LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1505.01241

Ardian Nata Atmaja

Ardian Nata Atmaja, Handhika Satrio Ramadhan, Eduardo da Hora

A Detailed Study of Bogomol'nyi Equations in Two-Dimensional Generalized Maxwell-Higgs Model Using \textit{On-Shell} Method

draft, 18 pages

JHEP 1602 (2016) 117

10.1007/JHEP02(2016)117

null

hep-th math-ph math.MP

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

We use a recent {\it on-shell} Bogomol'nyi method, developed in~\cite{Atmaja:2014fha}, to construct Bogomol'nyi equations of the two-dimensional generalized Maxwell-Higgs model~\cite{Bazeia:2012uc}. The formalism can generate a large class of Bogomol'nyi equations parametrized by a constant $C_0$. The resulting equations are classified into two types, determined by $C_0=0$ and $C_0\neq0$. We identify that the ones obtained by Bazeia {\it et al}~\cite{Bazeia:2012uc} are of the type $C_0=0$. We also reveal, as in the case of ordinary vortex, that this theory does not admit Bogomol'nyi equations in the Bogomol'nyi-Prasad-Sommerfield limit in its spectrum. However, when the vacuum energy is lifted up by adding some constant to the energy density then the existence of such equation is possible. Another possibility whose energy is equal to the vacuum is also discussed in brief. As a future of the \textit{on-shell} method, we find another new Bogomol'nyi equations, for $C_0\neq0$, which are related to a non-trivial function defined as a difference between energy density of potential term of the scalar field and kinetic term of the gauge field.

[ { "created": "Wed, 6 May 2015 03:00:52 GMT", "version": "v1" } ]

2016-06-10

[ [ "Atmaja", "Ardian Nata", "" ], [ "Ramadhan", "Handhika Satrio", "" ], [ "da Hora", "Eduardo", "" ] ]

We use a recent {\it on-shell} Bogomol'nyi method, developed in~\cite{Atmaja:2014fha}, to construct Bogomol'nyi equations of the two-dimensional generalized Maxwell-Higgs model~\cite{Bazeia:2012uc}. The formalism can generate a large class of Bogomol'nyi equations parametrized by a constant $C_0$. The resulting equations are classified into two types, determined by $C_0=0$ and $C_0\neq0$. We identify that the ones obtained by Bazeia {\it et al}~\cite{Bazeia:2012uc} are of the type $C_0=0$. We also reveal, as in the case of ordinary vortex, that this theory does not admit Bogomol'nyi equations in the Bogomol'nyi-Prasad-Sommerfield limit in its spectrum. However, when the vacuum energy is lifted up by adding some constant to the energy density then the existence of such equation is possible. Another possibility whose energy is equal to the vacuum is also discussed in brief. As a future of the \textit{on-shell} method, we find another new Bogomol'nyi equations, for $C_0\neq0$, which are related to a non-trivial function defined as a difference between energy density of potential term of the scalar field and kinetic term of the gauge field.

7.115613

7.37093

7.768886

6.721768

7.606828

7.326552

7.040257

7.091124

6.804867

7.867867

6.717426

7.152359

7.268226

6.950709

7.037436

7.140975

7.108974

7.070898

6.998322

7.275667

7.190883

2304.01743

Pietro Antonio Grassi

Remarks on the Integral Form of D=11 Supergravity

18 pages. arXiv admin note: text overlap with arXiv:2105.09196

null

hep-th

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

We make some considerations and remarks on D=11 supergravity and its integral form. We start from the geometrical formulation of supergravity and by means of the integral form technique we provide a superspace action that reproduces (at the quadratic level) the recent formulation of supergravity in pure spinor framework. We also make some remarks on Chevalley-Eilenberg cocycles and their Hodge duals.

[ { "created": "Tue, 4 Apr 2023 12:26:10 GMT", "version": "v1" } ]

2023-04-05

[ [ "Grassi", "Pietro Antonio", "" ] ]

We make some considerations and remarks on D=11 supergravity and its integral form. We start from the geometrical formulation of supergravity and by means of the integral form technique we provide a superspace action that reproduces (at the quadratic level) the recent formulation of supergravity in pure spinor framework. We also make some remarks on Chevalley-Eilenberg cocycles and their Hodge duals.

13.078238

10.301352

12.818052

9.792588

10.751027

9.921177

10.013005

10.837722

10.302145

12.21739

10.352321

10.864634

12.087011

10.716028

11.52414

11.361174

10.696193

10.860691

10.647298

11.771661

10.996941

hep-th/9701168

null

Ansar Fayyazuddin and Douglas J. Smith

P-brane solutions in IKKT IIB matrix theory

7 pages, LaTeX

Mod.Phys.Lett. A12 (1997) 1447-1454

10.1142/S0217732397001473

NBI-HE-97-02

hep-th

null

We find p-brane solutions to the recently proposed IKKT IIB matrix theory for all odd p. We also propose central charges for the p-branes.

[ { "created": "Wed, 29 Jan 1997 10:52:16 GMT", "version": "v1" } ]

2015-06-26

[ [ "Fayyazuddin", "Ansar", "" ], [ "Smith", "Douglas J.", "" ] ]

We find p-brane solutions to the recently proposed IKKT IIB matrix theory for all odd p. We also propose central charges for the p-branes.

26.914385

14.41917

24.481312

16.831501

16.983715

15.359612

14.13072

14.321249

15.64575

21.907681

16.129211

17.515638

23.993942

15.899855

17.264595

16.225636

16.991741

17.001249

18.221447

22.580688

15.838864

0806.3122

Tadakatsu Sakai

Koji Hashimoto, Tadakatsu Sakai, Shigeki Sugimoto

Holographic Baryons : Static Properties and Form Factors from Gauge/String Duality

Latex 2e, 45 pages, v2: a figure is added to compare electromagnetic form factors with a dipole profile, v3: version published in PTP, v4: magnetic moments of Delta corrected

Prog.Theor.Phys.120:1093-1137,2008

10.1143/PTP.120.1093

IU-MSTP-75, IPMU 08-0027, RIKEN-TH-129

hep-th hep-ph nucl-th

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

In this paper, we study properties of baryons by using a holographic dual of QCD on the basis of the D4/D8-brane configuration, where baryons are described by a soliton. We first determine the asymptotic behavior of the soliton solution, which allows us to evaluate well-defined currents associated with the U(N_f)_L \times U(N_f)_R chiral symmetry. Using the currents, we compute static quantities of baryons such as charge radii and magnetic moments, and make a quantitative test with experiments. It is emphasized that not only the nucleon but also excited baryons, such as \Delta, N(1440), N(1535) etc., can be analyzed systematically in this model. We also investigate the form factors and find that our form factors agree well with the results that are well-established empirically. With the form factors, the effective baryon-baryon-meson cubic coupling constants among their infinite towers in the model can be determined. Some physical implications following from these results are discussed.

[ { "created": "Thu, 19 Jun 2008 16:01:28 GMT", "version": "v1" }, { "created": "Tue, 15 Jul 2008 09:49:25 GMT", "version": "v2" }, { "created": "Sat, 31 Jan 2009 04:16:28 GMT", "version": "v3" }, { "created": "Thu, 4 Mar 2010 07:25:31 GMT", "version": "v4" } ]

2010-03-04

[ [ "Hashimoto", "Koji", "" ], [ "Sakai", "Tadakatsu", "" ], [ "Sugimoto", "Shigeki", "" ] ]

In this paper, we study properties of baryons by using a holographic dual of QCD on the basis of the D4/D8-brane configuration, where baryons are described by a soliton. We first determine the asymptotic behavior of the soliton solution, which allows us to evaluate well-defined currents associated with the U(N_f)_L \times U(N_f)_R chiral symmetry. Using the currents, we compute static quantities of baryons such as charge radii and magnetic moments, and make a quantitative test with experiments. It is emphasized that not only the nucleon but also excited baryons, such as \Delta, N(1440), N(1535) etc., can be analyzed systematically in this model. We also investigate the form factors and find that our form factors agree well with the results that are well-established empirically. With the form factors, the effective baryon-baryon-meson cubic coupling constants among their infinite towers in the model can be determined. Some physical implications following from these results are discussed.

7.311853

8.01134

7.242414

6.976601

7.472193

7.212492

7.562595

7.226994

7.154133

7.780299

7.088499

6.998292

6.818708

6.711035

6.75913

6.921833

6.984664

6.977183

6.834022

6.752146

7.118318

1011.6667

Andrzej Wereszczynski

Antti J. Niemi and Andrzej Wereszczynski

On Solutions to the "Faddeev-Niemi" Equations

4 pages; v2 typos corrected

null

10.1063/1.3603993

null

hep-th

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

Recently it has been pointed out that the "Faddeev-Niemi" equations that correspond to the Yang-Mills equations of motion for a decomposed gauge field, can have solutions that obey the standard Yang-Mills equations with a source term. Here we present a general class of such gauge field configurations.

[ { "created": "Tue, 30 Nov 2010 20:28:08 GMT", "version": "v1" }, { "created": "Wed, 1 Dec 2010 15:00:10 GMT", "version": "v2" } ]

2015-05-20

[ [ "Niemi", "Antti J.", "" ], [ "Wereszczynski", "Andrzej", "" ] ]

Recently it has been pointed out that the "Faddeev-Niemi" equations that correspond to the Yang-Mills equations of motion for a decomposed gauge field, can have solutions that obey the standard Yang-Mills equations with a source term. Here we present a general class of such gauge field configurations.

11.62559

8.003598

9.669471

8.213202

8.949803

8.175023

10.161932

8.882552

8.319971

10.266961

9.44054

9.320321

9.48618

9.248103

9.27242

8.753264

8.944279

9.443894

9.319725

10.144566

8.830776

hep-th/0608221

John W. Barrett

A Lorentzian version of the non-commutative geometry of the standard model of particle physics

Approx. 14 pages. v2: minor corrections; conclusions unaffected

J.Math.Phys.48:012303,2007

10.1063/1.2408400

null

hep-th math.OA math.QA

null

A formulation of the non-commutative geometry for the standard model of particle physics with a Lorentzian signature metric is presented. The elimination of the fermion doubling in the Lorentzian case is achieved by a modification of Connes' internal space geometry so that it has signature 6 (mod 8) rather than 0. The fermionic part of the Connes-Chamseddine spectral action can be formulated, and it is shown that it allows an extension with right-handed neutrinos and the correct mass terms for the see-saw mechanism of neutrino mass generation.

[ { "created": "Thu, 31 Aug 2006 16:24:38 GMT", "version": "v1" }, { "created": "Mon, 6 Nov 2006 17:30:32 GMT", "version": "v2" } ]

2008-11-26

[ [ "Barrett", "John W.", "" ] ]

A formulation of the non-commutative geometry for the standard model of particle physics with a Lorentzian signature metric is presented. The elimination of the fermion doubling in the Lorentzian case is achieved by a modification of Connes' internal space geometry so that it has signature 6 (mod 8) rather than 0. The fermionic part of the Connes-Chamseddine spectral action can be formulated, and it is shown that it allows an extension with right-handed neutrinos and the correct mass terms for the see-saw mechanism of neutrino mass generation.

7.815742

8.560163

8.147859

7.486668

8.034487

8.681846

8.071225

7.652638

7.778748

7.716906

7.482162

7.650122

7.784317

7.579532

7.546178

7.420884

7.299525

7.759216

7.379647

7.847253

7.513932

hep-th/0506044

Badis Ydri

P.Castro-Villarreal, R.Delgadillo-Blando, Badis Ydri

Quantum effective potential for U(1) fields on S^2_L X S^2_L

13 pages. one figure

JHEP 0509 (2005) 066

10.1088/1126-6708/2005/09/066

null

hep-th

null

We compute the one-loop effective potential for noncommutative U(1) gauge fields on S^2_L X S^2_L. We show the existence of a novel phase transition in the model from the 4-dimensional space S^2_L X S^2_L to a matrix phase where the spheres collapse under the effect of quantum fluctuations. It is also shown that the transition to the matrix phase occurs at infinite value of the gauge coupling constant when the mass of the two normal components of the gauge field on S^2_L X S^2_L is sent to infinity.

[ { "created": "Sat, 4 Jun 2005 15:34:41 GMT", "version": "v1" } ]

2009-11-11

[ [ "Castro-Villarreal", "P.", "" ], [ "Delgadillo-Blando", "R.", "" ], [ "Ydri", "Badis", "" ] ]

We compute the one-loop effective potential for noncommutative U(1) gauge fields on S^2_L X S^2_L. We show the existence of a novel phase transition in the model from the 4-dimensional space S^2_L X S^2_L to a matrix phase where the spheres collapse under the effect of quantum fluctuations. It is also shown that the transition to the matrix phase occurs at infinite value of the gauge coupling constant when the mass of the two normal components of the gauge field on S^2_L X S^2_L is sent to infinity.

7.403198

6.844515

7.59138

6.4565

6.905825

6.519715

6.669145

6.409219

6.504883

7.924322

6.493507

6.661203

7.207312

6.540697

6.413648

6.821702

6.447554

6.614093

6.732472

7.414453

6.4718

2211.16600

Elizabeth Wildenhain

Ido Ben-Dayan, Merav Hadad, Elizabeth Wildenhain

Islands in the Fluid: Islands are Common in Cosmology

26 pages, 5 figures

null

10.1007/JHEP03(2023)077

null

hep-th astro-ph.CO gr-qc

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

We discuss the possibility of entanglement islands in cosmological spacetimes with a general perfect fluid with an equation of state $w$. We find that flat universes with time-symmetric slices where the Hubble parameter vanishes always have islands on that slice. We then move away from such slices, considering still universes with a general perfect fluid. Under the local thermal equilibrium assumption, the comoving entropy density $s_c$ is constant. As a result, the conditions for an island become an inequality between the energy density (or Hubble parameter) and the temperature at some time of normalization. The consequences are that islands can exist for practically all fluids that are not radiation, i.e. $w\neq 1/3$. We also discuss the ramifications of our results for universes with spatial curvature. Finally, we show that islands occur in the Simple Harmonic Universe model which has no classical singularity at the background level, in contrast to all previous examples where islands occurred only in space-times with singularities.

[ { "created": "Tue, 29 Nov 2022 21:38:08 GMT", "version": "v1" } ]

2023-03-29

[ [ "Ben-Dayan", "Ido", "" ], [ "Hadad", "Merav", "" ], [ "Wildenhain", "Elizabeth", "" ] ]

We discuss the possibility of entanglement islands in cosmological spacetimes with a general perfect fluid with an equation of state $w$. We find that flat universes with time-symmetric slices where the Hubble parameter vanishes always have islands on that slice. We then move away from such slices, considering still universes with a general perfect fluid. Under the local thermal equilibrium assumption, the comoving entropy density $s_c$ is constant. As a result, the conditions for an island become an inequality between the energy density (or Hubble parameter) and the temperature at some time of normalization. The consequences are that islands can exist for practically all fluids that are not radiation, i.e. $w\neq 1/3$. We also discuss the ramifications of our results for universes with spatial curvature. Finally, we show that islands occur in the Simple Harmonic Universe model which has no classical singularity at the background level, in contrast to all previous examples where islands occurred only in space-times with singularities.

11.73042

12.604358

12.081701

11.264951

12.477678

11.765913

11.454366

10.943994

11.853148

12.474349

11.315781

11.4997

11.404985

11.168234

10.907731

11.364878

11.135074

11.153716

11.410023

11.646033

11.131281

2212.04152

Crucean Cosmin

Diana Dumitrele, Mihaela-Andreea B\u{a}loi and Cosmin Crucean

A perturbative production of massive Z bosons and fermion-antifermion pairs from the vacuum in the de Sitter Universe

55 pages, 24 figures

null

10.1140/epjc/s10052-023-11872-6

null

hep-th

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

In this paper we study the problem of neutral electro-weak interactions in a de Sitter geometry. We develop the formalism of reduction for the Proca field with the help of the solutions for the interacting fields and by using perturbative methods we obtain the definition of the transition amplitudes in the first order of perturbation theory. As an application to our formalism we study the generation of massive fermions and Z bosons from vacuum in the expanding de Sitter universe. Our results are the generalization to the curved geometry of the Weinberg-Salam electro-weak theory for the case of Z boson interaction with leptons. The probability is found to be a quantity that depends on the Hubble parameter and we prove that such perturbative processes are possible only for large expansion regime of the early Universe. The total probability and rate of transition are obtained for the case of large expansion and we use the dimensional regularization for extract finite results from the momenta integrals. In the Minkowski limit we obtain that the probability of particle generation from vacuum is vanishing recovering the well known result that forbids particle production in flat space-time due to the momentum-energy conservation.

[ { "created": "Thu, 8 Dec 2022 09:17:51 GMT", "version": "v1" }, { "created": "Fri, 28 Jul 2023 09:50:06 GMT", "version": "v2" } ]

2023-11-27

[ [ "Dumitrele", "Diana", "" ], [ "Băloi", "Mihaela-Andreea", "" ], [ "Crucean", "Cosmin", "" ] ]

In this paper we study the problem of neutral electro-weak interactions in a de Sitter geometry. We develop the formalism of reduction for the Proca field with the help of the solutions for the interacting fields and by using perturbative methods we obtain the definition of the transition amplitudes in the first order of perturbation theory. As an application to our formalism we study the generation of massive fermions and Z bosons from vacuum in the expanding de Sitter universe. Our results are the generalization to the curved geometry of the Weinberg-Salam electro-weak theory for the case of Z boson interaction with leptons. The probability is found to be a quantity that depends on the Hubble parameter and we prove that such perturbative processes are possible only for large expansion regime of the early Universe. The total probability and rate of transition are obtained for the case of large expansion and we use the dimensional regularization for extract finite results from the momenta integrals. In the Minkowski limit we obtain that the probability of particle generation from vacuum is vanishing recovering the well known result that forbids particle production in flat space-time due to the momentum-energy conservation.

10.798747

10.289437

9.106943

9.296151

10.391376

10.12028

10.428101

8.334992

9.515682

9.569743

9.947728

9.915206

9.745042

9.719611

9.666571

9.732341

9.787653

9.33057

10.197255

10.285096

10.21797

1911.12221

Carlos M. Reyes

Ricardo Avila, Jose R. Nascimento, Albert Yu. Petrov, Carlos M. Reyes and Marco Schreck

Causality, unitarity, and indefinite metric in Maxwell-Chern-Simons extensions

New version published in PRD, Lee-Wick prescription in Sec. IV-C, 27 pages, 5 figures

Phys. Rev. D 101, 055011 (2020)

10.1103/PhysRevD.101.055011

null

hep-th hep-ph

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

We canonically quantize $(2+1)$-dimensional electrodynamics including a higher-derivative Chern-Simons term. The effective theory describes a standard photon and an additional degree of freedom associated with a massive ghost. We find the Hamiltonian and the algebra satisfied by the field operators. The theory is characterized by an indefinite metric in the Hilbert space that brings up questions on causality and unitarity. We study both of the latter fundamental properties and show that microcausality as well as perturbative unitarity up to one-loop order are conserved when the Lee-Wick prescription is employed.

[ { "created": "Wed, 27 Nov 2019 15:32:29 GMT", "version": "v1" }, { "created": "Sat, 28 Mar 2020 15:48:37 GMT", "version": "v2" } ]

2020-03-31

[ [ "Avila", "Ricardo", "" ], [ "Nascimento", "Jose R.", "" ], [ "Petrov", "Albert Yu.", "" ], [ "Reyes", "Carlos M.", "" ], [ "Schreck", "Marco", "" ] ]

We canonically quantize $(2+1)$-dimensional electrodynamics including a higher-derivative Chern-Simons term. The effective theory describes a standard photon and an additional degree of freedom associated with a massive ghost. We find the Hamiltonian and the algebra satisfied by the field operators. The theory is characterized by an indefinite metric in the Hilbert space that brings up questions on causality and unitarity. We study both of the latter fundamental properties and show that microcausality as well as perturbative unitarity up to one-loop order are conserved when the Lee-Wick prescription is employed.

9.308519

8.008739

9.333334

8.277767

8.568633

8.34473

8.366246

9.035759

8.608904

9.977861

7.982443

8.255687

8.937427

8.487055

8.768559

8.506076

8.569418

8.508002

8.537787

9.252096

8.429058

hep-th/9303167

null

G.Bandelloni A.Blasi

Antisymmetric tensor gauge theory

28 ,Latex,GEF-TH 10/93

Class.Quant.Grav.10:1249-1266,1993

10.1088/0264-9381/10/7/005

null

hep-th

null

We analyze to all perturbative orders the properties of two possible quantum extensions of classically on-shell equivalent antisymmetric tensor gauge models in four dimensions. The first case, related to the soft breaking of a topological theory wants a gauge field of canonical dimension one. The other possibility, which assigns canonical dimension two to the gauge field, leads to the $\sigma$ model interpretation of the theory. In both instances we find that the models are anomaly free.

[ { "created": "Tue, 30 Mar 1993 16:08:00 GMT", "version": "v1" } ]

2010-04-06

[ [ "Blasi", "G. Bandelloni A.", "" ] ]

We analyze to all perturbative orders the properties of two possible quantum extensions of classically on-shell equivalent antisymmetric tensor gauge models in four dimensions. The first case, related to the soft breaking of a topological theory wants a gauge field of canonical dimension one. The other possibility, which assigns canonical dimension two to the gauge field, leads to the $\sigma$ model interpretation of the theory. In both instances we find that the models are anomaly free.

18.628815

14.389001

15.420323

14.012358

14.549738

14.391245

14.397872

14.265733

14.747115

16.745592

13.891357

13.943007

15.714226

14.47458

13.694964

13.354449

13.830825

14.579525

14.043568

15.964735

14.253037

hep-th/9311097

null

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

On the Semi-Relative Condition for Closed (TOPOLOGICAL) Strings

10 pages, harvmac, CERN-TH-7084/93, GEF-TH-21/1993

Phys.Lett.B322:79-83,1994

10.1016/0370-2693(94)90493-6

null

hep-th

null

We provide a simple lagrangian interpretation of the meaning of the $b_0^-$ semi-relative condition in closed string theory. Namely, we show how the semi-relative condition is equivalent to the requirement that physical operators be cohomology classes of the BRS operators acting on the space of local fields {\it covariant} under world-sheet reparametrizations. States trivial in the absolute BRS cohomology but not in the semi-relative one are explicitly seen to correspond to BRS variations of operators which are not globally defined world-sheet tensors. We derive the covariant expressions for the observables of topological gravity. We use them to prove a formula that equates the expectation value of the gravitational descendant of ghost number 4 to the integral over the moduli space of the Weil-Peterson K\"ahler form.

[ { "created": "Wed, 17 Nov 1993 15:51:47 GMT", "version": "v1" } ]

2010-11-01

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

We provide a simple lagrangian interpretation of the meaning of the $b_0^-$ semi-relative condition in closed string theory. Namely, we show how the semi-relative condition is equivalent to the requirement that physical operators be cohomology classes of the BRS operators acting on the space of local fields {\it covariant} under world-sheet reparametrizations. States trivial in the absolute BRS cohomology but not in the semi-relative one are explicitly seen to correspond to BRS variations of operators which are not globally defined world-sheet tensors. We derive the covariant expressions for the observables of topological gravity. We use them to prove a formula that equates the expectation value of the gravitational descendant of ghost number 4 to the integral over the moduli space of the Weil-Peterson K\"ahler form.

11.846208

11.739322

13.488588

12.330638

12.670177

12.466741

11.258671

11.452556

11.529373

12.926111

11.308705

11.798179

12.013337

11.470898

11.449345

11.692489

11.572745

11.696931

11.412765

11.678429

11.252246

hep-th/9504144

Percy Paul

P. L. Paul

Topological Symmetries of Twisted N=2 Chiral Supergravity in Ashtekar Formalism

15 pages, Latex

null

hep-th

null

In this paper a topological theory of gravity is studied on a four-manifold using the formalism of Capovilla {\sl et al}. We show that it is fact equivalent to Anselmi and Fre's topological gravity using the topological symmetries. Using this formalism gives us a new way to study topological gravity and the intersection theory of gravitational instantons if the (3+1) decomposition with respect to local coordinates is performed.

[ { "created": "Thu, 27 Apr 1995 02:02:50 GMT", "version": "v1" } ]

2007-05-23

[ [ "Paul", "P. L.", "" ] ]

In this paper a topological theory of gravity is studied on a four-manifold using the formalism of Capovilla {\sl et al}. We show that it is fact equivalent to Anselmi and Fre's topological gravity using the topological symmetries. Using this formalism gives us a new way to study topological gravity and the intersection theory of gravitational instantons if the (3+1) decomposition with respect to local coordinates is performed.

14.88343

14.03603

14.856308

14.867023

14.55508

14.404306

14.146284

13.39571

14.367195

14.605163

13.100981

12.781538

12.858085

13.045093

12.83758

12.949922

13.577379

12.926996

13.31864

13.009509

13.47374

1311.7461

Till Bargheer

Till Bargheer, Joseph A. Minahan, Raul Pereira

Computing Three-Point Functions for Short Operators

35 pages; v2: references added/updated, typos fixed

J. High Energ. Phys. (2014) 2014: 96

10.1007/JHEP03(2014)096

DESY 13-201, UUITP-17/13

hep-th

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

We compute the three-point structure constants for short primary operators of N=4 super Yang-Mills theory to leading order in the inverse coupling by mapping the problem to a flat-space string theory calculation. We check the validity of our procedure by comparing to known results for three chiral primaries. We then compute the three-point functions for any combination of chiral and non-chiral primaries, with the non-chiral primaries all dual to string states at the first massive level. Along the way we find many cancellations that leave us with simple expressions, suggesting that integrability is playing an important role.

[ { "created": "Fri, 29 Nov 2013 03:05:39 GMT", "version": "v1" }, { "created": "Mon, 14 Apr 2014 17:26:05 GMT", "version": "v2" } ]

2018-01-18

[ [ "Bargheer", "Till", "" ], [ "Minahan", "Joseph A.", "" ], [ "Pereira", "Raul", "" ] ]

We compute the three-point structure constants for short primary operators of N=4 super Yang-Mills theory to leading order in the inverse coupling by mapping the problem to a flat-space string theory calculation. We check the validity of our procedure by comparing to known results for three chiral primaries. We then compute the three-point functions for any combination of chiral and non-chiral primaries, with the non-chiral primaries all dual to string states at the first massive level. Along the way we find many cancellations that leave us with simple expressions, suggesting that integrability is playing an important role.

6.936491

6.970281

8.401734

6.32973

7.054777

6.929197

7.545098

6.647446

6.741178

8.780612

6.582105

6.208208

7.459146

6.355485

6.204711

6.362932

6.206594

6.161695

6.417347

7.351127

6.297091

1407.3546

Lev Spodyneiko

Minimal Liouville Gravity on the Torus via Matrix Models

null

hep-th

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

In this paper we use recent results on resonance relations between the matrix models and the minimal Liouville gravity to compute the torus correlation numbers in (3,p) minimal Liouville gravity. Namely, we calculate the torus generating partition function of the (3,p) matrix models and use it to obtain the one- and two-point correlation numbers in the minimal Liouville gravity.

[ { "created": "Mon, 14 Jul 2014 06:39:52 GMT", "version": "v1" } ]

2014-07-15

[ [ "Spodyneiko", "Lev", "" ] ]

In this paper we use recent results on resonance relations between the matrix models and the minimal Liouville gravity to compute the torus correlation numbers in (3,p) minimal Liouville gravity. Namely, we calculate the torus generating partition function of the (3,p) matrix models and use it to obtain the one- and two-point correlation numbers in the minimal Liouville gravity.

7.943429

6.539031

10.261221

7.40119

7.064836

6.706041

6.941534

7.066841

6.215784

11.890341

7.094738

7.553909

8.3624

7.281697

7.17149

7.26287

7.041984

7.320549

7.084287

8.070261

7.206204

1609.05022

Suresh Nampuri Dr.

G.L.Cardoso, S.Nagy and Suresh Nampuri

A double copy for ${\cal N}=2$ supergravity: a linearised tale told on-shell

27 pages

null

10.1007/JHEP10(2016)127

null

hep-th

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

We construct the on-shell double copy for linearised four-dimensional ${\cal N}=2$ supergravity coupled to one vector multiplet with a quadratic prepotential. We apply this dictionary to the weak-field approximation of dyonic BPS black holes in this theory.

[ { "created": "Fri, 16 Sep 2016 12:27:24 GMT", "version": "v1" }, { "created": "Tue, 20 Dec 2016 10:13:19 GMT", "version": "v2" } ]

2016-12-21

[ [ "Cardoso", "G. L.", "" ], [ "Nagy", "S.", "" ], [ "Nampuri", "Suresh", "" ] ]

We construct the on-shell double copy for linearised four-dimensional ${\cal N}=2$ supergravity coupled to one vector multiplet with a quadratic prepotential. We apply this dictionary to the weak-field approximation of dyonic BPS black holes in this theory.

10.749973

6.838843

12.865865

8.25402

7.803818

8.348955

8.886791

7.942361

7.222685

13.139373

7.787466

9.236274

9.990913

8.334558

8.12281

9.07562

8.764769

8.040092

8.37147

10.634722

8.493696

2211.07826

Carter Gustin

Carter M. Gustin and Gary Goldstein

Generalized Parton Distribution Functions via Quantum Simulation of Quantum Field Theory in Light-front Coordinates

6 pages

null

hep-th

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

Quantum simulation of quantum field theories offers a new way to investigate properties of the fundamental constituents of matter. We develop quantum simulation algorithms based on the light-front formulation of relativistic field theories. The process of quantizing the system in light-cone coordinates will be explained for a Hamiltonian formulation, which becomes block diagonal, each block approximating the Fock space with a certain harmonic resolution K. We analyze a QCD theory in 2+1D. We compute the analogue of parton distribution functions, the generalized parton distribution functions for mesonic composite particles, like hadrons, in these theories. The dependence of such analyses on the scaling of the number of qubits is compared with other schemes and conventional computations. There is a notable advantage to the light-front formulation.

[ { "created": "Tue, 15 Nov 2022 01:08:17 GMT", "version": "v1" }, { "created": "Wed, 6 Dec 2023 16:01:09 GMT", "version": "v2" } ]

2023-12-07

[ [ "Gustin", "Carter M.", "" ], [ "Goldstein", "Gary", "" ] ]

Quantum simulation of quantum field theories offers a new way to investigate properties of the fundamental constituents of matter. We develop quantum simulation algorithms based on the light-front formulation of relativistic field theories. The process of quantizing the system in light-cone coordinates will be explained for a Hamiltonian formulation, which becomes block diagonal, each block approximating the Fock space with a certain harmonic resolution K. We analyze a QCD theory in 2+1D. We compute the analogue of parton distribution functions, the generalized parton distribution functions for mesonic composite particles, like hadrons, in these theories. The dependence of such analyses on the scaling of the number of qubits is compared with other schemes and conventional computations. There is a notable advantage to the light-front formulation.

15.743015

16.368441

15.300226

14.856068

16.847368

17.921705

15.391963

17.277092

16.250715

15.616935

14.597761

15.320952

15.212405

15.219359

15.31274

15.593056

15.923137

15.468056

14.888298

14.829513

15.466384

hep-th/0505232

Matthew Kleban

Ben Freivogel, Matthew Kleban, Maria Rodriguez Martinez, Leonard Susskind

Observational Consequences of a Landscape

21 pages, 4 figures v2: references added

JHEP 0603:039,2006

10.1088/1126-6708/2006/03/039

SU-ITP 05-19

hep-th astro-ph hep-ph

null

In this paper we consider the implications of the "landscape" paradigm for the large scale properties of the universe. The most direct implication of a rich landscape is that our local universe was born in a tunnelling event from a neighboring vacuum. This would imply that we live in an open FRW universe with negative spatial curvature. We argue that the "overshoot" problem, which in other settings would make it difficult to achieve slow roll inflation, actually favors such a cosmology. We consider anthropic bounds on the value of the curvature and on the parameters of inflation. When supplemented by statistical arguments these bounds suggest that the number of inflationary efolds is not very much larger than the observed lower bound. Although not statistically favored, the likelihood that the number of efolds is close to the bound set by observations is not negligible. The possible signatures of such a low number of efolds are briefly described.

[ { "created": "Wed, 25 May 2005 19:18:08 GMT", "version": "v1" }, { "created": "Thu, 26 May 2005 19:43:25 GMT", "version": "v2" } ]

2009-11-11

[ [ "Freivogel", "Ben", "" ], [ "Kleban", "Matthew", "" ], [ "Martinez", "Maria Rodriguez", "" ], [ "Susskind", "Leonard", "" ] ]

In this paper we consider the implications of the "landscape" paradigm for the large scale properties of the universe. The most direct implication of a rich landscape is that our local universe was born in a tunnelling event from a neighboring vacuum. This would imply that we live in an open FRW universe with negative spatial curvature. We argue that the "overshoot" problem, which in other settings would make it difficult to achieve slow roll inflation, actually favors such a cosmology. We consider anthropic bounds on the value of the curvature and on the parameters of inflation. When supplemented by statistical arguments these bounds suggest that the number of inflationary efolds is not very much larger than the observed lower bound. Although not statistically favored, the likelihood that the number of efolds is close to the bound set by observations is not negligible. The possible signatures of such a low number of efolds are briefly described.

9.585712

9.979743

9.890146

8.831515

9.877604

8.613896

9.492309

9.617186

9.433735

9.802946

9.544936

9.13017

8.971913

9.029708

9.125966

9.409768

8.861594

8.800201

8.822776

9.219049

8.966659

2101.02789

Stanislaw D. Glazek

Stanis{\l}aw D. G{\l}azek

Elementary example of exact effective-Hamiltonian computation

33 pages, 1 figure, plain latex

Phys. Rev. D 103, 014021 (2021)

10.1103/PhysRevD.103.014021

null

hep-th

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

We present an exact computation of effective Hamiltonians for an elementary model obtained from the Yukawa theory by going to the limit of bare fermions being infinitely heavy and bare bosons being at rest with respect to the fermions that emit or absorb them. The coupling constant can be arbitrarily large. The Hamiltonians are computed by solving the differential equation of the renormalization group procedure for effective particles (RGPEP). Physical fermions, defined in the model as eigenstates of the effective Hamiltonians, are obtained in the form of an effective fermion dressed with a coherent state of effective bosons. The model computation illustrates the method that can be used in perturbative computations of effective Hamiltonians for realistic theories. It shows the mechanism by which the perturbative expansion and Tamm-Dancoff approximation increase in accuracy along the RGPEP evolution.

[ { "created": "Thu, 7 Jan 2021 22:20:56 GMT", "version": "v1" } ]

2021-01-27

[ [ "Głazek", "Stanisław D.", "" ] ]

We present an exact computation of effective Hamiltonians for an elementary model obtained from the Yukawa theory by going to the limit of bare fermions being infinitely heavy and bare bosons being at rest with respect to the fermions that emit or absorb them. The coupling constant can be arbitrarily large. The Hamiltonians are computed by solving the differential equation of the renormalization group procedure for effective particles (RGPEP). Physical fermions, defined in the model as eigenstates of the effective Hamiltonians, are obtained in the form of an effective fermion dressed with a coherent state of effective bosons. The model computation illustrates the method that can be used in perturbative computations of effective Hamiltonians for realistic theories. It shows the mechanism by which the perturbative expansion and Tamm-Dancoff approximation increase in accuracy along the RGPEP evolution.

10.71886

11.382406

11.084046

10.840627

11.486554

11.314949

11.236176

10.92264

10.413596

11.555871

10.639997

10.647246

10.821832

10.858532

11.146251

10.837386

10.805051

10.803503

11.025696

10.956795

10.809699

hep-th/0602183

Donald Coyne

D. G. Coyne (SCIPP, University of California at Santa Cruz)

A Scenario for Strong Gravity without Extra Dimensions

49 pages, 13 figures, pdf. For a high resolution file contact me at coyne@scipp.ucsc.edu

null

hep-th gr-qc

null

A different reason for the apparent weakness of the gravitational interaction is advanced, and its consequences for Hawking evaporation of a Schwarzschild black hole are investigated. A simple analytical formulation predicts that evaporating black holes will undergo a type of phase transition resulting in variously long-lived objects of reasonable sizes, with normal thermodynamic properties and inherent duality characteristics. Speculations on the implications for particle physics and for some recently-advanced new paradigms are explored.

[ { "created": "Sun, 19 Feb 2006 03:37:55 GMT", "version": "v1" } ]

2007-05-23

[ [ "Coyne", "D. G.", "", "SCIPP, University of California at Santa Cruz" ] ]

A different reason for the apparent weakness of the gravitational interaction is advanced, and its consequences for Hawking evaporation of a Schwarzschild black hole are investigated. A simple analytical formulation predicts that evaporating black holes will undergo a type of phase transition resulting in variously long-lived objects of reasonable sizes, with normal thermodynamic properties and inherent duality characteristics. Speculations on the implications for particle physics and for some recently-advanced new paradigms are explored.

23.142704

14.738323

21.326529

18.110083

16.282066

14.986871

17.287569

17.07246

17.244062

22.337023

18.133074

20.366064

19.848122

19.351376

19.433439

19.602329

19.441706

19.655577

19.410208

20.763512

20.384972

hep-th/9910094

Ralph Blumenhagen

Ralph Blumenhagen, Costas Kounnas and Dieter Lust

Continuous Gauge and Supersymmetry Breaking for Open Strings on D-branes

24 pages, TeX, harvmac

JHEP 0001:036,2000

10.1088/1126-6708/2000/01/036

HUB-EP-99/56, LPTENS-99/35

hep-th

null

We consider freely acting orbifold compactifications, which interpolate in two possible decompactification limits between the supersymmetric type II string and the non-supersymmetric type 0 string. In particular we discuss how D-branes are incorporated into these orbifold models. Investigating the open string spectrum on D3-branes, we will show that one can interpolate in this way between N=4 supersymmetric U(N) respectively U(2N) Yang-Mills theories and non-supersymmetric U(N)*U(N) gauge theories with adjoint massless scalar fields plus bifundamental massless fermions in a smooth way. Finally, by lifting the orbifold construction to M-theory, we conjecture some duality relations and show that in particular a new supersymmetric branch of gauge like theories emanate for the non-supersymmetric model.

[ { "created": "Tue, 12 Oct 1999 13:19:58 GMT", "version": "v1" } ]

2009-10-31

[ [ "Blumenhagen", "Ralph", "" ], [ "Kounnas", "Costas", "" ], [ "Lust", "Dieter", "" ] ]

We consider freely acting orbifold compactifications, which interpolate in two possible decompactification limits between the supersymmetric type II string and the non-supersymmetric type 0 string. In particular we discuss how D-branes are incorporated into these orbifold models. Investigating the open string spectrum on D3-branes, we will show that one can interpolate in this way between N=4 supersymmetric U(N) respectively U(2N) Yang-Mills theories and non-supersymmetric U(N)*U(N) gauge theories with adjoint massless scalar fields plus bifundamental massless fermions in a smooth way. Finally, by lifting the orbifold construction to M-theory, we conjecture some duality relations and show that in particular a new supersymmetric branch of gauge like theories emanate for the non-supersymmetric model.

11.725574

11.228371

12.961966

10.052748

11.358696

11.485291

11.432182

10.862405

10.480635

13.447667

10.724365

10.442232

11.534423

10.766894

10.7987

10.786237

10.941815

10.322412

10.608838

11.177334

10.181862

1803.04412

Zhong-Zhi Xianyu

Xingang Chen, Wan Zhen Chua, Yuxun Guo, Yi Wang, Zhong-Zhi Xianyu, Tianyou Xie

Quantum Standard Clocks in the Primordial Trispectrum

23 pages, JCAP accepted version

JCAP 1805 (2018) 049

10.1088/1475-7516/2018/05/049

null

hep-th astro-ph.CO hep-ph

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

We calculate the primordial trispectrum of curvature perturbation in quasi-single field inflation, with general sound speeds for both the inflaton and the massive scalar. Special attention is paid to various soft limits of the trispectrum, where the shape function shows characteristic oscillatory pattern (known as the quantum primordial standard clock signal) as a function of the momentum ratio. Our calculation is greatly simplified by using the "mixed propagator" developed under a diagrammatic representation of the in-in formalism.

[ { "created": "Mon, 12 Mar 2018 18:00:00 GMT", "version": "v1" }, { "created": "Mon, 21 May 2018 00:21:40 GMT", "version": "v2" } ]

2018-05-22

[ [ "Chen", "Xingang", "" ], [ "Chua", "Wan Zhen", "" ], [ "Guo", "Yuxun", "" ], [ "Wang", "Yi", "" ], [ "Xianyu", "Zhong-Zhi", "" ], [ "Xie", "Tianyou", "" ] ]

We calculate the primordial trispectrum of curvature perturbation in quasi-single field inflation, with general sound speeds for both the inflaton and the massive scalar. Special attention is paid to various soft limits of the trispectrum, where the shape function shows characteristic oscillatory pattern (known as the quantum primordial standard clock signal) as a function of the momentum ratio. Our calculation is greatly simplified by using the "mixed propagator" developed under a diagrammatic representation of the in-in formalism.

11.381801

11.451344

12.245106

9.839602

9.385893

10.60989

9.685083

11.315387

9.908355

11.806972

9.238085

10.116509

10.39536

9.982221

10.045654

9.99509

9.927966

9.997654

10.263513

10.24591

9.700583

1107.2137

Susha Parameswaran

Tatsuo Kobayashi, Susha L. Parameswaran, Saul Ramos-Sanchez and Ivonne Zavala

Revisiting Coupling Selection Rules in Heterotic Orbifold Models

27 pages, v2: several clarifications, matches JHEP version. v3: supercedes journal version, erratum to appear in JHEP; correction to "rule 5" equations, main ideas unchanged

null

10.1007/JHEP05(2012)008

KUNS-2341, UUITP-18/11

hep-th hep-ph

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

We study L-point couplings between twisted sector fields in heterotic orbifold compactifications, using conformal field theory. Selection rules provide an easy way to identify which couplings are non-vanishing. Those used in the current literature are gauge invariance, R-charge conservation and the space group selection rule, but they are not the whole story. We revive and refine a fourth selection rule, due to symmetries in the underlying torus lattice, and introduce a fifth one, due to the existence or not of classical worldsheet instanton solutions to mediate the couplings. We consider briefly the phenomenological consequences of the additional rules, in particular for recent orbifold constructions whose field content correspond to that of the MSSM. The structure of the exotic mass matrices is unaltered and many dimension-5 proton-decay operators vanish.

[ { "created": "Mon, 11 Jul 2011 20:37:10 GMT", "version": "v1" }, { "created": "Tue, 3 Apr 2012 13:47:30 GMT", "version": "v2" }, { "created": "Tue, 27 Nov 2012 08:31:52 GMT", "version": "v3" } ]

2015-05-28

[ [ "Kobayashi", "Tatsuo", "" ], [ "Parameswaran", "Susha L.", "" ], [ "Ramos-Sanchez", "Saul", "" ], [ "Zavala", "Ivonne", "" ] ]

We study L-point couplings between twisted sector fields in heterotic orbifold compactifications, using conformal field theory. Selection rules provide an easy way to identify which couplings are non-vanishing. Those used in the current literature are gauge invariance, R-charge conservation and the space group selection rule, but they are not the whole story. We revive and refine a fourth selection rule, due to symmetries in the underlying torus lattice, and introduce a fifth one, due to the existence or not of classical worldsheet instanton solutions to mediate the couplings. We consider briefly the phenomenological consequences of the additional rules, in particular for recent orbifold constructions whose field content correspond to that of the MSSM. The structure of the exotic mass matrices is unaltered and many dimension-5 proton-decay operators vanish.

13.686452

15.68399

14.354182

13.489438

15.638612

13.778982

14.874053

14.839875

13.193833

14.61363

14.398494

13.897771

13.774496

13.257533

13.241135

13.683908

13.507805

13.36671

12.972041

13.816379

13.266883

1204.1191

Mir Faizal

Deformation of the ABJM Theory

10 pages, 0 figures, accepted for publication in EPL

Europhys. Lett. 98: 31003, 2012

10.1209/0295-5075/98/31003

null

hep-th

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

In this paper we analyse the ABJM theory on deformed spacetime. We show that this theory reduces to a deformed super-Yang-Mills theory when one of the scalar superfields is given a non-vanishing vacuum expectation value. Our analyse is done in N=1 superspace formulism.

[ { "created": "Thu, 5 Apr 2012 12:04:59 GMT", "version": "v1" } ]

2015-06-04

[ [ "Faizal", "Mir", "" ] ]

In this paper we analyse the ABJM theory on deformed spacetime. We show that this theory reduces to a deformed super-Yang-Mills theory when one of the scalar superfields is given a non-vanishing vacuum expectation value. Our analyse is done in N=1 superspace formulism.

10.71335

8.812516

10.756129

9.454427

9.532637

9.133511

9.494174

8.51397

8.95155

11.285387

8.728083

8.877302

9.078747

9.124085

8.891083

9.126744

8.519933

8.662799

9.039432

9.4805

8.932117

1704.02929

Andrei Belitsky

A.V. Belitsky

Vacuum expectation value of twist fields

11 pages, 1 figure

Phys. Rev. D 96, 066026 (2017)

10.1103/PhysRevD.96.066026

null

hep-th

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

Twist fields emerge in a number of physical applications ranging from entanglement entropy to scattering amplitudes in four-dimensional gauge theories. In this work, their vacuum expectation values are studied in the path integral framework. By performing a gauge transformation, their correlation functions are reduced to field theory of matter fields in external Aharonov-Bohm vortices. The resulting functional determinants are then analyzed within the zeta function regularization for the spectrum of Bessel zeros and concise formulas are derived.

[ { "created": "Mon, 10 Apr 2017 16:14:58 GMT", "version": "v1" }, { "created": "Tue, 9 May 2017 18:56:02 GMT", "version": "v2" } ]

2017-09-27

[ [ "Belitsky", "A. V.", "" ] ]

Twist fields emerge in a number of physical applications ranging from entanglement entropy to scattering amplitudes in four-dimensional gauge theories. In this work, their vacuum expectation values are studied in the path integral framework. By performing a gauge transformation, their correlation functions are reduced to field theory of matter fields in external Aharonov-Bohm vortices. The resulting functional determinants are then analyzed within the zeta function regularization for the spectrum of Bessel zeros and concise formulas are derived.

12.695471

10.434415

12.8779

10.952381

11.302388

11.624474

11.212224

11.014153

10.741652

13.118479

10.931265

10.856614

12.06448

10.48955

10.893974

10.771883

10.84866

10.840275

10.329902

12.0289

10.177188

1211.7295

Pietro Galli

Pietro Galli, Kevin Goldstein, Jan Perz

On anharmonic stabilisation equations for black holes

7 pages

JHEP 1303:036,2013

10.1007/JHEP03(2013)036

DFPD-2012-TH-18, IFIC/12-73, WITS-CTP-107

hep-th

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

We investigate the stabilisation equations for sufficiently general, yet regular, extremal (supersymmetric and non-supersymmetric) and non-extremal black holes in four-dimensional N=2 supergravity using both the H-FGK approach and a generalisation of Denef's formalism. By an explicit calculation we demonstrate that the equations necessarily contain an anharmonic part, even in the static, spherically symmetric and asymptotically flat case.

[ { "created": "Fri, 30 Nov 2012 15:54:09 GMT", "version": "v1" } ]

2013-04-10

[ [ "Galli", "Pietro", "" ], [ "Goldstein", "Kevin", "" ], [ "Perz", "Jan", "" ] ]

We investigate the stabilisation equations for sufficiently general, yet regular, extremal (supersymmetric and non-supersymmetric) and non-extremal black holes in four-dimensional N=2 supergravity using both the H-FGK approach and a generalisation of Denef's formalism. By an explicit calculation we demonstrate that the equations necessarily contain an anharmonic part, even in the static, spherically symmetric and asymptotically flat case.

12.1014

10.061455

11.726477

10.80092

10.042723

10.568141

10.389359

9.290499

9.27824

11.799081

10.081181

10.601043

11.453296

10.218643

10.221516

10.074117

9.916135

10.41023

10.32536

10.80467

10.094951

hep-th/9304051

Paul Fendley

P. Fendley, H. Saleur and Al.B. Zamolodchikov

Massless Flows II: the exact S-matrix approach

34 pages, BUHEP-93-6, USC-93-004, LPM-93-08

Int.J.Mod.Phys. A8 (1993) 5751-5778

10.1142/S0217751X93002277

null

hep-th

null

We study the spectrum, the massless S-matrices and the ground-state energy of the flows between successive minimal models of conformal field theory, and within the sine-Gordon model with imaginary coefficient of the cosine term (related to the minimal models by ``truncation''). For the minimal models, we find exact S-matrices which describe the scattering of massless kinks, and show using the thermodynamic Bethe ansatz that the resulting non-perturbative c-function (defined by the Casimir energy on a cylinder) flows appropriately between the two theories, as conjectured earlier. For the non-unitary sine-Gordon model, we find unusual behavior. For the range of couplings we can study analytically, the natural S-matrix deduced from the minimal one by ``undoing'' the quantum-group truncation does not reproduce the proper c-function with the TBA. It does, however, describe the correct properties of the model in a magnetic field.

[ { "created": "Tue, 13 Apr 1993 17:09:41 GMT", "version": "v1" } ]

2015-06-26

[ [ "Fendley", "P.", "" ], [ "Saleur", "H.", "" ], [ "Zamolodchikov", "Al. B.", "" ] ]

We study the spectrum, the massless S-matrices and the ground-state energy of the flows between successive minimal models of conformal field theory, and within the sine-Gordon model with imaginary coefficient of the cosine term (related to the minimal models by ``truncation''). For the minimal models, we find exact S-matrices which describe the scattering of massless kinks, and show using the thermodynamic Bethe ansatz that the resulting non-perturbative c-function (defined by the Casimir energy on a cylinder) flows appropriately between the two theories, as conjectured earlier. For the non-unitary sine-Gordon model, we find unusual behavior. For the range of couplings we can study analytically, the natural S-matrix deduced from the minimal one by ``undoing'' the quantum-group truncation does not reproduce the proper c-function with the TBA. It does, however, describe the correct properties of the model in a magnetic field.

11.219281

9.948511

13.484965

9.999674

11.014702

10.74034

10.54539

10.497228

10.235545

13.256126

10.225891

10.689717

11.971847

11.071711

10.163725

10.89725

11.145986

10.671136

10.80689

11.386394

10.72243

hep-th/0407013

Angel Paredes

Supersymmetric solutions of supergravity from wrapped branes

Ph. D. thesis, 181 pages, 10 figures, LaTex; references added

null

hep-th

null

We consider several solutions of supergravity with reduced supersymmetry which are related to wrapped branes, and elaborate on their geometrical and physical interpretation. The Killing spinors are computed for each configuration. In particular, all the known metrics on the conifold and all G_2 holonomy metrics with cohomogeneity one and S^3xS^3 principal orbits are constructed from D=8 gauged supergravity in a unified formalism. The addition of 4-form fluxes piercing the unwrapped directions is also considered. We also study the problem of finding kappa-symmetric D5-probes in the so-called Maldacena-Nunez model. Some of these solutions are related to the addition of flavor to the dual gauge theory. We match our results with some known features of N=1 SQCD with a small number of flavors and compute its meson mass spectrum. Moreover, the gravity solution dual to three dimensional N=1 gauge theory, solutions related to branes wrapping hyperbolic spaces, Spin(7) holonomy metrics and SO(4) twistings in D=7 gauged sugra are studied in the last chapter.

[ { "created": "Fri, 2 Jul 2004 12:08:42 GMT", "version": "v1" }, { "created": "Tue, 31 Aug 2004 17:20:51 GMT", "version": "v2" } ]

2007-05-23

[ [ "Paredes", "Angel", "" ] ]

We consider several solutions of supergravity with reduced supersymmetry which are related to wrapped branes, and elaborate on their geometrical and physical interpretation. The Killing spinors are computed for each configuration. In particular, all the known metrics on the conifold and all G_2 holonomy metrics with cohomogeneity one and S^3xS^3 principal orbits are constructed from D=8 gauged supergravity in a unified formalism. The addition of 4-form fluxes piercing the unwrapped directions is also considered. We also study the problem of finding kappa-symmetric D5-probes in the so-called Maldacena-Nunez model. Some of these solutions are related to the addition of flavor to the dual gauge theory. We match our results with some known features of N=1 SQCD with a small number of flavors and compute its meson mass spectrum. Moreover, the gravity solution dual to three dimensional N=1 gauge theory, solutions related to branes wrapping hyperbolic spaces, Spin(7) holonomy metrics and SO(4) twistings in D=7 gauged sugra are studied in the last chapter.

11.114336

10.287279

13.061068

10.112679

11.024286

10.075311

9.670227

10.117481

10.062515

13.547876

9.86377

10.403687

11.662986

10.19241

10.470654

10.576641

10.510102

10.386453

10.145567

11.580327

10.222549

1009.1097

Michele Arzano

Anatomy of a deformed symmetry: field quantization on curved momentum space

RevTeX, 15 pages, no figures. v2 typos corrected and minor cosmetic modifications, v3 to appear on Phys. Rev. D

Phys.Rev.D83:025025,2011

10.1103/PhysRevD.83.025025

null

hep-th gr-qc

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

In certain scenarios of deformed relativistic symmetries relevant for non-commutative field theories particles exhibit a momentum space described by a non-abelian group manifold. Starting with a formulation of phase space for such particles which allows for a generalization to include group valued momenta we discuss quantization of the corresponding field theory. Focusing on the particular case of kappa-deformed phase space we construct the one-particle Hilbert space and show how curvature in momentum space leads to an ambiguity in the quantization procedure reminiscent of the ambiguities one finds when quantizing fields in curved space-times. The tools gathered in the discussion on quantization allow for a clear definition of the basic deformed field mode operators and two-point function for kappa-quantum fields.

[ { "created": "Mon, 6 Sep 2010 17:19:09 GMT", "version": "v1" }, { "created": "Fri, 24 Sep 2010 17:54:28 GMT", "version": "v2" }, { "created": "Thu, 13 Jan 2011 14:46:15 GMT", "version": "v3" } ]

2011-02-28

[ [ "Arzano", "Michele", "" ] ]

In certain scenarios of deformed relativistic symmetries relevant for non-commutative field theories particles exhibit a momentum space described by a non-abelian group manifold. Starting with a formulation of phase space for such particles which allows for a generalization to include group valued momenta we discuss quantization of the corresponding field theory. Focusing on the particular case of kappa-deformed phase space we construct the one-particle Hilbert space and show how curvature in momentum space leads to an ambiguity in the quantization procedure reminiscent of the ambiguities one finds when quantizing fields in curved space-times. The tools gathered in the discussion on quantization allow for a clear definition of the basic deformed field mode operators and two-point function for kappa-quantum fields.

12.992098

12.597823

11.814936

11.375703

12.69597

10.854696

12.397649

11.272415

11.405149

13.328471

11.769909

11.72163

12.080717

11.077149

11.640831

11.584237

11.301329

11.017636

11.215729

11.681499

11.086632

hep-th/0508238

Yoon Pyo Hong

Yoon Pyo Hong and Indrajit Mitra (UC Berkeley)

Investigating the Stability of a Nonsupersymmetric Landscape

25 pages; (v2) typos corrected and reference added; (v3) typos corrected, version to appear in Phys. Rev. D

Phys.Rev.D72:126003,2005

10.1103/PhysRevD.72.126003

UCB-PTH-05/21, LBNL-58216

hep-th

null

We investigate the classical stability of non-supersymmetric Freund-Rubin compactifications of Type IIB string theory on a product of three-dimensional Einstein spaces A_3 x B_3 with both NS-NS and R-R three-form fluxes turned on through A_3 and B_3, and a zero axion. This results in a three parameter family of AdS_4 vacua, with localized sources such as anti-three-branes or orientifold planes required to cancel the R-R four-form tadpole. We scan the entire space of such solutions for perturbative stability and find that anti-three-branes are unstable to a Jeans-like instability. For orientifold compactifications, we derive a precise criterion which the three dimensional Einstein spaces have to satisfy in order to be stable.

[ { "created": "Wed, 31 Aug 2005 06:06:46 GMT", "version": "v1" }, { "created": "Sat, 10 Sep 2005 23:52:41 GMT", "version": "v2" }, { "created": "Thu, 19 Jan 2006 23:25:17 GMT", "version": "v3" } ]

2014-11-18

[ [ "Hong", "Yoon Pyo", "", "UC Berkeley" ], [ "Mitra", "Indrajit", "", "UC Berkeley" ] ]

We investigate the classical stability of non-supersymmetric Freund-Rubin compactifications of Type IIB string theory on a product of three-dimensional Einstein spaces A_3 x B_3 with both NS-NS and R-R three-form fluxes turned on through A_3 and B_3, and a zero axion. This results in a three parameter family of AdS_4 vacua, with localized sources such as anti-three-branes or orientifold planes required to cancel the R-R four-form tadpole. We scan the entire space of such solutions for perturbative stability and find that anti-three-branes are unstable to a Jeans-like instability. For orientifold compactifications, we derive a precise criterion which the three dimensional Einstein spaces have to satisfy in order to be stable.

8.280219

7.522045

8.506321

7.784848

7.678773

8.537081

7.900694

7.797162

7.163184

9.388471

7.82977

7.982366

8.060437

7.959674

7.858631

7.738555

7.985049

7.645141

8.033345

8.602246

7.639686

1406.4024

Matteo Rosso

Johannes Broedel, Marius de Leeuw and Matteo Rosso

Deformed one-loop amplitudes in N = 4 super-Yang-Mills theory

19 pages

null

10.1007/JHEP11(2014)091

null

hep-th

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

We investigate Yangian-invariant deformations of one-loop amplitudes in N = 4 super-Yang-Mills theory employing an algebraic representation of amplitudes. In this language, we reproduce the deformed massless box integral describing the deformed four-point one-loop amplitude and compare different realizations of said amplitude.

[ { "created": "Mon, 16 Jun 2014 14:10:32 GMT", "version": "v1" } ]

2015-06-22

[ [ "Broedel", "Johannes", "" ], [ "de Leeuw", "Marius", "" ], [ "Rosso", "Matteo", "" ] ]

We investigate Yangian-invariant deformations of one-loop amplitudes in N = 4 super-Yang-Mills theory employing an algebraic representation of amplitudes. In this language, we reproduce the deformed massless box integral describing the deformed four-point one-loop amplitude and compare different realizations of said amplitude.

11.313468

10.313431

13.67968

9.941007

9.063815

10.353182

9.538848

9.564427

10.811361

14.2048

10.201713

11.072713

11.371755

10.501438

10.872054

10.831666

11.241576

10.787782

10.758216

11.63774

10.009974

1110.1607

Erik Tonni

Andrea Allais, Erik Tonni

Holographic evolution of the mutual information

32 pages, 16 figures

JHEP 1201:102,2012

10.1007/JHEP01(2012)102

null

hep-th gr-qc

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

We compute the time evolution of the mutual information in out of equilibrium quantum systems whose gravity duals are Vaidya spacetimes in three and four dimensions, which describe the formation of a black hole through the collapse of null dust. We find the holographic mutual information to be non monotonic in time and always monogamous in the ranges explored. We also find that there is a region in the configuration space where it vanishes at all times. We show that the null energy condition is a necessary condition for both the strong subadditivity of the holographic entanglement entropy and the monogamy of the holographic mutual information.

[ { "created": "Fri, 7 Oct 2011 18:44:37 GMT", "version": "v1" } ]

2015-05-30

[ [ "Allais", "Andrea", "" ], [ "Tonni", "Erik", "" ] ]

We compute the time evolution of the mutual information in out of equilibrium quantum systems whose gravity duals are Vaidya spacetimes in three and four dimensions, which describe the formation of a black hole through the collapse of null dust. We find the holographic mutual information to be non monotonic in time and always monogamous in the ranges explored. We also find that there is a region in the configuration space where it vanishes at all times. We show that the null energy condition is a necessary condition for both the strong subadditivity of the holographic entanglement entropy and the monogamy of the holographic mutual information.

6.689795

6.670002

7.072363

5.884984

5.975429

6.438398

5.738423

6.064338

5.887607

8.085742

6.086493

6.468918

6.282324

6.442907

6.52054

6.268435

6.46323

6.103332

6.392325

6.521419

6.557154

2212.12133

Ranveer Kumar Singh

Nabamita Banerjee, Tabasum Rahnuma, Ranveer Kumar Singh

Asymptotic Symmetry algebra of $\mathcal{N}=8$ Supergravity

39 pages

null

hep-th

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

The asymptotic symmetry algebra of $\mathcal{N}=1$ supergravity was recently constructed using the well-known $2$D celestial CFT (CCFT) technique in ArXiv: 2007.03785. In this paper, we extend the construction to the maximally supersymmetric four dimensional $\mathcal{N}=8$ supergravity theory in asymptotically flat spacetime and construct the extended asymptotic symmetry algebra, which we call $\mathcal{N}=8$ $\mathfrak{sbms}_4$. We use the celestial CFT technique to find the appropriate currents for extensions of $\mathcal{N}=8$ super-Poincar\'{e} and $\mathrm{SU}(8)_R$ R-symmetry current algebra on the celestial sphere $\mathcal{CS}^2$. We generalise the definition of shadow transformations and show that there is \textit{no} infinite dimensional extension of the global $\mathrm{SU}(8)_R$ algebra in the theory.

[ { "created": "Fri, 23 Dec 2022 04:04:26 GMT", "version": "v1" } ]

2022-12-26

[ [ "Banerjee", "Nabamita", "" ], [ "Rahnuma", "Tabasum", "" ], [ "Singh", "Ranveer Kumar", "" ] ]

The asymptotic symmetry algebra of $\mathcal{N}=1$ supergravity was recently constructed using the well-known $2$D celestial CFT (CCFT) technique in ArXiv: 2007.03785. In this paper, we extend the construction to the maximally supersymmetric four dimensional $\mathcal{N}=8$ supergravity theory in asymptotically flat spacetime and construct the extended asymptotic symmetry algebra, which we call $\mathcal{N}=8$ $\mathfrak{sbms}_4$. We use the celestial CFT technique to find the appropriate currents for extensions of $\mathcal{N}=8$ super-Poincar\'{e} and $\mathrm{SU}(8)_R$ R-symmetry current algebra on the celestial sphere $\mathcal{CS}^2$. We generalise the definition of shadow transformations and show that there is \textit{no} infinite dimensional extension of the global $\mathrm{SU}(8)_R$ algebra in the theory.

6.512547

6.309351

6.9239

5.92584

6.13718

6.286438

6.351285

6.287766

5.982319

7.677137

6.132699

6.176913

6.322731

6.042739

6.008619

6.319693

6.152347

6.256102

6.195103

6.367339

6.245592

hep-th/9806023

Kirill Kazakov

Kirill. A. Kazakov, Petr. I. Pronin

Gauge and parametrization dependence in higher derivative quantum gravity

22 pages, Latex, no figures

Phys.Rev.D59:064012,1999

10.1103/PhysRevD.59.064012

null

hep-th

null

The structure of counterterms in higher derivative quantum gravity is reexamined. Nontrivial dependence of charges on the gauge and parametrization is established. Explicit calculations of two-loop contributions are carried out with the help of the generalized renormgroup method demonstrating consistency of the results obtained.

[ { "created": "Wed, 3 Jun 1998 15:04:07 GMT", "version": "v1" } ]

2011-04-12

[ [ "Kazakov", "Kirill. A.", "" ], [ "Pronin", "Petr. I.", "" ] ]

The structure of counterterms in higher derivative quantum gravity is reexamined. Nontrivial dependence of charges on the gauge and parametrization is established. Explicit calculations of two-loop contributions are carried out with the help of the generalized renormgroup method demonstrating consistency of the results obtained.

17.036383

14.040016

15.145943

14.568184

15.31032

13.70975

13.134195

13.758489

13.459812

17.771952

14.71946

13.988297

16.369196

15.305645

14.710278

14.395482

14.68014

14.326034

15.350961

15.58035

14.978479

hep-th/9912156

Christof Schmidhuber

AdS_5 and the 4D Cosmological Constant

10 pages Latex, comments/corrections made

Nucl.Phys. B580 (2000) 140-146

10.1016/S0550-3213(00)00188-7

CERN-TH/99-406

hep-th

null

The hypothesis is discussed that our universe is really 5--dimensional with a nonzero cosmological constant that produces a large negative curvature. In this scenario, the observable flat 4--dimensional universe is identified with the holographic projection of the 5--dimensional world onto its own boundary.

[ { "created": "Fri, 17 Dec 1999 00:50:08 GMT", "version": "v1" }, { "created": "Fri, 28 Apr 2000 12:09:22 GMT", "version": "v2" }, { "created": "Sat, 29 Apr 2000 14:26:51 GMT", "version": "v3" } ]

2009-10-31

[ [ "Schmidhuber", "Christof", "" ] ]

The hypothesis is discussed that our universe is really 5--dimensional with a nonzero cosmological constant that produces a large negative curvature. In this scenario, the observable flat 4--dimensional universe is identified with the holographic projection of the 5--dimensional world onto its own boundary.

11.375193

9.579975

9.677773

8.891592

9.808882

9.187051

8.540215

8.698802

9.213919

9.314183

9.08023

9.631825

9.379548

9.413354

9.388934

9.432192

9.805454

9.571191

9.140137

9.736238

9.216692

hep-th/0504110

Brian Wecht

Sebastian Franco, Amihay Hanany, Kristian D. Kennaway, David Vegh, Brian Wecht

Brane Dimers and Quiver Gauge Theories

56 pages, 36 figures, JHEP. v2: added references, corrected figures 9, 10, some minor changes

JHEP 0601:096,2006

10.1088/1126-6708/2006/01/096

null

hep-th

null

We describe a technique which enables one to quickly compute an infinite number of toric geometries and their dual quiver gauge theories. The central object in this construction is a ``brane tiling,'' which is a collection of D5-branes ending on an NS5-brane wrapping a holomorphic curve that can be represented as a periodic tiling of the plane. This construction solves the longstanding problem of computing superpotentials for D-branes probing a singular non-compact toric Calabi-Yau manifold, and overcomes many difficulties which were encountered in previous work. The brane tilings give the largest class of N=1 quiver gauge theories yet studied. A central feature of this work is the relation of these tilings to dimer constructions previously studied in a variety of contexts. We do many examples of computations with dimers, which give new results as well as confirm previous computations. Using our methods we explicitly derive the moduli space of the entire Y^{p,q} family of quiver theories, verifying that they correspond to the appropriate geometries. Our results may be interpreted as a generalization of the McKay correspondence to non-compact 3-dimensional toric Calabi-Yau manifolds.

[ { "created": "Wed, 13 Apr 2005 19:43:17 GMT", "version": "v1" }, { "created": "Thu, 30 Jun 2005 23:43:34 GMT", "version": "v2" } ]

2009-11-11

[ [ "Franco", "Sebastian", "" ], [ "Hanany", "Amihay", "" ], [ "Kennaway", "Kristian D.", "" ], [ "Vegh", "David", "" ], [ "Wecht", "Brian", "" ] ]

We describe a technique which enables one to quickly compute an infinite number of toric geometries and their dual quiver gauge theories. The central object in this construction is a ``brane tiling,'' which is a collection of D5-branes ending on an NS5-brane wrapping a holomorphic curve that can be represented as a periodic tiling of the plane. This construction solves the longstanding problem of computing superpotentials for D-branes probing a singular non-compact toric Calabi-Yau manifold, and overcomes many difficulties which were encountered in previous work. The brane tilings give the largest class of N=1 quiver gauge theories yet studied. A central feature of this work is the relation of these tilings to dimer constructions previously studied in a variety of contexts. We do many examples of computations with dimers, which give new results as well as confirm previous computations. Using our methods we explicitly derive the moduli space of the entire Y^{p,q} family of quiver theories, verifying that they correspond to the appropriate geometries. Our results may be interpreted as a generalization of the McKay correspondence to non-compact 3-dimensional toric Calabi-Yau manifolds.

8.384817

7.842887

9.849258

7.843228

8.029657

8.363256

8.528419

8.176467

7.729013

9.762334

7.866605

8.039515

8.593167

8.101912

7.822713

8.012037

8.107827

7.741723

7.973231

8.73507

7.963892

2312.17745

Jacob Bourjaily

Jacob L. Bourjaily

Computational Tools for Trees in Gauge Theory and Gravity

178 pages, 285 documented functions. Included with this submission is the Mathematica package tree_amplitudes and a notebook with many detailed examples

null

hep-th

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

We describe a new set of public, self-contained, and versatile computational tools for the investigation, manipulation, and evaluation of tree-level amplitudes in pure (super)Yang-Mills and (super)Gravity, $\phi^p$-scalar field theory, and various other theories related to these through the double-copy. The package brings together a diverse set of frameworks for representing amplitudes, from twistor string theory and scattering equations, to KLT and the double-copy, to on-shell recursion and the (oriented) positroid geometry of the amplituhedron. In addition to checking agreement across frameworks, we have made it easy to test many of the non-trivial relations satisfied by amplitudes, their components and building blocks, including: Ward identities, KK and BCJ relations, soft theorems, and the $E_{7|7}$ structure of maximal supergravity. Beyond providing a coherent and consistent implementation of many well known (if not publicly available) results, our package includes a number of results well beyond what has existed in the present literature--from local, covariant, manifestly color-kinematic-dual representations of amplitudes for gluons/gravitons at arbitrary multiplicity, to a complete classification of Yangian invariants via oriented homology in the amplituhedron. The Mathematica package `tree_amplitudes', and a notebook illustrating its functionality are available as ancillary files attached to this work's page on the arXiv.

[ { "created": "Fri, 29 Dec 2023 18:58:40 GMT", "version": "v1" } ]

2024-01-01

[ [ "Bourjaily", "Jacob L.", "" ] ]

We describe a new set of public, self-contained, and versatile computational tools for the investigation, manipulation, and evaluation of tree-level amplitudes in pure (super)Yang-Mills and (super)Gravity, $\phi^p$-scalar field theory, and various other theories related to these through the double-copy. The package brings together a diverse set of frameworks for representing amplitudes, from twistor string theory and scattering equations, to KLT and the double-copy, to on-shell recursion and the (oriented) positroid geometry of the amplituhedron. In addition to checking agreement across frameworks, we have made it easy to test many of the non-trivial relations satisfied by amplitudes, their components and building blocks, including: Ward identities, KK and BCJ relations, soft theorems, and the $E_{7|7}$ structure of maximal supergravity. Beyond providing a coherent and consistent implementation of many well known (if not publicly available) results, our package includes a number of results well beyond what has existed in the present literature--from local, covariant, manifestly color-kinematic-dual representations of amplitudes for gluons/gravitons at arbitrary multiplicity, to a complete classification of Yangian invariants via oriented homology in the amplituhedron. The Mathematica package `tree_amplitudes', and a notebook illustrating its functionality are available as ancillary files attached to this work's page on the arXiv.

11.78186

11.252651

12.939345

11.070003

11.38225

10.811699

11.319228

10.949592

11.266186

14.916769

10.879888

10.749398

11.307051

10.684601

10.866594

10.918984

11.10227

10.647641

10.707106

11.531218

11.044955

hep-th/9407076

null

M. Alvarez and J. M. F. Labastida

Numerical knot invariants of finite type from Chern-Simons perturbation theory

58 pages

Nucl.Phys. B433 (1995) 555-596; Erratum-ibid. B441 (1995) 403-404

10.1016/0550-3213(94)00430-M

US-FT/8-93

hep-th math.QA

null

Chern-Simons gauge theory for compact semisimple groups is analyzed from a perturbation theory point of view. The general form of the perturbative series expansion of a Wilson line is presented in terms of the Casimir operators of the gauge group. From this expansion new numerical knot invariants are obtained. These knot invariants turn out to be of finite type (Vassiliev invariants), and to possess an integral representation. Using known results about Jones, HOMFLY, Kauffman and Akutsu-Wadati polynomial invariants these new knot invariants are computed up to type six for all prime knots up to six crossings. Our results suggest that these knot invariants can be normalized in such a way that they are integer-valued.

[ { "created": "Thu, 14 Jul 1994 05:37:43 GMT", "version": "v1" } ]

2009-10-28

[ [ "Alvarez", "M.", "" ], [ "Labastida", "J. M. F.", "" ] ]

Chern-Simons gauge theory for compact semisimple groups is analyzed from a perturbation theory point of view. The general form of the perturbative series expansion of a Wilson line is presented in terms of the Casimir operators of the gauge group. From this expansion new numerical knot invariants are obtained. These knot invariants turn out to be of finite type (Vassiliev invariants), and to possess an integral representation. Using known results about Jones, HOMFLY, Kauffman and Akutsu-Wadati polynomial invariants these new knot invariants are computed up to type six for all prime knots up to six crossings. Our results suggest that these knot invariants can be normalized in such a way that they are integer-valued.

7.559096

7.428301

8.16452

6.62965

7.973446

7.634983

6.935226

6.7248

6.477882

7.993082

6.69036

6.408175

7.291258

6.694393

6.662152

6.450899

6.501703

6.583234

6.592052

6.898156

6.520721

2304.01264

Noriyuki Sogabe

Kentaro Nishimura, Noriyuki Sogabe

Novel transition dynamics of topological solitons

8 pages, 4 figures; published version

Phys. Rev. D 109, 014028 (2024)

10.1103/PhysRevD.109.014028

null

hep-th cond-mat.mtrl-sci hep-ph nucl-th

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

Continuous phase transitions can be classified into ones characterized by local-order parameters and others that need additional topological constraints. The critical dynamics near the former transitions have been extensively studied, but the latter is less understood. We fill this gap in knowledge by studying the transition dynamics to a parity-breaking topological ground state called the chiral soliton lattice in quantum chromodynamics at finite temperature, baryon chemical potential, and external magnetic field. We find a slowing down of the soliton's translational motion as the critical magnetic field approaches while the local dissipation rate remains finite. Therefore, the characteristic time it takes to converge to the stationary state associated with a finite topological number strongly depends on the initial configuration: whether it forms a solitonic structure or not.

[ { "created": "Mon, 3 Apr 2023 18:00:47 GMT", "version": "v1" }, { "created": "Thu, 13 Apr 2023 14:25:22 GMT", "version": "v2" }, { "created": "Tue, 23 Jan 2024 22:04:11 GMT", "version": "v3" } ]

2024-01-25

[ [ "Nishimura", "Kentaro", "" ], [ "Sogabe", "Noriyuki", "" ] ]

Continuous phase transitions can be classified into ones characterized by local-order parameters and others that need additional topological constraints. The critical dynamics near the former transitions have been extensively studied, but the latter is less understood. We fill this gap in knowledge by studying the transition dynamics to a parity-breaking topological ground state called the chiral soliton lattice in quantum chromodynamics at finite temperature, baryon chemical potential, and external magnetic field. We find a slowing down of the soliton's translational motion as the critical magnetic field approaches while the local dissipation rate remains finite. Therefore, the characteristic time it takes to converge to the stationary state associated with a finite topological number strongly depends on the initial configuration: whether it forms a solitonic structure or not.

14.800622

16.911819

13.638125

14.231269

15.768814

15.368633

15.70554

15.894919

13.510875

15.160336

15.062792

14.088455

13.721661

13.725279

13.791922

13.806625

13.270527

14.181618

13.122686

13.750493

14.727417

1203.1670

Fernando Tadeu Caldeira Brandt

F T Brandt and J B Siqueira

Thermal Effective Lagrangian of Static Gravitational Fields

Accepted for publication in the Physical Review D

null

10.1103/PhysRevD.85.067701

null

hep-th

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

We compute the effective Lagrangian of static gravitational fields interacting with thermal fields. Our approach employs the usual imaginary time formalism as well as the equivalence between the static and space-time independent external gravitational fields. This allows to obtain a closed form expression for the thermal effective Lagrangian in $d$ space-time dimensions.

[ { "created": "Thu, 8 Mar 2012 00:40:13 GMT", "version": "v1" } ]

2015-06-04

[ [ "Brandt", "F T", "" ], [ "Siqueira", "J B", "" ] ]

We compute the effective Lagrangian of static gravitational fields interacting with thermal fields. Our approach employs the usual imaginary time formalism as well as the equivalence between the static and space-time independent external gravitational fields. This allows to obtain a closed form expression for the thermal effective Lagrangian in $d$ space-time dimensions.

12.259509

9.625758

11.643329

10.186842

10.224085

9.912448

9.531378

9.949799

10.523787

11.455817

10.420583

10.869493

11.116633

10.633945

10.44732

10.287807

10.607113

10.747211

10.76807

10.316672

10.997572

2111.14017

Idrish Huet

Adolfo Huet, Idrish Huet, Octavio Cornejo

New asymptotic techniques for the partial wave cut-off method for calculating the QED one loop effective action

23 pages, 6 figures

null

10.1142/S0217751X22500609

null

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

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

The Gel'fand-Yaglom theorem has been used to calculate the one-loop effective action in quantum field theory by means of the "partial-wave-cutoff method". This method works well for a wide class of background fields and is essentially exact. However, its implementation has been semi-analytical so far since it involves solving a non-linear ordinary differential equation for which solutions are in general unknown. Within the context of quantum electrodynamics (QED) and $O(2)\times O(3)$ symmetric backgrounds, we present two complementary asymptotic methods that provide approximate analytical solutions to this equation. We test these approximations for different background field configurations and mass regimes and demonstrate that the effective action can indeed be calculated with good accuracy using these asymptotic expressions. To further probe these methods, we analyze the massless limit of the effective action and obtain its divergence structure with respect to the radial suppression parameter of the background field, comparing our findings with previously reported results.

[ { "created": "Sun, 28 Nov 2021 01:30:08 GMT", "version": "v1" } ]

2022-06-29

[ [ "Huet", "Adolfo", "" ], [ "Huet", "Idrish", "" ], [ "Cornejo", "Octavio", "" ] ]

The Gel'fand-Yaglom theorem has been used to calculate the one-loop effective action in quantum field theory by means of the "partial-wave-cutoff method". This method works well for a wide class of background fields and is essentially exact. However, its implementation has been semi-analytical so far since it involves solving a non-linear ordinary differential equation for which solutions are in general unknown. Within the context of quantum electrodynamics (QED) and $O(2)\times O(3)$ symmetric backgrounds, we present two complementary asymptotic methods that provide approximate analytical solutions to this equation. We test these approximations for different background field configurations and mass regimes and demonstrate that the effective action can indeed be calculated with good accuracy using these asymptotic expressions. To further probe these methods, we analyze the massless limit of the effective action and obtain its divergence structure with respect to the radial suppression parameter of the background field, comparing our findings with previously reported results.

9.885199

9.527663

10.106661

8.841233

9.624515

8.912709

9.846218

9.816817

9.030733

9.635343

8.963662

9.314678

8.935617

9.233295

9.156842

9.108569

9.285439

9.189686

9.050144

9.096813

9.16559

1106.0351

Changhyun Ahn

The Large N 't Hooft Limit of Coset Minimal Models

24 pages; footnotes 4 and 6 added, the pages 11-12 improved and to appear in JHEP

null

10.1007/JHEP10(2011)125

PUPT-2380

hep-th

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

Recently, Gaberdiel and Gopakumar proposed that the two-dimensional WA_{N-1} minimal model conformal field theory in the large N 't Hooft limit is dual to the higher spin theories on the three-dimensional AdS space with two complex scalars. In this paper, we examine this proposal for the WD_{N/2} and WB_{(N-1)/2} minimal models initiated by Fateev and Lukyanov in 1988. By analyzing the renormalization group flows on these models, we find that the gravity duals in AdS space are higher spin theories coupled to two equally massive real scalar fields. We also describe the large N 't Hooft limit for the minimal model of the second parafermion theory.

[ { "created": "Thu, 2 Jun 2011 00:52:29 GMT", "version": "v1" }, { "created": "Thu, 13 Oct 2011 11:19:01 GMT", "version": "v2" } ]

2015-05-28

[ [ "Ahn", "Changhyun", "" ] ]

Recently, Gaberdiel and Gopakumar proposed that the two-dimensional WA_{N-1} minimal model conformal field theory in the large N 't Hooft limit is dual to the higher spin theories on the three-dimensional AdS space with two complex scalars. In this paper, we examine this proposal for the WD_{N/2} and WB_{(N-1)/2} minimal models initiated by Fateev and Lukyanov in 1988. By analyzing the renormalization group flows on these models, we find that the gravity duals in AdS space are higher spin theories coupled to two equally massive real scalar fields. We also describe the large N 't Hooft limit for the minimal model of the second parafermion theory.

8.069081

7.309943

8.482695

6.779571

7.15961

6.856665

6.786856

6.345987

7.261003

11.332506

6.743324

7.056032

8.830157

7.225804

7.730317

7.402681

7.119278

7.370292

7.187525

8.249576

7.312412

hep-th/9512183

Nicholas Philip Warner

N.P. Warner

Supersymmetric, Integrable Boundary Field Theories

11 pages, latex with espcrc2.tex/espcrc2.sty Contribution to the proceedings of the ICTP workshop on Recent Developments in Statistical Mechanics and Quantum Field Theory

Nucl.Phys.Proc.Suppl.45A:154-163,1996

null

USC-95/027

hep-th

null

Quantum integrable models that possess $N=2$ supersymmetry are investigated on the half-space. Conformal perturbation theory is used to identify some $N=2$ supersymmetric boundary integrable models, and the effective boundary Landau-Ginzburg actions are constructed. It is found that $N=2$ supersymmetry largely determines the boundary action in terms of the bulk, and in particular, the boundary bosonic potential is $|W|^2$, where $W$ is the bulk superpotential. Supersymmetry is also discussed from the perspective of the affine quantum group symmetry of exact scattering matrices, and exact $N=2$ supersymmetry preserving boundary reflection matrices are described.

[ { "created": "Fri, 22 Dec 1995 01:31:08 GMT", "version": "v1" } ]

2011-07-19

[ [ "Warner", "N. P.", "" ] ]

Quantum integrable models that possess $N=2$ supersymmetry are investigated on the half-space. Conformal perturbation theory is used to identify some $N=2$ supersymmetric boundary integrable models, and the effective boundary Landau-Ginzburg actions are constructed. It is found that $N=2$ supersymmetry largely determines the boundary action in terms of the bulk, and in particular, the boundary bosonic potential is $|W|^2$, where $W$ is the bulk superpotential. Supersymmetry is also discussed from the perspective of the affine quantum group symmetry of exact scattering matrices, and exact $N=2$ supersymmetry preserving boundary reflection matrices are described.

7.029408

7.196292

8.236879

6.955564

7.130472

6.868041

7.452119

6.783355

6.856682

8.990367

6.943512

6.939611

7.605004

6.949144

7.009825

7.176137

6.815818

6.835553

7.185004

7.660862

6.776519

2203.02492

Zhencheng Wang

Henry Maxfield, Zhencheng Wang

Gravitating spinning strings in AdS$_3$

30 pages, 3 figures. v2: references about other spinning string solutions added; v3: updated to match the published version

null

10.1007/JHEP07(2022)075

null

hep-th gr-qc

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

In the AdS/CFT correspondence, single trace operators of large-$N$ gauge theories at large spin $J$ can be described by classical spinning strings, giving a geometric and classical description of their spectrum at strong coupling. We observe that in AdS$_3$ these strings have significant gravitational back-reaction at sufficiently large spin, since the gravitational force does not decay at long distances. We construct solutions for folded spinning strings coupled to gravity in AdS$_3$ and compute their spectrum, corresponding to the leading Regge trajectory of Virasroro primary operators. These solutions exist only below a maximal spin $J<J_\mathrm{max}$, and as $J\to J_\mathrm{max}$ the solution approaches an extremal rotating BTZ black hole.

[ { "created": "Fri, 4 Mar 2022 18:45:08 GMT", "version": "v1" }, { "created": "Sat, 9 Apr 2022 02:15:17 GMT", "version": "v2" }, { "created": "Fri, 15 Jul 2022 17:56:30 GMT", "version": "v3" } ]

2022-07-27

[ [ "Maxfield", "Henry", "" ], [ "Wang", "Zhencheng", "" ] ]

In the AdS/CFT correspondence, single trace operators of large-$N$ gauge theories at large spin $J$ can be described by classical spinning strings, giving a geometric and classical description of their spectrum at strong coupling. We observe that in AdS$_3$ these strings have significant gravitational back-reaction at sufficiently large spin, since the gravitational force does not decay at long distances. We construct solutions for folded spinning strings coupled to gravity in AdS$_3$ and compute their spectrum, corresponding to the leading Regge trajectory of Virasroro primary operators. These solutions exist only below a maximal spin $J<J_\mathrm{max}$, and as $J\to J_\mathrm{max}$ the solution approaches an extremal rotating BTZ black hole.

8.840003

9.17063

8.537057

8.267347

9.572064

9.058717

8.88491

8.305529

8.499856

9.775135

8.380136

8.014683

8.451461

8.068627

8.049446

8.363336

8.05296

7.723246

8.001423

8.439936

8.476338

hep-th/0204098

A. D. Alhaidari

Reply to 'Comment on "Solution of the Relativistic Dirac-Morse Problem"'

null

hep-th

null

This combines a reply to the Comment [hep-th/0203067 v1] by A. N. Vaidya and R. de L. Rodrigues with an erratum to our Letter [Phys. Rev. Lett. 87, 210405 (2001)]

[ { "created": "Thu, 11 Apr 2002 22:46:14 GMT", "version": "v1" } ]

2007-05-23

[ [ "Alhaidari", "A. D.", "" ] ]

This combines a reply to the Comment [hep-th/0203067 v1] by A. N. Vaidya and R. de L. Rodrigues with an erratum to our Letter [Phys. Rev. Lett. 87, 210405 (2001)]

14.340947

10.578997

11.504418

8.796034

10.419139

9.545624

10.357542

9.990294

10.005466

11.616071

10.671322

10.670553

9.740117

9.151273

10.166589

10.590344

10.238247

10.522448

10.313485

9.84864

10.761086

2308.02087

Jo\~ao Streibel

Pawel Klimas and Jo\~ao Saldanha Streibel

Signum-Gordon shock waves in (2+1) and (3+1) dimensions

27 pages, 22 figures

null

hep-th

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

This study introduces novel, exact solutions to the scalar field Signum-Gordon equation that feature a discontinuity near the light cone. These solutions, applicable in higher spatial dimensions ($n > 1$), extend previous limitations to one dimension. Our chosen ansatz leads to an ordinary equation with exact solutions obtained for $n = 2$ and $3$ spatial dimensions. The shock wave's energy trapped within the light cone is proportional to the wave's $n$-dimensional volume and the field discontinuity at the wavefront. The investigation delves further into the behavior of shock waves when their driving force, represented by a delta function at the light cone, is disabled. Disabling this delta function disrupts energy transfer, preventing the wave's propagation as predicted by analytical calculations. We identify the region within the light cones where the field remains unaffected. Two-dimensional ($n = 2$) simulations reveal the formation of intriguing structures upon source removal. These structures include a central, stable feature resembling an oscillon and a surrounding ring that breaks down into smaller oscillations.

[ { "created": "Fri, 4 Aug 2023 00:02:49 GMT", "version": "v1" }, { "created": "Fri, 14 Jun 2024 15:22:12 GMT", "version": "v2" } ]

2024-06-17

[ [ "Klimas", "Pawel", "" ], [ "Streibel", "João Saldanha", "" ] ]

This study introduces novel, exact solutions to the scalar field Signum-Gordon equation that feature a discontinuity near the light cone. These solutions, applicable in higher spatial dimensions ($n > 1$), extend previous limitations to one dimension. Our chosen ansatz leads to an ordinary equation with exact solutions obtained for $n = 2$ and $3$ spatial dimensions. The shock wave's energy trapped within the light cone is proportional to the wave's $n$-dimensional volume and the field discontinuity at the wavefront. The investigation delves further into the behavior of shock waves when their driving force, represented by a delta function at the light cone, is disabled. Disabling this delta function disrupts energy transfer, preventing the wave's propagation as predicted by analytical calculations. We identify the region within the light cones where the field remains unaffected. Two-dimensional ($n = 2$) simulations reveal the formation of intriguing structures upon source removal. These structures include a central, stable feature resembling an oscillon and a surrounding ring that breaks down into smaller oscillations.

14.690682

14.585609

14.778676

13.102032

14.729847

15.13025

15.06224

13.418654

13.687356

16.549391

13.520167

14.126554

14.150152

13.575211

14.012046

13.793882

14.032579

13.432751

13.728183

13.718268

13.803701

2304.09830

Aleksander Cianciara

Aleksander J. Cianciara, Zachary Coleman, S. James Gates Jr., Youngik Tom Lee, and Ziyang Zhang

$\cal N$=2 SUSY and the Hexipentisteriruncicantitruncated 7-Simplex

35 pages, 12 figures

null

hep-th math-ph math.MP

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

We study algorithms for recursively creating arbitrary N-extended `supermultiplets' given minimal matrix representations of off-shell, N = 1 supermultiplet matrices. We observe connections between the color vertex problems in graph theory and the different supermultiplet sets locations in the permutahedron by using the concepts of truncation and chromatic number. The concept of `hopping operators' is introduced, constructed, and then used to partition the 8! vertices of the permutahedron. We explicitly partition these into 5,040 octets constrained in locations on the permutahedron by a magic number rule. Boolean factors in this recursive construction are shown to obey a doubly even binary flip rule. Although these hopping operators do not generally constitute normal subgroups of the permutation group, we find that `ab-normal cosets' exist where the same left- and right-hoppers appear as unordered sets. Finally, using computer simulations, we investigate the types of faces on higher-order permutahedron which may give rise to lower-order supermultiplets.

[ { "created": "Wed, 19 Apr 2023 17:32:49 GMT", "version": "v1" }, { "created": "Mon, 24 Apr 2023 18:33:40 GMT", "version": "v2" } ]

2023-04-26

[ [ "Cianciara", "Aleksander J.", "" ], [ "Coleman", "Zachary", "" ], [ "Gates", "S. James", "Jr." ], [ "Lee", "Youngik Tom", "" ], [ "Zhang", "Ziyang", "" ] ]

We study algorithms for recursively creating arbitrary N-extended `supermultiplets' given minimal matrix representations of off-shell, N = 1 supermultiplet matrices. We observe connections between the color vertex problems in graph theory and the different supermultiplet sets locations in the permutahedron by using the concepts of truncation and chromatic number. The concept of `hopping operators' is introduced, constructed, and then used to partition the 8! vertices of the permutahedron. We explicitly partition these into 5,040 octets constrained in locations on the permutahedron by a magic number rule. Boolean factors in this recursive construction are shown to obey a doubly even binary flip rule. Although these hopping operators do not generally constitute normal subgroups of the permutation group, we find that `ab-normal cosets' exist where the same left- and right-hoppers appear as unordered sets. Finally, using computer simulations, we investigate the types of faces on higher-order permutahedron which may give rise to lower-order supermultiplets.

28.295158

30.227013

29.670752

28.916491

28.689621

28.683664

29.723938

29.709188

28.705605

31.192953

27.595362

26.97584

27.879139

28.007576

28.225811

27.405756

28.061312

27.855103

27.18569

28.178497

27.403948

1107.3255

M. P. Garcia del Moral

Maria Pilar Garcia del Moral

A New Mechanism for Gauging a Theory

Latex, 27 pages

null

FPAUO-11/08

hep-th math-ph math.MP

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

We provide a mechanism of gauging a theory based on a particular way to embed a theory on a target space such that a nontrivial fibration is produced. A connection over a nontrivial fibration with monodromy provides a natural framework for a new way of gauging a theory. Moreover, properties of the global symmetry of the original theory are included in a particular way in the new theory. This mechanism for gauging a symmetry preserves the total number of degrees of freedom in distinction with the classical one. We consider a particular example to illustrate the mechanism: by reinterpreting the supermembrane with central charges as a gauged supermembrane of the compactified supermembrane according to this new sense of gauging. Further applications are also discussed.

[ { "created": "Sat, 16 Jul 2011 20:48:26 GMT", "version": "v1" } ]

2011-07-19

[ [ "del Moral", "Maria Pilar Garcia", "" ] ]

We provide a mechanism of gauging a theory based on a particular way to embed a theory on a target space such that a nontrivial fibration is produced. A connection over a nontrivial fibration with monodromy provides a natural framework for a new way of gauging a theory. Moreover, properties of the global symmetry of the original theory are included in a particular way in the new theory. This mechanism for gauging a symmetry preserves the total number of degrees of freedom in distinction with the classical one. We consider a particular example to illustrate the mechanism: by reinterpreting the supermembrane with central charges as a gauged supermembrane of the compactified supermembrane according to this new sense of gauging. Further applications are also discussed.

11.043864

10.658374

11.911139

10.581504

10.669472

10.640875

10.068104

10.224645

10.293786

12.155593

10.959491

10.964271

11.47352

11.211048

11.017229

11.158536

10.773753

10.992405

11.004951

11.589588

11.052686

hep-th/0412085

Niccoli Giuliano G.

Gerardo Cristofano, Vincenzo Marotta and Giuliano Niccoli

A new Rational Conformal Field Theory extension of the fully degenerate W_{1+\infty}^{(m)}

37 pages, minor revisions, one definition added, no formula or result has been modified

JHEP0606:054,2006

10.1088/1126-6708/2006/06/054

null

hep-th math.OA math.QA

null

We found new identities among the Dedekind eta-function, the characters of the W_{m} algebra and those of the level 1 affine Lie algebra su(m)_{1}. They allow to characterize the Z_{m}-orbifold of the m-component free bosons u(1)_{K_{m,p}} (our theory TM) as an extension of the fully degenerate representations of W_{1+infty}^{(m)}. In particular, TM is proven to be a Gamma _{theta}-RCFT extension of the chiral fully degenerate W_{1+infty}^{(m)}.

[ { "created": "Wed, 8 Dec 2004 12:29:47 GMT", "version": "v1" }, { "created": "Sat, 8 Apr 2006 10:59:27 GMT", "version": "v2" }, { "created": "Mon, 26 Jun 2006 15:34:04 GMT", "version": "v3" } ]

2009-11-10

[ [ "Cristofano", "Gerardo", "" ], [ "Marotta", "Vincenzo", "" ], [ "Niccoli", "Giuliano", "" ] ]

We found new identities among the Dedekind eta-function, the characters of the W_{m} algebra and those of the level 1 affine Lie algebra su(m)_{1}. They allow to characterize the Z_{m}-orbifold of the m-component free bosons u(1)_{K_{m,p}} (our theory TM) as an extension of the fully degenerate representations of W_{1+infty}^{(m)}. In particular, TM is proven to be a Gamma _{theta}-RCFT extension of the chiral fully degenerate W_{1+infty}^{(m)}.

16.613462

16.835976

17.721422

12.736577

14.782126

16.645624

15.364197

15.580399

14.663349

19.190727

14.384034

14.363946

16.477161

13.200643

13.558219

14.23988

14.421329

13.932567

13.842878

15.848111

13.538125

0908.3291

Saharian

A. A. Saharian, A. L. Mkhitaryan

Vacuum fluctuations and topological Casimir effect in Friedmann-Robertson-Walker cosmologies with compact dimensions

20 pages, 2 figures

Eur.Phys.J.C66:295-306,2010

10.1140/epjc/s10052-010-1247-0

null

hep-th gr-qc quant-ph

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

We investigate the Wightman function, the vacuum expectation values of the field squared and the energy-momentum tensor for a massless scalar field with general curvature coupling parameter in spatially flat Friedmann-Robertson-Walker universes with an arbitrary number of toroidally compactified dimensions. The topological parts in the expectation values are explicitly extracted and in this way the renormalization is reduced to that for the model with trivial topology. In the limit when the comoving lengths of the compact dimensions are very short compared to the Hubble length, the topological parts coincide with those for a conformal coupling and they are related to the corresponding quantities in the flat spacetime by standard conformal transformation. In the opposite limit of large comoving lengths of the compact dimensions, in dependence of the curvature coupling parameter, two regimes are realized with monotonic or oscillatory behavior of the vacuum expectation values. In the monotonic regime and for nonconformally and nonminimally coupled fields the vacuum stresses are isotropic and the equation of state for the topological parts in the energy density and pressures is of barotropic type. In the oscillatory regime, the amplitude of the oscillations for the topological part in the expectation value of the field squared can be either decreasing or increasing with time, whereas for the energy-momentum tensor the oscillations are damping.

[ { "created": "Sun, 23 Aug 2009 09:40:05 GMT", "version": "v1" } ]

2010-08-11

[ [ "Saharian", "A. A.", "" ], [ "Mkhitaryan", "A. L.", "" ] ]

We investigate the Wightman function, the vacuum expectation values of the field squared and the energy-momentum tensor for a massless scalar field with general curvature coupling parameter in spatially flat Friedmann-Robertson-Walker universes with an arbitrary number of toroidally compactified dimensions. The topological parts in the expectation values are explicitly extracted and in this way the renormalization is reduced to that for the model with trivial topology. In the limit when the comoving lengths of the compact dimensions are very short compared to the Hubble length, the topological parts coincide with those for a conformal coupling and they are related to the corresponding quantities in the flat spacetime by standard conformal transformation. In the opposite limit of large comoving lengths of the compact dimensions, in dependence of the curvature coupling parameter, two regimes are realized with monotonic or oscillatory behavior of the vacuum expectation values. In the monotonic regime and for nonconformally and nonminimally coupled fields the vacuum stresses are isotropic and the equation of state for the topological parts in the energy density and pressures is of barotropic type. In the oscillatory regime, the amplitude of the oscillations for the topological part in the expectation value of the field squared can be either decreasing or increasing with time, whereas for the energy-momentum tensor the oscillations are damping.

5.70696

3.762937

5.64264

4.223116

4.123085

4.025382

3.728595

4.148387

4.136559

6.52352

4.309445

4.843387

5.609313

5.055247

4.983415

4.883158

4.959541

5.058935

5.115183

5.91151

5.075924

1602.06511

Sadra Jazayeri Mr.

Sadra Jazayeri, Shinji Mukohyama, Rio Saitou, Yota Watanabe

Ghost inflation and de Sitter entropy

null

JCAP 1608 (2016) no.08, 002

10.1088/1475-7516/2016/08/002

null

hep-th astro-ph.CO gr-qc

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

In the setup of ghost condensation model the generalized second law of black hole thermodynamics can be respected under a radiatively stable assumption that couplings between the field responsible for ghost condensate and matter fields such as those in the Standard Model are suppressed by the Planck scale. Since not only black holes but also cosmology are expected to play important roles towards our better understanding of gravity, we consider a cosmological setup to test the theory of ghost condensation. In particular we shall show that the de Sitter entropy bound proposed by Arkani-Hamed, et.al. is satisfied if ghost inflation happened in the early epoch of our universe and if there remains a tiny positive cosmological constant in the future infinity. We then propose a notion of cosmological Page time after inflation.

[ { "created": "Sun, 21 Feb 2016 08:09:47 GMT", "version": "v1" }, { "created": "Sun, 14 Aug 2016 15:42:09 GMT", "version": "v2" } ]

2016-08-16

[ [ "Jazayeri", "Sadra", "" ], [ "Mukohyama", "Shinji", "" ], [ "Saitou", "Rio", "" ], [ "Watanabe", "Yota", "" ] ]

In the setup of ghost condensation model the generalized second law of black hole thermodynamics can be respected under a radiatively stable assumption that couplings between the field responsible for ghost condensate and matter fields such as those in the Standard Model are suppressed by the Planck scale. Since not only black holes but also cosmology are expected to play important roles towards our better understanding of gravity, we consider a cosmological setup to test the theory of ghost condensation. In particular we shall show that the de Sitter entropy bound proposed by Arkani-Hamed, et.al. is satisfied if ghost inflation happened in the early epoch of our universe and if there remains a tiny positive cosmological constant in the future infinity. We then propose a notion of cosmological Page time after inflation.

13.846074

12.321967

12.090067

11.810023

11.895107

13.10275

12.066313

11.108948

11.598867

13.486252

11.629471

11.809216

11.960001

11.650816

11.63648

11.474911

11.919692

11.728848

11.99525

12.402959

11.93903

hep-th/9911243

Uwe Trittmann

Paul Haney, John R. Hiller, Oleg Lunin, Stephen Pinsky, Uwe Trittmann

The Mass Spectrum of N=1 SYM(2+1) at Strong Coupling

18 pp, 7 figures

Phys.Rev. D62 (2000) 075002

10.1103/PhysRevD.62.075002

OHSTPY-HEP-T-99-024, UMD-D-99-4

hep-th hep-ph

null

We consider supersymmetric Yang-Mills theory on R x S^1 x S^1. In particular, we choose one of the compact directions to be light-like and another to be space-like. Since the SDLCQ regularization explicitly preserves supersymmetry, this theory is totally finite, and thus we can solve for bound state wave functions and masses numerically without renormalizing. We present the masses as functions of the longitudinal and transverse resolutions and show that the masses converge rapidly in both resolutions. We also study the behavior of the spectrum as a function of the coupling and find that at strong coupling there is a stable, well defined spectrum which we present. We also find several unphysical states that decouple at large transverse resolution. There are two sets of massless states; one set is massless only at zero coupling and the other is massless at all couplings. Together these sets of massless states are in one-to-one correspondence with the full spectrum of the dimensionally reduced theory.

[ { "created": "Tue, 30 Nov 1999 04:19:27 GMT", "version": "v1" } ]

2009-10-31

[ [ "Haney", "Paul", "" ], [ "Hiller", "John R.", "" ], [ "Lunin", "Oleg", "" ], [ "Pinsky", "Stephen", "" ], [ "Trittmann", "Uwe", "" ] ]

We consider supersymmetric Yang-Mills theory on R x S^1 x S^1. In particular, we choose one of the compact directions to be light-like and another to be space-like. Since the SDLCQ regularization explicitly preserves supersymmetry, this theory is totally finite, and thus we can solve for bound state wave functions and masses numerically without renormalizing. We present the masses as functions of the longitudinal and transverse resolutions and show that the masses converge rapidly in both resolutions. We also study the behavior of the spectrum as a function of the coupling and find that at strong coupling there is a stable, well defined spectrum which we present. We also find several unphysical states that decouple at large transverse resolution. There are two sets of massless states; one set is massless only at zero coupling and the other is massless at all couplings. Together these sets of massless states are in one-to-one correspondence with the full spectrum of the dimensionally reduced theory.

7.711151

6.199866

8.77142

6.792065

6.136631

5.91186

5.78082

6.124588

6.701095

9.101686

6.718396

7.220683

8.04851

7.476951

7.244046

7.178396

7.586534

7.350219

7.357023

7.90741

7.268541

hep-th/9706135

Predrag L. Stojkov

New Approximations to the Fradkin representation for Green's functions

revtex, 22 pages

null

hep-th

null

A new variant of the exact Fradkin representation of the Green's function $G_c(x,y|gU)$, defined for arbitrary external potential $U$, is presented. Although this new approach is very similar in spirit to that previously derived by Fried and Gabellini, for certain calculations this specific variant, with its prescribed approximations, is more readily utilizable. Application of the simplest of these forms is made to the $\lambda\Phi^4$ theory in four dimensions. As an independent check of these approximate forms, an improved version of the Schwinger-DeWitt asymptotic expansion of parametrix function is derived.

[ { "created": "Thu, 19 Jun 1997 23:31:18 GMT", "version": "v1" }, { "created": "Fri, 20 Jun 1997 01:00:17 GMT", "version": "v2" } ]

2008-02-03

[ [ "Stojkov", "Predrag L.", "" ] ]

A new variant of the exact Fradkin representation of the Green's function $G_c(x,y|gU)$, defined for arbitrary external potential $U$, is presented. Although this new approach is very similar in spirit to that previously derived by Fried and Gabellini, for certain calculations this specific variant, with its prescribed approximations, is more readily utilizable. Application of the simplest of these forms is made to the $\lambda\Phi^4$ theory in four dimensions. As an independent check of these approximate forms, an improved version of the Schwinger-DeWitt asymptotic expansion of parametrix function is derived.

19.86622

20.313608

18.222334

16.29089

17.053024

18.459402

18.167154

19.350393

18.473206

19.421221

17.077484

17.739714

16.481047

15.84652

16.341349

16.385672

16.443764

16.938341

16.62326

16.70203

17.592625

hep-th/0011125

Hong Liu

Hong Liu (Rutgers)

*-Trek II: *_n Operations, Open Wilson Lines and the Seiberg-Witten Map

30 pages, AMSLaTeX using JHEP.cls., clarifications made, misprints corrected, references added

Nucl.Phys. B614 (2001) 305-329

10.1016/S0550-3213(01)00402-3

RUNHETC-00-45

hep-th

null

Generalizations of the *-product (e.g. n-ary *_n operations) appear in various places in the discussion of noncommutative gauge theories. These include the one-loop effective action of noncommutative gauge theories, the couplings between massless closed and open string modes, and the Seiberg-Witten map between the ordinary and noncommutative Yang-Mills fields. We propose that the natural way to understand the *_n operations is through the expansion of an open Wilson line. We establish the connection between an open Wilson line and the *_n operations and use it to: (I) write down a gauge invariant effective action for the one-loop F^4 terms in the noncommutative N=4 SYM theory; (II) find the gauge invariant couplings between the noncommutative SYM modes and the massless closed string modes in flat space; (III) propose a closed form for the Seiberg-Witten map in the U(1) case.

[ { "created": "Tue, 14 Nov 2000 22:53:03 GMT", "version": "v1" }, { "created": "Wed, 15 Nov 2000 04:01:35 GMT", "version": "v2" }, { "created": "Tue, 21 Nov 2000 22:49:32 GMT", "version": "v3" } ]

2009-10-31

[ [ "Liu", "Hong", "", "Rutgers" ] ]

Generalizations of the *-product (e.g. n-ary *_n operations) appear in various places in the discussion of noncommutative gauge theories. These include the one-loop effective action of noncommutative gauge theories, the couplings between massless closed and open string modes, and the Seiberg-Witten map between the ordinary and noncommutative Yang-Mills fields. We propose that the natural way to understand the *_n operations is through the expansion of an open Wilson line. We establish the connection between an open Wilson line and the *_n operations and use it to: (I) write down a gauge invariant effective action for the one-loop F^4 terms in the noncommutative N=4 SYM theory; (II) find the gauge invariant couplings between the noncommutative SYM modes and the massless closed string modes in flat space; (III) propose a closed form for the Seiberg-Witten map in the U(1) case.

6.151639

5.379984

6.796328

5.739967

5.813888

5.580884

5.927114

5.790098

5.782145

6.951568

5.567402

5.684654

6.311607

5.731541

5.905709

5.775931

5.6664

5.709864

5.635103

6.102643

5.821223

1101.1586

Andrey Zayakin

Johanna Erdmenger, A. Gorsky, P.N. Kopnin, A. Krikun, A.V. Zayakin

Low-Energy Theorems from Holography

32 pages, 4 figures, two references added, typos removed

JHEP 1103:044,2011

10.1007/JHEP03(2011)044

ITEP-TH-32/10, MPP-2010-167

hep-th hep-ph

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

In the context of gauge/gravity duality, we verify two types of gauge theory low-energy theorems, the dilation Ward identities and the decoupling of heavy flavor. First, we provide an analytic proof of non-trivial dilation Ward identities for a theory holographically dual to a background with gluon condensate (the self-dual Liu--Tseytlin background). In this way an important class of low-energy theorems for correlators of different operators with the trace of the energy-momentum tensor is established, which so far has been studied in field theory only. Another low-energy relationship, the so-called decoupling theorem, is numerically shown to hold universally in three holographic models involving both the quark and the gluon condensate. We show this by comparing the ratio of the quark and gluon condensates in three different examples of gravity backgrounds with non-trivial dilaton flow. As a by-product of our study, we also obtain gauge field condensate contributions to meson transport coefficients.

[ { "created": "Sat, 8 Jan 2011 11:25:21 GMT", "version": "v1" }, { "created": "Fri, 21 Jan 2011 11:55:41 GMT", "version": "v2" }, { "created": "Wed, 26 Jan 2011 00:50:58 GMT", "version": "v3" } ]

2015-03-17

[ [ "Erdmenger", "Johanna", "" ], [ "Gorsky", "A.", "" ], [ "Kopnin", "P. N.", "" ], [ "Krikun", "A.", "" ], [ "Zayakin", "A. V.", "" ] ]

In the context of gauge/gravity duality, we verify two types of gauge theory low-energy theorems, the dilation Ward identities and the decoupling of heavy flavor. First, we provide an analytic proof of non-trivial dilation Ward identities for a theory holographically dual to a background with gluon condensate (the self-dual Liu--Tseytlin background). In this way an important class of low-energy theorems for correlators of different operators with the trace of the energy-momentum tensor is established, which so far has been studied in field theory only. Another low-energy relationship, the so-called decoupling theorem, is numerically shown to hold universally in three holographic models involving both the quark and the gluon condensate. We show this by comparing the ratio of the quark and gluon condensates in three different examples of gravity backgrounds with non-trivial dilaton flow. As a by-product of our study, we also obtain gauge field condensate contributions to meson transport coefficients.

9.879354

10.077495

10.280401

9.185534

10.057212

10.53732

9.24542

10.225742

9.985737

11.748562

9.534965

9.422935

10.164727

9.466868

9.430589

9.524849

9.654285

9.376257

9.461576

10.280666

9.417698

hep-th/9210034

James Anglin

J.R. Anglin

Thermal Equilibrium from the Hu-Paz-Zhang Master Equation

10 pages, McGill/92--46

null

hep-th gr-qc

null

The exact master equation for a harmonic oscillator coupled to a heat bath, derived recently by Hu, Paz and Zhang, is simplified by taking the weak-coupling, late-time limit. The unique time-independent solution to this simplified master equation is the canonical ensemble at the temperature of the bath. The frequency of the oscillator is effectively lowered by the interaction with the bath.

[ { "created": "Wed, 7 Oct 1992 18:48:08 GMT", "version": "v1" } ]

2007-05-23

[ [ "Anglin", "J. R.", "" ] ]

The exact master equation for a harmonic oscillator coupled to a heat bath, derived recently by Hu, Paz and Zhang, is simplified by taking the weak-coupling, late-time limit. The unique time-independent solution to this simplified master equation is the canonical ensemble at the temperature of the bath. The frequency of the oscillator is effectively lowered by the interaction with the bath.

8.843863

8.876266

8.640141

8.650628

8.707507

8.530261

8.355061

7.848924

8.546419

8.482669

8.525988

8.223207

7.995534

7.960581

8.154204

8.189146

8.209244

7.602075

8.128458

7.994911

8.345071

1412.4245

Vladimir Belavin

V. Belavin

Correlation Functions in Unitary Minimal Liouville Gravity and Frobenius Manifolds

26 pages

null

10.1007/JHEP02(2015)052

null

hep-th

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

We continue to study minimal Liouville gravity (MLG) using a dual approach based on the idea that the MLG partition function is related to the tau function of the A_q integrable hierarchy via the resonance transformations, which are in turn fixed by conformal selection rules. One of the main problems in this approach is to choose the solution of the Douglas string equation that is relevant for MLG. The appropriate solution was recently found using connection with the Frobenius manifolds. We use this solution to investigate three- and four-point correlators in the unitary MLG models. We find an agreement with the results of the original approach in the region of the parameters where both methods are applicable. In addition, we find that only part of the selection rules can be satisfied using the resonance transformations. The physical meaning of the nonzero correlators, which before coupling to Liouville gravity are forbidden by the selection rules, and also the modification of the dual formulation that takes this effect into account remains to be found.

[ { "created": "Sat, 13 Dec 2014 15:24:23 GMT", "version": "v1" } ]

2015-06-23

[ [ "Belavin", "V.", "" ] ]

We continue to study minimal Liouville gravity (MLG) using a dual approach based on the idea that the MLG partition function is related to the tau function of the A_q integrable hierarchy via the resonance transformations, which are in turn fixed by conformal selection rules. One of the main problems in this approach is to choose the solution of the Douglas string equation that is relevant for MLG. The appropriate solution was recently found using connection with the Frobenius manifolds. We use this solution to investigate three- and four-point correlators in the unitary MLG models. We find an agreement with the results of the original approach in the region of the parameters where both methods are applicable. In addition, we find that only part of the selection rules can be satisfied using the resonance transformations. The physical meaning of the nonzero correlators, which before coupling to Liouville gravity are forbidden by the selection rules, and also the modification of the dual formulation that takes this effect into account remains to be found.

8.750115

8.764918

9.897803

8.837282

8.369061

8.466161

8.760901

8.438414

8.449243

10.932754

8.038486

8.579263

9.730453

8.647957

8.208875

8.125873

8.205796

8.470233

8.321189

9.311768

8.178608

1811.07299

Sang-Jin Sin

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

Entanglement String and Spin Liquid with Holographic Duality

14 pages, 5 figures

Phys. Rev. D 101, 066020 (2020)

10.1103/PhysRevD.101.066020

null

hep-th

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

We show that the quantum entanglement can be transmuted to a force using the holographic duality. First, we prove that there is an open string in the spectrum of the holographic fermion coupled with scalar. The string ends at two fermions and its tension vanishes in the limit of zero scalar condensation. We associate such string with a dimer and identify the scalar condensation as the degree of the dimerization. Together with divergently large entanglement entropy, the model is expected to describe the Spin Liquid. As a consistency check, we show that there is a Mott transition as the dimerization proceeds. We suggest that the string may be observed in an ARPES experiment of spin liquid or clean Dirac material as a tower of bands.

[ { "created": "Sun, 18 Nov 2018 09:23:22 GMT", "version": "v1" } ]

2020-04-01

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

We show that the quantum entanglement can be transmuted to a force using the holographic duality. First, we prove that there is an open string in the spectrum of the holographic fermion coupled with scalar. The string ends at two fermions and its tension vanishes in the limit of zero scalar condensation. We associate such string with a dimer and identify the scalar condensation as the degree of the dimerization. Together with divergently large entanglement entropy, the model is expected to describe the Spin Liquid. As a consistency check, we show that there is a Mott transition as the dimerization proceeds. We suggest that the string may be observed in an ARPES experiment of spin liquid or clean Dirac material as a tower of bands.

14.178697

15.529055

15.381156

13.265443

14.953931

15.70044

16.567333

14.647967

14.48011

16.21047

13.330838

12.910009

14.309324

13.094983

13.265552

12.975462

12.893276

13.233336

13.471675

15.165773

13.068817

2311.13553

Michael Bordag

M. Bordag

Tachyon condensation in a chromomagnetic center-vortex background

13 pages, 6 figures, some misprints corrected

null

hep-th

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

The chromomagnetic vacuum of SU(2) gluodynamics is considered in the background of a finite radius flux tube (center-vortex) with homogeneous field inside and zero field outside. In this background there are tachyonic modes. These modes cause an instability. It is assumed that the selfinteraction of these modes stops the creation of gluons and that a condensate will be formed. For constant condensates, the minimum of the effective potential is found on the tree level. In the background of these condensates, all tachyonic modes acquire nonzero, real masses which will result in a real effective potential of this system. Considering only the tachyonic modes and adding the energy of the background field, the total energy is found to have a minimum at some value of the background field, which depends on the coupling of the initial SU(2) model. For small coupling, this dependence is polynomial in distinction from the Savvidy vacuum where it is exponentially suppressed. The minimum of this energy will deepens with shrinking radius of the flux tube. It can be expected that this process can be stopped by adding quantum effects. Using the high temperature expansion of the effective potential, it can be expected that the symmetry, which is broken by the condensate, will be restored at sufficiently high temperature.

[ { "created": "Wed, 22 Nov 2023 17:53:09 GMT", "version": "v1" }, { "created": "Wed, 29 Nov 2023 18:35:46 GMT", "version": "v2" } ]

2023-11-30

[ [ "Bordag", "M.", "" ] ]

The chromomagnetic vacuum of SU(2) gluodynamics is considered in the background of a finite radius flux tube (center-vortex) with homogeneous field inside and zero field outside. In this background there are tachyonic modes. These modes cause an instability. It is assumed that the selfinteraction of these modes stops the creation of gluons and that a condensate will be formed. For constant condensates, the minimum of the effective potential is found on the tree level. In the background of these condensates, all tachyonic modes acquire nonzero, real masses which will result in a real effective potential of this system. Considering only the tachyonic modes and adding the energy of the background field, the total energy is found to have a minimum at some value of the background field, which depends on the coupling of the initial SU(2) model. For small coupling, this dependence is polynomial in distinction from the Savvidy vacuum where it is exponentially suppressed. The minimum of this energy will deepens with shrinking radius of the flux tube. It can be expected that this process can be stopped by adding quantum effects. Using the high temperature expansion of the effective potential, it can be expected that the symmetry, which is broken by the condensate, will be restored at sufficiently high temperature.

9.537968

9.636663

9.745532

9.107637

10.230556

9.374268

9.774207

9.338088

9.30528

10.580954

9.114281

9.248554

9.479901

9.131833

9.275093

9.202635

9.186529

8.988266

9.115575

9.386704

9.153847

1611.05920

Ben Michel

William Donnelly, Ben Michel, Aron Wall

Electromagnetic Duality and Entanglement Anomalies

16 pages + appendices

Phys. Rev. D 96, 045008 (2017)

10.1103/PhysRevD.96.045008

null

hep-th gr-qc

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

Duality is an indispensable tool for describing the strong-coupling dynamics of gauge theories. However, its actual realization is often quite subtle: quantities such as the partition function can transform covariantly, with degrees of freedom rearranged in a nonlocal fashion. We study this phenomenon in the context of the electromagnetic duality of abelian $p$-forms. A careful calculation of the duality anomaly on an arbitrary $D$-dimensional manifold shows that the effective actions agree exactly in odd $D$, while in even $D$ they differ by a term proportional to the Euler number. Despite this anomaly, the trace of the stress tensor agrees between the dual theories. We also compute the change in the vacuum entanglement entropy under duality, relating this entanglement anomaly to the duality of an "edge mode" theory in two fewer dimensions. Previous work on this subject has led to conflicting results; we explain and resolve these discrepancies.

[ { "created": "Thu, 17 Nov 2016 22:14:51 GMT", "version": "v1" } ]

2017-08-16

[ [ "Donnelly", "William", "" ], [ "Michel", "Ben", "" ], [ "Wall", "Aron", "" ] ]

Duality is an indispensable tool for describing the strong-coupling dynamics of gauge theories. However, its actual realization is often quite subtle: quantities such as the partition function can transform covariantly, with degrees of freedom rearranged in a nonlocal fashion. We study this phenomenon in the context of the electromagnetic duality of abelian $p$-forms. A careful calculation of the duality anomaly on an arbitrary $D$-dimensional manifold shows that the effective actions agree exactly in odd $D$, while in even $D$ they differ by a term proportional to the Euler number. Despite this anomaly, the trace of the stress tensor agrees between the dual theories. We also compute the change in the vacuum entanglement entropy under duality, relating this entanglement anomaly to the duality of an "edge mode" theory in two fewer dimensions. Previous work on this subject has led to conflicting results; we explain and resolve these discrepancies.

9.271849

8.593458

9.320665

7.722725

8.340848

8.326091

8.081738

7.86025

8.288548

10.661986

7.989622

8.057942

8.936059

8.129881

8.064995

8.122853

8.018512

8.002887

7.996147

8.760086

8.227257

0908.3164

Elisa Manno Miss

E.Manno

Semi-realistic Heterotic Z2 X Z2 Orbifold Models

141 pages, 7 figures, PhD Thesis (Supervisor Prof. A.E.Faraggi)

null

hep-th

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

We consider the heterotic E8 X E8 string theory, which gives rise to four-dimensional Standard-like Models and allows for their SO(10) embedding. We investigate two different schemes of compactification: the free fermionic formulation and the orbifold construction. In the examples presented in the free fermionic formulation we explore the removal of the extra Higgs representations by using the free fermion boundary conditions directly at the string level, rather than in the effective low energy field theory. Moreover, by employing the standard analysis of flat directions we present a quasi-realistic three generation string model in which stringent F- and D- flat solutions do not appear to exist to all orders in the superpotential. We show that, by choosing a non-factorisable compactification lattice, defined by skewing its standard simple roots, we decrease the total number of generations. Finally, the construction of modular invariant partition functions for E8 X E8 orbifold compactifications is presented.

[ { "created": "Fri, 21 Aug 2009 16:27:35 GMT", "version": "v1" } ]

2009-08-24

[ [ "Manno", "E.", "" ] ]

We consider the heterotic E8 X E8 string theory, which gives rise to four-dimensional Standard-like Models and allows for their SO(10) embedding. We investigate two different schemes of compactification: the free fermionic formulation and the orbifold construction. In the examples presented in the free fermionic formulation we explore the removal of the extra Higgs representations by using the free fermion boundary conditions directly at the string level, rather than in the effective low energy field theory. Moreover, by employing the standard analysis of flat directions we present a quasi-realistic three generation string model in which stringent F- and D- flat solutions do not appear to exist to all orders in the superpotential. We show that, by choosing a non-factorisable compactification lattice, defined by skewing its standard simple roots, we decrease the total number of generations. Finally, the construction of modular invariant partition functions for E8 X E8 orbifold compactifications is presented.

12.719668

13.177258

11.756114

11.283603

12.5125

12.200958

13.195265

12.639133

11.629724

13.651278

12.010399

11.928514

12.034431

11.7698

11.725132

11.978668

11.540748

12.051929

11.994652

12.169733

12.125482

1912.09348

Gabi Zafrir

An N=1 Lagrangian for the rank 1 E6 superconformal theory

20 pages

null

10.1007/JHEP12(2020)098

null

hep-th

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

We propose that a certain $4d$ $\mathcal{N}=1$ $SU(4)$ gauge theory flows in the IR to the rank $1$ $\mathcal{N}=2$ strongly coupled SCFT with $E_6$ global symmetry and $25$ free chiral fields. This proposal is tested by comparing various RG invariant quantities, notably, anomalies and the superconformal index. We discuss the generalization to $\mathcal{N}=1$ $SU(2n+2)$ gauge theory models flowing in the IR to the $R_{(2,2n+1)}$ family of strongly coupled SCFTs plus free fields.

[ { "created": "Thu, 19 Dec 2019 16:34:01 GMT", "version": "v1" } ]

2020-12-30

[ [ "Zafrir", "Gabi", "" ] ]

We propose that a certain $4d$ $\mathcal{N}=1$ $SU(4)$ gauge theory flows in the IR to the rank $1$ $\mathcal{N}=2$ strongly coupled SCFT with $E_6$ global symmetry and $25$ free chiral fields. This proposal is tested by comparing various RG invariant quantities, notably, anomalies and the superconformal index. We discuss the generalization to $\mathcal{N}=1$ $SU(2n+2)$ gauge theory models flowing in the IR to the $R_{(2,2n+1)}$ family of strongly coupled SCFTs plus free fields.

5.867968

5.37354

6.673182

5.297787

5.372605

5.771903

4.988396

5.329865

5.118576

7.06655

5.163401

5.595365

6.317503

5.559337

5.419071

5.452511

5.27012

5.293629

5.284261

6.042687

5.421297

1605.00077

Matteo Beccaria

On the large $\Omega$-deformations in the Nekrasov-Shatashvili limit of $\mathcal N=2^{*}$ SYM

30 pages, v2: new appendix, extended acknowledgements

null

10.1007/JHEP07(2016)055

null

hep-th

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

We study the multi-instanton partition functions of the $\Omega$-deformed $\mathcal N =2^{*}$ $SU(2) $ gauge theory in the Nekrasov-Shatashvili (NS) limit. They depend on the deformation parameters $\epsilon_{1}$, the scalar field expectation value $a$, and the hypermultiplet mass $m$. At fixed instanton number $k$, they are rational functions of $\epsilon_{1}, a, m$ and we look for possible regularities that admit a parametrical description in the number of instantons. In each instanton sector, the contribution to the deformed Nekrasov prepotential has poles for "large" deformation parameters. To clarify the properties of these singularities we exploit Bethe/gauge correspondence and examine the special ratios $m/\epsilon_{1}$ at which the associated spectral problem is $n$-gap. At these special points we illustrate several structural simplifications occurring in the partition functions. After discussing various tools to compute the prepotential, we analyze the non-perturbative corrections up to $k=24$ instantons and present various closed expressions for the coefficients of the singular terms. Both the regular and singular parts of the prepotential are resummed over all instantons and compared successfully with the exact prediction from the spectral theory of the Lam\'e equation, showing that the pole singularities are an artifact of the instanton expansion. The analysis is fully worked out in the 1-gap case, but the final pole cancellation is proved for a generic ratio $m/\epsilon_{1}$ relating it to the gap width of the Lam\'e equation.

[ { "created": "Sat, 30 Apr 2016 08:20:35 GMT", "version": "v1" }, { "created": "Sat, 14 May 2016 08:53:31 GMT", "version": "v2" } ]

2016-08-03

[ [ "Beccaria", "Matteo", "" ] ]

We study the multi-instanton partition functions of the $\Omega$-deformed $\mathcal N =2^{*}$ $SU(2) $ gauge theory in the Nekrasov-Shatashvili (NS) limit. They depend on the deformation parameters $\epsilon_{1}$, the scalar field expectation value $a$, and the hypermultiplet mass $m$. At fixed instanton number $k$, they are rational functions of $\epsilon_{1}, a, m$ and we look for possible regularities that admit a parametrical description in the number of instantons. In each instanton sector, the contribution to the deformed Nekrasov prepotential has poles for "large" deformation parameters. To clarify the properties of these singularities we exploit Bethe/gauge correspondence and examine the special ratios $m/\epsilon_{1}$ at which the associated spectral problem is $n$-gap. At these special points we illustrate several structural simplifications occurring in the partition functions. After discussing various tools to compute the prepotential, we analyze the non-perturbative corrections up to $k=24$ instantons and present various closed expressions for the coefficients of the singular terms. Both the regular and singular parts of the prepotential are resummed over all instantons and compared successfully with the exact prediction from the spectral theory of the Lam\'e equation, showing that the pole singularities are an artifact of the instanton expansion. The analysis is fully worked out in the 1-gap case, but the final pole cancellation is proved for a generic ratio $m/\epsilon_{1}$ relating it to the gap width of the Lam\'e equation.

8.46725

9.155244

10.056327

8.890909

9.132495

9.349133

9.502275

8.609885

8.60407

9.762768

8.63507

8.460287

8.930113

8.50805

8.673436

8.570627

8.549725

8.594175

8.415181

8.916454

8.392904

hep-th/9601118

Sudhakar Panda

Dileep P. Jatkar, Sudipta Mukherji and Sudhakar Panda

Rotating Dyonic Black Holes in Heterotic String Theory

harvmac, no figures, version appeared in Phys. Lett. B384

Phys.Lett. B384 (1996) 63-69

10.1016/0370-2693(96)00676-4

MRI-PHYS/04/96

hep-th

null

We study a class of rotating dyonic black holes in the heterotic string theory in four dimension which have left, right independent electric charges but have same magnitude for the left and right magnetic charges. In both left and right sector the electric and the magnetic vectors are orthogonal to each other. The gyromagnetic(electric) ratios are in general found not to have an upper bound.

[ { "created": "Tue, 23 Jan 1996 07:01:36 GMT", "version": "v1" }, { "created": "Mon, 14 Oct 1996 07:27:49 GMT", "version": "v2" } ]

2009-10-30

[ [ "Jatkar", "Dileep P.", "" ], [ "Mukherji", "Sudipta", "" ], [ "Panda", "Sudhakar", "" ] ]

We study a class of rotating dyonic black holes in the heterotic string theory in four dimension which have left, right independent electric charges but have same magnitude for the left and right magnetic charges. In both left and right sector the electric and the magnetic vectors are orthogonal to each other. The gyromagnetic(electric) ratios are in general found not to have an upper bound.

14.799885

11.296854

12.294757

12.712868

12.642746

13.618556

14.270525

13.268718

13.599672

13.032317

12.473133

13.035119

12.475055

12.76834

13.441472

13.471032

12.756911

13.021366

12.929151

14.001344

12.662922

hep-th/0102151

Yihong Gao

Yi-hong Gao, Zhong-xia Yang

Interactions between Dielectric Branes

27 pages, no figures

JHEP 0105:018,2001

10.1088/1126-6708/2001/05/018

null

hep-th

null

Quantum corrections to the energy of D0-branes in a constant RR 4-form background are studied. Using the Born-Oppenheimer approximation, we compute the long-range interaction between two spherical D2-D0 bound states. We extend this calculation to the case where some mass terms are added. For the special value of masses at which the classical energy vanishes, we find complete cancellations of two boson-fermion pairs in the quantum mechanical expression of the zero-point energy, suggesting possible restoration of (partial) supersymmetries. We also briefly discuss the interaction between a dielectric 2-brane and a single D0-brane.

[ { "created": "Thu, 22 Feb 2001 05:24:15 GMT", "version": "v1" } ]

2010-02-03

[ [ "Gao", "Yi-hong", "" ], [ "Yang", "Zhong-xia", "" ] ]

Quantum corrections to the energy of D0-branes in a constant RR 4-form background are studied. Using the Born-Oppenheimer approximation, we compute the long-range interaction between two spherical D2-D0 bound states. We extend this calculation to the case where some mass terms are added. For the special value of masses at which the classical energy vanishes, we find complete cancellations of two boson-fermion pairs in the quantum mechanical expression of the zero-point energy, suggesting possible restoration of (partial) supersymmetries. We also briefly discuss the interaction between a dielectric 2-brane and a single D0-brane.

10.159175

9.444915

10.773386

8.822836

9.762135

9.634683

9.725506

8.804143

9.466381

11.434916

9.398829

9.370082

9.432646

9.249552

9.382616

9.271117

9.750136

9.259732

9.124832

9.718865

9.02437

1105.1776

Ren\'e Meyer

Johanna Erdmenger, Kazuo Ghoroku, Rene Meyer

Holographic (De)confinement Transitions in Cosmological Backgrounds

31 pages, 5 figures, v2: Reference added

Phys.Rev.D84:026004,2011

10.1103/PhysRevD.84.026004

MPI-2011-20, FIT-HE-11-01, CCTP-2011-04

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

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

For type IIB supergravity with a running axio-dilaton, we construct bulk solutions which admit a cosmological background metric of Friedmann-Robertson-Walker type. These solutions include both a dark radiation term in the bulk as well as a four-dimensional (boundary) cosmological constant, while gravity at the boundary remains non-dynamical. We holographically calculate the stress-energy tensor, showing that it consists of two contributions: The first one, generated by the dark radiation term, leads to the thermal fluid of N = 4 SYM theory, while the second, the conformal anomaly, originates from the boundary cosmological constant. Conservation of the boundary stress tensor implies that the boundary cosmological constant is time-independent, such that there is no exchange between the two stress-tensor contributions. We then study (de)confinement by evaluating the Wilson loop in these backgrounds. While the dark radiation term favours deconfinement, a negative cosmological constant drives the system into a confined phase. When both contributions are present, we find an oscillating universe with negative cosmological constant which undergoes periodic (de)confinement transitions as the scale of three space expands and re-contracts.

[ { "created": "Mon, 9 May 2011 20:00:07 GMT", "version": "v1" }, { "created": "Wed, 18 May 2011 11:03:33 GMT", "version": "v2" } ]

2011-08-09

[ [ "Erdmenger", "Johanna", "" ], [ "Ghoroku", "Kazuo", "" ], [ "Meyer", "Rene", "" ] ]

For type IIB supergravity with a running axio-dilaton, we construct bulk solutions which admit a cosmological background metric of Friedmann-Robertson-Walker type. These solutions include both a dark radiation term in the bulk as well as a four-dimensional (boundary) cosmological constant, while gravity at the boundary remains non-dynamical. We holographically calculate the stress-energy tensor, showing that it consists of two contributions: The first one, generated by the dark radiation term, leads to the thermal fluid of N = 4 SYM theory, while the second, the conformal anomaly, originates from the boundary cosmological constant. Conservation of the boundary stress tensor implies that the boundary cosmological constant is time-independent, such that there is no exchange between the two stress-tensor contributions. We then study (de)confinement by evaluating the Wilson loop in these backgrounds. While the dark radiation term favours deconfinement, a negative cosmological constant drives the system into a confined phase. When both contributions are present, we find an oscillating universe with negative cosmological constant which undergoes periodic (de)confinement transitions as the scale of three space expands and re-contracts.

7.255965

7.465204

8.10361

7.104358

7.54654

7.163127

7.56921

7.205577

7.239616

8.519676

7.003725

7.101166

7.385608

6.833953

6.945261

7.061662

7.022147

6.918211

7.014176

7.061631

6.783659

hep-th/0003262

Adrian Campbell-Smith

A. Campbell-Smith and N.E. Mavromatos

D-Brane Recoil and Supersymmetry Obstruction

9 pages, no figures

Phys.Lett. B488 (2000) 199-206

10.1016/S0370-2693(00)00839-X

null

hep-th gr-qc hep-ph

null

We discuss a model in which our universe is pictured as a recoiling Dirichlet brane: we find that a proper treatment of the recoil leads naturally to supersymmetry obstruction on the four-dimensional world. An essential feature of our approach is the fact that the underlying worldsheet sigma model is non-critical, and the Liouville mode plays the role of the target time. Also, the extra bulk dimensions are viewed as sigma model couplings, and as such have to be averaged by appropriate summation over worldsheet genera. The recoiling brane is in an excited state rather than its ground state, to which it relaxes asymptotically in time, restoring supersymmetry. We also find that the excitation energy, which is considered as the observable effective cosmological `constant' on the brane, is naturally small and can accommodate upper bounds from observations.

[ { "created": "Tue, 28 Mar 2000 15:10:25 GMT", "version": "v1" } ]

2009-10-31

[ [ "Campbell-Smith", "A.", "" ], [ "Mavromatos", "N. E.", "" ] ]

We discuss a model in which our universe is pictured as a recoiling Dirichlet brane: we find that a proper treatment of the recoil leads naturally to supersymmetry obstruction on the four-dimensional world. An essential feature of our approach is the fact that the underlying worldsheet sigma model is non-critical, and the Liouville mode plays the role of the target time. Also, the extra bulk dimensions are viewed as sigma model couplings, and as such have to be averaged by appropriate summation over worldsheet genera. The recoiling brane is in an excited state rather than its ground state, to which it relaxes asymptotically in time, restoring supersymmetry. We also find that the excitation energy, which is considered as the observable effective cosmological `constant' on the brane, is naturally small and can accommodate upper bounds from observations.

12.778851

12.581162

13.314302

12.032887

11.975514

11.738027

12.137635

12.010645

11.84562

14.93213

11.664376

12.461252

12.76884

12.632544

12.342756

12.153828

12.310553

12.318362

12.275886

13.266629

12.418194

1012.2280

Emilio Elizalde

E. Elizalde, S. Nojiri, S.D. Odintsov, L. Sebastiani, S. Zerbini

Non-singular exponential gravity: a simple theory for early- and late-time accelerated expansion

22 pages, 10 figures, version to appear in PRD

Phys.Rev.D83:086006,2011

10.1103/PhysRevD.83.086006

null

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

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

A theory of exponential modified gravity which explains both early-time inflation and late-time acceleration, in a unified way, is proposed. The theory successfully passes the local tests and fulfills the cosmological bounds and, remarkably, the corresponding inflationary era is proven to be unstable. Numerical investigation of its late-time evolution leads to the conclusion that the corresponding dark energy epoch is not distinguishable from the one for the $\Lambda$CDM model. Several versions of this exponential gravity, sharing similar properties, are formulated. It is also shown that this theory is non-singular, being protected against the formation of finite-time future singularities. As a result, the corresponding future universe evolution asymptotically tends, in a smooth way, to de Sitter space, which turns out to be the final attractor of the system.

[ { "created": "Fri, 10 Dec 2010 14:32:45 GMT", "version": "v1" }, { "created": "Thu, 24 Mar 2011 12:39:07 GMT", "version": "v2" } ]

2011-04-22

[ [ "Elizalde", "E.", "" ], [ "Nojiri", "S.", "" ], [ "Odintsov", "S. D.", "" ], [ "Sebastiani", "L.", "" ], [ "Zerbini", "S.", "" ] ]

A theory of exponential modified gravity which explains both early-time inflation and late-time acceleration, in a unified way, is proposed. The theory successfully passes the local tests and fulfills the cosmological bounds and, remarkably, the corresponding inflationary era is proven to be unstable. Numerical investigation of its late-time evolution leads to the conclusion that the corresponding dark energy epoch is not distinguishable from the one for the $\Lambda$CDM model. Several versions of this exponential gravity, sharing similar properties, are formulated. It is also shown that this theory is non-singular, being protected against the formation of finite-time future singularities. As a result, the corresponding future universe evolution asymptotically tends, in a smooth way, to de Sitter space, which turns out to be the final attractor of the system.

10.200703

10.097405

9.574838

9.054744

9.946208

9.942898

9.735546

8.867666

9.614047

10.661938

9.886793

9.550197

9.586218

9.608736

9.679668

9.691574

9.612778

9.495586

9.610782

9.633255

9.709795

2306.04759

Alessandra Braga

Alessandra N. Braga, Wagner P. Pires, Jeferson Danilo L. Silva, Danilo T. Alves, Van S\'ergio Alves

Renormalization of the band gap in 2D materials near an interface between two dielectrics

7 pages, 9 figures

null

hep-th cond-mat.mtrl-sci

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

We investigate how the renormalization of the band gap in a planar 2D material is affected by the consideration of two nondispersive semi-infinite dielectrics, with dielectric constants $\epsilon_1$ and $\epsilon_2$, separated by a planar interface. Using the pseudo quantum electrodynamics to model the Coulomb interaction between electrons, we show how the renormalization of the band gap depends on $\epsilon_1$ and $\epsilon_2$, and also of the distance between the 2D material and the interface between the two dielectrics. In the appropriate limits, our results reproduce those found in the literature for the band gap renormalization when a single dielectric medium is considered.

[ { "created": "Wed, 7 Jun 2023 20:17:13 GMT", "version": "v1" } ]

2023-06-09

[ [ "Braga", "Alessandra N.", "" ], [ "Pires", "Wagner P.", "" ], [ "Silva", "Jeferson Danilo L.", "" ], [ "Alves", "Danilo T.", "" ], [ "Alves", "Van Sérgio", "" ] ]

We investigate how the renormalization of the band gap in a planar 2D material is affected by the consideration of two nondispersive semi-infinite dielectrics, with dielectric constants $\epsilon_1$ and $\epsilon_2$, separated by a planar interface. Using the pseudo quantum electrodynamics to model the Coulomb interaction between electrons, we show how the renormalization of the band gap depends on $\epsilon_1$ and $\epsilon_2$, and also of the distance between the 2D material and the interface between the two dielectrics. In the appropriate limits, our results reproduce those found in the literature for the band gap renormalization when a single dielectric medium is considered.

5.022241

4.933468

5.328429

4.782904

4.748584

4.87839

4.730386

4.774532

4.711384

5.370171

4.872369

4.796219

5.203566

4.9401

4.867019

4.917025

4.899005

4.777812

4.987184

4.888043

4.76301

1210.4649

Olindo Corradini

Fiorenzo Bastianelli, Roberto Bonezzi, Olindo Corradini, Emanuele Latini

Effective action for higher spin fields on (A)dS backgrounds

30 pages, typos corrected

JHEP 1212 (2012) 113

10.1007/JHEP12(2012)113

null

hep-th

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

We study the one loop effective action for a class of higher spin fields by using a first-quantized description. The latter is obtained by considering spinning particles, characterized by an extended local supersymmetry on the worldline, that can propagate consistently on conformally flat spaces. The gauge fixing procedure for calculating the worldline path integral on a loop is delicate, as the gauge algebra contains nontrivial structure functions. Restricting the analysis on (A)dS backgrounds simplifies the gauge fixing procedure, and allows us to produce a useful representation of the one loop effective action. In particular, we extract the first few heat kernel coefficients for arbitrary even spacetime dimension D and for spin S identified by a curvature tensor with the symmetries of a rectangular Young tableau of D/2 rows and [S] columns.

[ { "created": "Wed, 17 Oct 2012 07:32:04 GMT", "version": "v1" }, { "created": "Thu, 9 Apr 2015 07:50:48 GMT", "version": "v2" } ]

2015-04-10

[ [ "Bastianelli", "Fiorenzo", "" ], [ "Bonezzi", "Roberto", "" ], [ "Corradini", "Olindo", "" ], [ "Latini", "Emanuele", "" ] ]

We study the one loop effective action for a class of higher spin fields by using a first-quantized description. The latter is obtained by considering spinning particles, characterized by an extended local supersymmetry on the worldline, that can propagate consistently on conformally flat spaces. The gauge fixing procedure for calculating the worldline path integral on a loop is delicate, as the gauge algebra contains nontrivial structure functions. Restricting the analysis on (A)dS backgrounds simplifies the gauge fixing procedure, and allows us to produce a useful representation of the one loop effective action. In particular, we extract the first few heat kernel coefficients for arbitrary even spacetime dimension D and for spin S identified by a curvature tensor with the symmetries of a rectangular Young tableau of D/2 rows and [S] columns.

11.846416

11.005413

12.873801

10.683645

11.06687

10.576535

10.98651

10.886457

11.032201

14.50561

11.039469

10.709852

11.79275

10.94307

11.00362

11.084998

11.361996

10.918303

11.043533

11.970118

10.70223

hep-th/9409088

Leon Takhtajan

Topics in Quantum Geometry of Riemann Surfaces: Two-Dimensional Quantum Gravity

42 pages. Equation (2.6) have been corrected and explained

null

hep-th math.QA

null

Lectures given at International School of Physics ``Enrico Fermi'', Varenna, Villa Monastero, June 28-July 7 1994

[ { "created": "Thu, 15 Sep 1994 22:09:36 GMT", "version": "v1" }, { "created": "Mon, 19 Sep 1994 20:19:16 GMT", "version": "v2" } ]

2008-02-03

[ [ "Takhtajan", "Leon", "" ] ]

Lectures given at International School of Physics ``Enrico Fermi'', Varenna, Villa Monastero, June 28-July 7 1994

5.335219

5.916264

4.728392

4.134505

5.827159

4.159377

6.387395

4.453978

4.228196

5.439183

4.151932

3.989691

3.947128

3.874533

4.123215

3.881852

3.668868

4.050627

3.579389

4.043693

4.13876

1705.06983

John Gracey

J.A. Gracey and R.M. Simms

Higher dimensional higher derivative $\phi^4$ theory

30 latex pages, minor typos corrected

Phys. Rev. D 96, 025022 (2017)

10.1103/PhysRevD.96.025022

LTH 1134

hep-th

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

We construct several towers of scalar quantum field theories with an $O(N)$ symmetry which have higher derivative kinetic terms. The Lagrangians in each tower are connected by lying in the same universality class at the $d$-dimensional Wilson-Fisher fixed point. Moreover the universal theory is studied using the large $N$ expansion and we determine $d$-dimensional critical exponents to $O(1/N^2)$. We show that these new universality classes emerge naturally as solutions to the linear relation of the dimensions of the fields deduced from the underlying force-matter interaction of the universal critical theory. To substantiate the equivalence of the Lagrangians in each tower we renormalize each to several loop orders and show that the renormalization group functions are consistent with the large $N$ critical exponents. While we focus on the first two new towers of theories and renormalize the respective Lagrangians to $16$ and $18$ dimensions there are an infinite number of such towers. We also briefly discuss the conformal windows and the extension of the ideas to theories with spin-$\frac{1}{2}$ and spin-$1$ fields as well as the idea of lower dimension completeness.

[ { "created": "Fri, 19 May 2017 13:39:31 GMT", "version": "v1" }, { "created": "Wed, 12 Jul 2017 11:35:25 GMT", "version": "v2" } ]

2017-08-02

[ [ "Gracey", "J. A.", "" ], [ "Simms", "R. M.", "" ] ]

We construct several towers of scalar quantum field theories with an $O(N)$ symmetry which have higher derivative kinetic terms. The Lagrangians in each tower are connected by lying in the same universality class at the $d$-dimensional Wilson-Fisher fixed point. Moreover the universal theory is studied using the large $N$ expansion and we determine $d$-dimensional critical exponents to $O(1/N^2)$. We show that these new universality classes emerge naturally as solutions to the linear relation of the dimensions of the fields deduced from the underlying force-matter interaction of the universal critical theory. To substantiate the equivalence of the Lagrangians in each tower we renormalize each to several loop orders and show that the renormalization group functions are consistent with the large $N$ critical exponents. While we focus on the first two new towers of theories and renormalize the respective Lagrangians to $16$ and $18$ dimensions there are an infinite number of such towers. We also briefly discuss the conformal windows and the extension of the ideas to theories with spin-$\frac{1}{2}$ and spin-$1$ fields as well as the idea of lower dimension completeness.

10.522011

10.699615

10.781015

9.507888

10.47508

10.4008

11.184856

10.533246

9.899055

11.938882

9.632519

10.379134

10.183335

10.039984

9.924577

9.814402

10.02032

9.768826

9.97033

10.327662

9.792912

0801.4463

Romuald A. Janik

Michal P. Heller, Romuald A. Janik and Tomasz Lukowski

A new derivation of Luscher F-term and fluctuations around the giant magnon

15 pages, no figures; v2: added assumption on diagonal scattering and a section on generalizations; v3: minor changes, version accepted for publication in JHEP

JHEP 0806:036,2008

10.1088/1126-6708/2008/06/036

null

hep-th

null

In this paper we give a new derivation of the generalized Luscher F-term formula from a summation over quadratic fluctuations around a given soliton. The result is very general providing that S-matrix is diagonal and is valid for arbitrary dispersion relation. We then apply this formalism to compute the leading finite size corrections to the giant magnon dispersion relation coming from quantum fluctuations.

[ { "created": "Tue, 29 Jan 2008 10:15:36 GMT", "version": "v1" }, { "created": "Thu, 6 Mar 2008 18:58:43 GMT", "version": "v2" }, { "created": "Fri, 23 May 2008 16:23:52 GMT", "version": "v3" } ]

2014-11-18

[ [ "Heller", "Michal P.", "" ], [ "Janik", "Romuald A.", "" ], [ "Lukowski", "Tomasz", "" ] ]

In this paper we give a new derivation of the generalized Luscher F-term formula from a summation over quadratic fluctuations around a given soliton. The result is very general providing that S-matrix is diagonal and is valid for arbitrary dispersion relation. We then apply this formalism to compute the leading finite size corrections to the giant magnon dispersion relation coming from quantum fluctuations.

15.418393

10.045395

14.512871

10.500221

10.395715

10.11233

12.183752

11.338942

10.423685

17.07789

10.557269

11.190914

12.423137

11.170282

10.924996

10.731875

10.38987

10.612881

11.145593

13.405547

10.680177

hep-th/0202115

Dimitry Leites

Dimitry Leites, Pavel Grozman (University of Stockholm)

An unconventional supergravity

5 p., Latex

S. Duplij and J. Wess (eds.) Noncommutative structures in mathematics and physics. Proc. NATO Advanced Research Workshop, Kiev, 2000. Kluwer, 41--48

null

hep-th

null

We introduce and completely describe the analogues of the Riemann curvature tensor for the curved supergrassmannian of the passing through the origin (0|2)-dimensional subsupermanifolds in the (0|4)-dimensional supermanifold with the preserved volume form. The underlying manifold of this supergrassmannian is the conventional Penrose's complexified and compactified version of the Minkowski space, i.e., the Grassmannian of 2-dimensional subspaces in the 4-dimensional space. The result provides with yet another counterexample to Coleman-Mandula's theorem.

[ { "created": "Mon, 18 Feb 2002 18:57:31 GMT", "version": "v1" } ]

2007-05-23

[ [ "Leites", "Dimitry", "", "University of Stockholm" ], [ "Grozman", "Pavel", "", "University of Stockholm" ] ]

We introduce and completely describe the analogues of the Riemann curvature tensor for the curved supergrassmannian of the passing through the origin (0|2)-dimensional subsupermanifolds in the (0|4)-dimensional supermanifold with the preserved volume form. The underlying manifold of this supergrassmannian is the conventional Penrose's complexified and compactified version of the Minkowski space, i.e., the Grassmannian of 2-dimensional subspaces in the 4-dimensional space. The result provides with yet another counterexample to Coleman-Mandula's theorem.

10.195471

11.783786

11.848173

10.234779

10.495791

12.06953

12.347834

11.013035

10.600329

12.442253

10.678952

10.306218

10.437331

9.877686

10.346148

10.502507

10.463532

10.215959

10.031179

10.762733

10.105014

hep-th/9710086

Sergei Ketov

Sergei V. Ketov (ITP, University of Hannover)

Do the critical (2,2) strings know about a supergravity in 2+10 dimensions ?

Talk given at the XIIth International Congress of Mathematical Physics, July 13-19, 1997, in Brisbane, Australia, and the Second International Conference on Quantum Field Theory and Gravity, July 29 - August 2, 1997, in Tomsk, Russia; 8 pages, LaTeX

null

ITP-UH-27/97

hep-th

null

The effective field equations of motion for a mixed theory of open and closed (2,2) world-sheet supersymmetric critical strings are shown to be integrable in the case of an abelian gauge group. The Born-Infeld-type effective action in 2+2 dimensions is intrinsically non-covariant, and it can be interpreted as (a part of) the F-brane world-volume action. The covariant F-brane action is unambiguously restored by its maximal (N=8) world-volume supersymmetry. The 32 supercharges, the local SO(2,1) x SO(8) and rigid SL(2,R) symmetries of the F-brane action naturally suggest its interpretation as the hypothetical (non-covariant) self-dual `heterotic' (1,0) supergravity in 2+10 dimensions.

[ { "created": "Fri, 10 Oct 1997 11:08:13 GMT", "version": "v1" } ]

2007-05-23

[ [ "Ketov", "Sergei V.", "", "ITP, University of Hannover" ] ]

The effective field equations of motion for a mixed theory of open and closed (2,2) world-sheet supersymmetric critical strings are shown to be integrable in the case of an abelian gauge group. The Born-Infeld-type effective action in 2+2 dimensions is intrinsically non-covariant, and it can be interpreted as (a part of) the F-brane world-volume action. The covariant F-brane action is unambiguously restored by its maximal (N=8) world-volume supersymmetry. The 32 supercharges, the local SO(2,1) x SO(8) and rigid SL(2,R) symmetries of the F-brane action naturally suggest its interpretation as the hypothetical (non-covariant) self-dual `heterotic' (1,0) supergravity in 2+10 dimensions.

9.492505

8.498693

10.956894

8.427384

8.210345

8.673936

8.174415

8.661271

8.131201

10.954268

8.922959

8.860226

9.640061

9.089795

8.747178

8.862243

8.739145

8.848218

8.780564

9.699965

8.713387

1504.06336

Nabil Iqbal

Dalit Engelhardt, Ben Freivogel, Nabil Iqbal

Electric fields and quantum wormholes

7 pages + appendix and refs, 6 figures; v2: references added

Phys. Rev. D 92, 064050 (2015)

10.1103/PhysRevD.92.064050

null

hep-th

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

Electric fields can thread a classical Einstein-Rosen bridge. Maldacena and Susskind have recently suggested that in a theory of dynamical gravity the entanglement of ordinary perturbative quanta should be viewed as creating a quantum version of an Einstein-Rosen bridge between the particles, or a "quantum wormhole". We demonstrate within low-energy effective field theory that there is a precise sense in which electric fields can also thread such quantum wormholes. We define a non-perturbative "wormhole susceptibility" that measures the ease of passing an electric field through any sort of wormhole. The susceptibility of a quantum wormhole is suppressed by powers of the U(1) gauge coupling relative to that for a classical wormhole but can be made numerically equal with a sufficiently large amount of entangled matter.

[ { "created": "Thu, 23 Apr 2015 20:35:44 GMT", "version": "v1" }, { "created": "Sun, 24 May 2015 21:07:10 GMT", "version": "v2" } ]

2015-10-07

[ [ "Engelhardt", "Dalit", "" ], [ "Freivogel", "Ben", "" ], [ "Iqbal", "Nabil", "" ] ]

Electric fields can thread a classical Einstein-Rosen bridge. Maldacena and Susskind have recently suggested that in a theory of dynamical gravity the entanglement of ordinary perturbative quanta should be viewed as creating a quantum version of an Einstein-Rosen bridge between the particles, or a "quantum wormhole". We demonstrate within low-energy effective field theory that there is a precise sense in which electric fields can also thread such quantum wormholes. We define a non-perturbative "wormhole susceptibility" that measures the ease of passing an electric field through any sort of wormhole. The susceptibility of a quantum wormhole is suppressed by powers of the U(1) gauge coupling relative to that for a classical wormhole but can be made numerically equal with a sufficiently large amount of entangled matter.

8.941675

9.087269

9.315218

8.390137

8.565016

8.893574

8.907268

8.821362

8.743527

9.4153

8.490046

8.100786

8.445267

8.206741

8.267558

8.351557

8.231397

8.24742

8.490839

8.439722

8.801765

2209.15540

Achilleas Passias

Christopher Couzens, Niall T. Macpherson, Achilleas Passias

A plethora of Type IIA embeddings for $d=5$ minimal supergravity

null

10.1007/JHEP01(2023)047

null

hep-th

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

We construct multiple embeddings of all solutions of $d=5$ minimal (un)gauged supergravity into massive Type IIA supergravity. The internal spaces and warpings of such embeddings are the same as those of the $\mathcal{N}=1$ supersymmetric (Mink$_5$) AdS$_5$ vacua, with the slight modification that the U(1) R-symmetry direction becomes fibered over the external space by the $d=5$ gauge field. In addition the fluxes are appropriately modified. There are many distinct types of the aforementioned internal spaces and as such many different embeddings of the $d=5$ supergravity. As examples of our setup we provide new solutions dual to six-dimensional, $\mathcal{N}=(1,0)$ SCFTs compactified on the product of a constant curvature Riemann surface and a spindle. We also provide a multitude of massive Type IIA embeddings for rotating, asymptotically AdS$_5$ black hole solutions.

[ { "created": "Fri, 30 Sep 2022 15:41:50 GMT", "version": "v1" }, { "created": "Mon, 31 Oct 2022 08:52:13 GMT", "version": "v2" }, { "created": "Tue, 17 Jan 2023 08:35:58 GMT", "version": "v3" } ]

2023-02-01

[ [ "Couzens", "Christopher", "" ], [ "Macpherson", "Niall T.", "" ], [ "Passias", "Achilleas", "" ] ]

We construct multiple embeddings of all solutions of $d=5$ minimal (un)gauged supergravity into massive Type IIA supergravity. The internal spaces and warpings of such embeddings are the same as those of the $\mathcal{N}=1$ supersymmetric (Mink$_5$) AdS$_5$ vacua, with the slight modification that the U(1) R-symmetry direction becomes fibered over the external space by the $d=5$ gauge field. In addition the fluxes are appropriately modified. There are many distinct types of the aforementioned internal spaces and as such many different embeddings of the $d=5$ supergravity. As examples of our setup we provide new solutions dual to six-dimensional, $\mathcal{N}=(1,0)$ SCFTs compactified on the product of a constant curvature Riemann surface and a spindle. We also provide a multitude of massive Type IIA embeddings for rotating, asymptotically AdS$_5$ black hole solutions.

8.71052

7.971776

9.781327

7.29856

7.81523

8.26642

8.374988

7.608911

7.213111

9.99427

7.342987

7.652945

8.616518

7.77233

7.911648

7.996217

8.095316

8.127059

8.136658

8.29748

7.98686

2205.04996

Gabriel Menezes

Leading singularities in higher-derivative Yang-Mills theory and quadratic gravity

28 pages, 1 figure. Contribution to special issue "Probing the Quantum Space-Time" of Universe; v.2: Some text modifications, typos and inaccurate numerical factors fixed and references added. Published version

null

10.3390/universe8060326

null

hep-th gr-qc hep-ph

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

In this work we explore general leading singularities of one-loop amplitudes in higher-derivative Yang-Mills and quadratic gravity. These theories are known to possess propagators which contain quadratic and quartic momentum dependence, which leads to the presence of an unstable ghostlike resonance. However, unitarity cuts are not to be taken through unstable particles and therefore unitarity is still satisfied. On the other hand, this could engender issues when calculating leading singularities which are generalizations of unitarity cuts. Nevertheless, we will show with explicit examples how leading singularities are still well defined and accordingly they are able to capture relevant information on the analytic structure of amplitudes in such higher-derivative theories. We discuss some simple one-loop amplitudes which clarify these features.

[ { "created": "Tue, 10 May 2022 16:07:53 GMT", "version": "v1" }, { "created": "Tue, 14 Jun 2022 16:38:08 GMT", "version": "v2" } ]

2022-06-15

[ [ "Menezes", "Gabriel", "" ] ]

In this work we explore general leading singularities of one-loop amplitudes in higher-derivative Yang-Mills and quadratic gravity. These theories are known to possess propagators which contain quadratic and quartic momentum dependence, which leads to the presence of an unstable ghostlike resonance. However, unitarity cuts are not to be taken through unstable particles and therefore unitarity is still satisfied. On the other hand, this could engender issues when calculating leading singularities which are generalizations of unitarity cuts. Nevertheless, we will show with explicit examples how leading singularities are still well defined and accordingly they are able to capture relevant information on the analytic structure of amplitudes in such higher-derivative theories. We discuss some simple one-loop amplitudes which clarify these features.

12.552141

13.491323

13.386792

11.640343

11.965554

12.180911

12.738633

12.808746

11.882185

13.723888

11.455284

11.395796

11.596257

11.070903

11.224212

11.287362

11.106217

11.280334

11.372285

11.712656

11.457885

1505.00406

Simon Moolman

Non-commutative Gravity and the Einstein-Van der Waals Equation of State

22 pages, 5 figures; Corrected Typos

null

hep-th

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

A calculation by Jacobson [1] strongly implies that the field equations which describe gravity are emergent phenomena. In this paper, the method is extended to the case of a non-commutative spacetime. By making use of a non-commutative version of the Raychaudhuri equation, a new set of non-commutative Einstein equations is derived. The results demonstrate that it is possible to use spacetime thermodynamics to work with non-commutative gravity without the need to vary a non-commutative action.

[ { "created": "Sun, 3 May 2015 09:04:23 GMT", "version": "v1" }, { "created": "Wed, 20 May 2015 16:52:02 GMT", "version": "v2" } ]

2015-05-21

[ [ "Moolman", "Simon", "" ] ]

A calculation by Jacobson [1] strongly implies that the field equations which describe gravity are emergent phenomena. In this paper, the method is extended to the case of a non-commutative spacetime. By making use of a non-commutative version of the Raychaudhuri equation, a new set of non-commutative Einstein equations is derived. The results demonstrate that it is possible to use spacetime thermodynamics to work with non-commutative gravity without the need to vary a non-commutative action.

8.756775

7.787544

6.841063

7.591432

7.195895

7.536886

7.449076

7.331774

7.374138

7.643038

7.498643

7.274189

6.780918

6.599188

6.778157

6.833768

6.980383

6.879276

6.996915

6.816101

6.993501

1110.4850

Alberto S. Cattaneo

Francesco Bonechi, Alberto S. Cattaneo and Pavel Mnev

The Poisson sigma model on closed surfaces

32 pages; references added

J. High Energ. Phys. 2012, 99 (2012)

10.1007/JHEP01(2012)099

null

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

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

Using methods of formal geometry, the Poisson sigma model on a closed surface is studied in perturbation theory. The effective action, as a function on vacua, is shown to have no quantum corrections if the surface is a torus or if the Poisson structure is regular and unimodular (e.g., symplectic). In the case of a Kahler structure or of a trivial Poisson structure, the partition function on the torus is shown to be the Euler characteristic of the target; some evidence is given for this to happen more generally. The methods of formal geometry introduced in this paper might be applicable to other sigma models, at least of the AKSZ type.

[ { "created": "Fri, 21 Oct 2011 17:32:52 GMT", "version": "v1" }, { "created": "Tue, 22 Nov 2011 12:51:36 GMT", "version": "v2" }, { "created": "Thu, 24 Nov 2011 13:28:43 GMT", "version": "v3" }, { "created": "Fri, 20 Jan 2012 22:58:19 GMT", "version": "v4" } ]

2020-02-03

[ [ "Bonechi", "Francesco", "" ], [ "Cattaneo", "Alberto S.", "" ], [ "Mnev", "Pavel", "" ] ]

Using methods of formal geometry, the Poisson sigma model on a closed surface is studied in perturbation theory. The effective action, as a function on vacua, is shown to have no quantum corrections if the surface is a torus or if the Poisson structure is regular and unimodular (e.g., symplectic). In the case of a Kahler structure or of a trivial Poisson structure, the partition function on the torus is shown to be the Euler characteristic of the target; some evidence is given for this to happen more generally. The methods of formal geometry introduced in this paper might be applicable to other sigma models, at least of the AKSZ type.

8.578757

9.068815

9.628671

7.533473

8.487243

8.793851

8.041719

8.181276

7.721391

10.125059

8.416977

8.003802

8.662188

7.937738

7.823156

7.92965

8.186617

8.086382

8.055507

8.503841

8.120768

hep-th/0302007

Paul H. Frampton

Stability Issues for w < -1 Dark Energy

9 pages LaTeX. Significantly rewritten (including abstract)

Mod.Phys.Lett.A19:801,2004

10.1142/S0217732304013866

null

hep-th

null

Precision cosmological data hint that a dark energy with equation of state $w = P/\rho < -1$ and hence dubious stability is viable. Here we discuss for any $w$ nucleation from $\Lambda > 0$ to $\Lambda = 0$ in a first-order phase transition. The critical radius is argued to be at least of galactic size and the corresponding nucleation rate is glacial, thus underwriting the dark energy's stability and rendering remote any microscopic effect.

[ { "created": "Sat, 1 Feb 2003 20:32:57 GMT", "version": "v1" }, { "created": "Fri, 7 Feb 2003 15:04:46 GMT", "version": "v2" }, { "created": "Mon, 28 Apr 2003 22:00:54 GMT", "version": "v3" } ]

2009-11-10

[ [ "Frampton", "Paul H.", "" ] ]

Precision cosmological data hint that a dark energy with equation of state $w = P/\rho < -1$ and hence dubious stability is viable. Here we discuss for any $w$ nucleation from $\Lambda > 0$ to $\Lambda = 0$ in a first-order phase transition. The critical radius is argued to be at least of galactic size and the corresponding nucleation rate is glacial, thus underwriting the dark energy's stability and rendering remote any microscopic effect.

18.336399

23.260761

17.131828

17.617861

20.322338

22.124928

22.192032

17.698473

19.271797

17.375362

18.221079

17.038355

17.146544

16.767185

17.373232

18.315548

17.383789

16.472645

17.892736

16.980145

16.931334

2304.06755

Stefanos Robert Kousvos

Alexander Bednyakov, Johan Henriksson, and Stefanos R. Kousvos

Anomalous Dimensions in Hypercubic Theories

63 pages, one ancillary data file, v2: typos corrected

null

10.1007/JHEP11(2023)051

null

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

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

We perform a comprehensive perturbative study of the operator spectrum in multi-scalar theories with hypercubic global symmetry. This includes working out symmetry representations and their corresponding tensor structures. These structures are then used to compute the anomalous dimensions of scalar operators with up to four fields and arbitrary representations to six-loop order. Moreover, we determine one-loop anomalous dimensions for a large number of low-lying operators in the spectrum which include more powers of the fundamental field and/or insertions of derivatives. As an aside we show how projectors used in the conformal bootstrap can be conveniently reused in computations of anomalous dimensions. The results of our study are of use to the conformal bootstrap. They also illuminate features of conformal perturbation theory and the large $n$ expansion. Our results may be of interest for various crossover phenomena in statistical field theory. In total, we compute the scaling dimension of more than 300 operators, of which 16 are computed to six-loops. Our analysis is exhaustive with respect to group theory up to rank 4 for any number of flavours $n$, and also exhaustive with respect to which representations exist for $n \leq 4$.

[ { "created": "Thu, 13 Apr 2023 18:00:14 GMT", "version": "v1" }, { "created": "Thu, 21 Mar 2024 14:56:15 GMT", "version": "v2" } ]

2024-03-22

[ [ "Bednyakov", "Alexander", "" ], [ "Henriksson", "Johan", "" ], [ "Kousvos", "Stefanos R.", "" ] ]

We perform a comprehensive perturbative study of the operator spectrum in multi-scalar theories with hypercubic global symmetry. This includes working out symmetry representations and their corresponding tensor structures. These structures are then used to compute the anomalous dimensions of scalar operators with up to four fields and arbitrary representations to six-loop order. Moreover, we determine one-loop anomalous dimensions for a large number of low-lying operators in the spectrum which include more powers of the fundamental field and/or insertions of derivatives. As an aside we show how projectors used in the conformal bootstrap can be conveniently reused in computations of anomalous dimensions. The results of our study are of use to the conformal bootstrap. They also illuminate features of conformal perturbation theory and the large $n$ expansion. Our results may be of interest for various crossover phenomena in statistical field theory. In total, we compute the scaling dimension of more than 300 operators, of which 16 are computed to six-loops. Our analysis is exhaustive with respect to group theory up to rank 4 for any number of flavours $n$, and also exhaustive with respect to which representations exist for $n \leq 4$.

11.189839

11.21067

12.066738

10.519219

11.279861

11.579297

11.327164

10.988952

11.055126

12.56595

10.632095

10.530693

10.91862

10.344209

10.432323

10.454458

10.482596

10.574548

10.416121

10.999995

10.62706

1809.01165

Bogdan Stoica

Building Archimedean Space

null

BRX-TH-6329, Brown-HET-1763

hep-th quant-ph

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

I propose that physical theories defined over finite places (including $p$-adic fields) can be used to construct conventional theories over the reals, or conversely, that certain theories over the reals "decompose" over the finite places, and that this decomposition applies to quantum mechanics, field theory, gravity, and string theory, in both Euclidean and Lorentzian signatures. I present two examples of the decomposition: quantum mechanics of a free particle, and Euclidean two-dimensional Einstein gravity. For the free particle, the finite place theory is the usual free particle $p$-adic quantum mechanics, with the Hamiltonian obtained from the real one by replacing the usual derivatives with Vladimirov derivatives, and numerical coefficients with $p$-adic norms. For Euclidean two-dimensional gravity, the finite place objects mimicking the role of the spacetime are $\mathrm{SL}(\mathbb{Q}_p)$ Bruhat-Tits trees. I furthermore propose quadratic extension Bruhat-Tits trees as the finite place objects into which Lorentzian $\mathrm{AdS}_2$ decomposes, and Bruhat-Tits buildings as a natural generalization to higher dimensions, with the same symmetry group on the finite and real sides for the manifolds and buildings corresponding to the vacuum state.

[ { "created": "Tue, 4 Sep 2018 18:00:20 GMT", "version": "v1" }, { "created": "Wed, 29 Sep 2021 14:40:45 GMT", "version": "v2" } ]

2021-09-30

[ [ "Stoica", "Bogdan", "" ] ]

I propose that physical theories defined over finite places (including $p$-adic fields) can be used to construct conventional theories over the reals, or conversely, that certain theories over the reals "decompose" over the finite places, and that this decomposition applies to quantum mechanics, field theory, gravity, and string theory, in both Euclidean and Lorentzian signatures. I present two examples of the decomposition: quantum mechanics of a free particle, and Euclidean two-dimensional Einstein gravity. For the free particle, the finite place theory is the usual free particle $p$-adic quantum mechanics, with the Hamiltonian obtained from the real one by replacing the usual derivatives with Vladimirov derivatives, and numerical coefficients with $p$-adic norms. For Euclidean two-dimensional gravity, the finite place objects mimicking the role of the spacetime are $\mathrm{SL}(\mathbb{Q}_p)$ Bruhat-Tits trees. I furthermore propose quadratic extension Bruhat-Tits trees as the finite place objects into which Lorentzian $\mathrm{AdS}_2$ decomposes, and Bruhat-Tits buildings as a natural generalization to higher dimensions, with the same symmetry group on the finite and real sides for the manifolds and buildings corresponding to the vacuum state.

8.188889

8.87219

9.045819

8.096725

9.244246

9.075248

8.818435

8.490092

8.319955

9.169164

8.27036

7.808087

8.167117

7.69278

8.087688

7.759342

8.138487

7.844069

7.915055

8.126146

7.829852

2102.11745

Sourav Bhattacharya

Md Sabir Ali, Sourav Bhattacharya, Shankhadeep Chakrabortty and Shagun Kaushal

Fermionic Bell violation in the presence of background electromagnetic fields in the cosmological de Sitter spacetime

v2, 26pp, 7 figs.; added references and discussion to emphasise the physical motivation; improved presentation; accepted in PRD

null

hep-th gr-qc

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

The violation of the Bell inequality for Dirac fermions is investigated in the cosmological de Sitter spacetime, in the presence of background electromagnetic fields of constant strengths. The orthonormal Dirac mode functions are obtained and the relevant in-out squeezed state expansion in terms of the Bogoliubov coefficients are found. We focus on two scenarios here : strong electric field and heavy mass limits (with respect to the Hubble constant). Using the squeezed state expansion, we then demonstrate the Bell violations for the vacuum and some maximally entangled initial states. Even though a background magnetic field alone cannot create particles, in the presence of background electric field and or spacetime curvature, it can affect the particle creation rate. Our chief aim thus here is to investigate the role of the background magnetic field strength in the Bell violation. Qualitative differences in this regard for different maximally entangled initial states are shown. Further extension of these results to the so called $\alpha$-vacua are also discussed.

[ { "created": "Tue, 23 Feb 2021 15:17:37 GMT", "version": "v1" }, { "created": "Mon, 15 Nov 2021 07:44:51 GMT", "version": "v2" } ]

2021-11-16

[ [ "Ali", "Md Sabir", "" ], [ "Bhattacharya", "Sourav", "" ], [ "Chakrabortty", "Shankhadeep", "" ], [ "Kaushal", "Shagun", "" ] ]

The violation of the Bell inequality for Dirac fermions is investigated in the cosmological de Sitter spacetime, in the presence of background electromagnetic fields of constant strengths. The orthonormal Dirac mode functions are obtained and the relevant in-out squeezed state expansion in terms of the Bogoliubov coefficients are found. We focus on two scenarios here : strong electric field and heavy mass limits (with respect to the Hubble constant). Using the squeezed state expansion, we then demonstrate the Bell violations for the vacuum and some maximally entangled initial states. Even though a background magnetic field alone cannot create particles, in the presence of background electric field and or spacetime curvature, it can affect the particle creation rate. Our chief aim thus here is to investigate the role of the background magnetic field strength in the Bell violation. Qualitative differences in this regard for different maximally entangled initial states are shown. Further extension of these results to the so called $\alpha$-vacua are also discussed.

13.213225

11.329831

12.072171

11.217405

10.839684

11.845945

11.982961

11.3563

11.36093

14.073127

10.77241

11.554259

11.903879

11.898423

11.602192

11.829495

11.490362

11.911917

11.886648

11.881173

11.855749

2401.05867

Bo-Qiang Ma

Chengyi Li, Bo-Qiang Ma

Effects on neutrino propagation in space-time foam of D-branes revisited

15 latex pages, no figure, final version for publication

JHEP 05 (2024) 266

10.1007/JHEP05(2024)266

null

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

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

Neutrinos from the cosmos have proven to be ideal for probing the nature of space-time. Previous studies on high-energy events of IceCube suggested that some of these events might be gamma-ray burst neutrinos, with their speeds varying linearly with their energy, implying also the coexistence of subluminal and superluminal propagation. However, a recent reanalysis of the data, incorporating revised directional information, reveals stronger signals that neutrinos are actually being slowed down compared to previous suggestion of neutrino speed variation. Thus, it is worth discussing its implications for the brane/string inspired framework of space-time foam, which has been used to explain previous observations. We revisit effects on neutrino propagation from specific foam models within the framework, indicating that the implied violation of Lorentz invariance could necessarily cause the neutrino to decelerate. We therefore argue that this sort of model is in agreement with the updated phenomenological indication just mentioned. An extended analysis of the revised IceCube data will further test these observations and stringy quantum gravity.

[ { "created": "Thu, 11 Jan 2024 12:20:15 GMT", "version": "v1" }, { "created": "Tue, 28 May 2024 03:56:24 GMT", "version": "v2" } ]

2024-05-29

[ [ "Li", "Chengyi", "" ], [ "Ma", "Bo-Qiang", "" ] ]

Neutrinos from the cosmos have proven to be ideal for probing the nature of space-time. Previous studies on high-energy events of IceCube suggested that some of these events might be gamma-ray burst neutrinos, with their speeds varying linearly with their energy, implying also the coexistence of subluminal and superluminal propagation. However, a recent reanalysis of the data, incorporating revised directional information, reveals stronger signals that neutrinos are actually being slowed down compared to previous suggestion of neutrino speed variation. Thus, it is worth discussing its implications for the brane/string inspired framework of space-time foam, which has been used to explain previous observations. We revisit effects on neutrino propagation from specific foam models within the framework, indicating that the implied violation of Lorentz invariance could necessarily cause the neutrino to decelerate. We therefore argue that this sort of model is in agreement with the updated phenomenological indication just mentioned. An extended analysis of the revised IceCube data will further test these observations and stringy quantum gravity.

17.955412

21.177008

17.504864

17.173306

19.156347

18.402111

19.920265

18.352594

18.606096

19.548647

17.66255

18.226343

16.662746

17.382614

17.955124

18.291199

18.428076

17.928509

17.325495

17.273418

17.279583

hep-th/9910134

Karin Bautier

Diffeomorphisms and Weyl transformations in AdS_3 gravity

5 pages, Latex. Presented at the TMR European program meeting "Quantum aspects of gauge theories, supersymmetry and unification", ENS, Paris, France, 1-7 September 1999

null

hep-th

null

It is shown that the AdS_3 gravity action with boundary terms is non invariant under diffeomorphisms and that its Lie derivative has the form of the Weyl anomaly in two dimensions. This variation is compensated by a Weyl transformation of the boundary metric when the radial derivative of the metric on the boundary is expressed in terms of the stress tensor of a Liouville field. The obtained invariance of the action under the combined transformation of a diffeomorphism and a Weyl transformation allows to interpret the computed Lie derivative as minus the Weyl anomaly of the two-dimensional effective action.

[ { "created": "Mon, 18 Oct 1999 16:45:58 GMT", "version": "v1" } ]

2007-05-23

[ [ "Bautier", "Karin", "" ] ]

It is shown that the AdS_3 gravity action with boundary terms is non invariant under diffeomorphisms and that its Lie derivative has the form of the Weyl anomaly in two dimensions. This variation is compensated by a Weyl transformation of the boundary metric when the radial derivative of the metric on the boundary is expressed in terms of the stress tensor of a Liouville field. The obtained invariance of the action under the combined transformation of a diffeomorphism and a Weyl transformation allows to interpret the computed Lie derivative as minus the Weyl anomaly of the two-dimensional effective action.

7.256284

7.178673

7.0315

6.887061

6.947952

7.267029

6.870906

7.059242

6.4428

7.64678

7.013781

6.973876

6.790848

6.793653

6.86404

6.707195

7.056299

7.000098

6.79697

7.355498

6.833203

hep-th/9902004

Tsunehide Kuroki

Mitsuhiro Kato and Tsunehide Kuroki

World Volume Noncommutativity versus Target Space Noncommutativity

17 pages, LaTex, no figures

JHEP 9903:012,1999

10.1088/1126-6708/1999/03/012

UT-Komaba/99-3

hep-th

null

It is known that the noncommutativity of D-brane coordinate is responsible for describing the higher-dimensional D-branes in terms of more fundamental ones such as D-particles or D-instantons, while considering a noncommutative torus as a target space is conjectured to be equivalent to introducing the background antisymmetric tensor field in matrix models. In the present paper we clarify the dual nature of both descriptions. Namely the noncommutativity of conjugate momenta of the D-brane coordinates realizes the target space structure, whereas noncommutativity of the coordinates themselves realizes world volume structure. We explicitly construct a boundary state for the Dirichlet boundary condition where the string boundary is adhered to the D-brane on the noncommutative torus. There are non-trivial relations between the parameters appeared in the algebra of the coordinates and that of the momenta.

[ { "created": "Sun, 31 Jan 1999 09:18:22 GMT", "version": "v1" } ]

2010-02-03

[ [ "Kato", "Mitsuhiro", "" ], [ "Kuroki", "Tsunehide", "" ] ]

It is known that the noncommutativity of D-brane coordinate is responsible for describing the higher-dimensional D-branes in terms of more fundamental ones such as D-particles or D-instantons, while considering a noncommutative torus as a target space is conjectured to be equivalent to introducing the background antisymmetric tensor field in matrix models. In the present paper we clarify the dual nature of both descriptions. Namely the noncommutativity of conjugate momenta of the D-brane coordinates realizes the target space structure, whereas noncommutativity of the coordinates themselves realizes world volume structure. We explicitly construct a boundary state for the Dirichlet boundary condition where the string boundary is adhered to the D-brane on the noncommutative torus. There are non-trivial relations between the parameters appeared in the algebra of the coordinates and that of the momenta.

9.222647

9.386636

10.428735

9.095922

9.81995

9.27822

9.73624

8.695572

8.993411

10.412598

9.54178

9.132126

9.245934

8.976877

9.353532

8.953889

8.888829

9.051867

9.135683

9.093866

9.001412

hep-th/0612279

Ruslan Metsaev

R.R.Metsaev

Gravitational and higher-derivative interactions of massive spin 5/2 field in (A)dS space

51 pages, LaTeX-2e, v3: Section 1 is divided into Sections 1-6. Discussion of gravitational and higher-derivative vertices added to Sections 2-6. Tables I, II and Appendices B,C,D,E,F added. Typos corrected

Phys.Rev.D77:025032,2008

10.1103/PhysRevD.77.025032

FIAN/TD/13-2006

hep-th

null

Using on-shell gauge invariant formulation of relativistic dynamics we study interaction vertices for a massive spin 5/2 Dirac field propagating in (A)dS space of dimension greater than or equal to four. Gravitational interaction vertex for the massive spin 5/2 field and all cubic vertices for the massive spin 5/2 field and massless spin 2 field with two and three derivatives are obtained. In dimension greater that four, we demonstrate that the gravitational vertex of the massive spin 5/2 field involves, in addition to the standard minimal gravitational vertex, contributions with two and three derivatives. We find that for the massive spin 5/2 and massless spin 2 fields one can build two higher-derivative vertices with two and three derivatives. Limits of massless and partial massless spin 5/2 fields in (A)dS space and limits of massive and massless spin 5/2 fields in flat space are discussed.

[ { "created": "Wed, 27 Dec 2006 17:21:54 GMT", "version": "v1" }, { "created": "Thu, 28 Dec 2006 17:58:21 GMT", "version": "v2" }, { "created": "Mon, 10 Sep 2007 17:24:44 GMT", "version": "v3" } ]

2008-11-26

[ [ "Metsaev", "R. R.", "" ] ]

Using on-shell gauge invariant formulation of relativistic dynamics we study interaction vertices for a massive spin 5/2 Dirac field propagating in (A)dS space of dimension greater than or equal to four. Gravitational interaction vertex for the massive spin 5/2 field and all cubic vertices for the massive spin 5/2 field and massless spin 2 field with two and three derivatives are obtained. In dimension greater that four, we demonstrate that the gravitational vertex of the massive spin 5/2 field involves, in addition to the standard minimal gravitational vertex, contributions with two and three derivatives. We find that for the massive spin 5/2 and massless spin 2 fields one can build two higher-derivative vertices with two and three derivatives. Limits of massless and partial massless spin 5/2 fields in (A)dS space and limits of massive and massless spin 5/2 fields in flat space are discussed.

6.24074

5.414596

6.555085

5.402454

5.534447

5.439048

5.456662

5.242716

5.356539

6.977128

5.585581

5.761067

5.984367

5.707614

5.808931

5.721975

5.847397

5.676222

5.741111

6.069365

5.658184

2401.12957

Sayan Kumar Pal

Sayan Kumar Pal, Partha Nandi

Symmetry Duality: Exploring Exotic Oscillators And Dissipative Dynamics Through The Glass Of Newton-Hooke

null

hep-th cond-mat.other gr-qc

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

Motivated by the symmetry in the non-relativistic limit of anti-de Sitter geometry, we employ planar dynamical models featuring exotic (deformed) harmonic oscillators, presented through direct and indirect Lagrangian representations. The latter introduces Bateman dissipative oscillator system. Analyzing these dynamic systems with a first-order Lagrangian scheme, our phase-space-based approach utilizes the moment map components to reveal the underlying symmetry algebra. This obtained algebra, interpreted as an extended version of Newton-Hooke (NH) cosmological symmetry algebras, has the potential to cast an augmented non-relativistic shadow over the expanding universe, offering an insightful perspective on extended NH spacetime in 2+1 dimensions through our dynamical realizations.

[ { "created": "Tue, 23 Jan 2024 18:32:15 GMT", "version": "v1" } ]

2024-01-24

[ [ "Pal", "Sayan Kumar", "" ], [ "Nandi", "Partha", "" ] ]

Motivated by the symmetry in the non-relativistic limit of anti-de Sitter geometry, we employ planar dynamical models featuring exotic (deformed) harmonic oscillators, presented through direct and indirect Lagrangian representations. The latter introduces Bateman dissipative oscillator system. Analyzing these dynamic systems with a first-order Lagrangian scheme, our phase-space-based approach utilizes the moment map components to reveal the underlying symmetry algebra. This obtained algebra, interpreted as an extended version of Newton-Hooke (NH) cosmological symmetry algebras, has the potential to cast an augmented non-relativistic shadow over the expanding universe, offering an insightful perspective on extended NH spacetime in 2+1 dimensions through our dynamical realizations.

25.415499

25.190765

27.647104

23.909203

26.45466

25.191568

26.747782

27.578814

23.634733

28.119539

23.615767

25.09664

24.891157

25.38114

26.137106

25.088886

26.18005

24.778259

25.460197

25.563034

24.935871

1807.02031

Wout Merbis

Ivano Lodato, Wout Merbis and Zodinmawia

Supersymmetric Galilean conformal blocks

43 pages, v2: references added and typos fixed, v3: refs added, minor errors in the expression for the despotic blocks fixed. Matches published version

JHEP09(2018)086

10.1007/JHEP09(2018)086

null

hep-th

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

We set up the bootstrap procedure for supersymmetric Galilean Conformal (SGC) field theories in two dimensions by constructing the SGC blocks in the $\mathcal{N}=1$ and two possible $\mathcal{N} =2$ extensions of the Galilean conformal algebra. In all analyzed cases, we present the bootstrap equations by crossing symmetry of the four point function. In addition, we compute the global SGC blocks analytically by solving the differential equations obtained by acting with the Casimirs of the global subalgebras inside the four point function. These global blocks agree with the general SGC blocks in the limit of large central charge. We comment on possible applications to supersymmetric BMS$_3$ invariant field theories and flat holography.

[ { "created": "Thu, 5 Jul 2018 14:48:27 GMT", "version": "v1" }, { "created": "Thu, 19 Jul 2018 10:21:36 GMT", "version": "v2" }, { "created": "Mon, 24 Sep 2018 10:50:54 GMT", "version": "v3" } ]

2018-09-25

[ [ "Lodato", "Ivano", "" ], [ "Merbis", "Wout", "" ], [ "Zodinmawia", "", "" ] ]

We set up the bootstrap procedure for supersymmetric Galilean Conformal (SGC) field theories in two dimensions by constructing the SGC blocks in the $\mathcal{N}=1$ and two possible $\mathcal{N} =2$ extensions of the Galilean conformal algebra. In all analyzed cases, we present the bootstrap equations by crossing symmetry of the four point function. In addition, we compute the global SGC blocks analytically by solving the differential equations obtained by acting with the Casimirs of the global subalgebras inside the four point function. These global blocks agree with the general SGC blocks in the limit of large central charge. We comment on possible applications to supersymmetric BMS$_3$ invariant field theories and flat holography.

7.556872

6.71328

8.140389

6.563293

7.017771

6.794305

6.638705

6.312224

6.467767

8.20014

6.474267

6.42497

7.424661

6.540617

6.590367

6.745768

6.532812

6.625843

6.657945

7.162937

6.566841

hep-th/9501118

null

J.Loeffelholz, G.Morchio, F.Strocchi

The QED(0+1) model and a possible dynamical solution of the strong CP problem

21 pages, Plain Tex

null

10.1006/aphy.1996.0097

IFUP-TH 7/95

hep-th

null

The QED(0+1) model describing a quantum mechanical particle on a circle with minimal electromagnetic interaction and with a potential -M cos(phi - theta_M), which mimics the massive Schwinger model, is discussed as a prototype of mechanisms and infrared structures of gauge quantum field theories in positive gauges. The functional integral representation displays a complex measure, with a crucial role of the boundary conditions, and the decomposition into theta sectors takes place already in finite volume. In the infinite volume limit, the standard results are reproduced for M=0 (massless fermions), but one meets substantial differences for M not = 0: for generic boundary conditions, independently of the lagrangean angle of the topological term, the infinite volume limit selects the sector with theta = theta_M, and provides a natural "dynamical" solution of the strong CP problem. In comparison with previous approaches, the strategy discussed here allows to exploit the consequences of the theta-dependence of the free energy density, with a unique minimum at theta = theta_M.

[ { "created": "Thu, 26 Jan 1995 14:59:25 GMT", "version": "v1" } ]

2009-10-28

[ [ "Loeffelholz", "J.", "" ], [ "Morchio", "G.", "" ], [ "Strocchi", "F.", "" ] ]

The QED(0+1) model describing a quantum mechanical particle on a circle with minimal electromagnetic interaction and with a potential -M cos(phi - theta_M), which mimics the massive Schwinger model, is discussed as a prototype of mechanisms and infrared structures of gauge quantum field theories in positive gauges. The functional integral representation displays a complex measure, with a crucial role of the boundary conditions, and the decomposition into theta sectors takes place already in finite volume. In the infinite volume limit, the standard results are reproduced for M=0 (massless fermions), but one meets substantial differences for M not = 0: for generic boundary conditions, independently of the lagrangean angle of the topological term, the infinite volume limit selects the sector with theta = theta_M, and provides a natural "dynamical" solution of the strong CP problem. In comparison with previous approaches, the strategy discussed here allows to exploit the consequences of the theta-dependence of the free energy density, with a unique minimum at theta = theta_M.

18.067982

17.898075

17.277348

16.785892

19.456295

19.113377

20.051161

18.52581

16.660667

19.278534

17.647789

17.971344

17.342518

16.894159

17.576597

18.100069

17.625071

18.088875

17.667898

17.891211

16.955608

hep-th/9212146

null

S. Mignemi and N.R. Stewart

Charged black holes in effective string theory

17 pages, 5 figures not included, plain TeX

Phys.Rev. D47 (1993) 5259-5269

10.1103/PhysRevD.47.5259

null

hep-th

null

We investigate the qualitative new features of charged dilatonic black holes which emerge when both the Yang-Mills and Gauss-Bonnet curvature corrections are included in the effective action. We consider perturbative effects by an expansion up to second order in the inverse string tension on the four dimensional Schwarzschild background and determine the backreaction. We calculate the thermodynamical functions and show that for magnetic charge above a critical value, the temperature of the black hole has a maximum and goes to zero for a finite value of the mass. This indicates that the conventional Hawking evaporation law is modified by string theory at a classical level.

[ { "created": "Wed, 23 Dec 1992 19:37:00 GMT", "version": "v1" } ]

2009-10-22

[ [ "Mignemi", "S.", "" ], [ "Stewart", "N. R.", "" ] ]

We investigate the qualitative new features of charged dilatonic black holes which emerge when both the Yang-Mills and Gauss-Bonnet curvature corrections are included in the effective action. We consider perturbative effects by an expansion up to second order in the inverse string tension on the four dimensional Schwarzschild background and determine the backreaction. We calculate the thermodynamical functions and show that for magnetic charge above a critical value, the temperature of the black hole has a maximum and goes to zero for a finite value of the mass. This indicates that the conventional Hawking evaporation law is modified by string theory at a classical level.

10.387272

10.096737

9.97417

9.146914

9.504166

9.546673

9.78477

9.536809

10.008126

10.023672

9.476647

9.720436

9.363351

9.249362

9.450353

9.432014

9.340725

9.401256

9.346955

9.557702

9.224292

2005.04265

Gerald V. Dunne

Michael Borinsky and Gerald V. Dunne

Non-Perturbative Completion of Hopf-Algebraic Dyson-Schwinger Equations

17 pages, 3 figures

Nucl. Phys. B 957 (2020) 115096

10.1016/j.nuclphysb.2020.115096

null

hep-th math-ph math.MP

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

For certain quantum field theories, the Kreimer-Connes Hopf-algebraic approach to renormalization reduces the Dyson-Schwinger equations to a system of non-linear ordinary differential equations for the expansion coefficients of the renormalized Green's function. We apply resurgent asymptotic analysis to find the trans-series solutions which provide the non-perturbative completion of these formal Dyson-Schwinger expansions. We illustrate the general approach with the concrete example of four dimensional massless Yukawa theory, connecting with the exact functional solution found by Broadhurst and Kreimer. The trans-series solution is associated with the iterative form of the Dyson-Schwinger equations, and displays renormalon-like structure of integer-repeated Borel singularities. Extraction of the Stokes constant is possible due to a property we call `functional resurgence'.

[ { "created": "Fri, 8 May 2020 19:18:01 GMT", "version": "v1" } ]

2020-08-04

[ [ "Borinsky", "Michael", "" ], [ "Dunne", "Gerald V.", "" ] ]

For certain quantum field theories, the Kreimer-Connes Hopf-algebraic approach to renormalization reduces the Dyson-Schwinger equations to a system of non-linear ordinary differential equations for the expansion coefficients of the renormalized Green's function. We apply resurgent asymptotic analysis to find the trans-series solutions which provide the non-perturbative completion of these formal Dyson-Schwinger expansions. We illustrate the general approach with the concrete example of four dimensional massless Yukawa theory, connecting with the exact functional solution found by Broadhurst and Kreimer. The trans-series solution is associated with the iterative form of the Dyson-Schwinger equations, and displays renormalon-like structure of integer-repeated Borel singularities. Extraction of the Stokes constant is possible due to a property we call `functional resurgence'.

9.205292

9.318181

10.832771

9.373892

9.551757

8.407646

8.899479

9.351627

10.008986

11.811657

9.020611

9.106583

9.594419

8.830652

9.013568

9.207573

9.076632

9.009348

9.014172

9.25628

8.80186

hep-th/9908094

Y. Lozano

Eduardo Eyras, Yolanda Lozano

Exotic Branes and Nonperturbative Seven Branes

42 pages, Latex, 1 figure

Nucl.Phys. B573 (2000) 735-767

10.1016/S0550-3213(99)00792-0

UG-15/99, SPIN-99/18

hep-th

null

We construct the effective action of certain exotic branes in the Type II theories which are not predicted by their spacetime supersymmetry algebras. We analyze in detail the case of the NS-7B brane, S-dual to the D7-brane, and connected by T-duality to other exotic branes in Type IIA: the KK-6A brane and the KK-8A brane (obtained by reduction of the M-theory Kaluza-Klein monopole and M9-brane, respectively). The NS-7B brane carries charge with respect to the S-dual of the RR 8-form, which we identify as a non-local combination of the electric-magnetic duals of the axion and the dilaton. The study of its effective action agrees with previous results in the literature showing that it transforms as an SL(2,Z) triplet together with the D7-brane. We discuss why this brane is not predicted by the Type IIB spacetime supersymmetry algebra. In particular we show that the modular transformation relating the D7 and NS-7B brane solutions can be undone by a simple coordinate transformation in the two dimensional transverse space, equivalent to choosing a different region to parametrize the SL(2,Z) moduli space. We discuss a similar relation between the D6 and KK-6A branes and the D8 and KK-8A branes.

[ { "created": "Fri, 13 Aug 1999 18:01:50 GMT", "version": "v1" } ]

2009-10-31

[ [ "Eyras", "Eduardo", "" ], [ "Lozano", "Yolanda", "" ] ]

We construct the effective action of certain exotic branes in the Type II theories which are not predicted by their spacetime supersymmetry algebras. We analyze in detail the case of the NS-7B brane, S-dual to the D7-brane, and connected by T-duality to other exotic branes in Type IIA: the KK-6A brane and the KK-8A brane (obtained by reduction of the M-theory Kaluza-Klein monopole and M9-brane, respectively). The NS-7B brane carries charge with respect to the S-dual of the RR 8-form, which we identify as a non-local combination of the electric-magnetic duals of the axion and the dilaton. The study of its effective action agrees with previous results in the literature showing that it transforms as an SL(2,Z) triplet together with the D7-brane. We discuss why this brane is not predicted by the Type IIB spacetime supersymmetry algebra. In particular we show that the modular transformation relating the D7 and NS-7B brane solutions can be undone by a simple coordinate transformation in the two dimensional transverse space, equivalent to choosing a different region to parametrize the SL(2,Z) moduli space. We discuss a similar relation between the D6 and KK-6A branes and the D8 and KK-8A branes.

6.155047

6.429332

6.763772

5.935663

6.190097

6.29824

6.36904

6.400598

6.155926

6.800015

6.105134

6.096234

6.345614

5.990515

6.065821

6.07646

6.110271

6.097877

6.111047

6.450436

6.054986

hep-th/0304069

Sanjay Jhingan

Alexander Feinstein and Sanjay Jhingan

Ghosts in a Mirror

Minor changes, new references added

Mod.Phys.Lett. A19 (2004) 457-466

10.1142/S0217732304013246

null

hep-th gr-qc

null

We look at some dynamic geometries produced by scalar fields with both the "right" and the "wrong" sign of the kinetic energy. We start with anisotropic homogeneous universes with closed, open and flat spatial sections. A non-singular solution to the Einstein field equations representing an open anisotropic universe with the ghost field is found. This universe starts collapsing from $t \to -\infty$ and then expands to $t \to \infty$ without encountering singularities on its way. We further generalize these solutions to those describing inhomogeneous evolution of the ghost fields. Some interesting solutions with the plane symmetry are discussed. These have a property that the same line element solves the Einstein field equations in two mirror regions $|t|\geq z$ and $|t|\leq z$, but in one region the solution has the \emph{right} and in the other, the \emph{wrong} signs of the kinetic energy. We argue, however, that a physical observer can not reach the mirror region in a finite proper time. Self-similar collapse/expansion of these fields are also briefly discussed.

[ { "created": "Tue, 8 Apr 2003 08:44:55 GMT", "version": "v1" }, { "created": "Sat, 12 Apr 2003 10:26:59 GMT", "version": "v2" } ]

2009-11-10

[ [ "Feinstein", "Alexander", "" ], [ "Jhingan", "Sanjay", "" ] ]

We look at some dynamic geometries produced by scalar fields with both the "right" and the "wrong" sign of the kinetic energy. We start with anisotropic homogeneous universes with closed, open and flat spatial sections. A non-singular solution to the Einstein field equations representing an open anisotropic universe with the ghost field is found. This universe starts collapsing from $t \to -\infty$ and then expands to $t \to \infty$ without encountering singularities on its way. We further generalize these solutions to those describing inhomogeneous evolution of the ghost fields. Some interesting solutions with the plane symmetry are discussed. These have a property that the same line element solves the Einstein field equations in two mirror regions $|t|\geq z$ and $|t|\leq z$, but in one region the solution has the \emph{right} and in the other, the \emph{wrong} signs of the kinetic energy. We argue, however, that a physical observer can not reach the mirror region in a finite proper time. Self-similar collapse/expansion of these fields are also briefly discussed.

8.965672

9.719431

8.580716

8.282735

9.199049

8.958834

9.305385

8.626785

8.844837

9.012876

9.035841

8.350944

8.200579

8.122357

8.387221

8.211665

8.482139

8.376813

8.321466

8.130546

8.73469

1502.07537

Ioannis Florakis

Universality of radiative corrections to gauge couplings for strings with spontaneously broken supersymmetry

18 pages, corrected eq. 4.16 and an overall factor of 2

null

10.1088/1742-6596/631/1/012079

CERN-PH-TH-2015-038

hep-th

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

I review recent work on computing radiative corrections to non-abelian gauge couplings in four-dimensional heterotic vacua with spontaneously broken supersymmetry. The prototype models can be considered as K3 surfaces with additional Scherk-Schwarz fluxes inducing the spontaneous $\mathcal{N}=2 \to \mathcal{N}=0$ breaking. Remarkably, although the gauge thresholds are no longer BPS protected and receive contributions also from the excitations of the RNS sector, their difference is still exactly computable and universal. Based on a talk presented at the DISCRETE 2014 conference at King's College London.

[ { "created": "Thu, 26 Feb 2015 13:07:03 GMT", "version": "v1" }, { "created": "Fri, 26 Jun 2015 15:32:38 GMT", "version": "v2" } ]

2015-09-02

[ [ "Florakis", "Ioannis", "" ] ]

I review recent work on computing radiative corrections to non-abelian gauge couplings in four-dimensional heterotic vacua with spontaneously broken supersymmetry. The prototype models can be considered as K3 surfaces with additional Scherk-Schwarz fluxes inducing the spontaneous $\mathcal{N}=2 \to \mathcal{N}=0$ breaking. Remarkably, although the gauge thresholds are no longer BPS protected and receive contributions also from the excitations of the RNS sector, their difference is still exactly computable and universal. Based on a talk presented at the DISCRETE 2014 conference at King's College London.

10.344381

8.795289

10.769847

9.385655

9.073926

9.228724

9.000118

9.352882

9.089886

10.750491

8.586519

8.780547

9.42122

8.955255

8.657197

8.722419

8.903914

9.116865

8.467485

9.665472

8.797547

1606.04152

Brett D. Altschul

Karl Schober and Brett Altschul

No Contact Terms for the Magnetic Field in Lorentz- and CPT-Violating Electrodynamics

13 pages

Nucl. Phys. B 910, 458 (2016)

10.1016/j.nuclphysb.2016.07.020

null

hep-th

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

In a Lorentz- and CPT-violating modification of electrodynamics, the fields of a moving charge are known to have unusual singularities. This raises the question of whether the singular behavior may include $\delta$-function contact terms, similar to those that appear in the fields of idealized dipoles. However, by calculating the magnetic field of an infinite straight wire in this theory, we demonstrate that there are no such contact terms in the magnetic field of a moving point charge

[ { "created": "Mon, 13 Jun 2016 21:54:48 GMT", "version": "v1" } ]

2019-06-20

[ [ "Schober", "Karl", "" ], [ "Altschul", "Brett", "" ] ]

In a Lorentz- and CPT-violating modification of electrodynamics, the fields of a moving charge are known to have unusual singularities. This raises the question of whether the singular behavior may include $\delta$-function contact terms, similar to those that appear in the fields of idealized dipoles. However, by calculating the magnetic field of an infinite straight wire in this theory, we demonstrate that there are no such contact terms in the magnetic field of a moving point charge

8.359683

6.905146

7.230757

6.460049

5.910189

6.618428

7.3241

6.222586

6.275745

7.493516

6.763658

6.966763

7.231167

6.877349

6.940704

7.132413

7.055649

6.888978

6.951391

6.894108

7.140202

hep-th/0105122

Parthasarathi Majumdar

New parity-violating photon-axion interaction

5 pages, Revtex, no figures, a paragraph added to explain approximations made. No essential changes in results

Mod.Phys.Lett. A19 (2004) 1319

10.1142/S0217732304013908

null

hep-th gr-qc

null

A variant of an earlier proposal by the author and SenGupta, to describe four dimensional Maxwell electrodynamics in Einstein-Cartan spacetimes through a Kalb-Ramond field as an intermediary, is shown to lead to a new Maxwell-Kalb-Ramond coupling that violates spatial parity, even when the KR gauge field has its standard parity assignment. One consequence of this coupling seems to be a modulation, independent of wavelength but dependent on the KR field strength, of the intensity of synchrotron radiation observed from distant galactic sources.

[ { "created": "Sun, 13 May 2001 11:30:34 GMT", "version": "v1" }, { "created": "Thu, 21 Jun 2001 06:34:16 GMT", "version": "v2" }, { "created": "Wed, 19 Sep 2001 12:31:34 GMT", "version": "v3" }, { "created": "Tue, 26 Mar 2002 12:59:22 GMT", "version": "v4" } ]

2009-11-07

[ [ "Majumdar", "Parthasarathi", "" ] ]

A variant of an earlier proposal by the author and SenGupta, to describe four dimensional Maxwell electrodynamics in Einstein-Cartan spacetimes through a Kalb-Ramond field as an intermediary, is shown to lead to a new Maxwell-Kalb-Ramond coupling that violates spatial parity, even when the KR gauge field has its standard parity assignment. One consequence of this coupling seems to be a modulation, independent of wavelength but dependent on the KR field strength, of the intensity of synchrotron radiation observed from distant galactic sources.

14.755228

13.745799

12.545552

12.589338

13.57973

12.887151

14.208666

12.537013

14.11653

12.422325

13.061257

12.848107

12.414165

12.210697

13.383275

13.025806

12.698658

12.52019

12.497951

12.217302

13.206457

2201.08181

Yuki Miyakawa

Axial anomaly in the gradient flow exact renormalization group

7 pages

null

hep-th

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

The gradient flow exact renormalization group (GFERG) is a formulation of the exact renormalization group that keeps exact gauge invariance. GFERG can keep also modified chiral invariance. We will show that this formulation reproduces the correct axial anomaly in four dimensions.

[ { "created": "Wed, 19 Jan 2022 09:12:37 GMT", "version": "v1" }, { "created": "Mon, 7 Feb 2022 02:21:54 GMT", "version": "v2" }, { "created": "Thu, 28 Apr 2022 07:34:15 GMT", "version": "v3" } ]

2022-04-29

[ [ "Miyakawa", "Yuki", "" ] ]

The gradient flow exact renormalization group (GFERG) is a formulation of the exact renormalization group that keeps exact gauge invariance. GFERG can keep also modified chiral invariance. We will show that this formulation reproduces the correct axial anomaly in four dimensions.

10.953911

6.695215

10.680712

7.757157

7.227604

6.686557

6.448391

7.409495

7.237584

10.691819

7.695328

8.07396

11.151508

9.334582

8.510997

8.494674

8.63239

8.61009

8.819272

10.473327

8.96512

hep-th/9703075

null

Hitoshi Nishino and Ergin Sezgin

New Couplings of Six-Dimensional Supergravity

24 pages, latex, no figures

Nucl.Phys. B505 (1997) 497-516

10.1016/S0550-3213(97)00357-X

UMDEPP 97-086, CTP TAMU-14/97

hep-th

null

We describe the couplings of six-dimensional supergravity, which contain a self-dual tensor multiplet, to $n_T$ anti-self-dual tensor matter multiplets, $n_V$ vector multiplets and $n_H$ hypermultiplets. The scalar fields of the tensor multiplets form a coset $SO(n_T,1)/SO(n_T)$, while the scalars in the hypermultiplets form quaternionic K\"ahler symmetric spaces, the generic example being $Sp(n_H,1)/Sp(n_H)\otimes Sp(1)$. The gauging of the compact subgroup $Sp(n_H) \times Sp(1)$ is also described. These results generalize previous ones in the literature on matter couplings of $N=1$ supergravity in six dimensions.

[ { "created": "Tue, 11 Mar 1997 00:45:48 GMT", "version": "v1" } ]

2009-10-30

[ [ "Nishino", "Hitoshi", "" ], [ "Sezgin", "Ergin", "" ] ]

We describe the couplings of six-dimensional supergravity, which contain a self-dual tensor multiplet, to $n_T$ anti-self-dual tensor matter multiplets, $n_V$ vector multiplets and $n_H$ hypermultiplets. The scalar fields of the tensor multiplets form a coset $SO(n_T,1)/SO(n_T)$, while the scalars in the hypermultiplets form quaternionic K\"ahler symmetric spaces, the generic example being $Sp(n_H,1)/Sp(n_H)\otimes Sp(1)$. The gauging of the compact subgroup $Sp(n_H) \times Sp(1)$ is also described. These results generalize previous ones in the literature on matter couplings of $N=1$ supergravity in six dimensions.

4.450938

4.571008

5.085711

4.43247

4.826544

4.305548

4.134817

4.3134

4.374345

5.121905

4.141529

4.526489

4.495141

4.361507

4.217634

4.143226

4.153854

4.327443

4.30372

4.515535

4.272303