LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/0703018

Voja Radovanovic

Dusko Latas, Voja Radovanovic and Josip Trampetic

Non-commutative SU(N) gauge theories and asymptotic freedom

16 pages, no figures

Phys.Rev.D76:085006,2007

10.1103/PhysRevD.76.085006

null

hep-th

null

In this paper we analyze the one-loop renormalization of the $\theta$-expanded $\rm SU(N)$ Yang-Mills theory. We show that the {\it freedom parameter} $a$, key to renormalization, originates from higher order non-commutative gauge interaction, represented by a higher derivative term $ b h \theta^{\mu\nu}\hat F_{\mu\nu}\star\hat F_{\rho\sigma}\star\hat F^{\rho\sigma}$. The renormalization condition fixes the allowed values of the parameter $a$ to one of the two solutions: $a=1$ or $a=3$, i.e. to $b=0$ or to $b=1/2$, respectively. When the higher order interaction is switched on, ($a=3$), pure non-commutative SU(N) gauge theory at first order in $\theta$-expansion becomes one-loop renormalizable for various representations of the gauge group. We also show that, in the case $a=3$ and the adjoint representation of the gauge fields, the non-commutative deformation parameter $h$ has to be renormalized and it is asymptotically free.

[ { "created": "Fri, 2 Mar 2007 10:01:40 GMT", "version": "v1" }, { "created": "Sat, 21 Apr 2007 14:33:23 GMT", "version": "v2" } ]

2008-11-26

[ [ "Latas", "Dusko", "" ], [ "Radovanovic", "Voja", "" ], [ "Trampetic", "Josip", "" ] ]

In this paper we analyze the one-loop renormalization of the $\theta$-expanded $\rm SU(N)$ Yang-Mills theory. We show that the {\it freedom parameter} $a$, key to renormalization, originates from higher order non-commutative gauge interaction, represented by a higher derivative term $ b h \theta^{\mu\nu}\hat F_{\mu\nu}\star\hat F_{\rho\sigma}\star\hat F^{\rho\sigma}$. The renormalization condition fixes the allowed values of the parameter $a$ to one of the two solutions: $a=1$ or $a=3$, i.e. to $b=0$ or to $b=1/2$, respectively. When the higher order interaction is switched on, ($a=3$), pure non-commutative SU(N) gauge theory at first order in $\theta$-expansion becomes one-loop renormalizable for various representations of the gauge group. We also show that, in the case $a=3$ and the adjoint representation of the gauge fields, the non-commutative deformation parameter $h$ has to be renormalized and it is asymptotically free.

6.233776

6.5281

6.422888

5.83285

6.249457

5.99952

6.040088

6.085397

5.725836

6.251058

5.805078

5.841558

6.029087

5.871886

5.922267

5.835401

5.866621

5.809708

5.823256

6.356679

5.861869

1307.5340

Carlos M. Reyes

Unitarity in higher-order Lorentz-invariance violating QED

7 pages, 2 figures, to appear in Phys. Rev.D

Phys.Rev.D87:125028,2013

10.1103/PhysRevD.87.125028

null

hep-th hep-ph

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

The unitarity in Lorentz invariance violating QED consisting of standard fermions and higher-order photons of the Myers-Pospelov theory is studied. We find ghost states associated to the higher-order character of the theory which could render the $S$ matrix nonunitary. An explicit calculation to check perturbative unitarity in the process of electron-positron scattering is performed and it is found to be possible to preserve unitarity.

[ { "created": "Fri, 19 Jul 2013 21:21:59 GMT", "version": "v1" } ]

2013-07-24

[ [ "Reyes", "Carlos M.", "" ] ]

The unitarity in Lorentz invariance violating QED consisting of standard fermions and higher-order photons of the Myers-Pospelov theory is studied. We find ghost states associated to the higher-order character of the theory which could render the $S$ matrix nonunitary. An explicit calculation to check perturbative unitarity in the process of electron-positron scattering is performed and it is found to be possible to preserve unitarity.

12.265336

10.227688

10.691292

10.814138

10.686232

9.179654

10.228734

9.532081

10.283606

10.389956

10.89598

10.933367

10.703313

10.480437

10.784269

10.559676

11.165468

10.546163

9.923997

10.372935

10.726728

hep-th/9910141

Helmut Kroger

H. Jirari, H. Kr\"oger, X.Q. Luo, K.J.M. Moriarty, and S.G. Rubin

Closed Path Integrals and Renormalisation in Quantum Mechanics

Revised text, 1 figure added; Text (LaTeX file), 1 Figure (ps file)

Phys.Rev.Lett. 86 (2001) 187-191

10.1103/PhysRevLett.86.187

null

hep-th quant-ph

null

We suggest a closed form expression for the path integral of quantum transition amplitudes. We introduce a quantum action with renormalized parameters. We present numerical results for the $V \sim x^{4}$ potential. The renormalized action is relevant for quantum chaos and quantum instantons.

[ { "created": "Mon, 18 Oct 1999 13:50:02 GMT", "version": "v1" }, { "created": "Thu, 13 Apr 2000 15:14:18 GMT", "version": "v2" } ]

2016-08-15

[ [ "Jirari", "H.", "" ], [ "Kröger", "H.", "" ], [ "Luo", "X. Q.", "" ], [ "Moriarty", "K. J. M.", "" ], [ "Rubin", "S. G.", "" ] ]

We suggest a closed form expression for the path integral of quantum transition amplitudes. We introduce a quantum action with renormalized parameters. We present numerical results for the $V \sim x^{4}$ potential. The renormalized action is relevant for quantum chaos and quantum instantons.

14.869636

15.47014

16.239618

14.383815

14.345386

13.783724

15.462086

13.549843

15.102294

16.126225

13.955578

14.884132

16.146656

15.252892

15.207139

14.659676

15.199495

14.775974

15.537334

16.26903

14.036539

1811.04040

Sebastian Waeber

Quasinormal modes of magnetic black branes at finite 't Hooft coupling

33 pages, corrected typos, included cautionary remark in section 3.6

null

10.1007/JHEP08(2019)006

null

hep-th

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

The aim of this work is to extend the knowledge about Quasinormal Modes (QNMs) and the equilibration of strongly coupled systems, specifically of a quark gluon plasma (which we consider to be in a strong magnetic background field) by using the duality between $\mathcal{N}=4$ Super Yang-Mills (SYM) theory and type IIb Super Gravity (SUGRA) and including higher derivative corrections. The behaviour of the equilibrating system can be seen as the response of the system to tiny excitations. A quark gluon plasma in a strong magnetic background field, as produced for very short times during an actual heavy ion collision, is described holographically by certain metric solutions to $5\text{D}$ Einstein-Maxwell-(Chern-Simons) theory, which can be obtained from type IIb SUGRA. We are going to compute higher derivative corrections to this metric and consider $\alpha'^3$ corrections to tensor-quasinormal modes in this background geometry. We find indications for a strong influence of the magnetic background field on the equilibration behaviour also and especially when we include higher derivative corrections.

[ { "created": "Fri, 9 Nov 2018 17:44:21 GMT", "version": "v1" }, { "created": "Tue, 20 Nov 2018 09:06:57 GMT", "version": "v2" }, { "created": "Thu, 29 Nov 2018 10:57:08 GMT", "version": "v3" } ]

2019-08-06

[ [ "Waeber", "Sebastian", "" ] ]

The aim of this work is to extend the knowledge about Quasinormal Modes (QNMs) and the equilibration of strongly coupled systems, specifically of a quark gluon plasma (which we consider to be in a strong magnetic background field) by using the duality between $\mathcal{N}=4$ Super Yang-Mills (SYM) theory and type IIb Super Gravity (SUGRA) and including higher derivative corrections. The behaviour of the equilibrating system can be seen as the response of the system to tiny excitations. A quark gluon plasma in a strong magnetic background field, as produced for very short times during an actual heavy ion collision, is described holographically by certain metric solutions to $5\text{D}$ Einstein-Maxwell-(Chern-Simons) theory, which can be obtained from type IIb SUGRA. We are going to compute higher derivative corrections to this metric and consider $\alpha'^3$ corrections to tensor-quasinormal modes in this background geometry. We find indications for a strong influence of the magnetic background field on the equilibration behaviour also and especially when we include higher derivative corrections.

8.251693

8.176719

8.470238

8.311945

7.788953

8.707156

8.386045

7.875168

8.410419

9.132225

7.783087

7.643362

7.932768

7.640769

8.049263

8.035489

7.81502

7.871416

7.959518

8.082629

7.673922

2207.01665

Alexander Belavin

A. Artemev and A. Belavin

Five-point correlation numbers in minimal Liouville gravity and matrix models

null

10.1016/j.nuclphysb.2022.116019

null

hep-th

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

In this article, we will show how to use Zamolodchikov's higher equations of motion in Liouville field theory to explicitly calculate $N$-point correlation numbers in minimal Liouville gravity for $N>4$. We find the explicit expression for the 5-point correlation numbers and compare it with calculations in the one-matrix models.

[ { "created": "Mon, 4 Jul 2022 18:32:07 GMT", "version": "v1" } ]

2022-11-30

[ [ "Artemev", "A.", "" ], [ "Belavin", "A.", "" ] ]

In this article, we will show how to use Zamolodchikov's higher equations of motion in Liouville field theory to explicitly calculate $N$-point correlation numbers in minimal Liouville gravity for $N>4$. We find the explicit expression for the 5-point correlation numbers and compare it with calculations in the one-matrix models.

8.78655

6.233779

7.921544

7.111348

7.082876

6.050848

6.388185

6.373348

7.064982

9.5794

7.036181

7.65305

7.757588

7.692773

7.437703

7.197147

7.542016

7.141624

7.608343

7.604702

7.357052

1811.12653

Yi-Jian Du

Linghui Hou, Yi-Jian Du

A graphic approach to gauge invariance induced identity

75 pages, 35figures, 4 tables

null

10.1007/JHEP05(2019)012

null

hep-th

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

All tree-level amplitudes in Einstein-Yang-Mills (EYM) theory and gravity (GR) can be expanded in terms of color ordered Yang-Mills (YM) ones whose coefficients are polynomial functions of Lorentz inner products and are constructed by a graphic rule. Once the gauge invariance condition of any graviton is imposed, the expansion of a tree level EYM or gravity amplitude induces a nontrivial identity between color ordered YM amplitudes. Being different from traditional Kleiss-Kuijf (KK) and Bern-Carrasco-Johansson (BCJ) relations, the gauge invariance induced identity includes polarizations in the coefficients. In this paper, we investigate the relationship between the gauge invariance induced identity and traditional BCJ relations. By proposing a refined graphic rule, we prove that all the gauge invariance induced identities for single trace tree-level EYM amplitudes can be precisely expanded in terms of traditional BCJ relations, without referring any property of polarizations. When further considering the transversality of polarizations and momentum conservation, we prove that the gauge invariance induced identity for tree-level GR (or pure YM) amplitudes can also be expanded in terms of traditional BCJ relations for YM (or bi-scalar) amplitudes. As a byproduct, a graph-based BCJ relation is proposed and proved.

[ { "created": "Fri, 30 Nov 2018 07:42:12 GMT", "version": "v1" } ]

2019-05-22

[ [ "Hou", "Linghui", "" ], [ "Du", "Yi-Jian", "" ] ]

All tree-level amplitudes in Einstein-Yang-Mills (EYM) theory and gravity (GR) can be expanded in terms of color ordered Yang-Mills (YM) ones whose coefficients are polynomial functions of Lorentz inner products and are constructed by a graphic rule. Once the gauge invariance condition of any graviton is imposed, the expansion of a tree level EYM or gravity amplitude induces a nontrivial identity between color ordered YM amplitudes. Being different from traditional Kleiss-Kuijf (KK) and Bern-Carrasco-Johansson (BCJ) relations, the gauge invariance induced identity includes polarizations in the coefficients. In this paper, we investigate the relationship between the gauge invariance induced identity and traditional BCJ relations. By proposing a refined graphic rule, we prove that all the gauge invariance induced identities for single trace tree-level EYM amplitudes can be precisely expanded in terms of traditional BCJ relations, without referring any property of polarizations. When further considering the transversality of polarizations and momentum conservation, we prove that the gauge invariance induced identity for tree-level GR (or pure YM) amplitudes can also be expanded in terms of traditional BCJ relations for YM (or bi-scalar) amplitudes. As a byproduct, a graph-based BCJ relation is proposed and proved.

6.762592

6.444415

7.446146

6.081201

6.461135

6.084794

6.090107

6.132808

6.276378

7.819386

6.052115

6.239533

6.414665

6.094386

6.163306

6.288105

6.102835

6.199116

6.12684

6.561845

6.078187

2308.13704

Gabriel Menezes

John F. Donoghue, Gabriel Menezes

Higher Derivative Sigma Models

19 pages, 1 figure

null

hep-th gr-qc hep-ph

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

We explore the nature of running couplings in the higher derivative linear and nonlinear sigma models and show that the results in dimensional regularization for the physical running couplings do not always match the values quoted in the literature. Heat kernel methods identify divergences correctly, but not all of these divergences are related to physical running couplings. Likewise the running found using the Functional Renormalization Group does not always appear as running couplings in physical processes, even for the case of logarithmic running. The basic coupling of the higher derivative SU(N) nonlinear sigma model does not run at all at one loop, in contrast to published claims for asymptotic freedom. At one loop we describe how to properly identify the physical running couplings in these theories, and provide revised numbers for the higher derivative nonlinear sigma model.

[ { "created": "Fri, 25 Aug 2023 23:28:20 GMT", "version": "v1" } ]

2023-08-29

[ [ "Donoghue", "John F.", "" ], [ "Menezes", "Gabriel", "" ] ]

We explore the nature of running couplings in the higher derivative linear and nonlinear sigma models and show that the results in dimensional regularization for the physical running couplings do not always match the values quoted in the literature. Heat kernel methods identify divergences correctly, but not all of these divergences are related to physical running couplings. Likewise the running found using the Functional Renormalization Group does not always appear as running couplings in physical processes, even for the case of logarithmic running. The basic coupling of the higher derivative SU(N) nonlinear sigma model does not run at all at one loop, in contrast to published claims for asymptotic freedom. At one loop we describe how to properly identify the physical running couplings in these theories, and provide revised numbers for the higher derivative nonlinear sigma model.

12.88028

12.539129

11.932656

12.284728

12.597277

12.32585

12.215324

11.962616

11.855741

12.58523

11.528604

11.835124

11.745518

11.614948

11.467717

11.995684

11.562251

12.048588

11.635017

11.805402

11.733513

hep-th/0502127

Petr Horava

Petr Horava, Peter G. Shepard

Topology Changing Transitions in Bubbling Geometries

24 pages, 8 figures

JHEP 0502 (2005) 063

10.1088/1126-6708/2005/02/063

null

hep-th

null

Topological transitions in bubbling half-BPS Type IIB geometries with SO(4) x SO(4) symmetry can be decomposed into a sequence of n elementary transitions. The half-BPS solution that describes the elementary transition is seeded by a phase space distribution of fermions filling two diagonal quadrants. We study the geometry of this solution in some detail. We show that this solution can be interpreted as a time dependent geometry, interpolating between two asymptotic pp-waves in the far past and the far future. The singular solution at the transition can be resolved in two different ways, related by the particle-hole duality in the effective fermion description. Some universal features of the topology change are governed by two-dimensional Type 0B string theory, whose double scaling limit corresponds to the Penrose limit of AdS_5 x S^5 at topological transition. In addition, we present the full class of geometries describing the vicinity of the most general localized classical singularity that can occur in this class of half-BPS bubbling geometries.

[ { "created": "Tue, 15 Feb 2005 02:23:44 GMT", "version": "v1" } ]

2009-11-11

[ [ "Horava", "Petr", "" ], [ "Shepard", "Peter G.", "" ] ]

Topological transitions in bubbling half-BPS Type IIB geometries with SO(4) x SO(4) symmetry can be decomposed into a sequence of n elementary transitions. The half-BPS solution that describes the elementary transition is seeded by a phase space distribution of fermions filling two diagonal quadrants. We study the geometry of this solution in some detail. We show that this solution can be interpreted as a time dependent geometry, interpolating between two asymptotic pp-waves in the far past and the far future. The singular solution at the transition can be resolved in two different ways, related by the particle-hole duality in the effective fermion description. Some universal features of the topology change are governed by two-dimensional Type 0B string theory, whose double scaling limit corresponds to the Penrose limit of AdS_5 x S^5 at topological transition. In addition, we present the full class of geometries describing the vicinity of the most general localized classical singularity that can occur in this class of half-BPS bubbling geometries.

11.059434

10.774225

12.457047

10.218005

10.450451

10.540408

10.932324

10.263598

9.721681

11.744394

10.21112

10.41442

10.63014

10.160899

10.549928

10.539908

10.438349

10.276336

10.123057

10.668137

10.293127

1108.4326

Takahiro Nishinaka

Takahiro Nishinaka and Yutaka Yoshida

A note on statistical model for BPS D4-D2-D0 states

14 pages, 7 figures

null

10.1016/j.physletb.2012.03.071

KEK-TH-1488

hep-th math.AG math.CO math.QA

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

We construct a statistical model that reproduces the BPS partition function of D4-D2-D0 bound states on a class of toric Calabi-Yau three-folds. The Calabi-Yau three-folds we consider are obtained by adding a compact two-cycle to $A_{N-1}$-ALE $\times \mathbb{C}$. We show that in the small radii limit of the Calabi-Yau the D4-D2-D0 partition function is correctly reproduced by counting the number of triangles and parallelograms.

[ { "created": "Mon, 22 Aug 2011 14:18:23 GMT", "version": "v1" } ]

2015-05-30

[ [ "Nishinaka", "Takahiro", "" ], [ "Yoshida", "Yutaka", "" ] ]

We construct a statistical model that reproduces the BPS partition function of D4-D2-D0 bound states on a class of toric Calabi-Yau three-folds. The Calabi-Yau three-folds we consider are obtained by adding a compact two-cycle to $A_{N-1}$-ALE $\times \mathbb{C}$. We show that in the small radii limit of the Calabi-Yau the D4-D2-D0 partition function is correctly reproduced by counting the number of triangles and parallelograms.

7.101393

6.716686

8.59931

6.208561

6.72969

5.972135

6.637922

6.192479

6.641887

8.313321

6.174275

6.330222

7.436493

6.333592

6.314163

6.336125

6.547499

6.273037

6.528098

7.812695

6.380857

hep-th/0303047

Alexei Yung

K. Evlampiev and A. Yung

Flux Tubes on Higgs Branches in SUSY Gauge Theories

LATEX file, 35 p., no figures

Nucl.Phys.B662:120-146,2003

10.1016/S0550-3213(03)00302-X

PNPI-TH-2512/03, ITEP-TH-19/03

hep-th

null

We study flux tubes on Higgs branches with curved geometry in supersymmetric gauge theories. As a first example we consider N=1 QED with one flavor of charges and with Higgs branch curved by adding a Fayet-Iliopoulos (FI) term. We show that in a generic vacuum on the Higgs branch flux tubes exist but become ``thick''. Their internal structure in the plane orthogonal to the string is determined by ``BPS core'' formed by heavy fields and long range ``tail '' associated with light fields living on the Higgs branch. The string tension is given by the tension of ``BPS core'' plus contribution coming from the ``tail''. Next we consider N=2 QCD with gauge group SU(2)and two flavors of fundamental matter (quarks) with the same mass. We perturb this theory by the mass term for the adjoint field which to the leading order in perturbation parameter do not break N=2 supersymmetry and reduces to FI term. The Higgs branch has Eguchi-Hanson geometry. We work out string solution in the generic vacuum on the Higgs branch and calculate its string tension. We also discuss if these strings can turn into semilocal strings, the possibility related to the confinement/deconfinement phase transition.

[ { "created": "Thu, 6 Mar 2003 16:45:32 GMT", "version": "v1" } ]

2010-05-27

[ [ "Evlampiev", "K.", "" ], [ "Yung", "A.", "" ] ]

We study flux tubes on Higgs branches with curved geometry in supersymmetric gauge theories. As a first example we consider N=1 QED with one flavor of charges and with Higgs branch curved by adding a Fayet-Iliopoulos (FI) term. We show that in a generic vacuum on the Higgs branch flux tubes exist but become ``thick''. Their internal structure in the plane orthogonal to the string is determined by ``BPS core'' formed by heavy fields and long range ``tail '' associated with light fields living on the Higgs branch. The string tension is given by the tension of ``BPS core'' plus contribution coming from the ``tail''. Next we consider N=2 QCD with gauge group SU(2)and two flavors of fundamental matter (quarks) with the same mass. We perturb this theory by the mass term for the adjoint field which to the leading order in perturbation parameter do not break N=2 supersymmetry and reduces to FI term. The Higgs branch has Eguchi-Hanson geometry. We work out string solution in the generic vacuum on the Higgs branch and calculate its string tension. We also discuss if these strings can turn into semilocal strings, the possibility related to the confinement/deconfinement phase transition.

9.156834

9.025014

10.215968

9.055981

9.38931

9.333049

8.899464

8.709971

8.635953

9.968464

8.338543

8.720313

8.779457

8.903498

8.90501

8.928489

8.477622

8.829842

8.589955

9.096557

8.748954

2207.14167

Patricio Salgado-Rebolledo

Andrea Campoleoni, Marc Henneaux, Simon Pekar, Alfredo P\'erez, Patricio Salgado-Rebolledo

Magnetic Carrollian gravity from the Carroll algebra

24 pages

null

10.1007/JHEP09(2022)127

null

hep-th gr-qc

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

We explicitly establish the equivalence between the magnetic Carrollian limit of Einstein gravity defined through the Hamiltonian formalism and the Carrollian theory of gravity defined through a gauging of the Carroll algebra along the lines of standard Poincar\'e (or (A)dS) gaugings.

[ { "created": "Thu, 28 Jul 2022 15:27:51 GMT", "version": "v1" } ]

2022-09-28

[ [ "Campoleoni", "Andrea", "" ], [ "Henneaux", "Marc", "" ], [ "Pekar", "Simon", "" ], [ "Pérez", "Alfredo", "" ], [ "Salgado-Rebolledo", "Patricio", "" ] ]

We explicitly establish the equivalence between the magnetic Carrollian limit of Einstein gravity defined through the Hamiltonian formalism and the Carrollian theory of gravity defined through a gauging of the Carroll algebra along the lines of standard Poincar\'e (or (A)dS) gaugings.

12.045833

10.028781

10.245199

8.561723

9.973531

9.059308

10.22193

9.426908

8.918976

18.230167

9.740643

9.535042

9.428966

9.224012

8.758974

9.333251

9.060414

9.298905

9.456954

10.226701

8.835833

2110.14481

Giacomo Piccinini

Neil B. Copland, Giacomo Piccinini, Daniel C. Thompson

The Duality Symmetric String at Two-loops

28 pages, 2 figures

null

hep-th

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

The Tseytlin duality symmetric string makes manifest the $O(n,n)$ T-duality symmetry on the worldsheet at the expense of manifest Lorentz invariance. Here we consider the two-loop renormalisation of this model in the context of "cosmological" spacetimes consisting of an internal $n$-dimensional torus fibred over a one-dimensional base manifold. The lack of manifest Lorentz symmetry introduces a range of complexities in momenta loop integrals which we approach using different methods. Whilst the results do satisfy a number of key consistency criteria, we find however that the two-loop counter-terms are incompatible with $O(n,n)$ symmetry and obstruct the renormalisability of the duality symmetric string.

[ { "created": "Wed, 27 Oct 2021 14:53:18 GMT", "version": "v1" } ]

2021-10-28

[ [ "Copland", "Neil B.", "" ], [ "Piccinini", "Giacomo", "" ], [ "Thompson", "Daniel C.", "" ] ]

The Tseytlin duality symmetric string makes manifest the $O(n,n)$ T-duality symmetry on the worldsheet at the expense of manifest Lorentz invariance. Here we consider the two-loop renormalisation of this model in the context of "cosmological" spacetimes consisting of an internal $n$-dimensional torus fibred over a one-dimensional base manifold. The lack of manifest Lorentz symmetry introduces a range of complexities in momenta loop integrals which we approach using different methods. Whilst the results do satisfy a number of key consistency criteria, we find however that the two-loop counter-terms are incompatible with $O(n,n)$ symmetry and obstruct the renormalisability of the duality symmetric string.

9.513651

9.26553

11.753983

9.410228

9.52643

10.221435

9.482041

9.281926

8.730867

10.378395

8.976435

9.422684

10.45631

9.78682

9.762774

9.651321

9.39425

9.52634

9.913377

11.065959

9.270079

0807.1104

Ben Freivogel

Ben Freivogel and Matthew Lippert

Evidence for a bound on the lifetime of de Sitter space

28 pages

JHEP 0812:096,2008

10.1088/1126-6708/2008/12/096

null

hep-th

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

Recent work has suggested a surprising new upper bound on the lifetime of de Sitter vacua in string theory. The bound is parametrically longer than the Hubble time but parametrically shorter than the recurrence time. We investigate whether the bound is satisfied in a particular class of de Sitter solutions, the KKLT vacua. Despite the freedom to make the supersymmetry breaking scale exponentially small, which naively would lead to extremely stable vacua, we find that the lifetime is always less than about exp(10^(22)) Hubble times, in agreement with the proposed bound.

[ { "created": "Tue, 8 Jul 2008 16:10:19 GMT", "version": "v1" } ]

2009-01-16

[ [ "Freivogel", "Ben", "" ], [ "Lippert", "Matthew", "" ] ]

Recent work has suggested a surprising new upper bound on the lifetime of de Sitter vacua in string theory. The bound is parametrically longer than the Hubble time but parametrically shorter than the recurrence time. We investigate whether the bound is satisfied in a particular class of de Sitter solutions, the KKLT vacua. Despite the freedom to make the supersymmetry breaking scale exponentially small, which naively would lead to extremely stable vacua, we find that the lifetime is always less than about exp(10^(22)) Hubble times, in agreement with the proposed bound.

6.740931

7.133436

6.792095

6.140173

6.385504

6.668351

5.701395

5.990194

6.074975

7.371306

6.432322

5.559398

6.384654

5.955487

5.944288

6.027134

5.956158

5.844515

6.019362

6.403222

6.249338

hep-th/0612235

Olaf Hohm

Massive Kaluza-Klein Theories and their Spontaneously Broken Symmetries

112 pages, 3 figures, based on the author's Ph.D. thesis

null

hep-th

null

In this thesis we investigate the effective actions for massive Kaluza-Klein states, focusing on the massive modes of spin-3/2 and spin-2 fields. To this end we determine the spontaneously broken gauge symmetries associated to these `higher spin' states and construct the unbroken phase of the Kaluza-Klein theory. We show that for the particular background AdS_3 x S*3 x S*3 a consistent coupling of the first massive spin-3/2 multiplet requires an enhancement of local supersymmetry, which in turn will be spontaneously broken in the Kaluza-Klein vacuum. The corresponding action is constructed as a gauged maximal supergravity in D=3. Subsequently, the symmetries underlying an infinite tower of massive spin-2 states are analyzed in case of a Kaluza-Klein compactification of four-dimensional gravity to D=3. It is shown that the resulting gravity-spin-2 theory is given by a Chern-Simons action of an affine algebra. The global symmetry is determined, which contains an affine extension of the Ehlers group. We show that the broken phase can in turn be constructed via gauging a certain subgroup of the global symmetry group. Finally, deformations of the Kaluza-Klein theory on AdS_3 x S*3 x S*3 and the corresponding symmetry breakings are analyzed as possible applications for the AdS/CFT correspondence.

[ { "created": "Thu, 21 Dec 2006 13:52:48 GMT", "version": "v1" } ]

2007-05-23

[ [ "Hohm", "Olaf", "" ] ]

In this thesis we investigate the effective actions for massive Kaluza-Klein states, focusing on the massive modes of spin-3/2 and spin-2 fields. To this end we determine the spontaneously broken gauge symmetries associated to these `higher spin' states and construct the unbroken phase of the Kaluza-Klein theory. We show that for the particular background AdS_3 x S*3 x S*3 a consistent coupling of the first massive spin-3/2 multiplet requires an enhancement of local supersymmetry, which in turn will be spontaneously broken in the Kaluza-Klein vacuum. The corresponding action is constructed as a gauged maximal supergravity in D=3. Subsequently, the symmetries underlying an infinite tower of massive spin-2 states are analyzed in case of a Kaluza-Klein compactification of four-dimensional gravity to D=3. It is shown that the resulting gravity-spin-2 theory is given by a Chern-Simons action of an affine algebra. The global symmetry is determined, which contains an affine extension of the Ehlers group. We show that the broken phase can in turn be constructed via gauging a certain subgroup of the global symmetry group. Finally, deformations of the Kaluza-Klein theory on AdS_3 x S*3 x S*3 and the corresponding symmetry breakings are analyzed as possible applications for the AdS/CFT correspondence.

6.366577

6.558763

7.005413

6.372239

6.625149

6.680538

6.535981

6.248893

6.339447

7.299935

6.294333

6.241677

6.626297

6.290154

6.35846

6.376645

6.397728

6.219923

6.392388

6.512333

6.268855

0708.4116

Jason Kumar

Dynamical SUSY Breaking in Intersecting Brane Models

10 pages, LaTeX, References added

Phys.Rev.D77:046010,2008

10.1103/PhysRevD.77.046010

null

hep-th hep-ph

null

We present a simple mechanism by which supersymmetry can be dynamically broken in intersecting brane models, naturally generating an exponentially small scale. Rather than utilize either non-Abelian gauge dynamics or D-instantons, our mechanism uses worldsheet instantons to generate the small scale in a hidden sector.

[ { "created": "Thu, 30 Aug 2007 18:35:45 GMT", "version": "v1" }, { "created": "Wed, 5 Sep 2007 06:07:46 GMT", "version": "v2" } ]

2008-11-26

[ [ "Kumar", "Jason", "" ] ]

We present a simple mechanism by which supersymmetry can be dynamically broken in intersecting brane models, naturally generating an exponentially small scale. Rather than utilize either non-Abelian gauge dynamics or D-instantons, our mechanism uses worldsheet instantons to generate the small scale in a hidden sector.

10.037396

7.915267

8.73987

8.199263

8.134774

8.565482

8.346641

8.567798

7.800401

9.122557

8.900638

8.827842

9.282402

8.464419

8.823861

9.060896

8.858018

8.931569

8.657744

9.059356

8.943056

2109.06546

Arkajyoti Manna

Sourav Ballav and Arkajyoti Manna

Recursion relations for scattering amplitudes with massive particles II: massive vector bosons

Changes in the abstract, the presentation in the text and notation. Matched with the published version

Nuclear Physics B, Volume 983,October 2022, 115935

10.1016/j.nuclphysb.2022.115935

null

hep-th

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

Using the recently introduced recursion relations with covariant massive-massless shift, we study tree-level scattering amplitudes involving a pair of massive vector bosons and an arbitrary number of gluons in the massive spinor-helicity formalism. In particular, we derive compact expressions for cases in which i) all gluons are of the same helicity and ii) one gluon has flipped helicity and is colour adjacent to one of the massive particles. We provide numerous consistency checks of our results including the exact match of high energy limits with well-known MHV and NMHV amplitudes in pure Yang-Mills theory. As a corollary, we obtain an alternative novel representation of the NMHV amplitude.

[ { "created": "Tue, 14 Sep 2021 09:38:57 GMT", "version": "v1" }, { "created": "Thu, 18 Nov 2021 12:44:44 GMT", "version": "v2" }, { "created": "Wed, 16 Feb 2022 16:21:59 GMT", "version": "v3" }, { "created": "Tue, 23 Aug 2022 17:05:20 GMT", "version": "v4" } ]

2022-08-24

[ [ "Ballav", "Sourav", "" ], [ "Manna", "Arkajyoti", "" ] ]

Using the recently introduced recursion relations with covariant massive-massless shift, we study tree-level scattering amplitudes involving a pair of massive vector bosons and an arbitrary number of gluons in the massive spinor-helicity formalism. In particular, we derive compact expressions for cases in which i) all gluons are of the same helicity and ii) one gluon has flipped helicity and is colour adjacent to one of the massive particles. We provide numerous consistency checks of our results including the exact match of high energy limits with well-known MHV and NMHV amplitudes in pure Yang-Mills theory. As a corollary, we obtain an alternative novel representation of the NMHV amplitude.

8.201059

7.403571

8.105112

6.925416

7.577215

7.588019

7.074925

6.689886

6.793014

8.313195

7.544411

7.263289

7.757257

7.117555

7.500374

7.44206

7.141953

7.49268

7.069

7.699107

7.267869

1501.02322

Shan Hu

Shan Hu, Tianjun Li

Group manifold approach to higher spin theory

35 pages,v2: revised version, v3: 38 pages, improved discussion on global HS symmetry, clarifications added in appendix B, journal version

JHEP 1510 (2015) 019

10.1007/JHEP10(2015)019

null

hep-th

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

We consider the group manifold approach to higher spin theory. The deformed local higher spin transformation is realized as the diffeomorphism transformation in the group manifold $\textbf{M}$. With the suitable rheonomy condition and the torsion constraint imposed, the unfolded equation can be obtained from the Bianchi identity, by solving which, fields in $\textbf{M}$ are determined by the multiplet at one point, or equivalently, by $(W^{[a(s-1),b(0)]}_{\mu},H)$ in $AdS_{4}\subset \textbf{M}$. Although the space is extended to $\textbf{M}$ to get the geometrical formulation, the dynamical degrees of freedom are still in $AdS_{4}$. The $4d$ equations of motion for $(W^{[a(s-1),b(0)]}_{\mu},H)$ are obtained by plugging the rheonomy condition into the Bianchi identity. The proper rheonomy condition allowing for the maximum on-shell degrees of freedom is given by Vasiliev equation. We also discuss the theory with the global higher spin symmetry, which is in parallel with the WZ model in supersymmetry.

[ { "created": "Sat, 10 Jan 2015 09:14:08 GMT", "version": "v1" }, { "created": "Fri, 13 Feb 2015 14:02:11 GMT", "version": "v2" }, { "created": "Tue, 8 Sep 2015 03:06:36 GMT", "version": "v3" } ]

2015-10-15

[ [ "Hu", "Shan", "" ], [ "Li", "Tianjun", "" ] ]

We consider the group manifold approach to higher spin theory. The deformed local higher spin transformation is realized as the diffeomorphism transformation in the group manifold $\textbf{M}$. With the suitable rheonomy condition and the torsion constraint imposed, the unfolded equation can be obtained from the Bianchi identity, by solving which, fields in $\textbf{M}$ are determined by the multiplet at one point, or equivalently, by $(W^{[a(s-1),b(0)]}_{\mu},H)$ in $AdS_{4}\subset \textbf{M}$. Although the space is extended to $\textbf{M}$ to get the geometrical formulation, the dynamical degrees of freedom are still in $AdS_{4}$. The $4d$ equations of motion for $(W^{[a(s-1),b(0)]}_{\mu},H)$ are obtained by plugging the rheonomy condition into the Bianchi identity. The proper rheonomy condition allowing for the maximum on-shell degrees of freedom is given by Vasiliev equation. We also discuss the theory with the global higher spin symmetry, which is in parallel with the WZ model in supersymmetry.

9.316271

9.628336

9.171322

8.797493

9.826434

9.718756

9.319444

9.341248

9.015401

10.927444

9.402142

9.241735

9.120891

8.932197

8.993038

9.032952

8.839577

9.024014

8.949545

9.075908

8.845546

1009.5553

Futoshi Yagi

Kazunobu Maruyoshi, Futoshi Yagi

Seiberg-Witten curve via generalized matrix model

22 pages, 3 figures; v2: references added, typos corrected; v3: minor corrections, references added

JHEP 1101:042,2011

10.1007/JHEP01(2011)042

YITP-10-84, IHES/P/10/34

hep-th

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

We study the generalized matrix model which corresponds to the n-point toric Virasoro conformal block. This describes four-dimensional N=2 SU(2)^n gauge theory with circular quiver diagram by the AGT relation. We first verify that it is obtained from the perturbative calculation of the Liouville correlation function. We derive the Seiberg-Witten curve for N=2 gauge theory as a spectral curve of the generalized matrix model.

[ { "created": "Tue, 28 Sep 2010 12:54:23 GMT", "version": "v1" }, { "created": "Wed, 6 Oct 2010 13:32:43 GMT", "version": "v2" }, { "created": "Mon, 27 Dec 2010 20:48:37 GMT", "version": "v3" } ]

2011-01-17

[ [ "Maruyoshi", "Kazunobu", "" ], [ "Yagi", "Futoshi", "" ] ]

We study the generalized matrix model which corresponds to the n-point toric Virasoro conformal block. This describes four-dimensional N=2 SU(2)^n gauge theory with circular quiver diagram by the AGT relation. We first verify that it is obtained from the perturbative calculation of the Liouville correlation function. We derive the Seiberg-Witten curve for N=2 gauge theory as a spectral curve of the generalized matrix model.

7.676838

6.93017

10.287917

6.874094

6.476143

6.364883

6.147826

6.641893

6.527962

9.96203

6.461025

7.028212

8.609682

7.135452

6.903769

7.278852

6.998529

7.138635

7.605802

8.525512

6.963742

2407.10203

Raphael Dulac

Iosif Bena and Rapha\"el Dulac

On the supersymmetries of branes with fluxes

14 pages

null

hep-th

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

The Dirac-Born-Infled action that describes the dynamics of D branes also allows one to compute the supersymmetries they preserve using the Kappa-symmetry projector. The ''Lagrangian'' expression of this projector depends on the velocity and electric fields of the branes, but not on the corresponding conserved charges. One can also construct the projector in a ''Hamiltonian'' approach, by multiplying the conserved string, brane and momentum charges with the corresponding gamma matrix involutions, adding them to the mass of the brane multiplied by the unit matrix, and normalizing the resulting expression. We show that these two procedures are equivalent.

[ { "created": "Sun, 14 Jul 2024 13:47:53 GMT", "version": "v1" } ]

2024-07-16

[ [ "Bena", "Iosif", "" ], [ "Dulac", "Raphaël", "" ] ]

The Dirac-Born-Infled action that describes the dynamics of D branes also allows one to compute the supersymmetries they preserve using the Kappa-symmetry projector. The ''Lagrangian'' expression of this projector depends on the velocity and electric fields of the branes, but not on the corresponding conserved charges. One can also construct the projector in a ''Hamiltonian'' approach, by multiplying the conserved string, brane and momentum charges with the corresponding gamma matrix involutions, adding them to the mass of the brane multiplied by the unit matrix, and normalizing the resulting expression. We show that these two procedures are equivalent.

13.173877

14.435492

14.899538

13.405435

14.461111

14.930347

12.761116

12.597872

13.537844

14.890306

12.990702

12.528153

12.92891

12.004341

12.96703

12.816374

12.882181

12.25361

12.917705

12.991198

12.469634

1802.04445

Yifan Wang

Chi-Ming Chang, Ying-Hsuan Lin, Shu-Heng Shao, Yifan Wang, Xi Yin

Topological Defect Lines and Renormalization Group Flows in Two Dimensions

101 pages, 63 figures, 2 tables; v3: minor changes, added footnotes and references, published version

null

10.1007/JHEP01(2019)026

CALT-TH 2017-067, PUPT-2546

hep-th cond-mat.str-el

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

We consider topological defect lines (TDLs) in two-dimensional conformal field theories. Generalizing and encompassing both global symmetries and Verlinde lines, TDLs together with their attached defect operators provide models of fusion categories without braiding. We study the crossing relations of TDLs, discuss their relation to the 't Hooft anomaly, and use them to constrain renormalization group flows to either conformal critical points or topological quantum field theories (TQFTs). We show that if certain non-invertible TDLs are preserved along a RG flow, then the vacuum cannot be a non-degenerate gapped state. For various massive flows, we determine the infrared TQFTs completely from the consideration of TDLs together with modular invariance.

[ { "created": "Tue, 13 Feb 2018 02:51:54 GMT", "version": "v1" }, { "created": "Wed, 11 Apr 2018 22:33:35 GMT", "version": "v2" }, { "created": "Sat, 12 Jan 2019 09:42:13 GMT", "version": "v3" } ]

2019-01-30

[ [ "Chang", "Chi-Ming", "" ], [ "Lin", "Ying-Hsuan", "" ], [ "Shao", "Shu-Heng", "" ], [ "Wang", "Yifan", "" ], [ "Yin", "Xi", "" ] ]

We consider topological defect lines (TDLs) in two-dimensional conformal field theories. Generalizing and encompassing both global symmetries and Verlinde lines, TDLs together with their attached defect operators provide models of fusion categories without braiding. We study the crossing relations of TDLs, discuss their relation to the 't Hooft anomaly, and use them to constrain renormalization group flows to either conformal critical points or topological quantum field theories (TQFTs). We show that if certain non-invertible TDLs are preserved along a RG flow, then the vacuum cannot be a non-degenerate gapped state. For various massive flows, we determine the infrared TQFTs completely from the consideration of TDLs together with modular invariance.

8.529997

7.545872

10.908188

7.621496

7.314503

7.735709

7.654853

7.822505

7.431801

11.657824

7.549321

7.772623

9.642123

8.335484

8.023561

8.254513

8.211305

8.102571

8.383356

9.329472

7.958323

1805.07377

Ahmad Sheykhi

Mahya Mohammadi, Ahmad Sheykhi and Mahdi Kord Zangeneh

Analytical and numerical study of backreacting one-dimensional holographic superconductors in the presence of Born-Infeld electrodynamics

7 pages, two columns

Eur. Phys. J. C (2018) 78:654

10.1140/epjc/s10052-018-6138-9

null

hep-th

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

We analytically as well as numerically study the effects of Born-Infeld nonlinear electrodynamics on the properties of $(1+1)$-dimensional s-wave holographic superconductors. We relax the probe limit and further assume the scalar and gauge fields affect on the background spacetime. We thus explore the effects of backreaction on the condensation of the scalar hair. For the analytical method, we employ the Sturm-Liouville eigen value problem and for the numerical method, we employ the shooting method. We show that these methods are powerful enough to analyze the critical temperature and phase transition of the one dimensional holographic superconductor. We find out that increasing the backreaction as well as nonlinearity makes the condensation harder to form. In addition, this one-dimensional holographic superconductor faces with second order phase transition and their critical exponent has the mean field value $\beta={1}/{2}$.

[ { "created": "Sun, 6 May 2018 19:27:54 GMT", "version": "v1" }, { "created": "Tue, 12 Jun 2018 16:28:23 GMT", "version": "v2" } ]

2018-09-26

[ [ "Mohammadi", "Mahya", "" ], [ "Sheykhi", "Ahmad", "" ], [ "Zangeneh", "Mahdi Kord", "" ] ]

We analytically as well as numerically study the effects of Born-Infeld nonlinear electrodynamics on the properties of $(1+1)$-dimensional s-wave holographic superconductors. We relax the probe limit and further assume the scalar and gauge fields affect on the background spacetime. We thus explore the effects of backreaction on the condensation of the scalar hair. For the analytical method, we employ the Sturm-Liouville eigen value problem and for the numerical method, we employ the shooting method. We show that these methods are powerful enough to analyze the critical temperature and phase transition of the one dimensional holographic superconductor. We find out that increasing the backreaction as well as nonlinearity makes the condensation harder to form. In addition, this one-dimensional holographic superconductor faces with second order phase transition and their critical exponent has the mean field value $\beta={1}/{2}$.

7.113913

6.016955

6.859574

5.797943

5.989241

5.92233

5.884205

5.335731

5.884953

6.602305

5.907507

6.399696

6.933621

6.638974

6.779761

6.478506

6.508595

6.6041

6.647239

6.9635

6.530004

1206.0175

Stefano Bellucci

S. Bellucci, N. Kozyrev, S. Krivonos and A. Sutulin

Symmetries of N=4 supersymmetric CP(n) mechanics

10 pages, PACS numbers: 11.30.Pb, 03.65.-w; minor changes in Introduction, references added

null

10.1088/1751-8113/46/27/275305

null

hep-th

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

We explicitly constructed the generators of $SU(n+1)$ group which commute with the supercharges of N=4 supersymmetric $\mathbb{CP}^n$ mechanics in the background U(n) gauge fields. The corresponding Hamiltonian can be represented as a direct sum of two Casimir operators: one Casimir operator on $SU(n+1)$ group contains our bosonic and fermionic coordinates and momenta, while the second one, on the SU(1,n) group, is constructed from isospin degrees of freedom only.

[ { "created": "Fri, 1 Jun 2012 13:22:18 GMT", "version": "v1" }, { "created": "Thu, 10 Jan 2013 14:14:35 GMT", "version": "v2" } ]

2015-06-05

[ [ "Bellucci", "S.", "" ], [ "Kozyrev", "N.", "" ], [ "Krivonos", "S.", "" ], [ "Sutulin", "A.", "" ] ]

We explicitly constructed the generators of $SU(n+1)$ group which commute with the supercharges of N=4 supersymmetric $\mathbb{CP}^n$ mechanics in the background U(n) gauge fields. The corresponding Hamiltonian can be represented as a direct sum of two Casimir operators: one Casimir operator on $SU(n+1)$ group contains our bosonic and fermionic coordinates and momenta, while the second one, on the SU(1,n) group, is constructed from isospin degrees of freedom only.

8.961603

9.55698

9.825356

8.511984

10.017683

9.578611

10.0818

9.127856

8.925752

10.557941

8.331889

8.687243

8.7509

8.957036

9.492015

8.753045

8.687167

8.741018

8.696688

9.564484

8.500776

hep-th/9803062

Kwei-Chou Yang

A. N. Mitra

3D-4D Interlinkage Of qqq Wave Functions Under 3D Support For Pairwise Bethe-Salpeter Kernels

20 pages, Latex, submitted via the account of K.-C. Yang

null

10.1142/S0217751X99002256

null

hep-th

null

Using the method of Green's functions within a Bethe-Salpeter framework characterized by a pairwise qq interaction with a Lorentz-covariant 3D support to its kernel, the 4D BS wave function for a system of 3 identical relativistic spinless quarks is reconstructed from the corresponding 3D form which satisfies a fully connected 3D BSE. This result is a 3-body generalization of a similar 2-body result found earlier under identical conditions of a 3D support to the corresponding qq-bar BS kernel under Covariant Instaneity (CIA for short). (The generalization from spinless to fermion quarks is straightforward). To set the CIA with 3D BS kernel support ansatz in the context of contemporary approaches to the qqq baryon problem, a model scalar 4D qqq BSE with pairwise contact interactions to simulate the NJL-Faddeev equations is worked out fully, and a comparison of both vertex functions shows that the CIA vertex reduces exactly to the NJL form in the limit of zero spatial range. This consistency check on the CIA vertex function is part of a fuller accounting for its mathematical structure whose physical motivation is traceable to the role of `spectroscopy' as an integral part of the dynamics.

[ { "created": "Sat, 7 Mar 1998 07:51:01 GMT", "version": "v1" } ]

2009-10-31

[ [ "Mitra", "A. N.", "" ] ]

Using the method of Green's functions within a Bethe-Salpeter framework characterized by a pairwise qq interaction with a Lorentz-covariant 3D support to its kernel, the 4D BS wave function for a system of 3 identical relativistic spinless quarks is reconstructed from the corresponding 3D form which satisfies a fully connected 3D BSE. This result is a 3-body generalization of a similar 2-body result found earlier under identical conditions of a 3D support to the corresponding qq-bar BS kernel under Covariant Instaneity (CIA for short). (The generalization from spinless to fermion quarks is straightforward). To set the CIA with 3D BS kernel support ansatz in the context of contemporary approaches to the qqq baryon problem, a model scalar 4D qqq BSE with pairwise contact interactions to simulate the NJL-Faddeev equations is worked out fully, and a comparison of both vertex functions shows that the CIA vertex reduces exactly to the NJL form in the limit of zero spatial range. This consistency check on the CIA vertex function is part of a fuller accounting for its mathematical structure whose physical motivation is traceable to the role of `spectroscopy' as an integral part of the dynamics.

16.720083

14.714887

17.098801

14.509398

16.588408

15.702085

15.097963

14.815518

14.922756

17.735189

16.032568

15.893056

16.718369

16.009872

15.547626

15.837557

15.69116

15.890618

15.705687

16.834082

15.884978

hep-th/9905083

Robert Marnelius

Igor Batalin, Robert Marnelius

General quantum antibrackets

21 pages,Latexfile

Theor.Math.Phys. 120 (1999) 1115-1132; Teor.Mat.Fiz. 120 (1999) 358-379

10.1007/BF02557237

ITP-Goteborg 99-04

hep-th

null

The recently introduced quantum antibracket is further generalized allowing for the defining odd operator Q to be arbitrary. We give exact formulas for higher quantum antibrackets of arbitrary orders and their generalized Jacobi identities. Their applications to BV-quantization and BFV-BRST quantization are then reviewed including some new aspects.

[ { "created": "Wed, 12 May 1999 12:47:30 GMT", "version": "v1" } ]

2019-08-17

[ [ "Batalin", "Igor", "" ], [ "Marnelius", "Robert", "" ] ]

The recently introduced quantum antibracket is further generalized allowing for the defining odd operator Q to be arbitrary. We give exact formulas for higher quantum antibrackets of arbitrary orders and their generalized Jacobi identities. Their applications to BV-quantization and BFV-BRST quantization are then reviewed including some new aspects.

19.395243

15.379032

21.141573

15.66233

13.796409

15.51177

15.058606

13.734504

15.637781

20.493359

16.33374

16.77247

18.534363

16.138275

16.598389

16.481403

15.918498

16.346155

17.256742

18.719328

16.136105

1805.07904

Jian-Pin Wu

Xiao-Mei Kuang, Jian-Pin Wu and Zhenhua Zhou

Holographic transports from Born-Infeld electrodynamics with momentum dissipation

21 pages,8 figures

null

hep-th

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

We construct the Einstein-axions AdS black hole from Born-Infeld electrodynamics. Various DC transport coefficients of the dual boundary theory are computed. The DC electric conductivity depends on the temperature, which is a novel property comparing to that in RN-AdS black hole. The DC electric conductivity are positive at zero temperature while the thermal conductivity vanishes, which implies that the dual system is an electrical metal but thermal insulator. The effects of Born-Infeld parameter on the transport coefficients are analyzed. Finally, we study the AC electric conductivity from Born-Infeld electrodynamics with momentum dissipation. For weak momentum dissipation, the low frequency behavior satisfies the standard Drude formula and the electric transport is coherent for various correction parameter. While for stronger momentum dissipation, the modified Drude formula is applied and we observe a crossover from coherent to incoherent phase. Moreover, the Born-Infeld correction amplifies the incoherent behavior. Finally, we study the non-linear conductivity in probe limit and compare our results with those observed in (i)DBI model.

[ { "created": "Mon, 21 May 2018 06:12:34 GMT", "version": "v1" }, { "created": "Fri, 15 Jun 2018 23:29:23 GMT", "version": "v2" } ]

2018-06-19

[ [ "Kuang", "Xiao-Mei", "" ], [ "Wu", "Jian-Pin", "" ], [ "Zhou", "Zhenhua", "" ] ]

We construct the Einstein-axions AdS black hole from Born-Infeld electrodynamics. Various DC transport coefficients of the dual boundary theory are computed. The DC electric conductivity depends on the temperature, which is a novel property comparing to that in RN-AdS black hole. The DC electric conductivity are positive at zero temperature while the thermal conductivity vanishes, which implies that the dual system is an electrical metal but thermal insulator. The effects of Born-Infeld parameter on the transport coefficients are analyzed. Finally, we study the AC electric conductivity from Born-Infeld electrodynamics with momentum dissipation. For weak momentum dissipation, the low frequency behavior satisfies the standard Drude formula and the electric transport is coherent for various correction parameter. While for stronger momentum dissipation, the modified Drude formula is applied and we observe a crossover from coherent to incoherent phase. Moreover, the Born-Infeld correction amplifies the incoherent behavior. Finally, we study the non-linear conductivity in probe limit and compare our results with those observed in (i)DBI model.

9.823534

9.566126

9.80837

9.136315

9.798181

9.103611

9.644062

9.460788

9.393269

11.302272

9.178468

9.544142

9.732198

9.46241

9.692723

9.641037

9.483638

9.196998

9.548676

10.089082

9.205576

hep-th/0512210

Yidun Wan

2D Ising Model with non-local links - a study of non-locality

4 pages (2 columns), 6 figures

null

hep-th cond-mat.stat-mech

null

Markopoulou and Smolin have argued that the low energy limit of LQG may suffer from a conflict between locality, as defined by the connectivity of spin networks, and an averaged notion of locality that emerges at low energy from a superposition of spin network states. This raises the issue of how much non-locality, relative to the coarse grained metric, can be tolerated in the spin network graphs that contribute to the ground state. To address this question we have been studying statistical mechanical systems on lattices decorated randomly with non-local links. These turn out to be related to a class of recently studied systems called small world networks. We show, in the case of the 2D Ising model, that one major effect of non-local links is to raise the Curie temperature. We report also on measurements of the spin-spin correlation functions in this model and show, for the first time, the impact of not only the amount of non-local links but also of their configuration on correlation functions.

[ { "created": "Fri, 16 Dec 2005 20:43:15 GMT", "version": "v1" }, { "created": "Fri, 27 Jan 2006 03:27:25 GMT", "version": "v2" } ]

2007-05-23

[ [ "Wan", "Yidun", "" ] ]

Markopoulou and Smolin have argued that the low energy limit of LQG may suffer from a conflict between locality, as defined by the connectivity of spin networks, and an averaged notion of locality that emerges at low energy from a superposition of spin network states. This raises the issue of how much non-locality, relative to the coarse grained metric, can be tolerated in the spin network graphs that contribute to the ground state. To address this question we have been studying statistical mechanical systems on lattices decorated randomly with non-local links. These turn out to be related to a class of recently studied systems called small world networks. We show, in the case of the 2D Ising model, that one major effect of non-local links is to raise the Curie temperature. We report also on measurements of the spin-spin correlation functions in this model and show, for the first time, the impact of not only the amount of non-local links but also of their configuration on correlation functions.

9.082018

9.859304

9.460348

9.003877

9.427237

9.651922

9.929831

9.199245

9.801415

9.312185

9.341763

8.80942

9.034718

8.943074

8.778389

8.912608

8.955624

8.671618

8.942461

8.803308

9.286725

2212.11811

Harold Erbin

Harold Erbin, Vincent Lahoche, Dine Ousmane Samary

Renormalization in the neural network-quantum field theory correspondence

A shorter version of this paper has been accepted in the NeurIPS 2022 workshop: Machine learning and the physical sciences (https://ml4physicalsciences.github.io/2022/)

null

hep-th cond-mat.dis-nn cs.LG stat.ML

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

A statistical ensemble of neural networks can be described in terms of a quantum field theory (NN-QFT correspondence). The infinite-width limit is mapped to a free field theory, while finite N corrections are mapped to interactions. After reviewing the correspondence, we will describe how to implement renormalization in this context and discuss preliminary numerical results for translation-invariant kernels. A major outcome is that changing the standard deviation of the neural network weight distribution corresponds to a renormalization flow in the space of networks.

[ { "created": "Thu, 22 Dec 2022 15:41:13 GMT", "version": "v1" } ]

2022-12-23

[ [ "Erbin", "Harold", "" ], [ "Lahoche", "Vincent", "" ], [ "Samary", "Dine Ousmane", "" ] ]

A statistical ensemble of neural networks can be described in terms of a quantum field theory (NN-QFT correspondence). The infinite-width limit is mapped to a free field theory, while finite N corrections are mapped to interactions. After reviewing the correspondence, we will describe how to implement renormalization in this context and discuss preliminary numerical results for translation-invariant kernels. A major outcome is that changing the standard deviation of the neural network weight distribution corresponds to a renormalization flow in the space of networks.

14.995485

13.173749

14.103444

11.676577

12.604629

12.899268

13.421002

11.938275

13.584188

15.123272

12.185288

12.352133

14.643107

12.816264

13.392925

12.467494

13.000777

12.954309

13.003995

14.4615

13.089312

hep-th/0310116

Lutz Moeller

Marija Dimitrijevic, Frank Meyer, Lutz M\"oller, Julius Wess

Gauge theories on the kappa-Minkowski spacetime

17 pages, few minor revisions

Eur.Phys.J. C36 (2004) 117-126

10.1140/epjc/s2004-01887-0

null

hep-th

null

This study of gauge field theories on kappa-deformed Minkowski spacetime extends previous work on field theories on this example of a noncommutative spacetime. We construct deformed gauge theories for arbitrary compact Lie groups using the concept of enveloping algebra-valued gauge transformations and the Seiberg-Witten formalism. Derivative-valued gauge fields lead to field strength tensors as the sum of curvature- and torsion-like terms. We construct the Lagrangians explicitly to first order in the deformation parameter. This is the first example of a gauge theory that possesses a deformed Lorentz covariance.

[ { "created": "Mon, 13 Oct 2003 16:07:42 GMT", "version": "v1" }, { "created": "Mon, 2 Aug 2004 12:30:49 GMT", "version": "v2" } ]

2007-05-23

[ [ "Dimitrijevic", "Marija", "" ], [ "Meyer", "Frank", "" ], [ "Möller", "Lutz", "" ], [ "Wess", "Julius", "" ] ]

This study of gauge field theories on kappa-deformed Minkowski spacetime extends previous work on field theories on this example of a noncommutative spacetime. We construct deformed gauge theories for arbitrary compact Lie groups using the concept of enveloping algebra-valued gauge transformations and the Seiberg-Witten formalism. Derivative-valued gauge fields lead to field strength tensors as the sum of curvature- and torsion-like terms. We construct the Lagrangians explicitly to first order in the deformation parameter. This is the first example of a gauge theory that possesses a deformed Lorentz covariance.

7.875906

8.144029

8.729636

7.750665

8.415319

8.130719

8.383378

8.095645

7.724915

9.256849

7.408538

7.66836

8.040348

7.846385

8.048809

8.050851

7.766334

7.788697

7.95097

8.252021

7.717802

2007.08227

Yan-Gang Miao

Yang Guo, Yan-Gang Miao

Null geodesics, quasinormal modes and the correspondence with shadows in high-dimensional Einstein-Yang-Mills spacetimes

v1: 10 pages, 6 figures; v2: clarifications added and references adjusted; v3: 14 pages, clarifications, 6 tables and one reference added, final version to appear in Physical Review D

Phys. Rev. D 102, 084057 (2020)

10.1103/PhysRevD.102.084057

null

hep-th gr-qc

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

Null geodesics, quasinormal modes of a massless scalar field perturbation and the correspondence with shadow radii are investigated in the background spacetime of high-dimensional Einstein-Yang-Mills black holes. Based on the properties of null geodesics, we obtain the connection between the radius of a photon sphere and the radius of a horizon in the five- and six-dimensional Einstein-Yang-Mills spacetimes. Especially in the five-dimensional case, there exist two branches for the radius of a photon sphere, but only the branch outside the event horizon satisfies the condition of circular null geodesics. Moreover, we find no reflecting points of shadow radii and no spiral-like shapes on the complex plane of quasinormal frequencies and verify the correspondence between the quasinormal modes in the eikonal limit and shadow radii in high-dimensional Einstein-Yang-Mills spacetimes.

[ { "created": "Thu, 16 Jul 2020 09:52:03 GMT", "version": "v1" }, { "created": "Mon, 27 Jul 2020 08:43:54 GMT", "version": "v2" }, { "created": "Sat, 3 Oct 2020 01:33:50 GMT", "version": "v3" } ]

2020-10-27

[ [ "Guo", "Yang", "" ], [ "Miao", "Yan-Gang", "" ] ]

Null geodesics, quasinormal modes of a massless scalar field perturbation and the correspondence with shadow radii are investigated in the background spacetime of high-dimensional Einstein-Yang-Mills black holes. Based on the properties of null geodesics, we obtain the connection between the radius of a photon sphere and the radius of a horizon in the five- and six-dimensional Einstein-Yang-Mills spacetimes. Especially in the five-dimensional case, there exist two branches for the radius of a photon sphere, but only the branch outside the event horizon satisfies the condition of circular null geodesics. Moreover, we find no reflecting points of shadow radii and no spiral-like shapes on the complex plane of quasinormal frequencies and verify the correspondence between the quasinormal modes in the eikonal limit and shadow radii in high-dimensional Einstein-Yang-Mills spacetimes.

7.049499

7.326226

6.006515

5.989207

6.571394

6.543861

6.496818

5.937149

6.831028

6.516343

6.615556

6.832739

6.317238

6.441111

6.401643

6.404619

7.05358

6.273666

6.649972

6.494719

6.559616

hep-th/0611013

Martin Wolf

On supertwistor geometry and integrability in super gauge theory

Ph.D. thesis

null

hep-th math-ph math.MP

null

In this thesis, we report on different aspects of integrability in supersymmetric gauge theories. The main tool of investigation is twistor geometry. In trying to be self-contained, we first present a brief review about the basics of twistor geometry. We then focus on the twistor description of various gauge theories in four and three space-time dimensions. These include self-dual supersymmetric Yang-Mills (SYM) theories and relatives, non-self-dual SYM theories and supersymmetric Bogomolny models. Furthermore, we present a detailed investigation of integrability of self-dual SYM theories. In particular, the twistor construction of infinite-dimensional algebras of hidden symmetries is given and exemplified by deriving affine extensions of internal and space-time symmetries. In addition, we derive self-dual SYM hierarchies within the twistor framework. These hierarchies describe an infinite number of flows on the respective solution space, where the lowest level flows are space-time translations. We also derive infinitely many nonlocal conservation laws.

[ { "created": "Wed, 1 Nov 2006 14:51:13 GMT", "version": "v1" } ]

2007-06-14

[ [ "Wolf", "Martin", "" ] ]

In this thesis, we report on different aspects of integrability in supersymmetric gauge theories. The main tool of investigation is twistor geometry. In trying to be self-contained, we first present a brief review about the basics of twistor geometry. We then focus on the twistor description of various gauge theories in four and three space-time dimensions. These include self-dual supersymmetric Yang-Mills (SYM) theories and relatives, non-self-dual SYM theories and supersymmetric Bogomolny models. Furthermore, we present a detailed investigation of integrability of self-dual SYM theories. In particular, the twistor construction of infinite-dimensional algebras of hidden symmetries is given and exemplified by deriving affine extensions of internal and space-time symmetries. In addition, we derive self-dual SYM hierarchies within the twistor framework. These hierarchies describe an infinite number of flows on the respective solution space, where the lowest level flows are space-time translations. We also derive infinitely many nonlocal conservation laws.

7.760976

7.694818

8.524386

7.624144

7.769553

7.656213

7.648357

7.461197

7.486495

8.958099

7.369214

7.768414

7.670998

7.642305

7.724164

7.775793

7.713377

7.545293

7.53101

7.892664

7.499645

hep-th/9507121

Edward Witten

Some Comments On String Dynamics

26 pages

null

IASSNS-HEP-95-63

hep-th

null

Three subjects are considered here: a self-dual non-critical string that appears in Type IIB superstring theory at points in ${\rm K3}$ moduli space where the Type IIA theory has extended gauge symmetry; a conformal field theory singularity at such points which may signal quantum effects that persist even at weak coupling; and the rich dynamics of the real world under compactification, which may be relevant to some attempts to explain the vanishing of the cosmological constant.

[ { "created": "Sun, 23 Jul 1995 14:01:30 GMT", "version": "v1" } ]

2007-05-23

[ [ "Witten", "Edward", "" ] ]

Three subjects are considered here: a self-dual non-critical string that appears in Type IIB superstring theory at points in ${\rm K3}$ moduli space where the Type IIA theory has extended gauge symmetry; a conformal field theory singularity at such points which may signal quantum effects that persist even at weak coupling; and the rich dynamics of the real world under compactification, which may be relevant to some attempts to explain the vanishing of the cosmological constant.

15.408512

15.520629

18.346558

15.401556

15.931826

16.427208

17.054922

16.258921

15.037066

18.756758

15.68408

14.691831

15.280773

14.436214

14.451184

15.339016

14.603755

14.81904

14.565384

15.489954

15.119501

hep-th/0008150

Eric R. Sharpe

Tomas Gomez, Eric R. Sharpe

D-Branes and Scheme Theory

10 pages, LaTeX

null

DUKE-CGTP-2000-12

hep-th

null

In this highly speculative note we conjecture that it may be possible to understand features of coincident D-branes, such as the appearance of enhanced non-abelian gauge symmetry, in a purely geometric fashion, using a form of geometry known as scheme theory. We give a very brief introduction to some relevant ideas from scheme theory, and point out how these ideas work in special cases.

[ { "created": "Fri, 18 Aug 2000 17:24:45 GMT", "version": "v1" }, { "created": "Mon, 21 Aug 2000 19:15:17 GMT", "version": "v2" } ]

2007-05-23

[ [ "Gomez", "Tomas", "" ], [ "Sharpe", "Eric R.", "" ] ]

In this highly speculative note we conjecture that it may be possible to understand features of coincident D-branes, such as the appearance of enhanced non-abelian gauge symmetry, in a purely geometric fashion, using a form of geometry known as scheme theory. We give a very brief introduction to some relevant ideas from scheme theory, and point out how these ideas work in special cases.

11.538008

9.72549

10.65418

9.328383

9.003566

9.998589

8.982208

8.94815

9.263055

9.980319

9.021824

8.781619

10.170926

9.259024

9.204908

8.937528

8.920547

9.122698

9.344705

9.954739

9.356554

hep-th/0005259

Paul Wiegmann

I.K.Kostov, I.Krichever, M.Mineev-Weinstein, P.Wiegmann, A.Zabrodin

$\tau$-function for analytic curves

13 pages, no figures, prepared for Proccedings of MSRI Workshop ``Matrix Models and Painlev\'e Equations'', Berkeley (USA) 1999

Random matrices and their applications, MSRI publications,vol.40, 285,2001, Cambridge University Press

null

hep-th

null

We review the concept of $\tau$-function for simple analytic curves. The $\tau$-function gives a formal solution to the 2D inverse potential problem and appears as the $\tau$-function of the integrable hierarchy which describes conformal maps of simply-connected domains bounded by analytic curves to the unit disk. The $\tau$-function also emerges in the context of topological gravity and enjoys an interpretation as a large $N$ limit of the normal matrix model.

[ { "created": "Fri, 26 May 2000 21:25:23 GMT", "version": "v1" } ]

2007-05-23

[ [ "Kostov", "I. K.", "" ], [ "Krichever", "I.", "" ], [ "Mineev-Weinstein", "M.", "" ], [ "Wiegmann", "P.", "" ], [ "Zabrodin", "A.", "" ] ]

We review the concept of $\tau$-function for simple analytic curves. The $\tau$-function gives a formal solution to the 2D inverse potential problem and appears as the $\tau$-function of the integrable hierarchy which describes conformal maps of simply-connected domains bounded by analytic curves to the unit disk. The $\tau$-function also emerges in the context of topological gravity and enjoys an interpretation as a large $N$ limit of the normal matrix model.

9.788778

9.491989

11.463204

9.077634

10.094707

9.23645

9.527459

8.838186

9.804949

11.812488

9.11658

8.888864

9.341176

8.842464

8.951506

8.975773

8.445415

8.658487

8.868629

9.029398

8.461821

hep-th/9705013

Igor V. Volovich

I.V.Volovich

Planckian Energy Scattering of D-branes and M(atrix) Theory in Curved Space

5 pages, Latex

null

10.1007/BFb0105235

SMI-12-97/5

hep-th gr-qc

null

We argue that black p-branes will occur in the collision of D0-branes at Planckian energies. This extents the Amati, Ciafaloni and Veneziano and 't Hooft conjecture that black holes occur in the collision of two light particles at Planckian energies. We discuss a possible scenario for such a process by using colliding plane gravitational waves. D-branes in the presence of black holes are discussed. M(atrix) theory and matrix string in curved space are considered. A violation of quantum coherence in M(atrix) theory is noticed.

[ { "created": "Sun, 4 May 1997 13:55:40 GMT", "version": "v1" } ]

2009-10-30

[ [ "Volovich", "I. V.", "" ] ]

We argue that black p-branes will occur in the collision of D0-branes at Planckian energies. This extents the Amati, Ciafaloni and Veneziano and 't Hooft conjecture that black holes occur in the collision of two light particles at Planckian energies. We discuss a possible scenario for such a process by using colliding plane gravitational waves. D-branes in the presence of black holes are discussed. M(atrix) theory and matrix string in curved space are considered. A violation of quantum coherence in M(atrix) theory is noticed.

11.263952

10.103985

11.799931

9.550467

9.014718

10.285059

9.249587

9.453291

9.544399

11.474916

9.836483

10.215576

10.768984

10.036717

10.105536

9.935029

10.253507

10.806085

9.942078

11.012909

9.826151

hep-th/0001130

Oren Bergman

O. Bergman (Caltech), M.R. Gaberdiel (Cambridge)

On the Consistency of Orbifolds

10 pages, LaTex. The sign ambiguities in the GSO-projection are clarified in the abstract and the introduction, and revised in sections 3 and 4. In particular we clarify that modular invariance fixes all the ambiguities in principle, but in practice this is hard to do. The final conclusion regarding the spectrum of the non-supersymmetric orbifold remains unchanged

Phys.Lett. B481 (2000) 379-385

10.1016/S0370-2693(00)00446-9

CALT-68-2256, CITUSC/00-002, DAMTP-2000-4

hep-th

null

Modular invariance is a necessary condition for the consistency of any closed string theory. In particular, it imposes stringent constraints on the spectrum of orbifold theories, and in principle determines their spectrum uniquely up to discrete torsion classes. In practice, however, there are often ambiguities in the construction of orbifolds that are a consequence of the fact that the action of the orbifold elements on degenerate ground states is not unambiguous. We explain that there exists an additional consistency condition, related to the spectrum of D-branes in the theory, which eliminates these ambiguities. For supersymmetric orbifolds this condition turns out to be equivalent to the condition that supersymmetry is unbroken in the twisted sectors, but for non-supersymmetric orbifolds it appears to be a genuinely new consistency condition.

[ { "created": "Thu, 20 Jan 2000 18:56:21 GMT", "version": "v1" }, { "created": "Fri, 10 Mar 2000 23:54:48 GMT", "version": "v2" } ]

2009-10-31

[ [ "Bergman", "O.", "", "Caltech" ], [ "Gaberdiel", "M. R.", "", "Cambridge" ] ]

Modular invariance is a necessary condition for the consistency of any closed string theory. In particular, it imposes stringent constraints on the spectrum of orbifold theories, and in principle determines their spectrum uniquely up to discrete torsion classes. In practice, however, there are often ambiguities in the construction of orbifolds that are a consequence of the fact that the action of the orbifold elements on degenerate ground states is not unambiguous. We explain that there exists an additional consistency condition, related to the spectrum of D-branes in the theory, which eliminates these ambiguities. For supersymmetric orbifolds this condition turns out to be equivalent to the condition that supersymmetry is unbroken in the twisted sectors, but for non-supersymmetric orbifolds it appears to be a genuinely new consistency condition.

5.691211

5.214666

6.044888

5.159568

5.618846

5.43251

5.659802

5.666067

5.27611

5.687928

5.308061

5.239166

5.549037

5.285835

5.175671

5.244293

5.383254

5.329686

5.25959

5.36753

5.116316

1411.1320

Pierre Martinetti

Agostino Devastato and Pierre Martinetti

Twisted spectral triple for the Standard Model and spontaneous breaking of the Grand Symmetry

References updated, misprint corrected. One paragraph added at the end of the paper to discuss results in the literature since the first version of the paper. 39 pages in Mathematical Physics, Analysis and Geometry (2016)

null

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

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

Grand symmetry models in noncommutative geometry have been introduced to explain how to generate minimally (i.e. without adding new fermions) an extra scalar field beyond the standard model, which both stabilizes the electroweak vacuum and makes the computation of the mass of the Higgs compatible with its experimental value. In this paper, we use Connes-Moscovici twisted spectral triples to cure a technical problem of the grand symmetry, that is the appearance together with the extra scalar field of unbounded vectorial terms. The twist makes these terms bounded and - thanks to a twisted version of the first-order condition that we introduce here - also permits to understand the breaking to the standard model as a dynamical process induced by the spectral action. This is a spontaneous breaking from a pre-geometric Pati-Salam model to the almost-commutative geometry of the standard model, with two Higgs-like fields: scalar and vector.

[ { "created": "Wed, 5 Nov 2014 16:52:58 GMT", "version": "v1" }, { "created": "Thu, 29 Jan 2015 00:38:03 GMT", "version": "v2" }, { "created": "Fri, 16 Dec 2016 16:31:18 GMT", "version": "v3" } ]

2016-12-19

[ [ "Devastato", "Agostino", "" ], [ "Martinetti", "Pierre", "" ] ]

Grand symmetry models in noncommutative geometry have been introduced to explain how to generate minimally (i.e. without adding new fermions) an extra scalar field beyond the standard model, which both stabilizes the electroweak vacuum and makes the computation of the mass of the Higgs compatible with its experimental value. In this paper, we use Connes-Moscovici twisted spectral triples to cure a technical problem of the grand symmetry, that is the appearance together with the extra scalar field of unbounded vectorial terms. The twist makes these terms bounded and - thanks to a twisted version of the first-order condition that we introduce here - also permits to understand the breaking to the standard model as a dynamical process induced by the spectral action. This is a spontaneous breaking from a pre-geometric Pati-Salam model to the almost-commutative geometry of the standard model, with two Higgs-like fields: scalar and vector.

11.318241

11.545029

11.488691

10.501899

10.59165

10.797954

11.009633

10.569031

10.735079

13.023232

9.885455

10.940618

11.087274

10.883556

10.925034

10.643752

10.584003

10.808767

10.808453

11.363287

10.392689

0708.1016

Derrick Kiley

Rotating Black Holes on Codimension-2 Branes

7 pages, uses revtex

Phys.Rev.D76:126002,2007

10.1103/PhysRevD.76.126002

null

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

null

It has recently been demonstrated that certain types of non-tensional stress-energy can live on tensional codimension-2 branes, including gravitational shockwaves and small Schwarzschild black holes. In this note we generalize the earlier Schwarzschild results, and construct the exact gravitational fields of small rotating black holes on a codimension-2 brane. We focus on the phenomenologically interesting case of a three-brane embedded in a spacetime with two compactified extra dimensions. For a nonzero tension on the brane, we verify that these solutions also show the ``lightning rod'' effect found in the Schwarzschild solutions, the net effect of which is to rescale the fundamental Planck mass. This allows for larger black hole parameters, such as the event horizon, angular momentum, and lifetime than would be naively expected for a tensionless brane. It is also found that a black hole with angular momentum pointing purely along the brane directions has a smaller horizon angular velocity than the corresponding tensionless case, while a hole with bulk components of angular momentum has a larger angular velocity.

[ { "created": "Tue, 7 Aug 2007 23:23:50 GMT", "version": "v1" } ]

2008-11-26

[ [ "Kiley", "Derrick", "" ] ]

It has recently been demonstrated that certain types of non-tensional stress-energy can live on tensional codimension-2 branes, including gravitational shockwaves and small Schwarzschild black holes. In this note we generalize the earlier Schwarzschild results, and construct the exact gravitational fields of small rotating black holes on a codimension-2 brane. We focus on the phenomenologically interesting case of a three-brane embedded in a spacetime with two compactified extra dimensions. For a nonzero tension on the brane, we verify that these solutions also show the ``lightning rod'' effect found in the Schwarzschild solutions, the net effect of which is to rescale the fundamental Planck mass. This allows for larger black hole parameters, such as the event horizon, angular momentum, and lifetime than would be naively expected for a tensionless brane. It is also found that a black hole with angular momentum pointing purely along the brane directions has a smaller horizon angular velocity than the corresponding tensionless case, while a hole with bulk components of angular momentum has a larger angular velocity.

9.670445

10.500341

9.701939

9.27676

9.669621

9.826812

10.108543

9.190827

10.069146

10.99055

8.947996

8.803731

9.1493

9.050267

9.184523

9.392317

9.329705

8.916822

9.091151

9.380758

9.113746

hep-th/9401161

null

Joaquim Gomis and Jordi Par\'is

Anomalies and Wess-Zumino Terms in an Extended, Regularized Field-Antifield Formalism

30 pages, Latex file, KUL-TF-93/50, UB-ECM-PF 93/14, UTTG-16-93. (shortened version, to appear in Nucl. Phys. B)

Nucl.Phys. B431 (1994) 378-412

10.1016/0550-3213(94)90110-4

null

hep-th

null

Quantization of anomalous gauge theories with closed, irreducible gauge algebra within the extended Field-Antifield formalism is further pursued. Using a Pauli-Villars (PV) regularization of the generating functional at one loop level, an alternative form for the anomaly is found which involves only the regulator. The analysis of this expression allows to conclude that recently found ghost number one cocycles with nontrivial antifield dependence can not appear in PV regularization. Afterwards, the extended Field-Antifield formalism is further completed by incorporating quantum effects of the extra variables, i.e., by explicitly taking into account the regularization of the extra sector. In this context, invariant PV regulators are constructed from non-invariant ones, leading to an alternative interpretation of the Wess-Zumino action as the local counterterm relating invariant and non-invariant regularizations. Finally, application of the above ideas to the bosonic string reproduces the well-known Liouville action and the shift $(26-D)\rightarrow(25-D)$ at one loop.

[ { "created": "Mon, 31 Jan 1994 10:39:01 GMT", "version": "v1" }, { "created": "Thu, 15 Sep 1994 15:12:07 GMT", "version": "v2" } ]

2016-08-14

[ [ "Gomis", "Joaquim", "" ], [ "París", "Jordi", "" ] ]

Quantization of anomalous gauge theories with closed, irreducible gauge algebra within the extended Field-Antifield formalism is further pursued. Using a Pauli-Villars (PV) regularization of the generating functional at one loop level, an alternative form for the anomaly is found which involves only the regulator. The analysis of this expression allows to conclude that recently found ghost number one cocycles with nontrivial antifield dependence can not appear in PV regularization. Afterwards, the extended Field-Antifield formalism is further completed by incorporating quantum effects of the extra variables, i.e., by explicitly taking into account the regularization of the extra sector. In this context, invariant PV regulators are constructed from non-invariant ones, leading to an alternative interpretation of the Wess-Zumino action as the local counterterm relating invariant and non-invariant regularizations. Finally, application of the above ideas to the bosonic string reproduces the well-known Liouville action and the shift $(26-D)\rightarrow(25-D)$ at one loop.

14.501495

11.95944

14.52869

11.826695

12.807171

11.593878

12.618291

12.175212

12.046365

15.507536

11.956629

12.790732

13.177835

12.513907

12.383142

12.329268

12.418606

12.518447

12.512443

13.013719

12.477764

1710.06439

Alexander Tyukov

Alexander Tyukov and Nicholas P. Warner

BPS equations and Non-trivial Compactifications

32 pages, no figures

null

10.1007/JHEP05(2018)022

null

hep-th

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

We consider the problem of finding exact, eleven-dimensional, BPS supergravity solutions in which the compactification involves a non-trivial Calabi-Yau manifold, ${\cal Y}$, as opposed to simply a $T^6$. Since there are no explicitly-known metrics on non-trivial, compact Calabi-Yau manifolds, we use a non-compact "local model" and take the compactification manifold to be ${\cal Y} = {\cal M}_{GH} \times T^2$ where ${\cal M}_{GH}$ is a hyper-K\"ahler, Gibbons-Hawking ALE space. We focus on backgrounds with three electric charges in five dimensions and find exact families of solutions to the BPS equations that have the same four supersymmetries as the three-charge black hole. Our exact solution to the BPS system requires that the Calabi-Yau manifold be fibered over the space-time using compensators on ${\cal Y}$. The role of the compensators is to ensure smoothness of the eleven-dimensional metric when the moduli of ${\cal Y}$ depend on the space-time. The Maxwell field Ansatz also implicitly involves the compensators through the frames of the fibration. We examine the equations of motion and discuss the brane distributions on generic internal manifolds that do not have enough symmetry to allow smearing.

[ { "created": "Tue, 17 Oct 2017 18:00:07 GMT", "version": "v1" }, { "created": "Wed, 29 Nov 2017 20:48:11 GMT", "version": "v2" } ]

2018-05-23

[ [ "Tyukov", "Alexander", "" ], [ "Warner", "Nicholas P.", "" ] ]

We consider the problem of finding exact, eleven-dimensional, BPS supergravity solutions in which the compactification involves a non-trivial Calabi-Yau manifold, ${\cal Y}$, as opposed to simply a $T^6$. Since there are no explicitly-known metrics on non-trivial, compact Calabi-Yau manifolds, we use a non-compact "local model" and take the compactification manifold to be ${\cal Y} = {\cal M}_{GH} \times T^2$ where ${\cal M}_{GH}$ is a hyper-K\"ahler, Gibbons-Hawking ALE space. We focus on backgrounds with three electric charges in five dimensions and find exact families of solutions to the BPS equations that have the same four supersymmetries as the three-charge black hole. Our exact solution to the BPS system requires that the Calabi-Yau manifold be fibered over the space-time using compensators on ${\cal Y}$. The role of the compensators is to ensure smoothness of the eleven-dimensional metric when the moduli of ${\cal Y}$ depend on the space-time. The Maxwell field Ansatz also implicitly involves the compensators through the frames of the fibration. We examine the equations of motion and discuss the brane distributions on generic internal manifolds that do not have enough symmetry to allow smearing.

8.04731

8.963506

8.917515

8.077205

8.569114

8.41277

8.339821

8.212812

8.217301

9.125177

8.127851

8.037975

8.038449

7.905725

7.890141

7.894209

8.022443

7.716826

7.860857

8.194408

7.877658

1207.6948

Badr Mohammed Mr

Badr Awad Elseid Mohammed

Nonplanar Integrability and Parity in ABJ Theory

1+12 pages, Corrected typos, more clarifications, figure and appendix added

IJMPA Vol. 28 (2013) 1350043

10.1142/S0217751X13500437

WITS-CTP-101

hep-th

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

In this article we study the action of the non-planar two-loop dilatation operator in an SU(2)*SU(2) sub-sector of the ABJ Chern-Simons-matter theory. The gauge invariant operators we consider are the restricted Schur polynomials. As in ABJM theory, there is a limit in which the spectrum reduces to a set of decoupled harmonic oscillators, indicating integrability in the large M and N double limit of the theory. We then consider parity transformations on the gauge invariant operators. In this case the non-planar anomalous dimensions break parity invariance. Our analysis shows that (M-N) is related to the holonomy in the string theory, confirming one of the main features of the theory and its string dual. Furthermore, in the limit where ABJ theory reduces to ABJM theory, parity invariance is restored.

[ { "created": "Mon, 30 Jul 2012 14:38:19 GMT", "version": "v1" }, { "created": "Mon, 13 Aug 2012 10:13:01 GMT", "version": "v2" }, { "created": "Tue, 30 Oct 2012 14:02:24 GMT", "version": "v3" }, { "created": "Wed, 31 Oct 2012 11:57:50 GMT", "version": "v4" } ]

2013-04-16

[ [ "Mohammed", "Badr Awad Elseid", "" ] ]

In this article we study the action of the non-planar two-loop dilatation operator in an SU(2)*SU(2) sub-sector of the ABJ Chern-Simons-matter theory. The gauge invariant operators we consider are the restricted Schur polynomials. As in ABJM theory, there is a limit in which the spectrum reduces to a set of decoupled harmonic oscillators, indicating integrability in the large M and N double limit of the theory. We then consider parity transformations on the gauge invariant operators. In this case the non-planar anomalous dimensions break parity invariance. Our analysis shows that (M-N) is related to the holonomy in the string theory, confirming one of the main features of the theory and its string dual. Furthermore, in the limit where ABJ theory reduces to ABJM theory, parity invariance is restored.

9.089387

8.071654

10.7551

7.998312

9.356721

8.772597

8.252715

8.173049

8.163615

11.709599

7.74609

8.408026

8.94249

8.498712

8.348402

8.549824

8.382255

8.60574

8.162119

9.686123

8.575723

1506.05784

Konstantinos Siampos

Konstantinos Sfetsos, Konstantinos Siampos, Daniel C. Thompson

Generalised integrable $\lambda$- and $\eta$-deformations and their relation

33 pages, Latex, v2: 35 pages, Latex, clarifying comments, v3: few minor changes, NPB version

null

10.1016/j.nuclphysb.2015.08.015

null

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

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

We construct two-parameter families of integrable $\lambda$-deformations of two-dimensional field theories. These interpolate between a CFT (a WZW/gauged WZW model) and the non-Abelian T-dual of a principal chiral model on a group/symmetric coset space. In examples based on the $SU(2)$ WZW model and the $SU(2)/U(1)$ exact coset CFT, we show that these deformations are related to bi-Yang-Baxter generalisations of $\eta$-deformations via Poisson-Lie T-duality and analytic continuation. We illustrate the quantum behaviour of our models under RG flow. As a byproduct we demonstrate that the bi-Yang-Baxter $\sigma$-model for a general group is one-loop renormalisable.

[ { "created": "Thu, 18 Jun 2015 19:38:13 GMT", "version": "v1" }, { "created": "Tue, 30 Jun 2015 19:42:19 GMT", "version": "v2" }, { "created": "Mon, 31 Aug 2015 08:50:57 GMT", "version": "v3" } ]

2015-09-01

[ [ "Sfetsos", "Konstantinos", "" ], [ "Siampos", "Konstantinos", "" ], [ "Thompson", "Daniel C.", "" ] ]

We construct two-parameter families of integrable $\lambda$-deformations of two-dimensional field theories. These interpolate between a CFT (a WZW/gauged WZW model) and the non-Abelian T-dual of a principal chiral model on a group/symmetric coset space. In examples based on the $SU(2)$ WZW model and the $SU(2)/U(1)$ exact coset CFT, we show that these deformations are related to bi-Yang-Baxter generalisations of $\eta$-deformations via Poisson-Lie T-duality and analytic continuation. We illustrate the quantum behaviour of our models under RG flow. As a byproduct we demonstrate that the bi-Yang-Baxter $\sigma$-model for a general group is one-loop renormalisable.

6.661178

6.326826

8.934361

6.166132

6.316309

5.947326

6.411467

6.162491

5.982852

9.472938

6.589798

6.600436

7.429558

6.434378

6.459015

6.43289

6.245738

6.430341

6.575509

7.255

6.363508

1307.3517

Joanna L. Karczmarek

Joanna L. Karczmarek and Charles Rabideau

Holographic entanglement entropy in nonlocal theories

26 pages, 9 figures

null

10.1007/JHEP10(2013)078

null

hep-th gr-qc quant-ph

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

We compute holographic entanglement entropy in two strongly coupled nonlocal field theories: the dipole and the noncommutative deformations of SYM theory. We find that entanglement entropy in the dipole theory follows a volume law for regions smaller than the length scale of nonlocality and has a smooth cross-over to an area law for larger regions. In contrast, in the noncommutative theory the entanglement entropy follows a volume law for up to a critical length scale at which a phase transition to an area law occurs. The critical length scale increases as the UV cutoff is raised, which is indicative of UV/IR mixing and implies that entanglement entropy in the noncommutative theory follows a volume law for arbitrary large regions when the size of the region is fixed as the UV cutoff is removed to infinity. Comparison of behaviour between these two theories allows us to explain the origin of the volume law. Since our holographic duals are not asymptotically AdS, minimal area surfaces used to compute holographic entanglement entropy have novel behaviours near the boundary of the dual spacetime. We discuss implications of our results on the scrambling (thermalization) behaviour of these nonlocal field theories.

[ { "created": "Fri, 12 Jul 2013 17:21:26 GMT", "version": "v1" } ]

2014-04-15

[ [ "Karczmarek", "Joanna L.", "" ], [ "Rabideau", "Charles", "" ] ]

We compute holographic entanglement entropy in two strongly coupled nonlocal field theories: the dipole and the noncommutative deformations of SYM theory. We find that entanglement entropy in the dipole theory follows a volume law for regions smaller than the length scale of nonlocality and has a smooth cross-over to an area law for larger regions. In contrast, in the noncommutative theory the entanglement entropy follows a volume law for up to a critical length scale at which a phase transition to an area law occurs. The critical length scale increases as the UV cutoff is raised, which is indicative of UV/IR mixing and implies that entanglement entropy in the noncommutative theory follows a volume law for arbitrary large regions when the size of the region is fixed as the UV cutoff is removed to infinity. Comparison of behaviour between these two theories allows us to explain the origin of the volume law. Since our holographic duals are not asymptotically AdS, minimal area surfaces used to compute holographic entanglement entropy have novel behaviours near the boundary of the dual spacetime. We discuss implications of our results on the scrambling (thermalization) behaviour of these nonlocal field theories.

5.739472

5.244056

6.369665

5.590089

5.851006

5.474988

5.784477

5.863442

5.806375

6.347466

5.527735

5.643742

5.865061

5.593079

5.572466

5.808874

5.621787

5.535824

5.671105

5.834999

5.451204

2107.13130

Phil Saad

Phil Saad, Stephen Shenker, and Shunyu Yao

Comments on wormholes and factorization

89 pages + appendices

null

hep-th

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

In AdS/CFT partition functions of decoupled copies of the CFT factorize. In bulk computations of such quantities contributions from spacetime wormholes which link separate asymptotic boundaries threaten to spoil this property, leading to a "factorization puzzle." Certain simple models like JT gravity have wormholes, but bulk computations in them correspond to averages over an ensemble of boundary systems. These averages need not factorize. We can formulate a toy version of the factorization puzzle in such models by focusing on a specific member of the ensemble where partition functions will again factorize. As Coleman and Giddings-Strominger pointed out in the 1980s, fixed members of ensembles are described in the bulk by "$\alpha$-states" in a many-universe Hilbert space. In this paper we analyze in detail the bulk mechanism for factorization in such $\alpha$-states in the topological model introduced by Marolf and Maxfield (the "MM model") and in JT gravity. In these models geometric calculations in $\alpha$ states are poorly controlled. We circumvent this complication by working in $\textit{approximate}$ $\alpha$ states where bulk calculations just involve the simplest topologies: disks and cylinders. One of our main results is an effective description of the factorization mechanism. In this effective description the many-universe contributions from the full $\alpha$ state are replaced by a small number of effective boundaries. Our motivation in constructing this effective description, and more generally in studying these simple ensemble models, is that the lessons learned might have wider applicability. In fact the effective description lines up with a recent discussion of the SYK model with fixed couplings arXiv:2103.16754. We conclude with some discussion about the possible applicability of this effective model in more general contexts.

[ { "created": "Wed, 28 Jul 2021 02:13:46 GMT", "version": "v1" } ]

2021-07-29

[ [ "Saad", "Phil", "" ], [ "Shenker", "Stephen", "" ], [ "Yao", "Shunyu", "" ] ]

In AdS/CFT partition functions of decoupled copies of the CFT factorize. In bulk computations of such quantities contributions from spacetime wormholes which link separate asymptotic boundaries threaten to spoil this property, leading to a "factorization puzzle." Certain simple models like JT gravity have wormholes, but bulk computations in them correspond to averages over an ensemble of boundary systems. These averages need not factorize. We can formulate a toy version of the factorization puzzle in such models by focusing on a specific member of the ensemble where partition functions will again factorize. As Coleman and Giddings-Strominger pointed out in the 1980s, fixed members of ensembles are described in the bulk by "$\alpha$-states" in a many-universe Hilbert space. In this paper we analyze in detail the bulk mechanism for factorization in such $\alpha$-states in the topological model introduced by Marolf and Maxfield (the "MM model") and in JT gravity. In these models geometric calculations in $\alpha$ states are poorly controlled. We circumvent this complication by working in $\textit{approximate}$ $\alpha$ states where bulk calculations just involve the simplest topologies: disks and cylinders. One of our main results is an effective description of the factorization mechanism. In this effective description the many-universe contributions from the full $\alpha$ state are replaced by a small number of effective boundaries. Our motivation in constructing this effective description, and more generally in studying these simple ensemble models, is that the lessons learned might have wider applicability. In fact the effective description lines up with a recent discussion of the SYK model with fixed couplings arXiv:2103.16754. We conclude with some discussion about the possible applicability of this effective model in more general contexts.

10.994183

11.349196

13.447475

11.019336

11.845563

12.373792

11.956735

11.125391

11.102889

13.839207

11.174395

10.770076

11.566106

10.804938

10.761861

10.750701

10.832071

11.073995

10.755661

11.267062

10.896731

1012.3154

Antonio Amariti

A. Amariti

Dynamical SUSY Breaking and the Beta-Deformation

12 pages, 4 figures, JHEP3.cls, references added, final version published on JHEP

null

10.1007/JHEP09(2011)111

null

hep-th

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

We study supersymmetry breaking metastable vacua arising from beta deformed quiver gauge theories. The relation between the bounds on metastability and the deformation are discussed. Metastable supersymmetry breaking vacua are found in the IR of beta deformed cascading quivers with vector-like field content. Furthermore the limiting case of massive Nf=Nc SQCD appears in the IR of gauge theories with chiral-like field content. We comment on the field theory origin of the deformation and on possible applications in AdS/CFT.

[ { "created": "Tue, 14 Dec 2010 20:08:31 GMT", "version": "v1" }, { "created": "Wed, 30 May 2012 20:52:02 GMT", "version": "v2" } ]

2015-05-20

[ [ "Amariti", "A.", "" ] ]

We study supersymmetry breaking metastable vacua arising from beta deformed quiver gauge theories. The relation between the bounds on metastability and the deformation are discussed. Metastable supersymmetry breaking vacua are found in the IR of beta deformed cascading quivers with vector-like field content. Furthermore the limiting case of massive Nf=Nc SQCD appears in the IR of gauge theories with chiral-like field content. We comment on the field theory origin of the deformation and on possible applications in AdS/CFT.

12.124776

10.719762

12.95461

10.886543

10.730547

11.27364

11.427863

11.5784

10.804884

13.488441

10.608064

11.377967

12.169469

11.474614

11.222708

11.33146

11.170942

10.934229

11.140964

12.755826

11.250347

0709.1411

Anton Zeitlin

Anton M. Zeitlin

BV Yang-Mills as a Homotopy Chern-Simons via SFT

LaTeX2e, 22 pages, minor revisions, typos corrected, references added, Int. J. Mod. Physics A, published version

Int.J.Mod.Phys. A24 (2009) 1309 - 1331

10.1142/S0217751X09043031

null

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

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

We show explicitly how BV Yang-Mills action emerges as a homotopy generalization of Chern-Simons theory from the algebraic constructions arising from String Field Theory.

[ { "created": "Mon, 10 Sep 2007 15:02:56 GMT", "version": "v1" }, { "created": "Tue, 20 Nov 2007 18:38:26 GMT", "version": "v2" }, { "created": "Wed, 10 Dec 2008 04:12:25 GMT", "version": "v3" }, { "created": "Tue, 31 Mar 2009 19:39:26 GMT", "version": "v4" } ]

2009-03-31

[ [ "Zeitlin", "Anton M.", "" ] ]

We show explicitly how BV Yang-Mills action emerges as a homotopy generalization of Chern-Simons theory from the algebraic constructions arising from String Field Theory.

27.580431

15.039352

20.027491

18.060966

19.914406

15.866613

18.764933

15.752615

15.735248

28.304138

17.83185

20.552025

20.716181

19.971544

19.713215

19.831617

19.20487

18.575052

19.726576

22.808784

19.038094

hep-th/9302061

null

Arlen Anderson

Quantum Canonical Transformations and Integrability: Beyond Unitary Transformations

15 pages, LaTeX, Imperial-TP-92-93-19 [Revision consists of new material on observables and an explanation of how the proposed definition of integrability allows for systems which have fewer commuting integrals of the motion than degrees of freedom.]

Phys.Lett.B319:157-162,1993

10.1016/0370-2693(93)90796-K

null

hep-th

null

Quantum canonical transformations are defined in analogy to classical canonical transformations as changes of the phase space variables which preserve the Dirac bracket structure. In themselves, they are neither unitary nor non-unitary. A definition of quantum integrability in terms of canonical transformations is proposed which includes systems which have fewer commuting integrals of motion than degrees of freedom. The important role of non-unitary transformations in integrability is discussed.

[ { "created": "Mon, 15 Feb 1993 00:13:01 GMT", "version": "v1" }, { "created": "Mon, 6 Sep 1993 13:56:42 GMT", "version": "v2" } ]

2010-11-01

[ [ "Anderson", "Arlen", "" ] ]

Quantum canonical transformations are defined in analogy to classical canonical transformations as changes of the phase space variables which preserve the Dirac bracket structure. In themselves, they are neither unitary nor non-unitary. A definition of quantum integrability in terms of canonical transformations is proposed which includes systems which have fewer commuting integrals of motion than degrees of freedom. The important role of non-unitary transformations in integrability is discussed.

8.35094

8.863803

8.650174

7.744863

7.693489

7.157415

7.841619

8.074828

7.45677

9.696814

8.434627

7.764477

7.956562

7.87461

7.70224

7.967119

7.649838

7.789262

7.934591

8.548153

8.070117

hep-th/9910199

Jeong-Hyuck Park

Superconformal Symmetry in Three-dimensions

1+46 pages, No figure, LaTeX, References added

J.Math.Phys. 41 (2000) 7129-7161

10.1063/1.1290056

KIAS-99101

hep-th

null

Three-dimensional N-extended superconformal symmetry is studied within the superspace formalism. A superconformal Killing equation is derived and its solutions are classified in terms of supertranslations, dilations, Lorentz transformations, R-symmetry transformations and special superconformal transformations. Superconformal group is then identified with a supermatrix group, OSp(N|2,R), as expected from the analysis on simple Lie superalgebras. In general, due to the invariance under supertranslations and special superconformal transformations, superconformally invariant n-point functions reduce to one unspecified (n-2)-point function which must transform homogeneously under the remaining rigid transformations, i.e. dilations, Lorentz transformations and R-symmetry transformations. After constructing building blocks for superconformal correlators, we are able to identify all the superconformal invariants and obtain the general form of n-point functions. Superconformally covariant differential operators are also discussed.

[ { "created": "Tue, 26 Oct 1999 08:12:31 GMT", "version": "v1" }, { "created": "Wed, 3 Nov 1999 03:33:06 GMT", "version": "v2" } ]

2016-09-06

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

Three-dimensional N-extended superconformal symmetry is studied within the superspace formalism. A superconformal Killing equation is derived and its solutions are classified in terms of supertranslations, dilations, Lorentz transformations, R-symmetry transformations and special superconformal transformations. Superconformal group is then identified with a supermatrix group, OSp(N|2,R), as expected from the analysis on simple Lie superalgebras. In general, due to the invariance under supertranslations and special superconformal transformations, superconformally invariant n-point functions reduce to one unspecified (n-2)-point function which must transform homogeneously under the remaining rigid transformations, i.e. dilations, Lorentz transformations and R-symmetry transformations. After constructing building blocks for superconformal correlators, we are able to identify all the superconformal invariants and obtain the general form of n-point functions. Superconformally covariant differential operators are also discussed.

5.975622

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5.086145

5.172829

6.673626

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5.81309

5.989784

5.613149

5.701823

5.6724

5.45274

5.633129

5.625661

6.030264

5.623408

hep-th/9112063

David Senechal

P. Di Francesco, P. Mathieu and D. Senechal

Integrability of the quantum KdV equation at c = -2

9 pages

Mod.Phys.Lett. A7 (1992) 701-708

10.1142/S0217732392000677

null

hep-th

null

We present a simple a direct proof of the complete integrability of the quantum KdV equation at $c=-2$, with an explicit description of all the conservation laws.

[ { "created": "Fri, 20 Dec 1991 18:57:42 GMT", "version": "v1" } ]

2009-10-22

[ [ "Di Francesco", "P.", "" ], [ "Mathieu", "P.", "" ], [ "Senechal", "D.", "" ] ]

We present a simple a direct proof of the complete integrability of the quantum KdV equation at $c=-2$, with an explicit description of all the conservation laws.

13.518521

11.574323

14.133174

11.491222

11.41578

11.284663

10.699827

12.504827

12.516657

15.288806

10.615114

11.102196

15.251245

12.318756

11.337706

10.475549

11.678888

11.263987

12.387361

14.052718

10.536899

hep-th/9612229

Donam Youm

Mirjam Cvetic and Donam Youm

Rotating Intersecting M-Branes

28 pages, uses RevTex, the revised version to appear in Nuclear Physics B

Nucl.Phys.B499:253-282,1997

10.1016/S0550-3213(97)00302-7

IASSNS-HEP-96/123,UPR-728-T

hep-th gr-qc

null

We present intersecting p-brane solutions of eleven-dimensional supergravity (M-branes) which upon toroidal compactification reduce to non-extreme ``rotating'' black holes. We identify harmonic functions, associated with each M-brane, and non-extremality functions, specifying a deviation from the BPS limit. These functions are modified due to the angular momentum parameters, which specify the rotation along the transverse directions of the M-branes. We spell out the intersection rules for the eleven-dimensional space-time metric for intersecting (up to three) rotating M-brane configurations (and a boost along the common intersecting direction).

[ { "created": "Tue, 24 Dec 1996 00:50:08 GMT", "version": "v1" }, { "created": "Fri, 6 Jun 1997 18:18:45 GMT", "version": "v2" } ]

2009-09-17

[ [ "Cvetic", "Mirjam", "" ], [ "Youm", "Donam", "" ] ]

We present intersecting p-brane solutions of eleven-dimensional supergravity (M-branes) which upon toroidal compactification reduce to non-extreme ``rotating'' black holes. We identify harmonic functions, associated with each M-brane, and non-extremality functions, specifying a deviation from the BPS limit. These functions are modified due to the angular momentum parameters, which specify the rotation along the transverse directions of the M-branes. We spell out the intersection rules for the eleven-dimensional space-time metric for intersecting (up to three) rotating M-brane configurations (and a boost along the common intersecting direction).

12.498159

11.071179

12.761009

11.074204

12.932339

12.544144

11.690121

10.387447

11.267621

12.866911

12.124033

11.745748

12.084704

11.302781

11.567504

10.873104

11.026114

11.821743

11.632436

11.983227

11.195921

1807.09712

Javier Tarrio

Anton F. Faedo, David Mateos, Christiana Pantelidou, Javier Tarrio

A Supersymmetric Color Superconductor from Holography

11 pages, 2 figures. v2: comments and references added, published text

null

10.1007/JHEP05(2019)106

ICCUB-18-016

hep-th

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

We use holography to study $d=4$, $\mathcal{N}=4$, SU($N_{\rm \tiny{c}}$) super Yang-Mills coupled to $N_{\rm \tiny{F}} \ll N_{\rm \tiny{c}}$ quark flavors. We place the theory at finite isospin density $n_{\rm \tiny{I}}$ by turning on an isospin chemical potential $\mu_{\rm \tiny{I}}=M_{\rm \tiny{q}}$, with $M_{\rm \tiny{q}}$ the quark mass. We also turn on two R-symmetry charge densities $n_1=n_2$. We show that the ground state is a supersymmetric, superfluid, color superconductor, namely a finite-density state that preserves a fraction of supersymmetry in which part of the global symmetries and part of the gauge symmetries are spontaneously broken. The holographic description consists of $N_{\rm \tiny{F}}$ D7-brane probes in $\mbox{AdS}_5 \times \mbox{S}^5$. The symmetry breaking is due to the dissolution of some D3-branes inside the D7-branes triggered by the electric field associated to the isospin charge. The massless spectrum contains Goldstone bosons and their fermionic superpartners. The massive spectrum contains long-lived, mesonic quasi-particles if $n_{\rm \tiny{I}} \ll \mu_{\rm \tiny{I}}^3$, and no quasi-particles otherwise. We discuss the possibility that, despite the presence of mass scales and charge densities in the theory, conformal and relativistic invariance arise as emergent symmetries in the infrared.

[ { "created": "Wed, 25 Jul 2018 16:37:59 GMT", "version": "v1" }, { "created": "Mon, 27 May 2019 09:12:22 GMT", "version": "v2" } ]

2019-06-26

[ [ "Faedo", "Anton F.", "" ], [ "Mateos", "David", "" ], [ "Pantelidou", "Christiana", "" ], [ "Tarrio", "Javier", "" ] ]

We use holography to study $d=4$, $\mathcal{N}=4$, SU($N_{\rm \tiny{c}}$) super Yang-Mills coupled to $N_{\rm \tiny{F}} \ll N_{\rm \tiny{c}}$ quark flavors. We place the theory at finite isospin density $n_{\rm \tiny{I}}$ by turning on an isospin chemical potential $\mu_{\rm \tiny{I}}=M_{\rm \tiny{q}}$, with $M_{\rm \tiny{q}}$ the quark mass. We also turn on two R-symmetry charge densities $n_1=n_2$. We show that the ground state is a supersymmetric, superfluid, color superconductor, namely a finite-density state that preserves a fraction of supersymmetry in which part of the global symmetries and part of the gauge symmetries are spontaneously broken. The holographic description consists of $N_{\rm \tiny{F}}$ D7-brane probes in $\mbox{AdS}_5 \times \mbox{S}^5$. The symmetry breaking is due to the dissolution of some D3-branes inside the D7-branes triggered by the electric field associated to the isospin charge. The massless spectrum contains Goldstone bosons and their fermionic superpartners. The massive spectrum contains long-lived, mesonic quasi-particles if $n_{\rm \tiny{I}} \ll \mu_{\rm \tiny{I}}^3$, and no quasi-particles otherwise. We discuss the possibility that, despite the presence of mass scales and charge densities in the theory, conformal and relativistic invariance arise as emergent symmetries in the infrared.

4.46089

4.274465

4.66908

4.068072

4.120316

4.125159

4.526542

4.111554

4.216084

4.831975

4.10504

4.273044

4.417404

4.224628

4.277531

4.277262

4.1714

4.169331

4.270764

4.448492

4.284004

1504.03723

Andrew Hickling

Bulk Duals for Generic Static, Scale-Invariant Holographic CFT States

null

10.1088/0264-9381/32/17/175011

null

hep-th

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

Near horizon geometries have been widely studied, and have found many applications. Certain static, near horizon geometries are now understood to be bulk duals to CFTs with static scale-invariant sources under the AdS/CFT correspondence. However, static near-horizon geometries aren't just scale-invariant, they have extra `enhanced' symmetry. This means that they can only be the bulk duals for a special class of static, scale-invariant sources that share this enhanced symmetry. The purpose of this paper is to consider bulk duals for more generic static, scale-invariant sources, without this extra symmetry. These solutions are quite different to near-horizon geometries. In place of the extremal horizon they have a null singularity. We find specific examples of such bulk geometries numerically for the cases of pure gravity, and for an abelian gauge field.

[ { "created": "Tue, 14 Apr 2015 21:00:56 GMT", "version": "v1" } ]

2015-08-26

[ [ "Hickling", "Andrew", "" ] ]

Near horizon geometries have been widely studied, and have found many applications. Certain static, near horizon geometries are now understood to be bulk duals to CFTs with static scale-invariant sources under the AdS/CFT correspondence. However, static near-horizon geometries aren't just scale-invariant, they have extra `enhanced' symmetry. This means that they can only be the bulk duals for a special class of static, scale-invariant sources that share this enhanced symmetry. The purpose of this paper is to consider bulk duals for more generic static, scale-invariant sources, without this extra symmetry. These solutions are quite different to near-horizon geometries. In place of the extremal horizon they have a null singularity. We find specific examples of such bulk geometries numerically for the cases of pure gravity, and for an abelian gauge field.

8.574074

8.405077

8.748826

8.130113

8.333588

8.785573

8.62361

8.410087

8.339294

9.294784

8.435399

7.975627

7.965221

7.827466

7.854841

8.213392

7.93311

8.176662

7.951192

8.175736

7.927663

hep-th/0401160

T. Damour

Thibault Damour

The entropy of black holes: a primer

51 pages, 4 figures, talk given at the "Poincare seminar" (Paris, 6 December 2003), to appear in Poincare Seminar 2003 (Birkhauser)

null

10.1007/978-3-0348-7932-3_10

null

hep-th astro-ph gr-qc

null

After recalling the definition of black holes, and reviewing their energetics and their classical thermodynamics, one expounds the conjecture of Bekenstein, attributing an entropy to black holes, and the calculation by Hawking of the semi-classical radiation spectrum of a black hole, involving a thermal (Planckian) factor. One then discusses the attempts to interpret the black-hole entropy as the logarithm of the number of quantum micro-states of a macroscopic black hole, with particular emphasis on results obtained within string theory. After mentioning the (technically cleaner, but conceptually more intricate) case of supersymmetric (BPS) black holes and the corresponding counting of the degeneracy of Dirichlet-brane systems, one discusses in some detail the ``correspondence'' between massive string states and non-supersymmetric Schwarzschild black holes.

[ { "created": "Thu, 22 Jan 2004 16:54:38 GMT", "version": "v1" } ]

2015-06-26

[ [ "Damour", "Thibault", "" ] ]

After recalling the definition of black holes, and reviewing their energetics and their classical thermodynamics, one expounds the conjecture of Bekenstein, attributing an entropy to black holes, and the calculation by Hawking of the semi-classical radiation spectrum of a black hole, involving a thermal (Planckian) factor. One then discusses the attempts to interpret the black-hole entropy as the logarithm of the number of quantum micro-states of a macroscopic black hole, with particular emphasis on results obtained within string theory. After mentioning the (technically cleaner, but conceptually more intricate) case of supersymmetric (BPS) black holes and the corresponding counting of the degeneracy of Dirichlet-brane systems, one discusses in some detail the ``correspondence'' between massive string states and non-supersymmetric Schwarzschild black holes.

7.821803

7.737988

8.117694

7.595015

7.568013

7.362501

7.822465

7.391523

8.097127

8.936432

7.613662

7.33681

7.702823

7.447229

7.566904

7.661815

7.496573

7.491904

7.621131

7.452085

7.494021

1406.2699

Francesco Benini

Francesco Benini, Daniel S. Park, Peng Zhao

Cluster algebras from dualities of 2d N=(2,2) quiver gauge theories

49 pages + appendices, 8 figures

Commun.Math.Phys. 340 (2015) 1, 47-104

10.1007/s00220-015-2452-3

null

hep-th math.RA

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

We interpret certain Seiberg-like dualities of two-dimensional N=(2,2) quiver gauge theories with unitary groups as cluster mutations in cluster algebras, originally formulated by Fomin and Zelevinsky. In particular, we show how the complexified Fayet-Iliopoulos parameters of the gauge group factors transform under those dualities and observe that they are in fact related to the dual cluster variables of cluster algebras. This implies that there is an underlying cluster algebra structure in the quantum Kahler moduli space of manifolds constructed from the corresponding Kahler quotients. We study the S^2 partition function of the gauge theories, showing that it is invariant under dualities/mutations, up to an overall normalization factor whose physical origin and consequences we spell out in detail. We also present similar dualities in N=(2,2)* quiver gauge theories, which are related to dualities of quantum integrable spin chains.

[ { "created": "Tue, 10 Jun 2014 20:00:17 GMT", "version": "v1" } ]

2015-09-15

[ [ "Benini", "Francesco", "" ], [ "Park", "Daniel S.", "" ], [ "Zhao", "Peng", "" ] ]

We interpret certain Seiberg-like dualities of two-dimensional N=(2,2) quiver gauge theories with unitary groups as cluster mutations in cluster algebras, originally formulated by Fomin and Zelevinsky. In particular, we show how the complexified Fayet-Iliopoulos parameters of the gauge group factors transform under those dualities and observe that they are in fact related to the dual cluster variables of cluster algebras. This implies that there is an underlying cluster algebra structure in the quantum Kahler moduli space of manifolds constructed from the corresponding Kahler quotients. We study the S^2 partition function of the gauge theories, showing that it is invariant under dualities/mutations, up to an overall normalization factor whose physical origin and consequences we spell out in detail. We also present similar dualities in N=(2,2)* quiver gauge theories, which are related to dualities of quantum integrable spin chains.

7.504366

7.895318

9.194052

6.866284

8.290009

8.087162

7.616545

6.775454

7.18291

10.298361

6.97362

7.275065

7.680741

7.063262

7.054574

7.139524

7.559795

7.030132

6.961788

7.458386

7.009605

1507.02327

Anatoly Shabad

Tiago C. Adorno (1), Dmitry M. Gitman (1,2,3), Anatoly E. Shabad (2,3) ((1) Instituto de Fisica, Universidade de Sao Paulo, CEP 05508-090, Sao Paulo, S. P., Brazil (2) P. N. Lebedev Physics Institute, Leninsky Prospekt 53, Moscow 117924, Russia (3) Tomsk State University, Lenin Prospekt 36, Tomsk 634050, Russia)

When electric charge becomes also magnetic

Four pages, no figures

Phys. Rev. D 92, 041702 (2015)

10.1103/PhysRevD.92.041702

null

hep-th

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

In nonlinear electrodynamics, QED included, we find a static solution to the field equations with an electric charge as its source, which is comprised of homogeneous parallel magnetic and electric fields, and a radial spherically-nonsymmetric long-range magnetic field, whose magnetic charge is proportional to the electric charge and also depends on the homogeneous component of the solution.

[ { "created": "Wed, 8 Jul 2015 22:29:13 GMT", "version": "v1" } ]

2015-09-09

[ [ "Adorno", "Tiago C.", "" ], [ "Gitman", "Dmitry M.", "" ], [ "Shabad", "Anatoly E.", "" ] ]

In nonlinear electrodynamics, QED included, we find a static solution to the field equations with an electric charge as its source, which is comprised of homogeneous parallel magnetic and electric fields, and a radial spherically-nonsymmetric long-range magnetic field, whose magnetic charge is proportional to the electric charge and also depends on the homogeneous component of the solution.

17.3165

15.875438

15.894648

16.076477

17.762703

13.861142

16.205362

13.625587

16.593672

16.498117

14.42732

15.508275

15.699389

15.562241

15.833258

16.610384

15.629949

16.926304

15.407751

15.926691

15.147958

1910.12981

Kostas Filippas

Non-integrability on AdS$_3$ supergravity backgrounds

22 pages plus appendices. Added references, corrected typos, corrected/added comments, improved title

null

10.1007/JHEP02(2020)027

null

hep-th

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

We investigate classical integrability on two recently discovered classes of backgrounds in massive IIA supergravity. These vacua are of the form AdS$_3\times\,$S$^2\times\mathbb{R}\times\,$CY$_2$, they preserve small $\mathcal{N}=(0,4)$ supersymmetry and are associated with D8$-$D6$-$D4$-$D2 Hanany-Witten brane set-ups. We choose an appropriate string embedding and use differential Galois theory on its associated Hamiltonian system, intending to produce the conditions under which Liouvillian solutions may occur. By constraining the parameters of the system according to the consistency of the associate brane set-ups we prove that no such conditions exist, yielding the complete non-integrability of these vacua. That is, up to the trivial cases where the background reduces to the Abelian and non-Abelian T-dual of AdS$_3\times\,$S$^3\times\,$T$^4$.

[ { "created": "Mon, 28 Oct 2019 21:47:52 GMT", "version": "v1" }, { "created": "Mon, 11 Nov 2019 12:09:17 GMT", "version": "v2" }, { "created": "Tue, 21 Jan 2020 15:44:50 GMT", "version": "v3" } ]

2020-03-18

[ [ "Filippas", "Kostas", "" ] ]

We investigate classical integrability on two recently discovered classes of backgrounds in massive IIA supergravity. These vacua are of the form AdS$_3\times\,$S$^2\times\mathbb{R}\times\,$CY$_2$, they preserve small $\mathcal{N}=(0,4)$ supersymmetry and are associated with D8$-$D6$-$D4$-$D2 Hanany-Witten brane set-ups. We choose an appropriate string embedding and use differential Galois theory on its associated Hamiltonian system, intending to produce the conditions under which Liouvillian solutions may occur. By constraining the parameters of the system according to the consistency of the associate brane set-ups we prove that no such conditions exist, yielding the complete non-integrability of these vacua. That is, up to the trivial cases where the background reduces to the Abelian and non-Abelian T-dual of AdS$_3\times\,$S$^3\times\,$T$^4$.

7.562894

7.365505

9.070409

7.356118

7.842556

8.055249

7.802442

7.363246

8.166664

9.768716

7.48206

7.468047

8.402456

7.39724

7.639443

7.387538

7.464378

7.296831

7.442102

7.940664

7.436082

hep-th/9201063

Marc Kamionkowski

Marc Kamionkowski and John March-Russell

Are Textures Natural?

9pp

Phys.Rev.Lett. 69 (1992) 1485-1488

10.1103/PhysRevLett.69.1485

null

hep-th

null

We make the simple observation that, because of global symmetry violating higher-dimension operators expected to be induced by Planck-scale physics, textures are generically much too short-lived to be of use for large-scale structure formation.

[ { "created": "Tue, 28 Jan 1992 22:05:04 GMT", "version": "v1" }, { "created": "Wed, 29 Jan 1992 23:12:26 GMT", "version": "v2" } ]

2009-10-22

[ [ "Kamionkowski", "Marc", "" ], [ "March-Russell", "John", "" ] ]

We make the simple observation that, because of global symmetry violating higher-dimension operators expected to be induced by Planck-scale physics, textures are generically much too short-lived to be of use for large-scale structure formation.

20.700367

16.268291

14.857347

16.606825

16.064388

18.778858

16.195927

15.413795

15.548322

13.453905

16.758053

17.483454

17.003641

14.8521

16.480156

15.5978

16.987696

17.198919

15.064078

16.143833

16.185511

hep-th/0611265

Parthasarathi Mitra

P. Mitra

Hawking temperature from tunnelling formalism

REVTeX, 3 pages; version accepted in Phys. Letters B

Phys.Lett.B648:240-242,2007

10.1016/j.physletb.2007.03.002

null

hep-th gr-qc

null

It has recently been suggested that the attempt to understand Hawking radiation as tunnelling across black hole horizons produces a Hawking temperature double the standard value. It is explained here how one can obtain the standard value in the same tunnelling approach.

[ { "created": "Fri, 24 Nov 2006 11:09:23 GMT", "version": "v1" }, { "created": "Tue, 28 Nov 2006 11:13:43 GMT", "version": "v2" }, { "created": "Mon, 5 Mar 2007 05:25:48 GMT", "version": "v3" } ]

2008-11-26

[ [ "Mitra", "P.", "" ] ]

It has recently been suggested that the attempt to understand Hawking radiation as tunnelling across black hole horizons produces a Hawking temperature double the standard value. It is explained here how one can obtain the standard value in the same tunnelling approach.

9.739616

8.017957

7.763186

7.784255

8.307795

8.526217

7.855572

6.785101

7.701648

8.739279

8.22393

9.61623

8.577349

8.623522

8.219032

8.689013

8.520152

8.627441

8.415016

9.11937

8.867772

hep-th/0610163

Pedro J. Silva

Phase transitions and statistical mechanics for BPS Black Holes in AdS/CFT

14 pages, 5 figures, corrected typos and references added

JHEP 0703:015,2007

10.1088/1126-6708/2007/03/015

null

hep-th

null

Using the general framework developed in hep-th/0607056, we study in detail the phase space of BPS Black Holes in AdS, for the case where all three electric charges are equal. Although these solitons are supersymmetric with zero Hawking temperature, it turns out that these Black Holes have rich phase structure with sharp phase transitions associated to a corresponding critical generalized temperature. We are able to rewrite the gravity variables in terms of dual CFT variables and compare the gravity phase diagram with the free dual CFT phase diagram. In particular, the elusive supergravity constraint characteristic of these Black Holes is particulary simple and in fact appears naturally in the dual CFT in the definition of the BPS Index. Armed with this constraint, we find perfect match between BH and free CFT charges up to expected constant factors.

[ { "created": "Sun, 15 Oct 2006 11:15:20 GMT", "version": "v1" }, { "created": "Wed, 8 Nov 2006 15:36:09 GMT", "version": "v2" } ]

2010-10-27

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

Using the general framework developed in hep-th/0607056, we study in detail the phase space of BPS Black Holes in AdS, for the case where all three electric charges are equal. Although these solitons are supersymmetric with zero Hawking temperature, it turns out that these Black Holes have rich phase structure with sharp phase transitions associated to a corresponding critical generalized temperature. We are able to rewrite the gravity variables in terms of dual CFT variables and compare the gravity phase diagram with the free dual CFT phase diagram. In particular, the elusive supergravity constraint characteristic of these Black Holes is particulary simple and in fact appears naturally in the dual CFT in the definition of the BPS Index. Armed with this constraint, we find perfect match between BH and free CFT charges up to expected constant factors.

16.468004

16.094221

17.322128

15.208155

16.055761

16.464512

17.465902

16.420969

15.628682

18.923492

15.226844

15.700728

16.548716

15.755561

15.734464

15.455832

16.117273

15.948824

15.625814

16.121042

15.672899

1704.04148

Igor Samsonov

I.B. Samsonov

Low-energy effective action in two-dimensional SQED: A two-loop analysis

40 pages; v2: references added, typos corrected

null

10.1007/JHEP07(2017)146

null

hep-th

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

We study two-loop quantum corrections to the low-energy effective actions in N=(2,2) and N=(4,4) SQED in the Coulomb branch. In the latter model, the low-energy effective action is described by a generalized Kahler potential which depends on both chiral and twisted chiral superfields. We demonstrate that this generalized Kahler potential is one-loop exact and corresponds to the N=(4,4) sigma-model with torsion presented by Rocek, Schoutens and Sevrin. In the N=(2,2) SQED, the effective Kahler potential is not protected against higher-loop quantum corrections. The two-loop quantum corrections to this potential and the corresponding sigma-model metric are explicitly found.

[ { "created": "Thu, 13 Apr 2017 14:23:03 GMT", "version": "v1" }, { "created": "Fri, 21 Apr 2017 07:18:20 GMT", "version": "v2" } ]

2017-09-13

[ [ "Samsonov", "I. B.", "" ] ]

We study two-loop quantum corrections to the low-energy effective actions in N=(2,2) and N=(4,4) SQED in the Coulomb branch. In the latter model, the low-energy effective action is described by a generalized Kahler potential which depends on both chiral and twisted chiral superfields. We demonstrate that this generalized Kahler potential is one-loop exact and corresponds to the N=(4,4) sigma-model with torsion presented by Rocek, Schoutens and Sevrin. In the N=(2,2) SQED, the effective Kahler potential is not protected against higher-loop quantum corrections. The two-loop quantum corrections to this potential and the corresponding sigma-model metric are explicitly found.

5.131227

4.873754

6.123656

4.891982

5.107902

4.947176

5.143934

4.897168

4.687255

6.354043

5.156214

5.128148

5.452147

4.883247

4.926976

4.845876

4.792112

4.977781

4.941905

5.201469

4.989343

hep-th/9712075

Chris Hull

C.M. Hull

U-Duality and BPS Spectrum of Super Yang-Mills Theory and M-Theory

18 Pages, Tex, Phyzzx Macro. References added, minor corrections

JHEP 9807:018,1998

10.1088/1126-6708/1998/07/018

QMW-97-39, LPTENS 97/59

hep-th

null

It is shown that the BPS spectrum of Super-Yang-Mills theory on $T^d\times \R$, which fits into representations of the U-duality group for M-theory compactified on $T^{d}$, in accordance with the matrix-theory conjecture, in fact fits into representations of the U-duality group for M-theory on $T^{d+1}$, the extra dualities realised as generalised Nahm transformations. The spectrum of BPS M-branes is analysed, new branes are discussed and matrix theory applications described.

[ { "created": "Sun, 7 Dec 1997 14:43:52 GMT", "version": "v1" } ]

2010-02-03

[ [ "Hull", "C. M.", "" ] ]

It is shown that the BPS spectrum of Super-Yang-Mills theory on $T^d\times \R$, which fits into representations of the U-duality group for M-theory compactified on $T^{d}$, in accordance with the matrix-theory conjecture, in fact fits into representations of the U-duality group for M-theory on $T^{d+1}$, the extra dualities realised as generalised Nahm transformations. The spectrum of BPS M-branes is analysed, new branes are discussed and matrix theory applications described.

10.14397

9.606239

11.802035

9.789633

8.451818

9.216637

10.813589

9.683546

9.115277

11.836411

9.549771

9.304277

10.859529

9.290936

9.10078

9.077594

9.035165

8.868969

9.060011

9.9923

8.900438

hep-th/0201004

Robert Mann

A.M. Ghezelbash, D. Ida, R.B. Mann and T. Shiromizu

Slicing and Brane Dependence of the (A)dS/CFT Correspondence

latex, 6 pages, minor changes in wording, reference added

Phys.Lett. B535 (2002) 315-320

10.1016/S0370-2693(02)01773-2

WATPHYS-TH02/01

hep-th

null

We investigate the slicing dependence of the relationship between conserved quantities in the (A)dS/CFT correspondence. Specifically, we show that the Casimir energy depends upon the topology and geometry of spacetime foliations of the bulk near the conformal boundary. We point out that the determination of the brane location in brane-world scenarios exhibits a similar slicing dependence, and we comment on this in the context of the AdS/CFT correspondence conjecture.

[ { "created": "Wed, 2 Jan 2002 14:40:35 GMT", "version": "v1" }, { "created": "Mon, 7 Jan 2002 21:19:46 GMT", "version": "v2" }, { "created": "Mon, 11 Mar 2002 20:58:38 GMT", "version": "v3" } ]

2009-11-07

[ [ "Ghezelbash", "A. M.", "" ], [ "Ida", "D.", "" ], [ "Mann", "R. B.", "" ], [ "Shiromizu", "T.", "" ] ]

We investigate the slicing dependence of the relationship between conserved quantities in the (A)dS/CFT correspondence. Specifically, we show that the Casimir energy depends upon the topology and geometry of spacetime foliations of the bulk near the conformal boundary. We point out that the determination of the brane location in brane-world scenarios exhibits a similar slicing dependence, and we comment on this in the context of the AdS/CFT correspondence conjecture.

10.006409

9.639774

9.312201

9.308327

9.316742

8.914749

9.867829

9.134317

9.120325

10.026553

8.467509

8.659065

8.766837

8.691586

8.524502

8.701437

8.706892

8.667585

8.649491

9.062735

8.351573

hep-th/0504137

Qing-Guo Huang

Qing-Guo Huang and Ke Ke

Non-Gaussianity in KKLMMT model

13 pages, 2 figuers, harvmac; references added

Phys.Lett. B633 (2006) 447-452

10.1016/j.physletb.2005.12.038

null

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

null

We investigate the non-Gaussianity of the brane inflation which happens in the same throat in the framework of the generalized KKLMMT model. When we take the constraints from non-Gaussianity into account, various consequences are discussed including the bound on the string coupling, such as the string coupling is larger than 0.08 and the effective string scale on the brane is larger than $1.3 \times 10^{-4} M_p$ in KKLMMT model.

[ { "created": "Sat, 16 Apr 2005 11:50:22 GMT", "version": "v1" }, { "created": "Mon, 2 May 2005 06:22:50 GMT", "version": "v2" } ]

2009-11-11

[ [ "Huang", "Qing-Guo", "" ], [ "Ke", "Ke", "" ] ]

We investigate the non-Gaussianity of the brane inflation which happens in the same throat in the framework of the generalized KKLMMT model. When we take the constraints from non-Gaussianity into account, various consequences are discussed including the bound on the string coupling, such as the string coupling is larger than 0.08 and the effective string scale on the brane is larger than $1.3 \times 10^{-4} M_p$ in KKLMMT model.

9.926832

10.051016

10.315713

8.65972

9.674293

9.564034

9.502462

9.390141

8.989323

11.803057

8.488098

9.347632

9.076619

8.937148

9.184433

9.20748

9.207226

9.116912

9.274584

9.672242

8.854409

hep-th/9706211

Tomasz Taylor

I. Antoniadis, H. Partouche, T.R. Taylor

Lectures on Heterotic-Type I Duality

14 pages, LaTeX, espcrc2.sty

Nucl.Phys.Proc.Suppl. 61A (1998) 58-71; Nucl.Phys.Proc.Suppl. 67 (1998) 3-16

10.1016/S0920-5632(98)00114-5

CERN--TH/97-136; CPTH--5370.0697

hep-th

null

We present a review of heterotic-type I string duality. In particular, we discuss the effective field theory of six- and four-dimensional compactifications with N>1 supersymmetries. We then describe various duality tests by comparing gauge couplings, N=2 prepotentials, as well as higher-derivative F-terms. Based on invited lectures delivered at: 33rd Karpacz Winter School of Theoretical Physics ``Duality, Strings and Fields,'' Przesieka, Poland, 13 - 22 February 1997; Trieste Conference on Duality Symmetries in String Theory, Trieste, Italy, 1 - 4 April 1997; Cargese Summer School ``Strings, Branes and Dualities,'' Cargese, France, 26 May - 14 June 1997.

[ { "created": "Sat, 28 Jun 1997 17:28:35 GMT", "version": "v1" } ]

2009-10-30

[ [ "Antoniadis", "I.", "" ], [ "Partouche", "H.", "" ], [ "Taylor", "T. R.", "" ] ]

We present a review of heterotic-type I string duality. In particular, we discuss the effective field theory of six- and four-dimensional compactifications with N>1 supersymmetries. We then describe various duality tests by comparing gauge couplings, N=2 prepotentials, as well as higher-derivative F-terms. Based on invited lectures delivered at: 33rd Karpacz Winter School of Theoretical Physics ``Duality, Strings and Fields,'' Przesieka, Poland, 13 - 22 February 1997; Trieste Conference on Duality Symmetries in String Theory, Trieste, Italy, 1 - 4 April 1997; Cargese Summer School ``Strings, Branes and Dualities,'' Cargese, France, 26 May - 14 June 1997.

5.12766

4.662292

5.917409

4.730914

4.850471

4.46799

4.667771

4.763654

4.882607

7.010766

4.91569

4.66736

5.80175

4.958244

4.905277

5.123377

4.907423

4.840633

4.888613

5.602894

4.798604

hep-th/9404122

Junichi Shiraishi

Jun'ichi Shiraishi

A trial to find an elliptic quantum algebra for $sl_2$ using the Heisenberg and Clifford algebra

4 pages

Mod.Phys.Lett. A9 (1994) 2301-2304

10.1142/S0217732394002161

null

hep-th

null

A Heisenberg-Clifford realization of a deformed $U(sl_{2})$ by two parameters $p$ and $q$ is discussed. The commutation relations for this deformed algebra have interesting connection with the theta functions.

[ { "created": "Wed, 20 Apr 1994 12:18:26 GMT", "version": "v1" } ]

2015-06-26

[ [ "Shiraishi", "Jun'ichi", "" ] ]

A Heisenberg-Clifford realization of a deformed $U(sl_{2})$ by two parameters $p$ and $q$ is discussed. The commutation relations for this deformed algebra have interesting connection with the theta functions.

14.08718

11.82673

13.675871

10.494182

10.107828

12.250159

10.592047

10.600924

10.62688

13.135557

11.454877

10.724916

12.228846

10.848011

11.33362

11.156716

10.865962

11.65369

11.199431

11.253848

10.264952

1009.3277

Matthew Kleban

Simeon Hellerman and Matthew Kleban

Dynamical Cobordisms in General Relativity and String Theory

35 pages, 5 figures, LaTeX v2: reference added

JHEP 1102:022,2011

10.1007/JHEP02(2011)022

IPMU-10-0156

hep-th gr-qc

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

We describe a class of time-dependent solutions in string- or M-theory that are exact with respect to alpha-prime and curvature corrections and interpolate in physical space between regions in which the low energy physics is well-approximated by different string theories and string compactifications. The regions are connected by expanding "domain walls" but are not separated by causal horizons, and physical excitations can propagate between them. As specific examples we construct solutions that interpolate between oriented and unoriented string theories, and also between type II and heterotic theories. Our solutions can be weakly curved and under perturbative control everywhere and can asymptote to supersymmetric at late times.

[ { "created": "Thu, 16 Sep 2010 20:13:09 GMT", "version": "v1" }, { "created": "Sat, 6 Nov 2010 19:31:35 GMT", "version": "v2" } ]

2011-02-15

[ [ "Hellerman", "Simeon", "" ], [ "Kleban", "Matthew", "" ] ]

We describe a class of time-dependent solutions in string- or M-theory that are exact with respect to alpha-prime and curvature corrections and interpolate in physical space between regions in which the low energy physics is well-approximated by different string theories and string compactifications. The regions are connected by expanding "domain walls" but are not separated by causal horizons, and physical excitations can propagate between them. As specific examples we construct solutions that interpolate between oriented and unoriented string theories, and also between type II and heterotic theories. Our solutions can be weakly curved and under perturbative control everywhere and can asymptote to supersymmetric at late times.

11.46923

11.52647

12.340593

11.127309

11.388437

11.154067

12.294376

10.239438

11.483572

13.996995

11.275607

11.035276

11.65848

10.797805

11.004313

10.668953

10.820692

10.803529

10.808011

10.985887

10.508451

1105.4862

Ant\'on F. Faedo

Irene Amado and Anton F. Faedo

Lifshitz black holes in string theory

19 pages, 7 figures. v2 references added

JHEP 1107:004,2011

10.1007/JHEP07(2011)004

SISSA 21/2011/EP

hep-th

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

We provide the first black hole solutions with Lifshitz asymptotics found in string theory. These are expected to be dual to models enjoying anisotropic scale invariance with dynamical exponent z=2 at finite temperature. We employ a consistent truncation of type IIB supergravity to four dimensions with an arbitrary 5-dimensional Einstein manifold times a circle as internal geometry. New interesting features are found that significantly differ from previous results in phenomenological models. In particular, small black holes are shown to be thermodynamically unstable, analogously to the usual AdS-Schwarzschild black holes, and extremality is never reached. This signals a possible Hawking-Page like phase transition at low temperatures.

[ { "created": "Tue, 24 May 2011 19:29:07 GMT", "version": "v1" }, { "created": "Fri, 3 Jun 2011 10:38:17 GMT", "version": "v2" } ]

2015-05-28

[ [ "Amado", "Irene", "" ], [ "Faedo", "Anton F.", "" ] ]

We provide the first black hole solutions with Lifshitz asymptotics found in string theory. These are expected to be dual to models enjoying anisotropic scale invariance with dynamical exponent z=2 at finite temperature. We employ a consistent truncation of type IIB supergravity to four dimensions with an arbitrary 5-dimensional Einstein manifold times a circle as internal geometry. New interesting features are found that significantly differ from previous results in phenomenological models. In particular, small black holes are shown to be thermodynamically unstable, analogously to the usual AdS-Schwarzschild black holes, and extremality is never reached. This signals a possible Hawking-Page like phase transition at low temperatures.

8.677372

7.962368

9.456776

8.075255

8.51517

8.240078

7.872509

7.787339

7.332901

9.673369

7.628496

8.150449

8.368431

8.135132

8.572618

8.021416

8.147172

8.497911

8.168218

8.6654

8.081127

hep-th/0508179

Jorgen Rasmussen

Affine Jordan cells, logarithmic correlators, and hamiltonian reduction

31 pages, v2: reference corrected, v3: version to be published

Nucl.Phys.B736:225-258,2006

10.1016/j.nuclphysb.2005.12.009

null

hep-th

null

We study a particular type of logarithmic extension of SL(2,R) Wess-Zumino-Witten models. It is based on the introduction of affine Jordan cells constructed as multiplets of quasi-primary fields organized in indecomposable representations of the Lie algebra sl(2). We solve the simultaneously imposed set of conformal and SL(2,R) Ward identities for two- and three-point chiral blocks. These correlators will in general involve logarithmic terms and may be represented compactly by considering spins with nilpotent parts. The chiral blocks are found to exhibit hierarchical structures revealed by computing derivatives with respect to the spins. We modify the Knizhnik-Zamolodchikov equations to cover affine Jordan cells and show that our chiral blocks satisfy these equations. It is also demonstrated that a simple and well-established prescription for hamiltonian reduction at the level of ordinary correlators extends straightforwardly to the logarithmic correlators as the latter then reduce to the known results for two- and three-point conformal blocks in logarithmic conformal field theory.

[ { "created": "Wed, 24 Aug 2005 15:34:47 GMT", "version": "v1" }, { "created": "Thu, 8 Sep 2005 01:40:15 GMT", "version": "v2" }, { "created": "Tue, 3 Jan 2006 01:54:11 GMT", "version": "v3" } ]

2008-11-26

[ [ "Rasmussen", "Jorgen", "" ] ]

We study a particular type of logarithmic extension of SL(2,R) Wess-Zumino-Witten models. It is based on the introduction of affine Jordan cells constructed as multiplets of quasi-primary fields organized in indecomposable representations of the Lie algebra sl(2). We solve the simultaneously imposed set of conformal and SL(2,R) Ward identities for two- and three-point chiral blocks. These correlators will in general involve logarithmic terms and may be represented compactly by considering spins with nilpotent parts. The chiral blocks are found to exhibit hierarchical structures revealed by computing derivatives with respect to the spins. We modify the Knizhnik-Zamolodchikov equations to cover affine Jordan cells and show that our chiral blocks satisfy these equations. It is also demonstrated that a simple and well-established prescription for hamiltonian reduction at the level of ordinary correlators extends straightforwardly to the logarithmic correlators as the latter then reduce to the known results for two- and three-point conformal blocks in logarithmic conformal field theory.

11.271923

11.131172

13.799721

10.613632

11.892555

11.305134

11.31369

11.166488

10.420732

13.777078

11.652082

10.98989

11.687004

10.806713

10.419365

10.375669

10.785089

10.772217

10.761379

11.737612

10.7236

hep-th/0101141

Jose Manuel velhinho

J. M. Velhinho

Some properties of generalized connections in quantum gravity

LaTeX, 11 pages. Submitted to the on-line proceedings of the Ninth Marcel Grossmann Meeting (Rome, July 2000). Talk based on hep-th/0011200

null

10.1142/9789812777386_0220

null

hep-th

null

The quantum completion of the space of connections in a manifold can be seen as the set of all morphisms from the groupoid of the edges of the manifold to the (compact) gauge group. This algebraic construction generalizes the analogous description of the gauge-invariant quantum configuration space of Ashtekar and Isham. We present a description of the groupoid approach which brings the gauge-invariant degrees of freedom to the foreground, thus making the action of the gauge group more transparent.

[ { "created": "Mon, 22 Jan 2001 15:34:30 GMT", "version": "v1" } ]

2017-08-23

[ [ "Velhinho", "J. M.", "" ] ]

The quantum completion of the space of connections in a manifold can be seen as the set of all morphisms from the groupoid of the edges of the manifold to the (compact) gauge group. This algebraic construction generalizes the analogous description of the gauge-invariant quantum configuration space of Ashtekar and Isham. We present a description of the groupoid approach which brings the gauge-invariant degrees of freedom to the foreground, thus making the action of the gauge group more transparent.

9.456471

8.841445

9.161728

8.545096

8.89322

8.529391

10.670017

8.657555

10.152699

9.9199

9.298898

9.394863

8.669942

8.647666

8.867525

8.79236

8.837885

8.517405

8.973135

8.871953

8.822645

1112.4599

Huiquan Li

Strings from geometric tachyon in Rindler space and black hole thermodynamics

12 pages

null

10.1007/JHEP03(2012)003

USTC-ICTS-11-14

hep-th gr-qc

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

The dynamics of a probe particle or wrapped brane moving in the two-dimensional Rindler space can be described by a time-dependent tachyon field theory. Using knowledge of tachyon condensation, we learn that the infalling brane gets thermalised and produces open string pairs at the Hagedorn temperature when entering into the near-horizon Rindler wedge. It is shown that the Hagedorn temperature of the infalling brane is equal to the Hawking temperature of the host black hole detected in the same time coordinate. The infalling brane will decay completely into closed strings, mainly massive modes, when it reaches the horizon in infinitely long time as observed by observers at spatial infinity. Preliminary estimates indicate that the degeneracy of states of the closed strings emitted from the infalling brane should be responsible for the increased entropy in the host black hole due to absorption of the brane.

[ { "created": "Tue, 20 Dec 2011 08:05:04 GMT", "version": "v1" }, { "created": "Thu, 1 Mar 2012 02:19:06 GMT", "version": "v2" } ]

2015-06-03

[ [ "Li", "Huiquan", "" ] ]

The dynamics of a probe particle or wrapped brane moving in the two-dimensional Rindler space can be described by a time-dependent tachyon field theory. Using knowledge of tachyon condensation, we learn that the infalling brane gets thermalised and produces open string pairs at the Hagedorn temperature when entering into the near-horizon Rindler wedge. It is shown that the Hagedorn temperature of the infalling brane is equal to the Hawking temperature of the host black hole detected in the same time coordinate. The infalling brane will decay completely into closed strings, mainly massive modes, when it reaches the horizon in infinitely long time as observed by observers at spatial infinity. Preliminary estimates indicate that the degeneracy of states of the closed strings emitted from the infalling brane should be responsible for the increased entropy in the host black hole due to absorption of the brane.

11.306274

9.329861

10.905251

9.929311

10.726695

10.581963

9.989568

10.175918

9.954084

11.190426

9.951023

10.37248

10.396655

9.969268

10.061827

10.006845

10.119719

10.051421

10.27748

10.476505

10.458467

hep-th/9208014

null

S.P. Gavrilov, D.M. Gitman

Quantization of systems with time-dependent constraints. Example of relativistic particle in plane wave

16 pg. , IFUSP/P-980-APRIL-1992

Class.Quant.Grav.10:57-67,1993

10.1088/0264-9381/10/1/008

null

hep-th

null

A modification of the canonical quantization procedure for systems with time-dependent second-class constraints is discussed and applied to the quantization of the relativistic particle in a plane wave. The time dependence of constraints appears in the problem in two ways. The Lagrangian depends on time explicitly by origin, and a special time-dependent gauge is used. Two possible approaches to the quantization are demonstrated in this case. One is to solve directly a system of operator equations, proposed by Tyutin and one of the authors (Gitman) as a generalization of Dirac canonical quantization in nonstationary case, and another to find first a canonical transformation, which makes it possible to discribe the dynamics in the physical sactor by means of some effective Hamiltonian. Quantum mechanics constructed in both cases proves to be equivalent to Klein-Gordon theory of the relativistic particle in a plane wave. The general conditions of unitarity of the dynamics in the physical sector are discussed.

[ { "created": "Tue, 4 Aug 1992 17:35:25 GMT", "version": "v1" } ]

2010-04-06

[ [ "Gavrilov", "S. P.", "" ], [ "Gitman", "D. M.", "" ] ]

A modification of the canonical quantization procedure for systems with time-dependent second-class constraints is discussed and applied to the quantization of the relativistic particle in a plane wave. The time dependence of constraints appears in the problem in two ways. The Lagrangian depends on time explicitly by origin, and a special time-dependent gauge is used. Two possible approaches to the quantization are demonstrated in this case. One is to solve directly a system of operator equations, proposed by Tyutin and one of the authors (Gitman) as a generalization of Dirac canonical quantization in nonstationary case, and another to find first a canonical transformation, which makes it possible to discribe the dynamics in the physical sactor by means of some effective Hamiltonian. Quantum mechanics constructed in both cases proves to be equivalent to Klein-Gordon theory of the relativistic particle in a plane wave. The general conditions of unitarity of the dynamics in the physical sector are discussed.

10.161002

11.931865

11.12441

10.740345

9.925197

11.00642

10.855956

9.830372

10.116787

11.329327

9.828986

9.806926

10.380835

9.693853

9.44451

9.632394

9.657001

9.895415

9.673432

10.477039

9.790667

hep-th/0702108

Ram Brustein

Cosmological Entropy Bounds

50 pages, 4 figures, To appear in ``String theory and fundamental interactions" published in celebration of the 65 birthday of Gabriele Veneziano

Lect.NotesPhys.737:619-659,2008

null

hep-th gr-qc

null

I review some basic facts about entropy bounds in general and about cosmological entropy bounds. Then I review the Causal Entropy Bound, the conditions for its validity and its application to the study of cosmological singularities. This article is based on joint work with Gabriele Veneziano and subsequent related research.

[ { "created": "Wed, 14 Feb 2007 15:02:48 GMT", "version": "v1" } ]

2008-11-26

[ [ "Brustein", "Ram", "" ] ]

I review some basic facts about entropy bounds in general and about cosmological entropy bounds. Then I review the Causal Entropy Bound, the conditions for its validity and its application to the study of cosmological singularities. This article is based on joint work with Gabriele Veneziano and subsequent related research.

11.923313

9.462943

9.753071

8.954061

9.698876

9.514121

10.010668

8.619793

9.088781

11.027184

9.293943

9.355202

10.381542

9.523739

10.413332

10.211168

9.728831

9.666663

9.889708

10.454293

9.863105

1612.01730

Arjun Bagchi

Arjun Bagchi, Mirah Gary, Zodinmawia

The BMS Bootstrap

5 pages

Phys. Rev. D 96, 025007 (2017)

10.1103/PhysRevD.96.025007

null

hep-th

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

We initiate a study of the bootstrap programme for field theories with BMS symmetry. Specifically, we look at two-dimensional field theories with BMS3 symmetry and, using highest weight representations, we construct the BMS bootstrap equation by formulating the notion of crossing symmetry in the four-point functions of these field theories. In the limit of large central charges, we find analytic expressions for the BMS blocks that are the basic ingredients for the solution of the bootstrap equation. This constitutes, to the best of our knowledge, the first example of the formulation and significant steps towards the solution of a bootstrap equation in a theory which is not a relativistic conformal field theory.

[ { "created": "Tue, 6 Dec 2016 10:03:32 GMT", "version": "v1" } ]

2017-07-19

[ [ "Bagchi", "Arjun", "" ], [ "Gary", "Mirah", "" ], [ "Zodinmawia", "", "" ] ]

We initiate a study of the bootstrap programme for field theories with BMS symmetry. Specifically, we look at two-dimensional field theories with BMS3 symmetry and, using highest weight representations, we construct the BMS bootstrap equation by formulating the notion of crossing symmetry in the four-point functions of these field theories. In the limit of large central charges, we find analytic expressions for the BMS blocks that are the basic ingredients for the solution of the bootstrap equation. This constitutes, to the best of our knowledge, the first example of the formulation and significant steps towards the solution of a bootstrap equation in a theory which is not a relativistic conformal field theory.

7.600879

6.385629

7.815102

6.930341

7.873197

6.769169

7.199471

6.518281

7.003288

7.981768

7.020519

6.990612

7.404272

6.811543

6.850592

6.70448

6.689065

6.683009

6.695929

7.387676

6.868508

hep-th/9202022

Konstantinos Anagnostopoulos

Lee Smolin

Recent Developments in Non-Perturbative Quantum Gravity

82 pages

null

hep-th

null

New results from the new variables/loop representation program of nonperturbative quantum gravity are presented, with a focus on results of Ashtekar, Rovelli and the author which greatly clarify the physical interpretation of the quantum states in the loop representation. These include: 1) The construction of a class of states which approximate smooth metrics for length measurements on scales, $L$, to order $l_{Planck}/L$. 2) The discovery that any such state must have discrete structure at the Planck length. 3) The construction of operators for the area of arbitrary surfaces and volumes of arbitrary regions and the discovery that these operators are finite. 4) The diagonalization of these operators and the demonstration that the spectra are discrete, so that in quantum gravity areas and volumes are quantized in Planck units. 5) The construction of finite diffeomorphism invariant operators that measure geometrical quantities such as the volume of the universe and the areas of minimal surfaces. These results are made possible by the use of new techniques for the regularization of operator products that respect diffeomorphism invariance. Several new results in the classical theory are also reviewed including the solution of the hamiltonian and diffeomorphism constraints in closed form of Capovilla, Dell and Jacobson and a new form of the action that induces Chern-Simon theory on the boundaries of spacetime. A new classical discretization of the Einstein equations is also presented.

[ { "created": "Fri, 7 Feb 1992 01:00:00 GMT", "version": "v1" } ]

2007-05-23

[ [ "Smolin", "Lee", "" ] ]

New results from the new variables/loop representation program of nonperturbative quantum gravity are presented, with a focus on results of Ashtekar, Rovelli and the author which greatly clarify the physical interpretation of the quantum states in the loop representation. These include: 1) The construction of a class of states which approximate smooth metrics for length measurements on scales, $L$, to order $l_{Planck}/L$. 2) The discovery that any such state must have discrete structure at the Planck length. 3) The construction of operators for the area of arbitrary surfaces and volumes of arbitrary regions and the discovery that these operators are finite. 4) The diagonalization of these operators and the demonstration that the spectra are discrete, so that in quantum gravity areas and volumes are quantized in Planck units. 5) The construction of finite diffeomorphism invariant operators that measure geometrical quantities such as the volume of the universe and the areas of minimal surfaces. These results are made possible by the use of new techniques for the regularization of operator products that respect diffeomorphism invariance. Several new results in the classical theory are also reviewed including the solution of the hamiltonian and diffeomorphism constraints in closed form of Capovilla, Dell and Jacobson and a new form of the action that induces Chern-Simon theory on the boundaries of spacetime. A new classical discretization of the Einstein equations is also presented.

7.934035

8.434957

7.954792

7.005013

7.751812

7.752763

8.392424

7.499228

8.182176

8.492892

7.492527

7.32249

7.551071

7.302959

7.386169

7.298919

7.271869

7.195562

7.480433

7.442208

7.3483

hep-th/0604041

Kristjan Runar Kristjansson

Andrei V. Frolov, Kristjan R. Kristjansson, Larus Thorlacius

Global geometry of two-dimensional charged black holes

REVTeX, 13 pages, 12 figures; Reference added

Phys.Rev.D73:124036,2006

10.1103/PhysRevD.73.124036

SU-ITP-06-11, NORDITA-2006-7, RH-09-2006

hep-th gr-qc

null

The semiclassical geometry of charged black holes is studied in the context of a two-dimensional dilaton gravity model where effects due to pair-creation of charged particles can be included in a systematic way. The classical mass-inflation instability of the Cauchy horizon is amplified and we find that gravitational collapse of charged matter results in a spacelike singularity that precludes any extension of the spacetime geometry. At the classical level, a static solution describing an eternal black hole has timelike singularities and multiple asymptotic regions. The corresponding semiclassical solution, on the other hand, has a spacelike singularity and a Penrose diagram like that of an electrically neutral black hole. Extremal black holes are destabilized by pair-creation of charged particles. There is a maximally charged solution for a given black hole mass but the corresponding geometry is not extremal. Our numerical data exhibits critical behavior at the threshold for black hole formation.

[ { "created": "Thu, 6 Apr 2006 13:15:49 GMT", "version": "v1" }, { "created": "Wed, 12 Apr 2006 08:15:39 GMT", "version": "v2" } ]

2008-11-26

[ [ "Frolov", "Andrei V.", "" ], [ "Kristjansson", "Kristjan R.", "" ], [ "Thorlacius", "Larus", "" ] ]

The semiclassical geometry of charged black holes is studied in the context of a two-dimensional dilaton gravity model where effects due to pair-creation of charged particles can be included in a systematic way. The classical mass-inflation instability of the Cauchy horizon is amplified and we find that gravitational collapse of charged matter results in a spacelike singularity that precludes any extension of the spacetime geometry. At the classical level, a static solution describing an eternal black hole has timelike singularities and multiple asymptotic regions. The corresponding semiclassical solution, on the other hand, has a spacelike singularity and a Penrose diagram like that of an electrically neutral black hole. Extremal black holes are destabilized by pair-creation of charged particles. There is a maximally charged solution for a given black hole mass but the corresponding geometry is not extremal. Our numerical data exhibits critical behavior at the threshold for black hole formation.

6.841564

7.680564

7.205976

6.908196

7.624177

7.773942

7.464423

7.394949

7.545685

7.726908

7.221634

6.920606

6.974298

6.867497

6.891327

6.937884

7.101502

6.925755

7.075537

6.864077

6.951717

hep-th/0111050

Gabriele Ferretti

G. Ferretti, P. Salomonson and D. Tsimpis

D-brane probes on G2 Orbifolds

16 pages; v2: References added; v3: Erroneous interpretation of twisted moduli corrected, acknowledgments added

JHEP 0203:004,2002

10.1088/1126-6708/2002/03/004

null

hep-th

null

We consider type IIB string theory on a seven dimensional orbifold with holonomy in G2. The motivation is to use D1-branes as probes of the geometry. The low energy theory on the D1-brane is a sigma-model with two real supercharges (N = (1,1) in two dimensional language). We study in detail the closed and open string sectors and propose a coupling of the twisted fields to the brane that modifies the vacuum moduli space so that the singularity at the origin is removed. Instead of coming from D-terms, which are not present here, the modification comes from a ``twisted'' mass term for the seven scalar multiplets on the brane. The proposed mechanism involves a generalization of the moment map.

[ { "created": "Tue, 6 Nov 2001 18:09:24 GMT", "version": "v1" }, { "created": "Tue, 20 Nov 2001 10:38:40 GMT", "version": "v2" }, { "created": "Wed, 30 Jan 2002 14:18:47 GMT", "version": "v3" } ]

2010-12-03

[ [ "Ferretti", "G.", "" ], [ "Salomonson", "P.", "" ], [ "Tsimpis", "D.", "" ] ]

We consider type IIB string theory on a seven dimensional orbifold with holonomy in G2. The motivation is to use D1-branes as probes of the geometry. The low energy theory on the D1-brane is a sigma-model with two real supercharges (N = (1,1) in two dimensional language). We study in detail the closed and open string sectors and propose a coupling of the twisted fields to the brane that modifies the vacuum moduli space so that the singularity at the origin is removed. Instead of coming from D-terms, which are not present here, the modification comes from a ``twisted'' mass term for the seven scalar multiplets on the brane. The proposed mechanism involves a generalization of the moment map.

10.608067

10.56468

11.781363

10.31635

10.833448

10.308347

10.487003

9.583748

10.362776

13.175253

10.645202

10.064288

11.276672

10.492534

10.475057

9.975633

9.952991

10.226789

10.134325

11.055227

10.16592

2011.02708

Fabien Besnard

Extensions of the noncommutative Standard Model and the weak order one condition

13 pages

null

hep-th math-ph math.MP

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

In the derivation of the Standard Model from the axioms of Noncommutative Geometry, the scalar sector is given by a finite Dirac operator which has to satisfy the so-called \emph{first-order condition}. However, the general solution to this constraint still has unphysical terms which must be fine-tuned to zero. Moreover, the first-order condition generally does not survive in extensions to models with gauge groups larger that $U(1)\times SU(2)\times SU(3)$. In this paper we show that in the $U(1)_{\rm B-L}$-extension one can implement a weaker form of the first-order condition which we argue is necessary in order for Noncommutative Gauge Theory to make sense at all, and that this condition reduce the amount of fine-tuning to the off-diagonal terms in the Yukawa mass matrices for the leptons and quarks. We also show that this condition eliminates the Majorana mass terms for right-handed neutrinos when it is applied to the Pati-Salam model.

[ { "created": "Thu, 5 Nov 2020 08:56:26 GMT", "version": "v1" } ]

2020-11-06

[ [ "Besnard", "Fabien", "" ] ]

In the derivation of the Standard Model from the axioms of Noncommutative Geometry, the scalar sector is given by a finite Dirac operator which has to satisfy the so-called \emph{first-order condition}. However, the general solution to this constraint still has unphysical terms which must be fine-tuned to zero. Moreover, the first-order condition generally does not survive in extensions to models with gauge groups larger that $U(1)\times SU(2)\times SU(3)$. In this paper we show that in the $U(1)_{\rm B-L}$-extension one can implement a weaker form of the first-order condition which we argue is necessary in order for Noncommutative Gauge Theory to make sense at all, and that this condition reduce the amount of fine-tuning to the off-diagonal terms in the Yukawa mass matrices for the leptons and quarks. We also show that this condition eliminates the Majorana mass terms for right-handed neutrinos when it is applied to the Pati-Salam model.

7.188766

7.097241

7.211374

6.544289

7.339973

6.772735

6.690976

6.976436

6.804717

7.196404

6.772386

6.843976

6.84085

6.644634

6.935834

6.932203

6.866694

6.94614

6.916956

6.959288

6.845618

hep-th/0612017

Bobby Eka Gunara

Bobby E. Gunara, Freddy P. Zen, and Arianto

BPS Domain Walls and Vacuum Structure of N=1 Supergravity Coupled to a Chiral Multiplet

17 pages, a typo corrected in section 2

J.Math.Phys.48:053505,2007

10.1063/1.2728889

null

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

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

We study BPS domain walls of N=1 supergravity coupled to a chiral multiplet and their Lorentz invariant vacua which can be viewed as critical points of BPS equations and the scalar potential. Supersymmetry further implies that gradient flows of BPS equations controlled by a holomorphic superpotential and the Kaehler geometry are unstable near local maximum of the scalar potential, whereas they are stable around local minimum and saddles of the scalar potential. However, the analysis using RG flows shows that such gradient flows do not always exist particularly in infrared region.

[ { "created": "Sat, 2 Dec 2006 03:41:51 GMT", "version": "v1" }, { "created": "Thu, 7 Dec 2006 01:06:17 GMT", "version": "v2" }, { "created": "Fri, 4 May 2007 03:45:54 GMT", "version": "v3" }, { "created": "Wed, 14 Nov 2007 08:46:26 GMT", "version": "v4" }, { "created": "Fri, 11 Jul 2008 06:38:53 GMT", "version": "v5" } ]

2008-11-26

[ [ "Gunara", "Bobby E.", "" ], [ "Zen", "Freddy P.", "" ], [ "Arianto", "", "" ] ]

We study BPS domain walls of N=1 supergravity coupled to a chiral multiplet and their Lorentz invariant vacua which can be viewed as critical points of BPS equations and the scalar potential. Supersymmetry further implies that gradient flows of BPS equations controlled by a holomorphic superpotential and the Kaehler geometry are unstable near local maximum of the scalar potential, whereas they are stable around local minimum and saddles of the scalar potential. However, the analysis using RG flows shows that such gradient flows do not always exist particularly in infrared region.

11.779145

10.735489

15.809945

11.09718

10.983697

11.414373

11.562869

10.284206

11.007257

16.22176

11.221614

11.123163

12.961772

11.067719

11.50666

11.099287

11.652535

11.144024

10.693176

13.318659

11.084136

0805.0150

Skenderis Kostas

Kostas Skenderis and Balt C. van Rees

Real-time gauge/gravity duality

5 pages, 3 figures; v2: typos corrected, PRL version

Phys.Rev.Lett.101:081601,2008

10.1103/PhysRevLett.101.081601

ITFA-2008-15

hep-th

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

We present a general prescription for the holographic computation of real-time n-point functions in non-trivial states. In QFT such real-time computations involve a choice of a time contour in the complex time plane. The holographic prescription amounts to ``filling in'' this contour with bulk solutions: real segments of the contour are filled in with Lorentzian solutions while imaginary segments are filled in with Riemannian solutions and appropriate matching conditions are imposed at the corners of the contour. We illustrate the general discussion by computing the 2-point function of a scalar operator using this prescription and by showing that this leads to an unambiguous answer with the correct i epsilon insertions.

[ { "created": "Fri, 2 May 2008 14:04:46 GMT", "version": "v1" }, { "created": "Wed, 23 Jul 2008 14:48:09 GMT", "version": "v2" } ]

2010-05-12

[ [ "Skenderis", "Kostas", "" ], [ "van Rees", "Balt C.", "" ] ]

We present a general prescription for the holographic computation of real-time n-point functions in non-trivial states. In QFT such real-time computations involve a choice of a time contour in the complex time plane. The holographic prescription amounts to ``filling in'' this contour with bulk solutions: real segments of the contour are filled in with Lorentzian solutions while imaginary segments are filled in with Riemannian solutions and appropriate matching conditions are imposed at the corners of the contour. We illustrate the general discussion by computing the 2-point function of a scalar operator using this prescription and by showing that this leads to an unambiguous answer with the correct i epsilon insertions.

8.001877

8.966388

8.479233

7.685682

8.009725

8.263876

8.211949

7.835996

7.979808

8.925383

8.218072

7.834976

8.043691

7.70936

7.89

7.636704

8.090435

7.849596

7.670861

8.220149

7.613873

2405.00847

Antony Speranza

Thomas Faulkner, Antony J. Speranza

Gravitational algebras and the generalized second law

62 pages + appendices and references, 4 figures; v2 minor edits, references added

null

hep-th gr-qc

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

We derive the generalized second law (GSL) for arbitrary cuts of Killing horizons from the perspective of crossed-product gravitational algebras, making use of a recent proposal by one of us for the construction of local gravitational algebras. This construction relies on the existence of a state whose modular flow is geometric on the horizon. In both free and interacting quantum field theories, such states are guaranteed to exist by the properties of half-sided translations on the horizon. Using geometric identities derived from the canonical analysis of general relativity on null surfaces, we show that the crossed product entropy agrees with the generalized entropy of the horizon cut in a semiclassical limit, and further reproduce Wall's result relating the GSL to monotonicity of relative entropy of the quantum field algebras. We also give a novel generalization of the GSL for interacting theories in asymptotically flat spacetimes involving the concept of an algebra at infinity for a half-sided translation, which accounts for triviality of the algebra of fields smeared only on the horizon. Going beyond the semiclassical limit, we compute subleading corrections to the crossed product entropy, but are unable to determine if the GSL continues to hold after accounting for these. We speculate that an improved GSL could follow from a hidden subalgebra structure of the crossed products, assuming the existence of an operator-valued weight between horizon cut algebras.

[ { "created": "Wed, 1 May 2024 20:23:37 GMT", "version": "v1" }, { "created": "Mon, 12 Aug 2024 20:16:27 GMT", "version": "v2" } ]

2024-08-14

[ [ "Faulkner", "Thomas", "" ], [ "Speranza", "Antony J.", "" ] ]

We derive the generalized second law (GSL) for arbitrary cuts of Killing horizons from the perspective of crossed-product gravitational algebras, making use of a recent proposal by one of us for the construction of local gravitational algebras. This construction relies on the existence of a state whose modular flow is geometric on the horizon. In both free and interacting quantum field theories, such states are guaranteed to exist by the properties of half-sided translations on the horizon. Using geometric identities derived from the canonical analysis of general relativity on null surfaces, we show that the crossed product entropy agrees with the generalized entropy of the horizon cut in a semiclassical limit, and further reproduce Wall's result relating the GSL to monotonicity of relative entropy of the quantum field algebras. We also give a novel generalization of the GSL for interacting theories in asymptotically flat spacetimes involving the concept of an algebra at infinity for a half-sided translation, which accounts for triviality of the algebra of fields smeared only on the horizon. Going beyond the semiclassical limit, we compute subleading corrections to the crossed product entropy, but are unable to determine if the GSL continues to hold after accounting for these. We speculate that an improved GSL could follow from a hidden subalgebra structure of the crossed products, assuming the existence of an operator-valued weight between horizon cut algebras.

12.707359

13.254766

12.753463

11.636446

12.723114

12.318142

12.625932

12.032623

11.712056

14.630176

12.107642

12.15156

12.552536

12.000475

12.501994

12.366254

12.184618

11.942609

12.434216

12.115188

12.234579

1108.4081

Denis Bashkirov

A note on ${\cal N}\ge 6$ Superconformal Quantum Field Theories in three dimensions

7 pages

null

hep-th

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

Based on the structure of the three-dimensional superconformal algebra we show that every irreducible ${\mathcal N}=6$ three-dimensional superconformal theory containes exactly one conserved U(1)-symmetry current in the stress tensor supermultiplet and that superconformal symmetry of every ${\mathcal N}=7$ superconformal theory is in fact enhanced to ${\mathcal N}=8$. Moreover, an irreducible ${\cal N}=8$ superconformal theory does not have any global symmetries. The first observation explains why all known examples of ${\mathcal N}=6$ superconformal theories have a global abelian symmetry.

[ { "created": "Sat, 20 Aug 2011 02:13:24 GMT", "version": "v1" } ]

2011-08-23

[ [ "Bashkirov", "Denis", "" ] ]

Based on the structure of the three-dimensional superconformal algebra we show that every irreducible ${\mathcal N}=6$ three-dimensional superconformal theory containes exactly one conserved U(1)-symmetry current in the stress tensor supermultiplet and that superconformal symmetry of every ${\mathcal N}=7$ superconformal theory is in fact enhanced to ${\mathcal N}=8$. Moreover, an irreducible ${\cal N}=8$ superconformal theory does not have any global symmetries. The first observation explains why all known examples of ${\mathcal N}=6$ superconformal theories have a global abelian symmetry.

5.457899

4.710521

5.636157

5.148174

4.999369

5.071607

4.901771

5.119067

5.163911

6.296318

4.985445

5.038069

5.224534

5.014765

4.949654

5.070239

5.09652

4.8729

4.985761

5.225869

4.934479

hep-th/0306182

Malik Rudra Prakash

R. P. Malik (as-Ictp)

Superfield Approach to (Non-)local Symmetries for One-Form Abelian Gauge Theory

LaTeX file, 23 pages

J.Phys.A37:1059-1078,2004

10.1088/0305-4470/37/3/034

null

hep-th

null

We exploit the geometrical superfield formalism to derive the local, covariant and continuous Becchi-Rouet-Stora-Tyutin (BRST) symmetry transformations and the non-local, non-covariant and continuous dual-BRST symmetry transformations for the free Abelian one-form gauge theory in four $(3 + 1)$-dimensions (4D) of spacetime. Our discussion is carried out in the framework of BRST invariant Lagrangian density for the above 4D theory in the Feynman gauge. The geometrical origin and interpretation for the (dual-)BRST charges (and the transformations they generate) are provided in the language of translations of some superfields along the Grassmannian directions of the six ($ 4 + 2)$-dimensional supermanifold parametrized by the four spacetime and two Grassmannian variables.

[ { "created": "Thu, 19 Jun 2003 19:04:40 GMT", "version": "v1" }, { "created": "Sat, 28 Jun 2003 09:33:24 GMT", "version": "v2" }, { "created": "Tue, 21 Oct 2003 16:12:25 GMT", "version": "v3" }, { "created": "Wed, 31 Dec 2003 10:01:53 GMT", "version": "v4" } ]

2008-11-26

[ [ "Malik", "R. P.", "", "as-Ictp" ] ]

We exploit the geometrical superfield formalism to derive the local, covariant and continuous Becchi-Rouet-Stora-Tyutin (BRST) symmetry transformations and the non-local, non-covariant and continuous dual-BRST symmetry transformations for the free Abelian one-form gauge theory in four $(3 + 1)$-dimensions (4D) of spacetime. Our discussion is carried out in the framework of BRST invariant Lagrangian density for the above 4D theory in the Feynman gauge. The geometrical origin and interpretation for the (dual-)BRST charges (and the transformations they generate) are provided in the language of translations of some superfields along the Grassmannian directions of the six ($ 4 + 2)$-dimensional supermanifold parametrized by the four spacetime and two Grassmannian variables.

6.760544

4.260861

7.582523

4.479351

4.818533

4.564934

4.654152

4.369276

4.900672

8.128923

4.548538

5.351439

6.655667

5.847992

5.828283

5.448096

5.576906

5.652763

5.943631

6.638463

5.670118

0806.0603

Samuel V\'azquez

Samuel E. Vazquez

Constraining Modified Gravity with Large non-Gaussianities

17 pages, 7 figures, RevTeX format

Phys.Rev.D79:043520,2009

10.1103/PhysRevD.79.043520

null

hep-th astro-ph gr-qc

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

In writing a covariant effective action for single field inflation, one is allowed to add a Gauss-Bonnet and axion-type curvature couplings. These couplings represent modifications of gravity, and are the unique higher-curvature terms that lead to second order equations of motion in four dimensions. In this paper we study the observational consequences of such couplings for models with large non-gaussianities. Our focus is on the Gauss-Bonnet term. In particular, we study an effective action where the scalar Lagrangian is a general function of the inflaton and its first derivative. We show that, for large non-gaussianities, one can write $f_{NL}$ in terms of only three parameters. The shape of $f_{NL}$ is also studied, and we find that it is very similar to that of k-inflation. We show that the Gauss-Bonnet term enhances the production of gravitational waves, and allows a smaller speed of sound for scalar perturbations. This, in turn, can lead to larger non-gaussianities which can be constrained by observations. Using current WMAP limits on $f_{NL}$ and the tensor/scalar ratio, we put constraints on all parameters. As an example, we show that for DBI inflation, the Gauss-Bonnet coupling leads to an interesting observational window with both large $f_{NL}$ and a large amplitude of gravitational waves. Finally, we show that the Gauss-Bonnet coupling admits a de-Sitter phase with a relativistic dispersion relation for scalar perturbations.

[ { "created": "Tue, 3 Jun 2008 17:57:03 GMT", "version": "v1" }, { "created": "Tue, 17 Jun 2008 14:56:34 GMT", "version": "v2" } ]

2009-03-12

[ [ "Vazquez", "Samuel E.", "" ] ]

In writing a covariant effective action for single field inflation, one is allowed to add a Gauss-Bonnet and axion-type curvature couplings. These couplings represent modifications of gravity, and are the unique higher-curvature terms that lead to second order equations of motion in four dimensions. In this paper we study the observational consequences of such couplings for models with large non-gaussianities. Our focus is on the Gauss-Bonnet term. In particular, we study an effective action where the scalar Lagrangian is a general function of the inflaton and its first derivative. We show that, for large non-gaussianities, one can write $f_{NL}$ in terms of only three parameters. The shape of $f_{NL}$ is also studied, and we find that it is very similar to that of k-inflation. We show that the Gauss-Bonnet term enhances the production of gravitational waves, and allows a smaller speed of sound for scalar perturbations. This, in turn, can lead to larger non-gaussianities which can be constrained by observations. Using current WMAP limits on $f_{NL}$ and the tensor/scalar ratio, we put constraints on all parameters. As an example, we show that for DBI inflation, the Gauss-Bonnet coupling leads to an interesting observational window with both large $f_{NL}$ and a large amplitude of gravitational waves. Finally, we show that the Gauss-Bonnet coupling admits a de-Sitter phase with a relativistic dispersion relation for scalar perturbations.

5.960816

5.852243

6.150075

5.867857

5.915436

5.702569

5.808684

5.835358

5.864836

6.36889

5.894493

5.991423

5.933318

5.803556

5.890632

5.922155

5.866807

6.024122

5.86127

6.152957

5.884899

1611.02772

Christian Saemann

Andreas Deser and Christian Saemann

Extended Riemannian Geometry I: Local Double Field Theory

v2: 50 pages, typos corrected, published version

Ann. Henri Poincare (2018)

10.1007/s00023-018-0694-2

ITP-UH-22/16, EMPG-16-18

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

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

We present an extended version of Riemannian geometry suitable for the description of current formulations of double field theory (DFT). This framework is based on graded manifolds and it yields extended notions of symmetries, dynamical data and constraints. In special cases, we recover general relativity with and without 1-, 2- and 3-form gauge potentials as well as DFT. We believe that our extended Riemannian geometry helps to clarify the role of various constructions in DFT. For example, it leads to a covariant form of the strong section condition. Furthermore, it should provide a useful step towards global and coordinate invariant descriptions of T- and U-duality invariant field theories.

[ { "created": "Tue, 8 Nov 2016 23:27:31 GMT", "version": "v1" }, { "created": "Mon, 2 Jul 2018 12:34:49 GMT", "version": "v2" } ]

2018-07-03

[ [ "Deser", "Andreas", "" ], [ "Saemann", "Christian", "" ] ]

We present an extended version of Riemannian geometry suitable for the description of current formulations of double field theory (DFT). This framework is based on graded manifolds and it yields extended notions of symmetries, dynamical data and constraints. In special cases, we recover general relativity with and without 1-, 2- and 3-form gauge potentials as well as DFT. We believe that our extended Riemannian geometry helps to clarify the role of various constructions in DFT. For example, it leads to a covariant form of the strong section condition. Furthermore, it should provide a useful step towards global and coordinate invariant descriptions of T- and U-duality invariant field theories.

9.455989

8.860445

9.687326

8.841809

9.155458

8.697676

9.606857

8.774315

9.284883

9.71841

8.814298

8.742988

9.21756

8.83169

8.930517

8.840529

8.705905

8.994706

8.996963

9.336897

8.657226

hep-th/0111243

Henrik Aratyn

Henrik Aratyn and Johan van de Leur

Integrable Structure behind WDVV Equations

14 pgs, contribution to Needs 2001 conference proceedings

Theor.Math.Phys. 134 (2003) 14-26; Teor.Mat.Fiz. 134 (2003) 18-31

null

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

null

An integrable structure behind Witten--Dijkgraaf--Verlinde--Verlinde (WDVV) equations is identified with reduction of a Riemann-Hilbert problem for a homogeneous GL(N, C) loop group. Reduction requires the dressing matrices to be fixed points of a loop group automorphism of order two resulting in a sub-hierarchy of gl(N,C) hierarchy containing only odd symmetry flows. The model possesses Virasoro symmetry and imposing Virasoro constraints ensures homogeneity property of the Darboux-Egoroff structure. Dressing matrices of the reduced model provide solutions of the WDVV equations.

[ { "created": "Tue, 27 Nov 2001 15:12:32 GMT", "version": "v1" } ]

2007-05-23

[ [ "Aratyn", "Henrik", "" ], [ "van de Leur", "Johan", "" ] ]

An integrable structure behind Witten--Dijkgraaf--Verlinde--Verlinde (WDVV) equations is identified with reduction of a Riemann-Hilbert problem for a homogeneous GL(N, C) loop group. Reduction requires the dressing matrices to be fixed points of a loop group automorphism of order two resulting in a sub-hierarchy of gl(N,C) hierarchy containing only odd symmetry flows. The model possesses Virasoro symmetry and imposing Virasoro constraints ensures homogeneity property of the Darboux-Egoroff structure. Dressing matrices of the reduced model provide solutions of the WDVV equations.

13.530416

14.706171

16.634434

12.863696

15.564663

14.074463

14.788347

12.960739

13.392031

17.039576

12.566532

11.864736

12.625936

12.261684

11.875119

12.930205

11.719506

12.757685

12.274727

12.265737

11.919857

hep-th/0103023

Garnik G. Alexanian

G.Alexanian, A.P.Balachandran, G.Immirzi and B.Ydri

Fuzzy CP2

32 pages,LaTeX; References added and several typos corrected

J.Geom.Phys.42:28-53,2002

10.1016/S0393-0440(01)00070-5

SU-4240-730

hep-th gr-qc hep-lat math.QA

null

Regularization of quantum field theories (QFT's) can be achieved by quantizing the underlying manifold (spacetime or spatial slice) thereby replacing it by a non-commutative matrix model or a ``fuzzy manifold''. Such discretization by quantization is remarkably successful in preserving symmetries and topological features, and altogether overcoming the fermion-doubling problem. In this paper, we report on our work on the ``fuzzification'' of the four-dimensional CP2 and its QFT's. CP2 is not spin, but spin${}_c$. Its Dirac operator has many unique features. They are explained and their fuzzy versions are described.

[ { "created": "Mon, 5 Mar 2001 00:53:24 GMT", "version": "v1" }, { "created": "Wed, 11 Apr 2001 22:23:45 GMT", "version": "v2" } ]

2008-11-26

[ [ "Alexanian", "G.", "" ], [ "Balachandran", "A. P.", "" ], [ "Immirzi", "G.", "" ], [ "Ydri", "B.", "" ] ]

Regularization of quantum field theories (QFT's) can be achieved by quantizing the underlying manifold (spacetime or spatial slice) thereby replacing it by a non-commutative matrix model or a ``fuzzy manifold''. Such discretization by quantization is remarkably successful in preserving symmetries and topological features, and altogether overcoming the fermion-doubling problem. In this paper, we report on our work on the ``fuzzification'' of the four-dimensional CP2 and its QFT's. CP2 is not spin, but spin${}_c$. Its Dirac operator has many unique features. They are explained and their fuzzy versions are described.

13.651034

10.34837

14.627284

11.79107

10.285065

10.269151

9.577044

11.70335

10.723924

14.726272

12.92417

11.850572

12.33764

12.149054

11.288931

11.776218

12.347705

12.565493

11.591008

12.869536

12.205362

1403.3823

Seckin Kurkcuoglu

F. Balli, A. Behtash, S. Kurkcuoglu, G. Unal

Quantum Hall Effect on the Grassmannians $\mathbf{Gr}_2(\mathbb{C}^N)$

34 pages, revtex 4-1, Minor Corrections

Phys. Rev. D 89, 105031 (2014)

10.1103/PhysRevD.89.105031

null

hep-th

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

Quantum Hall Effects (QHEs) on the complex Grassmann manifolds $\mathbf{Gr}_2(\mathbb{C}^N)$ are formulated. We set up the Landau problem in $\mathbf{Gr}_2(\mathbb{C}^N)$ and solve it using group theoretical techniques and provide the energy spectrum and the eigenstates in terms of the $SU(N)$ Wigner ${\cal D}$-functions for charged particles on $\mathbf{Gr}_2(\mathbb{C}^N)$ under the influence of abelian and non-abelian background magnetic monopoles or a combination of these thereof. In particular, for the simplest case of $\mathbf{Gr}_2(\mathbb{C}^4)$ we explicitly write down the $U(1)$ background gauge field as well as the single and many-particle eigenstates by introducing the Pl\"{u}cker coordinates and show by calculating the two-point correlation function that the Lowest Landau Level (LLL) at filling factor $\nu =1$ forms an incompressible fluid. Our results are in agreement with the previous results in the literature for QHE on ${\mathbb C}P^N$ and generalize them to all $\mathbf{Gr}_2(\mathbb{C}^N)$ in a suitable manner. Finally, we heuristically identify a relation between the $U(1)$ Hall effect on $\mathbf{Gr}_2(\mathbb{C}^4)$ and the Hall effect on the odd sphere $S^5$, which is yet to be investigated in detail, by appealing to the already known analogous relations between the Hall effects on ${\mathbb C}P^3$ and ${\mathbb C}P^7$ and those on the spheres $S^4$ and $S^8$, respectively.

[ { "created": "Sat, 15 Mar 2014 16:38:45 GMT", "version": "v1" }, { "created": "Wed, 2 Apr 2014 15:30:09 GMT", "version": "v2" } ]

2014-06-11

[ [ "Balli", "F.", "" ], [ "Behtash", "A.", "" ], [ "Kurkcuoglu", "S.", "" ], [ "Unal", "G.", "" ] ]

Quantum Hall Effects (QHEs) on the complex Grassmann manifolds $\mathbf{Gr}_2(\mathbb{C}^N)$ are formulated. We set up the Landau problem in $\mathbf{Gr}_2(\mathbb{C}^N)$ and solve it using group theoretical techniques and provide the energy spectrum and the eigenstates in terms of the $SU(N)$ Wigner ${\cal D}$-functions for charged particles on $\mathbf{Gr}_2(\mathbb{C}^N)$ under the influence of abelian and non-abelian background magnetic monopoles or a combination of these thereof. In particular, for the simplest case of $\mathbf{Gr}_2(\mathbb{C}^4)$ we explicitly write down the $U(1)$ background gauge field as well as the single and many-particle eigenstates by introducing the Pl\"{u}cker coordinates and show by calculating the two-point correlation function that the Lowest Landau Level (LLL) at filling factor $\nu =1$ forms an incompressible fluid. Our results are in agreement with the previous results in the literature for QHE on ${\mathbb C}P^N$ and generalize them to all $\mathbf{Gr}_2(\mathbb{C}^N)$ in a suitable manner. Finally, we heuristically identify a relation between the $U(1)$ Hall effect on $\mathbf{Gr}_2(\mathbb{C}^4)$ and the Hall effect on the odd sphere $S^5$, which is yet to be investigated in detail, by appealing to the already known analogous relations between the Hall effects on ${\mathbb C}P^3$ and ${\mathbb C}P^7$ and those on the spheres $S^4$ and $S^8$, respectively.

4.635381

4.806944

5.138936

4.43175

4.833614

5.013209

5.018228

4.644889

4.664019

5.361164

4.599574

4.459308

4.680256

4.476425

4.454905

4.426542

4.466715

4.450788

4.477059

4.745578

4.429851

1401.3664

Kunihito Uzawa

Kunihito Uzawa, Kentaroh Yoshida

Probe brane dynamics on cosmological brane backgrounds

14 pages, LaTeX, typos corrected, Journal version

Phys.Lett. B738 (2014) 493-498

10.1016/j.physletb.2014.10.030

KUNS-2472

hep-th gr-qc

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

We consider the dynamics of a single probe brane on various cosmological brane backgrounds. The on-shell condition of the static probe brane leads to the supersymmetric intersection rules for static BPS configurations, though the cosmological backgrounds do not preserve any supersymmetries. This is a remarkable feature associated with the cosmological backgrounds because in the static background the on-shell condition of the static brane gives no constraint on the brane configuration. Furthermore, it follows that under this condition there is no velocity-independent force for the probe brane even on the cosmological backgrounds.

[ { "created": "Wed, 15 Jan 2014 16:55:38 GMT", "version": "v1" }, { "created": "Thu, 23 Oct 2014 05:05:05 GMT", "version": "v2" } ]

2014-10-24

[ [ "Uzawa", "Kunihito", "" ], [ "Yoshida", "Kentaroh", "" ] ]

We consider the dynamics of a single probe brane on various cosmological brane backgrounds. The on-shell condition of the static probe brane leads to the supersymmetric intersection rules for static BPS configurations, though the cosmological backgrounds do not preserve any supersymmetries. This is a remarkable feature associated with the cosmological backgrounds because in the static background the on-shell condition of the static brane gives no constraint on the brane configuration. Furthermore, it follows that under this condition there is no velocity-independent force for the probe brane even on the cosmological backgrounds.

11.048474

10.939159

11.384703

9.786872

9.483966

9.261642

10.058458

9.940081

9.906969

11.343922

9.579571

9.976094

10.185361

9.879155

9.444663

9.706485

10.001073

9.982918

9.931067

10.585412

9.659425

0707.4669

David Berenstein

David Berenstein, Samuel E. Vazquez

Giant magnon bound states from strongly coupled N=4 SYM

19 pages, uses revtex

Phys.Rev.D77:026005,2008

10.1103/PhysRevD.77.026005

null

hep-th

null

We calculate in a very simple way the spectrum of giant magnon bound states at strong coupling in N=4 SYM, by utilizing the description of the field theory vacuum in terms of a condensate of eigenvalues of commuting matrices. We further show that these calculations can be understood in terms of the central charge extension that permits the calculation of BPS masses in the Coulomb branch of N=4 SYM. This paper shows further evidence that the strong coupling expansion of the maximally supersymmetric Yang-Mills theory in four dimensions can be done systematically from first principles, without the assumption of integrability.

[ { "created": "Tue, 31 Jul 2007 18:21:53 GMT", "version": "v1" } ]

2008-11-26

[ [ "Berenstein", "David", "" ], [ "Vazquez", "Samuel E.", "" ] ]

We calculate in a very simple way the spectrum of giant magnon bound states at strong coupling in N=4 SYM, by utilizing the description of the field theory vacuum in terms of a condensate of eigenvalues of commuting matrices. We further show that these calculations can be understood in terms of the central charge extension that permits the calculation of BPS masses in the Coulomb branch of N=4 SYM. This paper shows further evidence that the strong coupling expansion of the maximally supersymmetric Yang-Mills theory in four dimensions can be done systematically from first principles, without the assumption of integrability.

10.607604

9.081332

10.68961

9.170596

9.951322

9.325244

10.149489

9.640278

9.096129

12.095202

9.07739

9.134113

10.096681

9.459624

9.75655

9.60965

9.720201

9.500162

9.207649

9.827814

9.568466

hep-th/0208154

Calin Iuliu Lazaroiu

L. Anguelova, C.I. Lazaroiu

Domain walls of N=2 supergravity in five dimensions from hypermultiplet moduli spaces

39 pages, numerous figures; v4: two references added

JHEP 0209:053,2002

10.1088/1126-6708/2002/09/053

YITP-SB-02-45

hep-th hep-ph

null

We study domain wall solutions in d=5, N=2 supergravity coupled to a single hypermultiplet whose moduli space is described by certain inhomogeneous, toric ESD manifolds constructed recently by Calderbank and Singer. Upon gauging a generic U(1) isometry of these spaces, we obtain an infinite family of models whose "superpotential" admits an arbitrary number of isolated critical points. By investigating the associated supersymmetric flows, we prove the existence of domain walls of Randall-Sundrum type for each member of our family, and find chains of domain walls interpolating between various AdS_5 backgrounds. Our models are described by a discrete infinity of smooth and complete one-hypermultiplet moduli spaces, which live on an open subset of the minimal resolution of certain cyclic quotient singularities. These spaces generalize the Pedersen metrics considered recently by Behrndt and Dall' Agata.

[ { "created": "Wed, 21 Aug 2002 12:23:40 GMT", "version": "v1" }, { "created": "Thu, 22 Aug 2002 01:04:50 GMT", "version": "v2" }, { "created": "Mon, 26 Aug 2002 15:43:47 GMT", "version": "v3" }, { "created": "Fri, 4 Oct 2002 20:51:57 GMT", "version": "v4" } ]

2010-12-03

[ [ "Anguelova", "L.", "" ], [ "Lazaroiu", "C. I.", "" ] ]

We study domain wall solutions in d=5, N=2 supergravity coupled to a single hypermultiplet whose moduli space is described by certain inhomogeneous, toric ESD manifolds constructed recently by Calderbank and Singer. Upon gauging a generic U(1) isometry of these spaces, we obtain an infinite family of models whose "superpotential" admits an arbitrary number of isolated critical points. By investigating the associated supersymmetric flows, we prove the existence of domain walls of Randall-Sundrum type for each member of our family, and find chains of domain walls interpolating between various AdS_5 backgrounds. Our models are described by a discrete infinity of smooth and complete one-hypermultiplet moduli spaces, which live on an open subset of the minimal resolution of certain cyclic quotient singularities. These spaces generalize the Pedersen metrics considered recently by Behrndt and Dall' Agata.

11.279736

11.456772

13.29624

11.073711

11.916905

12.261374

12.89532

11.730711

11.146344

15.256762

11.235162

10.673705

11.501306

10.791677

10.335713

10.38617

10.303415

10.344828

10.81098

11.482266

10.428576

hep-th/9910113

Shin'ichi Nojiri

Shin'ichi Nojiri and Sergei D. Odintsov

Weyl anomaly from Weyl gravity

LaTeX file, 8 pages

Mod.Phys.Lett.A15:1043-1050,2000

10.1142/S0217732300001225

null

hep-th

null

We calculate the conformal anomaly from 5d Weyl gravity (with broken conformal symmetry) which is conjectured to be supergravity dual to ${\cal N}=2$ superconformal field theory via AdS/CFT correspondence. Its comparison with ${\cal N}=2$ SCFT conformal anomaly (UV calculation) suggests that such duality may exist subject to presence of sub-leading 1/N corrections to cosmological and gravitational constants.

[ { "created": "Fri, 15 Oct 1999 13:27:26 GMT", "version": "v1" } ]

2009-09-17

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

We calculate the conformal anomaly from 5d Weyl gravity (with broken conformal symmetry) which is conjectured to be supergravity dual to ${\cal N}=2$ superconformal field theory via AdS/CFT correspondence. Its comparison with ${\cal N}=2$ SCFT conformal anomaly (UV calculation) suggests that such duality may exist subject to presence of sub-leading 1/N corrections to cosmological and gravitational constants.

11.999983

10.167804

10.700886

10.188705

10.460111

9.425488

10.911474

10.144534

9.814622

11.29974

9.861012

10.260237

11.147812

11.016859

10.952608

10.582644

10.373311

10.235865

10.419934

10.87044

10.401587

hep-th/9407154

Giovanni Felder

Conformal field theory and integrable systems associated with elliptic curves

11 pages, LaTeX

Proc. of the ICM 94, 1247-1255, Birkhaeuser 1994

null

hep-th

null

An elliptic version of quantum groups is proposed. It comes form the quantization of the Knizhnik-Zamolodchikov- Bernard equation on the torus. The relation with elliptic IRF models is explained.

[ { "created": "Sat, 23 Jul 1994 09:37:06 GMT", "version": "v1" } ]

2007-05-23

[ [ "Felder", "Giovanni", "" ] ]

An elliptic version of quantum groups is proposed. It comes form the quantization of the Knizhnik-Zamolodchikov- Bernard equation on the torus. The relation with elliptic IRF models is explained.

11.321669

6.935268

12.914015

7.746743

7.588304

7.887292

7.491972

7.513459

7.503075

10.924588

7.918684

7.987267

10.541296

8.437957

8.761867

9.032843

7.902902

8.40501

8.048803

9.787583

8.412719

hep-th/9509111

Geza Fulop

G\'eza F\"ul\"op

Gauge fixing, co-BRST and time evolution in QED

Latex, 24 pages, included some new references and comments

Int.J.Mod.Phys. A11 (1996) 4785

10.1142/S0217751X96002194

Goteborg ITP 95-21

hep-th

null

We consider BRST-invariant inner product states for quantum electrodynamics constructed from trivial BRST-invariant states and a gauge regulator. The trivial states are products of matter and ghost states and are annihilated by hermitian operators. The co-BRST operator and some further gauge-fixing regulators are found. The relation between gauge fixing and time evolution of both the trivial and the inner product states is discussed.

[ { "created": "Thu, 21 Sep 1995 08:59:49 GMT", "version": "v1" }, { "created": "Mon, 19 Feb 1996 18:08:13 GMT", "version": "v2" } ]

2009-10-28

[ [ "Fülöp", "Géza", "" ] ]

We consider BRST-invariant inner product states for quantum electrodynamics constructed from trivial BRST-invariant states and a gauge regulator. The trivial states are products of matter and ghost states and are annihilated by hermitian operators. The co-BRST operator and some further gauge-fixing regulators are found. The relation between gauge fixing and time evolution of both the trivial and the inner product states is discussed.

19.706131

22.295607

19.151373

15.9104

18.316427

17.213547

20.709982

17.324953

18.668777

18.223433

17.45249

19.129948

18.811148

17.710888

18.356476

19.571341

18.419044

19.197752

18.076815

19.651543

17.485851

0705.0022

Michael Gutperle

Eric D'Hoker, John Estes and Michael Gutperle

Exact half-BPS Type IIB interface solutions I: Local solution and supersymmetric Janus

LaTeX, 69 pages, 3 figures, v2: references added

JHEP 0706:021,2007

10.1088/1126-6708/2007/06/021

UCLA/07/TEP/09

hep-th

null

The complete Type IIB supergravity solutions with 16 supersymmetries are obtained on the manifold $AdS_4 \times S^2 \times S^2 \times \Sigma$ with $SO(2,3) \times SO(3) \times SO(3)$ symmetry in terms of two holomorphic functions on a Riemann surface $\Sigma$, which generally has a boundary. This is achieved by reducing the BPS equations using the above symmetry requirements, proving that all solutions of the BPS equations solve the full Type IIB supergravity field equations, mapping the BPS equations onto a new integrable system akin to the Liouville and Sine-Gordon theories, and mapping this integrable system to a linear equation which can be solved exactly. Amongst the infinite class of solutions, a non-singular Janus solution is identified which provides the AdS/CFT dual of the maximally supersymmetric Yang-Mills interface theory discovered recently. The construction of general classes of globally non-singular solutions, including fully back-reacted $AdS_5 \times S^5$ and supersymmetric Janus doped with D5 and/or NS5 branes, is deferred to a companion paper.

[ { "created": "Tue, 1 May 2007 00:15:23 GMT", "version": "v1" }, { "created": "Mon, 21 May 2007 18:26:57 GMT", "version": "v2" } ]

2009-11-13

[ [ "D'Hoker", "Eric", "" ], [ "Estes", "John", "" ], [ "Gutperle", "Michael", "" ] ]

The complete Type IIB supergravity solutions with 16 supersymmetries are obtained on the manifold $AdS_4 \times S^2 \times S^2 \times \Sigma$ with $SO(2,3) \times SO(3) \times SO(3)$ symmetry in terms of two holomorphic functions on a Riemann surface $\Sigma$, which generally has a boundary. This is achieved by reducing the BPS equations using the above symmetry requirements, proving that all solutions of the BPS equations solve the full Type IIB supergravity field equations, mapping the BPS equations onto a new integrable system akin to the Liouville and Sine-Gordon theories, and mapping this integrable system to a linear equation which can be solved exactly. Amongst the infinite class of solutions, a non-singular Janus solution is identified which provides the AdS/CFT dual of the maximally supersymmetric Yang-Mills interface theory discovered recently. The construction of general classes of globally non-singular solutions, including fully back-reacted $AdS_5 \times S^5$ and supersymmetric Janus doped with D5 and/or NS5 branes, is deferred to a companion paper.

6.601133

6.162376

7.812227

6.456155

6.301312

6.164627

6.806648

6.311885

6.14369

8.32335

6.108799

6.3188

7.222137

6.238809

6.434829

6.531115

6.414237

6.393091

6.368367

6.745343

6.364491

1511.05918

Andre Lehum

A. C. Lehum

Lorentz-violating quantum electrodynamics in two-dimensional aether-superspace

9 pages

null

10.1209/0295-5075/112/51001

null

hep-th

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

The two-dimensional aether-superspace is constructed and the superfield techniques are applied to the study of dynamical generation of mass in the Lorentz-violating supersymmetric quantum electrodynamics in two dimensions of spacetime. It is shown that such model presents a dynamical generation of mass to the gauge aether-superfield and its dispersion relation has the structure similar of the CPT-even Lorentz-breaking models.

[ { "created": "Tue, 17 Nov 2015 12:43:34 GMT", "version": "v1" } ]

2016-01-20

[ [ "Lehum", "A. C.", "" ] ]

The two-dimensional aether-superspace is constructed and the superfield techniques are applied to the study of dynamical generation of mass in the Lorentz-violating supersymmetric quantum electrodynamics in two dimensions of spacetime. It is shown that such model presents a dynamical generation of mass to the gauge aether-superfield and its dispersion relation has the structure similar of the CPT-even Lorentz-breaking models.

11.83217

10.723706

11.995729

8.934185

10.675559

9.692048

9.36049

10.190768

9.778391

13.470052

9.806049

9.484159

11.143663

10.185637

9.821651

9.68682

9.221112

9.99871

9.896526

10.914227

9.586894

1308.1054

Hoda Farahani

J. Sadeghi and H. Farahani

Thermodynamics of a charged hairy black hole in (2+1) dimensions

18 pages, 12 figures. References added

null

10.1007/s10773-014-2122-9

null

hep-th

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

In this paper we study thermodynamics, statistics and spectroscopic aspects of a charged black hole with a scalar hair coupled to the gravity in (2+1) dimensions. We obtained effects of the black hole charge and scalar field on the thermodynamical and statistical quantities. We find that scalar charge may increase entropy, temperature and probability, while may decrease black hole mass, free and internal energy. Also electric charge increases probability and decreases temperature and internal energy. Also we investigate stability of the system and find that the thermodynamical stability exists.

[ { "created": "Mon, 5 Aug 2013 18:11:25 GMT", "version": "v1" }, { "created": "Wed, 7 Aug 2013 18:15:18 GMT", "version": "v2" } ]

2015-06-16

[ [ "Sadeghi", "J.", "" ], [ "Farahani", "H.", "" ] ]

In this paper we study thermodynamics, statistics and spectroscopic aspects of a charged black hole with a scalar hair coupled to the gravity in (2+1) dimensions. We obtained effects of the black hole charge and scalar field on the thermodynamical and statistical quantities. We find that scalar charge may increase entropy, temperature and probability, while may decrease black hole mass, free and internal energy. Also electric charge increases probability and decreases temperature and internal energy. Also we investigate stability of the system and find that the thermodynamical stability exists.

10.77881

10.565488

9.528311

9.432536

10.303345

10.114583

9.367188

9.416479

10.010795

10.326316

9.785859

9.830618

10.235636

9.940836

9.344353

9.846188

9.752199

9.367402

9.843007

10.138803

9.755378

hep-th/0104094

Sergey Alexandrov

Sergei Alexandrov and Vladimir Kazakov

Correlators in 2D string theory with vortex condensation

20 pages

Nucl.Phys.B610:77,2001; Nucl.Phys.B610:77-96,2001

10.1016/S0550-3213(01)00298-X

LPTENS-01/18, SPhT-t01/036

hep-th

null

We calculate one- and two-point correlators of winding operators in the matrix model of 2D string theory compactified on a circle, recently proposed for the description of string dynamics on the 2D black hole background.

[ { "created": "Tue, 10 Apr 2001 14:48:02 GMT", "version": "v1" } ]

2014-11-18

[ [ "Alexandrov", "Sergei", "" ], [ "Kazakov", "Vladimir", "" ] ]

We calculate one- and two-point correlators of winding operators in the matrix model of 2D string theory compactified on a circle, recently proposed for the description of string dynamics on the 2D black hole background.

9.462908

8.121596

8.298106

7.315704

7.783289

7.643998

7.578531

7.067266

7.115961

9.255585

7.108886

7.670452

8.693103

7.680192

7.65929

7.661662

7.772278

7.05514

7.591338

9.051394

7.632695

1410.0621

Timothy Olson

Henriette Elvang, Yu-tin Huang, Cynthia Keeler, Thomas Lam, Timothy M. Olson, Samuel B. Roland, David E. Speyer

Grassmannians for scattering amplitudes in 4d $\mathcal{N}=4$ SYM and 3d ABJM

52 pages, 5 figures

null

10.1007/JHEP12(2014)181

MCTP-14-36

hep-th math.AG

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

Scattering amplitudes in 4d $\mathcal{N}=4$ super Yang-Mills theory (SYM) can be described by Grassmannian contour integrals whose form depends on whether the external data is encoded in momentum space, twistor space, or momentum twistor space. After a pedagogical review, we present a new, streamlined proof of the equivalence of the three integral formulations. A similar strategy allows us to derive a new Grassmannian integral for 3d $\mathcal{N}=6$ ABJM theory amplitudes in momentum twistor space: it is a contour integral in an orthogonal Grassmannian with the novel property that the internal metric depends on the external data. The result can be viewed as a central step towards developing an amplituhedron formulation for ABJM amplitudes. Various properties of Grassmannian integrals are examined, including boundary properties, pole structure, and a homological interpretation of the global residue theorems for $\mathcal{N}=4$ SYM.

[ { "created": "Thu, 2 Oct 2014 17:45:50 GMT", "version": "v1" } ]

2015-06-23

[ [ "Elvang", "Henriette", "" ], [ "Huang", "Yu-tin", "" ], [ "Keeler", "Cynthia", "" ], [ "Lam", "Thomas", "" ], [ "Olson", "Timothy M.", "" ], [ "Roland", "Samuel B.", "" ], [ "Speyer", "David E.", "" ] ]

Scattering amplitudes in 4d $\mathcal{N}=4$ super Yang-Mills theory (SYM) can be described by Grassmannian contour integrals whose form depends on whether the external data is encoded in momentum space, twistor space, or momentum twistor space. After a pedagogical review, we present a new, streamlined proof of the equivalence of the three integral formulations. A similar strategy allows us to derive a new Grassmannian integral for 3d $\mathcal{N}=6$ ABJM theory amplitudes in momentum twistor space: it is a contour integral in an orthogonal Grassmannian with the novel property that the internal metric depends on the external data. The result can be viewed as a central step towards developing an amplituhedron formulation for ABJM amplitudes. Various properties of Grassmannian integrals are examined, including boundary properties, pole structure, and a homological interpretation of the global residue theorems for $\mathcal{N}=4$ SYM.

5.880039

5.564158

6.594725

5.604303

5.827286

5.546672

5.717213

5.886097

5.797432

6.677889

5.380355

5.783937

6.002801

5.635096

5.555518

5.749084

5.661366

5.647445

5.564033

6.182537

5.609796

hep-th/0208076

George Papadopoulos

W. Machin and G. Papadopoulos

Supersymmetric Gauge Theories, Vortices and Equivariant Cohomology

45 pages, Latex

Class.Quant.Grav.20:1233-1266,2003

10.1088/0264-9381/20/7/302

null

hep-th

null

We construct actions for (p,0)- and (p,1)- supersymmetric, 1 <= p <= 4, two-dimensional gauge theories coupled to non-linear sigma model matter with a Wess-Zumino term. We derive the scalar potential for a large class of these models. We then show that the Euclidean actions of the (2,0) and (4,0)-supersymmetric models without Wess-Zumino terms are bounded by topological charges which involve the equivariant extensions of the Kahler forms of the sigma model target spaces evaluated on the two-dimensional spacetime. We give similar bounds for Euclidean actions of appropriate gauge theories coupled to non-linear sigma model matter in higher spacetime dimensions which now involve the equivariant extensions of the Kahler forms of the sigma model target spaces and the second Chern character of gauge fields. The BPS configurations are generalisations of abelian and non-abelian vortices.

[ { "created": "Sat, 10 Aug 2002 15:45:19 GMT", "version": "v1" } ]

2009-10-09

[ [ "Machin", "W.", "" ], [ "Papadopoulos", "G.", "" ] ]

We construct actions for (p,0)- and (p,1)- supersymmetric, 1 <= p <= 4, two-dimensional gauge theories coupled to non-linear sigma model matter with a Wess-Zumino term. We derive the scalar potential for a large class of these models. We then show that the Euclidean actions of the (2,0) and (4,0)-supersymmetric models without Wess-Zumino terms are bounded by topological charges which involve the equivariant extensions of the Kahler forms of the sigma model target spaces evaluated on the two-dimensional spacetime. We give similar bounds for Euclidean actions of appropriate gauge theories coupled to non-linear sigma model matter in higher spacetime dimensions which now involve the equivariant extensions of the Kahler forms of the sigma model target spaces and the second Chern character of gauge fields. The BPS configurations are generalisations of abelian and non-abelian vortices.

7.931919

6.229336

8.015495

6.704019

6.320659

6.135474

6.590336

6.33972

6.377613

9.704765

6.502821

6.892838

7.687162

7.2349

7.125782

7.229798

7.002904

7.011492

7.163356

7.576511

7.094121

1011.5872

Luis Castro

Luis B. Castro and Luis E. Arroyo Meza

Fermion localization on branes with generalized dynamics

6 pages, 3 figures

EPL 102 (2013) 21001

10.1209/0295-5075/102/21001

null

hep-th gr-qc

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

In this letter we consider a specific model of braneworld with nonstandard dynamics diffused in the literature, specifically we focus our attention on the matter energy density, the energy of system, the Ricci scalar and the thin brane limit. As the model is classically stable and capable of localize gravity, as a natural extension we address the issue of fermion localization of fermions on a thick brane constructed out from one scalar field with nonstandard kinetic terms coupled with gravity. The contribution of the nonstandard kinetic terms in the problem of fermion localization is analyzed. It is found that the simplest Yukawa coupling $\eta\bar{\Psi}\phi\Psi$ support the localization of fermions on the thick brane. It is shown that the zero mode for left-handed can be localized on the thick brane depending on the values for the coupling constant $\eta$.

[ { "created": "Fri, 26 Nov 2010 20:41:01 GMT", "version": "v1" }, { "created": "Mon, 21 Mar 2011 17:58:06 GMT", "version": "v2" }, { "created": "Thu, 28 Mar 2013 12:25:58 GMT", "version": "v3" } ]

2015-02-24

[ [ "Castro", "Luis B.", "" ], [ "Meza", "Luis E. Arroyo", "" ] ]

In this letter we consider a specific model of braneworld with nonstandard dynamics diffused in the literature, specifically we focus our attention on the matter energy density, the energy of system, the Ricci scalar and the thin brane limit. As the model is classically stable and capable of localize gravity, as a natural extension we address the issue of fermion localization of fermions on a thick brane constructed out from one scalar field with nonstandard kinetic terms coupled with gravity. The contribution of the nonstandard kinetic terms in the problem of fermion localization is analyzed. It is found that the simplest Yukawa coupling $\eta\bar{\Psi}\phi\Psi$ support the localization of fermions on the thick brane. It is shown that the zero mode for left-handed can be localized on the thick brane depending on the values for the coupling constant $\eta$.

11.131251

8.496868

11.318521

9.82559

9.534483

9.665669

9.577979

9.061522

8.689231

10.665273

9.2663

9.852401

10.84883

10.024356

9.804797

9.531542

10.053329

10.022671

10.078382

10.324371

10.44404

hep-th/0011200

Jose Manuel velhinho

J. M. Velhinho

A groupoid approach to spaces of generalized connections

20 pages, LaTeX, added references

J.Geom.Phys. 41 (2002) 166-180

10.1016/S0393-0440(01)00051-1

null

hep-th

null

The quantum completion of the space of connections in a manifold can be seen as the set of all morphisms from the groupoid of the edges of the manifold to the (compact) gauge group. This algebraic construction generalizes an analogous description of the gauge-invariant quantum configuration space of Ashtekar and Isham, clarifying the relation between the two spaces. We present a description of the groupoid approach which brings the gauge-invariant degrees of freedom to the foreground, thus making the action of the gauge group more transparent.

[ { "created": "Wed, 22 Nov 2000 16:01:22 GMT", "version": "v1" }, { "created": "Wed, 17 Jan 2001 12:07:47 GMT", "version": "v2" } ]

2015-06-25

[ [ "Velhinho", "J. M.", "" ] ]

The quantum completion of the space of connections in a manifold can be seen as the set of all morphisms from the groupoid of the edges of the manifold to the (compact) gauge group. This algebraic construction generalizes an analogous description of the gauge-invariant quantum configuration space of Ashtekar and Isham, clarifying the relation between the two spaces. We present a description of the groupoid approach which brings the gauge-invariant degrees of freedom to the foreground, thus making the action of the gauge group more transparent.

9.673419

9.114697

9.443179

8.505733

8.719374

8.596298

10.490102

9.015958

10.171895

9.950786

9.469094

9.364429

8.909845

8.822975

9.20421

8.933298

9.0208

8.70749

9.084218

8.932004

8.97095