LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

2002.01190

Michael Thies

First-order phase boundaries of the massive 1+1 dimensional Nambu--Jona-Lasinio model with isospin

13 pages, 2 tables, 6 figures; v2: typos corrected

Phys. Rev. D 101, 074013 (2020)

10.1103/PhysRevD.101.074013

null

hep-th hep-lat hep-ph

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

The massive two-dimensional Nambu--Jona-Lasinio model with isospin (isoNJL) is reconsidered in the large $N_c$ limit. We continue the exploration of its phase diagram by constructing missing first-order phase boundaries. At zero temperature, a phase boundary in the plane of baryon and isospin chemical potentials separates the vacuum from a crystal phase. We derive it from the baryon spectrum of the isoNJL model which, in turn, is obtained via a numerical Hartree-Fock (HF) calculation. At finite temperature, a first-order phase boundary sheet is found using a thermal HF calculation. It interpolates smoothly between the zero temperature phase boundary and the perturbative sheet. The calculations remain tractable owing to the assumption that the charged pion condensate vanishes. In that case, most of the calculations can be done with methods developed in the past for solving the massive one-flavor NJL model.

[ { "created": "Tue, 4 Feb 2020 09:38:47 GMT", "version": "v1" }, { "created": "Mon, 24 Feb 2020 16:27:02 GMT", "version": "v2" } ]

2020-04-15

[ [ "Thies", "Michael", "" ] ]

The massive two-dimensional Nambu--Jona-Lasinio model with isospin (isoNJL) is reconsidered in the large $N_c$ limit. We continue the exploration of its phase diagram by constructing missing first-order phase boundaries. At zero temperature, a phase boundary in the plane of baryon and isospin chemical potentials separates the vacuum from a crystal phase. We derive it from the baryon spectrum of the isoNJL model which, in turn, is obtained via a numerical Hartree-Fock (HF) calculation. At finite temperature, a first-order phase boundary sheet is found using a thermal HF calculation. It interpolates smoothly between the zero temperature phase boundary and the perturbative sheet. The calculations remain tractable owing to the assumption that the charged pion condensate vanishes. In that case, most of the calculations can be done with methods developed in the past for solving the massive one-flavor NJL model.

8.611755

8.135403

8.950207

8.01722

7.832959

8.205381

8.759885

8.314873

8.050769

9.071207

7.965276

8.088686

7.965753

7.893794

8.023713

7.76931

7.928697

8.098704

7.879317

7.80776

8.012788

1302.1277

Sang-Jin Sin

Eunseok Oh, Sang-Jin Sin (Hanyang Univ.)

Non-spherical collapse in AdS and Early Thermalization in RHIC

9 pages. 9 figures, reference added

null

10.1016/j.physletb.2013.08.040

null

hep-th cond-mat.stat-mech nucl-th

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

In the flat space, non-spherical shells collapse to give globular cluster after many oscillations. We show that in anti de sitter space, they form black holes in one dynamical time. We propose that this is the mechanism of early thermalization in strong quark-gluon plasma in gravity dual. This is traced back to the a remarkable property of AdS : the period in radial motion is amplitude independent in spite of the NON-linearity of the equation of motion. We investigate the interaction effect numerically and observe the same qualitative behavior for the attractive forces. For repulsive interactions, particles halt at a small but finite radius for long time due to the specific structure of the bulk AdS propagator. It helps hair creation in the AdS black hole.

[ { "created": "Wed, 6 Feb 2013 07:14:06 GMT", "version": "v1" }, { "created": "Thu, 28 Feb 2013 15:14:58 GMT", "version": "v2" }, { "created": "Wed, 18 Sep 2013 10:01:36 GMT", "version": "v3" } ]

2015-06-12

[ [ "Oh", "Eunseok", "", "Hanyang Univ." ], [ "Sin", "Sang-Jin", "", "Hanyang Univ." ] ]

In the flat space, non-spherical shells collapse to give globular cluster after many oscillations. We show that in anti de sitter space, they form black holes in one dynamical time. We propose that this is the mechanism of early thermalization in strong quark-gluon plasma in gravity dual. This is traced back to the a remarkable property of AdS : the period in radial motion is amplitude independent in spite of the NON-linearity of the equation of motion. We investigate the interaction effect numerically and observe the same qualitative behavior for the attractive forces. For repulsive interactions, particles halt at a small but finite radius for long time due to the specific structure of the bulk AdS propagator. It helps hair creation in the AdS black hole.

22.249897

25.247614

23.120169

21.681599

23.034458

22.018944

22.290346

21.633867

23.126442

23.402533

22.013596

22.358927

22.226536

21.168804

21.017473

21.738853

21.921232

20.880764

22.120399

21.895456

21.057302

1602.00936

Henri Epstein

Trees

minor corrections, references added, no change in results

null

10.1016/j.nuclphysb.2016.04.029

null

hep-th math-ph math.MP

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

An algebraic formalism, developped with V. Glaser and R. Stora for the study of the generalized retarded functions of quantum field theory, is used to prove a factorization theorem which provides a complete description of the generalized retarded functions associated with any tree graph. Integrating over the variables associated to internal vertices to obtain the perturbative generalized retarded functions for interacting fields arising from such graphs is shown to be possible for a large category of space-times.

[ { "created": "Tue, 2 Feb 2016 14:16:25 GMT", "version": "v1" }, { "created": "Sat, 16 Apr 2016 13:03:16 GMT", "version": "v2" } ]

2016-04-27

[ [ "Epstein", "Henri", "" ] ]

An algebraic formalism, developped with V. Glaser and R. Stora for the study of the generalized retarded functions of quantum field theory, is used to prove a factorization theorem which provides a complete description of the generalized retarded functions associated with any tree graph. Integrating over the variables associated to internal vertices to obtain the perturbative generalized retarded functions for interacting fields arising from such graphs is shown to be possible for a large category of space-times.

12.609273

13.861678

13.252243

12.448267

15.641804

13.433949

13.298789

13.068656

13.240835

11.332015

12.842961

11.417014

11.349909

12.093968

11.238852

12.017999

11.293855

11.467072

11.256161

11.460703

11.449984

0910.5239

Helmuth Huffel

Alexander Gluck, Helmuth Huffel, Sasa Ilijic, and Gerald Kelnhofer

The Active Universe

5 pages, 1 figure

Int.J.Bifurc.Chaos ,2011

10.1142/S0218127411029616

null

hep-th gr-qc

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

Active motion is a concept in complex systems theory and was successfully applied to various problems in nonlinear dynamics. Explicit studies for gravitational potentials were missing so far. We interpret the Friedmann equations with cosmological constant as a dynamical system, which can be made active in a straightforward way. These active Friedmann equations lead to a cyclic universe, which is shown numerically.

[ { "created": "Wed, 28 Oct 2009 14:56:38 GMT", "version": "v1" } ]

2011-08-11

[ [ "Gluck", "Alexander", "" ], [ "Huffel", "Helmuth", "" ], [ "Ilijic", "Sasa", "" ], [ "Kelnhofer", "Gerald", "" ] ]

Active motion is a concept in complex systems theory and was successfully applied to various problems in nonlinear dynamics. Explicit studies for gravitational potentials were missing so far. We interpret the Friedmann equations with cosmological constant as a dynamical system, which can be made active in a straightforward way. These active Friedmann equations lead to a cyclic universe, which is shown numerically.

16.595303

17.513996

17.033756

16.06147

16.426876

15.308886

18.958868

16.16905

17.313089

16.018488

14.239271

15.180083

15.100487

14.846306

14.948754

14.867956

14.767764

14.419515

14.32213

15.510553

14.925243

0804.0553

Mohammad Reza Setare

J. Sadeghi, M. R. Setare, A. Banijamali, F. Milani

Non-minimally Coupled Quintom Model Inspired by String Theory

8 pages, 2 figures

Phys.Lett.B662:92-96,2008

10.1016/j.physletb.2008.02.062

null

hep-th

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

In this paper we consider a quintom model of dark energy with a single scalar field $T$ given by a Lagrangian which inspired by tachyonic Lagrangian in string theory. We consider non-minimal coupling of tachyon field to the scalar curvature, then we obtain the equation of state (EoS), and the condition required for the model parameters when $\omega$ crosses over -1.

[ { "created": "Thu, 3 Apr 2008 13:30:31 GMT", "version": "v1" } ]

2010-10-27

[ [ "Sadeghi", "J.", "" ], [ "Setare", "M. R.", "" ], [ "Banijamali", "A.", "" ], [ "Milani", "F.", "" ] ]

In this paper we consider a quintom model of dark energy with a single scalar field $T$ given by a Lagrangian which inspired by tachyonic Lagrangian in string theory. We consider non-minimal coupling of tachyon field to the scalar curvature, then we obtain the equation of state (EoS), and the condition required for the model parameters when $\omega$ crosses over -1.

9.821932

6.88924

8.07628

6.99245

9.343284

9.616819

8.621045

6.926002

7.468189

8.146428

7.326972

7.746298

8.036355

7.863945

7.943472

8.135248

8.017492

7.590235

7.648734

8.04716

7.990204

0706.1577

Jose Juan Blanco-Pillado

Jose J. Blanco-Pillado, Ken D. Olum and Alexander Vilenkin

Cosmic string formation by flux trapping

16 pages and 9 figures. (Minor changes and new references added)

Phys.Rev.D76:103520,2007

10.1103/PhysRevD.76.103520

null

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

null

We study the formation of cosmic strings by confining a stochastic magnetic field into flux tubes in a numerical simulation. We use overdamped evolution in a potential that is minimized when the flux through each face in the simulation lattice is a multiple of the fundamental flux quantum. When the typical number of flux quanta through a correlation-length-sized region is initially about 1, we find a string network similar to that generated by the Kibble-Zurek mechanism. With larger initial flux, the loop distribution and the Brownian shape of the infinite strings remain unchanged, but the fraction of length in infinite strings is increased. A 2D slice of the network exhibits bundles of strings pointing in the same direction, as in earlier 2D simulations. We find, however, that strings belonging to the same bundle do not stay together in 3D for much longer than the correlation length. As the initial flux per correlation length is decreased, there is a point at which infinite strings disappear, as in the Hagedorn transition.

[ { "created": "Mon, 11 Jun 2007 22:40:08 GMT", "version": "v1" }, { "created": "Wed, 1 Aug 2007 18:43:35 GMT", "version": "v2" } ]

2008-11-26

[ [ "Blanco-Pillado", "Jose J.", "" ], [ "Olum", "Ken D.", "" ], [ "Vilenkin", "Alexander", "" ] ]

We study the formation of cosmic strings by confining a stochastic magnetic field into flux tubes in a numerical simulation. We use overdamped evolution in a potential that is minimized when the flux through each face in the simulation lattice is a multiple of the fundamental flux quantum. When the typical number of flux quanta through a correlation-length-sized region is initially about 1, we find a string network similar to that generated by the Kibble-Zurek mechanism. With larger initial flux, the loop distribution and the Brownian shape of the infinite strings remain unchanged, but the fraction of length in infinite strings is increased. A 2D slice of the network exhibits bundles of strings pointing in the same direction, as in earlier 2D simulations. We find, however, that strings belonging to the same bundle do not stay together in 3D for much longer than the correlation length. As the initial flux per correlation length is decreased, there is a point at which infinite strings disappear, as in the Hagedorn transition.

9.51985

10.392831

10.36753

10.010945

9.695578

10.284859

10.038441

10.205001

9.55019

10.838083

9.173967

9.59765

9.369403

9.488896

9.903375

9.23845

9.606594

9.09237

9.498005

9.85136

8.955191

2306.11402

Vahram Parazian V

V. V. Parazian

Fermionic condensate and the vacuum energy-momentum tensor for planar fermions in homogeneous electric and magnetic fields

14 pages, 4 figures, discussion, figure and references added

Phys. Lett. A 510 (2024) 129544

null

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

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

We consider a massive fermionic quantum field localized on a plane in external constant and homogeneous electric and magnetic fields. The magnetic field is perpendicular to the plane and the electric field is parallel. The complete set of solutions to the Dirac equation is presented. As important physical characteristics of the vacuum state, the fermion condensate and the expectation value of the energy-momentum tensor are investigated. The renormalization is performed using the Hurwitz function. The results are compared with those previously studied in the case of zero electric field. We discuss the behavior of the vacuum expectation values in different regions for the values of the problem parameters. Applications of the results include the electronic subsystem of graphene sheet described by the Dirac model in the long-wavelength approximation.

[ { "created": "Tue, 20 Jun 2023 09:18:43 GMT", "version": "v1" }, { "created": "Mon, 7 Aug 2023 12:00:23 GMT", "version": "v2" }, { "created": "Tue, 6 Feb 2024 17:58:34 GMT", "version": "v3" }, { "created": "Fri, 17 May 2024 12:42:58 GMT", "version": "v4" } ]

2024-05-20

[ [ "Parazian", "V. V.", "" ] ]

We consider a massive fermionic quantum field localized on a plane in external constant and homogeneous electric and magnetic fields. The magnetic field is perpendicular to the plane and the electric field is parallel. The complete set of solutions to the Dirac equation is presented. As important physical characteristics of the vacuum state, the fermion condensate and the expectation value of the energy-momentum tensor are investigated. The renormalization is performed using the Hurwitz function. The results are compared with those previously studied in the case of zero electric field. We discuss the behavior of the vacuum expectation values in different regions for the values of the problem parameters. Applications of the results include the electronic subsystem of graphene sheet described by the Dirac model in the long-wavelength approximation.

7.495754

6.940353

7.701127

6.528541

6.84254

6.809261

7.070838

6.114249

6.685344

7.170612

6.467897

6.6215

7.214338

6.924257

6.92873

6.692125

6.562301

6.748125

6.795184

7.309758

6.732064

1605.04173

Leonardo Modesto

Leonardo Modesto and Leslaw Rachwal

Finite Conformal Quantum Gravity and Nonsingular Spacetimes

34 pages, 8 figures

null

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

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

We explicitly prove that a class of finite quantum gravitational theories (in odd as well as in even dimension) is actually a range of anomaly-free conformally invariant theories in the spontaneously broken phase of the conformal Weyl symmetry. At classical level we show how the Weyl conformal invariance is likely able to tame the spacetime singularities that plague not only Einstein gravity, but also local and weakly non-local higher derivative theories. This latter statement is rigorously proved by a singularity theorem that applies to a large class of weakly non-local theories. Following the seminal paper by Narlikar and Kembhavi, we provide an explicit construction of singularity-free black hole exact solutions conformally equivalent to the Schwarzschild metric. Furthermore, we show that the FRW cosmological solutions and the Belinski, Khalatnikov, Lifshitz (BKL) spacetimes, which exactly solve the classical equations of motion, are conformally equivalent to regular spacetimes. Finally, we prove that the Oppenheimer-Volkov gravitational collapse is a an exact (singularity-free) solution of the non-local conformally invariant theory compatible with the bounce paradigm.

[ { "created": "Fri, 13 May 2016 13:33:56 GMT", "version": "v1" } ]

2016-05-16

[ [ "Modesto", "Leonardo", "" ], [ "Rachwal", "Leslaw", "" ] ]

We explicitly prove that a class of finite quantum gravitational theories (in odd as well as in even dimension) is actually a range of anomaly-free conformally invariant theories in the spontaneously broken phase of the conformal Weyl symmetry. At classical level we show how the Weyl conformal invariance is likely able to tame the spacetime singularities that plague not only Einstein gravity, but also local and weakly non-local higher derivative theories. This latter statement is rigorously proved by a singularity theorem that applies to a large class of weakly non-local theories. Following the seminal paper by Narlikar and Kembhavi, we provide an explicit construction of singularity-free black hole exact solutions conformally equivalent to the Schwarzschild metric. Furthermore, we show that the FRW cosmological solutions and the Belinski, Khalatnikov, Lifshitz (BKL) spacetimes, which exactly solve the classical equations of motion, are conformally equivalent to regular spacetimes. Finally, we prove that the Oppenheimer-Volkov gravitational collapse is a an exact (singularity-free) solution of the non-local conformally invariant theory compatible with the bounce paradigm.

9.159475

9.244089

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8.647225

9.501988

9.039132

9.138134

9.028156

8.931462

10.457614

8.701261

8.930594

8.913755

8.787429

9.088295

8.825521

9.262109

8.987399

9.061881

9.140678

9.037923

hep-th/0505243

Christophe Ringeval

Toni Mateos

Marginal deformation of N=4 SYM and Penrose limits with continuum spectrum

26 pages, 2 figures; v2: typos corrected, field theory interpretation extended

JHEP 0508 (2005) 026

10.1088/1126-6708/2005/08/026

null

hep-th

null

We study the Penrose limit about a null geodesic with 3 equal angular momenta in the recently obtained type IIB solution dual to an exactly marginal $\gamma$-deformation of N=4 SYM. The resulting background has non-trivial NS 3-form flux as well as RR 5- and 3-form fluxes. We quantise the light-cone Green-Schwarz action and show that it exhibits a continuum spectrum. We show that this is related to the dynamics of a charged particle moving in a Landau plane with an extra interaction induced by the deformation. We interpret the results in the dual N=1 SCFT.

[ { "created": "Thu, 26 May 2005 17:23:51 GMT", "version": "v1" }, { "created": "Wed, 1 Jun 2005 17:58:09 GMT", "version": "v2" } ]

2009-11-11

[ [ "Mateos", "Toni", "" ] ]

We study the Penrose limit about a null geodesic with 3 equal angular momenta in the recently obtained type IIB solution dual to an exactly marginal $\gamma$-deformation of N=4 SYM. The resulting background has non-trivial NS 3-form flux as well as RR 5- and 3-form fluxes. We quantise the light-cone Green-Schwarz action and show that it exhibits a continuum spectrum. We show that this is related to the dynamics of a charged particle moving in a Landau plane with an extra interaction induced by the deformation. We interpret the results in the dual N=1 SCFT.

8.444549

7.246142

9.79249

6.43909

7.479793

7.94771

7.134092

7.320723

6.919378

12.15443

7.800109

7.298334

9.01339

7.505707

7.53927

7.395314

7.519773

7.442673

7.725084

9.004291

7.55475

hep-th/0508200

Robert Mann

R. Clarkson and R.B. Mann

Eguchi-Hanson Solitons in Odd Dimensions

26 pages, Latex

Class.Quant.Grav. 23 (2006) 1507-1524

10.1088/0264-9381/23/5/005

null

hep-th

null

We present a new class of solutions in odd dimensions to Einstein's equations containing either a positive or negative cosmological constant. These solutions resemble the even-dimensional Eguchi-Hanson-(A)dS metrics, with the added feature of having Lorentzian signatures. They are asymptotic to (A)dS$_{d+1}/Z_p$. In the AdS case their energy is negative relative to that of pure AdS. We present perturbative evidence in 5 dimensions that such metrics are the states of lowest energy in their asymptotic class, and present a conjecture that this is generally true for all such metrics. In the dS case these solutions have a cosmological horizon. We show that their mass at future infinity is less than that of pure dS.

[ { "created": "Fri, 26 Aug 2005 14:36:20 GMT", "version": "v1" } ]

2009-11-11

[ [ "Clarkson", "R.", "" ], [ "Mann", "R. B.", "" ] ]

We present a new class of solutions in odd dimensions to Einstein's equations containing either a positive or negative cosmological constant. These solutions resemble the even-dimensional Eguchi-Hanson-(A)dS metrics, with the added feature of having Lorentzian signatures. They are asymptotic to (A)dS$_{d+1}/Z_p$. In the AdS case their energy is negative relative to that of pure AdS. We present perturbative evidence in 5 dimensions that such metrics are the states of lowest energy in their asymptotic class, and present a conjecture that this is generally true for all such metrics. In the dS case these solutions have a cosmological horizon. We show that their mass at future infinity is less than that of pure dS.

7.77143

7.005883

7.762467

6.909024

6.817245

6.962334

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7.189126

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7.535058

7.426261

7.583328

7.429619

7.25667

7.375332

7.385725

7.901299

7.284894

hep-th/9312006

null

Matthias Burkardt

Light Front Ensemble Projector Mont Carlo

null

Phys.Rev. D49 (1994) 5446-5457

10.1103/PhysRevD.49.5446

null

hep-th hep-lat

null

A new method to perform numerical simulations of light-front Hamiltonians formulated on transverse lattices is introduced. The method is based on a DLCQ formulation for the (continuous) longitudinal directions. The hopping term in the transverse direction introduces couplings between fields defined on neighboring $1+1$-dimensional sheets. Within each sheet, the light-cone imaginary time evolution operator is calculated numerically with high precision using DLCQ. The coupling between neighboring sheets is taken into account using an initial value random walk algorithm based on the ensemble projector Monte Carlo technique and a checkerboard decomposition for the time evolution operator. The structure functions of $\lambda \phi^4$ theory in $2+1$ dimensions are studied as a trial application. The calculations are performed with up to 64 transverse lattice sites. No Tamm-Dancoff truncations are necessary.

[ { "created": "Wed, 1 Dec 1993 19:29:46 GMT", "version": "v1" } ]

2009-10-22

[ [ "Burkardt", "Matthias", "" ] ]

A new method to perform numerical simulations of light-front Hamiltonians formulated on transverse lattices is introduced. The method is based on a DLCQ formulation for the (continuous) longitudinal directions. The hopping term in the transverse direction introduces couplings between fields defined on neighboring $1+1$-dimensional sheets. Within each sheet, the light-cone imaginary time evolution operator is calculated numerically with high precision using DLCQ. The coupling between neighboring sheets is taken into account using an initial value random walk algorithm based on the ensemble projector Monte Carlo technique and a checkerboard decomposition for the time evolution operator. The structure functions of $\lambda \phi^4$ theory in $2+1$ dimensions are studied as a trial application. The calculations are performed with up to 64 transverse lattice sites. No Tamm-Dancoff truncations are necessary.

11.025109

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10.37642

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10.340229

10.424183

10.571917

9.9112

10.768933

10.059099

10.823762

10.222033

2109.09753

Markus B. Fr\"ob

M. B. Fr\"ob, C. Rein and R. Verch

Graviton corrections to the Newtonian potential using invariant observables

28 pages, many figures. Matches published version

JHEP 01 (2022) 180

10.1007/JHEP01(2022)180

null

hep-th gr-qc

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

We consider the effective theory of perturbative quantum gravity coupled to a point particle, quantizing fluctuations of both the gravitational field and the particle's position around flat space. Using a recent relational approach to construct gauge-invariant observables, we compute one-loop graviton corrections to the invariant metric perturbation, whose time-time component gives the Newtonian gravitational potential. The resulting quantum correction consists of two parts: the first stems from graviton loops and agrees with the correction derived by other methods, while the second one is sourced by the quantum fluctuations of the particle's position and energy-momentum, and may be viewed as an analog of a "Zitterbewegung". As a check on the computation, we also recover classical corrections which agree with the perturbative expansion of the Schwarzschild metric.

[ { "created": "Mon, 20 Sep 2021 18:00:02 GMT", "version": "v1" }, { "created": "Wed, 22 Sep 2021 12:28:36 GMT", "version": "v2" }, { "created": "Tue, 1 Feb 2022 11:46:37 GMT", "version": "v3" } ]

2022-02-02

[ [ "Fröb", "M. B.", "" ], [ "Rein", "C.", "" ], [ "Verch", "R.", "" ] ]

We consider the effective theory of perturbative quantum gravity coupled to a point particle, quantizing fluctuations of both the gravitational field and the particle's position around flat space. Using a recent relational approach to construct gauge-invariant observables, we compute one-loop graviton corrections to the invariant metric perturbation, whose time-time component gives the Newtonian gravitational potential. The resulting quantum correction consists of two parts: the first stems from graviton loops and agrees with the correction derived by other methods, while the second one is sourced by the quantum fluctuations of the particle's position and energy-momentum, and may be viewed as an analog of a "Zitterbewegung". As a check on the computation, we also recover classical corrections which agree with the perturbative expansion of the Schwarzschild metric.

7.811679

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7.586653

7.826715

7.319396

7.339008

7.70947

7.243327

hep-th/9903136

Ennio Gozzi

E.Gozzi, M.Regini

Addenda and corrections to work done on the path-integral approach to classical mechanics

Title changed, appendix expanded, few misprints fixed

Phys.Rev.D 62 (2000) 067702 (shortened version)

10.1103/PhysRevD.62.067702

null

hep-th

null

In this paper we continue the study of the path-integral formulation of classical mechanics and in particular we better clarify, with respect to previous papers, the geometrical meaning of the variables entering this formulation. With respect to the first paper with the same title, we {\it correct} here the set of transformations for the auxiliary variables $\lambda_{a}$. We prove that under this new set of transformations the Hamiltonian ${\widetilde{\cal H}}$, appearing in our path-integral, is an exact scalar and the same for the Lagrangian. Despite this different transformation, the variables $\lambda_{a}$ maintain the same operatorial meaning as before but on a different functional space. Cleared up this point we then show that the space spanned by the whole set of variables ($\phi, c, \lambda,\bar c$) of our path-integral is the cotangent bundle to the {\it reversed-parity} tangent bundle of the phase space ${\cal M}$ of our system and it is indicated as $T^{\star}(\Pi T{\cal M})$. In case the reader feel uneasy with this strange {\it Grassmannian} double bundle, we show in this paper that it is possible to build a different path-integral made only of {\it bosonic} variables. These turn out to be the coordinates of $T^{\star}(T^{\star}{\cal M})$ which is the double cotangent bundle of phase-space.

[ { "created": "Tue, 16 Mar 1999 09:00:53 GMT", "version": "v1" }, { "created": "Tue, 23 Mar 1999 14:41:13 GMT", "version": "v2" }, { "created": "Thu, 3 Aug 2000 13:25:01 GMT", "version": "v3" } ]

2009-10-31

[ [ "Gozzi", "E.", "" ], [ "Regini", "M.", "" ] ]

In this paper we continue the study of the path-integral formulation of classical mechanics and in particular we better clarify, with respect to previous papers, the geometrical meaning of the variables entering this formulation. With respect to the first paper with the same title, we {\it correct} here the set of transformations for the auxiliary variables $\lambda_{a}$. We prove that under this new set of transformations the Hamiltonian ${\widetilde{\cal H}}$, appearing in our path-integral, is an exact scalar and the same for the Lagrangian. Despite this different transformation, the variables $\lambda_{a}$ maintain the same operatorial meaning as before but on a different functional space. Cleared up this point we then show that the space spanned by the whole set of variables ($\phi, c, \lambda,\bar c$) of our path-integral is the cotangent bundle to the {\it reversed-parity} tangent bundle of the phase space ${\cal M}$ of our system and it is indicated as $T^{\star}(\Pi T{\cal M})$. In case the reader feel uneasy with this strange {\it Grassmannian} double bundle, we show in this paper that it is possible to build a different path-integral made only of {\it bosonic} variables. These turn out to be the coordinates of $T^{\star}(T^{\star}{\cal M})$ which is the double cotangent bundle of phase-space.

9.217487

9.48637

9.636523

9.135932

10.173257

9.82076

9.602637

9.542965

9.083989

9.68879

8.905993

9.16846

9.442044

9.117545

9.164932

9.140801

8.974327

8.941427

8.960233

9.372005

8.995257

hep-th/0506107

Maxim Chernodub

M.N. Chernodub

Yang-Mills theory in Landau gauge as a liquid crystal

9 pages, no figures

Phys.Lett. B637 (2006) 128-132

10.1016/j.physletb.2006.03.073

ITEP-LAT/2005-09

hep-th cond-mat.soft cond-mat.str-el cond-mat.supr-con hep-lat hep-ph

null

Using a spin-charge separation of the gluon field in the Landau gauge we show that the SU(2) Yang-Mills theory in the low-temperature phase can be considered as a nematic liquid crystal. The ground state of the nematic crystal is characterized by the A^2 condensate of the gluon field. The liquid crystal possesses various topological defects (instantons, monopoles and vortices) which are suggested to play a role in non-perturbative features of the theory.

[ { "created": "Mon, 13 Jun 2005 22:58:48 GMT", "version": "v1" } ]

2016-09-06

[ [ "Chernodub", "M. N.", "" ] ]

Using a spin-charge separation of the gluon field in the Landau gauge we show that the SU(2) Yang-Mills theory in the low-temperature phase can be considered as a nematic liquid crystal. The ground state of the nematic crystal is characterized by the A^2 condensate of the gluon field. The liquid crystal possesses various topological defects (instantons, monopoles and vortices) which are suggested to play a role in non-perturbative features of the theory.

6.552042

6.147718

6.262834

6.006917

6.672099

6.014147

5.976071

6.419762

5.64743

6.478574

6.028717

6.05842

5.89447

5.910736

5.990926

5.826473

6.179953

6.066309

5.917738

5.803878

5.838635

hep-th/9504018

null

J.D. Kim

Boundary Reflection Matrix in Perturbative Quantum Field Theory

15 pages, a change in Acknowledgement

Phys.Lett. B353 (1995) 213-221

10.1016/0370-2693(95)00586-A

DTP/95-11

hep-th

null

We study boundary reflection matrix for the quantum field theory defined on a half line using Feynman's perturbation theory. The boundary reflection matrix can be extracted directly from the two-point correlation function. This enables us to determine the boundary reflection matrix for affine Toda field theory with the Neumann boundary condition modulo `a mysterious factor half'.

[ { "created": "Wed, 5 Apr 1995 15:30:48 GMT", "version": "v1" }, { "created": "Thu, 6 Apr 1995 10:06:26 GMT", "version": "v2" } ]

2009-10-28

[ [ "Kim", "J. D.", "" ] ]

We study boundary reflection matrix for the quantum field theory defined on a half line using Feynman's perturbation theory. The boundary reflection matrix can be extracted directly from the two-point correlation function. This enables us to determine the boundary reflection matrix for affine Toda field theory with the Neumann boundary condition modulo `a mysterious factor half'.

15.429171

12.743579

15.945699

10.993053

11.956762

11.715464

13.447042

10.977257

12.709725

15.955053

10.167871

12.469922

15.632253

12.562551

12.660709

12.671626

12.27441

12.559888

12.309366

15.064703

11.860496

hep-th/0207261

Wen-Fa Lu

Wen-Fa Lu, Chul Koo Kim and Kyun Nahm

Sine-Gordon Effective Potential beyond Gaussian Approximation

9 pages and 4 EPS figures, the revised version with literal changes and minor corrections to typo errors in equations

Phys.Lett. B546 (2002) 177-188

10.1016/S0370-2693(02)02659-X

null

hep-th

null

Combining an optimized expansion scheme in the spirit of the background field method with the Coleman's normal-ordering renormalization prescription, we calculate the effective potential of sine-Gordon field theory beyond the Gaussian approximation. The first-order result is just the sine-Gordon Gaussian effective potential (GEP). For the range of the coupling beta^2 <= 3.4 pi (an approximate value), a calculation with Mathematica indicates that the result up to the second order is finite without any further renormalization procedure and tends to improve the GEP more substantially while beta^2 increases from zero.

[ { "created": "Tue, 30 Jul 2002 02:34:50 GMT", "version": "v1" }, { "created": "Wed, 14 Aug 2002 15:37:39 GMT", "version": "v2" } ]

2009-11-07

[ [ "Lu", "Wen-Fa", "" ], [ "Kim", "Chul Koo", "" ], [ "Nahm", "Kyun", "" ] ]

Combining an optimized expansion scheme in the spirit of the background field method with the Coleman's normal-ordering renormalization prescription, we calculate the effective potential of sine-Gordon field theory beyond the Gaussian approximation. The first-order result is just the sine-Gordon Gaussian effective potential (GEP). For the range of the coupling beta^2 <= 3.4 pi (an approximate value), a calculation with Mathematica indicates that the result up to the second order is finite without any further renormalization procedure and tends to improve the GEP more substantially while beta^2 increases from zero.

18.074711

20.210098

17.857811

16.725458

17.00362

20.258942

17.138329

17.993763

15.685023

18.844128

16.60634

16.429193

16.519892

16.287802

15.602892

17.266867

17.136421

16.749365

16.089851

16.105629

17.026398

hep-th/9503076

Mokhov

Oleg Mokhov (Steklov Mathematical Institute)

Symplectic and Poisson Geometry on Loop Spaces of Manifolds and Nonlinear Equations

32 pages

null

hep-th

null

We consider some differential geometric classes of local and nonlocal Poisson and symplectic structures on loop spaces of smooth manifolds which give natural Hamiltonian and multihamiltonian representations for some important nonlinear equations of mathematical physics and field theory such as nonlinear sigma models with torsion, degenerate Lagrangian systems of field theory, systems of hydrodynamic type, N-component systems of Heisenberg magnet type, Monge-Amp\`ere equations, the Krichever-Novikov equation and others. In addition, we shall prove integrability of some class of nonhomogeneous systems of hydrodynamic type and give a description of nonlinear partial differential equations of associativity in $2D$ topological field theories (for some special type solutions of the Witten-Dijkgraaf-E.Verlinde-H.Verlinde (WDVV) system) as integrable nondiagonalizable weakly nonlinear homogeneous systems of hydrodynamic type.

[ { "created": "Sat, 11 Mar 1995 18:24:18 GMT", "version": "v1" } ]

2016-09-06

[ [ "Mokhov", "Oleg", "", "Steklov Mathematical Institute" ] ]

We consider some differential geometric classes of local and nonlocal Poisson and symplectic structures on loop spaces of smooth manifolds which give natural Hamiltonian and multihamiltonian representations for some important nonlinear equations of mathematical physics and field theory such as nonlinear sigma models with torsion, degenerate Lagrangian systems of field theory, systems of hydrodynamic type, N-component systems of Heisenberg magnet type, Monge-Amp\`ere equations, the Krichever-Novikov equation and others. In addition, we shall prove integrability of some class of nonhomogeneous systems of hydrodynamic type and give a description of nonlinear partial differential equations of associativity in $2D$ topological field theories (for some special type solutions of the Witten-Dijkgraaf-E.Verlinde-H.Verlinde (WDVV) system) as integrable nondiagonalizable weakly nonlinear homogeneous systems of hydrodynamic type.

8.670312

10.949968

11.427967

9.64533

10.771135

10.635801

9.849141

10.180162

9.150391

10.845101

9.385639

9.103636

9.345483

8.95522

9.206757

9.295885

8.922307

8.975709

8.969326

9.582804

8.939375

2203.14212

Sourav Roychowdhury

Sourav Roychowdhury, Prasanta K. Tripathy

Penrose limits in massive type-IIA AdS$_3$ background

1+18 pages; v2; Minor modifications; Accepted to Phys. Rev. D

Phys. Rev. D. 105, 106024 (2022)

10.1103/PhysRevD.105.106024

null

hep-th

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

In this paper we consider the non-Abelian T-dual geometry of the type $IIB$ supergravity theory on $AdS_3\times S^3\times T^4$ background along a convenient $SU(2)$ subgroup of the $SO(4)$ R-symmetry. We examine various null geodesics of the resulting massive type $IIA$ supergravity theory and investigate the Penrose limits along these geodesics. We find that one of the resulting backgrounds admits pp-wave geometry in the neighbourhood of a suitable null geodesic. We carry out the supersymmetry analysis of the resulting pp-wave geometry and observe that it preserves sixteen supercharges. Further we comment on the possible gauge theory dual of the resulting pp-wave background.

[ { "created": "Sun, 27 Mar 2022 05:11:33 GMT", "version": "v1" }, { "created": "Sun, 15 May 2022 07:10:27 GMT", "version": "v2" } ]

2022-05-25

[ [ "Roychowdhury", "Sourav", "" ], [ "Tripathy", "Prasanta K.", "" ] ]

In this paper we consider the non-Abelian T-dual geometry of the type $IIB$ supergravity theory on $AdS_3\times S^3\times T^4$ background along a convenient $SU(2)$ subgroup of the $SO(4)$ R-symmetry. We examine various null geodesics of the resulting massive type $IIA$ supergravity theory and investigate the Penrose limits along these geodesics. We find that one of the resulting backgrounds admits pp-wave geometry in the neighbourhood of a suitable null geodesic. We carry out the supersymmetry analysis of the resulting pp-wave geometry and observe that it preserves sixteen supercharges. Further we comment on the possible gauge theory dual of the resulting pp-wave background.

5.075987

4.809946

5.661326

4.609457

4.660973

4.776762

4.676694

4.680544

4.454853

6.230131

4.559402

4.780189

5.327763

4.78773

4.777958

4.760258

4.790242

4.769783

4.706713

5.082822

4.780222

hep-th/0010069

Romuald A. Janik

String Fluctuations, AdS/CFT and the Soft Pomeron Intercept

13 pages, no figures

Phys.Lett. B500 (2001) 118-124

10.1016/S0370-2693(01)00057-0

t00/143

hep-th hep-ph

null

We study high energy scattering amplitudes in a strongly coupled (confining) gauge theory using the AdS/CFT correspondence. The scattering described by a Wilson line/loop correlation function was shown earlier to correspond to minimal surfaces of the helicoid type, and gave amplitudes with unit intercept and linear trajectory. In this paper we find the correction to the intercept from quadratic fluctuations of the string worldsheet around the helicoid. The relevant term comes from analytical continuation of a L\"uscher like term. It is coupling-constant independent and proportional to the number of effective transverse flat dimensions. The shift of the intercept, under our assumptions, is $n_\perp /96$, and for $n_\perp=7,8$ gives respectively 0.0729, 0.083. Incidentally we note that this is surprisingly close to the observed value of 0.08.

[ { "created": "Tue, 10 Oct 2000 15:35:11 GMT", "version": "v1" } ]

2009-10-31

[ [ "Janik", "Romuald A.", "" ] ]

We study high energy scattering amplitudes in a strongly coupled (confining) gauge theory using the AdS/CFT correspondence. The scattering described by a Wilson line/loop correlation function was shown earlier to correspond to minimal surfaces of the helicoid type, and gave amplitudes with unit intercept and linear trajectory. In this paper we find the correction to the intercept from quadratic fluctuations of the string worldsheet around the helicoid. The relevant term comes from analytical continuation of a L\"uscher like term. It is coupling-constant independent and proportional to the number of effective transverse flat dimensions. The shift of the intercept, under our assumptions, is $n_\perp /96$, and for $n_\perp=7,8$ gives respectively 0.0729, 0.083. Incidentally we note that this is surprisingly close to the observed value of 0.08.

12.617982

12.707504

12.958042

12.009704

12.983892

13.4693

12.973489

12.33464

12.128181

15.381259

12.683311

12.062012

12.838629

11.724922

12.876037

12.713534

11.997861

12.485293

11.403561

12.203623

12.377547

hep-th/9209058

John Preskill

Do Black Holes Destroy Information?

18 pages, harvmac, CALT-68-1819

null

hep-th gr-qc

null

I review the information loss paradox that was first formulated by Hawking, and discuss possible ways of resolving it. All proposed solutions have serious drawbacks. I conclude that the information loss paradox may well presage a revolution in fundamental physics. (To appear in the proceedings of the International Symposium on Black Holes, Membranes, Wormholes, and Superstrings.)

[ { "created": "Wed, 16 Sep 1992 18:17:10 GMT", "version": "v1" } ]

2007-05-23

[ [ "Preskill", "John", "" ] ]

I review the information loss paradox that was first formulated by Hawking, and discuss possible ways of resolving it. All proposed solutions have serious drawbacks. I conclude that the information loss paradox may well presage a revolution in fundamental physics. (To appear in the proceedings of the International Symposium on Black Holes, Membranes, Wormholes, and Superstrings.)

8.356361

6.63725

7.625088

7.043315

10.231922

6.545933

7.822105

5.95458

8.039959

8.611934

7.296154

6.225348

6.545194

5.975262

6.420002

6.310572

5.861379

6.267731

6.089133

6.948965

6.227686

1502.02678

Dalit Engelhardt

Quench Dynamics in Confined 1+1-Dimensional Systems

6 pages, to appear in J. Phys. A

J. Phys. A: Math. Theor. 49 12LT01 (2016)

10.1088/1751-8113/49/12/12LT01

null

hep-th cond-mat.stat-mech

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

We present a framework for investigating the response of conformally-invariant confined 1+1-dimensional systems to a quantum quench. While conformal invariance is generally destroyed in a global quantum quench, systems that can be described as or mapped to integrable deformations of a CFT may present special instances where a conformal field theory-based analysis could provide useful insight into the non-equilibrium dynamics. We investigate this possibility by considering a quench analogous to that of the Quantum Newton's Cradle experiment [Nature 440, 900 (2006)] and demonstrating qualitative agreement between observables derived in the CFT framework and those of the experimental system. We propose that this agreement may be a feature of the proximity of the experimental system to an integrable deformation of a c=1 CFT.

[ { "created": "Mon, 9 Feb 2015 21:02:38 GMT", "version": "v1" }, { "created": "Mon, 9 Mar 2015 09:09:51 GMT", "version": "v2" }, { "created": "Sat, 4 Apr 2015 18:59:37 GMT", "version": "v3" }, { "created": "Wed, 29 Jul 2015 01:45:27 GMT", "version": "v4" }, { "created": "Tue, 12 Jan 2016 05:57:59 GMT", "version": "v5" } ]

2016-02-12

[ [ "Engelhardt", "Dalit", "" ] ]

We present a framework for investigating the response of conformally-invariant confined 1+1-dimensional systems to a quantum quench. While conformal invariance is generally destroyed in a global quantum quench, systems that can be described as or mapped to integrable deformations of a CFT may present special instances where a conformal field theory-based analysis could provide useful insight into the non-equilibrium dynamics. We investigate this possibility by considering a quench analogous to that of the Quantum Newton's Cradle experiment [Nature 440, 900 (2006)] and demonstrating qualitative agreement between observables derived in the CFT framework and those of the experimental system. We propose that this agreement may be a feature of the proximity of the experimental system to an integrable deformation of a c=1 CFT.

8.677846

8.958223

9.634235

8.83849

10.383498

10.240708

9.69008

9.564605

9.290107

9.349944

8.440205

8.478451

8.913899

8.554614

8.232459

8.479079

8.504655

8.154806

8.285274

8.436767

8.247776

2007.15098

Dharam Vir Ahluwalia

Dharam Ahluwalia

Mass Dimension One Fermions

This is a pre copy-edited version. 131 pages

Cambridge Monographs on Mathematical Physics (Cambridge University Press, July 2019)

null

hep-th gr-qc

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

In 2005, Dharam Ahluwalia and Daniel Grumiller reported an unexpected theoretical discovery of mass dimension one fermions. These are an entirely new class of spin one half particles, and because of their mass dimensionality mismatch with the standard model fermions they are a first-principle dark matter candidate. Written by one of the physicists involved in the discovery, this is the first book to outline the discovery of mass dimension one fermions. Using a foundation of Lorentz algebra it provides a detailed construction of the eigenspinors of the charge conjugation operator (Elko) and their properties. The theory of dual spaces is then covered, before mass dimension one fermions are discussed in detail. With mass dimension one fermions having applications to cosmology and high energy physics, this book is essential for graduate students and researchers in quantum field theory, mathematical physics, and particle theory.

[ { "created": "Tue, 28 Jul 2020 15:22:53 GMT", "version": "v1" }, { "created": "Fri, 31 Jul 2020 06:05:49 GMT", "version": "v2" } ]

2021-03-15

[ [ "Ahluwalia", "Dharam", "" ] ]

In 2005, Dharam Ahluwalia and Daniel Grumiller reported an unexpected theoretical discovery of mass dimension one fermions. These are an entirely new class of spin one half particles, and because of their mass dimensionality mismatch with the standard model fermions they are a first-principle dark matter candidate. Written by one of the physicists involved in the discovery, this is the first book to outline the discovery of mass dimension one fermions. Using a foundation of Lorentz algebra it provides a detailed construction of the eigenspinors of the charge conjugation operator (Elko) and their properties. The theory of dual spaces is then covered, before mass dimension one fermions are discussed in detail. With mass dimension one fermions having applications to cosmology and high energy physics, this book is essential for graduate students and researchers in quantum field theory, mathematical physics, and particle theory.

9.523683

9.030838

9.276804

8.148724

9.28369

9.154398

8.646516

8.416463

8.255406

8.313037

8.955368

8.222405

8.319499

8.089324

8.162368

8.348771

8.280209

8.233073

8.02412

8.152241

9.254442

1011.0696

Stefan Theisen

Adam Schwimmer, Stefan Theisen

Spontaneous Breaking of Conformal Invariance and Trace Anomaly Matching

29 pages, 2 figures

Nucl.Phys.B847:590-611,2011

10.1016/j.nuclphysb.2011.02.003

null

hep-th

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

We argue that when conformal symmetry is spontaneously broken the trace anomalies in the broken and unbroken phases are matched. This puts strong constraints on the various couplings of the dilaton. Using the uniqueness of the effective action for the Goldstone supermultiplet for broken ${\cal N}=1$ superconformal symmetry the dilaton effective action is calculated.

[ { "created": "Tue, 2 Nov 2010 18:31:53 GMT", "version": "v1" } ]

2011-03-28

[ [ "Schwimmer", "Adam", "" ], [ "Theisen", "Stefan", "" ] ]

We argue that when conformal symmetry is spontaneously broken the trace anomalies in the broken and unbroken phases are matched. This puts strong constraints on the various couplings of the dilaton. Using the uniqueness of the effective action for the Goldstone supermultiplet for broken ${\cal N}=1$ superconformal symmetry the dilaton effective action is calculated.

9.907699

8.677982

9.374825

7.784626

8.500355

7.910155

8.143701

8.156067

7.94308

9.315915

8.390957

9.178378

9.372185

8.927552

8.517997

8.869373

8.85805

8.813121

9.06685

9.410312

8.78078

hep-th/0201003

Sami Muslih

S. I. Muslih

The Hamilton-Jacobi treatment for non-abelian Chern-Simons system

7 pages, Latex

Nucl.Phys.Proc.Suppl. 106 (2002) 879-881

10.1016/S0920-5632(03)01733-X

null

hep-th

null

The non-abelian Chern-Simons field interacting with $N$ component complex field is treated as a constrained system using the Hamilton-Jacobi approach. The reduced phase space Hamiltonian density is obtained without introducing Lagrange multipliers and with out any additional gauge fixing condition. The quantization of this system is also discussed.

[ { "created": "Tue, 1 Jan 2002 21:10:55 GMT", "version": "v1" } ]

2009-11-07

[ [ "Muslih", "S. I.", "" ] ]

The non-abelian Chern-Simons field interacting with $N$ component complex field is treated as a constrained system using the Hamilton-Jacobi approach. The reduced phase space Hamiltonian density is obtained without introducing Lagrange multipliers and with out any additional gauge fixing condition. The quantization of this system is also discussed.

11.339109

8.862473

10.04166

8.732707

9.06335

8.760452

9.489508

8.544042

8.635681

10.659154

9.089412

9.563298

9.783296

8.80336

8.949229

9.573831

9.290787

9.156013

9.065596

10.188057

9.354781

2405.19390

Leah Jenks

Christian Capanelli, Leah Jenks, Edward W. Kolb, and Evan McDonough

Gravitational Production of Completely Dark Photons with Nonminimal Couplings to Gravity

26 pages, 14 figures, references added

null

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

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

Dark photons are a theorized massive spin-1 particle which can be produced via various mechanisms, including cosmological gravitational particle production (GPP) in the early universe. In this work, we extend previous results for GPP of dark photons to include nonminimal couplings to gravity. We find that nonminimal couplings can induce a ghost instability or lead to runaway particle production at high momentum and discuss the constraints on the parameter space such that the theory is free of instabilities. Within the instability-free regime we numerically calculate the particle production and find that the inclusion of nonminimal couplings can lead to an enhancement of the particle number. As a result, GPP of nonminimally coupled dark photons can open the parameter space for production of a cosmological relevant relic density (constituting all or part of the dark matter) as compared to the minimally-coupled theory. These results are independent of the choice of inflation model, which we demonstrate by repeating the analysis for a class of rapid-turn multi-field inflation models.

[ { "created": "Wed, 29 May 2024 18:00:00 GMT", "version": "v1" }, { "created": "Wed, 7 Aug 2024 20:42:06 GMT", "version": "v2" } ]

2024-08-09

[ [ "Capanelli", "Christian", "" ], [ "Jenks", "Leah", "" ], [ "Kolb", "Edward W.", "" ], [ "McDonough", "Evan", "" ] ]

Dark photons are a theorized massive spin-1 particle which can be produced via various mechanisms, including cosmological gravitational particle production (GPP) in the early universe. In this work, we extend previous results for GPP of dark photons to include nonminimal couplings to gravity. We find that nonminimal couplings can induce a ghost instability or lead to runaway particle production at high momentum and discuss the constraints on the parameter space such that the theory is free of instabilities. Within the instability-free regime we numerically calculate the particle production and find that the inclusion of nonminimal couplings can lead to an enhancement of the particle number. As a result, GPP of nonminimally coupled dark photons can open the parameter space for production of a cosmological relevant relic density (constituting all or part of the dark matter) as compared to the minimally-coupled theory. These results are independent of the choice of inflation model, which we demonstrate by repeating the analysis for a class of rapid-turn multi-field inflation models.

7.413788

7.873062

7.184087

6.954497

7.424995

7.662234

7.953448

7.560426

7.047819

7.438859

7.41592

7.193623

7.419941

7.310079

7.265196

7.048234

7.502136

7.30913

7.572309

7.473727

7.061702

2112.12154

Gabriele Lo Monaco

Sergio Benvenuti, Gabriele Lo Monaco

A toolkit for ortho-symplectic dualities

22 pages, Comments added

null

10.1007/JHEP09(2023)002

null

hep-th

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

We propose new confining dualities in $3d$ $\mathcal{N}\!=\!2$ gauge theories with orthogonal gauge groups, with and without monopole superpotentials. Deriving some of those dualities requires a sequence of gauging and Higgsing for a $\mathbb{Z}_2$ symmetry. This prevents the gauge theory from developing a smooth quantum moduli space and affects the global structure of the gauge group, muting it from $SO$ to $O_+$ . The confining dualities provide tools to deconfine fields transforming in the symmetric rank-$2$ representation of classical gauge groups. As an application, we propose and derive S-confining dualities for $SO(N)$ $(Sp(N))$ gauge theories with an adjoint and $1$ $(2)$ fundamentals, respectively. From these S-confining dualities, we readily obtain various duality appetizers and the $3d$ mirror of $A_{2N}$ Argyres-Douglas theories.

[ { "created": "Wed, 22 Dec 2021 19:00:00 GMT", "version": "v1" }, { "created": "Wed, 30 Nov 2022 08:38:44 GMT", "version": "v2" }, { "created": "Thu, 9 Feb 2023 11:34:39 GMT", "version": "v3" } ]

2024-07-12

[ [ "Benvenuti", "Sergio", "" ], [ "Monaco", "Gabriele Lo", "" ] ]

We propose new confining dualities in $3d$ $\mathcal{N}\!=\!2$ gauge theories with orthogonal gauge groups, with and without monopole superpotentials. Deriving some of those dualities requires a sequence of gauging and Higgsing for a $\mathbb{Z}_2$ symmetry. This prevents the gauge theory from developing a smooth quantum moduli space and affects the global structure of the gauge group, muting it from $SO$ to $O_+$ . The confining dualities provide tools to deconfine fields transforming in the symmetric rank-$2$ representation of classical gauge groups. As an application, we propose and derive S-confining dualities for $SO(N)$ $(Sp(N))$ gauge theories with an adjoint and $1$ $(2)$ fundamentals, respectively. From these S-confining dualities, we readily obtain various duality appetizers and the $3d$ mirror of $A_{2N}$ Argyres-Douglas theories.

8.939603

7.949448

10.099054

8.116143

8.339782

8.20743

7.748985

7.815866

7.628083

12.086545

7.948008

8.272225

9.629192

8.375885

8.184409

8.271965

8.319764

8.122132

8.1808

9.329989

8.311081

hep-th/0112193

Stefan Foerste

Stefan Forste

D-branes on a Deformation of SU(2)

19 pages, latex, 5 figures, references added

JHEP 0202 (2002) 022

10.1088/1126-6708/2002/02/022

null

hep-th

null

We discuss D-branes on a line of conformal field theories connected by an exact marginal deformation. The line contains an SU(2) WZW model and two mutually T-dual SU(2)/U(1) cosets times a free boson. We find the D-branes preserving a U(1) isometry, an F-flux quantization condition and conformal invariance. Away from the SU(2) point a U(1) times U(1) symmetry is broken to U(1) times Z_k, i.e. continuous rotations of branes are accompanied by rotations along the branes. Requiring decoupling of the cosets from the free boson at the endpoints of the deformation breaks the continuous rotation of branes to Z_k. At the SU(2) point the full U(1) times U(1) symmetry is restored. This suggests the occurrence of phase transitions for branes at angles in the coset model, at a semiclassical level. We also discuss briefly the orientifold planes along the deformation line.

[ { "created": "Thu, 20 Dec 2001 13:32:00 GMT", "version": "v1" }, { "created": "Fri, 4 Jan 2002 11:01:08 GMT", "version": "v2" } ]

2009-11-07

[ [ "Forste", "Stefan", "" ] ]

We discuss D-branes on a line of conformal field theories connected by an exact marginal deformation. The line contains an SU(2) WZW model and two mutually T-dual SU(2)/U(1) cosets times a free boson. We find the D-branes preserving a U(1) isometry, an F-flux quantization condition and conformal invariance. Away from the SU(2) point a U(1) times U(1) symmetry is broken to U(1) times Z_k, i.e. continuous rotations of branes are accompanied by rotations along the branes. Requiring decoupling of the cosets from the free boson at the endpoints of the deformation breaks the continuous rotation of branes to Z_k. At the SU(2) point the full U(1) times U(1) symmetry is restored. This suggests the occurrence of phase transitions for branes at angles in the coset model, at a semiclassical level. We also discuss briefly the orientifold planes along the deformation line.

8.561578

9.113832

10.308192

8.445574

9.243141

8.793622

8.885435

8.88816

8.569475

11.294434

8.322072

8.401258

8.973047

8.547655

8.541122

8.744603

8.71744

8.850313

8.670856

9.16129

8.553833

hep-th/9911211

Gudrun Heinrich

G. Heinrich, G. Leibbrandt

Split dimensional regularization for the Coulomb gauge at two loops

32 pages Latex; figures replaced, text unchanged

Nucl.Phys. B575 (2000) 359-382

10.1016/S0550-3213(00)00078-X

GUELPH/99-296

hep-th

null

We evaluate the coefficients of the leading poles of the complete two-loop quark self-energy \Sigma(p) in the Coulomb gauge. Working in the framework of split dimensional regularization, with complex regulating parameters \sigma and n/2-\sigma for the energy and space components of the loop momentum, respectively, we find that split dimensional regularization leads to well-defined two-loop integrals, and that the overall coefficient of the leading pole term for \Sigma(p) is strictly local. Extensive tables showing the pole parts of one- and two-loop Coulomb integrals are given. We also comment on some general implications of split dimensional regularization, discussing in particular the limit \sigma \to 1/2 and the subleading terms in the epsilon-expansion of noncovariant integrals.

[ { "created": "Thu, 25 Nov 1999 20:41:06 GMT", "version": "v1" }, { "created": "Mon, 29 Nov 1999 15:40:56 GMT", "version": "v2" } ]

2009-10-31

[ [ "Heinrich", "G.", "" ], [ "Leibbrandt", "G.", "" ] ]

We evaluate the coefficients of the leading poles of the complete two-loop quark self-energy \Sigma(p) in the Coulomb gauge. Working in the framework of split dimensional regularization, with complex regulating parameters \sigma and n/2-\sigma for the energy and space components of the loop momentum, respectively, we find that split dimensional regularization leads to well-defined two-loop integrals, and that the overall coefficient of the leading pole term for \Sigma(p) is strictly local. Extensive tables showing the pole parts of one- and two-loop Coulomb integrals are given. We also comment on some general implications of split dimensional regularization, discussing in particular the limit \sigma \to 1/2 and the subleading terms in the epsilon-expansion of noncovariant integrals.

10.810048

11.058672

12.373057

10.645942

12.855225

11.685673

11.848831

10.527948

11.789077

11.278815

10.733521

10.30187

10.622579

10.50815

10.62744

10.498129

10.439222

10.667872

10.168342

10.615252

10.202085

hep-th/0201136

Kazumi Okuyama

Kazumi Okuyama (EFI, U. of Chicago)

Ratio of Tensions from Vacuum String Field Theory

13 pages, lanlmac; version to appear in JHEP

JHEP 0203 (2002) 050

10.1088/1126-6708/2002/03/050

EFI-02-60

hep-th

null

We show analytically that the ratio of the norm of sliver states agrees with the ratio of D-brane tensions. We find that the correct ratio appears as a twist anomaly.

[ { "created": "Thu, 17 Jan 2002 15:26:51 GMT", "version": "v1" }, { "created": "Tue, 26 Mar 2002 13:37:38 GMT", "version": "v2" } ]

2009-11-07

[ [ "Okuyama", "Kazumi", "", "EFI, U. of Chicago" ] ]

We show analytically that the ratio of the norm of sliver states agrees with the ratio of D-brane tensions. We find that the correct ratio appears as a twist anomaly.

26.608469

18.44281

30.616909

20.150578

22.330238

16.550703

20.879072

19.322926

18.816673

22.729084

19.606443

18.081303

22.029299

16.744333

19.425972

18.754915

17.600349

17.218887

17.434025

19.826038

17.241884

hep-th/0104066

Andrei Starinets

G. Policastro, D.T. Son and A.O. Starinets

Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma

4 pages; small changes, to appear in PRL

Phys.Rev.Lett.87:081601,2001

10.1103/PhysRevLett.87.081601

NYU-TH/01/04/02; SNS-PH/01-05

hep-th hep-ph nucl-th

null

Using the anti-de Sitter/conformal field theory correspondence, we relate the shear viscosity \eta of the finite-temperature N=4 supersymmetric Yang-Mills theory in the large N, strong-coupling regime with the absorption cross section of low-energy gravitons by a near-extremal black three-brane. We show that in the limit of zero frequency this cross section coincides with the area of the horizon. From this result we find \eta=\pi/8 N^2T^3. We conjecture that for finite 't Hooft coupling (g_YM)^2N the shear viscosity is \eta=f((g_YM)^2N) N^2T^3, where f(x) is a monotonic function that decreases from O(x^{-2}\ln^{-1}(1/x)) at small x to \pi/8 when x\to\infty.

[ { "created": "Fri, 6 Apr 2001 21:41:44 GMT", "version": "v1" }, { "created": "Sat, 28 Jul 2001 02:31:10 GMT", "version": "v2" } ]

2010-02-18

[ [ "Policastro", "G.", "" ], [ "Son", "D. T.", "" ], [ "Starinets", "A. O.", "" ] ]

Using the anti-de Sitter/conformal field theory correspondence, we relate the shear viscosity \eta of the finite-temperature N=4 supersymmetric Yang-Mills theory in the large N, strong-coupling regime with the absorption cross section of low-energy gravitons by a near-extremal black three-brane. We show that in the limit of zero frequency this cross section coincides with the area of the horizon. From this result we find \eta=\pi/8 N^2T^3. We conjecture that for finite 't Hooft coupling (g_YM)^2N the shear viscosity is \eta=f((g_YM)^2N) N^2T^3, where f(x) is a monotonic function that decreases from O(x^{-2}\ln^{-1}(1/x)) at small x to \pi/8 when x\to\infty.

4.628166

5.11922

5.016667

4.342542

5.328443

4.678446

4.815949

4.732644

4.391782

5.404011

4.472342

4.618602

4.498569

4.405538

4.411701

4.884494

4.520998

4.678073

4.344033

4.618667

4.623181

hep-th/0009145

Norbert Duechting

Norbert Duechting and Thomas Strobl

Second Law of Black Hole Mechanics for all 2d Dilaton Theories

12 pages, no figures, References added, one formula (without change of the results) corrected

Phys.Rev. D63 (2001) 024021

10.1103/PhysRevD.63.024021

null

hep-th gr-qc

null

It is shown that all generalized two--dimensional dilaton theories with arbitrary matter content (with a curvature independent coupling to gravity) do not only obey a first law of black hole mechanics (which follows from Wald's general considerations, if the entropy S is defined appropriately), but also a second law: \delta S \ge 0 provided only that the null energy condition holds and that, loosely speaking, for late times a stationary state is assumed. Also any two-dimensional f(R)--theory is covered. This generalizes a previous proof of Frolov [1] to a much wider class of theories.

[ { "created": "Tue, 19 Sep 2000 13:39:55 GMT", "version": "v1" }, { "created": "Tue, 26 Sep 2000 14:51:16 GMT", "version": "v2" } ]

2009-10-31

[ [ "Duechting", "Norbert", "" ], [ "Strobl", "Thomas", "" ] ]

It is shown that all generalized two--dimensional dilaton theories with arbitrary matter content (with a curvature independent coupling to gravity) do not only obey a first law of black hole mechanics (which follows from Wald's general considerations, if the entropy S is defined appropriately), but also a second law: \delta S \ge 0 provided only that the null energy condition holds and that, loosely speaking, for late times a stationary state is assumed. Also any two-dimensional f(R)--theory is covered. This generalizes a previous proof of Frolov [1] to a much wider class of theories.

14.850168

14.9021

12.755552

13.271366

16.217974

14.431792

14.431631

12.355915

14.268487

14.163762

14.039136

14.102264

13.382519

12.984879

14.657397

13.31781

13.668559

13.533582

13.942472

14.10518

13.697214

2312.07646

Gautam Satishchandran

Jonah Kudler-Flam, Samuel Leutheusser, Adel A. Rahman, Gautam Satishchandran, and Antony J. Speranza

A covariant regulator for entanglement entropy: proofs of the Bekenstein bound and QNEC

6 pages + appendices, 2 figures

null

hep-th gr-qc quant-ph

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

While von Neumann entropies for subregions in quantum field theory universally contain ultraviolet divergences, differences between von Neumann entropies are finite and well-defined in many physically relevant scenarios. We demonstrate that such a notion of entropy differences can be rigorously defined in quantum field theory in a general curved spacetime by introducing a novel, covariant regulator for the entropy based on the modular crossed product. This regulator associates a type II von Neumann algebra to each spacetime subregion, resulting in well-defined renormalized entropies. This prescription reproduces formulas for entropy differences that coincide with heuristic formulas widely used in the literature, and we prove that it satisfies desirable properties such as unitary invariance and concavity. As an application, we provide proofs of the Bekenstein bound and the quantum null energy condition, formulated directly in terms of vacuum-subtracted von Neumann entropies.

[ { "created": "Tue, 12 Dec 2023 18:07:13 GMT", "version": "v1" } ]

2023-12-14

[ [ "Kudler-Flam", "Jonah", "" ], [ "Leutheusser", "Samuel", "" ], [ "Rahman", "Adel A.", "" ], [ "Satishchandran", "Gautam", "" ], [ "Speranza", "Antony J.", "" ] ]

While von Neumann entropies for subregions in quantum field theory universally contain ultraviolet divergences, differences between von Neumann entropies are finite and well-defined in many physically relevant scenarios. We demonstrate that such a notion of entropy differences can be rigorously defined in quantum field theory in a general curved spacetime by introducing a novel, covariant regulator for the entropy based on the modular crossed product. This regulator associates a type II von Neumann algebra to each spacetime subregion, resulting in well-defined renormalized entropies. This prescription reproduces formulas for entropy differences that coincide with heuristic formulas widely used in the literature, and we prove that it satisfies desirable properties such as unitary invariance and concavity. As an application, we provide proofs of the Bekenstein bound and the quantum null energy condition, formulated directly in terms of vacuum-subtracted von Neumann entropies.

8.877426

9.435303

9.321195

8.57093

9.168746

9.578714

8.60472

8.42782

9.049465

9.98735

8.367974

8.551074

8.274068

8.380625

8.529221

8.370578

8.580086

8.452641

8.302999

8.404937

8.569077

1208.5676

Leticia Faria Domingues Palhares

M. A. L. Capri, D. Dudal, M. S. Guimaraes, L. F. Palhares, S. P. Sorella

Physical spectrum from confined excitations in a Yang-Mills-inspired toy model

11 pages, 6 figures; v2: minor corrections and references added, improved discussion in the introduction, to appear in IJMPA

Int. J. Mod. Phys. A 28, 1350034 (2013)

10.1142/S0217751X13500346

null

hep-th hep-lat hep-ph

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

We study a toy model for an interacting scalar field theory in which the fundamental excitations are confined in the sense of having unphysical, positivity-violating propagators, a fact tracing back to a decomposition of these in propagators with complex conjugate mass poles (the so-called $i$-particles). Similar two-point functions show up in certain approaches to gluon or quark propagators in Yang-Mills gauge theories. We investigate the spectrum of our model and show that suitable composite operators may be constructed having a well-defined K\"all\'{e}n-Lehmann spectral representation, thus allowing for a particle interpretation. These physical excitations would correspond to the "mesons" of the model, the latter being bound states of two unphysical $i$-particles. The meson mass is explicitly estimated from the pole emerging in a resummed class of diagrams. The main purpose of this paper is thus to explicitly verify how a real mass pole can and does emerge out of constituent $i$-particles that have complex masses.

[ { "created": "Tue, 28 Aug 2012 14:42:50 GMT", "version": "v1" }, { "created": "Mon, 4 Mar 2013 13:12:24 GMT", "version": "v2" } ]

2013-05-01

[ [ "Capri", "M. A. L.", "" ], [ "Dudal", "D.", "" ], [ "Guimaraes", "M. S.", "" ], [ "Palhares", "L. F.", "" ], [ "Sorella", "S. P.", "" ] ]

We study a toy model for an interacting scalar field theory in which the fundamental excitations are confined in the sense of having unphysical, positivity-violating propagators, a fact tracing back to a decomposition of these in propagators with complex conjugate mass poles (the so-called $i$-particles). Similar two-point functions show up in certain approaches to gluon or quark propagators in Yang-Mills gauge theories. We investigate the spectrum of our model and show that suitable composite operators may be constructed having a well-defined K\"all\'{e}n-Lehmann spectral representation, thus allowing for a particle interpretation. These physical excitations would correspond to the "mesons" of the model, the latter being bound states of two unphysical $i$-particles. The meson mass is explicitly estimated from the pole emerging in a resummed class of diagrams. The main purpose of this paper is thus to explicitly verify how a real mass pole can and does emerge out of constituent $i$-particles that have complex masses.

11.952886

12.827946

13.150846

12.023757

12.775886

12.311941

13.292715

12.16326

11.88525

14.163964

12.306145

12.258607

12.329734

12.135497

12.341476

12.806954

12.398678

12.079389

12.289075

12.469828

11.825932

hep-th/0202139

Martin Schnabl

Anomalous reparametrizations and butterfly states in string field theory

37 pages, 4 figures, v2: numerical factors in section 2.3 and Appendix C corrected, report number corrected

Nucl.Phys. B649 (2003) 101-129

10.1016/S0550-3213(02)01018-0

MIT-LNS-02-297, MIT-CTP-3249

hep-th

null

The reparametrization symmetries of Witten's vertex in ordinary or vacuum string field theories can be used to extract useful information about classical solutions of the equations of motion corresponding to D-branes. It follows, that the vacuum string field theory in general has to be regularized. For the regularization recently considered by Gaiotto et al., we show that the identities we derive, are so constraining, that among all surface states they uniquely select the simplest butterfly projector discovered numerically by those authors. The reparametrization symmetries are also used to give a simple proof that the butterfly states and their generalizations are indeed projectors.

[ { "created": "Wed, 20 Feb 2002 18:13:34 GMT", "version": "v1" }, { "created": "Thu, 19 Dec 2002 20:03:16 GMT", "version": "v2" } ]

2010-04-05

[ [ "Schnabl", "Martin", "" ] ]

The reparametrization symmetries of Witten's vertex in ordinary or vacuum string field theories can be used to extract useful information about classical solutions of the equations of motion corresponding to D-branes. It follows, that the vacuum string field theory in general has to be regularized. For the regularization recently considered by Gaiotto et al., we show that the identities we derive, are so constraining, that among all surface states they uniquely select the simplest butterfly projector discovered numerically by those authors. The reparametrization symmetries are also used to give a simple proof that the butterfly states and their generalizations are indeed projectors.

16.283089

14.858044

18.114695

14.984945

15.14968

14.552353

15.186719

14.605441

14.715034

20.502155

14.854102

15.561184

16.623875

15.354068

15.751545

15.344334

15.427947

15.562478

15.1805

17.383533

15.056132

hep-th/9211048

Asorey

M. Asorey, J.G. Esteve, R. Fernandez J. Salas

Rigorous Analysis of Renormalization Group Pathologies in the 4-State Clock Model

LaTex file, 27 pages (8 figures not included), DFTUZ 92.9, FTUAM 92.13

Nucl.Phys. B392 (1993) 593-618

10.1016/0550-3213(93)90518-T

null

hep-th hep-lat

null

We perform an exact renormalization-group analysis of one-dimensional 4-state clock models with complex interactions. Our aim is to provide a simple explicit illustration of the behavior of the renormalization-group flow in a system exhibiting a rich phase diagram. In particular we study the flow in the vicinity of phase transitions with a first-order character, a matter that has been controversial for years. We observe that the flow is continuous and single-valued, even on the phase transition surface, provided that the renormalized Hamiltonian exist. The characteristics of such a flow are in agreement with the Nienhuis-Nauenberg standard scenario, and in disagreement with the ``discontinuity scenario'' proposed by some authors and recently disproved by van Enter, Fern\'andez and Sokal for a large class of models (with real interactions). However, there are some points in the space of interactions for which a renormalized Hamiltonian cannot be defined. This pathological behavior is similar, and in some sense complementary, to the one pointed out by Griffiths, Pearce and Israel for Ising models. We explicitly see that if the transformation is truncated so as to preserve a Hamiltonian description, the resulting flow becomes discontinuous and multivalued at some of these points. This suggests a possible explanation for the numerical results that motivated the ``discontinuity scenario''.

[ { "created": "Wed, 11 Nov 1992 12:50:53 GMT", "version": "v1" } ]

2009-10-22

[ [ "Asorey", "M.", "" ], [ "Esteve", "J. G.", "" ], [ "Salas", "R. Fernandez J.", "" ] ]

We perform an exact renormalization-group analysis of one-dimensional 4-state clock models with complex interactions. Our aim is to provide a simple explicit illustration of the behavior of the renormalization-group flow in a system exhibiting a rich phase diagram. In particular we study the flow in the vicinity of phase transitions with a first-order character, a matter that has been controversial for years. We observe that the flow is continuous and single-valued, even on the phase transition surface, provided that the renormalized Hamiltonian exist. The characteristics of such a flow are in agreement with the Nienhuis-Nauenberg standard scenario, and in disagreement with the ``discontinuity scenario'' proposed by some authors and recently disproved by van Enter, Fern\'andez and Sokal for a large class of models (with real interactions). However, there are some points in the space of interactions for which a renormalized Hamiltonian cannot be defined. This pathological behavior is similar, and in some sense complementary, to the one pointed out by Griffiths, Pearce and Israel for Ising models. We explicitly see that if the transformation is truncated so as to preserve a Hamiltonian description, the resulting flow becomes discontinuous and multivalued at some of these points. This suggests a possible explanation for the numerical results that motivated the ``discontinuity scenario''.

8.484838

9.220903

9.226777

9.172597

9.197671

9.606563

9.862544

9.335811

9.1386

10.855311

8.812606

8.916653

8.677544

8.389593

8.687517

8.820148

8.564559

8.438585

8.529691

8.887142

8.574682

1002.4448

Yun Soo Myung

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

18 pages, 3 figures, version to appear in PLB

Phys.Lett.B690:534-540,2010

10.1016/j.physletb.2010.06.002

null

hep-th gr-qc

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

We investigate the Lifshitz black holes from the Ho\v{r}ava-Lifshitz gravity by comparing with the Lifshitz black hole from the 3D new massive gravity. We note that these solutions all have single horizons. These black holes are very similar to each other when studying their thermodynamics. It is shown that a second order phase transition is unlikely possible to occur between $z=3,2$ Lifshitz black holes and $z=1$ Ho\v{r}ava black hole.

[ { "created": "Wed, 24 Feb 2010 04:01:00 GMT", "version": "v1" }, { "created": "Thu, 3 Jun 2010 01:51:40 GMT", "version": "v2" } ]

2014-11-20

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

We investigate the Lifshitz black holes from the Ho\v{r}ava-Lifshitz gravity by comparing with the Lifshitz black hole from the 3D new massive gravity. We note that these solutions all have single horizons. These black holes are very similar to each other when studying their thermodynamics. It is shown that a second order phase transition is unlikely possible to occur between $z=3,2$ Lifshitz black holes and $z=1$ Ho\v{r}ava black hole.

7.918386

6.919188

7.008799

7.02807

7.185483

7.15435

7.207438

6.769565

6.986877

6.944952

6.738327

7.004031

7.221894

7.000033

7.274082

7.096606

7.160417

6.818082

6.924632

7.216366

6.847624

2008.07942

Kengo Maeda

Norihiro Iizuka, Akihiro Ishibashi, and Kengo Maeda

The averaged null energy conditions in even dimensional curved spacetimes from AdS/CFT duality

30 pages, two figures

null

10.1007/JHEP10(2020)106

null

hep-th gr-qc

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

We consider averaged null energy conditions (ANEC) for strongly coupled quantum field theories in even (two and four) dimensional curved spacetimes by applying the no-bulk-shortcut principle in the context of the AdS/CFT duality. In the same context but in odd-dimensions, the present authors previously derived a conformally invariant averaged null energy condition (CANEC), which is a version of the ANEC with a certain weight function for conformal invariance. In even-dimensions, however, one has to deal with gravitational conformal anomalies, which make relevant formulas much more complicated than the odd-dimensional case. In two-dimensions, we derive the ANEC by applying the no-bulk-shortcut principle. In four-dimensions, we derive an inequality which essentially provides the lower-bound for the ANEC with a weight function. For this purpose, and also to get some geometric insights into gravitational conformal anomalies, we express the stress-energy formulas in terms of geometric quantities such as the expansions of boundary null geodesics and a quasi-local mass of the boundary geometry. We argue when the lowest bound is achieved and also discuss when the averaged value of the null energy can be negative, considering a simple example of a spatially compact universe with wormhole throat.

[ { "created": "Tue, 18 Aug 2020 14:08:42 GMT", "version": "v1" } ]

2020-12-02

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

We consider averaged null energy conditions (ANEC) for strongly coupled quantum field theories in even (two and four) dimensional curved spacetimes by applying the no-bulk-shortcut principle in the context of the AdS/CFT duality. In the same context but in odd-dimensions, the present authors previously derived a conformally invariant averaged null energy condition (CANEC), which is a version of the ANEC with a certain weight function for conformal invariance. In even-dimensions, however, one has to deal with gravitational conformal anomalies, which make relevant formulas much more complicated than the odd-dimensional case. In two-dimensions, we derive the ANEC by applying the no-bulk-shortcut principle. In four-dimensions, we derive an inequality which essentially provides the lower-bound for the ANEC with a weight function. For this purpose, and also to get some geometric insights into gravitational conformal anomalies, we express the stress-energy formulas in terms of geometric quantities such as the expansions of boundary null geodesics and a quasi-local mass of the boundary geometry. We argue when the lowest bound is achieved and also discuss when the averaged value of the null energy can be negative, considering a simple example of a spatially compact universe with wormhole throat.

8.610634

9.329291

9.19934

8.722998

9.446003

9.335864

9.559237

8.555293

8.826321

9.53181

8.935591

8.439553

8.514733

8.309649

8.186666

8.649422

8.512984

8.401519

8.459353

8.633369

8.341151

hep-th/9601013

null

S. Vandoren

Covariant Quantisation in the Antifield Formalism

Latex, 151 pages, PhD thesis, KUleuven, December 1995 12 files compressed into thes.tar.gz

null

hep-th

null

In this thesis we give an overview of the antifield formalism and show how it must be used to quantise arbitrary gauge theories. The formalism is further developed and illustrated in several examples, including Yang-Mills theory, chiral $W_3$ and $W_{2,5/2}$ gravity, strings in curved backgrounds and topological field theories. All these models are characterised by their gauge algebra, which can be open, reducible, or even infinitly reducible. We show in detail how to perform the gauge fixing and how to compute the anomalies using Pauli-Villars regularisation and the heat kernel method. Finally, we discuss the geometrical structure of the antifield formalism.

[ { "created": "Thu, 4 Jan 1996 18:42:42 GMT", "version": "v1" }, { "created": "Fri, 5 Jan 1996 17:16:17 GMT", "version": "v2" } ]

2008-02-03

[ [ "Vandoren", "S.", "" ] ]

In this thesis we give an overview of the antifield formalism and show how it must be used to quantise arbitrary gauge theories. The formalism is further developed and illustrated in several examples, including Yang-Mills theory, chiral $W_3$ and $W_{2,5/2}$ gravity, strings in curved backgrounds and topological field theories. All these models are characterised by their gauge algebra, which can be open, reducible, or even infinitly reducible. We show in detail how to perform the gauge fixing and how to compute the anomalies using Pauli-Villars regularisation and the heat kernel method. Finally, we discuss the geometrical structure of the antifield formalism.

6.747618

5.973946

7.4464

6.321938

6.471855

6.397153

6.000505

6.184065

6.314523

7.497083

5.986865

6.156389

6.529765

6.092038

6.263781

6.107721

6.160338

6.159587

6.026258

6.666651

6.353858

hep-th/0507229

Alon Faraggi

Alon E. Faraggi

Higgs--Matter splitting in quasi-realistic orbifold string GUTs

23 pages. Standard Latex. Added comment. TeX feature removed from title

Eur.Phys.J.C49:803-813,2007

10.1140/epjc/s10052-006-0160-z

LTH-656

hep-th hep-ph

null

E6 grand unification combines the Standard Model matter and Higgs states in the single 27 representation. I discuss how the E6 structure underlies the quasi-realistic free fermion heterotic-string models. E6 -> SO(10) X U(1) breaking is obtained by a GSO phase in the N=1 partition function. The equivalence of this symmetry breaking phase with a particular choice of a boundary condition basis vector, which is used in the quasi-realistic models, is demonstrated in several cases. As a result matter states in the spinorial 16 representation of SO(10) arise from the twisted sectors, whereas the Higgs states arise from the untwisted sector. Possible additional phenomenological implications of this E6 symmetry breaking pattern are discussed.

[ { "created": "Sat, 23 Jul 2005 12:42:42 GMT", "version": "v1" }, { "created": "Thu, 25 Aug 2005 16:32:34 GMT", "version": "v2" }, { "created": "Fri, 26 Aug 2005 09:49:40 GMT", "version": "v3" }, { "created": "Wed, 7 Jun 2006 18:23:42 GMT", "version": "v4" } ]

2011-07-19

[ [ "Faraggi", "Alon E.", "" ] ]

E6 grand unification combines the Standard Model matter and Higgs states in the single 27 representation. I discuss how the E6 structure underlies the quasi-realistic free fermion heterotic-string models. E6 -> SO(10) X U(1) breaking is obtained by a GSO phase in the N=1 partition function. The equivalence of this symmetry breaking phase with a particular choice of a boundary condition basis vector, which is used in the quasi-realistic models, is demonstrated in several cases. As a result matter states in the spinorial 16 representation of SO(10) arise from the twisted sectors, whereas the Higgs states arise from the untwisted sector. Possible additional phenomenological implications of this E6 symmetry breaking pattern are discussed.

10.708796

9.381327

10.288662

9.371286

10.406287

9.645255

9.374006

9.14119

9.292654

11.150879

9.38589

9.489922

9.17807

8.935371

9.808811

9.570417

9.420106

8.968921

9.25367

9.104998

9.07697

1412.1919

Chen-Te Ma CTMa

Chen-Te Ma

One-Loop $\beta$ Function of the Double Sigma Model with Constant Background

23 pages, the self-duality at the off-shell level and references changed

null

10.1007/JHEP04(2015)026

null

hep-th

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

The double sigma model with the strong constraints is equivalent to a classical theory of the normal sigma model with one on-shell self-duality relation. The one-form gauge field comes from the boundary term. It is the same as the normal sigma model. The gauge symmetries under the strong constraints are the diffeomorphism and one-form gauge transformation in the double sigma model. These gauge symmetries are also the same as the Dirac-Born-Infeld (DBI) theory. The main task of this work is to compute one-loop $\beta$ function to obtain the low energy effective theory of the double sigma model. We implement the self-duality relation in the action to perform the one-loop calculation. At last, we obtain the DBI theory. We also rewrite this theory in terms of the generalized metric and scalar dilaton, and define the generalized scalar curvature and tensor from the equations of motion.

[ { "created": "Fri, 5 Dec 2014 08:43:57 GMT", "version": "v1" }, { "created": "Fri, 12 Dec 2014 07:40:30 GMT", "version": "v2" }, { "created": "Sat, 21 Feb 2015 12:41:44 GMT", "version": "v3" } ]

2015-06-23

[ [ "Ma", "Chen-Te", "" ] ]

The double sigma model with the strong constraints is equivalent to a classical theory of the normal sigma model with one on-shell self-duality relation. The one-form gauge field comes from the boundary term. It is the same as the normal sigma model. The gauge symmetries under the strong constraints are the diffeomorphism and one-form gauge transformation in the double sigma model. These gauge symmetries are also the same as the Dirac-Born-Infeld (DBI) theory. The main task of this work is to compute one-loop $\beta$ function to obtain the low energy effective theory of the double sigma model. We implement the self-duality relation in the action to perform the one-loop calculation. At last, we obtain the DBI theory. We also rewrite this theory in terms of the generalized metric and scalar dilaton, and define the generalized scalar curvature and tensor from the equations of motion.

9.798459

9.813492

10.175967

9.435854

9.757437

10.150302

10.66239

9.803039

9.677093

12.244031

9.680241

9.755207

10.445548

9.798962

9.729008

9.856775

9.813593

9.633014

9.894621

10.782125

9.618874

1103.4708

Kazuya Koyama

Kazuya Koyama (ICG, Portsmouth), Gustavo Niz (ICG, Portsmouth), Gianmassimo Tasinato (ICG, Portsmouth)

Analytic solutions in non-linear massive gravity

5 pages, 1 figure, version accepted by PRL

Phys.Rev.Lett. 107 (2011) 131101

10.1103/PhysRevLett.107.131101

null

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

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

We study spherically symmetric solutions in a covariant massive gravity model, which is a candidate for a ghost-free non-linear completion of the Fierz-Pauli theory. There is a branch of solutions that exhibits the Vainshtein mechanism, recovering General Relativity below a Vainshtein radius given by $(r_g m^2)^{1/3}$, where $m$ is the graviton mass and $r_g$ is the Schwarzschild radius of a matter source. Another branch of exact solutions exists, corresponding to Schwarzschild-de Sitter spacetimes where the curvature scale of de Sitter space is proportional to the mass squared of the graviton.

[ { "created": "Thu, 24 Mar 2011 09:33:28 GMT", "version": "v1" }, { "created": "Thu, 25 Aug 2011 12:23:54 GMT", "version": "v2" } ]

2011-11-04

[ [ "Koyama", "Kazuya", "", "ICG, Portsmouth" ], [ "Niz", "Gustavo", "", "ICG, Portsmouth" ], [ "Tasinato", "Gianmassimo", "", "ICG, Portsmouth" ] ]

We study spherically symmetric solutions in a covariant massive gravity model, which is a candidate for a ghost-free non-linear completion of the Fierz-Pauli theory. There is a branch of solutions that exhibits the Vainshtein mechanism, recovering General Relativity below a Vainshtein radius given by $(r_g m^2)^{1/3}$, where $m$ is the graviton mass and $r_g$ is the Schwarzschild radius of a matter source. Another branch of exact solutions exists, corresponding to Schwarzschild-de Sitter spacetimes where the curvature scale of de Sitter space is proportional to the mass squared of the graviton.

4.873542

4.267566

4.49572

4.068945

4.323466

4.140443

4.183925

4.144357

4.156227

4.457284

4.332115

4.344365

4.624221

4.409402

4.507597

4.443324

4.37951

4.365023

4.419048

4.634467

4.482442

1007.0355

Antonios Tsapalis

K. Anagnostopoulos, K. Farakos, P.Pasipoularides, A. Tsapalis

Non-Linear Sigma Model and asymptotic freedom at the Lifshitz point

23 pages, 2 figures

null

hep-th

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

We construct the general O(N)-symmetric non-linear sigma model in 2+1 spacetime dimensions at the Lifshitz point with dynamical critical exponent z=2. For a particular choice of the free parameters, the model is asymptotically free with the beta function coinciding to the one for the conventional sigma model in 1+1 dimensions. In this case, the model admits also a simple description in terms of adjoint currents.

[ { "created": "Fri, 2 Jul 2010 12:39:26 GMT", "version": "v1" } ]

2010-07-05

[ [ "Anagnostopoulos", "K.", "" ], [ "Farakos", "K.", "" ], [ "Pasipoularides", "P.", "" ], [ "Tsapalis", "A.", "" ] ]

We construct the general O(N)-symmetric non-linear sigma model in 2+1 spacetime dimensions at the Lifshitz point with dynamical critical exponent z=2. For a particular choice of the free parameters, the model is asymptotically free with the beta function coinciding to the one for the conventional sigma model in 1+1 dimensions. In this case, the model admits also a simple description in terms of adjoint currents.

7.178084

6.354973

6.658753

5.807471

7.13683

6.661478

6.931141

6.505783

6.251514

7.299987

6.218815

6.491136

6.625472

6.396733

6.456727

6.483406

6.622284

6.269156

6.373489

6.889144

6.430316

1011.1899

Gabriele Travaglini

Andreas Brandhuber, Bill Spence, Gabriele Travaglini, Gang Yang

Form Factors in N=4 Super Yang-Mills and Periodic Wilson Loops

26 pages, 10 figures. v2: typos fixed, comments added

JHEP 1101:134,2011

10.1007/JHEP01(2011)134

QMUL-10-18

hep-th

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

We calculate form factors of half-BPS operators in N=4 super Yang-Mills theory at tree level and one loop using novel applications of recursion relations and unitarity. In particular, we determine the expression of the one-loop form factors with two scalars and an arbitrary number of positive-helicity gluons. These quantities resemble closely the MHV scattering amplitudes, including holomorphicity of the tree-level form factor, and the expansion in terms of two-mass easy box functions of the one-loop result. Next, we compare our result for these form factors to the calculation of a particular periodic Wilson loop at one loop, finding agreement. This suggests a novel duality relating form factors to periodic Wilson loops.

[ { "created": "Mon, 8 Nov 2010 20:46:45 GMT", "version": "v1" }, { "created": "Tue, 14 Dec 2010 12:43:25 GMT", "version": "v2" } ]

2011-02-03

[ [ "Brandhuber", "Andreas", "" ], [ "Spence", "Bill", "" ], [ "Travaglini", "Gabriele", "" ], [ "Yang", "Gang", "" ] ]

We calculate form factors of half-BPS operators in N=4 super Yang-Mills theory at tree level and one loop using novel applications of recursion relations and unitarity. In particular, we determine the expression of the one-loop form factors with two scalars and an arbitrary number of positive-helicity gluons. These quantities resemble closely the MHV scattering amplitudes, including holomorphicity of the tree-level form factor, and the expansion in terms of two-mass easy box functions of the one-loop result. Next, we compare our result for these form factors to the calculation of a particular periodic Wilson loop at one loop, finding agreement. This suggests a novel duality relating form factors to periodic Wilson loops.

8.554785

7.830172

9.596188

7.48721

7.807294

8.271188

7.552814

7.818316

7.466512

10.60659

7.413849

7.796015

8.824446

7.988869

7.586872

7.780198

7.733591

7.567201

8.116504

8.887651

7.834911

hep-th/9607106

Olaf Lechtenfeld

Olaf Lechtenfeld (Univ. of Hannover, Germany)

The Self-Dual Critical N=2 String

Talk at Alushta Conference, Crimea, Ukraine, May 1996; 7 pages LaTeX

null

ITP-UH-13/96

hep-th

null

I review the covariant quantization of the closed fermionic string with (2,2) extended world-sheet supersymmetry on R^{2,2}. Results on n-point scattering amplitudes are presented, for tree- and one-loop world-sheets with arbitrary Maxwell instanton number. I elaborate the connection between Maxwell moduli, spectral flow, and instantons. It is argued that the latter serve to extend the Lorentz symmetry from U(1,1) to SO(2,2) by undoing the choice of spacetime complex structure.

[ { "created": "Sat, 13 Jul 1996 15:58:00 GMT", "version": "v1" } ]

2007-05-23

[ [ "Lechtenfeld", "Olaf", "", "Univ. of Hannover, Germany" ] ]

I review the covariant quantization of the closed fermionic string with (2,2) extended world-sheet supersymmetry on R^{2,2}. Results on n-point scattering amplitudes are presented, for tree- and one-loop world-sheets with arbitrary Maxwell instanton number. I elaborate the connection between Maxwell moduli, spectral flow, and instantons. It is argued that the latter serve to extend the Lorentz symmetry from U(1,1) to SO(2,2) by undoing the choice of spacetime complex structure.

13.146076

11.297709

13.297305

11.298347

12.294263

10.880982

11.206593

11.484577

11.323148

14.655091

10.1355

11.765498

12.457534

11.202542

10.924846

11.673782

11.164235

10.895393

11.386635

12.748444

10.964185

1506.08203

Grant Remmen

Ning Bao, Jason Pollack, and Grant N. Remmen

Splitting Spacetime and Cloning Qubits: Linking No-Go Theorems across the ER=EPR Duality

6 pages, 2 figures

Fortsch.Phys. 63 (2015) 705-710

10.1002/prop.201500053

CALT-TH-2015-033

hep-th gr-qc quant-ph

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

We analyze the no-cloning theorem in quantum mechanics through the lens of the proposed ER=EPR (Einstein-Rosen = Einstein-Podolsky-Rosen) duality between entanglement and wormholes. In particular, we find that the no-cloning theorem is dual on the gravity side to the no-go theorem for topology change, violating the axioms of which allows for wormhole stabilization and causality violation. Such a duality between important no-go theorems elucidates the proposed connection between spacetime geometry and quantum entanglement.

[ { "created": "Fri, 26 Jun 2015 20:00:34 GMT", "version": "v1" }, { "created": "Mon, 2 Nov 2015 23:09:31 GMT", "version": "v2" } ]

2015-11-04

[ [ "Bao", "Ning", "" ], [ "Pollack", "Jason", "" ], [ "Remmen", "Grant N.", "" ] ]

We analyze the no-cloning theorem in quantum mechanics through the lens of the proposed ER=EPR (Einstein-Rosen = Einstein-Podolsky-Rosen) duality between entanglement and wormholes. In particular, we find that the no-cloning theorem is dual on the gravity side to the no-go theorem for topology change, violating the axioms of which allows for wormhole stabilization and causality violation. Such a duality between important no-go theorems elucidates the proposed connection between spacetime geometry and quantum entanglement.

6.959305

6.64409

7.907653

6.44416

7.584008

7.177832

7.263292

6.555547

7.369193

9.006696

7.133791

7.00296

7.047696

6.811327

6.908306

6.84516

6.896128

6.662778

6.684

7.112433

6.872729

1412.7147

Mikhail A. Vasiliev

O.A. Gelfond and M.A. Vasiliev

Conserved Higher-Spin Charges in $AdS_4$

16 pages; V2 clarifications and references added, typos corrected; V3 to be published, 18 pages, further explanations and references added

null

FIAN/TD/2014-22

hep-th

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

Gauge invariant conserved conformal currents built from massless fields of all spins in 4d Minkowski space-time and $AdS_4$ are described within the unfolded dynamics approach. The current cohomology associated with non-zero conserved charges is found. The resulting list of charges is shown to match the space of parameters of the conformal higher-spin symmetry algebra in four dimensions.

[ { "created": "Mon, 22 Dec 2014 20:52:47 GMT", "version": "v1" }, { "created": "Fri, 11 Sep 2015 23:23:09 GMT", "version": "v2" }, { "created": "Wed, 20 Jan 2016 20:58:05 GMT", "version": "v3" } ]

2016-01-21

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

Gauge invariant conserved conformal currents built from massless fields of all spins in 4d Minkowski space-time and $AdS_4$ are described within the unfolded dynamics approach. The current cohomology associated with non-zero conserved charges is found. The resulting list of charges is shown to match the space of parameters of the conformal higher-spin symmetry algebra in four dimensions.

13.221176

9.375566

12.436386

9.693019

10.07453

9.586267

10.30952

8.910961

10.090766

13.110787

8.971148

9.837304

11.320965

10.509032

10.493832

10.353754

9.967134

10.511012

10.266875

11.46145

10.440825

2108.07986

Mu-In Park

Nils A. Nilsson and Mu-In Park

Tests of Standard Cosmology in Horava Gravity and Bayesian Evidence for a Closed Universe, and the Hubble Tension

Changed title, Corrected typos, Added Ref; 23 pages, 6 figures, 2 tables

null

10.1140/epjc/s10052-022-10839-3

null

hep-th astro-ph.CO gr-qc

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

We consider some background tests of standard cosmology in the context of Horava gravity with different scaling dimensions for space and time, which has been proposed as a renormalizable, higher-derivative, Lorentz-violating quantum gravity model without ghost problems. We obtain the "very strong" and "strong" Bayesian evidence for our two cosmology models A and B, respectively, depending on the choice of parametrization based on Horava gravity, against the standard, spatially-flat, LCDM cosmology model based on general relativity. An MCMC analysis with observational data, including BAO, shows (a) preference of a closed universe with the curvature density parameter Omega_k=-0.005+- 0.0007, -0.004+0.003-0.001 and (b) reduction of the Hubble tension with the Hubble constant H_0=71.4+1.2-0.9, 69.5+1.6-0.9 km s^{-1} Mpc^{-1} for the models A, B. We comment on some possible further improvements for the "cosmic-tension problem" by considering more complete early universe physics, based on the Lorentz-violating standard model with anisotropic space-time scaling, consistently with Horava gravity, as well as the observational data which are properly adopted for the closed universe.

[ { "created": "Wed, 18 Aug 2021 06:06:17 GMT", "version": "v1" }, { "created": "Sat, 7 May 2022 15:38:01 GMT", "version": "v2" }, { "created": "Fri, 16 Sep 2022 10:07:47 GMT", "version": "v3" } ]

2022-10-19

[ [ "Nilsson", "Nils A.", "" ], [ "Park", "Mu-In", "" ] ]

We consider some background tests of standard cosmology in the context of Horava gravity with different scaling dimensions for space and time, which has been proposed as a renormalizable, higher-derivative, Lorentz-violating quantum gravity model without ghost problems. We obtain the "very strong" and "strong" Bayesian evidence for our two cosmology models A and B, respectively, depending on the choice of parametrization based on Horava gravity, against the standard, spatially-flat, LCDM cosmology model based on general relativity. An MCMC analysis with observational data, including BAO, shows (a) preference of a closed universe with the curvature density parameter Omega_k=-0.005+- 0.0007, -0.004+0.003-0.001 and (b) reduction of the Hubble tension with the Hubble constant H_0=71.4+1.2-0.9, 69.5+1.6-0.9 km s^{-1} Mpc^{-1} for the models A, B. We comment on some possible further improvements for the "cosmic-tension problem" by considering more complete early universe physics, based on the Lorentz-violating standard model with anisotropic space-time scaling, consistently with Horava gravity, as well as the observational data which are properly adopted for the closed universe.

9.305877

10.022804

9.821272

9.451368

10.397652

10.269737

10.140644

10.042466

8.94975

10.749047

9.381989

9.646811

9.461359

9.196158

9.201391

9.742877

9.286486

9.543255

9.398616

9.703576

9.303906

hep-th/9707032

Juan Carlos Perez Bueno

J. C. Perez Bueno

Generalized Jacobi structures

Latex2e file. 11 pages. To appear in J. Phys. A

J.Phys.A30:6509-6515,1997

10.1088/0305-4470/30/18/024

null

hep-th math-ph math.MP

null

Jacobi brackets (a generalization of standard Poisson brackets in which Leibniz's rule is replaced by a weaker condition) are extended to brackets involving an arbitrary (even) number of functions. This new structure includes, as a particular case, the recently introduced generalized Poisson structures. The linear case on simple group manifolds is also studied and non-trivial examples (different from those coming from generalized Poisson structures) of this new construction are found by using the cohomology ring of the given group.

[ { "created": "Wed, 2 Jul 1997 14:06:35 GMT", "version": "v1" } ]

2008-11-26

[ [ "Bueno", "J. C. Perez", "" ] ]

Jacobi brackets (a generalization of standard Poisson brackets in which Leibniz's rule is replaced by a weaker condition) are extended to brackets involving an arbitrary (even) number of functions. This new structure includes, as a particular case, the recently introduced generalized Poisson structures. The linear case on simple group manifolds is also studied and non-trivial examples (different from those coming from generalized Poisson structures) of this new construction are found by using the cohomology ring of the given group.

10.404029

9.166362

11.808356

8.966588

11.546968

9.512674

9.225024

9.701194

10.039817

10.477229

9.040931

9.312183

9.837646

9.284418

9.270421

9.2797

9.453458

9.423814

9.693685

10.062328

9.263521

hep-th/9211133

Denis Bernard

An Introduction to Yangian Symmetries

14 pages, SPTh-92-134, (The Tex has been corrected)

Int.J.Mod.Phys.B7:3517-3530,1993

10.1142/S0217979293003371

null

hep-th

null

We review some aspects of the quantum Yangians as symmetry algebras of two-dimensional quantum field theories. The plan of these notes is the following: 1 - The classical Heisenberg model: Non-Abelian symmetries; The generators of the symmetries and the semi-classical Yangians; An alternative presentation of the semi-classical Yangians; Digression on Poisson-Lie groups. 2 - The quantum Heisenberg chain: Non-Abelian symmetries and the quantum Yangians; The transfer matrix and an alternative presentation of the Yangians; Digression on the double Yangians. Talk given at the "Integrable Quantum Field Theories" conference held at Come, Italy , September 13-19, 1992.

[ { "created": "Mon, 30 Nov 1992 09:20:19 GMT", "version": "v1" }, { "created": "Tue, 1 Dec 1992 14:06:04 GMT", "version": "v2" } ]

2008-11-26

[ [ "Bernard", "Denis", "" ] ]

We review some aspects of the quantum Yangians as symmetry algebras of two-dimensional quantum field theories. The plan of these notes is the following: 1 - The classical Heisenberg model: Non-Abelian symmetries; The generators of the symmetries and the semi-classical Yangians; An alternative presentation of the semi-classical Yangians; Digression on Poisson-Lie groups. 2 - The quantum Heisenberg chain: Non-Abelian symmetries and the quantum Yangians; The transfer matrix and an alternative presentation of the Yangians; Digression on the double Yangians. Talk given at the "Integrable Quantum Field Theories" conference held at Come, Italy , September 13-19, 1992.

6.458081

6.712886

6.91125

6.09438

6.407578

6.554669

6.71042

6.152384

6.500598

6.848577

6.203562

6.116316

6.327003

6.221204

6.133105

6.006042

6.118405

6.098281

6.141314

6.342926

5.846832

1809.00629

Shi Cheng

Shi Cheng, Sung-Soo Kim

Refined topological vertex for a 5D $Sp(N)$ gauge theory with antisymmetric matter

52 pages, 33 figures

Phys. Rev. D 104, 086004 (2021)

10.1103/PhysRevD.104.086004

null

hep-th

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

We consider Type IIB 5-brane web diagrams for a 5D $Sp(N)$ gauge theory with an antisymmetric hypermultiplet and $N_f$ fundamental hypermultiplets. The corresponding 5-branes can be obtained by Higgsing a 5-brane web for quiver gauge theory. We use the refined topological vertex formalism to compute Nekrasov partition functions of 5D $Sp(2)$ theories with one antisymmetric hypermultiplet and flavors. Our results agree with the known results obtained from the ADHM method. We also discuss a particular tuning of K\"ahler parameters associated with this Higgsing.

[ { "created": "Mon, 3 Sep 2018 15:33:25 GMT", "version": "v1" }, { "created": "Wed, 13 Oct 2021 21:36:40 GMT", "version": "v2" } ]

2021-10-15

[ [ "Cheng", "Shi", "" ], [ "Kim", "Sung-Soo", "" ] ]

We consider Type IIB 5-brane web diagrams for a 5D $Sp(N)$ gauge theory with an antisymmetric hypermultiplet and $N_f$ fundamental hypermultiplets. The corresponding 5-branes can be obtained by Higgsing a 5-brane web for quiver gauge theory. We use the refined topological vertex formalism to compute Nekrasov partition functions of 5D $Sp(2)$ theories with one antisymmetric hypermultiplet and flavors. Our results agree with the known results obtained from the ADHM method. We also discuss a particular tuning of K\"ahler parameters associated with this Higgsing.

5.639733

4.675298

7.206076

4.985982

4.845208

5.172413

5.020972

5.12534

5.070591

7.17314

5.201059

5.200155

6.371272

5.183542

5.411005

5.108982

5.086698

5.139603

5.327138

6.01589

5.089008

hep-th/0110214

Ali Kaya

On Conifolds and D3-branes

11 pages, Latex, references and a note added, to appear in Physics Letters B

Phys.Lett. B524 (2002) 348-356

10.1016/S0370-2693(01)01385-5

null

hep-th

null

We search for Ricci flat, K\"{a}hler geometries which are asymptotic to the cone whose base is the space T^{11} by working out covariantly constant spinor equations. The metrics we find are singular in the interior and introducing parallel D3-branes does not form regular event horizons cloaking the naked singularities. We also work out a supersymmetric ansatz involving only the metric and the 5-form field corresponding to D3-branes wrapping over the non-trivial 2-cycle of T^{11}. We find a system of first-order equations and argue that the solution has an event horizon and the ADM mass per unit volume diverges logarithmically.

[ { "created": "Tue, 23 Oct 2001 21:08:18 GMT", "version": "v1" }, { "created": "Sun, 25 Nov 2001 17:00:54 GMT", "version": "v2" } ]

2009-11-07

[ [ "Kaya", "Ali", "" ] ]

We search for Ricci flat, K\"{a}hler geometries which are asymptotic to the cone whose base is the space T^{11} by working out covariantly constant spinor equations. The metrics we find are singular in the interior and introducing parallel D3-branes does not form regular event horizons cloaking the naked singularities. We also work out a supersymmetric ansatz involving only the metric and the 5-form field corresponding to D3-branes wrapping over the non-trivial 2-cycle of T^{11}. We find a system of first-order equations and argue that the solution has an event horizon and the ADM mass per unit volume diverges logarithmically.

13.064954

11.973051

14.713658

11.752419

12.589303

11.758264

11.51486

11.166632

10.82352

17.410065

10.89593

12.825117

13.830132

12.235302

12.179279

11.622541

12.190952

12.405807

11.671539

13.811695

11.552959

2312.13924

Gerben Oling

J{\o}rgen Musaeus, Niels A. Obers, Gerben Oling

Setting the connection free in the Galilei and Carroll expansions of gravity

23+5 pages; v2: minor changes, published version

null

10.1103/PhysRevD.109.104040

NORDITA 2023-093

hep-th gr-qc

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

We obtain a Palatini-type formulation for the Galilei and Carroll expansions of general relativity, where the connection is promoted to a variable. Known versions of these large and small speed of light expansions are derived from the Einstein-Hilbert action and involve dynamical Newton-Cartan or Carroll geometry, along with additional gauge fields at subleading orders. The corresponding Palatini actions that we obtain in this paper are derived from an appropriate expansion of the Einstein-Palatini action, and the connection variable reduces to the Galilei- or Carroll-adapted connection on shell. In particular, we present the Palatini form for the next-to-leading order Galilean action and recover the known equations of motion. We also compute the leading-order Palatini-type action for the Carrollian case and show that, while it depends on the connection variable, it reduces on shell to the known action of electric Carroll gravity, which only depends on extrinsic curvature.

[ { "created": "Thu, 21 Dec 2023 15:12:33 GMT", "version": "v1" }, { "created": "Mon, 13 May 2024 16:05:20 GMT", "version": "v2" } ]

2024-05-14

[ [ "Musaeus", "Jørgen", "" ], [ "Obers", "Niels A.", "" ], [ "Oling", "Gerben", "" ] ]

We obtain a Palatini-type formulation for the Galilei and Carroll expansions of general relativity, where the connection is promoted to a variable. Known versions of these large and small speed of light expansions are derived from the Einstein-Hilbert action and involve dynamical Newton-Cartan or Carroll geometry, along with additional gauge fields at subleading orders. The corresponding Palatini actions that we obtain in this paper are derived from an appropriate expansion of the Einstein-Palatini action, and the connection variable reduces to the Galilei- or Carroll-adapted connection on shell. In particular, we present the Palatini form for the next-to-leading order Galilean action and recover the known equations of motion. We also compute the leading-order Palatini-type action for the Carrollian case and show that, while it depends on the connection variable, it reduces on shell to the known action of electric Carroll gravity, which only depends on extrinsic curvature.

8.385098

8.070752

8.648211

7.74262

9.31082

7.928894

8.080812

8.320961

8.600907

9.256167

7.872091

8.468454

8.270791

8.239791

8.060595

8.071237

8.302262

8.309628

8.036986

8.509154

7.811542

1703.04744

Ian Jardine

Benjamin A. Burrington (Hofstra U.), Ian T. Jardine (Toronto U.), and Amanda W. Peet (Toronto U.)

Operator mixing in deformed D1D5 CFT and the OPE on the cover

23 pages

null

10.1007/JHEP06(2017)149

null

hep-th

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

We consider the D1D5 CFT near the orbifold point and develop methods for computing the mixing of untwisted operators to first order by using the OPE on the covering surface. We argue that the OPE on the cover encodes both the structure constants for the orbifold CFT and the explicit form of the mixing operators. We show this explicitly for some example operators. We start by considering a family of operators dual to supergravity modes, and show that the OPE implies that there is no shift in the anomalous dimension to first order, as expected. We specialize to the operator dual to the dilaton, and show that the leading order singularity in the OPE reproduces the correct structure constant. Finally, we consider an unprotected operator of conformal dimension (2,2), and show that the leading order singularity and one of the subleading singularies both reproduce the correct structure constant. We check that the operator produced at subleading order using the OPE method is correct by calculating a number of three point functions using a Mathematica package we developed. Further development of this OPE technique should lead to more efficient calculations for the D1D5 CFT perturbed away from the orbifold point.

[ { "created": "Tue, 14 Mar 2017 21:53:30 GMT", "version": "v1" } ]

2017-08-02

[ [ "Burrington", "Benjamin A.", "", "Hofstra U." ], [ "Jardine", "Ian T.", "", "Toronto U." ], [ "Peet", "Amanda W.", "", "Toronto U." ] ]

We consider the D1D5 CFT near the orbifold point and develop methods for computing the mixing of untwisted operators to first order by using the OPE on the covering surface. We argue that the OPE on the cover encodes both the structure constants for the orbifold CFT and the explicit form of the mixing operators. We show this explicitly for some example operators. We start by considering a family of operators dual to supergravity modes, and show that the OPE implies that there is no shift in the anomalous dimension to first order, as expected. We specialize to the operator dual to the dilaton, and show that the leading order singularity in the OPE reproduces the correct structure constant. Finally, we consider an unprotected operator of conformal dimension (2,2), and show that the leading order singularity and one of the subleading singularies both reproduce the correct structure constant. We check that the operator produced at subleading order using the OPE method is correct by calculating a number of three point functions using a Mathematica package we developed. Further development of this OPE technique should lead to more efficient calculations for the D1D5 CFT perturbed away from the orbifold point.

7.176652

7.789315

8.127082

7.039108

7.323282

7.161512

7.429792

6.968167

7.019415

8.597217

6.986563

7.100012

7.498125

7.217356

7.214736

7.283817

7.335682

7.097249

7.086541

7.23965

7.130558

2010.12581

Max Zimet

Arnav Tripathy and Max Zimet

A plethora of K3 metrics

72 pages

null

hep-th math.DG

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

We extend our recent study of K3 metrics near the $T^4/Z_2$ orbifold locus to the other torus orbifold loci. In particular, we provide several new constructions of K3 surfaces as hyper-K\"ahler quotients, which yield new formulae for K3 metrics. We then relate these to the construction of arXiv:1810.10540. As a corollary, we derive infinitely many constraints on the (as yet unknown) BPS spectra of the Minahan-Nemeschansky SCFTs with $E_n$ global symmetry. Specifically, we find linear combinations of $E_n$ characters (evaluated at different points) hiding within K3 metrics and we compute their second order Taylor expansions. We also find novel strong relationships between the BPS spectra of these SCFTs, as well as with that of the $SU(2)$ $N_f = 4$ SCFT. Finally, we provide a new derivation of the class S constructions of these SCFTs and state some experimental observations regarding their BPS spectra.

[ { "created": "Fri, 23 Oct 2020 18:00:00 GMT", "version": "v1" } ]

2020-10-27

[ [ "Tripathy", "Arnav", "" ], [ "Zimet", "Max", "" ] ]

We extend our recent study of K3 metrics near the $T^4/Z_2$ orbifold locus to the other torus orbifold loci. In particular, we provide several new constructions of K3 surfaces as hyper-K\"ahler quotients, which yield new formulae for K3 metrics. We then relate these to the construction of arXiv:1810.10540. As a corollary, we derive infinitely many constraints on the (as yet unknown) BPS spectra of the Minahan-Nemeschansky SCFTs with $E_n$ global symmetry. Specifically, we find linear combinations of $E_n$ characters (evaluated at different points) hiding within K3 metrics and we compute their second order Taylor expansions. We also find novel strong relationships between the BPS spectra of these SCFTs, as well as with that of the $SU(2)$ $N_f = 4$ SCFT. Finally, we provide a new derivation of the class S constructions of these SCFTs and state some experimental observations regarding their BPS spectra.

9.208601

9.235383

10.360844

8.704395

9.336191

8.985179

9.130633

8.896894

8.650777

11.066199

8.536736

8.51025

8.921488

8.750779

8.818765

8.865675

8.619191

8.61566

8.679232

8.692831

8.600571

hep-th/0612140

Marco Peloso

Burak Himmetoglu, Marco Peloso

Isolated Minkowski vacua, and stability analysis for an extended brane in the rugby ball

12 pages, 4 .eps figures

Nucl.Phys.B773:84-104,2007

10.1016/j.nuclphysb.2007.03.024

UMN-TH-2531/06

hep-th

null

We study a recently proposed model, where a codimension one brane is wrapped around the axis of symmetry of an internal two dimensional space compactified by a flux. This construction is free from the problems which plague delta-like, codimension two branes, where only tension can be present. In contrast, arbitrary fields can be localized on this extended brane, and their gravitational interaction is standard 4d gravity at large distance. In the first part of this note, we study the de Sitter (dS) vacua of the model. The landscape of these vacua is characterized by discrete points labeled by two integer numbers, related to the flux responsible for the compactification and to the current of a brane field. A Minkowski external space emerges only for a special ratio between these two integers, and it is therefore (topologically) isolated from the nearby dS solutions. In the second part, we show that the Minkowski vacua are stable under the most generic axially-symmetric perturbations (we argue that this is sufficient to ensure the overall stability).

[ { "created": "Thu, 14 Dec 2006 17:51:44 GMT", "version": "v1" } ]

2008-11-26

[ [ "Himmetoglu", "Burak", "" ], [ "Peloso", "Marco", "" ] ]

We study a recently proposed model, where a codimension one brane is wrapped around the axis of symmetry of an internal two dimensional space compactified by a flux. This construction is free from the problems which plague delta-like, codimension two branes, where only tension can be present. In contrast, arbitrary fields can be localized on this extended brane, and their gravitational interaction is standard 4d gravity at large distance. In the first part of this note, we study the de Sitter (dS) vacua of the model. The landscape of these vacua is characterized by discrete points labeled by two integer numbers, related to the flux responsible for the compactification and to the current of a brane field. A Minkowski external space emerges only for a special ratio between these two integers, and it is therefore (topologically) isolated from the nearby dS solutions. In the second part, we show that the Minkowski vacua are stable under the most generic axially-symmetric perturbations (we argue that this is sufficient to ensure the overall stability).

10.914245

11.796103

11.293815

10.518728

11.827946

10.664782

11.809829

11.131899

11.074759

11.874425

10.390806

10.412819

10.38022

10.594751

10.551507

10.544538

10.53933

10.35222

10.499438

10.692648

10.210065

2002.04729

Pierre Ramond

The Freund-Rubin Coset, Textures and Group Theory

10 pages

null

10.1088/1751-8121/ab9d45

null

hep-th

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

Contribution to the Peter Freund Memorial volume: a glossary of group-theoretic facts that may relate the seven-dimensional Freund-Rubin coset to Yukawa textures.

[ { "created": "Tue, 11 Feb 2020 23:14:40 GMT", "version": "v1" } ]

2020-08-26

[ [ "Ramond", "Pierre", "" ] ]

Contribution to the Peter Freund Memorial volume: a glossary of group-theoretic facts that may relate the seven-dimensional Freund-Rubin coset to Yukawa textures.

91.523163

32.885895

58.17025

37.167206

52.6385

44.821453

52.067284

43.288433

36.652309

52.507267

52.908009

40.152592

48.883297

40.572449

41.372627

41.762066

35.475746

41.646767

37.958427

44.610226

42.21299

1609.00007

Jacob Bourjaily

Jacob L. Bourjaily, Paul Heslop, and Vuong-Viet Tran

Amplitudes and Correlators to Ten Loops Using Simple, Graphical Bootstraps

35 pages, 52 figures, and 6 tables. Complete expressions for the amplitude and correlator through ten loops can be obtained at: http://goo.gl/JH0yEc

null

10.1007/JHEP11(2016)125

DCPT-16/31

hep-th

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

We introduce two new graphical-level relations among possible contributions to the four-point correlation function and scattering amplitude in planar, maximally supersymmetric Yang-Mills theory. When combined with the rung rule, these prove powerful enough to fully determine both functions through ten loops. This then also yields the full five-point amplitude to eight loops and the parity-even part to nine loops. We derive these rules, illustrate their applications, compare their relative strengths for fixing coefficients, and survey some of the features of the previously unknown nine and ten loop expressions. Explicit formulae for amplitudes and correlators through ten loops are available at: http://goo.gl/JH0yEc.

[ { "created": "Wed, 31 Aug 2016 20:00:00 GMT", "version": "v1" } ]

2016-12-21

[ [ "Bourjaily", "Jacob L.", "" ], [ "Heslop", "Paul", "" ], [ "Tran", "Vuong-Viet", "" ] ]

We introduce two new graphical-level relations among possible contributions to the four-point correlation function and scattering amplitude in planar, maximally supersymmetric Yang-Mills theory. When combined with the rung rule, these prove powerful enough to fully determine both functions through ten loops. This then also yields the full five-point amplitude to eight loops and the parity-even part to nine loops. We derive these rules, illustrate their applications, compare their relative strengths for fixing coefficients, and survey some of the features of the previously unknown nine and ten loop expressions. Explicit formulae for amplitudes and correlators through ten loops are available at: http://goo.gl/JH0yEc.

17.497782

15.247413

18.865084

14.347961

15.400152

15.561685

16.07789

15.29488

15.212651

18.542841

15.508138

15.810955

16.64884

15.2239

15.012931

14.948552

15.188208

14.816832

14.722228

16.008324

16.033337

hep-th/9702075

Saurya Das

Saurya Das, Arundhati Dasgupta and Tapobrata Sarkar

High Energy Effects on D-Brane and Black Hole Emission Rates

22 pages, REVTeX; minor typos corrected, version to appear in Physical Review D

Phys. Rev. D 55, 7693 (1997)

10.1103/PhysRevD.55.7693

IMSc-96/12/32

hep-th gr-qc

null

We study the emission of scalar particles from a class of near-extremal five dimensional black holes and the corresponding D-brane configuration at high energies. We show that the distribution functions and the black hole greybody factors are modified in the high energy tail of the Hawking spectrum in such way that the emission rates exactly match. We extend the results to charged scalar emission and to four dimensions.

[ { "created": "Sun, 9 Feb 1997 21:18:20 GMT", "version": "v1" }, { "created": "Wed, 26 Mar 1997 21:34:04 GMT", "version": "v2" } ]

2016-08-24

[ [ "Das", "Saurya", "" ], [ "Dasgupta", "Arundhati", "" ], [ "Sarkar", "Tapobrata", "" ] ]

We study the emission of scalar particles from a class of near-extremal five dimensional black holes and the corresponding D-brane configuration at high energies. We show that the distribution functions and the black hole greybody factors are modified in the high energy tail of the Hawking spectrum in such way that the emission rates exactly match. We extend the results to charged scalar emission and to four dimensions.

11.819364

8.131032

11.02518

9.456213

9.47968

8.975618

8.816384

10.489101

8.77927

11.815042

9.139607

9.515039

10.635706

9.949822

9.471478

9.592694

9.836432

9.853357

9.89429

10.542273

9.207562

1101.5898

Pesando Igor

Igor Pesando

Strings in an arbitrary constant magnetic field with arbitrary constant metric and stringy form factors

45 pages

null

10.1007/JHEP06(2011)138

DFTTO-2010-8

hep-th

http://creativecommons.org/licenses/by-nc-sa/3.0/

We quantize the open string in an arbitrary constant magnetic field with a non factorized metric on a torus. We then discuss carefully the vertexes which describe the emission of dipole open strings and closed strings in the non compact limit. Finally we compute various stringy form factors which in the compact case induces a Kaehler and complex structure dependence and suppression of some amplitudes with KK states.

[ { "created": "Mon, 31 Jan 2011 10:22:01 GMT", "version": "v1" } ]

2015-05-27

[ [ "Pesando", "Igor", "" ] ]

We quantize the open string in an arbitrary constant magnetic field with a non factorized metric on a torus. We then discuss carefully the vertexes which describe the emission of dipole open strings and closed strings in the non compact limit. Finally we compute various stringy form factors which in the compact case induces a Kaehler and complex structure dependence and suppression of some amplitudes with KK states.

33.209042

27.969872

32.053665

26.28216

30.12669

33.865646

28.769764

31.062744

27.333168

43.005768

29.428917

30.573046

32.060619

28.912376

31.09964

29.486563

27.455278

28.73661

29.932772

31.930161

28.878674

1709.03511

Emery Sokatchev

Dmitry Chicherin and Emery Sokatchev

Conformal anomaly of generalized form factors and finite loop integrals

36 pages, 9 figures; reference added, typos corrected

null

10.1007/JHEP04(2018)082

null

hep-th

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

We reveal a new mechanism of conformal symmetry breaking at Born level. It occurs in generalized form factors with several local operators and an on-shell state of massless particles. The effect is due to hidden singularities on collinear configurations of the momenta. This conformal anomaly is different from the holomorphic anomaly of amplitudes. We present a number of examples in four and six dimensions. We find an application of the new conformal anomaly to finite loop momentum integrals with one or more massless legs. The collinear region around a massless leg creates a contact anomaly, made visible by the loop integration. The anomalous conformal Ward identity for an $\ell-$loop integral is a 2nd-order differential equation whose right-hand side is an $(\ell-1)-$loop integral. We show several examples, in particular the four-dimensional scalar double box.

[ { "created": "Mon, 11 Sep 2017 18:00:04 GMT", "version": "v1" }, { "created": "Wed, 20 Dec 2017 18:12:32 GMT", "version": "v2" } ]

2018-05-09

[ [ "Chicherin", "Dmitry", "" ], [ "Sokatchev", "Emery", "" ] ]

We reveal a new mechanism of conformal symmetry breaking at Born level. It occurs in generalized form factors with several local operators and an on-shell state of massless particles. The effect is due to hidden singularities on collinear configurations of the momenta. This conformal anomaly is different from the holomorphic anomaly of amplitudes. We present a number of examples in four and six dimensions. We find an application of the new conformal anomaly to finite loop momentum integrals with one or more massless legs. The collinear region around a massless leg creates a contact anomaly, made visible by the loop integration. The anomalous conformal Ward identity for an $\ell-$loop integral is a 2nd-order differential equation whose right-hand side is an $(\ell-1)-$loop integral. We show several examples, in particular the four-dimensional scalar double box.

10.571243

11.031502

11.888377

10.470914

10.824766

10.261492

10.256622

10.5563

9.868562

12.09015

10.538318

10.655849

11.370217

10.377172

9.94068

10.289987

10.558742

10.596416

10.530106

11.140865

10.238823

0706.1411

Arpad Hegedus

Finite size effects and 2-string deviations in the spin-1 XXZ chains

null

J.Phys.A40:12007-12032,2007

10.1088/1751-8113/40/40/001

null

hep-th

null

In an earlier work [1] J. Suzuki proposed a set of nonlinear integral equations (NLIE) to describe the excited state spectrum of the integrable spin-1 XXZ chain in its repulsive regime. In this paper we extend his equations for the attractive regime of the model, and calculate analytically the conformal spectrum of the spin chain. We also discuss the typical root configurations of the thermodynamic limit as well as the 2-string deviations of certain excited states of the model. Special objects appearing in the NLIE are also treated with special care.

[ { "created": "Mon, 11 Jun 2007 07:12:47 GMT", "version": "v1" }, { "created": "Mon, 27 Aug 2007 15:42:40 GMT", "version": "v2" } ]

2008-11-26

[ [ "Hegedus", "Arpad", "" ] ]

In an earlier work [1] J. Suzuki proposed a set of nonlinear integral equations (NLIE) to describe the excited state spectrum of the integrable spin-1 XXZ chain in its repulsive regime. In this paper we extend his equations for the attractive regime of the model, and calculate analytically the conformal spectrum of the spin chain. We also discuss the typical root configurations of the thermodynamic limit as well as the 2-string deviations of certain excited states of the model. Special objects appearing in the NLIE are also treated with special care.

12.502176

13.206885

15.599412

12.058267

12.483972

12.551303

13.795813

11.416061

11.925201

15.578936

12.35494

11.552626

12.537482

11.89401

11.848042

11.597538

11.545319

11.95479

11.96003

12.040811

11.594465

2106.00138

Min-Seok Seo

Implication of the swampland distance conjecture on the Cohen-Kaplan-Nelson bound in de Sitter space

7 pages, 1 figure, Version published in Eur. Phys. J. C

Eur.Phys.J.C 82 (2022) 338

10.1140/epjc/s10052-022-10321-0

null

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

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

The Cohen-Kaplan-Nelson (CKN) bound formulates the condition that black hole is not produced by the low energy effective field theory dynamics. In de Sitter space it also constrains the maximal size of the matter distribution to be smaller than the cosmological horizon determined by black hole. On the other hand, the swampland distance conjecture (SDC) predicts that de Sitter space becomes unstable by the descent of the low energy degrees of freedom from UV. This results in the rapid increase in the energy inside the cosmological horizon, the distribution of which can be constrained by the CKN bound. We study the CKN bound in de Sitter space in detail and point out that when compared with the slow-roll in the inflation, the bound on the slow-roll parameter which forbids the eternal inflation is obtained.

[ { "created": "Mon, 31 May 2021 23:09:44 GMT", "version": "v1" }, { "created": "Mon, 14 Mar 2022 23:07:53 GMT", "version": "v2" }, { "created": "Tue, 19 Apr 2022 23:33:06 GMT", "version": "v3" } ]

2022-04-21

[ [ "Seo", "Min-Seok", "" ] ]

The Cohen-Kaplan-Nelson (CKN) bound formulates the condition that black hole is not produced by the low energy effective field theory dynamics. In de Sitter space it also constrains the maximal size of the matter distribution to be smaller than the cosmological horizon determined by black hole. On the other hand, the swampland distance conjecture (SDC) predicts that de Sitter space becomes unstable by the descent of the low energy degrees of freedom from UV. This results in the rapid increase in the energy inside the cosmological horizon, the distribution of which can be constrained by the CKN bound. We study the CKN bound in de Sitter space in detail and point out that when compared with the slow-roll in the inflation, the bound on the slow-roll parameter which forbids the eternal inflation is obtained.

10.181061

9.626474

9.938137

8.931324

8.764062

9.157827

9.724054

8.824503

8.766523

10.570726

10.173185

9.476928

9.7345

9.104792

9.517549

9.407388

9.568127

8.946138

9.530769

9.618294

9.47004

2005.10563

Andrei Mironov

H. Awata, H. Kanno, A. Mironov, A. Morozov

Elliptic lift of the Shiraishi function as a non-stationary double-elliptic function

21 pages

J. High Energ. Phys. 2020 (2020) 150

10.1007/JHEP08(2020)150

FIAN/TD-01/20; IITP/TH-01/20; ITEP/TH-01/20; MIPT/TH-01/20

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

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

As a development of arXiv:1912.12897, we note that the ordinary Shiraishi functions have an insufficient number of parameters to describe generic eigenfunctions of double elliptic system (Dell). The lacking parameter can be provided by substituting elliptic instead of the ordinary Gamma functions in the coefficients of the series. These new functions (ELS-functions) are conjectured to be functions governed by compactified DIM networks which can simultaneously play the three roles: solutions to non-stationary Dell equations, Dell conformal blocks with the degenerate field (surface operator) insertion, and the corresponding instanton sums in $6d$ SUSY gauge theories with adjoint matter. We describe the basics of the corresponding construction and make further conjectures about the various limits and dualities which need to be checked to make a precise statement about the Dell description by double-periodic network models with DIM symmetry. We also demonstrate that the ELS-functions provide symmetric polynomials, which are an elliptic generalization of Macdonald ones, and compute the generation function of the elliptic genera of the affine Laumon spaces. In the particular $U(1)$ case, we find an explicit plethystic formula for the $6d$ partition function, which is a non-trivial elliptic generalization of the $(q,t)$ Nekrasov-Okounkov formula from $5d$.

[ { "created": "Thu, 21 May 2020 10:47:21 GMT", "version": "v1" }, { "created": "Fri, 24 Jul 2020 09:27:30 GMT", "version": "v2" } ]

2020-09-04

[ [ "Awata", "H.", "" ], [ "Kanno", "H.", "" ], [ "Mironov", "A.", "" ], [ "Morozov", "A.", "" ] ]

As a development of arXiv:1912.12897, we note that the ordinary Shiraishi functions have an insufficient number of parameters to describe generic eigenfunctions of double elliptic system (Dell). The lacking parameter can be provided by substituting elliptic instead of the ordinary Gamma functions in the coefficients of the series. These new functions (ELS-functions) are conjectured to be functions governed by compactified DIM networks which can simultaneously play the three roles: solutions to non-stationary Dell equations, Dell conformal blocks with the degenerate field (surface operator) insertion, and the corresponding instanton sums in $6d$ SUSY gauge theories with adjoint matter. We describe the basics of the corresponding construction and make further conjectures about the various limits and dualities which need to be checked to make a precise statement about the Dell description by double-periodic network models with DIM symmetry. We also demonstrate that the ELS-functions provide symmetric polynomials, which are an elliptic generalization of Macdonald ones, and compute the generation function of the elliptic genera of the affine Laumon spaces. In the particular $U(1)$ case, we find an explicit plethystic formula for the $6d$ partition function, which is a non-trivial elliptic generalization of the $(q,t)$ Nekrasov-Okounkov formula from $5d$.

15.831744

15.498979

19.275473

16.463732

16.66

15.527699

15.178976

15.003482

14.837983

19.265995

14.899126

15.256958

15.82883

15.076338

15.164761

15.019752

14.694869

14.652345

14.716146

15.968937

15.208301

hep-th/0005035

Francesco Toppan

M.A. De Andrade (1 and 2), M. Rojas (1) and F. Toppan (1) ((1) CBPF, Rio de Janeiro, Brazil, (2) UCP, Petropolis, Brazil)

The Signature Triality of Majorana-Weyl Spacetimes

28 pages, LaTex. Extended version of hep-th/9907148

Int.J.Mod.Phys. A16 (2001) 4453-4480

10.1142/S0217751X01005432

CBPF-NF-009/00

hep-th

null

Higher dimensional Majorana-Weyl spacetimes present space-time dualities which are induced by the Spin(8) triality automorphisms. Different signature versions of theories such as 10-dimensional SYM's, superstrings, five-branes, F-theory, are shown to be interconnected via the S_3 permutation group. Bilinear and trilinear invariants under space-time triality are introduced and their possible relevance in building models possessing a space-versus-time exchange symmetry is discussed. Moreover the Cartan's ``vector/chiral spinor/antichiral spinor" triality of SO(8) and SO(4,4) is analyzed in detail and explicit formulas are produced in a Majorana-Weyl basis. This paper is the extended version of hep-th/9907148.

[ { "created": "Wed, 3 May 2000 20:00:34 GMT", "version": "v1" } ]

2009-10-31

[ [ "De Andrade", "M. A.", "", "1 and 2" ], [ "Rojas", "M.", "" ], [ "Toppan", "F.", "" ] ]

Higher dimensional Majorana-Weyl spacetimes present space-time dualities which are induced by the Spin(8) triality automorphisms. Different signature versions of theories such as 10-dimensional SYM's, superstrings, five-branes, F-theory, are shown to be interconnected via the S_3 permutation group. Bilinear and trilinear invariants under space-time triality are introduced and their possible relevance in building models possessing a space-versus-time exchange symmetry is discussed. Moreover the Cartan's ``vector/chiral spinor/antichiral spinor" triality of SO(8) and SO(4,4) is analyzed in detail and explicit formulas are produced in a Majorana-Weyl basis. This paper is the extended version of hep-th/9907148.

14.531087

12.591632

16.020765

12.665627

12.819321

12.717762

12.587816

13.082891

13.023331

16.99542

12.90017

13.567591

14.558718

13.855647

13.12606

13.481259

13.648643

13.373095

13.597708

14.692948

13.277708

hep-th/9205069

Senarath P. de Alwis

S.P. de Alwis

Quantization of a Theory of 2d Dilaton Gravity

11 pages, (footnotes and reference added. Typo in equation (27) corrected)

Phys.Lett. B289 (1992) 278-282

10.1016/0370-2693(92)91219-Y

COLO-HEP-280

hep-th

null

We discuss the quantization of the 2d gravity theory of Callan, Giddings, Harvey, and Strominger (CGHS), following the procedure of David, and of Distler and Kawai. We find that the physics depends crucially on whether the number of matter fields is greater than or less than 24. In the latter case the singularity pointed out by several authors is absent but the physical interpretation is unclear. In the former case (the one studied by CGHS) the quantum theory which gives CGHS in the linear dilaton semi-classical limit, is different from that which gives CGHS in the extreme Liouville regime.

[ { "created": "Tue, 19 May 1992 23:00:29 GMT", "version": "v1" }, { "created": "Wed, 20 May 1992 19:55:05 GMT", "version": "v2" } ]

2009-10-22

[ [ "de Alwis", "S. P.", "" ] ]

We discuss the quantization of the 2d gravity theory of Callan, Giddings, Harvey, and Strominger (CGHS), following the procedure of David, and of Distler and Kawai. We find that the physics depends crucially on whether the number of matter fields is greater than or less than 24. In the latter case the singularity pointed out by several authors is absent but the physical interpretation is unclear. In the former case (the one studied by CGHS) the quantum theory which gives CGHS in the linear dilaton semi-classical limit, is different from that which gives CGHS in the extreme Liouville regime.

7.816939

7.934682

8.153607

7.741652

7.164191

7.521511

7.403624

6.873276

7.701466

9.045609

7.708818

7.575386

8.080613

7.709916

7.571402

7.902681

7.696239

7.550051

7.627295

7.72161

7.369936

hep-th/0504085

Matilde Marcolli

Alain Connes (College de France) and Matilde Marcolli (MPIM Bonn)

Quantum fields and motives

29 pages, LaTeX. To appear in Journal of Geometry and Physics

J.Geom.Phys. 56 (2006) 55-85

10.1016/j.geomphys.2005.04.004

null

hep-th math-ph math.MP

null

This is a survey of our results on the relation between perturbative renormalization and motivic Galois theory. The main result is that all quantum field theories share a common universal symmetry realized as a motivic Galois group, whose action is dictated by the divergences and generalizes that of the renormalization group. The existence of such a group was conjectured by P. Cartier based on number theoretic evidence and on the Connes-Kreimer theory of perturbative renormalization. The group provides a universal formula for counterterms and is obtained via a Riemann-Hilbert correspondence classifying equivalence classes of flat equisingular bundles, where the equisingularity condition corresponds to the independence of the counterterms on the mass scale.

[ { "created": "Sat, 9 Apr 2005 20:17:01 GMT", "version": "v1" } ]

2015-06-26

[ [ "Connes", "Alain", "", "College de France" ], [ "Marcolli", "Matilde", "", "MPIM Bonn" ] ]

This is a survey of our results on the relation between perturbative renormalization and motivic Galois theory. The main result is that all quantum field theories share a common universal symmetry realized as a motivic Galois group, whose action is dictated by the divergences and generalizes that of the renormalization group. The existence of such a group was conjectured by P. Cartier based on number theoretic evidence and on the Connes-Kreimer theory of perturbative renormalization. The group provides a universal formula for counterterms and is obtained via a Riemann-Hilbert correspondence classifying equivalence classes of flat equisingular bundles, where the equisingularity condition corresponds to the independence of the counterterms on the mass scale.

7.740938

8.298751

9.581444

8.006772

7.7483

8.719268

8.190396

8.473315

8.159719

9.877348

7.380022

7.554389

7.907706

7.665636

7.602834

7.523995

7.903767

7.684667

7.592408

7.819405

7.454389

hep-th/9305106

null

Oleg A. Soloviev

Some Comments on Lie-Poisson Structure of Conformal Non-Abelian Thirring Models

QMW-93-16, 10 pp

null

10.1142/S0217732394003713

null

hep-th

null

The interconnection between self-duality, conformal invariance and Lie-Poisson structure of the two dimensional non-abelian Thirring model is investigated in the framework of the hamiltonian method.

[ { "created": "Fri, 21 May 1993 14:20:19 GMT", "version": "v1" }, { "created": "Tue, 1 Jun 1993 15:28:27 GMT", "version": "v2" } ]

2009-10-22

[ [ "Soloviev", "Oleg A.", "" ] ]

The interconnection between self-duality, conformal invariance and Lie-Poisson structure of the two dimensional non-abelian Thirring model is investigated in the framework of the hamiltonian method.

8.122587

5.780951

9.447092

7.156694

6.695747

6.717545

6.687108

7.509507

6.713748

9.95187

7.22931

7.35991

8.298827

7.389095

7.392226

7.451387

7.425098

7.540648

7.683385

8.642616

7.036044

hep-th/0702210

Andre Lukas

Lara B. Anderson, Yang-Hui He, Andre Lukas

Heterotic Compactification, An Algorithmic Approach

36 pages, Latex

JHEP 0707:049,2007

10.1088/1126-6708/2007/07/049

null

hep-th

null

We approach string phenomenology from the perspective of computational algebraic geometry, by providing new and efficient techniques for proving stability and calculating particle spectra in heterotic compactifications. This is done in the context of complete intersection Calabi-Yau manifolds in a single projective space where we classify positive monad bundles. Using a combination of analytic methods and computer algebra we prove stability for all such bundles and compute the complete particle spectrum, including gauge singlets. In particular, we find that the number of anti-generations vanishes for all our bundles and that the spectrum is manifestly moduli-dependent.

[ { "created": "Tue, 27 Feb 2007 13:22:20 GMT", "version": "v1" }, { "created": "Wed, 23 May 2007 21:05:29 GMT", "version": "v2" } ]

2009-04-22

[ [ "Anderson", "Lara B.", "" ], [ "He", "Yang-Hui", "" ], [ "Lukas", "Andre", "" ] ]

We approach string phenomenology from the perspective of computational algebraic geometry, by providing new and efficient techniques for proving stability and calculating particle spectra in heterotic compactifications. This is done in the context of complete intersection Calabi-Yau manifolds in a single projective space where we classify positive monad bundles. Using a combination of analytic methods and computer algebra we prove stability for all such bundles and compute the complete particle spectrum, including gauge singlets. In particular, we find that the number of anti-generations vanishes for all our bundles and that the spectrum is manifestly moduli-dependent.

10.605899

9.392391

12.463597

9.144919

9.852481

9.639841

9.105857

9.051406

9.534885

13.468292

8.771822

9.485361

10.316116

9.781021

10.098546

9.774995

9.79936

9.587399

9.924513

10.401432

9.525296

hep-th/0504222

Stephen G. Naculich

Marta Gomez-Reino, Stephen G. Naculich, Howard J. Schnitzer

More Pendants for Polya: Two loops in the SU(2) sector

15 pages

JHEP 0507 (2005) 055

10.1088/1126-6708/2005/07/055

BRX-TH-562, BOW-PH-134

hep-th

null

We extend the methods of Spradlin and Volovich to compute the partition function for a conformally-invariant gauge theory on R x S^3 in which the dilatation operator is represented by a spin-chain Hamiltonian acting on pairs of states, not necessarily nearest neighbors. A specific application of this is the two-loop dilatation operator of the planar SU(2) subsector of the N=4 SU(N) super Yang-Mills theory in the large-N limit. We compute the partition function and Hagedorn temperature for this sector to second order in the gauge coupling. The Hagedorn temperature is to be interpreted as giving the exponentially-rising portion of the density of states of the SU(2) sector, which may be a signal of stringy behavior in the dual theory.

[ { "created": "Wed, 27 Apr 2005 17:20:20 GMT", "version": "v1" } ]

2009-11-11

[ [ "Gomez-Reino", "Marta", "" ], [ "Naculich", "Stephen G.", "" ], [ "Schnitzer", "Howard J.", "" ] ]

We extend the methods of Spradlin and Volovich to compute the partition function for a conformally-invariant gauge theory on R x S^3 in which the dilatation operator is represented by a spin-chain Hamiltonian acting on pairs of states, not necessarily nearest neighbors. A specific application of this is the two-loop dilatation operator of the planar SU(2) subsector of the N=4 SU(N) super Yang-Mills theory in the large-N limit. We compute the partition function and Hagedorn temperature for this sector to second order in the gauge coupling. The Hagedorn temperature is to be interpreted as giving the exponentially-rising portion of the density of states of the SU(2) sector, which may be a signal of stringy behavior in the dual theory.

6.81281

6.581102

8.125381

6.753382

7.114767

6.873442

6.778565

6.70028

6.394522

8.283195

6.691456

6.293899

6.805096

6.59277

6.609259

6.603938

6.577284

6.542198

6.459391

6.699955

6.500896

hep-th/0508176

Yutaka Sakamura

Hiroyuki Abe, Yutaka Sakamura

Dynamical Radion Superfield in Five-dimensional Action

5 pages, talks given by Y.Sakamura at PASCOS'05 (Geongju, Korea, May 30-June 4, 2005) and at SUSY'05 (Durham, U.K., July 18-23, 2005)

null

10.1063/1.2149758

OU-HET 539/2005

hep-th

null

We clarify the radion superfield dependence of 5D N=1 superspace action. The radion is treated as a dynamical field and appears in the action with the correct mode function. Our derivation is systematic and based on the superconformal formulation of 5D supergravity. We can read off the couplings of the dynamical radion superfield to the matter superfields from our result. The correct radion mass can be obtained by calculating the radion potential from our superspace action.

[ { "created": "Wed, 24 Aug 2005 11:54:20 GMT", "version": "v1" } ]

2009-11-11

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

We clarify the radion superfield dependence of 5D N=1 superspace action. The radion is treated as a dynamical field and appears in the action with the correct mode function. Our derivation is systematic and based on the superconformal formulation of 5D supergravity. We can read off the couplings of the dynamical radion superfield to the matter superfields from our result. The correct radion mass can be obtained by calculating the radion potential from our superspace action.

9.196897

7.279731

9.308325

7.389372

8.389501

8.125412

7.862911

7.11287

7.730874

9.346662

7.201897

7.76117

8.99042

7.88312

7.886697

7.721283

7.917037

7.656868

7.929132

8.544893

7.622383

1703.09681

Miguel Zilh\~ao

Maximilian Attems, Jorge Casalderrey-Solana, David Mateos, Daniel Santos-Oliv\'an, Carlos F. Sopuerta, Miquel Triana, Miguel Zilh\~ao

Paths to equilibrium in non-conformal collisions

45 pages, 17 figures. Expanded some sections. Matches published version in JHEP

JHEP 1706 (2017) 154

10.1007/JHEP06(2017)154

ICCUB-17-009

hep-th gr-qc hep-ph nucl-th

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

We extend our previous analysis of holographic heavy ion collisions in non-conformal theories. We provide a detailed description of our numerical code. We study collisions at different energies in gauge theories with different degrees of non-conformality. We compare four relaxation times: the hydrodynamization time (when hydrodynamics becomes applicable), the EoSization time (when the average pressure approaches its equilibrium value), the isotropization time (when the longitudinal and transverse pressures approach each other) and the condensate relaxation time (when the expectation value of a scalar operator approaches its equilibrium value). We find that these processes can occur in several different orderings. In particular, the condensate can remain far from equilibrium even long after the plasma has hydrodynamized and EoSized. We also explore the rapidity distribution of the energy density at hydrodynamization. This is far from boost-invariant and its width decreases as the non-conformality increases. Nevertheless, the velocity field at hydrodynamization is almost exactly boost-invariant regardless of the non-conformality. This result may be used to constrain the initialization of hydrodynamic fields in heavy ion collisions.

[ { "created": "Tue, 28 Mar 2017 17:29:06 GMT", "version": "v1" }, { "created": "Sat, 1 Jul 2017 23:18:56 GMT", "version": "v2" } ]

2017-07-04

[ [ "Attems", "Maximilian", "" ], [ "Casalderrey-Solana", "Jorge", "" ], [ "Mateos", "David", "" ], [ "Santos-Oliván", "Daniel", "" ], [ "Sopuerta", "Carlos F.", "" ], [ "Triana", "Miquel", "" ], [ "Zilhão", "Miguel", "" ] ]

We extend our previous analysis of holographic heavy ion collisions in non-conformal theories. We provide a detailed description of our numerical code. We study collisions at different energies in gauge theories with different degrees of non-conformality. We compare four relaxation times: the hydrodynamization time (when hydrodynamics becomes applicable), the EoSization time (when the average pressure approaches its equilibrium value), the isotropization time (when the longitudinal and transverse pressures approach each other) and the condensate relaxation time (when the expectation value of a scalar operator approaches its equilibrium value). We find that these processes can occur in several different orderings. In particular, the condensate can remain far from equilibrium even long after the plasma has hydrodynamized and EoSized. We also explore the rapidity distribution of the energy density at hydrodynamization. This is far from boost-invariant and its width decreases as the non-conformality increases. Nevertheless, the velocity field at hydrodynamization is almost exactly boost-invariant regardless of the non-conformality. This result may be used to constrain the initialization of hydrodynamic fields in heavy ion collisions.

5.442975

5.846129

5.611833

5.49028

5.650779

5.778697

5.697182

5.695735

5.441834

5.751338

5.290585

5.43972

5.429203

5.299049

5.494619

5.356567

5.50209

5.319693

5.235313

5.425968

5.246912

2006.04886

Juan S. Cruz

Wen-Yuan Ai and Juan S. Cruz and Bjorn Garbrecht and Carlos Tamarit

Gradient effects on false vacuum decay in gauge theory

39 pages, 12 figures, 2 tables

Phys. Rev. D 102, 085001 (2020)

10.1103/PhysRevD.102.085001

TUM-HEP-1265-20, CP3-20-21

hep-th hep-ph

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

We study false vacuum decay for a gauged complex scalar field in a polynomial potential with nearly degenerate minima. Radiative corrections to the profile of the nucleated bubble as well as the full decay rate are computed in the planar thin-wall approximation using the effective action. This allows to account for the inhomogeneity of the bounce background and the radiative corrections in a self-consistent manner. In contrast to scalar or fermion loops, for gauge fields one must deal with a coupled system that mixes the Goldstone boson and the gauge fields, which considerably complicates the numerical calculation of Green's functions. In addition to the renormalization of couplings, we employ a covariant gradient expansion in order to systematically construct the counterterm for the wave-function renormalization. The result for the full decay rate however does not rely on such an expansion and accounts for all gradient corrections at the chosen truncation of the loop expansion. The ensuing gradient effects are shown to be of the same order of magnitude as non-derivative one-loop corrections.

[ { "created": "Mon, 8 Jun 2020 19:13:51 GMT", "version": "v1" }, { "created": "Tue, 6 Oct 2020 09:55:01 GMT", "version": "v2" } ]

2020-10-07

[ [ "Ai", "Wen-Yuan", "" ], [ "Cruz", "Juan S.", "" ], [ "Garbrecht", "Bjorn", "" ], [ "Tamarit", "Carlos", "" ] ]

We study false vacuum decay for a gauged complex scalar field in a polynomial potential with nearly degenerate minima. Radiative corrections to the profile of the nucleated bubble as well as the full decay rate are computed in the planar thin-wall approximation using the effective action. This allows to account for the inhomogeneity of the bounce background and the radiative corrections in a self-consistent manner. In contrast to scalar or fermion loops, for gauge fields one must deal with a coupled system that mixes the Goldstone boson and the gauge fields, which considerably complicates the numerical calculation of Green's functions. In addition to the renormalization of couplings, we employ a covariant gradient expansion in order to systematically construct the counterterm for the wave-function renormalization. The result for the full decay rate however does not rely on such an expansion and accounts for all gradient corrections at the chosen truncation of the loop expansion. The ensuing gradient effects are shown to be of the same order of magnitude as non-derivative one-loop corrections.

7.862205

8.86785

8.762457

8.176048

8.619709

8.946837

8.382681

8.46838

8.317111

9.091893

7.988696

8.081895

8.145355

8.040454

8.070518

8.193069

8.143198

8.000509

7.906843

8.037405

7.737476

2008.03089

Johanna Knapp

David Erkinger, Johanna Knapp

Sphere partition function of Calabi-Yau GLSMs

55 pages; v2: extended discussion in Section 3.3, further corrections and clarifications, references added

null

UWThPh2020-20

hep-th math.AG

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

The sphere partition function of Calabi-Yau gauged linear sigma models (GLSMs) has been shown to compute the exact Kaehler potential of the Kaehler moduli space of a Calabi-Yau. We propose a universal expression for the sphere partition function evaluated in hybrid phases of Calabi-Yau GLSMs that are fibrations of Landau-Ginzburg orbifolds over some base manifold. Special cases include Calabi-Yau complete intersections in toric ambient spaces and Landau-Ginzburg orbifolds. The key ingredients that enter the expression are Givental's I/J-functions, the Gamma class and further data associated to the hybrid model. We test the proposal for one- and two-parameter abelian GLSMs, making connections, where possible, to known results from mirror symmetry and FJRW theory.

[ { "created": "Fri, 7 Aug 2020 11:06:45 GMT", "version": "v1" }, { "created": "Tue, 12 Apr 2022 22:51:52 GMT", "version": "v2" } ]

2022-04-14

[ [ "Erkinger", "David", "" ], [ "Knapp", "Johanna", "" ] ]

The sphere partition function of Calabi-Yau gauged linear sigma models (GLSMs) has been shown to compute the exact Kaehler potential of the Kaehler moduli space of a Calabi-Yau. We propose a universal expression for the sphere partition function evaluated in hybrid phases of Calabi-Yau GLSMs that are fibrations of Landau-Ginzburg orbifolds over some base manifold. Special cases include Calabi-Yau complete intersections in toric ambient spaces and Landau-Ginzburg orbifolds. The key ingredients that enter the expression are Givental's I/J-functions, the Gamma class and further data associated to the hybrid model. We test the proposal for one- and two-parameter abelian GLSMs, making connections, where possible, to known results from mirror symmetry and FJRW theory.

7.521785

6.695963

9.671836

7.055851

7.397045

6.697482

7.737521

6.671328

7.305557

9.76401

7.118333

7.0308

7.667449

6.690232

6.707067

6.620438

6.793694

6.898102

6.896669

7.683445

6.753223

hep-th/0108144

Atsushi Higuchi

Atsushi Higuchi (Univ. of York)

Low-frequency scalar absorption cross sections for stationary black holes

8 pages, no figures, an addendum included

Class.Quant.Grav.18:L139,2001; Addendum-ibid.19:599,2002

10.1088/0264-9381/18/20/102

null

hep-th gr-qc

null

We discuss the absorption cross section for the minimally-coupled massless scalar field into a stationary and circularly symmetric black hole with nonzero angular velocity in four or higher dimensions. In particular, we show that it equals the horizon area in the zero-frequency limit provided that the solution of the scalar field equation with an incident monochromatic plane wave converges pointwise to a smooth time-independent solution outside the black hole and on the future horizon, with the error term being at most linear in the frequency. We also show that this equality holds for static black holes which are not necessarily spherically symmetric. The zero-frequency scattering cross section is found to vanish in both cases. It is shown in an Addendum that the equality holds for any stationary black hole with vanishing expansion if the limit solution is known to be a constant.

[ { "created": "Tue, 21 Aug 2001 02:04:53 GMT", "version": "v1" }, { "created": "Thu, 1 Nov 2001 15:05:51 GMT", "version": "v2" } ]

2014-11-18

[ [ "Higuchi", "Atsushi", "", "Univ. of York" ] ]

We discuss the absorption cross section for the minimally-coupled massless scalar field into a stationary and circularly symmetric black hole with nonzero angular velocity in four or higher dimensions. In particular, we show that it equals the horizon area in the zero-frequency limit provided that the solution of the scalar field equation with an incident monochromatic plane wave converges pointwise to a smooth time-independent solution outside the black hole and on the future horizon, with the error term being at most linear in the frequency. We also show that this equality holds for static black holes which are not necessarily spherically symmetric. The zero-frequency scattering cross section is found to vanish in both cases. It is shown in an Addendum that the equality holds for any stationary black hole with vanishing expansion if the limit solution is known to be a constant.

10.091201

9.225976

9.972099

8.530178

10.183137

9.553426

9.892995

8.377442

9.016809

10.735676

8.995506

9.222994

9.488682

8.862015

9.164321

9.345505

9.268317

9.068065

9.118755

9.572849

9.348032

hep-th/9707064

Maxim Zabzin

Maxim Zabzine (Stockholm University)

Zamolodchikov's C-theorem and phase transitions

12 pages, LaTeX, Poster at Summer School ``Confinment, Duality and Non-perturbative aspects of QCD'' June 24 - July 4, 1997, Cambridge, UK

null

USITP-97-11

hep-th

null

We discuss the possibility of generalizing some aspects of the C-theorem within two different approaches, the conventional RG and the Wilson RG flows. We show that the original Zamolodchikov's theorem is related to the existence of the phase transitions in finite temperature QFT. We present some arguments related to the holomorphic property of the low energy Wilson effective action.

[ { "created": "Mon, 7 Jul 1997 07:54:59 GMT", "version": "v1" } ]

2007-05-23

[ [ "Zabzine", "Maxim", "", "Stockholm University" ] ]

We discuss the possibility of generalizing some aspects of the C-theorem within two different approaches, the conventional RG and the Wilson RG flows. We show that the original Zamolodchikov's theorem is related to the existence of the phase transitions in finite temperature QFT. We present some arguments related to the holomorphic property of the low energy Wilson effective action.

15.725278

14.175924

14.457459

13.683366

13.596848

16.414089

13.239559

11.909142

14.059099

13.434384

13.143007

13.68576

14.642752

13.942532

14.189636

13.476535

13.81519

13.467098

14.478488

14.300313

13.322399

hep-th/0012180

Per Berglund

P. Berglund, T. Hubsch, D. Minic

On Relativistic Brane Probes in Singular Spacetimes

9 pages, 1 figure, typos corrected and references added

JHEP 0101:041,2001

10.1088/1126-6708/2001/01/041

CITUSC/00-065

hep-th

null

We study the relativistic dynamics of brane probes in singular warped spacetimes and establish limits for such analysis. The behavior of the semiclassical brane probe wave functions implies that unitarity boundary conditions can be imposed at the singularity.

[ { "created": "Wed, 20 Dec 2000 01:33:44 GMT", "version": "v1" }, { "created": "Wed, 10 Jan 2001 01:38:48 GMT", "version": "v2" } ]

2010-02-03

[ [ "Berglund", "P.", "" ], [ "Hubsch", "T.", "" ], [ "Minic", "D.", "" ] ]

We study the relativistic dynamics of brane probes in singular warped spacetimes and establish limits for such analysis. The behavior of the semiclassical brane probe wave functions implies that unitarity boundary conditions can be imposed at the singularity.

26.521835

24.477262

28.123234

21.927277

19.543447

22.758348

23.407955

21.848347

20.838352

30.511

21.574083

22.022116

26.203363

21.745125

21.664995

20.941923

21.331253

20.713099

21.879755

26.153025

20.86565

1811.02875

Pietro Longhi

Sibasish Banerjee, Pietro Longhi and Mauricio Romo

Exploring 5d BPS Spectra with Exponential Networks

A summary for mathematicians is included; v2: updated references

null

10.1007/s00023-019-00851-x

null

hep-th math.AG

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

We develop geometric techniques for counting BPS states in five-dimensional gauge theories engineered by M theory on a toric Calabi-Yau threefold. The problem is approached by studying framed 3d-5d wall-crossing in presence of a single M5 brane wrapping a special Lagrangian submanifold $L$. The spectrum of 3d-5d BPS states is encoded by the geometry of the manifold of vacua of the 3d-5d system, which further coincides with the mirror curve describing moduli of the Lagrangian brane. Information about the BPS spectrum is extracted from the geometry of the mirror curve by construction of a nonabelianization map for exponential networks. For the simplest Calabi-Yau, $\mathbb{C}^3$ we reproduce the count of 5d BPS states encoded by the Mac Mahon function in the context of topological strings, and match predictions of 3d $tt^*$ geometry for the count of 3d-5d BPS states. We comment on applications of our construction to the study of enumerative invariants of toric Calabi-Yau threefolds.

[ { "created": "Wed, 7 Nov 2018 13:36:23 GMT", "version": "v1" }, { "created": "Sat, 17 Nov 2018 17:41:26 GMT", "version": "v2" } ]

2020-01-08

[ [ "Banerjee", "Sibasish", "" ], [ "Longhi", "Pietro", "" ], [ "Romo", "Mauricio", "" ] ]

We develop geometric techniques for counting BPS states in five-dimensional gauge theories engineered by M theory on a toric Calabi-Yau threefold. The problem is approached by studying framed 3d-5d wall-crossing in presence of a single M5 brane wrapping a special Lagrangian submanifold $L$. The spectrum of 3d-5d BPS states is encoded by the geometry of the manifold of vacua of the 3d-5d system, which further coincides with the mirror curve describing moduli of the Lagrangian brane. Information about the BPS spectrum is extracted from the geometry of the mirror curve by construction of a nonabelianization map for exponential networks. For the simplest Calabi-Yau, $\mathbb{C}^3$ we reproduce the count of 5d BPS states encoded by the Mac Mahon function in the context of topological strings, and match predictions of 3d $tt^*$ geometry for the count of 3d-5d BPS states. We comment on applications of our construction to the study of enumerative invariants of toric Calabi-Yau threefolds.

6.129959

6.044925

7.668916

6.23069

6.2093

5.887125

6.321948

6.239163

6.013378

7.750726

6.174378

5.929826

6.679014

6.101991

5.958815

5.996024

5.889808

5.959844

6.180387

6.493931

6.043839

hep-th/9603196

Qw

J.E.Paschalis and P.I.Porfyriadis

BFV analysis of the $U_{EM}(1)$ gauged SU(3) WZW model and the Faddeev-Jackiw approach

10 pages, LaTex, no figures

null

THES-TP 96/05

hep-th

null

The four dimensional SU(3) WZW model coupled to electromagnetism is treated as a constrained system in the context of Batalin-Fradkin- Vilkovisky formalism. It is shown that this treatment is equivalent to the Faddeev-Jackiw (FJ) approach. It is also shown that the field redefinitions that transform the fields of the model into BRST and $\sigma$ closed are actually the Darboux's transformations used in the FJ formalism.

[ { "created": "Sat, 30 Mar 1996 13:16:23 GMT", "version": "v1" } ]

2007-05-23

[ [ "Paschalis", "J. E.", "" ], [ "Porfyriadis", "P. I.", "" ] ]

The four dimensional SU(3) WZW model coupled to electromagnetism is treated as a constrained system in the context of Batalin-Fradkin- Vilkovisky formalism. It is shown that this treatment is equivalent to the Faddeev-Jackiw (FJ) approach. It is also shown that the field redefinitions that transform the fields of the model into BRST and $\sigma$ closed are actually the Darboux's transformations used in the FJ formalism.

8.380005

6.747398

7.611574

6.81327

6.864291

6.925142

6.800111

6.6988

6.622585

7.897985

6.560575

7.01068

7.1072

6.904838

6.903791

6.985425

6.684987

7.032343

6.95887

7.336021

6.78674

2005.10837

Timo Weigand

Seung-Joo Lee, Wolfgang Lerche, Guglielmo Lockhart, Timo Weigand

Quasi-Jacobi Forms, Elliptic Genera and Strings in Four Dimensions

90 pages, 4 figures; v2: minor comments added to match published version

null

10.1007/JHEP01(2021)162

null

hep-th

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

We investigate the interplay between the enumerative geometry of Calabi-Yau fourfolds with fluxes and the modularity of elliptic genera in four-dimensional string theories. We argue that certain contributions to the elliptic genus are given by derivatives of modular or quasi-modular forms, which encode BPS invariants of Calabi-Yau or non-Calabi-Yau threefolds that are embedded in the given fourfold. As a result, the elliptic genus is only a quasi-Jacobi form, rather than a modular or quasi-modular one in the usual sense. This manifests itself as a holomorphic anomaly of the spectral flow symmetry, and in an elliptic holomorphic anomaly equation that maps between different flux sectors. We support our general considerations by a detailed study of examples, including non-critical strings in four dimensions. For the critical heterotic string, we explain how anomaly cancellation is restored due to the properties of the derivative sector. Essentially, while the modular sector of the elliptic genus takes care of anomaly cancellation involving the universal B-field, the quasi-Jacobi one accounts for additional B-fields that can be present. Thus once again, diverse mathematical ingredients, namely here the algebraic geometry of fourfolds, relative Gromow-Witten theory pertaining to flux backgrounds, and the modular properties of (quasi-)Jacobi forms, conspire in an intriguing manner precisely as required by stringy consistency.

[ { "created": "Thu, 21 May 2020 18:00:02 GMT", "version": "v1" }, { "created": "Thu, 10 Feb 2022 15:34:14 GMT", "version": "v2" } ]

2022-02-11

[ [ "Lee", "Seung-Joo", "" ], [ "Lerche", "Wolfgang", "" ], [ "Lockhart", "Guglielmo", "" ], [ "Weigand", "Timo", "" ] ]

We investigate the interplay between the enumerative geometry of Calabi-Yau fourfolds with fluxes and the modularity of elliptic genera in four-dimensional string theories. We argue that certain contributions to the elliptic genus are given by derivatives of modular or quasi-modular forms, which encode BPS invariants of Calabi-Yau or non-Calabi-Yau threefolds that are embedded in the given fourfold. As a result, the elliptic genus is only a quasi-Jacobi form, rather than a modular or quasi-modular one in the usual sense. This manifests itself as a holomorphic anomaly of the spectral flow symmetry, and in an elliptic holomorphic anomaly equation that maps between different flux sectors. We support our general considerations by a detailed study of examples, including non-critical strings in four dimensions. For the critical heterotic string, we explain how anomaly cancellation is restored due to the properties of the derivative sector. Essentially, while the modular sector of the elliptic genus takes care of anomaly cancellation involving the universal B-field, the quasi-Jacobi one accounts for additional B-fields that can be present. Thus once again, diverse mathematical ingredients, namely here the algebraic geometry of fourfolds, relative Gromow-Witten theory pertaining to flux backgrounds, and the modular properties of (quasi-)Jacobi forms, conspire in an intriguing manner precisely as required by stringy consistency.

9.459071

11.046369

11.868476

10.361679

12.115324

9.861653

11.075644

10.838292

10.082132

13.793576

10.145487

10.079443

10.444985

10.114855

9.88385

9.78101

10.082971

9.756097

9.953761

10.396798

9.642234

hep-th/0703108

Sergey A. Cherkis

A Journey Between Two Curves

This is a contribution to the Proc. of workshop on Geometric Aspects of Integrable Systems (July 17-19, 2006; Coimbra, Portugal), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

SIGMA 3:043,2007

10.3842/SIGMA.2007.043

null

hep-th math.AG math.DG

null

A typical solution of an integrable system is described in terms of a holomorphic curve and a line bundle over it. The curve provides the action variables while the time evolution is a linear flow on the curve's Jacobian. Even though the system of Nahm equations is closely related to the Hitchin system, the curves appearing in these two cases have very different nature. The former can be described in terms of some classical scattering problem while the latter provides a solution to some Seiberg-Witten gauge theory. This note identifies the setup in which one can formulate the question of relating the two curves.

[ { "created": "Sun, 11 Mar 2007 17:48:10 GMT", "version": "v1" } ]

2008-12-19

[ [ "Cherkis", "Sergey A.", "" ] ]

A typical solution of an integrable system is described in terms of a holomorphic curve and a line bundle over it. The curve provides the action variables while the time evolution is a linear flow on the curve's Jacobian. Even though the system of Nahm equations is closely related to the Hitchin system, the curves appearing in these two cases have very different nature. The former can be described in terms of some classical scattering problem while the latter provides a solution to some Seiberg-Witten gauge theory. This note identifies the setup in which one can formulate the question of relating the two curves.

10.196866

11.539845

11.17776

10.066155

10.652703

11.163501

10.660395

9.993194

10.664721

11.289141

10.611932

9.414685

11.274118

10.203749

10.12912

9.892412

10.326339

9.704058

10.237391

10.847871

9.749401

1607.00795

Domenico Orlando

Domenico Orlando, Susanne Reffert, Jun-ichi Sakamoto, Kentaroh Yoshida

Generalized type IIB supergravity equations and non-Abelian classical r-matrices

typos corrected

null

10.1088/1751-8113/49/44/445403

null

hep-th

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

We study Yang-Baxter deformations of the $AdS_5 \times S^5$ superstring with non-Abelian classical $r$-matrices which satisfy the homogeneous classical Yang-Baxter equation (CYBE). By performing a supercoset construction, we can get deformed $AdS_5 \times S^5$ backgrounds. While this is a new area of research, the current understanding is that Abelian classical $r$-matrices give rise to solutions of type IIB supergravity, while non-Abelian classical $r$-matrices lead to solutions of the generalized supergravity equations. We examine here some examples of non-Abelian classical r-matrices and derive the associated backgrounds explicitly. All of the resulting backgrounds satisfy the generalized equations. For some of them, we derive "T-dualized" backgrounds by adding a linear coordinate dependence to the dilaton and show that these satisfy the usual type IIB supergravity equations. Remarkably, some of the "T-dualized" backgrounds are locally identical to undeformed $AdS_5 \times S^5$ after an appropriate coordinate transformation, but this seems not to be generally the case.

[ { "created": "Mon, 4 Jul 2016 09:32:01 GMT", "version": "v1" }, { "created": "Sat, 23 Jul 2016 18:36:01 GMT", "version": "v2" } ]

2016-11-23

[ [ "Orlando", "Domenico", "" ], [ "Reffert", "Susanne", "" ], [ "Sakamoto", "Jun-ichi", "" ], [ "Yoshida", "Kentaroh", "" ] ]

We study Yang-Baxter deformations of the $AdS_5 \times S^5$ superstring with non-Abelian classical $r$-matrices which satisfy the homogeneous classical Yang-Baxter equation (CYBE). By performing a supercoset construction, we can get deformed $AdS_5 \times S^5$ backgrounds. While this is a new area of research, the current understanding is that Abelian classical $r$-matrices give rise to solutions of type IIB supergravity, while non-Abelian classical $r$-matrices lead to solutions of the generalized supergravity equations. We examine here some examples of non-Abelian classical r-matrices and derive the associated backgrounds explicitly. All of the resulting backgrounds satisfy the generalized equations. For some of them, we derive "T-dualized" backgrounds by adding a linear coordinate dependence to the dilaton and show that these satisfy the usual type IIB supergravity equations. Remarkably, some of the "T-dualized" backgrounds are locally identical to undeformed $AdS_5 \times S^5$ after an appropriate coordinate transformation, but this seems not to be generally the case.

4.857039

4.344836

5.393634

4.542735

4.622829

4.709731

4.772238

4.491152

4.567213

5.785481

4.66611

4.657791

4.883472

4.692037

4.758449

4.603658

4.676542

4.752755

4.615883

5.008829

4.608951

1512.03379

Hiroaki Matsunaga

Keiyu Goto, Hiroaki Matsunaga

$A_\infty / L_\infty$ structure and alternative action for WZW-like superstring field theory

23+21 pages; Published ver

JHEP 1701 (2017) 022

10.1007/JHEP01(2017)022

YITP/15-108, UT-Komaba/15-9

hep-th

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

We propose new gauge invariant actions for open NS, heterotic NS, and closed NS-NS superstring field theories. They are based on the large Hilbert space, and have Wess-Zumino-Witten-like expressions which are the $\mathbb{Z}_{2}$-reversed versions of the conventional WZW-like actions. On the basis of the procedure proposed in arXiv:1505.01659, we show that our new WZW-like actions are completely equivalent to $A_{\infty }/L_{\infty }$ actions proposed in arXiv:1403.0940 respectively.

[ { "created": "Thu, 10 Dec 2015 19:45:55 GMT", "version": "v1" }, { "created": "Sun, 15 Jul 2018 07:41:05 GMT", "version": "v2" } ]

2018-07-17

[ [ "Goto", "Keiyu", "" ], [ "Matsunaga", "Hiroaki", "" ] ]

We propose new gauge invariant actions for open NS, heterotic NS, and closed NS-NS superstring field theories. They are based on the large Hilbert space, and have Wess-Zumino-Witten-like expressions which are the $\mathbb{Z}_{2}$-reversed versions of the conventional WZW-like actions. On the basis of the procedure proposed in arXiv:1505.01659, we show that our new WZW-like actions are completely equivalent to $A_{\infty }/L_{\infty }$ actions proposed in arXiv:1403.0940 respectively.

6.798214

7.097311

9.370091

7.538695

8.737608

7.665093

8.059635

7.680445

7.386992

11.433558

6.987231

7.795643

8.007528

7.452849

7.225536

7.620453

7.230939

7.091739

6.930014

8.12117

6.835583

hep-th/9401035

null

A. Khvedelidze, V. Pervushin

Zero Modes of First Class Secondary Constraints in Gauge Theories

LATEX

null

JINR Preprint E2-93-439

hep-th

null

Zero modes of first class secondary constraints in the two-dimensional electrodynamics and the four-dimensional SU(2) Yang-Mills theory are considered by the method of reduced phase space quantization in the context of the problem of a stable vacuum. We compare the description of these modes in the Dirac extended method and reveal their connection with the topological structure of the gauge symmetry group. Within the framework of the "reduced" quantization we construct a new global realization of the homotopy group representation in the Yang-Mills theory, where the role of the stable vacuum with a finite action plays the Prasad-Sommerfield solution.

[ { "created": "Mon, 10 Jan 1994 15:26:10 GMT", "version": "v1" } ]

2007-05-23

[ [ "Khvedelidze", "A.", "" ], [ "Pervushin", "V.", "" ] ]

Zero modes of first class secondary constraints in the two-dimensional electrodynamics and the four-dimensional SU(2) Yang-Mills theory are considered by the method of reduced phase space quantization in the context of the problem of a stable vacuum. We compare the description of these modes in the Dirac extended method and reveal their connection with the topological structure of the gauge symmetry group. Within the framework of the "reduced" quantization we construct a new global realization of the homotopy group representation in the Yang-Mills theory, where the role of the stable vacuum with a finite action plays the Prasad-Sommerfield solution.

13.309399

12.391558

13.51436

12.306007

13.099726

11.727055

12.744894

12.268854

12.545329

13.015646

11.929399

12.000218

12.219172

11.792303

11.984932

11.526729

12.175615

11.840839

11.823526

12.122328

12.492713

hep-th/9705164

Chih-Lung Chou

Deformations of the SUSY SU(5) Theory with an Antisymmetric Tensor

13 pages, Latex

null

SLAC-PUB-7504

hep-th

null

The N=1 supersymmetric gauge SU(5) theory with one antisymmetric tensor, n+3 fundamentals and n+4 antifundamentals has dual magnetic descriptions in the infrared. By introducing extra singlet fields and tree level superpotential terms to the electric SU(5) theories, we are able to make the dual theories flow to the known SU(n)xSU(2) gauge theories which break supersymmetry dynamically. In the n=2 case, the lifting of the pseudo-flat direction is estimated by using dual operator mappings.

[ { "created": "Wed, 21 May 1997 23:40:23 GMT", "version": "v1" }, { "created": "Thu, 22 May 1997 00:26:14 GMT", "version": "v2" } ]

2008-02-03

[ [ "Chou", "Chih-Lung", "" ] ]

The N=1 supersymmetric gauge SU(5) theory with one antisymmetric tensor, n+3 fundamentals and n+4 antifundamentals has dual magnetic descriptions in the infrared. By introducing extra singlet fields and tree level superpotential terms to the electric SU(5) theories, we are able to make the dual theories flow to the known SU(n)xSU(2) gauge theories which break supersymmetry dynamically. In the n=2 case, the lifting of the pseudo-flat direction is estimated by using dual operator mappings.

12.504928

9.895949

14.66465

10.757696

10.910074

9.291748

10.457943

10.602279

9.66699

17.188526

10.287872

10.832186

12.466521

11.362006

11.263823

10.581728

11.392057

11.114916

10.953846

12.914212

11.004995

1209.5157

Grigorii Pivovarov

The inaction approach to gauge theories

Write-up of presentations at Quarks-2012, HSQCD-2012, and CALC-2012

null

10.1134/S106377961303012X

null

hep-th

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

The inaction approach introduced previously for phi^4 is generalized to gauge theories. It combines the advantages of the effective field theory and causal approaches to quantum fields. Also, it suggests ways to generalizing gauge theories.

[ { "created": "Mon, 24 Sep 2012 06:26:25 GMT", "version": "v1" } ]

2015-06-11

[ [ "Pivovarov", "Grigorii", "" ] ]

The inaction approach introduced previously for phi^4 is generalized to gauge theories. It combines the advantages of the effective field theory and causal approaches to quantum fields. Also, it suggests ways to generalizing gauge theories.

42.151531

28.840233

29.597681

25.194246

24.417303

27.992287

28.401426

26.505989

25.919704

29.823645

30.341007

26.111282

27.338356

27.064575

25.435909

24.686438

25.11204

25.378569

27.597881

28.068939

26.626339

hep-th/9803115

Dominic James Lee

D.J.Lee

Effect of retardation on dynamical mass generation in two-dimensional QED at finite temperature

26 pages 8 figures

Phys.Rev. D58 (1998) 105012

10.1103/PhysRevD.58.105012

OUTP-97-56-P

hep-th

null

The effect of retardation on dynamical mass generation in is studied, in the imaginary time formalism. The photon porarization tensor is evaluated to leading order in 1/N (N is the number of flavours), and simple closed form expressions are found for the fully retarded longitudinal and transverse propagators, which have the correct limit when T goes to zero. The resulting S-D equation for the fermion mass (at order 1/N) has an infrared divergence associated with the contribution of the transverse photon propagator; only the longitudinal contribution is retained, as in earlier treatments. For solutions of constant mass, it is found that the retardation reduces the value of the parameter r (the ratio of twice the mass to the critical temperature) from about 10 to about 6. The gap equation is then solved allowing for the mass to depend on frequency. It was found that the r value remained close to 6. Possibilities for including the transverse propagator are discussed.

[ { "created": "Fri, 13 Mar 1998 14:56:51 GMT", "version": "v1" }, { "created": "Wed, 3 Jun 1998 18:54:05 GMT", "version": "v2" } ]

2009-10-31

[ [ "Lee", "D. J.", "" ] ]

The effect of retardation on dynamical mass generation in is studied, in the imaginary time formalism. The photon porarization tensor is evaluated to leading order in 1/N (N is the number of flavours), and simple closed form expressions are found for the fully retarded longitudinal and transverse propagators, which have the correct limit when T goes to zero. The resulting S-D equation for the fermion mass (at order 1/N) has an infrared divergence associated with the contribution of the transverse photon propagator; only the longitudinal contribution is retained, as in earlier treatments. For solutions of constant mass, it is found that the retardation reduces the value of the parameter r (the ratio of twice the mass to the critical temperature) from about 10 to about 6. The gap equation is then solved allowing for the mass to depend on frequency. It was found that the r value remained close to 6. Possibilities for including the transverse propagator are discussed.

11.336758

11.764874

10.787157

10.941599

10.483679

11.765782

11.188495

11.123131

11.255624

11.937453

10.664312

10.379983

10.808061

10.429105

10.266188

10.441895

10.772967

10.564748

10.398415

11.242292

10.621893

0711.4678

Cristina Zambon

Defects in affine Toda field theories

Contribution to the proceedings of the International Workshop RAQIS'07, Recent Advances in Quantum Integrable Systems, 11-14 Semptember 2007

null

hep-th

null

In this talk some classical and quantum aspects concerning a special kind of integrable defect - called a jump-defect - will be reviewed. In particular, recent results obtained in an attempt to incorporate this defect in the affine Toda field theories, in addition to the sine-Gordon model, will be presented.

[ { "created": "Thu, 29 Nov 2007 09:56:00 GMT", "version": "v1" } ]

2007-11-30

[ [ "Zambon", "Cristina", "" ] ]

In this talk some classical and quantum aspects concerning a special kind of integrable defect - called a jump-defect - will be reviewed. In particular, recent results obtained in an attempt to incorporate this defect in the affine Toda field theories, in addition to the sine-Gordon model, will be presented.

12.202316

9.616782

12.592301

9.710487

9.977395

8.960238

9.673801

9.433307

9.775929

12.543677

9.978428

10.05266

11.482335

10.471006

10.299786

10.135478

10.395457

10.309141

10.203341

10.972207

10.650944

hep-th/9611166

Ying Shuqian

S. Ying

A path integration approach to relativistic finite density problems and its particle content

7 pages, RevTex, 1 figure

null

hep-th hep-ph nucl-th

null

A path integration formulation for the finite density and temperature problems is shown to be consistent with the thermodynamics using an 8 component ``real'' representation for the fermion fields by applying it to a free fermion system. A relativistic quantum field theory is shown to be smoothly approached at zero temperature by a real-time thermal field theory so derived even at a finite density. The analysis leads to a new representation for the fermion fields which is shown to be inequivalent to the conventional 4 component theory at the quantum level by having a mirror universe with observable effects and to be better behaved at short distances.

[ { "created": "Thu, 21 Nov 1996 07:57:41 GMT", "version": "v1" } ]

2007-05-23

[ [ "Ying", "S.", "" ] ]

A path integration formulation for the finite density and temperature problems is shown to be consistent with the thermodynamics using an 8 component ``real'' representation for the fermion fields by applying it to a free fermion system. A relativistic quantum field theory is shown to be smoothly approached at zero temperature by a real-time thermal field theory so derived even at a finite density. The analysis leads to a new representation for the fermion fields which is shown to be inequivalent to the conventional 4 component theory at the quantum level by having a mirror universe with observable effects and to be better behaved at short distances.

21.434162

19.740797

19.10877

17.753567

19.530182

18.614805

17.906538

18.500633

18.654264

19.980989

18.132528

18.013786

17.501307

18.083406

17.921112

18.007063

17.848047

18.246668

18.640673

19.17811

18.385187

hep-th/9905143

Matteo Bertolini

M. Bertolini, P. Fre`, M. Trigiante

The generating solution of regular N=8 BPS black holes

20+1 pages, 2 .eps figures, LaTex; one more reference added. Final version to appear on Class. Quant. Grav

Class.Quant.Grav.16:2987-3004,1999

10.1088/0264-9381/16/9/315

SISSA REF 55/99/EP, SWAT/227

hep-th

null

In this paper we construct the 5 parameter generating solution of N=8 BPS regular supergravity black holes as a five parameter solution of the N=2 STU model. Our solution has a simpler form with respect to previous constructions already appeared in the literature and moreover, through the embedding [SL(2)]^3\subset SU(3,3)\subset E_{(7)7} discussed in previous papers, the action of the U-duality group is well defined. This allows to reproduce via U-duality rotations any other solution, like those corresponding to R-R black holes whose microscopic description is given by intersecting D-branes.

[ { "created": "Wed, 19 May 1999 15:35:19 GMT", "version": "v1" }, { "created": "Mon, 24 May 1999 12:21:45 GMT", "version": "v2" }, { "created": "Mon, 28 Jun 1999 12:53:04 GMT", "version": "v3" }, { "created": "Mon, 5 Jul 1999 14:33:52 GMT", "version": "v4" } ]

2014-11-18

[ [ "Bertolini", "M.", "" ], [ "Fre`", "P.", "" ], [ "Trigiante", "M.", "" ] ]

In this paper we construct the 5 parameter generating solution of N=8 BPS regular supergravity black holes as a five parameter solution of the N=2 STU model. Our solution has a simpler form with respect to previous constructions already appeared in the literature and moreover, through the embedding [SL(2)]^3\subset SU(3,3)\subset E_{(7)7} discussed in previous papers, the action of the U-duality group is well defined. This allows to reproduce via U-duality rotations any other solution, like those corresponding to R-R black holes whose microscopic description is given by intersecting D-branes.

13.962561

12.500022

14.43446

11.449665

12.914748

12.942724

12.351853

13.257192

11.584908

15.082539

12.11587

12.792797

12.615732

12.055584

11.944104

12.019494

12.578379

12.245257

12.369308

13.46704

12.102

2201.12747

Fuzhong Yang

Yuan-Chun Jing, Xuan Li, Fu-Zhong Yang

The Number of Rational Points of Two Parameter Calabi-Yau manifolds as Toric Hypersurfaces

18 pages

null

10.1016/j.geomphys.2023.104780

null

hep-th

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

The number of rational points in toric data are given for two-parameter Calabi-Yau $n$-folds as toric hypersurfaces over finite fields $\mathbb F_p$ . We find that the fundamental period is equal to the number of rational points of the Calabi-Yau $n$-folds in zeroth order $p$-adic expansion. By analyzing the solution set of the GKZ-system given by the enhanced polyhedron, we deduce that under type II/F-theory duality the 3D and 4D Calabi-Yau manifolds have the same number of rational points in zeroth order. Taking the quintic and its duality as an example, the number of rational points in some specific complex moduli are given by numerical calculation to support our results.

[ { "created": "Sun, 30 Jan 2022 08:00:47 GMT", "version": "v1" }, { "created": "Thu, 5 May 2022 11:14:46 GMT", "version": "v2" } ]

2023-03-22

[ [ "Jing", "Yuan-Chun", "" ], [ "Li", "Xuan", "" ], [ "Yang", "Fu-Zhong", "" ] ]

The number of rational points in toric data are given for two-parameter Calabi-Yau $n$-folds as toric hypersurfaces over finite fields $\mathbb F_p$ . We find that the fundamental period is equal to the number of rational points of the Calabi-Yau $n$-folds in zeroth order $p$-adic expansion. By analyzing the solution set of the GKZ-system given by the enhanced polyhedron, we deduce that under type II/F-theory duality the 3D and 4D Calabi-Yau manifolds have the same number of rational points in zeroth order. Taking the quintic and its duality as an example, the number of rational points in some specific complex moduli are given by numerical calculation to support our results.

10.183724

10.027848

10.058452

8.842208

10.307617

9.533374

9.961313

9.11866

8.987416

11.346847

9.671257

9.494921

9.802937

9.183696

9.406682

9.584492

9.344398

8.966173

9.163335

9.376527

9.362164

0907.3634

Giampiero Esposito Dr.

Giampiero Esposito, Raju Roychowdhury

On the complete analytic structure of the massive gravitino propagator in four-dimensional de Sitter space

21 pages, 9 figures. The presentation has been further improved

null

10.1007/s10714-009-0904-9

DSF 2009/10

hep-th

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

With the help of the general theory of the Heun equation, this paper completes previous work by the authors and other groups on the explicit representation of the massive gravitino propagator in four-dimensional de Sitter space. As a result of our original contribution, all weight functions which multiply the geometric invariants in the gravitino propagator are expressed through Heun functions, and the resulting plots are displayed and discussed after resorting to a suitable truncation in the series expansion of the Heun function. It turns out that there exist two ranges of values of the independent variable in which the weight functions can be divided into dominating and sub-dominating family.

[ { "created": "Tue, 21 Jul 2009 12:23:15 GMT", "version": "v1" }, { "created": "Tue, 15 Sep 2009 13:26:48 GMT", "version": "v2" }, { "created": "Tue, 6 Oct 2009 10:22:29 GMT", "version": "v3" } ]

2015-05-13

[ [ "Esposito", "Giampiero", "" ], [ "Roychowdhury", "Raju", "" ] ]

With the help of the general theory of the Heun equation, this paper completes previous work by the authors and other groups on the explicit representation of the massive gravitino propagator in four-dimensional de Sitter space. As a result of our original contribution, all weight functions which multiply the geometric invariants in the gravitino propagator are expressed through Heun functions, and the resulting plots are displayed and discussed after resorting to a suitable truncation in the series expansion of the Heun function. It turns out that there exist two ranges of values of the independent variable in which the weight functions can be divided into dominating and sub-dominating family.

13.732074

12.48232

12.868818

13.280171

15.118472

13.904814

14.610543

13.529629

13.327206

15.88935

13.816939

13.024762

12.716542

12.629725

13.775828

12.88595

13.232825

12.549137

12.844082

13.078633

12.940219

hep-th/9703193

Yoonbai Kim

Yoonbai Kim, Phillial Oh and Chaiho Rim

Self-dual Chern-Simons Solitons in the Planar Ferromagnet

11 pages of LaTeX, Three figures of pslatex files are included

Mod.Phys.Lett.A12:3169-3176,1997

10.1142/S0217732397003290

SNUTP-97-020

hep-th

null

We consider a uniaxial planar ferromagnet coupled minimally to an Abelian Chern-Simons gauge field and study self-dual solitons which saturate the Bogomol'nyi bound. We find a rich structure of rotationally symmetric static soliton solutions for various uniform background charge densities. For a given ferromagnet material, the properties of these solitons are controlled only by the external magnetic field and the background charge.

[ { "created": "Thu, 27 Mar 1997 00:33:38 GMT", "version": "v1" } ]

2014-11-18

[ [ "Kim", "Yoonbai", "" ], [ "Oh", "Phillial", "" ], [ "Rim", "Chaiho", "" ] ]

We consider a uniaxial planar ferromagnet coupled minimally to an Abelian Chern-Simons gauge field and study self-dual solitons which saturate the Bogomol'nyi bound. We find a rich structure of rotationally symmetric static soliton solutions for various uniform background charge densities. For a given ferromagnet material, the properties of these solitons are controlled only by the external magnetic field and the background charge.

7.74634

6.722458

8.950204

6.950963

7.662875

6.266351

6.738502

6.692445

6.219035

7.954244

6.534578

6.908622

7.082054

6.6465

6.701341

6.927246

6.690347

6.80973

6.735408

6.828191

7.077875

1311.4205

Itzhak Bars

Ignacio J. Araya and Itzhak Bars

Generalized Dualities in 1T-Physics as Holographic Predictions from 2T-Physics

55 pages. More references in v2

Phys. Rev. D 89, 066011 (2014)

10.1103/PhysRevD.89.066011

null

hep-th math-ph math.MP

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

In the conventional formalism of physics, with 1-time, systems with different Hamiltonians or Lagrangians have different physical interpretations and are considered to be independent systems unrelated to each other. However, in this paper we construct explicitly canonical maps in 1T phase space (including timelike components, specifically the Hamiltonian) to show that it is appropriate to regard various 1T-physics systems, with different Lagrangians or Hamiltonians, as being duals of each other. This concept is similar in spirit to dualities discovered in more complicated examples in field theory or string theory. Our approach makes it evident that such generalized dualities are widespread. This suggests that, as a general phenomenon, there are hidden relations and hidden symmetries that conventional 1T-physics does not capture, implying the existence of a more unified formulation of physics that naturally supplies the hidden information. In fact, we show that 2T-physics in (d+2)-dimensions is the generator of these dualities in 1T-physics in d-dimensions by providing a holographic perspective that unifies all the dual 1T systems into one. The unifying ingredient is a gauge symmetry in phase space. Via such dualities it is then possible to gain new insights toward new physical predictions not suspected before, and suggest new methods of computation that yield results not obtained before. As an illustration, we will provide concrete examples of 1T-systems in classical mechanics that are solved analytically for the first time via our dualities. These dualities in classical mechanics have counterparts in quantum mechanics and field theory, and in some simpler cases they have already been constructed in field theory. We comment on the impact of our approach on the meaning of spacetime and on the development of new computational methods based on dualities.

[ { "created": "Sun, 17 Nov 2013 19:27:36 GMT", "version": "v1" }, { "created": "Tue, 11 Feb 2014 06:49:25 GMT", "version": "v2" } ]

2014-03-26

[ [ "Araya", "Ignacio J.", "" ], [ "Bars", "Itzhak", "" ] ]

In the conventional formalism of physics, with 1-time, systems with different Hamiltonians or Lagrangians have different physical interpretations and are considered to be independent systems unrelated to each other. However, in this paper we construct explicitly canonical maps in 1T phase space (including timelike components, specifically the Hamiltonian) to show that it is appropriate to regard various 1T-physics systems, with different Lagrangians or Hamiltonians, as being duals of each other. This concept is similar in spirit to dualities discovered in more complicated examples in field theory or string theory. Our approach makes it evident that such generalized dualities are widespread. This suggests that, as a general phenomenon, there are hidden relations and hidden symmetries that conventional 1T-physics does not capture, implying the existence of a more unified formulation of physics that naturally supplies the hidden information. In fact, we show that 2T-physics in (d+2)-dimensions is the generator of these dualities in 1T-physics in d-dimensions by providing a holographic perspective that unifies all the dual 1T systems into one. The unifying ingredient is a gauge symmetry in phase space. Via such dualities it is then possible to gain new insights toward new physical predictions not suspected before, and suggest new methods of computation that yield results not obtained before. As an illustration, we will provide concrete examples of 1T-systems in classical mechanics that are solved analytically for the first time via our dualities. These dualities in classical mechanics have counterparts in quantum mechanics and field theory, and in some simpler cases they have already been constructed in field theory. We comment on the impact of our approach on the meaning of spacetime and on the development of new computational methods based on dualities.

11.371378

11.043462

11.864772

11.168839

11.936244

11.602571

11.738393

11.418927

10.90595

12.393806

10.921695

11.221614

11.55029

11.08919

11.067165

11.208944

11.214375

11.184812

10.944972

11.384295

11.002758

hep-th/0204121

Nathan Jacob Berkovits

Nathan Berkovits and Osvaldo Chandia

Massive Superstring Vertex Operator in D=10 Superspace

Added references

JHEP 0208 (2002) 040

10.1088/1126-6708/2002/08/040

IFT-P.025/2002

hep-th

null

Using the pure spinor formalism for the superstring, the vertex operator for the first massive states of the open superstring is constructed in a manifestly super-Poincar\'e covariant manner. This vertex operator describes a massive spin-two multiplet in terms of ten-dimensional superfields.

[ { "created": "Mon, 15 Apr 2002 19:51:46 GMT", "version": "v1" }, { "created": "Tue, 16 Apr 2002 17:32:39 GMT", "version": "v2" }, { "created": "Fri, 26 Apr 2002 21:27:33 GMT", "version": "v3" } ]

2009-11-07

[ [ "Berkovits", "Nathan", "" ], [ "Chandia", "Osvaldo", "" ] ]

Using the pure spinor formalism for the superstring, the vertex operator for the first massive states of the open superstring is constructed in a manifestly super-Poincar\'e covariant manner. This vertex operator describes a massive spin-two multiplet in terms of ten-dimensional superfields.

6.797591

4.256181

6.540796

4.273169

4.270634

4.380181

4.0921

3.988086

4.485966

6.122622

4.619179

5.170393

5.924185

5.109103

5.031799

5.40541

5.257598

4.957415

5.216684

5.87712

5.274655

hep-th/9502073

Evgenyi Ivanov

Evgenyi A. Ivanov

On the harmonic superspace geometry of $(4,4)$ supersymmetric sigma models with torsion

33 pages, LaTeX, the essentially extended and revised version to be published in Phys. Rev. D

Phys. Rev. D 53, 2201 (1996)

10.1103/PhysRevD.53.2201

ESI-196 (1995), JINR E2-95-53

hep-th

null

Starting from the dual action of $(4,4)$ $2D$ twisted multiplets in the harmonic superspace with two independent sets of $SU(2)$ harmonic variables, we present its generalization which hopefully provides an off-shell description of general $(4,4)$ supersymmetric sigma models with torsion. Like the action of the torsionless $(4,4)$ hyper-K\"ahler sigma models in the standard harmonic superspace, it is characterized by a number of superfield potentials. They depend on $n$ copies of a triple of analytic harmonic $(4,4)$ superfields. As distinct from the hyper-K\"ahler case, the potentials prove to be severely constrained by the self-consistency condition which stems from the commutativity of the left and right harmonic derivatives. We show that for $n=1$ these constraints reduce the general action to that of $(4,4)$ twisted multiplet, while for $n\geq 2$ there exists a wide class of new actions which cannot be written only via twisted multiplets. Their most striking feature is the nonabelian and in general nonlinear gauge invariance which substitutes the abelian gauge symmetry of the dual action of twisted multiplets and ensures the correct number of physical degrees of freedom. We show, on a simple example, that these actions describe sigma models with non-commuting left and right complex structures on the bosonic target.

[ { "created": "Mon, 13 Feb 1995 20:51:45 GMT", "version": "v1" }, { "created": "Mon, 25 Dec 1995 18:13:04 GMT", "version": "v2" } ]

2016-08-24

[ [ "Ivanov", "Evgenyi A.", "" ] ]

Starting from the dual action of $(4,4)$ $2D$ twisted multiplets in the harmonic superspace with two independent sets of $SU(2)$ harmonic variables, we present its generalization which hopefully provides an off-shell description of general $(4,4)$ supersymmetric sigma models with torsion. Like the action of the torsionless $(4,4)$ hyper-K\"ahler sigma models in the standard harmonic superspace, it is characterized by a number of superfield potentials. They depend on $n$ copies of a triple of analytic harmonic $(4,4)$ superfields. As distinct from the hyper-K\"ahler case, the potentials prove to be severely constrained by the self-consistency condition which stems from the commutativity of the left and right harmonic derivatives. We show that for $n=1$ these constraints reduce the general action to that of $(4,4)$ twisted multiplet, while for $n\geq 2$ there exists a wide class of new actions which cannot be written only via twisted multiplets. Their most striking feature is the nonabelian and in general nonlinear gauge invariance which substitutes the abelian gauge symmetry of the dual action of twisted multiplets and ensures the correct number of physical degrees of freedom. We show, on a simple example, that these actions describe sigma models with non-commuting left and right complex structures on the bosonic target.

7.771458

6.247759

8.468194

6.625717

6.868392

6.476251

6.218186

6.493619

6.571589

10.218548

6.211264

7.309941

8.084662

7.04433

7.146824

7.096369

7.090681

6.855624

7.181998

7.654594

7.092535

1904.00965

Till Bargheer

Till Bargheer, Frank Coronado, Pedro Vieira

Octagons I: Combinatorics and Non-Planar Resummations

22+26 pages, 29 figures; v2: references updated, small changes and additions, published version

J. High Energ. Phys. (2019) 2019: 162

10.1007/JHEP08(2019)162

null

hep-th

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

We explain how the 't Hooft expansion of correlators of half-BPS operators can be resummed in a large-charge limit in N=4 super Yang-Mills theory. The full correlator in the limit is given by a non-trivial function of two variables: One variable is the charge of the BPS operators divided by the square root of the number Nc of colors; the other variable is the octagon that contains all the 't Hooft coupling and spacetime dependence. At each genus g in the large Nc expansion, this function is a polynomial of degree 2g+2 in the octagon. We find several dual matrix model representations of the correlators in the large-charge limit. Amusingly, the number of colors in these matrix models is formally taken to zero in the relevant limit.

[ { "created": "Mon, 1 Apr 2019 17:00:34 GMT", "version": "v1" }, { "created": "Mon, 16 Sep 2019 19:25:04 GMT", "version": "v2" } ]

2019-09-18

[ [ "Bargheer", "Till", "" ], [ "Coronado", "Frank", "" ], [ "Vieira", "Pedro", "" ] ]

We explain how the 't Hooft expansion of correlators of half-BPS operators can be resummed in a large-charge limit in N=4 super Yang-Mills theory. The full correlator in the limit is given by a non-trivial function of two variables: One variable is the charge of the BPS operators divided by the square root of the number Nc of colors; the other variable is the octagon that contains all the 't Hooft coupling and spacetime dependence. At each genus g in the large Nc expansion, this function is a polynomial of degree 2g+2 in the octagon. We find several dual matrix model representations of the correlators in the large-charge limit. Amusingly, the number of colors in these matrix models is formally taken to zero in the relevant limit.

7.217244

7.307609

8.224238

6.679016

7.220856

7.739552

7.071668

6.973557

6.529042

8.95893

6.83626

6.954113

7.332731

6.812191

7.107364

6.998058

7.018026

7.011441

6.945399

7.392898

6.951809

hep-th/9811132

Tonnis ter Veldhuis

Tonnis A. ter Veldhuis

Unexpected symmetries in classical moduli spaces

18 pages, no figures

Phys. Rev. D 60, 015001 (1999)

10.1103/PhysRevD.60.015001

UH--511--919--98

hep-th

null

We analyze the structure of the moduli space of a supersymmetric SU(5) chiral gauge theory with two matter fields in the 10 representation, and two fields in the \bar{5} representation. Inspection of the exact Kahler potential of the classical moduli space shows that the symmetry group of the moduli space is larger than the global symmetry group of the underlying gauge theory. As a consequence, the gauge theory has classical inequivalent vacua which yield identical low energy theories.

[ { "created": "Fri, 13 Nov 1998 20:35:47 GMT", "version": "v1" } ]

2016-08-25

[ [ "ter Veldhuis", "Tonnis A.", "" ] ]

We analyze the structure of the moduli space of a supersymmetric SU(5) chiral gauge theory with two matter fields in the 10 representation, and two fields in the \bar{5} representation. Inspection of the exact Kahler potential of the classical moduli space shows that the symmetry group of the moduli space is larger than the global symmetry group of the underlying gauge theory. As a consequence, the gauge theory has classical inequivalent vacua which yield identical low energy theories.

6.243546

5.822642

6.216431

5.413949

5.233137

5.303608

4.994013

5.277591

5.078571

6.325178

5.286313

5.487209

5.885319

5.56349

5.532936

5.609255

5.50905

5.435386

5.408288

5.848481

5.514302

1406.2937

Suresh Nampuri Dr.

Kevin Goldstein, Suresh Nampuri, \'Alvaro V\'eliz-Osorio

Heating up branes in gauged supergravity

Minor typographic corrections

JHEP 1408 (2014) 151

10.1007/JHEP08(2014)151

WITS-CTP-136

hep-th gr-qc

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

In this note, we explore the solution space of non-extremal black objects in $4D$ and $5D$ ${\cal N}=2$ gauged supergravity in the presence of fluxes. We present first order rewritings of the $4D$ action for a classes of non-extremal dyonic and electric solutions with electric flux backgrounds. Additionally, we obtain the non-extremal version of the Nernst brane in $AdS_5$ using a simple deformation. Finally, we develop a new technique to deform extremal black solutions in $4D$ to non-extremal solutions by an analysis of the symmetries of the equations of motion.

[ { "created": "Wed, 11 Jun 2014 15:34:55 GMT", "version": "v1" }, { "created": "Wed, 8 Oct 2014 09:36:35 GMT", "version": "v2" } ]

2014-10-22

[ [ "Goldstein", "Kevin", "" ], [ "Nampuri", "Suresh", "" ], [ "Véliz-Osorio", "Álvaro", "" ] ]

In this note, we explore the solution space of non-extremal black objects in $4D$ and $5D$ ${\cal N}=2$ gauged supergravity in the presence of fluxes. We present first order rewritings of the $4D$ action for a classes of non-extremal dyonic and electric solutions with electric flux backgrounds. Additionally, we obtain the non-extremal version of the Nernst brane in $AdS_5$ using a simple deformation. Finally, we develop a new technique to deform extremal black solutions in $4D$ to non-extremal solutions by an analysis of the symmetries of the equations of motion.

7.678731

6.502981

7.090874

6.453513

6.472488

6.687457

6.304144

6.580025

6.306346

7.699146

6.210139

6.676053

6.990717

6.574515

6.735101

6.722419

6.7211

6.677662

6.587025

7.229502

6.672472

hep-th/0403080

Akihiro Murayama

Shoichi Ichinose and Akihiro Murayama

A Bulk Effect to SUSY Effective Potential in a 5D Super-Yang-Mills Model

15 pages, 2 figures

Phys.Lett.B593:242-252,2004

10.1016/j.physletb.2004.05.002

US-03-07

hep-th

null

Supersymmetric effective potential of a 5D super-Yang-Mills model compactified on $S^1/Z_2$, i.e., on an interval $l$ of extra dimension, is estimated at the 1-loop level by the auxiliary field tadpole method. For the sake of infinite towers of Kaluza-Klein excitation modes of bulk fields involved in the tadpoles, there arises a definite bulk effect of linear growth of the effective potential along with the cutoff ${\mit\Lambda}$ which is greatly suppressed by $l$ to produce finite contributions. The minimization of the effective potential incorporating the tree potential and a Fayet-Iliopoulos $D$-term reveals an interesting case that the size of $l$ is stabilized at a length corresponding to an intermediate mass scale $10^{12-14}$ GeV.

[ { "created": "Mon, 8 Mar 2004 02:33:33 GMT", "version": "v1" }, { "created": "Fri, 12 Mar 2004 08:55:25 GMT", "version": "v2" }, { "created": "Mon, 22 Mar 2004 10:23:21 GMT", "version": "v3" }, { "created": "Wed, 14 Apr 2004 05:49:30 GMT", "version": "v4" }, { "created": "Wed, 28 Apr 2004 03:06:18 GMT", "version": "v5" } ]

2010-11-19

[ [ "Ichinose", "Shoichi", "" ], [ "Murayama", "Akihiro", "" ] ]

Supersymmetric effective potential of a 5D super-Yang-Mills model compactified on $S^1/Z_2$, i.e., on an interval $l$ of extra dimension, is estimated at the 1-loop level by the auxiliary field tadpole method. For the sake of infinite towers of Kaluza-Klein excitation modes of bulk fields involved in the tadpoles, there arises a definite bulk effect of linear growth of the effective potential along with the cutoff ${\mit\Lambda}$ which is greatly suppressed by $l$ to produce finite contributions. The minimization of the effective potential incorporating the tree potential and a Fayet-Iliopoulos $D$-term reveals an interesting case that the size of $l$ is stabilized at a length corresponding to an intermediate mass scale $10^{12-14}$ GeV.

12.246284

11.053445

11.634228

10.308866

11.371234

10.970515

10.574175

9.753487

10.873403

11.961699

10.307162

11.316512

11.462663

10.774811

10.932188

11.48316

11.131677

11.312649

11.227532

11.467644

11.163312

1309.2977

Olaf Hohm

Olaf Hohm, Dieter Lust and Barton Zwiebach

The Spacetime of Double Field Theory: Review, Remarks, and Outlook

50 pages, v2: minor corrections, version to be published in Fortschritte der Physik, v3: refs. added, discussion of non-geometric backgrounds extended

null

10.1002/prop.201300024

MIT-CTP-4494, LMU-ASC 59/13, MPP-2013-241

hep-th

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

We review double field theory (DFT) with emphasis on the doubled spacetime and its generalized coordinate transformations, which unify diffeomorphisms and b-field gauge transformations. We illustrate how the composition of generalized coordinate transformations fails to associate. Moreover, in dimensional reduction, the O(d,d) T-duality transformations of fields can be obtained as generalized diffeomorphisms. Restricted to a half-dimensional subspace, DFT includes `generalized geometry', but is more general in that local patches of the doubled space may be glued together with generalized coordinate transformations. Indeed, we show that for certain T-fold backgrounds with non-geometric fluxes, there are generalized coordinate transformations that induce, as gauge symmetries of DFT, the requisite O(d,d;Z) monodromy transformations. Finally we review recent results on the \alpha' extension of DFT which, reduced to the half-dimensional subspace, yields intriguing modifications of the basic structures of generalized geometry.

[ { "created": "Wed, 11 Sep 2013 21:12:45 GMT", "version": "v1" }, { "created": "Mon, 30 Sep 2013 14:50:42 GMT", "version": "v2" }, { "created": "Thu, 30 Oct 2014 18:23:16 GMT", "version": "v3" } ]

2015-06-17

[ [ "Hohm", "Olaf", "" ], [ "Lust", "Dieter", "" ], [ "Zwiebach", "Barton", "" ] ]

We review double field theory (DFT) with emphasis on the doubled spacetime and its generalized coordinate transformations, which unify diffeomorphisms and b-field gauge transformations. We illustrate how the composition of generalized coordinate transformations fails to associate. Moreover, in dimensional reduction, the O(d,d) T-duality transformations of fields can be obtained as generalized diffeomorphisms. Restricted to a half-dimensional subspace, DFT includes `generalized geometry', but is more general in that local patches of the doubled space may be glued together with generalized coordinate transformations. Indeed, we show that for certain T-fold backgrounds with non-geometric fluxes, there are generalized coordinate transformations that induce, as gauge symmetries of DFT, the requisite O(d,d;Z) monodromy transformations. Finally we review recent results on the \alpha' extension of DFT which, reduced to the half-dimensional subspace, yields intriguing modifications of the basic structures of generalized geometry.

10.601685

10.886388

12.186518

10.133893

10.51596

11.092393

9.848434

10.541394

9.579363

13.066749

10.308125

10.355302

10.981568

9.878474

10.375978

10.26726

10.39808

10.085575

9.990994

10.809063

10.053161