LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1704.05740

Pujian Mao

Pujian Mao and Jun-Bao Wu

Note on asymptotic symmetries and soft gluon theorems

v3: minor corrections, published version

Phys. Rev. D 96, 065023 (2017)

10.1103/PhysRevD.96.065023

CJQS-2017-005

hep-th

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

Recently, the leading soft gluon theorem with single soft emission was shown to be the Ward identity of a two dimensional $\cal G$-Kac-Moody symmetry. In this note, we show that the leading soft gluon theorem can be interpreted as the Ward identity for the asymptotic symmetries of non-Abelian gauge theory. We further argue that the sub-leading soft gluon theorem can follow from the same symmetry.

[ { "created": "Wed, 19 Apr 2017 14:16:38 GMT", "version": "v1" }, { "created": "Tue, 25 Apr 2017 16:24:24 GMT", "version": "v2" }, { "created": "Wed, 27 Sep 2017 05:15:54 GMT", "version": "v3" } ]

2021-10-12

[ [ "Mao", "Pujian", "" ], [ "Wu", "Jun-Bao", "" ] ]

Recently, the leading soft gluon theorem with single soft emission was shown to be the Ward identity of a two dimensional $\cal G$-Kac-Moody symmetry. In this note, we show that the leading soft gluon theorem can be interpreted as the Ward identity for the asymptotic symmetries of non-Abelian gauge theory. We further argue that the sub-leading soft gluon theorem can follow from the same symmetry.

8.639198

5.917123

7.265076

5.730348

5.942658

6.010437

5.82935

5.919773

5.830208

7.78933

6.058517

6.32849

6.913576

6.66286

6.402336

6.392632

6.638986

6.18569

6.620496

6.932134

6.76339

hep-th/9403148

Denis V. Juriev

D.Juriev (D.V.Yur'ev)

Infinite Dimensional Geometry and Quantum Field Theory of Strings. II. Infinite Dimensional Noncommutative Geometry of a Self-Interacting String Field

28 AMSTEX pages (revised version: typographical errors are excluded, minor corrections are made)

Russian J.Math.Phys. 4(3) (1996) 287-314

null

hep-th alg-geom funct-an math.AG math.FA

null

A geometric interpretation of quantum self-interacting string field theory is given. Relations between various approaches to the second quantization of an interacting string are described in terms of the geometric quantization. An algorithm to construct a quantum nonperturbative interacting string field theory in the quantum group formalism is proposed. problems of a metric background (in)dependence are discussed.

[ { "created": "Thu, 24 Mar 1994 12:29:43 GMT", "version": "v1" }, { "created": "Mon, 28 Mar 1994 08:14:28 GMT", "version": "v2" } ]

2008-02-03

[ [ "Juriev", "D.", "", "D.V.Yur'ev" ] ]

A geometric interpretation of quantum self-interacting string field theory is given. Relations between various approaches to the second quantization of an interacting string are described in terms of the geometric quantization. An algorithm to construct a quantum nonperturbative interacting string field theory in the quantum group formalism is proposed. problems of a metric background (in)dependence are discussed.

17.414158

15.900127

15.804707

15.692852

15.589161

17.267336

14.624724

14.462801

15.636755

20.313395

15.899806

16.0987

16.238066

15.126458

15.857246

15.881597

15.644713

15.743983

15.529002

15.740365

15.874348

2212.08715

Vincent G. J. Rodgers

Vincent G.J. Rodgers

From Virasoro Algebra to Cosmology

To be published in \textit{Particles, Fields, and Topology: Celebrating A.P. Balachandran,} a Festschrift volume for A.P. Balachandran (World Scientific Publishing Co., Singapore)

null

hep-th math-ph math.MP

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

Earlier work of Balachandran and friends provided a map from algebras to field theories. These methods provide insight into quantum gauge theories and anomalies. In this note we take the reader from the coadjoint representation of the Virasoro algebra to four- (and higher-) dimensional gravitation and cosmology. The protagonist in this story is a component of the projective connection, the diffeomorphism field, which straddles between the one-dimensional world of initial data in string theories to cosmology in four dimensions. We review mathematical intuition that ties projective geometry to the Virasoro algebra, the Thomas\textendash Whitehead (TW) gravitational action that gives the diffeomorphism field dynamics and the building blocks for gauge projective Dirac action.

[ { "created": "Fri, 16 Dec 2022 21:24:44 GMT", "version": "v1" } ]

2022-12-20

[ [ "Rodgers", "Vincent G. J.", "" ] ]

Earlier work of Balachandran and friends provided a map from algebras to field theories. These methods provide insight into quantum gauge theories and anomalies. In this note we take the reader from the coadjoint representation of the Virasoro algebra to four- (and higher-) dimensional gravitation and cosmology. The protagonist in this story is a component of the projective connection, the diffeomorphism field, which straddles between the one-dimensional world of initial data in string theories to cosmology in four dimensions. We review mathematical intuition that ties projective geometry to the Virasoro algebra, the Thomas\textendash Whitehead (TW) gravitational action that gives the diffeomorphism field dynamics and the building blocks for gauge projective Dirac action.

19.892704

21.070421

20.196247

19.095207

22.278826

23.503544

21.720047

23.026525

19.735546

19.778728

19.66795

20.056356

19.912066

19.05485

19.366377

19.686569

19.956161

18.641468

18.844814

18.701454

18.627811

hep-th/0312311

Axel Krause

Axel Krause (Maryland U.)

Black Holes, Space-Filling Chains and Random Walks

18 pages, 4 figures, 2 tables; v2 and v3: minor changes and refs. added

Int.J.Mod.Phys. A21 (2006) 5793-5806

10.1142/S0217751X06033982

UMD-PP-04-023

hep-th

null

Many approaches to a semiclassical description of gravity lead to an integer black hole entropy. In four dimensions this implies that the Schwarzschild radius obeys a formula which describes the distance covered by a Brownian random walk. For the higher-dimensional Schwarzschild-Tangherlini black hole, its radius relates similarly to a fractional Brownian walk. We propose a possible microscopic explanation for these random walk structures based on microscopic chains which fill the interior of the black hole.

[ { "created": "Tue, 30 Dec 2003 17:12:21 GMT", "version": "v1" }, { "created": "Wed, 10 Mar 2004 22:59:50 GMT", "version": "v2" }, { "created": "Sun, 30 Jul 2006 19:08:28 GMT", "version": "v3" } ]

2009-11-10

[ [ "Krause", "Axel", "", "Maryland U." ] ]

Many approaches to a semiclassical description of gravity lead to an integer black hole entropy. In four dimensions this implies that the Schwarzschild radius obeys a formula which describes the distance covered by a Brownian random walk. For the higher-dimensional Schwarzschild-Tangherlini black hole, its radius relates similarly to a fractional Brownian walk. We propose a possible microscopic explanation for these random walk structures based on microscopic chains which fill the interior of the black hole.

15.496198

15.976671

14.370577

13.874659

15.071235

14.292924

14.800528

14.193338

13.470351

16.510952

15.201256

13.65401

13.22354

12.9948

13.850809

13.086246

13.139749

13.39768

13.600025

13.847404

14.587101

1206.5225

Ajay Singh

Robert C. Myers and Ajay Singh

Entanglement Entropy for Singular Surfaces

66 pages,4 figures. Some typos are removed and a reference is added

null

10.1007/JHEP09(2012)013

null

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

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

We study entanglement entropy for regions with a singular boundary in higher dimensions using the AdS/CFT correspondence and find that various singularities make new universal contributions. When the boundary CFT has an even spacetime dimension, we find that the entanglement entropy of a conical surface contains a term quadratic in the logarithm of the UV cut-off. In four dimensions, the coefficient of this contribution is proportional to the central charge 'c'. A conical singularity in an odd number of spacetime dimensions contributes a term proportional to the logarithm of the UV cut-off. We also study the entanglement entropy for various boundary surfaces with extended singularities. In these cases, similar universal terms may appear depending on the dimension and curvature of the singular locus.

[ { "created": "Fri, 22 Jun 2012 18:32:24 GMT", "version": "v1" }, { "created": "Wed, 8 Aug 2012 21:21:22 GMT", "version": "v2" } ]

2015-06-05

[ [ "Myers", "Robert C.", "" ], [ "Singh", "Ajay", "" ] ]

We study entanglement entropy for regions with a singular boundary in higher dimensions using the AdS/CFT correspondence and find that various singularities make new universal contributions. When the boundary CFT has an even spacetime dimension, we find that the entanglement entropy of a conical surface contains a term quadratic in the logarithm of the UV cut-off. In four dimensions, the coefficient of this contribution is proportional to the central charge 'c'. A conical singularity in an odd number of spacetime dimensions contributes a term proportional to the logarithm of the UV cut-off. We also study the entanglement entropy for various boundary surfaces with extended singularities. In these cases, similar universal terms may appear depending on the dimension and curvature of the singular locus.

7.197758

6.936805

7.788197

6.440817

7.055893

6.761497

6.714182

6.464024

6.465184

8.534226

6.487729

6.787145

7.29203

6.669435

6.995341

6.886628

6.779011

6.671201

6.624921

7.422463

6.585242

1106.4154

Henri Verschelde

H. Verschelde, V. I. Zakharov

Notes on relativistic superfluidity and gauge/string duality

22 pages

null

hep-th hep-ph

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

We consider selected topics of relativistic superfluidity within gauge/string duality. Non-relativistically, the only conservation law relevant to the hydrodynamic approximation is the energy-momentum conservation. Relativistically, one has to introduce an extra conserved U(1) current and an extra three-dimensional scalar field which is condensed. Finding out a proper U(1) symmetry becomes a crucial point. We emphasize that in dual models there do arise extra U(1) symmetries associated with wrapping of the strings around (extra) compact directions in Euclidean space-time. Moreover, if the geometry associated with an extra compact dimension is cigar-like then the corresponding U(1) symmetry could well be spontaneously broken. The emerging Goldstone particle survives in the hydrodynamic limit. A specific point is that the chemical potential conjugated with the corresponding U(1) charge is vanishing. Within the standard approach the vanishing chemical potential implies no superfluidity. We argue that an exotic liquid, introduced recently in the literature, with vanishing energy density and non-vanishing pressure represents a viable description of the liquid associated with 3d Goldstone particles in Euclidean space-time. Since it lives on the stretched membrane, it describes energy-momentum transport in the deep infrared. We discuss briefly possible applications to the quark-gluon plasma.

[ { "created": "Tue, 21 Jun 2011 09:51:17 GMT", "version": "v1" } ]

2011-06-22

[ [ "Verschelde", "H.", "" ], [ "Zakharov", "V. I.", "" ] ]

We consider selected topics of relativistic superfluidity within gauge/string duality. Non-relativistically, the only conservation law relevant to the hydrodynamic approximation is the energy-momentum conservation. Relativistically, one has to introduce an extra conserved U(1) current and an extra three-dimensional scalar field which is condensed. Finding out a proper U(1) symmetry becomes a crucial point. We emphasize that in dual models there do arise extra U(1) symmetries associated with wrapping of the strings around (extra) compact directions in Euclidean space-time. Moreover, if the geometry associated with an extra compact dimension is cigar-like then the corresponding U(1) symmetry could well be spontaneously broken. The emerging Goldstone particle survives in the hydrodynamic limit. A specific point is that the chemical potential conjugated with the corresponding U(1) charge is vanishing. Within the standard approach the vanishing chemical potential implies no superfluidity. We argue that an exotic liquid, introduced recently in the literature, with vanishing energy density and non-vanishing pressure represents a viable description of the liquid associated with 3d Goldstone particles in Euclidean space-time. Since it lives on the stretched membrane, it describes energy-momentum transport in the deep infrared. We discuss briefly possible applications to the quark-gluon plasma.

12.531891

13.394614

13.990588

12.605948

12.956303

13.205569

14.037994

12.742042

12.334097

14.232493

12.503241

12.132635

12.233722

11.729114

11.966183

12.121125

11.932837

12.164177

12.140277

12.452322

12.094764

1912.03855

E. Harikumar

E. Harikumar and Vishnu Rajagopal

Maximal acceleration in non-commutative space-time and its implications

16 pages, no figure

Annals of Physics 423(2020) 168332

10.1016/j.aop.2020.168332

null

hep-th

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

In this paper, we derive the non-commutative corrections to the maximal acceleration of a massive particle. Using the eight-dimensional kappa-deformed phase-space metric, we obtain the kappa-deformed maximal acceleration, valid up to first order in the deformation parameter. We then derive the kappa-deformed geodesic equation and obtain its Newtonian limit and from this obtain a bound on the deformation parameter. After re-expressing the kappa-deformed Schwarzschild metric in terms of maximal acceleration, we analyse the motion of a particle in this space-time, and also study the modifications to Hawking radiation. We also derive the kappa-deformed corrections to maximal acceleration using kappa-deformed generalised uncertainty principle.

[ { "created": "Mon, 9 Dec 2019 05:28:25 GMT", "version": "v1" }, { "created": "Tue, 22 Dec 2020 04:40:54 GMT", "version": "v2" } ]

2020-12-23

[ [ "Harikumar", "E.", "" ], [ "Rajagopal", "Vishnu", "" ] ]

In this paper, we derive the non-commutative corrections to the maximal acceleration of a massive particle. Using the eight-dimensional kappa-deformed phase-space metric, we obtain the kappa-deformed maximal acceleration, valid up to first order in the deformation parameter. We then derive the kappa-deformed geodesic equation and obtain its Newtonian limit and from this obtain a bound on the deformation parameter. After re-expressing the kappa-deformed Schwarzschild metric in terms of maximal acceleration, we analyse the motion of a particle in this space-time, and also study the modifications to Hawking radiation. We also derive the kappa-deformed corrections to maximal acceleration using kappa-deformed generalised uncertainty principle.

7.848381

7.139221

8.050899

6.87987

7.554504

6.895373

7.252539

6.992821

7.114978

8.082074

6.951647

7.513186

7.622321

7.487789

7.456714

7.242629

7.270999

7.141528

7.333282

7.614496

7.366269

hep-th/9405138

Gustav Delius

Anthony J. Bracken, Gustav W. Delius, Mark D. Gould, Yao-Zhong Zhang

Solutions to the Quantum Yang-Baxter Equation with Extra Non-Additive Parameters

13 pages

J.Phys. A27 (1994) 6551-6562

10.1088/0305-4470/27/19/025

UQMATH-94-03, BI-TP-94/23

hep-th math.QA

null

We present a systematic technique to construct solutions to the Yang-Baxter equation which depend not only on a spectral parameter but in addition on further continuous parameters. These extra parameters enter the Yang-Baxter equation in a similar way to the spectral parameter but in a non-additive form. We exploit the fact that quantum non-compact algebras such as $U_q(su(1,1))$ and type-I quantum superalgebras such as $U_q(gl(1|1))$ and $U_q(gl(2|1))$ are known to admit non-trivial one-parameter families of infinite-dimensional and finite dimensional irreps, respectively, even for generic $q$. We develop a technique for constructing the corresponding spectral-dependent R-matrices. As examples we work out the the $R$-matrices for the three quantum algebras mentioned above in certain representations.

[ { "created": "Sat, 21 May 1994 16:43:58 GMT", "version": "v1" }, { "created": "Sun, 22 May 1994 16:23:37 GMT", "version": "v2" } ]

2009-10-28

[ [ "Bracken", "Anthony J.", "" ], [ "Delius", "Gustav W.", "" ], [ "Gould", "Mark D.", "" ], [ "Zhang", "Yao-Zhong", "" ] ]

We present a systematic technique to construct solutions to the Yang-Baxter equation which depend not only on a spectral parameter but in addition on further continuous parameters. These extra parameters enter the Yang-Baxter equation in a similar way to the spectral parameter but in a non-additive form. We exploit the fact that quantum non-compact algebras such as $U_q(su(1,1))$ and type-I quantum superalgebras such as $U_q(gl(1|1))$ and $U_q(gl(2|1))$ are known to admit non-trivial one-parameter families of infinite-dimensional and finite dimensional irreps, respectively, even for generic $q$. We develop a technique for constructing the corresponding spectral-dependent R-matrices. As examples we work out the the $R$-matrices for the three quantum algebras mentioned above in certain representations.

5.969634

6.22347

6.767806

5.83554

6.417307

5.922354

6.364664

5.842279

5.749695

7.24187

5.465432

5.748546

6.121387

5.765863

5.857857

5.840623

5.672162

5.634345

5.677331

5.835438

5.564547

hep-th/0010226

Grigore Dan

Dan Radu Grigore

The Renormalization of the Non-Abelian Gauge Theories in the Causal Approach

29 pages, LATEX 2e, essentially rewritten paper

null

hep-th

null

We consider the gauge invariance of the standard Yang-Mills model in the framework of the causal approach of Epstein-Glaser and Scharf and determine the generic form of the anomalies. The method used is based Epstein-Glaser approach to renormalization theory. In the case of quantum electrodynamics we obtain quite easily the absence of anomalies in all orders.

[ { "created": "Wed, 25 Oct 2000 10:07:03 GMT", "version": "v1" }, { "created": "Mon, 12 Mar 2001 12:37:25 GMT", "version": "v2" } ]

2007-05-23

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

We consider the gauge invariance of the standard Yang-Mills model in the framework of the causal approach of Epstein-Glaser and Scharf and determine the generic form of the anomalies. The method used is based Epstein-Glaser approach to renormalization theory. In the case of quantum electrodynamics we obtain quite easily the absence of anomalies in all orders.

11.395831

9.329901

12.039491

9.81887

8.528151

8.656822

9.755992

9.83038

9.332839

12.469828

9.734915

10.385771

10.886769

10.027431

10.687643

10.487808

10.204499

10.642077

10.429769

10.637757

10.533337

2105.14017

Rose Baunach

Andreas Albrecht, Rose Baunach, Andrew Arrasmith

Einselection, Equilibrium and Cosmology

19 pages, 14 figures, 2 appendices. V2: Final version accepted for publication in PRD. A number of edits have been made to improve the clarity of our discussion. Our results and conclusions are unchanged

null

10.1103/PhysRevD.106.123507

null

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

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

Our observed Universe has a very strong arrow of time rooted in its low entropy starting point. This low entropy start can be related to various "tuning puzzles" about the early state of the Universe. Here we explore the relationship between the arrow of time and the emergence of classical from quantum in the hopes of ultimately gaining insights into cosmological initial conditions. Our focus is on einselection, the process whereby interactions with an environment select preferred states for a quantum system. This process plays an essential role in the emergence of classical from quantum. Studies of einselection have so far been limited to cases that exhibit an arrow of time. Here we study the ability of equilibrium systems to exhibit einselection -- and investigate whether detailed balance prevents this -- motivated by the question of whether classicality requires an arrow of time. We present calculations in the adapted Caldeira-Leggett model which demonstrate that einselection can indeed take place in equilibrium systems, and show how this phenomenon is tied to histories which express an arrow of time, despite the global equilibrium. We discuss some interesting implications of our results for cosmology and cosmological initial conditions. We are intrigued and a bit surprised by the role the consistent histories formalism has ended up playing in our analysis.

[ { "created": "Fri, 28 May 2021 17:50:55 GMT", "version": "v1" }, { "created": "Thu, 20 Oct 2022 06:55:42 GMT", "version": "v2" } ]

2022-12-28

[ [ "Albrecht", "Andreas", "" ], [ "Baunach", "Rose", "" ], [ "Arrasmith", "Andrew", "" ] ]

Our observed Universe has a very strong arrow of time rooted in its low entropy starting point. This low entropy start can be related to various "tuning puzzles" about the early state of the Universe. Here we explore the relationship between the arrow of time and the emergence of classical from quantum in the hopes of ultimately gaining insights into cosmological initial conditions. Our focus is on einselection, the process whereby interactions with an environment select preferred states for a quantum system. This process plays an essential role in the emergence of classical from quantum. Studies of einselection have so far been limited to cases that exhibit an arrow of time. Here we study the ability of equilibrium systems to exhibit einselection -- and investigate whether detailed balance prevents this -- motivated by the question of whether classicality requires an arrow of time. We present calculations in the adapted Caldeira-Leggett model which demonstrate that einselection can indeed take place in equilibrium systems, and show how this phenomenon is tied to histories which express an arrow of time, despite the global equilibrium. We discuss some interesting implications of our results for cosmology and cosmological initial conditions. We are intrigued and a bit surprised by the role the consistent histories formalism has ended up playing in our analysis.

10.36035

11.845331

11.58617

11.014779

11.183649

11.467955

12.495114

12.114298

11.389445

11.50255

10.574023

10.347644

10.224157

10.007709

10.193655

10.16784

10.474004

10.261062

10.160798

10.475951

10.507613

1204.0807

Marco Zagermann

Fri{\eth}rik Freyr Gautason, Daniel Junghans and Marco Zagermann

On Cosmological Constants from alpha'-Corrections

18 pages, no figures. v2: minor modifications, references added

JHEP 1206 (2012) 029

10.1007/JHEP06(2012)029

ITP-UH-08/12

hep-th

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

We examine to what extent perturbative alpha'-corrections can generate a small cosmological constant in warped string compactifications. Focusing on the heterotic string at lowest order in the string loop expansion, we show that, for a maximally symmetric spacetime, the alpha'-corrected 4D scalar potential has no effect on the cosmological constant. The only relevant terms are instead higher order products of 4D Riemann tensors, which, however, are found to vanish in the usual perturbative regime of the alpha'-expansion. The heterotic string therefore only allows for 4D Minkowski vacua to all orders in alpha', unless one also introduces string loop and/or nonperturbative corrections or allows for curvatures or field strengths that are large in string units. In particular, we find that perturbative alpha'-effects cannot induce weakly curved AdS_4 solutions.

[ { "created": "Tue, 3 Apr 2012 20:35:41 GMT", "version": "v1" }, { "created": "Fri, 17 Aug 2012 10:49:01 GMT", "version": "v2" } ]

2012-08-20

[ [ "Gautason", "Friðrik Freyr", "" ], [ "Junghans", "Daniel", "" ], [ "Zagermann", "Marco", "" ] ]

We examine to what extent perturbative alpha'-corrections can generate a small cosmological constant in warped string compactifications. Focusing on the heterotic string at lowest order in the string loop expansion, we show that, for a maximally symmetric spacetime, the alpha'-corrected 4D scalar potential has no effect on the cosmological constant. The only relevant terms are instead higher order products of 4D Riemann tensors, which, however, are found to vanish in the usual perturbative regime of the alpha'-expansion. The heterotic string therefore only allows for 4D Minkowski vacua to all orders in alpha', unless one also introduces string loop and/or nonperturbative corrections or allows for curvatures or field strengths that are large in string units. In particular, we find that perturbative alpha'-effects cannot induce weakly curved AdS_4 solutions.

7.339813

7.222227

8.589354

7.126434

7.058999

7.309956

7.197192

7.595813

7.168604

8.271281

7.163484

7.150952

7.407352

6.897748

7.21324

7.016769

7.034004

7.017865

6.791582

7.116471

6.979648

1502.02329

Qing-Guo Huang

Tian-Fu Fu and Qing-Guo Huang

The four-point correlation function of graviton during inflation

21 pages, 7 figures; v2: minor revised, version accepted for publication in JHEP

null

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

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

We expand the Einstein-Hilbert action with a positive cosmological constant up to the fourth order in terms of gravity fluctuations, and then use the in-in formalism to calculate the four-point correlation function for gravitational waves, including both contact and exchange diagrams, generated during a period of exactly de Sitter expansion. In addition, we also present the general properties of the $n$-point function of graviton in terms of both circularly and linearly polarized states.

[ { "created": "Mon, 9 Feb 2015 01:58:22 GMT", "version": "v1" }, { "created": "Mon, 6 Jul 2015 08:28:53 GMT", "version": "v2" } ]

2015-07-07

[ [ "Fu", "Tian-Fu", "" ], [ "Huang", "Qing-Guo", "" ] ]

We expand the Einstein-Hilbert action with a positive cosmological constant up to the fourth order in terms of gravity fluctuations, and then use the in-in formalism to calculate the four-point correlation function for gravitational waves, including both contact and exchange diagrams, generated during a period of exactly de Sitter expansion. In addition, we also present the general properties of the $n$-point function of graviton in terms of both circularly and linearly polarized states.

10.090648

9.030179

8.286744

8.156189

8.314401

9.430518

9.155458

8.013103

8.262869

9.237412

9.316007

9.109445

8.645908

8.681207

8.647823

8.895811

8.892348

8.644832

8.772304

8.773805

8.995611

hep-th/9505154

Henrique Boschi Filho

H. Boschi-Filho and C. Farina

GENERALIZED THERMAL ZETA-FUNCTIONS

10 pages, latex, no figures

Phys.Lett. A205 (1995) 255-260

10.1016/0375-9601(95)00583-O

UFRJ-IF-FPC-008/95

hep-th

null

We calculate the partition function of a harmonic oscillator with quasi-periodic boundary conditions using the zeta-function method. This work generalizes a previous one by Gibbons and contains the usual bosonic and fermionic oscillators as particular cases. We give an alternative prescription for the analytic extension of the generalized Epstein function involved in the calculation of the generalized thermal zeta-functions. We also conjecture about the relation of our calculation to anyonic systems.

[ { "created": "Wed, 24 May 1995 18:58:24 GMT", "version": "v1" } ]

2009-10-28

[ [ "Boschi-Filho", "H.", "" ], [ "Farina", "C.", "" ] ]

We calculate the partition function of a harmonic oscillator with quasi-periodic boundary conditions using the zeta-function method. This work generalizes a previous one by Gibbons and contains the usual bosonic and fermionic oscillators as particular cases. We give an alternative prescription for the analytic extension of the generalized Epstein function involved in the calculation of the generalized thermal zeta-functions. We also conjecture about the relation of our calculation to anyonic systems.

12.094386

10.660268

12.199283

10.688573

12.550324

11.276906

13.379023

11.770461

11.268644

12.767043

10.696106

10.863153

12.069889

11.111124

11.29414

11.477942

11.164534

10.821894

10.99088

12.377503

10.892282

hep-th/9205010

null

L. Alvarez-Gaume and J.L.F. Barbon

A Proposal for $D>1$ Strings?

23pp

null

hep-th

null

Using the reduced formulation of large-N Quantum Field Theories we study strings in space-time dimensions higher than one. Some preliminary results concerning the possible string susceptibilities and general properties of the model are presented.

[ { "created": "Wed, 6 May 1992 15:51:43 GMT", "version": "v1" } ]

2007-05-23

[ [ "Alvarez-Gaume", "L.", "" ], [ "Barbon", "J. L. F.", "" ] ]

Using the reduced formulation of large-N Quantum Field Theories we study strings in space-time dimensions higher than one. Some preliminary results concerning the possible string susceptibilities and general properties of the model are presented.

34.211315

16.709064

31.694719

21.054291

20.838829

17.598776

19.064238

20.740219

18.153477

29.10298

21.738728

23.534262

26.97308

22.943239

23.905157

22.683517

22.93375

22.932924

22.40202

28.011248

23.768688

1608.07431

Dimitrios Giataganas

Chong-Sun Chu, Dimitrios Giataganas

The Thermal Bath of de Sitter from Holography

1+26 pages, 12 figures

Phys. Rev. D 96, 026023 (2017)

10.1103/PhysRevD.96.026023

NCTS-TH/1607

hep-th

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

We consider the AdS/dS CFT correspondence and study the nature of the thermal bath of the de Sitter field theory using holography. Unlike the temperature of a thermal field theory in flat spacetime, the temperature of a superconformal field theory on de Sitter space is an integral part of the theory and leaves intact the conformal symmetry and supersymmetry. In the dual AdS side, there is no black hole. Instead we have cosmological expansion of the de Sitter factor. We consider a number of different observables, such as the entanglement entropy, two point correlation function, Wilson loops corresponding to static and spinning mesons in the field theory, and study their thermal properties using holography. The former two quantities have trivial temperature dependence due to conformal symmetry. We compute the energy of the quark anti-quark bound state for a static meson, as well as the energy and the angular momentum for a spinning meson. We find that there is a maximum distance, as well as a maximum spin for the latter case, beyond which the bound state become unstable. The temperature behavior of the physical quantities in these meson systems are similar to that of the usual thermal field theory with holographic black hole dual. With these examples, we show clearly how the field theory observables get their thermal properties from the bulk despite the absence of a black hole, with the role of the black hole horizon played by the cosmological expansion of the de Sitter factor of the AdS metric.

[ { "created": "Fri, 26 Aug 2016 12:05:24 GMT", "version": "v1" } ]

2017-08-09

[ [ "Chu", "Chong-Sun", "" ], [ "Giataganas", "Dimitrios", "" ] ]

We consider the AdS/dS CFT correspondence and study the nature of the thermal bath of the de Sitter field theory using holography. Unlike the temperature of a thermal field theory in flat spacetime, the temperature of a superconformal field theory on de Sitter space is an integral part of the theory and leaves intact the conformal symmetry and supersymmetry. In the dual AdS side, there is no black hole. Instead we have cosmological expansion of the de Sitter factor. We consider a number of different observables, such as the entanglement entropy, two point correlation function, Wilson loops corresponding to static and spinning mesons in the field theory, and study their thermal properties using holography. The former two quantities have trivial temperature dependence due to conformal symmetry. We compute the energy of the quark anti-quark bound state for a static meson, as well as the energy and the angular momentum for a spinning meson. We find that there is a maximum distance, as well as a maximum spin for the latter case, beyond which the bound state become unstable. The temperature behavior of the physical quantities in these meson systems are similar to that of the usual thermal field theory with holographic black hole dual. With these examples, we show clearly how the field theory observables get their thermal properties from the bulk despite the absence of a black hole, with the role of the black hole horizon played by the cosmological expansion of the de Sitter factor of the AdS metric.

7.384419

7.971701

7.915267

7.635237

7.676888

7.883907

7.874678

7.558084

7.716324

8.585219

7.400294

7.537334

7.623519

7.534264

7.865086

7.559577

7.862386

7.547776

7.522893

7.804135

7.467653

2307.04665

Oleksandr Gamayun

Oleksandr Gamayun, Andrei Losev, Mikhail Shifman

Peculiarities of beta functions in sigma models

31 pages, 2 figures

JHEP10(2023)097

10.1007/JHEP10(2023)097

null

hep-th cond-mat.stat-mech

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

In this paper we consider perturbation theory in generic two-dimensional sigma models in the so-called first-order formalism, using the coordinate regularization approach. Our goal is to analyze the first-order formalism in application to $\beta$ functions and compare its results with the standard geometric calculations. Already in the second loop, we observe deviations from the geometric results that cannot be explained by the regularization/renormalization scheme choices. Moreover, in certain cases the first-order calculations produce results that are not symmetric under the classical diffeomorphisms of the target space. Although we could not present the full solution to this remarkable phenomenon, we found some indirect arguments indicating that an anomaly similar to that established in supersymmetric Yang-Mills theory might manifest itself starting from the second loop. We discuss why the difference between two answers might be an infrared effect, similar to that in $\beta$ functions in supersymmetric Yang-Mills theories. In addition to the generic K\"ahler target spaces we discuss in detail the so-called Lie-algebraic sigma models. In particular, this is the case when the perturbed field $G^{i\bar j}$ is a product of the holomorphic and antiholomorphic currents satisfying two-dimensional current algebra.

[ { "created": "Mon, 10 Jul 2023 16:03:05 GMT", "version": "v1" }, { "created": "Mon, 14 Aug 2023 14:43:14 GMT", "version": "v2" }, { "created": "Thu, 21 Sep 2023 13:22:23 GMT", "version": "v3" } ]

2023-11-22

[ [ "Gamayun", "Oleksandr", "" ], [ "Losev", "Andrei", "" ], [ "Shifman", "Mikhail", "" ] ]

In this paper we consider perturbation theory in generic two-dimensional sigma models in the so-called first-order formalism, using the coordinate regularization approach. Our goal is to analyze the first-order formalism in application to $\beta$ functions and compare its results with the standard geometric calculations. Already in the second loop, we observe deviations from the geometric results that cannot be explained by the regularization/renormalization scheme choices. Moreover, in certain cases the first-order calculations produce results that are not symmetric under the classical diffeomorphisms of the target space. Although we could not present the full solution to this remarkable phenomenon, we found some indirect arguments indicating that an anomaly similar to that established in supersymmetric Yang-Mills theory might manifest itself starting from the second loop. We discuss why the difference between two answers might be an infrared effect, similar to that in $\beta$ functions in supersymmetric Yang-Mills theories. In addition to the generic K\"ahler target spaces we discuss in detail the so-called Lie-algebraic sigma models. In particular, this is the case when the perturbed field $G^{i\bar j}$ is a product of the holomorphic and antiholomorphic currents satisfying two-dimensional current algebra.

10.890754

12.183978

12.306854

10.944829

11.942546

12.277715

11.688568

11.29847

11.417547

13.380554

10.753717

10.940405

11.069052

10.661979

11.203072

11.076851

10.799489

10.974165

10.670564

11.168761

10.686122

1305.1474

Agustin Sabio Vera

F. Caporale, G. Chachamis, J. D. Madrigal, B. Murdaca, A Sabio Vera

A study of the diffusion pattern in N=4 SYM at high energies

12 pages, 8 figures

null

10.1016/j.physletb.2013.05.058

null

hep-th hep-ph

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

In the context of evolution equations and scattering amplitudes in the high energy limit of the N=4 super Yang-Mills theory we investigate in some detail the BFKL gluon Green function at next-to-leading order. In particular, we study its collinear behaviour in terms of an expansion in different angular components. We also perform a Monte Carlo simulation of the different final states contributing to such a Green function and construct the diffusion pattern into infrared and ultraviolet modes and multiplicity distributions, making emphasis in separating the gluon contributions from those of scalars and gluinos. We find that the combined role of the non-gluonic degrees of freedom is to improve the collinear behavior and reduce the diffusion into ultraviolet regions while not having any effect on the average multiplicities or diffusion into the infrared. In terms of growth with energy, the non-zero conformal spin components are mainly driven by the gluon terms in the BFKL kernel. For zero conformal spin (Pomeron) the effect of the scalar and gluino sectors is to dramatically push the Green function towards higher values.

[ { "created": "Tue, 7 May 2013 11:36:00 GMT", "version": "v1" }, { "created": "Wed, 8 May 2013 12:00:55 GMT", "version": "v2" } ]

2015-06-15

[ [ "Caporale", "F.", "" ], [ "Chachamis", "G.", "" ], [ "Madrigal", "J. D.", "" ], [ "Murdaca", "B.", "" ], [ "Vera", "A Sabio", "" ] ]

In the context of evolution equations and scattering amplitudes in the high energy limit of the N=4 super Yang-Mills theory we investigate in some detail the BFKL gluon Green function at next-to-leading order. In particular, we study its collinear behaviour in terms of an expansion in different angular components. We also perform a Monte Carlo simulation of the different final states contributing to such a Green function and construct the diffusion pattern into infrared and ultraviolet modes and multiplicity distributions, making emphasis in separating the gluon contributions from those of scalars and gluinos. We find that the combined role of the non-gluonic degrees of freedom is to improve the collinear behavior and reduce the diffusion into ultraviolet regions while not having any effect on the average multiplicities or diffusion into the infrared. In terms of growth with energy, the non-zero conformal spin components are mainly driven by the gluon terms in the BFKL kernel. For zero conformal spin (Pomeron) the effect of the scalar and gluino sectors is to dramatically push the Green function towards higher values.

11.535706

11.946836

10.199711

10.405296

12.190351

12.404023

11.930408

12.439393

10.558057

11.334503

11.107401

10.92749

10.365032

10.362821

10.708846

11.208183

10.534476

11.222702

10.166865

10.636408

10.736871

1010.4549

Yoshinori Matsuo

Yoshinori Matsuo and Tatsuma Nishioka

New Near Horizon Limit in Kerr/CFT

25 pages, minor changes, references added

JHEP 1012:073,2010

10.1007/JHEP12(2010)073

HRI/ST/1010, PUPT-2354

hep-th gr-qc

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

The extremal Kerr black hole with the angular momentum J is conjectured to be dual to CFT with central charges c_L=c_R=12J. However, the central charge in the right sector remains to be explicitly derived so far. In order to investigate this issue, we introduce new near horizon limits of (near) extremal Kerr and five-dimensional Myers-Perry black holes. We obtain Virasoro algebras as asymptotic symmetries and calculate the central charges associated with them. One of them is equivalent to that of the previous studies, and the other is non-zero, but still the order of near extremal parameter. Redefining the algebras to take the standard form, we obtain a finite value as expected by the Kerr/CFT correspondence.

[ { "created": "Thu, 21 Oct 2010 18:19:38 GMT", "version": "v1" }, { "created": "Thu, 4 Nov 2010 14:15:26 GMT", "version": "v2" } ]

2011-01-27

[ [ "Matsuo", "Yoshinori", "" ], [ "Nishioka", "Tatsuma", "" ] ]

The extremal Kerr black hole with the angular momentum J is conjectured to be dual to CFT with central charges c_L=c_R=12J. However, the central charge in the right sector remains to be explicitly derived so far. In order to investigate this issue, we introduce new near horizon limits of (near) extremal Kerr and five-dimensional Myers-Perry black holes. We obtain Virasoro algebras as asymptotic symmetries and calculate the central charges associated with them. One of them is equivalent to that of the previous studies, and the other is non-zero, but still the order of near extremal parameter. Redefining the algebras to take the standard form, we obtain a finite value as expected by the Kerr/CFT correspondence.

8.607967

8.126815

9.585118

7.953128

8.428047

8.121881

8.167195

8.434944

8.133457

9.622562

8.043818

7.892056

8.526311

8.276907

8.446339

8.19048

8.139628

8.294419

8.29119

8.383944

8.43743

hep-th/0102204

Taotu

G.Cheng

Advance in dynamical spontaneous symmetry breaking

3 pages, LaTeX, no figures

Int.J.Mod.Phys. B13 (1999) 3496-3498

10.1142/S0217979299003283

null

hep-th

null

Recently, a condition is derived for a nontrivial solution of the Schwinger-Dyson equation to be accompanied by a Goldstone bound state in a special quantum electrodynamics model. This result is extended and a new form of the Goldstone theorem is obtained in a general quantum field theory framework.

[ { "created": "Wed, 28 Feb 2001 13:42:16 GMT", "version": "v1" } ]

2015-06-25

[ [ "Cheng", "G.", "" ] ]

Recently, a condition is derived for a nontrivial solution of the Schwinger-Dyson equation to be accompanied by a Goldstone bound state in a special quantum electrodynamics model. This result is extended and a new form of the Goldstone theorem is obtained in a general quantum field theory framework.

11.225245

9.584526

9.553392

9.652341

10.298874

9.503974

9.480749

9.02374

8.959647

10.017423

9.334671

9.089047

9.705347

9.12644

9.313479

8.897099

9.139564

9.680626

9.148386

9.98024

8.904802

1708.06240

Sunandan Gangopadhyay

Suchetana Pal, Sunandan Gangopadhyay

Noncommutative effects on holographic superconductors with power Maxwell electrodynamics

16 pages Latex, some minor corrections made

Annals Phys. 388 (2018) 472

10.1016/j.aop.2017.11.032

null

hep-th

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

The matching method is employed to analytically investigate the properties of holographic superconductors in higher dimensions in the framework of power Maxwell electrodynamics taking into account the effects of spacetime noncommutativity. The relationship between the critical temperature and the charge density and the value of the condensation operator is obtained first. The Meissner like effect is then studied. The analysis indicate that larger values of the noncommutative parameter and the parameter $q$ appearing in the power Maxwell theory makes the condensate difficult to form. The critical magnetic field however increases with increase in the noncommutative parameter $\theta$.

[ { "created": "Thu, 17 Aug 2017 07:06:17 GMT", "version": "v1" }, { "created": "Thu, 24 Aug 2017 06:05:56 GMT", "version": "v2" } ]

2017-12-29

[ [ "Pal", "Suchetana", "" ], [ "Gangopadhyay", "Sunandan", "" ] ]

The matching method is employed to analytically investigate the properties of holographic superconductors in higher dimensions in the framework of power Maxwell electrodynamics taking into account the effects of spacetime noncommutativity. The relationship between the critical temperature and the charge density and the value of the condensation operator is obtained first. The Meissner like effect is then studied. The analysis indicate that larger values of the noncommutative parameter and the parameter $q$ appearing in the power Maxwell theory makes the condensate difficult to form. The critical magnetic field however increases with increase in the noncommutative parameter $\theta$.

9.337527

6.107483

8.314805

6.707078

6.715975

6.73546

6.641462

6.293477

6.490116

8.662355

7.130703

7.771769

7.997005

7.775175

7.448115

7.727094

8.019238

7.210228

7.804566

8.222142

7.937445

hep-th/0410079

Nathan Berkovits

Nathan Berkovits (IFT-UNESP, Sao Paulo)

Covariant Multiloop Superstring Amplitudes

Strings 2004 talk

Comptes Rendus Physique 6 (2005) 185-197

10.1016/j.crhy.2004.12.009

IFT-P.049/2004

hep-th

null

In these proceedings, the multiloop amplitude prescription using the super-Poincare invariant pure spinor formalism for the superstring is reviewed. Unlike the RNS prescription, there is no sum over spin structures and surface terms coming from the boundary of moduli space can be ignored. Massless N-point multiloop amplitudes vanish for N<4, which implies (with two mild assumptions) the perturbative finiteness of superstring theory. And R^4 terms receive no multiloop corrections in agreement with the Type IIB S-duality conjecture of Green and Gutperle.

[ { "created": "Thu, 7 Oct 2004 19:33:02 GMT", "version": "v1" } ]

2009-11-10

[ [ "Berkovits", "Nathan", "", "IFT-UNESP, Sao Paulo" ] ]

In these proceedings, the multiloop amplitude prescription using the super-Poincare invariant pure spinor formalism for the superstring is reviewed. Unlike the RNS prescription, there is no sum over spin structures and surface terms coming from the boundary of moduli space can be ignored. Massless N-point multiloop amplitudes vanish for N<4, which implies (with two mild assumptions) the perturbative finiteness of superstring theory. And R^4 terms receive no multiloop corrections in agreement with the Type IIB S-duality conjecture of Green and Gutperle.

10.651122

8.176758

14.977705

8.919065

9.192977

8.763619

7.879474

8.625502

8.848705

13.472445

8.919758

9.30672

10.508826

9.40486

9.709336

9.282475

9.716462

9.02481

10.143025

10.593814

9.855268

1103.1848

Lance Dixon

Zvi Bern, John Joseph Carrasco, Lance Dixon, Henrik Johansson, Radu Roiban

Amplitudes and Ultraviolet Behavior of N=8 Supergravity

28 pages, 8 figures, 3 tables. Talk presented at XVIth European Workshop on String Theory, Madrid, June, 2010. v2: minor typos fixed

null

10.1002/prop.201100037

UCLA/11/TEP/104, SU-ITP-11/08, SLAC-PUB-14380, CERN-PH-TH/2011-030, Saclay-IPhT-T11/030

hep-th

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

In this contribution we describe computational tools that permit the evaluation of multi-loop scattering amplitudes in N=8 supergravity, in terms of amplitudes in N=4 super-Yang-Mills theory. We also discuss the remarkable ultraviolet behavior of N=8 supergravity, which follows from these amplitudes, and is as good as that of N=4 super-Yang-Mills theory through at least four loops.

[ { "created": "Wed, 9 Mar 2011 18:18:58 GMT", "version": "v1" }, { "created": "Tue, 29 Mar 2011 07:13:12 GMT", "version": "v2" } ]

2015-05-27

[ [ "Bern", "Zvi", "" ], [ "Carrasco", "John Joseph", "" ], [ "Dixon", "Lance", "" ], [ "Johansson", "Henrik", "" ], [ "Roiban", "Radu", "" ] ]

In this contribution we describe computational tools that permit the evaluation of multi-loop scattering amplitudes in N=8 supergravity, in terms of amplitudes in N=4 super-Yang-Mills theory. We also discuss the remarkable ultraviolet behavior of N=8 supergravity, which follows from these amplitudes, and is as good as that of N=4 super-Yang-Mills theory through at least four loops.

5.365317

3.970588

4.67656

4.388443

4.142775

4.202497

4.284096

4.080972

4.083409

4.907333

4.353475

4.16692

4.805133

4.410002

4.285122

4.345907

4.382406

4.331166

4.184305

4.722452

4.699779

hep-th/0111026

DaeKil Park

D. K. Park, S. Tamaryan, H.J.W. M\"uller--Kirsten

D2-branes with magnetic flux in the presence of RR fields

24 pages, 1 figure included, version to appear in NPB

Nucl.Phys. B635 (2002) 192-214

10.1016/S0550-3213(02)00351-6

null

hep-th

null

D2-branes are studied in the context of Born-Infeld theory as a source of the 3-form RR gauge potential. Considering the static case with only a radial magnetic field it is shown that a locally stable hemispherical deformation of the brane exists which minimises the energy locally. Since the D2-brane carries also the charge of D0-branes, and the RR spacetime potential is unbounded from below, these can tunnel to condense on the D2-brane. The corresponding instanton-like configuration and the tunneling rate are derived and discussed.

[ { "created": "Sat, 3 Nov 2001 03:37:08 GMT", "version": "v1" }, { "created": "Tue, 8 Jan 2002 06:14:23 GMT", "version": "v2" }, { "created": "Sat, 4 May 2002 01:11:05 GMT", "version": "v3" } ]

2015-06-26

[ [ "Park", "D. K.", "" ], [ "Tamaryan", "S.", "" ], [ "Müller--Kirsten", "H. J. W.", "" ] ]

D2-branes are studied in the context of Born-Infeld theory as a source of the 3-form RR gauge potential. Considering the static case with only a radial magnetic field it is shown that a locally stable hemispherical deformation of the brane exists which minimises the energy locally. Since the D2-brane carries also the charge of D0-branes, and the RR spacetime potential is unbounded from below, these can tunnel to condense on the D2-brane. The corresponding instanton-like configuration and the tunneling rate are derived and discussed.

13.072336

10.971629

13.819996

11.345872

12.701704

12.375064

12.576147

11.496382

11.982341

13.054386

12.204333

11.526176

11.97083

11.831832

11.770754

11.588615

11.40866

11.209696

11.472998

12.150258

11.650824

1501.04355

Eoin \'O Colg\'ain

Warped AdS$_3$, dS$_3$ and flows from $\mathcal{N} = (0,2)$ SCFTs

4 pages, 3 figures, v2 revised title and abstract, references added, various improvements, clarification added that only real solutions are timelike-warped AdS3; v3 reference added, expanded description, to appear in PRD

Phys. Rev. D 91, 105029 (2015)

10.1103/PhysRevD.91.105029

DMUS--MP--15/02, YITP-SB-15-2

hep-th

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

We present the general form of all timelike supersymmetric solutions to 3D U(1)^3 gauged supergravity, a known consistent truncation of string theory. We uncover a rich vacuum structure, including an infinite class of new timelike-warped AdS_3 (Goedel) and timelike-warped dS_3 critical points. We outline the construction of supersymmetric flows, driven by irrelevant scalar operators in the SCFT, which interpolate between critical points. For flows from AdS_3 to Goedel, the natural candidate for the central charge decreases along the flow. Flows to timelike-warped dS_3 exhibit topology change.

[ { "created": "Sun, 18 Jan 2015 21:34:22 GMT", "version": "v1" }, { "created": "Thu, 26 Feb 2015 17:03:10 GMT", "version": "v2" }, { "created": "Fri, 15 May 2015 17:33:22 GMT", "version": "v3" } ]

2015-06-03

[ [ "Colgáin", "Eoin Ó", "" ] ]

We present the general form of all timelike supersymmetric solutions to 3D U(1)^3 gauged supergravity, a known consistent truncation of string theory. We uncover a rich vacuum structure, including an infinite class of new timelike-warped AdS_3 (Goedel) and timelike-warped dS_3 critical points. We outline the construction of supersymmetric flows, driven by irrelevant scalar operators in the SCFT, which interpolate between critical points. For flows from AdS_3 to Goedel, the natural candidate for the central charge decreases along the flow. Flows to timelike-warped dS_3 exhibit topology change.

8.724712

7.407498

9.985322

7.504134

8.958139

7.783486

8.21673

7.577735

7.334921

10.553866

7.454559

7.724237

8.821042

8.062813

8.328838

8.053633

7.88094

7.694862

8.020925

8.671029

8.002119

2005.09479

Tom Banks

T. Banks

Microscopic Models of Linear Dilaton Gravity and Their Semi-classical Approximations

LaTeX2e. 34 Pages, 4 figures V2: reference added. Fixed typos and improved notation for clarity in the definition of the microscopic Hamiltonian

null

RUNHETC-2020-33

hep-th gr-qc

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

We reanalyze and expand upon models proposed in 2015 for linear dilaton black holes, and use them to test several speculative ideas about black hole physics. We examine ideas based on the definition of quantum extremal surfaces in quantum field theory in curved space-time. The low energy effective field theory of our model is the large N CGHS model, which includes the one loop effects that are taken into account in the "island" proposal for understanding the Page curve. Contrary to the results of the island analysis, that solution leads to a singular geometry for the evaporated black hole. If the singularity obeys Cosmic Censorship then Hawking evaporation leaves behind a remnant object with a finite fraction of the black hole entropy. If the singularity becomes naked at some point, boundary conditions on a time-like line emanating from that point can produce a sensible model where we expect a Page curve. We show that the fully UV complete model gives a correct Page curve, as it must since the model is manifestly unitary. Recent result on replicawormholes suggest that the island formula, which appears to involve only one loop computations, in fact encodes non-perturbative contributions to the gravitational path integral. The question of why Euclidean gravity computations can capture information about microscopic states of quantum gravity remains mysterious. In a speculative coda to the paper we suggest that the proper way of understanding the relation between Euclidean gravity path integrals and quantum spectra is via a statistical approach to Jacobson's interpretation of general relativistic field equations as the hydrodynamic equations of the area law for the maximal entropy of causal diamonds.

[ { "created": "Tue, 19 May 2020 14:26:12 GMT", "version": "v1" }, { "created": "Wed, 27 May 2020 20:10:38 GMT", "version": "v2" } ]

2020-05-29

[ [ "Banks", "T.", "" ] ]

We reanalyze and expand upon models proposed in 2015 for linear dilaton black holes, and use them to test several speculative ideas about black hole physics. We examine ideas based on the definition of quantum extremal surfaces in quantum field theory in curved space-time. The low energy effective field theory of our model is the large N CGHS model, which includes the one loop effects that are taken into account in the "island" proposal for understanding the Page curve. Contrary to the results of the island analysis, that solution leads to a singular geometry for the evaporated black hole. If the singularity obeys Cosmic Censorship then Hawking evaporation leaves behind a remnant object with a finite fraction of the black hole entropy. If the singularity becomes naked at some point, boundary conditions on a time-like line emanating from that point can produce a sensible model where we expect a Page curve. We show that the fully UV complete model gives a correct Page curve, as it must since the model is manifestly unitary. Recent result on replicawormholes suggest that the island formula, which appears to involve only one loop computations, in fact encodes non-perturbative contributions to the gravitational path integral. The question of why Euclidean gravity computations can capture information about microscopic states of quantum gravity remains mysterious. In a speculative coda to the paper we suggest that the proper way of understanding the relation between Euclidean gravity path integrals and quantum spectra is via a statistical approach to Jacobson's interpretation of general relativistic field equations as the hydrodynamic equations of the area law for the maximal entropy of causal diamonds.

14.489068

15.556021

14.351598

14.53073

15.151464

15.451269

14.790943

14.765821

14.729394

15.88496

14.535374

13.686853

14.162884

13.948643

13.42841

13.861086

13.757022

13.743309

14.111464

14.255457

14.004675

1311.0815

Diego Rubiera-Garcia

Gonzalo J. Olmo, D. Rubiera-Garcia, Helios Sanchis-Alepuz

Geonic black holes and remnants in Eddington-inspired Born-Infeld gravity

7 double column pages, 1 figure

Eur. Phys. J. C 74 (2014) 2804

10.1140/epjc/s10052-014-2804-8

IFIC/13-83

hep-th gr-qc

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

We show that electrically charged solutions within the Eddington-inspired Born-Infeld theory of gravity replace the central singularity by a wormhole supported by the electric field. As a result, the total energy associated with the electric field is finite and similar to that found in the Born-Infeld electromagnetic theory. When a certain charge-to-mass ratio is satisfied, in the lowest part of the mass and charge spectrum the event horizon disappears yielding stable remnants. We argue that quantum effects in the matter sector can lower the mass of these remnants from the Planck scale down to the TeV scale.

[ { "created": "Mon, 4 Nov 2013 19:14:42 GMT", "version": "v1" }, { "created": "Mon, 28 Apr 2014 10:37:54 GMT", "version": "v2" } ]

2014-04-29

[ [ "Olmo", "Gonzalo J.", "" ], [ "Rubiera-Garcia", "D.", "" ], [ "Sanchis-Alepuz", "Helios", "" ] ]

We show that electrically charged solutions within the Eddington-inspired Born-Infeld theory of gravity replace the central singularity by a wormhole supported by the electric field. As a result, the total energy associated with the electric field is finite and similar to that found in the Born-Infeld electromagnetic theory. When a certain charge-to-mass ratio is satisfied, in the lowest part of the mass and charge spectrum the event horizon disappears yielding stable remnants. We argue that quantum effects in the matter sector can lower the mass of these remnants from the Planck scale down to the TeV scale.

9.32781

8.872207

8.26853

8.04104

8.32891

8.037941

8.630939

8.054336

8.101036

8.985252

8.539237

8.468588

8.792957

8.50015

8.563501

8.622887

8.270319

8.498197

8.834737

9.08863

8.754612

1207.4064

Song He

A Link Representation for Gravity Amplitudes

11 pages

null

10.1007/JHEP10(2013)139

null

hep-th

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

We derive a link representation for all tree amplitudes in N=8 supergravity, from a recent conjecture by Cachazo and Skinner. The new formula explicitly writes amplitudes as contour integrals over constrained link variables, with an integrand naturally expressed in terms of determinants, or equivalently tree diagrams. Important symmetries of the amplitude, such as supersymmetry, parity and (partial) permutation invariance, are kept manifest in the formulation. We also comment on rewriting the formula in a GL(k)-invariant manner, which may serve as a starting point for the generalization to possible Grassmannian contour integrals.

[ { "created": "Tue, 17 Jul 2012 16:58:13 GMT", "version": "v1" } ]

2015-06-05

[ [ "He", "Song", "" ] ]

We derive a link representation for all tree amplitudes in N=8 supergravity, from a recent conjecture by Cachazo and Skinner. The new formula explicitly writes amplitudes as contour integrals over constrained link variables, with an integrand naturally expressed in terms of determinants, or equivalently tree diagrams. Important symmetries of the amplitude, such as supersymmetry, parity and (partial) permutation invariance, are kept manifest in the formulation. We also comment on rewriting the formula in a GL(k)-invariant manner, which may serve as a starting point for the generalization to possible Grassmannian contour integrals.

10.962614

10.376834

12.382716

10.247111

10.367393

11.282659

11.21471

9.268537

10.828804

13.92793

10.149552

10.034994

11.223845

10.658981

10.239414

10.304109

10.322225

9.945693

10.432291

11.09658

10.478853

1809.04638

Mykola Dedushenko

Mykola Dedushenko, Sergei Gukov, Hiraku Nakajima, Du Pei, and Ke Ye

3d TQFTs from Argyres-Douglas theories

6 pages

null

CALT-TH-2018-033

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

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

We construct a new class of three-dimensional topological quantum field theories (3d TQFTs) by considering generalized Argyres-Douglas theories on $S^1 \times M_3$ with a non-trivial holonomy of a discrete global symmetry along the $S^1$. For the minimal choice of the holonomy, the resulting 3d TQFTs are non-unitary and semisimple, thus distinguishing themselves from theories of Chern-Simons and Rozansky-Witten types respectively. Changing the holonomy performs a Galois transformation on the TQFT, which can sometimes give rise to more familiar unitary theories such as the $(G_2)_1$ and $(F_4)_1$ Chern-Simons theories. Our construction is based on an intriguing relation between topologically twisted partition functions, wild Hitchin characters, and chiral algebras which, when combined together, relate Coulomb branch and Higgs branch data of the same 4d $\mathcal{N}=2$ theory. We test our proposal by applying localization techniques to the conjectural $\mathcal{N}=1$ UV Lagrangian descriptions of the $(A_1,A_2)$, $(A_1,A_3)$ and $(A_1,D_3)$ theories.

[ { "created": "Wed, 12 Sep 2018 19:12:55 GMT", "version": "v1" } ]

2018-09-14

[ [ "Dedushenko", "Mykola", "" ], [ "Gukov", "Sergei", "" ], [ "Nakajima", "Hiraku", "" ], [ "Pei", "Du", "" ], [ "Ye", "Ke", "" ] ]

We construct a new class of three-dimensional topological quantum field theories (3d TQFTs) by considering generalized Argyres-Douglas theories on $S^1 \times M_3$ with a non-trivial holonomy of a discrete global symmetry along the $S^1$. For the minimal choice of the holonomy, the resulting 3d TQFTs are non-unitary and semisimple, thus distinguishing themselves from theories of Chern-Simons and Rozansky-Witten types respectively. Changing the holonomy performs a Galois transformation on the TQFT, which can sometimes give rise to more familiar unitary theories such as the $(G_2)_1$ and $(F_4)_1$ Chern-Simons theories. Our construction is based on an intriguing relation between topologically twisted partition functions, wild Hitchin characters, and chiral algebras which, when combined together, relate Coulomb branch and Higgs branch data of the same 4d $\mathcal{N}=2$ theory. We test our proposal by applying localization techniques to the conjectural $\mathcal{N}=1$ UV Lagrangian descriptions of the $(A_1,A_2)$, $(A_1,A_3)$ and $(A_1,D_3)$ theories.

6.119666

6.805085

7.043603

5.883311

6.506807

6.295383

6.15228

5.838032

5.937243

7.751438

6.134185

5.871561

6.480413

5.892529

5.803544

5.888165

5.881404

5.857137

5.833491

6.481015

5.76368

hep-th/9910155

Angel Uranga

Angel M. Uranga

A New Orientifold of C^2/Z_N and Six-dimensional RG Fixed Points

Latex, 18 pages Repot-no: IASSNS-HEP-99/94

Nucl.Phys.B577:73-87,2000

10.1016/S0550-3213(00)00127-9

null

hep-th

null

We discuss the consistency conditions of a novel orientifold projection of type IIB string theory on C^2/Z_N singularities, in which one mods out by the combined action of world-sheet parity and a geometric operation which exchanges the two complex planes. The field theory on the world-volume of D5-brane probes defines a family of six-dimensional RG fixed points, which had been previously constructed using type IIA configurations of NS-branes and D6-branes in the presence of O6-planes. Both constructions are related by a T-duality transforming the set of NS-branes into the C^2/Z_N singularity. We also construct additional models, where both the standard and the novel orientifold projections are imposed. They have an interesting relation with orientifolds of D_K singularities, and provide the T-duals of certain type IIA configurations containing both O6- and O8-planes.

[ { "created": "Tue, 19 Oct 1999 18:14:44 GMT", "version": "v1" } ]

2009-10-09

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

We discuss the consistency conditions of a novel orientifold projection of type IIB string theory on C^2/Z_N singularities, in which one mods out by the combined action of world-sheet parity and a geometric operation which exchanges the two complex planes. The field theory on the world-volume of D5-brane probes defines a family of six-dimensional RG fixed points, which had been previously constructed using type IIA configurations of NS-branes and D6-branes in the presence of O6-planes. Both constructions are related by a T-duality transforming the set of NS-branes into the C^2/Z_N singularity. We also construct additional models, where both the standard and the novel orientifold projections are imposed. They have an interesting relation with orientifolds of D_K singularities, and provide the T-duals of certain type IIA configurations containing both O6- and O8-planes.

8.661636

8.757433

11.567533

8.36069

8.455135

8.831024

8.288092

7.93537

8.52071

10.976847

7.870276

8.517745

9.070904

8.610295

8.707982

8.655

8.719753

8.704309

8.654137

9.117999

8.360332

0910.4779

Mario Martone

A. P. Balachandran, A. Ibort, G. Marmo and M. Martone

Inequivalence of QFT's on Noncommutative Spacetimes: Moyal versus Wick-Voros

Revised version accepted for publication in Phys.Rev.D; 18 pages

Phys.Rev.D81:085017,2010

10.1103/PhysRevD.81.085017

null

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

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

In this paper, we further develop the analysis started in an earlier paper on the inequivalence of certain quantum field theories on noncommutative spacetimes constructed using twisted fields. The issue is of physical importance. Thus it is well known that the commutation relations among spacetime coordinates, which define a noncommutative spacetime, do not constrain the deformation induced on the algebra of functions uniquely. Such deformations are all mathematically equivalent in a very precise sense. Here we show how this freedom at the level of deformations of the algebra of functions can fail on the quantum field theory side. In particular, quantum field theory on the Wick-Voros and Moyal planes are shown to be inequivalent in a few different ways. Thus quantum field theory calculations on these planes will lead to different physics even though the classical theories are equivalent. This result is reminiscent of chiral anomaly in gauge theories and has obvious physical consequences. The construction of quantum field theories on the Wick-Voros plane has new features not encountered for quantum field theories on the Moyal plane. In fact it seems impossible to construct a quantum field theory on the Wick-Voros plane which satisfies all the properties needed of field theories on noncommutative spaces. The Moyal twist seems to have unique features which make it a preferred choice for the construction of a quantum field theory on a noncommutative spacetime.

[ { "created": "Sun, 25 Oct 2009 22:58:10 GMT", "version": "v1" }, { "created": "Sun, 15 Nov 2009 14:41:48 GMT", "version": "v2" }, { "created": "Tue, 23 Mar 2010 09:35:41 GMT", "version": "v3" } ]

2010-04-22

[ [ "Balachandran", "A. P.", "" ], [ "Ibort", "A.", "" ], [ "Marmo", "G.", "" ], [ "Martone", "M.", "" ] ]

In this paper, we further develop the analysis started in an earlier paper on the inequivalence of certain quantum field theories on noncommutative spacetimes constructed using twisted fields. The issue is of physical importance. Thus it is well known that the commutation relations among spacetime coordinates, which define a noncommutative spacetime, do not constrain the deformation induced on the algebra of functions uniquely. Such deformations are all mathematically equivalent in a very precise sense. Here we show how this freedom at the level of deformations of the algebra of functions can fail on the quantum field theory side. In particular, quantum field theory on the Wick-Voros and Moyal planes are shown to be inequivalent in a few different ways. Thus quantum field theory calculations on these planes will lead to different physics even though the classical theories are equivalent. This result is reminiscent of chiral anomaly in gauge theories and has obvious physical consequences. The construction of quantum field theories on the Wick-Voros plane has new features not encountered for quantum field theories on the Moyal plane. In fact it seems impossible to construct a quantum field theory on the Wick-Voros plane which satisfies all the properties needed of field theories on noncommutative spaces. The Moyal twist seems to have unique features which make it a preferred choice for the construction of a quantum field theory on a noncommutative spacetime.

6.831826

6.727008

7.137396

6.72298

7.383286

7.282958

7.275704

6.854619

6.932457

7.667614

6.566963

6.566365

6.845397

6.5549

6.827404

6.789362

6.737358

6.538146

6.669255

6.722816

6.510682

hep-th/0612193

Don N. Page

Hawking Emission and Black Hole Thermodynamics

8 pages, LaTeX, invited lecture for Session BHT4 of the 11th Marcel Grossmann Meeting on General Relativity, 2006 July 28

null

Alberta-Thy-22-06

hep-th

null

A brief review of Hawking radiation and black hole thermodynamics is given, based largely upon hep-th/0409024.

[ { "created": "Mon, 18 Dec 2006 21:00:47 GMT", "version": "v1" } ]

2007-05-23

[ [ "Page", "Don N.", "" ] ]

A brief review of Hawking radiation and black hole thermodynamics is given, based largely upon hep-th/0409024.

19.957811

8.305529

13.63411

9.741079

10.347449

9.069228

11.50829

10.644944

11.894988

14.890675

10.209713

12.006416

12.262544

11.652968

11.281769

11.909849

11.763081

11.565562

12.803904

12.610719

11.818452

hep-th/0612032

Emiliano Imeroni

Emiliano Imeroni, Asad Naqvi

Giants and loops in beta-deformed theories

26 pages; typos corrected, published version

JHEP 0703:034,2007

10.1088/1126-6708/2007/03/034

SWAT/06/482

hep-th

null

We study extended objects in the gravity dual of the N=1 beta-deformation of N=4 Super Yang-Mills theory. We identify probe brane configurations corresponding to giant gravitons and Wilson loops. In particular we identify a new class of objects, given by D5-branes wrapped on a two-torus with a world-volume gauge field strength turned on along the torus. These appear when the deformation parameter assumes a rational value and the gauge theory spectrum has additional branches of vacua. We give an interpretation of the new D5-brane dual giant gravitons in terms of rotating vacuum expectation values in these additional branches.

[ { "created": "Mon, 4 Dec 2006 22:56:46 GMT", "version": "v1" }, { "created": "Wed, 20 Dec 2006 23:37:53 GMT", "version": "v2" }, { "created": "Mon, 12 Mar 2007 09:57:37 GMT", "version": "v3" } ]

2010-10-27

[ [ "Imeroni", "Emiliano", "" ], [ "Naqvi", "Asad", "" ] ]

We study extended objects in the gravity dual of the N=1 beta-deformation of N=4 Super Yang-Mills theory. We identify probe brane configurations corresponding to giant gravitons and Wilson loops. In particular we identify a new class of objects, given by D5-branes wrapped on a two-torus with a world-volume gauge field strength turned on along the torus. These appear when the deformation parameter assumes a rational value and the gauge theory spectrum has additional branches of vacua. We give an interpretation of the new D5-brane dual giant gravitons in terms of rotating vacuum expectation values in these additional branches.

9.793223

9.273744

11.250742

8.757454

9.059149

9.061449

9.062229

8.477138

8.689087

12.029743

8.098123

8.61521

10.2867

9.163171

8.691279

8.782051

8.795996

8.682148

8.565558

10.051865

8.833215

hep-th/0107242

Michael Flohr

Operator Product Expansion in Logarithmic Conformal Field Theory

30+1 pages LaTeX2e. Version to be published. Major rework and extension

Nucl.Phys. B634 (2002) 511-545

10.1016/S0550-3213(02)00235-3

ITP-UH-22/01

hep-th

null

In logarithmic conformal field theory, primary fields come together with logarithmic partner fields on which the stress-energy tensor acts non-diagonally. Exploiting this fact and global conformal invariance of two- and three-point functions, operator product expansions of logarithmic operators in arbitrary rank logarithmic conformal field theory are investigated. Since the precise relationship between logarithmic operators and their primary partners is not yet sufficiently understood in all cases, the derivation of operator product expansion formulae is only possible under certain assumptions. The easiest cases are studied in this paper: firstly, where operator product expansions of two primaries only contain primary fields, secondly, where the primary fields are pre-logarithmic operators. Some comments on generalization towards more relaxed assumptions are made, in particular towards the case where logarithmic fields are not quasi-primary. We identify an algebraic structure generated by the zero modes of the fields, which proves useful in determining settings in which our approach can be successfully applied.

[ { "created": "Fri, 27 Jul 2001 16:18:29 GMT", "version": "v1" }, { "created": "Thu, 21 Mar 2002 16:21:34 GMT", "version": "v2" } ]

2015-06-26

[ [ "Flohr", "Michael", "" ] ]

In logarithmic conformal field theory, primary fields come together with logarithmic partner fields on which the stress-energy tensor acts non-diagonally. Exploiting this fact and global conformal invariance of two- and three-point functions, operator product expansions of logarithmic operators in arbitrary rank logarithmic conformal field theory are investigated. Since the precise relationship between logarithmic operators and their primary partners is not yet sufficiently understood in all cases, the derivation of operator product expansion formulae is only possible under certain assumptions. The easiest cases are studied in this paper: firstly, where operator product expansions of two primaries only contain primary fields, secondly, where the primary fields are pre-logarithmic operators. Some comments on generalization towards more relaxed assumptions are made, in particular towards the case where logarithmic fields are not quasi-primary. We identify an algebraic structure generated by the zero modes of the fields, which proves useful in determining settings in which our approach can be successfully applied.

9.637355

10.057706

10.603452

9.788246

10.666674

9.891474

9.951652

9.647818

9.601151

10.817024

9.238433

9.553182

9.937397

9.491567

9.439764

9.415341

9.413294

9.430832

9.347419

9.710087

9.140632

hep-th/0501214

Michael Dine

M. Dine, D. O'Neil and Z. Sun

Branches of the Landscape

21 pages, typos corrected, references added

JHEP 0507 (2005) 014

10.1088/1126-6708/2005/07/014

SCIPP-2004/21

hep-th hep-ph

null

With respect to the question of supersymmetry breaking, there are three branches of the flux landscape. On one of these, if one requires small cosmological constant, supersymmetry breaking is predominantly at the fundamental scale; on another, the distribution is roughly flat on a logarithmic scale; on the third, the preponderance of vacua are at very low scale. A priori, as we will explain, one can say little about the first branch. The vast majority of these states are not accessible even to crude, approximate analysis. On the other two branches one can hope to do better. But as a result of the lack of access to branch one, and our poor understanding of cosmology, we can at best conjecture about whether string theory predicts low energy supersymmetry or not. If we hypothesize that are on branch two or three, distinctive predictions may be possible. We comment of the status of naturalness within the landscape, deriving, for example, the statistics of the first branch from simple effective field theory reasoning.

[ { "created": "Thu, 27 Jan 2005 01:07:43 GMT", "version": "v1" }, { "created": "Sun, 30 Jan 2005 00:02:34 GMT", "version": "v2" } ]

2009-11-11

[ [ "Dine", "M.", "" ], [ "O'Neil", "D.", "" ], [ "Sun", "Z.", "" ] ]

With respect to the question of supersymmetry breaking, there are three branches of the flux landscape. On one of these, if one requires small cosmological constant, supersymmetry breaking is predominantly at the fundamental scale; on another, the distribution is roughly flat on a logarithmic scale; on the third, the preponderance of vacua are at very low scale. A priori, as we will explain, one can say little about the first branch. The vast majority of these states are not accessible even to crude, approximate analysis. On the other two branches one can hope to do better. But as a result of the lack of access to branch one, and our poor understanding of cosmology, we can at best conjecture about whether string theory predicts low energy supersymmetry or not. If we hypothesize that are on branch two or three, distinctive predictions may be possible. We comment of the status of naturalness within the landscape, deriving, for example, the statistics of the first branch from simple effective field theory reasoning.

12.479371

11.954151

13.39625

11.840989

12.878222

12.179535

12.78294

13.564722

11.673874

13.445477

12.190206

11.666309

11.875674

11.6915

11.991183

11.960634

11.849718

12.079551

12.057419

12.520591

11.803912

hep-th/0408011

Adil Belhaj Rogani

A. Belhaj and M. P. Garcia del Moral

On Non Commutative G2 structure

16 pages, Latex. Typos corrected, minor changes. Version to appear in J. Phys.A: Math.Gen.(2005)

J.Phys. A38 (2005) 2773-2784

10.1088/0305-4470/38/12/017

null

hep-th

null

Using an algebraic orbifold method, we present non-commutative aspects of $G_2$ structure of seven dimensional real manifolds. We first develop and solve the non commutativity parameter constraint equations defining $G_2$ manifold algebras. We show that there are eight possible solutions for this extended structure, one of which corresponds to the commutative case. Then we obtain a matrix representation solving such algebras using combinatorial arguments. An application to matrix model of M-theory is discussed.

[ { "created": "Mon, 2 Aug 2004 10:30:28 GMT", "version": "v1" }, { "created": "Thu, 3 Feb 2005 18:37:01 GMT", "version": "v2" } ]

2009-11-10

[ [ "Belhaj", "A.", "" ], [ "del Moral", "M. P. Garcia", "" ] ]

Using an algebraic orbifold method, we present non-commutative aspects of $G_2$ structure of seven dimensional real manifolds. We first develop and solve the non commutativity parameter constraint equations defining $G_2$ manifold algebras. We show that there are eight possible solutions for this extended structure, one of which corresponds to the commutative case. Then we obtain a matrix representation solving such algebras using combinatorial arguments. An application to matrix model of M-theory is discussed.

14.218686

13.72316

14.083737

13.079958

13.934394

13.58165

12.42006

13.415689

12.292694

16.819698

13.42381

12.861746

13.758403

12.840219

12.922204

12.92503

12.608981

12.386076

13.004869

13.521848

12.889139

2303.16929

Kushan Panchal

Diptimoy Ghosh, Kushan Panchal, Farman Ullah

Mixed Graviton and Scalar Bispectra in the EFT of Inflation: Soft Limits and Boostless Bootstrap

29 pages, 3 figures, References added, typos corrected. The ansatz in Section 5 has been improved. Published in JHEP

null

10.1007/JHEP07(2023)233

null

hep-th gr-qc hep-ph

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

Boostless Bootstrap techniques have been applied by many in the literature to compute pure scalar and graviton correlators. In this paper, we focus primarily on mixed graviton and scalar correlators. We start by developing an EFT of Inflation (EFToI) with some general assumptions, clarifying various subtleties related to power counting. We verify explicitly the soft limits for mixed correlators, showing how they are satisfied for higher derivative operators beyond the Maldacena action. We clarify some confusion in the literature related to the soft limits for operators that modify the power spectra of gravitons or scalars. We then proceed to apply the boostless bootstrap rules to operators that do not modify the power spectra. Towards the end, we give a prescription that gives correlators for states that are Bogolyubov transforms of the Bunch-Davies vacuum, directly once we have the correlator for the Bunch-Davies vacuum. This enables us to bypass complicated in-in calculations for Bogolyubov states.

[ { "created": "Wed, 29 Mar 2023 18:00:03 GMT", "version": "v1" }, { "created": "Thu, 6 Apr 2023 12:18:31 GMT", "version": "v2" }, { "created": "Sun, 11 Jun 2023 21:37:17 GMT", "version": "v3" }, { "created": "Thu, 10 Aug 2023 00:18:15 GMT", "version": "v4" } ]

2023-08-16

[ [ "Ghosh", "Diptimoy", "" ], [ "Panchal", "Kushan", "" ], [ "Ullah", "Farman", "" ] ]

Boostless Bootstrap techniques have been applied by many in the literature to compute pure scalar and graviton correlators. In this paper, we focus primarily on mixed graviton and scalar correlators. We start by developing an EFT of Inflation (EFToI) with some general assumptions, clarifying various subtleties related to power counting. We verify explicitly the soft limits for mixed correlators, showing how they are satisfied for higher derivative operators beyond the Maldacena action. We clarify some confusion in the literature related to the soft limits for operators that modify the power spectra of gravitons or scalars. We then proceed to apply the boostless bootstrap rules to operators that do not modify the power spectra. Towards the end, we give a prescription that gives correlators for states that are Bogolyubov transforms of the Bunch-Davies vacuum, directly once we have the correlator for the Bunch-Davies vacuum. This enables us to bypass complicated in-in calculations for Bogolyubov states.

12.863588

11.466848

12.412872

10.70156

11.682968

12.417996

11.190547

11.739406

11.349195

13.74459

11.674209

11.122591

11.917513

11.510844

11.454427

11.742155

11.51374

10.88325

11.565342

12.084193

11.596642

0805.0826

Karen Yeats

Guillaume van Baalen, Dirk Kreimer, David Uminsky, and Karen Yeats

The QED beta-function from global solutions to Dyson-Schwinger equations

22 pages

Ann.Phys 324:205-219,2009; Annals Phys.324:205-219,2009

10.1016/j.aop.2008.05.007

null

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

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

We discuss the structure of beta functions as determined by the recursive nature of Dyson--Schwinger equations turned into an analysis of ordinary differential equations, with particular emphasis given to quantum electrodynamics. In particular we determine when a separatrix for solutions to such ODEs exists and clarify the existence of Landau poles beyond perturbation theory. Both are determined in terms of explicit conditions on the asymptotics for the growth of skeleton graphs.

[ { "created": "Wed, 7 May 2008 11:57:26 GMT", "version": "v1" } ]

2014-11-18

[ [ "van Baalen", "Guillaume", "" ], [ "Kreimer", "Dirk", "" ], [ "Uminsky", "David", "" ], [ "Yeats", "Karen", "" ] ]

We discuss the structure of beta functions as determined by the recursive nature of Dyson--Schwinger equations turned into an analysis of ordinary differential equations, with particular emphasis given to quantum electrodynamics. In particular we determine when a separatrix for solutions to such ODEs exists and clarify the existence of Landau poles beyond perturbation theory. Both are determined in terms of explicit conditions on the asymptotics for the growth of skeleton graphs.

17.676554

17.874842

19.811481

17.791241

20.011963

18.650438

18.701405

18.664434

18.637024

18.947447

17.790337

18.09996

18.200581

17.842257

18.266676

17.399439

18.371119

17.706776

17.823044

18.537855

17.63113

2205.15945

Christian Schubert

Naser Ahmadiniaz, Sang Pyo Kim and Christian Schubert

Generalized Gelfand-Dikii equation for fermionic Schwinger pair production

7 pages, 5 figures, based on a talk given by C. S. at LPHYS'21

J. Phys.: Conf. Ser. 2249 (2022) 012020

10.1088/1742-6596/2249/1/012020

null

hep-th hep-ph

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

Schwinger pair creation in a purely time-dependent electric field can be reduced to an effective quantum mechanical problem using a variety of formalisms. Here we develop an approach based on the Gelfand-Dikii equation for scalar QED, and on a generalization of that equation for spinor QED. We discuss a number of solvable special cases from this point of view. In previous work, two of the authors had shown for the scalar case how to use the well-known solitonic solutions of the KdV equation to construct P\"oschl-Teller like electric fields that do not pair create at some fixed but arbitrary momentum. Here, we present numerical evidence that this construction can be adapted to the fermionic case by a mere change of parameters.

[ { "created": "Tue, 31 May 2022 16:43:49 GMT", "version": "v1" } ]

2022-06-01

[ [ "Ahmadiniaz", "Naser", "" ], [ "Kim", "Sang Pyo", "" ], [ "Schubert", "Christian", "" ] ]

Schwinger pair creation in a purely time-dependent electric field can be reduced to an effective quantum mechanical problem using a variety of formalisms. Here we develop an approach based on the Gelfand-Dikii equation for scalar QED, and on a generalization of that equation for spinor QED. We discuss a number of solvable special cases from this point of view. In previous work, two of the authors had shown for the scalar case how to use the well-known solitonic solutions of the KdV equation to construct P\"oschl-Teller like electric fields that do not pair create at some fixed but arbitrary momentum. Here, we present numerical evidence that this construction can be adapted to the fermionic case by a mere change of parameters.

9.970073

9.079388

10.081075

9.671419

8.271974

9.087808

8.539325

8.567841

8.740526

10.276601

9.320321

8.910129

9.566298

9.202866

8.875285

8.54923

8.989162

8.813215

8.949302

9.799552

9.260421

1609.05827

Diego Rubiera-Garcia

D. Bazeia, L. Losano, Gonzalo J. Olmo, D. Rubiera-Garcia

Geodesically complete BTZ-type solutions of $2+1$ Born-Infeld gravity

24 single-column pages, 6 figures

Class. Quantum Grav. 34 (2017) 045006

10.1088/1361-6382/aa56f5

IFIC/17-06

hep-th gr-qc

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

We study Born-Infeld gravity coupled to a static, nonrotating electric field in $2+1$ dimensions and find exact analytical solutions. Two families of such solutions represent geodesically complete, and hence nonsingular, spacetimes. Another family represents a point-like charge with a singularity at the center. Despite the absence of rotation, these solutions resemble the charged, rotating BTZ solution of General Relativity but with a richer structure in terms of horizons. The nonsingular character of the first two families turn out to be attached to the emergence of a wormhole structure on their innermost region. This seems to be a generic prediction of extensions of General Relativity formulated in metric-affine (or Palatini) spaces, where metric and connection are regarded as independent degrees of freedom.

[ { "created": "Mon, 19 Sep 2016 17:00:17 GMT", "version": "v1" }, { "created": "Sat, 7 Jan 2017 10:28:56 GMT", "version": "v2" } ]

2017-02-09

[ [ "Bazeia", "D.", "" ], [ "Losano", "L.", "" ], [ "Olmo", "Gonzalo J.", "" ], [ "Rubiera-Garcia", "D.", "" ] ]

We study Born-Infeld gravity coupled to a static, nonrotating electric field in $2+1$ dimensions and find exact analytical solutions. Two families of such solutions represent geodesically complete, and hence nonsingular, spacetimes. Another family represents a point-like charge with a singularity at the center. Despite the absence of rotation, these solutions resemble the charged, rotating BTZ solution of General Relativity but with a richer structure in terms of horizons. The nonsingular character of the first two families turn out to be attached to the emergence of a wormhole structure on their innermost region. This seems to be a generic prediction of extensions of General Relativity formulated in metric-affine (or Palatini) spaces, where metric and connection are regarded as independent degrees of freedom.

9.140912

10.617755

8.903123

8.943142

9.424517

9.014756

9.346877

8.334348

9.137062

9.449718

9.298454

9.092615

8.883948

8.919863

9.052371

8.762268

8.863164

8.982497

9.140512

9.122061

8.889909

hep-th/0502233

Wesley Spalenza

Wander G. Ney, J. A. Helayel-Neto and Wesley Spalenza

Recent Results on N=2,4 Supersymmetry with Lorentz Symmetry Violating

pages 8, Presented on Fourth International Winter Conference on Mathematical Methods in Physics - CBPF/MCT, RJ Brazil

PoS WC2004 (2004) 046

null

hep-th

null

In this work, we propose the N=2 and N=4 supersymmetric extensions of the Lorentz-breaking Abelian Chern-Simons term. We formulate the question of the Lorentz violation in 6 and 10 dimensions to obtain the bosonic sectors of $N=2-$ and $N=4-$ supersymmetries, respectively. From this, we carry out an analysis in N=1, D=4 superspace and, in terms of $N=1-$ superfields, we are able to write down the N=2 and N=4 supersymmetric extensions of the Lorentz-violating action term.

[ { "created": "Sat, 26 Feb 2005 11:22:58 GMT", "version": "v1" } ]

2007-05-23

[ [ "Ney", "Wander G.", "" ], [ "Helayel-Neto", "J. A.", "" ], [ "Spalenza", "Wesley", "" ] ]

In this work, we propose the N=2 and N=4 supersymmetric extensions of the Lorentz-breaking Abelian Chern-Simons term. We formulate the question of the Lorentz violation in 6 and 10 dimensions to obtain the bosonic sectors of $N=2-$ and $N=4-$ supersymmetries, respectively. From this, we carry out an analysis in N=1, D=4 superspace and, in terms of $N=1-$ superfields, we are able to write down the N=2 and N=4 supersymmetric extensions of the Lorentz-violating action term.

5.974613

4.531514

6.276013

5.044564

4.621027

4.431736

4.633665

4.693071

4.906264

6.688438

5.002407

4.921953

5.870135

5.345991

5.303661

4.989325

4.928617

5.146514

5.28025

5.80246

5.20542

hep-th/9810104

Tim R. Morris

A manifestly gauge invariant exact renormalization group

Invited lectures at the Workshop on the Exact Renormalization Group, Faro, Portugal, Sept. 10-12, 1998. 32 pages including 24 figs. Conventions and notation changed to correspond to imminent papers, plus minor corrections

null

SHEP 98-12

hep-th cond-mat hep-lat hep-ph

null

In these lectures we describe the construction of a gauge invariant renormalization group equation for pure non-Abelian gauge theory. In the process, a non-perturbative gauge invariant continuum Wilsonian effective action is precisely defined. The formulation makes sense without gauge fixing and thus manifest gauge invariance may be preserved at all stages. In the large N limit (of SU(N) gauge theory) the effective action simplifies: it may be expressed through a path integral for a single particle whose trajectory describes a Wilson loop. Regularization is achieved with the help of a set of Pauli-Villars fields whose formulation follows naturally in this picture. Finally, we show how the one loop beta function was computed, for the first time without any gauge fixing.

[ { "created": "Wed, 14 Oct 1998 16:50:31 GMT", "version": "v1" }, { "created": "Fri, 16 Oct 1998 20:54:48 GMT", "version": "v2" }, { "created": "Wed, 6 Oct 1999 16:59:42 GMT", "version": "v3" } ]

2007-05-23

[ [ "Morris", "Tim R.", "" ] ]

In these lectures we describe the construction of a gauge invariant renormalization group equation for pure non-Abelian gauge theory. In the process, a non-perturbative gauge invariant continuum Wilsonian effective action is precisely defined. The formulation makes sense without gauge fixing and thus manifest gauge invariance may be preserved at all stages. In the large N limit (of SU(N) gauge theory) the effective action simplifies: it may be expressed through a path integral for a single particle whose trajectory describes a Wilson loop. Regularization is achieved with the help of a set of Pauli-Villars fields whose formulation follows naturally in this picture. Finally, we show how the one loop beta function was computed, for the first time without any gauge fixing.

10.210039

9.078498

10.054743

8.674335

9.305395

9.457232

9.437849

9.278629

9.111758

11.730322

9.129262

9.516097

10.109801

9.355663

9.290397

9.407649

9.283456

9.521619

9.691059

9.992016

9.210245

1010.4729

Orfeu Bertolami

Catarina Bastos, Orfeu Bertolami, Nuno Costa Dias and Jo\~ao Nuno Prata

Entropic Gravity, Phase-Space Noncommutativity and the Equivalence Principle

12 pages. Version to appear at the Classical and Quantum Gravity

Class.Quant.Grav.28:125007,2011

10.1088/0264-9381/28/12/125007

null

hep-th gr-qc hep-ph

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

We generalize E. Verlinde's entropic gravity reasoning to a phase-space noncommutativity set-up. This allow us to impose a bound on the product of the noncommutative parameters based on the Equivalence Principle. The key feature of our analysis is an effective Planck's constant that naturally arises when accounting for the noncommutative features of the phase-space.

[ { "created": "Fri, 22 Oct 2010 14:40:14 GMT", "version": "v1" }, { "created": "Thu, 9 Dec 2010 13:00:50 GMT", "version": "v2" }, { "created": "Sat, 23 Apr 2011 22:20:55 GMT", "version": "v3" } ]

2011-05-09

[ [ "Bastos", "Catarina", "" ], [ "Bertolami", "Orfeu", "" ], [ "Dias", "Nuno Costa", "" ], [ "Prata", "João Nuno", "" ] ]

We generalize E. Verlinde's entropic gravity reasoning to a phase-space noncommutativity set-up. This allow us to impose a bound on the product of the noncommutative parameters based on the Equivalence Principle. The key feature of our analysis is an effective Planck's constant that naturally arises when accounting for the noncommutative features of the phase-space.

12.793071

9.636877

9.999984

9.395085

10.198337

9.833465

10.00248

8.655415

9.130934

10.762179

10.272983

9.662375

10.062304

9.418012

9.916077

9.832614

9.992381

9.436213

9.954696

10.142367

10.050376

1202.1433

Blaise Rollier

Jelle Hartong and Blaise Rollier

Asymptotically Schr\"odinger Space-Times

6 pages, based on a contribution to the Proceedings of the XVII European Workshop on String Theory (Padova, 5-9 September 2011)

null

10.1002/prop.201200038

null

hep-th

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

We first review how asymptotically Schr\"odinger space-times arise in a natural way by performing a TsT transformation on asymptotically AdS space-times and some of its consequences. We then give a coordinate independent definition of a pure Schr\"odinger space-time in terms of an AdS metric and an AdS null Killing vector. Then, by analogy with the AdS case, we provide a local and coordinate independent definition of a Schr\"odinger boundary in terms of a defining function. We use this to construct the Fefferman-Graham expansions of locally Schr\"odinger space-times.

[ { "created": "Tue, 7 Feb 2012 14:28:35 GMT", "version": "v1" } ]

2015-06-04

[ [ "Hartong", "Jelle", "" ], [ "Rollier", "Blaise", "" ] ]

We first review how asymptotically Schr\"odinger space-times arise in a natural way by performing a TsT transformation on asymptotically AdS space-times and some of its consequences. We then give a coordinate independent definition of a pure Schr\"odinger space-time in terms of an AdS metric and an AdS null Killing vector. Then, by analogy with the AdS case, we provide a local and coordinate independent definition of a Schr\"odinger boundary in terms of a defining function. We use this to construct the Fefferman-Graham expansions of locally Schr\"odinger space-times.

7.101884

6.142421

6.75385

5.71371

5.923676

5.588963

6.079577

5.79569

5.631907

6.710951

5.57712

5.592846

6.506536

5.975718

5.823708

5.873625

5.66979

5.773619

5.810265

6.41139

5.795082

1911.10218

Gregor K\"alin

Gregor K\"alin, Gustav Mogull, Alexander Ochirov, and Bram Verbeek

Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes

36 pages + appendices + references; v2: fixed references and minor typos

null

10.1007/JHEP01(2020)068

UUITP-47/19, SLAC-PUB-17488

hep-th hep-ph

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

Using a careful choice of infrared (IR) subtraction scheme, we demonstrate the cancellation of all terms with transcendental weights 0,1,2 from the finite part of the full-color two-loop four-gluon $\mathcal{N}=2$ supersymmetric QCD amplitude, with $N_f$ massless supersymmetric quarks. This generalizes the previously observed cancellation of weight-2 terms in the superconformal theory, where $N_f=2N_c$ for gauge group SU$(N_c)$. The subtraction scheme follows naturally both from general IR factorization principles and from an integrand-level analysis of divergences in this amplitude. The divergences are written in terms of scalar triangle integrals whose expressions are known to all orders in the dimensional regulator $\epsilon=(4-D)/2$. We also present integrated expressions for the full-color two-loop four-point amplitudes with both matter and vectors on external legs in which lower-weight terms also cancel using an appropriate IR scheme. This provides us with values for the two-loop cusp, gluonic, and quark anomalous dimensions in $\mathcal{N}=2$ supersymmetric QCD, which are cross-checked between the three different amplitudes.

[ { "created": "Fri, 22 Nov 2019 19:05:53 GMT", "version": "v1" }, { "created": "Mon, 17 Feb 2020 17:44:13 GMT", "version": "v2" } ]

2020-02-19

[ [ "Kälin", "Gregor", "" ], [ "Mogull", "Gustav", "" ], [ "Ochirov", "Alexander", "" ], [ "Verbeek", "Bram", "" ] ]

Using a careful choice of infrared (IR) subtraction scheme, we demonstrate the cancellation of all terms with transcendental weights 0,1,2 from the finite part of the full-color two-loop four-gluon $\mathcal{N}=2$ supersymmetric QCD amplitude, with $N_f$ massless supersymmetric quarks. This generalizes the previously observed cancellation of weight-2 terms in the superconformal theory, where $N_f=2N_c$ for gauge group SU$(N_c)$. The subtraction scheme follows naturally both from general IR factorization principles and from an integrand-level analysis of divergences in this amplitude. The divergences are written in terms of scalar triangle integrals whose expressions are known to all orders in the dimensional regulator $\epsilon=(4-D)/2$. We also present integrated expressions for the full-color two-loop four-point amplitudes with both matter and vectors on external legs in which lower-weight terms also cancel using an appropriate IR scheme. This provides us with values for the two-loop cusp, gluonic, and quark anomalous dimensions in $\mathcal{N}=2$ supersymmetric QCD, which are cross-checked between the three different amplitudes.

7.956357

8.073398

8.262089

7.434497

8.118259

8.26109

8.515116

7.695321

7.583353

8.613755

7.428638

7.631162

7.741748

7.432608

7.599431

7.378502

7.456769

7.571251

7.427828

7.478877

7.414832

1211.3425

David Berenstein

Curtis T. Asplund, David Berenstein, Eric Dzienkowski

Large N classical dynamics of holographic matrix models

30 pages, 15 figures

Phys. Rev. D, 87, 084044 (2013)

10.1103/PhysRevD.87.084044

null

hep-th

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

Using a numerical simulation of the classical dynamics of the plane-wave and flat space matrix models of M-theory, we study the thermalization, equilibrium thermodynamics and fluctuations of these models as we vary the temperature and the size of the matrices, N. We present our numerical implementation in detail and several checks of its precision and consistency. We show evidence for thermalization by matching the time-averaged distributions of the matrix eigenvalues to the distributions of the appropriate Traceless Gaussian Unitary Ensemble of random matrices. We study the autocorrelations and power spectra for various fluctuating observables and observe evidence of the expected chaotic dynamics as well as a hydrodynamic type limit at large N, including near-equilibrium dissipation processes. These configurations are holographically dual to black holes in the dual string theory or M-theory and we discuss how our results could be related to the corresponding supergravity black hole solutions.

[ { "created": "Wed, 14 Nov 2012 21:04:52 GMT", "version": "v1" } ]

2013-05-20

[ [ "Asplund", "Curtis T.", "" ], [ "Berenstein", "David", "" ], [ "Dzienkowski", "Eric", "" ] ]

Using a numerical simulation of the classical dynamics of the plane-wave and flat space matrix models of M-theory, we study the thermalization, equilibrium thermodynamics and fluctuations of these models as we vary the temperature and the size of the matrices, N. We present our numerical implementation in detail and several checks of its precision and consistency. We show evidence for thermalization by matching the time-averaged distributions of the matrix eigenvalues to the distributions of the appropriate Traceless Gaussian Unitary Ensemble of random matrices. We study the autocorrelations and power spectra for various fluctuating observables and observe evidence of the expected chaotic dynamics as well as a hydrodynamic type limit at large N, including near-equilibrium dissipation processes. These configurations are holographically dual to black holes in the dual string theory or M-theory and we discuss how our results could be related to the corresponding supergravity black hole solutions.

12.855175

12.748979

13.687399

12.001411

13.50889

11.970474

12.205132

12.174722

11.643254

14.220079

12.659122

11.490161

12.277616

11.482174

11.747444

11.901417

11.510878

11.995621

11.479559

11.977134

11.513562

hep-th/0505009

Dan Gorbonos

Dan Gorbonos and Barak Kol

Matched Asymptotic Expansion for Caged Black Holes - Regularization of the Post-Newtonian Order

28 pages, 5 figures. v2:published version

Class.Quant.Grav. 22 (2005) 3935-3960

10.1088/0264-9381/22/19/009

null

hep-th gr-qc

null

The "dialogue of multipoles" matched asymptotic expansion for small black holes in the presence of compact dimensions is extended to the Post-Newtonian order for arbitrary dimensions. Divergences are identified and are regularized through the matching constants, a method valid to all orders and known as Hadamard's partie finie. It is closely related to "subtraction of self-interaction" and shows similarities with the regularization of quantum field theories. The black hole's mass and tension (and the "black hole Archimedes effect") are obtained explicitly at this order, and a Newtonian derivation for the leading term in the tension is demonstrated. Implications for the phase diagram are analyzed, finding agreement with numerical results and extrapolation shows hints for Sorkin's critical dimension - a dimension where the transition turns second order.

[ { "created": "Sun, 1 May 2005 17:25:42 GMT", "version": "v1" }, { "created": "Thu, 27 Oct 2005 14:28:04 GMT", "version": "v2" } ]

2009-11-11

[ [ "Gorbonos", "Dan", "" ], [ "Kol", "Barak", "" ] ]

The "dialogue of multipoles" matched asymptotic expansion for small black holes in the presence of compact dimensions is extended to the Post-Newtonian order for arbitrary dimensions. Divergences are identified and are regularized through the matching constants, a method valid to all orders and known as Hadamard's partie finie. It is closely related to "subtraction of self-interaction" and shows similarities with the regularization of quantum field theories. The black hole's mass and tension (and the "black hole Archimedes effect") are obtained explicitly at this order, and a Newtonian derivation for the leading term in the tension is demonstrated. Implications for the phase diagram are analyzed, finding agreement with numerical results and extrapolation shows hints for Sorkin's critical dimension - a dimension where the transition turns second order.

19.261292

18.809664

19.30691

17.830711

20.8428

20.147619

20.25057

20.479874

18.946074

22.237217

19.215336

19.184393

18.19055

18.352995

18.165047

18.766151

18.330534

18.649067

18.54878

18.609268

18.765181

0912.3491

Axel Kleinschmidt

Thibault Damour, Axel Kleinschmidt, Hermann Nicolai

Sugawara-type constraints in hyperbolic coset models

49 pages

Commun.Math.Phys.302:755-788,2011

10.1007/s00220-011-1188-y

IHES/P/09/47, ULB-TH/09-39, AEI-2009-112

hep-th gr-qc

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

In the conjectured correspondence between supergravity and geodesic models on infinite-dimensional hyperbolic coset spaces, and E10/K(E10) in particular, the constraints play a central role. We present a Sugawara-type construction in terms of the E10 Noether charges that extends these constraints infinitely into the hyperbolic algebra, in contrast to the truncated expressions obtained in arXiv:0709.2691 that involved only finitely many generators. Our extended constraints are associated to an infinite set of roots which are all imaginary, and in fact fill the closed past light-cone of the Lorentzian root lattice. The construction makes crucial use of the E10 Weyl group and of the fact that the E10 model contains both D=11 supergravity and D=10 IIB supergravity. Our extended constraints appear to unite in a remarkable manner the different canonical constraints of these two theories. This construction may also shed new light on the issue of `open constraint algebras' in traditional canonical approaches to gravity.

[ { "created": "Thu, 17 Dec 2009 19:00:28 GMT", "version": "v1" } ]

2011-03-02

[ [ "Damour", "Thibault", "" ], [ "Kleinschmidt", "Axel", "" ], [ "Nicolai", "Hermann", "" ] ]

In the conjectured correspondence between supergravity and geodesic models on infinite-dimensional hyperbolic coset spaces, and E10/K(E10) in particular, the constraints play a central role. We present a Sugawara-type construction in terms of the E10 Noether charges that extends these constraints infinitely into the hyperbolic algebra, in contrast to the truncated expressions obtained in arXiv:0709.2691 that involved only finitely many generators. Our extended constraints are associated to an infinite set of roots which are all imaginary, and in fact fill the closed past light-cone of the Lorentzian root lattice. The construction makes crucial use of the E10 Weyl group and of the fact that the E10 model contains both D=11 supergravity and D=10 IIB supergravity. Our extended constraints appear to unite in a remarkable manner the different canonical constraints of these two theories. This construction may also shed new light on the issue of `open constraint algebras' in traditional canonical approaches to gravity.

12.184574

12.878867

12.904169

11.439629

11.659221

11.306681

12.525619

11.422925

11.424932

12.834967

11.059925

10.658247

11.652221

11.603847

11.13096

10.944584

11.210986

11.091164

11.303441

12.089326

11.473789

1503.05537

Lorenzo Di Pietro

Benjamin Assel, Davide Cassani, Lorenzo Di Pietro, Zohar Komargodski, Jakob Lorenzen, and Dario Martelli

The Casimir Energy in Curved Space and its Supersymmetric Counterpart

53 pages; v2: minor changes, references added, version published in JHEP

JHEP 07 (2015) 043

null

hep-th

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

We study $d$-dimensional Conformal Field Theories (CFTs) on the cylinder, $S^{d-1}\times \mathbb{R}$, and its deformations. In $d=2$ the Casimir energy (i.e. the vacuum energy) is universal and is related to the central charge $c$. In $d=4$ the vacuum energy depends on the regularization scheme and has no intrinsic value. We show that this property extends to infinitesimally deformed cylinders and support this conclusion with a holographic check. However, for $\mathcal{N}=1$ supersymmetric CFTs, a natural analog of the Casimir energy turns out to be scheme independent and thus intrinsic. We give two proofs of this result. We compute the Casimir energy for such theories by reducing to a problem in supersymmetric quantum mechanics. For the round cylinder the vacuum energy is proportional to $a+3c$. We also compute the dependence of the Casimir energy on the squashing parameter of the cylinder. Finally, we revisit the problem of supersymmetric regularization of the path integral on Hopf surfaces.

[ { "created": "Wed, 18 Mar 2015 19:21:29 GMT", "version": "v1" }, { "created": "Mon, 20 Jul 2015 14:22:54 GMT", "version": "v2" } ]

2015-07-21

[ [ "Assel", "Benjamin", "" ], [ "Cassani", "Davide", "" ], [ "Di Pietro", "Lorenzo", "" ], [ "Komargodski", "Zohar", "" ], [ "Lorenzen", "Jakob", "" ], [ "Martelli", "Dario", "" ] ]

We study $d$-dimensional Conformal Field Theories (CFTs) on the cylinder, $S^{d-1}\times \mathbb{R}$, and its deformations. In $d=2$ the Casimir energy (i.e. the vacuum energy) is universal and is related to the central charge $c$. In $d=4$ the vacuum energy depends on the regularization scheme and has no intrinsic value. We show that this property extends to infinitesimally deformed cylinders and support this conclusion with a holographic check. However, for $\mathcal{N}=1$ supersymmetric CFTs, a natural analog of the Casimir energy turns out to be scheme independent and thus intrinsic. We give two proofs of this result. We compute the Casimir energy for such theories by reducing to a problem in supersymmetric quantum mechanics. For the round cylinder the vacuum energy is proportional to $a+3c$. We also compute the dependence of the Casimir energy on the squashing parameter of the cylinder. Finally, we revisit the problem of supersymmetric regularization of the path integral on Hopf surfaces.

6.172905

6.012907

6.82463

6.011509

6.327254

6.23052

5.80519

6.199744

5.806841

7.089469

5.924986

5.839096

6.439602

6.134374

5.82699

5.933282

5.884664

5.989666

5.917799

6.340945

5.944035

hep-th/9912002

Slava Zhukov

Martijn Wijnholt and Slava Zhukov

On the Uniqueness of Black Hole Attractors

18 pages, 2 figures, harvmac big mode

null

HUTP-99/A066

hep-th

null

We examine the attractor mechanism for extremal black holes in the context of five dimensional N = 2 supergravity and show that attractor points are unique in the extended vector multiplet moduli space. Implications for black hole entropy are discussed.

[ { "created": "Wed, 1 Dec 1999 00:27:10 GMT", "version": "v1" } ]

2007-05-23

[ [ "Wijnholt", "Martijn", "" ], [ "Zhukov", "Slava", "" ] ]

We examine the attractor mechanism for extremal black holes in the context of five dimensional N = 2 supergravity and show that attractor points are unique in the extended vector multiplet moduli space. Implications for black hole entropy are discussed.

9.097861

5.435838

7.86794

5.331766

5.482837

6.405682

5.367913

5.099101

5.945035

7.094126

5.66111

6.127078

6.922612

5.960868

6.199634

5.998363

6.012429

5.696393

5.746774

7.070991

5.964437

hep-th/0307066

Katrin Wendland

On Superconformal Field Theories Associated to Very Attractive Quartics

22 pages; Contribution to the proceedings of the Les Houches session "Frontiers in Number Theory, Physics and Geometry"; typos corrected

in: Frontiers in number theory, physics and geometry II, 223-244 , Springer, Berlin, 2007

null

hep-th math.AG

null

We study N=(4,4) superconformal field theories with left and right central charge c=6 which allow geometric interpretations on specific quartic hypersurfaces in CP^3. Namely, we recall the proof that the Gepner model (2)^4 admits a geometric interpretation on the Fermat quartic and give an independent cross-check of this result, providing a link to the "mirror moonshine phenomenon" on K3. We clarify the role of Shioda-Inose structures in our proof and thereby generalize it: We introduce "very attractive quartics" and show how on each of them a superconformal field theory can be constructed explicitly.

[ { "created": "Mon, 7 Jul 2003 14:31:06 GMT", "version": "v1" }, { "created": "Sun, 18 Dec 2005 18:32:54 GMT", "version": "v2" } ]

2020-04-28

[ [ "Wendland", "Katrin", "" ] ]

We study N=(4,4) superconformal field theories with left and right central charge c=6 which allow geometric interpretations on specific quartic hypersurfaces in CP^3. Namely, we recall the proof that the Gepner model (2)^4 admits a geometric interpretation on the Fermat quartic and give an independent cross-check of this result, providing a link to the "mirror moonshine phenomenon" on K3. We clarify the role of Shioda-Inose structures in our proof and thereby generalize it: We introduce "very attractive quartics" and show how on each of them a superconformal field theory can be constructed explicitly.

10.948812

12.285086

15.497305

10.413829

11.278772

11.343431

10.892024

11.639119

11.724771

13.589828

11.686291

11.285817

12.541476

11.002089

11.380805

10.919126

10.986557

11.098624

10.885916

12.373816

10.523314

hep-th/9207115

Abhi

Abhijit K. Kshirsagar

Towards a path integral for the pure-spin connection formulation of gravity

8 pages in plain-TeX.-----IUCAA_TH/92

Class.Quant.Grav.10:1859-1864,1993

10.1088/0264-9381/10/9/025

null

hep-th

null

A proposal for the path-integral of pure-spin-connection formulation of gravity is described, based on the two-form formulation of Capovilla et. al. It is shown that the resulting effective-action for the spin-connection, upon functional integration of the two-form field $\Sigma$ and the auxiliary matrix field $\psi$ is {\it non-polynomial}, even for the case of vanishing cosmological constant and absence of any matter couplings. Further, a diagramatic evaluation is proposed for the contribution of the matrix-field to the pure spin connection action.

[ { "created": "Fri, 31 Jul 1992 16:54:11 GMT", "version": "v1" } ]

2010-04-06

[ [ "Kshirsagar", "Abhijit K.", "" ] ]

A proposal for the path-integral of pure-spin-connection formulation of gravity is described, based on the two-form formulation of Capovilla et. al. It is shown that the resulting effective-action for the spin-connection, upon functional integration of the two-form field $\Sigma$ and the auxiliary matrix field $\psi$ is {\it non-polynomial}, even for the case of vanishing cosmological constant and absence of any matter couplings. Further, a diagramatic evaluation is proposed for the contribution of the matrix-field to the pure spin connection action.

12.966531

12.917879

11.475915

10.929499

10.919779

11.349059

12.176222

10.890744

11.014242

10.902469

12.08501

11.074324

11.40215

10.668631

10.745086

10.838067

10.652229

10.289663

10.93215

11.474806

11.049974

0907.4342

Steffen Krusch

Steffen Krusch and Mark Roberts

Recent Developments in the Skyrme Model

9 pages, 1 figure. Talk given at 15th International Seminar on High Energy Physics: Quarks - 2008, Sergiev Posad, Russia, 23-29 May 2008

null

hep-th

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

In this talk, we describe recent developments in the Skyrme model. Our main focus is on discussing various effects which need to be taken into account, when calculating the properties of light atomic nuclei in the Skyrme model. We argue that an important step is to understand "spinning Skyrmions" and discuss the theory of relative equilibria in this context.

[ { "created": "Fri, 24 Jul 2009 17:10:53 GMT", "version": "v1" } ]

2009-07-27

[ [ "Krusch", "Steffen", "" ], [ "Roberts", "Mark", "" ] ]

In this talk, we describe recent developments in the Skyrme model. Our main focus is on discussing various effects which need to be taken into account, when calculating the properties of light atomic nuclei in the Skyrme model. We argue that an important step is to understand "spinning Skyrmions" and discuss the theory of relative equilibria in this context.

11.924623

11.437589

10.546593

9.88835

10.242865

10.664655

12.007613

10.1611

10.315683

10.799074

10.567303

9.902673

10.381342

9.885648

10.085036

10.167135

10.022385

10.420828

10.215227

11.082163

10.396788

0903.2365

Alexander Burinskii

Beam-like Excitations of Kerr-Schild Geometry and Semiclassical Mechanism of Black-Hole Evaporation

8 pages, revtex4, 3 figures, treatment is extended, new figure and references added

null

hep-th gr-qc nucl-th quant-ph

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

It has been observed that exact solutions for electromagnetic (EM) excitations of the Kerr-Schild (KS) geometry form outgoing beams which have very strong back reaction to metric and break the black hole horizon. As a result, interaction of a black hole with nearby electromagnetic field and electromagnetic vacuum has to cover the horizon by a set of fluctuating microholes. We integrate and analyze the Debney-Kerr-Schild equations for electromagnetic excitations of a black-hole and obtain that the exact solutions for outgoing radiation contain two related but radically different components which shed light on a possible semi-classical mechanism of black-hole evaporation: a) first component consists of the singular beam pulses which perforate horizon, breaking its impenetrability, and b) another component is regular and responsible for the loss of mass similar to the known Vaidya `shining star' radiation. We show also that the mysterious twosheeted twistor structure of the Kerr-Schild geometry corresponds to a holographic structure of quantum black hole spacetimes predicted by Stephens, t' Hooft and Whiting. The resulting Kerr-Schild geometry of fluctuating twistor-beams takes an intermediate position between the classical and quantum gravity.

[ { "created": "Fri, 13 Mar 2009 12:31:04 GMT", "version": "v1" }, { "created": "Fri, 5 Jun 2009 14:21:21 GMT", "version": "v2" }, { "created": "Thu, 18 Jun 2009 13:25:21 GMT", "version": "v3" } ]

2009-06-18

[ [ "Burinskii", "Alexander", "" ] ]

It has been observed that exact solutions for electromagnetic (EM) excitations of the Kerr-Schild (KS) geometry form outgoing beams which have very strong back reaction to metric and break the black hole horizon. As a result, interaction of a black hole with nearby electromagnetic field and electromagnetic vacuum has to cover the horizon by a set of fluctuating microholes. We integrate and analyze the Debney-Kerr-Schild equations for electromagnetic excitations of a black-hole and obtain that the exact solutions for outgoing radiation contain two related but radically different components which shed light on a possible semi-classical mechanism of black-hole evaporation: a) first component consists of the singular beam pulses which perforate horizon, breaking its impenetrability, and b) another component is regular and responsible for the loss of mass similar to the known Vaidya `shining star' radiation. We show also that the mysterious twosheeted twistor structure of the Kerr-Schild geometry corresponds to a holographic structure of quantum black hole spacetimes predicted by Stephens, t' Hooft and Whiting. The resulting Kerr-Schild geometry of fluctuating twistor-beams takes an intermediate position between the classical and quantum gravity.

23.567402

23.577297

21.836618

21.245527

23.49094

24.520153

25.664711

21.185648

23.004318

24.699766

22.180111

21.711872

21.780792

21.732519

22.698151

23.68568

22.565477

21.969584

22.778555

22.139797

22.553968

1601.07511

Gordon Kane

Gordon L. Kane

String/M-theories About Our World Are Testable in the traditional Physics Way

18 pages

null

hep-th hep-ph

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

Some physicists hope to use string/M-theory to construct a comprehensive underlying theory of our physical world a "final theory". Can such a theory be tested? A quantum theory of gravity must be formulated in 10 dimensions, so obviously testing it experimentally requires projecting it onto our 4D world (called "compactification"). Most string theorists study theories, including aspects such as AdS/CFT, not phenomena, and are not much interested in testing theories beyond the Standard Model about our world. Compactified theories generically have many realistic features whose necessary presence provides some tests, such as gravity, Yang-Mills forces like the Standard Model ones, chiral fermions that lead to parity violation, softly broken supersymmetry, Higgs physics, families, hierarchical fermion masses and more. All tests of theories in physics have always depended on assumptions and approximate calculations, and tests of compactified string/M-theories do too. String phenomenologists have also formulated some explicit tests for compactified theories. In particular, I give examples of tests from compactified M-theory (involving Higgs physics, predictions for superpartners at LHC, electric dipole moments, and more). It is clear that compactified theories exist that can describe worlds like ours, and it is clear that even if a multiverse were real it does not prevent us from finding comprehensive compactified theories like one that might describe our world. I also discuss what we might mean by a final theory, what we might want it to explain, and comment briefly on multiverse issues from the point of view of finding a theory that describes our world.

[ { "created": "Wed, 27 Jan 2016 19:21:42 GMT", "version": "v1" } ]

2016-01-28

[ [ "Kane", "Gordon L.", "" ] ]

Some physicists hope to use string/M-theory to construct a comprehensive underlying theory of our physical world a "final theory". Can such a theory be tested? A quantum theory of gravity must be formulated in 10 dimensions, so obviously testing it experimentally requires projecting it onto our 4D world (called "compactification"). Most string theorists study theories, including aspects such as AdS/CFT, not phenomena, and are not much interested in testing theories beyond the Standard Model about our world. Compactified theories generically have many realistic features whose necessary presence provides some tests, such as gravity, Yang-Mills forces like the Standard Model ones, chiral fermions that lead to parity violation, softly broken supersymmetry, Higgs physics, families, hierarchical fermion masses and more. All tests of theories in physics have always depended on assumptions and approximate calculations, and tests of compactified string/M-theories do too. String phenomenologists have also formulated some explicit tests for compactified theories. In particular, I give examples of tests from compactified M-theory (involving Higgs physics, predictions for superpartners at LHC, electric dipole moments, and more). It is clear that compactified theories exist that can describe worlds like ours, and it is clear that even if a multiverse were real it does not prevent us from finding comprehensive compactified theories like one that might describe our world. I also discuss what we might mean by a final theory, what we might want it to explain, and comment briefly on multiverse issues from the point of view of finding a theory that describes our world.

13.024187

15.422062

13.93624

13.654645

14.523786

13.827943

15.129391

13.932941

13.628323

15.481771

13.497915

13.329815

13.020491

13.080994

13.128081

13.234892

13.147391

13.339741

12.680956

13.189015

12.940886

1610.02870

Ali Seraj

Multipole charge conservation and implications on electromagnetic radiation

21 pages, 2 figures; v2: section 4.2 added, minor corrections

null

10.1007/JHEP06(2017)080

null

hep-th gr-qc

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

It is shown that conserved charges associated with a specific subclass of gauge symmetries of Maxwell electrodynamics are proportional to the well known electric multipole moments. The symmetries are residual gauge transformations surviving after fixing the Lorenz gauge, and have nontrivial charge. These "Multipole charges" receive contributions both from the charged matter and electromagnetic fields. The former is nothing but the electric multipole moment of the source. In a stationary configuration, there is a novel equipartition relation between the two contributions. The multipole charge, while conserved, can freely interpolate between the source and the electromagnetic field, and therefore can be propagated with the radiation. Using the multipole charge conservation, we obtain infinite number of constraints over the radiation produced by the dynamics of charged matter.

[ { "created": "Mon, 10 Oct 2016 12:01:35 GMT", "version": "v1" }, { "created": "Thu, 27 Oct 2016 11:03:31 GMT", "version": "v2" } ]

2017-08-02

[ [ "Seraj", "Ali", "" ] ]

It is shown that conserved charges associated with a specific subclass of gauge symmetries of Maxwell electrodynamics are proportional to the well known electric multipole moments. The symmetries are residual gauge transformations surviving after fixing the Lorenz gauge, and have nontrivial charge. These "Multipole charges" receive contributions both from the charged matter and electromagnetic fields. The former is nothing but the electric multipole moment of the source. In a stationary configuration, there is a novel equipartition relation between the two contributions. The multipole charge, while conserved, can freely interpolate between the source and the electromagnetic field, and therefore can be propagated with the radiation. Using the multipole charge conservation, we obtain infinite number of constraints over the radiation produced by the dynamics of charged matter.

11.536386

12.197322

11.779861

10.943036

12.064049

13.146877

12.166445

12.52313

11.751397

12.473359

11.246057

11.433158

11.230427

10.891974

10.986392

11.269058

11.327497

11.032548

11.229544

10.798391

10.979876

1007.4829

Badis Ydri

New Phenomena in NC Field Theory and Emergent Spacetime Geometry

16 pages,7 figures, a contribution to the Constantine workshop on Astronomy and Astrophysics, june 2010

AIP Conf.Proc.1295:150-163,2010

10.1063/1.3518330

null

hep-th gr-qc hep-lat hep-ph

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

We give a brief review of two nonperturbative phenomena typical of noncommutative field theory which are known to lead to the perturbative instability known as the UV-IR mixing. The first phenomena concerns the emergence/evaporation of spacetime geometry in matrix models which describe perturbative noncommutative gauge theory on fuzzy backgrounds. In particular we show that the transition from a geometrical background to a matrix phase makes the description of noncommutative gauge theory in terms of fields via the Weyl map only valid below a critical value g_*. The second phenomena concerns the appearance of a nonuniform ordered phase in noncommutative scalar \phi^4 field theory and the spontaneous symmetry breaking of translational/rotational invariance which happens even in two dimensions. We argue that this phenomena also originates in the underlying matrix degrees of freedom of the noncommutative field theory. Furthermore it is conjectured that in addition to the usual WF fixed point at $\theta=0$ there must exist a novel fixed point at \theta=\infty corresponding to the quartic hermitian matrix model.

[ { "created": "Tue, 27 Jul 2010 21:30:52 GMT", "version": "v1" } ]

2010-11-23

[ [ "Ydri", "Badis", "" ] ]

We give a brief review of two nonperturbative phenomena typical of noncommutative field theory which are known to lead to the perturbative instability known as the UV-IR mixing. The first phenomena concerns the emergence/evaporation of spacetime geometry in matrix models which describe perturbative noncommutative gauge theory on fuzzy backgrounds. In particular we show that the transition from a geometrical background to a matrix phase makes the description of noncommutative gauge theory in terms of fields via the Weyl map only valid below a critical value g_*. The second phenomena concerns the appearance of a nonuniform ordered phase in noncommutative scalar \phi^4 field theory and the spontaneous symmetry breaking of translational/rotational invariance which happens even in two dimensions. We argue that this phenomena also originates in the underlying matrix degrees of freedom of the noncommutative field theory. Furthermore it is conjectured that in addition to the usual WF fixed point at $\theta=0$ there must exist a novel fixed point at \theta=\infty corresponding to the quartic hermitian matrix model.

9.669007

9.481413

10.272411

9.209628

9.366336

9.615564

9.844072

9.013995

9.313606

10.739291

8.849243

8.936792

9.733624

9.424187

9.297279

9.173727

9.198055

9.049415

9.251375

9.837067

9.036399

1601.03974

Peter West

Alexander G. Tumanov and Peter West

E11 in 11D

13 pages. the l1 terms in equation (4.26) corrected. One sentence added to the conclusion. arXiv admin note: text overlap with arXiv:1512.01644

null

10.1016/j.physletb.2016.04.058

null

hep-th

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

We construct the non-linear realisation of the semi-direct product of E11 and its vector representation in eleven dimensions and find the dynamical equations it predicts at low levels. These equations are completely determined by the non-linear realisation and when restricted to contain only the usual fields of supergravity and the usual space-time we find precisely the equations of motion of eleven dimensional supergravity. This paper extends the results announced in arXiv:1512.01644 and in particular it contains the contributions to the equations of motion that involve derivatives with respect to the level one generalised coordinates.

[ { "created": "Fri, 15 Jan 2016 15:52:33 GMT", "version": "v1" }, { "created": "Fri, 22 Jan 2016 11:20:28 GMT", "version": "v2" }, { "created": "Fri, 19 Feb 2016 16:01:43 GMT", "version": "v3" } ]

2016-06-22

[ [ "Tumanov", "Alexander G.", "" ], [ "West", "Peter", "" ] ]

We construct the non-linear realisation of the semi-direct product of E11 and its vector representation in eleven dimensions and find the dynamical equations it predicts at low levels. These equations are completely determined by the non-linear realisation and when restricted to contain only the usual fields of supergravity and the usual space-time we find precisely the equations of motion of eleven dimensional supergravity. This paper extends the results announced in arXiv:1512.01644 and in particular it contains the contributions to the equations of motion that involve derivatives with respect to the level one generalised coordinates.

10.730087

6.355458

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6.83083

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6.28029

6.752346

6.727344

12.569691

6.760379

8.50797

10.795035

8.705826

8.762397

8.424218

8.503653

8.770461

8.695172

10.884532

8.676391

0705.3870

Andy O'Bannon

Andreas Karch and Andy O'Bannon

Metallic AdS/CFT

19 pages, no figures; v2 added two references, clarified discussion in section 3

JHEP 0709:024,2007

10.1088/1126-6708/2007/09/024

null

hep-th

null

We use the AdS/CFT correspondence to compute the conductivity of massive N=2 hypermultiplet fields at finite baryon number density in an N=4 SU(N_c) super-Yang-Mills theory plasma in the large N_c, large 't Hooft coupling limit. The finite baryon density provides charge carriers analogous to electrons in a metal. An external electric field then induces a finite current which we determine directly. Our result for the conductivity is good for all values of the mass, external field and density, modulo statements about the yet-incomplete phase diagram. In the appropriate limits it agrees with known results obtained from analyzing small fluctuations around equilibrium. For large mass, where we expect a good quasi-particle description, we compute the drag force on the charge carriers and find that the answer is unchanged from the zero density case. Our method easily generalizes to a wide class of systems of probe branes in various backgrounds.

[ { "created": "Sat, 26 May 2007 03:23:15 GMT", "version": "v1" }, { "created": "Mon, 10 Sep 2007 23:44:00 GMT", "version": "v2" } ]

2009-04-17

[ [ "Karch", "Andreas", "" ], [ "O'Bannon", "Andy", "" ] ]

We use the AdS/CFT correspondence to compute the conductivity of massive N=2 hypermultiplet fields at finite baryon number density in an N=4 SU(N_c) super-Yang-Mills theory plasma in the large N_c, large 't Hooft coupling limit. The finite baryon density provides charge carriers analogous to electrons in a metal. An external electric field then induces a finite current which we determine directly. Our result for the conductivity is good for all values of the mass, external field and density, modulo statements about the yet-incomplete phase diagram. In the appropriate limits it agrees with known results obtained from analyzing small fluctuations around equilibrium. For large mass, where we expect a good quasi-particle description, we compute the drag force on the charge carriers and find that the answer is unchanged from the zero density case. Our method easily generalizes to a wide class of systems of probe branes in various backgrounds.

8.700055

7.796124

9.840409

7.603943

7.733989

8.078346

7.625346

7.816885

8.032274

9.724604

7.967705

7.893301

8.801694

7.870807

7.862395

7.762256

7.899611

7.994601

8.069266

8.753753

7.890222

1711.11582

Nikita Nekrasov

BPS/CFT correspondence V: BPZ and KZ equations from qq-characters

39 pages, paper 5 of 5; some typos fixed, refs added

null

hep-th

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

We illustrate the use of the theory of $qq$-characters by deriving the BPZ and KZ-type equations for the partition functions of certain surface defects in quiver ${\mathcal N}=2$ theories. We generate a surface defect in the linear quiver theory by embedding it into a theory with additional node, with specific masses of the fundamental hypermultiplets. We prove that the supersymmetric partition function of this theory with $SU(2)^{r-3}$ gauge group verifies the celebrated Belavin-Polyakov-Zamolodchikov equation of two dimensional Liouville theory. We also study the $SU(N)$ theory with $2N$ fundamental hypermultiplets and the theory with adjoint hypermultiplet. We show that the regular orbifold defect in this theory solves the KZ-like equation of the WZW theory on a four punctured sphere and one-punctured torus, respectively. In the companion paper these equations will be mapped to the Knizhnik-Zamolodchikov equations

[ { "created": "Thu, 30 Nov 2017 18:54:46 GMT", "version": "v1" }, { "created": "Mon, 4 Dec 2017 04:31:32 GMT", "version": "v2" } ]

2017-12-05

[ [ "Nekrasov", "Nikita", "" ] ]

We illustrate the use of the theory of $qq$-characters by deriving the BPZ and KZ-type equations for the partition functions of certain surface defects in quiver ${\mathcal N}=2$ theories. We generate a surface defect in the linear quiver theory by embedding it into a theory with additional node, with specific masses of the fundamental hypermultiplets. We prove that the supersymmetric partition function of this theory with $SU(2)^{r-3}$ gauge group verifies the celebrated Belavin-Polyakov-Zamolodchikov equation of two dimensional Liouville theory. We also study the $SU(N)$ theory with $2N$ fundamental hypermultiplets and the theory with adjoint hypermultiplet. We show that the regular orbifold defect in this theory solves the KZ-like equation of the WZW theory on a four punctured sphere and one-punctured torus, respectively. In the companion paper these equations will be mapped to the Knizhnik-Zamolodchikov equations

7.606032

7.945456

9.116757

7.609393

7.885434

8.167715

7.849629

7.460158

7.919143

9.604453

7.968582

7.608753

8.060185

7.69206

7.895472

7.645232

7.756556

7.71138

7.883274

7.930466

7.783082

hep-th/0601210

Herbert Neuberger

R. Narayanan (FIU), H. Neuberger (Rutgers)

Infinite N phase transitions in continuum Wilson loop operators

31 pages, 9 figures, typos and references corrected, minor clarifications added

JHEP0603:064,2006

10.1088/1126-6708/2006/03/064

null

hep-th hep-lat hep-ph

null

We define smoothed Wilson loop operators on a four dimensional lattice and check numerically that they have a finite and nontrivial continuum limit. The continuum operators maintain their character as unitary matrices and undergo a phase transition at infinite N reflected by the eigenvalue distribution closing a gap in its spectrum when the defining smooth loop is dilated from a small size to a large one. If this large N phase transition belongs to a solvable universality class one might be able to calculate analytically the string tension in terms of the perturbative Lambda-parameter. This would be achieved by matching instanton results for small loops to the relevant large-N-universal function which, in turn, would be matched for large loops to an effective string theory. Similarities between our findings and known analytical results in two dimensional space-time indicate that the phase transitions we found only affect the eigenvalue distribution, but the traces of finite powers of the Wilson loop operators stay smooth under scaling.

[ { "created": "Sat, 28 Jan 2006 03:55:40 GMT", "version": "v1" }, { "created": "Mon, 27 Feb 2006 14:40:13 GMT", "version": "v2" } ]

2009-11-11

[ [ "Narayanan", "R.", "", "FIU" ], [ "Neuberger", "H.", "", "Rutgers" ] ]

We define smoothed Wilson loop operators on a four dimensional lattice and check numerically that they have a finite and nontrivial continuum limit. The continuum operators maintain their character as unitary matrices and undergo a phase transition at infinite N reflected by the eigenvalue distribution closing a gap in its spectrum when the defining smooth loop is dilated from a small size to a large one. If this large N phase transition belongs to a solvable universality class one might be able to calculate analytically the string tension in terms of the perturbative Lambda-parameter. This would be achieved by matching instanton results for small loops to the relevant large-N-universal function which, in turn, would be matched for large loops to an effective string theory. Similarities between our findings and known analytical results in two dimensional space-time indicate that the phase transitions we found only affect the eigenvalue distribution, but the traces of finite powers of the Wilson loop operators stay smooth under scaling.

17.092245

19.081053

19.705116

17.652338

20.25783

19.840561

18.762062

19.338974

18.218386

21.878872

17.374741

17.284174

17.797863

16.750782

17.57637

18.119961

17.223888

17.171181

17.08025

17.480099

17.466984

1008.2739

Robert Wimmer

Henning Samtleben and Robert Wimmer

N=6 Superspace Constraints, SUSY Enhancement and Monopole Operators

31 + 10 pages,v2: minor corrections, references added

JHEP 1010:080,2010

10.1007/JHEP10(2010)080

null

hep-th

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

We present a systematic analysis of the N=6 superspace constraints in three space-time dimensions. The general coupling between vector and scalar supermultiplets is encoded in an SU(4) tensor $W^i_j$ which is a function of the matter fields and subject to a set of algebraic and super-differential relations. We give a genuine N=6 classification for superconformal models with polynomial interactions and find the known ABJM and ABJ models. We further study the issue of supersymmetry enhancement to N=8 and the role of monopole operators in this scenario. To this end we assume the existence of a composite monopole operator superfield which we use to formulate the additional supersymmetries as internal symmetries of the N=6 superspace constraints. From the invariance conditions of these constraints we derive a system of superspace constraints for the proposed monopole operator superfield. This constraint system defines the composite monopole operator superfield analogously to the original N=6 superspace constraints defining the dynamics of the elementary fields.

[ { "created": "Mon, 16 Aug 2010 19:10:37 GMT", "version": "v1" }, { "created": "Thu, 21 Oct 2010 16:54:08 GMT", "version": "v2" } ]

2010-10-28

[ [ "Samtleben", "Henning", "" ], [ "Wimmer", "Robert", "" ] ]

We present a systematic analysis of the N=6 superspace constraints in three space-time dimensions. The general coupling between vector and scalar supermultiplets is encoded in an SU(4) tensor $W^i_j$ which is a function of the matter fields and subject to a set of algebraic and super-differential relations. We give a genuine N=6 classification for superconformal models with polynomial interactions and find the known ABJM and ABJ models. We further study the issue of supersymmetry enhancement to N=8 and the role of monopole operators in this scenario. To this end we assume the existence of a composite monopole operator superfield which we use to formulate the additional supersymmetries as internal symmetries of the N=6 superspace constraints. From the invariance conditions of these constraints we derive a system of superspace constraints for the proposed monopole operator superfield. This constraint system defines the composite monopole operator superfield analogously to the original N=6 superspace constraints defining the dynamics of the elementary fields.

8.606987

8.066127

9.770579

8.145856

8.362954

8.466972

7.931592

7.904752

8.553135

10.807739

7.861969

8.195456

8.878978

8.285932

8.061813

8.146297

8.408306

7.907633

8.236648

8.583067

8.039404

1712.09101

O-Kab Kwon

Dongmin Jang, Yoonbai Kim, O-Kab Kwon, D. D. Tolla

Gravity from Entanglement and RG Flow in a Top-down Approach

42 pages, no figure, minor corrections, references added

null

hep-th

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

The duality between a $d$-dimensional conformal field theory with relevant deformation and a gravity theory on an asymptotically AdS$_{d+1}$ geometry, has become a suitable tool in the investigation of the emergence of gravity from quantum entanglement in field theory. Recently, we have tested the duality between the mass-deformed ABJM theory and asymptotically AdS$_4$ gravity theory, which is obtained from the KK reduction of the 11-dimensional supergravity on the LLM geometry. In this paper, we extend the KK reduction procedure beyond the linear order and establish non-trivial KK maps between 4-dimensional fields and 11-dimensional fluctuations. We rely on this gauge/gravity duality to calculate the entanglement entropy by using the Ryu-Takayanagi holographic formula and the path integral method developed by Faulkner. We show that the entanglement entropies obtained using these two methods agree when the asymptotically AdS$_4$ metric satisfies the linearized Einstein equation with nonvanishing energy-momentum tensor for two scalar fields. These scalar fields encode the information of the relevant deformation of the ABJM theory. This confirms that the asymptotic limit of LLM geometry is the emergent gravity of the quantum entanglement in the mass-deformed ABJM theory with a small mass parameter. We also comment on the issue of the relative entropy and the Fisher information in our setup.

[ { "created": "Mon, 25 Dec 2017 17:15:17 GMT", "version": "v1" }, { "created": "Mon, 23 Apr 2018 14:20:52 GMT", "version": "v2" } ]

2018-04-24

[ [ "Jang", "Dongmin", "" ], [ "Kim", "Yoonbai", "" ], [ "Kwon", "O-Kab", "" ], [ "Tolla", "D. D.", "" ] ]

The duality between a $d$-dimensional conformal field theory with relevant deformation and a gravity theory on an asymptotically AdS$_{d+1}$ geometry, has become a suitable tool in the investigation of the emergence of gravity from quantum entanglement in field theory. Recently, we have tested the duality between the mass-deformed ABJM theory and asymptotically AdS$_4$ gravity theory, which is obtained from the KK reduction of the 11-dimensional supergravity on the LLM geometry. In this paper, we extend the KK reduction procedure beyond the linear order and establish non-trivial KK maps between 4-dimensional fields and 11-dimensional fluctuations. We rely on this gauge/gravity duality to calculate the entanglement entropy by using the Ryu-Takayanagi holographic formula and the path integral method developed by Faulkner. We show that the entanglement entropies obtained using these two methods agree when the asymptotically AdS$_4$ metric satisfies the linearized Einstein equation with nonvanishing energy-momentum tensor for two scalar fields. These scalar fields encode the information of the relevant deformation of the ABJM theory. This confirms that the asymptotic limit of LLM geometry is the emergent gravity of the quantum entanglement in the mass-deformed ABJM theory with a small mass parameter. We also comment on the issue of the relative entropy and the Fisher information in our setup.

6.316227

6.177722

6.951662

6.239701

6.378515

6.859077

6.642005

6.372979

6.342862

7.345448

6.198285

6.175285

6.305234

6.11216

6.196845

6.130802

6.286863

6.236907

6.193555

6.46859

6.197844

1510.05240

Fuzhong Yang

Hao Zou and Fu-Zhong Yang

Effective Superpotentials of Type II D-brane/F-theory on Compact Complete Intersection Calabi-Yau Threefolds

null

Mod. Phys. Lett. A, Vol. 31, No. 15 (2016) 1650094

10.1142/S0217732316500942

null

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

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

In this paper, we extend the GKZ-system method to the more general case: compact Complete Intersection Calabi-Yau manifolds (CICY). For several one-deformation modulus compact CICYs with D-branes, the on-shell superpotentials in this paper from the extended GKZ-system method are exactly consistent with published results obtained from other methods. We further compute the off-shell superpotentials of these models. Then we obtain both the on-shell and off-shell superpotentials for sev- eral two-deformation moduli compact CICYs with D-branes by using the extended GKZ-system method. The discrete symmetrical groups, Z2, Z3 and Z4, of the holo- morphic curves wrapped by D-branes play the important roles in computing the superpotentials, in some sense, they are the quantum symmetries of these models. Furthermore, through the mirror symmetry, the Ooguri-Vafa invariants are extracted from the A-model instanton expansion.

[ { "created": "Sun, 18 Oct 2015 13:13:53 GMT", "version": "v1" } ]

2016-05-12

[ [ "Zou", "Hao", "" ], [ "Yang", "Fu-Zhong", "" ] ]

In this paper, we extend the GKZ-system method to the more general case: compact Complete Intersection Calabi-Yau manifolds (CICY). For several one-deformation modulus compact CICYs with D-branes, the on-shell superpotentials in this paper from the extended GKZ-system method are exactly consistent with published results obtained from other methods. We further compute the off-shell superpotentials of these models. Then we obtain both the on-shell and off-shell superpotentials for sev- eral two-deformation moduli compact CICYs with D-branes by using the extended GKZ-system method. The discrete symmetrical groups, Z2, Z3 and Z4, of the holo- morphic curves wrapped by D-branes play the important roles in computing the superpotentials, in some sense, they are the quantum symmetries of these models. Furthermore, through the mirror symmetry, the Ooguri-Vafa invariants are extracted from the A-model instanton expansion.

8.482039

8.558696

10.301731

8.115476

8.152119

7.866849

8.0277

7.921666

8.572047

10.639622

8.031748

8.334596

8.917219

8.506551

8.455831

8.302134

8.393949

8.508702

8.241081

8.728003

8.165402

1011.3004

Paolo Creminelli

Paolo Creminelli, Guido D'Amico, Marcello Musso, Jorge Nore\~na and Enrico Trincherini

Galilean symmetry in the effective theory of inflation: new shapes of non-Gaussianity

23 pages, 6 figures. v2: minor changes to match JCAP published version

JCAP 1102:006,2011

10.1088/1475-7516/2011/02/006

null

hep-th astro-ph.CO gr-qc

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

We study the consequences of imposing an approximate Galilean symmetry on the Effective Theory of Inflation, the theory of small perturbations around the inflationary background. This approach allows us to study the effect of operators with two derivatives on each field, which can be the leading interactions due to non-renormalization properties of the Galilean Lagrangian. In this case cubic non-Gaussianities are given by three independent operators, containing up to six derivatives, two with a shape close to equilateral and one peaking on flattened isosceles triangles. The four-point function is larger than in models with small speed of sound and potentially observable with the Planck satellite.

[ { "created": "Fri, 12 Nov 2010 18:47:34 GMT", "version": "v1" }, { "created": "Thu, 27 Jan 2011 18:48:32 GMT", "version": "v2" } ]

2015-03-17

[ [ "Creminelli", "Paolo", "" ], [ "D'Amico", "Guido", "" ], [ "Musso", "Marcello", "" ], [ "Noreña", "Jorge", "" ], [ "Trincherini", "Enrico", "" ] ]

We study the consequences of imposing an approximate Galilean symmetry on the Effective Theory of Inflation, the theory of small perturbations around the inflationary background. This approach allows us to study the effect of operators with two derivatives on each field, which can be the leading interactions due to non-renormalization properties of the Galilean Lagrangian. In this case cubic non-Gaussianities are given by three independent operators, containing up to six derivatives, two with a shape close to equilateral and one peaking on flattened isosceles triangles. The four-point function is larger than in models with small speed of sound and potentially observable with the Planck satellite.

9.879152

11.584364

10.748143

9.300394

10.491689

10.862954

10.421693

9.452805

9.094148

11.488585

9.311503

9.236687

9.848387

9.157853

9.818081

10.014068

9.638387

9.386344

9.004091

9.83016

9.549809

hep-th/9510060

Max welling

Max Welling (Institute of Theoretical Physics Utrecht)

Gravity in 2+1 dimensions as a Riemann-Hilbert problem

32 pages Latex, 4 figures (uuencoded)

Class.Quant.Grav. 13 (1996) 653-680

10.1088/0264-9381/13/4/007

THU95/24

hep-th gr-qc

null

In this paper we consider 2+1-dimensional gravity coupled to N point-particles. We introduce a gauge in which the $z$- and $\bar{z}$-components of the dreibein field become holomorphic and anti-holomorphic respectively. As a result we can restrict ourselves to the complex plane. Next we show that solving the dreibein-field: $e^a_z(z)$ is equivalent to solving the Riemann-Hilbert problem for the group $SO(2,1)$. We give the explicit solution for 2 particles in terms of hypergeometric functions. In the N-particle case we give a representation in terms of conformal field theory. The dreibeins are expressed as correlators of 2 free fermion fields and twistoperators at the position of the particles.

[ { "created": "Tue, 10 Oct 1995 21:30:45 GMT", "version": "v1" } ]

2009-10-28

[ [ "Welling", "Max", "", "Institute of Theoretical Physics Utrecht" ] ]

In this paper we consider 2+1-dimensional gravity coupled to N point-particles. We introduce a gauge in which the $z$- and $\bar{z}$-components of the dreibein field become holomorphic and anti-holomorphic respectively. As a result we can restrict ourselves to the complex plane. Next we show that solving the dreibein-field: $e^a_z(z)$ is equivalent to solving the Riemann-Hilbert problem for the group $SO(2,1)$. We give the explicit solution for 2 particles in terms of hypergeometric functions. In the N-particle case we give a representation in terms of conformal field theory. The dreibeins are expressed as correlators of 2 free fermion fields and twistoperators at the position of the particles.

6.719045

7.039627

7.073053

6.666291

7.273559

7.291113

7.770733

6.756912

6.891279

8.179959

7.016752

6.619827

6.776976

6.468392

6.526058

6.640932

6.572794

6.580024

6.625919

6.72192

6.381824

1107.3589

Cacciatori Sergio

Sergio L. Cacciatori, Andrea Cattaneo and Bert Van Geemen

A new CY elliptic fibration and tadpole cancellation

18 pages; added references and minor changes

JHEP 1110 (2011) 031

10.1007/JHEP10(2011)031

null

hep-th math-ph math.MP

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

Tadpole cancellation in Sen limits in F-theory was recently studied by Aluffi and Esole. We extend their results, generalizing the elliptic fibrations they used and obtaining a new case of universal tadpole cancellation, at least numerically. We could not find an actual Sen limit having the correct brane content, and we argue that such a limit may not exist. We also give a uniform description of the fibration used by Aluffi and Esole as well as a new, simple, fibration which has non-Kodaira type fibers.

[ { "created": "Mon, 18 Jul 2011 22:14:35 GMT", "version": "v1" }, { "created": "Tue, 8 Nov 2011 16:12:51 GMT", "version": "v2" } ]

2015-05-28

[ [ "Cacciatori", "Sergio L.", "" ], [ "Cattaneo", "Andrea", "" ], [ "Van Geemen", "Bert", "" ] ]

Tadpole cancellation in Sen limits in F-theory was recently studied by Aluffi and Esole. We extend their results, generalizing the elliptic fibrations they used and obtaining a new case of universal tadpole cancellation, at least numerically. We could not find an actual Sen limit having the correct brane content, and we argue that such a limit may not exist. We also give a uniform description of the fibration used by Aluffi and Esole as well as a new, simple, fibration which has non-Kodaira type fibers.

14.614089

12.585629

15.883079

11.692429

13.043221

12.184835

13.533478

13.492572

13.046241

17.301746

12.284051

12.282331

12.628024

11.8781

12.031883

11.983201

12.055064

11.8716

11.830501

12.409079

11.684093

1709.02936

Marine Samsonyan

Sergio Ferrara, Marine Samsonyan

Highlights in Supergravity: CCJ 47 Years Later

Contribution to the Proceedings of the Erice International School of Subnuclear Physics, 2017

null

CERN-TH-2017-189

hep-th

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

We consider an expression for the supercurrent in the superconformal formulation of N=1 supergravity. A chiral compensator provides the supersymmetric formulation of the Callan-Coleman-Jackiw (CCJ) improved stress energy tensor, when the conformal gauge is used. Superconformal and non-superconformal matter give different conservation laws of the supercurrent, when coupled to the curvature supermultiplets which underlie the local superspace geometry. This approach can be applied to any set of auxiliary fields and it is useful to classify rigid curved superspace geometries. Examples with four supersymmetries are briefly described.

[ { "created": "Sat, 9 Sep 2017 09:53:44 GMT", "version": "v1" } ]

2017-09-12

[ [ "Ferrara", "Sergio", "" ], [ "Samsonyan", "Marine", "" ] ]

We consider an expression for the supercurrent in the superconformal formulation of N=1 supergravity. A chiral compensator provides the supersymmetric formulation of the Callan-Coleman-Jackiw (CCJ) improved stress energy tensor, when the conformal gauge is used. Superconformal and non-superconformal matter give different conservation laws of the supercurrent, when coupled to the curvature supermultiplets which underlie the local superspace geometry. This approach can be applied to any set of auxiliary fields and it is useful to classify rigid curved superspace geometries. Examples with four supersymmetries are briefly described.

12.430227

12.991916

14.210576

12.334311

12.642316

12.699178

12.167679

12.635258

12.196222

16.065212

11.621848

11.877939

12.692337

12.402748

11.936432

12.020956

12.319735

11.75261

11.834356

12.411925

11.785735

hep-th/0605259

Rudnei O. Ramos

Rudnei O Ramos and Marcus B Pinto

Symmetry Aspects in Nonrelativistic Multi-Scalar Field Models and Application to a Coupled Two-Species Dilute Bose Gas

8 pages, 1 eps figure, IOP style. Based on a talk given by R. O. Ramos at the QFEXT05 workshop, Barcelona, Spain, September 5-9, 2005. One reference was updated

J.Phys.A39:6687-6693,2006

10.1088/0305-4470/39/21/S69

null

hep-th cond-mat.soft hep-ph

null

We discuss unusual aspects of symmetry that can happen due to entropic effects in the context of multi-scalar field theories at finite temperature. We present their consequences, in special, for the case of nonrelativistic models of hard core spheres. We show that for nonrelativistic models phenomena like inverse symmetry breaking and symmetry non-restoration cannot take place, but a reentrant phase at high temperatures is shown to be possible for some region of parameters. We then develop a model of interest in studies of Bose-Einstein condensation in dilute atomic gases and discuss about its phase transition patterns. In this application to a Bose-Einstein condensation model, however, no reentrant phases are found.

[ { "created": "Thu, 25 May 2006 22:51:59 GMT", "version": "v1" }, { "created": "Tue, 6 Jun 2006 14:47:05 GMT", "version": "v2" } ]

2009-11-11

[ [ "Ramos", "Rudnei O", "" ], [ "Pinto", "Marcus B", "" ] ]

We discuss unusual aspects of symmetry that can happen due to entropic effects in the context of multi-scalar field theories at finite temperature. We present their consequences, in special, for the case of nonrelativistic models of hard core spheres. We show that for nonrelativistic models phenomena like inverse symmetry breaking and symmetry non-restoration cannot take place, but a reentrant phase at high temperatures is shown to be possible for some region of parameters. We then develop a model of interest in studies of Bose-Einstein condensation in dilute atomic gases and discuss about its phase transition patterns. In this application to a Bose-Einstein condensation model, however, no reentrant phases are found.

14.6988

14.836367

14.392937

13.553243

15.443227

16.644382

15.123239

14.648021

14.292777

16.351847

14.57091

14.670025

14.476862

14.047771

14.872915

14.768605

14.460462

14.540621

14.226879

14.517824

14.387433

hep-th/9711074

Tomas Ortin Miguel

Cesar Gomez, (I.F.T.-C.S.I.C.)

Elliptic Singularities, \theta-Puzzle and Domain Walls

Latex file, 25 pages, 4 encapsulated postscript figures, 1 reference added

Nucl.Phys. B523 (1998) 344-362

10.1016/S0550-3213(98)00099-6

IFT-UAM/CSIC-97-3

hep-th

null

We study N=1 four dimensional gluodynamics in the context of M-theory compactifications on elliptically fibered Calabi-Yau fourfolds. Gaugino condensates, \theta-dependence, Witten index and domain walls are considered for singularities of type $\hat{A}_{n-1}$ and $\hat{D}_{n+4}$. It is shown how the topology of intersections among the irreducible components defining the singular elliptic fiber, determine the entanglement of vacua and the appareance of domain walls.

[ { "created": "Tue, 11 Nov 1997 15:40:48 GMT", "version": "v1" }, { "created": "Fri, 14 Nov 1997 15:43:32 GMT", "version": "v2" } ]

2009-10-30

[ [ "Gomez", "Cesar", "" ] ]

We study N=1 four dimensional gluodynamics in the context of M-theory compactifications on elliptically fibered Calabi-Yau fourfolds. Gaugino condensates, \theta-dependence, Witten index and domain walls are considered for singularities of type $\hat{A}_{n-1}$ and $\hat{D}_{n+4}$. It is shown how the topology of intersections among the irreducible components defining the singular elliptic fiber, determine the entanglement of vacua and the appareance of domain walls.

8.607402

9.101744

8.470677

8.10768

9.029114

9.88718

8.864646

8.850157

8.292658

9.749137

8.104387

7.54241

8.552766

8.020406

7.954248

7.82553

7.89314

7.658911

8.052771

8.400277

7.773574

hep-th/0311065

Valentin V. Khoze

From Branes to Branes

30 pages, 12 figures, references added

Nucl.Phys. B682 (2004) 217

10.1016/j.nuclphysb.2004.01.030

CERN-TH/2003-273

hep-th

null

We use the `branes within branes' approach to study the appearance of stable $ (p-2)-branes and unstable (p-1)-branes in type II string theory from p-brane--p-antibrane pairs.Our goal is to describe the emergence of these lower dimensional branes from brane-antibrane pairs in string theory using a tractable gauge theory language. This is achieved by suspending the original p-brane--p-antibrane pair between two (p+2)-branes, and describing its dynamics in terms of the worldvolume gauge theory on the spectator (p+2)-branes. Instantons, monopoles, sphalerons and their higher-dimensional generalizations in this worldvolume gauge theory correspond to stable (BPS) and unstable (non-BPS) branes in string theory. Collisions of stable branes with corresponding antibranes and production of lower-dimensional branes in string theory are described in a straightforward way in gauge theory. Tachyonic modes on the p-brane--p-antibrane worldvolume do not appear in our analysis since we work on the worldvolume of the spectator (p+2)-branes. Our results on brane descent relations are in agreement with Sen's tachyon condensation approach.

[ { "created": "Fri, 7 Nov 2003 16:15:57 GMT", "version": "v1" }, { "created": "Fri, 14 Nov 2003 15:55:11 GMT", "version": "v2" } ]

2010-04-05

[ [ "Khoze", "Valentin V.", "" ] ]

We use the `branes within branes' approach to study the appearance of stable $ (p-2)-branes and unstable (p-1)-branes in type II string theory from p-brane--p-antibrane pairs.Our goal is to describe the emergence of these lower dimensional branes from brane-antibrane pairs in string theory using a tractable gauge theory language. This is achieved by suspending the original p-brane--p-antibrane pair between two (p+2)-branes, and describing its dynamics in terms of the worldvolume gauge theory on the spectator (p+2)-branes. Instantons, monopoles, sphalerons and their higher-dimensional generalizations in this worldvolume gauge theory correspond to stable (BPS) and unstable (non-BPS) branes in string theory. Collisions of stable branes with corresponding antibranes and production of lower-dimensional branes in string theory are described in a straightforward way in gauge theory. Tachyonic modes on the p-brane--p-antibrane worldvolume do not appear in our analysis since we work on the worldvolume of the spectator (p+2)-branes. Our results on brane descent relations are in agreement with Sen's tachyon condensation approach.

6.948166

6.865741

7.531985

6.74055

6.830542

7.081982

7.109892

6.805146

6.65225

7.866241

6.875585

6.437698

6.964079

6.619274

6.695855

6.832577

6.557785

6.641717

6.870218

7.120436

6.677023

hep-th/0410167

Dmitri Antonov

Dmitri Antonov (Humboldt U., Berlin), Luigi Del Debbio (CERN), Dietmar Ebert (Humboldt U., Berlin)

k-string tensions in the 4-d SU(N)-inspired dual Abelian-Higgs-type theory

21 pages, no figures, uses JHEP3.cls

JHEP0412:022,2004

10.1088/1126-6708/2004/12/022

HU-EP-04/59, CERN-PH-TH/2004-164

hep-th

null

The k-string tensions are explored in the 4-d $[U(1)]^{N-1}$-invariant dual Abelian-Higgs-type theory. In the London limit of this theory, the Casimir scaling is found in the approximation when small-sized closed dual strings are disregarded. When these strings are treated in the dilute-plasma approximation, explicit corrections to the Casimir scaling are found. The leading correction due to the deviation from the London limit is also derived. Its N-ality dependence turns out to be the same as that of the first non-trivial correction produced by closed strings. It also turns out that this N-ality dependence coincides with that of the leading correction to the k-string tension, which emerges by way of the non-diluteness of the monopole plasma in the 3-d SU(N) Georgi-Glashow model. Finally, we prove that, in the latter model, Casimir scaling holds even at monopole densities close to the mean one, provided the string world sheet is flat.

[ { "created": "Thu, 14 Oct 2004 16:14:15 GMT", "version": "v1" } ]

2008-11-26

[ [ "Antonov", "Dmitri", "", "Humboldt U., Berlin" ], [ "Del Debbio", "Luigi", "", "CERN" ], [ "Ebert", "Dietmar", "", "Humboldt U., Berlin" ] ]

The k-string tensions are explored in the 4-d $[U(1)]^{N-1}$-invariant dual Abelian-Higgs-type theory. In the London limit of this theory, the Casimir scaling is found in the approximation when small-sized closed dual strings are disregarded. When these strings are treated in the dilute-plasma approximation, explicit corrections to the Casimir scaling are found. The leading correction due to the deviation from the London limit is also derived. Its N-ality dependence turns out to be the same as that of the first non-trivial correction produced by closed strings. It also turns out that this N-ality dependence coincides with that of the leading correction to the k-string tension, which emerges by way of the non-diluteness of the monopole plasma in the 3-d SU(N) Georgi-Glashow model. Finally, we prove that, in the latter model, Casimir scaling holds even at monopole densities close to the mean one, provided the string world sheet is flat.

9.579964

9.665741

9.716595

8.869209

10.488809

10.684364

9.690581

9.433593

8.913889

10.426865

9.538273

9.161126

9.754452

9.155262

9.573893

9.565475

9.235642

9.531389

8.986676

9.127219

9.453187

hep-th/0512248

Mario Trigiante

R. D'Auria, S. Ferrara, M. Trigiante

Spontaneously broken supergravity: Old and new facts

14 pages, LaTeX file, imprecise statement corrected

null

hep-th

null

We report on some recent investigations of the structure of the four dimensional gauged supergravity Lagrangian which emerges from flux and Scherk-Schwarz compactifications in higher dimensions. Special attention is given to the gauge structure of M-theory compactified on a seven torus with 4-form and geometrical (spin connection) fluxes turned on. A class of vacua, with flat space-time and described by ``no-scale'' supergravity models, is analyzed.

[ { "created": "Tue, 20 Dec 2005 09:25:12 GMT", "version": "v1" }, { "created": "Tue, 24 Jan 2006 17:05:36 GMT", "version": "v2" } ]

2007-05-23

[ [ "D'Auria", "R.", "" ], [ "Ferrara", "S.", "" ], [ "Trigiante", "M.", "" ] ]

We report on some recent investigations of the structure of the four dimensional gauged supergravity Lagrangian which emerges from flux and Scherk-Schwarz compactifications in higher dimensions. Special attention is given to the gauge structure of M-theory compactified on a seven torus with 4-form and geometrical (spin connection) fluxes turned on. A class of vacua, with flat space-time and described by ``no-scale'' supergravity models, is analyzed.

10.71889

8.500941

11.737797

8.336189

8.827055

8.455242

8.669097

9.37888

8.731512

10.431253

8.526995

8.780298

9.863824

9.26621

9.068935

9.383576

9.267686

9.240587

9.227242

9.996962

8.907737

1304.6903

Jan Ambjorn

J. Ambjorn and A. Sedrakyan

The XXZ Heisenberg model on random surfaces

15 pages

Nucl. Phys. B, 874 (2013) 877-888

10.1016/j.nuclphysb.2013.06.017

null

hep-th cond-mat.stat-mech

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

We consider integrable models, or in general any model defined by an $R$-matrix, on random surfaces, which are discretized using random Manhattan lattices. The set of random Manhattan lattices is defined as the set dual to the lattice random surfaces embedded on a regular d-dimensional lattice. They can also be associated with the random graphs of multiparticle scattering nodes. As an example we formulate a random matrix model where the partition function reproduces the annealed average of the XXZ Heisenberg model over all random Manhattan lattices. A technique is presented which reduces the random matrix integration in partition function to an integration over their eigenvalues.

[ { "created": "Thu, 25 Apr 2013 13:20:13 GMT", "version": "v1" } ]

2013-07-22

[ [ "Ambjorn", "J.", "" ], [ "Sedrakyan", "A.", "" ] ]

We consider integrable models, or in general any model defined by an $R$-matrix, on random surfaces, which are discretized using random Manhattan lattices. The set of random Manhattan lattices is defined as the set dual to the lattice random surfaces embedded on a regular d-dimensional lattice. They can also be associated with the random graphs of multiparticle scattering nodes. As an example we formulate a random matrix model where the partition function reproduces the annealed average of the XXZ Heisenberg model over all random Manhattan lattices. A technique is presented which reduces the random matrix integration in partition function to an integration over their eigenvalues.

14.553915

13.893729

16.713737

14.744864

12.530804

12.836035

13.10944

13.345811

12.906846

15.247482

13.354417

13.273568

15.329828

12.935879

13.590631

13.099807

13.25204

13.18513

13.168219

14.576059

13.651874

1705.03992

Patrick Haas

Topological Sources of Soliton Mass and Supersymmetry Breaking

29 pages, 2 figures

Class. Quantum Grav. 35 (2018) 115012

10.1088/1361-6382/aabd95

null

hep-th

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

We derive the Smarr formulae for two five-dimensional solutions of supergravity, which are asymptotically R^(1,3)xS^1; in particular, one has a magnetic bolt in its center, and one is a two-center solution. We show for both spacetimes that supersymmetry - and so the BPS-bound - is broken by the holonomy and how each topological feature of a space-like hypersurface enters Smarr's mass formula, with emphasis on the ones that give rise to the stated violation of the BPS-bound. In this light, we question if any violating extra-mass term in a spacetime with such asymptotics is only evident in the ADM mass while the Komar mass per se tries to preserve BPS. Finally, we derive the cohomological fluxes for each situation and examine in a more general fashion how the breaking of supersymmetry - and so the BPS-bound violation - is associated with their topologies. In the second (and more complicated) scenario, we especially focus on the compact cycle linking the centers, and the contribution of non-vanishing bulk terms in the mass formula to the breaking of supersymmetry.

[ { "created": "Thu, 11 May 2017 02:25:53 GMT", "version": "v1" } ]

2018-05-11

[ [ "Haas", "Patrick", "" ] ]

We derive the Smarr formulae for two five-dimensional solutions of supergravity, which are asymptotically R^(1,3)xS^1; in particular, one has a magnetic bolt in its center, and one is a two-center solution. We show for both spacetimes that supersymmetry - and so the BPS-bound - is broken by the holonomy and how each topological feature of a space-like hypersurface enters Smarr's mass formula, with emphasis on the ones that give rise to the stated violation of the BPS-bound. In this light, we question if any violating extra-mass term in a spacetime with such asymptotics is only evident in the ADM mass while the Komar mass per se tries to preserve BPS. Finally, we derive the cohomological fluxes for each situation and examine in a more general fashion how the breaking of supersymmetry - and so the BPS-bound violation - is associated with their topologies. In the second (and more complicated) scenario, we especially focus on the compact cycle linking the centers, and the contribution of non-vanishing bulk terms in the mass formula to the breaking of supersymmetry.

15.885993

14.997548

17.029943

16.098873

16.988052

15.714766

15.436172

16.520041

15.079497

16.53734

15.431838

15.586191

15.69158

15.403373

15.976964

15.502153

15.971049

15.53272

15.317575

15.705379

15.158857

1910.00010

Anwesha Chakraborty Ms

Anwesha Chakraborty and Biswajit Chakraborty

Spectral Distance on Lorentzian Moyal Plane

null

Int. J. Geom. Meth. Mod. Phys. 17 (2020) 06, 2050089

10.1142/S0219887820500899

null

hep-th

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

We present here a completely operatorial approach, using Hilbert-Schmidt operators, to compute spectral distances between time-like separated "events ", associated with the pure states of the algebra describing the Lorentzian Moyal plane, using the axiomatic framework given by [13, 14]. The result shows no deformations of non-commutative origin, as in the Euclidean case.

[ { "created": "Mon, 30 Sep 2019 14:10:50 GMT", "version": "v1" } ]

2021-10-12

[ [ "Chakraborty", "Anwesha", "" ], [ "Chakraborty", "Biswajit", "" ] ]

We present here a completely operatorial approach, using Hilbert-Schmidt operators, to compute spectral distances between time-like separated "events ", associated with the pure states of the algebra describing the Lorentzian Moyal plane, using the axiomatic framework given by [13, 14]. The result shows no deformations of non-commutative origin, as in the Euclidean case.

22.637421

22.605692

23.40741

19.771887

19.996239

21.233818

20.196459

19.575554

18.907187

22.419615

20.584414

21.331745

20.672762

20.369493

21.094507

21.313263

19.853575

20.266163

20.366793

19.920242

19.986969

hep-th/9906142

Dmitri Sorokin

Superbranes and Superembeddings

LaTeX file, 117 pages. Misprints corrected, special thanks to Francesco Bettella; a reference corrected

Phys.Rept.329:1-101,2000

10.1016/S0370-1573(99)00104-0

HUB-EP-99/26, DFPD 99/TH/25

hep-th

null

We review the geometrical approach to the description of the dynamics of super-p-branes, Dirichlet branes and the M5-brane, which is based on a generalization of the elements of surface theory to the description of the embedding of supersurfaces into target superspaces. Being manifestly supersymmetric in both, the superworldvolume of the brane and the target superspace, this approach unifies the Neveu-Schwarz-Ramond and the Green-Schwarz formulation and provides the fermionic kappa-symmetry of the Green-Schwarz-type superbrane actions with a clear geometrical meaning of standard worldvolume local supersymmetry. We describe the properties of doubly supersymmetric (superembedding) brane actions and show how they are related to the standard Green-Schwarz formulation. In the second part of the article basic geometrical grounds of the (super)embedding approach are considered and applied to the description of the M2-brane and the M5-brane. Various applications of the superembedding approach are reviewed.

[ { "created": "Fri, 18 Jun 1999 13:47:47 GMT", "version": "v1" }, { "created": "Sun, 20 Jun 1999 18:31:24 GMT", "version": "v2" }, { "created": "Sun, 4 Jul 1999 17:14:44 GMT", "version": "v3" }, { "created": "Mon, 22 Nov 1999 14:12:08 GMT", "version": "v4" }, { "created": "Fri, 3 Nov 2000 16:54:45 GMT", "version": "v5" }, { "created": "Mon, 29 Jul 2002 13:32:11 GMT", "version": "v6" } ]

2008-11-26

[ [ "Sorokin", "Dmitri", "" ] ]

We review the geometrical approach to the description of the dynamics of super-p-branes, Dirichlet branes and the M5-brane, which is based on a generalization of the elements of surface theory to the description of the embedding of supersurfaces into target superspaces. Being manifestly supersymmetric in both, the superworldvolume of the brane and the target superspace, this approach unifies the Neveu-Schwarz-Ramond and the Green-Schwarz formulation and provides the fermionic kappa-symmetry of the Green-Schwarz-type superbrane actions with a clear geometrical meaning of standard worldvolume local supersymmetry. We describe the properties of doubly supersymmetric (superembedding) brane actions and show how they are related to the standard Green-Schwarz formulation. In the second part of the article basic geometrical grounds of the (super)embedding approach are considered and applied to the description of the M2-brane and the M5-brane. Various applications of the superembedding approach are reviewed.

6.967579

6.597352

7.95286

6.346467

6.543688

6.26284

6.152017

6.421219

6.249836

8.309345

6.308455

6.2867

7.008606

6.397248

6.199659

6.207142

6.142599

6.357979

6.300173

7.071598

6.145627

hep-th/9507169

Erich Poppitz

Erich Poppitz and Sandip Trivedi

Some Examples of Chiral Moduli Spaces and Dynamical Supersymmetry Breaking

Added discussion of the singularities of the Kahler potential at infinity and their relevance for runaway directions. Main results unchanged

Phys.Lett. B365 (1996) 125-131

10.1016/0370-2693(95)01260-5

EFI-95-45; Fermilab-Pub-95/2558-T

hep-th hep-ph

null

We investigate the low-energy dynamics of $SU(N)$ gauge theories with one antisymmetric tensor field, $N - 4 + N_f$ antifundamentals and $N_f$ fundamentals, for $N_f \le 3$. For $N_f = 3$ we construct the quantum moduli space, and for $N_f < 3$ we find the exact quantum superpotentials. We find two large classes of models with dynamical supersymmetry breaking. The odd $N$ theories break supersymmetry once appropriate mass terms are added in the superpotential. The even $N$ theories break supersymmetry after gauging an extra chiral $U(1)$ symmetry.

[ { "created": "Mon, 31 Jul 1995 01:18:00 GMT", "version": "v1" }, { "created": "Wed, 6 Sep 1995 00:50:09 GMT", "version": "v2" } ]

2016-09-06

[ [ "Poppitz", "Erich", "" ], [ "Trivedi", "Sandip", "" ] ]

We investigate the low-energy dynamics of $SU(N)$ gauge theories with one antisymmetric tensor field, $N - 4 + N_f$ antifundamentals and $N_f$ fundamentals, for $N_f \le 3$. For $N_f = 3$ we construct the quantum moduli space, and for $N_f < 3$ we find the exact quantum superpotentials. We find two large classes of models with dynamical supersymmetry breaking. The odd $N$ theories break supersymmetry once appropriate mass terms are added in the superpotential. The even $N$ theories break supersymmetry after gauging an extra chiral $U(1)$ symmetry.

5.812948

5.035692

5.585643

4.808643

5.293216

5.206585

5.105696

5.137456

5.094257

6.075675

5.283528

5.17742

5.539083

5.309726

5.372739

5.233438

5.442863

5.406309

5.392238

5.906494

5.538275

1911.03126

David Stefanyszyn

Scott Melville, Diederik Roest and David Stefanyszyn

UV Constraints on Massive Spinning Particles: Lessons from the Gravitino

null

10.1007/JHEP02(2020)185

null

hep-th gr-qc hep-ph

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

Self-interacting massive particles with spin $\geq 1$ unavoidably violate unitarity; the question is at what scale. For spin-$1$ the strong coupling scale (at which perturbative unitarity is lost) cannot be raised by any finite tuning of the interactions, while for spin-$2$ there exists a special tuning of the Wilson coefficients which can raise this scale (and enjoys numerous special properties such as ghost-freedom). Here, we fill in the missing piece by describing how the self-interactions of a massive spin-$3/2$ field, or "massive gravitino", become strongly coupled at high energies. We show that while several different structures appear in the leading order potential, the strong coupling scale cannot be raised (in the absence of additional fields). At the level of the off-shell Lagrangian, it is always the non-linear symmetries of the longitudinal Stuckelberg mode that dictate the strong coupling, and we show that in general it is only possible to parametrically raise the strong coupling scale if Wess-Zumino structures exist. We complement this off-shell approach with a first analysis of positivity bounds for a massive spin-$3/2$ particle, showing that any potential self-interaction which contributes to an on-shell 2-to-2 elastic process at tree level must vanish if this low-energy theory is to have a standard UV completion. We identify the mixing between the longitudinal mode and the transverse modes as the main obstacle to positivity, and clarify how the non-Abelian nature of non-linear (dRGT) massive gravity allows it to satisfy positivity where all known spin $\geq 3/2$ Abelian theories fail. Our results imply that a massive gravitino cannot appear alone in a controlled EFT---it must be accompanied by other particles, e.g.~as part of a supermultiplet. Together with the spin-$1$ and spin-$2$ cases, we suggest features which will persist in even higher spin massive theories.

[ { "created": "Fri, 8 Nov 2019 08:43:24 GMT", "version": "v1" } ]

2020-03-18

[ [ "Melville", "Scott", "" ], [ "Roest", "Diederik", "" ], [ "Stefanyszyn", "David", "" ] ]

Self-interacting massive particles with spin $\geq 1$ unavoidably violate unitarity; the question is at what scale. For spin-$1$ the strong coupling scale (at which perturbative unitarity is lost) cannot be raised by any finite tuning of the interactions, while for spin-$2$ there exists a special tuning of the Wilson coefficients which can raise this scale (and enjoys numerous special properties such as ghost-freedom). Here, we fill in the missing piece by describing how the self-interactions of a massive spin-$3/2$ field, or "massive gravitino", become strongly coupled at high energies. We show that while several different structures appear in the leading order potential, the strong coupling scale cannot be raised (in the absence of additional fields). At the level of the off-shell Lagrangian, it is always the non-linear symmetries of the longitudinal Stuckelberg mode that dictate the strong coupling, and we show that in general it is only possible to parametrically raise the strong coupling scale if Wess-Zumino structures exist. We complement this off-shell approach with a first analysis of positivity bounds for a massive spin-$3/2$ particle, showing that any potential self-interaction which contributes to an on-shell 2-to-2 elastic process at tree level must vanish if this low-energy theory is to have a standard UV completion. We identify the mixing between the longitudinal mode and the transverse modes as the main obstacle to positivity, and clarify how the non-Abelian nature of non-linear (dRGT) massive gravity allows it to satisfy positivity where all known spin $\geq 3/2$ Abelian theories fail. Our results imply that a massive gravitino cannot appear alone in a controlled EFT---it must be accompanied by other particles, e.g.~as part of a supermultiplet. Together with the spin-$1$ and spin-$2$ cases, we suggest features which will persist in even higher spin massive theories.

9.13299

10.293398

9.820844

9.140976

10.014777

10.235287

9.758588

9.329774

9.311224

10.590072

9.152437

9.347824

9.371639

9.278433

9.24644

9.269384

9.30552

9.075089

9.367109

9.49844

9.054232

hep-th/0112084

Jarah Evslin

Jarah Evslin and Uday Varadarajan

K-Theory and S-Duality: Starting Over from Square 3

27 pages, 3 figures

JHEP 0303 (2003) 026

10.1088/1126-6708/2003/03/026

UCB-PTH-01/44

hep-th

null

Recently Maldacena, Moore, and Seiberg (MMS) have proposed a physical interpretation of the Atiyah-Hirzebruch spectral sequence, which roughly computes the K-homology groups that classify D-branes. We note that in IIB string theory, this approach can be generalized to include NS charged objects and conjecture an S-duality covariant, nonlinear extension of the spectral sequence. We then compute the contribution of the MMS double-instanton configuration to the derivation d_5. We conclude with an M-theoretic generalization reminiscent of 11-dimensional E_8 gauge theory.

[ { "created": "Tue, 11 Dec 2001 10:24:19 GMT", "version": "v1" } ]

2009-11-07

[ [ "Evslin", "Jarah", "" ], [ "Varadarajan", "Uday", "" ] ]

Recently Maldacena, Moore, and Seiberg (MMS) have proposed a physical interpretation of the Atiyah-Hirzebruch spectral sequence, which roughly computes the K-homology groups that classify D-branes. We note that in IIB string theory, this approach can be generalized to include NS charged objects and conjecture an S-duality covariant, nonlinear extension of the spectral sequence. We then compute the contribution of the MMS double-instanton configuration to the derivation d_5. We conclude with an M-theoretic generalization reminiscent of 11-dimensional E_8 gauge theory.

13.261993

12.379994

14.788182

11.455549

12.282279

12.264894

11.979407

12.168088

10.810272

17.469454

11.648363

11.158075

12.606669

11.166706

11.04202

11.576509

11.002429

10.695352

11.062902

12.692856

11.316756

hep-th/9905125

Stefano De Leo

S. De Leo and G. Ducati (IMECC-Unicamp)

Quaternionic Groups in Physics: A Panoramic Review

20 pages, AMS. To appear in Int. J. Theor. Phys

Int.J.Theor.Phys. 38 (1999) 2197-2220

null

IMECC RP93/98

hep-th

null

Due to the non-commutative nature of quaternions we introduce the concept of left and right action for quaternionic numbers. This gives the opportunity to manipulate appropriately the $H$-field. The standard problems arising in the definitions of transpose, determinant and trace for quaternionic matrices are overcome. We investigate the possibility to formulate a new approach to Quaternionic Group Theory. Our aim is to highlight the possibility of looking at new quaternionic groups by the use of left and right operators as fundamental step toward a clear and complete discussion of Unification Theories in Physics.

[ { "created": "Mon, 17 May 1999 22:29:55 GMT", "version": "v1" } ]

2007-05-23

[ [ "De Leo", "S.", "", "IMECC-Unicamp" ], [ "Ducati", "G.", "", "IMECC-Unicamp" ] ]

Due to the non-commutative nature of quaternions we introduce the concept of left and right action for quaternionic numbers. This gives the opportunity to manipulate appropriately the $H$-field. The standard problems arising in the definitions of transpose, determinant and trace for quaternionic matrices are overcome. We investigate the possibility to formulate a new approach to Quaternionic Group Theory. Our aim is to highlight the possibility of looking at new quaternionic groups by the use of left and right operators as fundamental step toward a clear and complete discussion of Unification Theories in Physics.

19.80299

20.714645

21.673944

19.22957

20.386599

20.459307

20.290197

19.427399

20.814991

21.304493

18.428713

18.853085

18.399044

18.896738

18.33046

18.78599

18.797852

18.894545

18.422352

19.165789

18.22444

1510.01209

Hossein Yavartanoo

S. Sadeghian and H. Yavartanoo

Black Rings in U(1)^3 Supergravity and their dual 2d CFT

21 pages

Class.Quant.Grav. 33 (2016) no.9, 095006

10.1088/0264-9381/33/9/095006

null

hep-th

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

We study the near horizon geometry of black ring solutions in five-dimensional U(1)^3 supergravity with three electric dipole charges and one angular momentum. We consider the extremal vanishing horizon (EVH) limit of these solutions and show that the near horizon geometries develop locally AdS_3 throats which at the near-EVH near horizon limit the AdS_3 factor turns to a BTZ black hole. By analysing the first law of thermodynamics for black rings we show that at EVH limit it reduces to the first law of thermodynamics for BTZ black holes. Using the AdS3/CFT2 duality, we propose a dual CFT to describe the near-horizon low energy dynamics of near-EVH black rings. We also discuss the connection between our CFT proposal and the Kerr/CFT correspondence in the cases where these two overlap.

[ { "created": "Mon, 5 Oct 2015 16:22:57 GMT", "version": "v1" } ]

2016-05-12

[ [ "Sadeghian", "S.", "" ], [ "Yavartanoo", "H.", "" ] ]

We study the near horizon geometry of black ring solutions in five-dimensional U(1)^3 supergravity with three electric dipole charges and one angular momentum. We consider the extremal vanishing horizon (EVH) limit of these solutions and show that the near horizon geometries develop locally AdS_3 throats which at the near-EVH near horizon limit the AdS_3 factor turns to a BTZ black hole. By analysing the first law of thermodynamics for black rings we show that at EVH limit it reduces to the first law of thermodynamics for BTZ black holes. Using the AdS3/CFT2 duality, we propose a dual CFT to describe the near-horizon low energy dynamics of near-EVH black rings. We also discuss the connection between our CFT proposal and the Kerr/CFT correspondence in the cases where these two overlap.

6.095271

5.842121

7.455814

5.803177

5.686811

5.655018

5.778125

5.555433

5.752528

7.089198

5.735898

5.963821

6.628093

5.785104

5.981337

5.908323

5.853784

5.794288

6.006208

6.80487

5.830844

hep-th/0504134

Paul R. Anderson

Paul R. Anderson, Carmen Molina-Paris, and Emil Mottola

Short distance and initial state effects in inflation: stress tensor and decoherence

83 pages, 2 figures, minor changes in content and style

Phys.Rev. D72 (2005) 043515

10.1103/PhysRevD.72.043515

LA-UR-04-6142

hep-th gr-qc

null

We present a consistent low energy effective field theory framework for parameterizing the effects of novel short distance physics in inflation, and their possible observational signatures in the Cosmic Microwave Background. We consider the class of general homogeneous, isotropic initial states for quantum scalar fields in Robertson-Walker (RW) spacetimes, subject to the requirement that their ultraviolet behavior be consistent with renormalizability of the covariantly conserved stress tensor which couples to gravity. In the functional Schr\"odinger picture such states are coherent, squeezed, mixed states characterized by a Gaussian density matrix. This Gaussian has parameters which approach those of the adiabatic vacuum at large wave number, and evolve in time according to an effective classical Hamiltonian. The one complex parameter family of $\alpha$ squeezed states in de Sitter spacetime does not fall into this UV allowed class, except for the special value of the parameter corresponding to the Bunch-Davies state. We determine the finite contributions to the inflationary power spectrum and stress tensor expectation value of general UV allowed adiabatic states, and obtain quantitative limits on the observability and backreaction effects of some recently proposed models of short distance modifications of the initial state of inflation. For all UV allowed states, the second order adiabatic basis provides a good description of particles created in the expanding RW universe. Due to the absence of particle creation for the massless, minimally coupled scalar field in de Sitter space, there is no phase decoherence in the simplest free field inflationary models. We apply adiabatic regularization to the renormalization of the decoherence functional in cosmology to corroborate this result.

[ { "created": "Fri, 15 Apr 2005 16:00:58 GMT", "version": "v1" }, { "created": "Mon, 18 Apr 2005 13:28:43 GMT", "version": "v2" }, { "created": "Mon, 13 Jun 2005 18:33:08 GMT", "version": "v3" } ]

2009-11-11

[ [ "Anderson", "Paul R.", "" ], [ "Molina-Paris", "Carmen", "" ], [ "Mottola", "Emil", "" ] ]

We present a consistent low energy effective field theory framework for parameterizing the effects of novel short distance physics in inflation, and their possible observational signatures in the Cosmic Microwave Background. We consider the class of general homogeneous, isotropic initial states for quantum scalar fields in Robertson-Walker (RW) spacetimes, subject to the requirement that their ultraviolet behavior be consistent with renormalizability of the covariantly conserved stress tensor which couples to gravity. In the functional Schr\"odinger picture such states are coherent, squeezed, mixed states characterized by a Gaussian density matrix. This Gaussian has parameters which approach those of the adiabatic vacuum at large wave number, and evolve in time according to an effective classical Hamiltonian. The one complex parameter family of $\alpha$ squeezed states in de Sitter spacetime does not fall into this UV allowed class, except for the special value of the parameter corresponding to the Bunch-Davies state. We determine the finite contributions to the inflationary power spectrum and stress tensor expectation value of general UV allowed adiabatic states, and obtain quantitative limits on the observability and backreaction effects of some recently proposed models of short distance modifications of the initial state of inflation. For all UV allowed states, the second order adiabatic basis provides a good description of particles created in the expanding RW universe. Due to the absence of particle creation for the massless, minimally coupled scalar field in de Sitter space, there is no phase decoherence in the simplest free field inflationary models. We apply adiabatic regularization to the renormalization of the decoherence functional in cosmology to corroborate this result.

10.557984

11.805367

10.811777

10.202069

11.294188

10.53246

11.421437

10.249636

10.564198

11.37471

10.570792

10.122893

10.199044

10.226043

10.532628

10.360999

10.417788

10.144728

10.64241

10.584572

10.156639

hep-th/9411084

Florian Nill

Florian Nill, Hans-Werner Wiesbrock

A Comment on Jones Inclusions with infinite Index

latex, 40 pages

Rev.Math.Phys. 7 (1995) 599-630

10.1142/S0129055X95000244

null

hep-th funct-an math.FA math.QA q-alg

null

Given an irreducible inclusion of infinite von-Neumann-algebras $\cn \subset \cm$ together with a conditional expectation $ E : \cm \rightarrow \cm $ such that the inclusion has depth 2, we show quite explicitely how $\cn $ can be viewed as the fixed point algebra of $\cm$ w.r.t. an outer action of a compact Kac-algebra acting on $\cm$. This gives an alternative proof, under this special setting of a more general result of M. Enock and R. Nest, [E-N], see also S. Yamagami, [Ya2].

[ { "created": "Fri, 11 Nov 1994 16:52:24 GMT", "version": "v1" } ]

2009-10-28

[ [ "Nill", "Florian", "" ], [ "Wiesbrock", "Hans-Werner", "" ] ]

Given an irreducible inclusion of infinite von-Neumann-algebras $\cn \subset \cm$ together with a conditional expectation $ E : \cm \rightarrow \cm $ such that the inclusion has depth 2, we show quite explicitely how $\cn $ can be viewed as the fixed point algebra of $\cm$ w.r.t. an outer action of a compact Kac-algebra acting on $\cm$. This gives an alternative proof, under this special setting of a more general result of M. Enock and R. Nest, [E-N], see also S. Yamagami, [Ya2].

8.689641

12.181344

11.55621

9.868899

11.709144

11.107538

11.438592

11.455432

10.260981

12.955428

10.15606

8.557088

9.464411

8.614968

9.031736

8.510622

9.074653

8.379044

8.54833

9.575022

8.819128

hep-th/0011255

Tom Banks

T.Banks

On Isolated Vacua and Background Independence

JHEP LaTeX, 13 pages. Various comments added in response to correspondents' questions. In particular, generality of the result beyond the context of N=1 SUSY is given more emphasis

null

RUNHETC-2000-51, SCIPP-00/41

hep-th

null

I argue that isolated vacua of M-theory, cannot in any conventional way be said to live in the same theory as other disconnected parts of the moduli space. The usual field theoretic mechanisms, which allow an observer in one disconnected component of a moduli space to verify the existence of other components, fail. The failure is a consequence of robust properties of black holes. When barriers between components are much smaller than the Planck scale, the usual field theoretic picture is approximately valid.

[ { "created": "Tue, 28 Nov 2000 19:07:28 GMT", "version": "v1" }, { "created": "Thu, 14 Dec 2000 16:38:50 GMT", "version": "v2" } ]

2007-05-23

[ [ "Banks", "T.", "" ] ]

I argue that isolated vacua of M-theory, cannot in any conventional way be said to live in the same theory as other disconnected parts of the moduli space. The usual field theoretic mechanisms, which allow an observer in one disconnected component of a moduli space to verify the existence of other components, fail. The failure is a consequence of robust properties of black holes. When barriers between components are much smaller than the Planck scale, the usual field theoretic picture is approximately valid.

13.241201

12.418079

13.30523

11.569222

10.893977

10.338202

11.902591

12.388338

12.262494

12.263801

11.125431

11.381634

12.528949

11.897711

12.116685

12.03716

11.831093

11.883471

12.029316

12.010067

11.919886

1007.2356

Jan Plefka

Andre Grossardt, Jan Plefka

One-Loop Spectroscopy of Scalar Three-Point Functions in planar N=4 super Yang-Mills Theory

22 pages. The paper does not reflect the possible effects due to fermion and derivative mixings for the operators starting with length 4. These corrections are presently being worked out

null

HU-EP-10/38

hep-th

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

We report on a systematic study of scalar field three-point functions in planar SU(N) N=4 super Yang-Mills theory. The motivation for this work is to provide sufficient data for future conjectures on the higher-loop form of the structure constants possibly involving integrability. For this we have computed a sample of 70 structure constants at one-loop order involving primary operators of up to and including length five built entirely from scalar fields. We observe in all 17 cases occurring in our sample that the one-loop structure constant of two protected chiral primary operators and one unprotected operator is given by a simple linear function involving the anomalous scaling dimension of the latter. Moreover, a similar simple one-loop formula is proven for the three-point structure constants of the Konishi operator and two arbitrary protected or un-protected operators. It is again determined by the anomalous scaling dimensions of the operators involved.

[ { "created": "Wed, 14 Jul 2010 15:29:54 GMT", "version": "v1" }, { "created": "Thu, 15 Jul 2010 12:39:26 GMT", "version": "v2" }, { "created": "Wed, 15 Sep 2010 07:25:31 GMT", "version": "v3" }, { "created": "Thu, 20 Jan 2011 09:08:18 GMT", "version": "v4" } ]

2011-01-21

[ [ "Grossardt", "Andre", "" ], [ "Plefka", "Jan", "" ] ]

We report on a systematic study of scalar field three-point functions in planar SU(N) N=4 super Yang-Mills theory. The motivation for this work is to provide sufficient data for future conjectures on the higher-loop form of the structure constants possibly involving integrability. For this we have computed a sample of 70 structure constants at one-loop order involving primary operators of up to and including length five built entirely from scalar fields. We observe in all 17 cases occurring in our sample that the one-loop structure constant of two protected chiral primary operators and one unprotected operator is given by a simple linear function involving the anomalous scaling dimension of the latter. Moreover, a similar simple one-loop formula is proven for the three-point structure constants of the Konishi operator and two arbitrary protected or un-protected operators. It is again determined by the anomalous scaling dimensions of the operators involved.

9.594357

8.882193

10.971695

8.65614

9.490335

9.253559

9.66447

8.109297

8.948376

11.763227

8.793826

9.571993

10.111552

9.247867

9.582324

9.466333

9.400095

9.228196

9.473078

10.352879

9.441963

1811.05985

Arpan Bhattacharyya

Tibra Ali, Arpan Bhattacharyya, S. Shajidul Haque, Eugene H. Kim, Nathan Moynihan

Post-Quench Evolution of Complexity and Entanglement in a Topological System

24 pages, 6 figures, title and abstract slightly modified, updated version to appear in Physics Letters B

Phys. Lett. B, 811 (2020),135919

10.1016/j.physletb.2020.135919

YITP-18-116

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

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

We investigate the evolution of complexity and entanglement following a quench in a one-dimensional topological system, namely the Su-Schrieffer-Heeger model. We demonstrate that complexity can detect quantum phase transitions and shows signatures of revivals; this observation provides a practical advantage in information processing. We also show that the complexity saturates much faster than the entanglement entropy in this system, and we provide a physical argument for this. Finally, we demonstrate that complexity is a less sensitive probe of topological order, compared with measures of entanglement.

[ { "created": "Wed, 14 Nov 2018 19:00:09 GMT", "version": "v1" }, { "created": "Sat, 31 Oct 2020 10:36:52 GMT", "version": "v2" } ]

2020-11-13

[ [ "Ali", "Tibra", "" ], [ "Bhattacharyya", "Arpan", "" ], [ "Haque", "S. Shajidul", "" ], [ "Kim", "Eugene H.", "" ], [ "Moynihan", "Nathan", "" ] ]

We investigate the evolution of complexity and entanglement following a quench in a one-dimensional topological system, namely the Su-Schrieffer-Heeger model. We demonstrate that complexity can detect quantum phase transitions and shows signatures of revivals; this observation provides a practical advantage in information processing. We also show that the complexity saturates much faster than the entanglement entropy in this system, and we provide a physical argument for this. Finally, we demonstrate that complexity is a less sensitive probe of topological order, compared with measures of entanglement.

7.360187

7.56026

8.406067

7.288709

8.076102

7.710938

8.15054

7.557081

7.517549

8.888762

7.09515

7.471633

7.499271

7.37679

7.489142

7.326836

7.50415

7.200943

7.339501

7.218437

7.130587

hep-th/0412195

Alexander Burinskii

Rotating Black Hole, Twistor-String and Spinning Particle

19 p. 4 figures, extended version of hep-th/0412065, based on the talk given at the Conference `Symmetries and Spin'(SPIN-Praha-2004) July 2004

Czech.J.Phys. 55 (2005) A261

10.1007/BF03032012

null

hep-th gr-qc quant-ph

null

We discuss basic features of the model of spinning particle based on the Kerr solution. It contains a very nontrivial {\it real} stringy structure consisting of the Kerr circular string and an axial stringy system. We consider also the complex and twistorial structures of the Kerr geometry and show that there is a {\it complex} twistor-string built of the complex N=2 chiral string with a twistorial $(x,\theta)$ structure. By imbedding into the real Minkowski $\bf M^4$, the N=2 supersymmetry is partially broken and string acquires the open ends. Orientifolding this string, we identify the chiral and antichiral structures. Target space of this string is equivalent to the Witten's `diagonal' of the $\bf CP^3\times CP^{*3}.$

[ { "created": "Fri, 17 Dec 2004 11:08:02 GMT", "version": "v1" } ]

2009-11-10

[ [ "Burinskii", "Alexander", "" ] ]

We discuss basic features of the model of spinning particle based on the Kerr solution. It contains a very nontrivial {\it real} stringy structure consisting of the Kerr circular string and an axial stringy system. We consider also the complex and twistorial structures of the Kerr geometry and show that there is a {\it complex} twistor-string built of the complex N=2 chiral string with a twistorial $(x,\theta)$ structure. By imbedding into the real Minkowski $\bf M^4$, the N=2 supersymmetry is partially broken and string acquires the open ends. Orientifolding this string, we identify the chiral and antichiral structures. Target space of this string is equivalent to the Witten's `diagonal' of the $\bf CP^3\times CP^{*3}.$

17.782869

15.608347

18.597418

15.927541

16.271973

16.201689

16.171835

14.744154

15.48205

21.262772

15.630833

16.653416

18.101631

16.919123

17.635979

17.255072

17.32089

16.691486

16.80464

18.901228

16.391907

2105.09176

Lin Yi-Yu

Yi-Yu Lin, Jia-Rui Sun, Jun Zhang

Deriving the PEE proposal from the Locking bit thread configuration

35 pages, 7 figures, accepted by jhep

null

10.1007/JHEP10(2021)164

null

hep-th

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

In the holographic framework, we argue that the partial entanglement entropy (PEE) can be explicitly interpreted as the component flow flux in a locking bit thread configuration. By applying the locking theorem of bit threads, and constructing a concrete locking scheme, we obtain a set of uniquely determined component flow fluxes from this viewpoint, and successfully derive the PEE proposal and its generalized version in the multipartite cases. Moreover, from this perspective of bit threads, we also present a coherent explanation for the coincidence between the BPE (balanced partial entanglement)/EWCS (entanglement wedge cross section) duality proposed recently and the EoP (entanglement of purification)/EWCS duality. We also discuss the issues implied by this coincident between the idea of the PEE and the picture of locking thread configuration.

[ { "created": "Wed, 19 May 2021 14:46:40 GMT", "version": "v1" }, { "created": "Tue, 25 May 2021 15:53:55 GMT", "version": "v2" }, { "created": "Thu, 23 Sep 2021 02:58:18 GMT", "version": "v3" } ]

2021-11-10

[ [ "Lin", "Yi-Yu", "" ], [ "Sun", "Jia-Rui", "" ], [ "Zhang", "Jun", "" ] ]

In the holographic framework, we argue that the partial entanglement entropy (PEE) can be explicitly interpreted as the component flow flux in a locking bit thread configuration. By applying the locking theorem of bit threads, and constructing a concrete locking scheme, we obtain a set of uniquely determined component flow fluxes from this viewpoint, and successfully derive the PEE proposal and its generalized version in the multipartite cases. Moreover, from this perspective of bit threads, we also present a coherent explanation for the coincidence between the BPE (balanced partial entanglement)/EWCS (entanglement wedge cross section) duality proposed recently and the EoP (entanglement of purification)/EWCS duality. We also discuss the issues implied by this coincident between the idea of the PEE and the picture of locking thread configuration.

15.52921

14.683934

17.666681

13.961699

14.725152

14.126786

14.109169

14.855663

14.988415

17.793192

14.928041

15.226942

14.92825

14.579876

14.698238

14.404649

14.944955

14.596951

14.826529

14.844847

14.292869

1811.00799

Harald Dorn

On Wilson loops for two touching circles with opposite orientation

15 pages, 2 figures, version to appear in Journal of Physics A

null

10.1088/1751-8121/ab0003

HU-EP-18/33

hep-th hep-ph

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

We study the Wilson loops for contours formed by a consecutive passage of two touching circles with a common tangent, but opposite orientation. The calculations are performed in lowest nontrivial order for ${\cal N}=4$ SYM at weak and strong coupling and for QCD at weak coupling. After subtracting the standard linear divergence proportional to the length, as well the recently analysed spike divergence, we get for the renormalised Wilson loops $\mbox{log}~W_{\mbox{\scriptsize ren}}=0$. The result holds for circles with different radii and arbitrary angle between the discs spanned by them.

[ { "created": "Fri, 2 Nov 2018 09:56:01 GMT", "version": "v1" }, { "created": "Mon, 7 Jan 2019 10:38:28 GMT", "version": "v2" } ]

2019-02-20

[ [ "Dorn", "Harald", "" ] ]

We study the Wilson loops for contours formed by a consecutive passage of two touching circles with a common tangent, but opposite orientation. The calculations are performed in lowest nontrivial order for ${\cal N}=4$ SYM at weak and strong coupling and for QCD at weak coupling. After subtracting the standard linear divergence proportional to the length, as well the recently analysed spike divergence, we get for the renormalised Wilson loops $\mbox{log}~W_{\mbox{\scriptsize ren}}=0$. The result holds for circles with different radii and arbitrary angle between the discs spanned by them.

14.436742

14.692718

12.229872

12.250099

14.565506

13.036829

13.894213

12.487594

13.265049

15.556413

14.029552

13.089748

13.343173

13.033929

13.153845

13.482782

13.613342

13.562862

13.555996

13.938886

13.185315

hep-th/0309060

Yoshitaka Okumura

Yoshitaka Okumura, Katsusada Morita, Kouhei Imai

Lorentz invariant nonabelian gauge theory on noncommutative space-time and BRST symmetry

11 pages

null

hep-th

null

Lorentz covariance is the fundamental principle of every relativistic field theory which insures consistent physical descriptions. Even if the space-time is noncommutative, field theories on it should keep Lorentz covariance. In this paper, the nonabelian gauge theory on noncommutative spacetime is defined and its Lorentz invariance is maintained based on the idea of Carlson, Carone and Zobin. The deviation from the standard model in particle physics has not yet observed, and so any model beyond standard model must reduce to it in some approximation. Noncommutative gauge theory must also reproduce standard model in the limit of noncommutative parameter $\theta^{\mu\nu}\to0$. Referring to Jur$\check{\text{c}}$o {\it et. al.}, we will construct the nonabelian gauge theory that deserves to formulate standard model. BRST symmetry is very important to quantize nonabelian gauge theory and construct the covariant canonical formulation. It is discussed about the fields in noncommutative gauge theory without considering those components. Scale symmetry of ghost fields is also discussed.

[ { "created": "Fri, 5 Sep 2003 02:58:46 GMT", "version": "v1" }, { "created": "Fri, 12 Sep 2003 06:16:48 GMT", "version": "v2" }, { "created": "Wed, 1 Oct 2003 02:58:14 GMT", "version": "v3" } ]

2007-05-23

[ [ "Okumura", "Yoshitaka", "" ], [ "Morita", "Katsusada", "" ], [ "Imai", "Kouhei", "" ] ]

Lorentz covariance is the fundamental principle of every relativistic field theory which insures consistent physical descriptions. Even if the space-time is noncommutative, field theories on it should keep Lorentz covariance. In this paper, the nonabelian gauge theory on noncommutative spacetime is defined and its Lorentz invariance is maintained based on the idea of Carlson, Carone and Zobin. The deviation from the standard model in particle physics has not yet observed, and so any model beyond standard model must reduce to it in some approximation. Noncommutative gauge theory must also reproduce standard model in the limit of noncommutative parameter $\theta^{\mu\nu}\to0$. Referring to Jur$\check{\text{c}}$o {\it et. al.}, we will construct the nonabelian gauge theory that deserves to formulate standard model. BRST symmetry is very important to quantize nonabelian gauge theory and construct the covariant canonical formulation. It is discussed about the fields in noncommutative gauge theory without considering those components. Scale symmetry of ghost fields is also discussed.

9.813361

9.51774

10.51205

10.325607

10.182551

9.254293

10.620214

10.489177

10.50418

11.472368

9.639657

9.322699

10.045092

9.595309

9.63642

9.316586

9.431361

9.328241

9.424654

9.62

9.521973

2106.10803

Greg Kaplanek

G. Kaplanek, C.P. Burgess, R. Holman

Qubit Heating Near a Hotspot

16 pages + appendices, 1 figure v2) now published in JHEP, typos fixed

JHEP 08 (2021) 132

10.1007/JHEP08(2021)132

null

hep-th

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

Effective theories describing black hole exteriors contain many open-system features due to the large number of gapless degrees of freedom that lie beyond reach across the horizon. A simple solvable Caldeira-Leggett type model of a quantum field interacting within a small area with many unmeasured thermal degrees of freedom was recently proposed in arXiv:2106.09854 to provide a toy model of this kind of dynamics against which more complete black hole calculations might be compared. We here compute the response of a simple Unruh-DeWitt detector (or qubit) interacting with a massless quantum field $\phi$ coupled to such a hotspot. Our treatment differs from traditional treatments of Unruh-DeWitt detectors by using Open-EFT tools to reliably calculate the qubit's late-time behaviour. We use these tools to determine the efficiency with which the qubit thermalizes as a function of its proximity to the hotspot. We identify a Markovian regime in which thermalization does occur, though only for qubits closer to the hotspot than a characteristic distance scale set by the $\phi$-hotspot coupling. We compute the thermalization time, and find that it varies inversely with the $\phi$-qubit coupling strength in the standard way.

[ { "created": "Mon, 21 Jun 2021 01:48:27 GMT", "version": "v1" }, { "created": "Tue, 7 Sep 2021 02:12:45 GMT", "version": "v2" } ]

2021-09-08

[ [ "Kaplanek", "G.", "" ], [ "Burgess", "C. P.", "" ], [ "Holman", "R.", "" ] ]

Effective theories describing black hole exteriors contain many open-system features due to the large number of gapless degrees of freedom that lie beyond reach across the horizon. A simple solvable Caldeira-Leggett type model of a quantum field interacting within a small area with many unmeasured thermal degrees of freedom was recently proposed in arXiv:2106.09854 to provide a toy model of this kind of dynamics against which more complete black hole calculations might be compared. We here compute the response of a simple Unruh-DeWitt detector (or qubit) interacting with a massless quantum field $\phi$ coupled to such a hotspot. Our treatment differs from traditional treatments of Unruh-DeWitt detectors by using Open-EFT tools to reliably calculate the qubit's late-time behaviour. We use these tools to determine the efficiency with which the qubit thermalizes as a function of its proximity to the hotspot. We identify a Markovian regime in which thermalization does occur, though only for qubits closer to the hotspot than a characteristic distance scale set by the $\phi$-hotspot coupling. We compute the thermalization time, and find that it varies inversely with the $\phi$-qubit coupling strength in the standard way.

10.869978

11.556549

11.918076

10.345927

12.167649

10.898555

11.684185

10.844028

11.489764

12.993

10.954198

10.744613

10.770068

10.27938

10.872305

10.7778

10.933887

10.623891

10.884916

10.686435

10.694877

hep-th/9808098

Giovanni Amelino-Camelia

T-duality for boundary-non-critical point-particle and string quantum mechanics

10 pages, LaTex. (To appear in the proceedings of Quantum Aspects of Gauge Theories, Supersymmetry and Unification, Neuchatel, 18-23 September 1997.)

Fortsch.Phys.47:93-100,1999

10.1002/(SICI)1521-3978(199901)47:1/3<93::AID-PROP93>3.0.CO;2-1

NEIP-97-010

hep-th

null

It is observed that some structures recently uncovered in the study of Calogero-Sutherland models and anyons are close analogs of well-known structures of boundary conformal field theory. These examples of ``boundary conformal quantum mechanics'', in spite of their apparent simplicity, have a rather reach structure, including some sort of T-duality, and could provide useful frameworks for testing general properties of boundary conformal theories. Of particular interest are the duality properties of anyons and Calogero-Sutherland particles in presence of boundary-violations of conformal invariance; these are here briefly analyzed leading to the conjecture of a general interconnection between (deformed) boundary conformal quantum mechanics, T-type duality, and (``exchange'' or ``exclusion'') exotic statistics. These results on the point-particle quantum-mechanics side are compared with recent results on the action of T-duality on open strings that satisfy conformal-invariance-violating boundary conditions. Moreover, it is observed that some of the special properties of anyon and Calogero-Sutherland quantum mechanics are also enjoyed by the M(atrix) quantum mechanics which has recently attracted considerable attention.

[ { "created": "Mon, 17 Aug 1998 15:08:53 GMT", "version": "v1" } ]

2015-06-26

[ [ "Amelino-Camelia", "Giovanni", "" ] ]

It is observed that some structures recently uncovered in the study of Calogero-Sutherland models and anyons are close analogs of well-known structures of boundary conformal field theory. These examples of ``boundary conformal quantum mechanics'', in spite of their apparent simplicity, have a rather reach structure, including some sort of T-duality, and could provide useful frameworks for testing general properties of boundary conformal theories. Of particular interest are the duality properties of anyons and Calogero-Sutherland particles in presence of boundary-violations of conformal invariance; these are here briefly analyzed leading to the conjecture of a general interconnection between (deformed) boundary conformal quantum mechanics, T-type duality, and (``exchange'' or ``exclusion'') exotic statistics. These results on the point-particle quantum-mechanics side are compared with recent results on the action of T-duality on open strings that satisfy conformal-invariance-violating boundary conditions. Moreover, it is observed that some of the special properties of anyon and Calogero-Sutherland quantum mechanics are also enjoyed by the M(atrix) quantum mechanics which has recently attracted considerable attention.

11.736155

12.560694

11.905605

11.007695

11.959916

12.014575

12.265088

11.38306

11.471795

12.708917

11.401652

10.839327

11.417395

10.787427

10.640083

10.970868

10.827303

10.972362

10.931876

11.66984

11.058887

hep-th/0406034

Betti Hartmann

Yves Brihaye (Universite de Mons, Belgium), Fabien Clement (Universite de Mons, Belgium) and Betti Hartmann (IUB, Germany)

Static solutions of a 6-dimensional Einstein-Yang-Mills model

10 REVTEX pages, 3 eps-figures

Phys. Rev. D70 (2004), 084003

10.1103/PhysRevD.70.084003

IUB-Th-047

hep-th

null

We study the Einstein-Yang-Mills equations in a 6-dimensional space-time. We make a self-consistent static, spherically symmetric ansatz for the gauge fields and the metric. The metric of the manifold associated with the two extra dimensions contains off-diagonal terms. The classical equations are solved numerically and several branches of solutions are constructed. We also present an effective 4-dimensional action from which the equations can equally well be derived. This action is a standard Einstein-Yang-Mills-Higgs theory extended by three scalar fields. Two of the scalar fields are interpreted as dilatons, while the one associated with the off-diagonal term of the metric induces very specific interactions.

[ { "created": "Thu, 3 Jun 2004 12:38:45 GMT", "version": "v1" } ]

2009-11-10

[ [ "Brihaye", "Yves", "", "Universite de Mons, Belgium" ], [ "Clement", "Fabien", "", "Universite\n de Mons, Belgium" ], [ "Hartmann", "Betti", "", "IUB, Germany" ] ]

We study the Einstein-Yang-Mills equations in a 6-dimensional space-time. We make a self-consistent static, spherically symmetric ansatz for the gauge fields and the metric. The metric of the manifold associated with the two extra dimensions contains off-diagonal terms. The classical equations are solved numerically and several branches of solutions are constructed. We also present an effective 4-dimensional action from which the equations can equally well be derived. This action is a standard Einstein-Yang-Mills-Higgs theory extended by three scalar fields. Two of the scalar fields are interpreted as dilatons, while the one associated with the off-diagonal term of the metric induces very specific interactions.

8.132177

7.84596

7.667718

7.223618

8.041416

7.382801

7.459242

7.983155

7.636437

8.527195

7.826304

8.076754

7.861483

7.897955

7.645555

7.827939

7.732706

7.92598

7.771787

7.882768

7.789012

1606.00830

Raul Arias

Ra\'ul Arias, Javier Mas, Alexandre Serantes

Stability of Charged Global AdS$_4$ Spacetimes

43 pg, 22 fig. Published version. Appendix added

null

10.1007/JHEP09(2016)024

null

hep-th gr-qc

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

We study linear and nonlinear stability of asymptotically AdS$_4$ solutions in Einstein-Maxwell-scalar theory. After summarizing the set of static solutions we first examine thermodynamical stability in the grand canonical ensemble and the phase transitions that occur among them. In the second part of the paper we focus on nonlinear stability in the microcanonical ensemble by evolving radial perturbations numerically. We find hints of an instability corner for vanishingly small perturbations of the same kind as the ones present in the uncharged case. Collapses are avoided, instead, if the charge and mass of the perturbations come to close the line of solitons. Finally we examine the soliton solutions. The linear spectrum of normal modes is not resonant and instability turns on at extrema of the mass curve. Linear stability extends to nonlinear stability up to some threshold for the amplitude of the perturbation. Beyond that, the soliton is destroyed and collapses to a hairy black hole. The relative width of this stability band scales down with the charge Q, and does not survive the blow up limit to a planar geometry.

[ { "created": "Thu, 2 Jun 2016 19:58:14 GMT", "version": "v1" }, { "created": "Tue, 23 May 2017 00:11:05 GMT", "version": "v2" } ]

2017-05-24

[ [ "Arias", "Raúl", "" ], [ "Mas", "Javier", "" ], [ "Serantes", "Alexandre", "" ] ]

We study linear and nonlinear stability of asymptotically AdS$_4$ solutions in Einstein-Maxwell-scalar theory. After summarizing the set of static solutions we first examine thermodynamical stability in the grand canonical ensemble and the phase transitions that occur among them. In the second part of the paper we focus on nonlinear stability in the microcanonical ensemble by evolving radial perturbations numerically. We find hints of an instability corner for vanishingly small perturbations of the same kind as the ones present in the uncharged case. Collapses are avoided, instead, if the charge and mass of the perturbations come to close the line of solitons. Finally we examine the soliton solutions. The linear spectrum of normal modes is not resonant and instability turns on at extrema of the mass curve. Linear stability extends to nonlinear stability up to some threshold for the amplitude of the perturbation. Beyond that, the soliton is destroyed and collapses to a hairy black hole. The relative width of this stability band scales down with the charge Q, and does not survive the blow up limit to a planar geometry.

13.601265

13.73268

13.786928

13.188198

14.4977

13.198824

13.624184

13.25115

13.102396

15.830337

12.703842

12.79419

13.40008

12.807733

12.657767

12.355776

12.921868

12.696735

12.460029

13.565347

12.640323

1611.09808

Soumya Sasmal

One loop amplitude for Heterotic string on $T^2$

30 pages

null

hep-th

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

We revisit the results of one loop string amplitude calculations for the Heterotic string theory compactified on a torus with or without Wilson lines. We give the complete elliptic genus and the harmonic part of the CP-even amplitude for the gauge groups $SO(32)$, $E_8 \times E_8$, $SO(16)^2$ and $SO(8)^4$.

[ { "created": "Tue, 29 Nov 2016 19:52:52 GMT", "version": "v1" }, { "created": "Mon, 13 Feb 2017 16:51:27 GMT", "version": "v2" } ]

2017-02-14

[ [ "Sasmal", "Soumya", "" ] ]

We revisit the results of one loop string amplitude calculations for the Heterotic string theory compactified on a torus with or without Wilson lines. We give the complete elliptic genus and the harmonic part of the CP-even amplitude for the gauge groups $SO(32)$, $E_8 \times E_8$, $SO(16)^2$ and $SO(8)^4$.

7.645566

6.747361

8.615055

6.627501

6.886998

6.849328

7.27508

6.770947

6.762785

8.593681

6.846929

6.736643

7.630264

6.827648

6.815766

6.766037

6.847666

6.810444

6.916649

7.483755

6.832412

hep-th/9811067

Garcia

L.C.Garcia de Andrade (Departamento de Fisica Teorica-IF-UERJ)

Torsion and Quantized Vortices

Latex,4 pages,submitted to Mod.Phys.Lett.A

null

hep-th

null

A propagation torsion model for quantized vortices is proposed.The model is applied to superfluids and liquid Helium II.

[ { "created": "Sat, 7 Nov 1998 03:30:42 GMT", "version": "v1" } ]

2007-05-23

[ [ "de Andrade", "L. C. Garcia", "", "Departamento de Fisica Teorica-IF-UERJ" ] ]

A propagation torsion model for quantized vortices is proposed.The model is applied to superfluids and liquid Helium II.

28.941544

24.392689

30.685741

21.178377

26.467747

27.502153

23.786432

26.751474

24.919849

27.190638

26.477301

25.877493

24.534117

24.594042

24.544725

26.837214

25.679371

23.926863

25.712584

22.45587

23.005255

hep-th/0309183

Pijush K. Ghosh

Super-Calogero model with OSp(2|2) supersymmetry : is the construction unique?

Revtex4, 20 pages, no figure; Version to appear in Nuclear Physics B

Nucl.Phys.B681:359-373,2004

10.1016/j.nuclphysb.2003.12.011

SINP/TNP/03-33

hep-th

null

We show that the construction of super-Calogero model with OSp(2|2) supersymmetry is not unique. In particular, we find a new co-ordinate representation of the generators of the OSp(2|2) superalgebra that appears as the dynamical supersymmetry of the rational super-Calogero model. Both the quadratic and the cubic Casimir operators of the OSp(2|2) are necessarily zero in this new representation, while they are, in general, nonzero for the super-Calogero model that is currently studied in the literature. The Scasimir operator that exists in the new co-ordinate representation is not present in the case of the existing super-Calogero model. We also discuss the case of N free superoscillators and superconformal quantum mechanics for which the same conclusions are valid.

[ { "created": "Thu, 18 Sep 2003 13:52:58 GMT", "version": "v1" }, { "created": "Mon, 8 Dec 2003 08:15:27 GMT", "version": "v2" } ]

2010-12-03

[ [ "Ghosh", "Pijush K.", "" ] ]

We show that the construction of super-Calogero model with OSp(2|2) supersymmetry is not unique. In particular, we find a new co-ordinate representation of the generators of the OSp(2|2) superalgebra that appears as the dynamical supersymmetry of the rational super-Calogero model. Both the quadratic and the cubic Casimir operators of the OSp(2|2) are necessarily zero in this new representation, while they are, in general, nonzero for the super-Calogero model that is currently studied in the literature. The Scasimir operator that exists in the new co-ordinate representation is not present in the case of the existing super-Calogero model. We also discuss the case of N free superoscillators and superconformal quantum mechanics for which the same conclusions are valid.

5.911491

5.844678

7.027033

5.73589

6.106615

6.076435

5.413589

5.851582

5.783577

7.004412

5.378265

5.637142

6.323564

5.736767

5.894948

5.804168

5.766428

5.624146

5.709263

6.069729

5.567338

hep-th/0409314

Thomas Hertog

Thomas Hertog, Kengo Maeda

Stability and Thermodynamics of AdS Black Holes with Scalar Hair

18 pages, 4 figures

Phys.Rev. D71 (2005) 024001

10.1103/PhysRevD.71.024001

null

hep-th

null

Recently a class of static spherical black hole solutions with scalar hair was found in four and five dimensional gauged supergravity with modified, but AdS invariant boundary conditions. These black holes are fully specified by a single conserved charge, namely their mass, which acquires a contribution from the scalar field. Here we report on a more detailed study of some of the properties of these solutions. A thermodynamic analysis shows that in the canonical ensemble the standard Schwarzschild-AdS black hole is stable against decay into a hairy black hole. We also study the stability of the hairy black holes and find there always exists an unstable radial fluctuation, in both four and five dimensions. We argue, however, that Schwarzschild-AdS is probably not the endstate of evolution under this instability.

[ { "created": "Thu, 30 Sep 2004 18:21:46 GMT", "version": "v1" } ]

2009-11-10

[ [ "Hertog", "Thomas", "" ], [ "Maeda", "Kengo", "" ] ]

Recently a class of static spherical black hole solutions with scalar hair was found in four and five dimensional gauged supergravity with modified, but AdS invariant boundary conditions. These black holes are fully specified by a single conserved charge, namely their mass, which acquires a contribution from the scalar field. Here we report on a more detailed study of some of the properties of these solutions. A thermodynamic analysis shows that in the canonical ensemble the standard Schwarzschild-AdS black hole is stable against decay into a hairy black hole. We also study the stability of the hairy black holes and find there always exists an unstable radial fluctuation, in both four and five dimensions. We argue, however, that Schwarzschild-AdS is probably not the endstate of evolution under this instability.

7.988617

6.922969

8.104292

7.086083

7.664783

7.283452

7.441653

7.409566

7.155629

7.712677

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7.498753

7.792793

7.626152

7.772104

7.524848

7.440542

7.563269

7.552098

7.655682

7.379155

2003.13578

Fernando Marchesano

Fernando Marchesano, Eran Palti, Joan Quirant, and Alessandro Tomasiello

On supersymmetric AdS$_4$ orientifold vacua

29 pages, minor corrections

null

IFT-UAM/CSIC-20-51

hep-th

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

In this work we study ten-dimensional solutions to type IIA string theory of the form AdS$_4$ x $X_6$ which contain orientifold planes and preserve N=1 supersymmetry. In particular, we consider solutions which exhibit some key features of the four-dimensional DGKT proposal for compactifications on Calabi-Yau manifolds with fluxes, and in this sense may be considered their ten-dimensional uplifts. We focus on the supersymmetry equations and Bianchi identities, and find solutions to these that are valid at the two-derivative level and at first order in an expansion parameter which is related to the AdS cosmological constant. This family of solutions is such that the background metric is deformed from the Ricci-flat one to one exhibiting SU(3)xSU(3)-structure, and dilaton gradients and warp factors are induced.

[ { "created": "Mon, 30 Mar 2020 15:53:25 GMT", "version": "v1" }, { "created": "Tue, 18 Aug 2020 08:49:23 GMT", "version": "v2" }, { "created": "Mon, 25 Oct 2021 21:27:01 GMT", "version": "v3" } ]

2021-10-27

[ [ "Marchesano", "Fernando", "" ], [ "Palti", "Eran", "" ], [ "Quirant", "Joan", "" ], [ "Tomasiello", "Alessandro", "" ] ]

In this work we study ten-dimensional solutions to type IIA string theory of the form AdS$_4$ x $X_6$ which contain orientifold planes and preserve N=1 supersymmetry. In particular, we consider solutions which exhibit some key features of the four-dimensional DGKT proposal for compactifications on Calabi-Yau manifolds with fluxes, and in this sense may be considered their ten-dimensional uplifts. We focus on the supersymmetry equations and Bianchi identities, and find solutions to these that are valid at the two-derivative level and at first order in an expansion parameter which is related to the AdS cosmological constant. This family of solutions is such that the background metric is deformed from the Ricci-flat one to one exhibiting SU(3)xSU(3)-structure, and dilaton gradients and warp factors are induced.

8.579155

8.239614

9.530403

7.984181

8.451477

8.594932

7.71314

7.585519

8.094834

9.885795

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7.68926

8.305827

7.408938

7.578186

7.796831

7.782777

7.834556

7.832977

8.189364

7.692935

1208.0415

Edward Teo

Yu Chen, Edward Teo

Balanced electric-magnetic dihole in Kaluza-Klein theory

33 pages, 6 figures; v2: expanded discussion of phase space, published version

null

10.1007/JHEP09(2012)085

null

hep-th gr-qc

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

We present a four-dimensional double-black-hole (or dihole) solution in Kaluza-Klein theory, describing a superposition of an electrically charged and a magnetically charged black hole. This system can be balanced for appropriately chosen parameters, and the resulting space-time is completely regular on and outside the event horizons. This solution was constructed using the inverse-scattering method in five-dimensional vacuum gravity, in which it describes a rotating black ring surrounding a static black hole on a Taub-NUT background space. Various properties of this solution are studied, from both a four- and five-dimensional perspective.

[ { "created": "Thu, 2 Aug 2012 06:58:51 GMT", "version": "v1" }, { "created": "Mon, 3 Sep 2012 00:17:16 GMT", "version": "v2" } ]

2015-06-11

[ [ "Chen", "Yu", "" ], [ "Teo", "Edward", "" ] ]

We present a four-dimensional double-black-hole (or dihole) solution in Kaluza-Klein theory, describing a superposition of an electrically charged and a magnetically charged black hole. This system can be balanced for appropriately chosen parameters, and the resulting space-time is completely regular on and outside the event horizons. This solution was constructed using the inverse-scattering method in five-dimensional vacuum gravity, in which it describes a rotating black ring surrounding a static black hole on a Taub-NUT background space. Various properties of this solution are studied, from both a four- and five-dimensional perspective.

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