LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1311.2312

Eva Silverstein

Les Houches lectures on inflationary observables and string theory

40 pages, 1 figure

null

SU-ITP-13/22

hep-th astro-ph.CO

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

These lectures cover the theoretical structure and phenomenology of some basic mechanisms for inflation. A full treatment of the problem requires `ultraviolet completion' because of the sensitivity of inflation to quantum gravity effects, while the observables are elegantly parameterized using low energy field theory. String theory provides novel mechanisms for inflation, some subject to significant observational tests, with highly UV-sensitive tensor mode measurements being a prime example. Although the ultraviolet completion is not directly accessible experimentally, some of these mechanisms have helped stimulate a more systematic analysis of the space of low energy theories and signatures relevant for data analysis, including searches for non-Gaussianity and additional structure in the power spectrum. We include a pedagogical overview of string compactifications, with a focus on candidate inflatons and their symmetry structure. In the last lecture we attack the problem of thought-experimental observables in inflation, developing a generalization of gauge-gravity duality that relies on the structure of the scalar potential in string theory.

[ { "created": "Sun, 10 Nov 2013 22:33:24 GMT", "version": "v1" } ]

2013-11-12

[ [ "Silverstein", "Eva", "" ] ]

These lectures cover the theoretical structure and phenomenology of some basic mechanisms for inflation. A full treatment of the problem requires `ultraviolet completion' because of the sensitivity of inflation to quantum gravity effects, while the observables are elegantly parameterized using low energy field theory. String theory provides novel mechanisms for inflation, some subject to significant observational tests, with highly UV-sensitive tensor mode measurements being a prime example. Although the ultraviolet completion is not directly accessible experimentally, some of these mechanisms have helped stimulate a more systematic analysis of the space of low energy theories and signatures relevant for data analysis, including searches for non-Gaussianity and additional structure in the power spectrum. We include a pedagogical overview of string compactifications, with a focus on candidate inflatons and their symmetry structure. In the last lecture we attack the problem of thought-experimental observables in inflation, developing a generalization of gauge-gravity duality that relies on the structure of the scalar potential in string theory.

17.937941

17.298954

18.971653

17.305305

19.231932

19.754269

19.473568

17.771738

16.75145

21.039715

17.627836

16.211683

16.814976

16.507072

15.942509

16.783047

16.279757

15.864318

16.891344

16.625044

16.548412

2205.09765

Julien Barrat

Julien Barrat, Aleix Gimenez-Grau, Pedro Liendo

A dispersion relation for defect CFT

30 pages, 1 figure

null

10.1007/JHEP02(2023)255

HU-EP-22/18-RTG

hep-th

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

We present a dispersion relation for defect CFT that reconstructs two-point functions in the presence of a defect as an integral of a single discontinuity. The main virtue of this formula is that it streamlines explicit bootstrap calculations, bypassing the resummation of conformal blocks. As applications we reproduce known results for monodromy defects in the epsilon-expansion, and present new results for the supersymmetric Wilson line at strong coupling in $\mathcal{N}=4$ SYM. In particular, we derive a new analytic formula for the highest $R$-symmetry channel of single-trace operators of arbitrary length.

[ { "created": "Thu, 19 May 2022 18:00:01 GMT", "version": "v1" } ]

2023-03-22

[ [ "Barrat", "Julien", "" ], [ "Gimenez-Grau", "Aleix", "" ], [ "Liendo", "Pedro", "" ] ]

We present a dispersion relation for defect CFT that reconstructs two-point functions in the presence of a defect as an integral of a single discontinuity. The main virtue of this formula is that it streamlines explicit bootstrap calculations, bypassing the resummation of conformal blocks. As applications we reproduce known results for monodromy defects in the epsilon-expansion, and present new results for the supersymmetric Wilson line at strong coupling in $\mathcal{N}=4$ SYM. In particular, we derive a new analytic formula for the highest $R$-symmetry channel of single-trace operators of arbitrary length.

9.563593

8.386863

9.170587

7.863194

8.084191

8.608705

8.117728

8.27315

8.190134

10.795789

8.278024

8.325252

8.994328

8.304485

8.289742

8.476728

8.527248

8.312904

8.558649

9.260087

8.75793

1112.4162

Agustin Sabio Vera

G. Chachamis and A. Sabio Vera

The colour octet representation of the non-forward BFKL Green function

12 pages, 7 figures

null

10.1016/j.physletb.2012.02.036

null

hep-th

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

We factorize the infrared divergences of the non-forward BFKL Green function for a general t-channel projection of the color quantum numbers and study the properties of the infrared finite remainder in the case of color octet exchange. The octet Green function is compared with the singlet case for different values of the momentum transfer. The octet Green function plays an important role in the calculation of the finite remainder of the two-loop six-point MHV planar amplitude in N = 4 SYM as it was demonstrated by Bartels, Lipatov and one of us in http://arXiv.org/abs/arXiv:0802.2065 and http://arXiv.org/abs/arXiv:0807.0894. A comparison with regularizations preserving conformal invariance at large momentum transfer is shown.

[ { "created": "Sun, 18 Dec 2011 14:35:37 GMT", "version": "v1" } ]

2015-06-03

[ [ "Chachamis", "G.", "" ], [ "Vera", "A. Sabio", "" ] ]

We factorize the infrared divergences of the non-forward BFKL Green function for a general t-channel projection of the color quantum numbers and study the properties of the infrared finite remainder in the case of color octet exchange. The octet Green function is compared with the singlet case for different values of the momentum transfer. The octet Green function plays an important role in the calculation of the finite remainder of the two-loop six-point MHV planar amplitude in N = 4 SYM as it was demonstrated by Bartels, Lipatov and one of us in http://arXiv.org/abs/arXiv:0802.2065 and http://arXiv.org/abs/arXiv:0807.0894. A comparison with regularizations preserving conformal invariance at large momentum transfer is shown.

6.942883

8.389995

8.68584

7.563285

8.938148

7.984004

7.981964

7.87513

7.279101

8.077337

7.702917

7.454196

7.117977

6.753241

6.972301

7.012147

7.10876

7.047918

6.893874

6.940783

6.943465

hep-th/9806057

Stefano De Leo

Stefano De Leo (Dip. di Fisica, INFN, Lecce, Italia), Waldyr A. Rodrigues, Jr. (UNICAMP/IMECC, Campinas, Brasil)

Quaternionic Electron Theory: Dirac's Equation

14 pags, Revtex, Int. J. Theor. Phys. (published, May 98)

Int.J.Theor.Phys. 37 (1998) 1511-1530

null

hep-th

null

We perform a one-dimensional complexified quaternionic version of the Dirac equation based on $i$-complex geometry. The problem of the missing complex parameters in Quaternionic Quantum Mechanics with $i$-complex geometry is overcome by a nice ``trick'' which allows to avoid the Dirac algebra constraints in formulating our relativistic equation. A brief comparison with other quaternionic formulations is also presented.

[ { "created": "Sat, 6 Jun 1998 23:07:20 GMT", "version": "v1" } ]

2012-08-27

[ [ "De Leo", "Stefano", "", "Dip. di Fisica, INFN, Lecce, Italia" ], [ "Rodrigues,", "Waldyr A.", "Jr.", "UNICAMP/IMECC, Campinas, Brasil" ] ]

We perform a one-dimensional complexified quaternionic version of the Dirac equation based on $i$-complex geometry. The problem of the missing complex parameters in Quaternionic Quantum Mechanics with $i$-complex geometry is overcome by a nice ``trick'' which allows to avoid the Dirac algebra constraints in formulating our relativistic equation. A brief comparison with other quaternionic formulations is also presented.

18.30382

16.670475

17.966452

15.406278

18.030424

16.951401

16.991831

16.549749

16.844749

19.755856

17.109497

17.197872

16.575108

16.636848

17.24264

17.549225

17.313263

17.003231

16.950317

15.838256

17.027512

1606.08081

Vadim Kaplunovsky

Jacob Claussen and Vadim Kaplunovsky

Deconstructing the E_0 SCFT to Solve the Orbifold Paradox of the Heterotic M Theory

30 pages, several colored figures; version v2 fixes acknowledgements

null

UTTG-11-16

hep-th

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

Many heterotic orbifold models have massless twisted-sector particles with simultaneous E8_1 and E8_2 charges. In the strong-coupling M-theory dual of the heterotic string this poses a paradox: Since the E8_1 and E8_2 live at opposite ends of the x^10 dimension, where could a massless particle with both types of charges possible live? To key to this question are the 5D SCFTs living at the orbifold fixed planes going through the bulk of the M theory. We use dimensional deconstruction to understand how such a 5D SCFT (specifically, the E_0 SCFT at the Z_3 fixed point) works at the superconformal point (rather that at the Coulomb branch) and how it interacts with the boundaries of the x^10. We find that the massless twisted states are not localized in the x^10. Instead, they are non-local meson-like composite particles comprised of a quark living at one boundary of the x^10, and antiquark living at the other boundary, and the string of strongly-interacting 5D gluons connecting the quark to the antiquark.

[ { "created": "Sun, 26 Jun 2016 20:23:25 GMT", "version": "v1" }, { "created": "Tue, 28 Jun 2016 20:41:23 GMT", "version": "v2" } ]

2016-06-30

[ [ "Claussen", "Jacob", "" ], [ "Kaplunovsky", "Vadim", "" ] ]

Many heterotic orbifold models have massless twisted-sector particles with simultaneous E8_1 and E8_2 charges. In the strong-coupling M-theory dual of the heterotic string this poses a paradox: Since the E8_1 and E8_2 live at opposite ends of the x^10 dimension, where could a massless particle with both types of charges possible live? To key to this question are the 5D SCFTs living at the orbifold fixed planes going through the bulk of the M theory. We use dimensional deconstruction to understand how such a 5D SCFT (specifically, the E_0 SCFT at the Z_3 fixed point) works at the superconformal point (rather that at the Coulomb branch) and how it interacts with the boundaries of the x^10. We find that the massless twisted states are not localized in the x^10. Instead, they are non-local meson-like composite particles comprised of a quark living at one boundary of the x^10, and antiquark living at the other boundary, and the string of strongly-interacting 5D gluons connecting the quark to the antiquark.

9.196285

10.594091

10.365194

9.287266

10.971766

10.53465

9.901463

9.775103

9.361129

10.692162

9.326096

9.39614

9.425021

9.30158

9.561289

9.392136

9.520272

9.420033

9.411967

9.63871

9.095566

hep-th/9805009

Armen Nersessian

A. Nersessian

The Hamiltonian Formalism for the Generalized Rigid Particles

11 pages, LaTeX

Theor.Math.Phys. 117 (1998) 1214-1222; Teor.Mat.Fiz. 117 (1998) 130-139

null

JINR P2-98-108

hep-th

null

The Hamiltonian formulation for the mechanical systems with reparametrization-invariant Lagrangians, depending on the worldline external curvatures is given, which is based on the use of moving frame. A complete sets of constraints are found for the Lagrangians with quadratic dependence on curvatures, for the lagrangians, proportional to an arbitrary curvature, and for the Lagrangians, linear on the first and second curvatures.

[ { "created": "Sat, 2 May 1998 10:10:53 GMT", "version": "v1" } ]

2007-05-23

[ [ "Nersessian", "A.", "" ] ]

The Hamiltonian formulation for the mechanical systems with reparametrization-invariant Lagrangians, depending on the worldline external curvatures is given, which is based on the use of moving frame. A complete sets of constraints are found for the Lagrangians with quadratic dependence on curvatures, for the lagrangians, proportional to an arbitrary curvature, and for the Lagrangians, linear on the first and second curvatures.

9.963379

8.021548

9.621789

8.680805

7.964182

8.338263

7.417617

8.268147

8.36501

9.498747

7.774708

8.610657

8.937114

8.556421

8.52852

8.764446

8.470532

8.770646

8.536978

9.4818

8.617126

hep-th/0104248

Chris Austin

A Brief Summary of the Group-Variation Equations

9 pages, LaTeX2e

null

hep-th hep-lat hep-ph

null

A brief summary is given of the Group-Variation Equations and the island diagram confinement mechanism, with an explanation of the prediction that the cylinder-topology minimal-area spanning surface term in the correlation function of two Wilson loops at large $N_c$, when it exists, must have a pre-exponential factor, which for large area $A$ of the minimal-area cylinder-topology spanning surface, decreases with increasing $A$ at least as fast as $1/\ln(\sigma A)$, where $\sigma$ is the area law parameter. This prediction is expected to be testable in lattice calculations.

[ { "created": "Sun, 29 Apr 2001 20:15:43 GMT", "version": "v1" } ]

2007-05-23

[ [ "Austin", "Chris", "" ] ]

A brief summary is given of the Group-Variation Equations and the island diagram confinement mechanism, with an explanation of the prediction that the cylinder-topology minimal-area spanning surface term in the correlation function of two Wilson loops at large $N_c$, when it exists, must have a pre-exponential factor, which for large area $A$ of the minimal-area cylinder-topology spanning surface, decreases with increasing $A$ at least as fast as $1/\ln(\sigma A)$, where $\sigma$ is the area law parameter. This prediction is expected to be testable in lattice calculations.

16.671021

13.237142

16.435682

13.951512

13.332104

13.317956

12.565372

13.890917

13.932698

16.777506

13.552137

13.925954

15.086351

13.709953

14.946466

13.810448

13.762051

13.608361

14.066196

14.722008

14.390559

2101.12529

Vassilis Papadopoulos

Constantin Bachas and Vassilis Papadopoulos

Phases of Holographic Interfaces

57 pages, 14 figures. Minor changes

null

10.1007/JHEP04(2021)262

null

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

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

We compute the phase diagram of the simplest holographic bottom-up model of conformal interfaces. The model consists of a thin domain wall between three-dimensional Anti-de Sitter (AdS) vacua, anchored on a boundary circle. We distinguish five phases depending on the existence of a black hole, the intersection of its horizon with the wall, and the fate of inertial observers. We show that, like the Hawking-Page phase transition, the capture of the wall by the horizon is also a first order transition and comment on its field-theory interpretation. The static solutions of the domain-wall equations include gravitational avatars of the Faraday cage, black holes with negative specific heat, and an intriguing phenomenon of suspended vacuum bubbles corresponding to an exotic interface/anti-interface fusion. Part of our analysis overlaps with recent work by Simidzija and Van Raamsdonk but the interpretation is different.

[ { "created": "Fri, 29 Jan 2021 11:32:53 GMT", "version": "v1" }, { "created": "Sat, 6 Feb 2021 16:07:10 GMT", "version": "v2" }, { "created": "Thu, 1 Apr 2021 19:09:04 GMT", "version": "v3" } ]

2021-05-12

[ [ "Bachas", "Constantin", "" ], [ "Papadopoulos", "Vassilis", "" ] ]

We compute the phase diagram of the simplest holographic bottom-up model of conformal interfaces. The model consists of a thin domain wall between three-dimensional Anti-de Sitter (AdS) vacua, anchored on a boundary circle. We distinguish five phases depending on the existence of a black hole, the intersection of its horizon with the wall, and the fate of inertial observers. We show that, like the Hawking-Page phase transition, the capture of the wall by the horizon is also a first order transition and comment on its field-theory interpretation. The static solutions of the domain-wall equations include gravitational avatars of the Faraday cage, black holes with negative specific heat, and an intriguing phenomenon of suspended vacuum bubbles corresponding to an exotic interface/anti-interface fusion. Part of our analysis overlaps with recent work by Simidzija and Van Raamsdonk but the interpretation is different.

13.494196

15.263463

15.193705

13.662268

14.590023

14.542996

17.45882

15.349501

13.527672

16.175894

13.360261

13.793981

14.532396

13.673373

13.977726

13.68424

13.530606

13.653708

13.593822

14.603749

12.819638

hep-th/9304053

null

K. Ranganathan, H. Sonoda, and B. Zwiebach

Connections on the State-Space over Conformal Field Theories

54pp. MIT-CTP-2193

Nucl.Phys. B414 (1994) 405-460

10.1016/0550-3213(94)90436-7

null

hep-th

null

Motivated by the problem of background independence of closed string field theory we study geometry on the infinite vector bundle of local fields over the space of conformal field theories (CFT's). With any connection we can associate an excluded domain $D$ for the integral of marginal operators, and an operator one-form $\omega_\mu$. The pair $(D, \omega_\mu)$ determines the covariant derivative of any correlator of local fields. We obtain interesting classes of connections in which $\omega_\mu$'s can be written in terms of CFT data. For these connections we compute their curvatures in terms of four-point correlators, $D$, and $\omega_\mu$. Among these connections three are of particular interest. A flat, metric compatible connection $\HG$, and connections $c$ and $\bar c$ having non-vanishing curvature, with $\bar c$ being metric compatible. The flat connection cannot be used to do parallel transport over a finite distance. Parallel transport with either $c$ or $\bar c$, however, allows us to construct a CFT in the state space of another CFT a finite distance away. The construction is given in the form of perturbation theory manifestly free of divergences.

[ { "created": "Tue, 13 Apr 1993 17:40:08 GMT", "version": "v1" } ]

2009-10-22

[ [ "Ranganathan", "K.", "" ], [ "Sonoda", "H.", "" ], [ "Zwiebach", "B.", "" ] ]

Motivated by the problem of background independence of closed string field theory we study geometry on the infinite vector bundle of local fields over the space of conformal field theories (CFT's). With any connection we can associate an excluded domain $D$ for the integral of marginal operators, and an operator one-form $\omega_\mu$. The pair $(D, \omega_\mu)$ determines the covariant derivative of any correlator of local fields. We obtain interesting classes of connections in which $\omega_\mu$'s can be written in terms of CFT data. For these connections we compute their curvatures in terms of four-point correlators, $D$, and $\omega_\mu$. Among these connections three are of particular interest. A flat, metric compatible connection $\HG$, and connections $c$ and $\bar c$ having non-vanishing curvature, with $\bar c$ being metric compatible. The flat connection cannot be used to do parallel transport over a finite distance. Parallel transport with either $c$ or $\bar c$, however, allows us to construct a CFT in the state space of another CFT a finite distance away. The construction is given in the form of perturbation theory manifestly free of divergences.

9.517701

10.191939

10.700022

9.633409

10.010668

10.09008

10.310798

9.586048

9.637539

10.633112

9.208126

9.158202

9.426785

9.080154

9.076875

9.014537

9.105807

9.126122

9.33972

9.272181

9.284894

hep-th/0202041

Giovanni Feverati

Giovanni Feverati, Paul A. Pearce and Francesco Ravanini

Lattice Approach to Excited TBA Boundary Flows: Tricritical Ising Model

11 pages, 3 figures, LaTeX; v2: some useful notations and one reference added; to appear in PLB

Phys.Lett. B534 (2002) 216-223

10.1016/S0370-2693(02)01648-9

null

hep-th

null

We show how a lattice approach can be used to derive Thermodynamic Bethe Ansatz (TBA) equations describing all excitations for boundary flows. The method is illustrated for a prototypical flow of the tricritical Ising model by considering the continuum scaling limit of the A4 lattice model with integrable boundaries. Fixing the bulk weights to their critical values, the integrable boundary weights admit two boundary fields $\xi$ and $\eta$ which play the role of the perturbing boundary fields $\phi_{1,3}$ and $\phi_{1,2}$ inducing the renormalization group flow between boundary fixed points. The excitations are completely classified in terms of (m,n) systems and quantum numbers but the string content changes by certain mechanisms along the flow. For our prototypical example, we identify these mechanisms and the induced map between the relevant finitized Virasoro characters. We also solve the boundary TBA equations numerically to determine the flows for the leading excitations.

[ { "created": "Thu, 7 Feb 2002 05:54:52 GMT", "version": "v1" }, { "created": "Fri, 22 Mar 2002 00:10:47 GMT", "version": "v2" } ]

2009-11-07

[ [ "Feverati", "Giovanni", "" ], [ "Pearce", "Paul A.", "" ], [ "Ravanini", "Francesco", "" ] ]

We show how a lattice approach can be used to derive Thermodynamic Bethe Ansatz (TBA) equations describing all excitations for boundary flows. The method is illustrated for a prototypical flow of the tricritical Ising model by considering the continuum scaling limit of the A4 lattice model with integrable boundaries. Fixing the bulk weights to their critical values, the integrable boundary weights admit two boundary fields $\xi$ and $\eta$ which play the role of the perturbing boundary fields $\phi_{1,3}$ and $\phi_{1,2}$ inducing the renormalization group flow between boundary fixed points. The excitations are completely classified in terms of (m,n) systems and quantum numbers but the string content changes by certain mechanisms along the flow. For our prototypical example, we identify these mechanisms and the induced map between the relevant finitized Virasoro characters. We also solve the boundary TBA equations numerically to determine the flows for the leading excitations.

11.907014

8.40911

15.146499

9.932063

9.666279

9.149643

8.853466

9.508164

10.225752

16.101133

10.023848

10.963243

13.688482

11.683544

11.066218

11.641106

11.05635

11.259291

11.551477

13.357525

11.747952

0804.0851

Richard Shurtleff

Quantum Fields and Translations

25 pages, 3 figures, Version 2 corrects three typos: (i) p5 line 4 add subscript (\Phi), (ii) Eq 7, delete P factor on left, (iii) Eq 12, delete (p) on left

null

hep-th astro-ph

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

Modifications of a free quantum field calculation using translation-related concepts and general translation representations yield quantum fields for massive particles that as a consequence follow the classical trajectories of electrodynamics and geometrodynamics. The work allows an explanation for the unexpectedly high energy of cosmic rays. The explanation can be tested at the Large Hadron Collider once high energy proton beams are operational.

[ { "created": "Sun, 6 Apr 2008 11:43:55 GMT", "version": "v1" }, { "created": "Sat, 12 Apr 2008 13:41:09 GMT", "version": "v2" } ]

2008-04-17

[ [ "Shurtleff", "Richard", "" ] ]

Modifications of a free quantum field calculation using translation-related concepts and general translation representations yield quantum fields for massive particles that as a consequence follow the classical trajectories of electrodynamics and geometrodynamics. The work allows an explanation for the unexpectedly high energy of cosmic rays. The explanation can be tested at the Large Hadron Collider once high energy proton beams are operational.

40.746426

37.076981

34.009453

32.575485

36.70002

38.575264

36.5196

33.197197

30.966433

36.237949

34.420471

35.795124

34.471561

32.091953

36.959126

35.619053

36.168209

34.956089

33.756989

32.914474

34.599953

hep-th/0602172

Brihaye Yves

Y. Brihaye (Universite de Mons, Belgium), T. Delsate (Universite de Mons, Belgium) and B. Hartmann (International University Bremen, Germany)

Inflating branes inside abelian strings

14 Latex pages, 11 postscript figures; references added, discussion extended; reference added

Phys.Rev.D74:044015,2006

10.1103/PhysRevD.74.044015

null

hep-th

null

We study a 6-dimensional brane world model with an abelian string residing in the two extra dimensions. We study both static as well as inflating branes and find analytic solutions for the case of trivial matter fields in the bulk. Next to singular space-times, we also find solutions which are regular including cigar-like universes as well as solutions with periodic metric functions. These latter solutions arise if in a singular space-time a static brane is replaced by an inflating brane. We determine the pattern of generic solutions for positive, negative and zero bulk cosmological constant.

[ { "created": "Fri, 17 Feb 2006 15:25:23 GMT", "version": "v1" }, { "created": "Thu, 23 Feb 2006 14:50:17 GMT", "version": "v2" }, { "created": "Thu, 9 Mar 2006 16:34:04 GMT", "version": "v3" }, { "created": "Mon, 26 Jun 2006 11:29:41 GMT", "version": "v4" } ]

2008-11-26

[ [ "Brihaye", "Y.", "", "Universite de Mons, Belgium" ], [ "Delsate", "T.", "", "Universite de\n Mons, Belgium" ], [ "Hartmann", "B.", "", "International University Bremen, Germany" ] ]

We study a 6-dimensional brane world model with an abelian string residing in the two extra dimensions. We study both static as well as inflating branes and find analytic solutions for the case of trivial matter fields in the bulk. Next to singular space-times, we also find solutions which are regular including cigar-like universes as well as solutions with periodic metric functions. These latter solutions arise if in a singular space-time a static brane is replaced by an inflating brane. We determine the pattern of generic solutions for positive, negative and zero bulk cosmological constant.

13.172837

12.029717

12.643365

11.507956

12.450312

12.457284

12.496861

11.536491

12.452797

13.323143

12.150818

11.990517

12.208177

11.994934

12.043113

11.715303

12.171352

11.949407

12.267889

12.438608

11.837404

hep-th/0108086

Pat Malone

D.G.C. McKeon (University of Western Ontario), T.N. Sherry (National University of Ireland, Galway)

AdS2 Models in an Embedding Superspace

null

hep-th

null

An embedding superspace, whose Bosonic part is the flat 2 + 1 dimensional embedding space for AdS2, is introduced. Superfields and several supersymmetric models are examined in the embedded AdS2 superspace.

[ { "created": "Mon, 13 Aug 2001 15:05:14 GMT", "version": "v1" }, { "created": "Mon, 4 Nov 2002 17:18:28 GMT", "version": "v2" } ]

2007-05-23

[ [ "McKeon", "D. G. C.", "", "University of Western Ontario" ], [ "Sherry", "T. N.", "", "National\n University of Ireland, Galway" ] ]

An embedding superspace, whose Bosonic part is the flat 2 + 1 dimensional embedding space for AdS2, is introduced. Superfields and several supersymmetric models are examined in the embedded AdS2 superspace.

17.121302

11.650146

14.260702

12.667962

13.880297

14.569617

14.108997

12.261737

13.343472

16.024147

12.862892

12.807357

13.829011

12.621248

12.346457

13.991707

13.403821

12.569966

13.745461

13.058831

13.174396

2208.11501

Nicolas Boulanger

Nicolas Boulanger, Paul P. Cook, Josh A. O'Connor and Peter West

Higher dualisations of linearised gravity and the $A_1^{+++}$ algebra

46 pages, no figures. Published version. One reference added, some content moved to an appendix

null

10.1007/JHEP12(2022)152

null

hep-th

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

The non-linear realisation based on $A_1^{+++}$ is known to describe gravity in terms of both the graviton and the dual graviton. We extend this analysis at the linearised level to find the equations of motion for the first higher dual description of gravity that it contains. We also give a systematic method for finding the additional fields beyond those in the non-linear realisation that are required to construct actions for all of the possible dual descriptions of gravity in the non-linear realisation. We show that these additional fields are closely correlated with the second fundamental representation of $A_1^{+++}\,$.

[ { "created": "Wed, 24 Aug 2022 12:52:28 GMT", "version": "v1" }, { "created": "Mon, 12 Jun 2023 13:49:08 GMT", "version": "v2" } ]

2023-06-13

[ [ "Boulanger", "Nicolas", "" ], [ "Cook", "Paul P.", "" ], [ "O'Connor", "Josh A.", "" ], [ "West", "Peter", "" ] ]

The non-linear realisation based on $A_1^{+++}$ is known to describe gravity in terms of both the graviton and the dual graviton. We extend this analysis at the linearised level to find the equations of motion for the first higher dual description of gravity that it contains. We also give a systematic method for finding the additional fields beyond those in the non-linear realisation that are required to construct actions for all of the possible dual descriptions of gravity in the non-linear realisation. We show that these additional fields are closely correlated with the second fundamental representation of $A_1^{+++}\,$.

11.496196

9.167467

12.061248

9.379776

9.542099

9.080315

9.678953

9.642985

10.326114

12.843562

9.41475

10.232766

11.52727

10.379317

9.998801

10.286374

9.397532

10.008404

10.505467

11.374002

10.116604

1511.02167

Sudarshan Fernando

Sudarshan Fernando, Murat Gunaydin

Massless conformal fields, AdS_{d+1}/CFT_d higher spin algebras and their deformations

41 pages; LaTeX file; Minor improvements in presentation; Typos corrected; References added; Version published in NPB

Nucl.Phys.B 904: 494-526, 2016

10.1016/j.nuclphysb.2016.01.024

null

hep-th

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

We extend our earlier work on the minimal unitary representation of $SO(d,2)$ and its deformations for $d=4,5$ and $6$ to arbitrary dimensions $d$. We show that there is a one-to-one correspondence between the minrep of $SO(d,2)$ and its deformations and massless conformal fields in Minkowskian spacetimes in $d$ dimensions. The minrep describes a massless conformal scalar field, and its deformations describe massless conformal fields of higher spin. The generators of Joseph ideal vanish identically as operators for the quasiconformal realization of the minrep, and its enveloping algebra yields directly the standard bosonic $AdS_{(d+1)}/CFT_d$ higher spin algebra. For deformed minreps the generators of certain deformations of Joseph ideal vanish as operators and their enveloping algebras lead to deformations of the standard bosonic higher spin algebra. In odd dimensions there is a unique deformation of the higher spin algebra corresponding to the spinor singleton. In even dimensions one finds infinitely many deformations of the higher spin algebra labelled by the eigenvalues of Casimir operator of the little group $SO(d-2)$ for massless representations.

[ { "created": "Fri, 6 Nov 2015 17:19:55 GMT", "version": "v1" }, { "created": "Sun, 15 Nov 2015 16:24:58 GMT", "version": "v2" }, { "created": "Mon, 8 Feb 2016 19:24:36 GMT", "version": "v3" } ]

2016-02-17

[ [ "Fernando", "Sudarshan", "" ], [ "Gunaydin", "Murat", "" ] ]

We extend our earlier work on the minimal unitary representation of $SO(d,2)$ and its deformations for $d=4,5$ and $6$ to arbitrary dimensions $d$. We show that there is a one-to-one correspondence between the minrep of $SO(d,2)$ and its deformations and massless conformal fields in Minkowskian spacetimes in $d$ dimensions. The minrep describes a massless conformal scalar field, and its deformations describe massless conformal fields of higher spin. The generators of Joseph ideal vanish identically as operators for the quasiconformal realization of the minrep, and its enveloping algebra yields directly the standard bosonic $AdS_{(d+1)}/CFT_d$ higher spin algebra. For deformed minreps the generators of certain deformations of Joseph ideal vanish as operators and their enveloping algebras lead to deformations of the standard bosonic higher spin algebra. In odd dimensions there is a unique deformation of the higher spin algebra corresponding to the spinor singleton. In even dimensions one finds infinitely many deformations of the higher spin algebra labelled by the eigenvalues of Casimir operator of the little group $SO(d-2)$ for massless representations.

5.464532

5.082484

6.075755

5.143374

5.290046

5.228451

5.095811

4.942143

4.982245

6.339581

5.048496

5.350823

5.409499

5.152279

5.148581

5.195693

5.23287

5.122373

5.111332

5.658494

5.111855

hep-th/9903042

Debashis Ghoshal

Stefan Forste (U.Bonn), Debashis Ghoshal (MRI) and Stefan Theisen (U.Munich)

Stringy Corrections to the Wilson Loop in N=4 Super Yang-Mills Theory

14 pages, harvmac (b)

JHEP 9908 (1999) 013

10.1088/1126-6708/1999/08/013

MRI-PHY/P990204

hep-th

null

We study stringy fluctuations as a source for corrections to the Wilson loop as obtained from the superstrings on (adS_5 x S^5)/ N=4 SYM correspondence. We give a formal expression in terms of determinants of two dimensional operators for the leading order correction.

[ { "created": "Thu, 4 Mar 1999 17:06:45 GMT", "version": "v1" } ]

2009-10-31

[ [ "Forste", "Stefan", "", "U.Bonn" ], [ "Ghoshal", "Debashis", "", "MRI" ], [ "Theisen", "Stefan", "", "U.Munich" ] ]

We study stringy fluctuations as a source for corrections to the Wilson loop as obtained from the superstrings on (adS_5 x S^5)/ N=4 SYM correspondence. We give a formal expression in terms of determinants of two dimensional operators for the leading order correction.

16.269121

15.373816

16.155151

14.936251

16.854872

18.254255

13.201764

15.054865

15.540722

18.571932

14.812757

13.9866

15.118649

15.250303

14.610149

14.488851

14.463234

14.430017

15.029796

15.461499

14.648275

1111.4529

Jaemo Park

Dongmin Gang, Chiung Hwang, Seok Kim and Jaemo Park

Tests of AdS$_4$/CFT$_3$ correspondence for $\mathcal{N}=2$ chiral-like theory

16 pages, 1 figure; typos corrected, references added

null

10.1007/JHEP02(2012)079

SNUTP11-010; KIAS-P12011

hep-th

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

We investigate the superconformal index and the partition function for the chiral-like Chern-Simons-matter theory proposed for M2-branes probing the cones over $M^{3,2}$ and find perfect agreements with the gravity index and the gravitational free energy.

[ { "created": "Sat, 19 Nov 2011 03:16:36 GMT", "version": "v1" }, { "created": "Sun, 29 Jan 2012 23:52:02 GMT", "version": "v2" } ]

2015-06-03

[ [ "Gang", "Dongmin", "" ], [ "Hwang", "Chiung", "" ], [ "Kim", "Seok", "" ], [ "Park", "Jaemo", "" ] ]

We investigate the superconformal index and the partition function for the chiral-like Chern-Simons-matter theory proposed for M2-branes probing the cones over $M^{3,2}$ and find perfect agreements with the gravity index and the gravitational free energy.

15.031573

9.878529

18.641495

10.439884

9.782241

12.063146

11.455614

11.86596

11.007939

19.621519

10.243059

11.878333

17.986326

12.642722

12.298369

12.168288

12.423039

12.22928

11.801979

15.230118

11.844634

0806.4692

M. B. Paranjape

Avinash Khare, M. B. Paranjape

Suppression of quantum tunneling for all spins for easy-axis systems

4 pages, no figures,

null

10.1103/PhysRevB.83.172401

UdeM-GPP-TH-08-168

hep-th cond-mat.other

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

The semi-classical limit of quantum spin systems corresponds to a dynamical Lagrangian which contains the usual kinetic energy, the couplings and interactions of the spins and an additional, first order kinematical term which corresponds to the Wess-Zumino-Novikov-Witten (WZNW) term for the spin degree of freedom \cite{og}. It was shown that in the case of the kinetic dynamics determined only by the WZNW term, half odd integer spin systems show a lack of tunneling phenomena whereas integer spin systems are subject to it \cite{l} in the case of potentials with easy-plane easy-axis symmetry. Here we prove, for the theory with a normal quadratic kinetic term of arbitrary strength or the first order theory with azimuthal symmetry (which is equivalently the so-called easy-axis situation), that the tunneling is in fact suppressed for all non-zero values of spin. This model exemplifies the concept that in the presence of complex Euclidean action, it is necessary to use the ensuing complex critical points in order to define the quantum (perturbation) theory \cite{ampr}. In the present example, if we do not do so, exactly the opposite, erroneous conclusion, that the tunneling is unsuppressed for all spins, is reached.

[ { "created": "Sat, 28 Jun 2008 15:15:20 GMT", "version": "v1" } ]

2013-05-29

[ [ "Khare", "Avinash", "" ], [ "Paranjape", "M. B.", "" ] ]

The semi-classical limit of quantum spin systems corresponds to a dynamical Lagrangian which contains the usual kinetic energy, the couplings and interactions of the spins and an additional, first order kinematical term which corresponds to the Wess-Zumino-Novikov-Witten (WZNW) term for the spin degree of freedom \cite{og}. It was shown that in the case of the kinetic dynamics determined only by the WZNW term, half odd integer spin systems show a lack of tunneling phenomena whereas integer spin systems are subject to it \cite{l} in the case of potentials with easy-plane easy-axis symmetry. Here we prove, for the theory with a normal quadratic kinetic term of arbitrary strength or the first order theory with azimuthal symmetry (which is equivalently the so-called easy-axis situation), that the tunneling is in fact suppressed for all non-zero values of spin. This model exemplifies the concept that in the presence of complex Euclidean action, it is necessary to use the ensuing complex critical points in order to define the quantum (perturbation) theory \cite{ampr}. In the present example, if we do not do so, exactly the opposite, erroneous conclusion, that the tunneling is unsuppressed for all spins, is reached.

14.911087

16.024315

15.435106

14.557792

14.667328

15.39331

14.424314

14.434053

14.52657

16.009329

14.792047

14.358548

14.673884

14.505475

14.248655

14.587258

14.328984

14.390295

14.626398

15.296911

14.549658

hep-th/0401076

Laurent Freidel

Laurent Freidel and David Louapre

Ponzano-Regge model revisited I: Gauge fixing, observables and interacting spinning particles

48 pages, 15 figures

Class.Quant.Grav. 21 (2004) 5685-5726

10.1088/0264-9381/21/24/002

null

hep-th gr-qc

null

We show how to properly gauge fix all the symmetries of the Ponzano-Regge model for 3D quantum gravity. This amounts to do explicit finite computations for transition amplitudes. We give the construction of the transition amplitudes in the presence of interacting quantum spinning particles. We introduce a notion of operators whose expectation value gives rise to either gauge fixing, introduction of time, or insertion of particles, according to the choice. We give the link between the spin foam quantization and the hamiltonian quantization. We finally show the link between Ponzano-Regge model and the quantization of Chern-Simons theory based on the double quantum group of SU(2)

[ { "created": "Mon, 12 Jan 2004 21:13:31 GMT", "version": "v1" } ]

2009-11-10

[ [ "Freidel", "Laurent", "" ], [ "Louapre", "David", "" ] ]

We show how to properly gauge fix all the symmetries of the Ponzano-Regge model for 3D quantum gravity. This amounts to do explicit finite computations for transition amplitudes. We give the construction of the transition amplitudes in the presence of interacting quantum spinning particles. We introduce a notion of operators whose expectation value gives rise to either gauge fixing, introduction of time, or insertion of particles, according to the choice. We give the link between the spin foam quantization and the hamiltonian quantization. We finally show the link between Ponzano-Regge model and the quantization of Chern-Simons theory based on the double quantum group of SU(2)

11.093522

10.837521

10.455385

9.949659

11.375738

10.475881

10.382884

9.700565

10.156942

10.275099

9.957538

10.404575

10.207352

10.025427

10.126563

10.122379

10.137878

9.630874

10.221791

10.047898

10.239449

hep-th/0406252

Ruth Gregory

Ruth Gregory, Richard Whisker, Kris Beckwith, Chris Done

Observing braneworld black holes

25 pages latex JHEP style, 3 figures

JCAP 0410:013,2004

10.1088/1475-7516/2004/10/013

IPPP/04/33, DCPT/04/66

hep-th astro-ph hep-ph

null

Spacetime in the vicinity of an event horizon can be probed using observations which explore the dynamics of the accretion disc. Many high energy theories of gravity lead to modifications of the near horizon regime, potentially providing a testing ground for these theories. In this paper, we explore the impact of braneworld gravity on this region by formulating a method of deriving the general behaviour of the as yet unknown braneworld black hole solution. We use simple bounds to constrain the solution close to the horizon.

[ { "created": "Mon, 28 Jun 2004 08:22:56 GMT", "version": "v1" } ]

2010-11-19

[ [ "Gregory", "Ruth", "" ], [ "Whisker", "Richard", "" ], [ "Beckwith", "Kris", "" ], [ "Done", "Chris", "" ] ]

Spacetime in the vicinity of an event horizon can be probed using observations which explore the dynamics of the accretion disc. Many high energy theories of gravity lead to modifications of the near horizon regime, potentially providing a testing ground for these theories. In this paper, we explore the impact of braneworld gravity on this region by formulating a method of deriving the general behaviour of the as yet unknown braneworld black hole solution. We use simple bounds to constrain the solution close to the horizon.

13.752214

12.629951

12.217308

11.33359

11.880911

13.828684

13.1113

12.656531

12.790403

12.926432

13.114166

12.255073

11.610018

11.722104

11.914805

11.967661

11.707188

11.998581

11.816011

11.669767

11.942005

2102.12779

Matsuo Sato

Masaki Honda, Matsuo Sato, Taiki Tohshima

Superstring Backgrounds in String Geometry

15 pages. arXiv admin note: text overlap with arXiv:2003.12487

Adv.High Energy Phys. 2021 (2021) 9993903

10.1155/2021/9993903

null

hep-th gr-qc hep-ph

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

String geometry theory is a candidate of the non-perturbative formulation of string theory. In order to determine the string vacuum, we need to clarify how superstring backgrounds are described in string geometry theory. In this paper, we show that all the type IIA, IIB, SO(32) type I, and SO(32) and $E_8 \times E_8$ heterotic superstring backgrounds are embedded in configurations of the fields of a single string geometry model. Especially, we show that the configurations satisfy the equations of motion of the string geometry model in $\alpha' \to 0$ if and only if the embedded string backgrounds satisfy the equations of motion of the supergravities, respectively. This means that classical dynamics of the string backgrounds are described as a part of classical dynamics in string geometry theory. Furthermore, we define an energy of the configurations in the string geometry model because they do not depend on the string geometry time. A string background can be determined by minimizing the energy.

[ { "created": "Thu, 25 Feb 2021 10:54:20 GMT", "version": "v1" }, { "created": "Tue, 22 Jun 2021 10:16:50 GMT", "version": "v2" } ]

2022-02-01

[ [ "Honda", "Masaki", "" ], [ "Sato", "Matsuo", "" ], [ "Tohshima", "Taiki", "" ] ]

String geometry theory is a candidate of the non-perturbative formulation of string theory. In order to determine the string vacuum, we need to clarify how superstring backgrounds are described in string geometry theory. In this paper, we show that all the type IIA, IIB, SO(32) type I, and SO(32) and $E_8 \times E_8$ heterotic superstring backgrounds are embedded in configurations of the fields of a single string geometry model. Especially, we show that the configurations satisfy the equations of motion of the string geometry model in $\alpha' \to 0$ if and only if the embedded string backgrounds satisfy the equations of motion of the supergravities, respectively. This means that classical dynamics of the string backgrounds are described as a part of classical dynamics in string geometry theory. Furthermore, we define an energy of the configurations in the string geometry model because they do not depend on the string geometry time. A string background can be determined by minimizing the energy.

6.463414

4.810295

6.54359

5.314942

5.764261

5.925915

5.740317

4.741206

5.306929

7.099391

5.616529

5.894319

6.308244

5.900724

6.043914

5.858628

6.041113

5.966857

5.958618

6.342041

6.011179

1207.2333

Aninda Sinha

Arpan Bhattacharyya, Ling-Yan Hung, Kallol Sen and Aninda Sinha

On c-theorems in arbitrary dimensions

25 pages, v3: reference added, Cotton tensor dependence of counterterm at eight-derivative order shown, v4: published version

Phys. Rev. D 86, 106006 (2012)

10.1103/PhysRevD.86.106006

null

hep-th gr-qc

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

The dilaton action in 3+1 dimensions plays a crucial role in the proof of the a-theorem. This action arises using Wess-Zumino consistency conditions and crucially relies on the existence of the trace anomaly. Since there are no anomalies in odd dimensions, it is interesting to ask how such an action could arise otherwise. Motivated by this we use the AdS/CFT correspondence to examine both even and odd dimensional CFTs. We find that in even dimensions, by promoting the cut-off to a field, one can get an action for this field which coincides with the WZ action in flat space. In three dimensions, we observe that by finding an exact Hamilton-Jacobi counterterm, one can find a non-polynomial action which is invariant under global Weyl rescalings. We comment on how this finding is tied up with the F-theorem conjectures.

[ { "created": "Tue, 10 Jul 2012 12:38:30 GMT", "version": "v1" }, { "created": "Wed, 18 Jul 2012 07:18:19 GMT", "version": "v2" }, { "created": "Thu, 9 Aug 2012 10:41:29 GMT", "version": "v3" }, { "created": "Tue, 20 Nov 2012 06:29:04 GMT", "version": "v4" } ]

2013-05-30

[ [ "Bhattacharyya", "Arpan", "" ], [ "Hung", "Ling-Yan", "" ], [ "Sen", "Kallol", "" ], [ "Sinha", "Aninda", "" ] ]

The dilaton action in 3+1 dimensions plays a crucial role in the proof of the a-theorem. This action arises using Wess-Zumino consistency conditions and crucially relies on the existence of the trace anomaly. Since there are no anomalies in odd dimensions, it is interesting to ask how such an action could arise otherwise. Motivated by this we use the AdS/CFT correspondence to examine both even and odd dimensional CFTs. We find that in even dimensions, by promoting the cut-off to a field, one can get an action for this field which coincides with the WZ action in flat space. In three dimensions, we observe that by finding an exact Hamilton-Jacobi counterterm, one can find a non-polynomial action which is invariant under global Weyl rescalings. We comment on how this finding is tied up with the F-theorem conjectures.

8.774792

8.275942

8.992911

8.05437

8.395178

8.384672

8.406251

7.805882

7.750659

9.06253

7.891958

8.091105

8.698805

8.151177

8.337786

8.247468

7.865984

8.15849

7.97514

8.796134

8.50633

hep-th/0703163

Xin-Hui Zhang

Yi-Shi Duan, Xin-Hui Zhang and Li Zhao

Topological aspect of black hole with Skyrme hair

10 pages,0 figures

Int.J.Mod.Phys.A21:5895-5904,2006

10.1142/S0217751X06033994

null

hep-th

null

Based on the $\phi$-mapping topological current theory, we show that the presence of the black hole leaves fractional baryon charge outside the horizon in the Einstein-Skyrme theory. A topological current is derived from the Einstein-Skyrme system, which corresponds to the monopoles around the black hole. The branch process (splitting, merging and intersection) is simply discussed during the evolution of the monopoles.

[ { "created": "Mon, 19 Mar 2007 02:27:59 GMT", "version": "v1" } ]

2008-11-26

[ [ "Duan", "Yi-Shi", "" ], [ "Zhang", "Xin-Hui", "" ], [ "Zhao", "Li", "" ] ]

Based on the $\phi$-mapping topological current theory, we show that the presence of the black hole leaves fractional baryon charge outside the horizon in the Einstein-Skyrme theory. A topological current is derived from the Einstein-Skyrme system, which corresponds to the monopoles around the black hole. The branch process (splitting, merging and intersection) is simply discussed during the evolution of the monopoles.

15.460965

9.443213

13.125105

9.344148

10.346156

10.754467

11.117317

9.136971

9.879748

13.090669

10.069808

12.302472

13.420689

12.385983

12.821603

12.500422

12.54281

11.951193

12.581552

13.336843

13.456375

1511.08208

Mirjam Cvtic

Mirjam Cvetic, Antonella Grassi, Denis Klevers, Maximilian Poretschkin, Peng Song

Origin of Abelian Gauge Symmetries in Heterotic/F-theory Duality

52 pages, 15 figures

null

10.1007/JHEP04(2016)041

UPR-1275-T CERN-PH-TH-2015-273

hep-th

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

We study aspects of heterotic/F-theory duality for compactifications with Abelian gauge symmetries. We consider F-theory on general Calabi-Yau manifolds with a rank one Mordell-Weil group of rational sections. By rigorously performing the stable degeneration limit in a class of toric models, we derive both the Calabi-Yau geometry as well as the spectral cover describing the vector bundle in the heterotic dual theory. We carefully investigate the spectral cover employing the group law on the elliptic curve in the heterotic theory. We find in explicit examples that there are three different classes of heterotic duals that have U(1) factors in their low energy effective theories: split spectral covers describing bundles with S(U(m) x U(1)) structure group, spectral covers containing torsional sections that seem to give rise to bundles with SU(m) x Z_k structure group and bundles with purely non-Abelian structure groups having a centralizer in E_8 containing a U(1) factor. In the former two cases, it is required that the elliptic fibration on the heterotic side has a non-trivial Mordell-Weil group. While the number of geometrically massless U(1)'s is determined entirely by geometry on the F-theory side, on the heterotic side the correct number of U(1)'s is found by taking into account a Stuckelberg mechanism in the lower-dimensional effective theory. In geometry, this corresponds to the condition that sections in the two half K3 surfaces that arise in the stable degeneration limit of F-theory can be glued together globally.

[ { "created": "Wed, 25 Nov 2015 20:59:35 GMT", "version": "v1" } ]

2016-05-04

[ [ "Cvetic", "Mirjam", "" ], [ "Grassi", "Antonella", "" ], [ "Klevers", "Denis", "" ], [ "Poretschkin", "Maximilian", "" ], [ "Song", "Peng", "" ] ]

We study aspects of heterotic/F-theory duality for compactifications with Abelian gauge symmetries. We consider F-theory on general Calabi-Yau manifolds with a rank one Mordell-Weil group of rational sections. By rigorously performing the stable degeneration limit in a class of toric models, we derive both the Calabi-Yau geometry as well as the spectral cover describing the vector bundle in the heterotic dual theory. We carefully investigate the spectral cover employing the group law on the elliptic curve in the heterotic theory. We find in explicit examples that there are three different classes of heterotic duals that have U(1) factors in their low energy effective theories: split spectral covers describing bundles with S(U(m) x U(1)) structure group, spectral covers containing torsional sections that seem to give rise to bundles with SU(m) x Z_k structure group and bundles with purely non-Abelian structure groups having a centralizer in E_8 containing a U(1) factor. In the former two cases, it is required that the elliptic fibration on the heterotic side has a non-trivial Mordell-Weil group. While the number of geometrically massless U(1)'s is determined entirely by geometry on the F-theory side, on the heterotic side the correct number of U(1)'s is found by taking into account a Stuckelberg mechanism in the lower-dimensional effective theory. In geometry, this corresponds to the condition that sections in the two half K3 surfaces that arise in the stable degeneration limit of F-theory can be glued together globally.

3.529967

6.027524

6.856495

5.565096

5.939488

6.121408

5.922688

5.713701

5.639492

6.715305

5.712792

5.191391

5.519803

5.165298

5.080349

5.208339

5.22851

5.155247

4.861064

5.456875

5.049258

hep-th/0501191

Laurent Freidel

Laurent Freidel, Artem Starodubtsev

Quantum gravity in terms of topological observables

19 pages

null

hep-th gr-qc

null

We recast the action principle of four dimensional General Relativity so that it becomes amenable for perturbation theory which doesn't break general covariance. The coupling constant becomes dimensionless (G_{Newton} \Lambda) and extremely small 10^{-120}. We give an expression for the generating functional of perturbation theory. We show that the partition function of quantum General Relativity can be expressed as an expectation value of a certain topologically invariant observable. This sets up a framework in which quantum gravity can be studied perturbatively using the techniques of topological quantum field theory.

[ { "created": "Mon, 24 Jan 2005 17:29:34 GMT", "version": "v1" }, { "created": "Wed, 9 Feb 2005 22:07:06 GMT", "version": "v2" } ]

2007-05-23

[ [ "Freidel", "Laurent", "" ], [ "Starodubtsev", "Artem", "" ] ]

We recast the action principle of four dimensional General Relativity so that it becomes amenable for perturbation theory which doesn't break general covariance. The coupling constant becomes dimensionless (G_{Newton} \Lambda) and extremely small 10^{-120}. We give an expression for the generating functional of perturbation theory. We show that the partition function of quantum General Relativity can be expressed as an expectation value of a certain topologically invariant observable. This sets up a framework in which quantum gravity can be studied perturbatively using the techniques of topological quantum field theory.

10.881911

11.256709

10.551335

9.496286

10.508353

9.989833

10.138391

9.630834

9.805606

11.131763

9.930172

9.462336

9.911271

9.475176

9.710304

9.454528

9.886897

9.516047

9.980271

9.888373

9.386812

0903.2581

Vassilios Zamarias

Conical singularities regularized in warped six-dimensional flux compactification and their induced brane cosmology

14 pages

J.Phys.Conf.Ser.189:012047,2009

10.1088/1742-6596/189/1/012047

null

hep-th

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

We discuss the regularization of codimension-2 singularities in warped six-dimensional Einstein-Maxwell axisymmetric models by replacing them by codimension-1 branes of a ring form, situated around the axis of symmetry. Further we consider the case of one capped regularized conical brane of codimension one and study the cosmological evolution which is induced on it as it moves in between the known {\it static} bulk and cap solutions. We present the resulting brane Friedmann equation which gives a dominant five-dimensional $\rho^2$ energy density term at high energies and a term linear to the energy density at low energies with, however, negative coefficient in the small four-brane radius limit (i.e. with negative effective Newton's constant)

[ { "created": "Sat, 14 Mar 2009 21:41:53 GMT", "version": "v1" } ]

2009-11-05

[ [ "Zamarias", "Vassilios", "" ] ]

We discuss the regularization of codimension-2 singularities in warped six-dimensional Einstein-Maxwell axisymmetric models by replacing them by codimension-1 branes of a ring form, situated around the axis of symmetry. Further we consider the case of one capped regularized conical brane of codimension one and study the cosmological evolution which is induced on it as it moves in between the known {\it static} bulk and cap solutions. We present the resulting brane Friedmann equation which gives a dominant five-dimensional $\rho^2$ energy density term at high energies and a term linear to the energy density at low energies with, however, negative coefficient in the small four-brane radius limit (i.e. with negative effective Newton's constant)

18.525652

14.989687

18.488323

15.762123

15.476702

15.026153

15.868578

15.482267

15.887444

19.105999

16.370813

16.158903

17.6532

16.811256

16.444061

16.945614

16.824709

16.521057

16.509693

17.992008

17.120518

0810.2236

Jose M. Isidro

S. Abraham, P. Fernandez de Cordoba, J.M. Isidro, J.L.G. Santander

The Ricci flow on Riemann surfaces

7 pages, refs. added, minor corrections

JP J.Geom.Topol.9:215-223,2009

null

hep-th

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

We establish a 1-to-1 relation between metrics on compact Riemann surfaces without boundary, and mechanical systems having those surfaces as configuration spaces.

[ { "created": "Mon, 13 Oct 2008 13:45:19 GMT", "version": "v1" }, { "created": "Thu, 16 Oct 2008 14:27:14 GMT", "version": "v2" }, { "created": "Mon, 8 Dec 2008 20:01:38 GMT", "version": "v3" } ]

2010-02-10

[ [ "Abraham", "S.", "" ], [ "de Cordoba", "P. Fernandez", "" ], [ "Isidro", "J. M.", "" ], [ "Santander", "J. L. G.", "" ] ]

We establish a 1-to-1 relation between metrics on compact Riemann surfaces without boundary, and mechanical systems having those surfaces as configuration spaces.

14.744425

10.414177

13.595697

11.46611

11.167017

12.557604

12.610457

11.570511

11.392639

14.49099

12.420409

13.642914

14.173036

13.93731

13.854171

12.857809

13.910965

13.746334

14.520123

14.671262

13.00777

1910.13061

Andr\'es Fabio Goya

Gaston Giribet, Andres Goya, Edmundo Lavia, Julio Oliva

Critical points of the Exotic Massive 3D Gravity

14 pages, 1 figure

null

10.1016/j.physletb.2020.135618

null

hep-th

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

Exotic Massive 3D Gravity (EMG) is a higher order generalization of Topologically Massive Gravity. As in other theories of this sort, the conserved charges associated to the asymptotic diffeomorphisms that preserve the boundary conditions in AdS3 spacetime span two copies of the Virasoro algebra with non-vanishing central charges. Here, we discuss the values of these central charges and the corresponding conformal anomaly in relation to the phase space of the theory.

[ { "created": "Tue, 29 Oct 2019 03:05:11 GMT", "version": "v1" } ]

2020-07-22

[ [ "Giribet", "Gaston", "" ], [ "Goya", "Andres", "" ], [ "Lavia", "Edmundo", "" ], [ "Oliva", "Julio", "" ] ]

Exotic Massive 3D Gravity (EMG) is a higher order generalization of Topologically Massive Gravity. As in other theories of this sort, the conserved charges associated to the asymptotic diffeomorphisms that preserve the boundary conditions in AdS3 spacetime span two copies of the Virasoro algebra with non-vanishing central charges. Here, we discuss the values of these central charges and the corresponding conformal anomaly in relation to the phase space of the theory.

7.332954

6.01469

7.284747

6.119077

6.335954

5.653677

5.594667

5.633638

6.065788

7.182478

6.097011

5.871839

6.75281

6.341553

6.367121

6.162009

6.113826

6.013598

6.569788

7.351478

6.184587

0707.0894

Tsutomu Kobayashi

Tsutomu Kobayashi, Yu-ichi Takamizu

Hybrid compactifications and brane gravity in six dimensions

15 pages, 2 figures; v2: references added; v3: accepted for publication in Class. Quant. Grav

Class.Quant.Grav.25:015007,2007

10.1088/0264-9381/25/1/015007

WU-AP/271/07

hep-th gr-qc

null

We consider a six-dimensional axisymmetric Einstein-Maxwell model of warped braneworlds. The bulk is bounded by two branes, one of which is a conical 3-brane and the other is a 4-brane wrapped around the axis of symmetry. The latter brane is assumed to be our universe. If the tension of the 3-brane is fine-tuned, it folds the internal two-dimensional space in a narrow cone, making sufficiently small the Kaluza-Klein circle of the 4-brane. An arbitrary energy-momentum tensor can be accommodated on this ring-like 4-brane. We study linear perturbations sourced by matter on the brane, and show that weak gravity is apparently described by a four-dimensional scalar-tensor theory. The extra scalar degree of freedom can be interpreted as the fluctuation of the internal space volume (or that of the circumference of the ring), the effect of which turns out to be suppressed at long distances. Consequently, four-dimensional Einstein gravity is reproduced on the brane. We point out that as in the Randall-Sundrum model, the brane bending mode is crucial for recovering the four-dimensional tensor structure in this setup.

[ { "created": "Fri, 6 Jul 2007 01:37:42 GMT", "version": "v1" }, { "created": "Fri, 13 Jul 2007 13:09:47 GMT", "version": "v2" }, { "created": "Wed, 28 Nov 2007 01:33:42 GMT", "version": "v3" } ]

2008-11-26

[ [ "Kobayashi", "Tsutomu", "" ], [ "Takamizu", "Yu-ichi", "" ] ]

We consider a six-dimensional axisymmetric Einstein-Maxwell model of warped braneworlds. The bulk is bounded by two branes, one of which is a conical 3-brane and the other is a 4-brane wrapped around the axis of symmetry. The latter brane is assumed to be our universe. If the tension of the 3-brane is fine-tuned, it folds the internal two-dimensional space in a narrow cone, making sufficiently small the Kaluza-Klein circle of the 4-brane. An arbitrary energy-momentum tensor can be accommodated on this ring-like 4-brane. We study linear perturbations sourced by matter on the brane, and show that weak gravity is apparently described by a four-dimensional scalar-tensor theory. The extra scalar degree of freedom can be interpreted as the fluctuation of the internal space volume (or that of the circumference of the ring), the effect of which turns out to be suppressed at long distances. Consequently, four-dimensional Einstein gravity is reproduced on the brane. We point out that as in the Randall-Sundrum model, the brane bending mode is crucial for recovering the four-dimensional tensor structure in this setup.

7.969478

7.432383

8.428198

7.649282

7.976755

7.7633

8.090369

7.857347

7.606291

8.53986

7.424167

7.822996

7.725786

7.612681

7.640775

7.724948

7.927882

7.476333

7.729908

7.696207

7.77397

hep-th/9807165

Fabian Gaioli

Edgardo T. Garcia Alvarez and Fabian H. Gaioli

On the quantum electrodynamics of moving bodies

21 pages, 2 figures, Latex

Int.J.Theor.Phys. 36 (1997) 2391-2407

null

hep-th

null

A new synthesis of the principles of relativity and quantum mechanics is developed by replacing the Poincar\'e group for the de Sitter one. The new relativistic quantum mechanics is an indefinite mass theory which is reduced to the standard theory on the mass shell. The charge conjugation acquires a geometrical meaning and the Stueckelberg interpretation for antiparticles naturally arises in the formalism. So the idea of the Dirac sea in the second quantized formalism proves to be superfluous. The off-shell theory is free from ultraviolet divergences, which only appear in the process of mass shell reduction.

[ { "created": "Tue, 21 Jul 1998 23:40:03 GMT", "version": "v1" } ]

2007-05-23

[ [ "Alvarez", "Edgardo T. Garcia", "" ], [ "Gaioli", "Fabian H.", "" ] ]

A new synthesis of the principles of relativity and quantum mechanics is developed by replacing the Poincar\'e group for the de Sitter one. The new relativistic quantum mechanics is an indefinite mass theory which is reduced to the standard theory on the mass shell. The charge conjugation acquires a geometrical meaning and the Stueckelberg interpretation for antiparticles naturally arises in the formalism. So the idea of the Dirac sea in the second quantized formalism proves to be superfluous. The off-shell theory is free from ultraviolet divergences, which only appear in the process of mass shell reduction.

9.584727

9.478525

8.784922

8.633625

9.27292

9.257108

9.130986

8.720616

8.933978

9.012742

9.057506

9.022045

8.487908

8.48442

8.465989

8.456509

8.682425

8.279151

8.462301

8.503233

8.504383

1008.3980

Ali Chamseddine

Ali H. Chamseddine and Alain Connes

Noncommutative Geometric Spaces with Boundary: Spectral Action

26 pages

J.Geom.Phys.61:317-332,2011

10.1016/j.geomphys.2010.10.002

null

hep-th gr-qc

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

We study spectral action for Riemannian manifolds with boundary, and then generalize this to noncommutative spaces which are products of a Riemannian manifold times a finite space. We determine the boundary conditions consistent with the hermiticity of the Dirac operator. We then define spectral triples of noncommutative spaces with boundary. In particular we evaluate the spectral action corresponding to the noncommutative space of the standard model and show that the Einstein-Hilbert action gets modified by the addition of the extrinsic curvature terms with the right sign and coefficient necessary for consistency of the Hamiltonian. We also include effects due to the addition of dilaton field.

[ { "created": "Tue, 24 Aug 2010 08:03:40 GMT", "version": "v1" } ]

2010-11-23

[ [ "Chamseddine", "Ali H.", "" ], [ "Connes", "Alain", "" ] ]

We study spectral action for Riemannian manifolds with boundary, and then generalize this to noncommutative spaces which are products of a Riemannian manifold times a finite space. We determine the boundary conditions consistent with the hermiticity of the Dirac operator. We then define spectral triples of noncommutative spaces with boundary. In particular we evaluate the spectral action corresponding to the noncommutative space of the standard model and show that the Einstein-Hilbert action gets modified by the addition of the extrinsic curvature terms with the right sign and coefficient necessary for consistency of the Hamiltonian. We also include effects due to the addition of dilaton field.

7.791184

7.369534

8.106867

7.538962

7.893296

8.711507

8.082339

7.449716

7.868743

8.325835

7.002388

7.493903

7.753389

7.568699

7.148963

7.047882

7.624721

7.057034

7.061603

7.801437

6.947068

0910.3722

Shingo Takeuchi

Yoshinori Matsuo, Sang-Jin Sin, Shingo Takeuchi, Takuya Tsukioka

Magnetic conductivity and Chern-Simons Term in Holographic Hydrodynamics of Charged AdS Black Hole

19 pages, 2 figures; v2 discussion on classification of perturbation fields based on helicity base, third order in dispersion relation and more discussion on magnetic conductivity are added, some typos are corrected and references are added; v3 published version

JHEP 1004:071,2010

10.1007/JHEP04(2010)071

APCTP-Pre2009-011

hep-th

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

We study the effects of the Chern-Simons term in the hydrodynamics of the five-dimensional Reissner-Nordstrom-AdS background. We work out the decoupling problem of the equations of motion and calculate the retarded Green functions explicitly. We then find that the Chern-Simons term induces the magnetic conductivity caused by the anomaly effect. It is increasing function of temperature running from a non-zero value at zero temperature to the twice the value at infinite temperature.

[ { "created": "Tue, 20 Oct 2009 17:15:16 GMT", "version": "v1" }, { "created": "Tue, 30 Mar 2010 19:40:04 GMT", "version": "v2" }, { "created": "Sun, 23 May 2010 15:12:08 GMT", "version": "v3" } ]

2010-05-27

[ [ "Matsuo", "Yoshinori", "" ], [ "Sin", "Sang-Jin", "" ], [ "Takeuchi", "Shingo", "" ], [ "Tsukioka", "Takuya", "" ] ]

We study the effects of the Chern-Simons term in the hydrodynamics of the five-dimensional Reissner-Nordstrom-AdS background. We work out the decoupling problem of the equations of motion and calculate the retarded Green functions explicitly. We then find that the Chern-Simons term induces the magnetic conductivity caused by the anomaly effect. It is increasing function of temperature running from a non-zero value at zero temperature to the twice the value at infinite temperature.

12.245934

10.304261

11.671061

10.515513

10.208299

9.59193

9.482435

9.685617

9.094332

11.875682

10.106252

10.597538

11.175421

10.871938

10.509576

9.984593

10.196229

10.502335

10.419899

11.48581

10.438553

hep-th/0205199

Eve Mariel Santangelo

C.G. Beneventano, E.M. Santangelo and A. Wipf

Spectral asymmetry for bag boundary conditions

Some minor changes. To appear in Journal of Physics A: Mathematical and General

J.Phys.A35:9343,2002

10.1088/0305-4470/35/44/305

La Plata Th 02-02; FSUJ-TPI-02-02

hep-th math-ph math.MP

null

We give an expression, in terms of boundary spectral functions, for the spectral asymmetry of the Euclidean Dirac operator in two dimensions, when its domain is determined by local boundary conditions, and the manifold is of product type. As an application, we explicitly evaluate the asymmetry in the case of a finite-length cylinder, and check that the outcome is consistent with our general result. Finally, we study the asymmetry in a disk, which is a non-product case, and propose an interpretation.

[ { "created": "Mon, 20 May 2002 16:18:03 GMT", "version": "v1" }, { "created": "Thu, 12 Sep 2002 14:24:57 GMT", "version": "v2" } ]

2008-11-26

[ [ "Beneventano", "C. G.", "" ], [ "Santangelo", "E. M.", "" ], [ "Wipf", "A.", "" ] ]

We give an expression, in terms of boundary spectral functions, for the spectral asymmetry of the Euclidean Dirac operator in two dimensions, when its domain is determined by local boundary conditions, and the manifold is of product type. As an application, we explicitly evaluate the asymmetry in the case of a finite-length cylinder, and check that the outcome is consistent with our general result. Finally, we study the asymmetry in a disk, which is a non-product case, and propose an interpretation.

8.167507

7.844569

8.740685

7.751672

7.824421

8.408499

8.272851

9.048615

8.4307

8.950053

8.911534

8.256904

8.277621

7.634975

8.08039

8.125025

8.195828

8.286353

8.176896

8.514882

7.780278

hep-th/9209097

null

B. Rusakov

From hermitian matrix model to lattice gauge theory

8pages, Latex

null

TAUP 1996-92

hep-th hep-lat

null

I consider a lattice model of a gauge field interacting with matrix-valued scalars in $D$ dimensions. The model includes an adjustable parameter $\s$, which plays role of the string tension. In the limit $\s=\infty$ the model coincides with Kazakov-Migdal's ``induced QCD", where Wilson loops obey a zero area law. The limit $\s=0$, where Wilson loops $W(C)=1$ independently of the size of the loop, corresponds to the Hermitian matrix model. For $D=2$ and $D=3$ I show that the model obeys the same combinatorics as the standard LGT and therefore one may expect the area law behavior. In the strong coupling expansion such a behavior is demonstrated.

[ { "created": "Thu, 24 Sep 1992 15:13:12 GMT", "version": "v1" } ]

2007-05-23

[ [ "Rusakov", "B.", "" ] ]

I consider a lattice model of a gauge field interacting with matrix-valued scalars in $D$ dimensions. The model includes an adjustable parameter $\s$, which plays role of the string tension. In the limit $\s=\infty$ the model coincides with Kazakov-Migdal's ``induced QCD", where Wilson loops obey a zero area law. The limit $\s=0$, where Wilson loops $W(C)=1$ independently of the size of the loop, corresponds to the Hermitian matrix model. For $D=2$ and $D=3$ I show that the model obeys the same combinatorics as the standard LGT and therefore one may expect the area law behavior. In the strong coupling expansion such a behavior is demonstrated.

9.2139

8.260674

10.261837

8.4745

8.953305

8.51545

8.923085

8.59387

8.535262

10.409639

8.203668

8.459565

8.956318

8.423552

8.472074

8.209563

8.431347

8.229754

8.519863

8.978157

8.342428

hep-th/9406096

null

C.M. Becchi, R. Collina and C. Imbimbo

A Functional and Lagrangian Formulation of Two-Dimensional Topological Gravity

11 pages, harvmac, CERN-TH-7302/94, GEF-Th-6/1994

null

hep-th

null

We reconsider two-dimensional topological gravity in a functional and lagrangian framework. We derive its Slavnov-Taylor identities and discuss its (in)dependence on the background gauge. Correlators of reparamerization invariant observables are shown to be globally defined forms on moduli space. The potential obstruction to their gauge-independence is the non-triviality of the line bundle on moduli space ${\cal L}_x$, whose first Chern-class is associated to the topological invariants of Mumford, Morita and Miller. Based on talks given at the Fubini Fest, Torino, 24-26 February 1994, and at the Workshop on String Theory, Trieste, 20-22 April 1994.

[ { "created": "Wed, 15 Jun 1994 09:10:54 GMT", "version": "v1" } ]

2007-05-23

[ [ "Becchi", "C. M.", "" ], [ "Collina", "R.", "" ], [ "Imbimbo", "C.", "" ] ]

We reconsider two-dimensional topological gravity in a functional and lagrangian framework. We derive its Slavnov-Taylor identities and discuss its (in)dependence on the background gauge. Correlators of reparamerization invariant observables are shown to be globally defined forms on moduli space. The potential obstruction to their gauge-independence is the non-triviality of the line bundle on moduli space ${\cal L}_x$, whose first Chern-class is associated to the topological invariants of Mumford, Morita and Miller. Based on talks given at the Fubini Fest, Torino, 24-26 February 1994, and at the Workshop on String Theory, Trieste, 20-22 April 1994.

9.997436

9.997252

11.853534

9.839312

9.19226

8.645871

9.485961

9.800141

9.554815

11.285281

8.91925

9.13312

9.782173

9.264259

9.542397

9.481913

9.471992

9.109853

9.718566

9.583048

9.212029

hep-th/0509019

Joshua Feinberg

Joshua Feinberg and Shlomi Hillel

Stable Fermion Bag Solitons in the Massive Gross-Neveu Model: Inverse Scattering Analysis

10 pages, revtex, no figures; v2: typos corrected, references added; v3: version accepted for publication in the PRD. referencess added. Some minor clarifications added at the beginning of section 3

Phys.Rev. D72 (2005) 105009

10.1103/PhysRevD.72.105009

null

hep-th

null

Formation of fermion bag solitons is an important paradigm in the theory of hadron structure. We study this phenomenon non-perturbatively in the 1+1 dimensional Massive Gross-Neveu model, in the large $N$ limit. We find, applying inverse scattering techniques, that the extremal static bag configurations are reflectionless, as in the massless Gross-Neveu model. This adds to existing results of variational calculations, which used reflectionless bag profiles as trial configurations. Only reflectionless trial configurations which support a single pair of charge-conjugate bound states of the associated Dirac equation were used in those calculations, whereas the results in the present paper hold for bag configurations which support an arbitrary number of such pairs. We compute the masses of these multi-bound state solitons, and prove that only bag configurations which bear a single pair of bound states are stable. Each one of these configurations gives rise to an O(2N) antisymmetric tensor multiplet of soliton states, as in the massless Gross-Neveu model.

[ { "created": "Thu, 1 Sep 2005 23:19:14 GMT", "version": "v1" }, { "created": "Wed, 21 Sep 2005 19:37:52 GMT", "version": "v2" }, { "created": "Fri, 28 Oct 2005 21:33:59 GMT", "version": "v3" } ]

2009-11-11

[ [ "Feinberg", "Joshua", "" ], [ "Hillel", "Shlomi", "" ] ]

Formation of fermion bag solitons is an important paradigm in the theory of hadron structure. We study this phenomenon non-perturbatively in the 1+1 dimensional Massive Gross-Neveu model, in the large $N$ limit. We find, applying inverse scattering techniques, that the extremal static bag configurations are reflectionless, as in the massless Gross-Neveu model. This adds to existing results of variational calculations, which used reflectionless bag profiles as trial configurations. Only reflectionless trial configurations which support a single pair of charge-conjugate bound states of the associated Dirac equation were used in those calculations, whereas the results in the present paper hold for bag configurations which support an arbitrary number of such pairs. We compute the masses of these multi-bound state solitons, and prove that only bag configurations which bear a single pair of bound states are stable. Each one of these configurations gives rise to an O(2N) antisymmetric tensor multiplet of soliton states, as in the massless Gross-Neveu model.

9.414289

9.07198

9.565996

8.886819

8.733555

9.057214

8.54847

9.247115

8.686768

9.705031

9.033416

8.730252

8.972482

8.863042

9.097904

8.893843

8.966061

8.940764

8.762923

9.013381

8.866926

2206.06187

Erik Tonni

Mihail Mintchev, Diego Pontello, Erik Tonni

Entanglement entropies of an interval in the free Schr\"odinger field theory on the half line

54 pages, 11 figures

JHEP 09 (2022) 090

10.1007/JHEP09(2022)090

null

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

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

We study the entanglement entropies of an interval adjacent to the boundary of the half line for the free fermionic spinless Schr\"odinger field theory at finite density and zero temperature, with either Neumann or Dirichlet boundary conditions. They are finite functions of the dimensionless parameter given by the product of the Fermi momentum and the length of the interval. The entanglement entropy displays an oscillatory behaviour, differently from the case of the interval on the whole line. This behaviour is related to the Friedel oscillations of the mean particle density on the half line at the entangling point. We find analytic expressions for the expansions of the entanglement entropies in the regimes of small and large values of the dimensionless parameter. They display a remarkable agreement with the curves obtained numerically. The analysis is extended to a family of free fermionic Lifshitz models labelled by their integer Lifshitz exponent, whose parity determines the properties of the entanglement entropies. The cumulants of the local charge operator and the Schatten norms of the underlying kernels are also explored.

[ { "created": "Mon, 13 Jun 2022 14:21:37 GMT", "version": "v1" } ]

2022-09-20

[ [ "Mintchev", "Mihail", "" ], [ "Pontello", "Diego", "" ], [ "Tonni", "Erik", "" ] ]

We study the entanglement entropies of an interval adjacent to the boundary of the half line for the free fermionic spinless Schr\"odinger field theory at finite density and zero temperature, with either Neumann or Dirichlet boundary conditions. They are finite functions of the dimensionless parameter given by the product of the Fermi momentum and the length of the interval. The entanglement entropy displays an oscillatory behaviour, differently from the case of the interval on the whole line. This behaviour is related to the Friedel oscillations of the mean particle density on the half line at the entangling point. We find analytic expressions for the expansions of the entanglement entropies in the regimes of small and large values of the dimensionless parameter. They display a remarkable agreement with the curves obtained numerically. The analysis is extended to a family of free fermionic Lifshitz models labelled by their integer Lifshitz exponent, whose parity determines the properties of the entanglement entropies. The cumulants of the local charge operator and the Schatten norms of the underlying kernels are also explored.

7.374535

7.270637

8.404755

6.973004

7.410451

7.33716

6.99337

6.950572

6.759912

8.929272

7.466646

6.89075

8.066617

7.09442

7.175603

7.108245

6.843945

7.406578

7.282575

7.927026

7.023194

hep-th/0606018

Hiroshi Umetsu

Satoshi Iso, Hiroshi Umetsu, Frank Wilczek

Anomalies, Hawking Radiations and Regularity in Rotating Black Holes

21 pages, minor corrections, added an appendix to summarize our notations for the Kaluza-Klein reduction

Phys.Rev.D74:044017,2006

10.1103/PhysRevD.74.044017

MIT-CTP-3730, KEK-TH-1077, OIQP-06-02

hep-th gr-qc hep-ph

null

This is an extended version of our previous letter hep-th/0602146. In this paper we consider rotating black holes and show that the flux of Hawking radiation can be determined by anomaly cancellation conditions and regularity requirement at the horizon. By using a dimensional reduction technique, each partial wave of quantum fields in a d=4 rotating black hole background can be interpreted as a (1+1)-dimensional charged field with a charge proportional to the azimuthal angular momentum m. From this and the analysis gr-qc/0502074, hep-th/0602146 on Hawking radiation from charged black holes, we show that the total flux of Hawking radiation from rotating black holes can be universally determined in terms of the values of anomalies at the horizon by demanding gauge invariance and general coordinate covariance at the quantum level. We also clarify our choice of boundary conditions and show that our results are consistent with the effective action approach where regularity at the future horizon and vanishing of ingoing modes at r=\infty are imposed (i.e. Unruh vacuum).

[ { "created": "Fri, 2 Jun 2006 10:36:18 GMT", "version": "v1" }, { "created": "Thu, 10 Jan 2008 02:09:12 GMT", "version": "v2" }, { "created": "Fri, 7 Mar 2008 06:27:00 GMT", "version": "v3" } ]

2008-11-26

[ [ "Iso", "Satoshi", "" ], [ "Umetsu", "Hiroshi", "" ], [ "Wilczek", "Frank", "" ] ]

This is an extended version of our previous letter hep-th/0602146. In this paper we consider rotating black holes and show that the flux of Hawking radiation can be determined by anomaly cancellation conditions and regularity requirement at the horizon. By using a dimensional reduction technique, each partial wave of quantum fields in a d=4 rotating black hole background can be interpreted as a (1+1)-dimensional charged field with a charge proportional to the azimuthal angular momentum m. From this and the analysis gr-qc/0502074, hep-th/0602146 on Hawking radiation from charged black holes, we show that the total flux of Hawking radiation from rotating black holes can be universally determined in terms of the values of anomalies at the horizon by demanding gauge invariance and general coordinate covariance at the quantum level. We also clarify our choice of boundary conditions and show that our results are consistent with the effective action approach where regularity at the future horizon and vanishing of ingoing modes at r=\infty are imposed (i.e. Unruh vacuum).

9.803472

8.345058

10.057443

8.942143

8.720923

8.608715

8.178425

8.23251

8.593451

10.009568

8.310317

8.716004

9.247752

8.774418

8.983787

8.842495

8.683679

8.938258

8.907061

9.399826

8.86544

hep-th/9802140

Ingo Gaida

Ingo Gaida (DAMTP, University of Cambridge)

N = 2 Supersymmetric Quantum Black Holes in Five Dimensional Heterotic String Vacua

11 pages, standard latex

Phys.Lett. B429 (1998) 297-303

10.1016/S0370-2693(98)00446-8

DAMTP-98-11

hep-th

null

Exact black hole solutions of the five dimensional heterotic $S$-$T$-$U$ model including all perturbative quantum corrections and preserving $1/2$ of $N=2$ supersymmetry are studied. It is shown that the quantum corrections yield a bound on electric charges and harmonic functions of the solutions.

[ { "created": "Fri, 20 Feb 1998 10:28:56 GMT", "version": "v1" } ]

2009-10-31

[ [ "Gaida", "Ingo", "", "DAMTP, University of Cambridge" ] ]

Exact black hole solutions of the five dimensional heterotic $S$-$T$-$U$ model including all perturbative quantum corrections and preserving $1/2$ of $N=2$ supersymmetry are studied. It is shown that the quantum corrections yield a bound on electric charges and harmonic functions of the solutions.

12.352695

9.001814

12.044825

9.211448

9.142879

8.755222

9.695779

8.227624

7.828146

10.861364

10.677567

9.293753

9.942175

9.155013

9.691609

9.631481

9.549277

9.486245

9.02846

9.708168

9.47051

hep-th/9903039

Marco Laucelli Meana

Marco Laucelli Meana and Jes\'us Puente Pe\~nalba

On the microcanonical description of D-brane thermodynamics

LaTeX 27 pages, 5 figures, Also avalable at http://condmat1.ciencias.uniovi.es (V2)Minor changes, references added and a clarification of the role of the ND and DN directions

Nucl.Phys. B560 (1999) 154-180

null

FFUOV-99/03

hep-th

null

We study the microcanonical description of string gases in the presence of D-branes. We obtain exact expressions for the single string density of states and draw the regions in phase space where asymptotic approximations are valid. We are able to describe the whole range of energies including the SYM phase of the D-branes and we remark the importance of the infrared cut-off used in the high energy approximations. With the complete expression we can obtain the density of states of the multiple string gas and study its thermal properties, showing that the Hagedorn temperature is maximum for every system and there is never a phase transition whenever there is thermal contact among the strings attached to different D-branes.

[ { "created": "Wed, 3 Mar 1999 18:30:14 GMT", "version": "v1" }, { "created": "Tue, 9 Mar 1999 19:50:18 GMT", "version": "v2" } ]

2007-05-23

[ [ "Meana", "Marco Laucelli", "" ], [ "Peñalba", "Jesús Puente", "" ] ]

We study the microcanonical description of string gases in the presence of D-branes. We obtain exact expressions for the single string density of states and draw the regions in phase space where asymptotic approximations are valid. We are able to describe the whole range of energies including the SYM phase of the D-branes and we remark the importance of the infrared cut-off used in the high energy approximations. With the complete expression we can obtain the density of states of the multiple string gas and study its thermal properties, showing that the Hagedorn temperature is maximum for every system and there is never a phase transition whenever there is thermal contact among the strings attached to different D-branes.

11.865695

10.951671

13.105533

11.318216

11.663845

11.369683

10.888595

10.907728

11.054576

12.732017

11.398344

11.073786

11.409773

10.689574

10.902713

10.901842

10.720355

10.94687

10.999285

11.138414

10.784532

0910.3680

Richard Hill

Richard J. Hill

SU(3)/SU(2): the simplest Wess-Zumino-Witten term

11 pages, 1 figure; references added

Phys.Rev.D81:065032,2010

10.1103/PhysRevD.81.065032

EFI Preprint 09-23

hep-th hep-ph

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

The observation that SU(3)/SU(2) ~ S^5 implies the existence of a particularly simple quantized topological action, or Wess-Zumino-Witten (WZW) term. This action plays an important role in anomaly cancellation in extensions of the Standard Model electroweak sector. A closed form is presented for the action coupled to arbitrary gauge fields. The action is shown to be equivalent to a limit of the WZW term for SU(3) x SU(3) / SU(3). By reduction of SU(3) x U(1) / SU(2) x U(1) to SU(2) x U(1) / U(1), the construction gives a topological derivation of the WZW term for the Standard Model Higgs field.

[ { "created": "Tue, 20 Oct 2009 14:51:11 GMT", "version": "v1" }, { "created": "Fri, 23 Oct 2009 21:37:14 GMT", "version": "v2" } ]

2010-04-14

[ [ "Hill", "Richard J.", "" ] ]

The observation that SU(3)/SU(2) ~ S^5 implies the existence of a particularly simple quantized topological action, or Wess-Zumino-Witten (WZW) term. This action plays an important role in anomaly cancellation in extensions of the Standard Model electroweak sector. A closed form is presented for the action coupled to arbitrary gauge fields. The action is shown to be equivalent to a limit of the WZW term for SU(3) x SU(3) / SU(3). By reduction of SU(3) x U(1) / SU(2) x U(1) to SU(2) x U(1) / U(1), the construction gives a topological derivation of the WZW term for the Standard Model Higgs field.

5.931585

5.953858

5.913502

5.580543

6.153274

5.854465

5.992037

5.945107

5.678984

6.315498

5.777721

5.651782

5.718948

5.54246

5.989731

5.91825

5.763362

5.649008

5.717455

5.688591

5.672328

0907.0410

Hari Kunduri

Hari K. Kunduri, James Lucietti

Static near-horizon geometries in five dimensions

Latex, 28 pages. v2: minor changes, reference added

Class. Quantum Grav. 26: 245010, 2009

10.1088/0264-9381/26/24/245010

DCPT-09/41, DAMTP-2009-49

hep-th gr-qc

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

We consider the classification of static near-horizon geometries of stationary extremal (not necessarily BPS) black hole solutions of five dimensional Einstein-Maxwell theory coupled to a Chern-Simons term with coupling xi (with xi=1 corresponding to supergravity). Assuming the black holes have two rotational symmetries, we show that their near-horizon geometries are either the direct product AdS_3 X S^2 or a warped product of AdS_2 and compact 3d space. In the AdS_2 case we are able to classify all possible near-horizon geometries with no magnetic fields. There are two such solutions: the direct product AdS_2 X S^3 as well as a warped product of AdS_2 and an inhomogeneous S^3. The latter solution turns out to be near-horizon limit of an extremal Reissner-Nordstrom black hole in an external electric field. In the AdS_2 case with magnetic fields, we reduce the problem (in all cases) to a single non-linear ODE. We show that if there are any purely magnetic solutions of this kind they must have S^1 X S^2 horizon topology, and for xi^2 <1/4 we find examples of solutions with both electric and magnetic fields.

[ { "created": "Thu, 2 Jul 2009 16:30:26 GMT", "version": "v1" }, { "created": "Wed, 23 Dec 2009 12:54:37 GMT", "version": "v2" } ]

2009-12-23

[ [ "Kunduri", "Hari K.", "" ], [ "Lucietti", "James", "" ] ]

We consider the classification of static near-horizon geometries of stationary extremal (not necessarily BPS) black hole solutions of five dimensional Einstein-Maxwell theory coupled to a Chern-Simons term with coupling xi (with xi=1 corresponding to supergravity). Assuming the black holes have two rotational symmetries, we show that their near-horizon geometries are either the direct product AdS_3 X S^2 or a warped product of AdS_2 and compact 3d space. In the AdS_2 case we are able to classify all possible near-horizon geometries with no magnetic fields. There are two such solutions: the direct product AdS_2 X S^3 as well as a warped product of AdS_2 and an inhomogeneous S^3. The latter solution turns out to be near-horizon limit of an extremal Reissner-Nordstrom black hole in an external electric field. In the AdS_2 case with magnetic fields, we reduce the problem (in all cases) to a single non-linear ODE. We show that if there are any purely magnetic solutions of this kind they must have S^1 X S^2 horizon topology, and for xi^2 <1/4 we find examples of solutions with both electric and magnetic fields.

5.213551

5.058636

5.556406

5.011503

5.286622

5.153455

4.958139

5.046248

4.927731

5.891914

5.0941

4.936698

5.002258

4.905655

4.926686

4.880718

4.912366

4.765361

4.935049

5.101363

4.879453

1704.03989

Xiao-Xiong Zeng

Rong-Gen Cai, Xiao-Xiong Zeng, Hai-Qing Zhang

Influence of inhomogeneities on holographic mutual information and butterfly effect

a footnote is added and some typos are revised

JHEP 1707 (2017) 082

10.1007/JHEP07(2017)082

null

hep-th gr-qc

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

We study the effect of inhomogeneity, which is induced by the graviton mass in massive gravity, on the mutual information and the chaotic behavior of a 2+1-dimensional field theory from the gauge/gravity duality. When the system is near-homogeneous, the mutual information increases as the graviton mass grows. However, when the system is far from homogeneity, the mutual information decreases as the graviton mass increases. By adding the perturbations of energy into the system, we investigate the dynamical mutual information in the shock wave geometry. We find that the greater perturbations disrupt the mutual information more rapidly, which resembles the butterfly effect in chaos theory. Besides, the greater inhomogeneity reduces the dynamical mutual information more quickly just as in the static case.

[ { "created": "Thu, 13 Apr 2017 04:15:26 GMT", "version": "v1" }, { "created": "Tue, 18 Apr 2017 13:37:25 GMT", "version": "v2" }, { "created": "Wed, 7 Jun 2017 12:26:38 GMT", "version": "v3" } ]

2017-07-21

[ [ "Cai", "Rong-Gen", "" ], [ "Zeng", "Xiao-Xiong", "" ], [ "Zhang", "Hai-Qing", "" ] ]

We study the effect of inhomogeneity, which is induced by the graviton mass in massive gravity, on the mutual information and the chaotic behavior of a 2+1-dimensional field theory from the gauge/gravity duality. When the system is near-homogeneous, the mutual information increases as the graviton mass grows. However, when the system is far from homogeneity, the mutual information decreases as the graviton mass increases. By adding the perturbations of energy into the system, we investigate the dynamical mutual information in the shock wave geometry. We find that the greater perturbations disrupt the mutual information more rapidly, which resembles the butterfly effect in chaos theory. Besides, the greater inhomogeneity reduces the dynamical mutual information more quickly just as in the static case.

7.279032

7.001146

7.277583

6.672391

6.958481

7.408284

6.875087

7.060312

6.707726

7.810244

6.91565

6.93698

7.109747

6.965664

7.179132

7.016284

7.053524

6.971129

6.966792

7.319226

6.940156

1301.1495

Amin Faraji Astaneh

Amin Faraji Astaneh, Amir Esmaeil Mosaffa

Holographic Entanglement Entropy for Excited States in Two Dimensional CFT

18 pages, Refs. added

JHEP03(2013)135

null

hep-th

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

We use holographic methods to study the entanglement entropy for excited states in a two dimensional conformal field theory. The entangling area is a single interval and the excitations are produced by in and out vertex operators with given scaling dimensions. On the gravity side we provide the excitations by turning on a scalar field with an appropriate mass. The calculation amounts to using the gravitational background, with a singular boundary, to find the one point function of the vertex operators. The singular boundary is taken care of by introducing a nontrivial UV regulator surface to calculate gravitational partition functions. By means of holographic methods we reproduce the field theory results for primary excitations.

[ { "created": "Tue, 8 Jan 2013 11:22:41 GMT", "version": "v1" }, { "created": "Thu, 24 Jan 2013 08:46:26 GMT", "version": "v2" } ]

2013-03-27

[ [ "Astaneh", "Amin Faraji", "" ], [ "Mosaffa", "Amir Esmaeil", "" ] ]

We use holographic methods to study the entanglement entropy for excited states in a two dimensional conformal field theory. The entangling area is a single interval and the excitations are produced by in and out vertex operators with given scaling dimensions. On the gravity side we provide the excitations by turning on a scalar field with an appropriate mass. The calculation amounts to using the gravitational background, with a singular boundary, to find the one point function of the vertex operators. The singular boundary is taken care of by introducing a nontrivial UV regulator surface to calculate gravitational partition functions. By means of holographic methods we reproduce the field theory results for primary excitations.

11.014167

10.896764

12.926201

10.583484

11.349435

10.36132

11.00921

9.865077

10.930711

14.425697

10.642862

10.817587

11.261293

10.256923

10.621662

10.267967

10.577945

10.588842

10.602777

10.857872

10.326543

2306.07345

Brian Kent

Elena C\'aceres, Tyler Guglielmo, Brian Kent, Anderson Misobuchi

Out-of-time-order correlators and Lyapunov exponents in sparse SYK

22 pages + 18 pages Appendices, 13 Figures. Version submitted to JHEP for publication

null

10.1007/JHEP11(2023)088

null

hep-th

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

We use a combination of analytical and numerical methods to study out-of-time order correlators (OTOCs) in the sparse Sachdev-Ye-Kitaev (SYK) model. We find that at a given order of N , the standard result for the q-local, all-to-all SYK, obtained through the sum over ladder diagrams, is corrected by a series in the sparsity parameter, k. We present an algorithm to sum the diagrams at any given order of 1/(kq)n. We also study OTOCs numerically as a function of the sparsity parameter and determine the Lyapunov exponent. We find that numerical stability when extracting the Lyapunov exponent requires averaging over a massive number of realizations. This trade-off between the efficiency of the sparse model and consistent behavior at finite N becomes more significant for larger values of N .

[ { "created": "Mon, 12 Jun 2023 18:07:08 GMT", "version": "v1" }, { "created": "Wed, 29 Nov 2023 00:40:45 GMT", "version": "v2" } ]

2023-11-30

[ [ "Cáceres", "Elena", "" ], [ "Guglielmo", "Tyler", "" ], [ "Kent", "Brian", "" ], [ "Misobuchi", "Anderson", "" ] ]

We use a combination of analytical and numerical methods to study out-of-time order correlators (OTOCs) in the sparse Sachdev-Ye-Kitaev (SYK) model. We find that at a given order of N , the standard result for the q-local, all-to-all SYK, obtained through the sum over ladder diagrams, is corrected by a series in the sparsity parameter, k. We present an algorithm to sum the diagrams at any given order of 1/(kq)n. We also study OTOCs numerically as a function of the sparsity parameter and determine the Lyapunov exponent. We find that numerical stability when extracting the Lyapunov exponent requires averaging over a massive number of realizations. This trade-off between the efficiency of the sparse model and consistent behavior at finite N becomes more significant for larger values of N .

9.802321

10.528024

11.512118

9.499399

10.328052

9.917795

11.181569

9.929296

10.622074

12.032658

10.074717

9.995746

10.815495

10.100109

10.15502

10.522097

10.133299

10.125737

9.971034

10.967586

10.49778

hep-th/0310296

Shin'ichi Nojiri

Shin'ichi Nojiri and Sergei D. Odintsov

Quantum effects and stability of chameleon cosmology

LaTeX file, 10 pages, references are added

Mod.Phys.Lett.A19:1273-1280,2004

10.1142/S0217732304015282

null

hep-th astro-ph gr-qc

null

One possibility to explain the current accelerated expansion of the universe may be related with the presence of cosmologically evolving scalar whose mass depends on the local matter density (chameleon cosmology). We point out that matter quantum effects in such scalar-tensor theory produce the chameleon scalar field dependent conformal anomaly. Such conformal anomaly adds higher derivative terms to chameleon field equation of motion. As a result, the principal possibility for instabilities appears. These instabilities seem to be irrelevant at small curvature but may become dangerous in the regions where gravitational field is strong.

[ { "created": "Fri, 31 Oct 2003 15:22:39 GMT", "version": "v1" }, { "created": "Mon, 10 Nov 2003 21:18:27 GMT", "version": "v2" } ]

2009-09-17

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

One possibility to explain the current accelerated expansion of the universe may be related with the presence of cosmologically evolving scalar whose mass depends on the local matter density (chameleon cosmology). We point out that matter quantum effects in such scalar-tensor theory produce the chameleon scalar field dependent conformal anomaly. Such conformal anomaly adds higher derivative terms to chameleon field equation of motion. As a result, the principal possibility for instabilities appears. These instabilities seem to be irrelevant at small curvature but may become dangerous in the regions where gravitational field is strong.

15.630508

13.275927

15.990585

13.489036

14.803117

14.722333

16.327103

13.306235

14.34613

16.394537

13.503136

14.025863

14.193056

14.054179

13.964539

13.747726

14.244236

13.606596

13.955794

14.517218

13.778069

hep-th/0411262

Amihay Hanany

Sergio Benvenuti and Amihay Hanany

New results on superconformal quivers

51 pages, many figures

JHEP0604:032,2006

10.1088/1126-6708/2006/04/032

MIT-CTP-3505

hep-th

null

All superconformal quivers are shown to satisfy the relation c = a and are thus good candidates for being the field theory living on D3 branes probing CY singularities. We systematically study 3 block and 4 block chiral quivers which admit a superconformal fixed point of the RG equation. Most of these theories are known to arise as living on D3 branes at a singular CY manifold, namely complex cones over del Pezzo surfaces. In the process we find a procedure of getting a new superconformal quiver from a known one. This procedure is termed "shrinking" and, in the 3 block case, leads to the discovery of two new models. Thus, the number of superconformal 3 block quivers is 16 rather than the previously known 14. We prove that this list exausts all the possibilities. We suggest that all rank 2 chiral quivers are either del Pezzo quivers or can be obtained by shrinking a del Pezzo quiver and verify this statement for all 4 block quivers, where a lot of "shrunk'' del Pezzo models exist.

[ { "created": "Mon, 29 Nov 2004 18:53:31 GMT", "version": "v1" } ]

2009-11-10

[ [ "Benvenuti", "Sergio", "" ], [ "Hanany", "Amihay", "" ] ]

All superconformal quivers are shown to satisfy the relation c = a and are thus good candidates for being the field theory living on D3 branes probing CY singularities. We systematically study 3 block and 4 block chiral quivers which admit a superconformal fixed point of the RG equation. Most of these theories are known to arise as living on D3 branes at a singular CY manifold, namely complex cones over del Pezzo surfaces. In the process we find a procedure of getting a new superconformal quiver from a known one. This procedure is termed "shrinking" and, in the 3 block case, leads to the discovery of two new models. Thus, the number of superconformal 3 block quivers is 16 rather than the previously known 14. We prove that this list exausts all the possibilities. We suggest that all rank 2 chiral quivers are either del Pezzo quivers or can be obtained by shrinking a del Pezzo quiver and verify this statement for all 4 block quivers, where a lot of "shrunk'' del Pezzo models exist.

9.03327

8.73145

9.329307

8.50863

8.858258

8.7214

8.946059

8.591308

8.448663

9.616079

8.429082

8.192556

8.528161

8.394389

8.413526

8.329224

8.442379

8.350643

8.462565

8.649186

8.326272

2206.09437

Francesco Fucito

Dario Consoli, Francesco Fucito, Jose Francisco Morales, Rubik Poghossian

CFT description of BH's and ECO's: QNMs, superradiance, echoes and tidal responses

32 pages, references and explanations added to match the referee's observations

null

10.1007/JHEP12(2022)115

null

hep-th gr-qc

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

Using conformal field theory and localization tecniques we study the propagation of waves in gravity backgrounds described by Schr\"odinger like equations with Fuchsian singularities. Exact formulae for the connection matrices relating the asymptotic behaviour of the wave functions near the singularities are obtained in terms of braiding and fusion rules of the CFT. The results are applied to the study of quasi normal modes, absorption cross sections, amplification factors, echoes and tidal responses of black holes (BH) and exotic compact objects (ECO) in four and five dimensions. In particular, we propose a definition of dynamical Love numbers in gravity.

[ { "created": "Sun, 19 Jun 2022 15:59:21 GMT", "version": "v1" }, { "created": "Tue, 12 Jul 2022 11:59:01 GMT", "version": "v2" }, { "created": "Tue, 13 Sep 2022 12:30:57 GMT", "version": "v3" } ]

2023-01-04

[ [ "Consoli", "Dario", "" ], [ "Fucito", "Francesco", "" ], [ "Morales", "Jose Francisco", "" ], [ "Poghossian", "Rubik", "" ] ]

Using conformal field theory and localization tecniques we study the propagation of waves in gravity backgrounds described by Schr\"odinger like equations with Fuchsian singularities. Exact formulae for the connection matrices relating the asymptotic behaviour of the wave functions near the singularities are obtained in terms of braiding and fusion rules of the CFT. The results are applied to the study of quasi normal modes, absorption cross sections, amplification factors, echoes and tidal responses of black holes (BH) and exotic compact objects (ECO) in four and five dimensions. In particular, we propose a definition of dynamical Love numbers in gravity.

12.572912

11.374875

11.614531

10.291688

11.620566

11.449798

11.1552

9.567241

10.243677

10.622958

10.874542

10.813099

11.060096

10.835808

11.891614

11.249325

10.945659

11.097006

11.089025

11.317219

11.199992

hep-th/0401130

Tekin Dereli

T. Dereli (Koc University), R. W. Tucker (Lancaster University)

On the Energy-Momentum Density of Gravitational Plane Waves

10 pages, no figures

Class.Quant.Grav. 21 (2004) 1459-1465

10.1088/0264-9381/21/6/013

null

hep-th gr-qc

null

By embedding Einstein's original formulation of GR into a broader context we show that a dynamic covariant description of gravitational stress-energy emerges naturally from a variational principle. A tensor $T^G$ is constructed from a contraction of the Bel tensor with a symmetric covariant second degree tensor field $\Phi$ and has a form analogous to the stress-energy tensor of the Maxwell field in an arbitrary space-time. For plane-fronted gravitational waves helicity-2 polarised (graviton) states can be identified carrying non-zero energy and momentum.

[ { "created": "Tue, 20 Jan 2004 08:03:47 GMT", "version": "v1" } ]

2009-11-10

[ [ "Dereli", "T.", "", "Koc University" ], [ "Tucker", "R. W.", "", "Lancaster University" ] ]

By embedding Einstein's original formulation of GR into a broader context we show that a dynamic covariant description of gravitational stress-energy emerges naturally from a variational principle. A tensor $T^G$ is constructed from a contraction of the Bel tensor with a symmetric covariant second degree tensor field $\Phi$ and has a form analogous to the stress-energy tensor of the Maxwell field in an arbitrary space-time. For plane-fronted gravitational waves helicity-2 polarised (graviton) states can be identified carrying non-zero energy and momentum.

15.653641

19.803972

14.678946

14.622602

17.1952

17.383595

17.244762

16.108675

17.96472

18.11602

15.144997

14.573467

14.403898

13.968179

14.845901

15.416577

15.672664

14.211437

14.374027

14.451722

14.196918

2211.05437

Apollonas S. Matsoukas-Roubeas

Apollonas S. Matsoukas-Roubeas, Federico Roccati, Julien Cornelius, Zhenyu Xu, Aurelia Chenu, Adolfo del Campo

Non-Hermitian Hamiltonian Deformations in Quantum Mechanics

28 pages, 6 figures

J. High Energ. Phys. 2023, 60 (2023)

10.1007/JHEP01(2023)060

null

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

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

The construction of exactly-solvable models has recently been advanced by considering integrable $T\bar{T}$ deformations and related Hamiltonian deformations in quantum mechanics. We introduce a broader class of non-Hermitian Hamiltonian deformations in a nonrelativistic setting, to account for the description of a large class of open quantum systems, which includes, e.g., arbitrary Markovian evolutions conditioned to the absence of quantum jumps. We relate the time evolution operator and the time-evolving density matrix in the undeformed and deformed theories in terms of integral transforms with a specific kernel. Non-Hermitian Hamiltonian deformations naturally arise in the description of energy diffusion that emerges in quantum systems from time-keeping errors in a real clock used to track time evolution. We show that the latter can be related to an inverse $T\bar{T}$ deformation with a purely imaginary deformation parameter. In this case, the integral transforms take a particularly simple form when the initial state is a coherent Gibbs state or a thermofield double state, as we illustrate by characterizing the purity, R\'enyi entropies, logarithmic negativity, and the spectral form factor. As the dissipative evolution of a quantum system can be conveniently described in Liouville space, we further discuss the spectral properties of the Liouvillians, i.e., the dynamical generators associated with the deformed theories. As an application, we discuss the interplay between decoherence and quantum chaos in non-Hermitian deformations of random matrix Hamiltonians and the Sachdev-Ye-Kitaev model.

[ { "created": "Thu, 10 Nov 2022 09:25:59 GMT", "version": "v1" }, { "created": "Tue, 17 Jan 2023 11:41:34 GMT", "version": "v2" } ]

2023-01-18

[ [ "Matsoukas-Roubeas", "Apollonas S.", "" ], [ "Roccati", "Federico", "" ], [ "Cornelius", "Julien", "" ], [ "Xu", "Zhenyu", "" ], [ "Chenu", "Aurelia", "" ], [ "del Campo", "Adolfo", "" ] ]

The construction of exactly-solvable models has recently been advanced by considering integrable $T\bar{T}$ deformations and related Hamiltonian deformations in quantum mechanics. We introduce a broader class of non-Hermitian Hamiltonian deformations in a nonrelativistic setting, to account for the description of a large class of open quantum systems, which includes, e.g., arbitrary Markovian evolutions conditioned to the absence of quantum jumps. We relate the time evolution operator and the time-evolving density matrix in the undeformed and deformed theories in terms of integral transforms with a specific kernel. Non-Hermitian Hamiltonian deformations naturally arise in the description of energy diffusion that emerges in quantum systems from time-keeping errors in a real clock used to track time evolution. We show that the latter can be related to an inverse $T\bar{T}$ deformation with a purely imaginary deformation parameter. In this case, the integral transforms take a particularly simple form when the initial state is a coherent Gibbs state or a thermofield double state, as we illustrate by characterizing the purity, R\'enyi entropies, logarithmic negativity, and the spectral form factor. As the dissipative evolution of a quantum system can be conveniently described in Liouville space, we further discuss the spectral properties of the Liouvillians, i.e., the dynamical generators associated with the deformed theories. As an application, we discuss the interplay between decoherence and quantum chaos in non-Hermitian deformations of random matrix Hamiltonians and the Sachdev-Ye-Kitaev model.

7.860383

8.643639

8.515063

8.019259

8.671463

8.531117

8.156981

8.093078

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9.094378

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7.821937

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7.939566

7.935554

8.170122

7.990288

hep-th/9502116

Douglas A. Singleton

Douglas Singleton

Axially Symmetric Solutions for SU(2) Yang-Mills Theory

15 pages LaTeX

J.Math.Phys. 37 (1996) 4574-4583

10.1063/1.531659

null

hep-th

null

By casting the Yang-Mills-Higgs equations of an SU(2) theory in the form of the Ernst equations of general relativity, it is shown how the known exact solutions of general relativity can be used to give similiar solutions for Yang-Mills theory. Thus all the known exact solutions of general relativity with axial symmetry (e.g. the Kerr metric, the Tomimatsu-Sato metric) have Yang-Mills equivalents. In this paper we only examine in detail the Kerr-like solution. It will be seen that this solution has surfaces where the gauge and scalar fields become infinite, which correspond to the infinite redshift surfaces of the normal Kerr solution. It is speculated that this feature may be connected with the confinement mechanism since any particle which carries an SU(2) color charge would tend to become trapped once it passes these surfaces. Unlike the Kerr solution, our solution apparently does not have any intrinsic angular momentum, but rather appears to give the non-Abelian field configuration associated with concentric shells of color charge.

[ { "created": "Sun, 19 Feb 1995 00:26:14 GMT", "version": "v1" } ]

2009-10-28

[ [ "Singleton", "Douglas", "" ] ]

By casting the Yang-Mills-Higgs equations of an SU(2) theory in the form of the Ernst equations of general relativity, it is shown how the known exact solutions of general relativity can be used to give similiar solutions for Yang-Mills theory. Thus all the known exact solutions of general relativity with axial symmetry (e.g. the Kerr metric, the Tomimatsu-Sato metric) have Yang-Mills equivalents. In this paper we only examine in detail the Kerr-like solution. It will be seen that this solution has surfaces where the gauge and scalar fields become infinite, which correspond to the infinite redshift surfaces of the normal Kerr solution. It is speculated that this feature may be connected with the confinement mechanism since any particle which carries an SU(2) color charge would tend to become trapped once it passes these surfaces. Unlike the Kerr solution, our solution apparently does not have any intrinsic angular momentum, but rather appears to give the non-Abelian field configuration associated with concentric shells of color charge.

8.864532

9.443859

9.090567

8.435814

9.084385

8.593575

9.360517

8.516456

8.32585

9.303558

8.615952

8.37605

8.496007

8.481245

8.548696

8.504848

8.512963

8.453105

8.638702

8.686711

8.443117

1505.04978

Markku Oksanen

R. Bufalo, M. Oksanen, A. Tureanu

How unimodular gravity theories differ from general relativity at quantum level

35 pages; v4: included a full treatment of nonlocally linearly dependent generators as Appendix A, Refs. 28 and 29 added, extended the discussion on physical degrees of freedom, boundary terms, and conclusions

Eur. Phys. J. C 75 (2015) 477

10.1140/epjc/s10052-015-3683-3

null

hep-th gr-qc

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

We investigate path integral quantization of two versions of unimodular gravity. First a fully diffeomorphism-invariant theory is analyzed, which does not include a unimodular condition on the metric, while still being equivalent to other unimodular gravity theories at the classical level. The path integral has the same form as in general relativity (GR), except that the cosmological constant is an unspecified value of a variable, and it thus is unrelated to any coupling constant. When the state of the universe is a superposition of vacuum states, the path integral is extended to include an integral over the cosmological constant. Second, we analyze the standard unimodular theory of gravity, where the metric determinant is fixed by a constraint. Its path integral differs from the one of GR in two ways: the metric of spacetime satisfies the unimodular condition only in average over space, and both the Hamiltonian constraint and the associated gauge condition have zero average over space. Finally, the canonical relation between the given unimodular theories of gravity is established.

[ { "created": "Tue, 19 May 2015 12:57:29 GMT", "version": "v1" }, { "created": "Wed, 20 May 2015 17:35:15 GMT", "version": "v2" }, { "created": "Tue, 28 Jul 2015 18:28:20 GMT", "version": "v3" }, { "created": "Wed, 7 Oct 2015 13:00:39 GMT", "version": "v4" } ]

2015-10-08

[ [ "Bufalo", "R.", "" ], [ "Oksanen", "M.", "" ], [ "Tureanu", "A.", "" ] ]

We investigate path integral quantization of two versions of unimodular gravity. First a fully diffeomorphism-invariant theory is analyzed, which does not include a unimodular condition on the metric, while still being equivalent to other unimodular gravity theories at the classical level. The path integral has the same form as in general relativity (GR), except that the cosmological constant is an unspecified value of a variable, and it thus is unrelated to any coupling constant. When the state of the universe is a superposition of vacuum states, the path integral is extended to include an integral over the cosmological constant. Second, we analyze the standard unimodular theory of gravity, where the metric determinant is fixed by a constraint. Its path integral differs from the one of GR in two ways: the metric of spacetime satisfies the unimodular condition only in average over space, and both the Hamiltonian constraint and the associated gauge condition have zero average over space. Finally, the canonical relation between the given unimodular theories of gravity is established.

7.600599

8.453412

7.997664

7.069629

7.967782

8.35771

8.290254

7.890056

8.151512

8.811196

7.511889

7.34237

7.616238

7.612827

7.698545

7.326522

7.460659

7.663712

7.643621

7.501184

7.539941

1603.00969

Varghese Mathai

Varghese Mathai, Jonathan Rosenberg

Group dualities, T-dualities, and twisted K-theory

29 pages, mild revision

J. London Math. Soc. (2) 97 (2018) 1-23

10.1112/jlms.12085

null

hep-th math.AT math.KT

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

This paper explores further the connection between Langlands duality and T-duality for compact simple Lie groups, which appeared in work of Daenzer-Van Erp and Bunke-Nikolaus. We show that Langlands duality gives rise to isomorphisms of twisted K-groups, but that these K-groups are trivial except in the simplest case of SU(2) and SO(3). Along the way we compute explicitly the map on $H^3$ induced by a covering of compact simple Lie groups, which is either 1 or 2 depending in a complicated way on the type of the groups involved. We also give a new method for computing twisted K-theory using the Segal spectral sequence, giving simpler computations of certain twisted K-theory groups of compact Lie groups relevant for D-brane charges in WZW theories and rank-level dualities. Finally we study a duality for orientifolds based on complex Lie groups with an involution.

[ { "created": "Thu, 3 Mar 2016 04:26:42 GMT", "version": "v1" }, { "created": "Mon, 13 Mar 2017 01:05:00 GMT", "version": "v2" } ]

2018-02-08

[ [ "Mathai", "Varghese", "" ], [ "Rosenberg", "Jonathan", "" ] ]

This paper explores further the connection between Langlands duality and T-duality for compact simple Lie groups, which appeared in work of Daenzer-Van Erp and Bunke-Nikolaus. We show that Langlands duality gives rise to isomorphisms of twisted K-groups, but that these K-groups are trivial except in the simplest case of SU(2) and SO(3). Along the way we compute explicitly the map on $H^3$ induced by a covering of compact simple Lie groups, which is either 1 or 2 depending in a complicated way on the type of the groups involved. We also give a new method for computing twisted K-theory using the Segal spectral sequence, giving simpler computations of certain twisted K-theory groups of compact Lie groups relevant for D-brane charges in WZW theories and rank-level dualities. Finally we study a duality for orientifolds based on complex Lie groups with an involution.

8.828088

10.284311

12.304302

9.187411

10.82241

10.245353

9.91701

10.187311

10.696565

12.577662

9.409389

8.923239

9.896928

8.867567

9.197652

9.13506

9.027583

9.182421

8.772983

9.412398

8.889396

hep-th/9308127

Roger Brooks

R. Brooks, J.-G. Demers and C. Lucchesi

Twisting to Abelian BF/Chern-Simons Theories

19 pages, CTP #2237, LaTeX

Nucl.Phys. B415 (1994) 353-372

10.1016/0550-3213(94)90115-5

null

hep-th

null

Starting from a $D=3$, $N=4$ supersymmetric theory for matter fields, a twist with a Grassmann parity change is defined which maps the theory into a gauge fixed, abelian $BF$ theory on curved 3-manifolds. After adding surface terms to this theory, the twist is seen to map the resulting supersymmetric action to two uncoupled copies of the gauge fixed Chern-Simons action. In addition, we give a map which takes the $BF$ and Chern-Simons theories into Donaldson-Witten TQFT's. A similar construction, but with $N=2$ supersymmetry, is given in two dimensions.

[ { "created": "Thu, 26 Aug 1993 21:03:32 GMT", "version": "v1" } ]

2009-10-22

[ [ "Brooks", "R.", "" ], [ "Demers", "J. -G.", "" ], [ "Lucchesi", "C.", "" ] ]

Starting from a $D=3$, $N=4$ supersymmetric theory for matter fields, a twist with a Grassmann parity change is defined which maps the theory into a gauge fixed, abelian $BF$ theory on curved 3-manifolds. After adding surface terms to this theory, the twist is seen to map the resulting supersymmetric action to two uncoupled copies of the gauge fixed Chern-Simons action. In addition, we give a map which takes the $BF$ and Chern-Simons theories into Donaldson-Witten TQFT's. A similar construction, but with $N=2$ supersymmetry, is given in two dimensions.

9.470032

10.03058

9.995319

8.862575

8.850902

9.386461

9.513965

9.259059

8.790933

11.050596

9.054932

8.911806

9.638824

9.072799

9.005251

9.354993

9.241193

9.131518

9.08078

9.460097

9.317579

1112.1049

Christian Schubert

Idrish Huet, Michel Rausch de Traubenberg, Christian Schubert

The Euler-Heisenberg Lagrangian beyond one loop

11 pages, 2 figures, talk given by Christian Schubert at QFEXT11, Benasque, Spain, Sept. 18-24, 2011, to appear in the conference proceedings

null

10.1142/S2010194512007507

null

hep-th

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

We review what is presently known about higher loop corrections to the Euler-Heisenberg Lagrangian and its Scalar QED analogue. The use of those corrections as a tool for the study of the properties of the QED perturbation series is outlined. As a further step in a long-term effort to prove or disprove the convergence of the N photon amplitudes in the quenched approximation, we present a parameter integral representation of the three-loop Euler-Heisenberg Lagrangian in 1+1 dimensional QED, obtained in the worldline formalism.

[ { "created": "Mon, 5 Dec 2011 20:34:36 GMT", "version": "v1" } ]

2015-06-03

[ [ "Huet", "Idrish", "" ], [ "de Traubenberg", "Michel Rausch", "" ], [ "Schubert", "Christian", "" ] ]

We review what is presently known about higher loop corrections to the Euler-Heisenberg Lagrangian and its Scalar QED analogue. The use of those corrections as a tool for the study of the properties of the QED perturbation series is outlined. As a further step in a long-term effort to prove or disprove the convergence of the N photon amplitudes in the quenched approximation, we present a parameter integral representation of the three-loop Euler-Heisenberg Lagrangian in 1+1 dimensional QED, obtained in the worldline formalism.

10.503116

8.947452

9.553977

8.709064

9.156497

9.276534

9.147164

9.046988

8.439209

9.874846

8.835953

9.379991

9.462525

9.243169

9.470162

9.424584

9.120391

9.370069

9.175298

9.523459

9.330123

1607.04205

Toshiaki Fujimori

Toshiaki Fujimori, Syo Kamata, Tatsuhiro Misumi, Muneto Nitta, Norisuke Sakai

Non-perturbative Contributions from Complexified Solutions in $\mathbb{C}P^{N-1}$ Models

49 pages, 10 figures; Corrected Fig.4 and Fig.5

Phys. Rev. D 94, 105002 (2016)

10.1103/PhysRevD.94.105002

null

hep-th

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

We discuss the non-perturbative contributions from real and complex saddle point solutions in the $\mathbb{C}P^1$ quantum mechanics with fermionic degrees of freedom, using the Lefschetz thimble formalism beyond the gaussian approximation. We find bion solutions, which correspond to (complexified) instanton-antiinstanton configurations stabilized in the presence of the fermionic degrees of freedom. By computing the one-loop determinants in the bion backgrounds, we obtain the leading order contributions from both the real and complex bion solutions. To incorporate quasi zero modes which become nearly massless in a weak coupling limit, we regard the bion solutions as well-separated instanton-antiinstanton configurations and calculate a complexified quasi moduli integral based on the Lefschetz thimble formalism. The non-perturbative contributions from the real and complex bions are shown to cancel out in the supersymmetric case and give an (expected) ambiguity in the non-supersymmetric case, which plays a vital role in the resurgent trans-series. For nearly supersymmetric situation, evaluation of the Lefschetz thimble gives results in precise agreement with those of the direct evaluation of the Schr\"odinger equation. We also perform the same analysis for the sine-Gordon quantum mechanics and point out some important differences showing that the sine-Gordon quantum mechanics does not correctly describe the 1d limit of the $\mathbb{C}P^{N-1}$ field theory of $\mathbb{R} \times S^1$.

[ { "created": "Thu, 14 Jul 2016 16:52:21 GMT", "version": "v1" }, { "created": "Fri, 15 Jul 2016 16:29:48 GMT", "version": "v2" } ]

2016-11-09

[ [ "Fujimori", "Toshiaki", "" ], [ "Kamata", "Syo", "" ], [ "Misumi", "Tatsuhiro", "" ], [ "Nitta", "Muneto", "" ], [ "Sakai", "Norisuke", "" ] ]

We discuss the non-perturbative contributions from real and complex saddle point solutions in the $\mathbb{C}P^1$ quantum mechanics with fermionic degrees of freedom, using the Lefschetz thimble formalism beyond the gaussian approximation. We find bion solutions, which correspond to (complexified) instanton-antiinstanton configurations stabilized in the presence of the fermionic degrees of freedom. By computing the one-loop determinants in the bion backgrounds, we obtain the leading order contributions from both the real and complex bion solutions. To incorporate quasi zero modes which become nearly massless in a weak coupling limit, we regard the bion solutions as well-separated instanton-antiinstanton configurations and calculate a complexified quasi moduli integral based on the Lefschetz thimble formalism. The non-perturbative contributions from the real and complex bions are shown to cancel out in the supersymmetric case and give an (expected) ambiguity in the non-supersymmetric case, which plays a vital role in the resurgent trans-series. For nearly supersymmetric situation, evaluation of the Lefschetz thimble gives results in precise agreement with those of the direct evaluation of the Schr\"odinger equation. We also perform the same analysis for the sine-Gordon quantum mechanics and point out some important differences showing that the sine-Gordon quantum mechanics does not correctly describe the 1d limit of the $\mathbb{C}P^{N-1}$ field theory of $\mathbb{R} \times S^1$.

7.314614

7.220535

8.042503

6.982922

7.562432

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7.578531

6.842846

6.695988

8.397436

6.814752

6.796119

7.438121

6.947714

7.084501

7.068089

6.905703

6.899812

6.888884

7.433216

6.883455

0708.0632

Mikhail Shifman

M. Shifman

Some Theoretical Developments in SUSY

20 pages. Plenary Talk at the 15th International Conference on Supersymmetry and the Unification of Fundamental Interactions SUSY 07, Karlsruhe, Germany, July 26 - August 1, 2007. Submitted for the SUSY07 proceedings

null

FTPI-MINN-07/24, UMN-TH-2613/07

hep-th hep-ph

null

I review theoretical developments of the last year or so in nonperturbative supersymmetry. Topics: (i) Metastable vacua at strong coupling; (ii) Non-Abelian flux tubes, confined monopoles; (iii) One step beyond Seiberg's duality; (iv) Planar equivalence; (v) Multileg/multiloop amplitudes; (vi) N= (2,0) sigma model on the string worldsheet.

[ { "created": "Sat, 4 Aug 2007 15:16:52 GMT", "version": "v1" } ]

2007-08-07

[ [ "Shifman", "M.", "" ] ]

I review theoretical developments of the last year or so in nonperturbative supersymmetry. Topics: (i) Metastable vacua at strong coupling; (ii) Non-Abelian flux tubes, confined monopoles; (iii) One step beyond Seiberg's duality; (iv) Planar equivalence; (v) Multileg/multiloop amplitudes; (vi) N= (2,0) sigma model on the string worldsheet.

7.956088

7.599876

7.928797

7.103421

7.483899

8.107005

7.243167

7.634596

7.50364

7.917967

8.118271

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7.225818

7.163842

7.333152

7.587773

7.296893

7.473282

7.057209

7.256125

7.849199

1312.0053

Kei-Ichi Kondo

Stability of magnetic condensation and mass generation for confinement in SU(2) Yang-Mills theory

12 pages, no figures; Talk given at the QCD-TNT-III-From quarks and gluons to hadronic matter: A bridge too far? 2-6 September, 2013, European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT*), Villazzano, Trento (Italy)

null

CHIBA-EP-203

hep-th hep-ph

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

In the framework of the functional renormalization group, we reexamine the stability of the Yang-Mills vacuum with a chromomagnetic condensation. We show that the Nielsen-Olesen instability of the Savvidy vacuum with a homogeneous chromomagnetic condensation disappears in the $SU(2)$ Yang-Mills theory. As a physical mechanism for maintaining the stability even for the small infrared cutoff, we argue that dynamical gluon mass generation occurs due to a BRST-invariant vacuum condensate of mass dimension-two, which is related to two-gluon bound states identified with glueballs. These results support the dual superconductor picture for quark confinement.

[ { "created": "Sat, 30 Nov 2013 02:55:30 GMT", "version": "v1" } ]

2013-12-03

[ [ "Kondo", "Kei-Ichi", "" ] ]

In the framework of the functional renormalization group, we reexamine the stability of the Yang-Mills vacuum with a chromomagnetic condensation. We show that the Nielsen-Olesen instability of the Savvidy vacuum with a homogeneous chromomagnetic condensation disappears in the $SU(2)$ Yang-Mills theory. As a physical mechanism for maintaining the stability even for the small infrared cutoff, we argue that dynamical gluon mass generation occurs due to a BRST-invariant vacuum condensate of mass dimension-two, which is related to two-gluon bound states identified with glueballs. These results support the dual superconductor picture for quark confinement.

7.698657

6.544291

8.204278

6.581812

6.585325

6.602418

6.230262

6.253482

6.794704

8.81781

6.967966

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7.521568

7.545221

7.018505

7.16242

7.348216

7.448822

7.328933

7.826769

7.345712

1608.07753

Pavel Putrov

Abhijit Gadde, Pavel Putrov

Exact solutions of (0,2) Landau-Ginzburg models

18 pages, 1 figure

null

hep-th

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

In this paper we study the low energy physics of Landau-Ginzburg models with N=(0,2) supersymmetry. We exhibit a number of classes of relatively simple LG models where the conformal field theory at the low energy fixed point can be explicitly identified. One interesting class of fixed points can be thought of as "heterotic" minimal models. Other examples include N=(0,2) renormalization group flows that end up at N=(2,2) minimal models and models with non-abelian symmetry.

[ { "created": "Sun, 28 Aug 2016 00:30:06 GMT", "version": "v1" } ]

2016-08-30

[ [ "Gadde", "Abhijit", "" ], [ "Putrov", "Pavel", "" ] ]

In this paper we study the low energy physics of Landau-Ginzburg models with N=(0,2) supersymmetry. We exhibit a number of classes of relatively simple LG models where the conformal field theory at the low energy fixed point can be explicitly identified. One interesting class of fixed points can be thought of as "heterotic" minimal models. Other examples include N=(0,2) renormalization group flows that end up at N=(2,2) minimal models and models with non-abelian symmetry.

6.815343

6.07629

7.685574

6.542191

6.168215

6.515832

6.029247

6.32149

6.208067

7.806203

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6.354848

7.152427

6.332032

6.545306

6.682856

6.571154

6.339222

6.280328

7.048339

6.287819

hep-th/9810057

Jose Francisco Gomes

J.F.Gomes, F.E. Mendon\c{c}a da Silveira, G.M. Sotkov and A.H. Zimerman

Singular Non-Abelian Toda Theories

Latex, 12 pages

null

hep-th

null

The algebraic conditions that specific gauged G/H-WZW model have to satisfy in order to give rise to Non-Abelian Toda models with singular metric with or without torsion are found. The classical algebras of symmetries corresponding to grade one rank 2 and 3 singular NA-Toda models are derived.

[ { "created": "Thu, 8 Oct 1998 11:56:22 GMT", "version": "v1" } ]

2016-09-06

[ [ "Gomes", "J. F.", "" ], [ "da Silveira", "F. E. Mendonça", "" ], [ "Sotkov", "G. M.", "" ], [ "Zimerman", "A. H.", "" ] ]

The algebraic conditions that specific gauged G/H-WZW model have to satisfy in order to give rise to Non-Abelian Toda models with singular metric with or without torsion are found. The classical algebras of symmetries corresponding to grade one rank 2 and 3 singular NA-Toda models are derived.

22.408409

20.776783

21.763268

18.389147

18.919424

18.807852

20.37126

21.491034

19.156096

23.67915

18.902205

19.761028

22.051897

19.615116

18.909075

19.202852

18.6455

19.624147

18.901291

21.24608

18.061697

hep-th/9910131

Carlo Rovelli

The century of the incomplete revolution: searching for general relativistic quantum field theory

To appear in the Journal of Mathematical Physics 2000 Special Issue

J.Math.Phys.41:3776-3800,2000

10.1063/1.533327

null

hep-th gr-qc

null

In fundamental physics, this has been the century of quantum mechanics and general relativity. It has also been the century of the long search for a conceptual framework capable of embracing the astonishing features of the world that have been revealed by these two ``first pieces of a conceptual revolution''. I discuss the general requirements on the mathematics and some specific developments towards the construction of such a framework. Examples of covariant constructions of (simple) generally relativistic quantum field theories have been obtained as topological quantum field theories, in nonperturbative zero-dimensional string theory and its higher dimensional generalizations, and as spin foam models. A canonical construction of a general relativistic quantum field theory is provided by loop quantum gravity. Remarkably, all these diverse approaches have turn out to be related, suggesting an intriguing general picture of general relativistic quantum physics.

[ { "created": "Sun, 17 Oct 1999 19:43:18 GMT", "version": "v1" } ]

2014-11-18

[ [ "Rovelli", "Carlo", "" ] ]

In fundamental physics, this has been the century of quantum mechanics and general relativity. It has also been the century of the long search for a conceptual framework capable of embracing the astonishing features of the world that have been revealed by these two ``first pieces of a conceptual revolution''. I discuss the general requirements on the mathematics and some specific developments towards the construction of such a framework. Examples of covariant constructions of (simple) generally relativistic quantum field theories have been obtained as topological quantum field theories, in nonperturbative zero-dimensional string theory and its higher dimensional generalizations, and as spin foam models. A canonical construction of a general relativistic quantum field theory is provided by loop quantum gravity. Remarkably, all these diverse approaches have turn out to be related, suggesting an intriguing general picture of general relativistic quantum physics.

13.207166

15.378285

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13.407094

15.132812

14.381521

15.215118

13.609325

13.497552

15.172681

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12.922179

12.998202

12.639524

13.024948

12.392084

12.652261

12.537764

12.543151

12.977588

13.202191

1711.06365

Shu Lin

Si-wen Li and Shu Lin

D-instantons in Real Time Dynamics

29 pages, 3 figures. Added computation details and Sec 4.3 on the justification of analytic continuation. Main results not changed. To appear in PRD

Phys. Rev. D 98, 066002 (2018)

10.1103/PhysRevD.98.066002

null

hep-th hep-ph nucl-th

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

Instanton is known to exist in Euclidean spacetime only. Their role in real time dynamics is usually understood as tunneling effect by Wick rotation. We illustrate other effects of instanton in holography by investigating 5d effective gravity theory of the black D3-brane-D-instanton system. The supergravity description of the D3-brane-D-instanton system is dual to the super Yang-Mills theory with topological excitations of the vacuum. We obtain Euclidean correlators in the presence of instantons by analyzing of the fluctuations of the bulk fields in the 5d effective theory. Furthermore, analytic continuation of Euclidean correlators leads to retarded correlators, which characterize real time dynamics. We find interestingly real time fluctuations of topological charge can destroy instantons and the lifetime of instanton is set by temperature. This implies instanton contribution to "real time dynamics" is suppressed at high temperature, which is analogous to classic field theory results that instanton contribution to "thermodynamics" is suppressed at high temperature.

[ { "created": "Fri, 17 Nov 2017 01:15:15 GMT", "version": "v1" }, { "created": "Sat, 8 Sep 2018 09:41:33 GMT", "version": "v2" } ]

2018-09-19

[ [ "Li", "Si-wen", "" ], [ "Lin", "Shu", "" ] ]

Instanton is known to exist in Euclidean spacetime only. Their role in real time dynamics is usually understood as tunneling effect by Wick rotation. We illustrate other effects of instanton in holography by investigating 5d effective gravity theory of the black D3-brane-D-instanton system. The supergravity description of the D3-brane-D-instanton system is dual to the super Yang-Mills theory with topological excitations of the vacuum. We obtain Euclidean correlators in the presence of instantons by analyzing of the fluctuations of the bulk fields in the 5d effective theory. Furthermore, analytic continuation of Euclidean correlators leads to retarded correlators, which characterize real time dynamics. We find interestingly real time fluctuations of topological charge can destroy instantons and the lifetime of instanton is set by temperature. This implies instanton contribution to "real time dynamics" is suppressed at high temperature, which is analogous to classic field theory results that instanton contribution to "thermodynamics" is suppressed at high temperature.

10.490262

10.979553

11.0653

10.338333

11.098205

10.810019

11.000791

10.695221

10.385921

12.118443

10.388612

10.195904

10.389052

10.024427

9.980361

10.350223

10.134309

10.198351

10.293597

9.972786

10.190848

2306.03077

Marcos A Anacleto

M. A. Anacleto, F. A. Brito and E. Passos

Modified metrics of acoustic black holes: A review

17 pages, 2 figures. arXiv admin note: text overlap with arXiv:2212.13850, arXiv:2112.13573

Phys Sci & Biophys J 2023, 7(1): 000245

10.23880/psbj-16000245

null

hep-th

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

In this brief review, we will address acoustic black holes arising from quantum field theory in the Lorentz-violating and non-commutative background. Thus, we consider canonical acoustic black holes with effective metrics for the purpose of investigating Hawking radiation and entropy. We show that due to the generalized uncertainty principle and the modified dispersion relation, the Hawking temperature is regularized, that is, free from the singularity when the horizon radius goes to zero. In addition, we also find logarithmic corrections in the leading order for entropy.

[ { "created": "Mon, 5 Jun 2023 17:53:13 GMT", "version": "v1" } ]

2023-06-12

[ [ "Anacleto", "M. A.", "" ], [ "Brito", "F. A.", "" ], [ "Passos", "E.", "" ] ]

In this brief review, we will address acoustic black holes arising from quantum field theory in the Lorentz-violating and non-commutative background. Thus, we consider canonical acoustic black holes with effective metrics for the purpose of investigating Hawking radiation and entropy. We show that due to the generalized uncertainty principle and the modified dispersion relation, the Hawking temperature is regularized, that is, free from the singularity when the horizon radius goes to zero. In addition, we also find logarithmic corrections in the leading order for entropy.

11.438423

10.171836

9.066554

9.363747

10.311195

9.683428

10.508265

9.815493

9.868495

9.569858

9.764532

10.358394

9.775074

9.716621

10.606602

9.744975

10.025262

10.037632

10.027277

9.690154

10.329242

hep-th/9510036

Lukas Nellen

Myriam Mondragon, Lukas Nellen, Michael G. Schmidt, Christian Schubert

Axial Couplings on the World-Line

12 pages, LaTeX 2e with array and epsf packages, Postscript figures. Submitted to Phys. Lett. B. Minor corrections, fixed a number of typos

Phys.Lett. B366 (1996) 212-219

10.1016/0370-2693(95)01392-X

IASSNS-HEP-95/74, HD-THEP-95-43, HUB-EP-95/17

hep-th hep-ph

null

We construct a world-line representation for the fermionic one-loop effective action with axial and also vector, scalar, and pseudo-scalar couplings. We use this expression to compute a few selected scattering amplitudes. These allow us to verify that our method yields the same results as standard field theory. In particular, we are able to reproduce the chiral anomaly. Our starting point is the second-order formulation for the Dirac fermion. We translate the second order expressions into a world-line action.

[ { "created": "Sun, 8 Oct 1995 22:59:35 GMT", "version": "v1" }, { "created": "Mon, 16 Oct 1995 23:24:17 GMT", "version": "v2" } ]

2009-10-28

[ [ "Mondragon", "Myriam", "" ], [ "Nellen", "Lukas", "" ], [ "Schmidt", "Michael G.", "" ], [ "Schubert", "Christian", "" ] ]

We construct a world-line representation for the fermionic one-loop effective action with axial and also vector, scalar, and pseudo-scalar couplings. We use this expression to compute a few selected scattering amplitudes. These allow us to verify that our method yields the same results as standard field theory. In particular, we are able to reproduce the chiral anomaly. Our starting point is the second-order formulation for the Dirac fermion. We translate the second order expressions into a world-line action.

10.399875

9.60294

9.335635

9.172629

9.012629

9.031266

8.858602

9.210724

8.62982

9.298732

8.913577

9.330628

9.029482

9.17851

9.12941

9.121813

9.855944

9.127548

9.400514

9.381443

9.272864

1312.5740

Eric Perlmutter

Comments on Renyi entropy in AdS$_3$/CFT$_2$

41 pages. v3: various minor clarifications; added Subsection 4.3 including a result on the entanglement limit; added refs

null

10.1007/JHEP05(2014)052

null

hep-th

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

We extend and refine recent results on Renyi entropy in two-dimensional conformal field theories at large central charge. To do so, we examine the effects of higher spin symmetry and of allowing unequal left and right central charges, at leading and subleading order in large total central charge. The result is a straightforward generalization of previously derived formulae, supported by both gravity and CFT arguments. The preceding statements pertain to CFTs in the ground state, or on a circle at unequal left- and right-moving temperatures. For the case of two short intervals in a CFT ground state, we derive certain universal contributions to Renyi and entanglement entropy from Virasoro primaries of arbitrary scaling weights, to leading and next-to-leading order in the interval size; this result applies to any CFT. When these primaries are higher spin currents, such terms are placed in one-to-one correspondence with terms in the bulk 1-loop determinants for higher spin gauge fields propagating on handlebody geometries.

[ { "created": "Thu, 19 Dec 2013 20:59:06 GMT", "version": "v1" }, { "created": "Tue, 24 Dec 2013 20:05:16 GMT", "version": "v2" }, { "created": "Wed, 19 Mar 2014 20:10:06 GMT", "version": "v3" } ]

2015-06-18

[ [ "Perlmutter", "Eric", "" ] ]

We extend and refine recent results on Renyi entropy in two-dimensional conformal field theories at large central charge. To do so, we examine the effects of higher spin symmetry and of allowing unequal left and right central charges, at leading and subleading order in large total central charge. The result is a straightforward generalization of previously derived formulae, supported by both gravity and CFT arguments. The preceding statements pertain to CFTs in the ground state, or on a circle at unequal left- and right-moving temperatures. For the case of two short intervals in a CFT ground state, we derive certain universal contributions to Renyi and entanglement entropy from Virasoro primaries of arbitrary scaling weights, to leading and next-to-leading order in the interval size; this result applies to any CFT. When these primaries are higher spin currents, such terms are placed in one-to-one correspondence with terms in the bulk 1-loop determinants for higher spin gauge fields propagating on handlebody geometries.

11.151315

10.239519

13.354586

10.539564

11.167771

11.839504

10.714391

11.055425

10.082724

14.169971

10.486856

10.320879

11.146118

10.588878

10.645566

10.719131

10.483242

10.750668

10.461065

11.382474

10.765598

1610.07189

Frederico Santos

R. Casana, M. M. Ferreira Jr, F. E. P. dos Santos

Gupta-Bleuler's quantization of a parity-odd CPT-even electrodynamics of the standard model extension

null

10.1103/PhysRevD.94.125011

null

hep-th

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

{Following a successfully quantization scheme previously }{{% developed {\ in Ref. \cite{GUPTAEVEN} for a}} parity-even {gauge sector} {of the SME, we}} have established the Gupta-Bleuler {% quantization {of a} {\ parity-odd} and CPT-even }electrodynamics of {the }standard model extension (SME) {without recoursing to a small photon mass regulator}. {Keeping the photons massless,} {% {we have adopted the gauge fixing condition:}} $G(A_{\mu })=(\partial _{0}+\kappa^{0j}\partial _{j}) (A_{0}+\kappa ^{0k}A_{k})+\partial _{i}A^{i}$% . The{\ four} polarization vectors of the gauge field are {% exactly} determined by solving an eigenvalue problem,{\ exhibiting birefringent second order contributions in the Lorentz-violating parameters}% . They allow to express the Hamiltonian in terms of annihilation and creation operators whose positivity is guaranteed by imposing a weak Gupta-Bleuler constraint, defining the physical states. Consequently, we compute the field commutation relation which has been expressed in terms of Pauli-Jordan functions modified by Lorentz violation whose light-cone structures have allowed to analyze the microcausality issue.

[ { "created": "Sun, 23 Oct 2016 16:10:15 GMT", "version": "v1" } ]

2017-01-04

[ [ "Casana", "R.", "" ], [ "Ferreira", "M. M.", "Jr" ], [ "Santos", "F. E. P. dos", "" ] ]

{Following a successfully quantization scheme previously }{{% developed {\ in Ref. \cite{GUPTAEVEN} for a}} parity-even {gauge sector} {of the SME, we}} have established the Gupta-Bleuler {% quantization {of a} {\ parity-odd} and CPT-even }electrodynamics of {the }standard model extension (SME) {without recoursing to a small photon mass regulator}. {Keeping the photons massless,} {% {we have adopted the gauge fixing condition:}} $G(A_{\mu })=(\partial _{0}+\kappa^{0j}\partial _{j}) (A_{0}+\kappa ^{0k}A_{k})+\partial _{i}A^{i}$% . The{\ four} polarization vectors of the gauge field are {% exactly} determined by solving an eigenvalue problem,{\ exhibiting birefringent second order contributions in the Lorentz-violating parameters}% . They allow to express the Hamiltonian in terms of annihilation and creation operators whose positivity is guaranteed by imposing a weak Gupta-Bleuler constraint, defining the physical states. Consequently, we compute the field commutation relation which has been expressed in terms of Pauli-Jordan functions modified by Lorentz violation whose light-cone structures have allowed to analyze the microcausality issue.

18.334293

20.256927

18.333603

17.128006

19.295429

17.317429

17.958918

16.93482

17.195749

20.24859

17.252853

16.881468

16.927588

16.184551

16.418245

16.208759

16.64682

16.796165

16.358114

17.489571

16.91782

1310.3854

Hirotaka Hayashi

Hirotaka Hayashi, Hee-Cheol Kim and Takahiro Nishinaka

Topological strings and 5d T_N partition functions

79 pages, 27 figures; v2: minor improvements, references added

null

10.1007/JHEP06(2014)014

IFT-UAM/CSIC-13-101, RUNHETC-2013-22

hep-th

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

We evaluate the Nekrasov partition function of 5d gauge theories engineered by webs of 5-branes, using the refined topological vertex on the dual Calabi-Yau threefolds. The theories include certain non-Lagrangian theories such as the T_N theory. The refined topological vertex computation generically contains contributions from decoupled M2-branes which are not charged under the 5d gauge symmetry engineered. We argue that, after eliminating them, the refined topological string partition function agrees with the 5d Nekrasov partition function. We explicitly check this for the T_3 theory as well as Sp(1) gauge theories with N_f = 2, 3, 4 flavors. In particular, our method leads to a new expression of the Sp(1) Nekrasov partition functions without any contour integrals. We also develop prescriptions to calculate the partition functions of theories obtained by Higgsing the T_N theory. We compute the partition function of the E_7 theory via this prescription, and find the E_7 global symmetry enhancement. We finally discuss a potential application of the refined topological vertex to non-toric web diagrams.

[ { "created": "Mon, 14 Oct 2013 21:06:59 GMT", "version": "v1" }, { "created": "Tue, 6 May 2014 08:47:51 GMT", "version": "v2" } ]

2015-06-17

[ [ "Hayashi", "Hirotaka", "" ], [ "Kim", "Hee-Cheol", "" ], [ "Nishinaka", "Takahiro", "" ] ]

We evaluate the Nekrasov partition function of 5d gauge theories engineered by webs of 5-branes, using the refined topological vertex on the dual Calabi-Yau threefolds. The theories include certain non-Lagrangian theories such as the T_N theory. The refined topological vertex computation generically contains contributions from decoupled M2-branes which are not charged under the 5d gauge symmetry engineered. We argue that, after eliminating them, the refined topological string partition function agrees with the 5d Nekrasov partition function. We explicitly check this for the T_3 theory as well as Sp(1) gauge theories with N_f = 2, 3, 4 flavors. In particular, our method leads to a new expression of the Sp(1) Nekrasov partition functions without any contour integrals. We also develop prescriptions to calculate the partition functions of theories obtained by Higgsing the T_N theory. We compute the partition function of the E_7 theory via this prescription, and find the E_7 global symmetry enhancement. We finally discuss a potential application of the refined topological vertex to non-toric web diagrams.

5.765465

5.667424

7.454947

5.944304

5.68315

5.97065

5.980467

6.008598

5.734547

7.339879

5.747328

5.605781

6.193827

5.704939

5.53394

5.486233

5.813147

5.513672

5.801671

6.234131

5.638064

1308.3352

Pinaki Banerjee

Pinaki Banerjee and B. Sathiapalan

Holographic Brownian Motion in 1+1 Dimensions

39 pages, 4 figures; New discussion on holographic RG in subsection 5.1 and new section 6 on different time scales. Modified discussion on zero temperature dissipation in section 3. Typos corrected , references added. Revised version to appear in Nucl. Phys. B

Nucl. Phys. B 884 (2014) 74 -105

10.1016/j.nuclphysb.2014.04.016

IMSc/2013/08/6

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

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

We study the motion of a stochastic string in the background of a BTZ black hole. In the 1+1 dimensional boundary theory this corresponds to a very heavy external particle (e.g, a quark), interacting with the fields of a CFT at finite temperature, and describing Brownian motion. The equations of motion for a string in the BTZ background can be solved exactly. Thus we can use holographic techniques to obtain the Schwinger-Keldysh Green function for the boundary theory for the force acting on the quark. We write down the generalized Langevin equation describing the motion of the external particle and calculate the drag and the thermal mass shift. Interestingly we obtain dissipation even at zero temperature for this 1+1 system. Even so, this does not violate boost (Lorentz) invariance because the drag force on a constant velocity quark continues to be zero. Furthermore since the Green function is exact, it is possible to write down an effective membrane action, and thus a Langevin equation, located at a "stretched horizon" at an arbitrary finite distance from the horizon.

[ { "created": "Thu, 15 Aug 2013 10:44:16 GMT", "version": "v1" }, { "created": "Wed, 28 Aug 2013 16:09:04 GMT", "version": "v2" }, { "created": "Thu, 17 Apr 2014 14:03:11 GMT", "version": "v3" } ]

2014-05-07

[ [ "Banerjee", "Pinaki", "" ], [ "Sathiapalan", "B.", "" ] ]

We study the motion of a stochastic string in the background of a BTZ black hole. In the 1+1 dimensional boundary theory this corresponds to a very heavy external particle (e.g, a quark), interacting with the fields of a CFT at finite temperature, and describing Brownian motion. The equations of motion for a string in the BTZ background can be solved exactly. Thus we can use holographic techniques to obtain the Schwinger-Keldysh Green function for the boundary theory for the force acting on the quark. We write down the generalized Langevin equation describing the motion of the external particle and calculate the drag and the thermal mass shift. Interestingly we obtain dissipation even at zero temperature for this 1+1 system. Even so, this does not violate boost (Lorentz) invariance because the drag force on a constant velocity quark continues to be zero. Furthermore since the Green function is exact, it is possible to write down an effective membrane action, and thus a Langevin equation, located at a "stretched horizon" at an arbitrary finite distance from the horizon.

9.725227

9.600043

9.805493

9.022415

9.590172

9.63159

8.933394

9.542051

9.568464

11.714013

9.37745

9.308648

9.65088

9.246207

9.190846

9.509416

9.709941

9.375743

9.506805

9.699961

9.466262

hep-th/9605235

Michael Lashkevich

Michael Yu. Lashkevich

Fusion of RSOS Models as a Coset Construction

8 pages, plain TeX, minor mistakes corrected

null

LANDAU-96-TMP-2

hep-th

null

Using the vertex operator approach we show that fusion of the RSOS models can be considered as a kind of coset construction which is very similar to the coset construction of minimal models in conformal field theory. We reproduce the excitation spectrum and $S$-matrix of the fusion RSOS models in the regime III and show that their correlation functions and form factors can be expressed in terms of those of the ordinary (ABF) RSOS models.

[ { "created": "Sun, 2 Jun 1996 19:02:12 GMT", "version": "v1" }, { "created": "Tue, 11 Jun 1996 17:33:26 GMT", "version": "v2" } ]

2008-02-03

[ [ "Lashkevich", "Michael Yu.", "" ] ]

Using the vertex operator approach we show that fusion of the RSOS models can be considered as a kind of coset construction which is very similar to the coset construction of minimal models in conformal field theory. We reproduce the excitation spectrum and $S$-matrix of the fusion RSOS models in the regime III and show that their correlation functions and form factors can be expressed in terms of those of the ordinary (ABF) RSOS models.

9.864463

7.904547

10.181061

7.876362

7.824274

7.705746

8.301679

7.339972

7.514828

10.906795

8.331284

8.190451

10.193681

8.505867

8.405396

8.011704

8.127285

8.257098

8.315204

9.350291

8.224027

1908.02235

Stefan Floerchinger

Real Clifford algebras and their spinors for relativistic fermions

42 pages

null

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

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

Real Clifford algebras for arbitrary number of space and time dimensions as well as their representations in terms of spinors are reviewed and discussed. The Clifford algebras are classified in terms of isomorphic matrix algebras of real, complex or quaternionic type. Spinors are defined as elements of minimal or quasi-minimal left ideals within the Clifford algebra and as representations of the pin and spin groups. Two types of Dirac adjoint spinors are introduced carefully. The relation between mathematical structures and applications to describe relativistic fermions is emphasized throughout.

[ { "created": "Tue, 6 Aug 2019 16:20:47 GMT", "version": "v1" } ]

2019-08-07

[ [ "Floerchinger", "Stefan", "" ] ]

Real Clifford algebras for arbitrary number of space and time dimensions as well as their representations in terms of spinors are reviewed and discussed. The Clifford algebras are classified in terms of isomorphic matrix algebras of real, complex or quaternionic type. Spinors are defined as elements of minimal or quasi-minimal left ideals within the Clifford algebra and as representations of the pin and spin groups. Two types of Dirac adjoint spinors are introduced carefully. The relation between mathematical structures and applications to describe relativistic fermions is emphasized throughout.

4.09587

8.421614

8.13129

7.656407

7.074873

8.023542

7.685034

8.248942

7.791004

8.834879

7.773861

6.20093

6.619739

6.654459

6.642874

5.928956

6.870558

5.971179

6.913809

7.134987

6.005494

hep-th/0004101

Ruth A. W. Gregory

Ruth Gregory

Black string instabilities in anti-de Sitter space

8 pages revtex, 2 figures, published version

Class.Quant.Grav.17:L125-L132,2000

10.1088/0264-9381/17/18/103

DTP/00/31

hep-th

null

We show how to extend the usual black string instability of vacuum or charged black p-branes to the anti-de Sitter background. The string fragments in an analogous fashion to the $\Lambda=0$ case, the main difference being that instead of a periodic array of black holes forming, an accumulation of ``mini'' black holes occurs towards the AdS horizon. In the case where the AdS space is of finite extent, such as an orbifold compactification, we show how the instability switches off below a certain compactification scale.

[ { "created": "Thu, 13 Apr 2000 17:24:57 GMT", "version": "v1" }, { "created": "Mon, 25 Sep 2000 13:35:59 GMT", "version": "v2" } ]

2010-04-06

[ [ "Gregory", "Ruth", "" ] ]

We show how to extend the usual black string instability of vacuum or charged black p-branes to the anti-de Sitter background. The string fragments in an analogous fashion to the $\Lambda=0$ case, the main difference being that instead of a periodic array of black holes forming, an accumulation of ``mini'' black holes occurs towards the AdS horizon. In the case where the AdS space is of finite extent, such as an orbifold compactification, we show how the instability switches off below a certain compactification scale.

12.653491

12.568891

12.116791

11.433869

12.503643

12.935122

12.837577

11.824039

12.259524

12.939867

12.252654

10.926042

10.935042

10.960952

11.203429

11.130283

11.111726

11.446627

11.748711

12.097428

11.334546

1104.0722

Tristan Hubsch

S. J. Gates Jr. and T. Hubsch

On Dimensional Extension of Supersymmetry: From Worldlines to Worldsheets

LaTeX 3 times, added reference, minor edits and typo correction

Adv. in Th. Math. Phys. 16 (2012) 1619-1667

10.4310/ATMP.2012.v16.n6.a2

null

hep-th math-ph math.MP

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

There exist myriads of off-shell worldline supermultiplets for (N{\leq}32)-extended supersymmetry in which every supercharge maps a component field to precisely one other component field or its derivative. A subset of these extends to off-shell worldsheet (p,q)-supersymmetry and is characterized by the twin theorems 2.1 and 2.2 in this note. The evasion of the obstruction defined in these theorems is conjectured to be sufficient for a worldline supermultiplet to extend to worldsheet supersymmetry; it is also a necessary filter for dimensional extension to higher-dimensional spacetime. We show explicitly how to "re-engineer" an Adinkra---if permitted by the twin theorems 2.1 and 2.2---so as to depict an off-shell supermultiplet of worldsheet (p,q)-supersymmetry.

[ { "created": "Tue, 5 Apr 2011 01:50:48 GMT", "version": "v1" }, { "created": "Thu, 21 Apr 2011 16:30:18 GMT", "version": "v2" } ]

2015-03-19

[ [ "Gates", "S. J.", "Jr." ], [ "Hubsch", "T.", "" ] ]

There exist myriads of off-shell worldline supermultiplets for (N{\leq}32)-extended supersymmetry in which every supercharge maps a component field to precisely one other component field or its derivative. A subset of these extends to off-shell worldsheet (p,q)-supersymmetry and is characterized by the twin theorems 2.1 and 2.2 in this note. The evasion of the obstruction defined in these theorems is conjectured to be sufficient for a worldline supermultiplet to extend to worldsheet supersymmetry; it is also a necessary filter for dimensional extension to higher-dimensional spacetime. We show explicitly how to "re-engineer" an Adinkra---if permitted by the twin theorems 2.1 and 2.2---so as to depict an off-shell supermultiplet of worldsheet (p,q)-supersymmetry.

9.309525

10.353577

11.934032

9.716499

11.137405

10.679634

10.381778

9.793736

10.07348

11.59343

9.441508

9.414062

9.324126

9.343

9.527107

9.01911

9.333256

9.243343

9.288022

9.660705

9.099834

hep-th/0606064

J. Manuel Solano-Altamirano

R. Cartas-Fuentevilla and J. M. Solano-Altamirano

Fluctons

null

Int.J.Geom.Meth.Mod.Phys.05:375-386,2008

10.1142/S0219887808002849

null

hep-th

null

From the perspective of topological field theory we explore the physics beyond instantons. We propose the fluctons as nonperturbative topological fluctuations of vacuum, from which the self-dual domain of instantons is attained as a particular case. Invoking the Atiyah-Singer index theorem, we determine the dimension of the corresponding flucton moduli space, which gives the number of degrees of freedom of the fluctons. An important consequence of these results is that the topological phases of vacuum in non-Abelian gauge theories are not necessarily associated with self-dual fields, but only with smooth fields. Fluctons in different scenarios are considered, the basic aspects of the quantum mechanical amplitude for fluctons are discussed, and the case of gravity is discussed briefly.

[ { "created": "Wed, 7 Jun 2006 21:20:19 GMT", "version": "v1" }, { "created": "Wed, 4 Oct 2006 18:32:52 GMT", "version": "v2" }, { "created": "Wed, 4 Oct 2006 21:52:31 GMT", "version": "v3" } ]

2008-11-26

[ [ "Cartas-Fuentevilla", "R.", "" ], [ "Solano-Altamirano", "J. M.", "" ] ]

From the perspective of topological field theory we explore the physics beyond instantons. We propose the fluctons as nonperturbative topological fluctuations of vacuum, from which the self-dual domain of instantons is attained as a particular case. Invoking the Atiyah-Singer index theorem, we determine the dimension of the corresponding flucton moduli space, which gives the number of degrees of freedom of the fluctons. An important consequence of these results is that the topological phases of vacuum in non-Abelian gauge theories are not necessarily associated with self-dual fields, but only with smooth fields. Fluctons in different scenarios are considered, the basic aspects of the quantum mechanical amplitude for fluctons are discussed, and the case of gravity is discussed briefly.

11.530926

12.093232

11.216366

11.035864

12.289971

11.823048

11.125136

12.001122

12.074253

12.870261

11.632824

11.640862

11.181098

11.360321

11.007058

11.351162

10.900142

11.149095

11.166776

10.692829

10.898862

hep-th/9305033

Hovik Toomassian

The Free Field Representation of SU(3) Conformal Field Theory

24 pages, LANDAU-TMP-91-1

Int.J.Mod.Phys. A8 (1993) 4031-4053

10.1142/S0217751X9300165X

null

hep-th

null

(Revised LaTex version).The structure of free field representation and some correlation functions of the SU(3) CFT are considered.

[ { "created": "Sat, 8 May 1993 20:15:26 GMT", "version": "v1" }, { "created": "Thu, 15 Jul 1993 22:41:50 GMT", "version": "v2" } ]

2009-10-22

[ [ "Toomassian", "Hovik", "" ] ]

(Revised LaTex version).The structure of free field representation and some correlation functions of the SU(3) CFT are considered.

38.020832

25.343458

39.184277

21.835371

19.642038

19.810526

19.408579

21.861275

22.619062

50.605312

23.025223

21.696016

27.422333

23.4055

21.483047

20.699211

22.377319

21.499115

20.27375

29.170174

20.908428

hep-th/0607248

Angelos Fotopoulos

A. Fotopoulos, K.L. Panigrahi, M. Tsulaia

On Lagrangian formulation of Higher Spin Theories on AdS

Published Version; minor corrections;added equation (3.83)

Phys.Rev.D74:085029,2006

10.1103/PhysRevD.74.085029

null

hep-th

null

In this short note we present a Lagrangian formulation for free bosonic Higher Spin fields which belong to massless reducible representations of D-dimensional Anti de Sitter group using an ambient space formalism.

[ { "created": "Mon, 31 Jul 2006 14:19:04 GMT", "version": "v1" }, { "created": "Fri, 18 Aug 2006 12:51:29 GMT", "version": "v2" }, { "created": "Tue, 31 Oct 2006 10:28:14 GMT", "version": "v3" } ]

2008-11-26

[ [ "Fotopoulos", "A.", "" ], [ "Panigrahi", "K. L.", "" ], [ "Tsulaia", "M.", "" ] ]

In this short note we present a Lagrangian formulation for free bosonic Higher Spin fields which belong to massless reducible representations of D-dimensional Anti de Sitter group using an ambient space formalism.

15.501544

8.384804

12.500379

9.000793

10.161016

9.783311

8.26093

8.796476

8.51792

12.262719

8.942528

9.594671

11.695844

10.163698

10.211505

9.83152

9.530944

9.38939

9.852277

11.170261

9.474401

hep-th/0212215

Ben Craps

Micha Berkooz, Ben Craps, David Kutasov, Govindan Rajesh

Comments on Cosmological Singularities in String Theory

harvmac, 40 pages; v2: references added

JHEP 0303 (2003) 031

10.1088/1126-6708/2003/03/031

WIS/46/02-DEC-DPP, EFI-02-45

hep-th

null

We compute string scattering amplitudes in an orbifold of Minkowski space by a boost, and show how certain divergences in the four point function are associated with graviton exchange near the singularity. These divergences reflect large tree-level backreaction of the gravitational field. Near the singularity, all excitations behave like massless fields on a 1+1 dimensional cylinder. For excitations that are chiral near the singularity, we show that divergences are avoided and that the backreaction is milder. We discuss the implications of this for some cosmological spacetimes. Finally, in order to gain some intuition about what happens when backreaction is taken into account, we study an open string rolling tachyon background as a toy model that shares some features with R^{1,1}/Z.

[ { "created": "Wed, 18 Dec 2002 15:27:51 GMT", "version": "v1" }, { "created": "Sun, 29 Dec 2002 14:46:19 GMT", "version": "v2" } ]

2009-11-07

[ [ "Berkooz", "Micha", "" ], [ "Craps", "Ben", "" ], [ "Kutasov", "David", "" ], [ "Rajesh", "Govindan", "" ] ]

We compute string scattering amplitudes in an orbifold of Minkowski space by a boost, and show how certain divergences in the four point function are associated with graviton exchange near the singularity. These divergences reflect large tree-level backreaction of the gravitational field. Near the singularity, all excitations behave like massless fields on a 1+1 dimensional cylinder. For excitations that are chiral near the singularity, we show that divergences are avoided and that the backreaction is milder. We discuss the implications of this for some cosmological spacetimes. Finally, in order to gain some intuition about what happens when backreaction is taken into account, we study an open string rolling tachyon background as a toy model that shares some features with R^{1,1}/Z.

9.908308

8.911711

10.82207

8.779346

9.726542

8.837153

9.069433

8.58162

8.918056

10.945364

9.650033

9.277068

9.731513

9.038797

9.34259

9.416574

9.119525

9.063682

9.225396

9.386517

9.112779

0910.0370

Masato Taki

M2-branes Theories without 3+1 Dimensional Parents via Un-Higgsing

60 pages, 52 figures

null

hep-th

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

N=2 quiver Chern-Simons theory has lately attracted attention as the world volume theory of multiple M2 branes on a Calabi-Yau 4-fold. We study the connection between the stringy derivation of M2 brane theories and the forward algorithm which gives the toric Calabi-Yau 4-fold as the moduli space of the quiver theory. Then the existence of the 3+1 dimensional parent, which is the consistent 3+1 dimensional superconformal theory with the same quiver diagram, is crucial for stringy derivation of M2 brane theories. We also investigate the construction of M2 brane theories that do not have 3+1 dimensional parents. The un-Higgsing procedure plays a key role to construct these M2 brane theories. We find some N=2 quiver Chern-Simons theories which correspond to interesting Calabi-Yau singularities.

[ { "created": "Fri, 2 Oct 2009 10:23:57 GMT", "version": "v1" } ]

2009-10-05

[ [ "Taki", "Masato", "" ] ]

N=2 quiver Chern-Simons theory has lately attracted attention as the world volume theory of multiple M2 branes on a Calabi-Yau 4-fold. We study the connection between the stringy derivation of M2 brane theories and the forward algorithm which gives the toric Calabi-Yau 4-fold as the moduli space of the quiver theory. Then the existence of the 3+1 dimensional parent, which is the consistent 3+1 dimensional superconformal theory with the same quiver diagram, is crucial for stringy derivation of M2 brane theories. We also investigate the construction of M2 brane theories that do not have 3+1 dimensional parents. The un-Higgsing procedure plays a key role to construct these M2 brane theories. We find some N=2 quiver Chern-Simons theories which correspond to interesting Calabi-Yau singularities.

6.275123

5.551867

6.58242

5.853036

5.810112

5.641737

5.947546

5.610366

5.759396

7.218086

5.638486

5.716481

6.27259

5.756719

5.830148

5.79237

5.579126

5.92408

5.844965

6.048372

5.811698

hep-th/9811180

Friedemann Brandt

Friedemann Brandt, Ulrich Theis

D=4, N=1 Supersymmetric Henneaux-Knaepen Models

20 pages, uses amsmath.sty

Nucl.Phys. B550 (1999) 495-510

10.1016/S0550-3213(99)00186-8

null

hep-th

null

We construct N=1 supersymmetric versions of four-dimensional Freedman-Townsend models and generalizations thereof found recently by Henneaux and Knaepen, with couplings between 1-form and 2-form gauge potentials. The models are presented both in a superfield formulation with linearly realized supersymmetry and in WZ gauged component form. In the latter formulation the supersymmetry transformations are nonlinear and do not commute with all the gauge transformations. Among others, our construction yields N=1 counterparts of recently found N=2 supersymmetric gauge theories involving vector-tensor multiplets with gauged central charge.

[ { "created": "Thu, 19 Nov 1998 17:09:31 GMT", "version": "v1" } ]

2015-06-26

[ [ "Brandt", "Friedemann", "" ], [ "Theis", "Ulrich", "" ] ]

We construct N=1 supersymmetric versions of four-dimensional Freedman-Townsend models and generalizations thereof found recently by Henneaux and Knaepen, with couplings between 1-form and 2-form gauge potentials. The models are presented both in a superfield formulation with linearly realized supersymmetry and in WZ gauged component form. In the latter formulation the supersymmetry transformations are nonlinear and do not commute with all the gauge transformations. Among others, our construction yields N=1 counterparts of recently found N=2 supersymmetric gauge theories involving vector-tensor multiplets with gauged central charge.

9.132144

7.680401

10.177148

7.753522

7.931716

7.543596

7.763502

7.78934

7.913054

10.235926

7.995005

8.24265

9.289517

8.396084

8.139745

7.802479

8.131935

7.892773

7.959811

8.886755

8.270999

hep-th/0303033

David Berenstein

Solving matrix models using holomorphy

38 pages, JHEP style, 1 figure

JHEP 0306 (2003) 019

10.1088/1126-6708/2003/06/019

null

hep-th

null

We investigate the relationship between supersymmetric gauge theories with moduli spaces and matrix models. Particular attention is given to situations where the moduli space gets quantum corrected. These corrections are controlled by holomorphy. It is argued that these quantum deformations give rise to non-trivial relations for generalized resolvents that must hold in the associated matrix model. These relations allow to solve a sector of the associated matrix model in a similar way to a one-matrix model, by studying a curve that encodes the generalized resolvents. At the level of loop equations for the matrix model, the situations with a moduli space can sometimes be considered as a degeneration of an infinite set of linear equations, and the quantum moduli space encodes the consistency conditions for these equations to have a solution.

[ { "created": "Tue, 4 Mar 2003 23:00:47 GMT", "version": "v1" } ]

2009-11-10

[ [ "Berenstein", "David", "" ] ]

We investigate the relationship between supersymmetric gauge theories with moduli spaces and matrix models. Particular attention is given to situations where the moduli space gets quantum corrected. These corrections are controlled by holomorphy. It is argued that these quantum deformations give rise to non-trivial relations for generalized resolvents that must hold in the associated matrix model. These relations allow to solve a sector of the associated matrix model in a similar way to a one-matrix model, by studying a curve that encodes the generalized resolvents. At the level of loop equations for the matrix model, the situations with a moduli space can sometimes be considered as a degeneration of an infinite set of linear equations, and the quantum moduli space encodes the consistency conditions for these equations to have a solution.

10.010399

9.34827

11.141893

9.224169

10.026796

9.161222

9.552464

9.929076

10.064068

11.744322

9.271111

9.346892

10.115115

9.889314

9.360037

9.547255

9.390815

9.539524

9.502234

10.359052

9.326262

1009.1661

Leo Rodriguez

Bradly K. Button, Leo Rodriguez, Catherine A. Whiting and Tuna Yildirim

A Near Horizon CFT Dual for Kerr-Newman-$AdS$

15 pages. Major edits and revisions. Final version accepted for publication in IJMPA

Int.J.Mod.Phys.A26:3077-3090,2011

10.1142/S0217751X11053663

null

hep-th

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

We show that the near horizon regime of a Kerr-Newman-$AdS$ (KN$AdS$) black hole, given by its two dimensional analogue $a la$ Robinson and Wilczek (2005 Phys. Rev. Lett. 95 011303), is asymptotically $AdS_2$ and dual to a one dimensional quantum conformal field theory (CFT). The s-wave contribution of the resulting CFT's energy-momentum-tensor together with the asymptotic symmetries, generate a centrally extended Virasoro algebra, whose central charge reproduces the Bekenstein-Hawking entropy via Cardy's Formula. Our derived central charge also agrees with the near extremal Kerr/CFT Correspondence (2009 Phys. Rev. D 80, 124008) in the appropriate limits. We also compute the Hawking temperature of the KN$AdS$ black hole by coupling its Robinson and Wilczek two dimensional analogue (RW2DA) to conformal matter.

[ { "created": "Wed, 8 Sep 2010 23:09:04 GMT", "version": "v1" }, { "created": "Wed, 15 Sep 2010 11:40:50 GMT", "version": "v2" }, { "created": "Sat, 28 May 2011 02:05:12 GMT", "version": "v3" } ]

2011-07-20

[ [ "Button", "Bradly K.", "" ], [ "Rodriguez", "Leo", "" ], [ "Whiting", "Catherine A.", "" ], [ "Yildirim", "Tuna", "" ] ]

We show that the near horizon regime of a Kerr-Newman-$AdS$ (KN$AdS$) black hole, given by its two dimensional analogue $a la$ Robinson and Wilczek (2005 Phys. Rev. Lett. 95 011303), is asymptotically $AdS_2$ and dual to a one dimensional quantum conformal field theory (CFT). The s-wave contribution of the resulting CFT's energy-momentum-tensor together with the asymptotic symmetries, generate a centrally extended Virasoro algebra, whose central charge reproduces the Bekenstein-Hawking entropy via Cardy's Formula. Our derived central charge also agrees with the near extremal Kerr/CFT Correspondence (2009 Phys. Rev. D 80, 124008) in the appropriate limits. We also compute the Hawking temperature of the KN$AdS$ black hole by coupling its Robinson and Wilczek two dimensional analogue (RW2DA) to conformal matter.

7.096309

7.441722

8.003348

6.791057

7.0218

7.243983

7.40615

6.692371

6.698504

8.874523

6.641856

6.966859

7.411698

7.033376

7.352149

6.874569

7.295515

7.07978

7.20391

7.531913

7.05934

hep-th/9709007

Emil Yuzbashyan

A. N. Leznov, and E. A. Yuzbashyan

Fine Structure of Matrix Darboux-Toda Integrable Mapping

5 pages, no figures

Phys.Lett. A242 (1998) 31-35

10.1016/S0375-9601(98)00135-2

null

hep-th nlin.SI

null

We show here that matrix Darboux-Toda transformation can be written as a product of a number of mappings. Each of these mappings is a symmetry of the matrix nonlinear Shrodinger system of integro-differential equations. We thus introduce a completely new type of discrete transformations for this system. The discrete symmetry of the vector nonlinear Shrodinger system is a particular realization of these mappings.

[ { "created": "Mon, 1 Sep 1997 10:57:14 GMT", "version": "v1" }, { "created": "Wed, 11 Jun 2003 03:17:04 GMT", "version": "v2" } ]

2009-10-30

[ [ "Leznov", "A. N.", "" ], [ "Yuzbashyan", "E. A.", "" ] ]

We show here that matrix Darboux-Toda transformation can be written as a product of a number of mappings. Each of these mappings is a symmetry of the matrix nonlinear Shrodinger system of integro-differential equations. We thus introduce a completely new type of discrete transformations for this system. The discrete symmetry of the vector nonlinear Shrodinger system is a particular realization of these mappings.

13.521638

13.02794

15.033434

12.924194

11.999715

15.141913

13.418091

11.755155

11.984487

20.49069

11.970143

12.421247

12.354574

12.330415

12.256794

13.134828

12.771209

13.199533

11.986801

13.299782

12.093389

hep-th/0701030

Ying-Qiu Gu

Local Lorentz Transformation and Mass-Energy Relation of Spinor

14 pages, no figure

Physics Essays Vol. 31: 1-6(2018)

null

hep-th

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

In this paper, we strictly establish classical concepts and relations according to a Dirac equation with scalar, vector and nonlinear potentials. To calculate classical parameters for moving spinor, the local Lorentz transformations for parameters are derived. The calculation shows that different kinds of potentials result in different energy-speed relations, and the energy-speed relations for these potentials are derived in detail. The usual mass-energy relation $E = mc^2$ holds only for the linear spinor. The energy-speed relations can be used as fingerprints to identify the interactive potentials of a particle by elaborated experiments. The analysis and results of this paper can also provide some natural explanations for the foundation of quantum mechanics, and clarify some long-standing puzzles in the theory.

[ { "created": "Thu, 4 Jan 2007 15:31:54 GMT", "version": "v1" }, { "created": "Sat, 4 Apr 2009 08:39:12 GMT", "version": "v2" }, { "created": "Tue, 30 May 2017 12:52:52 GMT", "version": "v3" }, { "created": "Mon, 11 Dec 2017 15:47:58 GMT", "version": "v4" } ]

2017-12-27

[ [ "Gu", "Ying-Qiu", "" ] ]

In this paper, we strictly establish classical concepts and relations according to a Dirac equation with scalar, vector and nonlinear potentials. To calculate classical parameters for moving spinor, the local Lorentz transformations for parameters are derived. The calculation shows that different kinds of potentials result in different energy-speed relations, and the energy-speed relations for these potentials are derived in detail. The usual mass-energy relation $E = mc^2$ holds only for the linear spinor. The energy-speed relations can be used as fingerprints to identify the interactive potentials of a particle by elaborated experiments. The analysis and results of this paper can also provide some natural explanations for the foundation of quantum mechanics, and clarify some long-standing puzzles in the theory.

17.294641

17.947447

16.905731

16.621202

17.191965

17.710936

17.695709

18.223938

17.830914

18.990685

17.2834

16.740562

16.157377

16.122435

16.746992

16.34878

16.444124

16.440231

16.595482

16.59474

16.349056

hep-th/9412073

Karen Brewster

Abhay Ashtekar and Jerzy Lewandowski

Differential Geometry on the Space of Connections via Graphs and Projective Limits

Minor corrections have been made. 54 pages, LATEX file, no figures

J.Geom.Phys. 17 (1995) 191-230

10.1016/0393-0440(95)00028-G

CGPG-94/12-4

hep-th gr-qc

null

In a quantum mechanical treatment of gauge theories (including general relativity), one is led to consider a certain completion, $\agb$, of the space $\ag$ of gauge equivalent connections. This space serves as the quantum configuration space, or, as the space of all Euclidean histories over which one must integrate in the quantum theory. $\agb$ is a very large space and serves as a ``universal home'' for measures in theories in which the Wilson loop observables are well-defined. In this paper, $\agb$ is considered as the projective limit of a projective family of compact Hausdorff manifolds, labelled by graphs (which can be regarded as ``floating lattices'' in the physics terminology). Using this characterization, differential geometry is developed through algebraic methods. In particular, we are able to introduce the following notions on $\agb$: differential forms, exterior derivatives, volume forms, vector fields and Lie brackets between them, divergence of a vector field with respect to a volume form, Laplacians and associated heat kernels and heat kernel measures. Thus, although $\agb$ is very large, it is small enough to be mathematically interesting and physically useful. A key feature of this approach is that it does not require a background metric. The geometrical framework is therefore well-suited for diffeomorphism invariant theories such as quantum general relativity.

[ { "created": "Thu, 8 Dec 1994 18:41:47 GMT", "version": "v1" }, { "created": "Mon, 29 Jan 1996 16:50:44 GMT", "version": "v2" } ]

2009-10-28

[ [ "Ashtekar", "Abhay", "" ], [ "Lewandowski", "Jerzy", "" ] ]

In a quantum mechanical treatment of gauge theories (including general relativity), one is led to consider a certain completion, $\agb$, of the space $\ag$ of gauge equivalent connections. This space serves as the quantum configuration space, or, as the space of all Euclidean histories over which one must integrate in the quantum theory. $\agb$ is a very large space and serves as a ``universal home'' for measures in theories in which the Wilson loop observables are well-defined. In this paper, $\agb$ is considered as the projective limit of a projective family of compact Hausdorff manifolds, labelled by graphs (which can be regarded as ``floating lattices'' in the physics terminology). Using this characterization, differential geometry is developed through algebraic methods. In particular, we are able to introduce the following notions on $\agb$: differential forms, exterior derivatives, volume forms, vector fields and Lie brackets between them, divergence of a vector field with respect to a volume form, Laplacians and associated heat kernels and heat kernel measures. Thus, although $\agb$ is very large, it is small enough to be mathematically interesting and physically useful. A key feature of this approach is that it does not require a background metric. The geometrical framework is therefore well-suited for diffeomorphism invariant theories such as quantum general relativity.

8.090426

8.896028

8.78683

7.999505

8.687791

8.68257

8.489303

8.183001

8.099365

8.368371

8.222278

8.206835

8.121037

7.674159

7.918896

7.928644

7.740388

7.686505

7.918537

8.17792

7.830672

2404.19160

Tomohiro Matsuda

How to define the Unruh-DeWitt detector on manifolds

21 pages, 6 figures

null

hep-th gr-qc

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

The vacuum of an accelerating observer is defined on the local inertial frame, which is called a ``moving frame''. However, in the discussion of the Unruh-deWitt detector, many papers define the vacuum on a fixed frame. This paper discusses the Unruh-deWitt detector by defining the vacuum directly on the local inertial frame, showing that the problem of the Stokes phenomenon can be solved by using the exact WKB.

[ { "created": "Mon, 29 Apr 2024 23:50:02 GMT", "version": "v1" } ]

2024-05-01

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

The vacuum of an accelerating observer is defined on the local inertial frame, which is called a ``moving frame''. However, in the discussion of the Unruh-deWitt detector, many papers define the vacuum on a fixed frame. This paper discusses the Unruh-deWitt detector by defining the vacuum directly on the local inertial frame, showing that the problem of the Stokes phenomenon can be solved by using the exact WKB.

12.301446

10.869791

12.028369

11.426893

12.014102

14.38305

12.822258

11.541276

12.383484

13.096893

10.914807

10.969728

11.005638

11.082324

11.245512

10.735735

10.940464

11.069002

11.355557

10.919643

11.112224

1304.5946

Jeong-Hyuck Park

Comments on double field theory and diffeomorphisms

1+34 pages; A minute change of the title from "diffeomorphism" to "diffeomorphisms". To appear in JHEP

JHEP 1306 (2013) 098

10.1007/JHEP06(2013)098

DAMTP-2013-30

hep-th math-ph math.MP

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

As the theory is subject to a section condition, coordinates in double field theory do not represent physical points in an injective manner. We argue that a physical point should be rather one-to-one identified with a `gauge orbit' in the coordinate space. The diffeomorphism symmetry then implies an invariance under arbitrary reparametrizations of the gauge orbits. Within this generalized sense of diffeomorphism, we show that a recently proposed tensorial transformation rule for finite coordinate transformations is actually (i) consistent with the standard exponential map, and further (ii) compatible with the full covariance of the `semi-covariant' derivatives and curvatures after projectors are properly imposed.

[ { "created": "Mon, 22 Apr 2013 13:30:33 GMT", "version": "v1" }, { "created": "Sat, 8 Jun 2013 08:56:50 GMT", "version": "v2" } ]

2013-07-05

[ [ "Park", "Jeong-Hyuck", "" ] ]

As the theory is subject to a section condition, coordinates in double field theory do not represent physical points in an injective manner. We argue that a physical point should be rather one-to-one identified with a `gauge orbit' in the coordinate space. The diffeomorphism symmetry then implies an invariance under arbitrary reparametrizations of the gauge orbits. Within this generalized sense of diffeomorphism, we show that a recently proposed tensorial transformation rule for finite coordinate transformations is actually (i) consistent with the standard exponential map, and further (ii) compatible with the full covariance of the `semi-covariant' derivatives and curvatures after projectors are properly imposed.

15.392348

15.563974

15.395681

13.000262

14.77553

14.818358

14.339179

13.400371

13.650299

15.964396

13.021257

12.39336

12.81856

12.611779

12.253326

12.424878

12.870515

12.327329

12.667841

12.206111

12.694508

hep-th/9210077

Harnad John

J. Harnad and M.-A. Wisse

Isospectral flow in Loop Algebras and Quasiperiodic Solutions of the Sine-Gordon Equation

12 pgs

J.Math.Phys. 34 (1993) 3518-3526

10.1063/1.530041

Univ. de Montr\'eal preprint, CRM-1831

hep-th

null

The sine-Gordon equation is considered in the hamiltonian framework provided by the Adler-Kostant-Symes theorem. The phase space, a finite dimensional coadjoint orbit in the dual space $\grg^*$ of a loop algebra $\grg$, is parametrized by a finite dimensional symplectic vector space $W$ embedded into $\grg^*$ by a moment map. Real quasiperiodic solutions are computed in terms of theta functions using a Liouville generating function which generates a canonical transformation to linear coordinates on the Jacobi variety of a suitable hyperelliptic curve.

[ { "created": "Wed, 14 Oct 1992 17:30:03 GMT", "version": "v1" } ]

2009-10-22

[ [ "Harnad", "J.", "" ], [ "Wisse", "M. -A.", "" ] ]

The sine-Gordon equation is considered in the hamiltonian framework provided by the Adler-Kostant-Symes theorem. The phase space, a finite dimensional coadjoint orbit in the dual space $\grg^*$ of a loop algebra $\grg$, is parametrized by a finite dimensional symplectic vector space $W$ embedded into $\grg^*$ by a moment map. Real quasiperiodic solutions are computed in terms of theta functions using a Liouville generating function which generates a canonical transformation to linear coordinates on the Jacobi variety of a suitable hyperelliptic curve.

8.04469

8.385671

9.734701

8.421472

8.320772

9.071332

7.912841

7.593026

7.187212

9.676945

8.272234

7.807549

7.981794

7.664993

7.863648

7.732169

7.910305

7.695976

7.701966

7.943008

7.720281

hep-th/0701181

Fabio Pascoal

F. Pascoal, L.F.A. Oliveira, F.S.S. Rosa and C. Farina

Estimative for the size of the compactification radius of a one extra dimension Universe

null

Braz.J.Phys.38:581-586,2008

10.1590/S0103-97332008000500009

null

hep-th

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

In this work, we use the Casimir effect to probe the existence of one extra dimension. We begin by evaluating the Casimir pressure between two plates in a $M^4\times S^1$ manifold, and then use an appropriate statistical analysis in order to compare the theoretical expression with a recent experimental data and set bounds for the compactification radius.

[ { "created": "Fri, 19 Jan 2007 13:41:00 GMT", "version": "v1" }, { "created": "Wed, 21 Mar 2007 19:35:01 GMT", "version": "v2" }, { "created": "Mon, 22 Sep 2008 12:49:25 GMT", "version": "v3" } ]

2011-08-31

[ [ "Pascoal", "F.", "" ], [ "Oliveira", "L. F. A.", "" ], [ "Rosa", "F. S. S.", "" ], [ "Farina", "C.", "" ] ]

In this work, we use the Casimir effect to probe the existence of one extra dimension. We begin by evaluating the Casimir pressure between two plates in a $M^4\times S^1$ manifold, and then use an appropriate statistical analysis in order to compare the theoretical expression with a recent experimental data and set bounds for the compactification radius.

9.43503

6.722819

7.37369

7.172029

7.964456

7.759518

7.668241

7.945018

7.178642

7.839931

7.874729

8.1758

7.578239

7.450668

7.820973

7.984661

7.871877

7.605376

7.853351

7.433948

8.014833

1208.3373

Antonio Padilla

Edmund J. Copeland, Antonio Padilla and Paul M. Saffin

The cosmology of the Fab-Four

Stability analysis corrected. New matter dominated solution with stable cosmological perturbations added

null

10.1088/1475-7516/2012/12/026

null

hep-th astro-ph.CO gr-qc

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

We have recently proposed a novel self tuning mechanism to alleviate the famous cosmological constant problem, based on the general scalar tensor theory proposed by Horndeski. The self-tuning model ends up consisting of four geometric terms in the action, with each term containing a free potential function of the scalar field; the four together being labeled as the Fab-Four. In this paper we begin the important task of deriving the cosmology associated with the Fab-Four Lagrangian. Performing a phase plane analysis of the system we are able to obtain a number of fixed points for the system, with some remarkable new solutions emerging from the trade-off between the various potentials. As well as obtaining inflationary solutions we also find conventional radiation/matter-like solutions, but in regimes where the energy density is dominated by a cosmological constant, and where we do not have any explicit forms of radiation or matter. Stability conditions for matter solutions are obtained and we show how it is possible for there to exist an extended period of `matter domination' opening up the possibility that we can generate cosmological structures, and recover a consistent cosmology even in the presence of a large cosmological constant.

[ { "created": "Thu, 16 Aug 2012 13:57:06 GMT", "version": "v1" }, { "created": "Fri, 20 Dec 2013 16:19:02 GMT", "version": "v2" } ]

2015-06-11

[ [ "Copeland", "Edmund J.", "" ], [ "Padilla", "Antonio", "" ], [ "Saffin", "Paul M.", "" ] ]

We have recently proposed a novel self tuning mechanism to alleviate the famous cosmological constant problem, based on the general scalar tensor theory proposed by Horndeski. The self-tuning model ends up consisting of four geometric terms in the action, with each term containing a free potential function of the scalar field; the four together being labeled as the Fab-Four. In this paper we begin the important task of deriving the cosmology associated with the Fab-Four Lagrangian. Performing a phase plane analysis of the system we are able to obtain a number of fixed points for the system, with some remarkable new solutions emerging from the trade-off between the various potentials. As well as obtaining inflationary solutions we also find conventional radiation/matter-like solutions, but in regimes where the energy density is dominated by a cosmological constant, and where we do not have any explicit forms of radiation or matter. Stability conditions for matter solutions are obtained and we show how it is possible for there to exist an extended period of `matter domination' opening up the possibility that we can generate cosmological structures, and recover a consistent cosmology even in the presence of a large cosmological constant.

12.82879

11.631087

11.645891

10.897265

12.867346

12.434198

12.427962

11.405388

11.813412

12.756781

11.479256

11.82713

11.218424

11.311373

11.462912

11.525451

11.916214

11.543414

11.833302

12.051333

11.552188

hep-th/9302126

Gary Horowitz

Gary T. Horowitz and Dean L. Welch

Exact Three Dimensional Black Holes in String Theory

11 pages, NSF-ITP-93-21, harvmac

Phys.Rev.Lett.71:328-331,1993

10.1103/PhysRevLett.71.328

null

hep-th gr-qc

null

A black hole solution to three dimensional general relativity with a negative cosmological constant has recently been found. We show that a slight modification of this solution yields an exact solution to string theory. This black hole is equivalent (under duality) to the previously discussed three dimensional black string solution. Since the black string is asymptotically flat and the black hole is asymptotically anti-de Sitter, this suggests that strings are not affected by a negative cosmological constant in three dimensions.

[ { "created": "Fri, 26 Feb 1993 00:37:00 GMT", "version": "v1" } ]

2010-11-01

[ [ "Horowitz", "Gary T.", "" ], [ "Welch", "Dean L.", "" ] ]

A black hole solution to three dimensional general relativity with a negative cosmological constant has recently been found. We show that a slight modification of this solution yields an exact solution to string theory. This black hole is equivalent (under duality) to the previously discussed three dimensional black string solution. Since the black string is asymptotically flat and the black hole is asymptotically anti-de Sitter, this suggests that strings are not affected by a negative cosmological constant in three dimensions.

6.15757

5.296936

5.524553

5.126821

5.376768

5.428207

5.737778

5.369968

5.314282

5.733684

5.392654

5.877566

5.615334

5.41779

5.82046

5.570912

5.647195

5.459831

5.573109

5.517776

5.506243

hep-th/9210022

Judy Mack

C. R. Hagen

Comment on Gauge-Independent Analysis of Chern-Simons Theory with Matter Coupling

4 pages

Phys.Rev.Lett. 70 (1993) 3518

10.1103/PhysRevLett.70.3518

UR-1280

hep-th

null

It is shown that a recently proposed relativistic field theory of anyons is mathematically flawed and also does not satisfy reasonable criteria for such a theory.

[ { "created": "Mon, 5 Oct 1992 16:37:00 GMT", "version": "v1" } ]

2009-10-22

[ [ "Hagen", "C. R.", "" ] ]

It is shown that a recently proposed relativistic field theory of anyons is mathematically flawed and also does not satisfy reasonable criteria for such a theory.

15.530787

8.794071

12.601028

10.682247

9.21276

10.300289

9.994687

10.705841

11.228926

13.03963

11.119756

12.049685

13.079453

11.190755

11.494871

12.002876

11.258585

12.006571

11.63261

12.568563

11.105404

1610.07790

Komeil Babaei Velni

Komeil Babaei Velni and H. Babaei-Aghbolagh

On SL(2;R) symmetry in nonlinear electrodynamics theories

14 pages; V2: an appendix is added, final version to appear in Nuclear Physics B

Nucl.Phys. B913 (2016) 987-1000

null

hep-th

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

Recently, it has been observed that the Noether-Gaillard-Zumino (NGZ) identity holds order by order in $\alpha'$ expansion in nonlinear electrodynamics theories as Born-Infeld (BI) and Bossard-Nicolai (BN). The nonlinear electrodynamics theory that couples to an axion field is invariant under the $SL(2,R)$ duality in all orders of $\alpha'$ expansion in the Einstein frame. In this paper we show that there are the $SL(2,R)$ invariant forms of the energy momentum tensors of axion-nonlinear electrodynamics theories in the Einstein frame. These $SL(2,R)$ invariant structures appear in the energy momentum tensors of BI and BN theories at all orders of $\alpha'$ expansion. The $SL(2,R)$ symmetry appears in the BI and BN Lagrangians as a multiplication of Maxwell Lagrangian and a series of $SL(2,R)$ invariant structures.

[ { "created": "Tue, 25 Oct 2016 08:52:40 GMT", "version": "v1" }, { "created": "Sat, 24 Dec 2016 08:43:24 GMT", "version": "v2" } ]

2016-12-28

[ [ "Velni", "Komeil Babaei", "" ], [ "Babaei-Aghbolagh", "H.", "" ] ]

Recently, it has been observed that the Noether-Gaillard-Zumino (NGZ) identity holds order by order in $\alpha'$ expansion in nonlinear electrodynamics theories as Born-Infeld (BI) and Bossard-Nicolai (BN). The nonlinear electrodynamics theory that couples to an axion field is invariant under the $SL(2,R)$ duality in all orders of $\alpha'$ expansion in the Einstein frame. In this paper we show that there are the $SL(2,R)$ invariant forms of the energy momentum tensors of axion-nonlinear electrodynamics theories in the Einstein frame. These $SL(2,R)$ invariant structures appear in the energy momentum tensors of BI and BN theories at all orders of $\alpha'$ expansion. The $SL(2,R)$ symmetry appears in the BI and BN Lagrangians as a multiplication of Maxwell Lagrangian and a series of $SL(2,R)$ invariant structures.

6.183702

6.525479

6.960817

5.642049

5.701256

5.687324

5.865417

5.587735

5.475247

7.241233

5.651168

5.847524

6.050272

5.490988

5.592063

5.72145

5.787803

5.797787

5.638912

6.098704

5.84748

1405.5290

Arash Arabi Ardehali

Arash Arabi Ardehali, Leopoldo A. Pando Zayas

On Exactly Marginal Deformations Dual to $B$-Field Moduli of IIB Theory on SE$_5$

28 pages, JHEP style. v2: minor corrections, added references and acknowledgements. v3: a number of speculative comments regarding the application of the Konishi anomaly equation to our problem are removed. v4: the proposal in Eq. (2.4) added back as a conjecture

JHEP 2014 (9), 164

10.1007/JHEP09(2014)164

MCTP-14-14

hep-th

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

The complex dimension of the space of exactly marginal deformations for quiver CFTs dual to IIB theory compactified on $Y^{p,q}$ is known to be generically three. Simple general formulas already exist for two of the exactly marginal directions in the space of couplings, one of which corresponds to the sum of the (inverse squared of) gauge couplings, and the other to the $\beta$-deformation. Here we identify the third exactly marginal direction, which is dual to the modulus $\int B_{2}$ on the gravity side. This identification leads to a relation between the field theory gauge couplings and the vacuum expectation value of the gravity modulus that we further support by a computation related to the chiral anomaly induced by added fractional branes. We also present a simple algorithm for finding similar exactly marginal directions in any CFT described by brane tiling, and demonstrate it for the quiver CFTs dual to IIB theory compactified on $L^{1,5,2}$ and the Suspended Pinch Point.

[ { "created": "Wed, 21 May 2014 03:45:55 GMT", "version": "v1" }, { "created": "Mon, 26 May 2014 03:32:28 GMT", "version": "v2" }, { "created": "Sun, 15 Jun 2014 01:19:40 GMT", "version": "v3" }, { "created": "Thu, 31 Jul 2014 20:05:55 GMT", "version": "v4" } ]

2015-06-12

[ [ "Ardehali", "Arash Arabi", "" ], [ "Zayas", "Leopoldo A. Pando", "" ] ]

The complex dimension of the space of exactly marginal deformations for quiver CFTs dual to IIB theory compactified on $Y^{p,q}$ is known to be generically three. Simple general formulas already exist for two of the exactly marginal directions in the space of couplings, one of which corresponds to the sum of the (inverse squared of) gauge couplings, and the other to the $\beta$-deformation. Here we identify the third exactly marginal direction, which is dual to the modulus $\int B_{2}$ on the gravity side. This identification leads to a relation between the field theory gauge couplings and the vacuum expectation value of the gravity modulus that we further support by a computation related to the chiral anomaly induced by added fractional branes. We also present a simple algorithm for finding similar exactly marginal directions in any CFT described by brane tiling, and demonstrate it for the quiver CFTs dual to IIB theory compactified on $L^{1,5,2}$ and the Suspended Pinch Point.

10.628606

9.949659

12.039399

9.487783

10.301637

9.936203

10.007511

9.805051

9.655468

12.753257

9.135732

10.058607

11.07702

9.798003

9.846035

9.91067

10.046055

9.701872

9.725924

10.722415

9.674998

hep-th/9803087

Witold Skiba

Gustavo Dotti, Aneesh V. Manohar, and Witold Skiba (UC, San Diego)

Supersymmetric gauge theories with a free algebra of invariants

19 pages, Section 2.1 extended, references added

Nucl.Phys. B531 (1998) 507-524

10.1016/S0550-3213(98)00523-9

UCSD/PTH 98-09

hep-th

null

We study the low-energy dynamics of all N=1 supersymmetric gauge theories whose basic gauge invariant fields are unconstrained. This set includes all theories whose matter Dynkin index is less than the index of the adjoint representation. We study the dynamically generated superpotential in these theories, and show that there is a W=0 branch if and only if anomaly matching is satisfied at the origin. An interesting example studied in detail is SO(13) with a spinor, a theory with a dynamically generated W and no anomaly matching at the origin. It flows via the Higgs mechanism to SU(6) with a three-index antisymmetric tensor, a theory with a W=0 branch and anomaly matching at the origin.

[ { "created": "Wed, 11 Mar 1998 02:23:40 GMT", "version": "v1" }, { "created": "Sat, 29 Aug 1998 23:58:08 GMT", "version": "v2" } ]

2009-10-31

[ [ "Dotti", "Gustavo", "", "UC, San Diego" ], [ "Manohar", "Aneesh V.", "", "UC, San Diego" ], [ "Skiba", "Witold", "", "UC, San Diego" ] ]

We study the low-energy dynamics of all N=1 supersymmetric gauge theories whose basic gauge invariant fields are unconstrained. This set includes all theories whose matter Dynkin index is less than the index of the adjoint representation. We study the dynamically generated superpotential in these theories, and show that there is a W=0 branch if and only if anomaly matching is satisfied at the origin. An interesting example studied in detail is SO(13) with a spinor, a theory with a dynamically generated W and no anomaly matching at the origin. It flows via the Higgs mechanism to SU(6) with a three-index antisymmetric tensor, a theory with a W=0 branch and anomaly matching at the origin.

8.34546

7.968146

8.121249

7.318877

7.988303

8.172622

7.994112

7.887852

7.789273

9.177543

7.625042

7.608809

8.245131

8.04756

7.760669

8.16394

7.745155

7.856471

7.66715

8.498647

7.739923

hep-th/9803010

Levon Mardoyan

L.G. Mardoyan, A.N. Sissakian, V.M. Ter--Antonyan

Hidden Symmetry of the Yang--Coulomb System

6 pages, LaTeX file

null

10.1142/S0217732399001395

null

hep-th

null

The bound system composed of the Yang monopole coupled to a particle of the isospin by the SU(2) and Coulomb interaction is considered. The generalized Runge--Lenz vector and the SO(6) group of hidden symmetry are established. It is also shown that the group of hidden symmetry make it possible to calculate the spectrum of the system by a pure algebraic method.

[ { "created": "Mon, 2 Mar 1998 14:15:49 GMT", "version": "v1" } ]

2009-10-31

[ [ "Mardoyan", "L. G.", "" ], [ "Sissakian", "A. N.", "" ], [ "Ter--Antonyan", "V. M.", "" ] ]

The bound system composed of the Yang monopole coupled to a particle of the isospin by the SU(2) and Coulomb interaction is considered. The generalized Runge--Lenz vector and the SO(6) group of hidden symmetry are established. It is also shown that the group of hidden symmetry make it possible to calculate the spectrum of the system by a pure algebraic method.

12.513482

10.026823

12.493893

9.88184

10.362257

9.428704

9.496606

10.651814

10.161254

11.77976

9.902482

10.600983

11.754373

11.199838

10.993908

11.033427

11.510391

10.872663

11.185374

11.364799

10.934477

hep-th/9903032

Gravity Research Group

A. Burinskii

Spinning Particle as a Non-trivial Rotating Super Black Hole with Broken N=2 Supersymmetry

28 pages, LaTeX, invited talk at the Second International Symposium on Frontiers of Fundamental Physics (Hyderabad, December 30, 1998 - January 1, 1999). In this version the Introduction and Conclusion are extended, and one new section is added containing the self-consistent super-Kerr-Newman solutions to broken N=2 supergravity

Class.Quant.Grav.16:3497-3516,1999

10.1088/0264-9381/16/11/305

null

hep-th gr-qc quant-ph

null

Non-trivial supergeneralization of the Kerr-Newman solution is considered as representing a combined model of the Kerr-Newman spinning particle and superparticle. We show that the old problem of obtaining non-trivial super black hole solutions can be resolved in supergravity broken by Goldstone fermion. Non-linear realization of broken N=2 supersymmetry specific for the Kerr geometry is considered and some examples of the super-Kerr geometries generated by Goldstone fermion are analyzed. The resulting geometries acquire torsion, Rarita-Schwinger field and extra wave contributions to metric and electromagnetic field caused by Grassmann variables. One family of the self-consistent super-Kerr-Newman solutions to broken N=2 supergravity is selected, and peculiarities of these solutions are discussed. In particular, the appearance of extra `axial' singular line and traveling waves concentrated near `axial' and ring-like singularities.

[ { "created": "Wed, 3 Mar 1999 12:31:26 GMT", "version": "v1" }, { "created": "Tue, 27 Apr 1999 13:09:43 GMT", "version": "v2" } ]

2010-11-19

[ [ "Burinskii", "A.", "" ] ]

Non-trivial supergeneralization of the Kerr-Newman solution is considered as representing a combined model of the Kerr-Newman spinning particle and superparticle. We show that the old problem of obtaining non-trivial super black hole solutions can be resolved in supergravity broken by Goldstone fermion. Non-linear realization of broken N=2 supersymmetry specific for the Kerr geometry is considered and some examples of the super-Kerr geometries generated by Goldstone fermion are analyzed. The resulting geometries acquire torsion, Rarita-Schwinger field and extra wave contributions to metric and electromagnetic field caused by Grassmann variables. One family of the self-consistent super-Kerr-Newman solutions to broken N=2 supergravity is selected, and peculiarities of these solutions are discussed. In particular, the appearance of extra `axial' singular line and traveling waves concentrated near `axial' and ring-like singularities.

15.62128

13.356859

15.631425

13.854997

13.989004

14.934495

13.669159

12.811969

13.875582

16.129442

13.558895

13.910182

14.639911

14.006816

13.778949

13.912251

14.093807

13.896005

14.331565

14.439305

14.045034

hep-th/9603090

Andrei Linde

Sergio Ferrara and Renata Kallosh

Universality of Sypersymmetric Attractors

few misprints removed, version to appear in Phys. Rev. 20 pages, 1 figure

Phys. Rev. D 54, 1525 (1996)

10.1103/PhysRevD.54.1525

CERN-TH/96-66, SU-ITP-96-10

hep-th

null

The macroscopic entropy-area formula for supersymmetric black holes in N=2,4,8 theories is found to be universal: in d=4 it is always given by the square of the largest of the central charges extremized in the moduli space. The proof of universality is based on the fact that the doubling of unbroken supersymmetry near the black hole horizon requires that all central charges other than Z=M vanish at the attractor point for N=4,8. The ADM mass at the extremum can be computed in terms of duality symmetric quartic invariants which are moduli independent. The extension of these results for d=5, N=1,2,4 is also reported. A duality symmetric expression for the energy of the ground state with spontaneous breaking of supersymmetry is provided by the power 1/2 (2/3) of the black hole area of the horizon in d=4 (d=5). It is suggested that the universal duality symmetric formula for the energy of the ground state in supersymmetric gravity is given by the modulus of the maximal central charge at the attractor point in any supersymmetric theory in any dimension.

[ { "created": "Thu, 14 Mar 1996 06:42:48 GMT", "version": "v1" }, { "created": "Mon, 10 Jun 1996 00:03:24 GMT", "version": "v2" } ]

2016-08-24

[ [ "Ferrara", "Sergio", "" ], [ "Kallosh", "Renata", "" ] ]

The macroscopic entropy-area formula for supersymmetric black holes in N=2,4,8 theories is found to be universal: in d=4 it is always given by the square of the largest of the central charges extremized in the moduli space. The proof of universality is based on the fact that the doubling of unbroken supersymmetry near the black hole horizon requires that all central charges other than Z=M vanish at the attractor point for N=4,8. The ADM mass at the extremum can be computed in terms of duality symmetric quartic invariants which are moduli independent. The extension of these results for d=5, N=1,2,4 is also reported. A duality symmetric expression for the energy of the ground state with spontaneous breaking of supersymmetry is provided by the power 1/2 (2/3) of the black hole area of the horizon in d=4 (d=5). It is suggested that the universal duality symmetric formula for the energy of the ground state in supersymmetric gravity is given by the modulus of the maximal central charge at the attractor point in any supersymmetric theory in any dimension.

9.279402

9.673098

10.532968

8.887774

9.848078

10.527592

10.32966

8.893563

9.006427

10.017542

8.809913

9.461916

9.515113

8.881565

9.134583

9.132734

9.125804

9.421514

8.974596

9.710283

8.88904

hep-th/0603117

Tom Steele

V. Elias, T.G. Steele

Massless Scalar Field Propagator in a Quantized Space-Time

6 pages, 1 eps figure embedded in manuscript

Int.J.Mod.Phys.E16:51-58,2007

10.1142/S0218301307004886

null

hep-th

null

We consider in detail the analytic behaviour of the non-interacting massless scalar field two-point function in H.S. Snyder's discretized non-commuting spacetime. The propagator we find is purely real on the Euclidean side of the complex $p^2$ plane and goes like $1/p^2$ as $p^2\to 0$ from either the Euclidean or Minkowski side. The real part of the propagator goes smoothly to zero as $p^2$ increases to the discretization scale $1/a^2$ and remains zero for $p^2>1/a^2$. This behaviour is consistent with the termination of single-particle propagation on the ultraviolet side of the discretization scale. The imaginary part of the propagator, consistent with a multiparticle-production branch discontinuity, is finite and continuous on the Minkowski side, slowly falling to zero when $1/a^2<p^2<\infty$. Finally, we argue that the spectral function for the multiparticle states appears to saturate as $p^2$ probes just beyond the $1/a^2$ discretization scale. We speculate on the cosmological consequences of such a spectral function.

[ { "created": "Tue, 14 Mar 2006 22:04:31 GMT", "version": "v1" } ]

2008-11-26

[ [ "Elias", "V.", "" ], [ "Steele", "T. G.", "" ] ]

We consider in detail the analytic behaviour of the non-interacting massless scalar field two-point function in H.S. Snyder's discretized non-commuting spacetime. The propagator we find is purely real on the Euclidean side of the complex $p^2$ plane and goes like $1/p^2$ as $p^2\to 0$ from either the Euclidean or Minkowski side. The real part of the propagator goes smoothly to zero as $p^2$ increases to the discretization scale $1/a^2$ and remains zero for $p^2>1/a^2$. This behaviour is consistent with the termination of single-particle propagation on the ultraviolet side of the discretization scale. The imaginary part of the propagator, consistent with a multiparticle-production branch discontinuity, is finite and continuous on the Minkowski side, slowly falling to zero when $1/a^2<p^2<\infty$. Finally, we argue that the spectral function for the multiparticle states appears to saturate as $p^2$ probes just beyond the $1/a^2$ discretization scale. We speculate on the cosmological consequences of such a spectral function.

6.96216

7.481189

7.403555

7.216794

7.836495

7.532361

7.626595

7.352414

7.235402

7.917944

7.152507

6.963326

6.778633

6.871907

7.007047

6.902411

7.052535

6.69933

6.91105

7.011459

6.652681

hep-th/9403198

Nathan Seiberg

K. Intriligator, R.G. Leigh and N. Seiberg

Exact Superpotentials in Four Dimensions

32 pages, RU-94-26

Phys.Rev.D50:1092-1104,1994

10.1103/PhysRevD.50.1092

null

hep-th hep-ph

null

Supersymmetric gauge theories in four dimensions can display interesting non-perturbative phenomena. Although the superpotential dynamically generated by these phenomena can be highly nontrivial, it can often be exactly determined. We discuss some general techniques for analyzing the Wilsonian superpotential and demonstrate them with simple but non-trivial examples.

[ { "created": "Thu, 31 Mar 1994 19:38:18 GMT", "version": "v1" } ]

2009-09-15

[ [ "Intriligator", "K.", "" ], [ "Leigh", "R. G.", "" ], [ "Seiberg", "N.", "" ] ]

Supersymmetric gauge theories in four dimensions can display interesting non-perturbative phenomena. Although the superpotential dynamically generated by these phenomena can be highly nontrivial, it can often be exactly determined. We discuss some general techniques for analyzing the Wilsonian superpotential and demonstrate them with simple but non-trivial examples.

10.582016

8.630385

10.478241

8.777604

8.993827

8.572306

8.630583

8.821957

9.388459

10.51869

8.372636

8.757263

10.042247

8.831873

8.932432

9.002069

8.603891

8.688346

9.016232

10.246286

8.732634

hep-th/9507128

Brzezinski Tomasz

Tomasz Brzezinski and Jacob Katriel

Representation-theoretic derivation of the Temperley-Lieb-Martin algebras

12 pages, LaTeX, to appear in J. Phys. A

J.Phys. A28 (1995) 5305-5312

10.1088/0305-4470/28/18/019

null

hep-th

null

Explicit expressions for the Temperley-Lieb-Martin algebras, i.e., the quotients of the Hecke algebra that admit only representations corresponding to Young diagrams with a given maximum number of columns (or rows), are obtained, making explicit use of the Hecke algebra representation theory. Similar techniques are used to construct the algebras whose representations do not contain rectangular subdiagrams of a given size.

[ { "created": "Tue, 25 Jul 1995 08:19:30 GMT", "version": "v1" } ]

2016-09-06

[ [ "Brzezinski", "Tomasz", "" ], [ "Katriel", "Jacob", "" ] ]

Explicit expressions for the Temperley-Lieb-Martin algebras, i.e., the quotients of the Hecke algebra that admit only representations corresponding to Young diagrams with a given maximum number of columns (or rows), are obtained, making explicit use of the Hecke algebra representation theory. Similar techniques are used to construct the algebras whose representations do not contain rectangular subdiagrams of a given size.

9.33412

9.077004

10.320082

8.121312

8.749753

8.687474

8.532963

8.261636

10.339402

12.146204

8.61441

8.944519

9.105076

8.743601

8.560472

8.534222

8.996305

8.666695

8.686289

9.847336

8.541532

1309.5160

Lakshya Bhardwaj

Lakshya Bhardwaj and Yuji Tachikawa

Classification of 4d N=2 gauge theories

46 pages, v2: Corrected typos along with a typo reported by A. Sciarappa and updated the list of known Seiberg-Witten solutions, v3: Corrected a typo reported by G. Zafrir and updated the list of known Seiberg-Witten solutions

null

10.1007/JHEP12(2013)100

IPMU-13-0179, UT-13-33

hep-th

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

We classify all possible four-dimensional N=2 supersymmetric UV-complete gauge theories composed of semi-simple gauge groups and hypermultiplets. We also give appropriate references for all theories with known Seiberg-Witten solutions.

[ { "created": "Fri, 20 Sep 2013 03:20:51 GMT", "version": "v1" }, { "created": "Sat, 8 Jul 2017 22:50:00 GMT", "version": "v2" }, { "created": "Thu, 30 May 2019 20:33:24 GMT", "version": "v3" } ]

2019-06-03

[ [ "Bhardwaj", "Lakshya", "" ], [ "Tachikawa", "Yuji", "" ] ]

We classify all possible four-dimensional N=2 supersymmetric UV-complete gauge theories composed of semi-simple gauge groups and hypermultiplets. We also give appropriate references for all theories with known Seiberg-Witten solutions.

16.808477

15.720053

14.144739

15.325859

13.002219

13.034395

13.983409

12.162354

11.390146

16.583393

12.64453

14.117948

13.043812

13.378165

13.121475

13.338402

12.863143

12.450974

13.042981

14.362948

12.640618