LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

2312.11643

Alexandre Serantes

Jorge Casalderrey-Solana, David Mateos, Alexandre Serantes

Quantum Matter near a Cosmological Singularity

6 pages, 4 figures

null

hep-th gr-qc

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

General Relativity predicts that the spacetime near a cosmological singularity undergoes an infinite number of chaotic oscillations between different Kasner epochs with rapid transitions between them. This so-called BKL behaviour persists in the presence of several types of classical matter. Little is known in the presence of quantum effects. A major obstacle is the fact that the fast metric oscillations inevitably drive the matter far from equilibrium. We use holography to determine the evolution of the quantum stress tensor of a non-conformal, strongly-coupled, four-dimensional gauge theory in a Kasner spacetime. The stress tensor near the singularity is solely controlled by the ultraviolet fixed point of the gauge theory, and it diverges in a universal way common to all theories with a gravity dual. We then compute the backreaction of the stress tensor on the Kasner metric to leading order in the gravitational coupling. The modification of the Kasner exponents that we find suggests that the BKL behaviour may be avoided in the presence of quantum matter.

[ { "created": "Mon, 18 Dec 2023 19:00:17 GMT", "version": "v1" } ]

2023-12-20

[ [ "Casalderrey-Solana", "Jorge", "" ], [ "Mateos", "David", "" ], [ "Serantes", "Alexandre", "" ] ]

General Relativity predicts that the spacetime near a cosmological singularity undergoes an infinite number of chaotic oscillations between different Kasner epochs with rapid transitions between them. This so-called BKL behaviour persists in the presence of several types of classical matter. Little is known in the presence of quantum effects. A major obstacle is the fact that the fast metric oscillations inevitably drive the matter far from equilibrium. We use holography to determine the evolution of the quantum stress tensor of a non-conformal, strongly-coupled, four-dimensional gauge theory in a Kasner spacetime. The stress tensor near the singularity is solely controlled by the ultraviolet fixed point of the gauge theory, and it diverges in a universal way common to all theories with a gravity dual. We then compute the backreaction of the stress tensor on the Kasner metric to leading order in the gravitational coupling. The modification of the Kasner exponents that we find suggests that the BKL behaviour may be avoided in the presence of quantum matter.

6.990091

7.425202

7.35039

6.974696

7.443127

6.675869

7.262278

6.684739

6.807882

7.358128

6.920108

7.092079

6.908116

6.891032

6.9757

6.873458

6.797061

6.628559

6.884285

7.274771

6.946645

hep-th/9912184

Andres Gomberoff

Andres Gomberoff and Donald Marolf

Brane Transmutation in Supergravity

19 Pages, 4 figures.Minor changes, 2 references added

JHEP0002:021,2000

10.1088/1126-6708/2000/02/021

SUGP-99/12-1

hep-th gr-qc

null

We study a family of BPS solutions of type IIA supergravity that can be interpreted as describing the `transmutation' of a Neveu-Schwarz five-brane into a D4-brane in the presence of a D6-brane. The D4-brane, which terminates on the D6-brane, can be equally well interpreted as a `pure multipole' configuration of NS5-brane wrapped tightly around the D6-brane. Such a transmutation is a "near-core" version (i.e., near the D6-brane) of the brane-creation that can occur when two branes pass through each other, as in the Hanany-Witten construction. The work below highlights certain charge non-conservation features of type IIA supergravity.

[ { "created": "Mon, 20 Dec 1999 23:17:44 GMT", "version": "v1" }, { "created": "Tue, 7 Mar 2000 16:34:26 GMT", "version": "v2" } ]

2009-10-31

[ [ "Gomberoff", "Andres", "" ], [ "Marolf", "Donald", "" ] ]

We study a family of BPS solutions of type IIA supergravity that can be interpreted as describing the `transmutation' of a Neveu-Schwarz five-brane into a D4-brane in the presence of a D6-brane. The D4-brane, which terminates on the D6-brane, can be equally well interpreted as a `pure multipole' configuration of NS5-brane wrapped tightly around the D6-brane. Such a transmutation is a "near-core" version (i.e., near the D6-brane) of the brane-creation that can occur when two branes pass through each other, as in the Hanany-Witten construction. The work below highlights certain charge non-conservation features of type IIA supergravity.

7.972756

8.010914

8.297216

7.992849

8.26228

7.986538

8.280549

7.733676

7.971312

8.986922

7.407629

7.574096

7.84152

7.680146

7.598106

7.811722

7.582035

7.434212

7.638105

8.217219

7.515025

hep-th/0311183

Marcelo Botta Cantcheff

2-Form Gauge Field Theories and "No Go" for Yang-Mills Relativistic Actions

To be published in Phys. Lett. B

Phys.Lett. B581 (2004) 119-124

10.1016/j.physletb.2003.11.069

null

hep-th

null

The transformation properties of a Kalb-Ramond field are those of a gauge potential. However, it is not clear what is the group structure to which these transformations are associated. In this paper, we complete a program started in previous articles in order to clarify this question. Using the spectral theorem, we improve and generalize previous approaches and find the possible group structures underneath the 2-form gauge potential as extensions of Lie groups, when its representations are assumed to act into any tensor (or spinor) space with inner product. We also obtain a fundamental representation where a two-form field turns out to be a connection on a flat Euclidean basis manifold, with a corresponding canonical curvature. However, we show that these objects are not associated to space-time tensors and, in particular, that a standard Yang-Mills action is not relativistically invariant, except (as expected) in the Abelian case. This is our main result, from the physical point of view.

[ { "created": "Thu, 20 Nov 2003 10:23:05 GMT", "version": "v1" } ]

2009-11-10

[ [ "Cantcheff", "Marcelo Botta", "" ] ]

The transformation properties of a Kalb-Ramond field are those of a gauge potential. However, it is not clear what is the group structure to which these transformations are associated. In this paper, we complete a program started in previous articles in order to clarify this question. Using the spectral theorem, we improve and generalize previous approaches and find the possible group structures underneath the 2-form gauge potential as extensions of Lie groups, when its representations are assumed to act into any tensor (or spinor) space with inner product. We also obtain a fundamental representation where a two-form field turns out to be a connection on a flat Euclidean basis manifold, with a corresponding canonical curvature. However, we show that these objects are not associated to space-time tensors and, in particular, that a standard Yang-Mills action is not relativistically invariant, except (as expected) in the Abelian case. This is our main result, from the physical point of view.

13.768726

14.562391

14.820587

14.341778

15.102578

14.630559

15.640234

14.721021

14.050661

15.369205

14.187343

13.497133

13.79774

13.517138

13.776679

13.802347

13.430872

13.475964

13.305037

13.668063

13.337985

hep-th/0506010

Murat Gunaydin

M. Gunaydin and O. Pavlyk

Generalized spacetimes defined by cubic forms and the minimal unitary realizations of their quasiconformal groups

A typo in equation (37) corrected and missing titles of some references added. Version to be published in JHEP. 38 pages, latex file

JHEP 0508:101,2005

10.1088/1126-6708/2005/08/101

null

hep-th

null

We study the symmetries of generalized spacetimes and corresponding phase spaces defined by Jordan algebras of degree three. The generic Jordan family of formally real Jordan algebras of degree three describe extensions of the Minkowskian spacetimes by an extra "dilatonic" coordinate, whose rotation, Lorentz and conformal groups are SO(d-1), SO(d-1,1) XSO(1,1) and SO(d,2)XSO(2,1), respectively. The generalized spacetimes described by simple Jordan algebras of degree three correspond to extensions of Minkowskian spacetimes in the critical dimensions (d=3,4,6,10) by a dilatonic and extra (2,4,8,16) commuting spinorial coordinates, respectively. The Freudenthal triple systems defined over these Jordan algebras describe conformally covariant phase spaces. Following hep-th/0008063, we give a unified geometric realization of the quasiconformal groups that act on their conformal phase spaces extended by an extra "cocycle" coordinate. For the generic Jordan family the quasiconformal groups are SO(d+2,4), whose minimal unitary realizations are given. The minimal unitary representations of the quasiconformal groups F_4(4), E_6(2), E_7(-5) and E_8(-24) of the simple Jordan family were given in our earlier work hep-th/0409272.

[ { "created": "Wed, 1 Jun 2005 14:05:17 GMT", "version": "v1" }, { "created": "Mon, 20 Jun 2005 17:32:59 GMT", "version": "v2" }, { "created": "Fri, 26 Aug 2005 17:18:36 GMT", "version": "v3" } ]

2010-02-03

[ [ "Gunaydin", "M.", "" ], [ "Pavlyk", "O.", "" ] ]

We study the symmetries of generalized spacetimes and corresponding phase spaces defined by Jordan algebras of degree three. The generic Jordan family of formally real Jordan algebras of degree three describe extensions of the Minkowskian spacetimes by an extra "dilatonic" coordinate, whose rotation, Lorentz and conformal groups are SO(d-1), SO(d-1,1) XSO(1,1) and SO(d,2)XSO(2,1), respectively. The generalized spacetimes described by simple Jordan algebras of degree three correspond to extensions of Minkowskian spacetimes in the critical dimensions (d=3,4,6,10) by a dilatonic and extra (2,4,8,16) commuting spinorial coordinates, respectively. The Freudenthal triple systems defined over these Jordan algebras describe conformally covariant phase spaces. Following hep-th/0008063, we give a unified geometric realization of the quasiconformal groups that act on their conformal phase spaces extended by an extra "cocycle" coordinate. For the generic Jordan family the quasiconformal groups are SO(d+2,4), whose minimal unitary realizations are given. The minimal unitary representations of the quasiconformal groups F_4(4), E_6(2), E_7(-5) and E_8(-24) of the simple Jordan family were given in our earlier work hep-th/0409272.

5.77623

6.074371

6.934815

5.955162

6.35188

6.424924

6.032581

6.222155

5.911966

7.032388

5.95168

5.789335

6.256616

5.975199

6.000606

5.897811

5.871315

5.944982

5.832602

6.168924

5.830587

1312.5001

Mathew Bullimore

Defect Networks and Supersymmetric Loop Operators

63 pages, too many figures

null

hep-th math-ph math.MP

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

We consider topological defect networks with junctions in $A_{N-1}$ Toda CFT and the connection to supersymmetric loop operators in $\mathcal{N} = 2$ theories of class S on a four-sphere. Correlation functions in the presence of topological defect networks are computed by exploiting the monodromy of conformal blocks, generalising the notion of a Verlinde operator. Concentrating on a class of topological defects in $A_2$ Toda theory, we find that the Verlinde operators generate an algebra whose structure is determined by a set of generalised skein relations. These relations encode the representation theory of a quantum group. In the second half of the paper, we explore the dictionary between topological defect networks and supersymmetric loop operators in the $\mathcal{N}=2^*$ star theory by comparing to exact localisation computations. In this context, the the generalised skein relations are related to the operator product expansion of loop operators.

[ { "created": "Tue, 17 Dec 2013 23:19:57 GMT", "version": "v1" } ]

2013-12-19

[ [ "Bullimore", "Mathew", "" ] ]

We consider topological defect networks with junctions in $A_{N-1}$ Toda CFT and the connection to supersymmetric loop operators in $\mathcal{N} = 2$ theories of class S on a four-sphere. Correlation functions in the presence of topological defect networks are computed by exploiting the monodromy of conformal blocks, generalising the notion of a Verlinde operator. Concentrating on a class of topological defects in $A_2$ Toda theory, we find that the Verlinde operators generate an algebra whose structure is determined by a set of generalised skein relations. These relations encode the representation theory of a quantum group. In the second half of the paper, we explore the dictionary between topological defect networks and supersymmetric loop operators in the $\mathcal{N}=2^*$ star theory by comparing to exact localisation computations. In this context, the the generalised skein relations are related to the operator product expansion of loop operators.

6.247162

6.312522

8.306792

6.381774

6.359323

6.66542

6.442239

6.273205

6.279563

8.922558

6.184677

6.227221

7.154336

6.315473

6.497522

6.290468

6.696199

6.445451

6.348277

6.932668

6.413557

hep-th/0410070

Ahmed Jellal

James Gates Jr, Ahmed Jellal, EL Hassan Saidi and Michael Schreiber

Supersymmetric Embedding of the Quantum Hall Matrix Model

30 pages, 3 tables

JHEP 0411 (2004) 075

10.1088/1126-6708/2004/11/075

null

hep-th cond-mat.mes-hall

null

We develop a supersymmetric extension of the Susskind-Polychronakos matrix theory for the quantum Hall fluids. This is done by considering a system combining two sets of different particles and using both a component field method as well as world line superfields. Our construction yields a class of models for fractional quantum Hall systems with two phases U and D involving, respectively $N_1$ bosons and $N_2$ fermions. We build the corresponding supersymmetric matrix action, derive and solve the supersymmetric generalization of the Susskind-Polychronakos constraint equations. We show that the general U(N) gauge invariant solution for the ground state involves two configurations parameterized by the bosonic contribution $k_{1}$ (integer) and in addition a new degree of freedom $k_{2}$, which is restricted to 0 and 1. We study in detail the two particular values of $k_{2}$ and show that the classical (Susskind) filling factor $\nu $ receives no quantum correction. We conclude that the Polychronakos effect is exactly compensated by the opposite fermionic contributions.

[ { "created": "Thu, 7 Oct 2004 09:09:35 GMT", "version": "v1" } ]

2009-11-10

[ [ "Gates", "James", "Jr" ], [ "Jellal", "Ahmed", "" ], [ "Saidi", "EL Hassan", "" ], [ "Schreiber", "Michael", "" ] ]

We develop a supersymmetric extension of the Susskind-Polychronakos matrix theory for the quantum Hall fluids. This is done by considering a system combining two sets of different particles and using both a component field method as well as world line superfields. Our construction yields a class of models for fractional quantum Hall systems with two phases U and D involving, respectively $N_1$ bosons and $N_2$ fermions. We build the corresponding supersymmetric matrix action, derive and solve the supersymmetric generalization of the Susskind-Polychronakos constraint equations. We show that the general U(N) gauge invariant solution for the ground state involves two configurations parameterized by the bosonic contribution $k_{1}$ (integer) and in addition a new degree of freedom $k_{2}$, which is restricted to 0 and 1. We study in detail the two particular values of $k_{2}$ and show that the classical (Susskind) filling factor $\nu $ receives no quantum correction. We conclude that the Polychronakos effect is exactly compensated by the opposite fermionic contributions.

12.57639

13.144236

13.237435

12.231791

13.06545

12.851453

13.103912

12.148211

12.243333

14.276005

12.175581

12.059143

12.266734

11.755814

11.970994

12.023312

12.373063

11.421741

12.124175

12.318783

11.833381

hep-th/9712052

Grundling Hendrik

Hendrik Grundling and C.A. Hurst

Constrained Dynamics for Quantum Mechanics I. Restricting a Particle to a Surface

49 pages, TEX, input files amssym.def, amssym.tex

J.Math.Phys.39:3091-3119,1998

10.1063/1.532241

null

hep-th

null

We analyze constrained quantum systems where the dynamics do not preserve the constraints. This is done in particular for the restriction of a quantum particle in Euclidean n-space to a curved submanifold, and we propose a method of constraining and dynamics adjustment which produces the right Hamiltonian on the submanifold when tested on known examples. This method we hope will become the germ of a full Dirac algorithm for quantum constraints. We take a first step in generalising it to the situation where the constraint is a general selfadjoint operator with some additional structures.

[ { "created": "Fri, 5 Dec 1997 03:10:33 GMT", "version": "v1" } ]

2008-11-26

[ [ "Grundling", "Hendrik", "" ], [ "Hurst", "C. A.", "" ] ]

We analyze constrained quantum systems where the dynamics do not preserve the constraints. This is done in particular for the restriction of a quantum particle in Euclidean n-space to a curved submanifold, and we propose a method of constraining and dynamics adjustment which produces the right Hamiltonian on the submanifold when tested on known examples. This method we hope will become the germ of a full Dirac algorithm for quantum constraints. We take a first step in generalising it to the situation where the constraint is a general selfadjoint operator with some additional structures.

18.121878

20.718645

19.359041

18.22216

21.288256

20.012325

21.92474

18.764437

19.079206

21.147911

18.736639

17.710655

19.882818

18.358044

18.315561

18.455671

17.78931

18.008789

19.450277

20.935349

17.729025

2406.10037

Nicol\'as Grandi

Adolfo Cisterna, Nicolas Grandi, Julio Oliva

De Sitter geometric inflation from dynamical singularities

8 pages, 1 figure

null

hep-th gr-qc

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

Within the framework of geometric inflation, where the Friedmann equation is modified to incorporate an infinite series of higher curvature corrections, we describe the emergence of a de Sitter inflationary phase near the poles of an arbitrary dynamical function. Our analysis is quite general and does not depend on any specific choice of cosmological dynamics.

[ { "created": "Fri, 14 Jun 2024 13:44:19 GMT", "version": "v1" } ]

2024-06-17

[ [ "Cisterna", "Adolfo", "" ], [ "Grandi", "Nicolas", "" ], [ "Oliva", "Julio", "" ] ]

Within the framework of geometric inflation, where the Friedmann equation is modified to incorporate an infinite series of higher curvature corrections, we describe the emergence of a de Sitter inflationary phase near the poles of an arbitrary dynamical function. Our analysis is quite general and does not depend on any specific choice of cosmological dynamics.

12.699817

12.59928

10.314375

10.362263

10.208895

10.48998

11.114407

10.439182

11.419937

10.979019

10.46737

10.205609

10.175748

10.297846

9.676668

10.520121

10.626672

10.15586

9.808824

10.352967

9.900969

hep-th/0107177

Edward Witten

Michael Atiyah and Edward Witten

M-Theory Dynamics On A Manifold Of G_2 Holonomy

100 pp, additional references and minor corrections

Adv.Theor.Math.Phys.6:1-106,2003

null

hep-th

null

We analyze the dynamics of M-theory on a manifold of G_2 holonomy that is developing a conical singularity. The known cases involve a cone on CP^3, where we argue that the dynamics involves restoration of a global symmetry, SU(3)/U(1)^2, where we argue that there are phase transitions among three possible branches corresponding to three classical spacetimes, and S^3 x S^3 and its quotients, where we recover and extend previous results about smooth continuations between different spacetimes and relations to four-dimensional gauge theory.

[ { "created": "Fri, 20 Jul 2001 19:38:24 GMT", "version": "v1" }, { "created": "Tue, 16 Oct 2001 14:06:10 GMT", "version": "v2" }, { "created": "Tue, 1 Jan 2002 19:03:52 GMT", "version": "v3" } ]

2010-04-07

[ [ "Atiyah", "Michael", "" ], [ "Witten", "Edward", "" ] ]

We analyze the dynamics of M-theory on a manifold of G_2 holonomy that is developing a conical singularity. The known cases involve a cone on CP^3, where we argue that the dynamics involves restoration of a global symmetry, SU(3)/U(1)^2, where we argue that there are phase transitions among three possible branches corresponding to three classical spacetimes, and S^3 x S^3 and its quotients, where we recover and extend previous results about smooth continuations between different spacetimes and relations to four-dimensional gauge theory.

13.964076

12.023622

16.081116

12.593995

12.354899

13.066952

11.75166

12.330303

12.029629

16.07099

12.30459

12.679532

13.396096

12.902009

12.737065

12.589726

12.488939

12.777824

12.688891

13.359353

13.098302

2201.04422

Xinan Zhou

Luis F. Alday, Vasco Gon\c{c}alves, Xinan Zhou

Super Gluon Five-Point Amplitudes in AdS Space

6 pages, 3 figures

null

10.1103/PhysRevLett.128.161601

null

hep-th

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

We present the tree-level five-point amplitude of the lowest KK mode of SYM on AdS$_5$$\times$S$^3$, dual to the correlator of the flavor current multiplet in the dual 4d ${\cal N}=2$ SCFT. Its color and kinematical structure is particularly simple and resembles that of the flat-space gluon amplitude.

[ { "created": "Wed, 12 Jan 2022 11:28:48 GMT", "version": "v1" } ]

2022-05-04

[ [ "Alday", "Luis F.", "" ], [ "Gonçalves", "Vasco", "" ], [ "Zhou", "Xinan", "" ] ]

We present the tree-level five-point amplitude of the lowest KK mode of SYM on AdS$_5$$\times$S$^3$, dual to the correlator of the flavor current multiplet in the dual 4d ${\cal N}=2$ SCFT. Its color and kinematical structure is particularly simple and resembles that of the flat-space gluon amplitude.

9.979132

6.540302

9.801291

7.210258

6.917719

7.447451

7.663423

7.118008

7.524644

12.098249

7.305228

7.82062

9.213032

8.073762

8.063245

8.028062

7.620043

7.752598

7.629448

10.256213

7.48816

2211.16062

Josef Kluson

J. Kluson

Action for N D0-Branes Invariant Under Gauged Galilean Transformations

12 pages

null

10.1007/JHEP06(2023)160

null

hep-th

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

In this short note we formulate an action for N D0-branes that is manifestly invariant under gauged Galilean transformations. We also find its canonical form and determine first class constraints that are generators of gauge transformations.

[ { "created": "Tue, 29 Nov 2022 10:16:50 GMT", "version": "v1" } ]

2023-07-12

[ [ "Kluson", "J.", "" ] ]

In this short note we formulate an action for N D0-branes that is manifestly invariant under gauged Galilean transformations. We also find its canonical form and determine first class constraints that are generators of gauge transformations.

13.520187

8.057271

11.034653

8.953007

8.986973

7.839349

8.706491

8.573503

8.928435

11.760907

9.113365

9.989029

10.614697

9.347015

10.105019

9.548305

9.652308

9.835673

9.411752

10.521607

9.054049

1005.4276

Mairi Sakellariadou

William Nelson, Joseph Ochoa, Mairi Sakellariadou

Gravitational Waves in the Spectral Action of Noncommutative Geometry

15 pages, 3 figures

Phys.Rev.D82:085021,2010

10.1103/PhysRevD.82.085021

null

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

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

The spectral triple approach to noncommutative geometry allows one to develop the entire standard model (and supersymmetric extensions) of particle physics from a purely geometry stand point and thus treats both gravity and particle physics on the same footing. The bosonic sector of the theory contains a modification to Einstein-Hilbert gravity, involving a nonconformal coupling of curvature to the Higgs field and conformal Weyl term (in addition to a nondynamical topological term). In this paper we derive the weak field limit of this gravitational theory and show that the production and dynamics of gravitational waves are significantly altered. In particular, we show that the graviton contains a massive mode that alters the energy lost to gravitational radiation, in systems with evolving quadrupole moment. We explicitly calculate the general solution and apply it to systems with periodically varying quadrupole moments, focusing in particular on the the well know energy loss formula for circular binaries.

[ { "created": "Mon, 24 May 2010 08:24:46 GMT", "version": "v1" } ]

2010-10-27

[ [ "Nelson", "William", "" ], [ "Ochoa", "Joseph", "" ], [ "Sakellariadou", "Mairi", "" ] ]

The spectral triple approach to noncommutative geometry allows one to develop the entire standard model (and supersymmetric extensions) of particle physics from a purely geometry stand point and thus treats both gravity and particle physics on the same footing. The bosonic sector of the theory contains a modification to Einstein-Hilbert gravity, involving a nonconformal coupling of curvature to the Higgs field and conformal Weyl term (in addition to a nondynamical topological term). In this paper we derive the weak field limit of this gravitational theory and show that the production and dynamics of gravitational waves are significantly altered. In particular, we show that the graviton contains a massive mode that alters the energy lost to gravitational radiation, in systems with evolving quadrupole moment. We explicitly calculate the general solution and apply it to systems with periodically varying quadrupole moments, focusing in particular on the the well know energy loss formula for circular binaries.

11.314526

12.346347

11.74614

10.974114

12.767693

12.494611

11.697637

11.206836

11.553102

11.909188

11.173463

11.241737

11.091471

10.843604

11.521872

11.159281

11.593338

10.752287

11.377973

11.136282

10.924275

2405.08067

Pyry Kuusela

Philip Candelas, Xenia de la Ossa, Pyry Kuusela

Local Zeta Functions of Multiparameter Calabi-Yau Threefolds from the Picard-Fuchs Equations

The associated Mathematica package can be downloaded from https://github.com/PyryKuusela/CY3Zeta

null

MITP-24-032

hep-th math.NT

http://creativecommons.org/licenses/by-nc-sa/4.0/

The deformation approach of arXiv:2104.07816 for computing zeta functions of one-parameter Calabi-Yau threefolds is generalised to cover also multiparameter manifolds. Consideration of the multiparameter case requires the development of an improved formalism. This allows us, among other things, to make progress on some issues left open in previous work, such as the treatment of apparent and conifold singularities and changes of coordinates. We also discuss the efficient numerical computation of the zeta functions. As examples, we compute the zeta functions of the two-parameter mirror octic, a non-symmetric split of the quintic threefold also with two parameters, and the $S_5$ symmetric five-parameter Hulek-Verrill manifolds. These examples allow us to exhibit the several new types of geometries for which our methods make practical computations possible. They also act as consistency checks, as our results reproduce and extend those of arXiv:hep-th/0409202 and arXiv:math/0304169. To make the methods developed here more approachable, a Mathematica package "CY3Zeta" for computing the zeta functions of Calabi-Yau threefolds, which is attached to this paper, is presented.

[ { "created": "Mon, 13 May 2024 18:00:01 GMT", "version": "v1" } ]

2024-05-15

[ [ "Candelas", "Philip", "" ], [ "de la Ossa", "Xenia", "" ], [ "Kuusela", "Pyry", "" ] ]

The deformation approach of arXiv:2104.07816 for computing zeta functions of one-parameter Calabi-Yau threefolds is generalised to cover also multiparameter manifolds. Consideration of the multiparameter case requires the development of an improved formalism. This allows us, among other things, to make progress on some issues left open in previous work, such as the treatment of apparent and conifold singularities and changes of coordinates. We also discuss the efficient numerical computation of the zeta functions. As examples, we compute the zeta functions of the two-parameter mirror octic, a non-symmetric split of the quintic threefold also with two parameters, and the $S_5$ symmetric five-parameter Hulek-Verrill manifolds. These examples allow us to exhibit the several new types of geometries for which our methods make practical computations possible. They also act as consistency checks, as our results reproduce and extend those of arXiv:hep-th/0409202 and arXiv:math/0304169. To make the methods developed here more approachable, a Mathematica package "CY3Zeta" for computing the zeta functions of Calabi-Yau threefolds, which is attached to this paper, is presented.

9.514529

9.69998

10.063804

9.133649

8.718747

9.550299

8.904749

9.045404

9.173237

10.513514

8.982829

8.861062

9.153415

8.850144

8.719494

8.872704

8.886704

8.848731

8.933801

9.430086

8.845358

1704.05141

Jerome P. Gauntlett

Aristomenis Donos, Jerome P. Gauntlett, Tom Griffin, Nakarin Lohitsiri and Luis Melgar

Holographic DC conductivity and Onsager relations

28 pages. Small changes, references and acknowledgement added. Published version

null

10.1007/JHEP07(2017)006

Imperial/TP/2017/JG/02; DCPT-17/07

hep-th

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

Within holography the DC conductivity can be obtained by solving a system of Stokes equations for an auxiliary fluid living on the black hole horizon. We show that these equations can be derived from a novel variational principle involving a functional that depends on the fluid variables of interest as well as the time reversed quantities. This leads to simple derivation of the Onsager relations for the conductivity. We also obtain the relevant Stokes equations for bulk theories of gravity in four dimensions including a $\vartheta F\wedge F$ term in the Lagrangian, where $\vartheta$ is a function of dynamical scalar fields. We discuss various realisations of the anomalous Hall conductivity that this term induces and also solve the Stokes equations for holographic lattices which break translations in one spatial dimension.

[ { "created": "Mon, 17 Apr 2017 22:27:31 GMT", "version": "v1" }, { "created": "Tue, 27 Jun 2017 17:40:32 GMT", "version": "v2" } ]

2017-08-02

[ [ "Donos", "Aristomenis", "" ], [ "Gauntlett", "Jerome P.", "" ], [ "Griffin", "Tom", "" ], [ "Lohitsiri", "Nakarin", "" ], [ "Melgar", "Luis", "" ] ]

Within holography the DC conductivity can be obtained by solving a system of Stokes equations for an auxiliary fluid living on the black hole horizon. We show that these equations can be derived from a novel variational principle involving a functional that depends on the fluid variables of interest as well as the time reversed quantities. This leads to simple derivation of the Onsager relations for the conductivity. We also obtain the relevant Stokes equations for bulk theories of gravity in four dimensions including a $\vartheta F\wedge F$ term in the Lagrangian, where $\vartheta$ is a function of dynamical scalar fields. We discuss various realisations of the anomalous Hall conductivity that this term induces and also solve the Stokes equations for holographic lattices which break translations in one spatial dimension.

10.15614

9.949312

11.410444

8.911057

10.061075

9.216476

9.295032

9.112896

9.535274

11.705273

8.68891

9.144404

9.82976

9.143559

9.041677

8.750526

9.270901

9.127089

9.085442

9.401561

8.822325

hep-th/9812108

Euro Spallucci

A.Smailagic, E.Spallucci

Spacetime Duality and Two-dimensional Gauge Field Theory

10 pages, no figures, RevTeX

Phys.Lett. B465 (1999) 163-168

10.1016/S0370-2693(99)01071-0

null

hep-th

null

In this letter we implement a recently proposed {\it spacetime duality} approach to dualize a two dimensional, Abelian, gauge field theory, which has no dual version under $p$--duality. Our result suggests that spacetime duality spans a new, wider, class of dual theories, which cannot be related one to another by $p$--duality transformations.

[ { "created": "Mon, 14 Dec 1998 12:15:10 GMT", "version": "v1" } ]

2009-10-31

[ [ "Smailagic", "A.", "" ], [ "Spallucci", "E.", "" ] ]

In this letter we implement a recently proposed {\it spacetime duality} approach to dualize a two dimensional, Abelian, gauge field theory, which has no dual version under $p$--duality. Our result suggests that spacetime duality spans a new, wider, class of dual theories, which cannot be related one to another by $p$--duality transformations.

13.293431

12.430855

12.012807

11.424896

12.000049

11.138523

11.270679

11.142967

11.415457

13.708669

10.844072

10.896211

11.964713

10.88031

10.570736

10.786475

10.936905

11.00371

10.931894

11.74864

10.904621

hep-th/0201127

Toby Wiseman

T. Wiseman

Strong Brane Gravity and the Radion at Low Energies

24 pages, 3 figures

Class.Quant.Grav. 19 (2002) 3083-3106

10.1088/0264-9381/19/11/322

null

hep-th astro-ph gr-qc

null

For the 2-brane Randall-Sundrum model, we calculate the bulk geometry for strong gravity, in the low matter density regime, for slowly varying matter sources. This is relevant for astrophysical or cosmological applications. The warped compactification means the radion can not be written as a homogeneous mode in the orbifold coordinate, and we introduce it by extending the coordinate patch approach of the linear theory to the non-linear case. The negative tension brane is taken to be in vacuum. For conformally invariant matter on the positive tension brane, we solve the bulk geometry as a derivative expansion, formally summing the `Kaluza-Klein' contributions to all orders. For general matter we compute the Einstein equations to leading order, finding a scalar-tensor theory with $\omega(\Psi) \propto \Psi / (1 - \Psi)$, and geometrically interpret the radion. We comment that this radion scalar may become large in the context of strong gravity with low density matter. Equations of state allowing $(\rho - 3 P)$ to be negative, can exhibit behavior where the matter decreases the distance between the 2 branes, which we illustrate numerically for static star solutions using an incompressible fluid. For increasing stellar density, the branes become close before the upper mass limit, but after violation of the dominant energy condition. This raises the interesting question of whether astrophysically reasonable matter, and initial data, could cause branes to collide at low energy, such as in dynamical collapse.

[ { "created": "Wed, 16 Jan 2002 20:45:47 GMT", "version": "v1" } ]

2009-11-07

[ [ "Wiseman", "T.", "" ] ]

For the 2-brane Randall-Sundrum model, we calculate the bulk geometry for strong gravity, in the low matter density regime, for slowly varying matter sources. This is relevant for astrophysical or cosmological applications. The warped compactification means the radion can not be written as a homogeneous mode in the orbifold coordinate, and we introduce it by extending the coordinate patch approach of the linear theory to the non-linear case. The negative tension brane is taken to be in vacuum. For conformally invariant matter on the positive tension brane, we solve the bulk geometry as a derivative expansion, formally summing the `Kaluza-Klein' contributions to all orders. For general matter we compute the Einstein equations to leading order, finding a scalar-tensor theory with $\omega(\Psi) \propto \Psi / (1 - \Psi)$, and geometrically interpret the radion. We comment that this radion scalar may become large in the context of strong gravity with low density matter. Equations of state allowing $(\rho - 3 P)$ to be negative, can exhibit behavior where the matter decreases the distance between the 2 branes, which we illustrate numerically for static star solutions using an incompressible fluid. For increasing stellar density, the branes become close before the upper mass limit, but after violation of the dominant energy condition. This raises the interesting question of whether astrophysically reasonable matter, and initial data, could cause branes to collide at low energy, such as in dynamical collapse.

13.817545

14.467825

14.443403

13.716705

14.775582

14.176853

14.411771

13.846487

13.853212

15.233507

13.427259

13.722223

13.456622

13.599786

13.235772

13.511766

13.245521

13.472154

13.275973

13.57003

13.259454

hep-th/9702165

A. Sen

Ashoke Sen

Orientifold Limit of F-theory Vacua

LaTeX file, 11 pages, additional argument for Calabi-Yau nature of the auxiliary manifold, one extra reference

Phys.Rev.D55:7345-7349,1997

10.1103/PhysRevD.55.R7345

MRI-PHY-970202

hep-th

null

We show how an F-theory compactified on a Calabi-Yau (n+1)-fold in appropriate weak coupling limit reduces formally to an orientifold of type IIB theory compactified on an auxiliary complex n-fold. In some cases (but not always) if the original (n+1)-fold is singular, then the auxiliary n-fold is also singular. We illustrate this by analysing F-theory on elliptically fibered Calabi-Yau 3-folds on base $F_n$.

[ { "created": "Mon, 24 Feb 1997 16:16:41 GMT", "version": "v1" }, { "created": "Mon, 3 Mar 1997 13:38:01 GMT", "version": "v2" } ]

2009-09-15

[ [ "Sen", "Ashoke", "" ] ]

We show how an F-theory compactified on a Calabi-Yau (n+1)-fold in appropriate weak coupling limit reduces formally to an orientifold of type IIB theory compactified on an auxiliary complex n-fold. In some cases (but not always) if the original (n+1)-fold is singular, then the auxiliary n-fold is also singular. We illustrate this by analysing F-theory on elliptically fibered Calabi-Yau 3-folds on base $F_n$.

7.367584

6.890819

9.624813

6.649426

6.814343

6.254045

7.139696

6.792976

6.138036

8.634942

6.614722

6.696591

7.60307

6.728925

6.75698

6.67258

6.670697

6.768393

6.688412

7.102345

6.851707

hep-th/9304135

null

D. Anselmi, M. Bill\'o, P. Fr\'e, L. Girardello, A. Zaffaroni

ALE manifolds and Conformal Field Theory

48 pages, Latex, SISSA/44/92/EP, IFUM/443/FT

Int.J.Mod.Phys.A9:3007-3058,1994

10.1142/S0217751X94001199

null

hep-th

null

We address the problem of constructing the family of (4,4) theories associated with the sigma-model on a parametrized family ${\cal M}_{\zeta}$ of Asymptotically Locally Euclidean (ALE) manifolds. We rely on the ADE classification of these manifolds and on their construction as HyperK\"ahler quotients, due to Kronheimer. So doing we are able to define the family of (4,4) theories corresponding to a ${\cal M}_{\zeta}$ family of ALE manifolds as the deformation of a solvable orbifold ${\bf C}^2 \, / \, \Gamma$ conformal field-theory, $\Gamma$ being a Kleinian group. We discuss the relation among the algebraic structure underlying the topological and metric properties of self-dual 4-manifolds and the algebraic properties of non-rational (4,4)-theories admitting an infinite spectrum of primary fields. In particular, we identify the Hirzebruch signature $\tau$ with the dimension of the local polynomial ring ${\cal R}=\o {{\bf C}[x,y,z]}{\partial W}$ associated with the ADE singularity, with the number of non-trivial conjugacy classes in the corresponding Kleinian group and with the number of short representations of the (4,4)-theory minus four.

[ { "created": "Tue, 27 Apr 1993 15:57:27 GMT", "version": "v1" } ]

2011-07-19

[ [ "Anselmi", "D.", "" ], [ "Billó", "M.", "" ], [ "Fré", "P.", "" ], [ "Girardello", "L.", "" ], [ "Zaffaroni", "A.", "" ] ]

We address the problem of constructing the family of (4,4) theories associated with the sigma-model on a parametrized family ${\cal M}_{\zeta}$ of Asymptotically Locally Euclidean (ALE) manifolds. We rely on the ADE classification of these manifolds and on their construction as HyperK\"ahler quotients, due to Kronheimer. So doing we are able to define the family of (4,4) theories corresponding to a ${\cal M}_{\zeta}$ family of ALE manifolds as the deformation of a solvable orbifold ${\bf C}^2 \, / \, \Gamma$ conformal field-theory, $\Gamma$ being a Kleinian group. We discuss the relation among the algebraic structure underlying the topological and metric properties of self-dual 4-manifolds and the algebraic properties of non-rational (4,4)-theories admitting an infinite spectrum of primary fields. In particular, we identify the Hirzebruch signature $\tau$ with the dimension of the local polynomial ring ${\cal R}=\o {{\bf C}[x,y,z]}{\partial W}$ associated with the ADE singularity, with the number of non-trivial conjugacy classes in the corresponding Kleinian group and with the number of short representations of the (4,4)-theory minus four.

7.502061

7.427472

8.874062

7.130713

7.772686

7.372446

7.526074

7.439753

6.945702

8.850647

7.271489

7.105296

7.324642

7.200392

7.008494

7.117657

6.983778

7.103949

6.984555

7.527684

7.066238

hep-th/9801109

Shamit Kachru

Shamit Kachru (UC, Berkeley and LBNL)

String Duality and Novel Theories without Gravity

13 pages, Latex. Based on a talk at the 31st International Symposium Ahrenshoop on the Theory of Elementary Particles, Buckow, Germany, September 2-6 1997

null

LBNL-41189, UCB-PTH-97/66

hep-th

null

We describe some of the novel 6d quantum field theories which have been discovered in studies of string duality. The role these theories (and their 4d descendants) may play in alleviating the vacuum degeneracy problem in string theory is reviewed. The DLCQ of these field theories is presented as one concrete way of formulating them, independent of string theory.

[ { "created": "Thu, 15 Jan 1998 21:10:49 GMT", "version": "v1" } ]

2007-05-23

[ [ "Kachru", "Shamit", "", "UC, Berkeley and LBNL" ] ]

We describe some of the novel 6d quantum field theories which have been discovered in studies of string duality. The role these theories (and their 4d descendants) may play in alleviating the vacuum degeneracy problem in string theory is reviewed. The DLCQ of these field theories is presented as one concrete way of formulating them, independent of string theory.

10.538177

10.476963

10.053954

9.833465

10.786105

10.573983

10.653111

10.586076

10.819998

11.089249

10.265157

10.163972

10.121561

9.955952

9.910652

10.063434

10.61699

9.754743

9.754519

10.149238

9.740252

1808.02873

Jiaju Zhang

Wu-zhong Guo, Feng-Li Lin, Jiaju Zhang

Distinguishing Black Hole Microstates using Holevo Information

V1, 5+7 pages, 3 figures; V2, discussions on numbers of primary and descendant states refined; V3, 5+7 page, 1+2 figures, references added, published version

Phys. Rev. Lett. 121, 251603 (2018)

10.1103/PhysRevLett.121.251603

null

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

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

We use the Holevo information in a two-dimensional conformal field theory (CFT) with a large central charge $c$ to distinguish microstates from the underlying thermal state. Holographically, the CFT microstates of a thermal state are dual to black hole microstate geometries in three-dimensional anti-de Sitter space. It was found recently that the holographic Holevo information shows plateau behaviors at both short and long interval regions. This indicates that the black hole microstates are indistinguishable from the thermal state by measuring over a small region, and perfectly distinguishable over a region with its size comparable to the whole system. In this letter, we demonstrate that the plateaus are lifted by including the $1/c$ corrections from both the vacuum and non-vacuum conformal families of CFT in either the canonical ensemble or microcanonical ensemble thermal state. Our results imply that the aforementioned indistinguishability and distinguishability of black hole microstate geometries from the underlying black hole are spoiled by higher order Newton constant $G_N$ corrections of quantum gravity.

[ { "created": "Wed, 8 Aug 2018 17:34:23 GMT", "version": "v1" }, { "created": "Wed, 5 Sep 2018 08:55:42 GMT", "version": "v2" }, { "created": "Mon, 24 Dec 2018 14:47:19 GMT", "version": "v3" } ]

2019-01-02

[ [ "Guo", "Wu-zhong", "" ], [ "Lin", "Feng-Li", "" ], [ "Zhang", "Jiaju", "" ] ]

We use the Holevo information in a two-dimensional conformal field theory (CFT) with a large central charge $c$ to distinguish microstates from the underlying thermal state. Holographically, the CFT microstates of a thermal state are dual to black hole microstate geometries in three-dimensional anti-de Sitter space. It was found recently that the holographic Holevo information shows plateau behaviors at both short and long interval regions. This indicates that the black hole microstates are indistinguishable from the thermal state by measuring over a small region, and perfectly distinguishable over a region with its size comparable to the whole system. In this letter, we demonstrate that the plateaus are lifted by including the $1/c$ corrections from both the vacuum and non-vacuum conformal families of CFT in either the canonical ensemble or microcanonical ensemble thermal state. Our results imply that the aforementioned indistinguishability and distinguishability of black hole microstate geometries from the underlying black hole are spoiled by higher order Newton constant $G_N$ corrections of quantum gravity.

8.823251

8.513727

9.279305

7.716589

9.365398

8.165648

8.293415

8.134435

7.957598

10.346231

8.239585

8.091891

8.477586

8.219879

8.068083

8.143764

8.258444

8.339873

8.225798

8.839075

8.160159

hep-th/9304111

null

M. Chaichian, R. Gonzales Felipe and C. Montonen

Statistics of Q-Oscillators, Quons and Relation to Fractional Satistics

21 pages, Latex, HU-TFT-93-23

J.Phys.A26:4017-4034,1993

10.1088/0305-4470/26/16/018

null

hep-th

null

The statistics of $q$-oscillators, quons and to some extent, of anyons are studied and the basic differences among these objects are pointed out. In particular, the statistical distributions for different bosonic and fermionic $q$-oscillators are found for their corresponding Fock space representations in the case when the hamiltonian is identified with the number operator. In this case and for nonrelativistic particles, the single-particle temperature Green function is defined with $q$-deformed periodicity conditions. The equations of state for nonrelativistic and ultrarelativistic bosonic $q$-gases in an arbitrary space dimension are found near Bose statistics, as well as the one for an anyonic gas near Bose and Fermi statistics. The first corrections to the second virial coefficients are also evaluated. The phenomenon of Bose-Einstein condensation in the $q$-deformed gases is also discussed.

[ { "created": "Fri, 23 Apr 1993 12:59:12 GMT", "version": "v1" } ]

2009-10-22

[ [ "Chaichian", "M.", "" ], [ "Felipe", "R. Gonzales", "" ], [ "Montonen", "C.", "" ] ]

The statistics of $q$-oscillators, quons and to some extent, of anyons are studied and the basic differences among these objects are pointed out. In particular, the statistical distributions for different bosonic and fermionic $q$-oscillators are found for their corresponding Fock space representations in the case when the hamiltonian is identified with the number operator. In this case and for nonrelativistic particles, the single-particle temperature Green function is defined with $q$-deformed periodicity conditions. The equations of state for nonrelativistic and ultrarelativistic bosonic $q$-gases in an arbitrary space dimension are found near Bose statistics, as well as the one for an anyonic gas near Bose and Fermi statistics. The first corrections to the second virial coefficients are also evaluated. The phenomenon of Bose-Einstein condensation in the $q$-deformed gases is also discussed.

8.039862

8.695563

8.482198

7.950762

7.910564

8.829288

8.82515

8.541776

8.115333

9.209298

7.900703

7.834776

8.394457

8.008662

8.401681

8.130208

7.868143

7.997291

7.809803

8.556668

7.771585

2103.12185

Ali Seraj

Gravitational breathing memory and dual symmetries

23 pages, 1 figure

null

10.1007/JHEP05(2021)283

null

hep-th gr-qc

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

Brans-Dicke theory contains an additional propagating mode which causes homogeneous expansion and contraction of test bodies in transverse directions. This "breathing" mode is associated with novel memory effects in addition to those of general relativity. Standard tensor mode memories are related to a symmetry principle: they are determined by the balance equations corresponding to the BMS symmetries. In this paper, we show that the leading and subleading breathing memory effects are determined by the balance equations associated with the leading and "overleading" asymptotic symmetries of a dual formulation of the scalar field in terms of a two-form gauge field. The memory effect causes a transition in the vacuum of the dual gauge theory. These results highlight the significance of dual charges and the physical role of overleading asymptotic symmetries.

[ { "created": "Mon, 22 Mar 2021 21:23:02 GMT", "version": "v1" } ]

2021-06-16

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

Brans-Dicke theory contains an additional propagating mode which causes homogeneous expansion and contraction of test bodies in transverse directions. This "breathing" mode is associated with novel memory effects in addition to those of general relativity. Standard tensor mode memories are related to a symmetry principle: they are determined by the balance equations corresponding to the BMS symmetries. In this paper, we show that the leading and subleading breathing memory effects are determined by the balance equations associated with the leading and "overleading" asymptotic symmetries of a dual formulation of the scalar field in terms of a two-form gauge field. The memory effect causes a transition in the vacuum of the dual gauge theory. These results highlight the significance of dual charges and the physical role of overleading asymptotic symmetries.

13.620599

12.554362

12.761749

11.828856

12.615046

12.738855

12.39097

12.004381

12.312105

13.266218

12.596773

12.120472

12.229807

11.722871

11.648024

11.746657

11.964533

11.910738

11.658688

12.139064

12.001554

hep-th/9806011

Oren Bergman

O. Bergman (Harvard), A. Fayyazuddin (Harvard)

String Junction Transitions in the Moduli Space of N=2 SYM

15 pages LaTex, 10 eps figures

Nucl.Phys. B535 (1998) 139-151

10.1016/S0550-3213(98)00553-7

HUTP-98/A027

hep-th

null

The string theory description of BPS states in D-brane world-volume field theories may undergo transitions from open strings to string webs, as well as between different string webs, as one moves in the field theory moduli space. These transitions are driven by the string creation phenomenon. We demonstrate such transitions in the D3-brane realization of N=2 SU(2) Super-Yang-Mills theory.

[ { "created": "Mon, 1 Jun 1998 18:15:59 GMT", "version": "v1" } ]

2009-10-31

[ [ "Bergman", "O.", "", "Harvard" ], [ "Fayyazuddin", "A.", "", "Harvard" ] ]

The string theory description of BPS states in D-brane world-volume field theories may undergo transitions from open strings to string webs, as well as between different string webs, as one moves in the field theory moduli space. These transitions are driven by the string creation phenomenon. We demonstrate such transitions in the D3-brane realization of N=2 SU(2) Super-Yang-Mills theory.

9.43214

8.23155

10.596331

7.686268

7.972894

8.094112

7.511228

6.823728

7.135625

10.638242

7.521676

7.755382

9.907876

7.819739

8.030769

8.177836

7.76831

8.124845

8.159029

9.261024

7.753763

hep-th/9808119

Savdeep Sethi

Sonia Paban, Savdeep Sethi and Mark Stern

Summing Up Instantons in Three-Dimensional Yang-Mills Theories

18 pages, harvmac; a comment added

Adv.Theor.Math.Phys. 3 (1999) 343-361

null

hep-th math.DG

null

We show that the four derivative terms in the effective action of three-dimensional N=8 Yang-Mills theory are determined by supersymmetry. These terms receive both perturbative and non-perturbative corrections. Using our technique for constraining the effective action, we are able to determine the exact form of the eight fermion terms in the supersymmetric completion of the $F^4$ term, including all instanton corrections. As a consequence, we argue that the integral of the Euler density over $k$ monopole moduli space in SU(2) Yang-Mills is determined by our non-renormalization theorem for all values of $k$.

[ { "created": "Wed, 19 Aug 1998 19:15:36 GMT", "version": "v1" }, { "created": "Thu, 3 Sep 1998 20:52:27 GMT", "version": "v2" } ]

2007-05-23

[ [ "Paban", "Sonia", "" ], [ "Sethi", "Savdeep", "" ], [ "Stern", "Mark", "" ] ]

We show that the four derivative terms in the effective action of three-dimensional N=8 Yang-Mills theory are determined by supersymmetry. These terms receive both perturbative and non-perturbative corrections. Using our technique for constraining the effective action, we are able to determine the exact form of the eight fermion terms in the supersymmetric completion of the $F^4$ term, including all instanton corrections. As a consequence, we argue that the integral of the Euler density over $k$ monopole moduli space in SU(2) Yang-Mills is determined by our non-renormalization theorem for all values of $k$.

7.463478

6.341544

8.860961

6.669079

6.207204

6.274663

6.213543

6.500535

6.130054

8.780294

6.16858

6.569786

7.418118

6.765795

6.384388

6.799337

6.561158

6.588187

6.9213

7.199235

6.693366

1407.8191

Sean A. Hartnoll

Sean A. Hartnoll and Raghu Mahajan

Holographic mutual information and distinguishability of Wilson loop and defect operators

1+21 pages. 11 figures

null

10.1007/JHEP02(2015)100

null

hep-th

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

The mutual information of disconnected regions in large $N$ gauge theories with holographic gravity duals can undergo phase transitions. These occur when connected and disconnected bulk Ryu-Takayanagi surfaces exchange dominance. That is, the bulk `soap bubble' snaps as the boundary regions are drawn apart. We give a gauge-theoretic characterization of this transition: States with and without a certain defect operator insertion -- the defect separates the entangled spatial regions -- are shown to be perfectly distinguishable if and only if the Ryu-Takayanagi surface is connected. Meanwhile, states with and without a certain Wilson loop insertion -- the Wilson loop nontrivially threads the spatial regions -- are perfectly distinguishable if and only if the Ryu-Takayanagi surface is disconnected. The quantum relative entropy of two perfectly distinguishable states is infinite. The results are obtained by relating the soap bubble transition to Hawking-Page (deconfinement) transitions in the Renyi entropies, where defect operators and Wilson loops are known to act as order parameters.

[ { "created": "Wed, 30 Jul 2014 20:00:17 GMT", "version": "v1" } ]

2015-06-22

[ [ "Hartnoll", "Sean A.", "" ], [ "Mahajan", "Raghu", "" ] ]

The mutual information of disconnected regions in large $N$ gauge theories with holographic gravity duals can undergo phase transitions. These occur when connected and disconnected bulk Ryu-Takayanagi surfaces exchange dominance. That is, the bulk `soap bubble' snaps as the boundary regions are drawn apart. We give a gauge-theoretic characterization of this transition: States with and without a certain defect operator insertion -- the defect separates the entangled spatial regions -- are shown to be perfectly distinguishable if and only if the Ryu-Takayanagi surface is connected. Meanwhile, states with and without a certain Wilson loop insertion -- the Wilson loop nontrivially threads the spatial regions -- are perfectly distinguishable if and only if the Ryu-Takayanagi surface is disconnected. The quantum relative entropy of two perfectly distinguishable states is infinite. The results are obtained by relating the soap bubble transition to Hawking-Page (deconfinement) transitions in the Renyi entropies, where defect operators and Wilson loops are known to act as order parameters.

9.231065

9.411703

10.051037

8.522655

8.980224

9.208465

8.953918

9.274723

8.408891

11.19913

8.522187

8.266604

8.362744

8.234552

8.408103

8.06095

8.371668

8.449787

8.425462

8.942359

8.286355

0708.3813

Etera R. Livine

Florian Girelli, Etera R. Livine

Non-Commutativity of Effective Space-Time Coordinates and the Minimal Length

5 pages

null

hep-th

null

Considering that a position measurement can effectively involve a momentum-dependent shift and rescaling of the "true" space-time coordinates, we construct a set of effective space-time coordinates which are naturally non-commutative. They lead to a minimum length and are shown to be related to Snyder's coordinates and the five-dimensional formulation of Deformed Special Relativity. This effective approach then provides a natural physical interpretation for both the extra fifth dimension and the deformed momenta appearing in this context.

[ { "created": "Tue, 28 Aug 2007 16:03:30 GMT", "version": "v1" } ]

2007-08-29

[ [ "Girelli", "Florian", "" ], [ "Livine", "Etera R.", "" ] ]

Considering that a position measurement can effectively involve a momentum-dependent shift and rescaling of the "true" space-time coordinates, we construct a set of effective space-time coordinates which are naturally non-commutative. They lead to a minimum length and are shown to be related to Snyder's coordinates and the five-dimensional formulation of Deformed Special Relativity. This effective approach then provides a natural physical interpretation for both the extra fifth dimension and the deformed momenta appearing in this context.

18.465591

15.787213

14.943192

13.716754

15.571449

13.113601

15.837022

15.251343

16.564903

15.019125

15.697197

15.595684

14.475682

14.265337

14.727402

14.427194

14.916745

13.916668

14.783501

15.050731

15.575786

2005.12324

Olaf Lechtenfeld

Sudarshan Ananth, Olaf Lechtenfeld, Hannes Malcha, Hermann Nicolai, Chetan Pandey, Saurabh Pant

Perturbative linearization of supersymmetric Yang-Mills theory

1+29 pages, 2 latex pictures; v2: conventions and gauge issues clarified, 4 references added, matches published version

JHEP 10 (2020) 199

10.1007/JHEP10(2020)199

null

hep-th math-ph math.MP

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

Supersymmetric gauge theories are characterized by the existence of a transformation of the bosonic fields (Nicolai map) such that the Jacobi determinant of the transformation equals the product of the Matthews-Salam-Seiler and Faddeev-Popov determinants. This transformation had been worked out to second order in the coupling constant. In this paper, we extend this result (and the framework itself) to third order in the coupling constant. A diagrammatic approach in terms of tree diagrams, aiming to extend this map to arbitrary orders, is outlined. This formalism bypasses entirely the use of anti-commuting variables, as well as issues concerning the (non-)existence of off-shell formulations for these theories. It thus offers a fresh perspective on supersymmetric gauge theories and, in particular, the ubiquitous $\mathcal N{=}\,4$ theory.

[ { "created": "Mon, 25 May 2020 18:18:47 GMT", "version": "v1" }, { "created": "Mon, 21 Sep 2020 18:52:32 GMT", "version": "v2" } ]

2021-01-13

[ [ "Ananth", "Sudarshan", "" ], [ "Lechtenfeld", "Olaf", "" ], [ "Malcha", "Hannes", "" ], [ "Nicolai", "Hermann", "" ], [ "Pandey", "Chetan", "" ], [ "Pant", "Saurabh", "" ] ]

Supersymmetric gauge theories are characterized by the existence of a transformation of the bosonic fields (Nicolai map) such that the Jacobi determinant of the transformation equals the product of the Matthews-Salam-Seiler and Faddeev-Popov determinants. This transformation had been worked out to second order in the coupling constant. In this paper, we extend this result (and the framework itself) to third order in the coupling constant. A diagrammatic approach in terms of tree diagrams, aiming to extend this map to arbitrary orders, is outlined. This formalism bypasses entirely the use of anti-commuting variables, as well as issues concerning the (non-)existence of off-shell formulations for these theories. It thus offers a fresh perspective on supersymmetric gauge theories and, in particular, the ubiquitous $\mathcal N{=}\,4$ theory.

8.435878

9.061183

10.031098

8.537977

8.284251

8.50931

8.629881

8.957198

8.762921

10.479094

8.845919

8.153864

9.171105

8.352909

8.032597

8.000763

7.920699

8.383878

8.422389

9.337896

7.975532

hep-th/9712239

Riccardo D'Auria

S. Ferrara and C. Fronsdal

Conformal Maxwell theory as a singleton field theory on AdS_5, IIB three-branes and duality

19 pages, TeX, no figures; v2: misprints corrected, references added, discussion on Chern-Simons couplings revised. v3: References added, misprints corrected and a discussion in section 2 revised. v4: Typos corrected and reference added

Class.Quant.Grav.15:2153-2164,1998

10.1088/0264-9381/15/8/004

null

hep-th

null

We examine the boundary conditions associated with extended supersymmetric Maxwell theory in 5-dimensional anti-De Sitter space. Excitations on the boundary are identical to those of ordinary 4-dimensional conformal invariant super electrodynammics. Extrapolations of these excitations give rise to a 5-dimensional topological gauge theory of the singleton type. The possibility of a connection of this phenomenon to the world volume theory of 3-branes in IIB string theory is discussed.

[ { "created": "Sat, 27 Dec 1997 12:41:50 GMT", "version": "v1" }, { "created": "Mon, 26 Jan 1998 12:02:46 GMT", "version": "v2" }, { "created": "Tue, 24 Feb 1998 14:12:27 GMT", "version": "v3" }, { "created": "Thu, 5 Mar 1998 17:07:53 GMT", "version": "v4" } ]

2014-11-18

[ [ "Ferrara", "S.", "" ], [ "Fronsdal", "C.", "" ] ]

We examine the boundary conditions associated with extended supersymmetric Maxwell theory in 5-dimensional anti-De Sitter space. Excitations on the boundary are identical to those of ordinary 4-dimensional conformal invariant super electrodynammics. Extrapolations of these excitations give rise to a 5-dimensional topological gauge theory of the singleton type. The possibility of a connection of this phenomenon to the world volume theory of 3-branes in IIB string theory is discussed.

13.319407

13.501431

15.815492

12.434029

12.473915

12.080345

12.536597

12.762405

12.14125

16.114779

12.401522

12.675318

13.148239

12.423738

12.609107

12.555702

12.379638

12.34231

13.180252

13.230106

12.241701

hep-th/0301177

Jihn E. Kim

$Z_3$ orbifold construction of $SU(3)^3$ GUT with $\sin^2\theta_W^0=3/8$

Latex file of 13 pages

Phys.Lett. B564 (2003) 35-41

10.1016/S0370-2693(03)00567-7

null

hep-th hep-ph

null

It is argued that a phenomenologically viable grand unification model from superstring is $SU(3)^3$, the simplest gauge group among the grand unifications of the electroweak hypercharge embedded in semi-simple groups. We construct a realistic 4D $SU(3)^3$ model with the GUT scale $\sin^2\theta_W^0= \frac38$ in a $Z_3$ orbifold with Wilson line(s). By two GUT scale vacuum expectation values, we obtain a rank 4 supersymmetric standard model below the GUT scale, and predict three more strange families.

[ { "created": "Thu, 23 Jan 2003 15:01:52 GMT", "version": "v1" }, { "created": "Fri, 24 Jan 2003 16:54:40 GMT", "version": "v2" } ]

2009-11-10

[ [ "Kim", "Jihn E.", "" ] ]

It is argued that a phenomenologically viable grand unification model from superstring is $SU(3)^3$, the simplest gauge group among the grand unifications of the electroweak hypercharge embedded in semi-simple groups. We construct a realistic 4D $SU(3)^3$ model with the GUT scale $\sin^2\theta_W^0= \frac38$ in a $Z_3$ orbifold with Wilson line(s). By two GUT scale vacuum expectation values, we obtain a rank 4 supersymmetric standard model below the GUT scale, and predict three more strange families.

12.001199

11.167992

10.26658

10.560066

11.246488

11.104178

11.235108

11.963338

10.140786

10.631637

10.160948

11.270189

10.455356

10.61049

10.876636

10.817503

10.944758

10.80829

10.555681

10.581082

10.676212

1903.10503

Lakshya Bhardwaj

Revisiting the classifications of 6d SCFTs and LSTs

49 pages, v2: References added

null

10.1007/JHEP03(2020)171

null

hep-th

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

Gauge-theoretic anomaly cancellation predicts the existence of many 6d SCFTs and little string theories (LSTs) that have not been given a string theory construction so far. In this paper, we provide an explicit construction of all such "missing" 6d SCFTs and LSTs by using the frozen phase of F-theory. We conjecture that the full set of 6d SCFTs and LSTs is obtained by combining the set of theories constructed in this paper with the set of theories that have been constructed in earlier literature using the unfrozen phase of F-theory. Along the way, we demonstrate that there exist SCFTs that do not descend from LSTs via an RG flow.

[ { "created": "Mon, 25 Mar 2019 18:00:00 GMT", "version": "v1" }, { "created": "Tue, 7 Jan 2020 21:22:01 GMT", "version": "v2" } ]

2020-04-22

[ [ "Bhardwaj", "Lakshya", "" ] ]

Gauge-theoretic anomaly cancellation predicts the existence of many 6d SCFTs and little string theories (LSTs) that have not been given a string theory construction so far. In this paper, we provide an explicit construction of all such "missing" 6d SCFTs and LSTs by using the frozen phase of F-theory. We conjecture that the full set of 6d SCFTs and LSTs is obtained by combining the set of theories constructed in this paper with the set of theories that have been constructed in earlier literature using the unfrozen phase of F-theory. Along the way, we demonstrate that there exist SCFTs that do not descend from LSTs via an RG flow.

5.594124

4.429648

5.713016

4.698986

4.751925

4.780534

5.285348

4.671302

4.528944

6.277379

4.633112

4.718296

5.363683

5.033354

4.910763

4.963762

4.871102

4.892306

4.923432

5.322375

4.880566

hep-th/9607009

Nir Sochen

Integrable Generalized Principal Chiral Models

14 pages, harvmac (l)

Phys.Lett. B391 (1997) 374-380

10.1016/S0370-2693(96)01468-2

LBL-38034, UCB-PTH-96/04

hep-th

null

We study 2D non-linear sigma models on a group manifold with a special form of the metric. We address the question of integrability for this special class of sigma models. We derive two algebraic conditions for the metric on the group manifold. Each solution of these conditions defines an integrable model. Although the algebraic system is overdetermined in general, we give two examples of solutions. We find the Lax field for these models and calculate their Poisson brackets. We also obtain the renormalization group (RG) equations, to first order, for the generic model. We solve the RG equations for the examples we have and show that they are integrable along the RG flow.

[ { "created": "Mon, 1 Jul 1996 21:23:05 GMT", "version": "v1" } ]

2009-10-30

[ [ "Sochen", "Nir", "" ] ]

We study 2D non-linear sigma models on a group manifold with a special form of the metric. We address the question of integrability for this special class of sigma models. We derive two algebraic conditions for the metric on the group manifold. Each solution of these conditions defines an integrable model. Although the algebraic system is overdetermined in general, we give two examples of solutions. We find the Lax field for these models and calculate their Poisson brackets. We also obtain the renormalization group (RG) equations, to first order, for the generic model. We solve the RG equations for the examples we have and show that they are integrable along the RG flow.

7.576672

7.012145

8.086318

6.745118

7.532933

7.112336

7.287973

6.65161

7.05362

8.310913

6.819447

7.080803

7.761614

6.939177

7.257844

7.033531

6.798024

7.081178

6.912969

7.480767

6.854827

2312.14744

Adwait Gaikwad

Adwait Gaikwad, Amitay C. Kislev, Tom Levy and Yaron Oz

Boundary Liouville Conformal Field Theory in Four Dimensions

null

hep-th

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

Higher dimensional Euclidean Liouville conformal field theories (LCFTs) consist of a log-correlated real scalar field with a background charge and an exponential potential. We analyse the LCFT on a four-dimensional manifold with a boundary. We extend to the boundary, the conformally covariant GJMS operator and the ${\cal Q}$-curvature term in the LCFT action and classify the conformal boundary conditions. Working on a flat space with plate boundary, we calculate the dimensions of the boundary conformal primary operators, the two- and three-point functions of the displacement operator and the boundary conformal anomaly coefficients.

[ { "created": "Fri, 22 Dec 2023 14:53:06 GMT", "version": "v1" }, { "created": "Thu, 25 Jul 2024 07:39:37 GMT", "version": "v2" } ]

2024-07-26

[ [ "Gaikwad", "Adwait", "" ], [ "Kislev", "Amitay C.", "" ], [ "Levy", "Tom", "" ], [ "Oz", "Yaron", "" ] ]

Higher dimensional Euclidean Liouville conformal field theories (LCFTs) consist of a log-correlated real scalar field with a background charge and an exponential potential. We analyse the LCFT on a four-dimensional manifold with a boundary. We extend to the boundary, the conformally covariant GJMS operator and the ${\cal Q}$-curvature term in the LCFT action and classify the conformal boundary conditions. Working on a flat space with plate boundary, we calculate the dimensions of the boundary conformal primary operators, the two- and three-point functions of the displacement operator and the boundary conformal anomaly coefficients.

10.822864

9.175084

11.964114

9.45603

9.819966

9.72479

9.906265

8.562054

9.007586

13.179928

8.856946

10.168107

10.900379

9.963432

9.902961

9.833409

9.686956

10.086884

9.59563

11.072555

10.118847

hep-th/0301194

Vitorio A. De Lorenci

V. A. De Lorenci and E. S. Moreira, Jr. (UNIFEI-Itajuba')

Renormalized scalar propagator around a dispiration

7 pages, 5 figures. This revised version (to appear in the journal) includes evaluation of the energy momentum tensor

Phys.Rev. D67 (2003) 124002

10.1103/PhysRevD.67.124002

null

hep-th cond-mat gr-qc

null

The renormalized Feynman propagator for a scalar field in the background of a cosmic dispiration (a disclination plus a screw dislocation) is derived, opening a window to investigate vacuum polarization effects around a cosmic string with dislocation, as well as in the bulk of an elastic solid carrying a dispiration. The use of the propagator is illustrated by computing vacuum fluctuations. In particular it is shown that the dispiration polarizes the vacuum giving rise to an energy momentum tensor which, as seen from a local inertial frame, presents non vanishing off-diagonal components. Such a new effect resembles that where an induced vacuum current arises around a needle solenoid carrying a magnetic flux (the Aharonov-Bohm effect), and may have physical consequences. Connections with a closely related background, namely the spacetime of a spinning cosmic string, are briefly addressed.

[ { "created": "Fri, 24 Jan 2003 13:45:56 GMT", "version": "v1" }, { "created": "Mon, 26 May 2003 21:36:46 GMT", "version": "v2" } ]

2012-08-27

[ [ "De Lorenci", "V. A.", "", "UNIFEI-Itajuba'" ], [ "Moreira,", "E. S.", "Jr.", "UNIFEI-Itajuba'" ] ]

The renormalized Feynman propagator for a scalar field in the background of a cosmic dispiration (a disclination plus a screw dislocation) is derived, opening a window to investigate vacuum polarization effects around a cosmic string with dislocation, as well as in the bulk of an elastic solid carrying a dispiration. The use of the propagator is illustrated by computing vacuum fluctuations. In particular it is shown that the dispiration polarizes the vacuum giving rise to an energy momentum tensor which, as seen from a local inertial frame, presents non vanishing off-diagonal components. Such a new effect resembles that where an induced vacuum current arises around a needle solenoid carrying a magnetic flux (the Aharonov-Bohm effect), and may have physical consequences. Connections with a closely related background, namely the spacetime of a spinning cosmic string, are briefly addressed.

10.45222

9.181863

9.401267

8.766831

9.017734

9.265558

9.886728

8.679631

8.98107

10.184629

9.272551

10.048694

9.862067

9.488376

9.721987

9.70107

9.668573

9.46438

9.672865

9.77122

9.768593

1708.02894

Rob Klabbers

Rob Klabbers and Stijn J. van Tongeren

Quantum Spectral Curve for the eta-deformed AdS_5xS^5 superstring

32+37 pages; 6 figures. v2: added references

null

10.1016/j.nuclphysb.2017.10.005

null

hep-th math-ph math.MP

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

The spectral problem for the ${\rm AdS}_5\times {\rm S}^5$ superstring and its dual planar maximally supersymmetric Yang-Mills theory can be efficiently solved through a set of functional equations known as the quantum spectral curve. We discuss how the same concepts apply to the $\eta$-deformed ${\rm AdS}_5\times {\rm S}^5$ superstring, an integrable deformation of the ${\rm AdS}_5\times {\rm S}^5$ superstring with quantum group symmetry. This model can be viewed as a trigonometric version of the ${\rm AdS}_5\times {\rm S}^5$ superstring, like the relation between the XXZ and XXX spin chains, or the sausage and the ${\rm S}^2$ sigma models for instance. We derive the quantum spectral curve for the $\eta$-deformed string by reformulating the corresponding ground-state thermodynamic Bethe ansatz equations as an analytic $Y$ system, and map this to an analytic $T$ system which upon suitable gauge fixing leads to a $\mathbf{P} \mu$ system -- the quantum spectral curve. We then discuss constraints on the asymptotics of this system to single out particular excited states. At the spectral level the $\eta$-deformed string and its quantum spectral curve interpolate between the ${\rm AdS}_5\times {\rm S}^5$ superstring and a superstring on "mirror" ${\rm AdS}_5\times {\rm S}^5$, reflecting a more general relationship between the spectral and thermodynamic data of the $\eta$-deformed string. In particular, the spectral problem of the mirror ${\rm AdS}_5\times {\rm S}^5$ string, and the thermodynamics of the undeformed ${\rm AdS}_5\times {\rm S}^5$ string, are described by a second rational limit of our trigonometric quantum spectral curve, distinct from the regular undeformed limit.

[ { "created": "Wed, 9 Aug 2017 16:20:07 GMT", "version": "v1" }, { "created": "Thu, 7 Sep 2017 12:48:39 GMT", "version": "v2" } ]

2018-03-14

[ [ "Klabbers", "Rob", "" ], [ "van Tongeren", "Stijn J.", "" ] ]

The spectral problem for the ${\rm AdS}_5\times {\rm S}^5$ superstring and its dual planar maximally supersymmetric Yang-Mills theory can be efficiently solved through a set of functional equations known as the quantum spectral curve. We discuss how the same concepts apply to the $\eta$-deformed ${\rm AdS}_5\times {\rm S}^5$ superstring, an integrable deformation of the ${\rm AdS}_5\times {\rm S}^5$ superstring with quantum group symmetry. This model can be viewed as a trigonometric version of the ${\rm AdS}_5\times {\rm S}^5$ superstring, like the relation between the XXZ and XXX spin chains, or the sausage and the ${\rm S}^2$ sigma models for instance. We derive the quantum spectral curve for the $\eta$-deformed string by reformulating the corresponding ground-state thermodynamic Bethe ansatz equations as an analytic $Y$ system, and map this to an analytic $T$ system which upon suitable gauge fixing leads to a $\mathbf{P} \mu$ system -- the quantum spectral curve. We then discuss constraints on the asymptotics of this system to single out particular excited states. At the spectral level the $\eta$-deformed string and its quantum spectral curve interpolate between the ${\rm AdS}_5\times {\rm S}^5$ superstring and a superstring on "mirror" ${\rm AdS}_5\times {\rm S}^5$, reflecting a more general relationship between the spectral and thermodynamic data of the $\eta$-deformed string. In particular, the spectral problem of the mirror ${\rm AdS}_5\times {\rm S}^5$ string, and the thermodynamics of the undeformed ${\rm AdS}_5\times {\rm S}^5$ string, are described by a second rational limit of our trigonometric quantum spectral curve, distinct from the regular undeformed limit.

4.035759

3.902233

5.032978

3.93165

4.107313

3.991333

4.090206

4.037735

3.972926

5.040639

4.056667

4.07268

4.401592

4.165021

4.098829

4.100849

4.088037

4.057665

4.098118

4.432978

4.143341

2005.03701

Alberto Lerda

S.K. Ashok, M.Billo, M. Frau, A. Lerda, S. Mahato

Surface Defects from Fractional Branes -- II

37 pages

JHEP 2020 Article number: 58 (2020)

10.1007/JHEP08(2020)058

null

hep-th

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

A generic half-BPS surface defect of ${\mathcal N}=4$ supersymmetric U$(N)$ Yang-Mills theory is described by a partition of $N = n_1 + \ldots + n_M$ and a set of $4M$ continuous parameters. We show that such a defect can be realized by $n_I$ stacks of fractional D3-branes in Type II B string theory on a $\mathbb{Z}_M$ orbifold background in which the brane world-volume is partially extended along the orbifold directions. In this set up we show that the $4M$ continuous parameters correspond to constant background values of certain twisted closed string scalars of the orbifold. These results extend and generalize what we have presented for the simple defects in a previous paper.

[ { "created": "Thu, 7 May 2020 18:49:39 GMT", "version": "v1" } ]

2020-09-01

[ [ "Ashok", "S. K.", "" ], [ "Billo", "M.", "" ], [ "Frau", "M.", "" ], [ "Lerda", "A.", "" ], [ "Mahato", "S.", "" ] ]

A generic half-BPS surface defect of ${\mathcal N}=4$ supersymmetric U$(N)$ Yang-Mills theory is described by a partition of $N = n_1 + \ldots + n_M$ and a set of $4M$ continuous parameters. We show that such a defect can be realized by $n_I$ stacks of fractional D3-branes in Type II B string theory on a $\mathbb{Z}_M$ orbifold background in which the brane world-volume is partially extended along the orbifold directions. In this set up we show that the $4M$ continuous parameters correspond to constant background values of certain twisted closed string scalars of the orbifold. These results extend and generalize what we have presented for the simple defects in a previous paper.

7.05353

6.50498

7.524344

6.249935

6.265182

6.233773

6.038354

5.977674

6.291814

9.037483

5.862986

6.038705

6.706796

6.175653

5.89905

6.057245

6.117938

6.05026

6.2778

6.642759

6.100611

1501.07548

Paul K. Townsend

Alex S. Arvanitakis, Alexander Sevrin and Paul K. Townsend

Yang-Mills as massive Chern-Simons theory: a third way to three-dimensional gauge theories

5 pages. New title in v.2 to accord with published version. Also includes minor corrections and two additional paragraphs

Phys. Rev. Lett. 114, 181603 (2015)

10.1103/PhysRevLett.114.181603

DAMTP-2015-8

hep-th math-ph math.MP

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

The Yang-Mills (YM) equation in three spacetime dimensions (3D) can be modified to include a novel parity-preserving interaction term, with inverse mass parameter, in addition to a possible topological mass term. The novelty is that the modified YM equation is not the Euler-Lagrange equation of any gauge-invariant local action for the YM gauge potential alone. Instead, consistency is achieved in the "third way" exploited by 3D "minimal massive gravity". We relate our results to the "novel Higgs mechanism" for Chern-Simons gauge theories.

[ { "created": "Thu, 29 Jan 2015 19:13:21 GMT", "version": "v1" }, { "created": "Sun, 26 Apr 2015 19:00:42 GMT", "version": "v2" } ]

2015-05-13

[ [ "Arvanitakis", "Alex S.", "" ], [ "Sevrin", "Alexander", "" ], [ "Townsend", "Paul K.", "" ] ]

The Yang-Mills (YM) equation in three spacetime dimensions (3D) can be modified to include a novel parity-preserving interaction term, with inverse mass parameter, in addition to a possible topological mass term. The novelty is that the modified YM equation is not the Euler-Lagrange equation of any gauge-invariant local action for the YM gauge potential alone. Instead, consistency is achieved in the "third way" exploited by 3D "minimal massive gravity". We relate our results to the "novel Higgs mechanism" for Chern-Simons gauge theories.

11.646897

10.593322

12.308046

10.245805

10.893608

10.732021

11.356725

10.334311

10.48094

13.858334

10.306769

10.099532

11.324476

10.736162

10.691922

10.697613

10.745665

10.727365

11.070292

11.124192

10.328431

1906.01590

Marcela Pel\'aez

Mat\'ias Fern\'andez and Marcela Pel\'aez

On the contribution of different coupling constants in the infrared regime of Yang-Mills theory: a Curci-Ferrari approach

8 pages, 5 figures

null

10.1142/S0217751X19502142

null

hep-th hep-lat hep-ph

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

We investigate the influence of the different vertices of two-point correlation functions in the infrared regime of Yang-Mills theory using a phenomenological description. This regime is studied in Landau-gauge and using perturbation theory within a phenomenological massive model. We perform a one-loop calculation for two-point correlation functions taking into account the different role of the various interactions in the infrared. Our results show a good agreement with the lattice data.

[ { "created": "Tue, 4 Jun 2019 17:08:58 GMT", "version": "v1" }, { "created": "Tue, 12 Nov 2019 17:07:06 GMT", "version": "v2" } ]

2020-01-08

[ [ "Fernández", "Matías", "" ], [ "Peláez", "Marcela", "" ] ]

We investigate the influence of the different vertices of two-point correlation functions in the infrared regime of Yang-Mills theory using a phenomenological description. This regime is studied in Landau-gauge and using perturbation theory within a phenomenological massive model. We perform a one-loop calculation for two-point correlation functions taking into account the different role of the various interactions in the infrared. Our results show a good agreement with the lattice data.

13.37662

12.537617

12.357839

11.669444

11.708544

12.588059

12.081932

12.188334

11.9541

12.032389

11.611064

12.860936

11.704349

12.063629

11.927206

12.54081

12.353134

12.73348

11.942777

12.133928

12.296153

hep-th/0302120

Shahn Majid

S. Majid

Noncommutative physics on Lie algebras, Z_2^n lattices and Clifford algebras

Final version to appear in Clifford Algebras: Application to Mathematics, Physics, and Engineering, ed. R. Ablamowicz, Birkhauser (2003); added a couple of references and fixed typos (no significant revision). 24 pages, 1 .eps figure

null

hep-th math.QA

null

We survey noncommutative spacetimes with coordinates being enveloping algebras of Lie algebras. We also explain how to do differential geometry on noncommutative spaces that are obtained from commutative ones via a Moyal-product type cocycle twist, such as the noncommutative torus, $\theta$-spaces and Clifford algebras. The latter are noncommutative deformations of the finite lattice $(\Z_2)^n$ and we compute their noncommutative de Rham cohomology and moduli of solutions of Maxwell's equations. We exactly quantize noncommutative U(1)-Yang-Mills theory on $\Z_2\times\Z_2$ in a path integral approach.

[ { "created": "Sun, 16 Feb 2003 18:41:35 GMT", "version": "v1" }, { "created": "Thu, 9 Oct 2003 10:31:17 GMT", "version": "v2" } ]

2007-05-23

[ [ "Majid", "S.", "" ] ]

We survey noncommutative spacetimes with coordinates being enveloping algebras of Lie algebras. We also explain how to do differential geometry on noncommutative spaces that are obtained from commutative ones via a Moyal-product type cocycle twist, such as the noncommutative torus, $\theta$-spaces and Clifford algebras. The latter are noncommutative deformations of the finite lattice $(\Z_2)^n$ and we compute their noncommutative de Rham cohomology and moduli of solutions of Maxwell's equations. We exactly quantize noncommutative U(1)-Yang-Mills theory on $\Z_2\times\Z_2$ in a path integral approach.

7.89487

9.056784

7.719055

7.682434

7.595809

7.528669

7.74089

8.189095

7.644825

8.772125

7.595809

7.219645

7.279366

7.233912

7.125031

7.082584

7.346944

6.95635

7.239766

7.328939

6.929452

hep-th/0007040

Sergei Kharchev

S. Kharchev, D. Lebedev

Integral representations for the eigenfunctions of quantum open and periodic Toda chains from QISM formalism

Latex+amssymb.sty, 14 pages

J.Phys.A34:2247-2258,2001

10.1088/0305-4470/34/11/317

ITEP-TH-34/00

hep-th

null

The integral representations for the eigenfunctions of $N$ particle quantum open and periodic Toda chains are constructed in the framework of Quantum Inverse Scattering Method (QISM). Both periodic and open $N$-particle solutions have essentially the same structure being written as a generalized Fourier transform over the eigenfunctions of the $N-1$ particle open Toda chain with the kernels satisfying to the Baxter equations of the second and first order respectively. In the latter case this leads to recurrent relations which result to representation of the Mellin-Barnes type for solutions of an open chain. As byproduct, we obtain the Gindikin-Karpelevich formula for the Harish-Chandra function in the case of $GL(N,\RR)$ group.

[ { "created": "Wed, 5 Jul 2000 21:31:09 GMT", "version": "v1" } ]

2008-11-26

[ [ "Kharchev", "S.", "" ], [ "Lebedev", "D.", "" ] ]

The integral representations for the eigenfunctions of $N$ particle quantum open and periodic Toda chains are constructed in the framework of Quantum Inverse Scattering Method (QISM). Both periodic and open $N$-particle solutions have essentially the same structure being written as a generalized Fourier transform over the eigenfunctions of the $N-1$ particle open Toda chain with the kernels satisfying to the Baxter equations of the second and first order respectively. In the latter case this leads to recurrent relations which result to representation of the Mellin-Barnes type for solutions of an open chain. As byproduct, we obtain the Gindikin-Karpelevich formula for the Harish-Chandra function in the case of $GL(N,\RR)$ group.

9.706099

8.985601

12.078546

8.777471

10.580538

10.660222

9.644927

9.116297

9.476202

11.975604

8.746724

8.787844

9.755115

8.77574

9.288151

8.594263

9.234535

8.794318

9.072364

9.803525

8.985662

1708.08017

Marcello Ortaggio

Marcello Ortaggio, Vojt\v{e}ch Pravda

Electromagnetic fields with vanishing quantum corrections

7 pages. v2: presentation of the type III conditions improved, discussion extended, new refs

Phys.Lett. B779 (2018) 393-395

10.1016/j.physletb.2018.01.024

null

hep-th gr-qc

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

We show that a large class of null electromagnetic fields are immune to any modifications of Maxwell's equations in the form of arbitrary powers and derivatives of the field strength. These are thus exact solutions to virtually any generalized classical electrodynamics containing both non-linear terms and higher derivatives, including, e.g., non-linear electrodynamics as well as QED- and string-motivated effective theories. This result holds not only in a flat or (anti-)de Sitter background, but also in a larger subset of Kundt spacetimes, which allow for the presence of aligned gravitational waves and pure radiation.

[ { "created": "Sat, 26 Aug 2017 20:22:55 GMT", "version": "v1" }, { "created": "Wed, 7 Mar 2018 02:12:46 GMT", "version": "v2" } ]

2018-03-09

[ [ "Ortaggio", "Marcello", "" ], [ "Pravda", "Vojtěch", "" ] ]

We show that a large class of null electromagnetic fields are immune to any modifications of Maxwell's equations in the form of arbitrary powers and derivatives of the field strength. These are thus exact solutions to virtually any generalized classical electrodynamics containing both non-linear terms and higher derivatives, including, e.g., non-linear electrodynamics as well as QED- and string-motivated effective theories. This result holds not only in a flat or (anti-)de Sitter background, but also in a larger subset of Kundt spacetimes, which allow for the presence of aligned gravitational waves and pure radiation.

10.545725

11.391225

9.014163

9.482623

10.703397

11.285021

10.6581

9.392928

10.459634

10.0842

9.948864

9.882378

10.139299

9.810483

9.970967

10.416069

9.866747

9.864456

10.19471

10.122155

10.187671

hep-th/9404153

null

D.V. Volkov

Supergravity before and after 1976

8 pages, latex, CERN-TH.7226/94

null

hep-th

null

This paper is part of the lecture given at the TH Division of CERN and devoted to the CXXV anniversary of the birthday of Elie Cartan (1869-1951). It is shown how the methods of differential geometry, due to E. Cartan, were applied to the construction of the supersymmetry transformation law and to the actions for Goldstone fermions and supergravity.

[ { "created": "Mon, 25 Apr 1994 09:04:49 GMT", "version": "v1" } ]

2007-05-23

[ [ "Volkov", "D. V.", "" ] ]

This paper is part of the lecture given at the TH Division of CERN and devoted to the CXXV anniversary of the birthday of Elie Cartan (1869-1951). It is shown how the methods of differential geometry, due to E. Cartan, were applied to the construction of the supersymmetry transformation law and to the actions for Goldstone fermions and supergravity.

10.250136

9.918999

10.515072

9.194963

10.160871

9.562399

11.923939

9.767575

8.833725

10.662962

8.795051

8.607875

9.230293

8.851281

8.598617

9.494658

8.834046

8.935878

8.67702

8.749413

8.596997

hep-th/0510019

Luca Mezincescu

Evgeny Ivanov, Luca Mezincescu and Paul K. Townsend

Planar Super-Landau Models

23 pages, Note Added, References, Acknowledgments

JHEP0601:143,2006

10.1088/1126-6708/2006/01/143

DAMTP-05-88

hep-th cond-mat.mes-hall quant-ph

null

In previous papers we solved the Landau problems, indexed by 2M, for a particle on the ``superflag'' S U (2|1)/[U (1) x U (1)], the M = 0 case being equivalent to the Landau problem for a particle on the ``supersphere'' S U (2|1)/[U (1|1)]. Here we solve these models in the planar limit. For M = 0 we have a particle on the complex superplane C(1|1) ; its Hilbert space is the tensor product of that of the Landau model with the 4-state space of a ``fermionic'' Landau model. Only the lowest level is ghost-free, but for M > 0 there are no ghosts in the first [2M ]+1 levels. When 2M is an integer, the ([2M ] + 1)th level states form short supermultiplets as a consequence of a fermionic gauge invariance analogous to the ``kappa-symmetry'' of the superparticle.

[ { "created": "Mon, 3 Oct 2005 18:51:59 GMT", "version": "v1" }, { "created": "Tue, 4 Oct 2005 14:24:00 GMT", "version": "v2" }, { "created": "Thu, 20 Oct 2005 19:36:10 GMT", "version": "v3" }, { "created": "Fri, 21 Oct 2005 12:57:45 GMT", "version": "v4" } ]

2009-11-11

[ [ "Ivanov", "Evgeny", "" ], [ "Mezincescu", "Luca", "" ], [ "Townsend", "Paul K.", "" ] ]

In previous papers we solved the Landau problems, indexed by 2M, for a particle on the ``superflag'' S U (2|1)/[U (1) x U (1)], the M = 0 case being equivalent to the Landau problem for a particle on the ``supersphere'' S U (2|1)/[U (1|1)]. Here we solve these models in the planar limit. For M = 0 we have a particle on the complex superplane C(1|1) ; its Hilbert space is the tensor product of that of the Landau model with the 4-state space of a ``fermionic'' Landau model. Only the lowest level is ghost-free, but for M > 0 there are no ghosts in the first [2M ]+1 levels. When 2M is an integer, the ([2M ] + 1)th level states form short supermultiplets as a consequence of a fermionic gauge invariance analogous to the ``kappa-symmetry'' of the superparticle.

8.394305

8.418149

9.186085

7.700605

7.90037

8.687968

8.494453

8.00434

7.885424

8.940146

7.60568

7.725348

8.281362

7.818545

7.90472

7.747064

7.556559

7.783238

7.455497

8.442284

7.430083

1506.03328

Bengt E. W. Nilsson

Bengt E.W. Nilsson

On the conformal higher spin unfolded equation for a three-dimensional self-interacting scalar field

v2: 20 pages, misprints corrected, footnotes added

null

10.1007/JHEP08(2016)142

null

hep-th

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

We propose field equations for the conformal higher spin system in three dimensions coupled to a conformal scalar field with a sixth order potential. Both the higher spin equation and the unfolded equation for the scalar field have source terms and are based on a conformal higher spin algebra which we treat as an expansion in multi-commutators. Explicit expressions for the source terms are suggested and subjected to some simple tests. We also discuss a cascading relation between the Chern-Simons action for the higher spin gauge theory and an action containing a term for each spin that generalizes the spin 2 Chern-Simons action in terms of the spin connection expressed in terms of the frame field. This cascading property is demonstrated in the free theory for spin 3 but should work also in the complete higher spin theory.

[ { "created": "Wed, 10 Jun 2015 14:37:43 GMT", "version": "v1" }, { "created": "Mon, 22 Feb 2016 11:59:11 GMT", "version": "v2" } ]

2016-09-21

[ [ "Nilsson", "Bengt E. W.", "" ] ]

We propose field equations for the conformal higher spin system in three dimensions coupled to a conformal scalar field with a sixth order potential. Both the higher spin equation and the unfolded equation for the scalar field have source terms and are based on a conformal higher spin algebra which we treat as an expansion in multi-commutators. Explicit expressions for the source terms are suggested and subjected to some simple tests. We also discuss a cascading relation between the Chern-Simons action for the higher spin gauge theory and an action containing a term for each spin that generalizes the spin 2 Chern-Simons action in terms of the spin connection expressed in terms of the frame field. This cascading property is demonstrated in the free theory for spin 3 but should work also in the complete higher spin theory.

11.255313

10.824795

12.339464

10.578542

11.33021

10.683778

11.428183

11.0833

10.533478

14.231805

10.712225

10.499553

11.801073

10.826232

10.921656

10.910291

10.987451

10.42433

10.566236

11.614768

10.703838

2311.16242

Souvik Banerjee Dr.

Souvik Banerjee, Ulf Danielsson and Maximilian Zemsch

The dark bubbleography

1+14 pages

null

hep-th

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

We present the holographic construction of the dark bubble model of dark energy and highlight the pivotal role played by the non-normalizable modes. Following the route of holographic renormalization, we show that the non-normalizable modes are essential for having a vanishing mass for the induced graviton in any braneworld model. We then apply this idea in the computation of the propagator on the wall of the dark bubble introduced in 1807.01570.

[ { "created": "Mon, 27 Nov 2023 19:00:06 GMT", "version": "v1" } ]

2023-11-29

[ [ "Banerjee", "Souvik", "" ], [ "Danielsson", "Ulf", "" ], [ "Zemsch", "Maximilian", "" ] ]

We present the holographic construction of the dark bubble model of dark energy and highlight the pivotal role played by the non-normalizable modes. Following the route of holographic renormalization, we show that the non-normalizable modes are essential for having a vanishing mass for the induced graviton in any braneworld model. We then apply this idea in the computation of the propagator on the wall of the dark bubble introduced in 1807.01570.

14.647623

11.449437

13.259616

11.479745

12.625363

10.907674

11.686501

11.287989

10.934508

13.805976

11.955534

12.421253

13.037211

12.783666

12.946546

12.71837

13.215381

12.718877

12.446201

12.794536

13.158913

hep-th/9912074

Chuan-Jie Zhu

Roberto Iengo, Chuan-Jie Zhu

Evidence for Nonvanishing Cosmological Constant in NonSusy Superstring Models

30 pages, Latex

JHEP 0004 (2000) 028

10.1088/1126-6708/2000/04/028

null

hep-th

null

We reanalyse the computation of the cosmological constant $\Lambda$ at two loops in recently proposed Superstring models without massless gravitini, both in the theta-function based formalism and by a detailed computation in the more explicit hyperelliptic description of the underlying genus two Riemann surface. $\Lambda$ is expressed as the integral over the surface moduli of an amplitude which is zero if susy is not completely broken, but we find it to be nonvanishing in the susy breaking models which can be given an explicitly workable fermionic formulation. Thus unfortunately the issue of getting realistic and perturbatively viable models from Superstring Theory remains open.

[ { "created": "Thu, 9 Dec 1999 05:09:42 GMT", "version": "v1" } ]

2009-10-31

[ [ "Iengo", "Roberto", "" ], [ "Zhu", "Chuan-Jie", "" ] ]

We reanalyse the computation of the cosmological constant $\Lambda$ at two loops in recently proposed Superstring models without massless gravitini, both in the theta-function based formalism and by a detailed computation in the more explicit hyperelliptic description of the underlying genus two Riemann surface. $\Lambda$ is expressed as the integral over the surface moduli of an amplitude which is zero if susy is not completely broken, but we find it to be nonvanishing in the susy breaking models which can be given an explicitly workable fermionic formulation. Thus unfortunately the issue of getting realistic and perturbatively viable models from Superstring Theory remains open.

17.395506

19.622465

17.567848

15.214824

16.837683

17.535873

16.280239

15.185319

14.938561

21.812761

15.687731

15.672447

15.907331

15.29507

15.744827

14.73714

15.971972

15.57025

15.448731

16.73028

15.935885

2005.04019

Francesco Galvagno

Wilson loops as defects in N=2 conformal field theories

214 pages, several figures, PhD thesis based on arXiv:1802.09813, arXiv:1906.07085, arXiv:1910.06332

null

hep-th

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

In this thesis we consider four dimensional N=2 superconformal field theories, in presence of line defects such as Wilson loops. In this set up, using supersymmetric localization, we compute many observables, such as the vacuum expectation value of the Wilson loop, correlation functions with chiral operators and the emitted radiation of the charged particle moving along the Wilson loop trajectory. These results are achieved by exploiting the localized matrix model on a four sphere, and checked against a perturbative computation on the flat space in N=1 superspace formalism, up to four loops in perturbation theory.

[ { "created": "Fri, 8 May 2020 13:15:34 GMT", "version": "v1" } ]

2020-05-11

[ [ "Galvagno", "Francesco", "" ] ]

In this thesis we consider four dimensional N=2 superconformal field theories, in presence of line defects such as Wilson loops. In this set up, using supersymmetric localization, we compute many observables, such as the vacuum expectation value of the Wilson loop, correlation functions with chiral operators and the emitted radiation of the charged particle moving along the Wilson loop trajectory. These results are achieved by exploiting the localized matrix model on a four sphere, and checked against a perturbative computation on the flat space in N=1 superspace formalism, up to four loops in perturbation theory.

8.683885

8.064502

9.987505

8.521669

7.580747

8.488762

7.51683

7.050522

7.96572

10.717994

7.993459

8.014626

8.253044

8.157078

7.553492

7.841461

7.823056

7.806857

7.902559

8.661171

8.258138

1707.06622

Aitor Lewkowycz

Ahmed Almheiri, Tarek Anous, Aitor Lewkowycz

Inside Out: Meet The Operators Inside The Horizon

48 pages, 14 figures

null

10.1007/JHEP01(2018)028

null

hep-th

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

Based on the work of Heemskerk, Marolf, Polchinski and Sully (HMPS), we study the reconstruction of operators behind causal horizons in time dependent geometries obtained by acting with shockwaves on pure states or thermal states. These geometries admit a natural basis of gauge invariant operators, namely those geodesically dressed to the boundary along geodesics which emanate from the bifurcate horizon at constant Rindler time. We outline a procedure for obtaining operators behind the causal horizon but inside the entanglement wedge by exploiting the equality between bulk and boundary time evolution, as well as the freedom to consider the operators evolved by distinct Hamiltonians. This requires we carefully keep track of how the operators are gravitationally dressed and that we address issues regarding background dependence. We compare this procedure to reconstruction using modular flow, and illustrate some formal points in simple cases such as AdS$_2$ and AdS$_3$.

[ { "created": "Thu, 20 Jul 2017 17:28:19 GMT", "version": "v1" } ]

2018-09-14

[ [ "Almheiri", "Ahmed", "" ], [ "Anous", "Tarek", "" ], [ "Lewkowycz", "Aitor", "" ] ]

Based on the work of Heemskerk, Marolf, Polchinski and Sully (HMPS), we study the reconstruction of operators behind causal horizons in time dependent geometries obtained by acting with shockwaves on pure states or thermal states. These geometries admit a natural basis of gauge invariant operators, namely those geodesically dressed to the boundary along geodesics which emanate from the bifurcate horizon at constant Rindler time. We outline a procedure for obtaining operators behind the causal horizon but inside the entanglement wedge by exploiting the equality between bulk and boundary time evolution, as well as the freedom to consider the operators evolved by distinct Hamiltonians. This requires we carefully keep track of how the operators are gravitationally dressed and that we address issues regarding background dependence. We compare this procedure to reconstruction using modular flow, and illustrate some formal points in simple cases such as AdS$_2$ and AdS$_3$.

14.869784

14.435867

16.06473

12.755284

15.731496

14.536021

14.345909

14.218737

14.257

17.871275

14.166177

13.433187

14.411908

13.310893

14.108923

13.425236

13.623171

13.518528

13.423533

14.548884

13.05395

hep-th/0307089

Alessandro Torrielli

Unitarity of noncommutative field theories from string theory

8 pages, no figures. Work done in collaboration with A. Bassetto and R. Valandro (Padua Univ.). Submitted for the proceedings of the conference "Spacetime and Fundamental Interactions: Quantum Aspects. A conference to honour A.P.Balachandran's 65th birthday", Vietri, 26-31 May 2003

Mod.Phys.Lett. A18 (2003) 2525-2532

10.1142/S0217732303012775

DFPD 03/TH 27

hep-th

null

We improve the study of the lack of perturbative unitarity of noncommutative space-time quantum field theories derived from open string theory in electric backgrounds, enforcing the universality of the mechanism by which a tachyonic branch cut appears when the Seiberg-Witten limit freezes the string in an unstable vacuum. The main example is realized in the context of the on-shell four-tachyon amplitude of the bosonic string, and the dependence of the phenomenon on the brane-worldvolume dimension is analysed. We discuss the possibility of a proof in superstring theory, and finally mention the NCOS limit in this framework.

[ { "created": "Wed, 9 Jul 2003 14:01:25 GMT", "version": "v1" } ]

2009-11-10

[ [ "Torrielli", "Alessandro", "" ] ]

We improve the study of the lack of perturbative unitarity of noncommutative space-time quantum field theories derived from open string theory in electric backgrounds, enforcing the universality of the mechanism by which a tachyonic branch cut appears when the Seiberg-Witten limit freezes the string in an unstable vacuum. The main example is realized in the context of the on-shell four-tachyon amplitude of the bosonic string, and the dependence of the phenomenon on the brane-worldvolume dimension is analysed. We discuss the possibility of a proof in superstring theory, and finally mention the NCOS limit in this framework.

16.971708

15.747605

19.404303

16.221056

14.913412

16.593019

16.443604

15.002018

15.187686

20.748873

15.104192

16.178251

17.678778

16.878773

17.06649

16.002174

16.964895

15.779692

16.482485

17.531643

15.736698

1906.10226

Daniel Green

Daniel Baumann, Daniel Green, and Thomas Hartman

Dynamical Constraints on RG Flows and Cosmology

37 pages, 6 figures

null

10.1007/JHEP12(2019)134

null

hep-th astro-ph.CO hep-ph

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

Sum rules connecting low-energy observables to high-energy physics are an interesting way to probe the mechanism of inflation and its ultraviolet origin. Unfortunately, such sum rules have proven difficult to study in a cosmological setting. Motivated by this problem, we investigate a precise analogue of inflation in anti-de Sitter spacetime, where it becomes dual to a slow renormalization group flow in the boundary quantum field theory. This dual description provides a firm footing for exploring the constraints of unitarity, analyticity, and causality on the bulk effective field theory. We derive a sum rule that constrains the bulk coupling constants in this theory. In the bulk, the sum rule is related to the speed of radial propagation, while on the boundary, it governs the spreading of nonlocal operators. When the spreading speed approaches the speed of light, the sum rule is saturated, suggesting that the theory becomes free in this limit. We also discuss whether similar results apply to inflation, where an analogous sum rule exists for the propagation speed of inflationary fluctuations.

[ { "created": "Mon, 24 Jun 2019 20:47:20 GMT", "version": "v1" } ]

2020-01-29

[ [ "Baumann", "Daniel", "" ], [ "Green", "Daniel", "" ], [ "Hartman", "Thomas", "" ] ]

Sum rules connecting low-energy observables to high-energy physics are an interesting way to probe the mechanism of inflation and its ultraviolet origin. Unfortunately, such sum rules have proven difficult to study in a cosmological setting. Motivated by this problem, we investigate a precise analogue of inflation in anti-de Sitter spacetime, where it becomes dual to a slow renormalization group flow in the boundary quantum field theory. This dual description provides a firm footing for exploring the constraints of unitarity, analyticity, and causality on the bulk effective field theory. We derive a sum rule that constrains the bulk coupling constants in this theory. In the bulk, the sum rule is related to the speed of radial propagation, while on the boundary, it governs the spreading of nonlocal operators. When the spreading speed approaches the speed of light, the sum rule is saturated, suggesting that the theory becomes free in this limit. We also discuss whether similar results apply to inflation, where an analogous sum rule exists for the propagation speed of inflationary fluctuations.

8.462427

8.37246

8.349841

8.02506

8.25156

8.135733

8.206165

8.180944

7.94444

8.127716

7.902404

7.597738

7.808638

7.484155

7.555375

7.760376

7.921689

7.560352

7.687029

7.804711

7.781202

2108.05026

Konstantin Stepanyantz

Dmitrii Korneev, Dmitry Plotnikov, Konstantin Stepanyantz, Natalia Tereshina

The NSVZ relations for ${\cal N}=1$ supersymmetric theories with multiple gauge couplings

39 pages

null

10.1007/JHEP10(2021)046

null

hep-th hep-ph

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

We investigate the NSVZ relations for ${\cal N}=1$ supersymmetric gauge theories with multiple gauge couplings. As examples, we consider MSSM and the flipped $SU(5)$ model, for which they easily reproduce the results for the two-loop $\beta$-functions. For ${\cal N}=1$ SQCD interacting with the Abelian gauge superfield we demonstrate that the NSVZ-like equation for the Adler $D$-function follows from the NSVZ relations. Also we derive all-loop equations describing how the NSVZ equations for theories with multiple gauge couplings change under finite renormalizations. They allow describing a continuous set of NSVZ schemes in which the exact NSVZ $\beta$-functions are valid for all gauge coupling constants. Very likely, this class includes the HD+MSL scheme, which is obtained if a theory is regularized by Higher covariant Derivatives and divergences are removed by Minimal Subtractions of Logarithms. That is why we also discuss how one can construct the higher derivative regularization for theories with multiple gauge couplings. Presumably, this regularization allows to derive the NSVZ equations for such theories in all loops. In this paper we make the first step of this derivation, namely, the NSVZ equations for theories with multiple gauge couplings are rewritten in a new form which relates the $\beta$-functions to the anomalous dimensions of the quantum gauge superfields, of the Faddeev--Popov ghosts, and of the matter superfields. The equivalence of this new form to the original NSVZ relations follows from the extension of the non-renormalization theorem for the triple gauge-ghost vertices, which is also derived in this paper.

[ { "created": "Wed, 11 Aug 2021 04:39:53 GMT", "version": "v1" } ]

2021-10-27

[ [ "Korneev", "Dmitrii", "" ], [ "Plotnikov", "Dmitry", "" ], [ "Stepanyantz", "Konstantin", "" ], [ "Tereshina", "Natalia", "" ] ]

We investigate the NSVZ relations for ${\cal N}=1$ supersymmetric gauge theories with multiple gauge couplings. As examples, we consider MSSM and the flipped $SU(5)$ model, for which they easily reproduce the results for the two-loop $\beta$-functions. For ${\cal N}=1$ SQCD interacting with the Abelian gauge superfield we demonstrate that the NSVZ-like equation for the Adler $D$-function follows from the NSVZ relations. Also we derive all-loop equations describing how the NSVZ equations for theories with multiple gauge couplings change under finite renormalizations. They allow describing a continuous set of NSVZ schemes in which the exact NSVZ $\beta$-functions are valid for all gauge coupling constants. Very likely, this class includes the HD+MSL scheme, which is obtained if a theory is regularized by Higher covariant Derivatives and divergences are removed by Minimal Subtractions of Logarithms. That is why we also discuss how one can construct the higher derivative regularization for theories with multiple gauge couplings. Presumably, this regularization allows to derive the NSVZ equations for such theories in all loops. In this paper we make the first step of this derivation, namely, the NSVZ equations for theories with multiple gauge couplings are rewritten in a new form which relates the $\beta$-functions to the anomalous dimensions of the quantum gauge superfields, of the Faddeev--Popov ghosts, and of the matter superfields. The equivalence of this new form to the original NSVZ relations follows from the extension of the non-renormalization theorem for the triple gauge-ghost vertices, which is also derived in this paper.

6.581518

5.932394

7.727923

6.310432

6.565755

5.739488

6.234662

6.285013

6.302727

7.575969

6.275358

6.351978

6.698681

6.372131

6.290918

6.362956

6.382552

6.414405

6.297456

6.675622

6.334297

2102.11242

Ignacio Araya

Giorgos Anastasiou, Ignacio J. Araya, Javier Moreno, Rodrigo Olea and David Rivera-Betancour

Renormalized holographic entanglement entropy for Quadratic Curvature Gravity

20 pages, 1 table, accepted in PRD

Phys. Rev. D 104, 086003 (2021)

10.1103/PhysRevD.104.086003

null

hep-th gr-qc

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

We derive a covariant expression for the renormalized holographic entanglement entropy for Conformal Field Theories (CFTs) dual to Quadratic Curvature Gravity in arbitrary dimensions. This expression is written as the sum of the bare entanglement entropy functional obtained using standard conical defect techniques, and a counterterm defined at the boundary of the extremal surface of the functional. The latter corresponds to the cod-2 self-replicating part of the extrinsic counterterms when evaluated on the replica orbifold. This renormalization method isolates the universal terms of the holographic entanglement entropy functional. We use it to compute the standard C-function candidate for CFTs of arbitrary dimension, and the type-B anomaly coefficient c for 4-dimensional CFTs.

[ { "created": "Mon, 22 Feb 2021 18:25:58 GMT", "version": "v1" }, { "created": "Tue, 31 Aug 2021 14:41:11 GMT", "version": "v2" } ]

2021-10-04

[ [ "Anastasiou", "Giorgos", "" ], [ "Araya", "Ignacio J.", "" ], [ "Moreno", "Javier", "" ], [ "Olea", "Rodrigo", "" ], [ "Rivera-Betancour", "David", "" ] ]

We derive a covariant expression for the renormalized holographic entanglement entropy for Conformal Field Theories (CFTs) dual to Quadratic Curvature Gravity in arbitrary dimensions. This expression is written as the sum of the bare entanglement entropy functional obtained using standard conical defect techniques, and a counterterm defined at the boundary of the extremal surface of the functional. The latter corresponds to the cod-2 self-replicating part of the extrinsic counterterms when evaluated on the replica orbifold. This renormalization method isolates the universal terms of the holographic entanglement entropy functional. We use it to compute the standard C-function candidate for CFTs of arbitrary dimension, and the type-B anomaly coefficient c for 4-dimensional CFTs.

9.119223

9.76993

10.542148

8.801437

9.709399

8.846174

9.673018

8.794767

8.820662

11.547716

9.162756

9.069682

9.513035

9.039377

8.812556

9.360595

9.097839

8.824574

9.07768

9.58324

8.729691

1311.4535

Francisco Rojas

On Type 0 Open String Amplitudes and the Tensionless Limit

44 pages, 4 figures, added discussion on the importance of the renormalization procedure, reference added

Phys. Rev. D 90, 126008 (2014)

10.1103/PhysRevD.90.126008

null

hep-th

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

The sum over planar multi-loop diagrams in the NS+ sector of type 0 open strings in flat spacetime has been proposed by Thorn as a candidate to resolve non-perturbative issues of gauge theories in the large $N$ limit. With $SU (N)$ Chan-Paton factors, the sum over planar open string multi-loop diagrams describes the 't Hooft limit $N\to \infty$ with $Ng_s^2$ held fixed. By including only planar diagrams in the sum the usual mechanism for the cancellation of loop divergences (which occurs, for example, among the planar and M\"obius strip diagrams by choosing a specific gauge group) is not available and a renormalization procedure is needed. In this article the renormalization is achieved by suspending total momentum conservation by an amount $p\equiv \sum_i^n k_i\neq 0$ at the level of the integrands in the integrals over the moduli and analytically continuing them to $p=0$ at the very end. This procedure has been successfully tested for the 2 and 3 gluon planar loop amplitudes by Thorn. Gauge invariance is respected and the correct running of the coupling in the limiting gauge field theory was also correctly obtained. In this article we extend those results in two directions. First, we generalize the renormalization method to an arbitrary $n$-gluon planar loop amplitude giving full details for the 4-point case. One of our main results is to provide a fully renormalized amplitude which is free of both UV and the usual spurious divergences leaving only the physical singularities in it. Second, using the complete renormalized amplitude, we extract the high-energy scattering regime at fixed angle (tensionless limit). Apart from obtaining the usual exponential falloff at high energies, we compute the full dependence on the scattering angle which shows the existence of a smooth connection between the Regge and hard scattering regimes.

[ { "created": "Mon, 18 Nov 2013 20:58:34 GMT", "version": "v1" }, { "created": "Mon, 30 Jun 2014 22:34:51 GMT", "version": "v2" } ]

2014-12-24

[ [ "Rojas", "Francisco", "" ] ]

The sum over planar multi-loop diagrams in the NS+ sector of type 0 open strings in flat spacetime has been proposed by Thorn as a candidate to resolve non-perturbative issues of gauge theories in the large $N$ limit. With $SU (N)$ Chan-Paton factors, the sum over planar open string multi-loop diagrams describes the 't Hooft limit $N\to \infty$ with $Ng_s^2$ held fixed. By including only planar diagrams in the sum the usual mechanism for the cancellation of loop divergences (which occurs, for example, among the planar and M\"obius strip diagrams by choosing a specific gauge group) is not available and a renormalization procedure is needed. In this article the renormalization is achieved by suspending total momentum conservation by an amount $p\equiv \sum_i^n k_i\neq 0$ at the level of the integrands in the integrals over the moduli and analytically continuing them to $p=0$ at the very end. This procedure has been successfully tested for the 2 and 3 gluon planar loop amplitudes by Thorn. Gauge invariance is respected and the correct running of the coupling in the limiting gauge field theory was also correctly obtained. In this article we extend those results in two directions. First, we generalize the renormalization method to an arbitrary $n$-gluon planar loop amplitude giving full details for the 4-point case. One of our main results is to provide a fully renormalized amplitude which is free of both UV and the usual spurious divergences leaving only the physical singularities in it. Second, using the complete renormalized amplitude, we extract the high-energy scattering regime at fixed angle (tensionless limit). Apart from obtaining the usual exponential falloff at high energies, we compute the full dependence on the scattering angle which shows the existence of a smooth connection between the Regge and hard scattering regimes.

9.0344

9.057528

9.777353

9.618752

10.155787

9.800176

9.281176

9.706194

9.30502

10.653209

9.43342

8.778429

9.309429

8.870159

8.763521

8.810388

9.01827

8.914565

8.834422

9.32123

8.816976

1612.01879

Felipe Contatto

Integrable Abelian Vortex-like solitons

10 pages, 2 figures. Typos corrected. References added. Added explanation of resonance in sec 3. Published version

Physics Letters B, Volume 768, 10 May 2017, Pages 23-29, ISSN 0370-2693

10.1016/j.physletb.2017.01.078

DAMTP-2016-83

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

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

We propose a modified version of the Ginzburg-Landau energy functional admitting static solitons and determine all the Painlev\'e-integrable cases of its Bogomolny equations of a given class of models. Explicit solutions are determined in terms of the third Painlev\'e transcendents, allowing us to calculate physical quantities such as the vortex number and the vortex strength. These solutions can be interpreted as the usual Abelian-Higgs vortices on surfaces of non-constant curvature with conical singularity.

[ { "created": "Tue, 6 Dec 2016 15:52:51 GMT", "version": "v1" }, { "created": "Sun, 26 Feb 2017 16:30:08 GMT", "version": "v2" } ]

2017-02-28

[ [ "Contatto", "Felipe", "" ] ]

We propose a modified version of the Ginzburg-Landau energy functional admitting static solitons and determine all the Painlev\'e-integrable cases of its Bogomolny equations of a given class of models. Explicit solutions are determined in terms of the third Painlev\'e transcendents, allowing us to calculate physical quantities such as the vortex number and the vortex strength. These solutions can be interpreted as the usual Abelian-Higgs vortices on surfaces of non-constant curvature with conical singularity.

10.718044

11.088646

12.521056

10.082596

11.967491

11.321048

12.733314

11.562317

10.462263

11.568913

10.211935

10.746819

10.563382

10.847457

10.653763

10.171936

10.528697

10.673268

10.103662

10.827171

10.603988

hep-th/9805032

Paul Saffin

P. M. Saffin, Anupam Mazumdar and E. J. Copeland

Instantons from Low Energy String Actions

revtex 6 pages with 3 figures. Minor numerical correction made

Phys.Lett. B435 (1998) 19-24

10.1016/S0370-2693(98)00797-7

University of Sussex preprint SUSX-TH-98-012

hep-th gr-qc

null

We look for instanton solutions in a class of two scalar field gravity models, which includes the low energy string action in four dimensions. In models where the matter field has a potential with a false vacuum, we find that non-singular instantons exist as long as the Dilaton field found in string theory has a potential with a minimum, and provide an example of such an instanton. The class of singular instanton solutions are also examined, and we find that depending on the parameter values, the volume factor of the Euclidean region does not always vanish fast enough at the singularity to make the action finite.

[ { "created": "Wed, 6 May 1998 16:07:44 GMT", "version": "v1" }, { "created": "Sun, 16 Aug 1998 16:07:50 GMT", "version": "v2" } ]

2009-10-31

[ [ "Saffin", "P. M.", "" ], [ "Mazumdar", "Anupam", "" ], [ "Copeland", "E. J.", "" ] ]

We look for instanton solutions in a class of two scalar field gravity models, which includes the low energy string action in four dimensions. In models where the matter field has a potential with a false vacuum, we find that non-singular instantons exist as long as the Dilaton field found in string theory has a potential with a minimum, and provide an example of such an instanton. The class of singular instanton solutions are also examined, and we find that depending on the parameter values, the volume factor of the Euclidean region does not always vanish fast enough at the singularity to make the action finite.

10.819415

9.977311

9.949652

9.186965

9.046637

9.500965

9.652673

8.99544

9.245782

10.021098

9.476471

9.407018

9.773271

9.703225

9.567439

9.846617

9.584604

9.535751

9.533836

9.221378

9.587477

1904.12862

Sa\v{s}o Grozdanov

Sa\v{s}o Grozdanov, Pavel K. Kovtun, Andrei O. Starinets, Petar Tadi\'c

The complex life of hydrodynamic modes

V3: 54 pages, 18 figures. Appendix added. Version to appear in JHEP

JHEP 1911 (2019) 097

10.1007/JHEP11(2019)097

MIT-CTP/5101, OUTP-19-02P

hep-th cond-mat.str-el math-ph math.MP nucl-th

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

We study analytic properties of the dispersion relations in classical hydrodynamics by treating them as Puiseux series in complex momentum. The radii of convergence of the series are determined by the critical points of the associated complex spectral curves. For theories that admit a dual gravitational description through holography, the critical points correspond to level-crossings in the quasinormal spectrum of the dual black hole. We illustrate these methods in ${\cal N}=4$ supersymmetric Yang-Mills theory in 3+1 dimensions, in a holographic model with broken translation symmetry in 2+1 dimensions, and in conformal field theory in 1+1 dimensions. We comment on the pole-skipping phenomenon in thermal correlation functions, and show that it is not specific to energy density correlations.

[ { "created": "Mon, 29 Apr 2019 18:00:02 GMT", "version": "v1" }, { "created": "Tue, 25 Jun 2019 18:37:38 GMT", "version": "v2" }, { "created": "Fri, 15 Nov 2019 19:45:17 GMT", "version": "v3" } ]

2019-12-02

[ [ "Grozdanov", "Sašo", "" ], [ "Kovtun", "Pavel K.", "" ], [ "Starinets", "Andrei O.", "" ], [ "Tadić", "Petar", "" ] ]

We study analytic properties of the dispersion relations in classical hydrodynamics by treating them as Puiseux series in complex momentum. The radii of convergence of the series are determined by the critical points of the associated complex spectral curves. For theories that admit a dual gravitational description through holography, the critical points correspond to level-crossings in the quasinormal spectrum of the dual black hole. We illustrate these methods in ${\cal N}=4$ supersymmetric Yang-Mills theory in 3+1 dimensions, in a holographic model with broken translation symmetry in 2+1 dimensions, and in conformal field theory in 1+1 dimensions. We comment on the pole-skipping phenomenon in thermal correlation functions, and show that it is not specific to energy density correlations.

7.449405

7.001387

7.707562

6.780214

6.71525

6.867649

6.983924

7.4255

6.654267

8.523817

6.685311

6.413645

6.944619

6.615942

6.496684

6.515717

6.547612

6.526396

6.738633

7.361736

6.661074

0711.4257

Ralf Hofmann

Jochen Keller, Ralf Hofmann, and Francesco Giacosa

Correlation of energy density in deconfining SU(2) Yang-Mills thermodynamics

22 pages, 8 figures, v6: formulas (6), (7), (11), (12), (18), (20) altered, figures (2), (6), (7), (8) altered, figures (1), (4), (5) exchanged, no qualitative changes in the results and no change of our conclusions

Int.J.Mod.Phys.A23:5181-5200,2008

10.1142/S0217751X08042535

KA-TP-34-2007

hep-th

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

We compute the two-point correlation of the energy density for the massless mode in deconfining SU(2) Yang-Mills thermodynamics and point towards a possible application for the physics of cold, dilute, and stable clouds of atomic hydrogen within the Milky Way.

[ { "created": "Tue, 27 Nov 2007 14:04:48 GMT", "version": "v1" }, { "created": "Tue, 22 Jan 2008 11:00:18 GMT", "version": "v2" }, { "created": "Thu, 21 Feb 2008 10:28:41 GMT", "version": "v3" }, { "created": "Thu, 15 May 2008 14:01:06 GMT", "version": "v4" }, { "created": "Mon, 22 Sep 2008 08:08:53 GMT", "version": "v5" }, { "created": "Wed, 29 Oct 2008 19:47:28 GMT", "version": "v6" } ]

2009-02-11

[ [ "Keller", "Jochen", "" ], [ "Hofmann", "Ralf", "" ], [ "Giacosa", "Francesco", "" ] ]

We compute the two-point correlation of the energy density for the massless mode in deconfining SU(2) Yang-Mills thermodynamics and point towards a possible application for the physics of cold, dilute, and stable clouds of atomic hydrogen within the Milky Way.

17.734564

14.711459

17.548483

15.497896

16.491825

17.093506

17.153168

15.634894

18.462101

17.671804

13.337943

15.744607

15.935658

15.017245

15.083006

14.557868

15.092935

14.705719

15.317417

17.965803

14.541117

1807.06511

Amjad Ashoorioon

Non-Unitary Evolution in the General Extended EFT of Inflation & Excited Initial States

v1: 1+21 pages, 2 figures v2: matched the JHEP version

JHEP 12 (2018) 012

10.1007/JHEP12(2018)012

IPM/P-2018/029

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

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

I study the "general" case that arises in the Extended Effective Field Theory of Inflation (gEEFToI), in which the coefficients of the sixth order polynomial dispersion relation depend on the physical wavelength of the fluctuation mode, hence they are time-dependent. At arbitrarily short wavelengths the unitarity is lost for each mode. Depending on the values of the gEEFToI parameters in the unitary gauge action, two scenarios can arise: in one, the coefficients of the polynomial become singular, flip signs at some physical wavelength and asymptote to a constant value as the wavelength of the mode is stretched to infinity. Starting from the WKB vacuum, the two-point function is essentially singular in the infinite IR limit. In the other case, the coefficients of the dispersion relation evolve monotonically from zero to a constant value in the infinite IR. In order to have a finite power spectrum starting from the vacuum in this case, the mode function has to be an eigensolution of the Confluent Heun (CH) equation, which leads to a very confined parameter space for gEEFToI. Finally, I look at a solution of the CH equation which is regular in the infinite IR limit and yields a finite power spectrum in either scenario. I demonstrate that this solution asymptotes to an excited state in past infinity in both cases. The result is interpreted in the light of the loss of unitarity for very small wavelengths. The outcome of such a non-unitary phase evolution should prepare each mode in the excited initial state that yields a finite two-point function for all the parameter space. This will be constraining of the new physics that UV completes such scenarios.

[ { "created": "Tue, 17 Jul 2018 15:51:11 GMT", "version": "v1" }, { "created": "Fri, 23 Nov 2018 21:13:45 GMT", "version": "v2" } ]

2018-12-05

[ [ "Ashoorioon", "Amjad", "" ] ]

I study the "general" case that arises in the Extended Effective Field Theory of Inflation (gEEFToI), in which the coefficients of the sixth order polynomial dispersion relation depend on the physical wavelength of the fluctuation mode, hence they are time-dependent. At arbitrarily short wavelengths the unitarity is lost for each mode. Depending on the values of the gEEFToI parameters in the unitary gauge action, two scenarios can arise: in one, the coefficients of the polynomial become singular, flip signs at some physical wavelength and asymptote to a constant value as the wavelength of the mode is stretched to infinity. Starting from the WKB vacuum, the two-point function is essentially singular in the infinite IR limit. In the other case, the coefficients of the dispersion relation evolve monotonically from zero to a constant value in the infinite IR. In order to have a finite power spectrum starting from the vacuum in this case, the mode function has to be an eigensolution of the Confluent Heun (CH) equation, which leads to a very confined parameter space for gEEFToI. Finally, I look at a solution of the CH equation which is regular in the infinite IR limit and yields a finite power spectrum in either scenario. I demonstrate that this solution asymptotes to an excited state in past infinity in both cases. The result is interpreted in the light of the loss of unitarity for very small wavelengths. The outcome of such a non-unitary phase evolution should prepare each mode in the excited initial state that yields a finite two-point function for all the parameter space. This will be constraining of the new physics that UV completes such scenarios.

11.792759

13.0369

12.478636

12.085667

12.950061

12.8322

13.140181

12.868709

12.2934

13.016993

12.588678

11.897268

12.012472

12.062622

11.919605

12.106286

11.713461

11.878021

12.071544

11.701852

11.714237

hep-th/9506149

null

Mary K. Gaillard

Pauli-Villars Regularization of Supergravity and Field Theory Anomalies

8 pages, Talk given at SUSY95, l'Ecole Polytechnique, Palaiseau, France, May 15-19, 1995

null

LBL-37425, UCB-PTH-95/19

hep-th hep-ph

null

A procedure for Pauli-Villars regularization of locally and globally supersymmetric theories is described. Implications for specific theories, especially those obtained from superstrings, are discussed with emphasis on the role of field theory anomalies.

[ { "created": "Wed, 21 Jun 1995 23:13:31 GMT", "version": "v1" } ]

2007-05-23

[ [ "Gaillard", "Mary K.", "" ] ]

A procedure for Pauli-Villars regularization of locally and globally supersymmetric theories is described. Implications for specific theories, especially those obtained from superstrings, are discussed with emphasis on the role of field theory anomalies.

16.30887

11.923416

12.732123

11.839967

12.353862

12.153167

10.714547

12.598403

12.394575

12.667681

13.324499

12.719502

12.020326

11.33081

12.075704

12.12723

11.397527

11.898886

12.329222

11.884415

12.377288

2407.10928

Zvi Bern

Mark Alaverdian, Zvi Bern, Dimitrios Kosmopoulos, Andres Luna, Radu Roiban, Trevor Scheopner and Fei Teng

Conservative Spin Magnitude Change in Orbital Evolution in General Relativity

8 pages, 1 figure

null

hep-th gr-qc

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

We show that physical scattering observables for compact spinning objects in general relativity can depend on additional degrees of freedom in the spin tensor beyond those described by the spin vector alone. The impulse, spin kick, and leading-order waveforms exhibit such a nontrivial dependence. A signal of this additional structure is the change in the magnitude of the spin vector under conservative Hamiltonian evolution, similar to our previous studies in electrodynamics. These additional degrees of freedom describe dynamical mass multipoles of compact objects and decouple for black holes. We also show that the conservative impulse, spin kick and change of the additional degrees of freedom are encoded in the eikonal phase.

[ { "created": "Mon, 15 Jul 2024 17:28:14 GMT", "version": "v1" } ]

2024-07-16

[ [ "Alaverdian", "Mark", "" ], [ "Bern", "Zvi", "" ], [ "Kosmopoulos", "Dimitrios", "" ], [ "Luna", "Andres", "" ], [ "Roiban", "Radu", "" ], [ "Scheopner", "Trevor", "" ], [ "Teng", "Fei", "" ] ]

We show that physical scattering observables for compact spinning objects in general relativity can depend on additional degrees of freedom in the spin tensor beyond those described by the spin vector alone. The impulse, spin kick, and leading-order waveforms exhibit such a nontrivial dependence. A signal of this additional structure is the change in the magnitude of the spin vector under conservative Hamiltonian evolution, similar to our previous studies in electrodynamics. These additional degrees of freedom describe dynamical mass multipoles of compact objects and decouple for black holes. We also show that the conservative impulse, spin kick and change of the additional degrees of freedom are encoded in the eikonal phase.

14.910601

14.312675

14.276274

12.636557

12.897688

14.342755

12.964006

11.925381

12.626682

13.643547

12.163783

12.982057

13.586605

13.104805

13.647217

13.406049

13.229996

12.897079

13.617511

13.52483

13.170558

hep-th/9603159

Hiroshi Suzuki

Kiyoshi Okuyama and Hiroshi Suzuki (Ibaraki University)

Path Integral Evaluation of Non-Abelian Anomaly and Pauli--Villars--Gupta Regularization

12 pages, PHYZZX, all the misleading descriptions were removed

Phys.Lett. B382 (1996) 117-123

10.1016/0370-2693(96)00648-X

IU-MSTP/9

hep-th hep-ph

null

When the path integral method of anomaly evaluation is applied to chiral gauge theories, two different types of gauge anomaly, i.e., the consistent form and the covariant form, appear depending on the regularization scheme for the Jacobian factor. We clarify the relation between the regularization scheme and the Pauli--Villars--Gupta (PVG) type Lagrangian level regularization. The conventional PVG, being non-gauge invariant for chiral gauge theories, in general corresponds to the consistent regularization scheme. The covariant regularization scheme, on the other hand, is realized by the generalized PVG Lagrangian recently proposed by Frolov and Slavnov. These correspondences are clarified by reformulating the PVG method as a regularization of the composite gauge current operator.

[ { "created": "Mon, 25 Mar 1996 04:04:02 GMT", "version": "v1" }, { "created": "Tue, 7 May 1996 03:07:53 GMT", "version": "v2" } ]

2009-10-30

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

When the path integral method of anomaly evaluation is applied to chiral gauge theories, two different types of gauge anomaly, i.e., the consistent form and the covariant form, appear depending on the regularization scheme for the Jacobian factor. We clarify the relation between the regularization scheme and the Pauli--Villars--Gupta (PVG) type Lagrangian level regularization. The conventional PVG, being non-gauge invariant for chiral gauge theories, in general corresponds to the consistent regularization scheme. The covariant regularization scheme, on the other hand, is realized by the generalized PVG Lagrangian recently proposed by Frolov and Slavnov. These correspondences are clarified by reformulating the PVG method as a regularization of the composite gauge current operator.

7.82672

7.903399

8.860876

7.658994

8.663772

7.565682

7.900558

7.522291

7.385664

9.468919

7.28201

7.972699

8.003781

7.763335

8.077065

7.775504

7.92776

7.709557

7.975298

7.977047

7.620948

1203.5789

Clemens Wieck

Christoph L\"udeling, Fabian Ruehle, Clemens Wieck

Non-Universal Anomalies in Heterotic String Constructions

22 pages, 4 tables, publication version, minor corrections

null

10.1103/PhysRevD.85.106010

null

hep-th

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

We investigate anomalies on heterotic orbifolds and their blowups. We give a simple example of an orbifold blowup which contains anomalous U(1) symmetries that are canceled by axions which couple non-universally to the different gauge groups, thus clarifying some confusion which recently arose in the literature concerning anomaly universality. We argue that non-universal axionic couplings are the general case, and that the couplings are only universal in the case of orbifolds. We comment on the consequences of this non-universality for discrete R symmetries. We furthermore investigate the origin of discrete (R and non-R) symmetries on smooth Calabi-Yau manifolds.

[ { "created": "Mon, 26 Mar 2012 20:00:04 GMT", "version": "v1" }, { "created": "Fri, 16 Nov 2012 10:47:23 GMT", "version": "v2" } ]

2013-05-30

[ [ "Lüdeling", "Christoph", "" ], [ "Ruehle", "Fabian", "" ], [ "Wieck", "Clemens", "" ] ]

We investigate anomalies on heterotic orbifolds and their blowups. We give a simple example of an orbifold blowup which contains anomalous U(1) symmetries that are canceled by axions which couple non-universally to the different gauge groups, thus clarifying some confusion which recently arose in the literature concerning anomaly universality. We argue that non-universal axionic couplings are the general case, and that the couplings are only universal in the case of orbifolds. We comment on the consequences of this non-universality for discrete R symmetries. We furthermore investigate the origin of discrete (R and non-R) symmetries on smooth Calabi-Yau manifolds.

8.197945

7.504118

8.278381

7.504726

7.872003

8.210622

7.800077

7.484105

7.375542

7.942669

7.18938

8.075975

8.51087

7.72889

7.857855

7.986032

7.77641

7.812695

7.748298

8.336862

7.645965

hep-th/9906138

Andre LeClair

I. Devetak and A. LeClair

Plateaux Transitions from S-matrices based on SL(2,Z) Invariant Field Theories

9 pages, 2 figures

Phys.Lett. B467 (1999) 78-82

10.1016/S0370-2693(99)01125-9

null

hep-th cond-mat.mes-hall

null

A scattering scattering description is proposed for a boundary perturbation of a c=1 SL(2,Z) invariant conformal field theory. The bulk massless S-matrices are of the form of Zamolodchikov's staircase model. Using the boundary version of the thermodynamic Bethe ansatz, we show that the boundary free energy goes through a series of integer valued plateaux as a function of system size.

[ { "created": "Thu, 17 Jun 1999 23:10:28 GMT", "version": "v1" }, { "created": "Wed, 25 Aug 1999 18:54:24 GMT", "version": "v2" } ]

2009-10-31

[ [ "Devetak", "I.", "" ], [ "LeClair", "A.", "" ] ]

A scattering scattering description is proposed for a boundary perturbation of a c=1 SL(2,Z) invariant conformal field theory. The bulk massless S-matrices are of the form of Zamolodchikov's staircase model. Using the boundary version of the thermodynamic Bethe ansatz, we show that the boundary free energy goes through a series of integer valued plateaux as a function of system size.

11.972669

11.442108

13.193339

10.426191

10.187654

10.649588

11.416314

10.830014

10.617912

12.432328

9.99886

10.407249

11.835821

10.438349

10.753287

10.649288

10.611793

9.775447

10.173257

12.053406

9.941653

1307.6562

Christoph Keller

Daniel Friedan, Christoph A. Keller

Constraints on 2d CFT partition functions

41 pages, 5 figures

null

10.1007/JHEP10(2013)180

null

hep-th

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

Modular invariance is known to constrain the spectrum of 2d conformal field theories. We investigate this constraint systematically, using the linear functional method to put new improved upper bounds on the lowest gap in the spectrum. We also consider generalized partition functions of N = (2,2) superconformal theories and discuss the application of our results to Calabi-Yau compactifications. For Calabi-Yau threefolds with no enhanced symmetry we find that there must always be non-BPS primary states of weight 0.6 or less.

[ { "created": "Wed, 24 Jul 2013 20:00:06 GMT", "version": "v1" } ]

2015-06-16

[ [ "Friedan", "Daniel", "" ], [ "Keller", "Christoph A.", "" ] ]

Modular invariance is known to constrain the spectrum of 2d conformal field theories. We investigate this constraint systematically, using the linear functional method to put new improved upper bounds on the lowest gap in the spectrum. We also consider generalized partition functions of N = (2,2) superconformal theories and discuss the application of our results to Calabi-Yau compactifications. For Calabi-Yau threefolds with no enhanced symmetry we find that there must always be non-BPS primary states of weight 0.6 or less.

9.534389

9.319401

11.2351

8.522226

9.430243

9.028237

9.117904

8.752041

8.57062

10.55053

8.166794

8.984733

9.994573

8.621638

9.127169

8.925773

9.081699

8.809123

8.839876

9.879473

8.5728

1103.5557

Jarah Evslin

Slow Burgers Vortices in Hot Conformal Fluids

13 pages, no figures

JHEP 1105:096,2011

10.1007/JHEP05(2011)096

null

hep-th

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

The quintessential vortex solution in (3+1)-dimensional nonrelativistic, incompressible fluid mechanics is the Burgers vortex. We show that, in a finite domain, conformal fluids also admit hot vortex solutions with everywhere nonrelativistic speeds. These are identical to Burgers' solution, except that their radius is reduced by a factor of 2/sqrt(3). A rough calculation indicates that at RHIC these vortices are indeed smaller than the fireball itself during thermalization. Similarly to the Burgers vortex, these solutions manifest vortex stretching which avoids short distance singularities and so suggests that conformal fluid flows share the same nonsingularity as solutions of the Navier-Stokes equations. Naively generalizing this calculation to an arbitrary equation of state w, we observe that the Burgers vortex radius diverges as w crosses -1. While it has been argued that such a crossover leads to an instability in certain perfect fluids, the absence of Burgers vortices and therefore vortex stretching suggests that, in addition to the well-studied big rip singularities, viscous phantom fluids generically develop vorticity singularities.

[ { "created": "Tue, 29 Mar 2011 07:19:44 GMT", "version": "v1" } ]

2011-05-26

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

The quintessential vortex solution in (3+1)-dimensional nonrelativistic, incompressible fluid mechanics is the Burgers vortex. We show that, in a finite domain, conformal fluids also admit hot vortex solutions with everywhere nonrelativistic speeds. These are identical to Burgers' solution, except that their radius is reduced by a factor of 2/sqrt(3). A rough calculation indicates that at RHIC these vortices are indeed smaller than the fireball itself during thermalization. Similarly to the Burgers vortex, these solutions manifest vortex stretching which avoids short distance singularities and so suggests that conformal fluid flows share the same nonsingularity as solutions of the Navier-Stokes equations. Naively generalizing this calculation to an arbitrary equation of state w, we observe that the Burgers vortex radius diverges as w crosses -1. While it has been argued that such a crossover leads to an instability in certain perfect fluids, the absence of Burgers vortices and therefore vortex stretching suggests that, in addition to the well-studied big rip singularities, viscous phantom fluids generically develop vorticity singularities.

14.573714

17.12845

16.554008

15.751218

16.801363

18.036774

16.328442

16.344353

15.153491

17.705217

14.713242

14.221934

14.837605

14.383019

14.838072

14.574318

14.819086

14.922058

14.784748

15.095959

13.81409

0805.1551

Silviu Pufu

Steven S. Gubser, Silviu S. Pufu, Amos Yarom

Entropy production in collisions of gravitational shock waves and of heavy ions

40 pages, 4 figures

Phys.Rev.D78:066014,2008

10.1103/PhysRevD.78.066014

PUPT-2269, LMU-ASC 28/08

hep-th

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

We calculate the area of a marginally trapped surface formed by a head-on collision of gravitational shock waves in AdS_D. We use this to obtain a lower bound on the entropy produced after the collision. A comparison to entropy production in heavy ion collisions is included. We also discuss an O(D-2) remnant of conformal symmetry which is present in a class of gravitational shock wave collisions in AdS_D and which might be approximately realized (with D=5) in central heavy-ion collisions.

[ { "created": "Mon, 12 May 2008 14:25:18 GMT", "version": "v1" } ]

2008-11-26

[ [ "Gubser", "Steven S.", "" ], [ "Pufu", "Silviu S.", "" ], [ "Yarom", "Amos", "" ] ]

We calculate the area of a marginally trapped surface formed by a head-on collision of gravitational shock waves in AdS_D. We use this to obtain a lower bound on the entropy produced after the collision. A comparison to entropy production in heavy ion collisions is included. We also discuss an O(D-2) remnant of conformal symmetry which is present in a class of gravitational shock wave collisions in AdS_D and which might be approximately realized (with D=5) in central heavy-ion collisions.

11.021469

8.311836

10.389394

8.846843

8.931326

9.220072

8.8466

8.884691

9.185012

9.326144

8.701468

9.056087

9.497971

9.348997

9.043843

9.237779

9.324073

9.255368

9.290033

9.683401

8.990255

1211.0271

Leonardo Rastelli

Abhijit Gadde, Pedro Liendo, Leonardo Rastelli and Wenbin Yan

On the Integrability of Planar N=2 Superconformal Gauge Theories

20 pages, 1 figure. v2: minor changes, JHEP version

null

10.1007/JHEP08(2013)015

YITP-SB-12-38

hep-th

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

We study the integrability properties of planar N=2 superconformal field theories in four dimensions. We show that the spin chain associated to the planar dilation operator of N=2 superconformal QCD fails to be integrable at two loops. In our analysis we focus on a closed SU(2|1) sector, whose two-loop spin chain we fix by symmetry arguments (up to a few undetermined coefficients). It turns out that the Yang-Baxter equation for magnon scattering is not satisfied in this sector. On the other hand, we suggest that the closed SU(2,1|2) sector, which exists in any N=2 superconformal gauge theory, may be integrable to all loops.

[ { "created": "Thu, 1 Nov 2012 19:58:38 GMT", "version": "v1" }, { "created": "Mon, 8 Jul 2013 16:50:52 GMT", "version": "v2" } ]

2015-06-12

[ [ "Gadde", "Abhijit", "" ], [ "Liendo", "Pedro", "" ], [ "Rastelli", "Leonardo", "" ], [ "Yan", "Wenbin", "" ] ]

We study the integrability properties of planar N=2 superconformal field theories in four dimensions. We show that the spin chain associated to the planar dilation operator of N=2 superconformal QCD fails to be integrable at two loops. In our analysis we focus on a closed SU(2|1) sector, whose two-loop spin chain we fix by symmetry arguments (up to a few undetermined coefficients). It turns out that the Yang-Baxter equation for magnon scattering is not satisfied in this sector. On the other hand, we suggest that the closed SU(2,1|2) sector, which exists in any N=2 superconformal gauge theory, may be integrable to all loops.

5.588722

5.234225

6.065405

5.1051

5.200584

4.851648

5.454919

5.074659

5.060002

6.482459

4.950384

5.269808

5.780749

5.418606

5.10625

5.253862

5.249733

5.203672

5.182718

5.704897

5.186347

1205.1685

Denis Dalmazi

D. Dalmazi

Nonuniqueness of the Fierz-Pauli mass term for a nonsymmetic tensor

15 pages, no figures, typos fixed, massless case revised, 3 references added

null

10.1103/PhysRevD.86.125036

null

hep-th

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

Starting with a description of massive spin-2 particles in D=4 in terms of a mixed symmetry tensor $\tmnd $ without totally antisymmetric part ($T_{[[\mu\nu]\rho]}=0$) we obtain a dual model in terms of a nonsymmetric tensor $e_{\mu\nu}$. The model is of second-order in derivatives and its mass term $(e_{\mu\nu}e^{\nu\mu} + c \, e^2)$ contains an arbitrary real parameter $c$. Remarkably, it is free of ghosts for any real value of $c$ and describes a massive spin-2 particle as expected from duality. The antisymmetric part $e_{[\mu\nu]}$ plays the role of auxiliary fields, vanishing on shell. In the massless case the model describes a massless spin-2 particle without ghosts.

[ { "created": "Tue, 8 May 2012 13:06:46 GMT", "version": "v1" }, { "created": "Tue, 16 Oct 2012 14:06:06 GMT", "version": "v2" } ]

2013-05-30

[ [ "Dalmazi", "D.", "" ] ]

Starting with a description of massive spin-2 particles in D=4 in terms of a mixed symmetry tensor $\tmnd $ without totally antisymmetric part ($T_{[[\mu\nu]\rho]}=0$) we obtain a dual model in terms of a nonsymmetric tensor $e_{\mu\nu}$. The model is of second-order in derivatives and its mass term $(e_{\mu\nu}e^{\nu\mu} + c \, e^2)$ contains an arbitrary real parameter $c$. Remarkably, it is free of ghosts for any real value of $c$ and describes a massive spin-2 particle as expected from duality. The antisymmetric part $e_{[\mu\nu]}$ plays the role of auxiliary fields, vanishing on shell. In the massless case the model describes a massless spin-2 particle without ghosts.

7.251598

6.893322

6.85346

6.153432

6.89476

6.675993

7.617474

6.461864

6.119696

7.47029

6.671705

6.627385

6.762288

6.425166

6.476165

6.527828

6.476707

6.52585

6.578628

6.907709

6.360003

hep-th/9610003

Uwe Grimm

Uwe Grimm and Bernard Nienhuis

Scaling Limit of the Ising Model in a Field

29 pages, RevTeX, 11 PostScript figures included by epsf, using amssymb.sty (v2.2)

Phys.Rev. E55 (1997) 5011-5025

10.1103/PhysRevE.55.5011

ITFA-96-40

hep-th cond-mat nlin.SI solv-int

null

The dilute A_3 model is a solvable IRF (interaction round a face) model with three local states and adjacency conditions encoded by the Dynkin diagram of the Lie algebra A_3. It can be regarded as a solvable version of an Ising model at the critical temperature in a magnetic field. One therefore expects the scaling limit to be governed by Zamolodchikov's integrable perturbation of the c=1/2 conformal field theory. Indeed, a recent thermodynamic Bethe Ansatz approach succeeded to unveil the corresponding E_8 structure under certain assumptions on the nature of the Bethe Ansatz solutions. In order to check these conjectures, we perform a detailed numerical investigation of the solutions of the Bethe Ansatz equations for the critical and off-critical model. Scaling functions for the ground-state corrections and for the lowest spectral gaps are obtained, which give very precise numerical results for the lowest mass ratios in the massive scaling limit. While these agree perfectly with the E_8 mass ratios, we observe one state which seems to violate the assumptions underlying the thermodynamic Bethe Ansatz calculation. We also analyze the critical spectrum of the dilute A_3 model, which exhibits massive excitations on top of the massless states of the Ising conformal field theory.

[ { "created": "Tue, 1 Oct 1996 14:23:55 GMT", "version": "v1" } ]

2008-02-03

[ [ "Grimm", "Uwe", "" ], [ "Nienhuis", "Bernard", "" ] ]

The dilute A_3 model is a solvable IRF (interaction round a face) model with three local states and adjacency conditions encoded by the Dynkin diagram of the Lie algebra A_3. It can be regarded as a solvable version of an Ising model at the critical temperature in a magnetic field. One therefore expects the scaling limit to be governed by Zamolodchikov's integrable perturbation of the c=1/2 conformal field theory. Indeed, a recent thermodynamic Bethe Ansatz approach succeeded to unveil the corresponding E_8 structure under certain assumptions on the nature of the Bethe Ansatz solutions. In order to check these conjectures, we perform a detailed numerical investigation of the solutions of the Bethe Ansatz equations for the critical and off-critical model. Scaling functions for the ground-state corrections and for the lowest spectral gaps are obtained, which give very precise numerical results for the lowest mass ratios in the massive scaling limit. While these agree perfectly with the E_8 mass ratios, we observe one state which seems to violate the assumptions underlying the thermodynamic Bethe Ansatz calculation. We also analyze the critical spectrum of the dilute A_3 model, which exhibits massive excitations on top of the massless states of the Ising conformal field theory.

8.416288

6.115767

9.963017

7.129202

6.679485

6.640982

6.530957

6.336698

6.939362

9.789128

6.998107

7.389973

8.478617

7.547026

7.273427

7.305488

7.448309

7.277141

7.626197

8.651649

7.378128

2012.10703

Sze-Shiang Feng

Sze-Shiang Feng, Mogus Mochena

A Generally Covariant Theory of Quantized Dirac Field in de Sitter Spacetime

15 pages. arXiv admin note: text overlap with arXiv:2003.09898

Letters. in High Energy Physics, LHEP-205,2021

10.31526/lhep.2021.205

null

hep-th gr-qc

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

As a sequel to our previous work\cite{Feng2020}, we propose in this paper a quantization scheme for Dirac field in de Sitter spacetime. Our scheme is covariant under both general transformations and Lorentz transformations. We first present a Hamiltonian structure, then quantize the field following the standard approach of constrained systems. For the free field, the time-dependent quantized Hamiltonian is diagonalized by Bogliubov transformation and the eigen-states at each instant are interpreted as the observed particle states at that instant. The measurable energy-momentum of observed particle/antiparticles are the same as obtained for Klein-Gordon field. Moreover, the energy-momentum also satisfies geodesic equation, a feature justifying its measurability. As in \cite{Feng2020}, though the mathematics is carried out in terms of conformal coordinates for the sake of convenience, the whole theory can be transformed into any other coordinates based on general covariance. It is concluded that particle/antiparticle states, such as vacuum states in particular are time-dependent and vacuum states at one time evolves into non-vacuum states at later times. Formalism of perturbational calculation is provided with an extended Dirac picture.

[ { "created": "Sat, 19 Dec 2020 14:48:12 GMT", "version": "v1" }, { "created": "Sat, 6 Feb 2021 14:51:45 GMT", "version": "v2" } ]

2023-09-06

[ [ "Feng", "Sze-Shiang", "" ], [ "Mochena", "Mogus", "" ] ]

As a sequel to our previous work\cite{Feng2020}, we propose in this paper a quantization scheme for Dirac field in de Sitter spacetime. Our scheme is covariant under both general transformations and Lorentz transformations. We first present a Hamiltonian structure, then quantize the field following the standard approach of constrained systems. For the free field, the time-dependent quantized Hamiltonian is diagonalized by Bogliubov transformation and the eigen-states at each instant are interpreted as the observed particle states at that instant. The measurable energy-momentum of observed particle/antiparticles are the same as obtained for Klein-Gordon field. Moreover, the energy-momentum also satisfies geodesic equation, a feature justifying its measurability. As in \cite{Feng2020}, though the mathematics is carried out in terms of conformal coordinates for the sake of convenience, the whole theory can be transformed into any other coordinates based on general covariance. It is concluded that particle/antiparticle states, such as vacuum states in particular are time-dependent and vacuum states at one time evolves into non-vacuum states at later times. Formalism of perturbational calculation is provided with an extended Dirac picture.

11.552585

12.372683

12.095248

10.89812

12.157784

12.223336

11.673282

11.282094

11.622389

12.582182

11.027896

11.381796

11.260996

11.136269

11.154689

11.298907

11.330499

11.317837

11.361602

11.038878

11.393256

1504.05581

Don N. Page

Don N. Page and Andrey A. Shoom

The Universal Area Product: An Heuristic Argument

5 pages, LaTeX, minor changes in response to a referee's comments, yet another reference added

null

Alberta-Thy-4-15

hep-th

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

We present an heuristic argument for the universal area product: A_{+}A_{-}=(8\pi J)^{2}+(4\pi Q^{2})^{2} for a four-dimensional, stationary, axisymmetric, electrically charged black hole with an arbitrary stationary axisymmetric distribution of external matter (possibly charged), derived by Marcus Ansorg and Jorg Hennig. Here A_{+} and A_{-} are the areas of the event and Cauchy horizons, and J and Q are the angular momentum and electric charge. Based on this argument, we conjecture that a universal area product holds for higher-dimensional, stationary, multi-horizon black objects in the presence of an external stationary charged distribution of matter.

[ { "created": "Tue, 21 Apr 2015 20:00:37 GMT", "version": "v1" }, { "created": "Thu, 23 Apr 2015 22:14:58 GMT", "version": "v2" }, { "created": "Tue, 5 May 2015 22:31:26 GMT", "version": "v3" }, { "created": "Fri, 31 Jul 2015 23:09:55 GMT", "version": "v4" } ]

2015-08-04

[ [ "Page", "Don N.", "" ], [ "Shoom", "Andrey A.", "" ] ]

We present an heuristic argument for the universal area product: A_{+}A_{-}=(8\pi J)^{2}+(4\pi Q^{2})^{2} for a four-dimensional, stationary, axisymmetric, electrically charged black hole with an arbitrary stationary axisymmetric distribution of external matter (possibly charged), derived by Marcus Ansorg and Jorg Hennig. Here A_{+} and A_{-} are the areas of the event and Cauchy horizons, and J and Q are the angular momentum and electric charge. Based on this argument, we conjecture that a universal area product holds for higher-dimensional, stationary, multi-horizon black objects in the presence of an external stationary charged distribution of matter.

6.989876

7.677111

6.579927

6.790385

8.47435

7.660018

7.482867

6.553731

7.926127

8.41757

7.697422

6.952806

6.21421

6.539253

6.340764

6.455802

6.716609

6.593856

6.991778

6.301816

6.675106

1606.02817

Takahiro Terada

Sergei V. Ketov and Takahiro Terada

On SUSY Restoration in Single-Superfield Inflationary Models of Supergravity

24 pages, 5 figures; v3, published version (minor revision)

The European Physical Journal C, 76 (2016) no.8, 1-9

10.1140/epjc/s10052-016-4283-6

APCTP Pre2016-011, IPMU 16-0077

hep-th astro-ph.CO hep-ph

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

We study the conditions of restoring supersymmetry (SUSY) after inflation in the supergravity-based cosmological models with a single chiral superfield and a quartic stabilization term in the K\"ahler potential. Some new, explicit, and viable inflationary models satisfying those conditions are found. The inflaton's scalar superpartner is dynamically stabilized during and after inflation. We also demonstrate a possibility of having small and adjustable SUSY breaking with a tiny cosmological constant.

[ { "created": "Thu, 9 Jun 2016 04:08:29 GMT", "version": "v1" }, { "created": "Thu, 23 Jun 2016 10:51:10 GMT", "version": "v2" }, { "created": "Mon, 8 Aug 2016 05:16:16 GMT", "version": "v3" } ]

2016-08-09

[ [ "Ketov", "Sergei V.", "" ], [ "Terada", "Takahiro", "" ] ]

We study the conditions of restoring supersymmetry (SUSY) after inflation in the supergravity-based cosmological models with a single chiral superfield and a quartic stabilization term in the K\"ahler potential. Some new, explicit, and viable inflationary models satisfying those conditions are found. The inflaton's scalar superpartner is dynamically stabilized during and after inflation. We also demonstrate a possibility of having small and adjustable SUSY breaking with a tiny cosmological constant.

11.083212

9.309205

10.363818

9.351295

9.572405

9.842834

8.928231

9.592667

9.022994

10.081846

9.750864

9.744791

10.582188

10.211132

10.059049

10.202745

9.972073

10.094065

10.04177

10.541298

10.07209

1306.0017

Jan Gutowski

J. Grover, J. B. Gutowski and W. A. Sabra

Supersymmetric AdS Black Rings

16 pages, latex

null

DMUS--MP--13/15

hep-th

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

It has been proven in arXiv:1303.0853 that all regular supersymmetric near-horizon geometries in minimal five-dimensional gauged supergravity admit automatic supersymmetry enhancement. Using this result, the integrability conditions associated with the existence of the additional supersymmetry are analysed, and the near-horizon geometries are determined explicitly. We show that they all correspond to previously constructed examples. Hence, there are no supersymmetric black ring solutions in minimal five-dimensional gauged supergravity.

[ { "created": "Fri, 31 May 2013 20:06:44 GMT", "version": "v1" } ]

2013-06-04

[ [ "Grover", "J.", "" ], [ "Gutowski", "J. B.", "" ], [ "Sabra", "W. A.", "" ] ]

It has been proven in arXiv:1303.0853 that all regular supersymmetric near-horizon geometries in minimal five-dimensional gauged supergravity admit automatic supersymmetry enhancement. Using this result, the integrability conditions associated with the existence of the additional supersymmetry are analysed, and the near-horizon geometries are determined explicitly. We show that they all correspond to previously constructed examples. Hence, there are no supersymmetric black ring solutions in minimal five-dimensional gauged supergravity.

8.568241

6.89009

7.819649

6.330405

7.068905

6.705573

6.213564

6.033582

7.037281

8.447019

6.884133

6.782171

7.239244

7.024055

7.07206

7.015779

6.868626

6.868094

7.053208

7.424321

7.029758

2004.05742

Yuji Sugawara

Non-Compact SCFT and Mock Modular Forms

1+33 pages, no figure, dedicated to the memories of Prof. Tohru Eguchi, to be published in PTEP (special section); v2 typos corrected

null

hep-th

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

One of interesting issues in two-dimensional superconformal field theories is the existence of anomalous modular transformation properties appearing in some non-compact superconformal models, corresponding to the `mock modularity' in mathematical literature. I review a series of my studies on this issue in collaboration with T. Eguchi, mainly focusing on the papers [arXiv:1012.5721 [hep-th]], [arXiv:1407.7721 [hep-th]], [arXiv:1603.02903 [hep-th]].

[ { "created": "Mon, 13 Apr 2020 02:04:59 GMT", "version": "v1" }, { "created": "Mon, 18 May 2020 01:51:54 GMT", "version": "v2" } ]

2020-05-19

[ [ "Sugawara", "Yuji", "" ] ]

One of interesting issues in two-dimensional superconformal field theories is the existence of anomalous modular transformation properties appearing in some non-compact superconformal models, corresponding to the `mock modularity' in mathematical literature. I review a series of my studies on this issue in collaboration with T. Eguchi, mainly focusing on the papers [arXiv:1012.5721 [hep-th]], [arXiv:1407.7721 [hep-th]], [arXiv:1603.02903 [hep-th]].

8.467996

7.689115

8.663963

7.580951

7.966689

7.973064

7.687174

7.16293

7.128298

8.562321

7.337785

7.277544

8.009607

7.354181

7.10334

7.267153

7.336804

7.130147

7.481841

7.768975

7.555258

2301.01723

Cl\'ement Leloup

C. Leloup, L. Heitz and J. Neveu

Instability of the cosmological DBI-Galileon in the non-relativistic limit

null

10.1088/1361-6382/acf90c

null

hep-th astro-ph.CO gr-qc

http://creativecommons.org/licenses/by-nc-sa/4.0/

The DBI-Galileon model is a scalar-tensor theory of gravity which is defined as the most general theory of the dynamics of a 4D brane embedded in a 5D bulk. It is of particular interest as it introduces only a few free parameters, all with a clear physical meaning, such as the brane tension which is related to the cosmological constant. From the tight constraints on the gravitational waves speed, we are naturally led to consider the non-relativistic limit of the model where the kinetic energy of the brane is small compared to its tension, that we study in the context of late-time cosmology. We show that the DBI-Galileon in the non-relativistic limit is an expansion around General Relativity (GR) which can be expressed as a shift-symmetric Horndeski theory. We develop the description of this theory at the background and perturbation level. However, by studying the scalar and tensor perturbations around a flat FLRW background, we find that they contain a ghost degree of freedom leading to a fatal instability of the vacuum for every combination of the free parameters. In order to avoid it in the more general cases of shift-symmetric Horndeski theories, we emphasize which of the Horndeski terms are in competition to produce this instability.

[ { "created": "Wed, 4 Jan 2023 17:42:09 GMT", "version": "v1" }, { "created": "Fri, 4 Aug 2023 11:33:32 GMT", "version": "v2" } ]

2023-12-15

[ [ "Leloup", "C.", "" ], [ "Heitz", "L.", "" ], [ "Neveu", "J.", "" ] ]

The DBI-Galileon model is a scalar-tensor theory of gravity which is defined as the most general theory of the dynamics of a 4D brane embedded in a 5D bulk. It is of particular interest as it introduces only a few free parameters, all with a clear physical meaning, such as the brane tension which is related to the cosmological constant. From the tight constraints on the gravitational waves speed, we are naturally led to consider the non-relativistic limit of the model where the kinetic energy of the brane is small compared to its tension, that we study in the context of late-time cosmology. We show that the DBI-Galileon in the non-relativistic limit is an expansion around General Relativity (GR) which can be expressed as a shift-symmetric Horndeski theory. We develop the description of this theory at the background and perturbation level. However, by studying the scalar and tensor perturbations around a flat FLRW background, we find that they contain a ghost degree of freedom leading to a fatal instability of the vacuum for every combination of the free parameters. In order to avoid it in the more general cases of shift-symmetric Horndeski theories, we emphasize which of the Horndeski terms are in competition to produce this instability.

6.864328

7.038108

6.474083

6.140938

6.636455

6.666907

6.513131

6.142596

6.653149

6.61113

6.477341

6.408064

6.224108

6.415581

6.445796

6.296659

6.345488

6.353247

6.396479

6.178147

6.521559

1003.5027

Olaf Hohm

Olaf Hohm, Chris Hull, and Barton Zwiebach

Background independent action for double field theory

45 pages, v2: minor corrections, refs. added, to appear in JHEP

JHEP 1007:016,2010

10.1007/JHEP07(2010)016

Imperial-TP-2010-CH-01, MIT-CTP-4128

hep-th

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

Double field theory describes a massless subsector of closed string theory with both momentum and winding excitations. The gauge algebra is governed by the Courant bracket in certain subsectors of this double field theory. We construct the associated nonlinear background-independent action that is T-duality invariant and realizes the Courant gauge algebra. The action is the sum of a standard action for gravity, antisymmetric tensor, and dilaton fields written with ordinary derivatives, a similar action for dual fields with dual derivatives, and a mixed term that is needed for gauge invariance.

[ { "created": "Fri, 26 Mar 2010 01:34:45 GMT", "version": "v1" }, { "created": "Mon, 5 Jul 2010 20:19:27 GMT", "version": "v2" } ]

2014-11-20

[ [ "Hohm", "Olaf", "" ], [ "Hull", "Chris", "" ], [ "Zwiebach", "Barton", "" ] ]

Double field theory describes a massless subsector of closed string theory with both momentum and winding excitations. The gauge algebra is governed by the Courant bracket in certain subsectors of this double field theory. We construct the associated nonlinear background-independent action that is T-duality invariant and realizes the Courant gauge algebra. The action is the sum of a standard action for gravity, antisymmetric tensor, and dilaton fields written with ordinary derivatives, a similar action for dual fields with dual derivatives, and a mixed term that is needed for gauge invariance.

9.386806

9.629691

11.397002

8.263948

9.003684

10.088925

9.423408

10.41734

9.437278

13.522679

9.061594

8.624153

9.680776

8.571361

9.136971

9.207713

8.792913

8.851415

8.993951

9.519726

9.140906

hep-th/9404037

null

F. Delduc, L. Frappat, E. Ragoucy, P. Sorba

Gauged W Algebras

11 p., Latex. There was a misprint on the last author

Phys.Lett. B335 (1994) 151-160

10.1016/0370-2693(94)91406-0

null

hep-th

null

We perform an Hamiltonian reduction on a classical \cw(\cg, \ch) algebra, and prove that we get another \cw(\cg, \ch$'$) algebra, with $\ch\subset\ch'$. In the case $\cg=S\ell(n)$, the existence of a suitable gauge, called Generalized Horizontal Gauge, allows to relate in this way two \cw-algebras as soon as their corresponding \ch-algebras are related by inclusion.

[ { "created": "Thu, 7 Apr 1994 13:27:45 GMT", "version": "v1" }, { "created": "Fri, 8 Apr 1994 09:26:34 GMT", "version": "v2" } ]

2016-09-06

[ [ "Delduc", "F.", "" ], [ "Frappat", "L.", "" ], [ "Ragoucy", "E.", "" ], [ "Sorba", "P.", "" ] ]

We perform an Hamiltonian reduction on a classical \cw(\cg, \ch) algebra, and prove that we get another \cw(\cg, \ch$'$) algebra, with $\ch\subset\ch'$. In the case $\cg=S\ell(n)$, the existence of a suitable gauge, called Generalized Horizontal Gauge, allows to relate in this way two \cw-algebras as soon as their corresponding \ch-algebras are related by inclusion.

15.390488

14.355054

15.982581

11.59842

13.900657

13.695867

15.529868

14.62532

12.125628

17.419703

15.096872

13.008786

15.170037

13.401686

13.837566

13.525142

13.429943

13.096969

13.47152

14.393143

13.799582

hep-th/0701110

Dmitri Vassilevich

D. M. Gitman and D. V. Vassilevich

Space-time noncommutativity with a bifermionic parameter

8 pages, v2: reference added, v3: misprints corrected

Mod.Phys.Lett.A23:887-893,2008

10.1142/S0217732308024481

Publicacao IFUSP-1631/2007

hep-th

null

We consider a Moyal plane and propose to make the noncommutativity parameter \Theta^{\mu\nu} bifermionic, i.e., composed of two fermionic (Grassmann odd) parameters. The Moyal product then contains a finite number of derivatives, which allows to avoid difficulties of the standard approach. As an example, we construct a two-dimensional noncommutative field theory model based on the Moyal product with a bifermionic parameter and show that it has a locally conserved energy-momentum tensor. The model has no problems with the canonical quantization and appears to be renormalizable.

[ { "created": "Thu, 11 Jan 2007 19:13:23 GMT", "version": "v1" }, { "created": "Fri, 19 Jan 2007 17:08:51 GMT", "version": "v2" }, { "created": "Thu, 8 Mar 2007 20:10:18 GMT", "version": "v3" } ]

2008-11-26

[ [ "Gitman", "D. M.", "" ], [ "Vassilevich", "D. V.", "" ] ]

We consider a Moyal plane and propose to make the noncommutativity parameter \Theta^{\mu\nu} bifermionic, i.e., composed of two fermionic (Grassmann odd) parameters. The Moyal product then contains a finite number of derivatives, which allows to avoid difficulties of the standard approach. As an example, we construct a two-dimensional noncommutative field theory model based on the Moyal product with a bifermionic parameter and show that it has a locally conserved energy-momentum tensor. The model has no problems with the canonical quantization and appears to be renormalizable.

7.245771

6.674212

7.368326

6.373724

6.999177

6.852873

6.47817

6.841427

6.261603

6.925098

6.507004

6.447174

6.708316

6.719802

6.614148

6.685515

6.576786

6.620997

6.830232

6.626156

6.678795

hep-th/0202160

Pedro J. Silva

Stabilization of Hyperbolic Brane-World Scenarios

To appear in the Conference proceedings: Theoretical High Energy Physics Conference SUNY Utica/Rome NY Fall 2001

null

SUGP-02/2-3

hep-th

null

In this talk we consider the issue of stabilization of compact hyperbolic brane-world scenarios from the point of view of 4-dimensional effective theories. The idea is to clarify the status of stabilization for these models. Possible ways to overcome a no-go theorem that appeared in a recent paper are shown invoking the holographic framework and type IIA*/IIB* theories. A brief discussion on supersymmetry is also given.

[ { "created": "Fri, 22 Feb 2002 22:44:18 GMT", "version": "v1" } ]

2007-05-23

[ [ "Silva", "Pedro J.", "" ] ]

In this talk we consider the issue of stabilization of compact hyperbolic brane-world scenarios from the point of view of 4-dimensional effective theories. The idea is to clarify the status of stabilization for these models. Possible ways to overcome a no-go theorem that appeared in a recent paper are shown invoking the holographic framework and type IIA*/IIB* theories. A brief discussion on supersymmetry is also given.

16.954916

15.710065

15.151306

13.722525

16.192022

15.797756

15.655229

14.977477

13.947974

16.844662

14.993587

14.835924

13.940175

14.510689

13.747536

14.376475

14.384638

13.825998

14.283034

14.353007

13.733597

hep-th/9506195

Ara Sedrakyan

T.Hakobyan, A.Sedrakyan

Spin Chain Hamiltonians with Affine $U_q g$ symmetry

10 pages, LATEX

Phys. Lett. B377 (1996) 250

10.1016/0370-2693(95)01320-2

BUTP-95/20

hep-th

null

We construct the family of spin chain Hamiltonians, which have affine $U_q g$ guantum group symmetry. Their eigenvalues coincides with the eigenvalues of the usual spin chain Hamiltonians which have non-affine $U_q g_0$ quantum group symmetry, but have the degeneracy of levels, corresponding to affine $U_q g$. The space of states of these chaines are formed by the tensor product of the fully reducible representations.

[ { "created": "Thu, 29 Jun 1995 17:17:50 GMT", "version": "v1" } ]

2007-05-23

[ [ "Hakobyan", "T.", "" ], [ "Sedrakyan", "A.", "" ] ]

We construct the family of spin chain Hamiltonians, which have affine $U_q g$ guantum group symmetry. Their eigenvalues coincides with the eigenvalues of the usual spin chain Hamiltonians which have non-affine $U_q g_0$ quantum group symmetry, but have the degeneracy of levels, corresponding to affine $U_q g$. The space of states of these chaines are formed by the tensor product of the fully reducible representations.

11.085998

10.913581

11.510943

11.0345

10.068183

11.58144

10.28428

9.557709

10.141364

14.9718

10.072385

10.272227

11.478648

10.302529

10.142747

9.82586

10.092067

10.144413

10.040116

12.162896

9.829975

hep-th/0611199

Sherwin T. Love

S.T. Love

Dynamics of (SUSY) AdS Space Isometry Breaking

6 pages, 0 figures, to appear in Proceedings of IRGAC 2006: 2nd International Conference on Quantum Theories and Renormalization Group in Gravity and Cosmology, Barcelona

J.Phys.A40:7049-7054,2007

10.1088/1751-8113/40/25/S60

null

hep-th

null

Actions governing the dynamics of the Nambu-Goldstone modes resulting from the spontaneous breaking of the SO(4,2) and $SU(2,2|1)$ isometries of five dimensional anti-de Sitter space ($AdS_{5}$) and SUSY $AdS_{5}\times S_1$ spaces respectively due to a restriction of the motion to embedded four dimensional $AdS_{4}$ space and four dimensional Minkowski space ($M_4$) probe branes are presented. The dilatonic Nambu-Goldstone mode governing the motion of the $M_4$ space probe brane into the covolume of the SUSY $AdS_5\times S_1$ space is found to be unstable. No such instablility appears in the other cases. Gauging these symmetries leads to an Einstein-Hilbert action containing, in addition to the gravitational vierbein, a massive Abelian vector field coupled to gravity.

[ { "created": "Fri, 17 Nov 2006 16:23:58 GMT", "version": "v1" } ]

2008-11-26

[ [ "Love", "S. T.", "" ] ]

Actions governing the dynamics of the Nambu-Goldstone modes resulting from the spontaneous breaking of the SO(4,2) and $SU(2,2|1)$ isometries of five dimensional anti-de Sitter space ($AdS_{5}$) and SUSY $AdS_{5}\times S_1$ spaces respectively due to a restriction of the motion to embedded four dimensional $AdS_{4}$ space and four dimensional Minkowski space ($M_4$) probe branes are presented. The dilatonic Nambu-Goldstone mode governing the motion of the $M_4$ space probe brane into the covolume of the SUSY $AdS_5\times S_1$ space is found to be unstable. No such instablility appears in the other cases. Gauging these symmetries leads to an Einstein-Hilbert action containing, in addition to the gravitational vierbein, a massive Abelian vector field coupled to gravity.

7.139752

6.356456

7.393818

6.385712

6.52644

6.163521

6.183607

6.529572

6.213291

7.871416

6.430871

6.536515

6.548005

6.313272

6.40752

6.342381

6.457599

6.420008

6.29464

6.857691

6.438998

hep-th/0602259

Stefano Bellucci

Stefano Bellucci, Sylvester James Gates, Jr., Emanuele Orazi

A Journey Through Garden Algebras

50 pages, based on lectures delivered at the Winter School on Modern Trends in Supersymmetric Mechanics 7 - 12 March 2005, Frascati, Italy

Lect.NotesPhys.698:1-47,2006

10.1007/3-540-33314-2_1

null

hep-th

null

The main purpose of these lectures is to give a pedagogical overview on the possibility to classify and relate off-shell linear supermultiplets in the context of supersymmetric mechanics. A special emphasis is given to a recent graphical technique that turns out to be particularly effective for describing many aspects of supersymmetric mechanics in a direct and simplifying way.

[ { "created": "Fri, 24 Feb 2006 15:25:52 GMT", "version": "v1" } ]

2012-08-27

[ [ "Bellucci", "Stefano", "" ], [ "Gates,", "Sylvester James", "Jr." ], [ "Orazi", "Emanuele", "" ] ]

The main purpose of these lectures is to give a pedagogical overview on the possibility to classify and relate off-shell linear supermultiplets in the context of supersymmetric mechanics. A special emphasis is given to a recent graphical technique that turns out to be particularly effective for describing many aspects of supersymmetric mechanics in a direct and simplifying way.

13.336097

13.424273

13.381466

11.49016

10.70574

10.669345

11.958055

12.184385

10.139383

13.229072

11.059139

10.749591

12.34293

11.00894

10.972723

11.267892

10.771039

11.081832

11.266493

13.340482

11.214461

hep-th/0304245

Marti Ruiz-Altaba

Henri Ruegg, Marti Ruiz-Altaba (Universite de Geneve)

The Stueckelberg Field

58 pages, revtex4 RMP format. Added references, minor improvements to text

Int.J.Mod.Phys.A19:3265-3348,2004

10.1142/S0217751X04019755

UGVA-DPT-04-1106

hep-th hep-ph

null

In 1938, Stueckelberg introduced a scalar field which makes an Abelian gauge theory massive but preserves gauge invariance. The Stueckelberg mechanism is the introduction of new fields to reveal a symmetry of a gauge--fixed theory. We first review the Stueckelberg mechanism in the massive Abelian gauge theory. We then extend this idea to the standard model, stueckelberging the hypercharge U(1) and thus giving a mass to the physical photon. This introduces an infrared regulator for the photon in the standard electroweak theory, along with a modification of the weak mixing angle accompanied by a plethora of new effects. Notably, neutrinos couple to the photon and charged leptons have also a pseudo-vector coupling. Finally, we review the historical influence of Stueckelberg's 1938 idea, which led to applications in many areas not anticipated by the author, such as strings. We describe the numerous proposals to generalize the Stueckelberg trick to the non-Abelian case with the aim to find alternatives to the standard model. Nevertheless, the Higgs mechanism in spontaneous symmetry breaking remains the only presently known way to give masses to non-Abelian vector fields in a renormalizable and unitary theory.

[ { "created": "Tue, 29 Apr 2003 10:49:21 GMT", "version": "v1" }, { "created": "Mon, 28 Jul 2003 15:57:06 GMT", "version": "v2" } ]

2011-07-19

[ [ "Ruegg", "Henri", "", "Universite de Geneve" ], [ "Ruiz-Altaba", "Marti", "", "Universite de Geneve" ] ]

In 1938, Stueckelberg introduced a scalar field which makes an Abelian gauge theory massive but preserves gauge invariance. The Stueckelberg mechanism is the introduction of new fields to reveal a symmetry of a gauge--fixed theory. We first review the Stueckelberg mechanism in the massive Abelian gauge theory. We then extend this idea to the standard model, stueckelberging the hypercharge U(1) and thus giving a mass to the physical photon. This introduces an infrared regulator for the photon in the standard electroweak theory, along with a modification of the weak mixing angle accompanied by a plethora of new effects. Notably, neutrinos couple to the photon and charged leptons have also a pseudo-vector coupling. Finally, we review the historical influence of Stueckelberg's 1938 idea, which led to applications in many areas not anticipated by the author, such as strings. We describe the numerous proposals to generalize the Stueckelberg trick to the non-Abelian case with the aim to find alternatives to the standard model. Nevertheless, the Higgs mechanism in spontaneous symmetry breaking remains the only presently known way to give masses to non-Abelian vector fields in a renormalizable and unitary theory.

8.54788

8.356903

8.579418

8.249125

8.159091

8.401825

8.441185

8.36287

8.454656

8.514348

8.041215

8.172026

8.04998

8.046656

8.288116

8.024289

8.139141

8.052384

8.199561

8.585871

8.268709

1009.2153

Grigory Vartanov

G. S. Vartanov

On the ISS model of dynamical SUSY breaking

LaTex, 5 pages; minor changes, accepted for publication in Physics Letters B

Phys.Lett.B696:288-290,2011

10.1016/j.physletb.2010.12.040

AEI-2010-148

hep-th

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

In this letter we would like to apply the superconformal index technique to give one more evidence for the theory proposed by Intriligator, Seiberg and Shenker (ISS) as being described by interacting conformal field theory in its IR fixed point.

[ { "created": "Sat, 11 Sep 2010 10:39:20 GMT", "version": "v1" }, { "created": "Tue, 4 Jan 2011 14:23:19 GMT", "version": "v2" } ]

2011-01-17

[ [ "Vartanov", "G. S.", "" ] ]

In this letter we would like to apply the superconformal index technique to give one more evidence for the theory proposed by Intriligator, Seiberg and Shenker (ISS) as being described by interacting conformal field theory in its IR fixed point.

10.157397

8.922743

10.593079

8.348069

8.644832

9.945733

8.843239

8.620245

9.829671

12.477395

9.374271

8.419719

9.402029

9.062966

8.823605

8.965801

8.262402

8.500059

8.155532

9.117697

8.405205

hep-th/9607193

Marco Serone

Jose F. Morales and Marco Serone

Higher Derivative F-terms in N=2 Strings

19 pages, latex file, no figures

Nucl.Phys. B481 (1996) 389-402

10.1016/S0550-3213(96)90143-1

SISSA-118/96/EP

hep-th

null

We study a special class of higher derivative F-terms of the form $F_{g,n}W^{2g}(\Pi f)^{n}$ where W is the N=2 gravitational superfield and $\Pi$ is the chiral projector applied to a non-holomorphic function $f$ of the heterotic dilaton vector superfield. We analyze these couplings in the heterotic theory on $K3\times T^2$ , where it is found they satisfy an anomaly equation as the well studied $F_{g,0}$ terms. We recognize that, near a point of SU(2) enhancement, a given generating function of the leading singularity of the $F_{g,n}$ reproduces the free energy of a c=1 string at an arbitrary radius R. According to the N=2 heterotic-type II duality in 4d, we then study these couplings near a conifold singularity, using its local description in terms of intersecting D-5-branes. In this context, it turns out that there exists, among the other states involved, a vector gauge field reproducing the heterotic leading singularity structure.

[ { "created": "Thu, 25 Jul 1996 15:32:01 GMT", "version": "v1" } ]

2015-06-26

[ [ "Morales", "Jose F.", "" ], [ "Serone", "Marco", "" ] ]

We study a special class of higher derivative F-terms of the form $F_{g,n}W^{2g}(\Pi f)^{n}$ where W is the N=2 gravitational superfield and $\Pi$ is the chiral projector applied to a non-holomorphic function $f$ of the heterotic dilaton vector superfield. We analyze these couplings in the heterotic theory on $K3\times T^2$ , where it is found they satisfy an anomaly equation as the well studied $F_{g,0}$ terms. We recognize that, near a point of SU(2) enhancement, a given generating function of the leading singularity of the $F_{g,n}$ reproduces the free energy of a c=1 string at an arbitrary radius R. According to the N=2 heterotic-type II duality in 4d, we then study these couplings near a conifold singularity, using its local description in terms of intersecting D-5-branes. In this context, it turns out that there exists, among the other states involved, a vector gauge field reproducing the heterotic leading singularity structure.

11.84399

10.530441

13.690858

10.76825

11.247088

11.324752

10.374303

10.155923

10.75531

12.795594

10.589006

10.718834

11.489978

11.037005

11.110351

11.62017

10.776975

11.271815

11.150201

12.13313

10.634644

1108.4273

Mojtaba Najafizadeh

Mojtaba Najafizadeh and Mehdi Saadat

Thermodynamics of Classical Systems on Noncommutative Phase Space

11 pages, no figure

Chin.J.Phys. 51 (2013) no.1, 94

10.6122/CJP.51.94

null

hep-th cond-mat.stat-mech

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

We study the formulation of statistical mechanics on noncommutative classical phase space, and construct the corresponding canonical ensemble theory. For illustration, some basic and important examples are considered in the framework of noncommutative statistical mechanics: such as the ideal gas, the extreme relativistic gas, and the 3-dimensional harmonic oscillator.

[ { "created": "Mon, 22 Aug 2011 10:36:19 GMT", "version": "v1" }, { "created": "Fri, 5 Apr 2013 20:28:47 GMT", "version": "v2" } ]

2020-05-06

[ [ "Najafizadeh", "Mojtaba", "" ], [ "Saadat", "Mehdi", "" ] ]

We study the formulation of statistical mechanics on noncommutative classical phase space, and construct the corresponding canonical ensemble theory. For illustration, some basic and important examples are considered in the framework of noncommutative statistical mechanics: such as the ideal gas, the extreme relativistic gas, and the 3-dimensional harmonic oscillator.

8.569238

8.320893

8.088828

8.035117

7.926034

7.366072

7.731509

8.521168

7.776829

7.698755

8.149166

7.981079

8.075015

8.295283

8.477138

8.195888

7.906903

7.884181

7.879567

7.96906

7.770498

hep-th/0109114

null

Sergiu I. Vacaru and Denis Gontsa

Off-Diagonal Metrics and Anisotropic Brane Inflation

7 pages, Revtex, version 2 with changed affiliation and references

Chapter 9 in: "Clifford and Riemann Finsler Structures in Geometric Mechanics and Gravity, Selected Works by S. Vacaru, P. Stavrinos, E. Gaburov and D. Gonta (Geometry Balkan Press, 2006) http://www.mathem.pub.ro/dgds/mono/va-t.pdf

null

hep-th

null

We study anisotropic reheating (entropy production) on 3D brane from a decaying bulk scalar field in the brane-world picture of the Universe by considering off-diagonal metrics and anholonomic frames. We show that a significant amount of, in general, anisotropic dark radiation is produced in this process unless only the modes which satisfy a specific relation are excited. We conclude that subsequent entropy production within the brane is required in general before primordial nucleosynthesis and that the presence of off-diagonal components (like in the Salam, Strathee and Petracci works) of the bulk metric modifies the processes of entropy production which could substantially change the brane-world picture of the Universe.

[ { "created": "Fri, 14 Sep 2001 09:48:44 GMT", "version": "v1" }, { "created": "Mon, 29 Oct 2001 17:21:40 GMT", "version": "v2" } ]

2007-05-23

[ [ "Vacaru", "Sergiu I.", "" ], [ "Gontsa", "Denis", "" ] ]

We study anisotropic reheating (entropy production) on 3D brane from a decaying bulk scalar field in the brane-world picture of the Universe by considering off-diagonal metrics and anholonomic frames. We show that a significant amount of, in general, anisotropic dark radiation is produced in this process unless only the modes which satisfy a specific relation are excited. We conclude that subsequent entropy production within the brane is required in general before primordial nucleosynthesis and that the presence of off-diagonal components (like in the Salam, Strathee and Petracci works) of the bulk metric modifies the processes of entropy production which could substantially change the brane-world picture of the Universe.

19.162609

22.648294

17.952654

18.577667

20.522808

19.845572

20.240913

21.686375

17.733074

20.072239

19.775894

20.417122

18.224098

17.894089

18.985006

19.561087

19.561806

19.31447

18.200584

17.798563

18.460678

1905.09302

Yue-Zhou Li

Yue-Zhou Li, Zhan-Feng Mai, H. Lu

Holographic OPE Coefficients from AdS Black Holes with Matters

Latex, 53 pages, a serious technique error regarding $c_{d,0}$ corrected, typos corrected, references added

null

10.1007/JHEP09(2019)001

null

hep-th

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

We study the OPE coefficients $c_{\Delta, J}$ for heavy-light scalar four-point functions, which can be obtained holographically from the two-point function of a light scalar of some non-integer conformal dimension $\Delta_L$ in an AdS black hole. We verify that the OPE coefficient $c_{d,0}=0$ for pure gravity black holes, consistent with the tracelessness of the holographic energy-momentum tensor. We then study the OPE coefficients from black holes involving matter fields. We first consider general charged AdS black holes and we give some explicit low-lying examples of the OPE coefficients. We also obtain the recursion formula for the lowest-twist OPE coefficients with at most two current operators. For integer $\Delta_L$, although the OPE coefficients are not fully determined, we set up a framework to read off the coefficients $\gamma_{\Delta,J}$ of the $\log(z\bar{z})$ terms that are associated with the anomalous dimensions of the exchange operators and obtain a general formula for $\gamma_{\Delta,J}$. We then consider charged AdS black holes in gauged supergravity STU models in $D=5$ and $D=7$, and their higher-dimensional generalizations. The scalar fields in the STU models are conformally massless, dual to light operators with $\Delta_L=d-2$. We derive the linear perturbation of such a scalar in the STU charged AdS black holes and obtain the explicit OPE coefficient $c_{d-2,0}$. Finally, we analyse the asymptotic properties of scalar hairy AdS black holes and show how $c_{d,0}$ can be nonzero with exchanging scalar operators in these backgrounds.

[ { "created": "Wed, 22 May 2019 18:01:21 GMT", "version": "v1" }, { "created": "Sun, 21 Jul 2019 06:54:32 GMT", "version": "v2" } ]

2019-10-02

[ [ "Li", "Yue-Zhou", "" ], [ "Mai", "Zhan-Feng", "" ], [ "Lu", "H.", "" ] ]

We study the OPE coefficients $c_{\Delta, J}$ for heavy-light scalar four-point functions, which can be obtained holographically from the two-point function of a light scalar of some non-integer conformal dimension $\Delta_L$ in an AdS black hole. We verify that the OPE coefficient $c_{d,0}=0$ for pure gravity black holes, consistent with the tracelessness of the holographic energy-momentum tensor. We then study the OPE coefficients from black holes involving matter fields. We first consider general charged AdS black holes and we give some explicit low-lying examples of the OPE coefficients. We also obtain the recursion formula for the lowest-twist OPE coefficients with at most two current operators. For integer $\Delta_L$, although the OPE coefficients are not fully determined, we set up a framework to read off the coefficients $\gamma_{\Delta,J}$ of the $\log(z\bar{z})$ terms that are associated with the anomalous dimensions of the exchange operators and obtain a general formula for $\gamma_{\Delta,J}$. We then consider charged AdS black holes in gauged supergravity STU models in $D=5$ and $D=7$, and their higher-dimensional generalizations. The scalar fields in the STU models are conformally massless, dual to light operators with $\Delta_L=d-2$. We derive the linear perturbation of such a scalar in the STU charged AdS black holes and obtain the explicit OPE coefficient $c_{d-2,0}$. Finally, we analyse the asymptotic properties of scalar hairy AdS black holes and show how $c_{d,0}$ can be nonzero with exchanging scalar operators in these backgrounds.

7.647551

8.485344

8.455476

7.683002

8.031848

7.866044

8.252904

7.712235

7.621329

9.426567

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7.782497

7.9661

7.599891

7.55762

7.534126

7.853326

7.512994

7.500124

8.046955

7.551612

0903.4185

Yang Zhou

Shi Pu, Sang-Jin Sin, Yang Zhou

A Holographic model for Non-Relativistic Superconductor

12 pages, 5 figures, non-relativistic parameter dependence of critical temperature was added

null

hep-th cond-mat.supr-con hep-ph

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

We build a holographic description of non-relativistic system for superconductivity in strongly interacting condensed matter via gauge/gravity duality. We focus on the phase transition and give an example to show that a simple gravitational theory can provide a non-relativistic holographical dual description of a superconductor. There is also a critical temperature like the relativistic case, below which a charged condensation field appears by a second order phase transition and the (DC) conductivity becomes infinite. We also calculated the frequency dependent conductivity.

[ { "created": "Wed, 25 Mar 2009 18:38:23 GMT", "version": "v1" }, { "created": "Mon, 27 Apr 2009 20:08:27 GMT", "version": "v2" }, { "created": "Tue, 3 Nov 2009 09:15:01 GMT", "version": "v3" } ]

2009-11-03

[ [ "Pu", "Shi", "" ], [ "Sin", "Sang-Jin", "" ], [ "Zhou", "Yang", "" ] ]

We build a holographic description of non-relativistic system for superconductivity in strongly interacting condensed matter via gauge/gravity duality. We focus on the phase transition and give an example to show that a simple gravitational theory can provide a non-relativistic holographical dual description of a superconductor. There is also a critical temperature like the relativistic case, below which a charged condensation field appears by a second order phase transition and the (DC) conductivity becomes infinite. We also calculated the frequency dependent conductivity.

10.582692

9.742942

10.904881

8.880496

9.033933

9.281526

8.656211

8.932569

8.730266

11.216593

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9.49651

10.270631

9.512032

9.475913

9.675261

9.651144

9.427889

9.474609

10.38045

9.655453

1111.6634

Joshua Cooperman

Christian Anderson, Steven Carlip, Joshua H. Cooperman, Petr Horava, Rajesh Kommu, Patrick R. Zulkowski

Quantizing Horava-Lifshitz Gravity via Causal Dynamical Triangulations

24 pages; 10 figures

null

10.1103/PhysRevD.85.044027

null

hep-th gr-qc

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

We extend the discrete Regge action of causal dynamical triangulations to include discrete versions of the curvature squared terms appearing in the continuum action of (2+1)-dimensional projectable Horava-Lifshitz gravity. Focusing on an ensemble of spacetimes whose spacelike hypersurfaces are 2-spheres, we employ Markov chain Monte Carlo simulations to study the path integral defined by this extended discrete action. We demonstrate the existence of known and novel macroscopic phases of spacetime geometry, and we present preliminary evidence for the consistency of these phases with solutions to the equations of motion of classical Horava-Lifshitz gravity. Apparently, the phase diagram contains a phase transition between a time-dependent de Sitter-like phase and a time-independent phase. We speculate that this phase transition may be understood in terms of deconfinement of the global gravitational Hamiltonian integrated over a spatial 2-sphere.

[ { "created": "Mon, 28 Nov 2011 22:05:45 GMT", "version": "v1" } ]

2013-05-30

[ [ "Anderson", "Christian", "" ], [ "Carlip", "Steven", "" ], [ "Cooperman", "Joshua H.", "" ], [ "Horava", "Petr", "" ], [ "Kommu", "Rajesh", "" ], [ "Zulkowski", "Patrick R.", "" ] ]

We extend the discrete Regge action of causal dynamical triangulations to include discrete versions of the curvature squared terms appearing in the continuum action of (2+1)-dimensional projectable Horava-Lifshitz gravity. Focusing on an ensemble of spacetimes whose spacelike hypersurfaces are 2-spheres, we employ Markov chain Monte Carlo simulations to study the path integral defined by this extended discrete action. We demonstrate the existence of known and novel macroscopic phases of spacetime geometry, and we present preliminary evidence for the consistency of these phases with solutions to the equations of motion of classical Horava-Lifshitz gravity. Apparently, the phase diagram contains a phase transition between a time-dependent de Sitter-like phase and a time-independent phase. We speculate that this phase transition may be understood in terms of deconfinement of the global gravitational Hamiltonian integrated over a spatial 2-sphere.

7.485086

7.53573

7.06014

6.83225

7.268118

7.520525

7.398202

6.555826

7.368252

8.078732

7.08702

6.841831

6.974039

7.117636

7.195724

7.171358

7.106097

6.787939

7.177876

7.593774

7.017275

hep-th/9603038

Hiroshi Shirokura

Hiroshi Shirokura (Osaka University)

Exact Solution of 1-matrix Model

10 pages, uses LaTeX, based on a contribution paper for the proceedings of the workshop "Frontiers in Quantum Field Theory", held at Osaka, December, 1995

null

OU-HET 240

hep-th

null

I review my new method for solving general 1-matrix models by expanding in $N^{-1}$ without taking a physical continuum limit. Using my method, each coefficient of the free energy in the genus expansion is exactly computable. One can include physical information in a function which is uniquely specified by the action of the model. My method gives completely the same result with the usual one if the physical fine tuning is done and the leading singular terms are extracted. I also calculate in the genus three case and confirm the validity of my method.

[ { "created": "Thu, 7 Mar 1996 06:46:35 GMT", "version": "v1" } ]

2007-05-23

[ [ "Shirokura", "Hiroshi", "", "Osaka University" ] ]

I review my new method for solving general 1-matrix models by expanding in $N^{-1}$ without taking a physical continuum limit. Using my method, each coefficient of the free energy in the genus expansion is exactly computable. One can include physical information in a function which is uniquely specified by the action of the model. My method gives completely the same result with the usual one if the physical fine tuning is done and the leading singular terms are extracted. I also calculate in the genus three case and confirm the validity of my method.

22.070541

21.135536

20.605471

19.9298

20.603003

20.983891

19.145302

20.250393

19.038765

23.940195

18.974585

17.978119

19.258059

18.440144

18.187889

18.382877

17.330589

18.496445

18.313274

18.341305

18.685219

0902.2566

Todd Springer

T. Springer

Second order hydrodynamics for a special class of gravity duals

20 pages

Phys.Rev.D79:086003,2009

10.1103/PhysRevD.79.086003

null

hep-th

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

The sound mode hydrodynamic dispersion relation is computed up to order $q^3$ for a class of gravitational duals which includes both Schwarzschild $AdS$ and Dp-Brane metrics. The implications for second order transport coefficients are examined within the context of Israel-Stewart theory. These sound mode results are compared with previously known results for the shear mode. This comparison allows one to determine the third order hydrodynamic contributions to the shear mode for the class of metrics considered here.

[ { "created": "Sun, 15 Feb 2009 20:13:28 GMT", "version": "v1" }, { "created": "Wed, 8 Apr 2009 14:14:56 GMT", "version": "v2" } ]

2009-04-08

[ [ "Springer", "T.", "" ] ]

The sound mode hydrodynamic dispersion relation is computed up to order $q^3$ for a class of gravitational duals which includes both Schwarzschild $AdS$ and Dp-Brane metrics. The implications for second order transport coefficients are examined within the context of Israel-Stewart theory. These sound mode results are compared with previously known results for the shear mode. This comparison allows one to determine the third order hydrodynamic contributions to the shear mode for the class of metrics considered here.

14.09411

9.580656

10.658413

9.332316

10.318962

10.177154

9.885193

9.433397

9.330197

11.476962

9.712548

9.932457

10.717045

9.739732

10.510879

10.574117

10.328092

10.377989

10.247707

10.469077

10.514282

1602.03890

Oscar J. C. Dias

Oscar J.C. Dias and Jorge E. Santos

AdS nonlinear instability: moving beyond spherical symmetry

7 pages, no figures, 2 tables

null

10.1088/0264-9381/33/23/23LT01

null

hep-th gr-qc

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

Anti-de Sitter (AdS) is conjectured to be nonlinear unstable to a weakly turbulent mechanism that develops a cascade towards high frequencies, leading to black hole formation [1,2]. We give evidence that the gravitational sector of perturbations behaves differently from the scalar one studied in [2]. In contrast with [2], we find that not all gravitational normal modes of AdS can be nonlinearly extended into periodic horizonless smooth solutions of the Einstein equation. In particular, we show that even seeds with a single normal mode can develop secular resonances, unlike the spherically symmetric scalar field collapse studied in [2]. Moreover, if the seed has two normal modes, more than one resonance can be generated at third order, unlike the spherical collapse of [2]. We also show that weak turbulent perturbative theory predicts the existence of direct and inverse cascades, with the former dominating the latter for equal energy two-mode seeds.

[ { "created": "Thu, 11 Feb 2016 21:00:08 GMT", "version": "v1" } ]

2016-11-15

[ [ "Dias", "Oscar J. C.", "" ], [ "Santos", "Jorge E.", "" ] ]

Anti-de Sitter (AdS) is conjectured to be nonlinear unstable to a weakly turbulent mechanism that develops a cascade towards high frequencies, leading to black hole formation [1,2]. We give evidence that the gravitational sector of perturbations behaves differently from the scalar one studied in [2]. In contrast with [2], we find that not all gravitational normal modes of AdS can be nonlinearly extended into periodic horizonless smooth solutions of the Einstein equation. In particular, we show that even seeds with a single normal mode can develop secular resonances, unlike the spherically symmetric scalar field collapse studied in [2]. Moreover, if the seed has two normal modes, more than one resonance can be generated at third order, unlike the spherical collapse of [2]. We also show that weak turbulent perturbative theory predicts the existence of direct and inverse cascades, with the former dominating the latter for equal energy two-mode seeds.

11.974195

12.749256

12.833858

12.04065

12.157108

12.187246

13.48557

12.18589

11.811214

12.975717

11.3614

11.77479

11.968267

11.714069

11.600923

11.427476

12.310009

11.475723

11.851968

12.1946

11.853754

0804.0755

Marco Billo'

M. Bill\'o

(D)-instanton effects in magnetized brane worlds

8 pages, 1 figure. To appear in the proceedings of the RTN workshop "ForcesUniverse", Valencia, October 1-5 2007. Uses a provided Latex class

null

10.1002/prop.200810541

null

hep-th

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

We consider systems of magnetized D9 branes on orbifolds supporting N=1 gauge theories. In such realizations, the matter multiplets arise from "twisted" strings connecting different stacks of branes. The introduction of Euclidean 5-branes wrapped on the six-dimensional compact space leads to instanton effects. We examine the interplay between the annuli diagrams with an E5 boundary and the holomorphicity properties of the effective low-energy supergravity action which describes the system, including its instanton corrections. Mostly based on arXiv:0709.0245.

[ { "created": "Fri, 4 Apr 2008 15:03:25 GMT", "version": "v1" } ]

2015-05-13

[ [ "Billó", "M.", "" ] ]

We consider systems of magnetized D9 branes on orbifolds supporting N=1 gauge theories. In such realizations, the matter multiplets arise from "twisted" strings connecting different stacks of branes. The introduction of Euclidean 5-branes wrapped on the six-dimensional compact space leads to instanton effects. We examine the interplay between the annuli diagrams with an E5 boundary and the holomorphicity properties of the effective low-energy supergravity action which describes the system, including its instanton corrections. Mostly based on arXiv:0709.0245.

14.875167

11.048752

17.074322

11.201208

12.835251

10.150963

9.047462

11.937078

11.698838

16.845371

11.490538

11.999643

14.839246

13.190369

13.278448

12.386824

12.429211

12.762506

12.271005

15.067619

12.902809

1307.6848

James Sparks

Luis F. Alday, Dario Martelli, Paul Richmond and James Sparks

Localization on Three-Manifolds

34 pages; v2: discussion of vortex factorization added; v3: minor corrections

JHEP 1310 (2013) 095

10.1007/JHEP10(2013)095

null

hep-th

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

We consider supersymmetric gauge theories on Riemannian three-manifolds with the topology of a three-sphere. The three-manifold is always equipped with an almost contact structure and an associated Reeb vector field. We show that the partition function depends only on this vector field, giving an explicit expression in terms of the double sine function. In the large N limit our formula agrees with a recently discovered two-parameter family of dual supergravity solutions. We also explain how our results may be applied to prove vortex-antivortex factorization. Finally, we comment on the extension of our results to three-manifolds with non-trivial fundamental group.

[ { "created": "Thu, 25 Jul 2013 19:32:08 GMT", "version": "v1" }, { "created": "Wed, 31 Jul 2013 16:57:06 GMT", "version": "v2" }, { "created": "Thu, 19 Sep 2013 11:13:53 GMT", "version": "v3" } ]

2015-06-16

[ [ "Alday", "Luis F.", "" ], [ "Martelli", "Dario", "" ], [ "Richmond", "Paul", "" ], [ "Sparks", "James", "" ] ]

We consider supersymmetric gauge theories on Riemannian three-manifolds with the topology of a three-sphere. The three-manifold is always equipped with an almost contact structure and an associated Reeb vector field. We show that the partition function depends only on this vector field, giving an explicit expression in terms of the double sine function. In the large N limit our formula agrees with a recently discovered two-parameter family of dual supergravity solutions. We also explain how our results may be applied to prove vortex-antivortex factorization. Finally, we comment on the extension of our results to three-manifolds with non-trivial fundamental group.

6.672242

6.167278

8.105098

6.125529

6.925023

7.367505

6.320866

6.590643

6.531377

9.11417

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6.36565

7.456353

6.481438

6.529838

6.621492

6.507644

6.480781

6.501225

7.377477

6.255473

0903.2951

Sudipto Paul Chowdhury

Sudipto Paul Chowdhury, Subir Mukhopadhyay, Koushik Ray

BLG theory with generalized Jordan triple systems

11 pages

null

hep-th

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

We use a generalized Jordan algebra of the second kind to study the recently proposed BLG theory of multiple M2-branes. We find the restriction imposed on the ternary product from its consistency with the BLG theory.

[ { "created": "Tue, 17 Mar 2009 12:02:42 GMT", "version": "v1" }, { "created": "Tue, 19 May 2009 14:56:57 GMT", "version": "v2" } ]

2009-05-19

[ [ "Chowdhury", "Sudipto Paul", "" ], [ "Mukhopadhyay", "Subir", "" ], [ "Ray", "Koushik", "" ] ]

We use a generalized Jordan algebra of the second kind to study the recently proposed BLG theory of multiple M2-branes. We find the restriction imposed on the ternary product from its consistency with the BLG theory.

19.45421

15.373868

16.406307

11.7877

14.371444

12.83326

12.4132

13.067568

13.363695

20.449106

13.585203

13.73438

16.79966

13.899169

13.345941

13.272922

13.147557

13.412996

13.504047

17.275049

13.738853

hep-th/9707100

Rabin Banerjee

R. Banerjee and E.C. Marino

Different Approaches for Bosonization in Higher Dimensions

LateX 22 pages

Nucl.Phys. B507 (1997) 501-518

10.1016/S0550-3213(97)00549-X

null

hep-th

null

We describe two distinct approaches for bosonization in higher dimensions; one is based on a direct comparison of current correlation functions while the other relies on a Master lagrangean formalism. These are used to bosonise the Massive Thirring Model in three and four dimensions in the weak coupling regime but with an arbitrary fermion mass. In both approaches the explicit bosonised lagrangean and current are derived in terms of gauge fields. The complete equivalence of the two bosonization methods is established. Exact results for the free massive fermion theory are also obtained. Finally, the two-dimensional theory is revisited and the possibility of extending this analysis for arbitrary dimensions is indicated.

[ { "created": "Thu, 10 Jul 1997 19:45:46 GMT", "version": "v1" } ]

2009-10-30

[ [ "Banerjee", "R.", "" ], [ "Marino", "E. C.", "" ] ]

We describe two distinct approaches for bosonization in higher dimensions; one is based on a direct comparison of current correlation functions while the other relies on a Master lagrangean formalism. These are used to bosonise the Massive Thirring Model in three and four dimensions in the weak coupling regime but with an arbitrary fermion mass. In both approaches the explicit bosonised lagrangean and current are derived in terms of gauge fields. The complete equivalence of the two bosonization methods is established. Exact results for the free massive fermion theory are also obtained. Finally, the two-dimensional theory is revisited and the possibility of extending this analysis for arbitrary dimensions is indicated.

11.620349

9.215051

10.998372

10.328126

9.713023

9.957561

9.703717

9.329338

9.371561

11.702231

9.797334

10.718469

11.351733

10.752651

10.383642

10.75969

10.561468

10.734598

10.483666

11.259519

11.000245

2405.02224

Marco Serone

Lectures on Resurgence in Integrable Field Theories

45 pages, 7 figures

null

hep-th hep-lat hep-ph

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

There has been recently considerable progress in understanding the nature of perturbation theory in UV free and gapped $2d$ integrable field theories with renormalon singularities. Thanks to Bethe ansatz and large $N$ techniques, non-perturbative corrections can also be computed and lead to the reconstruction of the trans-series for the free energy in presence of a chemical potential. This is an ideal arena to test resurgence in QFT and determine if and how the exact result can be reconstructed from the knowledge of the perturbative series only. In these notes we give a pedagogical introduction to this subject starting from the basics. In the first lecture we give an overview of applications in QFT of Borel resummations before the advent of resurgence. The second lecture introduces the key concepts of resurgence and finally in the third lecture we discuss a specific application in the context of the principal chiral field model. Extended version of three lectures given at IHES and review talks given at Les Diablerets and Mainz, in 2023.

[ { "created": "Fri, 3 May 2024 16:31:25 GMT", "version": "v1" } ]

2024-05-06

[ [ "Serone", "Marco", "" ] ]

There has been recently considerable progress in understanding the nature of perturbation theory in UV free and gapped $2d$ integrable field theories with renormalon singularities. Thanks to Bethe ansatz and large $N$ techniques, non-perturbative corrections can also be computed and lead to the reconstruction of the trans-series for the free energy in presence of a chemical potential. This is an ideal arena to test resurgence in QFT and determine if and how the exact result can be reconstructed from the knowledge of the perturbative series only. In these notes we give a pedagogical introduction to this subject starting from the basics. In the first lecture we give an overview of applications in QFT of Borel resummations before the advent of resurgence. The second lecture introduces the key concepts of resurgence and finally in the third lecture we discuss a specific application in the context of the principal chiral field model. Extended version of three lectures given at IHES and review talks given at Les Diablerets and Mainz, in 2023.

10.09885

9.944361

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10.620738

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10.203153

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9.361822

9.606321

9.892281

10.078643

9.497087

9.715969

9.331914

9.748574

9.252185

1411.2460

Yu. A. Sitenko

The Casimir effect with quantized charged spinor matter in background magnetic field

33 pages, 1 figure, formulas (98) and (102) corrected. arXiv admin note: text overlap with arXiv:1401.6950

Phys. Rev. D 91, 085012 (2015)

10.1103/PhysRevD.91.085012

null

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

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

We study the influence of a background uniform magnetic field and boundary conditions on the vacuum of a quantized charged spinor matter field confined between two parallel neutral plates; the magnetic field is directed orthogonally to the plates. The admissible set of boundary conditions at the plates is determined by the requirement that the Dirac Hamiltonian operator be self-adjoint. It is shown that, in the case of a sufficiently strong magnetic field and a sufficiently large separation of the plates, the generalized Casimir force is repulsive, being independent of the choice of a boundary condition, as well as of the distance between the plates. The detection of this effect seems to be feasible in the foreseeable future.

[ { "created": "Mon, 10 Nov 2014 15:31:00 GMT", "version": "v1" }, { "created": "Tue, 24 Feb 2015 14:43:37 GMT", "version": "v2" }, { "created": "Wed, 15 Apr 2015 09:42:23 GMT", "version": "v3" }, { "created": "Tue, 5 May 2015 18:53:17 GMT", "version": "v4" } ]

2015-05-06

[ [ "Sitenko", "Yu. A.", "" ] ]

We study the influence of a background uniform magnetic field and boundary conditions on the vacuum of a quantized charged spinor matter field confined between two parallel neutral plates; the magnetic field is directed orthogonally to the plates. The admissible set of boundary conditions at the plates is determined by the requirement that the Dirac Hamiltonian operator be self-adjoint. It is shown that, in the case of a sufficiently strong magnetic field and a sufficiently large separation of the plates, the generalized Casimir force is repulsive, being independent of the choice of a boundary condition, as well as of the distance between the plates. The detection of this effect seems to be feasible in the foreseeable future.

6.356575

4.796698

6.278776

5.081139

5.122396

4.727156

4.843631

4.939458

4.953107

6.330178

5.398803

5.608088

6.203282

5.800738

5.624611

5.607607

5.513954

5.554399

5.659657

5.867237

5.580605

hep-th/0502142

Ulrich Harbach

Ulrich Harbach, Sabine Hossenfelder

The Casimir Effect in the Presence of a Minimal Length

references and comment on the figure in section III added

Phys.Lett. B632 (2006) 379-383

10.1016/j.physletb.2005.10.045

null

hep-th gr-qc

null

Large extra dimensions lower the Planck scale to values soon accessible. Not only is the Planck scale the energy scale at which effects of modified gravity become important. The Planck length also acts as a minimal length in nature, providing a natural ultraviolet cutoff and a limit to the possible resolution of spacetime. In this paper we examine the influence of the minimal length on the Casimir energy between two plates.

[ { "created": "Tue, 15 Feb 2005 22:28:50 GMT", "version": "v1" }, { "created": "Tue, 15 Mar 2005 18:47:52 GMT", "version": "v2" } ]

2009-11-11

[ [ "Harbach", "Ulrich", "" ], [ "Hossenfelder", "Sabine", "" ] ]

Large extra dimensions lower the Planck scale to values soon accessible. Not only is the Planck scale the energy scale at which effects of modified gravity become important. The Planck length also acts as a minimal length in nature, providing a natural ultraviolet cutoff and a limit to the possible resolution of spacetime. In this paper we examine the influence of the minimal length on the Casimir energy between two plates.

9.846933

8.308833

7.122461

6.694507

7.453436

7.947432

7.22612

7.603262

6.609441

7.516256

8.775899

8.829608

8.594293

8.179713

8.716798

8.997107

8.457117

8.778627

8.325638

8.51241

9.156218

1812.00545

Chanyong Park

Holographic Entanglement Entropy in Cutoff AdS

20 pages, 1 figure

null

10.1142/S0217751X18502263

null

hep-th

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

We investigate the holographic entanglement entropy of deformed conformal field theories which are dual to a cutoff AdS space. The holographic entanglement entropy evaluated on a three-dimensional Poincare AdS space with a finite cutoff can be reinterpreted as that of the dual field theory deformed by either a boost or $T \bar{T}$ deformation. For the boost case, we show that, although it trivially acts on the underlying theory, it nontrivially affects the entanglement entropy due to the length contraction. For a three-dimensional AdS, we show that the effect of the boost transformation can be reinterpreted as the rescaling of the energy scale, similar to the $T \bar{T}$ deformation. Under the boost and $T \bar{T}$ deformation, the $c$-function of the entanglement entropy exactly shows the features expected by the Zamoldchikov's $c$-theorem. The deformed theory is always stationary at a UV fixed point and monotonically flows to another CFT in the IR fixed point. We also show that the holographic entanglement entropy in a Poincare cutoff AdS space can reproduce the exact same result of the $T \bar{T}$ deformed theory on a two-dimensional sphere.

[ { "created": "Mon, 3 Dec 2018 04:07:36 GMT", "version": "v1" } ]

2019-01-30

[ [ "Park", "Chanyong", "" ] ]

We investigate the holographic entanglement entropy of deformed conformal field theories which are dual to a cutoff AdS space. The holographic entanglement entropy evaluated on a three-dimensional Poincare AdS space with a finite cutoff can be reinterpreted as that of the dual field theory deformed by either a boost or $T \bar{T}$ deformation. For the boost case, we show that, although it trivially acts on the underlying theory, it nontrivially affects the entanglement entropy due to the length contraction. For a three-dimensional AdS, we show that the effect of the boost transformation can be reinterpreted as the rescaling of the energy scale, similar to the $T \bar{T}$ deformation. Under the boost and $T \bar{T}$ deformation, the $c$-function of the entanglement entropy exactly shows the features expected by the Zamoldchikov's $c$-theorem. The deformed theory is always stationary at a UV fixed point and monotonically flows to another CFT in the IR fixed point. We also show that the holographic entanglement entropy in a Poincare cutoff AdS space can reproduce the exact same result of the $T \bar{T}$ deformed theory on a two-dimensional sphere.

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