

8.137217

10.486297

9.489879

9.042557

8.403784

7.985143

9.761375

10.335819

10.361832

10.732464

10.532139

10.840761

11.054294

10.235968

9.660263

10.37717

10.850179

11.166914

hep-th/9808118

Nevena Ilieva

N. Ilieva and W. Thirring

The Thirring model 40 years later

16 pages, LaTeX, Invited talk at the XI International Conference on Problems of QFT (Dubna, Russia, July 1998), to appear in the Proceedings

in: Problems of QFT, Eds. B.M. Barbashov, G.V. Efimov, A.V. Efremov (Dubna, 1999, E2-99-35), p.167.

null

Vienna Preprint UWThPh-1998-37, Vienna, 1998; ESI Preprint, ESI-587-1998

hep-th math-ph math.MP

null

Solutions to the Thirring model are constructed in the framework of algebraic QFT. It is shown that for all positive temperatures there are fermionic solutions only if the coupling constant is $\lambda = \sqrt{2(2n+1)\pi}, n\in \bf N$, otherwise solutions are anyons. Different anyons (which are uncountably many) live in orthogonal spaces, so the whole Hilbert space becomes non-separable and in each of its sectors a different Urgleichung holds. This feature certainly cannot be seen by any power expansion in $\lambda$. Moreover, if the statistic parameter is tied to the coupling constant it is clear that such an expansion is doomed to failure and will never reveal the true structure of the theory. On the basis of the model in question, it is not possible to decide whether fermions or bosons are more fundamental since dressed fermions can be constructed either from bare fermions or directly from the current algebra.

[ { "created": "Wed, 19 Aug 1998 16:52:22 GMT", "version": "v1" } ]

2007-05-23

[ [ "Ilieva", "N.", "" ], [ "Thirring", "W.", "" ] ]

Solutions to the Thirring model are constructed in the framework of algebraic QFT. It is shown that for all positive temperatures there are fermionic solutions only if the coupling constant is $\lambda = \sqrt{2(2n+1)\pi}, n\in \bf N$, otherwise solutions are anyons. Different anyons (which are uncountably many) live in orthogonal spaces, so the whole Hilbert space becomes non-separable and in each of its sectors a different Urgleichung holds. This feature certainly cannot be seen by any power expansion in $\lambda$. Moreover, if the statistic parameter is tied to the coupling constant it is clear that such an expansion is doomed to failure and will never reveal the true structure of the theory. On the basis of the model in question, it is not possible to decide whether fermions or bosons are more fundamental since dressed fermions can be constructed either from bare fermions or directly from the current algebra.

12.547194

12.915074

13.875621

11.475097

14.094811

13.326497

11.80358

12.577509

12.405795

14.200984

11.886149

11.879333

12.418384

12.302605

12.208704

12.08351

11.701935

12.026348

12.208209

12.582338

11.854039

1412.3772

Alexander Alexandrov

Open intersection numbers, Kontsevich-Penner model and cut-and-join operators

28 pages

JHEP 1508 (2015) 028

10.1007/JHEP08(2015)028

ITEP/TH-40/14

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

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

We continue our investigation of the Kontsevich--Penner model, which describes intersection theory on moduli spaces both for open and closed curves. In particular, we show how Buryak's residue formula, which connects two generating functions of intersection numbers, appears in the general context of matrix models and tau-functions. This allows us to prove that the Kontsevich--Penner matrix integral indeed describes open intersection numbers. For arbitrary $N$ we show that the string and dilaton equations completely specify the solution of the KP hierarchy. We derive a complete family of the Virasoro and W-constraints, and using these constraints, we construct the cut-and-join operators. The case $N=1$, corresponding to open intersection numbers, is particularly interesting: for this case we obtain two different families of the Virasoro constraints, so that the difference between them describes the dependence of the tau-function on even times.

[ { "created": "Thu, 11 Dec 2014 19:33:34 GMT", "version": "v1" }, { "created": "Sun, 26 Apr 2015 12:47:34 GMT", "version": "v2" }, { "created": "Sun, 6 Sep 2015 16:47:37 GMT", "version": "v3" }, { "created": "Wed, 22 Jun 2016 13:53:38 GMT", "version": "v4" } ]

2016-06-23

[ [ "Alexandrov", "Alexander", "" ] ]

We continue our investigation of the Kontsevich--Penner model, which describes intersection theory on moduli spaces both for open and closed curves. In particular, we show how Buryak's residue formula, which connects two generating functions of intersection numbers, appears in the general context of matrix models and tau-functions. This allows us to prove that the Kontsevich--Penner matrix integral indeed describes open intersection numbers. For arbitrary $N$ we show that the string and dilaton equations completely specify the solution of the KP hierarchy. We derive a complete family of the Virasoro and W-constraints, and using these constraints, we construct the cut-and-join operators. The case $N=1$, corresponding to open intersection numbers, is particularly interesting: for this case we obtain two different families of the Virasoro constraints, so that the difference between them describes the dependence of the tau-function on even times.

8.105621

8.113482

10.311321

7.788636

8.722658

8.555962

7.828583

8.048301

8.171471

9.674911

7.502337

7.711644

8.410421

7.566364

7.881329

7.575577

7.660792

7.607425

7.749889

8.262475

7.636892

1911.01737

Hisayoshi Muraki

Goro Ishiki, Hisayoshi Muraki, Chaiho Rim

The null identities for boundary operators in the $(2,2p+1)$ minimal gravity

8 pages

Prog Theor Exp Phys (2020)

10.1093/ptep/ptz170

UTHEP-737

hep-th math-ph math.MP

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

By using the matrix-model representation, we show that correlation numbers of boundary changing operators (BCO) in $(2,2p+1)$ minimal Liouville gravity satisfy some identities, which we call the null identities. These identities enable us to express the correlation numbers of BCO in terms of those of boundary preserving operators. We also discuss a physical implication of the null identities as the manifestation of the boundary interaction.

[ { "created": "Tue, 5 Nov 2019 12:12:04 GMT", "version": "v1" } ]

2020-02-26

[ [ "Ishiki", "Goro", "" ], [ "Muraki", "Hisayoshi", "" ], [ "Rim", "Chaiho", "" ] ]

By using the matrix-model representation, we show that correlation numbers of boundary changing operators (BCO) in $(2,2p+1)$ minimal Liouville gravity satisfy some identities, which we call the null identities. These identities enable us to express the correlation numbers of BCO in terms of those of boundary preserving operators. We also discuss a physical implication of the null identities as the manifestation of the boundary interaction.

9.021709

7.62017

10.76709

7.811366

6.878088

6.961196

7.628914

7.213608

7.445983

12.876641

7.127132

7.532955

8.896539

7.643878

7.710259

7.29398

7.306554

7.727252

7.27353

8.55969

7.300449

1810.00669

Yili Wang

Xian-Hui Ge, Shao-Kai Jian, Yi-Li Wang, Zhuo-Yu Xian, Hong Yao

Violation of the viscosity/entropy bound in translationally invariant non-Fermi liquids

10 pages, 2 figures; more details added as appendix; and minor corrections

Phys. Rev. Research 2, 023366 (2020)

10.1103/PhysRevResearch.2.023366

null

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

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

The shear viscosity is an important characterization of how a many-body system behaves like a fluid. We study the shear viscosity in a strongly interacting solvable model, consisting of coupled Sachdev-Ye-Kitaev (SYK) islands. As temperature is lowered, the model exhibits a crossover from an incoherent metal with local criticality to a marginal fermi liquid. We find that while the ratio of shear viscosity to entropy density in the marginal Fermi liquid regime satisfies a Kovtun-Son-Starinets (KSS) like bound, it can strongly violate the KSS bound in a robust temperature range of the incoherent metal regime, implying a nearly perfect fluidity of the coupled local critical SYK model. Furthermore, this model also provides the first translationally invariant example violating the KSS bound with known gauge-gravity correspondence.

[ { "created": "Mon, 1 Oct 2018 12:39:12 GMT", "version": "v1" }, { "created": "Tue, 2 Oct 2018 01:07:12 GMT", "version": "v2" }, { "created": "Wed, 26 Dec 2018 11:41:39 GMT", "version": "v3" }, { "created": "Fri, 19 Apr 2019 01:56:00 GMT", "version": "v4" }, { "created": "Mon, 6 Apr 2020 07:10:39 GMT", "version": "v5" } ]

2020-07-01

[ [ "Ge", "Xian-Hui", "" ], [ "Jian", "Shao-Kai", "" ], [ "Wang", "Yi-Li", "" ], [ "Xian", "Zhuo-Yu", "" ], [ "Yao", "Hong", "" ] ]

The shear viscosity is an important characterization of how a many-body system behaves like a fluid. We study the shear viscosity in a strongly interacting solvable model, consisting of coupled Sachdev-Ye-Kitaev (SYK) islands. As temperature is lowered, the model exhibits a crossover from an incoherent metal with local criticality to a marginal fermi liquid. We find that while the ratio of shear viscosity to entropy density in the marginal Fermi liquid regime satisfies a Kovtun-Son-Starinets (KSS) like bound, it can strongly violate the KSS bound in a robust temperature range of the incoherent metal regime, implying a nearly perfect fluidity of the coupled local critical SYK model. Furthermore, this model also provides the first translationally invariant example violating the KSS bound with known gauge-gravity correspondence.

8.295031

8.055937

8.538197

7.508513

7.653041

7.852834

7.87571

7.990216

7.467317

9.270037

7.950024

7.562862

8.332628

7.880174

7.587724

7.743792

7.585971

8.030792

7.932691

8.081638

7.70628

2312.16056

Debajyoti Sarkar

Avijit Das, Shivrat Sachdeva and Debajyoti Sarkar

Bulk reconstruction using timelike entanglement in (A)dS

Version 2. 51 pages, 13 figures. Minor modifications and corrections. References added. Version 3. Minor changes in abstract and elsewhere. Published version

Phys. Rev. D 109, 066007 (2024)

10.1103/PhysRevD.109.066007

null

hep-th gr-qc

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

It is well-known that the entanglement entropies for spacelike subregions, and the associated modular Hamiltonians play a crucial role in the bulk reconstruction program within Anti de-Sitter (AdS) holography. Explicit examples of HKLL map exist mostly for the cases where the emergent bulk region is the so-called entanglement wedge of the given boundary subregion. However, motivated from the complex pseudo-entropy in Euclidean conformal field theories (CFT), one can talk about a `timelike entanglement' in Lorentzian CFTs dual to AdS spacetimes. One can then utilize this boundary timelike entanglement to define a boundary `timelike modular Hamiltonian'. We use constraints involving these Hamiltonians in a manner similar to how it was used for spacelike cases, and write down bulk operators in regions which are not probed by an RT surface corresponding to a single CFT. In the context of two dimensional CFT, we re-derive the HKLL formulas for free bulk scalar fields in three examples: in AdS Poincar\'{e} patch, inside and outside of the AdS black hole, and for de Sitter flat slicings. In this method, one no longer requires the knowledge of bulk dynamics for sub-horizon holography.

[ { "created": "Tue, 26 Dec 2023 13:58:52 GMT", "version": "v1" }, { "created": "Sun, 14 Jan 2024 13:09:28 GMT", "version": "v2" }, { "created": "Sun, 10 Mar 2024 06:37:40 GMT", "version": "v3" } ]

2024-03-12

[ [ "Das", "Avijit", "" ], [ "Sachdeva", "Shivrat", "" ], [ "Sarkar", "Debajyoti", "" ] ]

It is well-known that the entanglement entropies for spacelike subregions, and the associated modular Hamiltonians play a crucial role in the bulk reconstruction program within Anti de-Sitter (AdS) holography. Explicit examples of HKLL map exist mostly for the cases where the emergent bulk region is the so-called entanglement wedge of the given boundary subregion. However, motivated from the complex pseudo-entropy in Euclidean conformal field theories (CFT), one can talk about a `timelike entanglement' in Lorentzian CFTs dual to AdS spacetimes. One can then utilize this boundary timelike entanglement to define a boundary `timelike modular Hamiltonian'. We use constraints involving these Hamiltonians in a manner similar to how it was used for spacelike cases, and write down bulk operators in regions which are not probed by an RT surface corresponding to a single CFT. In the context of two dimensional CFT, we re-derive the HKLL formulas for free bulk scalar fields in three examples: in AdS Poincar\'{e} patch, inside and outside of the AdS black hole, and for de Sitter flat slicings. In this method, one no longer requires the knowledge of bulk dynamics for sub-horizon holography.

11.18758

11.670004

12.77667

10.683913

11.820226

12.283711

11.365889

11.160042

10.673714

13.088945

10.553084

11.040005

11.446046

10.896556

10.859733

10.803843

10.605545

10.577768

10.742912

11.740515

10.87815

1506.04090

Horatiu Stefan Nastase

Jeff Murugan and Horatiu Nastase

A Nonabelian Particle-Vortex Duality

5 pages, no figures; explicit example corrected, typos corrected

null

10.1016/j.physletb.2015.12.046

null

hep-th

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

We define a nonabelian particle-vortex duality as a $3-$dimensional analogue of the usual $2-$dimensional worldsheet nonabelian T-duality. The transformation is defined in the presence of a global $SU(2)$ symmetry and, although derived from a string theoretic setting, we formulate it generally. We then apply it to so-called "semilocal strings" in an $SU(2)_{G}\times U(1)_{L}$ gauge theory, originally discovered in the context of cosmic string physics.

[ { "created": "Fri, 12 Jun 2015 18:06:11 GMT", "version": "v1" }, { "created": "Tue, 15 Sep 2015 16:03:09 GMT", "version": "v2" }, { "created": "Thu, 19 Nov 2015 11:32:24 GMT", "version": "v3" } ]

2015-12-23

[ [ "Murugan", "Jeff", "" ], [ "Nastase", "Horatiu", "" ] ]

We define a nonabelian particle-vortex duality as a $3-$dimensional analogue of the usual $2-$dimensional worldsheet nonabelian T-duality. The transformation is defined in the presence of a global $SU(2)$ symmetry and, although derived from a string theoretic setting, we formulate it generally. We then apply it to so-called "semilocal strings" in an $SU(2)_{G}\times U(1)_{L}$ gauge theory, originally discovered in the context of cosmic string physics.

8.868216

7.627862

8.90122

7.513977

7.264183

8.808667

7.908771

7.773622

7.422877

9.76895

8.049912

8.04005

8.320346

7.5871

7.786285

7.940051

7.802577

7.687407

7.605004

7.883573

7.805011

hep-th/9604174

Sergei Skorik

Topics in 2D integrable field theories with boundary interactions

120 pages, compressed LATEX sourse and 18 figures. To insert figures epsf.tex file is used

null

PhD dissertation, USC, May 1996

hep-th cond-mat

null

We study different aspects of integrable boundary quantum field theories, focusing mostly on the ``boundary sine-Gordon model'' and its applications to condensed matter physics. The first part of the review deals with formal problems. We analyze the classical limit and perform semi-classical quantization. We show that the non-relativistic limit corresponds to the Calogero-Moser model with a boundary potential. We construct a lattice regularization of the problem via the XXZ chain. We classify boundary bound states. We generalize the Destri de Vega method to compute the ground state energy of the theory on a finite interval. The second part deals with some applications to condensed matter physics. We show how to compute analytically time and space dependent correlations in one-dimensional quantum integrable systems with an impurity. Our approach is based on a description of these systems in terms of massless scattering of quasiparticles. Correlators follow then from matrix elements of local operators between multiparticle states -- the massless form-factors. Although, in general an infinite sum of these form-factors has to be considered, we find that for the current, spin and energy operators only a few (two or three) are necessary to obtain an accuracy of more than 1\%. Our results hold for arbitrary impurity strength, in contrary to the perturbative expansions in the coupling constants. As an example, we compute the frequency dependent condunctance, at zero temperature, in a Luttinger liquid with an impurity, and also discuss the susceptibility in the Kondo model and the time-dependent properties of the two-state problem with dissipation.

[ { "created": "Sun, 28 Apr 1996 03:56:37 GMT", "version": "v1" } ]

2007-05-23

[ [ "Skorik", "Sergei", "" ] ]

We study different aspects of integrable boundary quantum field theories, focusing mostly on the ``boundary sine-Gordon model'' and its applications to condensed matter physics. The first part of the review deals with formal problems. We analyze the classical limit and perform semi-classical quantization. We show that the non-relativistic limit corresponds to the Calogero-Moser model with a boundary potential. We construct a lattice regularization of the problem via the XXZ chain. We classify boundary bound states. We generalize the Destri de Vega method to compute the ground state energy of the theory on a finite interval. The second part deals with some applications to condensed matter physics. We show how to compute analytically time and space dependent correlations in one-dimensional quantum integrable systems with an impurity. Our approach is based on a description of these systems in terms of massless scattering of quasiparticles. Correlators follow then from matrix elements of local operators between multiparticle states -- the massless form-factors. Although, in general an infinite sum of these form-factors has to be considered, we find that for the current, spin and energy operators only a few (two or three) are necessary to obtain an accuracy of more than 1\%. Our results hold for arbitrary impurity strength, in contrary to the perturbative expansions in the coupling constants. As an example, we compute the frequency dependent condunctance, at zero temperature, in a Luttinger liquid with an impurity, and also discuss the susceptibility in the Kondo model and the time-dependent properties of the two-state problem with dissipation.

8.953319

9.967371

11.191648

9.147577

10.168277

9.956929

10.331545

9.460745

8.825292

10.806746

9.272097

8.810048

9.259094

8.879226

8.97945

8.817761

9.007303

8.983965

8.899014

9.233349

8.869622

hep-th/0601199

Augusto Sagnotti

D. Francia (AEI Institute and Roma Tre) and A. Sagnotti (CERN and Scuola Normale Superiore)

Higher-Spin Geometry and String Theory

Contribution to the Proceedings of QG05 (Cala Gonone, Sept. 11-16, 2005), 18 pages, Latex. References added

J.Phys.Conf.Ser.33:57,2006

10.1088/1742-6596/33/1/006

RM3-TH/06-2, AEI-2006-005, CERN-PH-TH/2006-009

hep-th

null

The theory of freely-propagating massless higher spins is usually formulated via gauge fields and parameters subject to trace constraints. We summarize a proposal allowing to forego them by introducing only a pair of additional fields in the Lagrangians. In this setting, external currents satisfy usual Noether-like conservation laws, the field equations can be nicely related to those emerging from Open String Field Theory in the low-tension limit, and if the additional fields are eliminated without reintroducing the constraints a geometric, non-local description of the theory manifests itself.

[ { "created": "Thu, 26 Jan 2006 20:22:47 GMT", "version": "v1" }, { "created": "Tue, 14 Feb 2006 11:56:23 GMT", "version": "v2" } ]

2015-06-26

[ [ "Francia", "D.", "", "AEI Institute and Roma Tre" ], [ "Sagnotti", "A.", "", "CERN and\n Scuola Normale Superiore" ] ]

The theory of freely-propagating massless higher spins is usually formulated via gauge fields and parameters subject to trace constraints. We summarize a proposal allowing to forego them by introducing only a pair of additional fields in the Lagrangians. In this setting, external currents satisfy usual Noether-like conservation laws, the field equations can be nicely related to those emerging from Open String Field Theory in the low-tension limit, and if the additional fields are eliminated without reintroducing the constraints a geometric, non-local description of the theory manifests itself.

28.795731

24.332188

30.564236

23.833462

28.211683

24.908718

25.896542

25.502918

23.677681

29.319994

26.24452

25.328133

27.272453

24.967382

23.87822

26.002113

24.113997

24.549448

24.24288

27.303858

25.889761

0902.1471

Vladimir Alexandrovich Krykhtin

I.L. Buchbinder, V.A. Krykhtin, L.L. Ryskina

Lagrangian formulation of massive fermionic totally antisymmetric tensor field theory in AdS_d space

22 pages; v2: 1 footnote and 2 references added

Nucl.Phys.B819:453-477,2009

10.1016/j.nuclphysb.2009.04.014

null

hep-th

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

We apply the BRST approach, developed for higher spin field theories, to Lagrangian construction for totally antisymmetric massive fermionic fields in AdS_d space. As well as generic higher spin massive theories, the obtained Lagrangian theory is a reducible gauge model containing, besides the basic field, a number of auxiliary (Stuckelberg) fields and the order of reducibility grows with the value of the rank of the antisymmetric field. However, unlike the generic higher spin theory, for the special case under consideration we show that one can get rid of all the auxiliary fields and the final Lagrangian for fermionic antisymmetric field is formulated only in terms of basic field.

[ { "created": "Mon, 9 Feb 2009 16:43:51 GMT", "version": "v1" }, { "created": "Sun, 22 Feb 2009 13:57:57 GMT", "version": "v2" } ]

2009-06-19

[ [ "Buchbinder", "I. L.", "" ], [ "Krykhtin", "V. A.", "" ], [ "Ryskina", "L. L.", "" ] ]

We apply the BRST approach, developed for higher spin field theories, to Lagrangian construction for totally antisymmetric massive fermionic fields in AdS_d space. As well as generic higher spin massive theories, the obtained Lagrangian theory is a reducible gauge model containing, besides the basic field, a number of auxiliary (Stuckelberg) fields and the order of reducibility grows with the value of the rank of the antisymmetric field. However, unlike the generic higher spin theory, for the special case under consideration we show that one can get rid of all the auxiliary fields and the final Lagrangian for fermionic antisymmetric field is formulated only in terms of basic field.

8.591608

7.509002

9.370931

7.174137

7.849841

7.803109

7.334117

7.579973

7.078204

9.09513

7.370799

7.500344

8.213126

7.799438

7.710811

7.853787

7.533601

7.566824

7.523168

7.936169

7.604372

0906.3219

Yuji Tachikawa

Luis F. Alday, Davide Gaiotto and Yuji Tachikawa

Liouville Correlation Functions from Four-dimensional Gauge Theories

32 pages, 8 figures; v2: minor corrections, published version

Lett.Math.Phys.91:167-197,2010

10.1007/s11005-010-0369-5

null

hep-th

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

We conjecture an expression for the Liouville theory conformal blocks and correlation functions on a Riemann surface of genus g and n punctures as the Nekrasov partition function of a certain class of N=2 SCFTs recently defined by one of the authors. We conduct extensive tests of the conjecture at genus 0,1.

[ { "created": "Wed, 17 Jun 2009 15:51:28 GMT", "version": "v1" }, { "created": "Tue, 9 Feb 2010 15:57:35 GMT", "version": "v2" } ]

2010-02-11

[ [ "Alday", "Luis F.", "" ], [ "Gaiotto", "Davide", "" ], [ "Tachikawa", "Yuji", "" ] ]

We conjecture an expression for the Liouville theory conformal blocks and correlation functions on a Riemann surface of genus g and n punctures as the Nekrasov partition function of a certain class of N=2 SCFTs recently defined by one of the authors. We conduct extensive tests of the conjecture at genus 0,1.

5.795879

4.855254

7.516918

5.186267

5.504846

5.468718

5.380819

4.961342

5.273011

7.171852

5.428306

5.322341

7.050869

5.679843

5.485788

5.523667

5.143873

5.459448

5.565514

7.282786

5.384039

hep-th/0503237

Tadashi Takayanagi

c < 1 String from Two Dimensional Black Holes

36 pages, harvmac; acknowledgements, comments and references added

JHEP 0507 (2005) 050

10.1088/1126-6708/2005/07/050

HUTP-05/A0015

hep-th

null

We study a topological string description of the c < 1 non-critical string whose matter part is defined by the time-like linear dilaton CFT. We show that the topologically twisted N=2 SL(2,R)/U(1) model (or supersymmetric 2D black hole) is equivalent to the c < 1 non-critical string compactified at a specific radius by comparing their physical spectra and correlation functions. We examine another equivalent description in the topological Landau-Ginzburg model and check that it reproduces the same scattering amplitudes. We also discuss its matrix model dual description.

[ { "created": "Thu, 31 Mar 2005 03:00:43 GMT", "version": "v1" }, { "created": "Mon, 4 Apr 2005 17:50:54 GMT", "version": "v2" }, { "created": "Mon, 18 Apr 2005 22:31:59 GMT", "version": "v3" } ]

2009-11-11

[ [ "Takayanagi", "Tadashi", "" ] ]

We study a topological string description of the c < 1 non-critical string whose matter part is defined by the time-like linear dilaton CFT. We show that the topologically twisted N=2 SL(2,R)/U(1) model (or supersymmetric 2D black hole) is equivalent to the c < 1 non-critical string compactified at a specific radius by comparing their physical spectra and correlation functions. We examine another equivalent description in the topological Landau-Ginzburg model and check that it reproduces the same scattering amplitudes. We also discuss its matrix model dual description.

9.31939

6.262618

9.34811

7.46968

6.880309

6.928199

6.572716

7.019559

6.683575

10.059238

7.4248

7.584809

8.509009

8.095843

7.875164

7.769946

7.844067

7.777884

7.880688

8.503031

7.720387

hep-th/0402204

Ignacio Navarro

Ignacio Navarro and Jose Santiago

Higher codimension braneworlds from intersecting branes

20 pages; v2. references and comments added to match the published version

JHEP 0404 (2004) 062

10.1088/1126-6708/2004/04/062

null

hep-th gr-qc hep-ph

null

We study the matching conditions of intersecting brane worlds in Lovelock gravity in arbitrary dimension. We show that intersecting various codimension 1 and/or codimension 2 branes one can find solutions that represent energy-momentum densities localized in the intersection, providing thus the first examples of infinitesimally thin higher codimension braneworlds that are free of singularities and where the backreaction of the brane in the background is fully taken into account.

[ { "created": "Wed, 25 Feb 2004 15:28:37 GMT", "version": "v1" }, { "created": "Fri, 7 May 2004 11:36:41 GMT", "version": "v2" } ]

2009-11-10

[ [ "Navarro", "Ignacio", "" ], [ "Santiago", "Jose", "" ] ]

We study the matching conditions of intersecting brane worlds in Lovelock gravity in arbitrary dimension. We show that intersecting various codimension 1 and/or codimension 2 branes one can find solutions that represent energy-momentum densities localized in the intersection, providing thus the first examples of infinitesimally thin higher codimension braneworlds that are free of singularities and where the backreaction of the brane in the background is fully taken into account.

10.438476

10.534696

9.602389

9.004104

10.16004

9.622662

9.662193

9.055251

10.185414

9.307621

9.356521

10.154528

9.372153

9.892039

10.01343

9.618144

9.858327

9.41162

9.590952

9.658997

10.003088

0807.2861

Igor Shenderovich

Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections

v3: some misprints corrected

null

hep-th

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

We study giant magnon solutions in AdS4 \times CP3. We compute quantum corrections to their dispersion relation. We find out that the one--loop correction vanishes in infinite volume. This implies that the interpolating function h(\lambda) between strong and weak coupling regimes does not have a constant term \lambda^0 at strong coupling. We also compute first nonvanishing finite volume correction to the one--loop expression. When compared to the L\"{u}sher formula, our results could provide a nontrivial check of the AdS4 \times CP3 S--matrix proposed recently in arXiv:0807.1924.

[ { "created": "Thu, 17 Jul 2008 19:53:50 GMT", "version": "v1" }, { "created": "Fri, 1 Aug 2008 08:03:00 GMT", "version": "v2" }, { "created": "Tue, 16 Sep 2008 21:31:02 GMT", "version": "v3" } ]

2008-09-17

[ [ "Shenderovich", "Igor", "" ] ]

We study giant magnon solutions in AdS4 \times CP3. We compute quantum corrections to their dispersion relation. We find out that the one--loop correction vanishes in infinite volume. This implies that the interpolating function h(\lambda) between strong and weak coupling regimes does not have a constant term \lambda^0 at strong coupling. We also compute first nonvanishing finite volume correction to the one--loop expression. When compared to the L\"{u}sher formula, our results could provide a nontrivial check of the AdS4 \times CP3 S--matrix proposed recently in arXiv:0807.1924.

8.982652

8.276774

11.01163

7.909473

8.585301

8.754541

9.060751

8.797795

8.786128

12.608013

8.508228

8.979304

9.589936

8.600745

8.82993

8.302511

8.889145

8.569195

8.896859

9.541692

9.111036

1003.0209

Ipsita Mandal

Supersymmetric Extension of GCA in 2d

La TeX file, 32 pages; v2: typos corrected, journal version

JHEP 1011:018,2010

10.1007/JHEP11(2010)018

HRI/ST/1004

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

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

We derive the infinite dimensional Supersymmetric Galilean Conformal Algebra (SGCA) in the case of two spacetime dimensions by performing group contraction on 2d superconformal algebra. We also obtain the representations of the generators in terms of superspace coordinates. Here we find realisations of the SGCA by considering scaling limits of certain 2d SCFTs which are non-unitary and have their left and right central charges become large in magnitude and opposite in sign. We focus on the Neveu-Schwarz sector of the parent SCFTs and develop, in parallel to the GCA studies recently in (arXiv:0912.1090), the representation theory based on SGCA primaries, Ward identities for their correlation functions and their descendants which are null states.

[ { "created": "Mon, 1 Mar 2010 15:33:24 GMT", "version": "v1" }, { "created": "Tue, 9 Nov 2010 03:40:42 GMT", "version": "v2" } ]

2010-11-10

[ [ "Mandal", "Ipsita", "" ] ]

We derive the infinite dimensional Supersymmetric Galilean Conformal Algebra (SGCA) in the case of two spacetime dimensions by performing group contraction on 2d superconformal algebra. We also obtain the representations of the generators in terms of superspace coordinates. Here we find realisations of the SGCA by considering scaling limits of certain 2d SCFTs which are non-unitary and have their left and right central charges become large in magnitude and opposite in sign. We focus on the Neveu-Schwarz sector of the parent SCFTs and develop, in parallel to the GCA studies recently in (arXiv:0912.1090), the representation theory based on SGCA primaries, Ward identities for their correlation functions and their descendants which are null states.

10.720329

9.110235

11.594378

9.303403

9.246258

8.979249

9.231776

9.06673

9.568833

12.667751

8.950526

9.951077

10.560703

9.753328

10.131443

9.792653

9.952763

9.849946

9.771502

11.22255

9.99057

1303.4038

Kevin E. Cahill

Kevin Cahill

Some nonrenormalizable theories are finite

20 pages, 9 figures. This version is that of Phys. Rev. D 88, 125014 (2013) with two typos fixed and the word energy changed to euclidian action in several places

Phys. Rev. D 88, 125014 (2013)

10.1103/PhysRevD.88.125014

null

hep-th

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

Some nonrenormalizable theories are less singular than all renormalizable theories, and one can use lattice simulations to extract physical information from them. This paper discusses four nonrenormalizable theories that have finite euclidian and minkowskian Green's functions. Two of them have finite euclidian action densities and describe scalar bosons of finite mass. The space of nonsingular nonrenormalizable theories is vast.

[ { "created": "Sun, 17 Mar 2013 07:27:52 GMT", "version": "v1" }, { "created": "Mon, 23 Sep 2013 21:56:38 GMT", "version": "v2" }, { "created": "Sat, 28 Dec 2013 03:46:32 GMT", "version": "v3" }, { "created": "Sun, 16 Nov 2014 22:53:20 GMT", "version": "v4" } ]

2014-11-18

[ [ "Cahill", "Kevin", "" ] ]

Some nonrenormalizable theories are less singular than all renormalizable theories, and one can use lattice simulations to extract physical information from them. This paper discusses four nonrenormalizable theories that have finite euclidian and minkowskian Green's functions. Two of them have finite euclidian action densities and describe scalar bosons of finite mass. The space of nonsingular nonrenormalizable theories is vast.

12.083675

9.753398

10.297097

10.441209

11.074638

10.671172

11.403863

11.529392

10.31389

10.8243

10.009716

10.093163

10.727839

10.165741

10.270504

10.164735

10.70648

10.472796

10.510067

11.843276

9.823066

hep-th/0701177

Sergey Fedoruk

Sergey Fedoruk, Evgeny Ivanov

New Model of Higher-Spin Particle

13 pages, talk given by E. Ivanov at the XII International Conference on Symmetry Methods in Physics (SYMPHYS-XII), Yerevan, Armenia, July 03 - 08, 2006; to be published in the Proceedings

Phys.Atom.Nucl.71:868-875,2008

10.1134/S1063778808050153

null

hep-th

null

We elaborate on a new model of the higher-spin (HS) particle which makes manifest the classical equivalence of the HS particle of the unfolded formulation and the HS particle model with a bosonic counterpart of supersymmetry. Both these models emerge as two different gauges of the new master system. Physical states of the master model are massless HS multiplets described by complex HS fields which carry an extra U(1) charge q. The latter fully characterizes the given multiplet by fixing the minimal helicity as q/2. We construct the twistorial formulation of the master model and discuss symmetries of the new HS multiplets within its framework.

[ { "created": "Fri, 19 Jan 2007 10:05:28 GMT", "version": "v1" } ]

2008-11-26

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

We elaborate on a new model of the higher-spin (HS) particle which makes manifest the classical equivalence of the HS particle of the unfolded formulation and the HS particle model with a bosonic counterpart of supersymmetry. Both these models emerge as two different gauges of the new master system. Physical states of the master model are massless HS multiplets described by complex HS fields which carry an extra U(1) charge q. The latter fully characterizes the given multiplet by fixing the minimal helicity as q/2. We construct the twistorial formulation of the master model and discuss symmetries of the new HS multiplets within its framework.

13.60635

11.162276

15.311718

11.886956

11.07736

10.392121

11.591474

11.838883

11.760117

14.044104

11.602633

12.46478

13.626458

12.242936

12.576246

12.234806

12.537453

12.635849

12.231205

13.139282

12.112924

hep-th/9307026

null

Anton Alekseev and Ivan Todorov

Quadratic brackets from symplectic forms

16 pages

Nucl.Phys. B421 (1994) 413-428

10.1016/0550-3213(94)90334-4

null

hep-th

null

We give a physicist oriented survey of Poisson-Lie symmetries of classical systems. We consider finite dimensional geometric actions and the chiral WZNW model as examples for the general construction. An essential point is that quadratic Poisson bracets appear for group--like variables. It is believed that after quantization they lead to quadratic exchange algebras.

[ { "created": "Mon, 5 Jul 1993 13:08:00 GMT", "version": "v1" } ]

2009-10-22

[ [ "Alekseev", "Anton", "" ], [ "Todorov", "Ivan", "" ] ]

We give a physicist oriented survey of Poisson-Lie symmetries of classical systems. We consider finite dimensional geometric actions and the chiral WZNW model as examples for the general construction. An essential point is that quadratic Poisson bracets appear for group--like variables. It is believed that after quantization they lead to quadratic exchange algebras.

18.419203

20.135527

22.591499

17.361288

23.053854

20.756447

21.104025

17.302771

16.037853

24.490004

17.604794

17.614025

19.435278

18.188786

17.343304

18.309755

16.16184

17.618944

18.023298

19.02371

17.502514

hep-th/9509053

Douglas A. Singleton

Douglas Singleton and Atsushi Yoshida

Increasing Potentials in Non-Abelian and Abelian Gauge Theories

11 pages LaTeX

Int.J.Mod.Phys. A12 (1997) 4823-4830

10.1142/S0217751X97002565

null

hep-th

null

An exact solution for an SU(2) Yang-Mills field coupled to a scalar field is given. This solution has potentials with a linear and Coulomb part. This may have some physical importance since many phenomenological QCD studies assume a linear plus Coulomb potential. Usually the linear potential is motivated with lattice gauge theory arguments. Here the linear potential is an exact result of the field equations. We also show that in the Nielsen-Olesen Abelian model there is an exact solution in the BPS limit which has a Coulomb-like electromagnetic field and a logarithmically rising scalar field. Both of these solutions must be cut off from above to avoid infinite field energy.

[ { "created": "Sun, 10 Sep 1995 19:51:33 GMT", "version": "v1" } ]

2009-10-28

[ [ "Singleton", "Douglas", "" ], [ "Yoshida", "Atsushi", "" ] ]

An exact solution for an SU(2) Yang-Mills field coupled to a scalar field is given. This solution has potentials with a linear and Coulomb part. This may have some physical importance since many phenomenological QCD studies assume a linear plus Coulomb potential. Usually the linear potential is motivated with lattice gauge theory arguments. Here the linear potential is an exact result of the field equations. We also show that in the Nielsen-Olesen Abelian model there is an exact solution in the BPS limit which has a Coulomb-like electromagnetic field and a logarithmically rising scalar field. Both of these solutions must be cut off from above to avoid infinite field energy.

10.911431

10.103213

10.146525

9.389507

10.736835

10.694974

10.441458

9.84439

9.427086

11.231093

10.117305

9.741607

10.131364

9.741418

10.097352

9.979571

9.762715

9.580213

9.832607

10.349223

9.901217

hep-th/0510098

Troels Harmark

T. Harmark and N.A. Obers

Thermodynamics of the Near-Extremal NS5-brane

22 pages, 6 figures. v2: Added clarifying remarks on relation to previous work on thermodynamics of NS5-brane. Refs added

Nucl.Phys.B742:41-58,2006

10.1016/j.nuclphysb.2006.01.045

null

hep-th

null

We consider the thermodynamics of the near-extremal NS5-brane in type IIA string theory. The central tool we use is to map phases of six-dimensional Kaluza-Klein black holes to phases of near-extremal M5-branes with a transverse circle in eleven-dimensional supergravity. By S-duality these phases correspond to phases of the near-extremal type IIA NS5-brane. One of our main results is that in the canonical ensemble the usual near-extremal NS5-brane background, dual to a uniformly smeared near-extremal M5-brane, is subdominant to a new background of near-extremal M5-branes localized on the transverse circle. This new stable phase has a limiting temperature, which lies above the Hagedorn temperature of the usual NS5-brane phase. We discuss the limiting temperature and compare the different behavior of the NS5-brane in the canonical and microcanonical ensembles. We also briefly comment on the thermodynamics of near-extremal Dp-branes on a transverse circle.

[ { "created": "Wed, 12 Oct 2005 13:30:05 GMT", "version": "v1" }, { "created": "Tue, 25 Oct 2005 13:36:43 GMT", "version": "v2" } ]

2008-11-26

[ [ "Harmark", "T.", "" ], [ "Obers", "N. A.", "" ] ]

We consider the thermodynamics of the near-extremal NS5-brane in type IIA string theory. The central tool we use is to map phases of six-dimensional Kaluza-Klein black holes to phases of near-extremal M5-branes with a transverse circle in eleven-dimensional supergravity. By S-duality these phases correspond to phases of the near-extremal type IIA NS5-brane. One of our main results is that in the canonical ensemble the usual near-extremal NS5-brane background, dual to a uniformly smeared near-extremal M5-brane, is subdominant to a new background of near-extremal M5-branes localized on the transverse circle. This new stable phase has a limiting temperature, which lies above the Hagedorn temperature of the usual NS5-brane phase. We discuss the limiting temperature and compare the different behavior of the NS5-brane in the canonical and microcanonical ensembles. We also briefly comment on the thermodynamics of near-extremal Dp-branes on a transverse circle.

5.460042

5.145752

5.807166

5.276564

5.037991

5.286109

5.206629

5.031433

4.876552

5.797515

5.050944

5.258295

5.489756

5.173965

5.411526

5.163933

5.156387

5.239062

5.325735

5.595386

5.200893

hep-th/0407229

O.-Kab Kwon

Rabin Banerjee, Yoonbai Kim, O-Kab Kwon

Noncommutative Tachyon Kinks as D$(p-1)$-branes from Unstable D$p$-brane

29 pages, references added

JHEP 0501:023,2005

10.1088/1126-6708/2005/01/023

null

hep-th

null

We study noncommutative (NC) field theory of a real NC tachyon and NC U(1) gauge field, describing the dynamics of an unstable D$p$-brane. For every given set of diagonal component of open string metric $G_{0}$, NC parameter $\theta_{0}$, and interpolating electric field ${\hat E}$, we find all possible static NC kinks as exact solutions, in spite of complicated NC terms, which are classified by an array of NC kink-antikink and topological NC kinks. By computing their tensions and charges, those configurations are identified as an array of D0${\bar {\rm D}}$0 and single stable D0 from the unstable D1, respectively. When the interpolating electric field has critical value as $G_{0}^{2}={\hat E}^{2}$, the obtained topological kink becomes a BPS object with nonzero thickness and is identified as BPS D0 in the fluid of fundamental strings. Particularly in the scaling limit of infinite $\theta_{0}$ and vanishing $G_{0}$ and ${\hat E}$, while keeping $G_{0}\theta_{0}={\hat E}\theta_{0}=1$, finiteness of the tension of NC kink corresponds to tensionless kink in ordinary effective field theory. An extension to stable D$(p-1)$ from unstable D$p$ is straightforward for pure electric cases with parallel NC parameter and interpolating two-form field.

[ { "created": "Tue, 27 Jul 2004 12:57:48 GMT", "version": "v1" }, { "created": "Tue, 3 Aug 2004 14:24:48 GMT", "version": "v2" } ]

2010-02-03

[ [ "Banerjee", "Rabin", "" ], [ "Kim", "Yoonbai", "" ], [ "Kwon", "O-Kab", "" ] ]

We study noncommutative (NC) field theory of a real NC tachyon and NC U(1) gauge field, describing the dynamics of an unstable D$p$-brane. For every given set of diagonal component of open string metric $G_{0}$, NC parameter $\theta_{0}$, and interpolating electric field ${\hat E}$, we find all possible static NC kinks as exact solutions, in spite of complicated NC terms, which are classified by an array of NC kink-antikink and topological NC kinks. By computing their tensions and charges, those configurations are identified as an array of D0${\bar {\rm D}}$0 and single stable D0 from the unstable D1, respectively. When the interpolating electric field has critical value as $G_{0}^{2}={\hat E}^{2}$, the obtained topological kink becomes a BPS object with nonzero thickness and is identified as BPS D0 in the fluid of fundamental strings. Particularly in the scaling limit of infinite $\theta_{0}$ and vanishing $G_{0}$ and ${\hat E}$, while keeping $G_{0}\theta_{0}={\hat E}\theta_{0}=1$, finiteness of the tension of NC kink corresponds to tensionless kink in ordinary effective field theory. An extension to stable D$(p-1)$ from unstable D$p$ is straightforward for pure electric cases with parallel NC parameter and interpolating two-form field.

9.574158

9.753319

10.957677

9.373802

10.030897

9.823724

9.843908

9.749237

9.713398

10.811698

9.456819

9.62959

10.100523

9.725568

9.678477

9.752586

9.375113

9.251095

9.381153

10.706873

9.384917

hep-th/9212066

Sun Chang Pu

Chang-Pu Sun

Exotic Quantum Double,Its Universal R-matrix And Their Representations

19 pages,ITP.SB-9271

J.Math.Phys. 34 (1993) 3440-3452

10.1063/1.530035

null

hep-th

null

The exotic quantum double and its universal R-matrix for quantum Yang-Baxter equation are constructed in terms of Drinfeld's quantum double theory.As a new quasi-triangular Hopf algebra, it is much different from those standard quantum doubles that are the q-deformations for Lie algebras or Lie superalgebras. By studying its representation theory,many-parameter representations of the exotic quantum double are obtained with an explicit example associated with Lie algebra $A_2$ .The multi-parameter R-matrices for the quantum Yang-Baxter equation can result from the universal R-matrix of this exotic quantum double and these representattions.

[ { "created": "Thu, 10 Dec 1992 19:50:52 GMT", "version": "v1" } ]

2009-10-22

[ [ "Sun", "Chang-Pu", "" ] ]

The exotic quantum double and its universal R-matrix for quantum Yang-Baxter equation are constructed in terms of Drinfeld's quantum double theory.As a new quasi-triangular Hopf algebra, it is much different from those standard quantum doubles that are the q-deformations for Lie algebras or Lie superalgebras. By studying its representation theory,many-parameter representations of the exotic quantum double are obtained with an explicit example associated with Lie algebra $A_2$ .The multi-parameter R-matrices for the quantum Yang-Baxter equation can result from the universal R-matrix of this exotic quantum double and these representattions.

12.030707

12.177958

13.950765

10.197941

11.915365

10.942682

10.556237

10.947079

10.524972

12.349471

10.803341

10.927899

11.673424

11.296521

10.757054

11.254025

10.546308

11.251887

10.983543

11.016882

11.175623

2202.10473

Pablo Antonio Cano Molina-Ni\~nirola

Pablo A. Cano, \'Angel Murcia, Alberto Rivadulla S\'anchez, Xuao Zhang

Higher-derivative holography with a chemical potential

v3: matches version accepted in JHEP

null

10.1007/JHEP07(2022)010

IFT-UAM/CSIC-22-20

hep-th

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

We carry out an extensive study of the holographic aspects of any-dimensional higher-derivative Einstein-Maxwell theories in a fully analytic and non-perturbative fashion. We achieve this by introducing the $d$-dimensional version of Electromagnetic Quasitopological gravities: higher-derivative theories of gravity and electromagnetism that propagate no additional degrees of freedom and that allow one to study charged black hole solutions analytically. These theories contain non-minimal couplings, that in the holographic context give rise to a modified $\langle JJ\rangle$ correlator as well as to a general $\langle TJJ \rangle$ structure whose coefficients we compute. We constrain the couplings of the theory by imposing CFT unitarity and positivity of energy (which we show to be equivalent to causality in the bulk) as well as positive-entropy bounds from the weak gravity conjecture. The thermodynamic properties of the dual plasma at finite chemical potential are studied in detail, and we find that exotic zeroth-order phase transitions may appear, but that many of them are ruled out by the physical constraints. We further compute the shear viscosity to entropy density ratio, and we show that it can be taken to zero while respecting all the constraints, providing that the chemical potential is large enough. We also obtain the charged R\'enyi entropies and we observe that the chemical potential always increases the amount of entanglement and that the usual properties of R\'enyi entropies are preserved if the physical constraints are met. Finally, we compute the scaling dimension and magnetic response of twist operators and we provide a holographic derivation of the universal relations between the expansion of these quantities and the coefficients of $\langle JJ\rangle$ and $\langle TJJ \rangle$.

[ { "created": "Mon, 21 Feb 2022 19:00:01 GMT", "version": "v1" }, { "created": "Mon, 7 Mar 2022 13:45:06 GMT", "version": "v2" }, { "created": "Fri, 1 Jul 2022 10:16:52 GMT", "version": "v3" } ]

2022-07-13

[ [ "Cano", "Pablo A.", "" ], [ "Murcia", "Ángel", "" ], [ "Sánchez", "Alberto Rivadulla", "" ], [ "Zhang", "Xuao", "" ] ]

We carry out an extensive study of the holographic aspects of any-dimensional higher-derivative Einstein-Maxwell theories in a fully analytic and non-perturbative fashion. We achieve this by introducing the $d$-dimensional version of Electromagnetic Quasitopological gravities: higher-derivative theories of gravity and electromagnetism that propagate no additional degrees of freedom and that allow one to study charged black hole solutions analytically. These theories contain non-minimal couplings, that in the holographic context give rise to a modified $\langle JJ\rangle$ correlator as well as to a general $\langle TJJ \rangle$ structure whose coefficients we compute. We constrain the couplings of the theory by imposing CFT unitarity and positivity of energy (which we show to be equivalent to causality in the bulk) as well as positive-entropy bounds from the weak gravity conjecture. The thermodynamic properties of the dual plasma at finite chemical potential are studied in detail, and we find that exotic zeroth-order phase transitions may appear, but that many of them are ruled out by the physical constraints. We further compute the shear viscosity to entropy density ratio, and we show that it can be taken to zero while respecting all the constraints, providing that the chemical potential is large enough. We also obtain the charged R\'enyi entropies and we observe that the chemical potential always increases the amount of entanglement and that the usual properties of R\'enyi entropies are preserved if the physical constraints are met. Finally, we compute the scaling dimension and magnetic response of twist operators and we provide a holographic derivation of the universal relations between the expansion of these quantities and the coefficients of $\langle JJ\rangle$ and $\langle TJJ \rangle$.

8.051959

8.099106

8.445273

7.659702

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8.06865

7.737493

7.660131

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7.500156

7.847406

7.999184

7.578151

7.771265

7.783128

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7.658302

7.6698

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7.829682