LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/9704023

Henneaux M.

Marc Henneaux

Anomalies and Renormalization of BFYM Theory

null

Phys.Lett. B406 (1997) 66-69

10.1016/S0370-2693(97)00653-9

null

hep-th

null

The (perturbative) renormalization properties of the BF formulation of Yang-Mills gauge models are shown to be identical to those of the usual, second order formulation. This result holds in any number of spacetime dimensions and is a direct consequence of cohomological theorems established by G. Barnich, F. Brandt and the author (Commun.Math.Phys., 174 (1995) 57).

[ { "created": "Thu, 3 Apr 1997 09:56:53 GMT", "version": "v1" } ]

2009-10-30

[ [ "Henneaux", "Marc", "" ] ]

The (perturbative) renormalization properties of the BF formulation of Yang-Mills gauge models are shown to be identical to those of the usual, second order formulation. This result holds in any number of spacetime dimensions and is a direct consequence of cohomological theorems established by G. Barnich, F. Brandt and the author (Commun.Math.Phys., 174 (1995) 57).

6.168154

6.634206

5.596628

6.036401

6.720467

6.531873

6.353017

5.887807

6.357731

10.034818

5.96568

5.526768

6.239037

5.573726

5.570935

5.657162

5.852086

5.782228

5.618579

6.377473

5.619781

hep-th/0506026

Farhang Loran

F. Loran and E. Bavarsad

Metastable de Sitter vacua from critical scalar theory

revtex4, minor corrections, 3 references added

null

hep-th

null

Studying the critical scalar theory in four dimensional Euclidean space with the potential term $-g\phi^4$ we show that the theory can not be analytically continued through g=0 from g<0 region to g>0 region. For g>0 although energy is not bounded from below but there exist a classical trajectory with an AdS5 moduli space, corresponding to a metastable local minima of the action. The fluctuation around this solution is governed by a minimally coupled scalar theory on four dimensional de Sitter background with a reversed Mexican hat potential. Since in the weak coupling limit, the partition function picks up contribution only around classical solutions, one can assume that our de Sitter universe corresponds to that local minima which lifetime increases exponentially as the coupling constant tends to zero. Similar results is obtained in the case of critical scalar theory coupled to U(1) gauge field which is essential for people living on flat Euclidean space to observe a de Sitter background by optical instruments.

[ { "created": "Thu, 2 Jun 2005 14:26:24 GMT", "version": "v1" }, { "created": "Sat, 23 Jul 2005 13:35:46 GMT", "version": "v2" } ]

2016-09-06

[ [ "Loran", "F.", "" ], [ "Bavarsad", "E.", "" ] ]

Studying the critical scalar theory in four dimensional Euclidean space with the potential term $-g\phi^4$ we show that the theory can not be analytically continued through g=0 from g<0 region to g>0 region. For g>0 although energy is not bounded from below but there exist a classical trajectory with an AdS5 moduli space, corresponding to a metastable local minima of the action. The fluctuation around this solution is governed by a minimally coupled scalar theory on four dimensional de Sitter background with a reversed Mexican hat potential. Since in the weak coupling limit, the partition function picks up contribution only around classical solutions, one can assume that our de Sitter universe corresponds to that local minima which lifetime increases exponentially as the coupling constant tends to zero. Similar results is obtained in the case of critical scalar theory coupled to U(1) gauge field which is essential for people living on flat Euclidean space to observe a de Sitter background by optical instruments.

13.927176

14.605389

14.999079

13.715136

15.21835

14.785305

13.867313

14.241858

14.207335

17.141544

13.398508

13.934469

13.730978

13.449742

13.661001

13.389017

13.256382

13.292396

13.341904

13.528448

13.306201

hep-th/0306111

Brandon Carter

Brandon Carter and Xavier Martin

Dynamical instability criterion for circular (vorton) string loops

20 page TeX file (with typo corrections and added reference) of manuscript published (with shorter title) in Annals of Physics

Annals Phys. 227 (1993) 151-171

10.1006/aphy.1993.1078

null

hep-th

null

Dynamic perturbation equations are derived for a generic stationary state of an elastic string model -- of the kind appropriate for representing a superconducting cosmic string -- in a flat background. In the case of a circular equilibrium (i.e. vorton) state of a closed string loop it is shown that the fundamental axisymmetric ($n=0$) and lowest order ($n=1$) nonaxisymmetric perturbation modes can never be unstable. However, stability for modes of higher order ($n\geq 2$) is found to be non-trivially dependent on the values of the characteristic propagation velocity, $c$ say, of longitudinal perturbations and of the corresponding extrinsic perturbation velocity, $v$ say. For each mode number the criterion for instability is the existence of nonreal roots for a certain cubic eigenvalue equation for the corresponding mode frequency. A very simple sufficient but not necessary condition for reality of the roots and therefore absence of instability is that the characteristic velocity ratio, $c/v$ be greater than or equal to unity. Closer examination of the low velocity (experimentally accessible) nonrelativistic regime shows that in that limit the criterion for instability is just that the dimensionless characteristic ratio $c/v$ be less than a critical value $\chi_c$ whose numerical value is approximately $1\over 2$. In the relativistic regime that is relevant to superconducting cosmic strings the situation is rather delicate, calling for more detailed investigation that is postponed for future work.

[ { "created": "Thu, 12 Jun 2003 12:19:42 GMT", "version": "v1" } ]

2009-11-10

[ [ "Carter", "Brandon", "" ], [ "Martin", "Xavier", "" ] ]

Dynamic perturbation equations are derived for a generic stationary state of an elastic string model -- of the kind appropriate for representing a superconducting cosmic string -- in a flat background. In the case of a circular equilibrium (i.e. vorton) state of a closed string loop it is shown that the fundamental axisymmetric ($n=0$) and lowest order ($n=1$) nonaxisymmetric perturbation modes can never be unstable. However, stability for modes of higher order ($n\geq 2$) is found to be non-trivially dependent on the values of the characteristic propagation velocity, $c$ say, of longitudinal perturbations and of the corresponding extrinsic perturbation velocity, $v$ say. For each mode number the criterion for instability is the existence of nonreal roots for a certain cubic eigenvalue equation for the corresponding mode frequency. A very simple sufficient but not necessary condition for reality of the roots and therefore absence of instability is that the characteristic velocity ratio, $c/v$ be greater than or equal to unity. Closer examination of the low velocity (experimentally accessible) nonrelativistic regime shows that in that limit the criterion for instability is just that the dimensionless characteristic ratio $c/v$ be less than a critical value $\chi_c$ whose numerical value is approximately $1\over 2$. In the relativistic regime that is relevant to superconducting cosmic strings the situation is rather delicate, calling for more detailed investigation that is postponed for future work.

9.82456

10.187962

9.676558

9.179744

10.484911

9.582017

10.866448

9.854979

9.333017

9.995299

9.496834

9.556354

9.211121

9.218852

9.469873

9.544572

9.572546

9.318986

9.430791

9.423802

9.574669

hep-th/0003068

Stefan Foerste

Stefan Forste, Debashis Ghoshal and Stefan Theisen

Wilson loop via AdS/CFT duality

6 pages, Latex, contribution to the proceedings of the TMR network conference in Paris 1999

null

hep-th

null

The Wilson loop in N=4 supersymmetric Yang-Mills theory admits a dual description as a macroscopic string configuration in the adS/CFT correspondence. We discuss the correction to the quark anti-quark potential arising from the fluctuations of the superstring.

[ { "created": "Thu, 9 Mar 2000 11:20:20 GMT", "version": "v1" } ]

2007-05-23

[ [ "Forste", "Stefan", "" ], [ "Ghoshal", "Debashis", "" ], [ "Theisen", "Stefan", "" ] ]

The Wilson loop in N=4 supersymmetric Yang-Mills theory admits a dual description as a macroscopic string configuration in the adS/CFT correspondence. We discuss the correction to the quark anti-quark potential arising from the fluctuations of the superstring.

9.878665

6.078829

7.886018

6.753093

7.423263

6.244894

6.381389

6.535261

5.896989

8.06673

7.110107

7.17331

7.427515

6.808222

7.231493

7.188838

7.335126

6.76685

7.179902

7.933933

6.949193

hep-th/9910242

Sanchez

M. P. Infante, N. Sanchez

Minimal String Driven Cosmology and its Predictions

22 pages Latex file, 2 figures

null

DFTUZ/99/15

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

null

We present a minimal model for the Universe evolution fully extracted from effective String Theory. By linking this model with a minimal but well established observational information, we prove that it gives realistic predictions on early and current energy density and its results are compatible with General Relativity. Interestingly enough, the predicted current energy density is found $\Omega = 1$ and in anycase with lower limit $\Omega \geq {4/9}$. On the other hand, the energy density at the exit of inflationary stage gives also $\Omega|_{inf}=1$. This result shows an agreement with General Relativity (spatially flat metric gives critical energy density) within an unequivalent Non-Einstenian context (string low energy effective equations). The order of magnitude of the energy density-dilaton coupled term at the beginning of radiation dominated stage agrees with GUT scale. Without solving the known problems about higher order corrections and graceful exit of inflation, we find this model closer to the observational Universe properties than the current available string cosmology scenarii. At a more fundamental level, this model is by its construction close to the standard cosmological evolution, and it is driven selfconsistently by the evolution of the string equation of state itself. The inflationary String Driven stage is able to reach an enough amount of inflation, describing a Big Bang like evolution for the metric.

[ { "created": "Fri, 29 Oct 1999 14:09:39 GMT", "version": "v1" } ]

2007-05-23

[ [ "Infante", "M. P.", "" ], [ "Sanchez", "N.", "" ] ]

We present a minimal model for the Universe evolution fully extracted from effective String Theory. By linking this model with a minimal but well established observational information, we prove that it gives realistic predictions on early and current energy density and its results are compatible with General Relativity. Interestingly enough, the predicted current energy density is found $\Omega = 1$ and in anycase with lower limit $\Omega \geq {4/9}$. On the other hand, the energy density at the exit of inflationary stage gives also $\Omega|_{inf}=1$. This result shows an agreement with General Relativity (spatially flat metric gives critical energy density) within an unequivalent Non-Einstenian context (string low energy effective equations). The order of magnitude of the energy density-dilaton coupled term at the beginning of radiation dominated stage agrees with GUT scale. Without solving the known problems about higher order corrections and graceful exit of inflation, we find this model closer to the observational Universe properties than the current available string cosmology scenarii. At a more fundamental level, this model is by its construction close to the standard cosmological evolution, and it is driven selfconsistently by the evolution of the string equation of state itself. The inflationary String Driven stage is able to reach an enough amount of inflation, describing a Big Bang like evolution for the metric.

20.224989

15.106133

20.655178

17.341234

20.669001

21.259081

22.026632

17.124037

17.463974

20.359564

17.5688

18.567469

19.53903

18.980875

19.872866

19.2656

19.36141

18.841639

19.212692

20.028852

18.937088

1106.3906

Owen Pavel Fern\'andez Piedra

Owen Pavel Fern\'andez Piedra, Fidel Sosa, Jos\'e L. Bernal-Castillo and Yulier Jimenez

Object picture, quasinormal modes and late time tails of fermion perturbations in stringy black hole with U(1) charges

13 pages, 10 figures

Int. J. Mod. Phys. D 21, 125004 (2012)

10.1142/S0218271812500447

GEA-UCF 2011/01

hep-th

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

The aim of the present report is to study massless fermion perturbations outside five-dimensional stringy black holes with U(1) charges. The Dirac equation was numerically solved to obtain the time profiles for the evolving fermion fields, and the quasinormal frequencies at intermediate times are computed by numerical Prony fitting and semianalytical WKB expansion at sixth order. We also computed numerically the late-time power law decay factors, showing that there are in correspondence with previously reported results for the case of boson fields in higher dimensional odd space-times. The dependence of quasinormal frequencies with U(1) compactification charges are studied, and the stability of this class of higher dimensional black holes under fermion perturbations is established.

[ { "created": "Mon, 20 Jun 2011 13:59:21 GMT", "version": "v1" }, { "created": "Sat, 9 Jun 2012 14:56:21 GMT", "version": "v2" } ]

2015-05-28

[ [ "Piedra", "Owen Pavel Fernández", "" ], [ "Sosa", "Fidel", "" ], [ "Bernal-Castillo", "José L.", "" ], [ "Jimenez", "Yulier", "" ] ]

The aim of the present report is to study massless fermion perturbations outside five-dimensional stringy black holes with U(1) charges. The Dirac equation was numerically solved to obtain the time profiles for the evolving fermion fields, and the quasinormal frequencies at intermediate times are computed by numerical Prony fitting and semianalytical WKB expansion at sixth order. We also computed numerically the late-time power law decay factors, showing that there are in correspondence with previously reported results for the case of boson fields in higher dimensional odd space-times. The dependence of quasinormal frequencies with U(1) compactification charges are studied, and the stability of this class of higher dimensional black holes under fermion perturbations is established.

12.511411

13.581502

11.268847

11.417095

13.256076

13.64834

13.289097

10.699942

12.788149

12.662258

13.022145

12.551181

12.291695

12.455674

12.523964

12.766916

12.936212

12.002074

13.081696

12.375299

11.794027

hep-th/0111108

Gabriel Flores

Gabriel H. Flores and N.F. Svaiter

Quantum Properties of Solitons in $U(\phi)=\phi^2\ln^2(\phi^2)$ and $U(\phi)=\phi^2\cos^2(\phi^2)$ Models

18 pages, 4 figures

null

hep-th

null

Recently we constructed two new $(1+1)$-dimensional scalar field theory models that posses solitonic solutions. They are the $U(\phi)=\phi^2\ln^2(\phi^2)$ and the $U(\phi)=\phi^2\cos^2(\phi^2)$ models . The first quantum corrections for these models are given by exactly solvable Schrodinger equations. In this paper we first examine the quantum meaning of the solitonic solutions and study the scattering of the mesons by the quantum soliton at order $\hbar$. Finally we give a finite expression for the soliton masses of both models and evaluate such expression approximately in the case of the second model.

[ { "created": "Mon, 12 Nov 2001 18:50:04 GMT", "version": "v1" } ]

2007-05-23

[ [ "Flores", "Gabriel H.", "" ], [ "Svaiter", "N. F.", "" ] ]

Recently we constructed two new $(1+1)$-dimensional scalar field theory models that posses solitonic solutions. They are the $U(\phi)=\phi^2\ln^2(\phi^2)$ and the $U(\phi)=\phi^2\cos^2(\phi^2)$ models . The first quantum corrections for these models are given by exactly solvable Schrodinger equations. In this paper we first examine the quantum meaning of the solitonic solutions and study the scattering of the mesons by the quantum soliton at order $\hbar$. Finally we give a finite expression for the soliton masses of both models and evaluate such expression approximately in the case of the second model.

8.341852

7.828749

8.464893

7.694756

8.283663

8.25096

7.943794

7.757361

7.646063

8.436228

7.837293

7.54792

7.894345

7.755293

7.996196

7.78928

7.879673

7.820765

7.763727

8.043919

7.914166

hep-th/9907074

Angel Uranga

J. Park, R. Rabadan, A. M. Uranga

N=1 Type IIA brane configurations, Chirality and T-duality

39 pages, Latex, 7 eps figures. References added

Nucl.Phys.B570:3-37,2000

10.1016/S0550-3213(99)00699-9

FTUAM-99/21, IASSNS-HEP-99/61, IFT-UAM/CSIC-99-25

hep-th

null

We consider four-dimensional N=1 field theories realized by type IIA brane configurations of NS-branes and D4-branes, in the presence of orientifold six-planes and D6-branes. These configurations are known to present interesting effects associated to the appearance of chiral symmetries and chiral matter in the four-dimensional field theory. We center on models with one compact direction (elliptic models) and show that, under T-duality, the configurations are mapped to a set of type IIB D3-branes probing N=1 orientifolds of C^2/Z_N singularities. We explicitly construct these orientifolds, and show the field theories on the D3-brane probes indeed reproduces the field theories constructed using the IIA brane configurations. This T-duality map allows to understand the type IIB realization of several exotic brane dynamics effects on the type IIA side: Flavour doubling, the splitting of D6-branes and O6-planes in crossing a NS-brane and the effect of a non-zero type IIA cosmological constant turn out to have surprisingly standard type IIB counterparts.

[ { "created": "Sat, 10 Jul 1999 17:01:51 GMT", "version": "v1" }, { "created": "Thu, 29 Jul 1999 23:09:38 GMT", "version": "v2" } ]

2009-10-09

[ [ "Park", "J.", "" ], [ "Rabadan", "R.", "" ], [ "Uranga", "A. M.", "" ] ]

We consider four-dimensional N=1 field theories realized by type IIA brane configurations of NS-branes and D4-branes, in the presence of orientifold six-planes and D6-branes. These configurations are known to present interesting effects associated to the appearance of chiral symmetries and chiral matter in the four-dimensional field theory. We center on models with one compact direction (elliptic models) and show that, under T-duality, the configurations are mapped to a set of type IIB D3-branes probing N=1 orientifolds of C^2/Z_N singularities. We explicitly construct these orientifolds, and show the field theories on the D3-brane probes indeed reproduces the field theories constructed using the IIA brane configurations. This T-duality map allows to understand the type IIB realization of several exotic brane dynamics effects on the type IIA side: Flavour doubling, the splitting of D6-branes and O6-planes in crossing a NS-brane and the effect of a non-zero type IIA cosmological constant turn out to have surprisingly standard type IIB counterparts.

9.016143

8.360482

10.293562

7.985304

8.61056

8.359231

8.410056

8.038363

8.170693

10.945272

8.06772

8.52136

9.270141

8.440081

8.640641

8.526731

8.468361

8.654463

8.337269

9.524965

8.426985

hep-th/0305220

Tobias Hurth

P.A. Grassi (SUNY Stony Brook), T. Hurth (CERN, SLAC), A. Quadri (MPI Munich)

Super Background Field Method for N=2 SYM

34 pages, Latex, JHEP3.cls

JHEP0307:008,2003

10.1088/1126-6708/2003/07/008

YITP-2002-57, CERN-TH/2002-369, SLAC-PUB-9853, MPI-Pht-2002-81

hep-th hep-ph

null

The implementation of the Background Field Method (BFM) for quantum field theories is analysed within the Batalin-Vilkovisky (BV) formalism. We provide a systematic way of constructing general splittings of the fields into classical and quantum parts, such that the background transformations of the quantum fields are linear in the quantum variables. This leads to linear Ward-Takahashi identities for the background invariance and to great simplifications in multiloop computations. In addition, the gauge fixing is obtained by means of (anti)canonical transformations generated by the gauge-fixing fermion. Within this framework we derive the BFM for the N=2 Super-Yang-Mills theory in the Wess-Zumino gauge viewed as the twisted version of Donaldson-Witten topological gauge theory. We obtain the background transformations for the full BRST differential of N=2 Super-Yang-Mills (including gauge transformations, SUSY transformations and translations). The BFM permits all observables of the supersymmetric theory to be identified easily by computing the equivariant cohomology of the topological theory. These results should be regarded as a step towards the construction of a super BFM for the Minimal Supersymmetric Standard Model.

[ { "created": "Sun, 25 May 2003 15:59:25 GMT", "version": "v1" } ]

2009-11-10

[ [ "Grassi", "P. A.", "", "SUNY Stony Brook" ], [ "Hurth", "T.", "", "CERN, SLAC" ], [ "Quadri", "A.", "", "MPI\n Munich" ] ]

The implementation of the Background Field Method (BFM) for quantum field theories is analysed within the Batalin-Vilkovisky (BV) formalism. We provide a systematic way of constructing general splittings of the fields into classical and quantum parts, such that the background transformations of the quantum fields are linear in the quantum variables. This leads to linear Ward-Takahashi identities for the background invariance and to great simplifications in multiloop computations. In addition, the gauge fixing is obtained by means of (anti)canonical transformations generated by the gauge-fixing fermion. Within this framework we derive the BFM for the N=2 Super-Yang-Mills theory in the Wess-Zumino gauge viewed as the twisted version of Donaldson-Witten topological gauge theory. We obtain the background transformations for the full BRST differential of N=2 Super-Yang-Mills (including gauge transformations, SUSY transformations and translations). The BFM permits all observables of the supersymmetric theory to be identified easily by computing the equivariant cohomology of the topological theory. These results should be regarded as a step towards the construction of a super BFM for the Minimal Supersymmetric Standard Model.

8.266269

8.046278

8.648341

7.583036

7.883524

8.035951

8.855237

7.716902

7.8167

9.254039

7.779618

7.787408

7.936888

7.703249

7.553652

7.618744

7.626815

7.586163

7.794967

7.930232

7.684383

1803.00991

Jay Armas

Jay Armas, Jakob Gath, Akash Jain, and Andreas Vigand Pedersen

Dissipative hydrodynamics with higher-form symmetry

v2: 30 pages; presentation improved, typos fixed, to be published in JHEP

JHEP 05 (2018) 192

10.1007/JHEP05(2018)192

DCPT-18/01

hep-th cond-mat.str-el

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

A theory of parity-invariant dissipative fluids with $q$-form symmetry is formulated to first order in a derivative expansion. The fluid is anisotropic with symmetry $\text{SO}(D-1-q)\times\text{SO}(q)$ and carries dissolved $q$-dimensional charged objects that couple to a $(q+1)$-form background gauge field. The case $q=1$ for which the fluid carries string charge is related to magnetohydrodynamics in $D=4$ spacetime dimensions. We identify $q$+7 parity-even independent transport coefficients at first order in derivatives for $q>1$. In particular, compared to the $q=1$ case under the assumption of parity and charge conjugation invariance, fluids with $q>1$ are characterised by $q$ extra transport coefficients with the physical interpretation of shear viscosity in the $\text{SO}(q)$ sector and current resistivities. We discuss certain issues related to the existence of a hydrostatic sector for fluids with higher-form symmetry for any $q\ge1$. We extend these results in order to include an interface separating different fluid phases and study the dispersion relation of capillary waves finding clear signatures of anisotropy. The formalism developed here can be easily adapted to study hydrodynamics with multiple higher-form symmetries.

[ { "created": "Fri, 2 Mar 2018 18:43:06 GMT", "version": "v1" }, { "created": "Tue, 29 May 2018 18:03:28 GMT", "version": "v2" } ]

2018-06-05

[ [ "Armas", "Jay", "" ], [ "Gath", "Jakob", "" ], [ "Jain", "Akash", "" ], [ "Pedersen", "Andreas Vigand", "" ] ]

A theory of parity-invariant dissipative fluids with $q$-form symmetry is formulated to first order in a derivative expansion. The fluid is anisotropic with symmetry $\text{SO}(D-1-q)\times\text{SO}(q)$ and carries dissolved $q$-dimensional charged objects that couple to a $(q+1)$-form background gauge field. The case $q=1$ for which the fluid carries string charge is related to magnetohydrodynamics in $D=4$ spacetime dimensions. We identify $q$+7 parity-even independent transport coefficients at first order in derivatives for $q>1$. In particular, compared to the $q=1$ case under the assumption of parity and charge conjugation invariance, fluids with $q>1$ are characterised by $q$ extra transport coefficients with the physical interpretation of shear viscosity in the $\text{SO}(q)$ sector and current resistivities. We discuss certain issues related to the existence of a hydrostatic sector for fluids with higher-form symmetry for any $q\ge1$. We extend these results in order to include an interface separating different fluid phases and study the dispersion relation of capillary waves finding clear signatures of anisotropy. The formalism developed here can be easily adapted to study hydrodynamics with multiple higher-form symmetries.

8.179185

8.052202

9.673951

8.010306

8.408914

9.22945

8.100844

8.407752

7.8819

9.554561

7.975664

7.80758

8.460873

7.945426

7.889576

7.914947

7.893074

7.968563

7.917793

8.624564

7.769207

1711.09966

Humberto Gomez

Nathan Berkovits and Humberto Gomez

An Introduction to Pure Spinor Superstring Theory

Villa de Leyva Summer School 2015 proceedings, 28 pages, 2 figures

null

hep-th

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

In these lecture notes presented at the 2015 Villa de Leyva Summer School, we give an introduction to superstring theory. We begin by studying the particle and superparticle in order to get a better understanding on the superstring side. Afterwards, we review the pure spinor formalism and end by computing the scattering amplitude for three gravitons at tree-level.

[ { "created": "Mon, 27 Nov 2017 20:17:19 GMT", "version": "v1" } ]

2017-11-29

[ [ "Berkovits", "Nathan", "" ], [ "Gomez", "Humberto", "" ] ]

In these lecture notes presented at the 2015 Villa de Leyva Summer School, we give an introduction to superstring theory. We begin by studying the particle and superparticle in order to get a better understanding on the superstring side. Afterwards, we review the pure spinor formalism and end by computing the scattering amplitude for three gravitons at tree-level.

9.615987

7.884281

10.737979

7.285555

7.605815

7.764059

8.553855

8.037851

7.375687

9.870887

7.654751

7.860171

9.000783

8.116318

7.568515

8.107479

7.625989

7.579208

7.861599

8.377225

7.788373

hep-th/0105261

Andreas Albrecht

A. Albrecht, C.P. Burgess, F. Ravndal and C. Skordis

Exponentially Large Extra Dimensions

15 Pages including 1 figure. V3: Final version accepted for publication in PRD. This version has an improved discussion (in section IV-B) of our mechanism for preserving the small radion mass. No changes have been made to the technical content or results

Phys.Rev.D65:123506,2002

10.1103/PhysRevD.65.123506

null

hep-th astro-ph hep-ph

null

We show how the presence of a very light scalar with a cubic self-interaction in six dimensions can stabilize the extra dimensions at radii which are naturally exponentially large, $r \sim \ell \exp [(4\pi)^3/g^2]$, where $\ell$ is a microscopic physics scale and $g$ is the (dimensionless) cubic coupling constant. The resulting radion mode of the metric becomes a very light degree of freedom whose mass, $m \sim 1/(M_p r^2)$ is stable under radiative corrections. For $1/r \sim 10^{-3}$ eV the radion is extremely light, $m \sim 10^{-33}$ eV. Its couplings cause important deviations from General Relativity in the very early universe, but naturally evolve to phenomenologically acceptable values at present.

[ { "created": "Mon, 28 May 2001 21:24:19 GMT", "version": "v1" }, { "created": "Fri, 13 Jul 2001 19:56:01 GMT", "version": "v2" }, { "created": "Wed, 6 Feb 2002 23:42:39 GMT", "version": "v3" } ]

2010-04-08

[ [ "Albrecht", "A.", "" ], [ "Burgess", "C. P.", "" ], [ "Ravndal", "F.", "" ], [ "Skordis", "C.", "" ] ]

We show how the presence of a very light scalar with a cubic self-interaction in six dimensions can stabilize the extra dimensions at radii which are naturally exponentially large, $r \sim \ell \exp [(4\pi)^3/g^2]$, where $\ell$ is a microscopic physics scale and $g$ is the (dimensionless) cubic coupling constant. The resulting radion mode of the metric becomes a very light degree of freedom whose mass, $m \sim 1/(M_p r^2)$ is stable under radiative corrections. For $1/r \sim 10^{-3}$ eV the radion is extremely light, $m \sim 10^{-33}$ eV. Its couplings cause important deviations from General Relativity in the very early universe, but naturally evolve to phenomenologically acceptable values at present.

7.234562

7.674634

7.228703

6.462467

7.792438

7.127523

7.539562

6.997179

7.282427

7.661238

7.336601

6.88965

7.030672

6.782712

6.75924

6.988821

6.898075

7.01001

6.858408

7.131588

7.01454

hep-th/9712043

Olaf Lechtenfeld

Chandrashekar Devchand, Olaf Lechtenfeld

Extended Self-Dual Yang-Mills from the N=2 String

19 pages; typos corrected, note and reference added; published version

Nucl.Phys. B516 (1998) 255-272

10.1016/S0550-3213(98)00072-8

ITP-UH-31/97

hep-th

null

We show that the physical degrees of freedom of the critical open string with N=2 superconformal symmetry on the worldsheet are described by a self-dual Yang-Mills field on a hyperspace parametrised by the coordinates of the target space R^{2,2} together with a commuting chiral spinor. A prepotential for the self-dual connection in the hyperspace generates the infinite tower of physical fields corresponding to the inequivalent pictures or spinor ghost vacua of this string. An action is presented for this tower, which describes consistent interactions amongst fields of arbitrarily high spin. An interesting truncation to a theory of five fields is seen to have no graphs of two or more loops.

[ { "created": "Thu, 4 Dec 1997 15:02:07 GMT", "version": "v1" }, { "created": "Mon, 29 Jun 1998 10:45:09 GMT", "version": "v2" } ]

2016-09-06

[ [ "Devchand", "Chandrashekar", "" ], [ "Lechtenfeld", "Olaf", "" ] ]

We show that the physical degrees of freedom of the critical open string with N=2 superconformal symmetry on the worldsheet are described by a self-dual Yang-Mills field on a hyperspace parametrised by the coordinates of the target space R^{2,2} together with a commuting chiral spinor. A prepotential for the self-dual connection in the hyperspace generates the infinite tower of physical fields corresponding to the inequivalent pictures or spinor ghost vacua of this string. An action is presented for this tower, which describes consistent interactions amongst fields of arbitrarily high spin. An interesting truncation to a theory of five fields is seen to have no graphs of two or more loops.

12.488687

12.759661

14.726149

11.661323

12.104736

12.003623

12.099484

12.15246

11.001789

13.9455

11.277382

11.16208

11.896928

11.30979

11.095218

11.007651

11.345796

11.362973

11.091295

12.58454

11.298998

1612.04833

Abhishek Pathak

Abhishek Pathak, Achilleas P. Porfyriadis, Andrew Strominger, Oscar Varela

Logarithmic corrections to black hole entropy from Kerr/CFT

null

10.1007/JHEP04(2017)090

null

hep-th

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

It has been shown by A. Sen that logarithmic corrections to the black hole area-entropy law are entirely determined macroscopically from the massless particle spectrum. They therefore serve as powerful consistency checks on any proposed enumeration of quantum black hole microstates. Sen's results include a macroscopic computation of the logarithmic corrections for a five-dimensional near extremal Kerr-Newman black hole. Here we compute these corrections microscopically using a stringy embedding of the Kerr/CFT correspondence and find perfect agreement.

[ { "created": "Wed, 14 Dec 2016 21:00:25 GMT", "version": "v1" } ]

2017-05-24

[ [ "Pathak", "Abhishek", "" ], [ "Porfyriadis", "Achilleas P.", "" ], [ "Strominger", "Andrew", "" ], [ "Varela", "Oscar", "" ] ]

It has been shown by A. Sen that logarithmic corrections to the black hole area-entropy law are entirely determined macroscopically from the massless particle spectrum. They therefore serve as powerful consistency checks on any proposed enumeration of quantum black hole microstates. Sen's results include a macroscopic computation of the logarithmic corrections for a five-dimensional near extremal Kerr-Newman black hole. Here we compute these corrections microscopically using a stringy embedding of the Kerr/CFT correspondence and find perfect agreement.

9.914547

9.387222

8.51688

8.833349

8.725051

8.843359

8.387759

8.735912

8.498687

10.110106

7.836291

7.850011

8.518356

8.27495

8.093632

8.074224

8.495914

8.50342

8.388792

8.842461

8.410549

2108.08859

Constantinos Papageorgakis

Gergely K\'antor, Vasilis Niarchos, Constantinos Papageorgakis

Solving Conformal Field Theories with Artificial Intelligence

6 pages; v2: references added

null

10.1103/PhysRevLett.128.041601

null

hep-th

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

In this paper we deploy for the first time Reinforcement-Learning algorithms in the context of the conformal-bootstrap programme to obtain numerical solutions of conformal field theories (CFTs). As an illustration, we use a soft Actor-Critic algorithm and find approximate solutions to the truncated crossing equations of two-dimensional CFTs, successfully identifying well-known theories like the 2D Ising model and the 2D CFT of a compactified scalar. Our methods can perform efficient high-dimensional searches that can be used to study arbitrary (unitary or non-unitary) CFTs in any spacetime dimension.

[ { "created": "Thu, 19 Aug 2021 18:00:57 GMT", "version": "v1" }, { "created": "Wed, 1 Sep 2021 13:46:47 GMT", "version": "v2" } ]

2022-02-02

[ [ "Kántor", "Gergely", "" ], [ "Niarchos", "Vasilis", "" ], [ "Papageorgakis", "Constantinos", "" ] ]

In this paper we deploy for the first time Reinforcement-Learning algorithms in the context of the conformal-bootstrap programme to obtain numerical solutions of conformal field theories (CFTs). As an illustration, we use a soft Actor-Critic algorithm and find approximate solutions to the truncated crossing equations of two-dimensional CFTs, successfully identifying well-known theories like the 2D Ising model and the 2D CFT of a compactified scalar. Our methods can perform efficient high-dimensional searches that can be used to study arbitrary (unitary or non-unitary) CFTs in any spacetime dimension.

11.49905

9.726433

11.095387

9.322319

10.030694

10.135659

9.954718

9.150024

9.777575

11.847572

9.700646

9.71167

10.203015

9.778986

9.560514

9.685557

9.799571

9.811136

9.450445

10.762475

9.743312

hep-th/0606136

Toshihiro Matsuo

Feng-Li Lin, Toshihiro Matsuo

Jet Quenching Parameter in Medium with Chemical Potential from AdS/CFT

10 pages, 1 figure;v2 minor changes, references added; v3 minor changes and final to PLB

Phys.Lett.B641:45-49,2006

10.1016/j.physletb.2006.08.024

null

hep-th hep-ph nucl-th

null

We calculate the jet quenching parameter in medium with chemical potential from AdS/CFT correspondence. Our result is summarized in a plot. Moreover, we extract the explicit form of the jet quenching parameter of medium with small chemical potential for phases of dual SYM corresponding to large and small black holes. For the former phase, the jet quenching is increased as the charge density increases, however, for the latter it is the opposite though the background is thermodynamically unstable.

[ { "created": "Thu, 15 Jun 2006 14:30:21 GMT", "version": "v1" }, { "created": "Tue, 20 Jun 2006 02:12:23 GMT", "version": "v2" }, { "created": "Tue, 15 Aug 2006 03:21:53 GMT", "version": "v3" } ]

2008-11-26

[ [ "Lin", "Feng-Li", "" ], [ "Matsuo", "Toshihiro", "" ] ]

We calculate the jet quenching parameter in medium with chemical potential from AdS/CFT correspondence. Our result is summarized in a plot. Moreover, we extract the explicit form of the jet quenching parameter of medium with small chemical potential for phases of dual SYM corresponding to large and small black holes. For the former phase, the jet quenching is increased as the charge density increases, however, for the latter it is the opposite though the background is thermodynamically unstable.

10.765157

10.462887

11.315656

9.510107

10.71704

10.457402

10.365553

10.246057

10.343431

11.551516

10.200583

10.651978

11.556832

10.693682

10.426233

10.941609

10.270142

10.08899

10.56123

10.751901

10.656597

1701.06553

Lukas Witkowski

Arthur Hebecker, Philipp Henkenjohann, Lukas T. Witkowski

What is the Magnetic Weak Gravity Conjecture for Axions?

29 pages, 7 figures; v2: Comment on topologically inflating monopoles added; v3: References added

null

10.1002/prop.201700011

null

hep-th gr-qc

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

The electric Weak Gravity Conjecture demands that axions with large decay constant $f$ couple to light instantons. The resulting large instantonic corrections pose problems for natural inflation. We explore an alternative argument based on the magnetic Weak Gravity Conjecture for axions, which we try to make more precise. Roughly speaking, it demands that the minimally charged string coupled to the dual 2-form-field exists in the effective theory. Most naively, such large-$f$ strings curve space too much to exist as static solutions, thus ruling out large-$f$ axions. More conservatively, one might allow non-static string solutions to play the role of the required charged objects. In this case, topological inflation would save the superplanckian axion. Furthermore, a large-$f$ axion may appear in the low-energy effective theory based on two subplanckian axions in the UV. The resulting effective string is a composite object built from several fundamental strings and domain walls. It may or may not satisfy the magnetic Weak Gravity Conjecture depending on how strictly the latter is interpreted and on the cosmological dynamics of this composite object, which remain to be fully understood. Finally, we recall that large-field brane inflation is naively possible in the codimension-one case. We show how string-theoretic back-reaction closes this apparent loophole of large-$f$ (non-periodic) pseudo-axions.

[ { "created": "Mon, 23 Jan 2017 18:51:08 GMT", "version": "v1" }, { "created": "Thu, 9 Feb 2017 17:45:18 GMT", "version": "v2" }, { "created": "Tue, 28 Mar 2017 16:58:53 GMT", "version": "v3" } ]

2017-04-26

[ [ "Hebecker", "Arthur", "" ], [ "Henkenjohann", "Philipp", "" ], [ "Witkowski", "Lukas T.", "" ] ]

The electric Weak Gravity Conjecture demands that axions with large decay constant $f$ couple to light instantons. The resulting large instantonic corrections pose problems for natural inflation. We explore an alternative argument based on the magnetic Weak Gravity Conjecture for axions, which we try to make more precise. Roughly speaking, it demands that the minimally charged string coupled to the dual 2-form-field exists in the effective theory. Most naively, such large-$f$ strings curve space too much to exist as static solutions, thus ruling out large-$f$ axions. More conservatively, one might allow non-static string solutions to play the role of the required charged objects. In this case, topological inflation would save the superplanckian axion. Furthermore, a large-$f$ axion may appear in the low-energy effective theory based on two subplanckian axions in the UV. The resulting effective string is a composite object built from several fundamental strings and domain walls. It may or may not satisfy the magnetic Weak Gravity Conjecture depending on how strictly the latter is interpreted and on the cosmological dynamics of this composite object, which remain to be fully understood. Finally, we recall that large-field brane inflation is naively possible in the codimension-one case. We show how string-theoretic back-reaction closes this apparent loophole of large-$f$ (non-periodic) pseudo-axions.

12.936276

13.596084

14.841074

13.468877

13.892603

14.551989

14.51797

14.295674

13.588698

14.596557

13.240629

13.377256

13.493887

12.931851

12.896781

13.103762

12.92266

13.317461

13.102468

13.328592

12.635605

hep-th/9912116

Andrei Ivanov

M.Faber, A.I. Ivanov, A. Mueller and N.I. Troitskaya

On the dual-vector field condensation in the dual Monopole Nambu-Jona-Lasinio model with dual Dirac strings

19 pages, no figers, Latex

null

hep-th

null

The condensation of a dual-vector field is investigated in the dual Monopole Nambu-Jona-Lasinio model with dual Dirac strings. The condensate of a dual-vector field is calculated as a functional of a shape of a dual Dirac string. The obtained result is compared with the gluon condensate calculated in a QCD sum rules approach and on lattice.

[ { "created": "Tue, 14 Dec 1999 15:02:45 GMT", "version": "v1" } ]

2007-05-23

[ [ "Faber", "M.", "" ], [ "Ivanov", "A. I.", "" ], [ "Mueller", "A.", "" ], [ "Troitskaya", "N. I.", "" ] ]

The condensation of a dual-vector field is investigated in the dual Monopole Nambu-Jona-Lasinio model with dual Dirac strings. The condensate of a dual-vector field is calculated as a functional of a shape of a dual Dirac string. The obtained result is compared with the gluon condensate calculated in a QCD sum rules approach and on lattice.

10.260503

7.766853

9.049083

7.591993

9.072552

8.30307

8.168214

7.884661

8.091537

10.966778

8.613484

8.709266

8.512867

8.345485

8.541438

8.742857

8.362814

8.385478

8.354801

9.097802

8.93657

hep-th/0105249

Youm Donam

Donam Youm

The Cardy-Verlinde Formula and Charged Topological AdS Black Holes

10 pages, LaTeX, references added

Mod.Phys.Lett. A16 (2001) 1327-1334

10.1142/S0217732301004510

IC/2001/39

hep-th

null

We consider the brane universe in the bulk background of the charged topological AdS black holes. The evolution of the brane universe is described by the Friedmann equations for a flat or an open FRW-universe containing radiation and stiff matter. We find that the temperature and entropy of the dual CFT are simply expressed in terms of the Hubble parameter and its time derivative, and the Friedmann equations coincide with thermodynamic formulas of the dual CFT at the moment when the brane crosses the black hole horizon. We obtain the generalized Cardy-Verlinde formula for the CFT with an R-charge, for any values of the curvature parameter k in the Friedmann equations.

[ { "created": "Thu, 24 May 2001 13:47:52 GMT", "version": "v1" }, { "created": "Mon, 28 May 2001 13:47:48 GMT", "version": "v2" } ]

2009-11-07

[ [ "Youm", "Donam", "" ] ]

We consider the brane universe in the bulk background of the charged topological AdS black holes. The evolution of the brane universe is described by the Friedmann equations for a flat or an open FRW-universe containing radiation and stiff matter. We find that the temperature and entropy of the dual CFT are simply expressed in terms of the Hubble parameter and its time derivative, and the Friedmann equations coincide with thermodynamic formulas of the dual CFT at the moment when the brane crosses the black hole horizon. We obtain the generalized Cardy-Verlinde formula for the CFT with an R-charge, for any values of the curvature parameter k in the Friedmann equations.

7.211056

5.399063

7.059043

5.947899

5.082518

5.196258

5.679462

5.706442

6.180565

7.133907

5.727668

6.714378

6.814445

6.481183

6.439603

6.394746

6.467389

6.552125

6.607123

6.808124

6.634686

2106.14971

Mithat Unsal

Mithat \"Unsal

TQFT at work for IR-renormalons, resurgence and Lefschetz decomposition

7 pages, 1 figure

null

hep-th hep-lat

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

We investigate the implications of coupling a topological quantum field theory (TQFT) to Yang-Mills theory with $SU(N)$ gauge group in the context of the IR-renormalon problem. Coupling a TQFT to QFT does not change the local dynamics and perturbation theory, but it does change the bundle topology. Crucially, the configurations with integer topological charge but fractional action contribute to the path integral of the original theory. In the semi-classical regime, these are critical points at infinity, called neutral bions, and since ${\rm Arg}(g^2)=0$ is a Stokes line, their Lefschetz thimbles are two-fold ambiguous. Therein, the ambiguity in the gluon condensate is sourced by the neutral bions. The Fourier decomposition of multi-branched observables at strong coupling is compatible with the saddle decomposition at weak coupling. TQFT coupling and non-renormalization of $\theta$ angle impose constraints and helps to identify IR-renormalon. In certain IR-CFTs, we prove irrelevance of bions, and absence of IR-renormalons.

[ { "created": "Mon, 28 Jun 2021 20:34:04 GMT", "version": "v1" } ]

2021-07-02

[ [ "Ünsal", "Mithat", "" ] ]

We investigate the implications of coupling a topological quantum field theory (TQFT) to Yang-Mills theory with $SU(N)$ gauge group in the context of the IR-renormalon problem. Coupling a TQFT to QFT does not change the local dynamics and perturbation theory, but it does change the bundle topology. Crucially, the configurations with integer topological charge but fractional action contribute to the path integral of the original theory. In the semi-classical regime, these are critical points at infinity, called neutral bions, and since ${\rm Arg}(g^2)=0$ is a Stokes line, their Lefschetz thimbles are two-fold ambiguous. Therein, the ambiguity in the gluon condensate is sourced by the neutral bions. The Fourier decomposition of multi-branched observables at strong coupling is compatible with the saddle decomposition at weak coupling. TQFT coupling and non-renormalization of $\theta$ angle impose constraints and helps to identify IR-renormalon. In certain IR-CFTs, we prove irrelevance of bions, and absence of IR-renormalons.

14.441

12.467568

16.208225

13.635789

13.878963

14.422829

13.947942

13.593999

13.710709

17.528217

13.187264

14.228395

14.247503

13.948533

13.781561

13.330228

13.695951

13.696944

13.94425

14.505002

13.909038

1301.0508

Eiji Konishi

Time and a Temporally Statistical Quantum Geometrodynamics

Review, 89 pages, version to be published, v3

Int.J.Mod.Phys.A.28:1330015,2013

10.1142/S0217751X13300159

null

hep-th gr-qc

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

This paper is an exposition of the author's recent work (arXiv:1001.3382 [hep-th], arXiv:1005.5430 [cond-mat.dis-nn], arXiv:1212.4956 [quant-ph]) on modeling M-theory vacua and quantum mechanical observers in the framework of a temporally statistical description of quantum geometrodynamics, including measurement processes based on the canonical theory of quantum gravity. In this paper we deal with several fundamental issues of time: the time-less problem in canonical quantum gravity; the physical origin of state reductions; and time-reversal symmetry breaking. We first model the observers and consider the time-less problem by invoking the time reparametrization symmetry breaking in the quantum mechanical world as seen by the observers. We next construct the hidden time variable theory, using a model of the gauged and affinized S-duality symmetry in type IIB string theory, as the statistical theory of time and explain the physical origin of state reductions using it. Finally, by the extension of the time reparametrization symmetry to all of the temporal hidden variables, we treat the issue of time reversal symmetry breaking as the spontaneous breaking of this extended time reparametrization symmetry. The classification of unitary time-dependent processes and the geometrizations of unitary and non-unitary time evolutions using the language of the derived category are also investigated.

[ { "created": "Thu, 3 Jan 2013 17:08:41 GMT", "version": "v1" }, { "created": "Mon, 25 Feb 2013 14:54:05 GMT", "version": "v2" }, { "created": "Sun, 31 Mar 2013 14:53:01 GMT", "version": "v3" } ]

2015-06-12

[ [ "Konishi", "Eiji", "" ] ]

This paper is an exposition of the author's recent work (arXiv:1001.3382 [hep-th], arXiv:1005.5430 [cond-mat.dis-nn], arXiv:1212.4956 [quant-ph]) on modeling M-theory vacua and quantum mechanical observers in the framework of a temporally statistical description of quantum geometrodynamics, including measurement processes based on the canonical theory of quantum gravity. In this paper we deal with several fundamental issues of time: the time-less problem in canonical quantum gravity; the physical origin of state reductions; and time-reversal symmetry breaking. We first model the observers and consider the time-less problem by invoking the time reparametrization symmetry breaking in the quantum mechanical world as seen by the observers. We next construct the hidden time variable theory, using a model of the gauged and affinized S-duality symmetry in type IIB string theory, as the statistical theory of time and explain the physical origin of state reductions using it. Finally, by the extension of the time reparametrization symmetry to all of the temporal hidden variables, we treat the issue of time reversal symmetry breaking as the spontaneous breaking of this extended time reparametrization symmetry. The classification of unitary time-dependent processes and the geometrizations of unitary and non-unitary time evolutions using the language of the derived category are also investigated.

11.97107

13.633724

12.325133

12.030432

12.33115

12.399405

13.497639

11.895952

12.742621

13.33134

12.044182

12.489636

12.313951

12.124672

12.264845

12.234034

11.975475

12.169645

11.771273

12.19873

12.150771

hep-th/0108050

Marco Cavaglia

Marco Cavaglia, Alessandro Fabbri

Quantum gravitational corrections to black hole geometries

15 pages, 6 figures. Revised version: Introduction and conclusion expanded, section II reshaped, references added. Accepted for publication in Phys. Rev. D

Phys.Rev. D65 (2002) 044012

10.1103/PhysRevD.65.044012

MIT-CTP-3172

hep-th gr-qc

null

We calculate perturbative quantum gravity corrections to eternal two-dimensional black holes. We estimate the leading corrections to the AdS_2 black hole entropy and determine the quantum modification of N-dimensional Schwarzschild spacetime.

[ { "created": "Wed, 8 Aug 2001 14:20:46 GMT", "version": "v1" }, { "created": "Tue, 16 Oct 2001 13:55:04 GMT", "version": "v2" } ]

2009-11-07

[ [ "Cavaglia", "Marco", "" ], [ "Fabbri", "Alessandro", "" ] ]

We calculate perturbative quantum gravity corrections to eternal two-dimensional black holes. We estimate the leading corrections to the AdS_2 black hole entropy and determine the quantum modification of N-dimensional Schwarzschild spacetime.

18.348919

15.610271

18.662605

15.233477

15.427383

16.57065

15.734385

15.503436

14.233823

18.977015

16.79652

17.268562

16.282654

16.587685

17.364557

17.804552

16.53553

17.552744

15.496427

15.655549

16.272655

hep-th/0501010

Kluson Josef

J.Kluson

Non-BPS Dp-Brane in Dk-Brane Background

23 pages,typos fixed,discussion in section devoted to the time dependent tachyon condensation corrected

JHEP 0503 (2005) 044

10.1088/1126-6708/2005/03/044

null

hep-th

null

In this paper we will study the dynamics of a non-BPS Dp-brane in the background of N BPS Dk-branes.

[ { "created": "Mon, 3 Jan 2005 12:12:43 GMT", "version": "v1" }, { "created": "Mon, 10 Jan 2005 09:50:34 GMT", "version": "v2" } ]

2009-11-11

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

In this paper we will study the dynamics of a non-BPS Dp-brane in the background of N BPS Dk-branes.

9.189463

4.793505

8.230009

5.058659

5.128629

5.185067

5.115793

4.613815

5.431426

7.349479

5.296585

5.618212

7.278157

5.996169

6.221564

5.667662

5.404874

5.609767

5.995129

7.081914

6.178763

2303.12028

Junchen Rong

Scalar CFTs from structural phase transitions

35 pages, 16 figures

null

hep-th cond-mat.stat-mech

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

We discuss scalar conformal field theories (CFTs) that can be realized in structural phase transitions. The Landau condition and Lifshitz condition are reviewed, which are necessary conditions for a structural phase transition to be second order. We also review the perturbative analysis in $4-\epsilon$ expansion of the corresponding Landau actions, which were already analyzed thoroughly in the 80s. By identifying the global symmetries of these fixed points, it turns out that in perturbation theory only 6 different CFTs can be realized by commensurate structural phase transitions. This is a lecture note based on a series of talks given by the author. The goal of the lecture note is to bridge the gap between condensed matter physicists and conformal field theorists. The note will be further updated in the future.

[ { "created": "Tue, 21 Mar 2023 17:12:42 GMT", "version": "v1" } ]

2023-03-22

[ [ "Rong", "Junchen", "" ] ]

We discuss scalar conformal field theories (CFTs) that can be realized in structural phase transitions. The Landau condition and Lifshitz condition are reviewed, which are necessary conditions for a structural phase transition to be second order. We also review the perturbative analysis in $4-\epsilon$ expansion of the corresponding Landau actions, which were already analyzed thoroughly in the 80s. By identifying the global symmetries of these fixed points, it turns out that in perturbation theory only 6 different CFTs can be realized by commensurate structural phase transitions. This is a lecture note based on a series of talks given by the author. The goal of the lecture note is to bridge the gap between condensed matter physicists and conformal field theorists. The note will be further updated in the future.

9.034347

8.969107

9.853219

8.270041

10.063691

10.115581

8.990899

9.054273

8.513725

9.918604

8.255529

8.654824

9.52276

8.772446

8.687099

8.942267

8.849196

8.817434

8.839291

8.791099

8.547872

1103.4179

Yeuan-Ming Sheu

H. M. Fried (Brown), T. Grandou (INLN), Y.-M. Sheu (INLN)

A Non-Perturbative Gauge-Invariant QCD: Ideal vs. Realistic QCD

21 pages, 3 figures, the third piece of a series (Eur. Phys. J. C65, 395 (2010) and arXiv:1003.2936[hep-th]). Additional proof has been added along with 2 appendices for more details in the main text

null

hep-th hep-ph

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

A basic distinction, long overlooked, between the conventional, "idealistic" formulation of QCD, and a more "realistic" formulation is brought into focus by a rigorous, non-perturbative, gauge-invariant evaluation of the Schwinger solution for the QCD generating functional in terms of exact Fradkin representations for the Green's functional $\mathbf{G}_{c}(x,y|A)$ and the vacuum functional $\mathbf{L}[A]$. The quanta of all (Abelian) quantized fields may be expected to obey standard quantum-mechanical measurement properties, perfect position dependence at the cost of unknown momenta, and vice-versa, but this is impossible for quarks since they always appear asymptotically in bound states, and their transverse position or momenta can never, in principle, be exactly measured. Violation of this principle produces an absurdity in the exact evaluation of each and every QCD amplitude. We here suggest a phenomenological change in the basic QCD Lagrangian, such that a limitation of transverse precision is automatically contained in the now "realistic" theory, with the function essential to quark binding into hadrons appearing in the new Lagrangian. All absurdities in estimates of all "realistic" QCD amplitudes are then removed, and one obtains the possibility of hadron formation by appropriate quark binding potentials, and nucleon scattering and binding by effective, Yukawa-type potentials; the first of these potentials are constructed, in detail, in the following paper.

[ { "created": "Tue, 22 Mar 2011 00:34:04 GMT", "version": "v1" }, { "created": "Mon, 6 Jun 2011 02:53:53 GMT", "version": "v2" } ]

2011-06-07

[ [ "Fried", "H. M.", "", "Brown" ], [ "Grandou", "T.", "", "INLN" ], [ "Sheu", "Y. -M.", "", "INLN" ] ]

A basic distinction, long overlooked, between the conventional, "idealistic" formulation of QCD, and a more "realistic" formulation is brought into focus by a rigorous, non-perturbative, gauge-invariant evaluation of the Schwinger solution for the QCD generating functional in terms of exact Fradkin representations for the Green's functional $\mathbf{G}_{c}(x,y|A)$ and the vacuum functional $\mathbf{L}[A]$. The quanta of all (Abelian) quantized fields may be expected to obey standard quantum-mechanical measurement properties, perfect position dependence at the cost of unknown momenta, and vice-versa, but this is impossible for quarks since they always appear asymptotically in bound states, and their transverse position or momenta can never, in principle, be exactly measured. Violation of this principle produces an absurdity in the exact evaluation of each and every QCD amplitude. We here suggest a phenomenological change in the basic QCD Lagrangian, such that a limitation of transverse precision is automatically contained in the now "realistic" theory, with the function essential to quark binding into hadrons appearing in the new Lagrangian. All absurdities in estimates of all "realistic" QCD amplitudes are then removed, and one obtains the possibility of hadron formation by appropriate quark binding potentials, and nucleon scattering and binding by effective, Yukawa-type potentials; the first of these potentials are constructed, in detail, in the following paper.

14.412874

16.235701

15.092036

13.896926

14.99796

14.835999

15.506198

15.124288

14.566683

15.157918

14.798495

14.58962

14.592994

14.058459

14.44007

14.390594

14.360751

13.829376

14.426681

14.074828

14.35115

2009.05787

Katarzyna Ole\'s

C. Adam, C. Naya, K. Oles, T. Romanczukiewicz, J. Sanchez-Guillen, and A. Wereszczynski

Incompressible topological solitons

reference added

Phys. Rev. D 102, 105007 (2020)

10.1103/PhysRevD.102.105007

null

hep-th math-ph math.MP

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

We discover a new class of topological solitons. These solitons can exist in a space of infinite volume like, e.g., $\mathbb{R}^n$, but they cannot be placed in any finite volume, because the resulting formal solutions have infinite energy. These objects are, therefore, interpreted as totally incompressible solitons. As a first, particular example we consider (1+1) dimensional kinks in theories with a nonstandard kinetic term or, equivalently, in models with the so-called runaway (or vacummless) potentials. But incompressible solitons exist also in higher dimensions. As specific examples in (3+1) dimensions we study Skyrmions in the dielectric extensions both of the minimal and the BPS Skyrme models. In the the latter case, the skyrmionic matter describes a completely incompressible topological perfect fluid.

[ { "created": "Sat, 12 Sep 2020 13:21:16 GMT", "version": "v1" }, { "created": "Sun, 20 Sep 2020 19:00:00 GMT", "version": "v2" } ]

2020-11-18

[ [ "Adam", "C.", "" ], [ "Naya", "C.", "" ], [ "Oles", "K.", "" ], [ "Romanczukiewicz", "T.", "" ], [ "Sanchez-Guillen", "J.", "" ], [ "Wereszczynski", "A.", "" ] ]

We discover a new class of topological solitons. These solitons can exist in a space of infinite volume like, e.g., $\mathbb{R}^n$, but they cannot be placed in any finite volume, because the resulting formal solutions have infinite energy. These objects are, therefore, interpreted as totally incompressible solitons. As a first, particular example we consider (1+1) dimensional kinks in theories with a nonstandard kinetic term or, equivalently, in models with the so-called runaway (or vacummless) potentials. But incompressible solitons exist also in higher dimensions. As specific examples in (3+1) dimensions we study Skyrmions in the dielectric extensions both of the minimal and the BPS Skyrme models. In the the latter case, the skyrmionic matter describes a completely incompressible topological perfect fluid.

10.274824

10.020432

10.755738

9.869062

9.7152

9.295678

10.966987

9.682519

9.91181

11.580122

9.814828

9.905303

10.078205

9.927954

10.016897

10.337628

9.870253

10.254454

10.036995

9.824616

10.097449

hep-th/0410217

Cecilia Albertsson

Cecilia Albertsson, Ulf Lindstrom and Maxim Zabzine

T-duality for the sigma model with boundaries

48 pages, LaTeX, v2: typos corrected, references added

JHEP0412:056,2004

10.1088/1126-6708/2004/12/056

ITP-UH-24/04, UUITP-24/04, HIP-2004-54/TH

hep-th

null

We derive the most general local boundary conditions necessary for T-duality to be compatible with superconformal invariance of the two-dimensional N=1 supersymmetric nonlinear sigma model with boundaries. To this end, we construct a consistent gauge invariant parent action by gauging a U(1) isometry, with and without boundary interactions. We investigate the behaviour of the boundary conditions under T-duality, and interpret the results in terms of D-branes.

[ { "created": "Thu, 21 Oct 2004 07:51:18 GMT", "version": "v1" }, { "created": "Wed, 19 Jan 2005 16:43:32 GMT", "version": "v2" } ]

2008-11-26

[ [ "Albertsson", "Cecilia", "" ], [ "Lindstrom", "Ulf", "" ], [ "Zabzine", "Maxim", "" ] ]

We derive the most general local boundary conditions necessary for T-duality to be compatible with superconformal invariance of the two-dimensional N=1 supersymmetric nonlinear sigma model with boundaries. To this end, we construct a consistent gauge invariant parent action by gauging a U(1) isometry, with and without boundary interactions. We investigate the behaviour of the boundary conditions under T-duality, and interpret the results in terms of D-branes.

7.467427

7.098839

8.332824

7.118101

8.323511

7.466398

8.084296

6.588814

7.051356

9.313745

6.983994

6.950502

7.905493

7.264962

7.078611

6.964316

6.942893

7.056443

6.966167

7.40142

7.033765

hep-th/0407080

Chryssomalis Chryssomalakos

C. Chryssomalakos and E. Okon

Linear Form of 3-scale Relativity Algebra and the Relevance of Stability

5 pages

Int.J.Mod.Phys. D13 (2004) 1817-1822

10.1142/S0218271804005225

null

hep-th

null

We show that the algebra of the recently proposed Triply Special Relativity can be brought to a linear (ie, Lie) form by a correct identification of its generators. The resulting Lie algebra is the stable form proposed by Vilela Mendes a decade ago, itself a reapparition of Yang's algebra, dating from 1947. As a corollary we assure that, within the Lie algebra framework, there is no Quadruply Special Relativity.

[ { "created": "Sun, 11 Jul 2004 07:35:31 GMT", "version": "v1" } ]

2009-11-10

[ [ "Chryssomalakos", "C.", "" ], [ "Okon", "E.", "" ] ]

We show that the algebra of the recently proposed Triply Special Relativity can be brought to a linear (ie, Lie) form by a correct identification of its generators. The resulting Lie algebra is the stable form proposed by Vilela Mendes a decade ago, itself a reapparition of Yang's algebra, dating from 1947. As a corollary we assure that, within the Lie algebra framework, there is no Quadruply Special Relativity.

15.24025

16.071077

15.52133

13.872413

15.801075

14.91007

14.315544

15.064516

13.831484

17.039291

13.371337

13.823025

14.402042

13.623154

13.385742

13.422469

13.116777

13.780273

13.914368

13.322984

14.266239

2307.00554

Olivera Miskovic

Olivera Miskovic, Rodrigo Olea, Eleftherios Papantonopoulos, Yoel Parra-Cisterna

Asymptotic Black Holes and Conformal Mass in AdS Quadratic Curvature Gravity

38 pages, no figures; in v2, one reference added

null

hep-th gr-qc

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

We explore the consistent truncation of conserved charges in Quadratic Curvature Gravity (QCG) with anti-de Sitter asymptotics to the linear order in the Weyl tensor. The QCG action is given by the most general curvature-squared corrections to Einstein gravity, and it is suitably rendered finite by the addition of extrinsic counterterms (Kounterterms). The conserved charges derived from this action are, as a consequence, nonlinear in the spacetime Riemann tensor. A detailed analysis of the falloff of generic static solutions leads to a charge proportional to the electric part of the Weyl tensor, without loss of information on the energy of the system. The procedure followed provides firmer ground to the extension of the notion of Conformal Mass to higher-curvature gravity, as it appears as associated to a renormalized action. We observe that criticality condition in QCG poses an obstruction to the charge linearization, in contrast to previous results in Lovelock gravity, where degeneracy condition plays a key role.

[ { "created": "Sun, 2 Jul 2023 12:33:40 GMT", "version": "v1" }, { "created": "Mon, 28 Aug 2023 12:58:52 GMT", "version": "v2" } ]

2023-08-29

[ [ "Miskovic", "Olivera", "" ], [ "Olea", "Rodrigo", "" ], [ "Papantonopoulos", "Eleftherios", "" ], [ "Parra-Cisterna", "Yoel", "" ] ]

We explore the consistent truncation of conserved charges in Quadratic Curvature Gravity (QCG) with anti-de Sitter asymptotics to the linear order in the Weyl tensor. The QCG action is given by the most general curvature-squared corrections to Einstein gravity, and it is suitably rendered finite by the addition of extrinsic counterterms (Kounterterms). The conserved charges derived from this action are, as a consequence, nonlinear in the spacetime Riemann tensor. A detailed analysis of the falloff of generic static solutions leads to a charge proportional to the electric part of the Weyl tensor, without loss of information on the energy of the system. The procedure followed provides firmer ground to the extension of the notion of Conformal Mass to higher-curvature gravity, as it appears as associated to a renormalized action. We observe that criticality condition in QCG poses an obstruction to the charge linearization, in contrast to previous results in Lovelock gravity, where degeneracy condition plays a key role.

12.139119

11.405731

11.8811

11.023409

11.279794

11.532957

10.973589

10.752326

11.301517

13.376896

11.049058

11.509318

11.398288

11.499365

11.431581

11.114253

11.540469

11.314092

11.732512

11.883205

11.475835

1510.03954

Dmitri Vassilevich

Can Spectral Action be a Window to Very High Energies?

A talk at "Integrable systems and quantum symmetries", Prague, 2015. To be published in the Proceedings

null

10.1088/1742-6596/670/1/012050

null

hep-th

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

The principles of noncommutative geometry impose severe restrictions on the structure of (almost) commutative field theories. The Standard Model fits surprisingly well into the noncommutative framework. Here we overview some universal predictions of the spectral action principle for the behavior of bosonic theories at very high energies.

[ { "created": "Wed, 14 Oct 2015 03:17:36 GMT", "version": "v1" } ]

2016-02-17

[ [ "Vassilevich", "Dmitri", "" ] ]

The principles of noncommutative geometry impose severe restrictions on the structure of (almost) commutative field theories. The Standard Model fits surprisingly well into the noncommutative framework. Here we overview some universal predictions of the spectral action principle for the behavior of bosonic theories at very high energies.

12.00855

9.513688

10.780639

9.796845

10.805335

11.821769

11.742475

10.129176

10.673436

12.913211

10.401744

11.138202

12.355912

11.49129

10.828207

11.271477

11.336673

10.955416

11.598144

11.664986

11.270958

1807.01578

Timothy Andersen

Timothy D. Andersen

Quantization of Fields by Averaging Classical Evolution Equations

20 pages, 4 feynman diagrams, accepted for publication in Physical Review D

Phys. Rev. D 99, 016012 (2019)

10.1103/PhysRevD.99.016012

null

hep-th

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

This paper extends the formalism for quantizing field theories via a microcanonical quantum field theory and Hamilton's principle to classical evolution equations. These are based on the well-known correspondence under a Wick rotation between quantum field theories and 4-D statistical mechanical theories. By placing quantum field theories on a 4+1-D under Wick rotation to 5-D, expectations of observables are calculated for a microcanonical field theory averaging Hamiltonian flow over a fifth spacelike dimension, a technique common in lattice gauge simulations but not in perturbation theory. In a novel demonstration, averaging pairs of external lines in the classical Feynman diagrams over the fifth dimension generates diagrams with loops and vacuum fluctuations identical to Standard Model diagrams. Because it is microcanonical, this approach, while equivalent for standard quantum fields theories in the Standard Model, is able to quantize theories that have no canonical quantization. It is also unique in representing expectations as averages over solutions to an ordinary, classical PDE rather than a path integral or operator based approaches. Hence, this approach draws a clear connection between quantum field theory and classical field theory in higher dimensions which has implications towards how quantum effects are interpreted. In particular, it raises questions about how violations of the ergodic hypothesis could influence quantum measurements even in standard, non-statistical quantum field theory.

[ { "created": "Tue, 3 Jul 2018 16:04:39 GMT", "version": "v1" }, { "created": "Tue, 1 Jan 2019 15:50:09 GMT", "version": "v2" } ]

2019-01-23

[ [ "Andersen", "Timothy D.", "" ] ]

This paper extends the formalism for quantizing field theories via a microcanonical quantum field theory and Hamilton's principle to classical evolution equations. These are based on the well-known correspondence under a Wick rotation between quantum field theories and 4-D statistical mechanical theories. By placing quantum field theories on a 4+1-D under Wick rotation to 5-D, expectations of observables are calculated for a microcanonical field theory averaging Hamiltonian flow over a fifth spacelike dimension, a technique common in lattice gauge simulations but not in perturbation theory. In a novel demonstration, averaging pairs of external lines in the classical Feynman diagrams over the fifth dimension generates diagrams with loops and vacuum fluctuations identical to Standard Model diagrams. Because it is microcanonical, this approach, while equivalent for standard quantum fields theories in the Standard Model, is able to quantize theories that have no canonical quantization. It is also unique in representing expectations as averages over solutions to an ordinary, classical PDE rather than a path integral or operator based approaches. Hence, this approach draws a clear connection between quantum field theory and classical field theory in higher dimensions which has implications towards how quantum effects are interpreted. In particular, it raises questions about how violations of the ergodic hypothesis could influence quantum measurements even in standard, non-statistical quantum field theory.

19.201414

20.800266

20.609337

20.36503

20.912203

22.567383

21.166403

21.249027

20.74913

22.357109

19.430836

19.296459

18.73546

18.752451

19.072676

18.909193

18.958008

18.458786

18.759642

19.068394

18.443512

hep-th/0507260

Peter Shepard

Peter G. Shepard (UC Berkeley)

Black Hole Statistics from Holography

21 pages, 4 figures; References added

JHEP 0510 (2005) 072

10.1088/1126-6708/2005/10/072

null

hep-th

null

We study the microstates of the ``small'' black hole in the $\half$-BPS sector of AdS$_5\times S^5$, the superstar of Myers and Tafjord, using the powerful holographic description provided by LLM. The system demonstrates the inherently statistical nature of black holes, with the geometry of Myer and Tafjord emerging only after averaging over an ensemble of geometries. The individual microstate geometries differ in the highly non-trivial topology of a quantum foam at their core, and the entropy can be understood as a partition of $N$ units of flux among 5-cycles, as required by flux quantization. While the system offers confirmation of the most controversial aspect of Mathur and Lunin's recent ``fuzzball'' proposal, we see signs of a discrepancy in interpreting its details.

[ { "created": "Wed, 27 Jul 2005 19:40:39 GMT", "version": "v1" }, { "created": "Wed, 3 Aug 2005 19:30:30 GMT", "version": "v2" } ]

2009-11-11

[ [ "Shepard", "Peter G.", "", "UC Berkeley" ] ]

We study the microstates of the ``small'' black hole in the $\half$-BPS sector of AdS$_5\times S^5$, the superstar of Myers and Tafjord, using the powerful holographic description provided by LLM. The system demonstrates the inherently statistical nature of black holes, with the geometry of Myer and Tafjord emerging only after averaging over an ensemble of geometries. The individual microstate geometries differ in the highly non-trivial topology of a quantum foam at their core, and the entropy can be understood as a partition of $N$ units of flux among 5-cycles, as required by flux quantization. While the system offers confirmation of the most controversial aspect of Mathur and Lunin's recent ``fuzzball'' proposal, we see signs of a discrepancy in interpreting its details.

14.796124

14.295677

17.857901

14.288715

14.548658

12.985239

14.274885

14.642521

14.097645

19.49966

14.471107

14.179862

16.251028

14.339117

14.521349

13.784334

13.782094

14.216628

14.168214

15.353498

13.886148

0712.1116

Liuba Mazzanti

Topics in noncommutative integrable theories and holographic brane-world cosmology

Ph.D. Thesis, 256 pages, 6 figures, references added

null

hep-th

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

This thesis follows two main lines of research, both related to relevant aspects of string theory and its phenomenological/cosmological applications. We study two different generalizations of the integrable SG model to NC geometry, after discussing general properties and issues of integrable theories and NC field theories, mentioning their role in string theory. The question is whether we can obtain an integrable NC SG with factorized S matrix. Of the two models we study, the second NC SG -- derived by dimensional reduction from the stringy NC self-dual YM in (2+2) dimensions -- exhibits the good properties of S matrix required by integrability in 2D, while the first one does not. As a second topic, a particular brane-world model is analyzed both from the cosmological point of view and in the spirit of holography, after introducing conventional cosmology, brane-worlds and AdS/CFT. The 7D RS set-up with brane-bulk energy exchange we propose leads to a non conventional cosmological evolution where all fixed points have positive acceleration and are found to be stable for a wide range of choices for the parameters. We construct the holographic dual theory, represented by a renormalized 6D CFT coupled to 6D gravity. The matching of parameters on the two sides of the duality is then achieved in specific approximations.

[ { "created": "Fri, 7 Dec 2007 11:27:00 GMT", "version": "v1" }, { "created": "Wed, 6 Aug 2008 17:51:12 GMT", "version": "v2" } ]

2008-08-06

[ [ "Mazzanti", "Liuba", "" ] ]

This thesis follows two main lines of research, both related to relevant aspects of string theory and its phenomenological/cosmological applications. We study two different generalizations of the integrable SG model to NC geometry, after discussing general properties and issues of integrable theories and NC field theories, mentioning their role in string theory. The question is whether we can obtain an integrable NC SG with factorized S matrix. Of the two models we study, the second NC SG -- derived by dimensional reduction from the stringy NC self-dual YM in (2+2) dimensions -- exhibits the good properties of S matrix required by integrability in 2D, while the first one does not. As a second topic, a particular brane-world model is analyzed both from the cosmological point of view and in the spirit of holography, after introducing conventional cosmology, brane-worlds and AdS/CFT. The 7D RS set-up with brane-bulk energy exchange we propose leads to a non conventional cosmological evolution where all fixed points have positive acceleration and are found to be stable for a wide range of choices for the parameters. We construct the holographic dual theory, represented by a renormalized 6D CFT coupled to 6D gravity. The matching of parameters on the two sides of the duality is then achieved in specific approximations.

11.474741

12.083912

12.462061

11.306558

11.671007

11.849385

11.945336

11.528337

11.849996

12.477631

11.269897

11.381063

11.634735

11.413456

11.570858

11.434295

11.252891

11.297394

11.328908

11.778897

11.364016

hep-th/0008225

Francesco Fucito

Ugo Bruzzo, Francesco Fucito, Alessandro Tanzini and Gabriele Travaglini

On the Multi-Instanton Measure for Super Yang--Mills Theories

28 pages, latex file

Nucl.Phys. B611 (2001) 205-226

10.1016/S0550-3213(01)00349-2

ROM2F/2000/25, SISSA 74/2000/fm

hep-th

null

In this paper we revisit the arguments that have led to the proposal of a multi-instanton measure for supersymmetric Yang-Mills theories. We then recall how the moduli space of gauge connections on $\real^4$ can be built from a hyperk\"ahler quotient construction which we generalize to supermanifolds. The measure we are looking for is given by the supermetric of the supermoduli space thus introduced. To elucidate the construction we carry out explicit computations in the case of N=2 supersymmetric Yang-Mills theories.

[ { "created": "Tue, 29 Aug 2000 16:12:41 GMT", "version": "v1" } ]

2009-10-31

[ [ "Bruzzo", "Ugo", "" ], [ "Fucito", "Francesco", "" ], [ "Tanzini", "Alessandro", "" ], [ "Travaglini", "Gabriele", "" ] ]

In this paper we revisit the arguments that have led to the proposal of a multi-instanton measure for supersymmetric Yang-Mills theories. We then recall how the moduli space of gauge connections on $\real^4$ can be built from a hyperk\"ahler quotient construction which we generalize to supermanifolds. The measure we are looking for is given by the supermetric of the supermoduli space thus introduced. To elucidate the construction we carry out explicit computations in the case of N=2 supersymmetric Yang-Mills theories.

8.732778

7.990814

9.408516

7.437701

7.756153

8.865102

8.318037

8.008708

7.779383

10.317663

7.734747

7.733347

8.291422

7.845414

7.811067

7.904227

7.827067

7.95509

7.90342

8.153596

7.715322

1103.1169

Jonathan L. Bougie

Jonathan Bougie, Asim Gangopadhyaya, and Jeffry V. Mallow

Method for Generating Additive Shape Invariant Potentials from an Euler Equation

1 figure, 4 tables, 18 pages

J. Phys. A: Math. Theor. 44 (2011) 275307

10.1088/1751-8113/44/27/275307

null

hep-th quant-ph

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

In the supersymmetric quantum mechanics formalism, the shape invariance condition provides a sufficient constraint to make a quantum mechanical problem solvable; i.e., we can determine its eigenvalues and eigenfunctions algebraically. Since shape invariance relates superpotentials and their derivatives at two different values of the parameter $a$, it is a non-local condition in the coordinate-parameter $(x, a)$ space. We transform the shape invariance condition for additive shape invariant superpotentials into two local partial differential equations. One of these equations is equivalent to the one-dimensional Euler equation expressing momentum conservation for inviscid fluid flow. The second equation provides the constraint that helps us determine unique solutions. We solve these equations to generate the set of all known $\hbar$-independent shape invariant superpotentials and show that there are no others. We then develop an algorithm for generating additive shape invariant superpotentials including those that depend on $\hbar$ explicitly, and derive a new $\hbar$-dependent superpotential by expanding a Scarf superpotential.

[ { "created": "Sun, 6 Mar 2011 22:29:52 GMT", "version": "v1" } ]

2011-11-10

[ [ "Bougie", "Jonathan", "" ], [ "Gangopadhyaya", "Asim", "" ], [ "Mallow", "Jeffry V.", "" ] ]

In the supersymmetric quantum mechanics formalism, the shape invariance condition provides a sufficient constraint to make a quantum mechanical problem solvable; i.e., we can determine its eigenvalues and eigenfunctions algebraically. Since shape invariance relates superpotentials and their derivatives at two different values of the parameter $a$, it is a non-local condition in the coordinate-parameter $(x, a)$ space. We transform the shape invariance condition for additive shape invariant superpotentials into two local partial differential equations. One of these equations is equivalent to the one-dimensional Euler equation expressing momentum conservation for inviscid fluid flow. The second equation provides the constraint that helps us determine unique solutions. We solve these equations to generate the set of all known $\hbar$-independent shape invariant superpotentials and show that there are no others. We then develop an algorithm for generating additive shape invariant superpotentials including those that depend on $\hbar$ explicitly, and derive a new $\hbar$-dependent superpotential by expanding a Scarf superpotential.

8.24652

7.83407

10.12517

8.09438

9.721172

8.362866

8.236141

8.402488

7.846845

10.493224

7.830121

8.288554

8.97382

7.992706

8.447266

8.07291

8.089643

7.929988

8.376673

8.572722

7.893718

hep-th/0604004

Leonid Lantsman

Dirac fundamental quantization of gauge theories is natural way of reference frames in modern physics

v5; the specific approach to the mass gab problem in the Minkowskian BPS monopole model quantized by Dirac was pointed (see p.37 of the present issue); some references are added

Fizika B18:99-140,2009

null

hep-th

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

We analyse two principal approaches to the quantization of physical models worked out to date. There are the Faddeev-Popov "heuristic" approach, based on fixing a gauge in the FP path integrals formalism, and the "fundamental" approach by Dirac based on the constraint-shell reduction of Hamiltonians with deleting unphysical variables. The relativistic invariant FP "heuristic" approach deals with the enough small class of problems associated with S-matrices squared taking on-shell of quantum fields. On the other hand, the "fundamental" quantization approach by Dirac involves the manifest relativistic covariance of quantum fields survived the constraint-shell reduction of Hamiltonians. This allows to apply this approach for the more broad class of problems than studying S-matrices. Researches about various bound states in QED and QCD are patterns of such applications. In the present study, with the example of the Dirac "fundamental" quantization of the Minkowskian non-Abelian Higgs model (us studied in its historical retrospective), we make sure in obvious advantages of this quantization approach. The arguments in favour of the Dirac fundamental quantization of physical model as a way of Einstein and Galilei relativity in modern physic will be presented.

[ { "created": "Sun, 2 Apr 2006 10:12:06 GMT", "version": "v1" }, { "created": "Wed, 5 Apr 2006 13:57:36 GMT", "version": "v2" }, { "created": "Tue, 16 May 2006 14:07:01 GMT", "version": "v3" }, { "created": "Sun, 19 Nov 2006 11:55:11 GMT", "version": "v4" }, { "created": "Fri, 26 Jun 2009 16:56:56 GMT", "version": "v5" } ]

2014-11-18

[ [ "Lantsman", "Leonid", "" ] ]

We analyse two principal approaches to the quantization of physical models worked out to date. There are the Faddeev-Popov "heuristic" approach, based on fixing a gauge in the FP path integrals formalism, and the "fundamental" approach by Dirac based on the constraint-shell reduction of Hamiltonians with deleting unphysical variables. The relativistic invariant FP "heuristic" approach deals with the enough small class of problems associated with S-matrices squared taking on-shell of quantum fields. On the other hand, the "fundamental" quantization approach by Dirac involves the manifest relativistic covariance of quantum fields survived the constraint-shell reduction of Hamiltonians. This allows to apply this approach for the more broad class of problems than studying S-matrices. Researches about various bound states in QED and QCD are patterns of such applications. In the present study, with the example of the Dirac "fundamental" quantization of the Minkowskian non-Abelian Higgs model (us studied in its historical retrospective), we make sure in obvious advantages of this quantization approach. The arguments in favour of the Dirac fundamental quantization of physical model as a way of Einstein and Galilei relativity in modern physic will be presented.

16.191196

18.433701

17.146614

16.682854

18.326338

18.356775

17.403227

16.409424

16.972137

19.420544

16.711296

16.454588

16.72366

16.153831

16.627348

16.288574

16.213911

16.20882

16.375946

16.82044

16.364744

1905.03780

Jordan Cotler

Jordan Cotler, Kristan Jensen, Alexander Maloney

Low-dimensional de Sitter quantum gravity

106 pages, 13 figures; v2: published version, subsection on complex metrics added

null

10.1007/JHEP06(2020)048

null

hep-th gr-qc

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

We study aspects of Jackiw-Teitelboim (JT) quantum gravity in two-dimensional nearly de Sitter (dS) spacetime, as well as pure de Sitter quantum gravity in three dimensions. These are each theories of boundary modes, which include a reparameterization field on each connected component of the boundary as well as topological degrees of freedom. In two dimensions, the boundary theory is closely related to the Schwarzian path integral, and in three dimensions to the quantization of coadjoint orbits of the Virasoro group. Using these boundary theories we compute loop corrections to the wavefunction of the universe, and investigate gravitational contributions to scattering. Along the way, we show that JT gravity in dS$_2$ is an analytic continuation of JT gravity in Euclidean AdS$_2$, and that pure gravity in dS$_3$ is a continuation of pure gravity in Euclidean AdS$_3$. We define a genus expansion for de Sitter JT gravity by summing over higher genus generalizations of surfaces used in the Hartle-Hawking construction. Assuming a conjecture regarding the volumes of moduli spaces of such surfaces, we find that the de Sitter genus expansion is the continuation of the recently discovered AdS genus expansion. Then both may be understood as coming from the genus expansion of the same double-scaled matrix model, which would provide a non-perturbative completion of de Sitter JT gravity.

[ { "created": "Thu, 9 May 2019 17:59:57 GMT", "version": "v1" }, { "created": "Fri, 19 Jun 2020 16:55:19 GMT", "version": "v2" } ]

2020-07-15

[ [ "Cotler", "Jordan", "" ], [ "Jensen", "Kristan", "" ], [ "Maloney", "Alexander", "" ] ]

We study aspects of Jackiw-Teitelboim (JT) quantum gravity in two-dimensional nearly de Sitter (dS) spacetime, as well as pure de Sitter quantum gravity in three dimensions. These are each theories of boundary modes, which include a reparameterization field on each connected component of the boundary as well as topological degrees of freedom. In two dimensions, the boundary theory is closely related to the Schwarzian path integral, and in three dimensions to the quantization of coadjoint orbits of the Virasoro group. Using these boundary theories we compute loop corrections to the wavefunction of the universe, and investigate gravitational contributions to scattering. Along the way, we show that JT gravity in dS$_2$ is an analytic continuation of JT gravity in Euclidean AdS$_2$, and that pure gravity in dS$_3$ is a continuation of pure gravity in Euclidean AdS$_3$. We define a genus expansion for de Sitter JT gravity by summing over higher genus generalizations of surfaces used in the Hartle-Hawking construction. Assuming a conjecture regarding the volumes of moduli spaces of such surfaces, we find that the de Sitter genus expansion is the continuation of the recently discovered AdS genus expansion. Then both may be understood as coming from the genus expansion of the same double-scaled matrix model, which would provide a non-perturbative completion of de Sitter JT gravity.

6.398051

5.948775

7.144681

5.83854

6.14471

6.128041

6.117426

5.853092

5.934156

7.369576

6.083746

6.389565

6.415564

6.299951

6.352131

6.102044

6.277166

6.130083

6.196728

6.482428

6.01699

2203.15744

Richard Szabo

Richard J. Szabo

The $L_{\infty}$-structure of noncommutative gravity

22 pages; v2: typos corrected; Contribution to the Proceedings of the Humboldt Kolleg on "Quantum Gravity and Fundamental Interactions", Corfu Summer Institute on Elementary Particle Physics and Gravity, 29 August-9 October 2021, Corfu, Greece

null

EMPG-22-06

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

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

We summarise recent perspectives on symmetries of noncommutative field theories based on homotopy algebras. We show how these viewpoints naturally lead to a new class of noncommutative field theories which possess braided gauge symmetries, and explain in detail their uses in gravity. We review how these considerations lead to a new theory of noncommutative gravity in four dimensions within the Einstein-Cartan-Palatini formalism.

[ { "created": "Tue, 29 Mar 2022 16:52:43 GMT", "version": "v1" }, { "created": "Thu, 31 Mar 2022 09:12:32 GMT", "version": "v2" } ]

2022-04-01

[ [ "Szabo", "Richard J.", "" ] ]

We summarise recent perspectives on symmetries of noncommutative field theories based on homotopy algebras. We show how these viewpoints naturally lead to a new class of noncommutative field theories which possess braided gauge symmetries, and explain in detail their uses in gravity. We review how these considerations lead to a new theory of noncommutative gravity in four dimensions within the Einstein-Cartan-Palatini formalism.

9.684092

8.102623

8.542778

7.939998

7.971525

7.654997

7.885411

8.010994

7.546568

9.27299

7.423045

8.258152

8.269102

8.10743

7.876135

8.181173

8.087105

8.008718

7.814854

8.086258

7.649203

1412.7541

Balt van Rees

Christopher Beem, Madalena Lemos, Pedro Liendo, Leonardo Rastelli, Balt C. van Rees

The ${\mathcal N}=2$ superconformal bootstrap

92 pages (64 pages + 5 appendices), 27 figures; v2: minor improvements, results unchanged

JHEP 1603 (2016) 183

10.1007/JHEP03(2016)183

YITP-SB-14-54, CERN-PH-TH-2014-269, HU-EP-14/61

hep-th

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

In this work we initiate the conformal bootstrap program for ${\mathcal N}=2$ superconformal field theories in four dimensions. We promote an abstract operator-algebraic viewpoint in order to unify the description of Lagrangian and non-Lagrangian theories, and formulate various conjectures concerning the landscape of theories. We analyze in detail the four-point functions of flavor symmetry current multiplets and of ${\mathcal N}=2$ chiral operators. For both correlation functions we review the solution of the superconformal Ward identities and describe their superconformal block decompositions. This provides the foundation for an extensive numerical analysis discussed in the second half of the paper. We find a large number of constraints for operator dimensions, OPE coefficients, and central charges that must hold for any ${\mathcal N}=2$ superconformal field theory.

[ { "created": "Tue, 23 Dec 2014 21:00:06 GMT", "version": "v1" }, { "created": "Thu, 3 Dec 2015 17:36:54 GMT", "version": "v2" } ]

2019-03-25

[ [ "Beem", "Christopher", "" ], [ "Lemos", "Madalena", "" ], [ "Liendo", "Pedro", "" ], [ "Rastelli", "Leonardo", "" ], [ "van Rees", "Balt C.", "" ] ]

In this work we initiate the conformal bootstrap program for ${\mathcal N}=2$ superconformal field theories in four dimensions. We promote an abstract operator-algebraic viewpoint in order to unify the description of Lagrangian and non-Lagrangian theories, and formulate various conjectures concerning the landscape of theories. We analyze in detail the four-point functions of flavor symmetry current multiplets and of ${\mathcal N}=2$ chiral operators. For both correlation functions we review the solution of the superconformal Ward identities and describe their superconformal block decompositions. This provides the foundation for an extensive numerical analysis discussed in the second half of the paper. We find a large number of constraints for operator dimensions, OPE coefficients, and central charges that must hold for any ${\mathcal N}=2$ superconformal field theory.

5.151763

5.468086

6.059782

5.177271

5.461109

5.186201

5.456997

5.169722

5.370921

6.064829

5.284861

5.244111

5.39028

5.081357

5.224144

5.153711

5.256263

5.032208

5.152215

5.422901

5.161449

hep-th/9301117

John Gracey

J.A. Gracey

Analysis of Abelian Gauge Theory with Four Fermi Interaction at $O(1/N^2)$ in Arbitrary Dimensions

latex, 13 pages, 4 figures available on request from the author, LTH-297

J.Phys. A26 (1993) 1431-1440

10.1088/0305-4470/26/6/024

null

hep-th

null

An arbitrary dimensional expression is given for the anomalous dimension of the fermion field in a model with a four point interaction and a $U(1)$ gauge field, at $O(1/N^2)$ within a large flavour expansion in the Landau gauge.

[ { "created": "Thu, 28 Jan 1993 08:58:00 GMT", "version": "v1" } ]

2009-10-22

[ [ "Gracey", "J. A.", "" ] ]

An arbitrary dimensional expression is given for the anomalous dimension of the fermion field in a model with a four point interaction and a $U(1)$ gauge field, at $O(1/N^2)$ within a large flavour expansion in the Landau gauge.

13.333385

8.970258

12.409981

10.374785

9.965947

10.573741

11.916027

9.486691

10.299129

11.87919

10.230466

10.899807

11.551659

10.551542

10.885345

10.976195

10.745105

11.009013

10.85934

11.658693

10.416382

2010.00897

Arkadii Kozhevnikov

A. A. Kozhevnikov

Shape and dynamics of nonrelativistic vortex strings in parity-breaking media

8 pages, 1 figure. Copy-paste errors in Eqs. (2.14), (3.2), and (5.4) are corrected

Phys. Rev. D 103, 025025 (2021)

10.1103/PhysRevD.103.025025

null

hep-th cond-mat.supr-con

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

The shape and dynamics of the nonrelativistic gauge vortex string in the parity-broken media is considered, upon reducing the problem to finding the extremum of the Abelian Higgs model effective action with the fixed B-type helicity of the gauge field. It is shown that in contrast with the case of the fixed A-type helicity, the static solution of the Ginzburg-Landau energy functional in the London limit is the helix with the specific relation between the curvature and torsion of the vortex line depending on the strength of the space parity violating contribution of the Lifshitz invariant. A nonlinear dynamical equation is linearized in case of small oscillations around the helical contour, and the polarization and dispersion law of the propagated waves are obtained.

[ { "created": "Fri, 2 Oct 2020 09:52:08 GMT", "version": "v1" }, { "created": "Mon, 1 Feb 2021 04:55:46 GMT", "version": "v2" }, { "created": "Mon, 24 May 2021 04:30:52 GMT", "version": "v3" } ]

2021-05-25

[ [ "Kozhevnikov", "A. A.", "" ] ]

The shape and dynamics of the nonrelativistic gauge vortex string in the parity-broken media is considered, upon reducing the problem to finding the extremum of the Abelian Higgs model effective action with the fixed B-type helicity of the gauge field. It is shown that in contrast with the case of the fixed A-type helicity, the static solution of the Ginzburg-Landau energy functional in the London limit is the helix with the specific relation between the curvature and torsion of the vortex line depending on the strength of the space parity violating contribution of the Lifshitz invariant. A nonlinear dynamical equation is linearized in case of small oscillations around the helical contour, and the polarization and dispersion law of the propagated waves are obtained.

12.981085

12.855004

13.539519

12.995605

13.671737

13.53799

13.999815

12.858342

12.849423

15.442626

12.345861

12.489857

12.410812

12.235755

12.043365

12.653635

12.671505

12.393042

12.325251

12.989543

12.297352

2108.04469

Hun Jang

Hun Jang and Massimo Porrati

Component Actions of Liberated $\mathcal{N} = 1$ Supergravity and New Fayet-Iliopoulos Terms in Superconformal Tensor Calculus

37 pages

JHEP 11 (2021) 075

10.1007/JHEP11(2021)075

null

hep-th

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

We explicitly compute the component action of certain recently discovered new $\mathcal{N} = 1$ supergravity actions which enlarge the space of scalar potentials allowed by supersymmetry and also contain fermionic interaction terms that become singular when supersymmetry is unbroken. They are the "Liberated Supergravity" introduced by Farakos, Kehagias and Riotto, and supergravities with a new Kahler-invariant Fayet-Iliopoulos term proposed by Antoniadis, Chatrabhuti, Isono, and Knoops. This paper is complementary to our previous papers [Phys. Rev. D 103 (2021), 025008 and 105006], in which new constraints on the coupling constants of those new theories were found. In this paper we spell out many details that were left out of our previous papers.

[ { "created": "Tue, 10 Aug 2021 06:29:51 GMT", "version": "v1" } ]

2021-11-23

[ [ "Jang", "Hun", "" ], [ "Porrati", "Massimo", "" ] ]

We explicitly compute the component action of certain recently discovered new $\mathcal{N} = 1$ supergravity actions which enlarge the space of scalar potentials allowed by supersymmetry and also contain fermionic interaction terms that become singular when supersymmetry is unbroken. They are the "Liberated Supergravity" introduced by Farakos, Kehagias and Riotto, and supergravities with a new Kahler-invariant Fayet-Iliopoulos term proposed by Antoniadis, Chatrabhuti, Isono, and Knoops. This paper is complementary to our previous papers [Phys. Rev. D 103 (2021), 025008 and 105006], in which new constraints on the coupling constants of those new theories were found. In this paper we spell out many details that were left out of our previous papers.

9.632096

10.818914

12.560895

10.895

11.829597

11.949122

12.882884

11.389337

10.608719

12.800021

10.694104

8.695989

9.676085

9.182265

9.366881

8.942428

9.177982

8.931273

9.252042

9.857981

9.170285

1907.03571

Bojan Nikoli\'c

B. Nikoli\'c and B. Sazdovi\'c

Advantage of the second-order formalism in double space T-dualization of type II superstring

null

Eur. Phys. J. C (2019) 79:819

10.1140/epjc/s10052-019-7338-7

null

hep-th

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

In this article we present bosonic T-dualization in double space of the type II superstring theory in pure spinor formulation. We use the action with constant background fields obtained from the general case under some physically and mathematically justified assumptions. Unlike Ref.\cite{bnbstip2}, where we used the first order theory, in this article fermionic momenta are integrated out. Full T-dualization in double space is represented as permutation of initial $x^\mu$ and T-dual coordinates $y_\mu$. Demanding that T-dual transformation law of the T-dual double coordinate ${}^\star Z^M=(y_\mu,x^\mu)$ is of the same form as for initial one $Z^M=(x^\mu,y_\mu)$, we obtain the form of the T-dual background fields in terms of the initial ones. Advantage of using the action with integrated fermionic momenta is that it gives all T-dual background fields in terms of the initial ones. In the case of the first order theory \cite{bnbstip2} T-dual R-R field strength was obtained out of double space formalism under additional assumptions.

[ { "created": "Mon, 8 Jul 2019 12:57:31 GMT", "version": "v1" }, { "created": "Mon, 7 Oct 2019 11:33:29 GMT", "version": "v2" } ]

2019-10-08

[ [ "Nikolić", "B.", "" ], [ "Sazdović", "B.", "" ] ]

In this article we present bosonic T-dualization in double space of the type II superstring theory in pure spinor formulation. We use the action with constant background fields obtained from the general case under some physically and mathematically justified assumptions. Unlike Ref.\cite{bnbstip2}, where we used the first order theory, in this article fermionic momenta are integrated out. Full T-dualization in double space is represented as permutation of initial $x^\mu$ and T-dual coordinates $y_\mu$. Demanding that T-dual transformation law of the T-dual double coordinate ${}^\star Z^M=(y_\mu,x^\mu)$ is of the same form as for initial one $Z^M=(x^\mu,y_\mu)$, we obtain the form of the T-dual background fields in terms of the initial ones. Advantage of using the action with integrated fermionic momenta is that it gives all T-dual background fields in terms of the initial ones. In the case of the first order theory \cite{bnbstip2} T-dual R-R field strength was obtained out of double space formalism under additional assumptions.

8.194521

7.713565

8.78631

7.79542

8.699582

8.351131

8.336492

7.646763

7.742721

9.29532

8.143683

7.707031

8.362849

7.931625

8.016457

7.964173

8.141627

7.944067

7.970947

8.300649

7.781941

0903.1400

Zhan-Yun Wang

Zhan-Yun Wang, Xiao-Ning Xie, Jun Feng, Yao-Xiong Wang, Yu Zeng and Kang-Jie Shi

Solution Transformations for GS String in AdS_5 x S^5 by Conserved Quantities

34 pages

null

hep-th

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

For Light-cone gauge of Green-Schwarz superstring in AdS_5 x S^5 background, we fix two bosonic variables x^{+}=\tau and y^{9}=\sigma, and then perform the partial Legendre transformation of the remaining bosonic variables. We then obtain a Lagrangian which is linear in velocity after eliminating the metric of world sheet. For such a system, one can formulate its poisson bracket and Hamiltonian. Since this system is free and without constraint, the hierarchy of infinite nonlocal conserved quantities given by Bena, Polchinski and Roiban, induce solution transformations due to Jacobi identity.

[ { "created": "Sun, 8 Mar 2009 09:22:40 GMT", "version": "v1" } ]

2009-03-10

[ [ "Wang", "Zhan-Yun", "" ], [ "Xie", "Xiao-Ning", "" ], [ "Feng", "Jun", "" ], [ "Wang", "Yao-Xiong", "" ], [ "Zeng", "Yu", "" ], [ "Shi", "Kang-Jie", "" ] ]

For Light-cone gauge of Green-Schwarz superstring in AdS_5 x S^5 background, we fix two bosonic variables x^{+}=\tau and y^{9}=\sigma, and then perform the partial Legendre transformation of the remaining bosonic variables. We then obtain a Lagrangian which is linear in velocity after eliminating the metric of world sheet. For such a system, one can formulate its poisson bracket and Hamiltonian. Since this system is free and without constraint, the hierarchy of infinite nonlocal conserved quantities given by Bena, Polchinski and Roiban, induce solution transformations due to Jacobi identity.

13.93233

14.951539

16.913477

13.563457

14.147546

15.689193

16.573923

13.74622

13.357955

18.733379

14.380677

13.137127

14.901463

13.046614

13.064511

13.347421

12.788912

13.169098

13.039745

14.894392

13.355328

1711.08403

Jose M. Carmona

J.M. Carmona, J.L. Cortes, J.J. Relancio

Spacetime from locality of interactions in deformations of special relativity: the example of $\kappa$-Poincar\'e Hopf algebra

14 pages

Phys. Rev. D 97, 064025 (2018)

10.1103/PhysRevD.97.064025

null

hep-th gr-qc

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

A new proposal for the notion of spacetime in a relativistic generalization of special relativity based on a modification of the composition law of momenta is presented. Locality of interactions is the principle which defines the spacetime structure for a system of particles. The formulation based on $\kappa$-Poincar\'e Hopf algebra is shown to be contained in this framework as a particular example.

[ { "created": "Wed, 22 Nov 2017 17:26:22 GMT", "version": "v1" } ]

2018-03-28

[ [ "Carmona", "J. M.", "" ], [ "Cortes", "J. L.", "" ], [ "Relancio", "J. J.", "" ] ]

A new proposal for the notion of spacetime in a relativistic generalization of special relativity based on a modification of the composition law of momenta is presented. Locality of interactions is the principle which defines the spacetime structure for a system of particles. The formulation based on $\kappa$-Poincar\'e Hopf algebra is shown to be contained in this framework as a particular example.

9.186063

7.005372

6.879816

6.851255

7.227818

7.400393

7.414391

6.537674

7.336571

7.356087

7.033536

7.174038

7.427786

7.277335

7.179734

7.047823

7.210356

7.101883

7.401542

7.095074

6.95181

hep-th/9508077

David Lamb

A.Z. Capri, M. Kobayashi, and D.J. Lamb

Two observers calculate the trace anomaly

RevTeX, 13 pages, some typos corrected and an appendix added, this is the version to appear in Class. and Quantum Gavity

Class.Quant.Grav. 13 (1996) 179-188

10.1088/0264-9381/13/2/006

Alberta Thy 17-95

hep-th gr-qc

null

We adapt a calculation due to Massacand and Schmid to the coordinate independent definition of time and vacuum given by Capri and Roy in order to compute the trace anomaly for a massless scalar field in a curved spacetime in 1+1 dimensions. The computation which requires only a simple regulator and normal ordering yields the well-known result $\frac{R}{24\pi}$ in a straightforward manner.

[ { "created": "Wed, 16 Aug 1995 19:48:51 GMT", "version": "v1" }, { "created": "Thu, 25 Jan 1996 16:03:56 GMT", "version": "v2" } ]

2009-10-28

[ [ "Capri", "A. Z.", "" ], [ "Kobayashi", "M.", "" ], [ "Lamb", "D. J.", "" ] ]

We adapt a calculation due to Massacand and Schmid to the coordinate independent definition of time and vacuum given by Capri and Roy in order to compute the trace anomaly for a massless scalar field in a curved spacetime in 1+1 dimensions. The computation which requires only a simple regulator and normal ordering yields the well-known result $\frac{R}{24\pi}$ in a straightforward manner.

19.880682

16.349623

20.569845

18.502626

18.423954

17.193535

21.440863

18.707312

19.869522

22.047674

18.593477

17.556139

19.341105

18.032282

17.402472

18.440786

18.074974

16.184204

18.338774

17.395279

17.590292

1710.08418

Ying-Hsuan Lin

Chi-Ming Chang, Martin Fluder, Ying-Hsuan Lin, Yifan Wang

Spheres, Charges, Instantons, and Bootstrap: A Five-Dimensional Odyssey

90 pages, 12 figures, 11 tables; v2: references added; v3: minor corrections

null

10.1007/JHEP03(2018)123

CALT-TH 2017-030, PUPT-2539

hep-th

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

We combine supersymmetric localization and the conformal bootstrap to study five-dimensional superconformal field theories. To begin, we classify the admissible counter-terms and derive a general relation between the five-sphere partition function and the conformal and flavor central charges. Along the way, we discover a new superconformal anomaly in five dimensions. We then propose a precise triple factorization formula for the five-sphere partition function, that incorporates instantons and is consistent with flavor symmetry enhancement. We numerically evaluate the central charges for the rank-one Seiberg and Morrison-Seiberg theories, and find strong evidence for their saturation of bootstrap bounds, thereby determining the spectra of long multiplets in these theories. Lastly, our results provide new evidence for the $F$-theorem and possibly a $C$-theorem in five-dimensional superconformal theories.

[ { "created": "Mon, 23 Oct 2017 18:00:00 GMT", "version": "v1" }, { "created": "Sun, 21 Jan 2018 00:15:36 GMT", "version": "v2" }, { "created": "Mon, 26 Mar 2018 06:53:07 GMT", "version": "v3" } ]

2018-03-28

[ [ "Chang", "Chi-Ming", "" ], [ "Fluder", "Martin", "" ], [ "Lin", "Ying-Hsuan", "" ], [ "Wang", "Yifan", "" ] ]

We combine supersymmetric localization and the conformal bootstrap to study five-dimensional superconformal field theories. To begin, we classify the admissible counter-terms and derive a general relation between the five-sphere partition function and the conformal and flavor central charges. Along the way, we discover a new superconformal anomaly in five dimensions. We then propose a precise triple factorization formula for the five-sphere partition function, that incorporates instantons and is consistent with flavor symmetry enhancement. We numerically evaluate the central charges for the rank-one Seiberg and Morrison-Seiberg theories, and find strong evidence for their saturation of bootstrap bounds, thereby determining the spectra of long multiplets in these theories. Lastly, our results provide new evidence for the $F$-theorem and possibly a $C$-theorem in five-dimensional superconformal theories.

8.601352

8.773906

10.139573

7.753387

8.423828

8.035192

8.708074

8.156954

7.684649

9.99078

7.665066

7.603354

8.824717

8.197171

7.855006

7.686708

7.800395

7.951434

8.181497

8.848743

7.619634

1811.11572

Nicol\`o Petri

Giuseppe Dibitetto, Nicol\`o Petri

AdS$_{\textbf{2}}$ solutions and their massive IIA origin

21 pages, uses jheppub.sty. arXiv admin note: text overlap with arXiv:1807.07768

null

10.1007/JHEP05(2019)107

null

hep-th

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

We consider warped $\mathrm{AdS}_2\times \mathcal M_4$ backgrounds within $F(4)$ gauged supergravity in six dimensions. In particular, we are able to find supersymmetric solutions of the aforementioned type characterized by $\textrm{AdS}_{6}$ asymptotics and an $\mathcal M_4$ given by a three-sphere warped over a segment. Subsequently, we provide the 10D uplift of the solutions to massive type IIA supergravity, where the geometry is $\mathrm{AdS}_2\times S^{3}\times\tilde{S}^3$ warped over a strip. Finally we construct the brane intersection underlying one of these supergravity backgrounds. The explicit setup involves a D0-F1-D4 bound state intersecting a D4-D8 system.

[ { "created": "Tue, 27 Nov 2018 09:40:24 GMT", "version": "v1" } ]

2019-06-26

[ [ "Dibitetto", "Giuseppe", "" ], [ "Petri", "Nicolò", "" ] ]

We consider warped $\mathrm{AdS}_2\times \mathcal M_4$ backgrounds within $F(4)$ gauged supergravity in six dimensions. In particular, we are able to find supersymmetric solutions of the aforementioned type characterized by $\textrm{AdS}_{6}$ asymptotics and an $\mathcal M_4$ given by a three-sphere warped over a segment. Subsequently, we provide the 10D uplift of the solutions to massive type IIA supergravity, where the geometry is $\mathrm{AdS}_2\times S^{3}\times\tilde{S}^3$ warped over a strip. Finally we construct the brane intersection underlying one of these supergravity backgrounds. The explicit setup involves a D0-F1-D4 bound state intersecting a D4-D8 system.

6.868532

6.528841

7.878129

6.398847

6.116212

6.508023

6.562206

6.599559

6.174447

8.348125

6.409346

6.55197

7.367126

6.498594

6.506893

6.563047

6.690107

6.674507

6.518098

7.547752

6.482098

hep-th/9907034

Sascha Vongehr

Nature: "I have Two Times"

8 pages, two formulas corrected

null

hep-th

null

This is a slightly extended version of a seminar given the 8th of June at the TASI 99 at Colorado University in Boulder. The motivations behind two time theory are explained and the theory is introduced via one of the theory's easier gauges of a particle on a black hole background. Important results that should be interesting as well in the light of the recent AdS mania will be summarized.

[ { "created": "Wed, 7 Jul 1999 01:25:52 GMT", "version": "v1" }, { "created": "Sun, 11 Jul 1999 19:33:44 GMT", "version": "v2" } ]

2007-05-23

[ [ "Vongehr", "Sascha", "" ] ]

This is a slightly extended version of a seminar given the 8th of June at the TASI 99 at Colorado University in Boulder. The motivations behind two time theory are explained and the theory is introduced via one of the theory's easier gauges of a particle on a black hole background. Important results that should be interesting as well in the light of the recent AdS mania will be summarized.

34.529461

34.339306

30.79059

31.110748

34.792606

30.534359

31.828152

29.07198

29.485447

33.934727

28.813269

28.351753

31.372955

29.72805

29.61146

27.676796

29.655481

29.38406

31.18313

32.850506

28.883589

hep-th/0506069

Bin Wang

Bin Wang, Yungui Gong and Elcio Abdalla

Transition of the dark energy equation of state in an interacting holographic dark energy model

revised version, references added. Accepted for publication in PLB

Phys.Lett. B624 (2005) 141-146

10.1016/j.physletb.2005.08.008

null

hep-th astro-ph gr-qc

null

A model of holographic dark energy with an interaction with matter fields has been investigated. Choosing the future event horizon as an IR cutoff, we have shown that the ratio of energy densities can vary with time. With the interaction between the two different constituents of the universe, we observed the evolution of the universe, from early deceleration to late time acceleration. In addition, we have found that such an interacting dark energy model can accommodate a transition of the dark energy from a normal state where $w_D>-1$ to $w_D<-1$ phantom regimes. Implications of interacting dark energy model for the observation of dark energy transition has been discussed.

[ { "created": "Thu, 9 Jun 2005 07:15:09 GMT", "version": "v1" }, { "created": "Thu, 4 Aug 2005 13:02:57 GMT", "version": "v2" }, { "created": "Sun, 7 Aug 2005 07:55:39 GMT", "version": "v3" } ]

2009-11-11

[ [ "Wang", "Bin", "" ], [ "Gong", "Yungui", "" ], [ "Abdalla", "Elcio", "" ] ]

A model of holographic dark energy with an interaction with matter fields has been investigated. Choosing the future event horizon as an IR cutoff, we have shown that the ratio of energy densities can vary with time. With the interaction between the two different constituents of the universe, we observed the evolution of the universe, from early deceleration to late time acceleration. In addition, we have found that such an interacting dark energy model can accommodate a transition of the dark energy from a normal state where $w_D>-1$ to $w_D<-1$ phantom regimes. Implications of interacting dark energy model for the observation of dark energy transition has been discussed.

9.062676

9.954497

8.266739

7.683919

8.931535

8.917288

8.404013

8.719394

8.394047

8.904245

8.182823

8.047321

8.067146

7.896012

7.959581

8.287181

7.996537

7.945598

8.327889

7.952085

8.136311

hep-th/0205047

Giovanni Amelino-Camelia

Giovanni Amelino-Camelia, Michele Arzano, Luisa Doplicher

Field Theories on Canonical and Lie-Algebra Noncommutative Spacetimes

13 pages, LaTex, invited talk given by G. Amelino-Camelia at the 25th Johns Hopkins Workshop on Current Problems in Particle Theory

null

10.1142/9789812791368_0027

null

hep-th

null

Field theories on canonical noncommutative spacetimes, which are being studied also in connection with string theory, and on $\kappa$-Minkowski spacetime, which is a popular example of Lie-algebra noncommutative spacetime, can be naturally constructed by introducing a suitable generating functional for Green functions in energy-momentum space. Direct reference to a star product is not necessary. It is sufficient to make use of the simple properties that the Fourier transform preserves in these spacetimes and establish the rules for products of wave exponentials that are dictated by the non-commutativity of the coordinates. The approach also provides an elementary description of "planar" and "non-planar" Feynman diagrams. We also comment on the rich phenomenology emerging from the analysis of these theories.

[ { "created": "Mon, 6 May 2002 16:34:47 GMT", "version": "v1" } ]

2017-08-23

[ [ "Amelino-Camelia", "Giovanni", "" ], [ "Arzano", "Michele", "" ], [ "Doplicher", "Luisa", "" ] ]

Field theories on canonical noncommutative spacetimes, which are being studied also in connection with string theory, and on $\kappa$-Minkowski spacetime, which is a popular example of Lie-algebra noncommutative spacetime, can be naturally constructed by introducing a suitable generating functional for Green functions in energy-momentum space. Direct reference to a star product is not necessary. It is sufficient to make use of the simple properties that the Fourier transform preserves in these spacetimes and establish the rules for products of wave exponentials that are dictated by the non-commutativity of the coordinates. The approach also provides an elementary description of "planar" and "non-planar" Feynman diagrams. We also comment on the rich phenomenology emerging from the analysis of these theories.

10.319516

9.804523

10.500657

9.825347

10.162314

10.008492

10.313753

10.425268

9.641816

10.509967

9.397888

9.66482

9.565503

9.49201

9.394395

9.873273

9.504927

10.099916

9.43307

9.513343

9.801218

1402.2312

Vyacheslav P. Spiridonov

V.P. Spiridonov and G.S. Vartanov

Vanishing superconformal indices and the chiral symmetry breaking

26 pp

J. High Energy Phys. 06 (2014) 062

10.1007/JHEP06(2014)062

null

hep-th math-ph math.MP

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

Superconformal indices of 4d \N=1 SYM theories with SU(N) and SP(2N) gauge groups are investigated for N_f=N and N_f=N+1 flavors, respectively. These indices vanish for generic values of the flavor fugacities. However, for a singular submanifold of fugacities they behave like the Dirac delta functions and describe the chiral symmetry breaking phenomenon. Similar picture holds for partition functions of 3d supersymmetric field theories with the chiral symmetry breaking.

[ { "created": "Mon, 10 Feb 2014 21:36:53 GMT", "version": "v1" }, { "created": "Mon, 30 Jun 2014 11:50:17 GMT", "version": "v2" } ]

2015-06-18

[ [ "Spiridonov", "V. P.", "" ], [ "Vartanov", "G. S.", "" ] ]

Superconformal indices of 4d \N=1 SYM theories with SU(N) and SP(2N) gauge groups are investigated for N_f=N and N_f=N+1 flavors, respectively. These indices vanish for generic values of the flavor fugacities. However, for a singular submanifold of fugacities they behave like the Dirac delta functions and describe the chiral symmetry breaking phenomenon. Similar picture holds for partition functions of 3d supersymmetric field theories with the chiral symmetry breaking.

8.280867

7.427081

8.709864

7.490312

8.31101

8.736856

7.881774

7.720447

7.989715

8.641807

7.426196

7.325591

7.774693

7.155686

7.888401

7.720917

7.487715

7.29104

7.218508

8.463624

6.846191

hep-th/0409219

Joaquim Gomis

Joaquim Gomis, Kiyoshi Kamimura and Paul K. Townsend

Non-Relativistic Superbranes

19 pages, Latex. Small changes, version to appear on JHEP

JHEP0411:051,2004

10.1088/1126-6708/2004/11/051

UB-ECM-PF-04/26, Toho-CP-0476, DAMTP-2004-94

hep-th

null

Subtleties arising in the non-relativistic limit of relativistic branes are resolved, and a reparametrization-invariant and kappa-symmetric non-relativistic super p-brane action is obtained as a limit of the action for a relativistic super p-brane in a Minkowski vacuum. We give explicit results for the D0-brane, which provides a realization of the super-Bargmann algebra, the IIA superstring and the 11-dimensional supermembrane.

[ { "created": "Wed, 22 Sep 2004 08:46:51 GMT", "version": "v1" }, { "created": "Thu, 21 Oct 2004 12:52:16 GMT", "version": "v2" }, { "created": "Mon, 29 Nov 2004 17:04:47 GMT", "version": "v3" } ]

2008-11-26

[ [ "Gomis", "Joaquim", "" ], [ "Kamimura", "Kiyoshi", "" ], [ "Townsend", "Paul K.", "" ] ]

Subtleties arising in the non-relativistic limit of relativistic branes are resolved, and a reparametrization-invariant and kappa-symmetric non-relativistic super p-brane action is obtained as a limit of the action for a relativistic super p-brane in a Minkowski vacuum. We give explicit results for the D0-brane, which provides a realization of the super-Bargmann algebra, the IIA superstring and the 11-dimensional supermembrane.

7.612827

6.312435

8.132635

6.126759

7.948366

6.17402

6.365216

5.944703

5.942777

8.021599

6.859069

6.190444

7.035188

6.660703

6.429613

6.232651

6.193444

6.031781

6.445487

6.873151

6.459351

hep-th/0108239

Steven S. Gubser

Steven S. Gubser and Indrajit Mitra

Some interesting violations of the Breitenlohner-Freedman bound

16 pages, latex. v2: minor corrections

JHEP 0207 (2002) 044

10.1088/1126-6708/2002/07/044

CALT-68-2345, CITUSC/01-030, PUPT-2005

hep-th

null

We demonstrate that AdS_5 x T^{pq} is unstable, in the sense of Breitenlohner and Freedman, for unequal p and q. This settles, negatively, the long-standing question of whether the T^{pq} manifolds for unequal p and q might correspond to non-supersymmetric fixed points of the renormalization group. We also show that the AdS_3 x S^7 vacuum of Sugimoto's USp(32) open string theory is unstable. This explains, at a heuristic level, the apparent absence of a heterotic string dual.

[ { "created": "Fri, 31 Aug 2001 16:35:14 GMT", "version": "v1" }, { "created": "Wed, 19 Jun 2002 19:20:59 GMT", "version": "v2" } ]

2009-11-07

[ [ "Gubser", "Steven S.", "" ], [ "Mitra", "Indrajit", "" ] ]

We demonstrate that AdS_5 x T^{pq} is unstable, in the sense of Breitenlohner and Freedman, for unequal p and q. This settles, negatively, the long-standing question of whether the T^{pq} manifolds for unequal p and q might correspond to non-supersymmetric fixed points of the renormalization group. We also show that the AdS_3 x S^7 vacuum of Sugimoto's USp(32) open string theory is unstable. This explains, at a heuristic level, the apparent absence of a heterotic string dual.

7.852046

7.600677

7.788942

7.290646

7.793926

7.540448

7.106511

7.255558

7.43813

9.013813

7.130929

7.190598

8.226531

7.682177

7.687223

7.248861

7.34577

7.173576

7.436163

7.508097

6.846982

hep-th/0212218

Eric R. Sharpe

S. Katz, T. Pantev, E. Sharpe

D-branes, orbifolds, and Ext groups

51 pages, 3 figures; v2: material on Freed-Witten added; v3: more typos fixed

Nucl.Phys. B673 (2003) 263-300

10.1016/j.nuclphysb.2003.09.022

ILL-(TH)-02-10

hep-th

null

In this note we extend previous work on massless Ramond spectra of open strings connecting D-branes wrapped on complex manifolds, to consider D-branes wrapped on smooth complex orbifolds. Using standard methods, we calculate the massless boundary Ramond sector spectra directly in BCFT, and find that the states in the spectrum are counted by Ext groups on quotient stacks (which provide a notion of homological algebra relevant for orbifolds). Subtleties that cropped up in our previous work also appear here. We also use the McKay correspondence to relate Ext groups on quotient stacks to Ext groups on (large radius) resolutions of the quotients. As stacks are not commonly used in the physics community, we include pedagogical discussions of some basic relevant properties of stacks.

[ { "created": "Wed, 18 Dec 2002 17:10:41 GMT", "version": "v1" }, { "created": "Wed, 6 Aug 2003 16:12:37 GMT", "version": "v2" }, { "created": "Thu, 18 Dec 2003 02:25:40 GMT", "version": "v3" } ]

2010-04-05

[ [ "Katz", "S.", "" ], [ "Pantev", "T.", "" ], [ "Sharpe", "E.", "" ] ]

In this note we extend previous work on massless Ramond spectra of open strings connecting D-branes wrapped on complex manifolds, to consider D-branes wrapped on smooth complex orbifolds. Using standard methods, we calculate the massless boundary Ramond sector spectra directly in BCFT, and find that the states in the spectrum are counted by Ext groups on quotient stacks (which provide a notion of homological algebra relevant for orbifolds). Subtleties that cropped up in our previous work also appear here. We also use the McKay correspondence to relate Ext groups on quotient stacks to Ext groups on (large radius) resolutions of the quotients. As stacks are not commonly used in the physics community, we include pedagogical discussions of some basic relevant properties of stacks.

12.5319

11.069308

15.377008

11.50014

12.405656

11.598989

11.305614

11.429966

11.562799

14.625072

11.141551

11.776898

12.763321

11.250766

11.284407

11.202861

11.795189

11.882092

11.419161

12.038317

11.554199

1006.5849

Akbar Jahan

A. Jahan

On the String Pair Creation in Dp-Dp' Brane System

Accepted for publication in Mod. Phys. Lett. A

Mod.Phys.Lett.A26:215-222,2011

10.1142/S0217732311034748

null

hep-th

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

We address the bosonic string pair creation in a system of parallel Dp-Dp' (p<p') branes by applying the path integral formalism. We drive the string pair creation rate by calculating the one loop vacuum amplitude of the setup in presence of the background electric field defined over the Dp'-brane. It is pointed out that just the components of the electric field defined over the $p$ spatial directions (the common directions along which the both D-branes are extended) give rise to the pair creation

[ { "created": "Wed, 30 Jun 2010 13:26:15 GMT", "version": "v1" }, { "created": "Mon, 22 Nov 2010 08:24:20 GMT", "version": "v2" } ]

2011-03-04

[ [ "Jahan", "A.", "" ] ]

We address the bosonic string pair creation in a system of parallel Dp-Dp' (p<p') branes by applying the path integral formalism. We drive the string pair creation rate by calculating the one loop vacuum amplitude of the setup in presence of the background electric field defined over the Dp'-brane. It is pointed out that just the components of the electric field defined over the $p$ spatial directions (the common directions along which the both D-branes are extended) give rise to the pair creation

11.934909

9.799118

12.568264

10.218209

10.747036

9.545141

9.283818

9.64655

9.576538

13.341385

10.267715

11.058061

11.673627

10.639121

10.685436

10.713172

10.946076

11.149667

10.661012

11.99018

11.450273

hep-th/0607179

A. Tureanu

M. Chaichian, A. Tureanu, G. Zet

Twist as a Symmetry Principle and the Noncommutative Gauge Theory Formulation

13 pages, more accurate motivation added

Phys.Lett.B651:319-323,2007

10.1016/j.physletb.2007.06.026

HIP-2006-32/TH

hep-th math-ph math.MP

null

Based on the analysis of the most natural and general ansatz, we conclude that the concept of twist symmetry, originally obtained for the noncommutative space-time, cannot be extended to include internal gauge symmetry. The case is reminiscent of the Coleman-Mandula theorem. Invoking the supersymmetry may reverse the situation.

[ { "created": "Mon, 24 Jul 2006 18:46:48 GMT", "version": "v1" }, { "created": "Wed, 8 Nov 2006 18:04:02 GMT", "version": "v2" }, { "created": "Wed, 13 Jun 2007 09:28:49 GMT", "version": "v3" }, { "created": "Sun, 24 Jun 2007 13:46:04 GMT", "version": "v4" } ]

2008-11-26

[ [ "Chaichian", "M.", "" ], [ "Tureanu", "A.", "" ], [ "Zet", "G.", "" ] ]

Based on the analysis of the most natural and general ansatz, we conclude that the concept of twist symmetry, originally obtained for the noncommutative space-time, cannot be extended to include internal gauge symmetry. The case is reminiscent of the Coleman-Mandula theorem. Invoking the supersymmetry may reverse the situation.

21.029999

16.944494

17.629807

16.262486

16.685366

16.033104

18.279898

15.500428

16.703691

18.276268

15.317822

16.234783

17.772968

16.641588

16.775066

16.595804

16.817787

16.527771

16.975513

17.476681

16.056814

1712.02603

Santiago Codesido Sanchez

Santiago Codesido, Marcos Marino, Ricardo Schiappa

Non-Perturbative Quantum Mechanics from Non-Perturbative Strings

56 pages, 9 figures

null

NSF-ITP-17-152

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

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

This work develops a new method to calculate non-perturbative corrections in one-dimensional Quantum Mechanics, based on trans-series solutions to the refined holomorphic anomaly equations of topological string theory. The method can be applied to traditional spectral problems governed by the Schr\"odinger equation, where it both reproduces and extends the results of well-established approaches, such as the exact WKB method. It can be also applied to spectral problems based on the quantization of mirror curves, where it leads to new results on the trans-series structure of the spectrum. Various examples are discussed, including the modified Mathieu equation, the double-well potential, and the quantum mirror curves of local $\mathbb{P}^2$ and local $\mathbb{F}_0$. In all these examples, it is verified in detail that the trans-series obtained with this new method correctly predict the large-order behavior of the corresponding perturbative sectors.

[ { "created": "Thu, 7 Dec 2017 13:02:30 GMT", "version": "v1" }, { "created": "Fri, 12 Oct 2018 13:48:17 GMT", "version": "v2" } ]

2018-10-15

[ [ "Codesido", "Santiago", "" ], [ "Marino", "Marcos", "" ], [ "Schiappa", "Ricardo", "" ] ]

This work develops a new method to calculate non-perturbative corrections in one-dimensional Quantum Mechanics, based on trans-series solutions to the refined holomorphic anomaly equations of topological string theory. The method can be applied to traditional spectral problems governed by the Schr\"odinger equation, where it both reproduces and extends the results of well-established approaches, such as the exact WKB method. It can be also applied to spectral problems based on the quantization of mirror curves, where it leads to new results on the trans-series structure of the spectrum. Various examples are discussed, including the modified Mathieu equation, the double-well potential, and the quantum mirror curves of local $\mathbb{P}^2$ and local $\mathbb{F}_0$. In all these examples, it is verified in detail that the trans-series obtained with this new method correctly predict the large-order behavior of the corresponding perturbative sectors.

5.629722

5.497554

6.718626

5.333867

5.401569

5.279293

5.202671

5.466451

5.334948

7.355412

5.111611

5.326293

5.781328

5.36479

5.393723

5.399294

5.356466

5.37785

5.401266

5.847972

5.276248

1409.8295

James Halverson

Antonella Grassi, James Halverson, Julius Shaneson, and Washington Taylor

Non-Higgsable QCD and the Standard Model Spectrum in F-theory

v1: 29 pages + references

null

10.1007/JHEP01(2015)086

NSF-KITP-14-100, MIT-CTP-4581

hep-th hep-ph math.AG math.GT

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

Many four-dimensional supersymmetric compactifications of F-theory contain gauge groups that cannot be spontaneously broken through geometric deformations. These "non-Higgsable clusters" include realizations of $SU(3)$, $SU(2)$, and $SU(3) \times SU(2)$, but no $SU(n)$ gauge groups or factors with $n> 3$. We study possible realizations of the standard model in F-theory that utilize non-Higgsable clusters containing $SU(3)$ factors and show that there are three distinct possibilities. In one, fields with the non-abelian gauge charges of the standard model matter fields are localized at a single locus where non-perturbative $SU(3)$ and $SU(2)$ seven-branes intersect; cancellation of gauge anomalies implies that the simplest four-dimensional chiral $SU(3)\times SU(2)\times U(1)$ model that may arise in this context exhibits standard model families. We identify specific geometries that realize non-Higgsable $SU(3)$ and $SU(3) \times SU(2)$ sectors. This kind of scenario provides a natural mechanism that could explain the existence of an unbroken QCD sector, or more generally the appearance of light particles and symmetries at low energy scales.

[ { "created": "Mon, 29 Sep 2014 20:00:17 GMT", "version": "v1" } ]

2015-06-23

[ [ "Grassi", "Antonella", "" ], [ "Halverson", "James", "" ], [ "Shaneson", "Julius", "" ], [ "Taylor", "Washington", "" ] ]

Many four-dimensional supersymmetric compactifications of F-theory contain gauge groups that cannot be spontaneously broken through geometric deformations. These "non-Higgsable clusters" include realizations of $SU(3)$, $SU(2)$, and $SU(3) \times SU(2)$, but no $SU(n)$ gauge groups or factors with $n> 3$. We study possible realizations of the standard model in F-theory that utilize non-Higgsable clusters containing $SU(3)$ factors and show that there are three distinct possibilities. In one, fields with the non-abelian gauge charges of the standard model matter fields are localized at a single locus where non-perturbative $SU(3)$ and $SU(2)$ seven-branes intersect; cancellation of gauge anomalies implies that the simplest four-dimensional chiral $SU(3)\times SU(2)\times U(1)$ model that may arise in this context exhibits standard model families. We identify specific geometries that realize non-Higgsable $SU(3)$ and $SU(3) \times SU(2)$ sectors. This kind of scenario provides a natural mechanism that could explain the existence of an unbroken QCD sector, or more generally the appearance of light particles and symmetries at low energy scales.

7.290915

7.671712

7.898055

6.922969

7.70423

7.985816

7.785233

7.712195

7.372129

8.497372

7.324987

6.867451

6.905067

6.859992

7.18064

7.173579

7.165704

6.866409

7.065989

7.283478

7.055812

hep-th/9310028

A. Leonidov

Resummed Effective Action in Inhomogeneous External Field at Zero and Finite Temperature

BI-TP 93/53, Plain LaTeX

null

hep-th

null

The two ways of resumming the efffective action for the massless test particles in inhomogeneous external field at zero and finite temperature providing the infrared finite answer are discussed. The case of the massive test particles having a mass which is parametrically small with respect to a scale set by the inhomogeneous external field is briefly considered.

[ { "created": "Wed, 6 Oct 1993 12:37:57 GMT", "version": "v1" } ]

2007-05-23

[ [ "Leonidov", "A.", "" ] ]

The two ways of resumming the efffective action for the massless test particles in inhomogeneous external field at zero and finite temperature providing the infrared finite answer are discussed. The case of the massive test particles having a mass which is parametrically small with respect to a scale set by the inhomogeneous external field is briefly considered.

14.982998

15.696496

14.941158

13.928156

15.659028

13.836685

13.967149

14.624686

12.644663

15.538398

12.954579

13.23848

13.722162

13.06817

13.516731

13.392229

13.371956

13.480976

13.911472

13.517374

13.497114

1007.2651

Rafael Ferraro

Born-Infeld electrostatics in the complex plane

15 pages, 4 figures

JHEP 1012:028,2010

10.1007/JHEP12(2010)028

null

hep-th math-ph math.MP

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

The complex method to obtain 2-dimensional Born-Infeld electrostatic solutions is presented in a renewed form. The solutions are generated by a holomorphic seed that makes contact with the Coulombian complex potential. The procedure is exemplified by solving the Born-Infeld multipolar configurations. Besides, it is shown that the attractive force between two equal but opposite charges is lower than its Coulombian partner; it decreases up to vanish when the charges approach each other below a distance ruled by the Born-Infeld constant.

[ { "created": "Thu, 15 Jul 2010 20:42:15 GMT", "version": "v1" }, { "created": "Thu, 25 Nov 2010 16:39:10 GMT", "version": "v2" }, { "created": "Fri, 10 Dec 2010 16:04:07 GMT", "version": "v3" } ]

2011-04-06

[ [ "Ferraro", "Rafael", "" ] ]

The complex method to obtain 2-dimensional Born-Infeld electrostatic solutions is presented in a renewed form. The solutions are generated by a holomorphic seed that makes contact with the Coulombian complex potential. The procedure is exemplified by solving the Born-Infeld multipolar configurations. Besides, it is shown that the attractive force between two equal but opposite charges is lower than its Coulombian partner; it decreases up to vanish when the charges approach each other below a distance ruled by the Born-Infeld constant.

14.774691

14.328497

14.413427

13.459716

14.335467

14.301804

14.061553

13.384208

14.725381

14.845938

14.136453

13.564053

14.316022

14.620854

14.493819

14.069253

14.476423

13.780599

14.450175

14.52462

14.28502

2408.03673

George Georgiou

The massless S-matrix of integrable $\sigma$-models

32 pages

null

hep-th hep-ph nlin.SI

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

In contradistinction to the case of massive excitations, the connection between integrability and the tree-level massless scattering matrix of integrable $\sigma$-models is lost. Namely, in well-known 2-d integrable models the tree-level massless S-matrix exhibits particle production and fails to factorise. This is conjectured to happen due to IR ambiguities in the massless tree-level amplitudes. We present a definition of the massless S-matrix which has all the nice properties of integrable theories, there is no particle production and the S-matrix factorises. As an example, we present in detail the case of the $SU(2)$ principal chiral model (PCM).

[ { "created": "Wed, 7 Aug 2024 10:30:49 GMT", "version": "v1" } ]

2024-08-08

[ [ "Georgiou", "George", "" ] ]

In contradistinction to the case of massive excitations, the connection between integrability and the tree-level massless scattering matrix of integrable $\sigma$-models is lost. Namely, in well-known 2-d integrable models the tree-level massless S-matrix exhibits particle production and fails to factorise. This is conjectured to happen due to IR ambiguities in the massless tree-level amplitudes. We present a definition of the massless S-matrix which has all the nice properties of integrable theories, there is no particle production and the S-matrix factorises. As an example, we present in detail the case of the $SU(2)$ principal chiral model (PCM).

8.365048

7.630409

7.922048

6.947968

7.158585

7.328797

6.67421

6.702483

7.127288

8.566787

6.958154

7.207651

7.45505

7.18622

7.1798

7.339981

6.981889

7.027694

7.078542

7.319949

7.139605

hep-th/9301041

null

Ansar Fayyazuddin

On the origin of multi-component anyon wave functions

20, Latex, USITP-92-15

Nucl.Phys. B401 (1993) 644-662

10.1016/0550-3213(93)90317-I

null

hep-th

null

In this paper I discuss how the component structure of anyon wave functions arises in theories with non-relativistic matter coupled to a Chern-Simons gauge field on the torus. It is shown that there exists a singular gauge transformation which brings the Hamiltonian to free form. The gauge transformation removes a degree of freedom from the Hamiltonian. This degree of freedom generates only a finite dimensional Hilbert space and is responsible for the component structure of free anyon wave functions. This gives an understanding of the need for multiple component anyon wave functions from the point of view of Chern-Simons theory.

[ { "created": "Tue, 12 Jan 1993 11:28:00 GMT", "version": "v1" } ]

2009-10-22

[ [ "Fayyazuddin", "Ansar", "" ] ]

In this paper I discuss how the component structure of anyon wave functions arises in theories with non-relativistic matter coupled to a Chern-Simons gauge field on the torus. It is shown that there exists a singular gauge transformation which brings the Hamiltonian to free form. The gauge transformation removes a degree of freedom from the Hamiltonian. This degree of freedom generates only a finite dimensional Hilbert space and is responsible for the component structure of free anyon wave functions. This gives an understanding of the need for multiple component anyon wave functions from the point of view of Chern-Simons theory.

8.323239

7.321733

7.984943

7.163651

7.878544

7.590217

6.719638

7.318769

6.897145

7.812225

7.108725

7.562854

7.849741

7.344361

7.568055

7.564499

7.458842

7.491879

7.535297

7.591241

7.452824

hep-th/0406027

Clovis Wotzasek

Patricio Gaete, Clovis Wotzasek

Fractional statistics and confinement

Four pages, Latex file

Europhys.Lett. 69 (2005) 341-345

10.1209/epl/i2004-10370-7

USM-TH-154

hep-th

null

It is shown that a pointlike composite having charge and magnetic moment displays a confining potential for the static interaction while simultaneously obeying fractional statistics in a pure gauge theory in three dimensions, without a Chern-Simons term. This result is distinct from the Maxwell-Chern-Simons theory that shows a screening nature for the potential.

[ { "created": "Wed, 2 Jun 2004 20:59:52 GMT", "version": "v1" } ]

2009-11-10

[ [ "Gaete", "Patricio", "" ], [ "Wotzasek", "Clovis", "" ] ]

It is shown that a pointlike composite having charge and magnetic moment displays a confining potential for the static interaction while simultaneously obeying fractional statistics in a pure gauge theory in three dimensions, without a Chern-Simons term. This result is distinct from the Maxwell-Chern-Simons theory that shows a screening nature for the potential.

22.330202

18.271502

21.069696

18.886749

18.235699

18.957476

18.171284

18.211033

17.503319

21.871578

18.194807

17.589161

19.469761

17.916639

18.120281

17.497849

17.171364

18.101412

18.083984

18.637812

18.643986

0809.3287

Yu. M. Zinoviev

Toward frame-like gauge invariant formulation for massive mixed symmetry bosonic fields

18 pages, 9 LaTeX pictures

Nucl.Phys.B812:46-63,2009

10.1016/j.nuclphysb.2008.12.003

null

hep-th

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

In this paper, as a first step toward frame-like gauge invariant formulation for massive mixed symmetry bosonic fields, we consider mixed tensors, corresponding to Young tableau with two rows with k >= 2 boxes in the first row and only one box in the second one. We construct complete Lagrangian and gauge transformations describing massive particles in (anti) de Sitter space-time with arbitrary dimension d >= 4 and investigate all possible massless and partially massless limits.

[ { "created": "Fri, 19 Sep 2008 15:12:43 GMT", "version": "v1" } ]

2009-02-12

[ [ "Zinoviev", "Yu. M.", "" ] ]

In this paper, as a first step toward frame-like gauge invariant formulation for massive mixed symmetry bosonic fields, we consider mixed tensors, corresponding to Young tableau with two rows with k >= 2 boxes in the first row and only one box in the second one. We construct complete Lagrangian and gauge transformations describing massive particles in (anti) de Sitter space-time with arbitrary dimension d >= 4 and investigate all possible massless and partially massless limits.

12.370759

7.822642

13.399786

9.055134

9.304193

7.549041

8.864264

8.241468

8.881866

14.195227

10.07655

9.841723

12.140399

10.0015

10.029156

9.840862

9.5883

9.621443

9.985617

11.41774

10.661724

hep-th/9705180

G. Mussardo

D.C. Cabra, A. Honecker, G. Mussardo, P. Pujol

A Non-Perturbative Approach to the Random-Bond Ising Model

17 pages LaTeX, 1 PostScript figure included using psfig.sty

J.Phys.A30:8415-8426,1997

10.1088/0305-4470/30/24/008

IC/97/37, SISSA 54/97/EP

hep-th cond-mat

null

We study the N -> 0 limit of the O(N) Gross-Neveu model in the framework of the massless form-factor approach. This model is related to the continuum limit of the Ising model with random bonds via the replica method. We discuss how this method may be useful in calculating correlation functions of physical operators. The identification of non-perturbative fixed points of the O(N) Gross-Neveu model is pursued by its mapping to a WZW model.

[ { "created": "Fri, 23 May 1997 09:41:51 GMT", "version": "v1" } ]

2008-11-26

[ [ "Cabra", "D. C.", "" ], [ "Honecker", "A.", "" ], [ "Mussardo", "G.", "" ], [ "Pujol", "P.", "" ] ]

We study the N -> 0 limit of the O(N) Gross-Neveu model in the framework of the massless form-factor approach. This model is related to the continuum limit of the Ising model with random bonds via the replica method. We discuss how this method may be useful in calculating correlation functions of physical operators. The identification of non-perturbative fixed points of the O(N) Gross-Neveu model is pursued by its mapping to a WZW model.

9.407839

9.216611

9.747445

7.98174

8.878163

8.603774

8.227096

8.733567

8.676143

10.783184

8.471041

8.852273

9.312316

9.013168

8.724677

8.542686

8.675185

8.829741

8.903369

9.619981

8.730736

hep-th/0511086

John Baez

John C. Baez

Calabi-Yau Manifolds and the Standard Model

4 pages

null

hep-th

null

For any subgroup G of O(n), define a "G-manifold" to be an n-dimensional Riemannian manifold whose holonomy group is contained in G. Then a G-manifold where G is the Standard Model gauge group is precisely a Calabi-Yau manifold of 10 real dimensions whose tangent spaces split into orthogonal 4- and 6-dimensional subspaces, each preserved by the complex structure and parallel transport. In particular, the product of Calabi-Yau manifolds of dimensions 4 and 6 gives such a G-manifold. Moreover, any such G-manifold is naturally a spin manifold, and Dirac spinors on this manifold transform in the representation of G corresponding to one generation of Standard Model fermions and their antiparticles.

[ { "created": "Tue, 8 Nov 2005 06:14:07 GMT", "version": "v1" }, { "created": "Wed, 9 Nov 2005 04:18:15 GMT", "version": "v2" } ]

2007-05-23

[ [ "Baez", "John C.", "" ] ]

For any subgroup G of O(n), define a "G-manifold" to be an n-dimensional Riemannian manifold whose holonomy group is contained in G. Then a G-manifold where G is the Standard Model gauge group is precisely a Calabi-Yau manifold of 10 real dimensions whose tangent spaces split into orthogonal 4- and 6-dimensional subspaces, each preserved by the complex structure and parallel transport. In particular, the product of Calabi-Yau manifolds of dimensions 4 and 6 gives such a G-manifold. Moreover, any such G-manifold is naturally a spin manifold, and Dirac spinors on this manifold transform in the representation of G corresponding to one generation of Standard Model fermions and their antiparticles.

6.032058

6.577161

7.031108

5.734203

6.079544

6.539179

5.695226

6.351451

6.33969

7.084428

6.284092

5.5195

5.898588

5.753101

5.632886

5.439703

5.486557

5.525486

5.530581

5.607294

5.47369

2101.02512

Anna Pachol

Stjepan Meljanac, Anna Pacho{\l}

Heisenberg doubles for Snyder type models

19 pages, no figures, 1 Appendix; version accepted for publication

Symmetry 2021, 13(6), 1055

10.3390/sym13061055

null

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

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

A Snyder model generated by the noncommutative coordinates and Lorentz generators close a Lie algebra. The application of the Heisenberg double construction is investigated for the Snyder coordinates and momenta generators. It leads to the phase space of the Snyder model. Further, the extended Snyder algebra is constructed by using the Lorentz algebra, in one dimension higher. The dual pair of extended Snyder algebra and extended Snyder group is then formulated. Two Heisenberg doubles are considered, one with the conjugate tensorial momenta and another with the Lorentz matrices. Explicit formulae for all Heisenberg doubles are given.

[ { "created": "Thu, 7 Jan 2021 12:24:36 GMT", "version": "v1" }, { "created": "Thu, 21 Jan 2021 09:25:43 GMT", "version": "v2" }, { "created": "Thu, 3 Jun 2021 15:34:35 GMT", "version": "v3" } ]

2021-06-17

[ [ "Meljanac", "Stjepan", "" ], [ "Pachoł", "Anna", "" ] ]

A Snyder model generated by the noncommutative coordinates and Lorentz generators close a Lie algebra. The application of the Heisenberg double construction is investigated for the Snyder coordinates and momenta generators. It leads to the phase space of the Snyder model. Further, the extended Snyder algebra is constructed by using the Lorentz algebra, in one dimension higher. The dual pair of extended Snyder algebra and extended Snyder group is then formulated. Two Heisenberg doubles are considered, one with the conjugate tensorial momenta and another with the Lorentz matrices. Explicit formulae for all Heisenberg doubles are given.

13.03632

11.879741

13.750949

10.961267

11.518515

11.353777

12.173009

11.241301

11.298802

15.063227

11.23879

11.279399

11.981585

10.877541

11.098376

11.550261

11.207384

11.309825

11.154607

11.898953

10.824501

1705.05425

Olaf Lechtenfeld

Francisco Correa, Olaf Lechtenfeld

${\cal PT}$ deformation of angular Calogero models

1+41 pages, 12 figures

null

10.1007/JHEP11(2017)122

null

hep-th math-ph math.MP

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

The rational Calogero model based on an arbitrary rank-$n$ Coxeter root system is spherically reduced to a superintegrable angular model of a particle moving on $S^{n-1}$ subject to a very particular potential singular at the reflection hyperplanes. It is outlined how to find conserved charges and to construct intertwining operators. We deform these models in a ${\cal PT}$-symmetric manner by judicious complex coordinate transformations, which render the potential less singular. The ${\cal PT}$ deformation does not change the energy eigenvalues but in some cases adds a previously unphysical tower of states. For integral couplings the new and old energy levels coincide, which roughly doubles the previous degeneracy and allows for a conserved nonlinear supersymmetry charge. We present the details for the generic rank-two ($A_2$, $G_2$) and all rank-three Coxeter systems ($AD_3$, $BC_3$ and $H_3$), including a reducible case ($A_1^{\otimes 3}$).

[ { "created": "Mon, 15 May 2017 19:56:48 GMT", "version": "v1" } ]

2018-01-17

[ [ "Correa", "Francisco", "" ], [ "Lechtenfeld", "Olaf", "" ] ]

The rational Calogero model based on an arbitrary rank-$n$ Coxeter root system is spherically reduced to a superintegrable angular model of a particle moving on $S^{n-1}$ subject to a very particular potential singular at the reflection hyperplanes. It is outlined how to find conserved charges and to construct intertwining operators. We deform these models in a ${\cal PT}$-symmetric manner by judicious complex coordinate transformations, which render the potential less singular. The ${\cal PT}$ deformation does not change the energy eigenvalues but in some cases adds a previously unphysical tower of states. For integral couplings the new and old energy levels coincide, which roughly doubles the previous degeneracy and allows for a conserved nonlinear supersymmetry charge. We present the details for the generic rank-two ($A_2$, $G_2$) and all rank-three Coxeter systems ($AD_3$, $BC_3$ and $H_3$), including a reducible case ($A_1^{\otimes 3}$).

10.506492

10.661335

11.530371

10.802599

10.350183

10.183197

10.896691

9.721076

10.639055

12.895718

9.896284

9.888659

10.339521

10.116128

10.114098

10.133632

9.63446

9.971519

9.888819

10.06269

9.944811

hep-th/9409070

null

A. Shafei Deh Abad, V. Milani

$Q$-Meromorphic Functions, Quantums sets and Homomorphisms of the Quantum Plane

15 pages

null

(ISTPM) IPM-94-049

hep-th math.QA

null

In this paper which is the completion of [1], we construct the $A_0(q)$-algebra of $Q$-meromorphic functions on the quantum plane. This is the largest non-commutative, associative, $A_0(q)$-algebra of functions constructed on the quantum plane. We also define the notion of quantum subsets of R$^2$ which is a generalization of the notion of quantum disc and charactrize some of their properties. In the end we study the $Q$-homomorphisms of the quantum plane.

[ { "created": "Mon, 12 Sep 1994 20:15:31 GMT", "version": "v1" } ]

2008-02-03

[ [ "Abad", "A. Shafei Deh", "" ], [ "Milani", "V.", "" ] ]

In this paper which is the completion of [1], we construct the $A_0(q)$-algebra of $Q$-meromorphic functions on the quantum plane. This is the largest non-commutative, associative, $A_0(q)$-algebra of functions constructed on the quantum plane. We also define the notion of quantum subsets of R$^2$ which is a generalization of the notion of quantum disc and charactrize some of their properties. In the end we study the $Q$-homomorphisms of the quantum plane.

8.216392

7.9405

7.704545

7.930448

7.451451

7.58176

8.142073

7.893292

7.573385

8.855983

7.840438

7.827554

7.949184

7.693244

7.641547

7.857025

7.790079

7.936396

7.435231

7.847329

7.47992

2207.11261

Luca Delacr\'etaz

Luca V. Delacretaz, A. Liam Fitzpatrick, Emanuel Katz, Matthew T. Walters

Thermalization and chaos in a 1+1d QFT

17 pages, 18 figures; v2: added Fig.10 on quantum scars, published version

null

10.1007/JHEP02(2023)045

EFI 22-7

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

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

We study aspects of chaos and thermodynamics at strong coupling in a scalar model using LCT numerical methods. We find that our eigenstate spectrum satisfies Wigner-Dyson statistics and that the coefficients describing eigenstates in our basis satisfy Random Matrix Theory (RMT) statistics. At weak coupling, though the bulk of states satisfy RMT statistics, we find several scar states as well. We then use these chaotic states to compute the equation of state of the model, obtaining results consistent with Conformal Field Theory (CFT) expectations at temperatures above the scale of relevant interactions. We also test the Eigenstate Thermalization Hypothesis by computing the expectation value of local operators in eigenstates, and check that their behavior is consistent with thermal CFT values at high temperatures. Finally, we compute the Spectral Form Factor (SFF), which has the expected behavior associated with the equation of state at short times and chaos at long times. We also propose a new technique for extracting the connected part of the SFF without the need of disorder averaging by using different symmetry sectors.

[ { "created": "Fri, 22 Jul 2022 18:00:00 GMT", "version": "v1" }, { "created": "Tue, 14 Feb 2023 16:12:06 GMT", "version": "v2" } ]

2023-02-22

[ [ "Delacretaz", "Luca V.", "" ], [ "Fitzpatrick", "A. Liam", "" ], [ "Katz", "Emanuel", "" ], [ "Walters", "Matthew T.", "" ] ]

We study aspects of chaos and thermodynamics at strong coupling in a scalar model using LCT numerical methods. We find that our eigenstate spectrum satisfies Wigner-Dyson statistics and that the coefficients describing eigenstates in our basis satisfy Random Matrix Theory (RMT) statistics. At weak coupling, though the bulk of states satisfy RMT statistics, we find several scar states as well. We then use these chaotic states to compute the equation of state of the model, obtaining results consistent with Conformal Field Theory (CFT) expectations at temperatures above the scale of relevant interactions. We also test the Eigenstate Thermalization Hypothesis by computing the expectation value of local operators in eigenstates, and check that their behavior is consistent with thermal CFT values at high temperatures. Finally, we compute the Spectral Form Factor (SFF), which has the expected behavior associated with the equation of state at short times and chaos at long times. We also propose a new technique for extracting the connected part of the SFF without the need of disorder averaging by using different symmetry sectors.

10.656097

9.923631

10.960277

10.084347

11.604505

11.775522

11.596542

10.989628

10.432614

11.983538

10.777419

10.406428

10.47379

10.445272

10.28946

10.207466

10.586555

10.527595

10.454094

10.563258

10.09769

0805.4217

Robert Brandenberger

Robert Brandenberger (McGill University) and Walter Craig (McMaster University)

Towards a New Proof of Anderson Localization

null

10.1140/epjc/s10052-012-1881-9

null

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

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

The wave function of a non-relativistic particle in a periodic potential admits oscillatory solutions, the Bloch waves. In the presence of a random noise contribution to the potential the wave function is localized. We outline a new proof of this Anderson localization phenomenon in one spatial dimension, extending the classical result to the case of a periodic background potential. The proof makes use of techniques previously developed to study the effects of noise on reheating in inflationary cosmology, employing methods of random matrix theory.

[ { "created": "Tue, 27 May 2008 20:55:05 GMT", "version": "v1" } ]

2015-05-13

[ [ "Brandenberger", "Robert", "", "McGill University" ], [ "Craig", "Walter", "", "McMaster\n University" ] ]

The wave function of a non-relativistic particle in a periodic potential admits oscillatory solutions, the Bloch waves. In the presence of a random noise contribution to the potential the wave function is localized. We outline a new proof of this Anderson localization phenomenon in one spatial dimension, extending the classical result to the case of a periodic background potential. The proof makes use of techniques previously developed to study the effects of noise on reheating in inflationary cosmology, employing methods of random matrix theory.

9.284213

9.353601

8.880168

9.151582

9.761785

9.858999

10.094147

9.316013

9.04608

9.609107

8.853956

9.593379

8.8871

9.115832

8.974545

9.338758

8.87577

9.145932

9.066324

9.041873

9.057261

hep-th/0203033

George Tsoupros

Perturbative Evaluation of the Effective Action for a Self-Interacting Conformal Field on a Manifold with Boundary

12 pages, 5 figures LaTeX2e. Talk delivered in the third (ACGRG3) conference of the ASGRG, Perth-Australia. To appear in proceedings

Gen.Rel.Grav. 34 (2002) 1739-1750

null

hep-th

null

In a series of three projects a new technique which allows for higher-loop renormalisation on a manifold with boundary has been developed and used in order to assess the effects of the boundary on the dynamical behaviour of the theory. Commencing with a conceptual approach to the theoretical underpinnings of the, underlying, spherical formulation of Euclidean Quantum Field Theory this overview presents an outline of the stated technique's conceptual development, mathematical formalism and physical significance.

[ { "created": "Tue, 5 Mar 2002 11:51:00 GMT", "version": "v1" } ]

2007-05-23

[ [ "Tsoupros", "George", "" ] ]

In a series of three projects a new technique which allows for higher-loop renormalisation on a manifold with boundary has been developed and used in order to assess the effects of the boundary on the dynamical behaviour of the theory. Commencing with a conceptual approach to the theoretical underpinnings of the, underlying, spherical formulation of Euclidean Quantum Field Theory this overview presents an outline of the stated technique's conceptual development, mathematical formalism and physical significance.

23.254295

18.594296

21.451048

19.359613

19.400232

19.441925

20.587616

19.842094

20.249384

20.810234

19.793428

19.025661

21.039879

19.818567

19.290138

18.882784

19.268368

18.55414

19.226572

20.194141

19.138695

2201.10333

Gianmassimo Tasinato

Stochastic approach to gravitational waves from inflation

27 pages, 2 figures

Phys.Rev.D 105 (2022) 2, 023521

10.1103/PhysRevD.105.023521

null

hep-th gr-qc

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

We propose a coarse-graining procedure for describing the superhorizon dynamics of inflationary tensor modes. Our aim is to formulate a stochastic description for the statistics of spin-2 modes which seed the background of gravitational waves from inflation. Using basic principles of quantum mechanics, we determine a probability density for coarse-grained tensor fields, which satisfies a stochastic Fokker-Planck equation at superhorizon scales. The corresponding noise and drift are computable, and depend on the cosmological system under consideration. Our general formulas are applied to a variety of cosmological scenarios, also considering cases seldom considered in the context of stochastic inflation, and which are important for their observational consequences. We start obtaining the expected expressions for noise and drift in pure de Sitter and power-law inflation, also including a discussion of effects of non-attractor phases. We then apply our methods to describe scenarios with a transition from inflation to standard cosmological eras of radiation and matter domination. We show how the interference between modes flowing through the cosmological horizon, and modes spontaneously produced at superhorizon scales, can affect the stochastic evolution of coarse-grained tensor quantities. In appropriate limits, we find that the corresponding spectrum of tensor modes at horizon crossing matches with the results of quantum field theory calculations, but we also highlight where differences can arise.

[ { "created": "Tue, 25 Jan 2022 14:13:20 GMT", "version": "v1" } ]

2022-02-03

[ [ "Tasinato", "Gianmassimo", "" ] ]

We propose a coarse-graining procedure for describing the superhorizon dynamics of inflationary tensor modes. Our aim is to formulate a stochastic description for the statistics of spin-2 modes which seed the background of gravitational waves from inflation. Using basic principles of quantum mechanics, we determine a probability density for coarse-grained tensor fields, which satisfies a stochastic Fokker-Planck equation at superhorizon scales. The corresponding noise and drift are computable, and depend on the cosmological system under consideration. Our general formulas are applied to a variety of cosmological scenarios, also considering cases seldom considered in the context of stochastic inflation, and which are important for their observational consequences. We start obtaining the expected expressions for noise and drift in pure de Sitter and power-law inflation, also including a discussion of effects of non-attractor phases. We then apply our methods to describe scenarios with a transition from inflation to standard cosmological eras of radiation and matter domination. We show how the interference between modes flowing through the cosmological horizon, and modes spontaneously produced at superhorizon scales, can affect the stochastic evolution of coarse-grained tensor quantities. In appropriate limits, we find that the corresponding spectrum of tensor modes at horizon crossing matches with the results of quantum field theory calculations, but we also highlight where differences can arise.

11.010095

12.597253

11.207205

10.555993

11.691932

12.116049

11.325948

10.830649

11.829395

12.044669

11.412632

11.499537

10.838698

11.163105

11.335203

11.335843

11.344801

10.906423

11.389565

11.059477

11.013507

hep-th/0602227

Shane Magee

Conor Houghton and Shane Magee

The effect of pion mass on Skyrme configurations

6 pages, 3 figures; new data added, clarifications and typo corrections made; version to appear in Europhysics Letters

Europhys.Lett.77:11001,2007

10.1209/0295-5075/77/11001

TCD-MATH 06-02

hep-th

null

In the Skyrme model, atomic nuclei are identified with solitonic configurations. If the pion mass is set to zero, these configurations are spherical shells of energy with a fullerene-like appearance and are well approximated by a simple rational map ansatz. Using simulated annealing, we have calculated minimum energy configurations for non-zero pion mass and have found that they are less round and are less well approximated by the rational map ansatz.

[ { "created": "Wed, 22 Feb 2006 16:16:12 GMT", "version": "v1" }, { "created": "Sat, 25 Feb 2006 13:30:09 GMT", "version": "v2" }, { "created": "Tue, 21 Nov 2006 16:35:49 GMT", "version": "v3" } ]

2008-11-26

[ [ "Houghton", "Conor", "" ], [ "Magee", "Shane", "" ] ]

In the Skyrme model, atomic nuclei are identified with solitonic configurations. If the pion mass is set to zero, these configurations are spherical shells of energy with a fullerene-like appearance and are well approximated by a simple rational map ansatz. Using simulated annealing, we have calculated minimum energy configurations for non-zero pion mass and have found that they are less round and are less well approximated by the rational map ansatz.

9.194356

7.514072

8.83808

7.743673

8.053773

7.014969

7.773179

7.846153

7.760056

9.678131

7.589231

7.813059

8.374613

7.892877

7.906931

7.812293

7.791362

8.139807

7.903098

8.355602

8.068874

2302.03998

Kilian Hersent

Quantum properties of $U(1)$-like gauge theory on $\kappa$-Minkowski

6+4 pages. From a talk given at the "Workshop on Noncommutative and generalized geometry in string theory, gauge theory and related physical models", Corfu, Sep 18 - Sep 25, 2022

null

hep-th

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

In the 5-dimensional twisted $U(1)$-like gauge theory on $\kappa$-Minkowski, the one-loop one-point (tadpole) function was computed in arXiv:2107.14462. This article summarizes the construction of such a gauge theory and discusses the non-vanishing of the tadpole.

[ { "created": "Wed, 8 Feb 2023 11:16:51 GMT", "version": "v1" } ]

2023-03-06

[ [ "Hersent", "Kilian", "" ] ]

In the 5-dimensional twisted $U(1)$-like gauge theory on $\kappa$-Minkowski, the one-loop one-point (tadpole) function was computed in arXiv:2107.14462. This article summarizes the construction of such a gauge theory and discusses the non-vanishing of the tadpole.

11.557955

9.998617

10.687449

9.651279

10.333641

10.432256

10.63349

9.215939

9.219396

11.788778

10.225866

9.670278

10.040925

9.224743

9.833043

9.366776

9.725987

9.680762

9.556431

10.318328

9.684116

hep-th/9401060

null

Lev Rozansky

Witten's Invariant of 3-Dimensional Manifolds: Loop Expansion and Surgery Calculus

29 pages, "\draft" declaration has been removed

null

UTTG-12-93

hep-th math.QA

null

We review two different methods of calculating Witten's invariant: a stationary phase approximation and a surgery calculus. We give a detailed description of the 1-loop approximation formula for Witten's invariant and of the technics involved in deriving its exact value through a surgery construction of a manifold. Finally we compare the formulas produced by both methods for a 3-dimensional sphere S^3 and a lens space L(p,1).

[ { "created": "Fri, 14 Jan 1994 01:38:34 GMT", "version": "v1" }, { "created": "Fri, 14 Jan 1994 21:53:42 GMT", "version": "v2" } ]

2008-02-03

[ [ "Rozansky", "Lev", "" ] ]

We review two different methods of calculating Witten's invariant: a stationary phase approximation and a surgery calculus. We give a detailed description of the 1-loop approximation formula for Witten's invariant and of the technics involved in deriving its exact value through a surgery construction of a manifold. Finally we compare the formulas produced by both methods for a 3-dimensional sphere S^3 and a lens space L(p,1).

14.023509

13.467011

13.248481

13.31743

12.612889

12.624267

12.406913

12.983913

12.616967

14.18371

12.429569

12.824361

12.62959

12.811238

12.979327

12.156837

12.743724

12.520241

12.716385

13.422922

12.164462

hep-th/0210014

Bert Schellekens

N. Sousa and A.N. Schellekens

Orientation matters for NIMreps

34 pages, plain TeX + phyzzx; typos corrected,a few clarifications and references added

Nucl.Phys. B653 (2003) 339-368

10.1016/S0550-3213(02)01124-0

NIKHEF/02-009

hep-th

null

The problem of finding boundary states in CFT, often rephrased in terms of "NIMreps" of the fusion algebra, has a natural extension to CFT on non-orientable surfaces. This provides extra information that turns out to be quite useful to give the proper interpretation to a NIMrep. We illustrate this with several examples. This includes a rather detailed discussion of the interesting case of the simple current extension of A_2 level 9, which is already known to have a rich structure. This structure can be disentangled completely using orientation information. In particular we find here and in other cases examples of diagonal modular invariants that do not admit a NIMrep, suggesting that there does not exist a corresponding CFT. We obtain the complete set of NIMreps (plus Moebius and Klein bottle coefficients) for many exceptional modular invariants of WZW models, and find an explanation for the occurrence of more than one NIMrep in certain cases. We also (re)consider the underlying formalism, emphasizing the distinction between oriented and unoriented string annulus amplitudes, and the origin of orientation-dependent degeneracy matrices in the latter.

[ { "created": "Wed, 2 Oct 2002 15:21:50 GMT", "version": "v1" }, { "created": "Tue, 8 Oct 2002 14:04:35 GMT", "version": "v2" } ]

2010-04-05

[ [ "Sousa", "N.", "" ], [ "Schellekens", "A. N.", "" ] ]

The problem of finding boundary states in CFT, often rephrased in terms of "NIMreps" of the fusion algebra, has a natural extension to CFT on non-orientable surfaces. This provides extra information that turns out to be quite useful to give the proper interpretation to a NIMrep. We illustrate this with several examples. This includes a rather detailed discussion of the interesting case of the simple current extension of A_2 level 9, which is already known to have a rich structure. This structure can be disentangled completely using orientation information. In particular we find here and in other cases examples of diagonal modular invariants that do not admit a NIMrep, suggesting that there does not exist a corresponding CFT. We obtain the complete set of NIMreps (plus Moebius and Klein bottle coefficients) for many exceptional modular invariants of WZW models, and find an explanation for the occurrence of more than one NIMrep in certain cases. We also (re)consider the underlying formalism, emphasizing the distinction between oriented and unoriented string annulus amplitudes, and the origin of orientation-dependent degeneracy matrices in the latter.

11.695024

11.859812

12.697327

10.913493

12.260027

12.349598

11.352507

11.505499

10.470263

13.879165

11.460789

11.041434

11.909423

11.008246

10.74032

11.051124

10.824426

11.212432

11.009267

11.705672

10.91087

1808.04135

Shun'ya Mizoguchi

Shin Fukuchi, Naoto Kan, Shun'ya Mizoguchi and Hitomi Tashiro

A dessin on the base: a description of mutually non-local 7-branes without using branch cuts

27 pages, 9 figures. v3: Title changed, section 3 added to explain the notion of a "dessin d'enfant", sections 4,6 and 7 in v2 removed

Phys. Rev. D 100, 126025 (2019)

10.1103/PhysRevD.100.126025

KEK-TH-2069

hep-th

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

We consider the special roles of the zero loci of the Weierstrass invariants $g_2(\tau(z))$, $g_3(\tau(z))$ in F-theory on an elliptic fibration over $P^1$ or a further fibration thereof. They are defined as the zero loci of the coefficient functions $f(z)$ and $g(z)$ of a Weierstrass equation. They are thought of as complex co-dimension one objects and correspond to the two kinds of critical points of a dessin d'enfant of Grothendieck. The $P^1$ base is divided into several cell regions bounded by some domain walls extending from these planes and D-branes, on which the imaginary part of the $J$-function vanishes. This amounts to drawing a dessin with a canonical triangulation. We show that the dessin provides a new way of keeping track of mutual non-localness among 7-branes without employing unphysical branch cuts or their base point. With the dessin we can see that weak- and strong-coupling regions coexist and are located across an $S$-wall from each other. We also present a simple method for computing a monodromy matrix for an arbitrary path by tracing the walls it goes through.

[ { "created": "Mon, 13 Aug 2018 10:17:35 GMT", "version": "v1" }, { "created": "Tue, 28 May 2019 09:48:50 GMT", "version": "v2" }, { "created": "Mon, 21 Oct 2019 06:30:28 GMT", "version": "v3" } ]

2020-01-08

[ [ "Fukuchi", "Shin", "" ], [ "Kan", "Naoto", "" ], [ "Mizoguchi", "Shun'ya", "" ], [ "Tashiro", "Hitomi", "" ] ]

We consider the special roles of the zero loci of the Weierstrass invariants $g_2(\tau(z))$, $g_3(\tau(z))$ in F-theory on an elliptic fibration over $P^1$ or a further fibration thereof. They are defined as the zero loci of the coefficient functions $f(z)$ and $g(z)$ of a Weierstrass equation. They are thought of as complex co-dimension one objects and correspond to the two kinds of critical points of a dessin d'enfant of Grothendieck. The $P^1$ base is divided into several cell regions bounded by some domain walls extending from these planes and D-branes, on which the imaginary part of the $J$-function vanishes. This amounts to drawing a dessin with a canonical triangulation. We show that the dessin provides a new way of keeping track of mutual non-localness among 7-branes without employing unphysical branch cuts or their base point. With the dessin we can see that weak- and strong-coupling regions coexist and are located across an $S$-wall from each other. We also present a simple method for computing a monodromy matrix for an arbitrary path by tracing the walls it goes through.

12.15661

12.912891

12.841005

11.930551

12.344266

13.083576

12.605981

12.576327

12.13725

13.890731

11.521478

11.829989

11.543986

11.304868

11.434758

11.560595

11.978045

11.665958

11.64105

11.989563

11.421623

hep-th/9208009

null

Jonathan M. Evans and Philip A. Tuckey

A Geometrical Approach to Time-Dependent Gauge-Fixing

15 pages, OUTP-92-11P

Int.J.Mod.Phys. A8 (1993) 4055-4069

10.1142/S0217751X93001661

null

hep-th gr-qc

null

When a Hamiltonian system is subject to constraints which depend explicitly on time, difficulties can arise in attempting to reduce the system to its physical phase space. Specifically, it is non-trivial to restrict the system in such a way that one can find a Hamiltonian time-evolution equation involving the Dirac bracket. Using a geometrical formulation, we derive an explicit condition which is both necessary and sufficient for this to be possible, and we give a formula defining the resulting Hamiltonian function. Some previous results are recovered as special cases.

[ { "created": "Mon, 3 Aug 1992 13:15:00 GMT", "version": "v1" } ]

2015-06-26

[ [ "Evans", "Jonathan M.", "" ], [ "Tuckey", "Philip A.", "" ] ]

When a Hamiltonian system is subject to constraints which depend explicitly on time, difficulties can arise in attempting to reduce the system to its physical phase space. Specifically, it is non-trivial to restrict the system in such a way that one can find a Hamiltonian time-evolution equation involving the Dirac bracket. Using a geometrical formulation, we derive an explicit condition which is both necessary and sufficient for this to be possible, and we give a formula defining the resulting Hamiltonian function. Some previous results are recovered as special cases.

9.458003

8.327755

8.500319

7.923778

8.784596

9.066037

7.820078

8.022774

8.339511

8.881591

8.162784

7.930277

8.177172

8.10535

8.168982

8.124934

8.071917

8.217622

8.171558

8.079974

7.861526

hep-th/9108019

Igor Klebanov

Igor R. Klebanov

String Theory in Two Dimensions

76 pages, Phyzzx, lectures at the 1991 ICTP Spring School; v2: postscript figures included

null

PUPT-1271

hep-th

null

I review some of the recent progress in two-dimensional string theory, which is formulated as a sum over surfaces embedded in one dimension.

[ { "created": "Mon, 26 Aug 1991 15:55:27 GMT", "version": "v1" }, { "created": "Sun, 25 May 2003 23:14:09 GMT", "version": "v2" } ]

2008-02-03

[ [ "Klebanov", "Igor R.", "" ] ]

I review some of the recent progress in two-dimensional string theory, which is formulated as a sum over surfaces embedded in one dimension.

18.090725

10.72581

13.594742

11.278118

10.433765

12.069123

9.413776

10.713397

12.653321

14.952582

11.260899

10.472927

12.971466

11.185425

11.659318

10.648266

11.350723

9.151168

10.78771

10.067627

10.209941

hep-th/0503016

Miguel Vazquez-Mozo

Luis Alvarez-Gaume, Miguel A. Vazquez-Mozo

On nonanticommutative N=2 sigma-models in two dimensions

29 pages. Typos corrected and references added

JHEP 0504 (2005) 007

10.1088/1126-6708/2005/04/007

CERN-PH-TH/033-2005

hep-th

null

We study nonanticommutative deformations of N=2 two-dimensional Euclidean sigma models. We find that these theories are described by simple deformations of Zumino's Lagrangian and the holomorphic superpotential. Geometrically, this deformation can be interpreted as a fuzziness in target space controlled by the vacuum expectation value of the auxiliary field. In the case of nonanticommutative deformations preserving Euclidean invariance, we find that a continuation of the deformed supersymmetry algebra to Lorentzian signature leads to a rather intriguing central extension of the ordinary (2,2) superalgebra.

[ { "created": "Wed, 2 Mar 2005 14:00:53 GMT", "version": "v1" }, { "created": "Wed, 25 May 2005 13:22:48 GMT", "version": "v2" } ]

2009-11-11

[ [ "Alvarez-Gaume", "Luis", "" ], [ "Vazquez-Mozo", "Miguel A.", "" ] ]

We study nonanticommutative deformations of N=2 two-dimensional Euclidean sigma models. We find that these theories are described by simple deformations of Zumino's Lagrangian and the holomorphic superpotential. Geometrically, this deformation can be interpreted as a fuzziness in target space controlled by the vacuum expectation value of the auxiliary field. In the case of nonanticommutative deformations preserving Euclidean invariance, we find that a continuation of the deformed supersymmetry algebra to Lorentzian signature leads to a rather intriguing central extension of the ordinary (2,2) superalgebra.

8.040674

7.804566

9.902359

7.792442

8.273872

8.503533

8.770563

7.916493

7.66398

9.118784

7.480628

7.551246

8.305431

7.72924

7.485173

7.872052

7.693844

7.897115

7.824315

8.498148

7.777055

1904.12786

Jos\'e Manuel Izquierdo

Jos\'e A. de Azc\'arraga, Diego G\'utiez and Jos\'e M. Izquierdo

Extended $D=3$ Bargmann supergravity from a Lie algebra expansion

17 pages

null

10.1016/j.nuclphysb.2019.114706

null

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

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

In this paper we show how the method of Lie algebra expansions may be used to obtain, in a simple way, both the extended Bargmann Lie superalgebra and the Chern-Simons action associated to it in three dimensions, starting from $D=3$, $\mathcal{N}=2$ superPoincar\'e and its corresponding Chern-Simons supergravity.

[ { "created": "Mon, 29 Apr 2019 15:58:24 GMT", "version": "v1" }, { "created": "Fri, 26 Jul 2019 10:05:48 GMT", "version": "v2" } ]

2019-09-04

[ [ "de Azcárraga", "José A.", "" ], [ "Gútiez", "Diego", "" ], [ "Izquierdo", "José M.", "" ] ]

In this paper we show how the method of Lie algebra expansions may be used to obtain, in a simple way, both the extended Bargmann Lie superalgebra and the Chern-Simons action associated to it in three dimensions, starting from $D=3$, $\mathcal{N}=2$ superPoincar\'e and its corresponding Chern-Simons supergravity.

7.569637

5.775496

7.931949

5.978341

6.094432

5.970774

5.309978

5.252344

5.565515

8.096971

5.845591

6.321431

7.214502

6.19361

6.168162

6.653086

6.201976

6.092369

6.335566

7.311662

6.203064

1910.07019

Victoria Volkova

S. Mironov, V. Rubakov, V. Volkova

Subluminal cosmological bounce beyond Horndeski

24 pages, 12 figures. In v3: Major revision. A section on (the absence of) superluminality in the presence of additional matter added. Journal version, to appear in JCAP

null

10.1088/1475-7516/2020/05/024

null

hep-th gr-qc

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

We address the issue of potential superluminal propagation of gravitational waves in backgrounds neighboring the previously suggested bounce [arXiv:1807.08361] in beyond Horndeski theory. We find that the bouncing solution lies right at the boundary of the region where the gravitational waves propagate at speed exceeding that of light, i.e. that solution suffers superluminality problem. We suggest a novel version of a completely stable bouncing model where both scalar and tensor perturbations remain safely subluminal not only on the solution itself but also in its neighbourhood. The model remains free of superluminality when extra matter in the form of radiation or, more generally, ideal fluid with equation of state parameter $w\leq 1/3$ (and also somewhat higher) is added. Superluminality reappears when extra matter is added whose sound velocity is equal or close to 1 in flat space; an example is scalar field minimally coupled to metric. The latter property is characteristic of all beyond Horndeski cosmologies; we briefly discuss its significance.

[ { "created": "Tue, 15 Oct 2019 19:39:22 GMT", "version": "v1" }, { "created": "Fri, 25 Oct 2019 12:12:42 GMT", "version": "v2" }, { "created": "Sat, 25 Apr 2020 08:27:14 GMT", "version": "v3" } ]

2020-05-20

[ [ "Mironov", "S.", "" ], [ "Rubakov", "V.", "" ], [ "Volkova", "V.", "" ] ]

We address the issue of potential superluminal propagation of gravitational waves in backgrounds neighboring the previously suggested bounce [arXiv:1807.08361] in beyond Horndeski theory. We find that the bouncing solution lies right at the boundary of the region where the gravitational waves propagate at speed exceeding that of light, i.e. that solution suffers superluminality problem. We suggest a novel version of a completely stable bouncing model where both scalar and tensor perturbations remain safely subluminal not only on the solution itself but also in its neighbourhood. The model remains free of superluminality when extra matter in the form of radiation or, more generally, ideal fluid with equation of state parameter $w\leq 1/3$ (and also somewhat higher) is added. Superluminality reappears when extra matter is added whose sound velocity is equal or close to 1 in flat space; an example is scalar field minimally coupled to metric. The latter property is characteristic of all beyond Horndeski cosmologies; we briefly discuss its significance.

11.770512

12.90525

11.135881

11.510388

11.901505

11.85361

11.932127

11.55691

11.166006

12.035148

10.831225

11.013358

11.469905

11.249878

11.132801

11.183214

11.067893

10.919999

10.859406

10.954073

10.997065

1909.09027

Mohamed Anber

Mohamed M. Anber, Erich Poppitz

On the baryon-color-flavor (BCF) anomaly in vector-like theories

14 pages, typos corrected, matches the published version

null

10.1007/JHEP11(2019)063

null

hep-th hep-lat hep-ph

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

We consider the most general fractional background fluxes in the color, flavor, and baryon number directions, compatible with the faithful action of the global symmetry of a given theory. We call the obstruction to gauging symmetries revealed by such backgrounds the baryon-color-flavor (BCF) 't Hooft anomaly. We apply the BCF anomaly to vector-like theories, with fermions in higher-dimensional representations of arbitrary N-ality, and derive non-trivial constraints on their IR dynamics. In particular, this class of theories enjoys an independent discrete chiral symmetry and one may ask about the fate of this symmetry in the background of BCF fluxes. We show that, under certain conditions, an anomaly between the chiral symmetry and the BCF background rules out massless composite fermions as the sole player in the IR: either the composites do not form or additional contributions to the matching of the BCF anomaly are required. We can also give a flavor-symmetric mass to the fermions, smaller than or of order the strong scale of the theory, and examine the $\theta$-angle periodicity of the theory in the BCF background. Interestingly, we find that the conditions that rule out the composites are the exact same conditions that lead to an anomaly of the $\theta$ periodicity: the massive theory will experience a phase transition as we vary $\theta$ from $0$ to $2\pi$.

[ { "created": "Thu, 19 Sep 2019 14:52:33 GMT", "version": "v1" }, { "created": "Mon, 11 Nov 2019 11:02:22 GMT", "version": "v2" } ]

2020-01-08

[ [ "Anber", "Mohamed M.", "" ], [ "Poppitz", "Erich", "" ] ]

We consider the most general fractional background fluxes in the color, flavor, and baryon number directions, compatible with the faithful action of the global symmetry of a given theory. We call the obstruction to gauging symmetries revealed by such backgrounds the baryon-color-flavor (BCF) 't Hooft anomaly. We apply the BCF anomaly to vector-like theories, with fermions in higher-dimensional representations of arbitrary N-ality, and derive non-trivial constraints on their IR dynamics. In particular, this class of theories enjoys an independent discrete chiral symmetry and one may ask about the fate of this symmetry in the background of BCF fluxes. We show that, under certain conditions, an anomaly between the chiral symmetry and the BCF background rules out massless composite fermions as the sole player in the IR: either the composites do not form or additional contributions to the matching of the BCF anomaly are required. We can also give a flavor-symmetric mass to the fermions, smaller than or of order the strong scale of the theory, and examine the $\theta$-angle periodicity of the theory in the BCF background. Interestingly, we find that the conditions that rule out the composites are the exact same conditions that lead to an anomaly of the $\theta$ periodicity: the massive theory will experience a phase transition as we vary $\theta$ from $0$ to $2\pi$.

9.510459

9.632939

10.88525

9.214521

9.78472

10.460981

10.024172

9.915308

9.509544

11.634792

9.090933

9.795222

10.133434

9.454988

9.663401

9.81072

9.783676

9.800887

9.612516

9.887065

9.809075

hep-th/9111038

null

Michael D. McGuigan, Chiara R. Nappi and Scott A. Yost

Charged Black Holes in Two-Dimensional String Theory

39 pages

Nucl.Phys.B375:421-452,1992

10.1016/0550-3213(92)90039-E

null

hep-th

null

We discuss two dimensional string theories containing gauge fields introduced either via coupling to open strings, in which case we get a Born-Infeld type action, or via heterotic compactification. The solutions to the modified background field equations are charged black holes which exhibit interesting space-time geometries. We also compute their masses and charges.

[ { "created": "Wed, 20 Nov 1991 16:54:00 GMT", "version": "v1" } ]

2011-07-19

[ [ "McGuigan", "Michael D.", "" ], [ "Nappi", "Chiara R.", "" ], [ "Yost", "Scott A.", "" ] ]

We discuss two dimensional string theories containing gauge fields introduced either via coupling to open strings, in which case we get a Born-Infeld type action, or via heterotic compactification. The solutions to the modified background field equations are charged black holes which exhibit interesting space-time geometries. We also compute their masses and charges.

18.188267

14.595412

17.010246

14.530083

16.976059

14.338078

15.805893

15.082125

14.726058

17.458862

14.322827

15.962805

17.4088

16.437582

16.004776

16.493948

15.225863

15.806444

15.381981

17.026833

15.142689

hep-th/9506157

Yao-zhong Zhang

Takeo Inami, Satoru Odake and Yao-Zhong Zhang

Supersymmetric extension of the sine-Gordon theory with integrable boundary interactions

Latex 9 pages, submitted to Phys. Lett. B

Phys.Lett. B359 (1995) 118-124

10.1016/0370-2693(95)01072-X

Kyoto University and Shinshu University preprint YITP/K-1109, DPSU-95-2

hep-th cond-mat

null

Integrability and supersymmetry of the supersymmetric extension of the sine-Gordon theory on a half-line are examined and the boundary potential which preserves both the integrability and supersymmetry on the bulk is derived. It appears that unlike the boundary bosonic sine-Gordon theory, integrability and supersymmetry strongly restrict the form and parameters of the boundary potential, so that no free parameter in the boundary term is allowed up to a choice of signs.

[ { "created": "Fri, 23 Jun 1995 06:36:53 GMT", "version": "v1" } ]

2009-10-28

[ [ "Inami", "Takeo", "" ], [ "Odake", "Satoru", "" ], [ "Zhang", "Yao-Zhong", "" ] ]

Integrability and supersymmetry of the supersymmetric extension of the sine-Gordon theory on a half-line are examined and the boundary potential which preserves both the integrability and supersymmetry on the bulk is derived. It appears that unlike the boundary bosonic sine-Gordon theory, integrability and supersymmetry strongly restrict the form and parameters of the boundary potential, so that no free parameter in the boundary term is allowed up to a choice of signs.

9.132339

7.783592

9.421111

7.731089

7.66369

7.233134

7.508669

7.196709

7.075275

10.664996

7.631314

7.551752

8.660915

7.953655

7.832544

7.986117

7.679222

7.810953

7.917714

8.560663

7.921266

2404.07173

Seyed Morteza Hosseini

Edoardo Colombo, Seyed Morteza Hosseini, Dario Martelli, Antonio Pittelli, Alberto Zaffaroni

Microstates of accelerating and supersymmetric AdS$_4$ black holes from the spindle index

6 pages, v2: references added

Phys. Rev. Lett. 133, 031603 (2024)

10.1103/PhysRevLett.133.031603

null

hep-th

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

We provide a first principles derivation of the microscopic entropy of a very general class of supersymmetric, rotating and accelerating black holes in AdS$_4$. This is achieved by analysing the large-$N$ limit of the spindle index and completes the construction of the first example of a holographic duality involving supersymmetric field theories defined on orbifolds with conical singularities.

[ { "created": "Wed, 10 Apr 2024 17:12:45 GMT", "version": "v1" }, { "created": "Sun, 21 Jul 2024 17:41:20 GMT", "version": "v2" } ]

2024-07-23

[ [ "Colombo", "Edoardo", "" ], [ "Hosseini", "Seyed Morteza", "" ], [ "Martelli", "Dario", "" ], [ "Pittelli", "Antonio", "" ], [ "Zaffaroni", "Alberto", "" ] ]

We provide a first principles derivation of the microscopic entropy of a very general class of supersymmetric, rotating and accelerating black holes in AdS$_4$. This is achieved by analysing the large-$N$ limit of the spindle index and completes the construction of the first example of a holographic duality involving supersymmetric field theories defined on orbifolds with conical singularities.

11.139458

8.746566

11.719246

8.366456

8.4924

8.140176

7.995348

7.616561

8.447382

10.630534

8.247776

8.622981

10.543479

8.555909

8.765525

8.855509

8.850039

8.740148

8.699898

10.586252

8.692142

hep-th/9704101

Vincent G. J. Rodgers

S. James Gates, Jr and V.G.J. Rodgers

Type -B/ -O Bosonic String Sigma-Models

13 pages Latex, minor revisions including references

Phys.Lett. B405 (1997) 71-78

10.1016/S0370-2693(97)00620-5

null

hep-th

null

We provide world sheet non-supersymmetrical actions that describe the coupling of a bosonic string to the tachyon and massless states of both the type-B and type-O theories. The type-B theory is derived as a truncation and chiral doubling of the Ramond-Ramond sector in our previous model that connected the (1,0) heterotic string to a 10 D type IIB supergravity background. The type-O theory then follows from a ``fermionization'' of the type-B theory.

[ { "created": "Mon, 14 Apr 1997 05:11:04 GMT", "version": "v1" }, { "created": "Thu, 17 Apr 1997 21:35:03 GMT", "version": "v2" } ]

2012-08-27

[ [ "Gates,", "S. James", "Jr" ], [ "Rodgers", "V. G. J.", "" ] ]

We provide world sheet non-supersymmetrical actions that describe the coupling of a bosonic string to the tachyon and massless states of both the type-B and type-O theories. The type-B theory is derived as a truncation and chiral doubling of the Ramond-Ramond sector in our previous model that connected the (1,0) heterotic string to a 10 D type IIB supergravity background. The type-O theory then follows from a ``fermionization'' of the type-B theory.

12.894764

12.015886

14.329634

11.79315

12.632884

11.509456

11.873528

10.758988

10.950903

15.669566

11.672791

11.868399

12.433469

11.466503

11.837655

11.82794

11.460731

11.362036

11.427931

12.80863

11.365916

1007.5509

Pablo G. Camara

G. Aldazabal, E. Andres, P. G. Camara and M. Gra\~na

U-dual fluxes and Generalized Geometry

58 pages, 6 tables

JHEP 1011:083,2010

10.1007/JHEP11(2010)083

CERN-PH-TH-2010-172, IPhT-T10/093

hep-th

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

We perform a systematic analysis of generic string flux compactifications, making use of Exceptional Generalized Geometry (EGG) as an organizing principle. In particular, we establish the precise map between fluxes, gaugings of maximal 4d supergravity and EGG, identifying the complete set of gaugings that admit an uplift to 10d heterotic or type IIB supegravity backgrounds. Our results reveal a rich structure, involving new deformations of 10d supergravity backgrounds, such as the RR counterparts of the $\beta$-deformation. These new deformations are expected to provide the natural extension of the $\beta$-deformation to full-fledged F-theory backgrounds. Our analysis also provides some clues on the 10d origin of some of the particularly less understood gaugings of 4d supergravity. Finally, we derive the explicit expression for the effective superpotential in arbitrary N = 1 heterotic or type IIB orientifold compactifications, for all the allowed fluxes.

[ { "created": "Fri, 30 Jul 2010 18:09:04 GMT", "version": "v1" } ]

2010-11-23

[ [ "Aldazabal", "G.", "" ], [ "Andres", "E.", "" ], [ "Camara", "P. G.", "" ], [ "Graña", "M.", "" ] ]

We perform a systematic analysis of generic string flux compactifications, making use of Exceptional Generalized Geometry (EGG) as an organizing principle. In particular, we establish the precise map between fluxes, gaugings of maximal 4d supergravity and EGG, identifying the complete set of gaugings that admit an uplift to 10d heterotic or type IIB supegravity backgrounds. Our results reveal a rich structure, involving new deformations of 10d supergravity backgrounds, such as the RR counterparts of the $\beta$-deformation. These new deformations are expected to provide the natural extension of the $\beta$-deformation to full-fledged F-theory backgrounds. Our analysis also provides some clues on the 10d origin of some of the particularly less understood gaugings of 4d supergravity. Finally, we derive the explicit expression for the effective superpotential in arbitrary N = 1 heterotic or type IIB orientifold compactifications, for all the allowed fluxes.

7.680011

7.474548

8.081546

7.108493

7.348364

7.416036

7.213887

7.101737

6.95004

8.678948

7.133232

7.665123

7.697397

7.382676

7.315007

7.369169

7.496603

7.471527

7.22625

7.655121

7.308309

1601.04732

Mahdi Kord Zangeneh

M. Kord Zangeneh, A. Dehyadegari, A. Sheykhi and M. H. Dehghani

Thermodynamics and gauge/gravity duality for Lifshitz black holes in the presence of exponential electrodynamics

31 pages, 16 figures (some figures include two subfigures). V2: some typos corrected, some references added

JHEP 1603, 037 (2016)

10.1007/JHEP03(2016)037

null

hep-th

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

In this paper, we construct a new class of topological black hole Lifshitz solutions in the presence of nonlinear exponential electrodynamics for Einstein-dilaton gravity. We show that the reality of Lifshitz supporting Maxwell matter fields exclude the negative horizon curvature solutions except for the asymptotic AdS case. Calculating the conserved and thermodynamical quantities, we obtain a Smarr type formula for the mass and confirm that thermodynamics first law is satisfied on the black hole horizon. Afterward, we study the thermal stability of our solutions and figure out the effects of different parameters on the stability of solutions under thermal perturbations. Next, we apply the gauge/gravity duality in order to calculate the ratio of shear viscosity to entropy for a three-dimensional hydrodynamic system by using the pole method. Furthermore, we study the behavior of holographic conductivity for two-dimensional systems such as graphene. We consider linear Maxwell and nonlinear exponential electrodynamics separately and disclose the effect of nonlinearity on holographic conductivity. We indicate that holographic conductivity vanishes for $z>3$ in the case of nonlinear electrodynamics while it does not in the linear Maxwell case. Finally, we solve perturbative additional field equations numerically and plot the behaviors of real and imaginary parts of conductivity for asymptotic AdS and Lifshitz cases. We present experimental results match with our numerical ones.

[ { "created": "Mon, 18 Jan 2016 21:43:37 GMT", "version": "v1" }, { "created": "Mon, 14 Mar 2016 01:29:50 GMT", "version": "v2" } ]

2016-03-15

[ [ "Zangeneh", "M. Kord", "" ], [ "Dehyadegari", "A.", "" ], [ "Sheykhi", "A.", "" ], [ "Dehghani", "M. H.", "" ] ]

In this paper, we construct a new class of topological black hole Lifshitz solutions in the presence of nonlinear exponential electrodynamics for Einstein-dilaton gravity. We show that the reality of Lifshitz supporting Maxwell matter fields exclude the negative horizon curvature solutions except for the asymptotic AdS case. Calculating the conserved and thermodynamical quantities, we obtain a Smarr type formula for the mass and confirm that thermodynamics first law is satisfied on the black hole horizon. Afterward, we study the thermal stability of our solutions and figure out the effects of different parameters on the stability of solutions under thermal perturbations. Next, we apply the gauge/gravity duality in order to calculate the ratio of shear viscosity to entropy for a three-dimensional hydrodynamic system by using the pole method. Furthermore, we study the behavior of holographic conductivity for two-dimensional systems such as graphene. We consider linear Maxwell and nonlinear exponential electrodynamics separately and disclose the effect of nonlinearity on holographic conductivity. We indicate that holographic conductivity vanishes for $z>3$ in the case of nonlinear electrodynamics while it does not in the linear Maxwell case. Finally, we solve perturbative additional field equations numerically and plot the behaviors of real and imaginary parts of conductivity for asymptotic AdS and Lifshitz cases. We present experimental results match with our numerical ones.

8.474648

8.13109

8.624375

7.583659

8.431629

7.724607

8.318075

8.087255

7.920962

8.934319

8.047977

8.499143

8.131957

8.11171

8.242412

8.162564

8.327157

7.998572

7.947375

8.327544

8.086937

hep-th/0410160

Hans Peter Nilles

Five golden rules for superstring phenomenology

Based on talks given at the conference on ``String Phenomenology 2004, Ann Arbor, and ``Pascos04-NathFest Symposium'', Boston, August 2004

null

10.1142/9789812701756_0094

null

hep-th hep-ph

null

Recent measurements of the values of gauge coupling constants as well as neutrino properties support the idea of a grand unified (GUT) description of particle physics at a large scale of $M_{GUT}\sim 10^{16}$ GeV. We discuss a strategy to incorporate this picture in the framework of superstring theory. In such a scheme successful predictions of GUTs can be realized while some of the more problematic aspects of grand unification might be avoided. The most promising models are expected in the framework of the heterotic $E_8\times E_8$ string theory.

[ { "created": "Thu, 14 Oct 2004 07:37:04 GMT", "version": "v1" } ]

2015-06-26

[ [ "Nilles", "Hans Peter", "" ] ]

Recent measurements of the values of gauge coupling constants as well as neutrino properties support the idea of a grand unified (GUT) description of particle physics at a large scale of $M_{GUT}\sim 10^{16}$ GeV. We discuss a strategy to incorporate this picture in the framework of superstring theory. In such a scheme successful predictions of GUTs can be realized while some of the more problematic aspects of grand unification might be avoided. The most promising models are expected in the framework of the heterotic $E_8\times E_8$ string theory.

7.183301

7.568972

6.884517

6.357296

7.702155

7.268842

6.788455

7.011233

6.956712

7.628246

6.905345

6.74207

6.670883

6.678816

6.8969

6.763669

6.785261

6.795223

6.639927

6.721016

6.930149

0704.0296

Itzhak Bars

Itzhak Bars and Bora Orcal

Generalized Twistor Transform And Dualities, With A New Description of Particles With Spin, Beyond Free and Massless

33 pages

Phys.Rev.D75:104015,2007

10.1103/PhysRevD.75.104015

USC-07/HEP-B3

hep-th

null

A generalized twistor transform for spinning particles in 3+1 dimensions is constructed that beautifully unifies many types of spinning systems by mapping them to the same twistor, thus predicting an infinite set of duality relations among spinning systems with different Hamiltonians. Usual 1T-physics is not equipped to explain the duality relationships and unification between these systems. We use 2T-physics in 4+2 dimensions to uncover new properties of twistors, and expect that our approach will prove to be useful for practical applications as well as for a deeper understanding of fundamental physics. Unexpected structures for a new description of spinning particles emerge. A unifying symmetry SU(2,3) that includes conformal symmetry SU(2,2)=SO(4,2) in the massless case, turns out to be a fundamental property underlying the dualities of a large set of spinning systems, including those that occur in high spin theories. This may lead to new forms of string theory backgrounds as well as to new methods for studying various corners of M theory. In this paper we present the main concepts, and in a companion paper we give other details.

[ { "created": "Tue, 3 Apr 2007 01:01:13 GMT", "version": "v1" }, { "created": "Thu, 12 Apr 2007 13:56:25 GMT", "version": "v2" } ]

2008-11-26

[ [ "Bars", "Itzhak", "" ], [ "Orcal", "Bora", "" ] ]

A generalized twistor transform for spinning particles in 3+1 dimensions is constructed that beautifully unifies many types of spinning systems by mapping them to the same twistor, thus predicting an infinite set of duality relations among spinning systems with different Hamiltonians. Usual 1T-physics is not equipped to explain the duality relationships and unification between these systems. We use 2T-physics in 4+2 dimensions to uncover new properties of twistors, and expect that our approach will prove to be useful for practical applications as well as for a deeper understanding of fundamental physics. Unexpected structures for a new description of spinning particles emerge. A unifying symmetry SU(2,3) that includes conformal symmetry SU(2,2)=SO(4,2) in the massless case, turns out to be a fundamental property underlying the dualities of a large set of spinning systems, including those that occur in high spin theories. This may lead to new forms of string theory backgrounds as well as to new methods for studying various corners of M theory. In this paper we present the main concepts, and in a companion paper we give other details.

13.300352

12.003469

14.176674

12.515418

13.366123

13.489689

13.068273

13.662164

12.50166

14.416531

12.641909

12.550953

13.356127

12.536631

12.985162

12.731644

12.642111

12.393874

12.235585

13.533371

12.638331

hep-th/0605037

John Gracey

J. A. Gracey

Practicalities of renormalizing quantum field theories

24 latex pages, talk presented at Renormalization and Universality in Mathematical Physics Workshop, Toronto, 18-22 Oct, 2005

null

LTH-701

hep-th

null

We review the techniques used to renormalize quantum field theories at several loop orders. This includes the techniques to systematically extract the infinities in a Feynman integral and the implementation of the algorithm within computer algebra. To illustrate the method we discuss the renormalization of phi^4 theory and QCD including the application of the critical point large $N$ technique as a check on the anomalous dimensions. The renormalization of non-local operators in QCD is also discussed including the derivation of the two loop correction to the Gribov mass gap equation in the Landau gauge.

[ { "created": "Wed, 3 May 2006 10:30:11 GMT", "version": "v1" } ]

2007-05-23

[ [ "Gracey", "J. A.", "" ] ]

We review the techniques used to renormalize quantum field theories at several loop orders. This includes the techniques to systematically extract the infinities in a Feynman integral and the implementation of the algorithm within computer algebra. To illustrate the method we discuss the renormalization of phi^4 theory and QCD including the application of the critical point large $N$ technique as a check on the anomalous dimensions. The renormalization of non-local operators in QCD is also discussed including the derivation of the two loop correction to the Gribov mass gap equation in the Landau gauge.

9.768826

8.41232

9.016889

9.132834

8.457014

9.201035

8.140808

9.72721

8.992109

9.785099

8.684965

8.663357

9.08827

8.617962

8.657519

8.451378

8.556475

9.134512

8.923455

9.43328

8.674224

1804.05396

Alessandro Pini

Thomas Bourton, Alessandro Pini and Elli Pomoni

4d $\mathcal{N}=3$ indices via discrete gauging

34 pages

null

10.1007/JHEP10(2018)131

null

hep-th

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

A class of 4d $\mathcal{N}=3$ SCFTs can be obtained from gauging a discrete subgroup of the global symmetry group of $\mathcal{N}=4$ Super Yang-Mills theory. This discrete subgroup contains elements of both the $SU(4)$ R-symmetry group and the $SL(2,\mathbb{Z})$ S-duality group of $\mathcal{N}=4$ SYM. We give a prescription for how to perform the discrete gauging at the level of the superconformal index and Higgs branch Hilbert series. We interpret and match the information encoded in these indices to known results for rank one $\mathcal{N}=3$ theories. Our prescription is easily generalised for the Coloumb branch and the Higgs branch indices of higher rank theories, allowing us to make new predictions for these theories. Most strikingly we find that the Coulomb branches of higher rank theories are generically not-freely generated.

[ { "created": "Sun, 15 Apr 2018 18:00:01 GMT", "version": "v1" }, { "created": "Thu, 10 Dec 2020 07:45:37 GMT", "version": "v2" } ]

2020-12-11

[ [ "Bourton", "Thomas", "" ], [ "Pini", "Alessandro", "" ], [ "Pomoni", "Elli", "" ] ]

A class of 4d $\mathcal{N}=3$ SCFTs can be obtained from gauging a discrete subgroup of the global symmetry group of $\mathcal{N}=4$ Super Yang-Mills theory. This discrete subgroup contains elements of both the $SU(4)$ R-symmetry group and the $SL(2,\mathbb{Z})$ S-duality group of $\mathcal{N}=4$ SYM. We give a prescription for how to perform the discrete gauging at the level of the superconformal index and Higgs branch Hilbert series. We interpret and match the information encoded in these indices to known results for rank one $\mathcal{N}=3$ theories. Our prescription is easily generalised for the Coloumb branch and the Higgs branch indices of higher rank theories, allowing us to make new predictions for these theories. Most strikingly we find that the Coulomb branches of higher rank theories are generically not-freely generated.

5.004683

4.398913

5.415349

4.456847

4.688301

4.849029

4.562378

4.404589

4.522642

5.951497

4.521618

4.51869

5.113625

4.458917

4.594758

4.523788

4.567971

4.747284

4.495868

5.068091

4.601388

0905.0957

Yun Soo Myung

Thermodynamics of black holes in the deformed Ho\v{r}ava-Lifshitz gravity

10 pages, 3 figures, final version to appear in PLB

null

10.1016/j.physletb.2009.06.013

null

hep-th

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

We study thermodynamics of black holes in the deformed Ho\v{r}ava-Lifshitz gravity with coupling constant $\lambda$. For $\lambda=1$, the black hole behaves the Reissner-Norstr\"om black hole. Hence, this is different from the Schwarzschild black hole of Einstein gravity. A connection to the generalized uncertainty principle is explored to understand the Ho\v{r}ava-Lifshitz black holes.

[ { "created": "Thu, 7 May 2009 07:21:22 GMT", "version": "v1" }, { "created": "Wed, 10 Jun 2009 03:00:50 GMT", "version": "v2" } ]

2015-05-13

[ [ "Myung", "Yun Soo", "" ] ]

We study thermodynamics of black holes in the deformed Ho\v{r}ava-Lifshitz gravity with coupling constant $\lambda$. For $\lambda=1$, the black hole behaves the Reissner-Norstr\"om black hole. Hence, this is different from the Schwarzschild black hole of Einstein gravity. A connection to the generalized uncertainty principle is explored to understand the Ho\v{r}ava-Lifshitz black holes.

6.317796

5.264405

5.117296

4.676854

5.115116

5.019656

5.726294

4.6396

4.979702

5.170695

5.615936

5.516411

5.362164

5.244331

5.600028

5.552017

5.473832

5.117103

5.561423

5.21741

5.53485

1811.06228

Bengt E. W. Nilsson

B.E.W. Nilsson, A. Padellaro and C.N. Pope

The role of singletons in $S^7$ compactifications

24 pages including appendix with 12 figure, v2 minor typos corrected

null

10.1007/JHEP07(2019)124

null

hep-th

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

We derive the isometry irrep content of squashed seven-sphere compactifications of eleven-dimensional supergravity, i.e., the left-squashed ($LS^7$) with ${\mathcal N}=1$ and right-squashed ($RS^7$) with ${\mathcal N}=0$ supersymmetry, in a manner completely independent of the round sphere. Then we compare this result with the spectrum obtained by Higgsing the round sphere spectrum. This way we discover features of the spectra which makes it possible to argue that the only way the round spectrum can be related by a Higgs mechanism to the one of $LS^7$ is if the singletons are included in the round sphere spectrum. For this to work also in the $RS^7$ case it seems that the gravitino of the $LS^7$ spectrum must be replaced by a fermionic singleton present in the $RS^7$ spectrum.

[ { "created": "Thu, 15 Nov 2018 08:27:04 GMT", "version": "v1" }, { "created": "Mon, 25 Feb 2019 13:46:54 GMT", "version": "v2" } ]

2019-09-04

[ [ "Nilsson", "B. E. W.", "" ], [ "Padellaro", "A.", "" ], [ "Pope", "C. N.", "" ] ]

We derive the isometry irrep content of squashed seven-sphere compactifications of eleven-dimensional supergravity, i.e., the left-squashed ($LS^7$) with ${\mathcal N}=1$ and right-squashed ($RS^7$) with ${\mathcal N}=0$ supersymmetry, in a manner completely independent of the round sphere. Then we compare this result with the spectrum obtained by Higgsing the round sphere spectrum. This way we discover features of the spectra which makes it possible to argue that the only way the round spectrum can be related by a Higgs mechanism to the one of $LS^7$ is if the singletons are included in the round sphere spectrum. For this to work also in the $RS^7$ case it seems that the gravitino of the $LS^7$ spectrum must be replaced by a fermionic singleton present in the $RS^7$ spectrum.

7.091109

6.646304

7.753413

6.721636

6.963146

7.229918

6.84364

6.799962

6.399355

8.570348

6.785567

6.716776

7.16583

6.702687

6.737806

6.58722

6.887731

6.851465

6.787793

6.8118

6.661421

hep-th/0108092

Ysmyung

Y. S. Myung (Inje Univ)

Quintessence with a localized scalar field on the brane

12page, version to appear in MPLA

Mod.Phys.Lett. A16 (2001) 1963-1972

10.1142/S0217732301005308

INJE-TP-01-07

hep-th

null

We study issues of the quintessence in the brane cosmology. The initial bulk spacetime consists of two 5D topological anti de Sitter black hole joined by the brane (moving domain wall). Here we do not introduce any conventional radiation and matter. Instead we include a localized scalar on the brane as a stress-energy tensor, and thus we find the quintessence which gives an accelerating universe. Importantly, we obtain a $\rho^2$-term as well as a holographic matter term of $\alpha/a^4$ from the masses of the topological black holes. We discuss a possibility that in the early universe, $\rho^2$-term makes a large kinetic term which induces a decelerating universe. This may provide a hint of avoiding from the perpetually accelerating universe of the present-day quintessence. If a holographic matter term exists, it will plays the role of a CFT-radiation in the early universe.

[ { "created": "Tue, 14 Aug 2001 02:32:23 GMT", "version": "v1" }, { "created": "Tue, 4 Sep 2001 02:10:55 GMT", "version": "v2" }, { "created": "Tue, 9 Oct 2001 07:18:47 GMT", "version": "v3" } ]

2009-11-07

[ [ "Myung", "Y. S.", "", "Inje Univ" ] ]

We study issues of the quintessence in the brane cosmology. The initial bulk spacetime consists of two 5D topological anti de Sitter black hole joined by the brane (moving domain wall). Here we do not introduce any conventional radiation and matter. Instead we include a localized scalar on the brane as a stress-energy tensor, and thus we find the quintessence which gives an accelerating universe. Importantly, we obtain a $\rho^2$-term as well as a holographic matter term of $\alpha/a^4$ from the masses of the topological black holes. We discuss a possibility that in the early universe, $\rho^2$-term makes a large kinetic term which induces a decelerating universe. This may provide a hint of avoiding from the perpetually accelerating universe of the present-day quintessence. If a holographic matter term exists, it will plays the role of a CFT-radiation in the early universe.

14.446341

14.954687

14.22388

13.686997

14.138616

13.406182

14.175773

12.976604

13.730772

15.735892

12.917337

13.779488

14.292978

13.540484

13.793415

13.96989

13.484065

14.001046

13.863638

14.172143

13.669644

0804.4096

Gabor Takacs

G. Takacs

Finite temperature expectation values of boundary operators

26 pages, 4 eps figures, latex2e file. v2: A formula added, some typos are corrected

Nucl.Phys.B805:391-417,2008

10.1016/j.nuclphysb.2008.06.014

ITP-Budapest Report No. 639

hep-th cond-mat.other

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

A conjecture is presented for the thermal one-point function of boundary operators in integrable boundary quantum field theories in terms of form factors. It is expected to have applications in studying boundary critical phenomena and boundary flows, which are relevant in the context of condensed matter and string theory. The conjectured formula is verified by a low-temperature expansion developed using finite size techniques, which can also be used to evaluate higher point functions both in the bulk and on the boundary.

[ { "created": "Fri, 25 Apr 2008 12:05:58 GMT", "version": "v1" }, { "created": "Mon, 30 Jun 2008 06:24:06 GMT", "version": "v2" } ]

2008-11-26

[ [ "Takacs", "G.", "" ] ]

A conjecture is presented for the thermal one-point function of boundary operators in integrable boundary quantum field theories in terms of form factors. It is expected to have applications in studying boundary critical phenomena and boundary flows, which are relevant in the context of condensed matter and string theory. The conjectured formula is verified by a low-temperature expansion developed using finite size techniques, which can also be used to evaluate higher point functions both in the bulk and on the boundary.

10.418021

8.738418

10.160012

8.20644

7.662475

8.306149

8.5611

8.656233

7.804924

11.650493

8.649341

8.02835

10.037878

8.379865

7.977707

8.273961

8.166516

8.146629

8.211117

9.855467

8.432016

1405.2325

Falk Hassler

Falk Hassler and Dieter Lust and Stefano Massai

On Inflation and de Sitter in Non-Geometric String Backgrounds

21 pages, 2 figures, references added, typos corrected, note added

null

LMU-ASC 35/14, MPP-2014-222

hep-th

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

We study the problem of obtaining de Sitter and inflationary vacua from dimensional reduction of double field theory (DFT) on nongeometric string backgrounds. In this context, we consider a new class of effective potentials that admit Minkowski and de Sitter minima. We then construct a simple model of chaotic inflation arising from T-fold backgrounds and we discuss the possibility of trans-Planckian field range from nongeometric monodromies as well as the conditions required to get slow roll.

[ { "created": "Fri, 9 May 2014 19:30:40 GMT", "version": "v1" }, { "created": "Wed, 4 Jun 2014 18:55:34 GMT", "version": "v2" }, { "created": "Wed, 4 May 2016 19:49:47 GMT", "version": "v3" } ]

2016-05-05

[ [ "Hassler", "Falk", "" ], [ "Lust", "Dieter", "" ], [ "Massai", "Stefano", "" ] ]

We study the problem of obtaining de Sitter and inflationary vacua from dimensional reduction of double field theory (DFT) on nongeometric string backgrounds. In this context, we consider a new class of effective potentials that admit Minkowski and de Sitter minima. We then construct a simple model of chaotic inflation arising from T-fold backgrounds and we discuss the possibility of trans-Planckian field range from nongeometric monodromies as well as the conditions required to get slow roll.

9.751244

8.550698

12.012718

8.327425

8.966003

9.125347

8.793326

9.265357

8.215427

10.939727

8.768471

9.032955

9.739487

9.061966

9.082575

9.437151

9.262232

9.443679

8.8188

10.032296

9.096022