LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

2303.05111

Richard Woodard

R. P. Woodard (University of Florida)

Big Steve and the State of the Universe

19 pages, uses LaTeX2e, written for a special issue of Symmetry Commemorating Steven Weinberg. Version 2 slightly revised for publication

Symmetry 2023, 15(4)

10.3390/sym15040856

UFIFT-QG-23-04

hep-th physics.hist-ph

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

I share some reminiscences of the late Steven Weinberg. Then I discuss a topic in quantum field theory which he taught me: the role of state wave functionals in deriving the $i\epsilon$ term of the Feynman propagator when using the functional formalism. This is perhaps a curiosity for in-out scattering amplitudes on flat space backgrounds, but it is has much greater significance for the in-in amplitudes of the Schwinger-Keldysh formalism in cosmology. It also touches on the fate, about which Weinberg wondered, of the large logarithms one sometimes finds in quantum corrections from inflationary particle production.

[ { "created": "Thu, 9 Mar 2023 08:32:52 GMT", "version": "v1" }, { "created": "Fri, 26 May 2023 12:34:17 GMT", "version": "v2" } ]

2023-05-29

[ [ "Woodard", "R. P.", "", "University of Florida" ] ]

I share some reminiscences of the late Steven Weinberg. Then I discuss a topic in quantum field theory which he taught me: the role of state wave functionals in deriving the $i\epsilon$ term of the Feynman propagator when using the functional formalism. This is perhaps a curiosity for in-out scattering amplitudes on flat space backgrounds, but it is has much greater significance for the in-in amplitudes of the Schwinger-Keldysh formalism in cosmology. It also touches on the fate, about which Weinberg wondered, of the large logarithms one sometimes finds in quantum corrections from inflationary particle production.

12.858397

12.114191

13.034355

11.028111

13.510311

12.205392

11.732573

11.241178

11.573764

13.720054

11.603291

11.995303

11.519114

12.017526

11.755797

11.856475

11.559464

11.822275

11.916212

11.962545

11.502411

2405.05178

Yoshiki Fukusumi

Fusion rule in conformal field theories and topological orders: A unified view of correspondence and (fractional) supersymmetry and their relation to topological holography

References are added, discussions on the symmetry in lattice models in recent literature are added, and typos are corrected

null

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

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

Generalized symmetry, including non-invertible and categorical symmetry, plays a central role in contemporary studies on topological orders (TOs) and the corresponding conformal field theories (CFTs). The generators of such symmetries have a close connection to non-abelian anyonic objects in a bulk CFT or chiral CFT (CCFT), but it has been known that the construction of a CCFT contains theoretical difficulties in general. In this work, we revisit the structure of the fusion rule in $Z_{N}$ symmetric chiral and bulk conformal field theories and the corresponding TOs. We propose a nontrivial expression of subalgebra structure in the fusion rule of a bulk CFT. We name this subalgebra ``bulk semion" which corresponds to the fusion rule of the CCFTs and categorical symmetry of the TOs. This is a bulk-edge correspondence based on the symmetry analysis and can be interpreted as a version of topological holography in the recent literature. The topological holography has been expected to be applicable to the systems in general space-time dimensions. Moreover, we give a concise way of unifying duality (or fractional supersymmetry), generalized or categorical symmetry, and Lagrangian subalgebra. Our method is potentially useful to formulate and study general TOs, fundamentally only from the data of bulk CFTs or vice versa, and gives a clue in understanding CCFT (or ancillary CFT more generally).

[ { "created": "Wed, 8 May 2024 16:14:02 GMT", "version": "v1" }, { "created": "Wed, 15 May 2024 05:31:44 GMT", "version": "v2" } ]

2024-05-16

[ [ "Fukusumi", "Yoshiki", "" ] ]

Generalized symmetry, including non-invertible and categorical symmetry, plays a central role in contemporary studies on topological orders (TOs) and the corresponding conformal field theories (CFTs). The generators of such symmetries have a close connection to non-abelian anyonic objects in a bulk CFT or chiral CFT (CCFT), but it has been known that the construction of a CCFT contains theoretical difficulties in general. In this work, we revisit the structure of the fusion rule in $Z_{N}$ symmetric chiral and bulk conformal field theories and the corresponding TOs. We propose a nontrivial expression of subalgebra structure in the fusion rule of a bulk CFT. We name this subalgebra ``bulk semion" which corresponds to the fusion rule of the CCFTs and categorical symmetry of the TOs. This is a bulk-edge correspondence based on the symmetry analysis and can be interpreted as a version of topological holography in the recent literature. The topological holography has been expected to be applicable to the systems in general space-time dimensions. Moreover, we give a concise way of unifying duality (or fractional supersymmetry), generalized or categorical symmetry, and Lagrangian subalgebra. Our method is potentially useful to formulate and study general TOs, fundamentally only from the data of bulk CFTs or vice versa, and gives a clue in understanding CCFT (or ancillary CFT more generally).

13.075313

13.778884

14.306264

13.379995

14.120419

14.460414

14.681184

13.262993

13.451849

15.050842

12.313765

12.800214

12.833102

12.506812

13.081755

12.930547

12.828624

12.807943

12.513642

12.886307

12.704924

1908.06710

Jarah Evslin

Manifestly Finite Derivation of the Quantum Kink Mass

36 pages, no figures, v2: typos fixed

JHEP 1911 (2019) 161

10.1007/JHEP11(2019)161

null

hep-th

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

In 1974 Dashen, Hasslacher and Neveu calculated the leading quantum correction to the mass of the kink in the scalar $\phi^4$ theory in 1+1 dimensions. The derivation relies on the identification of the perturbations about the kink as solutions of the Poschl-Teller (PT) theory. They regularize the theory by placing it in a periodic box, although the kink is not itself periodic. They also require an ad hoc identification of plane wave and PT states which is difficult to interpret in the decompactified limit. We rederive the mass using the kink operator to recast this problem in terms of the PT Hamiltonian which we explicitly diagonalize using its exact eigenstates. We normal order from the beginning, rendering our theory finite so that no compactification is necessary. In our final expression for the kink mass, the form of the PT potential disappears, suggesting that our mass formula applies to other quantum solitons.

[ { "created": "Mon, 19 Aug 2019 11:48:26 GMT", "version": "v1" }, { "created": "Thu, 16 Jan 2020 09:40:33 GMT", "version": "v2" } ]

2020-01-17

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

In 1974 Dashen, Hasslacher and Neveu calculated the leading quantum correction to the mass of the kink in the scalar $\phi^4$ theory in 1+1 dimensions. The derivation relies on the identification of the perturbations about the kink as solutions of the Poschl-Teller (PT) theory. They regularize the theory by placing it in a periodic box, although the kink is not itself periodic. They also require an ad hoc identification of plane wave and PT states which is difficult to interpret in the decompactified limit. We rederive the mass using the kink operator to recast this problem in terms of the PT Hamiltonian which we explicitly diagonalize using its exact eigenstates. We normal order from the beginning, rendering our theory finite so that no compactification is necessary. In our final expression for the kink mass, the form of the PT potential disappears, suggesting that our mass formula applies to other quantum solitons.

10.294488

10.37268

10.828065

10.045398

11.016236

10.616352

10.159546

9.740916

9.551916

11.633021

9.810621

9.678821

9.884564

9.638908

9.519401

9.354227

9.79382

9.62837

10.056505

10.037932

9.605725

hep-th/9603013

Jorge Eduardo Stephany Ruiz

J. P. Lupi, A. Restuccia, J. Stephany

Non Abelian BF theories with sources and 2-D gravity

20 pages, Latex, To appear in Phys Rev D54

Phys.Rev.D54:3861-3868,1996

10.1103/PhysRevD.54.3861

SB/F/95-233

hep-th

null

We study the interaction of non-Abelian topological $BF$ theories defined on two dimensional manifolds with point sources carrying non-Abelian charges. We identify the most general solution for the field equations on simply and multiply connected two-manifolds. Taking the particular choice of the so-called extended Poincar\'e group as the gauge group we discuss how recent discussions of two dimensional gravity models do fit in this formalism.

[ { "created": "Mon, 4 Mar 1996 19:10:10 GMT", "version": "v1" }, { "created": "Wed, 21 Aug 1996 18:45:00 GMT", "version": "v2" } ]

2011-09-09

[ [ "Lupi", "J. P.", "" ], [ "Restuccia", "A.", "" ], [ "Stephany", "J.", "" ] ]

We study the interaction of non-Abelian topological $BF$ theories defined on two dimensional manifolds with point sources carrying non-Abelian charges. We identify the most general solution for the field equations on simply and multiply connected two-manifolds. Taking the particular choice of the so-called extended Poincar\'e group as the gauge group we discuss how recent discussions of two dimensional gravity models do fit in this formalism.

12.057694

11.957881

11.517422

10.25088

10.986291

10.953433

12.312889

10.693482

10.71498

11.731933

10.458557

11.191042

10.652793

10.6401

10.963139

11.059819

10.933137

11.043296

11.154482

11.37113

10.558792

0901.2176

Mikhail A. Vasiliev

O.A. Gelfond and M.A.Vasiliev

$Sp(8)$ invariant higher spin theory, twistors and geometric BRST formulation of unfolded field equations

26 pages, clarifications and references added, typos corrected

JHEP 0912:021,2009

10.1088/1126-6708/2009/12/021

FIAN/TD/02-09

hep-th math.DG

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

We discuss twistor-like interpretation of the $Sp(8)$ invariant formulation of 4d massless fields in ten dimensional Lagrangian Grassmannian $Sp(8)/P$ which is the generalized space-time in this framework. The correspondence space $\mathbf{C}$ is $SpH(8)/PH$ where $SpH(8)$ is the semidirect product of $Sp(8)$ with Heisenberg group $\HG$ and $PH$ is some quasiparabolic subgroup of $SpH(8)$. Spaces of functions on $Sp(8)/P$ and $SpH(8)/PH$ consist of $Q_P $ closed functions on $Sp(8)$ and $Q_{PH} $ closed functions on $SpH(8)$, where $Q_P $ and $Q_{PH}$ are canonical BRST operators of $P$ and $PH$. The space of functions on the generalized twistor space $\mathbf{T}$ identifies with the $SpH(8)$ Fock module. Although $\mathbf{T}$ cannot be realized as a homogeneous space, we find a nonstandard $SpH(8)$ invariant BRST operator $\QQ$ $(\QQ^2 =0)$ that gives rise to an appropriate class of functions via the condition $\QQ f=0$ equivalent to the unfolded higher--spin equations. The proposed construction is manifestly $Sp(8)$ invariant, globally defined and coordinate independent. Its Minkowski analogue gives a version of twistor theory with both types of chiral spinors treated on equal footing. The extensions to the higher rank case with several Heisenberg groups and to the complex case are considered. A relation with Riemann theta functions, that are $\QQ$-closed, is discussed.

[ { "created": "Thu, 15 Jan 2009 21:05:25 GMT", "version": "v1" }, { "created": "Mon, 28 Sep 2009 22:16:37 GMT", "version": "v2" }, { "created": "Fri, 18 Dec 2009 19:25:57 GMT", "version": "v3" } ]

2009-12-18

[ [ "Gelfond", "O. A.", "" ], [ "Vasiliev", "M. A.", "" ] ]

We discuss twistor-like interpretation of the $Sp(8)$ invariant formulation of 4d massless fields in ten dimensional Lagrangian Grassmannian $Sp(8)/P$ which is the generalized space-time in this framework. The correspondence space $\mathbf{C}$ is $SpH(8)/PH$ where $SpH(8)$ is the semidirect product of $Sp(8)$ with Heisenberg group $\HG$ and $PH$ is some quasiparabolic subgroup of $SpH(8)$. Spaces of functions on $Sp(8)/P$ and $SpH(8)/PH$ consist of $Q_P $ closed functions on $Sp(8)$ and $Q_{PH} $ closed functions on $SpH(8)$, where $Q_P $ and $Q_{PH}$ are canonical BRST operators of $P$ and $PH$. The space of functions on the generalized twistor space $\mathbf{T}$ identifies with the $SpH(8)$ Fock module. Although $\mathbf{T}$ cannot be realized as a homogeneous space, we find a nonstandard $SpH(8)$ invariant BRST operator $\QQ$ $(\QQ^2 =0)$ that gives rise to an appropriate class of functions via the condition $\QQ f=0$ equivalent to the unfolded higher--spin equations. The proposed construction is manifestly $Sp(8)$ invariant, globally defined and coordinate independent. Its Minkowski analogue gives a version of twistor theory with both types of chiral spinors treated on equal footing. The extensions to the higher rank case with several Heisenberg groups and to the complex case are considered. A relation with Riemann theta functions, that are $\QQ$-closed, is discussed.

8.010564

8.439911

8.851639

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8.609529

8.199434

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8.457611

8.012954

8.094103

8.099516

8.041827

8.05751

7.897291

8.283154

7.836536

2109.08274

Takuya Yoda

Tetsuya Onogi, Takuya Yoda

Comments on the Atiyah-Patodi-Singer index theorem, domain wall, and Berry phase

15 pages, 2 figures

null

10.1007/JHEP12(2021)096

null

hep-th cond-mat.str-el

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

It is known that the Atiyah-Patodi-Singer index can be reformulated as the eta invariant of the Dirac operators with a domain wall mass which plays a key role in the anomaly inflow of the topological insulator with boundary. In this paper, we give a conjecture that the reformulated version of the Atiyah-Patodi-Singer index can be given simply from the Berry phase associated with domain wall Dirac operators when adiabatic approximation is valid. We explicitly confirm this conjecture for a special case in two dimensions where analytic calculation is possible. The Berry phase is divided into the bulk and the boundary contributions, each of which gives the bulk integration of the Chern character and the eta-invariant.

[ { "created": "Fri, 17 Sep 2021 01:28:29 GMT", "version": "v1" }, { "created": "Fri, 1 Oct 2021 07:06:12 GMT", "version": "v2" }, { "created": "Fri, 19 Nov 2021 02:35:19 GMT", "version": "v3" } ]

2022-01-05

[ [ "Onogi", "Tetsuya", "" ], [ "Yoda", "Takuya", "" ] ]

It is known that the Atiyah-Patodi-Singer index can be reformulated as the eta invariant of the Dirac operators with a domain wall mass which plays a key role in the anomaly inflow of the topological insulator with boundary. In this paper, we give a conjecture that the reformulated version of the Atiyah-Patodi-Singer index can be given simply from the Berry phase associated with domain wall Dirac operators when adiabatic approximation is valid. We explicitly confirm this conjecture for a special case in two dimensions where analytic calculation is possible. The Berry phase is divided into the bulk and the boundary contributions, each of which gives the bulk integration of the Chern character and the eta-invariant.

7.858869

8.154628

7.676232

7.111752

7.47617

8.087652

7.629514

7.149897

7.53607

8.42773

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7.495312

7.898048

7.515341

7.864396

7.341299

7.455538

7.55579

7.684517

7.725051

7.627955

hep-th/0501246

Tomas Ortin

Jorge Bellorin and Tomas Ortin (IFT-UAM/CSIC)

A note on simple applications of the Killing Spinor Identities

10 pages, latex2e. Comments and references added. Version to be published in Physics Letters B

Phys.Lett. B616 (2005) 118-124

10.1016/j.physletb.2005.04.026

IFT-UAM/CSIC-05-06

hep-th gr-qc

null

We show how the Killing Spinor Identities (KSI) can be used to reduce the number of independent equations of motion that need to be checked explicitly to make sure that a supersymmetric configuration is a classical supergravity solution. We also show how the KSI can be used to compute BPS relations between masses and charges.

[ { "created": "Mon, 31 Jan 2005 09:55:12 GMT", "version": "v1" }, { "created": "Mon, 14 Feb 2005 09:29:53 GMT", "version": "v2" }, { "created": "Tue, 12 Apr 2005 10:09:46 GMT", "version": "v3" } ]

2010-04-05

[ [ "Bellorin", "Jorge", "", "IFT-UAM/CSIC" ], [ "Ortin", "Tomas", "", "IFT-UAM/CSIC" ] ]

We show how the Killing Spinor Identities (KSI) can be used to reduce the number of independent equations of motion that need to be checked explicitly to make sure that a supersymmetric configuration is a classical supergravity solution. We also show how the KSI can be used to compute BPS relations between masses and charges.

7.300986

6.424026

8.267552

6.662413

7.040196

6.59587

6.778368

6.38

6.871887

7.670709

6.158042

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7.110571

6.786704

6.748496

7.049435

6.62465

6.833221

6.781684

7.14454

6.444426

hep-th/9808042

Dr. Dirk Kreimer

Alain Connes and Dirk Kreimer

Hopf Algebras, Renormalization and Noncommutative Geometry

49 pages, Latex, 14 Fig's using epsf

Commun.Math.Phys. 199 (1998) 203-242

10.1007/s002200050499

IHES/M/98/60

hep-th math.OA math.QA

null

We explore the relation between the Hopf algebra associated to the renormalization of QFT and the Hopf algebra associated to the NCG computations of transverse index theory for foliations.

[ { "created": "Fri, 7 Aug 1998 17:28:15 GMT", "version": "v1" } ]

2009-10-31

[ [ "Connes", "Alain", "" ], [ "Kreimer", "Dirk", "" ] ]

We explore the relation between the Hopf algebra associated to the renormalization of QFT and the Hopf algebra associated to the NCG computations of transverse index theory for foliations.

10.603308

8.399959

12.182413

9.201031

11.311101

8.583789

9.288499

10.303509

10.267138

13.002327

10.464862

10.341634

12.033975

10.834694

9.614306

10.332478

9.925954

10.705341

9.78389

10.95244

11.030633

hep-th/0202086

Miyuki Nishikawa

Quantum Gravity with Minimal Assumptions

4 pages, no figures, PTPTeX with amsfonts. Talk given at 11th Workshop on General Relativity and Gravitation (JGRG11), Waseda Univesity, Japan, 9-12 Jan 2002. Citation miss corrected and figures omitted

null

hep-th

null

The purpose is to construct the quantum field theory including gravity, based on physical assumptions as few as possible. Up to now, the work by Prof. Steven Weinberg probably suits this purpose the most. Though the purpose is difficult to reach, my recent preprint was interested in an exceptional case caused by singularity. Therefore, I'd like to explain the motivations and possible applications of the preprint.

[ { "created": "Thu, 14 Feb 2002 17:48:25 GMT", "version": "v1" }, { "created": "Fri, 22 Feb 2002 14:30:49 GMT", "version": "v2" } ]

2007-05-23

[ [ "Nishikawa", "Miyuki", "" ] ]

The purpose is to construct the quantum field theory including gravity, based on physical assumptions as few as possible. Up to now, the work by Prof. Steven Weinberg probably suits this purpose the most. Though the purpose is difficult to reach, my recent preprint was interested in an exceptional case caused by singularity. Therefore, I'd like to explain the motivations and possible applications of the preprint.

25.431854

28.271517

29.095217

24.112974

24.992788

25.517181

25.221432

25.392012

27.703587

26.067783

24.679052

26.260283

25.291859

25.797781

25.118357

25.691019

25.679329

24.831421

25.291655

24.786798

25.081722

hep-th/0104267

Regina Maria Ricotta

Elso Drigo Filho and Regina Maria Ricotta

A new exactly solvable Eckart-type potential

Latex, 9 pages

null

hep-th

null

A new exact analytically solvable Eckart-type potential is presented, a generalisation of the Hulthen potential. The study through Supersymmetric Quantum Mechanics is presented together with the hierarchy of Hamiltonians and the shape invariance property.

[ { "created": "Mon, 30 Apr 2001 22:23:14 GMT", "version": "v1" } ]

2007-05-23

[ [ "Filho", "Elso Drigo", "" ], [ "Ricotta", "Regina Maria", "" ] ]

A new exact analytically solvable Eckart-type potential is presented, a generalisation of the Hulthen potential. The study through Supersymmetric Quantum Mechanics is presented together with the hierarchy of Hamiltonians and the shape invariance property.

13.680114

11.057285

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9.855124

10.313814

10.441996

11.536817

10.023848

9.964594

11.323348

10.681756

0909.1929

Ian Jack

I. Jack, D.R.T. Jones and R. Purdy

A renormalisable non-anticommutative SU(N)xU(1) gauge theory in components

25pp, 14 figures, LaTeX; minor typo fixed, reference added, notation clarified

JHEP 0911:098,2009

10.1088/1126-6708/2009/11/098

LTH838

hep-th

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

We discuss the non-anticommutative (N=1/2) supersymmetric SU(N)\otimes U(1) gauge theory including a superpotential. We show how recent proposals for obtaining a renormalisable version of the theory may be implemented in the component formalism at the one-loop level.

[ { "created": "Thu, 10 Sep 2009 11:41:56 GMT", "version": "v1" }, { "created": "Tue, 15 Sep 2009 11:48:11 GMT", "version": "v2" }, { "created": "Tue, 20 Oct 2009 08:38:07 GMT", "version": "v3" } ]

2009-11-30

[ [ "Jack", "I.", "" ], [ "Jones", "D. R. T.", "" ], [ "Purdy", "R.", "" ] ]

We discuss the non-anticommutative (N=1/2) supersymmetric SU(N)\otimes U(1) gauge theory including a superpotential. We show how recent proposals for obtaining a renormalisable version of the theory may be implemented in the component formalism at the one-loop level.

9.763556

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6.321637

9.743228

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8.924317

7.646311

6.882556

7.109732

6.97156

7.678415

7.706651

8.643145

7.518464

hep-th/9411020

Larus Thorlacius

Black Hole Evolution

30 pages, 8 figures, latex

Nucl.Phys.Proc.Suppl.41:245-275,1995

10.1016/0920-5632(95)00435-C

NSF-ITP-94-109

hep-th gr-qc

null

Black hole formation and evaporation is studied in the semiclassical approximation in simple 1+1-dimensional models, with emphasis on issues related to Hawking's information paradox. Exact semiclassical solutions are described and questions of boundary conditions and vacuum stability are discussed. The validity of the semiclassical approximation has been called into question in the context of the information puzzle. A different approach, where black hole evolution is assumed to be unitary, is described. It requires unusual causal properties and kinematic behavior of matter that may be realized in string theory. Based on lectures given at the 1994 Trieste Spring School

[ { "created": "Wed, 2 Nov 1994 22:11:42 GMT", "version": "v1" } ]

2010-11-01

[ [ "Thorlacius", "Larus", "" ] ]

Black hole formation and evaporation is studied in the semiclassical approximation in simple 1+1-dimensional models, with emphasis on issues related to Hawking's information paradox. Exact semiclassical solutions are described and questions of boundary conditions and vacuum stability are discussed. The validity of the semiclassical approximation has been called into question in the context of the information puzzle. A different approach, where black hole evolution is assumed to be unitary, is described. It requires unusual causal properties and kinematic behavior of matter that may be realized in string theory. Based on lectures given at the 1994 Trieste Spring School

10.223863

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8.906617

9.441543

8.833112

9.320547

9.142695

9.749146

9.280324

2402.17824

Subir Sachdev

Quantum spin glasses and Sachdev-Ye-Kitaev models

22 pages, 8 figures; Rapporteur presentation at the 29th Solvay conference, The Structure and Dynamics of Disordered Systems, October 2023, Brussels

null

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

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

A brief survey of some random quantum models with infinite-range couplings is presented. Insights from such models have led to advances in the quantum theory of charged black holes in spatial dimensions $d \geq 3$, and to a universal theory of strange metals in correlated electron materials in $d=2$; these are also briefly reviewed.

[ { "created": "Tue, 27 Feb 2024 19:00:01 GMT", "version": "v1" }, { "created": "Wed, 6 Mar 2024 11:14:39 GMT", "version": "v2" }, { "created": "Thu, 13 Jun 2024 06:59:25 GMT", "version": "v3" }, { "created": "Sat, 15 Jun 2024 03:42:46 GMT", "version": "v4" } ]

2024-06-18

[ [ "Sachdev", "Subir", "" ] ]

A brief survey of some random quantum models with infinite-range couplings is presented. Insights from such models have led to advances in the quantum theory of charged black holes in spatial dimensions $d \geq 3$, and to a universal theory of strange metals in correlated electron materials in $d=2$; these are also briefly reviewed.

15.964271

17.496126

17.69742

15.609932

13.805325

16.563351

15.784959

14.180258

14.709496

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14.810125

14.241007

13.618686

12.931459

13.997021

13.645884

14.126894

15.144508

13.164204

hep-th/0602139

Giovanni Salesi

Deriving Spin of the Bosonic String

null

Found.Phys.Lett. 19 (2006) 367-376

10.1007/s10702-006-0800-4

null

hep-th

null

Exploiting the strict analogy between the motion of strings and extended-like spinning particles, we propose an original kinematical formulation of the spin of bosonic strings and give, for the first time, an analytical derivation of an explicit expression of the string spin vector.

[ { "created": "Tue, 14 Feb 2006 17:17:46 GMT", "version": "v1" }, { "created": "Sun, 16 Jul 2006 00:43:30 GMT", "version": "v2" } ]

2009-11-11

[ [ "Salesi", "Giovanni", "" ] ]

Exploiting the strict analogy between the motion of strings and extended-like spinning particles, we propose an original kinematical formulation of the spin of bosonic strings and give, for the first time, an analytical derivation of an explicit expression of the string spin vector.

17.211605

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14.905888

14.823411

16.814768

16.076078

15.671296

14.834817

14.689453

15.101232

15.561532

15.331808

14.961298

15.14044

16.164675

15.681594

1508.06767

Chrysoula Markou

Ignatios Antoniadis and Chrysoula Markou

The coupling of Non-linear Supersymmetry to Supergravity

15 pages, minor changes, version to be published in EPJC

null

10.1140/epjc/s10052-015-3783-0

null

hep-th

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

We study the coupling of non-linear supersymmetry to supergravity. The goldstino nilpotent superfield of global supersymmetry coupled to supergravity is described by a geometric action of the chiral curvature superfield R subject to the constraint (R-\lambda)^2=0 with an appropriate constant \lambda. This constraint can be found as the decoupling limit of the scalar partner of the goldstino in a class of f(R) supergravity theories.

[ { "created": "Thu, 27 Aug 2015 09:24:48 GMT", "version": "v1" }, { "created": "Fri, 6 Nov 2015 10:50:58 GMT", "version": "v2" } ]

2016-01-27

[ [ "Antoniadis", "Ignatios", "" ], [ "Markou", "Chrysoula", "" ] ]

We study the coupling of non-linear supersymmetry to supergravity. The goldstino nilpotent superfield of global supersymmetry coupled to supergravity is described by a geometric action of the chiral curvature superfield R subject to the constraint (R-\lambda)^2=0 with an appropriate constant \lambda. This constraint can be found as the decoupling limit of the scalar partner of the goldstino in a class of f(R) supergravity theories.

10.400891

8.583769

9.769923

7.98472

9.589795

8.164131

9.101711

8.35044

8.632118

10.226378

8.124208

9.055126

9.279315

8.802944

9.109746

9.112349

9.539588

8.916885

8.698106

8.97658

8.946632

hep-th/0103020

Guang-Hong Chen

Guang-Hong Chen and Yong-Shi Wu

On Critical Phenomena in a Noncommutative Space

12 pages, 2 figures, the relevance of star product structure in low energy effective theory is clarified, the presentation is improved

null

hep-th

null

In this paper we demonstrate that coordinate noncommutativity at short distances can show up in critical phenomena through UV-IR mixing. In the symmetric phase of the Landau-Ginsburg model, noncommutativity is shown to give rise to a non-zero anomalous dimension at one loop, and to cause instability towards a new phase at large noncommutativity. In particular, in less than four dimensions, the one-loop critical exponent $\eta$ is non-vanishing at the Wilson-Fisher fixed point.

[ { "created": "Sun, 4 Mar 2001 04:27:12 GMT", "version": "v1" }, { "created": "Wed, 16 May 2001 21:28:45 GMT", "version": "v2" } ]

2007-05-23

[ [ "Chen", "Guang-Hong", "" ], [ "Wu", "Yong-Shi", "" ] ]

In this paper we demonstrate that coordinate noncommutativity at short distances can show up in critical phenomena through UV-IR mixing. In the symmetric phase of the Landau-Ginsburg model, noncommutativity is shown to give rise to a non-zero anomalous dimension at one loop, and to cause instability towards a new phase at large noncommutativity. In particular, in less than four dimensions, the one-loop critical exponent $\eta$ is non-vanishing at the Wilson-Fisher fixed point.

8.250882

7.769972

8.832149

7.930756

7.91227

7.625775

7.969262

8.044017

7.677752

10.642032

8.038604

7.918917

8.411245

7.892196

7.859888

8.009192

7.61389

7.819209

7.72955

8.11572

7.631674

1307.3970

Jean-Bernard Zuber

Invariances in Physics and Group Theory

Talk given at the Conference "Lie and Klein; the Erlangen program and its impact on mathematics and physics", Strasbourg, Sept. 2012

null

hep-th math-ph math.MP

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

This is a short review of the heritage of Klein's Erlangen program in modern physics.

[ { "created": "Mon, 15 Jul 2013 14:46:18 GMT", "version": "v1" } ]

2013-07-16

[ [ "Zuber", "Jean-Bernard", "" ] ]

This is a short review of the heritage of Klein's Erlangen program in modern physics.

25.581659

9.018836

9.918283

8.346865

8.848395

9.366821

6.786934

7.782887

7.840002

10.21417

9.33306

10.157845

12.476459

9.9956

9.175692

10.394464

9.718304

10.064502

11.000966

11.528287

10.188321

hep-th/9605089

Mikhail Volkov

M.S. Volkov, N. Straumann, G. Lavrelashvili, M. Heusler and O. Brodbeck

Cosmological Analogues of the Bartnik--McKinnon Solutions

16 pages, LaTeX, 9 Postscript figures, uses epsf.sty

Phys.Rev.D54:7243-7251,1996

10.1103/PhysRevD.54.7243

ZU-TH-13/96

hep-th gr-qc hep-ph

null

We present a numerical classification of the spherically symmetric, static solutions to the Einstein--Yang--Mills equations with cosmological constant $\Lambda$. We find three qualitatively different classes of configurations, where the solutions in each class are characterized by the value of $\Lambda$ and the number of nodes, $n$, of the Yang--Mills amplitude. For sufficiently small, positive values of the cosmological constant, $\Lambda < \Llow(n)$, the solutions generalize the Bartnik--McKinnon solitons, which are now surrounded by a cosmological horizon and approach the deSitter geometry in the asymptotic region. For a discrete set of values $\Lambda_{\rm reg}(n) > \Lambda_{\rm crit}(n)$, the solutions are topologically $3$--spheres, the ground state $(n=1)$ being the Einstein Universe. In the intermediate region, that is for $\Llow(n) < \Lambda < \Lhig(n)$, there exists a discrete family of global solutions with horizon and ``finite size''.

[ { "created": "Mon, 13 May 1996 16:20:38 GMT", "version": "v1" } ]

2016-09-06

[ [ "Volkov", "M. S.", "" ], [ "Straumann", "N.", "" ], [ "Lavrelashvili", "G.", "" ], [ "Heusler", "M.", "" ], [ "Brodbeck", "O.", "" ] ]

We present a numerical classification of the spherically symmetric, static solutions to the Einstein--Yang--Mills equations with cosmological constant $\Lambda$. We find three qualitatively different classes of configurations, where the solutions in each class are characterized by the value of $\Lambda$ and the number of nodes, $n$, of the Yang--Mills amplitude. For sufficiently small, positive values of the cosmological constant, $\Lambda < \Llow(n)$, the solutions generalize the Bartnik--McKinnon solitons, which are now surrounded by a cosmological horizon and approach the deSitter geometry in the asymptotic region. For a discrete set of values $\Lambda_{\rm reg}(n) > \Lambda_{\rm crit}(n)$, the solutions are topologically $3$--spheres, the ground state $(n=1)$ being the Einstein Universe. In the intermediate region, that is for $\Llow(n) < \Lambda < \Lhig(n)$, there exists a discrete family of global solutions with horizon and ``finite size''.

5.881742

5.758905

5.593978

5.301526

6.132424

5.811682

5.93059

5.486551

5.826205

6.181977

5.681683

5.86036

5.792734

5.746088

6.02727

5.804756

5.987725

5.922279

5.738845

5.810184

5.67093

hep-th/9807147

Jose Socorro Garcia Diaz

J.A. Nieto and J. Socorro

Self-dual gravity and self-dual Yang-Mills in the context of Macdowell-Mansouri formalism

8 pages, Revtex, no figures, submitted to Phys. Rev. D

Phys.Rev.D59:041501,1999

10.1103/PhysRevD.59.041501

IFUG-98-J03

hep-th

null

In this work we propose an action which unifies self-dual gravity and self-dual Yang-Mills in the context of the Macdowell-Mansouri formalism. We claim that such an action may be used to find the S-dual action for both self-dual gravity and self-dual Yang-Mills.

[ { "created": "Mon, 20 Jul 1998 15:29:29 GMT", "version": "v1" } ]

2009-12-30

[ [ "Nieto", "J. A.", "" ], [ "Socorro", "J.", "" ] ]

In this work we propose an action which unifies self-dual gravity and self-dual Yang-Mills in the context of the Macdowell-Mansouri formalism. We claim that such an action may be used to find the S-dual action for both self-dual gravity and self-dual Yang-Mills.

7.210194

5.075814

5.644768

5.091965

5.091147

5.086944

5.040799

5.193691

4.952623

6.108336

5.380004

5.128716

5.830768

5.34175

5.536944

5.191625

5.408559

5.232762

5.610605

5.788245

5.546905

1309.1670

Claudio Scrucca

Francesca Catino, Claudio A. Scrucca and Paul Smyth

Scalar masses in general N=2 gauged supergravity theories

19 pages, 1 figure; v2 minor corrections and additions

JHEP 1401 (2014) 029

10.1007/JHEP01(2014)029

null

hep-th

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

We readdress the question of whether any universal upper bound exists on the square mass m^2 of the lightest scalar around a supersymmetry breaking vacuum in generic N=2 gauged supergravity theories for a given gravitino mass m_3/2 and cosmological constant V. We review the known bounds which apply to theories with restricted matter content from a new perspective. We then extend these results to theories with both hyper and vector multiplets and a gauging involving only one generator, for which we show that such a bound exists for both V>0 and V<0. We finally argue that there is no bound for the same theories with a gauging involving two or more generators. These results imply that in N=2 supergravity theories metastable de Sitter vacua with V<<m^2_3/2 can only arise if at least two isometries are gauged, while those with V>>m^2_3/2 can also arise when a single isometry is gauged.

[ { "created": "Fri, 6 Sep 2013 15:10:34 GMT", "version": "v1" }, { "created": "Sat, 18 Jan 2014 09:44:12 GMT", "version": "v2" } ]

2014-01-21

[ [ "Catino", "Francesca", "" ], [ "Scrucca", "Claudio A.", "" ], [ "Smyth", "Paul", "" ] ]

We readdress the question of whether any universal upper bound exists on the square mass m^2 of the lightest scalar around a supersymmetry breaking vacuum in generic N=2 gauged supergravity theories for a given gravitino mass m_3/2 and cosmological constant V. We review the known bounds which apply to theories with restricted matter content from a new perspective. We then extend these results to theories with both hyper and vector multiplets and a gauging involving only one generator, for which we show that such a bound exists for both V>0 and V<0. We finally argue that there is no bound for the same theories with a gauging involving two or more generators. These results imply that in N=2 supergravity theories metastable de Sitter vacua with V<<m^2_3/2 can only arise if at least two isometries are gauged, while those with V>>m^2_3/2 can also arise when a single isometry is gauged.

6.052368

6.517034

6.864471

6.073205

6.124858

5.945842

6.254088

6.220258

6.144525

6.898067

6.07398

6.029405

5.907037

5.828055

5.856858

5.846822

5.857778

5.933498

5.713318

6.002553

5.759875

0705.1322

E. Ragoucy

M. Mintchev and E. Ragoucy

Algebraic approach to multiple defects on the line and application to Casimir force

24 pages, 10 figures

J.Phys.A40:9515,2007

10.1088/1751-8113/40/31/025

LAPTH-1177/07

hep-th cond-mat.other math-ph math.MP

null

An algebraic framework for quantization in presence of arbitrary number of point-like defects on the line is developed. We consider a scalar field which interacts with the defects and freely propagates away of them. As an application we compute the Casimir force both at zero and finite temperature. We derive also the charge density in the Gibbs state of a complex scalar field with defects. The example of two delta-defects is treated in detail.

[ { "created": "Wed, 9 May 2007 16:40:27 GMT", "version": "v1" } ]

2008-11-26

[ [ "Mintchev", "M.", "" ], [ "Ragoucy", "E.", "" ] ]

An algebraic framework for quantization in presence of arbitrary number of point-like defects on the line is developed. We consider a scalar field which interacts with the defects and freely propagates away of them. As an application we compute the Casimir force both at zero and finite temperature. We derive also the charge density in the Gibbs state of a complex scalar field with defects. The example of two delta-defects is treated in detail.

15.091956

12.49344

13.308628

12.433508

12.835924

13.33298

11.924942

12.174112

11.240673

14.785428

11.593194

11.574563

12.708459

11.62202

11.893988

12.006402

11.536382

11.574713

11.648352

12.959948

11.518205

hep-th/9803218

Joao Barcelos Neto

R. Amorim and J. Barcelos-Neto

Field-antifield formalism in a non-Abelian theory with one and two form gauge fields coupled in a topological way

15 pages, Latex, final version to appear in Photon and Poincare group (Nova Science)

null

hep-th

null

We make a systematic development of the non-Abelian formulation of two-form gauge fields with topological coupling with the Yang-Mills one-form connection. An analysis of the gauge structure, reducibility conditions and physical degrees of freedom is presented. We employ the Batalin-Vilkovisky formalism to quantize the resulting theory.

[ { "created": "Thu, 26 Mar 1998 12:33:53 GMT", "version": "v1" }, { "created": "Tue, 23 Mar 1999 16:15:34 GMT", "version": "v2" } ]

2007-05-23

[ [ "Amorim", "R.", "" ], [ "Barcelos-Neto", "J.", "" ] ]

We make a systematic development of the non-Abelian formulation of two-form gauge fields with topological coupling with the Yang-Mills one-form connection. An analysis of the gauge structure, reducibility conditions and physical degrees of freedom is presented. We employ the Batalin-Vilkovisky formalism to quantize the resulting theory.

8.985454

8.229881

8.493347

7.587625

8.256269

8.234775

8.000254

8.146049

8.0659

9.362804

8.225003

8.039131

8.530963

7.849979

8.241724

7.843788

7.984164

7.678521

7.952951

8.707044

7.862416

0706.3078

Hajime Aoki

Index Theorem in Finite Noncommutative Geometry

Latex 4 pages, uses ptptex.cls, Based on talk given at 21st Nishinomiya-Yukawa Memorial Symposium on Theoretical Physics: Noncommutative Geometry and Quantum Spacetime in Physics, Japan, 11-15 Nov 2006

Prog.Theor.Phys.Suppl. 171 (2007) 228

10.1143/PTPS.171.228

SAGA-HE-235

hep-th hep-lat

null

Index theorem is formulated in noncommutative geometry with finite degrees of freedom by using Ginsparg-Wilson relation. It is extended to the case where the gauge symmetry is spontaneously broken. Dynamical analysis about topological aspects in gauge theory is also shown.

[ { "created": "Thu, 21 Jun 2007 06:08:18 GMT", "version": "v1" } ]

2009-11-13

[ [ "Aoki", "Hajime", "" ] ]

Index theorem is formulated in noncommutative geometry with finite degrees of freedom by using Ginsparg-Wilson relation. It is extended to the case where the gauge symmetry is spontaneously broken. Dynamical analysis about topological aspects in gauge theory is also shown.

14.957001

10.838936

10.550823

10.277827

9.858611

9.119723

9.762072

10.095429

9.231251

14.29444

10.326973

9.400361

10.073281

9.621404

9.892537

9.698675

10.318123

9.782586

9.876041

10.63815

10.091458

0911.3632

Steven Gubser

Steven S. Gubser, Fabio D. Rocha, and Pedro Talavera

Normalizable fermion modes in a holographic superconductor

17 pages, 5 figures

JHEP 1010:087,2010

10.1007/JHEP10(2010)087

PUPT-2316

hep-th

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

We consider fermions in a zero-temperature superconducting anti-de Sitter domain wall solution and find continuous bands of normal modes. These bands can be either partially filled or totally empty and gapped. We present a semi-classical argument which approximately captures the main features of the normal mode spectrum.

[ { "created": "Wed, 18 Nov 2009 19:12:14 GMT", "version": "v1" } ]

2010-10-28

[ [ "Gubser", "Steven S.", "" ], [ "Rocha", "Fabio D.", "" ], [ "Talavera", "Pedro", "" ] ]

We consider fermions in a zero-temperature superconducting anti-de Sitter domain wall solution and find continuous bands of normal modes. These bands can be either partially filled or totally empty and gapped. We present a semi-classical argument which approximately captures the main features of the normal mode spectrum.

18.36754

14.493137

16.084164

14.377853

15.519265

14.86277

13.132611

14.566604

14.567558

14.287661

13.788276

14.083183

15.122481

14.763085

15.075752

15.502667

14.801184

15.419221

14.762766

15.928683

15.555389

1902.00696

Farzin Safarzadeh

Farzin Safarzadeh-Maleki

Investigation of Zero-Modes for a Dynamical D$p$-Brane

15 pages, 1 table

Eur. Phys. J. C (2019) 79: 81

10.1140/epjc/s10052-019-6541-x

null

hep-th

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

In this article, we investigate zero-modes for a dynamical (rotating-moving) D$p$-brane, coupled to the electromagnetic and tachyonic background fields. This work is done by the boundary state methods, in three cases of bosonic and fermionic boundary states and superstring partition function. By analyzing the obtained zero-modes in either of the cases, interesting results will be obtained. Our findings demonstrate the importance of the zero-mode and its effects on the background fields and the defined internal properties of the described system.

[ { "created": "Sat, 2 Feb 2019 11:28:38 GMT", "version": "v1" } ]

2019-02-05

[ [ "Safarzadeh-Maleki", "Farzin", "" ] ]

In this article, we investigate zero-modes for a dynamical (rotating-moving) D$p$-brane, coupled to the electromagnetic and tachyonic background fields. This work is done by the boundary state methods, in three cases of bosonic and fermionic boundary states and superstring partition function. By analyzing the obtained zero-modes in either of the cases, interesting results will be obtained. Our findings demonstrate the importance of the zero-mode and its effects on the background fields and the defined internal properties of the described system.

19.162006

14.950743

19.950565

15.354943

15.323232

14.939904

14.038734

14.31606

14.447123

21.390854

15.606456

16.29343

16.57848

15.927579

16.736927

16.394482

16.119003

16.393229

16.116842

17.051971

16.337595

hep-th/0611071

Shin'ichi Nojiri

Shin'ichi Nojiri and Sergei D. Odintsov

Modified gravity and its reconstruction from the universe expansion history

LaTeX file, 24 pages, no figure, prepared for the proceedings of ERE 2006, minor corrections

J.Phys.Conf.Ser.66:012005,2007

10.1088/1742-6596/66/1/012005

null

hep-th astro-ph gr-qc

null

We develop the reconstruction program for the number of modified gravities: scalar-tensor theory, $f(R)$, $F(G)$ and string-inspired, scalar-Gauss-Bonnet gravity. The known (classical) universe expansion history is used for the explicit and successful reconstruction of some versions (of special form or with specific potentials) from all above modified gravities. It is demonstrated that cosmological sequence of matter dominance, decceleration-acceleration transition and acceleration era may always emerge as cosmological solutions of such theory. Moreover, the late-time dark energy FRW universe may have the approximate or exact $\Lambda$CDM form consistent with three years WMAP data. The principal possibility to extend this reconstruction scheme to include the radiation dominated era and inflation is briefly mentioned. Finally, it is indicated how even modified gravity which does not describe the matter-dominated epoch may have such a solution before acceleration era at the price of the introduction of compensating dark energy.

[ { "created": "Tue, 7 Nov 2006 00:03:47 GMT", "version": "v1" }, { "created": "Sat, 2 Dec 2006 09:51:17 GMT", "version": "v2" } ]

2010-04-06

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

We develop the reconstruction program for the number of modified gravities: scalar-tensor theory, $f(R)$, $F(G)$ and string-inspired, scalar-Gauss-Bonnet gravity. The known (classical) universe expansion history is used for the explicit and successful reconstruction of some versions (of special form or with specific potentials) from all above modified gravities. It is demonstrated that cosmological sequence of matter dominance, decceleration-acceleration transition and acceleration era may always emerge as cosmological solutions of such theory. Moreover, the late-time dark energy FRW universe may have the approximate or exact $\Lambda$CDM form consistent with three years WMAP data. The principal possibility to extend this reconstruction scheme to include the radiation dominated era and inflation is briefly mentioned. Finally, it is indicated how even modified gravity which does not describe the matter-dominated epoch may have such a solution before acceleration era at the price of the introduction of compensating dark energy.

18.184286

17.692303

16.557247

16.072077

16.226931

15.997632

18.14535

15.572284

16.553411

19.369909

17.185232

16.614552

17.064823

16.563128

17.334175

16.84901

17.703358

16.556648

16.823032

17.07893

17.177149

hep-th/0702074

Bahram Mashhoon

Nonlocal Electrodynamics of Accelerated Systems

10 pages

Phys.Lett.A366:545-549,2007

10.1016/j.physleta.2007.02.071

null

hep-th astro-ph gr-qc

null

Acceleration-induced nonlocality is discussed and a simple field theory of nonlocal electrodynamics is developed. The theory involves a pair of real parameters that are to be determined from observation. The implications of this theory for the phenomenon of helicity-rotation coupling are briefly examined.

[ { "created": "Fri, 9 Feb 2007 19:31:54 GMT", "version": "v1" } ]

2008-11-26

[ [ "Mashhoon", "Bahram", "" ] ]

Acceleration-induced nonlocality is discussed and a simple field theory of nonlocal electrodynamics is developed. The theory involves a pair of real parameters that are to be determined from observation. The implications of this theory for the phenomenon of helicity-rotation coupling are briefly examined.

16.394663

18.94713

13.879314

14.685549

14.508243

15.457973

16.324476

13.702379

15.680996

13.228456

15.009496

13.634746

13.967605

13.589727

13.710178

13.139056

13.35004

13.170216

13.461965

13.675039

15.575388

1804.07585

Thomas Mertens

Andreas Blommaert, Thomas G. Mertens, Henri Verschelde

Edge Dynamics from the Path Integral: Maxwell and Yang-Mills

50 pages, v2: typos corrected and references added, matches published version

JHEP 1811 (2018) 080

10.1007/JHEP11(2018)080

null

hep-th

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

We derive an action describing edge dynamics on interfaces for gauge theories (Maxwell and Yang-Mills) using the path integral. The canonical structure of the edge theory is deduced and the thermal partition function calculated. We test the edge action in several applications. For Maxwell in Rindler space, we recover earlier results, now embedded in a dynamical canonical framework. A second application is 2d Yang-Mills theory where the boundary action becomes just the particle-on-a-group action. Correlators of boundary-anchored Wilson lines in 2d Yang-Mills are matched with, and identified as correlators of bilocal operators in the particle-on-a-group edge model.

[ { "created": "Fri, 20 Apr 2018 12:56:53 GMT", "version": "v1" }, { "created": "Tue, 4 Dec 2018 10:52:26 GMT", "version": "v2" } ]

2018-12-05

[ [ "Blommaert", "Andreas", "" ], [ "Mertens", "Thomas G.", "" ], [ "Verschelde", "Henri", "" ] ]

We derive an action describing edge dynamics on interfaces for gauge theories (Maxwell and Yang-Mills) using the path integral. The canonical structure of the edge theory is deduced and the thermal partition function calculated. We test the edge action in several applications. For Maxwell in Rindler space, we recover earlier results, now embedded in a dynamical canonical framework. A second application is 2d Yang-Mills theory where the boundary action becomes just the particle-on-a-group action. Correlators of boundary-anchored Wilson lines in 2d Yang-Mills are matched with, and identified as correlators of bilocal operators in the particle-on-a-group edge model.

14.863008

14.334346

15.87171

12.32774

15.347152

13.88394

14.503643

13.375702

13.534369

16.529394

13.354586

13.409796

14.152198

12.913639

13.847721

13.811342

13.520793

13.223938

13.156864

13.783846

13.629395

1301.6444

Dagoberto Malagon-Morejon DMM

Gabriel German, Alfredo Herrera-Aguilar, Dagoberto Malagon-Morejon, Israel Quiros and Roldao da Rocha

Study of field fluctuations and their localization in a thick braneworld generated by gravity non-minimally coupled to a scalar field with the Gauss-Bonnet term

24 pages in latex, 5 figures

Phys. Rev. D 89, 026004 (2014)

10.1103/PhysRevD.89.026004

null

hep-th

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

In this work we study a scenario with a warped 5D smooth braneworld with 4D Minkowski geometry builded from bulk scalar matter non-minimally coupled to gravity with an additional Gauss-Bonnet term. We present exact solutions for the full braneworld configuration in contrast to previous results where only approximate solutions were constructed due to the highly non-linear character of the relevant differential equations. These solutions allow us to study the necessary conditions for the finiteness of the 4D Planck mass and additionally, enables us to perform a more rigorous analysis of 4D gravity localization compared to approximate approaches. It is remarkable that all the constructed braneworld configurations lead to standard 4D gravity localization since they contain a localized massless tensor mode (the graviton). We also analyze the localization properties of scalar, vector and tensor fluctuation modes for the constructed field configurations. We show that for the considered backgrounds, only the massless tensor mode, i.e. the 4D graviton, is localized on the brane, while the vector and scalar modes are not confined to the brane.

[ { "created": "Mon, 28 Jan 2013 04:41:49 GMT", "version": "v1" }, { "created": "Sat, 9 Mar 2013 23:20:39 GMT", "version": "v2" }, { "created": "Sun, 2 Feb 2014 05:07:08 GMT", "version": "v3" } ]

2014-02-04

[ [ "German", "Gabriel", "" ], [ "Herrera-Aguilar", "Alfredo", "" ], [ "Malagon-Morejon", "Dagoberto", "" ], [ "Quiros", "Israel", "" ], [ "da Rocha", "Roldao", "" ] ]

In this work we study a scenario with a warped 5D smooth braneworld with 4D Minkowski geometry builded from bulk scalar matter non-minimally coupled to gravity with an additional Gauss-Bonnet term. We present exact solutions for the full braneworld configuration in contrast to previous results where only approximate solutions were constructed due to the highly non-linear character of the relevant differential equations. These solutions allow us to study the necessary conditions for the finiteness of the 4D Planck mass and additionally, enables us to perform a more rigorous analysis of 4D gravity localization compared to approximate approaches. It is remarkable that all the constructed braneworld configurations lead to standard 4D gravity localization since they contain a localized massless tensor mode (the graviton). We also analyze the localization properties of scalar, vector and tensor fluctuation modes for the constructed field configurations. We show that for the considered backgrounds, only the massless tensor mode, i.e. the 4D graviton, is localized on the brane, while the vector and scalar modes are not confined to the brane.

8.285561

7.037457

8.109561

7.170221

7.471048

7.426424

7.669934

6.929361

7.117969

8.350588

7.31351

7.611743

7.728645

7.489136

7.961929

7.675543

7.701156

7.595556

7.422661

7.965069

7.525713

1906.09750

Jialun Ping

Jing Zhou, Jialun Ping

Geometric Engineering and Almost Mathieu Operator

3 pages

null

hep-th cond-mat.mes-hall

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

The type IIA string theory on a non-compact Calabi-Yau geometry known as the local $\mathbb{P}^{1} \times \mathbb{P}^{1}$ gives rise to five-dimensional N =1 supersymmetric SU(2) gauge theory compactified on a circle, known as geometric engineering. So it is necessary to study the $\mathbb{P}^{1} \times \mathbb{P}^{1}$ in details. Since the spectrum of the local $\mathbb{P}^{1} \times \mathbb{P}^{1}$ can be written as $E=R^{2}\left(\mathrm{e}^{p}+\mathrm{e}^{-p}\right)+\mathrm{e}^{x}+\mathrm{e}^{-x}$, then by the result of almost Mathieu operator, we show that: (1) when $R^{2}<1$, the spectrum is absolutely continuous which meanings the medium is conductor. (2) when $1\le R^{2}<e^{\beta}$, the spectrum is singular continuous known as quantum Hall effect. (3) when $R^{2}>e^{\beta}$, the spectrum is almost surely pure point and exhibits Anderson localization. In other words, there are two phase transition points which one is $R^{2}=1$ and the other one is $R^{2}=e^{\beta}$.

[ { "created": "Mon, 24 Jun 2019 07:04:45 GMT", "version": "v1" } ]

2019-06-25

[ [ "Zhou", "Jing", "" ], [ "Ping", "Jialun", "" ] ]

The type IIA string theory on a non-compact Calabi-Yau geometry known as the local $\mathbb{P}^{1} \times \mathbb{P}^{1}$ gives rise to five-dimensional N =1 supersymmetric SU(2) gauge theory compactified on a circle, known as geometric engineering. So it is necessary to study the $\mathbb{P}^{1} \times \mathbb{P}^{1}$ in details. Since the spectrum of the local $\mathbb{P}^{1} \times \mathbb{P}^{1}$ can be written as $E=R^{2}\left(\mathrm{e}^{p}+\mathrm{e}^{-p}\right)+\mathrm{e}^{x}+\mathrm{e}^{-x}$, then by the result of almost Mathieu operator, we show that: (1) when $R^{2}<1$, the spectrum is absolutely continuous which meanings the medium is conductor. (2) when $1\le R^{2}<e^{\beta}$, the spectrum is singular continuous known as quantum Hall effect. (3) when $R^{2}>e^{\beta}$, the spectrum is almost surely pure point and exhibits Anderson localization. In other words, there are two phase transition points which one is $R^{2}=1$ and the other one is $R^{2}=e^{\beta}$.

4.385428

4.519577

4.424921

4.162931

4.591543

4.463989

4.425096

4.558573

4.209217

5.042583

4.144539

4.194497

4.316735

4.13274

4.166989

4.286443

4.148047

4.248065

4.237401

4.299141

4.129975

hep-th/0210108

Sayan Kar

A simple mechanical analog of the field theory of tachyon matter

2 pages (RevTex4, twocolumn format), references added

null

hep-th

null

In this brief note we show that the zero dimensional version of the field theory of tachyon matter proposed by Sen, provides an action integral formulation for the motion of a particle in the presence of Newtonian gravity and nonlinear damping (quadratic in velocity).

[ { "created": "Fri, 11 Oct 2002 11:31:36 GMT", "version": "v1" }, { "created": "Fri, 18 Oct 2002 11:38:16 GMT", "version": "v2" } ]

2007-05-23

[ [ "Kar", "Sayan", "" ] ]

In this brief note we show that the zero dimensional version of the field theory of tachyon matter proposed by Sen, provides an action integral formulation for the motion of a particle in the presence of Newtonian gravity and nonlinear damping (quadratic in velocity).

15.660163

10.867576

11.634971

11.185913

10.326902

13.003638

11.663116

13.332936

11.756808

13.861126

10.806844

11.292377

12.194796

11.018164

11.3637

10.877094

11.76519

11.390655

11.538738

12.083451

11.555114

0908.3918

Takashi Torii

Nobuyoshi Ohta and Takashi Torii

Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory in Various Dimensions IV - Topological Black Holes with and without Cosmological Term

28 pages, 11 figures, 1 table, typos added

Prog.Theor.Phys.122:1477-1500,2009

10.1143/PTP.122.1477

KU-TP 033

hep-th gr-qc

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

We study black hole solutions in the Einstein gravity with Gauss-Bonnet term, the dilaton and a positive "cosmological constant" in various dimensions. Physically meaningful black holes with a positive cosmological term are obtained only for those in static spacetime with $(D-2)$-dimensional hyperbolic space of negative curvature and $D>4$. We construct such black hole solutions of various masses numerically in $D=5,6$ and 10 dimensional spacetime and discuss their properties. In spite of the positive cosmological constant the spacetime approach anti-de Sitter spacetime asymptotically. The black hole solutions exist for a certain range of the horizon radius, i.e., there are lower and upper bounds for the size of black holes. We also argue that it is quite plausible that there is no black hole solution for hyperbolic space in the case of no cosmological constant.

[ { "created": "Wed, 26 Aug 2009 23:57:25 GMT", "version": "v1" }, { "created": "Wed, 30 Sep 2009 02:36:21 GMT", "version": "v2" } ]

2014-11-20

[ [ "Ohta", "Nobuyoshi", "" ], [ "Torii", "Takashi", "" ] ]

We study black hole solutions in the Einstein gravity with Gauss-Bonnet term, the dilaton and a positive "cosmological constant" in various dimensions. Physically meaningful black holes with a positive cosmological term are obtained only for those in static spacetime with $(D-2)$-dimensional hyperbolic space of negative curvature and $D>4$. We construct such black hole solutions of various masses numerically in $D=5,6$ and 10 dimensional spacetime and discuss their properties. In spite of the positive cosmological constant the spacetime approach anti-de Sitter spacetime asymptotically. The black hole solutions exist for a certain range of the horizon radius, i.e., there are lower and upper bounds for the size of black holes. We also argue that it is quite plausible that there is no black hole solution for hyperbolic space in the case of no cosmological constant.

6.932847

6.71123

6.348178

6.096797

6.817529

6.973413

6.829973

6.395517

6.609022

7.157673

6.37664

6.602765

6.65313

6.427533

6.463626

6.475651

6.468191

6.409762

6.389718

6.400555

6.515636

hep-th/9411209

Kenneth S. Clubok

M.B. Halpern

Irrational Conformal Field Theory on the Sphere and the Torus

LaTex file, 16 pages, Invited talk at the XIth International Congress of Mathematical Physics, Paris, July 18-23, 1994, One misspelled name corrected

null

UCB-PTH-94/33, LBL-36437

hep-th

null

I review the foundations of irrational conformal field theory (ICFT), which includes rational conformal field theory as a small subspace. Highlights of the review include the Virasoro master equation and the generalized Knizhnik-Zamolodchikov equations for the correlators of ICFT on the sphere and the torus.

[ { "created": "Tue, 29 Nov 1994 01:50:05 GMT", "version": "v1" }, { "created": "Wed, 30 Nov 1994 05:30:10 GMT", "version": "v2" } ]

2008-02-03

[ [ "Halpern", "M. B.", "" ] ]

I review the foundations of irrational conformal field theory (ICFT), which includes rational conformal field theory as a small subspace. Highlights of the review include the Virasoro master equation and the generalized Knizhnik-Zamolodchikov equations for the correlators of ICFT on the sphere and the torus.

6.008936

4.412765

6.666537

4.785889

5.301539

5.145127

4.966105

4.571313

4.736501

6.923385

4.993874

5.043153

5.393

4.907782

5.028572

4.919965

4.945685

4.882075

4.930191

5.241663

4.97318

2006.09346

Jan Troost

Songyuan Li and Jan Troost

The Topological Symmetric Orbifold

33 pages. v2: Remarks on proof added

null

10.1007/JHEP10(2020)201

null

hep-th

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

We analyse topological orbifold conformal field theories on the symmetric product of a complex surface M. By exploiting the mathematics literature we show that a canonical quotient of the operator ring has structure constants given by Hurwitz numbers. This proves a conjecture in the physics literature on extremal correlators. Moreover, it allows to leverage results on the combinatorics of the symmetric group to compute more structure constants explicitly. We recall that the full orbifold chiral ring is given by a symmetric orbifold Frobenius algebra. This construction enables the computation of topological genus zero and genus one correlators, and to prove the vanishing of higher genus contributions. The efficient description of all topological correlators sets the stage for a proof of a topological AdS/CFT correspondence. Indeed, we propose a concrete mathematical incarnation of the proof, relating Gromow-Witten theory in the bulk to the quantum cohomology of the Hilbert scheme on the boundary.

[ { "created": "Tue, 16 Jun 2020 17:39:27 GMT", "version": "v1" }, { "created": "Wed, 24 Jun 2020 15:30:03 GMT", "version": "v2" } ]

2020-12-02

[ [ "Li", "Songyuan", "" ], [ "Troost", "Jan", "" ] ]

We analyse topological orbifold conformal field theories on the symmetric product of a complex surface M. By exploiting the mathematics literature we show that a canonical quotient of the operator ring has structure constants given by Hurwitz numbers. This proves a conjecture in the physics literature on extremal correlators. Moreover, it allows to leverage results on the combinatorics of the symmetric group to compute more structure constants explicitly. We recall that the full orbifold chiral ring is given by a symmetric orbifold Frobenius algebra. This construction enables the computation of topological genus zero and genus one correlators, and to prove the vanishing of higher genus contributions. The efficient description of all topological correlators sets the stage for a proof of a topological AdS/CFT correspondence. Indeed, we propose a concrete mathematical incarnation of the proof, relating Gromow-Witten theory in the bulk to the quantum cohomology of the Hilbert scheme on the boundary.

11.334422

11.420558

13.33451

12.001217

12.325125

12.704575

12.256815

11.852015

11.234179

14.357395

11.785257

11.378719

12.277388

11.607931

11.917388

11.691901

11.695292

11.985961

11.650579

12.158076

12.034895

hep-th/0112064

Mohammad Sheikh-Jabbari

K. Dasgupta, M. M. Sheikh-Jabbari

Noncommutative Dipole Field Theories

26 pages, no figures, harvmac tex, v2: a typo corrected, the version to appear in JHEP

JHEP 0202:002,2002

10.1088/1126-6708/2002/02/002

SU-ITP-01/51

hep-th hep-ph

null

Assigning an intrinsic constant dipole moment to any field, we present a new kind of associative star product, the dipole star product, which was first introduced in [hep-th/0008030]. We develop the mathematics necessary to study the corresponding noncommutative dipole field theories. These theories are sensible non-local field theories with no IR/UV mixing. In addition we discuss that the Lorentz symmetry in these theories is ``softly'' broken and in some particular cases the CP (and even CPT) violation in these theories may become observable. We show that a non-trivial dipole extension of N=4, D=4 gauge theories can only be obtained if we break the SU(4) R (and hence super)-symmetry. Such noncommutative dipole extensions, which in the maximal supersymmetric cases are N=2 gauge theories with matter, can be embedded in string theory as the theories on D3-branes probing a smooth Taub-NUT space with three form fluxes turned on or alternatively by probing a space with R-symmetry twists. We show the equivalences between the two approaches and also discuss the M-theory realization.

[ { "created": "Sun, 9 Dec 2001 23:35:07 GMT", "version": "v1" }, { "created": "Tue, 5 Feb 2002 01:59:59 GMT", "version": "v2" } ]

2009-11-07

[ [ "Dasgupta", "K.", "" ], [ "Sheikh-Jabbari", "M. M.", "" ] ]

Assigning an intrinsic constant dipole moment to any field, we present a new kind of associative star product, the dipole star product, which was first introduced in [hep-th/0008030]. We develop the mathematics necessary to study the corresponding noncommutative dipole field theories. These theories are sensible non-local field theories with no IR/UV mixing. In addition we discuss that the Lorentz symmetry in these theories is ``softly'' broken and in some particular cases the CP (and even CPT) violation in these theories may become observable. We show that a non-trivial dipole extension of N=4, D=4 gauge theories can only be obtained if we break the SU(4) R (and hence super)-symmetry. Such noncommutative dipole extensions, which in the maximal supersymmetric cases are N=2 gauge theories with matter, can be embedded in string theory as the theories on D3-branes probing a smooth Taub-NUT space with three form fluxes turned on or alternatively by probing a space with R-symmetry twists. We show the equivalences between the two approaches and also discuss the M-theory realization.

11.52038

11.313579

12.885398

10.234211

10.447663

10.673447

10.752072

11.025031

10.12145

13.082045

10.472325

10.171375

11.255548

10.476223

10.396855

10.205241

10.360039

10.393241

10.459337

10.881198

10.830215

1511.03653

Andrzej Borowiec

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

Quantum deformations of D=4 Euclidean, Lorentz, Kleinian and quaternionic o^*(4) symmetries in unified o(4;C) setting

13 pages; typos corrected. v3 matches version published in PLB

Phys.Lett. B754 (2016) 176-181

10.1016/j.physletb.2016.01.016

null

hep-th

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

We employ new calculational technique and present complete list of classical $r$-matrices for $D=4$ complex homogeneous orthogonal Lie algebra $\mathfrak{o}(4;\mathbb{C})$, the rotational symmetry of four-dimensional complex space-time. Further applying reality conditions we obtain the classical $r$-matrices for all possible real forms of $\mathfrak{o}(4;\mathbb{C})$: Euclidean $\mathfrak{o}(4)$, Lorentz $\mathfrak{o}(3,1)$, Kleinian $\mathfrak{o}(2,2)$ and quaternionic $\mathfrak{o}^{\star}(4)$ Lie algebras. For $\mathfrak{o}(3,1)$ we get known four classical $D=4$ Lorentz $r$-matrices, but for other real Lie algebras (Euclidean, Kleinian, quaternionic) we provide new results and mention some applications.

[ { "created": "Wed, 11 Nov 2015 20:56:22 GMT", "version": "v1" }, { "created": "Sun, 29 Nov 2015 19:11:40 GMT", "version": "v2" }, { "created": "Thu, 7 Apr 2016 10:22:40 GMT", "version": "v3" } ]

2016-04-08

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

We employ new calculational technique and present complete list of classical $r$-matrices for $D=4$ complex homogeneous orthogonal Lie algebra $\mathfrak{o}(4;\mathbb{C})$, the rotational symmetry of four-dimensional complex space-time. Further applying reality conditions we obtain the classical $r$-matrices for all possible real forms of $\mathfrak{o}(4;\mathbb{C})$: Euclidean $\mathfrak{o}(4)$, Lorentz $\mathfrak{o}(3,1)$, Kleinian $\mathfrak{o}(2,2)$ and quaternionic $\mathfrak{o}^{\star}(4)$ Lie algebras. For $\mathfrak{o}(3,1)$ we get known four classical $D=4$ Lorentz $r$-matrices, but for other real Lie algebras (Euclidean, Kleinian, quaternionic) we provide new results and mention some applications.

4.586078

4.31328

5.171347

4.513484

4.299839

4.692923

4.627975

4.688101

4.35288

5.248689

4.170145

4.432065

4.56032

4.537636

4.571438

4.515576

4.398302

4.511656

4.556127

4.65669

4.413416

1210.2444

Gabriel Menezes

E. Arias, G. Krein, G. Menezes and N. F. Svaiter

Relativistic Bose-Einstein condensation with disorder

15 pages

null

hep-th cond-mat.stat-mech

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

We investigate the thermodynamics of a self-interacting relativistic charged scalar field in the presence of weak disorder. We consider quenched disorder which couples linearly to the mass of the scalar field. After performing noise averages over the free energy of the system, we find that disorder increases the mean-field critical temperature for Bose-Einstein condensation at finite density. The effect of disorder on the temperature dependence of the chemical potential for a fixed charge density is investigated. Significant differences from the mean-field temperature dependence of the chemical potential are observed as the strength of the noise intensity increases. Finally, the temperature dependence of the chemical potential with fixed total charge and entropy is investigated. It is found that there is no Bose-Einstein condensation for a fixed charge to entropy ratio in the presence of weak disorder. The possible relevance of the findings in the present paper in different areas is discussed.

[ { "created": "Tue, 9 Oct 2012 00:14:18 GMT", "version": "v1" }, { "created": "Sun, 26 Oct 2014 05:34:37 GMT", "version": "v2" } ]

2014-10-28

[ [ "Arias", "E.", "" ], [ "Krein", "G.", "" ], [ "Menezes", "G.", "" ], [ "Svaiter", "N. F.", "" ] ]

We investigate the thermodynamics of a self-interacting relativistic charged scalar field in the presence of weak disorder. We consider quenched disorder which couples linearly to the mass of the scalar field. After performing noise averages over the free energy of the system, we find that disorder increases the mean-field critical temperature for Bose-Einstein condensation at finite density. The effect of disorder on the temperature dependence of the chemical potential for a fixed charge density is investigated. Significant differences from the mean-field temperature dependence of the chemical potential are observed as the strength of the noise intensity increases. Finally, the temperature dependence of the chemical potential with fixed total charge and entropy is investigated. It is found that there is no Bose-Einstein condensation for a fixed charge to entropy ratio in the presence of weak disorder. The possible relevance of the findings in the present paper in different areas is discussed.

7.372693

7.862675

7.1566

7.227617

7.413901

7.263202

7.356807

7.55076

7.236496

7.800254

7.474053

7.104601

7.206347

7.107364

7.045463

7.141319

7.151367

7.160371

7.19948

7.162455

7.011207

1207.2943

Norihiro Iizuka

Norihiro Iizuka, Kengo Maeda

Towards the Lattice Effects on the Holographic Superconductor

24 pages, 24 figures. v2: minor corrections

null

10.1007/JHEP11(2012)117

null

hep-th cond-mat.supr-con

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

We study the lattice effects on the simple holographic toy model; massive U(1) gauge theory for the bulk action. The mass term is for the U(1) gauge symmetry breaking in the bulk. Without the lattice, the AC conductivity of this model shows similar results to the holographic superconductor with the energy gap. On this model, we introduce the lattice effects, which induce the periodic potential and break the translational invariance of the boundary field theory. Without the lattice, due to the translational invariance and the mass term, there is a delta function peak at zero frequency on the AC conductivity. We study how this delta function peak is influenced by the lattice effects, which we introduce perturbatively. In the probe limit, we evaluate the perturbative corrections to the conductivities at very small frequency limit. We find that the delta function peak remains, even after the lattice effects are introduced, although its weight reduces perturbatively. We also study the lattice wavenumber dependence of this weight. Our result suggests that in the U(1) symmetry breaking phase, the delta function peak is stable against the lattice effects at least perturbatively.

[ { "created": "Thu, 12 Jul 2012 12:46:16 GMT", "version": "v1" }, { "created": "Tue, 31 Jul 2012 20:22:45 GMT", "version": "v2" } ]

2015-06-05

[ [ "Iizuka", "Norihiro", "" ], [ "Maeda", "Kengo", "" ] ]

We study the lattice effects on the simple holographic toy model; massive U(1) gauge theory for the bulk action. The mass term is for the U(1) gauge symmetry breaking in the bulk. Without the lattice, the AC conductivity of this model shows similar results to the holographic superconductor with the energy gap. On this model, we introduce the lattice effects, which induce the periodic potential and break the translational invariance of the boundary field theory. Without the lattice, due to the translational invariance and the mass term, there is a delta function peak at zero frequency on the AC conductivity. We study how this delta function peak is influenced by the lattice effects, which we introduce perturbatively. In the probe limit, we evaluate the perturbative corrections to the conductivities at very small frequency limit. We find that the delta function peak remains, even after the lattice effects are introduced, although its weight reduces perturbatively. We also study the lattice wavenumber dependence of this weight. Our result suggests that in the U(1) symmetry breaking phase, the delta function peak is stable against the lattice effects at least perturbatively.

6.787949

6.361132

7.474679

6.432499

6.955091

6.404886

6.823975

6.413866

6.578282

7.249576

6.386465

6.803631

6.940108

6.605386

6.68465

6.711439

6.542106

6.659364

6.428556

6.668865

6.572654

1008.4133

Thomas Grimm

Thomas W. Grimm

The N=1 effective action of F-theory compactifications

59 pages, v2: references added, typos corrected

Nucl.Phys.B845:48-92,2011

10.1016/j.nuclphysb.2010.11.018

null

hep-th

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

The four-dimensional N=1 effective action of F-theory compactified on a Calabi-Yau fourfold is studied by lifting a three-dimensional M-theory compactification. The lift is performed by using T-duality realized via a Legendre transform on the level of the effective action, and the application of vector-scalar duality in three dimensions. The leading order Kahler potential and gauge-kinetic coupling functions are determined. In these compactifications two sources of gauge theories are present. Space-time filling non-Abelian seven-branes arise at the singularities of the elliptic fibration of the fourfold. Their couplings are included by resolving the singular fourfold. Generically a U(1)^r gauge theory arises from the R-R bulk sector if the base of the elliptically fibered Calabi-Yau fourfold supports 2r harmonic three-forms. The gauge coupling functions depend holomorphically on the complex structure moduli of the fourfold, comprising closed and open string degrees of freedom. The four-dimensional electro-magnetic duality is studied in the three-dimensional effective theory obtained after M-theory compactification. A discussion of matter couplings transforming in the adjoint of the seven-brane gauge group is included.

[ { "created": "Tue, 24 Aug 2010 20:00:05 GMT", "version": "v1" }, { "created": "Sun, 24 Oct 2010 23:10:19 GMT", "version": "v2" } ]

2011-01-04

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

The four-dimensional N=1 effective action of F-theory compactified on a Calabi-Yau fourfold is studied by lifting a three-dimensional M-theory compactification. The lift is performed by using T-duality realized via a Legendre transform on the level of the effective action, and the application of vector-scalar duality in three dimensions. The leading order Kahler potential and gauge-kinetic coupling functions are determined. In these compactifications two sources of gauge theories are present. Space-time filling non-Abelian seven-branes arise at the singularities of the elliptic fibration of the fourfold. Their couplings are included by resolving the singular fourfold. Generically a U(1)^r gauge theory arises from the R-R bulk sector if the base of the elliptically fibered Calabi-Yau fourfold supports 2r harmonic three-forms. The gauge coupling functions depend holomorphically on the complex structure moduli of the fourfold, comprising closed and open string degrees of freedom. The four-dimensional electro-magnetic duality is studied in the three-dimensional effective theory obtained after M-theory compactification. A discussion of matter couplings transforming in the adjoint of the seven-brane gauge group is included.

8.182861

8.174924

9.525276

7.852446

8.245905

8.023973

8.459599

8.304729

7.80744

10.010666

8.005994

8.129144

8.613086

7.934847

8.095345

8.225581

8.221394

7.943529

8.06718

8.934741

8.020115

1507.04870

Mike Blake

Magnetotransport from the fluid/gravity correspondence

16 pages + appendix and references, v2: references added

null

DAMTP-2015-37

hep-th cond-mat.str-el

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

We continue our construction of a hydrodynamical description of a holographic model with broken translation invariance. Using the fluid/gravity correspondence we derive the constitutive relations of the boundary theory in the presence of a magnetic field. This allows us to obtain novel results for the low-frequency magnetothermoelectric response coefficients. We discuss the DC limit of our hydrodynamics in detail, and show that our approach is equivalent to the `horizon-fluid' of Donos and Gauntlett.

[ { "created": "Fri, 17 Jul 2015 08:15:57 GMT", "version": "v1" }, { "created": "Thu, 13 Aug 2015 10:52:21 GMT", "version": "v2" } ]

2015-08-14

[ [ "Blake", "Mike", "" ] ]

We continue our construction of a hydrodynamical description of a holographic model with broken translation invariance. Using the fluid/gravity correspondence we derive the constitutive relations of the boundary theory in the presence of a magnetic field. This allows us to obtain novel results for the low-frequency magnetothermoelectric response coefficients. We discuss the DC limit of our hydrodynamics in detail, and show that our approach is equivalent to the `horizon-fluid' of Donos and Gauntlett.

8.333778

6.939355

9.161843

6.356366

7.08377

6.598849

6.833977

6.721505

6.467759

9.962137

6.553905

6.9057

8.182066

7.407801

7.285714

7.065461

7.234421

6.929602

7.369314

7.762626

6.886751

hep-th/0009155

Neil D. Lambert

N.D. Lambert and I. Sachs

The Low Energy Dynamics of Non-BPS Branes

6 pages and 3 figures, JHEP.cls. Talk given at the Conference "Nonperturbative Quantum Effects 2000", Paris

null

hep-th

null

In this talk we will discuss the low energy dynamics of non-BPS branes constructed as stable brane/anti-brane pairs at an orbifold. In particular we will determine the effective field theory and compare its predictions with those of the full open string theory. While the position and vector degrees of freedom have the familiar form found in supersymmetric gauge theories, the massless modes orginating in the tachyonic sector display novel non-commuting flat directions. We will show that these flat directions persist to al orders in alpha'. Finally we will briefly report on the open string loop corrections.

[ { "created": "Wed, 20 Sep 2000 15:44:22 GMT", "version": "v1" }, { "created": "Mon, 16 Oct 2000 16:20:36 GMT", "version": "v2" } ]

2007-05-23

[ [ "Lambert", "N. D.", "" ], [ "Sachs", "I.", "" ] ]

In this talk we will discuss the low energy dynamics of non-BPS branes constructed as stable brane/anti-brane pairs at an orbifold. In particular we will determine the effective field theory and compare its predictions with those of the full open string theory. While the position and vector degrees of freedom have the familiar form found in supersymmetric gauge theories, the massless modes orginating in the tachyonic sector display novel non-commuting flat directions. We will show that these flat directions persist to al orders in alpha'. Finally we will briefly report on the open string loop corrections.

14.043143

12.282924

15.802341

13.287538

13.605757

13.741991

13.537876

13.573919

13.315956

15.359506

13.187613

12.749766

13.642347

13.231047

13.281957

13.319262

12.637069

13.391568

13.118869

14.291363

13.318128

hep-th/9601031

Ofer Megged

On the Composition of Gauge Structures

Few elaborations are added to section 4 and section 5. To be published in Journal of Physics A: Mathematical and General. 21 pages

J.Phys.A29:3233-3246,1996

10.1088/0305-4470/29/12/027

TAUP 2314-96

hep-th dg-ga math.DG

null

A formulation for a non-trivial composition of two classical gauge structures is given: Two parent gauge structures of a common base space are synthesized so as to obtain a daughter structure which is fundamental by itself. The model is based on a pair of related connections that take their values in the product space of the corresponding Lie algebras. The curvature, the covariant exterior derivatives and the associated structural identities, all get contributions from both gauge groups. The various induced structures are classified into those whose composition is given just by trivial means, and those which possess an irreducible nature. The pure irreducible piece, in particular, generates a complete super-space of ghosts with an attendant set of super-BRST variation laws, both of which are purely of a geometrical origin.

[ { "created": "Tue, 9 Jan 1996 11:35:48 GMT", "version": "v1" }, { "created": "Thu, 2 May 1996 10:09:02 GMT", "version": "v2" } ]

2008-11-26

[ [ "Megged", "Ofer", "" ] ]

A formulation for a non-trivial composition of two classical gauge structures is given: Two parent gauge structures of a common base space are synthesized so as to obtain a daughter structure which is fundamental by itself. The model is based on a pair of related connections that take their values in the product space of the corresponding Lie algebras. The curvature, the covariant exterior derivatives and the associated structural identities, all get contributions from both gauge groups. The various induced structures are classified into those whose composition is given just by trivial means, and those which possess an irreducible nature. The pure irreducible piece, in particular, generates a complete super-space of ghosts with an attendant set of super-BRST variation laws, both of which are purely of a geometrical origin.

22.341497

27.262774

23.209501

21.195469

22.931726

22.155703

25.054945

21.515406

21.183897

21.7418

21.62044

21.577633

20.652372

20.682217

21.402679

21.240437

21.883558

20.823362

21.233248

21.208344

20.609337

1611.00380

Lorenzo Di Pietro

Lorenzo Di Pietro, Masazumi Honda

Cardy Formula for 4d SUSY Theories and Localization

43 pages, v2: references added, changed slightly discussion in section 5

null

10.1007/JHEP04(2017)055

null

hep-th

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

We study 4d $\mathcal{N}=1$ supersymmetric theories on a compact Euclidean manifold of the form $S^1 \times\mathcal{M}_3$. Partition functions of gauge theories on this background can be computed using localization, and explicit formulas have been derived for different choices of the compact manifold $\mathcal{M}_3$. Taking the limit of shrinking $S^1$, we present a general formula for the limit of the localization integrand, derived by simple effective theory considerations, generalizing the result of arXiv:1512.03376. The limit is given in terms of an effective potential for the holonomies around the $S^1$, whose minima determine the asymptotic behavior of the partition function. If the potential is minimized in the origin, where it vanishes, the partition function has a Cardy-like behavior fixed by $\mathrm{Tr}(R)$, while a nontrivial minimum gives a shift in the coefficient. In all the examples that we consider, the origin is a minimum if $\mathrm{Tr}(R) \leq 0$.

[ { "created": "Tue, 1 Nov 2016 20:43:00 GMT", "version": "v1" }, { "created": "Thu, 5 Jan 2017 13:25:19 GMT", "version": "v2" } ]

2017-05-24

[ [ "Di Pietro", "Lorenzo", "" ], [ "Honda", "Masazumi", "" ] ]

We study 4d $\mathcal{N}=1$ supersymmetric theories on a compact Euclidean manifold of the form $S^1 \times\mathcal{M}_3$. Partition functions of gauge theories on this background can be computed using localization, and explicit formulas have been derived for different choices of the compact manifold $\mathcal{M}_3$. Taking the limit of shrinking $S^1$, we present a general formula for the limit of the localization integrand, derived by simple effective theory considerations, generalizing the result of arXiv:1512.03376. The limit is given in terms of an effective potential for the holonomies around the $S^1$, whose minima determine the asymptotic behavior of the partition function. If the potential is minimized in the origin, where it vanishes, the partition function has a Cardy-like behavior fixed by $\mathrm{Tr}(R)$, while a nontrivial minimum gives a shift in the coefficient. In all the examples that we consider, the origin is a minimum if $\mathrm{Tr}(R) \leq 0$.

5.805834

6.070906

6.524334

5.693581

6.49887

5.837933

5.99238

6.193311

5.890676

6.626662

5.679101

5.533161

5.94775

5.725877

5.760097

5.571017

5.552994

5.603716

5.445767

5.947405

5.569927

hep-th/0505149

Alessio Marrani

Fabio Cardone, Alessio Marrani, Roberto Mignani

A new pseudo-Kaluza-Klein scheme for geometrical description of interactions

51 pages. To be published in a monography on higher-dimensional relativity theories, Nova Science (~ September 2005)

null

hep-th

null

We illustrate the main features of a new Kaluza-Klein-like scheme (Deformed Relativity in five dimensions). It is based on a five-dimensional Riemannian space in which the four-dimensional space-time metric is deformed (i.e. it depends on the energy) and energy plays the role of the fifth dimension. We review the solutions of the five-dimensional Einstein equations in vacuum and the geodetic equations in some cases of physical relevance. The Killing symmetries of the theory for the energy-dependent metrics corresponding to the four fundamental interactions (electromagnetic, weak, strong and gravitational) are discussed for the first time. Possible developments of the formalism are also briefly outlined.

[ { "created": "Tue, 17 May 2005 08:30:51 GMT", "version": "v1" } ]

2007-05-23

[ [ "Cardone", "Fabio", "" ], [ "Marrani", "Alessio", "" ], [ "Mignani", "Roberto", "" ] ]

We illustrate the main features of a new Kaluza-Klein-like scheme (Deformed Relativity in five dimensions). It is based on a five-dimensional Riemannian space in which the four-dimensional space-time metric is deformed (i.e. it depends on the energy) and energy plays the role of the fifth dimension. We review the solutions of the five-dimensional Einstein equations in vacuum and the geodetic equations in some cases of physical relevance. The Killing symmetries of the theory for the energy-dependent metrics corresponding to the four fundamental interactions (electromagnetic, weak, strong and gravitational) are discussed for the first time. Possible developments of the formalism are also briefly outlined.

7.972123

7.424898

7.586349

7.087699

8.00804

7.413346

8.020909

7.597024

7.261418

8.235071

7.579259

7.582568

7.292218

7.283957

7.497825

7.381943

7.668798

7.267757

7.647269

7.502853

7.511858

2204.08290

Yizhou Lu

Jiong Lin, Yizhou Lu

Effective reflected entropy and entanglement negativity for general 2D eternal black holes

null

hep-th gr-qc

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

Both reflected entropy and entanglement negativity provide valid measures of entanglement between subsystems of a mixed state. For general 2D eternal black holes coupled with CFT matters in large $c$ limit, we perform the replica-trick computation and find that both effective Renyi reflected entropy and effective entanglement negativity can be expressed in terms of the combination of modified backreacting cosmic branes in $\mathrm{AdS}_3$ bulk. We then develop a holographic scheme to calculate effective reflected entropy and entanglement negativity for general 2D eternal black holes coupled with CFT matters in large $c$ limit. Using the scheme, we check the consistency condition of the island formulae for entanglement negativity and reflected entropy. We find that the combinations of modified backreacting cosmic branes in $\mathrm{AdS}_3$ bulk from the two island proposals of entanglement negativity exactly match with each other. Finally, we study the saturation of the reflected entropy inequality.

[ { "created": "Mon, 18 Apr 2022 12:38:07 GMT", "version": "v1" }, { "created": "Sat, 23 Apr 2022 05:52:10 GMT", "version": "v2" }, { "created": "Thu, 28 Jul 2022 06:36:31 GMT", "version": "v3" } ]

2022-07-29

[ [ "Lin", "Jiong", "" ], [ "Lu", "Yizhou", "" ] ]

Both reflected entropy and entanglement negativity provide valid measures of entanglement between subsystems of a mixed state. For general 2D eternal black holes coupled with CFT matters in large $c$ limit, we perform the replica-trick computation and find that both effective Renyi reflected entropy and effective entanglement negativity can be expressed in terms of the combination of modified backreacting cosmic branes in $\mathrm{AdS}_3$ bulk. We then develop a holographic scheme to calculate effective reflected entropy and entanglement negativity for general 2D eternal black holes coupled with CFT matters in large $c$ limit. Using the scheme, we check the consistency condition of the island formulae for entanglement negativity and reflected entropy. We find that the combinations of modified backreacting cosmic branes in $\mathrm{AdS}_3$ bulk from the two island proposals of entanglement negativity exactly match with each other. Finally, we study the saturation of the reflected entropy inequality.

7.415964

6.747949

8.450139

6.857786

7.42396

6.70646

6.712656

6.893085

6.317626

8.362012

6.32363

6.779102

7.050582

6.767715

6.899236

6.8989

6.703618

6.610802

6.718042

7.074412

6.885607

2008.04058

Changyong Liu

Chang-Yong Liu, You-Wei Li and Su-Zhi Wu

On positronium states in ${\rm{QED_3}}$

11 pages, 11 figures

null

hep-th

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

In this note, we present a new method to investigate the positronium states in ${\rm{QED_3}}$. According to the $\rm{K\ddot{a}ll\acute{e}n-Lehmann}$ spectral representation, the energy eigenvalues of bound states are poles of the correlation function. Using the chain approximation, we obtain the energy eigenvalues of the vector positronium states by taking into account the single-valued branches of multi-valued function. Using the same method, we also find the electron physical mass at some single-valued branch of multi-value function. Our results are agreement with the known ones.

[ { "created": "Sun, 2 Aug 2020 14:36:02 GMT", "version": "v1" }, { "created": "Sun, 13 Sep 2020 11:58:47 GMT", "version": "v2" } ]

2020-09-15

[ [ "Liu", "Chang-Yong", "" ], [ "Li", "You-Wei", "" ], [ "Wu", "Su-Zhi", "" ] ]

In this note, we present a new method to investigate the positronium states in ${\rm{QED_3}}$. According to the $\rm{K\ddot{a}ll\acute{e}n-Lehmann}$ spectral representation, the energy eigenvalues of bound states are poles of the correlation function. Using the chain approximation, we obtain the energy eigenvalues of the vector positronium states by taking into account the single-valued branches of multi-valued function. Using the same method, we also find the electron physical mass at some single-valued branch of multi-value function. Our results are agreement with the known ones.

9.09071

10.116225

9.41001

8.772562

10.054388

10.078567

9.544005

10.168269

9.047806

9.719303

9.291119

9.032292

9.030872

8.521704

8.397872

8.360945

8.686561

8.706849

8.528454

8.642091

8.520267

hep-th/0112234

Victor Gershun

V. D. Gershun

Bihamiltonian approach to the closed string model in the background fields

8 pages, espcrs2 style, to be appear in the Proceedings of the International Workshop "Supersymmetries and Quantum symmetries"(September 2001, Karpach, Poland)

null

hep-th

null

The closed string model in the background gravity field and the antisymmetric B-field is considered as the bihamiltonian system in assumption,that string model is the integrable model for particular kind of the background fields. It is shown, that bihamiltonity is origin of two types of the T-duality of the closed string models. The dual nonlocal Poisson brackets, depending of the background fields and of their derivatives, are obtained. The integrability condition is formulated as the compatibility of the bihamoltonity condition and the Jacobi identity of the dual Poisson bracket. It is shown, that the dual brackets and dual hamiltonians can be obtained from the canonical (PB) and from the initial hamiltonian by imposing of the second kind constraints on the initial dynamical system, on the closed string model in the constant background fields, as example. The closed string model in the constant background fields is considered without constraints, with the second kind constraints and with first kind constraints as the B-chiral string. The two particles discrete closed string model is considered as two relativistic particle system to show the difference between the Gupta-Bleuler method of the quantization with the first kind constraints and the quantization of the Dirac bracket with the second kind constraints.

[ { "created": "Tue, 25 Dec 2001 14:37:43 GMT", "version": "v1" } ]

2007-05-23

[ [ "Gershun", "V. D.", "" ] ]

The closed string model in the background gravity field and the antisymmetric B-field is considered as the bihamiltonian system in assumption,that string model is the integrable model for particular kind of the background fields. It is shown, that bihamiltonity is origin of two types of the T-duality of the closed string models. The dual nonlocal Poisson brackets, depending of the background fields and of their derivatives, are obtained. The integrability condition is formulated as the compatibility of the bihamoltonity condition and the Jacobi identity of the dual Poisson bracket. It is shown, that the dual brackets and dual hamiltonians can be obtained from the canonical (PB) and from the initial hamiltonian by imposing of the second kind constraints on the initial dynamical system, on the closed string model in the constant background fields, as example. The closed string model in the constant background fields is considered without constraints, with the second kind constraints and with first kind constraints as the B-chiral string. The two particles discrete closed string model is considered as two relativistic particle system to show the difference between the Gupta-Bleuler method of the quantization with the first kind constraints and the quantization of the Dirac bracket with the second kind constraints.

11.4863

12.675343

13.512547

11.274662

13.342893

13.392951

12.402225

12.663073

11.764085

14.410273

11.333035

11.184868

11.448957

10.996058

11.374663

11.151402

11.020288

11.255169

10.841495

11.402299

11.045734

1501.04837

Kimichika Fukushima

Kimichika Fukushima and Hikaru Sato

Analytic eigenenergies of the Dirac equation with finite degrees of freedom under a confining linear potential using basis functions localized in spacetime

v1: 6 pages; v2: grammar/spell corrected; some words added below last eq.; v3: title slightly modified; descriptions inserted; typos corrected; v4: Sec. 1 revised; Sec. 3 divided; Subsec. 3.2 inserted; typos corrected; v5: 8 pages; some descriptions modified in Abstract, Sections 1, 3 and 4; Subsec. 3.3 deleted; v6: a word replaced in Sec. 1; typos corrected; to appear in Bulg J Phys

Bulg. J. Phys. 43 (2016) 30-44

null

hep-th

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

Considering the propagation of fields in the spacetime continuum and the well-defined features of fields with finite degrees of freedom, the wave function is expanded in terms of a finite set of basis functions localized in spacetime. This paper presents the analytic eigenenergies derived for a confined fundamental fermion-antifermion pair under a linear potential obtained from the Wilson loop for the non-Abelian Yang-Mills field. The Hamiltonian matrix of the Dirac equation is analytically diagonalized using basis functions localized in spacetime. The squared lowest eigenenergy (as a function of the relativistic quantum number when the rotational energy is large compared to the composite particle masses) is proportional to the string tension and the absolute value of the Dirac's relativistic quantum number related to the total angular momentum, consistent with the expectation.

[ { "created": "Tue, 20 Jan 2015 15:01:54 GMT", "version": "v1" }, { "created": "Mon, 26 Jan 2015 15:20:02 GMT", "version": "v2" }, { "created": "Tue, 7 Apr 2015 14:49:48 GMT", "version": "v3" }, { "created": "Mon, 8 Jun 2015 14:43:14 GMT", "version": "v4" }, { "created": "Mon, 27 Jul 2015 13:05:35 GMT", "version": "v5" }, { "created": "Thu, 10 Mar 2016 11:59:00 GMT", "version": "v6" } ]

2016-03-18

[ [ "Fukushima", "Kimichika", "" ], [ "Sato", "Hikaru", "" ] ]

Considering the propagation of fields in the spacetime continuum and the well-defined features of fields with finite degrees of freedom, the wave function is expanded in terms of a finite set of basis functions localized in spacetime. This paper presents the analytic eigenenergies derived for a confined fundamental fermion-antifermion pair under a linear potential obtained from the Wilson loop for the non-Abelian Yang-Mills field. The Hamiltonian matrix of the Dirac equation is analytically diagonalized using basis functions localized in spacetime. The squared lowest eigenenergy (as a function of the relativistic quantum number when the rotational energy is large compared to the composite particle masses) is proportional to the string tension and the absolute value of the Dirac's relativistic quantum number related to the total angular momentum, consistent with the expectation.

12.656375

14.59259

12.303625

12.281146

14.632864

14.184575

15.003317

13.404843

12.570505

13.31343

12.596553

13.06061

12.011398

12.127951

13.336933

12.849112

12.939015

12.773002

12.377598

12.418441

12.208439

hep-th/9707180

Brett van de Sande

B. van de Sande and S. Dalley

Colour-Dielectric Gauge Theory on a Transverse Lattice

Invited talk at New Nonperturbative Methods and Quantization of the Light Cone, Les Houches, France, 24 Feb - 7 Mar 1997. 7 pages Latex, uses Boxedeps.tex macro

null

FAU-TP3-97/5

hep-th

null

We investigate consequences of the effective colour-dielectric formulation of lattice gauge theory using the light-cone Hamiltonian formalism with a transverse lattice (hep-ph/9704408). As a quantitative test of this approach, we have performed extensive analytic and numerical calculations for 2+1-dimensional pure gauge theory in the large $N$ limit. We study the structure of coupling constant space for our effective potential by comparing with results available from conventional Euclidean lattice Monte Carlo simulations of this system. In particular, we calculate and measure the scaling behaviour of the entire low-lying glueball spectrum, glueball wavefunctions, string tension, asymptotic density of states, and deconfining temperature.

[ { "created": "Mon, 21 Jul 1997 15:29:13 GMT", "version": "v1" } ]

2007-05-23

[ [ "van de Sande", "B.", "" ], [ "Dalley", "S.", "" ] ]

We investigate consequences of the effective colour-dielectric formulation of lattice gauge theory using the light-cone Hamiltonian formalism with a transverse lattice (hep-ph/9704408). As a quantitative test of this approach, we have performed extensive analytic and numerical calculations for 2+1-dimensional pure gauge theory in the large $N$ limit. We study the structure of coupling constant space for our effective potential by comparing with results available from conventional Euclidean lattice Monte Carlo simulations of this system. In particular, we calculate and measure the scaling behaviour of the entire low-lying glueball spectrum, glueball wavefunctions, string tension, asymptotic density of states, and deconfining temperature.

12.136217

12.253604

10.293283

10.108464

12.986605

12.047507

11.243397

10.791821

10.296466

9.034099

12.928368

11.538499

11.163187

11.032359

11.608535

12.135651

11.510422

11.363624

11.139076

10.542403

11.841957

hep-th/0409248

Anirban Saha

Pradip Mukherjee, Anirban Saha

A new approach to the analysis of a noncommutative Chern-Simons theory

9 pages latex, some new results added. To be published in Modern Physics Letters A

Mod.Phys.Lett. A21 (2006) 821-830

10.1142/S021773230601927X

null

hep-th

null

A novel approach to the analysis of a noncommutative Chern--Simons gauge theory with matter coupled in the adjoint representation has been discussed. The analysis is based on a recently proposed closed form Seiberg--Witten map which is exact in the noncommutative parameter.

[ { "created": "Fri, 24 Sep 2004 06:43:38 GMT", "version": "v1" }, { "created": "Tue, 15 Mar 2005 12:24:25 GMT", "version": "v2" }, { "created": "Thu, 17 Mar 2005 09:38:26 GMT", "version": "v3" }, { "created": "Tue, 8 Nov 2005 10:28:44 GMT", "version": "v4" } ]

2009-11-10

[ [ "Mukherjee", "Pradip", "" ], [ "Saha", "Anirban", "" ] ]

A novel approach to the analysis of a noncommutative Chern--Simons gauge theory with matter coupled in the adjoint representation has been discussed. The analysis is based on a recently proposed closed form Seiberg--Witten map which is exact in the noncommutative parameter.

7.80333

6.294885

7.424387

6.095435

6.35959

6.144569

6.270438

6.505116

6.186219

7.587163

6.022011

6.171857

7.00658

6.401739

6.269971

6.278764

6.014493

6.255212

6.163729

6.912986

6.037519

hep-th/9402139

Jarmo Hietarinta

Labeling Schemes for Tetrahedron Equations and Dualities between Them

24 pages with 11 figures, all in a compressed uuencoded postscript file, see instructions at the beginning of the file. If you cannot print the file, ask for a paper copy. Preprint number added: LPTHE PAR 94/07

J.Phys. A27 (1994) 5727-5748

10.1088/0305-4470/27/17/010

null

hep-th nlin.SI solv-int

null

Zamolodchikov's tetrahedron equations, which were derived by considering the scattering of straight strings, can be written in three different labeling schemes: one can use as labels the states of the vacua between the strings, the states of the string segments, or the states of the particles at the intersections of the strings. We give a detailed derivation of the three corresponding tetrahedron equations and show also how the Frenkel-Moore equations fits in as a {\em nonlocal} string labeling. We discuss then how an analog of the Wu-Kadanoff duality can be defined between each pair of the above three labeling schemes. It turns out that there are two cases, for which one can simultaneously construct a duality between {\em all} three pairs of labelings.

[ { "created": "Thu, 24 Feb 1994 15:43:37 GMT", "version": "v1" }, { "created": "Mon, 28 Feb 1994 17:05:47 GMT", "version": "v2" } ]

2009-10-28

[ [ "Hietarinta", "Jarmo", "" ] ]

Zamolodchikov's tetrahedron equations, which were derived by considering the scattering of straight strings, can be written in three different labeling schemes: one can use as labels the states of the vacua between the strings, the states of the string segments, or the states of the particles at the intersections of the strings. We give a detailed derivation of the three corresponding tetrahedron equations and show also how the Frenkel-Moore equations fits in as a {\em nonlocal} string labeling. We discuss then how an analog of the Wu-Kadanoff duality can be defined between each pair of the above three labeling schemes. It turns out that there are two cases, for which one can simultaneously construct a duality between {\em all} three pairs of labelings.

10.849951

11.256187

11.182009

10.308269

10.879521

11.726955

12.252137

11.129609

10.76817

11.558381

10.670684

9.771083

10.076939

10.127198

10.180593

10.19331

9.78326

9.772394

10.10676

9.998219

10.173063

1506.01340

Davide Fioravanti

Jean-Emile Bourgine, Davide Fioravanti

Finite $\epsilon_2$-corrections to the $\mathcal{N}=2$ SYM prepotential

13 pages, 1 figure

null

10.1016/j.physletb.2015.09.002

null

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

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

We derive the first $\epsilon_2$-correction to the instanton partition functions of $\mathcal{N}=2$ Super Yang-Mills (SYM) in four dimensions in the Nekrasov-Shatashvili limit $\epsilon_2\rightarrow 0$. In the latter we recall the emergence of the famous Thermodynamic Bethe Ansatz-like equation which has been found by Mayer expansion techniques. Here we combine efficiently these to field theory arguments. In a nutshell, we find natural and resolutive the introduction of a new operator $\nabla$ that distinguishes the singularities within and outside the integration contour of the partition function.

[ { "created": "Wed, 3 Jun 2015 18:09:12 GMT", "version": "v1" } ]

2015-09-09

[ [ "Bourgine", "Jean-Emile", "" ], [ "Fioravanti", "Davide", "" ] ]

We derive the first $\epsilon_2$-correction to the instanton partition functions of $\mathcal{N}=2$ Super Yang-Mills (SYM) in four dimensions in the Nekrasov-Shatashvili limit $\epsilon_2\rightarrow 0$. In the latter we recall the emergence of the famous Thermodynamic Bethe Ansatz-like equation which has been found by Mayer expansion techniques. Here we combine efficiently these to field theory arguments. In a nutshell, we find natural and resolutive the introduction of a new operator $\nabla$ that distinguishes the singularities within and outside the integration contour of the partition function.

12.922328

13.818319

15.104072

12.4984

14.176559

14.25089

13.943765

13.043781

11.858282

14.670277

12.830882

12.115586

12.879718

11.751375

12.508459

12.507051

12.090923

12.53896

12.266942

13.372036

12.381429

1312.1008

Davide Gaiotto

Sergio Cecotti, Davide Gaiotto, Cumrun Vafa

tt* Geometry in 3 and 4 Dimensions

125 pages, 23 figures

null

10.1007/JHEP05(2014)055

null

hep-th

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

We consider the vacuum geometry of supersymmetric theories with 4 supercharges, on a flat toroidal geometry. The 2 dimensional vacuum geometry is known to be captured by the $tt^*$ geometry. In the case of 3 dimensions, the parameter space is $(T^{2}\times {\mathbb R})^N$ and the vacuum geometry turns out to be a solution to a generalization of monopole equations in $3N$ dimensions where the relevant topological ring is that of line operators. We compute the generalization of the 2d cigar amplitudes, which lead to $S^2\times S^1$ or $S^3$ partition functions which are distinct from the supersymmetric partition functions on these spaces, but reduce to them in a certain limit. We show the sense in which these amplitudes generalize the structure of 3d Chern-Simons theories and 2d RCFT's. In the case of 4 dimensions the parameter space is of the form $(T^3\times {\mathbb R})^M\times T^{3N}$, and the vacuum geometry is a solution to a mixture of generalized monopole equations and generalized instanton equations (known as hyper-holomorphic connections). In this case the topological rings are associated to surface operators. We discuss the physical meaning of the generalized Nahm transforms which act on all of these geometries.

[ { "created": "Wed, 4 Dec 2013 03:01:43 GMT", "version": "v1" } ]

2015-06-18

[ [ "Cecotti", "Sergio", "" ], [ "Gaiotto", "Davide", "" ], [ "Vafa", "Cumrun", "" ] ]

We consider the vacuum geometry of supersymmetric theories with 4 supercharges, on a flat toroidal geometry. The 2 dimensional vacuum geometry is known to be captured by the $tt^*$ geometry. In the case of 3 dimensions, the parameter space is $(T^{2}\times {\mathbb R})^N$ and the vacuum geometry turns out to be a solution to a generalization of monopole equations in $3N$ dimensions where the relevant topological ring is that of line operators. We compute the generalization of the 2d cigar amplitudes, which lead to $S^2\times S^1$ or $S^3$ partition functions which are distinct from the supersymmetric partition functions on these spaces, but reduce to them in a certain limit. We show the sense in which these amplitudes generalize the structure of 3d Chern-Simons theories and 2d RCFT's. In the case of 4 dimensions the parameter space is of the form $(T^3\times {\mathbb R})^M\times T^{3N}$, and the vacuum geometry is a solution to a mixture of generalized monopole equations and generalized instanton equations (known as hyper-holomorphic connections). In this case the topological rings are associated to surface operators. We discuss the physical meaning of the generalized Nahm transforms which act on all of these geometries.

6.925737

7.805569

7.965591

7.111757

7.668053

7.209078

7.467498

7.082343

6.886114

8.22781

6.772716

7.053388

7.242556

7.051185

6.866513

7.080534

6.853586

7.03345

6.94028

7.308085

7.042316

1601.03414

Mithat Unsal

Gerald V. Dunne, and Mithat Unsal

New Methods in QFT and QCD: From Large-N Orbifold Equivalence to Bions and Resurgence

28 pages, 5 figures

null

10.1146/annurev-nucl-102115-044755

null

hep-th hep-lat

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

We present a broad conceptual introduction to some new ideas in non-perturbative QFT. The large-$N$ orbifold-orientifold equivalence connects a natural large-$N$ limit of QCD to QCD with adjoint fermions. QCD(adj) with periodic boundary conditions and double-trace deformation of Yang-Mills theory satisfy large-$N$ volume independence, a type of orbifold equivalence. Certain QFTs that satisfy volume independence at $N=\infty$ exhibit adiabatic continuity at finite-$N$, and also become semi-classically calculable on small $\mathbb R^3 \times S^1$. We discuss the role of monopole-instantons, and magnetic and neutral bion saddles in connection to mass gap, and center and chiral symmetry realizations. Neutral bions also provide a weak coupling semiclassical realization of infrared-renormalons. These considerations help motivate the necessity of complexification of path integrals (Picard-Lefschetz theory) in semi-classical analysis, and highlights the importance of hidden topological angles. Finally, we briefly review the resurgence program, which potentially provides a novel non-perturbative continuum definition of QFT. All these ideas are continuously connected.

[ { "created": "Wed, 13 Jan 2016 21:26:30 GMT", "version": "v1" } ]

2016-11-23

[ [ "Dunne", "Gerald V.", "" ], [ "Unsal", "Mithat", "" ] ]

We present a broad conceptual introduction to some new ideas in non-perturbative QFT. The large-$N$ orbifold-orientifold equivalence connects a natural large-$N$ limit of QCD to QCD with adjoint fermions. QCD(adj) with periodic boundary conditions and double-trace deformation of Yang-Mills theory satisfy large-$N$ volume independence, a type of orbifold equivalence. Certain QFTs that satisfy volume independence at $N=\infty$ exhibit adiabatic continuity at finite-$N$, and also become semi-classically calculable on small $\mathbb R^3 \times S^1$. We discuss the role of monopole-instantons, and magnetic and neutral bion saddles in connection to mass gap, and center and chiral symmetry realizations. Neutral bions also provide a weak coupling semiclassical realization of infrared-renormalons. These considerations help motivate the necessity of complexification of path integrals (Picard-Lefschetz theory) in semi-classical analysis, and highlights the importance of hidden topological angles. Finally, we briefly review the resurgence program, which potentially provides a novel non-perturbative continuum definition of QFT. All these ideas are continuously connected.

11.39784

11.147494

12.72606

11.188035

11.347115

10.990804

11.078547

11.194643

11.077118

13.687698

10.895905

11.575932

11.551353

11.399372

11.461467

11.285476

11.448027

11.000118

11.420294

11.579413

11.158044

hep-th/9204093

null

C.N. Pope

Review of W Strings

13 pages

null

hep-th

null

We review some of the recent developments in the construction of $W$-string theories. These are generalisations of ordinary strings in which the two-dimensional ``worldsheet'' theory, instead of being a gauging of the Virasoro algebra, is a gauging of a higher-spin extension of the Virasoro algebra---a $W$ algebra. Despite the complexity of the (non-linear) $W$ algebras, it turns out that the spectrum can be computed completely and explicitly for more or less any $W$ string. The result is equivalent to a set of spectra for Virasoro strings with unusual central charge and intercepts.

[ { "created": "Tue, 28 Apr 1992 20:08:05 GMT", "version": "v1" } ]

2007-05-23

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

We review some of the recent developments in the construction of $W$-string theories. These are generalisations of ordinary strings in which the two-dimensional ``worldsheet'' theory, instead of being a gauging of the Virasoro algebra, is a gauging of a higher-spin extension of the Virasoro algebra---a $W$ algebra. Despite the complexity of the (non-linear) $W$ algebras, it turns out that the spectrum can be computed completely and explicitly for more or less any $W$ string. The result is equivalent to a set of spectra for Virasoro strings with unusual central charge and intercepts.

7.600467

6.886399

9.010992

6.978583

7.360885

6.948761

6.948086

6.943138

6.736556

8.735369

6.673368

6.82847

7.741746

7.340108

7.278339

7.245517

7.04247

6.71768

7.030519

7.793467

6.871506

1102.5510

Mohammad R. Garousi

Mohammad R. Garousi and Mozhgan Mir

Towards extending the Chern-Simons couplings at order $O(\alpha'^2)$

30 pages, Latex file, one figure; the version appears in JHEP

null

10.1007/JHEP05(2011)066

null

hep-th

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

Using the compatibility of the anomalous Chern-Simons couplings on D$_p$-branes with the linear T-duality and with the antisymmetric B-field gauge transformations, some couplings have been recently found for $C^{(p-3)}$ at order $O(\alpha'^2)$. We examine these couplings with the S-matrix element of one RR and two antisymmetric B-field vertex operators. We find that the S-matrix element reproduces these couplings as well as some other couplings. Each of them is invariant under the linear T-duality and the B-field gauge transformations.

[ { "created": "Sun, 27 Feb 2011 14:30:38 GMT", "version": "v1" }, { "created": "Tue, 17 May 2011 12:57:22 GMT", "version": "v2" } ]

2015-05-27

[ [ "Garousi", "Mohammad R.", "" ], [ "Mir", "Mozhgan", "" ] ]

Using the compatibility of the anomalous Chern-Simons couplings on D$_p$-branes with the linear T-duality and with the antisymmetric B-field gauge transformations, some couplings have been recently found for $C^{(p-3)}$ at order $O(\alpha'^2)$. We examine these couplings with the S-matrix element of one RR and two antisymmetric B-field vertex operators. We find that the S-matrix element reproduces these couplings as well as some other couplings. Each of them is invariant under the linear T-duality and the B-field gauge transformations.

8.256191

5.759971

9.59746

6.372215

6.283149

6.122677

6.42843

5.920177

6.142382

9.1809

6.756562

7.431029

8.433631

7.252098

7.245071

7.280078

7.262908

6.969943

7.400947

8.489261

7.722574

2304.06792

Jian Qiu

Quantisation via Branes and Minimal Resolution

39+9 pages, typos fixed, comments welcome

null

UUITP-05/23

hep-th math.AG math.SG

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

The `brane quantisation' procedure is developed by Gukov and Witten \cite{Gukov:2008ve}. We implement this idea by combining it with the tilting theory and the minimal resolutions. This way, we can realistically compute the deformation quantisation on the space of observables acting on the Hilbert space. We apply this procedure to certain quantisation problem in the context of generalised K\"ahler structure on $\mathbb{P}^2$. Our approach differs from and complements that of Bischoff and Gualtieri \cite{Bischoff:2021ixy}. We also benefitted from an important technical tool: a combinatorial criterion for the Maurer-Cartan equation, developed in \cite{BarmeierWang} by Barmeier and Wang.

[ { "created": "Thu, 13 Apr 2023 19:24:38 GMT", "version": "v1" }, { "created": "Mon, 8 May 2023 09:09:23 GMT", "version": "v2" } ]

2023-05-09

[ [ "Qiu", "Jian", "" ] ]

The `brane quantisation' procedure is developed by Gukov and Witten \cite{Gukov:2008ve}. We implement this idea by combining it with the tilting theory and the minimal resolutions. This way, we can realistically compute the deformation quantisation on the space of observables acting on the Hilbert space. We apply this procedure to certain quantisation problem in the context of generalised K\"ahler structure on $\mathbb{P}^2$. Our approach differs from and complements that of Bischoff and Gualtieri \cite{Bischoff:2021ixy}. We also benefitted from an important technical tool: a combinatorial criterion for the Maurer-Cartan equation, developed in \cite{BarmeierWang} by Barmeier and Wang.

11.674191

12.523558

13.115564

12.444107

13.619127

13.814897

13.162531

13.139868

12.641438

13.663812

11.365522

11.653471

11.606788

11.622589

11.112282

11.558665

11.487335

11.539732

11.138536

11.757473

11.799261

1401.3697

Omar Valdivia O. Valdivia

O. Fierro, F. Izaurieta, P. Salgado and O. Valdivia

Minimal AdS-Lorentz supergravity in three-dimensions

18 pages, matches published version

null

10.1016/j.physletb.2018.10.066

null

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

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

The $\mathcal{N}=1$ AdS-Lorentz superalgebra is studied and its relationship to semigroup expansion developed. Using this mathematical tool, the invariant tensors and Casimir operators are found. In terms of these invariants, a three-dimensionnal Chern--Simons supergravity action with AdS-Lorentz symmetry is constructed. The Killing spinors for a BTZ black-hole like solution of the theory are discussed.

[ { "created": "Wed, 15 Jan 2014 18:45:28 GMT", "version": "v1" }, { "created": "Fri, 7 Mar 2014 20:22:29 GMT", "version": "v2" }, { "created": "Tue, 19 Jun 2018 19:47:04 GMT", "version": "v3" }, { "created": "Fri, 30 Nov 2018 02:17:17 GMT", "version": "v4" } ]

2018-12-03

[ [ "Fierro", "O.", "" ], [ "Izaurieta", "F.", "" ], [ "Salgado", "P.", "" ], [ "Valdivia", "O.", "" ] ]

The $\mathcal{N}=1$ AdS-Lorentz superalgebra is studied and its relationship to semigroup expansion developed. Using this mathematical tool, the invariant tensors and Casimir operators are found. In terms of these invariants, a three-dimensionnal Chern--Simons supergravity action with AdS-Lorentz symmetry is constructed. The Killing spinors for a BTZ black-hole like solution of the theory are discussed.

12.199422

9.764773

12.012307

10.135604

9.713162

9.807572

9.73082

9.127868

9.445264

13.107749

9.939746

10.832666

12.247175

10.531428

10.642765

10.251065

10.647079

10.763471

10.820865

11.72827

10.398069

1603.03074

Rafael Francisco

R. R. Francisco, J. Frenkel, and J. C. Taylor

Effective Action for Hard Thermal Loops in Gravitational Fields

4 pages, 2 figures

null

10.1016/j.physletb.2016.03.011

null

hep-th

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

We examine, through a Boltzmann equation approach, the generating action of hard thermal loops in the background of gravitational fields. Using the gauge and Weyl invariance of the theory at high temperature, we derive an explicit closed-form expression for the effective action.

[ { "created": "Wed, 9 Mar 2016 21:54:15 GMT", "version": "v1" } ]

2016-04-20

[ [ "Francisco", "R. R.", "" ], [ "Frenkel", "J.", "" ], [ "Taylor", "J. C.", "" ] ]

We examine, through a Boltzmann equation approach, the generating action of hard thermal loops in the background of gravitational fields. Using the gauge and Weyl invariance of the theory at high temperature, we derive an explicit closed-form expression for the effective action.

13.222282

11.509691

11.997343

10.868234

10.848827

11.154219

11.913075

11.501484

10.391836

13.29774

11.113469

11.582868

11.412202

11.093443

10.849601

10.765365

10.927503

10.833766

11.124131

11.289764

10.632757

0811.4325

Evgeny Buchbinder

Evgeny I. Buchbinder, Alex Buchel

The Fate of the Sound and Diffusion in Holographic Magnetic Field

23 pages; minor corrections, references added

Phys.Rev.D79:046006,2009

10.1103/PhysRevD.79.046006

null

hep-th

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

It was shown in arXiv:0810.4094 [hep-th] that in the presence of the magnetic field the sound waves in (2+1) dimensional plasma disappear and are replaces by a diffusive mode. Similarly, the shear and charge diffusion fluctuations form a subdiffusive mode. However, since the limit of small magnetic field does not commute with the hydrodynamic limit it is not obvious whether or not these modes are stable under higher order corrections. Using AdS/CFT correspondence we show that in the case of M2-brane plasma these modes do exist as we find the corresponding supergravity solutions. This allowed us to compute the conductivity and the shear viscosity to all orders in magnetic field. We find that the viscosity to entropy ratio saturates the Kovtun-Son-Starinets bound. This extends the universality property of the shear viscosity to the case of the strongly coupled plasma in external magnetic field.

[ { "created": "Wed, 26 Nov 2008 14:39:46 GMT", "version": "v1" }, { "created": "Wed, 18 Feb 2009 15:55:38 GMT", "version": "v2" } ]

2009-11-19

[ [ "Buchbinder", "Evgeny I.", "" ], [ "Buchel", "Alex", "" ] ]

It was shown in arXiv:0810.4094 [hep-th] that in the presence of the magnetic field the sound waves in (2+1) dimensional plasma disappear and are replaces by a diffusive mode. Similarly, the shear and charge diffusion fluctuations form a subdiffusive mode. However, since the limit of small magnetic field does not commute with the hydrodynamic limit it is not obvious whether or not these modes are stable under higher order corrections. Using AdS/CFT correspondence we show that in the case of M2-brane plasma these modes do exist as we find the corresponding supergravity solutions. This allowed us to compute the conductivity and the shear viscosity to all orders in magnetic field. We find that the viscosity to entropy ratio saturates the Kovtun-Son-Starinets bound. This extends the universality property of the shear viscosity to the case of the strongly coupled plasma in external magnetic field.

8.343413

8.122946

9.4304

7.32287

7.245908

8.183406

7.860661

7.079779

7.776421

9.465497

7.71906

7.603445

8.135532

7.478035

7.559512

7.403947

7.608878

7.418756

7.676081

8.194921

7.699045

1601.00235

David Chester

BCJ Relations for One-Loop QCD Integral Coefficients

29 pages, 13 figures

Phys. Rev. D 93, 065047 (2016)

10.1103/PhysRevD.93.065047

null

hep-th

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

We present a set of one-loop integral coefficient relations in QCD. The unitarity method is useful for exposing one-loop amplitudes in terms of tree amplitudes. The coefficient relations are induced by tree-level BCJ amplitude relations. We provide examples for box, triangle, and bubble coefficients. These relations reduce the total number of independent coefficients needed to calculate one-loop QCD amplitudes.

[ { "created": "Sun, 3 Jan 2016 00:01:33 GMT", "version": "v1" } ]

2016-03-30

[ [ "Chester", "David", "" ] ]

We present a set of one-loop integral coefficient relations in QCD. The unitarity method is useful for exposing one-loop amplitudes in terms of tree amplitudes. The coefficient relations are induced by tree-level BCJ amplitude relations. We provide examples for box, triangle, and bubble coefficients. These relations reduce the total number of independent coefficients needed to calculate one-loop QCD amplitudes.

9.335732

8.773154

8.33684

8.209804

9.533497

9.044515

9.155884

8.153584

8.345593

8.598391

9.18213

9.107736

9.112105

9.199368

8.834874

9.204374

9.002605

9.635136

8.504364

8.897722

8.870957

0705.0994

Andreas Karch

Dongsu Bak, Andreas Karch, and Laurence G. Yaffe

Debye screening in strongly coupled N=4 supersymmetric Yang-Mills plasma

21 pages, 5 figures, significantly expanded discussion of Polyakov loop correlator and static quark-antiquark potential

JHEP 0708:049,2007

10.1088/1126-6708/2007/08/049

null

hep-th

null

Using the AdS/CFT correspondence, we examine the behavior of correlators of Polyakov loops and other operators in N=4 supersymmetric Yang-Mills theory at non-zero temperature. The implications for Debye screening in this strongly coupled non-Abelian plasma, and comparisons with available results for thermal QCD, are discussed.

[ { "created": "Mon, 7 May 2007 20:26:04 GMT", "version": "v1" }, { "created": "Thu, 24 May 2007 13:31:31 GMT", "version": "v2" }, { "created": "Tue, 31 Jul 2007 06:37:45 GMT", "version": "v3" } ]

2009-04-22

[ [ "Bak", "Dongsu", "" ], [ "Karch", "Andreas", "" ], [ "Yaffe", "Laurence G.", "" ] ]

Using the AdS/CFT correspondence, we examine the behavior of correlators of Polyakov loops and other operators in N=4 supersymmetric Yang-Mills theory at non-zero temperature. The implications for Debye screening in this strongly coupled non-Abelian plasma, and comparisons with available results for thermal QCD, are discussed.

6.988902

5.838769

5.900579

5.894989

5.379179

6.141311

5.862881

5.769414

5.55564

6.090993

5.752921

5.791138

6.183415

5.789031

6.029423

5.965915

5.851595

6.324358

5.897146

6.397639

5.942499

0705.4107

Rodrigo Ferreira Sobreiro

R. F. Sobreiro

Non-perturbative aspects of Yang-Mills theories

PhD thesis; Advisor: S. P. Sorella; 136 pages; Text in Portuguese (To be replaced by an English version as soon as possible)

null

hep-th

null

Some nonperturbative aspects of Euclidean Yang-Mills theories in four dimensions, quantized in the Landau gauge, are analytically studied. In particular, we investigate the dynamical mass generation for the gluons due to the presence of dimension two condensates. This study is performed in the framework of the local composite operator technique in the case of the Yang-Mills action as well as in the case of the Gribov-Zwanziger action. Further, an investigation of the Gribov ambiguities in the linear covariant gauges is presented.

[ { "created": "Mon, 28 May 2007 21:38:04 GMT", "version": "v1" } ]

2007-05-30

[ [ "Sobreiro", "R. F.", "" ] ]

Some nonperturbative aspects of Euclidean Yang-Mills theories in four dimensions, quantized in the Landau gauge, are analytically studied. In particular, we investigate the dynamical mass generation for the gluons due to the presence of dimension two condensates. This study is performed in the framework of the local composite operator technique in the case of the Yang-Mills action as well as in the case of the Gribov-Zwanziger action. Further, an investigation of the Gribov ambiguities in the linear covariant gauges is presented.

5.278759

4.50585

5.09419

4.443798

4.459819

4.857906

4.591661

4.602562

4.365459

5.163613

4.545204

4.715165

5.229483

4.829303

4.921196

4.818632

4.924359

4.804643

4.864578

5.200597

4.86226

0904.1159

Seiberg

Zohar Komargodski and Nathan Seiberg

Comments on the Fayet-Iliopoulos Term in Field Theory and Supergravity

14 pages. v2: references added and minor changes

JHEP 0906:007,2009

10.1088/1126-6708/2009/06/007

null

hep-th hep-ph

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

A careful analysis of the Fayet-Iliopoulos (FI) model shows that its energy momentum tensor and supersymmetry current are not gauge invariant. Since the corresponding charges are gauge invariant, the model is consistent. However, our observation about the currents gives a new perspective on its restrictive renormalization group flow and explains why FI-terms never appear in dynamical supersymmetry breaking. This lack of gauge invariance is at the root of the complications of coupling the model to supergravity. We show that this is possible only if the full supergravity theory (including all higher derivative corrections) has an additional exact continuous global symmetry. A consistent quantum gravity theory cannot have such symmetries and hence FI-terms cannot appear. Our results have consequences for various models of particle physics and cosmology.

[ { "created": "Tue, 7 Apr 2009 14:53:52 GMT", "version": "v1" }, { "created": "Thu, 30 Apr 2009 01:30:35 GMT", "version": "v2" } ]

2009-09-15

[ [ "Komargodski", "Zohar", "" ], [ "Seiberg", "Nathan", "" ] ]

A careful analysis of the Fayet-Iliopoulos (FI) model shows that its energy momentum tensor and supersymmetry current are not gauge invariant. Since the corresponding charges are gauge invariant, the model is consistent. However, our observation about the currents gives a new perspective on its restrictive renormalization group flow and explains why FI-terms never appear in dynamical supersymmetry breaking. This lack of gauge invariance is at the root of the complications of coupling the model to supergravity. We show that this is possible only if the full supergravity theory (including all higher derivative corrections) has an additional exact continuous global symmetry. A consistent quantum gravity theory cannot have such symmetries and hence FI-terms cannot appear. Our results have consequences for various models of particle physics and cosmology.

9.971611

9.630522

10.68985

9.984439

11.195032

10.735888

9.816286

9.674528

9.697764

11.417359

9.764702

9.897317

9.987005

9.732776

9.587961

9.470939

9.805121

9.743464

9.790924

10.084262

9.530707

2303.11714

Hongbao Zhang

Yuan Chen, Wei Guo, Kai Shi, and Hongbao Zhang

$SL(2,R)\times U(1)$ symmetry and quasinormal modes in the self-dual warped AdS black hole

References updated, typos corrected, clarifications made, version to appear in JHEP

JHEP06, 075(2023)

10.1007/JHEP06(2023)075

null

hep-th gr-qc

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

The algebraic approach to the spectrum of quasinormal modes has been made as simple as possible for the BTZ black hole by the strategy developed in \cite{Zhang}. By working with the self-dual warped AdS black hole, we demonstrate in an explicit way that such a strategy can be well adapted to those warped AdS balck holes with the $SL(2,R)\times U(1)$ isometry. To this end, we first introduce two associated tensor fields with the quadratic Casimir of $SL(2,R)\times U(1)$ Lie algebra in the self-dual warped AdS black hole and show that they correspond essentially to the metric and volume element up to a constant prefactor, respectively. Then without appealing to any concrete coordinate system, we can further show that the solutions to the equations of motion for the scalar, vector, spinor fields all fall into the representations of the $SL(2,R)\times U(1)$ Lie algebra by a purely abstract tensor and spinor analysis. Accordingly, the corresponding spectrum of quasinormal modes for each fixed azimuthal quantum number can be derived algebraically as the infinite tower of descendants of the highest weight mode of the $SL(2,R)$ Lie subalgebra.

[ { "created": "Tue, 21 Mar 2023 10:05:31 GMT", "version": "v1" }, { "created": "Wed, 31 May 2023 15:32:02 GMT", "version": "v2" } ]

2023-06-16

[ [ "Chen", "Yuan", "" ], [ "Guo", "Wei", "" ], [ "Shi", "Kai", "" ], [ "Zhang", "Hongbao", "" ] ]

The algebraic approach to the spectrum of quasinormal modes has been made as simple as possible for the BTZ black hole by the strategy developed in \cite{Zhang}. By working with the self-dual warped AdS black hole, we demonstrate in an explicit way that such a strategy can be well adapted to those warped AdS balck holes with the $SL(2,R)\times U(1)$ isometry. To this end, we first introduce two associated tensor fields with the quadratic Casimir of $SL(2,R)\times U(1)$ Lie algebra in the self-dual warped AdS black hole and show that they correspond essentially to the metric and volume element up to a constant prefactor, respectively. Then without appealing to any concrete coordinate system, we can further show that the solutions to the equations of motion for the scalar, vector, spinor fields all fall into the representations of the $SL(2,R)\times U(1)$ Lie algebra by a purely abstract tensor and spinor analysis. Accordingly, the corresponding spectrum of quasinormal modes for each fixed azimuthal quantum number can be derived algebraically as the infinite tower of descendants of the highest weight mode of the $SL(2,R)$ Lie subalgebra.

8.460513

8.786633

8.631087

8.370066

8.93403

8.836557

8.931495

8.655683

7.941416

8.916252

8.824976

8.174721

8.508066

8.209716

8.449686

8.580466

8.238225

8.488832

8.389137

8.381561

8.310671

1311.2601

Martin Schvellinger

Ezequiel Koile, Sebastian Macaluso and Martin Schvellinger

Deep inelastic scattering structure functions of holographic spin-1 hadrons with $N_f \geq 1$

48 pages, 8 figures

null

10.1007/JHEP01(2014)166

null

hep-th

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

Two-point current correlation functions of the large $N$ limit of supersymmetric and non-supersymmetric Yang-Mills theories at strong coupling are investigated in terms of their string theory dual models with quenched flavors. We consider non-Abelian global symmetry currents, which allow one to investigate vector mesons with $N_f > 1$. From the correlation functions we construct the deep inelastic scattering hadronic tensor of spin-one mesons, obtaining the corresponding eight structure functions for polarized vector mesons. We obtain several relations among the structure functions. Relations among some of their moments are also derived. Aspects of the sub-leading contributions in the $1/N$ and $N_f/N$ expansions are discussed. At leading order we find a universal behavior of the hadronic structure functions.

[ { "created": "Mon, 11 Nov 2013 21:02:07 GMT", "version": "v1" } ]

2015-06-17

[ [ "Koile", "Ezequiel", "" ], [ "Macaluso", "Sebastian", "" ], [ "Schvellinger", "Martin", "" ] ]

Two-point current correlation functions of the large $N$ limit of supersymmetric and non-supersymmetric Yang-Mills theories at strong coupling are investigated in terms of their string theory dual models with quenched flavors. We consider non-Abelian global symmetry currents, which allow one to investigate vector mesons with $N_f > 1$. From the correlation functions we construct the deep inelastic scattering hadronic tensor of spin-one mesons, obtaining the corresponding eight structure functions for polarized vector mesons. We obtain several relations among the structure functions. Relations among some of their moments are also derived. Aspects of the sub-leading contributions in the $1/N$ and $N_f/N$ expansions are discussed. At leading order we find a universal behavior of the hadronic structure functions.

11.815507

10.957544

11.749618

9.920721

10.792925

10.624683

10.506557

10.807996

10.471943

12.493738

9.932542

11.252987

11.091964

10.448064

10.911734

10.840746

10.623333

10.889249

10.225201

10.950357

10.459911

1405.6507

Ruth Gregory

Ruth Gregory, Peter C. Gustainis, David Kubiznak, Robert B. Mann, and Danielle Wills

Vortex hair on AdS black holes

24 pages, 7 figures, references added

null

10.1007/JHEP11(2014)010

DCPT-14/23

hep-th astro-ph.CO gr-qc

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

We analyse vortex hair for charged rotating asymptotically AdS black holes in the abelian Higgs model. We give analytical and numerical arguments to show how the vortex interacts with the horizon of the black hole, and how the solution extends to the boundary. The solution is very close to the corresponding asymptotically flat vortex, once one transforms to a frame that is non-rotating at the boundary. We show that there is a Meissner effect for extremal black holes, with the vortex flux being expelled from sufficiently small black holes. The phase transition is shown to be first order in the presence of rotation, but second order without rotation. We comment on applications to holography.

[ { "created": "Mon, 26 May 2014 09:02:06 GMT", "version": "v1" }, { "created": "Wed, 16 Jul 2014 15:44:57 GMT", "version": "v2" } ]

2015-06-19

[ [ "Gregory", "Ruth", "" ], [ "Gustainis", "Peter C.", "" ], [ "Kubiznak", "David", "" ], [ "Mann", "Robert B.", "" ], [ "Wills", "Danielle", "" ] ]

We analyse vortex hair for charged rotating asymptotically AdS black holes in the abelian Higgs model. We give analytical and numerical arguments to show how the vortex interacts with the horizon of the black hole, and how the solution extends to the boundary. The solution is very close to the corresponding asymptotically flat vortex, once one transforms to a frame that is non-rotating at the boundary. We show that there is a Meissner effect for extremal black holes, with the vortex flux being expelled from sufficiently small black holes. The phase transition is shown to be first order in the presence of rotation, but second order without rotation. We comment on applications to holography.

8.345213

6.857059

7.651348

7.21808

7.312069

7.702425

7.090186

7.041121

6.924553

7.915387

7.001844

7.175812

7.518432

7.177375

7.191154

7.133936

7.022187

6.962154

7.224405

7.479067

7.210886

hep-th/9801135

Nobuyoshi Ohta

Takuhiro Kitao, Nobuyoshi Ohta and Jian-Ge Zhou

Fermionic Zero Mode and String Creation between D4-Branes at Angles

10 pages, Latex

Phys.Lett. B428 (1998) 68-74

10.1016/S0370-2693(98)00375-X

UT-Komaba/98-1, OU-HET 289

hep-th

null

We study the creation of a fundamental string between D4-branes at angles in string theory. It is shown that $R(-1)^{F}$ part of the one-loop potential of open string changes its sign due to the change of fermionic zero-mode vacua when the branes cross each other. As a result the effective potential is independent of the angles when supersymmetry is partially unbroken, and leads to a consistent picture that a fundamental string is created in the process. We also discuss the s-rule in the configuration. The same result is obtained from the one-loop potential for the orthogonal D4-branes with non-zero field strength. The result is also confirmed from the tension obtained by deforming the Chern-Simons term on one D4-brane, which is induced by another tilted D4-brane.

[ { "created": "Tue, 20 Jan 1998 07:10:40 GMT", "version": "v1" }, { "created": "Wed, 21 Jan 1998 03:44:49 GMT", "version": "v2" } ]

2009-10-31

[ [ "Kitao", "Takuhiro", "" ], [ "Ohta", "Nobuyoshi", "" ], [ "Zhou", "Jian-Ge", "" ] ]

We study the creation of a fundamental string between D4-branes at angles in string theory. It is shown that $R(-1)^{F}$ part of the one-loop potential of open string changes its sign due to the change of fermionic zero-mode vacua when the branes cross each other. As a result the effective potential is independent of the angles when supersymmetry is partially unbroken, and leads to a consistent picture that a fundamental string is created in the process. We also discuss the s-rule in the configuration. The same result is obtained from the one-loop potential for the orthogonal D4-branes with non-zero field strength. The result is also confirmed from the tension obtained by deforming the Chern-Simons term on one D4-brane, which is induced by another tilted D4-brane.

11.186684

10.770152

11.863711

10.045176

10.782156

10.690571

10.266989

10.227227

10.39604

12.574723

10.490858

10.295031

11.629147

10.147672

10.283815

10.414098

10.121226

10.569978

10.312848

11.515867

10.123562

hep-th/0109146

null

Ricardo Amorim and Franz A. Farias

Hamiltonian formulation of nonAbelian noncommutative gauge theories

enlarged version, 7 pages, RevTex

Phys.Rev. D65 (2002) 065009

10.1103/PhysRevD.65.065009

null

hep-th

null

We implement the Hamiltonian treatment of a nonAbelian noncommutative gauge theory, considering with some detail the algebraic structure of the noncommutative symmetry group. The first class constraints and Hamiltonian are obtained and their algebra derived, as well as the form of the gauge invariance they impose on the first order action.

[ { "created": "Wed, 19 Sep 2001 14:07:03 GMT", "version": "v1" }, { "created": "Thu, 20 Sep 2001 18:30:27 GMT", "version": "v2" }, { "created": "Tue, 27 Nov 2001 15:05:58 GMT", "version": "v3" } ]

2009-11-07

[ [ "Amorim", "Ricardo", "" ], [ "Farias", "Franz A.", "" ] ]

We implement the Hamiltonian treatment of a nonAbelian noncommutative gauge theory, considering with some detail the algebraic structure of the noncommutative symmetry group. The first class constraints and Hamiltonian are obtained and their algebra derived, as well as the form of the gauge invariance they impose on the first order action.

11.903215

9.566806

10.108678

8.96134

10.279777

9.210084

10.336997

8.798045

10.250071

10.947405

9.784035

9.443618

10.503764

9.964361

9.668825

9.525281

9.78943

9.898045

9.588997

9.718763

9.620583

hep-th/0512047

Javier Casahorran

Luis J. Boya

Arguments for F-theory

To appear in early 2006 in Mod. Phys. Lett. A as Brief Review

Mod.Phys.Lett. A21 (2006) 287-304

10.1142/S0217732306019335

null

hep-th

null

After a brief review of string and $M$-Theory we point out some deficiencies. Partly to cure them, we present several arguments for ``$F$-Theory'', enlarging spacetime to $(2, 10)$ signature, following the original suggestion of C. Vafa. We introduce a suggestive Supersymmetric 27-plet of particles, associated to the exceptional symmetric hermitian space $E_{6}/Spin^{c}(10)$. Several possible future directions, including using projective rather than metric geometry, are mentioned. We should emphasize that $F$-Theory is yet just a very provisional attempt, lacking clear dynamical principles.

[ { "created": "Mon, 5 Dec 2005 16:56:44 GMT", "version": "v1" } ]

2009-11-11

[ [ "Boya", "Luis J.", "" ] ]

After a brief review of string and $M$-Theory we point out some deficiencies. Partly to cure them, we present several arguments for ``$F$-Theory'', enlarging spacetime to $(2, 10)$ signature, following the original suggestion of C. Vafa. We introduce a suggestive Supersymmetric 27-plet of particles, associated to the exceptional symmetric hermitian space $E_{6}/Spin^{c}(10)$. Several possible future directions, including using projective rather than metric geometry, are mentioned. We should emphasize that $F$-Theory is yet just a very provisional attempt, lacking clear dynamical principles.

20.203613

22.460773

22.744734

21.726852

22.038818

22.872057

20.988974

19.681673

20.074408

25.833078

20.501022

18.853556

18.978636

18.303768

18.481712

19.121048

19.692276

19.942272

19.297756

19.017633

19.068489

1601.01430

Subir Ghosh

Praloy Das and Subir Ghosh (Indian Statistical Institute)

Noncommutative Geometry and Fluid Dynamics

15 pages, no figures, change of title, new references added, no change in results and conclusions; minor changes and references added, to appear in EPJC; erratum included (page 19), change in Dirac algebra leads to significant changes in some of the conclusions

null

10.1140/epjc/s10052-016-4488-8

null

hep-th gr-qc quant-ph

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

In the present paper we have developed a Non-Commutative (NC) generalization of perfect fluid model from first principles, in a Hamiltonian framework. The noncommutativity is introduced at the Lagrangian (particle) coordinate space brackets and the induced NC fluid bracket algebra for the Eulerian (fluid) field variables is derived. Together with a Hamiltonian this NC algebra generates the generalized fluid dynamics that satisfies exact local conservation laws for mass and energy thereby maintaining mass and energy conservation. However, nontrivial NC correction terms appear in charge and energy fluxes. Other non-relativistic spacetime symmetries of the NC fluid are also discussed in detail. This constitutes the study of kinematics and dynamics of NC fluid. In the second part we construct an extension of Friedmann-Robertson-Walker (FRW) cosmological model based on the NC fluid dynamics presented here. We outline the way in which NC effects generate cosmological perturbations bringing in anisotropy and inhomogeneity in the model. We also derive a NC extended Friedmann equation.

[ { "created": "Thu, 7 Jan 2016 07:45:42 GMT", "version": "v1" }, { "created": "Fri, 26 Aug 2016 07:13:26 GMT", "version": "v2" }, { "created": "Wed, 26 Oct 2016 07:14:15 GMT", "version": "v3" }, { "created": "Tue, 8 Nov 2016 11:12:56 GMT", "version": "v4" }, { "created": "Thu, 19 Jan 2017 06:17:31 GMT", "version": "v5" } ]

2017-01-20

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

In the present paper we have developed a Non-Commutative (NC) generalization of perfect fluid model from first principles, in a Hamiltonian framework. The noncommutativity is introduced at the Lagrangian (particle) coordinate space brackets and the induced NC fluid bracket algebra for the Eulerian (fluid) field variables is derived. Together with a Hamiltonian this NC algebra generates the generalized fluid dynamics that satisfies exact local conservation laws for mass and energy thereby maintaining mass and energy conservation. However, nontrivial NC correction terms appear in charge and energy fluxes. Other non-relativistic spacetime symmetries of the NC fluid are also discussed in detail. This constitutes the study of kinematics and dynamics of NC fluid. In the second part we construct an extension of Friedmann-Robertson-Walker (FRW) cosmological model based on the NC fluid dynamics presented here. We outline the way in which NC effects generate cosmological perturbations bringing in anisotropy and inhomogeneity in the model. We also derive a NC extended Friedmann equation.

9.336026

10.945442

9.960014

9.185448

10.147974

9.703095

9.948816

9.941964

9.65661

10.778801

10.010334

9.251506

9.988132

9.49721

9.235537

9.270753

9.488919

9.551606

9.688601

9.68495

9.509926

hep-th/0610234

Yutaka Sakamura

Hiroyuki Abe, Yutaka Sakamura

Roles of Z_2-odd N=1 multiplets in off-shell dimensional reduction of 5D supergravity

30 pages, no figure, typos corrected

Phys.Rev.D75:025018,2007

10.1103/PhysRevD.75.025018

YITP-06-53, OU-HET 568/2006

hep-th hep-ph

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

We discuss the dimensional reduction of five-dimensional supergravity compactified on S^1/Z_2 keeping the N=1 off-shell structure. Especially we clarify the roles of the Z_2-odd N=1 multiplets in such an off-shell dimensional reduction. Their equations of motion provide constraints on the Z_2-even multiplets and extract the zero modes from the latter. The procedure can be applied to wide range of models and performed in a background-independent way. We demonstrate it in some specific models.

[ { "created": "Sat, 21 Oct 2006 16:56:41 GMT", "version": "v1" }, { "created": "Thu, 28 Dec 2006 14:30:04 GMT", "version": "v2" }, { "created": "Sat, 10 Sep 2011 08:09:10 GMT", "version": "v3" } ]

2011-09-13

[ [ "Abe", "Hiroyuki", "" ], [ "Sakamura", "Yutaka", "" ] ]

We discuss the dimensional reduction of five-dimensional supergravity compactified on S^1/Z_2 keeping the N=1 off-shell structure. Especially we clarify the roles of the Z_2-odd N=1 multiplets in such an off-shell dimensional reduction. Their equations of motion provide constraints on the Z_2-even multiplets and extract the zero modes from the latter. The procedure can be applied to wide range of models and performed in a background-independent way. We demonstrate it in some specific models.

9.582982

7.942425

9.432313

8.66933

8.451749

8.314577

8.374604

9.255503

8.716667

10.187228

8.478135

8.972332

8.989779

8.560778

9.038977

8.805089

9.028516

8.638338

8.52097

8.867929

8.459909

1205.1233

Alexander Sorin

Pietro Fre, Alexander S. Sorin

Extremal Multicenter Black Holes: Nilpotent Orbits and Tits Satake Universality Classes

83 pages, LaTeX; v2: few misprints corrected and references added

null

10.1007/JHEP01(2013)003

null

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

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

Four dimensional supergravity theories whose scalar manifold is a symmetric coset manifold U[D=4]/Hc are arranged into a finite list of Tits Satake universality classes. Stationary solutions of these theories, spherically symmetric or not, are identified with those of an euclidian three-dimensional sigma-model, whose target manifold is a Lorentzian coset U[D=3]/H* and the extremal ones are associated with H* nilpotent orbits in the K* representation emerging from the orthogonal decomposition of the algebra U[D=3] with respect to H*. It is shown that the classification of such orbits can always be reduced to the Tits-Satake projection and it is a class property of the Tits Satake universality classes. The construction procedure of Bossard et al of extremal multicenter solutions by means of a triangular hierarchy of integrable equations is completed and converted into a closed algorithm by means of a general formula that provides the transition from the symmetric to the solvable gauge. The question of the relation between H* orbits and charge orbits W of the corresponding black holes is addressed and also reduced to the corresponding question within the Tits Satake projection. It is conjectured that on the vanishing locus of the Taub-NUT current the relation between H*-orbit and W-orbit is rigid and one-to-one. All black holes emerging from multicenter solutions associated with a given H* orbit have the same W-type. For the S^3 model we provide a complete survey of its multicenter solutions associated with all of the previously classified nilpotent orbits of sl(2) x sl(2) within g[2,2]. We find a new intrinsic classification of the W-orbits of this model that might provide a paradigm for the analogous classification in all the other Tits Satake universality classes.

[ { "created": "Sun, 6 May 2012 17:11:19 GMT", "version": "v1" }, { "created": "Tue, 12 Jun 2012 20:22:36 GMT", "version": "v2" } ]

2015-06-05

[ [ "Fre", "Pietro", "" ], [ "Sorin", "Alexander S.", "" ] ]

Four dimensional supergravity theories whose scalar manifold is a symmetric coset manifold U[D=4]/Hc are arranged into a finite list of Tits Satake universality classes. Stationary solutions of these theories, spherically symmetric or not, are identified with those of an euclidian three-dimensional sigma-model, whose target manifold is a Lorentzian coset U[D=3]/H* and the extremal ones are associated with H* nilpotent orbits in the K* representation emerging from the orthogonal decomposition of the algebra U[D=3] with respect to H*. It is shown that the classification of such orbits can always be reduced to the Tits-Satake projection and it is a class property of the Tits Satake universality classes. The construction procedure of Bossard et al of extremal multicenter solutions by means of a triangular hierarchy of integrable equations is completed and converted into a closed algorithm by means of a general formula that provides the transition from the symmetric to the solvable gauge. The question of the relation between H* orbits and charge orbits W of the corresponding black holes is addressed and also reduced to the corresponding question within the Tits Satake projection. It is conjectured that on the vanishing locus of the Taub-NUT current the relation between H*-orbit and W-orbit is rigid and one-to-one. All black holes emerging from multicenter solutions associated with a given H* orbit have the same W-type. For the S^3 model we provide a complete survey of its multicenter solutions associated with all of the previously classified nilpotent orbits of sl(2) x sl(2) within g[2,2]. We find a new intrinsic classification of the W-orbits of this model that might provide a paradigm for the analogous classification in all the other Tits Satake universality classes.

12.349439

13.395732

13.894272

11.815372

12.595037

12.516546

12.618406

12.334787

12.10269

13.212583

11.670051

12.038577

12.547371

11.724394

12.102569

12.158758

11.905931

12.123353

12.117978

12.776831

12.050914

hep-th/0606052

Stefano Bellucci

S. Bellucci, S. Krivonos, A. Shcherbakov

N=4, d=3 nonlinear electrodynamics

8 pages, LaTeX file, PACS numbers: 11.30.Pb, 03.65.-w

Phys.Rev.D74:065016,2006

10.1103/PhysRevD.74.065016

null

hep-th

null

We construct a new off-shell $\mathcal{N}{=}4$, $d{=}3$ nonlinear vector supermultiplet. The irreducibility constraints for the superfields leave in this supermultiplet the same component content as in the ordinary linear vector supermultiplet. We present the most general sigma-model type action for the $\mathcal{N}{=}4$, $d{=}3$ electrodynamics with the nonlinear vector supermultiplet, which despite the nonlinearity of the supermultiplet may be written as an integral over a chiral superspace. This action share the most important properties with its linear counterpart. We also perform the dualization of the vector component into a scalar one and find the corresponding $\mathcal{N}{=}4$, $d{=}3$ supersymmetric action which describes new hyper-K\"ahler sigma-model in the bosonic sector.

[ { "created": "Wed, 7 Jun 2006 11:12:38 GMT", "version": "v1" } ]

2008-11-26

[ [ "Bellucci", "S.", "" ], [ "Krivonos", "S.", "" ], [ "Shcherbakov", "A.", "" ] ]

We construct a new off-shell $\mathcal{N}{=}4$, $d{=}3$ nonlinear vector supermultiplet. The irreducibility constraints for the superfields leave in this supermultiplet the same component content as in the ordinary linear vector supermultiplet. We present the most general sigma-model type action for the $\mathcal{N}{=}4$, $d{=}3$ electrodynamics with the nonlinear vector supermultiplet, which despite the nonlinearity of the supermultiplet may be written as an integral over a chiral superspace. This action share the most important properties with its linear counterpart. We also perform the dualization of the vector component into a scalar one and find the corresponding $\mathcal{N}{=}4$, $d{=}3$ supersymmetric action which describes new hyper-K\"ahler sigma-model in the bosonic sector.

6.022235

5.096313

6.339404

5.308582

5.916533

5.645384

5.64104

5.217535

5.344856

7.168588

5.087457

5.692963

6.483499

5.643464

5.545301

5.60874

5.765152

5.708775

5.590074

6.355973

5.718954

hep-th/0412134

Daniel Luiz Nedel

M. C. B. Abdalla, A. L. Gadelha and Daniel L. Nedel

Perspectives of TFD on String Theory

10 pages, revtex4, minor corrections. Contribution to Fourth International Winter Conference on Mathematical Methods in Physics, 09 - 13 August 2004, Centro Brasileiro de Pesquisas Fisicas (CBPF/MCT), Rio de Janeiro, Brazil

PoS WC2004 (2004) 020

null

hep-th

null

Considering the type IIB superstring in a pp wave background some recent ideas and perspectives of Thermo Field Dynamics on string theory are presented. The thermal Fock space is constructed attempting to consider a possible finite temperature version of the BMN correspondence in this framework. Also, the thermal vacuum is identified as a string boundary state realizing the thermal torus interpretation in the ambit of Thermo Field Dynamics. Such a interpretation consists of a generalization of some recent analysis for the closed bosonic string.

[ { "created": "Mon, 13 Dec 2004 18:37:23 GMT", "version": "v1" }, { "created": "Tue, 14 Dec 2004 16:29:11 GMT", "version": "v2" } ]

2007-05-23

[ [ "Abdalla", "M. C. B.", "" ], [ "Gadelha", "A. L.", "" ], [ "Nedel", "Daniel L.", "" ] ]

Considering the type IIB superstring in a pp wave background some recent ideas and perspectives of Thermo Field Dynamics on string theory are presented. The thermal Fock space is constructed attempting to consider a possible finite temperature version of the BMN correspondence in this framework. Also, the thermal vacuum is identified as a string boundary state realizing the thermal torus interpretation in the ambit of Thermo Field Dynamics. Such a interpretation consists of a generalization of some recent analysis for the closed bosonic string.

22.971899

17.394503

25.062244

17.284866

17.422386

17.163591

17.489452

18.307499

16.506754

21.96727

18.704268

18.413944

20.912649

19.296743

18.852037

18.933561

17.788538

17.980194

18.666555

20.671595

19.431002

1810.00441

Calin Iuliu Lazaroiu

Elena Mirela Babalic and Calin Iuliu Lazaroiu

Cosmological flows on hyperbolic surfaces

10 pages, conference proceedings

FACTA UNIVERSITATIS, Series: Physics, Chemistry and Technology, Vol. 17, No 1, Special Issue, 2019, pp. 1 - 9

10.2298/FUPCT1901001B

null

hep-th

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

We outline the geometric formulation of cosmological flows for FLRW models with scalar matter as well as certain aspects which arise in their study with methods originating from the geometric theory of dynamical systems. We briefly summarize certain results of numerical analysis which we carried out when the scalar manifold of the model is a hyperbolic surface of infinite area.

[ { "created": "Sun, 30 Sep 2018 18:33:39 GMT", "version": "v1" } ]

2019-10-23

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

We outline the geometric formulation of cosmological flows for FLRW models with scalar matter as well as certain aspects which arise in their study with methods originating from the geometric theory of dynamical systems. We briefly summarize certain results of numerical analysis which we carried out when the scalar manifold of the model is a hyperbolic surface of infinite area.

23.227737

16.199123

19.114262

17.987392

19.170046

19.460938

17.911995

18.500074

16.410713

22.107132

19.331732

19.019585

19.362457

19.83263

18.81851

20.205887

20.216721

19.044128

20.53685

19.48357

19.672676

1005.4469

Yuji Tachikawa

Luis F. Alday and Yuji Tachikawa

Affine SL(2) conformal blocks from 4d gauge theories

31 pages, 3 figures; v2: typos corrected, references added

Lett.Math.Phys.94:87-114,2010

10.1007/s11005-010-0422-4

null

hep-th math.AG math.RT

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

We study Nekrasov's instanton partition function of four-dimensional N=2 gauge theories in the presence of surface operators. This can be computed order by order in the instanton expansion by using results available in the mathematical literature. Focusing in the case of SU(2) quiver gauge theories, we find that the results agree with a modified version of the conformal blocks of affine SL(2) Lie algebra. These conformal blocks provide, in the critical limit, the eigenfunctions of the corresponding quantized Hitchin Hamiltonians.

[ { "created": "Tue, 25 May 2010 02:33:20 GMT", "version": "v1" }, { "created": "Thu, 10 Jun 2010 21:46:16 GMT", "version": "v2" } ]

2014-11-21

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

We study Nekrasov's instanton partition function of four-dimensional N=2 gauge theories in the presence of surface operators. This can be computed order by order in the instanton expansion by using results available in the mathematical literature. Focusing in the case of SU(2) quiver gauge theories, we find that the results agree with a modified version of the conformal blocks of affine SL(2) Lie algebra. These conformal blocks provide, in the critical limit, the eigenfunctions of the corresponding quantized Hitchin Hamiltonians.

6.838957

6.484095

7.653112

5.983531

6.273781

6.022189

5.966878

6.232062

6.178864

8.554663

6.06359

6.474789

7.097929

6.278923

6.158315

6.238999

6.461331

5.920223

6.205063

7.214445

6.136684

hep-th/9602144

Institute of Physics. Bhubaneswar

Alok Kumar and Koushik Ray

M-Theory on Orientifolds of $K_3 \times S^1$

10 pages

Phys.Rev. D54 (1996) 1647-1649

10.1103/PhysRevD.54.1647

IP/BBSR/96-13

hep-th

null

We present several Orientifolds of M-Theory on $K_3\times S^1$ by additional projections with respect to the finite abelian automorphism groups of $K_3$. The resulting models correspond to anomaly free theories in six dimensions. We construct explicit examples which can be interpreted as models with eight, four, two and one vector multiplets and $N=1$ supersymmetry in six dimensions.

[ { "created": "Tue, 27 Feb 1996 07:16:09 GMT", "version": "v1" } ]

2009-10-30

[ [ "Kumar", "Alok", "" ], [ "Ray", "Koushik", "" ] ]

We present several Orientifolds of M-Theory on $K_3\times S^1$ by additional projections with respect to the finite abelian automorphism groups of $K_3$. The resulting models correspond to anomaly free theories in six dimensions. We construct explicit examples which can be interpreted as models with eight, four, two and one vector multiplets and $N=1$ supersymmetry in six dimensions.

9.59595

7.783889

11.00552

8.420953

8.593801

8.826685

8.90724

7.896093

8.310101

11.485144

8.416183

8.503962

10.546841

8.767803

8.848331

8.439694

8.639945

8.855007

8.48683

10.08515

8.638412

1101.4361

Roberto Bondesan

Roberto Bondesan, Jesper Lykke Jacobsen, Hubert Saleur

Edge states and conformal boundary conditions in super spin chains and super sigma models

50 pages, 18 figures

Nucl.Phys.B849:461-502,2011

10.1016/j.nuclphysb.2011.03.023

null

hep-th cond-mat.mes-hall

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

The sigma models on projective superspaces CP^{N+M-1|N} with topological angle theta=pi mod 2pi flow to non-unitary, logarithmic conformal field theories in the low-energy limit. In this paper, we determine the exact spectrum of these theories for all open boundary conditions preserving the full global symmetry of the model, generalizing recent work on the particular case M=0 [C. Candu et al, JHEP02(2010)015]. In the sigma model setting, these boundary conditions are associated with complex line bundles, and are labelled by an integer, related with the exact value of theta. Our approach relies on a spin chain regularization, where the boundary conditions now correspond to the introduction of additional edge states. The exact values of the exponents then follow from a lengthy algebraic analysis, a reformulation of the spin chain in terms of crossing and non-crossing loops (represented as a certain subalgebra of the Brauer algebra), and earlier results on the so-called one- and two-boundary Temperley Lieb algebras (also known as blob algebras). A remarkable result is that the exponents, in general, turn out to be irrational. The case M=1 has direct applications to the spin quantum Hall effect, which will be discussed in a sequel.

[ { "created": "Sun, 23 Jan 2011 11:30:45 GMT", "version": "v1" }, { "created": "Sat, 7 May 2011 15:26:38 GMT", "version": "v2" } ]

2011-05-12

[ [ "Bondesan", "Roberto", "" ], [ "Jacobsen", "Jesper Lykke", "" ], [ "Saleur", "Hubert", "" ] ]

The sigma models on projective superspaces CP^{N+M-1|N} with topological angle theta=pi mod 2pi flow to non-unitary, logarithmic conformal field theories in the low-energy limit. In this paper, we determine the exact spectrum of these theories for all open boundary conditions preserving the full global symmetry of the model, generalizing recent work on the particular case M=0 [C. Candu et al, JHEP02(2010)015]. In the sigma model setting, these boundary conditions are associated with complex line bundles, and are labelled by an integer, related with the exact value of theta. Our approach relies on a spin chain regularization, where the boundary conditions now correspond to the introduction of additional edge states. The exact values of the exponents then follow from a lengthy algebraic analysis, a reformulation of the spin chain in terms of crossing and non-crossing loops (represented as a certain subalgebra of the Brauer algebra), and earlier results on the so-called one- and two-boundary Temperley Lieb algebras (also known as blob algebras). A remarkable result is that the exponents, in general, turn out to be irrational. The case M=1 has direct applications to the spin quantum Hall effect, which will be discussed in a sequel.

8.064422

8.877731

10.75925

8.924919

9.833109

9.744924

9.667403

9.504941

9.071834

11.101115

9.203905

8.148036

9.333429

8.443254

8.514105

8.21277

8.390883

8.318841

8.263978

9.277654

8.487126

0812.0718

Keiju Murata

Instabilities of Kerr-AdS_5 x S^5 Spacetime

30 pages, 7 figures

Prog.Theor.Phys.121:1099-1124,2009

10.1143/PTP.121.1099

null

hep-th gr-qc

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

We study gravitational perturbations of the Kerr-AdS_5 x S^5 spacetime with equal angular momenta. In this spacetime, we found the two kinds of classical instabilities, superradiant and Gregory-Laflamme instabilities. The superradiant instability is caused by the wave amplification via superradiance, and by wave reflection due to the potential barrier of the AdS spacetime. The Gregory-Laflamme instability appears in Kaluza-Klein modes of the internal space S^5 and breaks the symmetry SO(6). Taken into account these instabilities, the phase structure of Kerr-AdS_5 x S^5 spacetime is revealed. The implication for the AdS/CFT correspondence is also discussed.

[ { "created": "Wed, 3 Dec 2008 13:54:00 GMT", "version": "v1" } ]

2009-08-11

[ [ "Murata", "Keiju", "" ] ]

We study gravitational perturbations of the Kerr-AdS_5 x S^5 spacetime with equal angular momenta. In this spacetime, we found the two kinds of classical instabilities, superradiant and Gregory-Laflamme instabilities. The superradiant instability is caused by the wave amplification via superradiance, and by wave reflection due to the potential barrier of the AdS spacetime. The Gregory-Laflamme instability appears in Kaluza-Klein modes of the internal space S^5 and breaks the symmetry SO(6). Taken into account these instabilities, the phase structure of Kerr-AdS_5 x S^5 spacetime is revealed. The implication for the AdS/CFT correspondence is also discussed.

5.298995

4.849576

5.099612

4.692225

4.791255

4.984173

5.306559

4.901278

4.838134

5.39614

4.872912

5.059862

5.323791

5.011418

5.080714

5.04919

5.144225

4.982145

4.889836

5.446511

4.882284

hep-th/0007025

Antonino Flachi

A. Flachi and D. J. Toms

Higgs mechanism in the Randall-Sundrum model

8 pages, 1 figure

Phys.Lett. B491 (2000) 157-160

10.1016/S0370-2693(00)01009-1

null

hep-th

null

We consider the dimensional reduction of a bulk scalar field in the Randall-Sundrum model. By allowing the scalar field to be non-minimally coupled to the spacetime curvature we show that it is possible to generate spontaneous symmetry breaking on the brane.

[ { "created": "Tue, 4 Jul 2000 12:44:22 GMT", "version": "v1" } ]

2009-10-31

[ [ "Flachi", "A.", "" ], [ "Toms", "D. J.", "" ] ]

We consider the dimensional reduction of a bulk scalar field in the Randall-Sundrum model. By allowing the scalar field to be non-minimally coupled to the spacetime curvature we show that it is possible to generate spontaneous symmetry breaking on the brane.

6.123729

4.370701

4.789182

4.359199

4.4294

4.652979

4.353317

4.23958

4.341973

5.125353

4.848913

4.915799

4.956162

4.926928

5.198912

5.146249

5.012094

5.093346

4.898411

4.892325

5.040126

1301.6803

Mareike Haberichter

Richard A. Battye and Mareike Haberichter

Classically Isospinning Hopf Solitons

19 pages, 11 figures, v2. Published version

Phys. Rev. D 87, 105003 (2013)

10.1103/PhysRevD.87.105003

null

hep-th

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

We perform full three-dimensional numerical relaxations of isospinning Hopf solitons with Hopf charge up to 8 in the Skyrme-Faddeev model with mass terms included. We explicitly allow the soliton solution to deform and to break the symmetries of the static configuration. It turns out that the model with its rich spectrum of soliton solutions, often of similar energy, allows for transmutations, formation of new solution types and the rearrangement of the spectrum of minimal-energy solitons in a given topological sector when isospin is added. We observe that the shape of isospinning Hopf solitons can differ qualitatively from that of the static solution. In particular the solution type of the lowest energy soliton can change. Our numerical results are of relevance for the quantization of the classical soliton solutions.

[ { "created": "Mon, 28 Jan 2013 23:17:57 GMT", "version": "v1" }, { "created": "Mon, 16 Sep 2013 18:07:49 GMT", "version": "v2" } ]

2013-09-17

[ [ "Battye", "Richard A.", "" ], [ "Haberichter", "Mareike", "" ] ]

We perform full three-dimensional numerical relaxations of isospinning Hopf solitons with Hopf charge up to 8 in the Skyrme-Faddeev model with mass terms included. We explicitly allow the soliton solution to deform and to break the symmetries of the static configuration. It turns out that the model with its rich spectrum of soliton solutions, often of similar energy, allows for transmutations, formation of new solution types and the rearrangement of the spectrum of minimal-energy solitons in a given topological sector when isospin is added. We observe that the shape of isospinning Hopf solitons can differ qualitatively from that of the static solution. In particular the solution type of the lowest energy soliton can change. Our numerical results are of relevance for the quantization of the classical soliton solutions.

11.265885

9.38593

11.837441

9.881706

10.238274

9.634334

10.287615

10.753014

9.605394

11.744095

9.710299

10.248651

11.670379

10.232242

10.31635

10.492406

9.999612

10.70183

10.205497

11.001955

9.733399

hep-th/9904198

Gianguido Dall'Agata

N = 2 conformal field theories from M2-branes at conifold singularities

1+11 pages, LaTeX2e file, clarified some points and added some references

Phys.Lett. B460 (1999) 79-86

10.1016/S0370-2693(99)00642-5

DFTT 99/23

hep-th

null

We make some comments on the derivation of N=2 super-conformal field theories with smooth gauge group from M2-branes placed at conifold singularities, giving a detailed prescription for two specific examples: the singular cones over the Q^{111} and M^{110} manifolds.

[ { "created": "Wed, 28 Apr 1999 17:42:18 GMT", "version": "v1" }, { "created": "Sun, 9 May 1999 18:33:43 GMT", "version": "v2" } ]

2009-10-31

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

We make some comments on the derivation of N=2 super-conformal field theories with smooth gauge group from M2-branes placed at conifold singularities, giving a detailed prescription for two specific examples: the singular cones over the Q^{111} and M^{110} manifolds.

18.961208

13.227863

18.718105

13.227094

15.759835

13.707353

13.697715

13.010983

12.449796

19.914587

14.036361

12.484692

18.451763

14.408411

13.435999

12.979899

13.583321

13.571366

13.400043

18.433577

13.18017

2212.06194

Daniel Jim\'enez-Aguilar

Jose J. Blanco-Pillado, Daniel Jim\'enez-Aguilar, Jose M. Queiruga, Jon Urrestilla

Parametric Resonances in Axionic Cosmic Strings

13 pages + appendices, 5 figures. Published version

JCAP 04 (2023) 043

10.1088/1475-7516/2023/04/043

null

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

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

In this letter we uncover a new parametric resonance of axionic cosmic strings. This process is triggered by the presence on the string of internal mode excitations that resonantly amplify the amplitude of transverse displacements of the string. We study this process by running numerical simulations that demonstrate the existence of this phenomenon in a $(3+1)$ dimensional lattice field theory and compare the results with the analytic expectations for the effective Lagrangian of the amplitude of these modes and their interactions. Finally, we also analyze the massless and massive radiation produced by these excited strings and comment on its relevance for the interpretation of the results of current numerical simulations of axionic cosmic string networks.

[ { "created": "Mon, 12 Dec 2022 19:10:19 GMT", "version": "v1" }, { "created": "Mon, 17 Apr 2023 17:07:26 GMT", "version": "v2" } ]

2023-04-18

[ [ "Blanco-Pillado", "Jose J.", "" ], [ "Jiménez-Aguilar", "Daniel", "" ], [ "Queiruga", "Jose M.", "" ], [ "Urrestilla", "Jon", "" ] ]

In this letter we uncover a new parametric resonance of axionic cosmic strings. This process is triggered by the presence on the string of internal mode excitations that resonantly amplify the amplitude of transverse displacements of the string. We study this process by running numerical simulations that demonstrate the existence of this phenomenon in a $(3+1)$ dimensional lattice field theory and compare the results with the analytic expectations for the effective Lagrangian of the amplitude of these modes and their interactions. Finally, we also analyze the massless and massive radiation produced by these excited strings and comment on its relevance for the interpretation of the results of current numerical simulations of axionic cosmic string networks.

11.75782

10.902285

11.292075

10.735661

10.485904

10.561242

10.51632

10.166502

10.053584

12.288071

9.890971

10.716593

10.411984

10.054445

9.960558

10.13071

10.195991

10.032144

10.449609

10.365183

10.418918

1804.03268

Atsushi Nakamula

T. Kato, A. Nakamula, K. Takesue

Magnetically Charged Calorons with Non-Trivial Holonomy

33 pages, 8 figures

null

10.1007/JHEP06(2018)024

null

hep-th math-ph math.MP

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

Instantons in pure Yang-Mills theories on partially periodic space $\mathbb{R}^3\times S^1$ are usually called calorons. The background periodicity brings on characteristic features of calorons such as non-trivial holonomy, which plays an essential role for confinement/deconfinement transition in pure Yang-Mills gauge theory. For the case of gauge group $SU(2)$, calorons can be interpreted as composite objects of two constituent "monopoles" with opposite magnetic charges. There are often the cases that the two monopole charges are unbalanced so that the calorons possess net magnetic charge in $\mathbb{R}^3$. In this paper, we consider several mechanism how such net magnetic charges appear for certain types of calorons through the ADHM/Nahm construction with explicit examples. In particular, we construct analytically the gauge configuration of the $(2,1)$-caloron with $U(1)$-symmetry, which has intrinsically magnetic charge.

[ { "created": "Mon, 9 Apr 2018 23:08:49 GMT", "version": "v1" } ]

2018-07-04

[ [ "Kato", "T.", "" ], [ "Nakamula", "A.", "" ], [ "Takesue", "K.", "" ] ]

Instantons in pure Yang-Mills theories on partially periodic space $\mathbb{R}^3\times S^1$ are usually called calorons. The background periodicity brings on characteristic features of calorons such as non-trivial holonomy, which plays an essential role for confinement/deconfinement transition in pure Yang-Mills gauge theory. For the case of gauge group $SU(2)$, calorons can be interpreted as composite objects of two constituent "monopoles" with opposite magnetic charges. There are often the cases that the two monopole charges are unbalanced so that the calorons possess net magnetic charge in $\mathbb{R}^3$. In this paper, we consider several mechanism how such net magnetic charges appear for certain types of calorons through the ADHM/Nahm construction with explicit examples. In particular, we construct analytically the gauge configuration of the $(2,1)$-caloron with $U(1)$-symmetry, which has intrinsically magnetic charge.

7.345912

7.717861

8.274113

7.32604

7.786062

7.470194

7.798895

7.46378

7.228871

8.243817

7.291135

7.229405

7.368482

7.058527

7.151606

7.128169

7.412266

7.124351

7.065174

7.494949

7.152899

1211.6858

Yoske Sumitomo

Yoske Sumitomo, S.-H. Henry Tye

Preference for a Vanishingly Small Cosmological Constant in Supersymmetric Vacua in a Type IIB String Theory Model

6 pages, 2 figures; v2: version to appear in PLB

null

10.1016/j.physletb.2013.05.027

null

hep-th astro-ph.CO hep-ph

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

We study the probability distribution P(\Lambda) of the cosmological constant \Lambda in a specific set of KKLT type models of supersymmetric IIB vacua. We show that, as we sweep through the quantized flux values in this flux compactification, P(\Lambda) behaves divergent at \Lambda =0^- and the median magnitude of \Lambda drops exponentially as the number of complex structure moduli h^{2,1} increases. Also, owing to the hierarchical and approximate no-scale structure, the probability of having a positive Hessian (mass squared matrix) approaches unity as h^{2,1} increases.

[ { "created": "Thu, 29 Nov 2012 09:35:27 GMT", "version": "v1" }, { "created": "Wed, 12 Jun 2013 12:05:25 GMT", "version": "v2" } ]

2015-06-12

[ [ "Sumitomo", "Yoske", "" ], [ "Tye", "S. -H. Henry", "" ] ]

We study the probability distribution P(\Lambda) of the cosmological constant \Lambda in a specific set of KKLT type models of supersymmetric IIB vacua. We show that, as we sweep through the quantized flux values in this flux compactification, P(\Lambda) behaves divergent at \Lambda =0^- and the median magnitude of \Lambda drops exponentially as the number of complex structure moduli h^{2,1} increases. Also, owing to the hierarchical and approximate no-scale structure, the probability of having a positive Hessian (mass squared matrix) approaches unity as h^{2,1} increases.

13.196992

12.795035

14.075134

11.678122

13.056397

13.987964

13.143578

13.424674

13.206857

14.82894

12.450597

12.805776

13.567707

12.078684

12.215284

12.627714

12.782026

12.459266

12.910617

13.269777

12.179511

0911.2821

Wen-Yu Wen

Jiunn-Wei Chen, Ying-Jer Kao, Wen-Yu Wen

Peak-Dip-Hump from Holographic Superconductivity

4 pages, revtex4

Phys.Rev.D82:026007,2010

10.1103/PhysRevD.82.026007

null

hep-th cond-mat.str-el cond-mat.supr-con

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

We study the fermionic spectral function in a holographic superconductor model. At zero temperature, the black hole has zero horizon and hence the entropy of the system is zero after the back reaction of the condensate is taken into account. We find the system exhibits the famous peak-dip-hump lineshape with a sharp low-energy peak followed by a dip then a hump at higher energies. This feature is widely observed in the spectrum of several high-T_c superconductors. We also find a linear relation between the gap in the fermionic spectrum and the condensate, indicating the condensate is formed by fermion pairing.

[ { "created": "Mon, 16 Nov 2009 20:32:36 GMT", "version": "v1" } ]

2010-10-28

[ [ "Chen", "Jiunn-Wei", "" ], [ "Kao", "Ying-Jer", "" ], [ "Wen", "Wen-Yu", "" ] ]

We study the fermionic spectral function in a holographic superconductor model. At zero temperature, the black hole has zero horizon and hence the entropy of the system is zero after the back reaction of the condensate is taken into account. We find the system exhibits the famous peak-dip-hump lineshape with a sharp low-energy peak followed by a dip then a hump at higher energies. This feature is widely observed in the spectrum of several high-T_c superconductors. We also find a linear relation between the gap in the fermionic spectrum and the condensate, indicating the condensate is formed by fermion pairing.

7.600388

7.989785

7.709036

6.915645

7.846169

7.943425

8.035951

7.089038

7.089335

8.355662

7.549551

7.218953

7.287016

7.215423

7.351811

7.406221

7.257463

7.366063

7.066223

7.221421

7.23363

1912.01047

Francesco Aprile

Francesco Aprile, James Drummond, Paul Heslop, Hynek Paul

One-loop amplitudes in $AdS_5\times S^5$ supergravity from $\mathcal{N}=4$ SYM at strong coupling

66 pages, 6 Sections, Appendices A,B,C,D, and 4 Ancillary files

null

10.1007/JHEP03(2020)190

null

hep-th

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

We explore the structure of maximally supersymmetric Yang-Mills correlators in the supergravity regime. We develop an algorithm to construct one-loop supergravity amplitudes of four arbitrary Kaluza-Klein supergravity states, properly dualised into single-particle operators. We illustrate this algorithm by constructing new explicit results for multi-channel correlation functions, and we show that correlators which are degenerate at tree level become distinguishable at one-loop. The algorithm contains a number of subtle features which have not appeared until now. In particular, we address the presence of non-trivial low twist protected operators in the OPE that are crucial for obtaining the correct one-loop results. Finally, we outline how the differential operators $\widehat{\mathcal{D}}_{pqrs}$ and $\Delta^{(8)}$, which play a role in the context of the hidden 10d conformal symmetry at tree level, can be used to reorganise our one-loop correlators.

[ { "created": "Mon, 2 Dec 2019 19:20:54 GMT", "version": "v1" } ]

2020-05-20

[ [ "Aprile", "Francesco", "" ], [ "Drummond", "James", "" ], [ "Heslop", "Paul", "" ], [ "Paul", "Hynek", "" ] ]

We explore the structure of maximally supersymmetric Yang-Mills correlators in the supergravity regime. We develop an algorithm to construct one-loop supergravity amplitudes of four arbitrary Kaluza-Klein supergravity states, properly dualised into single-particle operators. We illustrate this algorithm by constructing new explicit results for multi-channel correlation functions, and we show that correlators which are degenerate at tree level become distinguishable at one-loop. The algorithm contains a number of subtle features which have not appeared until now. In particular, we address the presence of non-trivial low twist protected operators in the OPE that are crucial for obtaining the correct one-loop results. Finally, we outline how the differential operators $\widehat{\mathcal{D}}_{pqrs}$ and $\Delta^{(8)}$, which play a role in the context of the hidden 10d conformal symmetry at tree level, can be used to reorganise our one-loop correlators.

11.84527

12.037601

12.105121

11.237026

11.165947

11.911619

11.921037

11.091594

10.825886

13.685728

11.061504

10.743137

11.756756

11.18519

11.3518

11.07246

11.330653

11.102987

10.803222

12.166913

10.812324

1905.12391

Seckin Kurkcuoglu

D. Karabali, S. Kurkcuoglu, V. P. Nair

Magnetic Field and Curvature Effects on Pair Production II: Vectors and Implications for Chromodynamics

24 pages, 9 figures

Phys. Rev. D 100, 065006 (2019)

10.1103/PhysRevD.100.065006

null

hep-th

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

We calculate the pair production rates for spin-$1$ or vector particles on spaces of the form $M \times {\mathbb R}^{1,1}$ with $M$ corresponding to ${\mathbb R}^2$ (flat), $S^2$ (positive curvature) and $H^2$ (negative curvature), with and without a background (chromo)magnetic field on $M$. Beyond highlighting the effects of curvature and background magnetic field, this is particularly interesting since vector particles are known to suffer from the Nielsen-Olesen instability, which can dramatically increase pair production rates. The form of this instability for $S^2$ and $H^2$ is obtained. We also give a brief discussion of how our results relate to ideas about confinement in nonabelian theories.

[ { "created": "Wed, 29 May 2019 12:56:54 GMT", "version": "v1" } ]

2019-09-25

[ [ "Karabali", "D.", "" ], [ "Kurkcuoglu", "S.", "" ], [ "Nair", "V. P.", "" ] ]

We calculate the pair production rates for spin-$1$ or vector particles on spaces of the form $M \times {\mathbb R}^{1,1}$ with $M$ corresponding to ${\mathbb R}^2$ (flat), $S^2$ (positive curvature) and $H^2$ (negative curvature), with and without a background (chromo)magnetic field on $M$. Beyond highlighting the effects of curvature and background magnetic field, this is particularly interesting since vector particles are known to suffer from the Nielsen-Olesen instability, which can dramatically increase pair production rates. The form of this instability for $S^2$ and $H^2$ is obtained. We also give a brief discussion of how our results relate to ideas about confinement in nonabelian theories.

6.941351

6.056115

6.780548

6.125

6.199107

6.025961

6.231811

5.994108

6.559844

7.830901

6.024687

6.371608

6.748929

6.447566

6.471342

6.416299

6.386276

6.235263

6.601372

6.542376

6.347185

0704.3559

Andr\'e Ploegh

E.A. Bergshoeff, J. Hartong, A. Ploegh, J. Rosseel and D. Van den Bleeken

Pseudo-supersymmetry and a Tale of Alternate Realities

32 pages

JHEP0707:067,2007

10.1088/1126-6708/2007/07/067

UG-07-02, KUL-TF-07/08

hep-th

null

We discuss how all variant 10d and 11d maximal supergravities, including star supergravities and supergravities in different signatures, can be obtained as different real slices of three complex actions. As an application we study the recently introduced domain-wall/cosmology correspondence in this approach. We give an example in 9d and 10d where the domain-wall and corresponding cosmology can be viewed as different real slices of the same complex solution. We argue how in this case the pseudo-supersymmetry of the cosmological solutions can be understood as the invariance under supersymmetry of a variant supergravity.

[ { "created": "Thu, 26 Apr 2007 14:47:46 GMT", "version": "v1" } ]

2008-11-26

[ [ "Bergshoeff", "E. A.", "" ], [ "Hartong", "J.", "" ], [ "Ploegh", "A.", "" ], [ "Rosseel", "J.", "" ], [ "Bleeken", "D. Van den", "" ] ]

We discuss how all variant 10d and 11d maximal supergravities, including star supergravities and supergravities in different signatures, can be obtained as different real slices of three complex actions. As an application we study the recently introduced domain-wall/cosmology correspondence in this approach. We give an example in 9d and 10d where the domain-wall and corresponding cosmology can be viewed as different real slices of the same complex solution. We argue how in this case the pseudo-supersymmetry of the cosmological solutions can be understood as the invariance under supersymmetry of a variant supergravity.

11.627979

10.011435

11.698161

10.166652

10.93669

10.373947

9.617383

10.724767

10.180532

13.536459

10.594108

10.463855

11.311262

10.326447

10.458658

10.03161

10.552085

10.32276

10.59703

10.997381

10.830533

1003.5823

Tristan Hubsch

M.K. Ahsan and T. Hubsch

Z_N-Invariant Subgroups of Semi-Simple Lie Groups

Update reflects some corrections and streamlined results hastened by the journal Referee; LaTeX 3 times for correct "longtable" processing

J. Stat. Math. Sci. 2 (2016) 116

null

hep-th math-ph math.MP

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

We employ Mathematica to find $Z_N$-invariant subgroups of $E_8$ for application in M-theory. These $Z_N$-invariant subgroups are phenomenologically important and in some cases they resemble the gauge groups of our real world. We present a specific example of $Z_7$-invariant subgroups of $E_8$, which turn up in orbifold compactification of M-theory. Moreover, the procedure can be applied for any $Z_N$ group that acts by shifts (translations) in the root lattice of semisimple Lie groups with $A_n,B_n,C_n,D_n,E_6,E_7$ and $E_8$ factors.

[ { "created": "Tue, 30 Mar 2010 13:59:55 GMT", "version": "v1" }, { "created": "Sat, 17 Jun 2017 18:48:34 GMT", "version": "v2" } ]

2017-06-20

[ [ "Ahsan", "M. K.", "" ], [ "Hubsch", "T.", "" ] ]

We employ Mathematica to find $Z_N$-invariant subgroups of $E_8$ for application in M-theory. These $Z_N$-invariant subgroups are phenomenologically important and in some cases they resemble the gauge groups of our real world. We present a specific example of $Z_7$-invariant subgroups of $E_8$, which turn up in orbifold compactification of M-theory. Moreover, the procedure can be applied for any $Z_N$ group that acts by shifts (translations) in the root lattice of semisimple Lie groups with $A_n,B_n,C_n,D_n,E_6,E_7$ and $E_8$ factors.

7.809681

7.916068

7.490229

7.823582

8.1192

7.840296

7.973861

7.804531

7.380885

7.85107

7.230859

7.250521

7.569143

7.118902

7.096509

7.305203

7.133552

7.308026

7.243179

7.239336

7.070501

0809.4074

Makoto Natsuume

Kengo Maeda, Makoto Natsuume, Takashi Okamura

Dynamic critical phenomena in the AdS/CFT duality

17 pages, ReVTeX4; v2: added references and discussion

Phys.Rev.D78:106007,2008

10.1103/PhysRevD.78.106007

KEK-TH-1277

hep-th gr-qc

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

In critical phenomena, singular behaviors arise not only for thermodynamic quantities but also for transport coefficients. We study this dynamic critical phenomenon in the AdS/CFT duality. We consider black holes with a single R-charge in various dimensions and compute the R-charge diffusion in the linear perturbations. In this case, the black holes belong to model B according to the classification of Hohenberg and Halperin.

[ { "created": "Wed, 24 Sep 2008 03:30:19 GMT", "version": "v1" }, { "created": "Tue, 7 Oct 2008 08:48:01 GMT", "version": "v2" }, { "created": "Wed, 10 Dec 2008 09:09:32 GMT", "version": "v3" } ]

2008-12-18

[ [ "Maeda", "Kengo", "" ], [ "Natsuume", "Makoto", "" ], [ "Okamura", "Takashi", "" ] ]

In critical phenomena, singular behaviors arise not only for thermodynamic quantities but also for transport coefficients. We study this dynamic critical phenomenon in the AdS/CFT duality. We consider black holes with a single R-charge in various dimensions and compute the R-charge diffusion in the linear perturbations. In this case, the black holes belong to model B according to the classification of Hohenberg and Halperin.

10.910748

7.550886

9.570289

8.30133

8.178684

7.920214

7.741242

7.769533

8.447395

9.294925

8.773482

8.609944

9.278234

8.977491

8.937709

8.505075

8.402478

8.633879

8.81629

8.958381

8.720026

hep-th/0307246

Anne Schunck

N. S. Manton, A. F. Schunck

Delocalised Spinors

30 pages, 4 figures

J.Phys.A37:1415-1436,2004

10.1088/0305-4470/37/4/024

DAMTP-2003-72

hep-th

null

Solutions to the four-dimensional Euclidean Weyl equation in the background of a general JNR N-instanton are known to be normalisable and regular throughout four-space. We show that these solutions are asymptotically given by a linear combination of simple singular solutions to the free Weyl equation, which can be interpreted as localised spinors. The `spinorial' data parameterising the asymptotics of the delocalised solutions to the Weyl equation in the presence of the instanton almost determines the background instanton, yet not completely. However, it captures the geometry and symmetry of the underlying instanton configuration.

[ { "created": "Thu, 24 Jul 2003 16:47:36 GMT", "version": "v1" } ]

2008-11-26

[ [ "Manton", "N. S.", "" ], [ "Schunck", "A. F.", "" ] ]

Solutions to the four-dimensional Euclidean Weyl equation in the background of a general JNR N-instanton are known to be normalisable and regular throughout four-space. We show that these solutions are asymptotically given by a linear combination of simple singular solutions to the free Weyl equation, which can be interpreted as localised spinors. The `spinorial' data parameterising the asymptotics of the delocalised solutions to the Weyl equation in the presence of the instanton almost determines the background instanton, yet not completely. However, it captures the geometry and symmetry of the underlying instanton configuration.

13.718842

13.865267

14.814963

12.148952

13.16321

13.363129

12.665948

12.257977

11.863528

15.298245

12.634095

11.520423

12.274238

11.900216

11.927115

11.805139

11.503126

11.913964

11.769965

12.470454

11.851442

2003.10283

Andrei Kovtun

A. Kovtun and M. Zantedeschi

Breaking BEC

null

Journal of High Energy Physics volume 2020, Article number: 212 (2020)

10.1007/JHEP07(2020)212

null

hep-th

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

In this work quantum corrections to the classical evolution of a relativistic scalar condensate are studied. The problem is approached by means of two different perturbative approaches: the 2-particle-irreducible (2PI) effective action and the expansion in the self-coupling. In the weak coupling regime, the decoherence of the classical state is observed. The corresponding timescale is identified with the quantum break-time.

[ { "created": "Mon, 23 Mar 2020 14:02:54 GMT", "version": "v1" } ]

2020-08-06

[ [ "Kovtun", "A.", "" ], [ "Zantedeschi", "M.", "" ] ]

In this work quantum corrections to the classical evolution of a relativistic scalar condensate are studied. The problem is approached by means of two different perturbative approaches: the 2-particle-irreducible (2PI) effective action and the expansion in the self-coupling. In the weak coupling regime, the decoherence of the classical state is observed. The corresponding timescale is identified with the quantum break-time.

7.47773

7.725974

7.434369

6.957367

7.740962

8.079336

8.186145

7.634602

6.804561

7.62789

7.346177

7.299714

7.176828

7.118475

7.212833

7.235317

7.607015

7.272531

6.959002

7.260983

7.065626

hep-th/9710199

null

Clovis Wotzasek

Destructive Interference of Dualities

11 pages, Latex, new abstract and introduction clarify role of some references and put them in their proper chronological order. Final version to appear in Phys. Rev. D

Phys.Rev. D57 (1998) 4990-4994

10.1103/PhysRevD.57.4990

null

hep-th

null

The soldering mechanism has been shown to represent the quantum interference effect between self and anti-self dual aspects of a given symmetry. This mechanism was used to show that the massive mode of the 2D Schwinger model results from the constructive interference between the right and the left massless modes of chiral Schwinger models. Similarly, the topologically massive modes resulting from the bosonization of 3D massive Thirring models of opposite mass signatures, are fused into the two massive modes of the 3D Proca model, thanks to the interference of dualities characteristic of the soldering mechanism. In this work, we show that the field theoretical analog of destructive quantum mechanical interference may also be represented by the soldering mechanism. This phenomenon is illustrated by the fusion of two (diffeomorphism) invariant self-dual scalars described by right and left chiral-WZW actions, producing a Hull non-mover field. After fusion, right and left moving modes disappear from the spectrum, displaying the claimed (destructive) interference of dualities.

[ { "created": "Mon, 27 Oct 1997 22:40:10 GMT", "version": "v1" }, { "created": "Mon, 10 Nov 1997 19:28:26 GMT", "version": "v2" }, { "created": "Mon, 19 Jan 1998 14:34:14 GMT", "version": "v3" } ]

2009-10-30

[ [ "Wotzasek", "Clovis", "" ] ]

The soldering mechanism has been shown to represent the quantum interference effect between self and anti-self dual aspects of a given symmetry. This mechanism was used to show that the massive mode of the 2D Schwinger model results from the constructive interference between the right and the left massless modes of chiral Schwinger models. Similarly, the topologically massive modes resulting from the bosonization of 3D massive Thirring models of opposite mass signatures, are fused into the two massive modes of the 3D Proca model, thanks to the interference of dualities characteristic of the soldering mechanism. In this work, we show that the field theoretical analog of destructive quantum mechanical interference may also be represented by the soldering mechanism. This phenomenon is illustrated by the fusion of two (diffeomorphism) invariant self-dual scalars described by right and left chiral-WZW actions, producing a Hull non-mover field. After fusion, right and left moving modes disappear from the spectrum, displaying the claimed (destructive) interference of dualities.

16.515406

14.924827

16.647856

14.11885

15.199709

13.88125

14.733383

14.20094

13.653307

16.712336

14.038272

15.358894

15.151218

14.419872

14.84443

14.78687

14.901048

14.533446

14.690731

15.29757

14.277727

hep-th/0602238

Taizan Watari

Radu Tatar and Taizan Watari

Proton Decay, Yukawa Couplings and Underlying Gauge Symmetry in String Theory

73 pages

Nucl.Phys.B747:212-265,2006

10.1016/j.nuclphysb.2006.04.025

LTH/689, UCB-PTH-06/02, LBNL-59632

hep-th

null

In string theory, massless particles often originate from a symmetry breaking of a large gauge symmetry G to its subgroup H. The absence of dimension-4 proton decay in supersymmetric theories suggests that (\bar{D},L) are different from \bar{H}(\bar{\bf 5}) in their origins. In this article, we consider a possibility that they come from different irreducible components in $\mathfrak{g}/\mathfrak{h}$. Requiring that all the Yukawa coupling constants of quarks and leptons be generated from the super Yang--Mills interactions of G, we found in the context of Georgi--Glashow H=SU(5) unification that the minimal choice of G is E_7 and E_8 is the only alternative. This idea is systematically implemented in Heterotic String, M theory and F theory, confirming the absence of dimension 4 proton decay operators. Not only H=SU(5) but also G constrain operators of effective field theories, providing non-trivial information.

[ { "created": "Thu, 23 Feb 2006 20:32:44 GMT", "version": "v1" }, { "created": "Mon, 20 Mar 2006 16:31:03 GMT", "version": "v2" } ]

2008-11-26

[ [ "Tatar", "Radu", "" ], [ "Watari", "Taizan", "" ] ]

In string theory, massless particles often originate from a symmetry breaking of a large gauge symmetry G to its subgroup H. The absence of dimension-4 proton decay in supersymmetric theories suggests that (\bar{D},L) are different from \bar{H}(\bar{\bf 5}) in their origins. In this article, we consider a possibility that they come from different irreducible components in $\mathfrak{g}/\mathfrak{h}$. Requiring that all the Yukawa coupling constants of quarks and leptons be generated from the super Yang--Mills interactions of G, we found in the context of Georgi--Glashow H=SU(5) unification that the minimal choice of G is E_7 and E_8 is the only alternative. This idea is systematically implemented in Heterotic String, M theory and F theory, confirming the absence of dimension 4 proton decay operators. Not only H=SU(5) but also G constrain operators of effective field theories, providing non-trivial information.

11.176428

13.209744

11.897964

10.686886

13.437117

12.998906

13.551972

12.235932

11.855184

11.93782

11.621641

11.178027

11.187962

10.680844

10.828971

11.030376

11.37096

10.927299

10.555324

10.469997

11.260606

1208.6251

David Kubiznak

Sharmila Gunasekaran, David Kubiznak, Robert B. Mann

Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization

23 pages, 32 figures, v2: minor changes, upgraded references

null

10.1007/JHEP11(2012)110

pi-stronggrv-291

hep-th

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

We investigate the critical behaviour of charged and rotating AdS black holes in d spacetime dimensions, including effects from non-linear electrodynamics via the Born-Infeld action, in an extended phase space in which the cosmological constant is interpreted as thermodynamic pressure. For Reissner-Nordstrom black holes we find that the analogy with the Van der Walls liquid-gas system holds in any dimension greater than three, and that the critical exponents coincide with those of the Van der Waals system. We find that neutral slowly rotating black holes in four space-time dimensions also have the same qualitative behaviour. However charged and rotating black holes in three spacetime dimensions do not exhibit critical phenomena. For Born-Infeld black holes we define a new thermodynamic quantity B conjugate to the Born-Infeld parameter b that we call Born-Infeld vacuum polarization. We demonstrate that this quantity is required for consistency of both the first law of thermodynamics and the corresponding Smarr relation.

[ { "created": "Thu, 30 Aug 2012 18:21:30 GMT", "version": "v1" }, { "created": "Thu, 15 Nov 2012 20:15:47 GMT", "version": "v2" } ]

2015-06-11

[ [ "Gunasekaran", "Sharmila", "" ], [ "Kubiznak", "David", "" ], [ "Mann", "Robert B.", "" ] ]

We investigate the critical behaviour of charged and rotating AdS black holes in d spacetime dimensions, including effects from non-linear electrodynamics via the Born-Infeld action, in an extended phase space in which the cosmological constant is interpreted as thermodynamic pressure. For Reissner-Nordstrom black holes we find that the analogy with the Van der Walls liquid-gas system holds in any dimension greater than three, and that the critical exponents coincide with those of the Van der Waals system. We find that neutral slowly rotating black holes in four space-time dimensions also have the same qualitative behaviour. However charged and rotating black holes in three spacetime dimensions do not exhibit critical phenomena. For Born-Infeld black holes we define a new thermodynamic quantity B conjugate to the Born-Infeld parameter b that we call Born-Infeld vacuum polarization. We demonstrate that this quantity is required for consistency of both the first law of thermodynamics and the corresponding Smarr relation.

5.754853

5.660511

5.300723

5.273169

5.732978

5.383399

5.520058

5.232659

5.720487

5.671535

5.499048

5.640949

5.482262

5.45705

5.564935

5.478359

5.779196

5.282715

5.577364

5.707595

5.691701

1304.5621

Shogo Kuwakino

Florian Beye, Tatsuo Kobayashi and Shogo Kuwakino

Gauge Symmetries in Heterotic Asymmetric Orbifolds

43 pages, 2 figures

null

10.1016/j.nuclphysb.2013.07.018

CYCU-HEP-13-05, KUNS-2441

hep-th hep-ph

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

We study heterotic asymmetric orbifold models. By utilizing the lattice engineering technique, we classify (22,6)-dimensional Narain lattices with right-moving non-Abelian group factors which can be starting points for Z3 asymmetric orbifold construction. We also calculate gauge symmetry breaking patterns.

[ { "created": "Sat, 20 Apr 2013 10:13:20 GMT", "version": "v1" } ]

2015-06-15

[ [ "Beye", "Florian", "" ], [ "Kobayashi", "Tatsuo", "" ], [ "Kuwakino", "Shogo", "" ] ]

We study heterotic asymmetric orbifold models. By utilizing the lattice engineering technique, we classify (22,6)-dimensional Narain lattices with right-moving non-Abelian group factors which can be starting points for Z3 asymmetric orbifold construction. We also calculate gauge symmetry breaking patterns.

18.818087

16.70521

19.879852

14.262749

14.266936

16.673079

15.377683

13.331138

15.974406

22.920582

13.922381

15.846714

17.075327

16.125195

17.06963

15.691344

16.281158

15.998975

16.132193

17.35531

15.906782

0706.1095

Alexios P. Polychronakos

Noncommutative Fluids

To appear in "Seminaire Poincare X", Institut Henri Poincare, Paris; references added

null

10.1007/978-3-7643-8522-4_3

CCNY-HEP-07/6

hep-th cond-mat.mes-hall math-ph math.MP physics.flu-dyn

null

We review the connection between noncommutative gauge theory, matrix models and fluid mechanical systems. The noncommutative Chern-Simons description of the quantum Hall effect and bosonization of collective fermion states are used as specific examples.

[ { "created": "Thu, 7 Jun 2007 22:46:55 GMT", "version": "v1" }, { "created": "Wed, 27 Jun 2007 22:13:45 GMT", "version": "v2" } ]

2015-05-13

[ [ "Polychronakos", "Alexios P.", "" ] ]

We review the connection between noncommutative gauge theory, matrix models and fluid mechanical systems. The noncommutative Chern-Simons description of the quantum Hall effect and bosonization of collective fermion states are used as specific examples.

10.911903

7.767999

11.676073

9.215969

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8.825369

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8.608188

11.66

8.548118

8.535591

10.780144

8.933132

8.958097

8.736828

8.66481

8.795849

8.675468

10.583824

8.818643

1502.02652

Stephen Adler

Stephen L. Adler

Classical and Quantum Gauged Massless Rarita-Schwinger Fields

Latex, 54 pages. Revised and expanded; in v2, positivity of the anticommutator is shown in covariant radation gauge; in v3, role of \Psi_0=0 gauge is discussed; in v4, many edits and Secs. 3 and 11 are new. Following v4, this paper has been rewritten and split into two papers: arXiv:1508.03380 and arXiv:1508.03382

Phys. Rev. D 92, 085022 (2015)

10.1103/PhysRevD.92.085022

null

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

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

We show that, in contrast to known results in the massive case, a minimally gauged massless Rarita-Schwinger field yields consistent classical and quantum theories, with a generalized fermionic gauge invariance. To simplify the algebra, we study a two-component left chiral reduction of the massless theory. We formulate the classical theory in both Lagrangian and Hamiltonian form for a general non-Abelian gauging, and analyze the constraints and the Rarita-Schwinger gauge invariance of the action. An explicit wave front calculation for Abelian gauge fields shows that wave-like modes do not propagate with superluminal velocities. The quantized case is studied in gauge covariant radiation gauge and $\Psi_0=0$ gauge for the Rarita-Schwinger field, by both functional integral and Dirac bracket methods. In $\Psi_0=0$ gauge, the constraints have the form needed to apply the Faddeev-Popov method for deriving a functional integral. The Dirac bracket approach in $\Psi_0=0$ gauge yields consistent Hamilton equations of motion, and in covariant radiation gauge leads to anticommutation relations with the correct positivity properties. We discuss relativistic covariance of the anticommutation relations, and of Rarita-Schwinger scattering from an Abelian potential. We note that fermionic gauge transformations are a canonical transformation, but further details of the transformation between different fermionic gauges are left as an open problem.

[ { "created": "Mon, 9 Feb 2015 20:59:07 GMT", "version": "v1" }, { "created": "Sun, 22 Feb 2015 20:27:33 GMT", "version": "v2" }, { "created": "Mon, 9 Mar 2015 15:42:48 GMT", "version": "v3" }, { "created": "Thu, 18 Jun 2015 20:19:18 GMT", "version": "v4" }, { "created": "Mon, 17 Aug 2015 14:22:04 GMT", "version": "v5" } ]

2015-10-21

[ [ "Adler", "Stephen L.", "" ] ]

We show that, in contrast to known results in the massive case, a minimally gauged massless Rarita-Schwinger field yields consistent classical and quantum theories, with a generalized fermionic gauge invariance. To simplify the algebra, we study a two-component left chiral reduction of the massless theory. We formulate the classical theory in both Lagrangian and Hamiltonian form for a general non-Abelian gauging, and analyze the constraints and the Rarita-Schwinger gauge invariance of the action. An explicit wave front calculation for Abelian gauge fields shows that wave-like modes do not propagate with superluminal velocities. The quantized case is studied in gauge covariant radiation gauge and $\Psi_0=0$ gauge for the Rarita-Schwinger field, by both functional integral and Dirac bracket methods. In $\Psi_0=0$ gauge, the constraints have the form needed to apply the Faddeev-Popov method for deriving a functional integral. The Dirac bracket approach in $\Psi_0=0$ gauge yields consistent Hamilton equations of motion, and in covariant radiation gauge leads to anticommutation relations with the correct positivity properties. We discuss relativistic covariance of the anticommutation relations, and of Rarita-Schwinger scattering from an Abelian potential. We note that fermionic gauge transformations are a canonical transformation, but further details of the transformation between different fermionic gauges are left as an open problem.

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