LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/0001189

Savdeep Sethi

Savdeep Sethi and Mark Stern

Invariance Theorems for Supersymmetric Yang-Mills Theories

12 pages; harvmac, a comment added

Adv.Theor.Math.Phys.4:487-501,2000

null

hep-th

null

We consider quantum mechanical Yang-Mills theories with eight supercharges and a $Spin(5) \times SU(2)_R$ flavor symmetry. We show that all normalizable ground states in these gauge theories are invariant under this flavor symmetry. This includes, as a special case, all bound states of D0-branes and D4-branes. As a consequence, all bound states of D0-branes are invariant under the $Spin(9)$ flavor symmetry. When combined with index results, this implies that the bound state of two D0-branes is unique.

[ { "created": "Thu, 27 Jan 2000 20:47:51 GMT", "version": "v1" }, { "created": "Mon, 18 Sep 2000 04:29:40 GMT", "version": "v2" } ]

2008-11-26

[ [ "Sethi", "Savdeep", "" ], [ "Stern", "Mark", "" ] ]

We consider quantum mechanical Yang-Mills theories with eight supercharges and a $Spin(5) \times SU(2)_R$ flavor symmetry. We show that all normalizable ground states in these gauge theories are invariant under this flavor symmetry. This includes, as a special case, all bound states of D0-branes and D4-branes. As a consequence, all bound states of D0-branes are invariant under the $Spin(9)$ flavor symmetry. When combined with index results, this implies that the bound state of two D0-branes is unique.

6.860519

6.501399

7.75641

6.41342

6.799834

6.214637

6.992435

6.438944

6.351002

7.015787

6.396381

6.258337

6.756206

6.338874

6.591461

6.30969

6.439254

6.403119

6.294731

6.895658

6.236382

hep-th/9610234

Edward Witten

Five-Brane Effective Action In M-Theory

41 pp, harvmac

J.Geom.Phys.22:103-133,1997

10.1016/S0393-0440(97)80160-X

null

hep-th

null

On the world-volume of an $M$-theory five-brane propagates a two-form with self-dual field strength. As this field is non-Lagrangian, there is no obvious framework for determining its partition function. An analogous problem exists in Type IIB superstring theory for the self-dual five-form. The resolution of these problems and definition of the partition function is explained. A more complete analysis of perturbative anomaly cancellation for $M$-theory five-branes is also presented, uncovering some surprising details.

[ { "created": "Tue, 29 Oct 1996 22:03:47 GMT", "version": "v1" } ]

2010-04-07

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

On the world-volume of an $M$-theory five-brane propagates a two-form with self-dual field strength. As this field is non-Lagrangian, there is no obvious framework for determining its partition function. An analogous problem exists in Type IIB superstring theory for the self-dual five-form. The resolution of these problems and definition of the partition function is explained. A more complete analysis of perturbative anomaly cancellation for $M$-theory five-branes is also presented, uncovering some surprising details.

11.74843

8.122305

9.819968

8.710223

7.879176

8.050665

8.295197

8.432276

8.191084

11.531498

8.820599

8.336297

9.166803

8.55176

8.542051

8.562719

8.304738

8.576355

8.879476

9.104574

8.792502

2208.11179

Ricardo Monteiro

Celestial chiral algebras, colour-kinematics duality and integrability

23 pages, 1 figure. v2: minor changes, published version

null

10.1007/JHEP01(2023)092

QMUL-PH-22-26

hep-th

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

We study celestial chiral algebras appearing in celestial holography, using the light-cone gauge formulation of self-dual Yang-Mills theory and self-dual gravity, and explore also a deformation of the latter. The recently discussed $w_{1+\infty}$ algebra in self-dual gravity arises from the soft expansion of an area-preserving diffeomorphism algebra, which plays the role of the kinematic algebra in the colour-kinematics duality and the double copy relation between the self-dual theories. The $W_{1+\infty}$ deformation of $w_{1+\infty}$ arises from a Moyal deformation of self-dual gravity. This theory is interpreted as a constrained chiral higher-spin gravity, where the field is a tower of higher-spin components fully constrained by the graviton component. In all these theories, the chiral structure of the operator-product expansion exhibits the colour-kinematics duality: the implicit `left algebra' is the self-dual kinematic algebra, while the `right algebra' provides the structure constants of the operator-product expansion, ensuring its associativity at tree level. In a scattering amplitudes version of the Ward conjecture, the left algebra ensures the classical integrability of this type of theories. In particular, it enforces the vanishing of the tree-level amplitudes via the double copy.

[ { "created": "Tue, 23 Aug 2022 20:14:33 GMT", "version": "v1" }, { "created": "Mon, 2 Jan 2023 16:19:58 GMT", "version": "v2" } ]

2023-02-08

[ [ "Monteiro", "Ricardo", "" ] ]

We study celestial chiral algebras appearing in celestial holography, using the light-cone gauge formulation of self-dual Yang-Mills theory and self-dual gravity, and explore also a deformation of the latter. The recently discussed $w_{1+\infty}$ algebra in self-dual gravity arises from the soft expansion of an area-preserving diffeomorphism algebra, which plays the role of the kinematic algebra in the colour-kinematics duality and the double copy relation between the self-dual theories. The $W_{1+\infty}$ deformation of $w_{1+\infty}$ arises from a Moyal deformation of self-dual gravity. This theory is interpreted as a constrained chiral higher-spin gravity, where the field is a tower of higher-spin components fully constrained by the graviton component. In all these theories, the chiral structure of the operator-product expansion exhibits the colour-kinematics duality: the implicit `left algebra' is the self-dual kinematic algebra, while the `right algebra' provides the structure constants of the operator-product expansion, ensuring its associativity at tree level. In a scattering amplitudes version of the Ward conjecture, the left algebra ensures the classical integrability of this type of theories. In particular, it enforces the vanishing of the tree-level amplitudes via the double copy.

9.776608

9.298384

11.584455

8.733721

9.490093

9.037871

9.109069

8.997974

8.952219

11.34237

8.866882

9.306875

9.927208

9.329961

9.213855

9.386346

9.093428

9.361008

9.161513

9.867352

9.284925

hep-th/9904014

Christian Brouder

Runge-Kutta methods and renormalization

LaTeX file with FeynMF package. 21 pages, no figure

Eur.Phys.J.C12:521-534,2000

10.1007/s100529900235

null

hep-th

null

A connection between the algebra of rooted trees used in renormalization theory and Runge-Kutta methods is pointed out. Butcher's group and B-series are shown to provide a suitable framework for renormalizing a toy model of field the ory, following Kreimer's approach. Finally B-series are used to solve a class of non-linear partial differential equations.

[ { "created": "Fri, 2 Apr 1999 16:06:38 GMT", "version": "v1" } ]

2011-09-13

[ [ "Brouder", "Christian", "" ] ]

A connection between the algebra of rooted trees used in renormalization theory and Runge-Kutta methods is pointed out. Butcher's group and B-series are shown to provide a suitable framework for renormalizing a toy model of field the ory, following Kreimer's approach. Finally B-series are used to solve a class of non-linear partial differential equations.

12.998397

13.733034

15.917079

12.705333

14.456391

12.942597

13.0455

15.387549

13.369307

16.624062

13.414972

12.778567

13.25936

13.035654

12.272922

12.8743

12.063928

11.876778

13.241438

12.857999

13.368326

0911.3142

Benjamin Shlaer

Stability in and of de Sitter space

4 pages, 5 figures Added discussion of density of states. Submitted to PRL

null

hep-th gr-qc

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

We demonstrate that possession of a single negative mode is not a sufficient criterion for an instanton to mediate exponential decay. For example, de Sitter space is generically stable against decay via the Coleman-De Luccia instanton. This is due to the fact that the de Sitter Euclidean action is bounded below, allowing for an approximately de Sitter invariant false vacuum to be constructed.

[ { "created": "Tue, 17 Nov 2009 20:46:49 GMT", "version": "v1" }, { "created": "Tue, 11 Oct 2011 01:53:15 GMT", "version": "v2" } ]

2011-10-12

[ [ "Shlaer", "Benjamin", "" ] ]

We demonstrate that possession of a single negative mode is not a sufficient criterion for an instanton to mediate exponential decay. For example, de Sitter space is generically stable against decay via the Coleman-De Luccia instanton. This is due to the fact that the de Sitter Euclidean action is bounded below, allowing for an approximately de Sitter invariant false vacuum to be constructed.

10.783138

9.080667

8.533711

8.57606

8.968307

8.498813

9.88814

8.736551

8.884696

9.665004

9.033257

9.127534

9.028029

9.026776

9.134788

8.75259

9.07744

8.841496

8.80469

9.099748

8.767928

0810.0298

Sean A. Hartnoll

Sean A. Hartnoll and Kentaroh Yoshida

Families of IIB duals for nonrelativistic CFTs

1+25 pages. References added

JHEP 0812:071,2008

10.1088/1126-6708/2008/12/071

null

hep-th

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

We show that the recent string theory embedding of a spacetime with nonrelativistic Schrodinger symmetry can be generalised to a twenty one dimensional family of solutions with that symmetry. Our solutions include IIB backgrounds with no three form flux turned on, and arise as near horizon limits of branewave spacetimes. We show that there is a hypersurface in the space of these theories where an instability appears in the gravitational description, indicating a phase transition in the nonrelativistic field theory dual. We also present simple embeddings of duals for nonrelativistic critical points where the dynamical critical exponent can take many values z \neq 2.

[ { "created": "Thu, 2 Oct 2008 16:12:14 GMT", "version": "v1" }, { "created": "Sun, 2 Nov 2008 00:13:37 GMT", "version": "v2" } ]

2008-12-25

[ [ "Hartnoll", "Sean A.", "" ], [ "Yoshida", "Kentaroh", "" ] ]

We show that the recent string theory embedding of a spacetime with nonrelativistic Schrodinger symmetry can be generalised to a twenty one dimensional family of solutions with that symmetry. Our solutions include IIB backgrounds with no three form flux turned on, and arise as near horizon limits of branewave spacetimes. We show that there is a hypersurface in the space of these theories where an instability appears in the gravitational description, indicating a phase transition in the nonrelativistic field theory dual. We also present simple embeddings of duals for nonrelativistic critical points where the dynamical critical exponent can take many values z \neq 2.

12.673651

13.692213

14.448569

12.057435

13.457956

13.139683

13.277195

11.581182

12.571609

14.540308

11.357299

11.980904

13.664212

11.901592

12.459863

11.842071

11.92993

11.815057

12.229102

13.245236

11.67592

hep-th/0601196

Oliver Schroeder

Quantum stabilization of Z-strings in the electroweak model

8 pages LaTex, talk presented at the 7th Workshop On Quantum Field Theory Under The Influence Of External Conditions (QFEXT 05),5-9 Sep 2005, Barcelona, Catalonia, Spain

J.Phys. A39 (2006) 6733-6740

10.1088/0305-4470/39/21/S74

null

hep-th

null

We study the quantum energy of the Z-string in 2+1 dimensions using the phase shift formalism. Our main interest is the question of stability of a Z-string carrying a finite fermion number.

[ { "created": "Thu, 26 Jan 2006 14:51:50 GMT", "version": "v1" } ]

2009-11-11

[ [ "Schroeder", "Oliver", "" ] ]

We study the quantum energy of the Z-string in 2+1 dimensions using the phase shift formalism. Our main interest is the question of stability of a Z-string carrying a finite fermion number.

16.846003

10.498687

12.973115

10.30048

11.087269

10.030883

10.067924

10.942827

11.144006

14.396345

11.634917

12.939419

14.863146

12.597748

13.062787

13.460214

12.556452

13.350253

13.118267

14.433624

12.712069

hep-th/0510230

Vladimir Karmanov

J.-F. Mathiot, V.A. Karmanov and A.V. Smirnov

Non-perturbative renormalization in Light Front Dynamics with Fock space truncation

7 pages, 6 figures, to appear in the proceedings of the Workshop on Light-Cone QCD and Nonperturbative Hadron Physics, Cairns, Australia, July 7-15, 2005

null

10.1016/j.nuclphysbps.2006.08.014

null

hep-th hep-ph

null

Within the framework of the Covariant formulation of Light-Front Dynamics, we develop a general non-perturbative renormalization scheme based on the Fock decomposition of the state vector and its truncation. The explicit dependence of our formalism on the orientation of the light front is essential in order to analyze the structure of the counterterms and bare parameters needed to renormalize the theory. We present here a general strategy to determine the dependence of these quantities on the Fock sectors. We apply our formalism to QED for the two-body (one fermion and one boson) truncation and recover analytically, without any perturbative expansion, the renormalization of the electric charge according to the requirements of the Ward Identity.

[ { "created": "Thu, 27 Oct 2005 09:47:10 GMT", "version": "v1" } ]

2009-11-11

[ [ "Mathiot", "J. -F.", "" ], [ "Karmanov", "V. A.", "" ], [ "Smirnov", "A. V.", "" ] ]

Within the framework of the Covariant formulation of Light-Front Dynamics, we develop a general non-perturbative renormalization scheme based on the Fock decomposition of the state vector and its truncation. The explicit dependence of our formalism on the orientation of the light front is essential in order to analyze the structure of the counterterms and bare parameters needed to renormalize the theory. We present here a general strategy to determine the dependence of these quantities on the Fock sectors. We apply our formalism to QED for the two-body (one fermion and one boson) truncation and recover analytically, without any perturbative expansion, the renormalization of the electric charge according to the requirements of the Ward Identity.

8.763556

8.087158

8.157681

7.482428

8.787129

7.547945

8.019154

7.4331

7.26087

9.328317

7.716081

7.944321

8.076015

7.988128

7.964944

7.904385

8.081923

7.938754

7.662334

8.010721

7.987221

hep-th/0012028

Jose M. Carmona

J.M. Carmona, J.L. Cortes

Infrared and ultraviolet cutoffs of quantum field theory

5 pages, no figures; general discussion improved, main results unchanged. Version to appear in PRD

Phys.Rev. D65 (2002) 025006

10.1103/PhysRevD.65.025006

null

hep-th hep-ph

null

Quantum gravity arguments and the entropy bound for effective field theories proposed in PRL 82, 4971 (1999) lead to consider two correlated scales which parametrize departures from relativistic quantum field theory at low and high energies. A simple estimate of their possible phenomenological implications leads to identify a scale of around 100 TeV as an upper limit on the domain of validity of a quantum field theory description of Nature. This fact agrees with recent theoretical developments in large extra dimensions. Phenomenological consequences in the beta-decay spectrum and cosmic ray physics associated to possible Lorentz invariance violations induced by the infrared scale are discussed. It is also suggested that this scale might produce new unexpected effects at the quantum level.

[ { "created": "Tue, 5 Dec 2000 12:20:10 GMT", "version": "v1" }, { "created": "Fri, 21 Sep 2001 15:27:39 GMT", "version": "v2" } ]

2012-03-15

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

Quantum gravity arguments and the entropy bound for effective field theories proposed in PRL 82, 4971 (1999) lead to consider two correlated scales which parametrize departures from relativistic quantum field theory at low and high energies. A simple estimate of their possible phenomenological implications leads to identify a scale of around 100 TeV as an upper limit on the domain of validity of a quantum field theory description of Nature. This fact agrees with recent theoretical developments in large extra dimensions. Phenomenological consequences in the beta-decay spectrum and cosmic ray physics associated to possible Lorentz invariance violations induced by the infrared scale are discussed. It is also suggested that this scale might produce new unexpected effects at the quantum level.

13.851249

14.514653

13.496541

13.740118

14.642326

14.074013

12.899619

13.345743

13.373808

14.035062

13.164672

13.556606

13.291602

13.322977

13.364635

13.324822

13.63892

12.893909

13.388087

13.684742

13.217127

2307.15742

Yu-Tse Lee

Nathaniel Craig, Yu-Tse Lee

Effective Field Theories on the Jet Bundle

7+8 pages. v2: Journal version

null

10.1103/PhysRevLett.132.061602

null

hep-th hep-ph

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

We develop a generalized field space geometry for higher-derivative scalar field theories, expressing scattering amplitudes in terms of a covariant geometry on the all-order jet bundle. The incorporation of spacetime and field derivative coordinates solves complications due to higher-order derivatives faced by existing approaches to field space geometry. We identify a jet bundle analog to the field space metric that, besides field redefinitions, exhibits invariance under total derivatives. The invariance consequently extends to its amplitude contributions and the canonical covariant geometry.

[ { "created": "Fri, 28 Jul 2023 18:00:09 GMT", "version": "v1" }, { "created": "Thu, 8 Feb 2024 19:47:27 GMT", "version": "v2" } ]

2024-02-12

[ [ "Craig", "Nathaniel", "" ], [ "Lee", "Yu-Tse", "" ] ]

We develop a generalized field space geometry for higher-derivative scalar field theories, expressing scattering amplitudes in terms of a covariant geometry on the all-order jet bundle. The incorporation of spacetime and field derivative coordinates solves complications due to higher-order derivatives faced by existing approaches to field space geometry. We identify a jet bundle analog to the field space metric that, besides field redefinitions, exhibits invariance under total derivatives. The invariance consequently extends to its amplitude contributions and the canonical covariant geometry.

24.569901

23.851669

21.155642

22.690636

24.706556

22.913965

22.824675

23.759214

20.774647

27.695086

21.584141

21.534533

24.637064

23.520187

22.650547

22.54034

21.374445

24.097656

23.410021

23.884596

20.744322

0906.0261

Oscar Varela

Eoin 'O Colgain, Oscar Varela and Hossein Yavartanoo

Non-relativistic M-Theory solutions based on Kaehler-Einstein spaces

1+12 pages. v2: minor typos corrected. v3: Minor typos corrected and some more details given in section 3. To appear in JHEP

JHEP 0907:081,2009

10.1088/1126-6708/2009/07/081

AEI-2009-052, KIAS-P09035

hep-th

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

We present new families of non-supersymmetric solutions of D=11 supergravity with non-relativistic symmetry, based on six-dimensional Kaehler-Einstein manifolds. In constructing these solutions, we make use of a consistent reduction to a five-dimensional gravity theory coupled to a massive scalar and vector field. This theory admits a non-relativistic CFT dual with dynamical exponent z=4, which may be uplifted to D=11 supergravity. Finally, we generalise this solution and find new solutions with various z, including z=2.

[ { "created": "Mon, 1 Jun 2009 11:05:02 GMT", "version": "v1" }, { "created": "Tue, 2 Jun 2009 14:03:16 GMT", "version": "v2" }, { "created": "Tue, 21 Jul 2009 20:43:14 GMT", "version": "v3" } ]

2014-11-20

[ [ "Colgain", "Eoin 'O", "" ], [ "Varela", "Oscar", "" ], [ "Yavartanoo", "Hossein", "" ] ]

We present new families of non-supersymmetric solutions of D=11 supergravity with non-relativistic symmetry, based on six-dimensional Kaehler-Einstein manifolds. In constructing these solutions, we make use of a consistent reduction to a five-dimensional gravity theory coupled to a massive scalar and vector field. This theory admits a non-relativistic CFT dual with dynamical exponent z=4, which may be uplifted to D=11 supergravity. Finally, we generalise this solution and find new solutions with various z, including z=2.

7.178705

6.133787

7.402006

6.233564

6.237935

6.505484

5.945615

6.147736

6.048786

7.764442

6.008294

6.276227

7.301617

6.52688

6.306904

6.42353

6.345775

6.345472

6.4445

7.466503

6.23809

hep-th/0112017

Carbonell

M. Mangin-Brinet, J. Carbonell and V. A. Karmanov

Stability of two-fermion bound states in the explicitly covariant Light-Front Dynamics

5 pages, 8 figures, to be published in Nucl. Phys. B (Proc. Suppl.), contribution to the XIth Light-cone Meeting at ECT* in Trento, Sep 3-11, 2001

Nucl.Phys.Proc.Suppl. 108 (2002) 259-263

10.1016/S0920-5632(02)01340-3

null

hep-th nucl-th

null

The covariant light-front equations have been solved exactly for a two fermion system with different boson exchange ladder kernels. We present a method to study the cutoff dependence of these equations and to determine whether they need to be regularized or not. Results are presented for scalar and pseudo-scalar exchange. This latter furthermore exhibits some strange particularities which will be discussed.

[ { "created": "Mon, 3 Dec 2001 15:31:14 GMT", "version": "v1" } ]

2009-11-07

[ [ "Mangin-Brinet", "M.", "" ], [ "Carbonell", "J.", "" ], [ "Karmanov", "V. A.", "" ] ]

The covariant light-front equations have been solved exactly for a two fermion system with different boson exchange ladder kernels. We present a method to study the cutoff dependence of these equations and to determine whether they need to be regularized or not. Results are presented for scalar and pseudo-scalar exchange. This latter furthermore exhibits some strange particularities which will be discussed.

20.101072

20.698711

17.186007

17.112764

18.221651

19.940199

18.615416

17.479256

17.554073

19.962414

18.287334

18.348543

18.120146

18.112415

19.078211

18.915716

18.125893

18.390907

17.510267

18.581631

18.566282

1802.09027

Jian-Pin Wu

Jian-Pin Wu, Baicheng Xu, Guoyang Fu

Holographic fermionic spectrum with Weyl correction

11 pages,3 figures

null

10.1142/S0217732319500457

null

hep-th

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

We study the ferminoic spectrum with Weyl correction, which exhibits the non-Fermi liquid behavior. Also, we find that both the height of the peak of the fermionic spectrum and the dispersion relation exhibit a nonlinearity with the variety of the Weyl coupling parameter $\gamma$, which mean that such nonlinearity maybe ascribe to the one of the Maxwell field. Another important property of this system is that for the holographic fermionic system with $\gamma<0$, the degree of the deviation from Fermi liquid is heavier than that for the one with $\gamma>0$. It indicates that there is a transition of coupling strength in the dual boundary field theory.

[ { "created": "Sun, 25 Feb 2018 16:06:03 GMT", "version": "v1" } ]

2019-03-27

[ [ "Wu", "Jian-Pin", "" ], [ "Xu", "Baicheng", "" ], [ "Fu", "Guoyang", "" ] ]

We study the ferminoic spectrum with Weyl correction, which exhibits the non-Fermi liquid behavior. Also, we find that both the height of the peak of the fermionic spectrum and the dispersion relation exhibit a nonlinearity with the variety of the Weyl coupling parameter $\gamma$, which mean that such nonlinearity maybe ascribe to the one of the Maxwell field. Another important property of this system is that for the holographic fermionic system with $\gamma<0$, the degree of the deviation from Fermi liquid is heavier than that for the one with $\gamma>0$. It indicates that there is a transition of coupling strength in the dual boundary field theory.

13.426193

12.55752

13.674244

11.966125

12.78322

13.00234

12.934726

11.539237

14.033349

14.063809

13.277857

13.01239

13.450213

12.532235

13.176384

13.286676

12.694435

12.598976

13.553911

13.783934

12.616916

1411.2477

Nikhil Karthik

Nikhil Karthik and Rajamani Narayanan

The equation of state of two dimensional Yang-Mills theory

11 pages, 7 figures

Phys. Rev. D 90, 125010 (2014)

10.1103/PhysRevD.90.125010

null

hep-th hep-lat

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

We study the pressure, $P$, of SU($N$) gauge theory on a two-dimensional torus as a function of area, $A=l/t$. We find a cross-over scale that separates the system on a large circle from a system on a small circle at any finite temperature. The cross-over scale approaches zero with increasing $N$ and the cross-over becomes a first order transition as $N\to\infty$ and $l\to 0$ with the limiting value of $2Pl/(N-1)t$ depending on the fixed value of $Nl$.

[ { "created": "Mon, 10 Nov 2014 15:55:52 GMT", "version": "v1" } ]

2014-12-17

[ [ "Karthik", "Nikhil", "" ], [ "Narayanan", "Rajamani", "" ] ]

We study the pressure, $P$, of SU($N$) gauge theory on a two-dimensional torus as a function of area, $A=l/t$. We find a cross-over scale that separates the system on a large circle from a system on a small circle at any finite temperature. The cross-over scale approaches zero with increasing $N$ and the cross-over becomes a first order transition as $N\to\infty$ and $l\to 0$ with the limiting value of $2Pl/(N-1)t$ depending on the fixed value of $Nl$.

9.255455

9.498928

9.554442

8.652305

9.79731

9.050261

10.005116

9.938049

9.164447

9.586423

8.61334

8.727887

8.915543

8.539949

8.69432

8.793715

9.077806

9.29905

8.837004

9.541373

8.782248

hep-th/9910263

Bin Chen

B. Chen, H. Itoyama, T. Matsuo and K. Murakami

p-p' System with B-field, Branes at Angles and Noncommutative Geometry

21 pages, Latex. References regarding to section 3 and 4 added. Typos corrected

Nucl.Phys. B576 (2000) 177-195

10.1016/S0550-3213(00)00073-0

OU-HET 330

hep-th

null

We study the generic $p-p^\prime$ system in the presence of constant NS 2-form $B_{ij}$ field. We derive properties concerning with the noncommutativity of D-brane worldvolume, the Green functions and the spectrum of this system. In the zero slope limit, a large number of light states appear as the lowest excitations in appropriate cases. We are able to relate the energies of the lowest states after the GSO projection with the configurations of branes at angles. Through analytic continuation, the system is compared with the branes with relative motion.

[ { "created": "Mon, 1 Nov 1999 09:49:36 GMT", "version": "v1" }, { "created": "Fri, 5 Nov 1999 09:47:17 GMT", "version": "v2" } ]

2009-10-31

[ [ "Chen", "B.", "" ], [ "Itoyama", "H.", "" ], [ "Matsuo", "T.", "" ], [ "Murakami", "K.", "" ] ]

We study the generic $p-p^\prime$ system in the presence of constant NS 2-form $B_{ij}$ field. We derive properties concerning with the noncommutativity of D-brane worldvolume, the Green functions and the spectrum of this system. In the zero slope limit, a large number of light states appear as the lowest excitations in appropriate cases. We are able to relate the energies of the lowest states after the GSO projection with the configurations of branes at angles. Through analytic continuation, the system is compared with the branes with relative motion.

17.98587

15.139433

23.069792

15.268355

16.127098

15.019691

16.05813

16.70862

15.606048

22.627234

14.38507

15.055765

20.815971

16.585047

16.107965

15.006189

15.717749

15.494947

15.784881

20.359224

14.79646

0803.2030

Samir Mathur

Samir D. Mathur

What Exactly is the Information Paradox?

Latex, 43 pages, 17 figures (Proceedings of the 4th Aegean Summer School on Black Holes, Mytilene (Greece), September 2007)

Lect.Notes Phys.769:3-48,2009

10.1007/978-3-540-88460-6_1

null

hep-th

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

The black hole information paradox tells us something important about the way quantum mechanics and gravity fit together. In these lectures I try to give a pedagogical review of the essential physics leading to the paradox, using mostly pictures. Hawking's argument is recast as a `theorem': if quantum gravity effects are confined to within a given length scale and the vacuum is assumed to be unique, then there will be information loss. We conclude with a brief summary of how quantum effects in string theory violate the first condition and make the interior of the hole a `fuzzball'.

[ { "created": "Thu, 13 Mar 2008 18:52:29 GMT", "version": "v1" } ]

2009-01-28

[ [ "Mathur", "Samir D.", "" ] ]

The black hole information paradox tells us something important about the way quantum mechanics and gravity fit together. In these lectures I try to give a pedagogical review of the essential physics leading to the paradox, using mostly pictures. Hawking's argument is recast as a `theorem': if quantum gravity effects are confined to within a given length scale and the vacuum is assumed to be unique, then there will be information loss. We conclude with a brief summary of how quantum effects in string theory violate the first condition and make the interior of the hole a `fuzzball'.

12.864374

11.697743

14.156905

11.254258

12.176527

12.485977

10.983679

12.857594

11.819581

14.046173

12.375208

12.407026

12.202023

12.035349

11.802224

11.659824

11.958248

12.119145

12.165802

12.868711

12.142535

1104.2623

Hong Lu

Haishan Liu, H. Lu and Mingxing Luo

On Black Hole Stability in Critical Gravities

16 pages, minor corrections, further comments and references added

null

10.1142/S0218271812500204

CAS-KITPC/ITP-255

hep-th gr-qc

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

We consider extended cosmological gravities with Ricci tensor and scalar squared terms in diverse dimensions. These theories admit solutions of Einstein metrics, including the Schwarzschild-Tangherlini AdS black holes, whose mass and entropy vanish at the critical point. We perform linearized analysis around the black holes and show that in general the spectrum consists of the usual spin-2 massless and ghost massive modes. We demonstrate that there is no exponentially-growing tachyon mode in the black holes. At the critical point, the massless spin-2 modes have zero energy whilst the massive spin-2 modes are replaced by the log modes. There always exist certain linear combination of massless and log modes that has negative energy. Thus the stability of the black holes requires that the log modes to be truncated out by the boundary condition.

[ { "created": "Wed, 13 Apr 2011 21:25:19 GMT", "version": "v1" }, { "created": "Mon, 9 May 2011 03:16:18 GMT", "version": "v2" } ]

2015-05-27

[ [ "Liu", "Haishan", "" ], [ "Lu", "H.", "" ], [ "Luo", "Mingxing", "" ] ]

We consider extended cosmological gravities with Ricci tensor and scalar squared terms in diverse dimensions. These theories admit solutions of Einstein metrics, including the Schwarzschild-Tangherlini AdS black holes, whose mass and entropy vanish at the critical point. We perform linearized analysis around the black holes and show that in general the spectrum consists of the usual spin-2 massless and ghost massive modes. We demonstrate that there is no exponentially-growing tachyon mode in the black holes. At the critical point, the massless spin-2 modes have zero energy whilst the massive spin-2 modes are replaced by the log modes. There always exist certain linear combination of massless and log modes that has negative energy. Thus the stability of the black holes requires that the log modes to be truncated out by the boundary condition.

11.215855

11.342811

12.297141

10.422595

11.108952

10.617932

10.846345

10.975681

10.823254

11.308272

10.969958

10.679792

11.175876

10.838186

10.676941

10.853472

11.083751

10.481227

10.483884

11.377084

10.564384

hep-th/0607181

Shinji Mukohyama

Accelerating Universe and Cosmological Perturbation in the Ghost Condensate

30 pages; typos corrected; version accepted for publication in JCAP

JCAP0610:011,2006

10.1088/1475-7516/2006/10/011

UTAP-564, RESCEU-20/06

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

null

In the simplest Higgs phase of gravity called ghost condensation, an accelerating universe with a phantom era (w<-1) can be realized without ghost or any other instabilities. In this paper we show how to reconstruct the potential in the Higgs sector Lagrangian from a given cosmological history (H(t), \rho(t)). This in principle allows us to constrain the potential by geometrical information of the universe such as supernova distance-redshift relation. We also derive the evolution equation for cosmological perturbations in the Higgs phase of gravity by employing a systematic low energy expansion. This formalism is expected to be useful to test the theory by dynamical information of large scale structure in the universe such as cosmic microwave background anisotropy, weak gravitational lensing and galaxy clustering.

[ { "created": "Tue, 25 Jul 2006 12:25:36 GMT", "version": "v1" }, { "created": "Sat, 12 Aug 2006 10:55:59 GMT", "version": "v2" }, { "created": "Wed, 27 Sep 2006 00:04:07 GMT", "version": "v3" } ]

2009-11-11

[ [ "Mukohyama", "Shinji", "" ] ]

In the simplest Higgs phase of gravity called ghost condensation, an accelerating universe with a phantom era (w<-1) can be realized without ghost or any other instabilities. In this paper we show how to reconstruct the potential in the Higgs sector Lagrangian from a given cosmological history (H(t), \rho(t)). This in principle allows us to constrain the potential by geometrical information of the universe such as supernova distance-redshift relation. We also derive the evolution equation for cosmological perturbations in the Higgs phase of gravity by employing a systematic low energy expansion. This formalism is expected to be useful to test the theory by dynamical information of large scale structure in the universe such as cosmic microwave background anisotropy, weak gravitational lensing and galaxy clustering.

9.157342

8.970671

8.31895

7.726803

8.775298

8.933769

9.36947

7.899529

8.434213

8.909354

8.385285

7.946513

7.90076

8.119702

8.136045

7.982512

7.959496

7.950083

8.037924

7.774647

8.285048

hep-th/0005261

Damiano Anselmi

D. Anselmi

Large-N expansion, conformal field theory and renormalization-group flows in three dimensions

15 pages, 3 figures; references added and some misprint corrected

JHEP 0006 (2000) 042

10.1088/1126-6708/2000/06/042

CERN-TH/2000-139

hep-th

null

I study a class of interacting conformal field theories and conformal windows in three dimensions, formulated using the Parisi large-N approach and a modified dimensional-regularization technique. Bosons are associated with composite operators and their propagators are dynamically generated by fermion bubbles. Renormalization-group flows between pairs of interacting fixed points satisfy a set of non-perturbative g <-> 1/g dualities. There is an exact relation between the beta function and the anomalous dimension of the composite boson. Non-Abelian gauge fields have a non-renormalized and quantized gauge coupling, although no Chern-Simons term is present. A problem of the naive dimensional-regularization technique for these theories is uncovered and removed with a non-local, evanescent, non-renormalized kinetic term. The models are expected to be a fruitful arena for the study of odd-dimensional conformal field theory.

[ { "created": "Mon, 29 May 2000 14:56:13 GMT", "version": "v1" }, { "created": "Wed, 31 May 2000 16:41:04 GMT", "version": "v2" } ]

2009-10-31

[ [ "Anselmi", "D.", "" ] ]

I study a class of interacting conformal field theories and conformal windows in three dimensions, formulated using the Parisi large-N approach and a modified dimensional-regularization technique. Bosons are associated with composite operators and their propagators are dynamically generated by fermion bubbles. Renormalization-group flows between pairs of interacting fixed points satisfy a set of non-perturbative g <-> 1/g dualities. There is an exact relation between the beta function and the anomalous dimension of the composite boson. Non-Abelian gauge fields have a non-renormalized and quantized gauge coupling, although no Chern-Simons term is present. A problem of the naive dimensional-regularization technique for these theories is uncovered and removed with a non-local, evanescent, non-renormalized kinetic term. The models are expected to be a fruitful arena for the study of odd-dimensional conformal field theory.

11.084888

11.696036

12.086234

10.9326

11.975995

11.77429

10.979669

10.869198

11.064575

12.809873

10.880183

10.655415

10.438749

10.652873

10.64341

11.004198

10.726005

10.950903

10.554586

10.870385

10.929543

hep-th/9409157

Shinsuke Nishigaki

S.Higuchi, C.Itoi, S.Nishigaki and N.Sakai

Large N Renormalization Group Approach to Matrix Models

5 pages in LaTeX (including 2 figures), SPhT94/110, NUP-A-94-17, TIT/HEP-270 (A talk given by N.Sakai at the XXth International Colloquium on Group Theoretical Methods in Physics, Toyonaka, July 1994)

null

hep-th

null

We summarize our recent results on the large N renormalization group (RG) approach to matrix models for discretized two-dimensional quantum gravity. We derive exact RG equations by solving the reparametrization identities, which reduce infinitely many induced interactions to a finite number of them. We find a nonlinear RG equation and an algorithm to obtain the fixed points and the scaling exponents. They reproduce the spectrum of relevant operators in the exact solution. The RG flow is visualized by the linear approximation.

[ { "created": "Tue, 27 Sep 1994 04:17:03 GMT", "version": "v1" } ]

2007-05-23

[ [ "Higuchi", "S.", "" ], [ "Itoi", "C.", "" ], [ "Nishigaki", "S.", "" ], [ "Sakai", "N.", "" ] ]

We summarize our recent results on the large N renormalization group (RG) approach to matrix models for discretized two-dimensional quantum gravity. We derive exact RG equations by solving the reparametrization identities, which reduce infinitely many induced interactions to a finite number of them. We find a nonlinear RG equation and an algorithm to obtain the fixed points and the scaling exponents. They reproduce the spectrum of relevant operators in the exact solution. The RG flow is visualized by the linear approximation.

12.874404

11.350824

13.457507

11.578612

10.854367

10.551962

11.294022

10.968164

11.085037

13.838757

11.242121

11.449449

12.79816

10.988103

11.272923

11.240055

11.207073

11.162456

11.477754

12.47907

11.113834

1303.2665

Mehrdad Mirbabayi

Mehrdad Mirbabayi and Andrei Gruzinov

Black hole discharge in massive electrodynamics and black hole disappearance in massive gravity

20+13 pages, 2 figures; added references and a comment about bimetric gravity

null

10.1103/PhysRevD.88.064008

null

hep-th astro-ph.CO gr-qc

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

We define and calculate the "discharge mode" for a Schwarzschild black hole in massive electrodynamics. For small photon mass, the discharge mode describes the decay of the electric field of a charged star collapsing into a black hole. We argue that a similar "discharge of mass" occurs in massive gravity and leads to a strange process of black hole disappearance.

[ { "created": "Mon, 11 Mar 2013 20:04:33 GMT", "version": "v1" }, { "created": "Wed, 27 Mar 2013 20:26:15 GMT", "version": "v2" } ]

2013-09-11

[ [ "Mirbabayi", "Mehrdad", "" ], [ "Gruzinov", "Andrei", "" ] ]

We define and calculate the "discharge mode" for a Schwarzschild black hole in massive electrodynamics. For small photon mass, the discharge mode describes the decay of the electric field of a charged star collapsing into a black hole. We argue that a similar "discharge of mass" occurs in massive gravity and leads to a strange process of black hole disappearance.

12.567763

13.249614

11.249556

10.96922

13.522837

12.831493

14.120831

12.064095

12.750985

10.652984

12.638178

12.327641

10.913966

11.230028

11.904535

11.944639

13.059467

11.291211

11.92912

10.701332

12.305904

1006.3349

Gaston Giribet

Gaston Giribet, Mauricio Leston

Boundary stress tensor and counterterms for weakened AdS_3 asymptotic in New Massive Gravity

13 pages. v2 minor typos corrected

JHEP 1009:070,2010

10.1007/JHEP09(2010)070

null

hep-th gr-qc

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

Resorting to the notion of a stress tensor induced on the boundary of a spacetime, we compute the conserved charges associated to exact solutions of New Massive Gravity that obey weakened versions of AdS_3 asymptotic boundary conditions. The computation requires the introduction of additional counterterms, which play the role of regularizing the semiclassical stress tensor in the boundary theory. We show that, if treated appropriately, different ways of prescribing asymptotically AdS_3 boundary conditions yield finite conserved charges for the solutions. The consistency of the construction manifests itself in that the charges of hairy asymptotically AdS_3 black holes computed by this holography-inspired method exactly match the values required for the Cardy formula to reproduce the black hole entropy. We also consider new solutions to the equations of motion of New Massive Gravity, which happen to fulfill Brown-Henneaux boundary conditions despite not being Einstein manifolds. These solutions are shown to yield vanishing boundary stress tensor. The results obtained in this paper can be regarded as consistency checks for the prescription proposed in arXiv:1001.3598.

[ { "created": "Thu, 17 Jun 2010 00:18:11 GMT", "version": "v1" }, { "created": "Fri, 5 Aug 2011 16:52:34 GMT", "version": "v2" } ]

2011-08-08

[ [ "Giribet", "Gaston", "" ], [ "Leston", "Mauricio", "" ] ]

Resorting to the notion of a stress tensor induced on the boundary of a spacetime, we compute the conserved charges associated to exact solutions of New Massive Gravity that obey weakened versions of AdS_3 asymptotic boundary conditions. The computation requires the introduction of additional counterterms, which play the role of regularizing the semiclassical stress tensor in the boundary theory. We show that, if treated appropriately, different ways of prescribing asymptotically AdS_3 boundary conditions yield finite conserved charges for the solutions. The consistency of the construction manifests itself in that the charges of hairy asymptotically AdS_3 black holes computed by this holography-inspired method exactly match the values required for the Cardy formula to reproduce the black hole entropy. We also consider new solutions to the equations of motion of New Massive Gravity, which happen to fulfill Brown-Henneaux boundary conditions despite not being Einstein manifolds. These solutions are shown to yield vanishing boundary stress tensor. The results obtained in this paper can be regarded as consistency checks for the prescription proposed in arXiv:1001.3598.

9.850477

9.407434

9.91409

8.91118

9.170184

9.125628

9.418365

9.071836

9.440052

10.561136

8.683543

8.723438

9.218118

8.886611

8.79623

8.894761

8.899481

8.63619

9.04058

9.290636

8.7669

hep-th/9604079

Marek Grabowski

M. P. Grabowski and P. Mathieu

The Structure of Conserved Charges in Open Spin Chains

22 pages, harvmac.tex (minor clarifications and reference corrections added)

J.Phys.A29:7635-7650,1996

10.1088/0305-4470/29/23/024

LAVAL-PHY-22/96

hep-th cond-mat

null

We study the local conserved charges in integrable spin chains of the XYZ type with nontrivial boundary conditions. The general structure of these charges consists of a bulk part, whose density is identical to that of a periodic chain, and a boundary part. In contrast with the periodic case, only charges corresponding to interactions of even number of spins exist for the open chain. Hence, there are half as many charges in the open case as in the closed case. For the open spin-1/2 XY chain, we derive the explicit expressions of all the charges. For the open spin-1/2 XXX chain, several lowest order charges are presented and a general method of obtaining the boundary terms is indicated. In contrast with the closed case, the XXX charges cannot be described in terms of a Catalan tree pattern.

[ { "created": "Mon, 15 Apr 1996 21:48:29 GMT", "version": "v1" }, { "created": "Fri, 13 Sep 1996 00:49:04 GMT", "version": "v2" } ]

2008-11-26

[ [ "Grabowski", "M. P.", "" ], [ "Mathieu", "P.", "" ] ]

We study the local conserved charges in integrable spin chains of the XYZ type with nontrivial boundary conditions. The general structure of these charges consists of a bulk part, whose density is identical to that of a periodic chain, and a boundary part. In contrast with the periodic case, only charges corresponding to interactions of even number of spins exist for the open chain. Hence, there are half as many charges in the open case as in the closed case. For the open spin-1/2 XY chain, we derive the explicit expressions of all the charges. For the open spin-1/2 XXX chain, several lowest order charges are presented and a general method of obtaining the boundary terms is indicated. In contrast with the closed case, the XXX charges cannot be described in terms of a Catalan tree pattern.

7.873533

7.858097

9.258763

7.90675

8.581877

7.696569

8.014519

7.762947

7.824159

9.337482

7.963679

7.879332

8.153765

7.588925

7.837332

7.805508

7.861385

7.558539

7.649429

8.231302

7.554084

1912.00607

Shao-Jiang Wang

Rong-Gen Cai, Shao-Jiang Wang

A refined trans-Planckian censorship conjecture

v1, 6 pages; v2, 8 pages, references added, discussion added for eternal inflation; v3, 9 pages, references added, a discussion section added, accepted by Sci.China Phys.Mech.Astron

SCIENCE CHINA Physics, Mechanics & Astronomy, Volume 64 , Issue 1 : 210011(2021)

10.1007/s11433-020-1623-9

null

hep-th astro-ph.CO gr-qc

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

We propose a refined version of trans-Planckian censorship conjecture (TCC), which could be elaborated from the strong scalar weak gravity conjecture combined with some entropy bounds. In particular, no fine-tuning on the inflation model-building is required in the refined TCC, and it automatically passes the tests from those stringy examples that support the original TCC. Furthermore, our refined TCC could be consistent with hilltop eternal inflation.

[ { "created": "Mon, 2 Dec 2019 07:32:41 GMT", "version": "v1" }, { "created": "Thu, 12 Dec 2019 17:54:11 GMT", "version": "v2" }, { "created": "Tue, 8 Sep 2020 22:35:33 GMT", "version": "v3" } ]

2020-11-30

[ [ "Cai", "Rong-Gen", "" ], [ "Wang", "Shao-Jiang", "" ] ]

We propose a refined version of trans-Planckian censorship conjecture (TCC), which could be elaborated from the strong scalar weak gravity conjecture combined with some entropy bounds. In particular, no fine-tuning on the inflation model-building is required in the refined TCC, and it automatically passes the tests from those stringy examples that support the original TCC. Furthermore, our refined TCC could be consistent with hilltop eternal inflation.

13.654042

11.14145

13.061064

12.768414

13.181484

11.962616

11.766579

12.320812

12.369075

14.228822

12.194342

12.178696

12.481656

11.844035

12.397696

13.161866

12.897676

12.167024

12.247399

12.401285

12.893565

hep-th/9908108

Dr Tsou Sheung Tsun

S.T. Tsou and I.P. Zois (Mathematical Institute, Oxford)

Geometry of the non-Abelian 2-index potential and twisted de Rham cohomology

11 pages, Latex; to appear in Repts. on Math. Phys

Rept.Math.Phys. 45 (2000) 229-237

10.1016/S0034-4877(00)89034-5

null

hep-th

null

It is found that the 2-index potential in nonabelian theories does not behave geometrically as a connection but that, considered as an element of the second de Rham cohomology group twisted by a flat connection, it fits well with all the properties assigned to it in various physical contexts. We also prove some results on the Euler characteristic of the twisted de Rham complex. Finally, provided that some conditions are satisfied, we propose a non-Abelian generalisation of S-duality.

[ { "created": "Mon, 16 Aug 1999 12:23:50 GMT", "version": "v1" } ]

2015-06-26

[ [ "Tsou", "S. T.", "", "Mathematical Institute, Oxford" ], [ "Zois", "I. P.", "", "Mathematical Institute, Oxford" ] ]

It is found that the 2-index potential in nonabelian theories does not behave geometrically as a connection but that, considered as an element of the second de Rham cohomology group twisted by a flat connection, it fits well with all the properties assigned to it in various physical contexts. We also prove some results on the Euler characteristic of the twisted de Rham complex. Finally, provided that some conditions are satisfied, we propose a non-Abelian generalisation of S-duality.

15.351148

10.019209

15.235061

11.839326

9.929565

11.207269

10.752724

11.647493

11.758942

16.607687

12.109554

13.51905

14.444243

13.465622

13.424517

13.404438

13.805772

13.151113

13.699325

14.16077

14.095296

2003.01414

Atsushi Nakamula

Takumi Kato, Atsushi Nakamula, Koki Takesue

Symmetric calorons of higher charges and their large period limits

35 pages, 10 figures

null

10.1016/j.geomphys.2020.104071

null

hep-th math-ph math.MP

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

Periodic instantons, also called calorons, are the BPS solutions to the pure Yang-Mills theories on $\mathbb{R}^3\times S^1$. It is known that the calorons interconnect with the instantons and the BPS monopoles as the ratio of their size to the period of $S^1$ varies. We give, in this paper, the action density configurations of the $SU(2)$ calorons of higher instanton charges with several platonic symmetries through the numerical Nahm transform, after the construction of the analytic Nahm data. The calorons considered are 5-caloron with octahedral symmetry, 7-caloron with icosahedral symmetry, and 4-caloron interconnecting tetrahedral and octahedral symmetries. We also consider the large period, or the instanton, limits of the Nahm data, i.e., the ADHM limits, and observe the similar spatial distributions of the action densities with the calorons.

[ { "created": "Tue, 3 Mar 2020 09:53:56 GMT", "version": "v1" } ]

2021-02-03

[ [ "Kato", "Takumi", "" ], [ "Nakamula", "Atsushi", "" ], [ "Takesue", "Koki", "" ] ]

Periodic instantons, also called calorons, are the BPS solutions to the pure Yang-Mills theories on $\mathbb{R}^3\times S^1$. It is known that the calorons interconnect with the instantons and the BPS monopoles as the ratio of their size to the period of $S^1$ varies. We give, in this paper, the action density configurations of the $SU(2)$ calorons of higher instanton charges with several platonic symmetries through the numerical Nahm transform, after the construction of the analytic Nahm data. The calorons considered are 5-caloron with octahedral symmetry, 7-caloron with icosahedral symmetry, and 4-caloron interconnecting tetrahedral and octahedral symmetries. We also consider the large period, or the instanton, limits of the Nahm data, i.e., the ADHM limits, and observe the similar spatial distributions of the action densities with the calorons.

6.886333

6.832333

7.697191

6.512703

6.849378

6.274313

6.647057

6.204133

6.657001

8.425327

6.864338

6.359521

6.935289

6.530602

6.33653

6.268624

6.38697

6.585469

6.507427

7.180049

6.430413

0909.2854

Winder Alexander Moura-Melo

A.H. Gomes, J.M. Fonseca, W.A. Moura-Melo, A.R. Pereira

Testing CPT- and Lorentz-odd electrodynamics with waveguides

11pages, double-spacing, tex format

JHEP 1005:104,2010

10.1007/JHEP05(2010)104

null

hep-th

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

We study CPT- and Lorentz-odd electrodynamics described by the Standard Model Extension. Its radiation is confined to the geometry of hollow conductor waveguide, open along $z$. In a special class of reference frames, with vanishing both 0-th and $z$ components of the background field, $(k_{\rm AF})^\mu$, we realize a number of {\em huge and macroscopically detectable} effects on the confined waves spectra, compared to standard results. Particularly, if $(k_{\rm AF})^\mu$ points along $x$ (or $y$) direction only transverse electric modes, with $E_z=0$, should be observed propagating throughout the guide, while all the transverse magnetic, $B_z=0$, are absent. Such a strong mode suppression makes waveguides quite suitable to probe these symmetry violations using a simple and easily reproducible apparatus.

[ { "created": "Tue, 15 Sep 2009 19:01:59 GMT", "version": "v1" }, { "created": "Wed, 18 Nov 2009 16:28:17 GMT", "version": "v2" }, { "created": "Thu, 15 Apr 2010 18:59:36 GMT", "version": "v3" }, { "created": "Fri, 17 Sep 2010 20:26:46 GMT", "version": "v4" } ]

2011-08-05

[ [ "Gomes", "A. H.", "" ], [ "Fonseca", "J. M.", "" ], [ "Moura-Melo", "W. A.", "" ], [ "Pereira", "A. R.", "" ] ]

We study CPT- and Lorentz-odd electrodynamics described by the Standard Model Extension. Its radiation is confined to the geometry of hollow conductor waveguide, open along $z$. In a special class of reference frames, with vanishing both 0-th and $z$ components of the background field, $(k_{\rm AF})^\mu$, we realize a number of {\em huge and macroscopically detectable} effects on the confined waves spectra, compared to standard results. Particularly, if $(k_{\rm AF})^\mu$ points along $x$ (or $y$) direction only transverse electric modes, with $E_z=0$, should be observed propagating throughout the guide, while all the transverse magnetic, $B_z=0$, are absent. Such a strong mode suppression makes waveguides quite suitable to probe these symmetry violations using a simple and easily reproducible apparatus.

17.035847

18.125298

16.368

16.34454

18.353846

17.628952

18.516207

17.583349

16.806442

18.687061

16.042997

15.008207

15.452246

14.954141

15.96094

15.585355

15.53848

15.671522

14.777616

15.577198

15.716848

hep-th/0205220

Alain Riazuelo

Alain Riazuelo, Filippo Vernizzi, Dani\`ele Steer, Ruth Durrer

Gauge invariant cosmological perturbation theory for braneworlds

73 pages, 11 figures, submitted to PRD

null

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

null

We derive the gauge invariant perturbation equations for a 5-dimensional bulk spacetime in the presence of a brane. The equations are derived in full generality, without specifying a particular energy content of the bulk or the brane. We do not assume Z_2 symmetry, and show that the degree of freedom associated with brane motion plays a crucial role. Our formalism may also be used in the Z_2 symmetric case where it simplifies considerably.

[ { "created": "Tue, 21 May 2002 17:03:58 GMT", "version": "v1" } ]

2007-05-23

[ [ "Riazuelo", "Alain", "" ], [ "Vernizzi", "Filippo", "" ], [ "Steer", "Danièle", "" ], [ "Durrer", "Ruth", "" ] ]

We derive the gauge invariant perturbation equations for a 5-dimensional bulk spacetime in the presence of a brane. The equations are derived in full generality, without specifying a particular energy content of the bulk or the brane. We do not assume Z_2 symmetry, and show that the degree of freedom associated with brane motion plays a crucial role. Our formalism may also be used in the Z_2 symmetric case where it simplifies considerably.

7.796626

7.024865

6.939909

6.588256

7.705198

7.801085

7.317208

7.057385

7.046048

7.577259

7.234136

7.405596

6.99858

7.047837

7.025649

7.15305

7.536385

7.07847

7.193627

7.174528

6.855995

0907.0860

Yungui Gong

Yungui Gong, Tianjun Li

A Modified Holographic Dark Energy Model with Infrared Infinite Extra Dimension(s)

7 figures, use revtex, minor revisions, main results unchanged, PLB in press

Phys.Lett.B683:241-247,2010

10.1016/j.physletb.2009.12.040

CAS-KITPC/ITP-125, MIFP-09-28

hep-th

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

We propose a modified holographic dark energy (MHDE) model with the Hubble scale as the infrared (IR) cutoff. Introducing the infinite extra dimension(s) at very large distance scale, we consider the black hole mass in higher dimensions as the ultraviolet cutoff. Thus, we can probe the effects of the IR infinite extra dimension(s). As a concrete example, we consider the Dvali-Gabadadze-Porrati (DGP) model and its generalization. We find that the DGP model is dual to the MHDE model in five dimensions, and the $\Lambda$CDM model is dual to the MHDE model in six dimensions. Fitting the MHDE model to the observational data, we obtain that $\Omega_{m0}=0.269^{+0.030}_{-0.027}$, $\Omega_{k0}=0.003^{+0.011}_{-0.012}$, and the number of the spatial dimensions is $N=4.78^{+0.68}_{-0.44}$. The best fit value of $N$ implies that there might exist two IR infinite extra dimensions.

[ { "created": "Sun, 5 Jul 2009 14:11:25 GMT", "version": "v1" }, { "created": "Mon, 28 Dec 2009 13:32:59 GMT", "version": "v2" } ]

2010-01-21

[ [ "Gong", "Yungui", "" ], [ "Li", "Tianjun", "" ] ]

We propose a modified holographic dark energy (MHDE) model with the Hubble scale as the infrared (IR) cutoff. Introducing the infinite extra dimension(s) at very large distance scale, we consider the black hole mass in higher dimensions as the ultraviolet cutoff. Thus, we can probe the effects of the IR infinite extra dimension(s). As a concrete example, we consider the Dvali-Gabadadze-Porrati (DGP) model and its generalization. We find that the DGP model is dual to the MHDE model in five dimensions, and the $\Lambda$CDM model is dual to the MHDE model in six dimensions. Fitting the MHDE model to the observational data, we obtain that $\Omega_{m0}=0.269^{+0.030}_{-0.027}$, $\Omega_{k0}=0.003^{+0.011}_{-0.012}$, and the number of the spatial dimensions is $N=4.78^{+0.68}_{-0.44}$. The best fit value of $N$ implies that there might exist two IR infinite extra dimensions.

4.551891

4.786001

4.338598

4.285527

4.396556

4.666779

4.591883

4.1124

4.262525

4.542404

4.600599

4.364799

4.358349

4.202662

4.378106

4.399788

4.36429

4.326335

4.339038

4.308722

4.409597

1312.3308

Arturo Gomez

Fabrizio Canfora (CECS, Valdivia and Andres Bello Natl. U), Arturo J. G\'omez (Adolfo Ibanez U.), Silvio Paolo Sorella, David Vercauteren (Rio de Janeiro State U.)

Study of Yang-Mills-Chern-Simons theory in presence of the Gribov horizon

14 pages, 8 figures. Comments and references added. Annals of Physics 2014

null

10.1016/j.aop.2014.02.017

null

hep-th

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

The two-point gauge correlation function in Yang--Mills--Chern--Simons theory in three dimensional Euclidean space is analysed by taking into account the non-perturbative effects of the Gribov horizon. In this way, we are able to describe the confinement and de-confinement regimes, which naturally depend on the topological mass and on the gauge coupling constant of the theory.

[ { "created": "Wed, 11 Dec 2013 20:26:00 GMT", "version": "v1" }, { "created": "Tue, 17 Dec 2013 18:57:08 GMT", "version": "v2" }, { "created": "Mon, 17 Mar 2014 17:30:14 GMT", "version": "v3" } ]

2015-06-18

[ [ "Canfora", "Fabrizio", "", "CECS, Valdivia and Andres Bello Natl. U" ], [ "Gómez", "Arturo J.", "", "Adolfo Ibanez U." ], [ "Sorella", "Silvio Paolo", "", "Rio de\n Janeiro State U." ], [ "Vercauteren", "David", "", "Rio de\n Janeiro State U." ] ]

The two-point gauge correlation function in Yang--Mills--Chern--Simons theory in three dimensional Euclidean space is analysed by taking into account the non-perturbative effects of the Gribov horizon. In this way, we are able to describe the confinement and de-confinement regimes, which naturally depend on the topological mass and on the gauge coupling constant of the theory.

7.105837

6.686604

7.967869

6.412028

6.740145

6.477648

6.645226

6.348848

6.722032

8.444353

6.298247

6.42342

7.242779

6.59311

6.630129

6.917472

6.591931

6.482188

6.547797

7.119629

6.37027

2105.04483

Daniel Panea Lichtig

Giulio Bonelli, Cristoforo Iossa, Daniel Panea Lichtig, Alessandro Tanzini

Exact solution of Kerr black hole perturbations via CFT$_2$ and instanton counting. Greybody factor, Quasinormal modes and Love numbers

37 pages, 7 figures, comments welcome

null

10.1103/PhysRevD.105.044047

null

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

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

We give explicit expressions for the finite frequency greybody factor, quasinormal modes and Love numbers of Kerr black holes by computing the exact connection coefficients of the radial and angular parts of the Teukolsky equation. This is obtained by solving the connection problem of the confluent Heun equation in terms of the explicit expression of irregular Virasoro conformal blocks as sums over partitions via the AGT correspondence. In the relevant approximation limits our results are in agreement with existing literature. The method we use can be extended to solve the linearized Einstein equation in other interesting gravitational backgrounds.

[ { "created": "Mon, 10 May 2021 16:21:44 GMT", "version": "v1" }, { "created": "Wed, 13 Oct 2021 11:14:02 GMT", "version": "v2" } ]

2022-03-09

[ [ "Bonelli", "Giulio", "" ], [ "Iossa", "Cristoforo", "" ], [ "Lichtig", "Daniel Panea", "" ], [ "Tanzini", "Alessandro", "" ] ]

We give explicit expressions for the finite frequency greybody factor, quasinormal modes and Love numbers of Kerr black holes by computing the exact connection coefficients of the radial and angular parts of the Teukolsky equation. This is obtained by solving the connection problem of the confluent Heun equation in terms of the explicit expression of irregular Virasoro conformal blocks as sums over partitions via the AGT correspondence. In the relevant approximation limits our results are in agreement with existing literature. The method we use can be extended to solve the linearized Einstein equation in other interesting gravitational backgrounds.

12.510394

10.823137

12.417131

10.184452

11.994792

12.320662

11.680111

9.951775

10.329966

12.931176

10.142482

11.791392

11.912976

11.223527

11.529867

11.257597

11.440272

10.511325

11.262928

11.110264

11.29226

2301.01686

Harold Erbin

String Field Theory -- A Modern Introduction

This is a preprint of the following textbook: String Field Theory: A Modern Introduction, authored by Dr. Harold Erbin, 2021, Springer reproduced with permission of Springer. The final authenticated version is available online at: https://doi.org/10.1007/978-3-030-65321-7. 318 pages

null

10.1007/978-3-030-65321-7

null

hep-th

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

This book provides an introduction to string field theory (SFT). String theory is usually formulated in the worldsheet formalism, which describes a single string (first-quantization). While this approach is intuitive and could be pushed far due to the exceptional properties of two-dimensional theories, it becomes cumbersome for some questions or even fails at a more fundamental level. These motivations have led to the development of SFT, a description of string theory using the field theory formalism (second-quantization). As a field theory, SFT provides a rigorous and constructive formulation of string theory. The main objective is to construct the closed bosonic SFT and to explain how to assess the consistency of string theory with it. The accent is put on providing the reader with the foundations, conceptual understanding and intuition of what SFT is. After reading this book, they should be able to study the applications from the literature. The book is organized in two parts. The first part reviews the topics of the worldsheet theory that are necessary to build SFT (worldsheet path integral, CFT and BRST quantization). The second part starts by introducing general concepts of SFT from the BRST quantization. Then, it introduces off-shell string amplitudes before providing a Feynman diagrams interpretation from which the building blocks of SFT are extracted. After constructing the closed SFT, it is used to outline the proofs of several important consistency properties, such as background independence, unitarity and crossing symmetry. Finally, the generalization to the superstring is also discussed. This book grew up from lecture notes for a course given at the Ludwig-Maximilians-Universit\"at LMU (winter semesters 2017-2018 and 2018-2019). The current document is the draft of the manuscript published by Springer.

[ { "created": "Wed, 4 Jan 2023 16:26:46 GMT", "version": "v1" } ]

2023-01-05

[ [ "Erbin", "Harold", "" ] ]

This book provides an introduction to string field theory (SFT). String theory is usually formulated in the worldsheet formalism, which describes a single string (first-quantization). While this approach is intuitive and could be pushed far due to the exceptional properties of two-dimensional theories, it becomes cumbersome for some questions or even fails at a more fundamental level. These motivations have led to the development of SFT, a description of string theory using the field theory formalism (second-quantization). As a field theory, SFT provides a rigorous and constructive formulation of string theory. The main objective is to construct the closed bosonic SFT and to explain how to assess the consistency of string theory with it. The accent is put on providing the reader with the foundations, conceptual understanding and intuition of what SFT is. After reading this book, they should be able to study the applications from the literature. The book is organized in two parts. The first part reviews the topics of the worldsheet theory that are necessary to build SFT (worldsheet path integral, CFT and BRST quantization). The second part starts by introducing general concepts of SFT from the BRST quantization. Then, it introduces off-shell string amplitudes before providing a Feynman diagrams interpretation from which the building blocks of SFT are extracted. After constructing the closed SFT, it is used to outline the proofs of several important consistency properties, such as background independence, unitarity and crossing symmetry. Finally, the generalization to the superstring is also discussed. This book grew up from lecture notes for a course given at the Ludwig-Maximilians-Universit\"at LMU (winter semesters 2017-2018 and 2018-2019). The current document is the draft of the manuscript published by Springer.

7.742479

9.185533

9.012905

8.040002

8.622009

9.408914

8.664046

8.509904

8.393162

9.504701

8.015859

7.988711

7.752302

7.783236

7.890997

7.834879

7.916838

7.769646

7.777958

7.71018

7.599164

1312.0601

Johanna Karouby

Johanna Karouby and Ajit Mohan Srivastava

Baryon production from embedded metastable strings

8 pages, double columns, 5 figures

null

MIT-CTP 4511

hep-th hep-ph

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

We quantify the baryon anti-baryon production generated by a metastable cosmic string, similar to the embedded pion string. More precisely, we study skyrmion production mediated by instantons generated by a pion-like metastable string in contact with a thermal bath, and interpret these Skyrmions as baryons. As shown in a previous work, the core of such a metastable string can melt due to quantum tunneling in the charged field direction. The specific configuration of our string containing 4 scalar fields out of equilibrium in contact with a thermal bath is shown to yield skyrmion production with partial or integer winding number. In this work, we describe and quantify this skyrmion production per unit length of the string. We also evaluate the skyrmion-anti skyrmions production by a dense string network by invoking similarity with the Skyrmion production in a phase transition.

[ { "created": "Mon, 2 Dec 2013 21:00:03 GMT", "version": "v1" } ]

2013-12-04

[ [ "Karouby", "Johanna", "" ], [ "Srivastava", "Ajit Mohan", "" ] ]

We quantify the baryon anti-baryon production generated by a metastable cosmic string, similar to the embedded pion string. More precisely, we study skyrmion production mediated by instantons generated by a pion-like metastable string in contact with a thermal bath, and interpret these Skyrmions as baryons. As shown in a previous work, the core of such a metastable string can melt due to quantum tunneling in the charged field direction. The specific configuration of our string containing 4 scalar fields out of equilibrium in contact with a thermal bath is shown to yield skyrmion production with partial or integer winding number. In this work, we describe and quantify this skyrmion production per unit length of the string. We also evaluate the skyrmion-anti skyrmions production by a dense string network by invoking similarity with the Skyrmion production in a phase transition.

15.193046

15.461481

13.958057

14.297471

14.868426

17.467426

14.797066

15.460088

14.303337

16.583252

14.422571

15.248899

14.285095

14.355667

15.109579

15.43628

14.375337

15.128944

14.290706

15.069746

14.70931

hep-th/0605169

Pavel Putrov

P. Putrov

Path integral in energy representation in quantum mechanics

16 pages, 13 figures. Some sections was rewritten. Version accepted to Theor.Math.Phys

null

hep-th

null

In this paper we develop the alternative path-integral approach to quantum mechanics. We present a resolvent of a Hamiltonian (which is Laplace transform of a evolution operator) in a form which has a sense of ``the sum over paths'' but it is much more better defined than the usual functional integral. We investigate this representation from various directions and compare such approach to quantum mechanics with the standard ones.

[ { "created": "Wed, 17 May 2006 16:28:01 GMT", "version": "v1" }, { "created": "Thu, 18 May 2006 15:28:48 GMT", "version": "v2" }, { "created": "Thu, 30 Aug 2007 13:39:04 GMT", "version": "v3" } ]

2009-09-29

[ [ "Putrov", "P.", "" ] ]

In this paper we develop the alternative path-integral approach to quantum mechanics. We present a resolvent of a Hamiltonian (which is Laplace transform of a evolution operator) in a form which has a sense of ``the sum over paths'' but it is much more better defined than the usual functional integral. We investigate this representation from various directions and compare such approach to quantum mechanics with the standard ones.

14.862101

12.943844

13.46315

12.210622

12.99511

13.114291

13.185145

11.685235

12.536535

14.449131

13.040509

12.530561

13.041179

12.454831

12.772822

12.701616

12.626741

12.250046

13.062133

12.886866

12.368315

0807.4400

Arutyunov Gleb E

Luis F. Alday, Gleb Arutyunov and Dmitri Bykov

Semiclassical Quantization of Spinning Strings in AdS_4 x CP^3

22 pages; v2: References added and typos corrected

JHEP 0811:089,2008

10.1088/1126-6708/2008/11/089

null

hep-th

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

We derive the one-loop correction to the space-time energy of a folded string in AdS_4 x CP^3 carrying spin S in AdS_4 and angular momentum J in CP^3 in the long string approximation. From this general result in the limit J << log S we obtain the one-loop correction to the cusp anomalous dimension which turns out to be -5 log 2/(2\pi). This value appears to be in conflict with the prediction from the recently conjectured all-loop Bethe ansatz.

[ { "created": "Mon, 28 Jul 2008 10:50:35 GMT", "version": "v1" }, { "created": "Tue, 7 Oct 2008 20:18:56 GMT", "version": "v2" } ]

2011-03-02

[ [ "Alday", "Luis F.", "" ], [ "Arutyunov", "Gleb", "" ], [ "Bykov", "Dmitri", "" ] ]

We derive the one-loop correction to the space-time energy of a folded string in AdS_4 x CP^3 carrying spin S in AdS_4 and angular momentum J in CP^3 in the long string approximation. From this general result in the limit J << log S we obtain the one-loop correction to the cusp anomalous dimension which turns out to be -5 log 2/(2\pi). This value appears to be in conflict with the prediction from the recently conjectured all-loop Bethe ansatz.

8.295238

6.364653

10.54755

6.700471

6.183266

6.338246

6.404679

6.570313

6.674824

10.07789

6.686304

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8.426179

7.092154

6.8838

6.811812

7.017761

7.032087

7.296519

8.660597

7.083042

0710.3790

A. Yu. Petrov

V.I. Afonso, D. Bazeia, R. Menezes, and A.Yu. Petrov

f(R)-Brane

10 pages, accepted to Phys. Lett. B

Phys.Lett.B658:71-76,2007

10.1016/j.physletb.2007.10.038

null

hep-th

null

We investigate the existence of brane solutions in braneworld scenarios described by real scalar field in the presence of modified $f(R)$ gravity with a single extra dimension. In the case of constant curvature, we obtain first-order differential equations which solve the equations of motion and ease the search for explicit analytical solutions. Several examples of current interest are investigated to illustrate the results of the present work.

[ { "created": "Fri, 19 Oct 2007 21:28:46 GMT", "version": "v1" } ]

2008-11-26

[ [ "Afonso", "V. I.", "" ], [ "Bazeia", "D.", "" ], [ "Menezes", "R.", "" ], [ "Petrov", "A. Yu.", "" ] ]

We investigate the existence of brane solutions in braneworld scenarios described by real scalar field in the presence of modified $f(R)$ gravity with a single extra dimension. In the case of constant curvature, we obtain first-order differential equations which solve the equations of motion and ease the search for explicit analytical solutions. Several examples of current interest are investigated to illustrate the results of the present work.

11.981263

7.703093

11.86615

9.047806

8.119395

8.190126

7.818807

8.368345

8.507635

11.085519

8.532438

10.663406

11.104155

10.781613

10.008668

10.026569

10.00643

10.476007

10.416287

10.942249

9.830242

hep-th/9702128

Naoki Tanimura

M. Ishi-i, T. Kashiwa, and N. Tanimura (Kyushu Univ. Fukuoka, Japan)

Critical Couplings in the Nambu--Jona-Lasinio Model with the Constant Electromagnetic Fields

7 pages, 6 figure files, LaTeX

null

KYUSHU-HET-38

hep-th hep-ph

null

A detailed analysis is performed for the Nambu--Jona-Lasinio model coupled with constant (external) magnetic and/or electric fields in two, three, and four dimensions. The infrared cut-off is essential for a well-defined functional determinant by means of the proper time method. Contrary to the previous observation, the critical coupling remains nonzero even in three dimensions. It is also found that the asymptotic expansion has an excellent matching with the exact value.

[ { "created": "Mon, 17 Feb 1997 21:04:25 GMT", "version": "v1" } ]

2007-05-23

[ [ "Ishi-i", "M.", "", "Kyushu Univ. Fukuoka, Japan" ], [ "Kashiwa", "T.", "", "Kyushu Univ. Fukuoka, Japan" ], [ "Tanimura", "N.", "", "Kyushu Univ. Fukuoka, Japan" ] ]

A detailed analysis is performed for the Nambu--Jona-Lasinio model coupled with constant (external) magnetic and/or electric fields in two, three, and four dimensions. The infrared cut-off is essential for a well-defined functional determinant by means of the proper time method. Contrary to the previous observation, the critical coupling remains nonzero even in three dimensions. It is also found that the asymptotic expansion has an excellent matching with the exact value.

12.280906

10.934769

10.362556

10.438327

11.526751

11.694374

11.227624

10.822309

9.72296

11.770523

11.049989

10.305182

10.774082

10.213747

10.360874

10.31321

10.088644

10.758719

10.363233

10.954287

10.485396

hep-th/0701070

Niels Obers

Troels Harmark, Kristjan R. Kristjansson, Niels A. Obers, Peter B. Ronne

Entropy of Three-Charge Black Holes on a Circle

9 pages, 1 figure. Talk presented by NO at the RTN workshop, Napoli, Oct. 9-13, 2007

Fortsch.Phys.55:748-753,2007

10.1002/prop.200610359

null

hep-th

null

We study phases of five-dimensional three-charge black holes with a circle in their transverse space. In particular, when the black hole is localized on the circle we compute the corrections to the metric and corresponding thermodynamics in the limit of small mass. When taking the near-extremal limit, this gives the corrections to the finite entropy of the extremal three-charge black hole as a function of the energy above extremality. For the partial extremal limit with two charges sent to infinity and one finite we show that the first correction to the entropy is in agreement with the microscopic entropy by taking into account that the number of branes shift as a consequence of the interactions across the transverse circle.

[ { "created": "Tue, 9 Jan 2007 15:20:55 GMT", "version": "v1" } ]

2008-11-26

[ [ "Harmark", "Troels", "" ], [ "Kristjansson", "Kristjan R.", "" ], [ "Obers", "Niels A.", "" ], [ "Ronne", "Peter B.", "" ] ]

We study phases of five-dimensional three-charge black holes with a circle in their transverse space. In particular, when the black hole is localized on the circle we compute the corrections to the metric and corresponding thermodynamics in the limit of small mass. When taking the near-extremal limit, this gives the corrections to the finite entropy of the extremal three-charge black hole as a function of the energy above extremality. For the partial extremal limit with two charges sent to infinity and one finite we show that the first correction to the entropy is in agreement with the microscopic entropy by taking into account that the number of branes shift as a consequence of the interactions across the transverse circle.

9.685947

7.052476

10.761507

8.121668

7.468729

7.207187

7.835073

7.562676

7.893567

12.281512

8.682844

8.722519

9.802216

8.715069

8.707308

8.74365

8.800323

8.539467

8.990451

9.832114

8.83144

1211.1986

Christopher Beem

Christopher Beem, Tudor Dimofte, Sara Pasquetti

Holomorphic Blocks in Three Dimensions

124 pages, 21 figures. v3: Typos corrected

JHEP 1412 (2014) 177

10.1007/JHEP12(2014)177

DMUS-MP-12/08

hep-th

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

We decompose sphere partition functions and indices of three-dimensional N=2 gauge theories into a sum of products involving a universal set of "holomorphic blocks". The blocks count BPS states and are in one-to-one correspondence with the theory's massive vacua. We also propose a new, effective technique for calculating the holomorphic blocks, inspired by a reduction to supersymmetric quantum mechanics. The blocks turn out to possess a wealth of surprising properties, such as a Stokes phenomenon that integrates nicely with actions of three-dimensional mirror symmetry. The blocks also have interesting dual interpretations. For theories arising from the compactification of the six-dimensional (2,0) theory on a three-manifold M, the blocks belong to a basis of wavefunctions in analytically continued Chern-Simons theory on M. For theories engineered on branes in Calabi-Yau geometries, the blocks offer a non-perturbative perspective on open topological string partition functions.

[ { "created": "Thu, 8 Nov 2012 21:09:48 GMT", "version": "v1" }, { "created": "Thu, 12 Sep 2013 14:29:58 GMT", "version": "v2" }, { "created": "Sat, 27 Dec 2014 19:54:58 GMT", "version": "v3" } ]

2019-03-25

[ [ "Beem", "Christopher", "" ], [ "Dimofte", "Tudor", "" ], [ "Pasquetti", "Sara", "" ] ]

We decompose sphere partition functions and indices of three-dimensional N=2 gauge theories into a sum of products involving a universal set of "holomorphic blocks". The blocks count BPS states and are in one-to-one correspondence with the theory's massive vacua. We also propose a new, effective technique for calculating the holomorphic blocks, inspired by a reduction to supersymmetric quantum mechanics. The blocks turn out to possess a wealth of surprising properties, such as a Stokes phenomenon that integrates nicely with actions of three-dimensional mirror symmetry. The blocks also have interesting dual interpretations. For theories arising from the compactification of the six-dimensional (2,0) theory on a three-manifold M, the blocks belong to a basis of wavefunctions in analytically continued Chern-Simons theory on M. For theories engineered on branes in Calabi-Yau geometries, the blocks offer a non-perturbative perspective on open topological string partition functions.

9.030785

8.523138

10.56264

7.918908

8.173862

8.396923

8.273736

7.833185

8.133427

11.561915

8.060512

8.297631

9.058399

8.161139

8.59152

8.352585

8.159579

8.377934

8.252043

9.21765

8.445842

hep-th/0407260

Humberto Belich Junior

H. Belich, T. Costa-Soares, M.M. Ferreira Jr., J.A. Helayel-Neto, M.T.D. Orlando

Lorentz-symmetry Violation and Electrically Charged Vortices in the Planar Regime

11 pages, added refs., Changed contents in the last section, revtex4, to appear in Int. J. Mod. Phys. A

null

hep-th

null

We start from a Lorentz non-invariant Abelian-Higgs model in 1+3 dimensions, and carry out its dimensional reduction to $D=1+2$. The planar model resulting thereof is composed by a Maxwell-Chern-Simons-Proca gauge sector, a massive scalar sector, and a mixing term (involving the fixed background, $v^{\mu}$) that realizes Lorentz violation for the reduced model. Vortex-type solutions of the planar model are investigated,revealing charged vortex configurations that recover the usual Nielsen-Olesen configuration in the asymptotic regime. The Aharonov-Casher Effect in layered superconductors, that shows interference of neutral particles with a magnetic moment moving around a line charge, is also studied. Our charged vortex solutions exhibit a screened electric field that induces the same phase shift as the one caused by the charged wire.

[ { "created": "Thu, 29 Jul 2004 12:21:42 GMT", "version": "v1" }, { "created": "Mon, 3 Jan 2005 18:21:43 GMT", "version": "v2" }, { "created": "Sat, 12 Nov 2005 20:36:43 GMT", "version": "v3" } ]

2007-05-23

[ [ "Belich", "H.", "" ], [ "Costa-Soares", "T.", "" ], [ "Ferreira", "M. M.", "Jr." ], [ "Helayel-Neto", "J. A.", "" ], [ "Orlando", "M. T. D.", "" ] ]

We start from a Lorentz non-invariant Abelian-Higgs model in 1+3 dimensions, and carry out its dimensional reduction to $D=1+2$. The planar model resulting thereof is composed by a Maxwell-Chern-Simons-Proca gauge sector, a massive scalar sector, and a mixing term (involving the fixed background, $v^{\mu}$) that realizes Lorentz violation for the reduced model. Vortex-type solutions of the planar model are investigated,revealing charged vortex configurations that recover the usual Nielsen-Olesen configuration in the asymptotic regime. The Aharonov-Casher Effect in layered superconductors, that shows interference of neutral particles with a magnetic moment moving around a line charge, is also studied. Our charged vortex solutions exhibit a screened electric field that induces the same phase shift as the one caused by the charged wire.

12.749337

12.380774

13.608399

10.973495

12.967871

13.018664

12.994753

11.601069

11.284318

15.53132

11.380651

12.089569

13.264738

12.346778

12.005753

12.609326

12.353918

11.810212

12.190437

12.605056

11.880961

hep-th/9606194

Lori Paniak

L.D. Paniak, G.W. Semenoff and A.R. Zhitnitsky (University of British Columbia)

Vacuum Structure and $\theta$ States of Adjoint QCD in Two Dimensions

20 pages, 1 figure, LaTeX

Nucl.Phys. B487 (1997) 191-206

10.1016/S0550-3213(96)00684-0

null

hep-th hep-ph

null

We address the issue of topological angles in the context of two dimensional SU(N) Yang-Mills theory coupled to massive fermions in the adjoint representation. Classification of the resulting multiplicity of vacua is carried outin terms of asymptotic fundamental Wilson loops, or equivalently, charges at the boundary of the world. We explicitly demonstrate that the multiplicity of vacuum states is equal to N for SU(N) gauge group. Different worlds of the theory are classified by the integer number k=0,1,...N-1 (superselection rules) which plays an analogous role to the $\theta$ parameter in QCD. Via two completely independent approaches we study the physical properties of these unconnected worlds as a function of k. First, we apply the well known machinery of the loop calculus in order to calculate the effective string tensions in the theory as function of $k$. The second way of doing the same physics is the standard particle/field theoretic calculation for the binding potential of a pair of infinitely massive fermions. We also calculate the vacuum energy as function of k.

[ { "created": "Fri, 28 Jun 1996 18:56:50 GMT", "version": "v1" } ]

2009-10-30

[ [ "Paniak", "L. D.", "", "University of British\n Columbia" ], [ "Semenoff", "G. W.", "", "University of British\n Columbia" ], [ "Zhitnitsky", "A. R.", "", "University of British\n Columbia" ] ]

We address the issue of topological angles in the context of two dimensional SU(N) Yang-Mills theory coupled to massive fermions in the adjoint representation. Classification of the resulting multiplicity of vacua is carried outin terms of asymptotic fundamental Wilson loops, or equivalently, charges at the boundary of the world. We explicitly demonstrate that the multiplicity of vacuum states is equal to N for SU(N) gauge group. Different worlds of the theory are classified by the integer number k=0,1,...N-1 (superselection rules) which plays an analogous role to the $\theta$ parameter in QCD. Via two completely independent approaches we study the physical properties of these unconnected worlds as a function of k. First, we apply the well known machinery of the loop calculus in order to calculate the effective string tensions in the theory as function of $k$. The second way of doing the same physics is the standard particle/field theoretic calculation for the binding potential of a pair of infinitely massive fermions. We also calculate the vacuum energy as function of k.

11.926001

12.888681

12.585716

11.863898

12.492204

12.689137

12.139721

12.316712

11.849938

12.835869

11.876846

11.806496

11.711104

11.383674

11.731018

11.879165

11.616458

11.671597

11.455194

11.797936

11.528488

1504.06083

Gaston Giribet

Sim\'on del Pino, Gaston Giribet, Adolfo Toloza, Jorge Zanelli

From Lorentz-Chern-Simons to Massive Gravity in 2+1 Dimensions

9 pages

JHEP 06 (2015) 113

null

hep-th

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

We propose a generalization of Chiral Gravity, which follows from considering a Chern-Simons action for the spin connection with anti-symmetric contorsion. The theory corresponds to Topologically Massive Gravity at the chiral point non-minimally coupled to an additional scalar mode that gathers the torsion degree of freedom. In this setup, the effective cosmological constant (the inverse of the curvature radius of maximally symmetric solutions) is either negative or zero, and it enters as an integration constant associated to the value of the contorsion at infinity. We explain how this is not in conflict with the Zamolodchikov's $c$-theorem holding in the dual boundary theory. In fact, we conjecture that the theory formulated about three-dimensional Anti-de Sitter space is dual to a two-dimensional conformal field theory whose right- and left-moving central charges are given by $c_{R}=24k$ and $c_{L}=0$, respectively, being $k$ the level of the Chern-Simons action. We study the classical theory both at the linear and non-linear level. In particular, we show how Chiral Gravity is included as a special sector. In addition, the theory has other sectors, which we explore; we exhibit analytic exact solutions that are not solutions of Topologically Massive Gravity (and, consequently, neither of General Relativity) and still satisfy Brown-Henneaux asymptotically AdS$_{3}$ boundary conditions.

[ { "created": "Thu, 23 Apr 2015 08:40:15 GMT", "version": "v1" } ]

2015-06-30

[ [ "del Pino", "Simón", "" ], [ "Giribet", "Gaston", "" ], [ "Toloza", "Adolfo", "" ], [ "Zanelli", "Jorge", "" ] ]

We propose a generalization of Chiral Gravity, which follows from considering a Chern-Simons action for the spin connection with anti-symmetric contorsion. The theory corresponds to Topologically Massive Gravity at the chiral point non-minimally coupled to an additional scalar mode that gathers the torsion degree of freedom. In this setup, the effective cosmological constant (the inverse of the curvature radius of maximally symmetric solutions) is either negative or zero, and it enters as an integration constant associated to the value of the contorsion at infinity. We explain how this is not in conflict with the Zamolodchikov's $c$-theorem holding in the dual boundary theory. In fact, we conjecture that the theory formulated about three-dimensional Anti-de Sitter space is dual to a two-dimensional conformal field theory whose right- and left-moving central charges are given by $c_{R}=24k$ and $c_{L}=0$, respectively, being $k$ the level of the Chern-Simons action. We study the classical theory both at the linear and non-linear level. In particular, we show how Chiral Gravity is included as a special sector. In addition, the theory has other sectors, which we explore; we exhibit analytic exact solutions that are not solutions of Topologically Massive Gravity (and, consequently, neither of General Relativity) and still satisfy Brown-Henneaux asymptotically AdS$_{3}$ boundary conditions.

6.20286

6.23071

7.007124

6.255583

5.901223

6.48069

6.334461

6.627356

6.845

7.59914

6.199504

6.249479

6.404204

6.279601

6.124751

6.289482

6.228564

6.238576

6.123352

6.410423

6.11597

2302.01896

Vasco Gon\c{c}alves

Vasco Gon\c{c}alves, Carlo Meneghelli, Raul Pereira, Joao Vilas Boas, Xinan Zhou

Kaluza-Klein Five-Point Functions from $\textrm{AdS}_5\times S_5$ Supergravity

43 pages, 2 figures

null

hep-th

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

We continue to explore the bootstrap approach to five-point correlation functions for IIB supergravity on $AdS_5\times S^5$. Building on the result of [1], we develop an improved algorithm that allows us to more efficiently compute correlators of higher Kaluza-Klein modes. The new method uses only factorization and a superconformal twist, and is entirely within Mellin space where the analytic structure of holographic correlators is simpler. Using this method, we obtain in a closed form all five-point functions of the form $\langle pp222\rangle$, extending the earlier result for $p=2$. As a byproduct of our analysis, we also obtain explicit results for spinning four-point functions of higher Kaluza-Klein modes.

[ { "created": "Fri, 3 Feb 2023 18:17:14 GMT", "version": "v1" } ]

2023-02-06

[ [ "Gonçalves", "Vasco", "" ], [ "Meneghelli", "Carlo", "" ], [ "Pereira", "Raul", "" ], [ "Boas", "Joao Vilas", "" ], [ "Zhou", "Xinan", "" ] ]

We continue to explore the bootstrap approach to five-point correlation functions for IIB supergravity on $AdS_5\times S^5$. Building on the result of [1], we develop an improved algorithm that allows us to more efficiently compute correlators of higher Kaluza-Klein modes. The new method uses only factorization and a superconformal twist, and is entirely within Mellin space where the analytic structure of holographic correlators is simpler. Using this method, we obtain in a closed form all five-point functions of the form $\langle pp222\rangle$, extending the earlier result for $p=2$. As a byproduct of our analysis, we also obtain explicit results for spinning four-point functions of higher Kaluza-Klein modes.

8.968614

8.110968

9.766888

8.177779

8.015027

8.522588

7.805932

8.122026

8.141424

10.88807

8.199798

8.146845

8.978024

8.185435

8.359224

8.252474

8.375211

8.377178

8.186482

9.152666

8.115478

1212.1446

Hiroshi Yoda

On relationship of gauge transformation with Wigner's little group

14 pages

null

hep-th

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

Wigner's little group of a massless particle is ISO(2) which contains rotation and two translations. As well-known, eigenvalues of the rotation are helicity. On the other hand, by S. Weinberg et al., it has been shown that two translations generate abelian gauge transformation by acting on polarization vectors. In this paper, we include unphysical modes and show abelian case result can be generalized to the case of non-abelian gauge transformation. By including the unphysical modes, we obtain Nakanishi-Lautrup physical state condition from the requirement of unitarity of the transformation. As a result, non-abelian gauge transformation is realized as the translation of the little group which acts on gauge group. We also obtain similar results for any spacetime dimensions.

[ { "created": "Thu, 6 Dec 2012 20:54:40 GMT", "version": "v1" } ]

2012-12-07

[ [ "Yoda", "Hiroshi", "" ] ]

Wigner's little group of a massless particle is ISO(2) which contains rotation and two translations. As well-known, eigenvalues of the rotation are helicity. On the other hand, by S. Weinberg et al., it has been shown that two translations generate abelian gauge transformation by acting on polarization vectors. In this paper, we include unphysical modes and show abelian case result can be generalized to the case of non-abelian gauge transformation. By including the unphysical modes, we obtain Nakanishi-Lautrup physical state condition from the requirement of unitarity of the transformation. As a result, non-abelian gauge transformation is realized as the translation of the little group which acts on gauge group. We also obtain similar results for any spacetime dimensions.

10.653192

9.883994

10.54392

9.732734

10.334508

9.934794

10.140175

9.72686

10.026073

11.345729

9.757771

9.745549

9.736608

9.543219

9.743679

9.322515

9.661624

9.596641

9.422781

10.345952

9.587657

0704.2563

Renaud Parentani

Beyond the semi-classical description of black hole evaporation

26 pages, 1 figure, revised and updated version

Int.J.Theor.Phys.41:2175-2200,2002

10.1023/A:1021133126804

null

hep-th

null

In the semi-classical treatment, i.e. in a classical black hole geometry, Hawking quanta emerge from trans-Planckian configurations because of scale invariance. There is indeed no scale to stop the blue-shifting effect encountered in the backward propagation towards the event horizon. On the contrary, when taking into account the gravitational interactions neglected in the semi-classical treatment, a UV scale stopping the blue-shift could be dynamically engendered. To show that this is the case, we use a non-perturbative treatment based on the large-N limit, where $N$ is the number of matter fields. In this limit, the semi-classical treatment is the leading contribution. Non-linear gravitational effects appear in the next orders and in the first of these, the effects are governed by the two-point correlation function of the energy-momentum tensor evaluated in the vacuum. Taking this correlator into account, backward propagated modes are dissipated at a distance from the horizon $\propto G\kappa$ when measured in a freely falling frame. ($G$ is Newton's constant and $\kappa$ the surface gravity.) This result can be also obtained by considering light propagation in a stochastic ensemble of metrics whose fluctuations are determined by the above correlator.

[ { "created": "Thu, 19 Apr 2007 17:06:08 GMT", "version": "v1" } ]

2008-11-26

[ [ "Parentani", "Renaud", "" ] ]

In the semi-classical treatment, i.e. in a classical black hole geometry, Hawking quanta emerge from trans-Planckian configurations because of scale invariance. There is indeed no scale to stop the blue-shifting effect encountered in the backward propagation towards the event horizon. On the contrary, when taking into account the gravitational interactions neglected in the semi-classical treatment, a UV scale stopping the blue-shift could be dynamically engendered. To show that this is the case, we use a non-perturbative treatment based on the large-N limit, where $N$ is the number of matter fields. In this limit, the semi-classical treatment is the leading contribution. Non-linear gravitational effects appear in the next orders and in the first of these, the effects are governed by the two-point correlation function of the energy-momentum tensor evaluated in the vacuum. Taking this correlator into account, backward propagated modes are dissipated at a distance from the horizon $\propto G\kappa$ when measured in a freely falling frame. ($G$ is Newton's constant and $\kappa$ the surface gravity.) This result can be also obtained by considering light propagation in a stochastic ensemble of metrics whose fluctuations are determined by the above correlator.

9.736988

10.229246

10.669737

9.684652

10.508904

10.292615

10.83729

9.904402

10.064497

10.182699

9.592463

9.838524

9.485029

9.494884

9.451788

9.505692

9.403652

9.092487

9.504266

9.169527

9.409645

1709.00078

Igor F. Justo

I. F. Justo

Aspects of the Gribov problem in Euclidean Yang-Mills theories

Thesis submitted in fulfillment of the requirements for the degree of Doctor of Sciences: Physics at Ghent University, and Doctor in Sciences at Rio de Janeiro State University

null

hep-th

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

The content of the present thesis is based on the papers [arXiv:1510.07886 [hep-th]][arXiv:1505.02287 [hep-th]][arXiv:1401.6303 [hep-th]][arXiv:1309.1402 [hep-th]][arXiv:1305.4155 [hep-th]][arXiv:1212.1003 [hep-th]][arXiv:1210.4734 [hep-th]] and is devoted to the study of aspects of the Gribov problem in Euclidean Yang-Mills theories coupled to matter fields. Here, we present some, mathematical and physical, evidences that point to the existence of a possible interplay between the gauge sector and the matter sector, in regimes of sufficiently ow energy (known as the infrared regime). In other words, we claim that an effect in the vector boson sector of Nature due to strong interactions (the Standard Model), at low energies, may be reflected in the matter sector, in the same regime. Specifically, we propose that the Gribov horizon function of the gauge sector may be felt by the matter field, and that it would be described by an effective non-local mass term attached to the matter field. Such a term seems to be dynamically generated and accounts for non-perturbative aspects of the matter field.

[ { "created": "Thu, 31 Aug 2017 20:55:09 GMT", "version": "v1" } ]

2017-09-04

[ [ "Justo", "I. F.", "" ] ]

The content of the present thesis is based on the papers [arXiv:1510.07886 [hep-th]][arXiv:1505.02287 [hep-th]][arXiv:1401.6303 [hep-th]][arXiv:1309.1402 [hep-th]][arXiv:1305.4155 [hep-th]][arXiv:1212.1003 [hep-th]][arXiv:1210.4734 [hep-th]] and is devoted to the study of aspects of the Gribov problem in Euclidean Yang-Mills theories coupled to matter fields. Here, we present some, mathematical and physical, evidences that point to the existence of a possible interplay between the gauge sector and the matter sector, in regimes of sufficiently ow energy (known as the infrared regime). In other words, we claim that an effect in the vector boson sector of Nature due to strong interactions (the Standard Model), at low energies, may be reflected in the matter sector, in the same regime. Specifically, we propose that the Gribov horizon function of the gauge sector may be felt by the matter field, and that it would be described by an effective non-local mass term attached to the matter field. Such a term seems to be dynamically generated and accounts for non-perturbative aspects of the matter field.

7.274922

6.831394

7.102786

6.727604

7.266575

7.091246

7.206772

6.805064

6.409547

7.475218

6.619004

6.683321

6.778633

6.581243

6.652579

6.643342

6.737837

6.763755

6.6412

6.829564

6.632726

hep-th/0701263

Bartlomiej Czech

Trace Anomaly in Geometric Discretization

10 pages

null

UPR-T-1175

hep-th

null

I develop the simplest geometric-discretized analogue of two dimensional scalar field theory, which qualitatively reproduces the trace anomaly of the continuous theory. The discrete analogue provides an interpretation of the trace anomaly in terms of a non-trivial transformation of electric-magnetic duality-invariant modes of resistor networks that accommodate both electric and magnetic charge currents.

[ { "created": "Mon, 29 Jan 2007 20:59:19 GMT", "version": "v1" } ]

2007-05-23

[ [ "Czech", "Bartlomiej", "" ] ]

I develop the simplest geometric-discretized analogue of two dimensional scalar field theory, which qualitatively reproduces the trace anomaly of the continuous theory. The discrete analogue provides an interpretation of the trace anomaly in terms of a non-trivial transformation of electric-magnetic duality-invariant modes of resistor networks that accommodate both electric and magnetic charge currents.

22.802896

24.209639

22.133984

21.45319

24.167456

20.824465

24.936016

21.719616

22.592863

23.916433

21.796932

20.455755

21.824295

20.772631

20.125845

22.217709

20.90892

19.996496

21.333735

22.410862

20.136318

hep-th/0307172

Bibhuti Bhubasan Deo

B. B. Deo and L. Maharana

A Four Dimensional Superstring from the Bosonic String with Some Applications

25 pages

null

hep-th

null

A string in four dimensions is constructed by supplementing it with forty four Majorana fermions. The later are represented by eleven vectors in the bosonic representation $SO(D-1,1)$. The central charge is 26. The fermions are grouped in such a way that the resulting action is world sheet supersymmetric. The energy momentum and current generators satisfy the super-Virasoro algebra. GSO projections are necessary for proving modular invariance. Space-time supersymmetry algebra is deduced and is substantiated for specific modes of zero mass. The symmetry group of the model can descend to the low energy standard model group $SU (3) \times SU_L (2) \times U_Y (1)$ through the Pati-Salam group.

[ { "created": "Fri, 18 Jul 2003 05:20:00 GMT", "version": "v1" }, { "created": "Mon, 28 Jul 2003 15:52:51 GMT", "version": "v2" }, { "created": "Mon, 18 Aug 2003 16:29:14 GMT", "version": "v3" }, { "created": "Fri, 12 Sep 2003 13:08:44 GMT", "version": "v4" }, { "created": "Fri, 10 Oct 2003 06:57:21 GMT", "version": "v5" } ]

2007-05-23

[ [ "Deo", "B. B.", "" ], [ "Maharana", "L.", "" ] ]

A string in four dimensions is constructed by supplementing it with forty four Majorana fermions. The later are represented by eleven vectors in the bosonic representation $SO(D-1,1)$. The central charge is 26. The fermions are grouped in such a way that the resulting action is world sheet supersymmetric. The energy momentum and current generators satisfy the super-Virasoro algebra. GSO projections are necessary for proving modular invariance. Space-time supersymmetry algebra is deduced and is substantiated for specific modes of zero mass. The symmetry group of the model can descend to the low energy standard model group $SU (3) \times SU_L (2) \times U_Y (1)$ through the Pati-Salam group.

14.225156

10.82347

13.836207

12.390442

11.362688

11.145783

11.580816

12.146267

12.27561

14.780008

12.293163

13.145694

13.788558

12.82818

13.277442

13.055152

12.97716

13.039021

13.346978

13.680747

12.893605

1404.1391

{\Dj}or{\dj}e Radi\v{c}evi\'c

Djordje Radicevic

Notes on Entanglement in Abelian Gauge Theories

1+24 pages, 4 figures; comments welcome

null

SU-ITP-14/08

hep-th cond-mat.str-el hep-lat

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

We streamline and generalize the recent progress in understanding entanglement between spatial regions in Abelian gauge theories. We provide an unambiguous and explicit prescription for calculating entanglement entropy in a $\mathbb Z_N$ lattice gauge theory. The main idea is that the lattice should be split into two disjoint regions of links separated by a buffer zone of plaquettes. We show that the previous calculations of the entanglement entropy can be realized as special cases of our setup, and we argue that the ambiguities reported in the previous work can be understood as basis choices for gauge-invariant operators living in the buffer zone. The proposed procedure applies to Abelian theories with matter and with continuous symmetry groups, both on the lattice and in the continuum.

[ { "created": "Fri, 4 Apr 2014 20:57:22 GMT", "version": "v1" } ]

2014-04-08

[ [ "Radicevic", "Djordje", "" ] ]

We streamline and generalize the recent progress in understanding entanglement between spatial regions in Abelian gauge theories. We provide an unambiguous and explicit prescription for calculating entanglement entropy in a $\mathbb Z_N$ lattice gauge theory. The main idea is that the lattice should be split into two disjoint regions of links separated by a buffer zone of plaquettes. We show that the previous calculations of the entanglement entropy can be realized as special cases of our setup, and we argue that the ambiguities reported in the previous work can be understood as basis choices for gauge-invariant operators living in the buffer zone. The proposed procedure applies to Abelian theories with matter and with continuous symmetry groups, both on the lattice and in the continuum.

10.305406

10.161646

9.900761

8.911084

9.988077

9.660336

8.973798

9.550764

9.123715

11.056374

9.039981

9.117992

9.6503

9.179788

9.153138

9.278289

9.453794

9.179078

9.223623

9.403872

9.18046

2104.06420

Cody Long

Cody Long, Artan Sheshmani, Cumrun Vafa, and Shing-Tung Yau

Non-Holomorphic Cycles and Non-BPS Black Branes

57 pages, 15 figures

Commun. Math. Phys. 2022

10.1007/s00220-022-04587-4

CIMP-D-21-00618R0

hep-th math.AG

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

We study extremal non-BPS black holes and strings arising in M-theory compactifications on Calabi-Yau threefolds, obtained by wrapping M2 branes on non-holomorphic 2-cycles and M5 branes on non-holomorphic 4-cycles. Using the attractor mechanism we compute the black hole mass and black string tension, leading to a conjectural formula for the asymptotic volumes of connected, locally volume-minimizing representatives of non-holomorphic, even-dimensional homology classes in the threefold, without knowledge of an explicit metric. In the case of divisors we find examples where the volume of the representative corresponding to the black string is less than the volume of the minimal piecewise-holomorphic representative, predicting recombination for those homology classes and leading to stable, non-BPS strings. We also compute the central charges of non-BPS strings in F-theory via a near-horizon $AdS_3$ limit in 6d which, upon compactification on a circle, account for the asymptotic entropy of extremal non-supersymmetric 5d black holes (i.e., the asymptotic count of non-holomorphic minimal 2-cycles).

[ { "created": "Tue, 13 Apr 2021 18:00:03 GMT", "version": "v1" } ]

2023-01-25

[ [ "Long", "Cody", "" ], [ "Sheshmani", "Artan", "" ], [ "Vafa", "Cumrun", "" ], [ "Yau", "Shing-Tung", "" ] ]

We study extremal non-BPS black holes and strings arising in M-theory compactifications on Calabi-Yau threefolds, obtained by wrapping M2 branes on non-holomorphic 2-cycles and M5 branes on non-holomorphic 4-cycles. Using the attractor mechanism we compute the black hole mass and black string tension, leading to a conjectural formula for the asymptotic volumes of connected, locally volume-minimizing representatives of non-holomorphic, even-dimensional homology classes in the threefold, without knowledge of an explicit metric. In the case of divisors we find examples where the volume of the representative corresponding to the black string is less than the volume of the minimal piecewise-holomorphic representative, predicting recombination for those homology classes and leading to stable, non-BPS strings. We also compute the central charges of non-BPS strings in F-theory via a near-horizon $AdS_3$ limit in 6d which, upon compactification on a circle, account for the asymptotic entropy of extremal non-supersymmetric 5d black holes (i.e., the asymptotic count of non-holomorphic minimal 2-cycles).

7.738766

7.907599

9.41759

7.687133

8.119809

7.894519

7.923283

7.829559

7.617249

9.9017

7.414712

7.297645

7.893977

7.427648

7.246227

7.411842

7.199039

7.177528

7.326879

8.036515

7.393518

2304.13609

Pavel Spirin

Yuri V. Grats and Pavel Spirin

Casimir interaction of finite-width strings

3 figures

null

10.1103/PhysRevD.108.045001

null

hep-th

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

Within the trln-formalism we investigate the vacuum interaction of cosmic strings and the influence of strings width on this effect. For the massless real scalar field we compute the Casimir contribution into the total vacuum energy. The dimensional-regularization technique is used. It is shown that the regularized Casimir term contains neither the UV-divergences, nor the divergences related with the non-integrability of the renormalized vacuum mean of the energy-momentum tensor.

[ { "created": "Wed, 26 Apr 2023 15:02:40 GMT", "version": "v1" } ]

2023-08-16

[ [ "Grats", "Yuri V.", "" ], [ "Spirin", "Pavel", "" ] ]

Within the trln-formalism we investigate the vacuum interaction of cosmic strings and the influence of strings width on this effect. For the massless real scalar field we compute the Casimir contribution into the total vacuum energy. The dimensional-regularization technique is used. It is shown that the regularized Casimir term contains neither the UV-divergences, nor the divergences related with the non-integrability of the renormalized vacuum mean of the energy-momentum tensor.

14.360072

14.313542

14.531187

12.494458

12.578253

12.600422

12.199684

12.245344

13.734884

15.435894

12.994536

12.211799

12.636041

12.610851

12.577056

12.088137

12.599416

12.573098

12.938849

13.004228

12.475635

hep-th/0505109

Shi Qi

Vacuum Fluctuations and the Cosmological Constant

6 pages, 2 figures, revtex4; references added, content added

null

hep-th

null

The hypothesis is proposed that under the approximation that the quantum equations of motion reduce to the classical ones, the quantum vacuum also reduces to the classical vacuum--the empty space. The vacuum energy of QED is studied under this hypothesis. A possible solution to the cosmological constant problem is provided and a kind of parameterization of the cosmological "constant" is derived.

[ { "created": "Thu, 12 May 2005 11:28:42 GMT", "version": "v1" }, { "created": "Fri, 26 Aug 2005 06:14:20 GMT", "version": "v2" }, { "created": "Sat, 29 Apr 2006 11:12:31 GMT", "version": "v3" } ]

2007-05-23

[ [ "Qi", "Shi", "" ] ]

The hypothesis is proposed that under the approximation that the quantum equations of motion reduce to the classical ones, the quantum vacuum also reduces to the classical vacuum--the empty space. The vacuum energy of QED is studied under this hypothesis. A possible solution to the cosmological constant problem is provided and a kind of parameterization of the cosmological "constant" is derived.

12.745594

11.830342

10.27778

9.853959

10.916551

11.832498

11.38982

10.33201

10.65722

12.118866

11.330653

10.668417

11.17611

10.892559

10.423182

10.688145

11.248687

10.637571

10.965776

11.196599

11.241158

hep-th/0011263

Hisashi Echigoya

Hisashi Echigoya, Tadashi Miyazaki

De Rham-Kodaira's Theorem and Dual Gauge Transformations

22pages, Latex

null

hep-th

null

A general action is proposed for the fields of $q$-dimensional differential form over the compact Riemannian manifold of arbitrary dimensions. Mathematical tools are based on the well-known de Rham-Kodaira decomposing theorem on harmonic integral. A field-theoretic action for strings, $p$-branes and high-spin fields is naturally derived. We also have, naturally, the generalized Maxwell equations with an electromagnetic and monopole current on a curved space-time. A new type of gauge transformations ({\it dual} gauge transformations) plays an essential role for coboundary $q$-forms.

[ { "created": "Wed, 29 Nov 2000 06:48:44 GMT", "version": "v1" } ]

2007-05-23

[ [ "Echigoya", "Hisashi", "" ], [ "Miyazaki", "Tadashi", "" ] ]

A general action is proposed for the fields of $q$-dimensional differential form over the compact Riemannian manifold of arbitrary dimensions. Mathematical tools are based on the well-known de Rham-Kodaira decomposing theorem on harmonic integral. A field-theoretic action for strings, $p$-branes and high-spin fields is naturally derived. We also have, naturally, the generalized Maxwell equations with an electromagnetic and monopole current on a curved space-time. A new type of gauge transformations ({\it dual} gauge transformations) plays an essential role for coboundary $q$-forms.

19.477453

14.104281

19.868135

15.796521

15.205116

14.65012

15.618566

16.589012

17.063282

19.14945

16.150087

16.129238

16.805637

16.860025

16.505247

17.190035

16.646906

16.949787

16.888332

17.752953

17.043932

hep-th/0310135

Sergei Alexandrov

(m,n) ZZ branes and the c=1 matrix model

9 pages, Latex; misprints corrected

Phys.Lett. B604 (2004) 115-122

10.1016/j.physletb.2004.10.044

ITP-UU-03/52, SPIN-03/33

hep-th

null

We argue that the origin of non-perturbative corrections exp(-2\pi R n\mu) in the c=1 matrix model is (1,n) D-branes of Zamolodchikovs. We confirm this identification comparing the flow of these corrections under the Sine--Liouville perturbation in the two approaches.

[ { "created": "Tue, 14 Oct 2003 16:48:50 GMT", "version": "v1" }, { "created": "Wed, 30 Jun 2004 13:06:57 GMT", "version": "v2" } ]

2009-11-10

[ [ "Alexandrov", "Sergei", "" ] ]

We argue that the origin of non-perturbative corrections exp(-2\pi R n\mu) in the c=1 matrix model is (1,n) D-branes of Zamolodchikovs. We confirm this identification comparing the flow of these corrections under the Sine--Liouville perturbation in the two approaches.

17.129684

17.092234

24.541256

15.673587

18.825237

16.993773

16.430134

17.153025

16.597551

26.814054

14.778105

14.74278

17.803452

14.332029

14.906719

14.546964

15.067304

14.869455

14.040642

18.093269

14.46747

1509.00733

Elisabetta Pallante

Topology, the meson spectrum and the scalar glueball: three probes of conformality and the way it is lost

16 pages, 3 figures, contribution to Sakata Memorial KMI Workshop on "Origin of Mass and Strong Coupling Gauge Theories (SCGT15)", 3-6 March 2015, Nagoya University

null

hep-th hep-lat hep-ph

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

We discuss properties of non-Abelian gauge theories that change significantly across the lower edge of the conformal window. Their probes are the topological observables, the meson spectrum and the scalar glueball operator. The way these quantities change tells about the way conformal symmetry is lost.

[ { "created": "Wed, 2 Sep 2015 15:12:29 GMT", "version": "v1" } ]

2015-09-03

[ [ "Pallante", "Elisabetta", "" ] ]

We discuss properties of non-Abelian gauge theories that change significantly across the lower edge of the conformal window. Their probes are the topological observables, the meson spectrum and the scalar glueball operator. The way these quantities change tells about the way conformal symmetry is lost.

17.778667

14.024453

15.142935

14.710533

15.903956

17.344887

16.338547

15.684623

15.312963

18.293776

16.123268

15.260611

15.231027

15.267332

15.64969

16.28343

15.611279

16.217947

15.007148

15.394566

15.44027

1810.11442

Sameer Murthy

Alejandro Cabo-Bizet, Davide Cassani, Dario Martelli, Sameer Murthy

Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS$_{\bf 5}$ black holes

v4: minor changes, version published in JHEP

null

10.1007/JHEP10(2019)062

null

hep-th

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

We present a holographic derivation of the entropy of supersymmetric asymptotically AdS$_5$ black holes. We define a BPS limit of black hole thermodynamics by first focussing on a supersymmetric family of complexified solutions and then reaching extremality. We show that in this limit the black hole entropy is the Legendre transform of the on-shell gravitational action with respect to three chemical potentials subject to a constraint. This constraint follows from supersymmetry and regularity in the Euclidean bulk geometry. Further, we calculate, using localization, the exact partition function of the dual $\mathcal{N}=1$ SCFT on a twisted $S^1\times S^3$ with complexified chemical potentials obeying this constraint. This defines a generalization of the supersymmetric Casimir energy, whose Legendre transform at large $N$ exactly reproduces the Bekenstein-Hawking entropy of the black hole.

[ { "created": "Fri, 26 Oct 2018 17:45:34 GMT", "version": "v1" }, { "created": "Tue, 30 Oct 2018 17:57:27 GMT", "version": "v2" }, { "created": "Mon, 25 Feb 2019 18:51:40 GMT", "version": "v3" }, { "created": "Tue, 5 Nov 2019 16:11:30 GMT", "version": "v4" } ]

2020-01-08

[ [ "Cabo-Bizet", "Alejandro", "" ], [ "Cassani", "Davide", "" ], [ "Martelli", "Dario", "" ], [ "Murthy", "Sameer", "" ] ]

We present a holographic derivation of the entropy of supersymmetric asymptotically AdS$_5$ black holes. We define a BPS limit of black hole thermodynamics by first focussing on a supersymmetric family of complexified solutions and then reaching extremality. We show that in this limit the black hole entropy is the Legendre transform of the on-shell gravitational action with respect to three chemical potentials subject to a constraint. This constraint follows from supersymmetry and regularity in the Euclidean bulk geometry. Further, we calculate, using localization, the exact partition function of the dual $\mathcal{N}=1$ SCFT on a twisted $S^1\times S^3$ with complexified chemical potentials obeying this constraint. This defines a generalization of the supersymmetric Casimir energy, whose Legendre transform at large $N$ exactly reproduces the Bekenstein-Hawking entropy of the black hole.

5.816548

5.605562

7.337039

5.70363

5.694898

5.668019

5.362194

5.246838

5.481493

7.693928

5.581257

5.895464

6.299416

5.818823

5.743564

5.993816

5.669093

5.896321

5.819072

6.513087

5.727783

2103.12746

Damian van de Heisteeg

Thomas W. Grimm, Jeroen Monnee, Damian van de Heisteeg

Bulk Reconstruction in Moduli Space Holography

44 pages plus appendices, 1 figure

null

10.1007/JHEP05(2022)010

null

hep-th math.AG

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

It was recently suggested that certain UV-completable supersymmetric actions can be characterized by the solutions to an auxiliary non-linear sigma-model with special asymptotic boundary conditions. The space-time of this sigma-model is the scalar field space of these effective theories while the target space is a coset space. We study this sigma-model without any reference to a potentially underlying geometric description. Using a holographic approach reminiscent of the bulk reconstruction in the AdS/CFT correspondence, we then derive its near-boundary solutions for a two-dimensional space-time. Specifying a set of $ Sl(2,\mathbb{R})$ boundary data we show that the near-boundary solutions are uniquely fixed after imposing a single bulk-boundary matching condition. The reconstruction exploits an elaborate set of recursion relations introduced by Cattani, Kaplan, and Schmid in the proof of the $Sl(2)$-orbit theorem. We explicitly solve these recursion relations for three sets of simple boundary data and show that they model asymptotic periods of a Calabi--Yau threefold near the conifold point, the large complex structure point, and the Tyurin degeneration.

[ { "created": "Tue, 23 Mar 2021 18:00:01 GMT", "version": "v1" } ]

2022-05-18

[ [ "Grimm", "Thomas W.", "" ], [ "Monnee", "Jeroen", "" ], [ "van de Heisteeg", "Damian", "" ] ]

It was recently suggested that certain UV-completable supersymmetric actions can be characterized by the solutions to an auxiliary non-linear sigma-model with special asymptotic boundary conditions. The space-time of this sigma-model is the scalar field space of these effective theories while the target space is a coset space. We study this sigma-model without any reference to a potentially underlying geometric description. Using a holographic approach reminiscent of the bulk reconstruction in the AdS/CFT correspondence, we then derive its near-boundary solutions for a two-dimensional space-time. Specifying a set of $ Sl(2,\mathbb{R})$ boundary data we show that the near-boundary solutions are uniquely fixed after imposing a single bulk-boundary matching condition. The reconstruction exploits an elaborate set of recursion relations introduced by Cattani, Kaplan, and Schmid in the proof of the $Sl(2)$-orbit theorem. We explicitly solve these recursion relations for three sets of simple boundary data and show that they model asymptotic periods of a Calabi--Yau threefold near the conifold point, the large complex structure point, and the Tyurin degeneration.

12.95899

12.783824

15.345563

12.485302

13.637479

13.9512

13.343383

13.175736

13.099333

14.648897

12.282707

11.833552

12.84201

11.780461

11.898851

11.311771

11.82187

11.481609

11.832227

12.631002

11.395541

1808.02492

Shouvik Datta

Ofer Aharony, Shouvik Datta, Amit Giveon, Yunfeng Jiang, David Kutasov

Modular invariance and uniqueness of $T\bar{T}$ deformed CFT

20 pages; v2 : minor improvements in presentation

null

10.1007/JHEP01(2019)086

null

hep-th

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

Any two dimensional quantum field theory that can be consistently defined on a torus is invariant under modular transformations. In this paper we study families of quantum field theories labeled by a dimensionful parameter $t$, that have the additional property that the energy of a state at finite $t$ is a function only of $t$ and of the energy and momentum of the corresponding state at $t=0$, where the theory becomes conformal. We show that under this requirement, the partition sum of the theory at $t=0$ uniquely determines the partition sum (and thus the spectrum) of the perturbed theory, to all orders in $t$, to be that of a $T\bar T$ deformed CFT. Non-perturbatively, we find that for one sign of $t$ (for which the energies are real) the partition sum is uniquely determined, while for the other sign we find non-perturbative ambiguities. We characterize these ambiguities and comment on their possible relations to holography.

[ { "created": "Tue, 7 Aug 2018 18:00:04 GMT", "version": "v1" }, { "created": "Wed, 6 Mar 2019 18:13:49 GMT", "version": "v2" } ]

2019-03-07

[ [ "Aharony", "Ofer", "" ], [ "Datta", "Shouvik", "" ], [ "Giveon", "Amit", "" ], [ "Jiang", "Yunfeng", "" ], [ "Kutasov", "David", "" ] ]

Any two dimensional quantum field theory that can be consistently defined on a torus is invariant under modular transformations. In this paper we study families of quantum field theories labeled by a dimensionful parameter $t$, that have the additional property that the energy of a state at finite $t$ is a function only of $t$ and of the energy and momentum of the corresponding state at $t=0$, where the theory becomes conformal. We show that under this requirement, the partition sum of the theory at $t=0$ uniquely determines the partition sum (and thus the spectrum) of the perturbed theory, to all orders in $t$, to be that of a $T\bar T$ deformed CFT. Non-perturbatively, we find that for one sign of $t$ (for which the energies are real) the partition sum is uniquely determined, while for the other sign we find non-perturbative ambiguities. We characterize these ambiguities and comment on their possible relations to holography.

6.101348

5.317374

6.153749

5.247765

5.444423

5.373059

5.435634

5.147387

4.894869

7.050784

5.306754

5.492708

5.755978

5.418048

5.431463

5.544448

5.477948

5.362339

5.498334

5.972399

5.496498

hep-th/9304108

null

Marialuisa Frau, Marco A. R-Monteiro and Stefano Sciuto

$q$-Deformed Classical Lie Algebras and their Anyonic Realization

in Plain TeX; one figure and two tables in LaTeX are not included but available under request , 22 pages, DFTT 16/93

J.Phys.A27:801-816,1994

10.1088/0305-4470/27/3/022

null

hep-th

null

All classical Lie algebras can be realized \`a la Schwinger in terms of fermionic oscillators. We show that the same can be done for their $q$-deformed counterparts by simply replacing the fermionic oscillators with anyonic ones defined on a two dimensional lattice. The deformation parameter $q$ is a phase related to the anyonic statistical parameter. A crucial r\^ole in this construction is played by a sort of bosonization formula which gives the generators of the quantum algebras in terms of the underformed ones. The entire procedure works even on one dimensional chains; in such a case $q$ can also be real.

[ { "created": "Fri, 23 Apr 1993 07:55:56 GMT", "version": "v1" } ]

2011-07-21

[ [ "Frau", "Marialuisa", "" ], [ "R-Monteiro", "Marco A.", "" ], [ "Sciuto", "Stefano", "" ] ]

All classical Lie algebras can be realized \`a la Schwinger in terms of fermionic oscillators. We show that the same can be done for their $q$-deformed counterparts by simply replacing the fermionic oscillators with anyonic ones defined on a two dimensional lattice. The deformation parameter $q$ is a phase related to the anyonic statistical parameter. A crucial r\^ole in this construction is played by a sort of bosonization formula which gives the generators of the quantum algebras in terms of the underformed ones. The entire procedure works even on one dimensional chains; in such a case $q$ can also be real.

8.275139

7.304945

8.110743

7.278431

7.764936

7.755671

8.406009

7.431893

7.761363

9.481151

7.281279

7.367127

7.891877

7.281603

7.4813

7.575429

7.51731

7.343639

7.422109

7.674628

7.256669

1801.08183

Oleg Teryaev

V.I. Zakharov, O.V. Teryaev

Quark-hadron duality in hydrodynamics: an example

7 pages, no figures

null

hep-th

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

We consider the problem of transferring overall rotation of quark-gluon plasma to polarization of hyperons along the rotation axis. As a toy theoretical model, we exploit that of pionic superfluidity induced by chemical potentials violating isotopic symmetry. Apparently, the model accounts only for the light degrees of freedom, that is pions. The rotation, however, results in vortices which are infinitely thin in the hydrodynamic approximation. Field theory resolves the singularity and predicts that the core of the vortices is build up on spins of baryons. We review consequences from the quark-hadron duality in this case. First, an anomalous triangle graph in effective field theory turns to be dual to the vorticity term in the standard hydrodynamic expansion. And, then, the overall coefficient determining the polarization of baryons is fixed by duality with the triangle graph in the fundamental field theory.

[ { "created": "Wed, 24 Jan 2018 20:46:47 GMT", "version": "v1" } ]

2018-01-26

[ [ "Zakharov", "V. I.", "" ], [ "Teryaev", "O. V.", "" ] ]

We consider the problem of transferring overall rotation of quark-gluon plasma to polarization of hyperons along the rotation axis. As a toy theoretical model, we exploit that of pionic superfluidity induced by chemical potentials violating isotopic symmetry. Apparently, the model accounts only for the light degrees of freedom, that is pions. The rotation, however, results in vortices which are infinitely thin in the hydrodynamic approximation. Field theory resolves the singularity and predicts that the core of the vortices is build up on spins of baryons. We review consequences from the quark-hadron duality in this case. First, an anomalous triangle graph in effective field theory turns to be dual to the vorticity term in the standard hydrodynamic expansion. And, then, the overall coefficient determining the polarization of baryons is fixed by duality with the triangle graph in the fundamental field theory.

15.241525

16.776289

16.884338

14.481477

16.851763

17.513557

17.777117

16.822342

15.343566

18.80419

15.554989

15.212481

15.137943

14.977604

14.954206

15.624096

15.268414

15.332489

14.781256

15.765323

15.260243

1708.03148

Elizabeth Winstanley

Victor E. Ambrus and Elizabeth Winstanley

Quantum corrections in thermal states of fermions on anti-de Sitter space-time

6 pages, 2 figures, minor changes, to appear in the proceedings of the TIM-17 Physics Conference, 25-27 May 2017, Timisoara, Romania

null

10.1063/1.5017425

null

hep-th

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

We study the energy density and pressure of a relativistic thermal gas of massless fermions on four-dimensional Minkowski and anti-de Sitter space-times using relativistic kinetic theory. The corresponding quantum field theory quantities are given by components of the renormalized expectation value of the stress-energy tensor operator acting on a thermal state. On Minkowski space-time, the renormalized vacuum expectation value of the stress-energy tensor is by definition zero, while on anti-de Sitter space-time the vacuum contribution to this expectation value is in general nonzero. We compare the properties of the vacuum and thermal expectation values of the energy density and pressure for massless fermions and discuss the circumstances in which the thermal contribution dominates over the vacuum one.

[ { "created": "Thu, 10 Aug 2017 10:11:29 GMT", "version": "v1" }, { "created": "Thu, 16 Nov 2017 18:15:23 GMT", "version": "v2" } ]

2018-01-17

[ [ "Ambrus", "Victor E.", "" ], [ "Winstanley", "Elizabeth", "" ] ]

We study the energy density and pressure of a relativistic thermal gas of massless fermions on four-dimensional Minkowski and anti-de Sitter space-times using relativistic kinetic theory. The corresponding quantum field theory quantities are given by components of the renormalized expectation value of the stress-energy tensor operator acting on a thermal state. On Minkowski space-time, the renormalized vacuum expectation value of the stress-energy tensor is by definition zero, while on anti-de Sitter space-time the vacuum contribution to this expectation value is in general nonzero. We compare the properties of the vacuum and thermal expectation values of the energy density and pressure for massless fermions and discuss the circumstances in which the thermal contribution dominates over the vacuum one.

5.048825

4.763554

4.745242

5.017444

5.043883

4.694831

5.364183

4.963171

4.896398

5.424699

4.91969

4.942781

5.04156

5.117136

4.951169

5.056694

5.06374

4.918465

5.066693

5.027792

5.019341

hep-th/0310062

Yi-Xin Chen

Yi-Xin Chen and Jing Shao

Giant Gravitons in type IIA PP-wave Background

10 pages, no figure, content added, typo corrected, reference added

Phys.Rev. D69 (2004) 106010

10.1103/PhysRevD.69.106010

null

hep-th

null

We examine giant gravitons with a worldvolume magnetic flux $q$ in type IIA pp-wave background and find that they can move away from the origin along $x^4$ direction in target space satisfying $Rx^4=-q$. This nontrivial relation can be regarded as a complementary relation of the giant graviton on IIA pp-wave and is shown to be connected to the spacetime uncertainty principle. The giant graviton is also investigated in a system of N D0-branes as a fuzzy sphere solution. It is observed that $x^4$ enters into the fuzzy algebra as a deformation parameter. Such a background dependent Myers effect guarantees that we again get the crucial relation of our giant graviton. In the paper, we also find a BIon configuration on the giant graviton in this background.

[ { "created": "Tue, 7 Oct 2003 07:08:14 GMT", "version": "v1" }, { "created": "Fri, 2 Jan 2004 08:06:19 GMT", "version": "v2" } ]

2009-11-10

[ [ "Chen", "Yi-Xin", "" ], [ "Shao", "Jing", "" ] ]

We examine giant gravitons with a worldvolume magnetic flux $q$ in type IIA pp-wave background and find that they can move away from the origin along $x^4$ direction in target space satisfying $Rx^4=-q$. This nontrivial relation can be regarded as a complementary relation of the giant graviton on IIA pp-wave and is shown to be connected to the spacetime uncertainty principle. The giant graviton is also investigated in a system of N D0-branes as a fuzzy sphere solution. It is observed that $x^4$ enters into the fuzzy algebra as a deformation parameter. Such a background dependent Myers effect guarantees that we again get the crucial relation of our giant graviton. In the paper, we also find a BIon configuration on the giant graviton in this background.

14.140727

13.387347

16.361214

13.127703

14.421532

13.310659

12.876381

13.337155

12.097633

16.762064

12.916688

13.494205

14.626234

12.917624

13.431726

13.008498

13.146081

12.571995

13.004309

14.598207

12.639956

1911.04414

Orlando Panella

L. Mattioli, A. M. Frassino and O. Panella

Casimir-Polder interactions with massive photons: implications for BSM physics

12 pages, 2 figures

Phys. Rev. D 100, 116023 (2019)

10.1103/PhysRevD.100.116023

null

hep-th

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

We present the derivation of the Casimir-Polder interactions mediated by a massive photon between two neutral systems described in terms of their atomic polarizability tensors. We find a compact expression for the leading term at large distances between the two systems. Our result reduces, in the mass-less photon limit, to the standard Casimir-Polder. We discuss implications of our findings with respect to recent scenarios of physics beyond the standard model such as universal extra dimensions, Randall-Sundrum and scale-invariant models. For each model we compute the correction to the Casimir-Polder interaction in terms of the free parameters.

[ { "created": "Mon, 11 Nov 2019 17:40:44 GMT", "version": "v1" } ]

2020-01-08

[ [ "Mattioli", "L.", "" ], [ "Frassino", "A. M.", "" ], [ "Panella", "O.", "" ] ]

We present the derivation of the Casimir-Polder interactions mediated by a massive photon between two neutral systems described in terms of their atomic polarizability tensors. We find a compact expression for the leading term at large distances between the two systems. Our result reduces, in the mass-less photon limit, to the standard Casimir-Polder. We discuss implications of our findings with respect to recent scenarios of physics beyond the standard model such as universal extra dimensions, Randall-Sundrum and scale-invariant models. For each model we compute the correction to the Casimir-Polder interaction in terms of the free parameters.

8.505496

8.685096

8.485264

7.77636

9.304335

9.006447

8.397271

8.302763

8.102959

8.717559

8.825508

8.474082

7.904543

7.958694

8.307892

8.490902

8.484286

8.087211

7.925346

8.137399

8.558127

1710.01791

Edward Witten

Symmetry and Emergence

10 pp

null

10.1038/nphys4348

null

hep-th cond-mat.other hep-ph

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

I discuss gauge and global symmetries in particle physics, condensed matter physics, and quantum gravity. In a modern understanding, global symmetries are approximate and gauge symmetries may be emergent. (Based on a lecture at the April, 2016 meeting of the American Physical Society in Salt Lake City, Utah.)

[ { "created": "Wed, 4 Oct 2017 20:22:01 GMT", "version": "v1" }, { "created": "Tue, 10 Oct 2017 17:33:06 GMT", "version": "v2" }, { "created": "Wed, 7 Feb 2018 02:46:24 GMT", "version": "v3" } ]

2018-03-14

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

I discuss gauge and global symmetries in particle physics, condensed matter physics, and quantum gravity. In a modern understanding, global symmetries are approximate and gauge symmetries may be emergent. (Based on a lecture at the April, 2016 meeting of the American Physical Society in Salt Lake City, Utah.)

6.930402

6.206595

6.276431

5.767557

5.853925

6.238653

6.38255

5.904758

5.555712

6.212056

6.126717

5.910437

5.866289

6.025215

5.630756

6.034341

5.672544

5.703704

5.727038

5.92663

5.682967

hep-th/0410137

Horatiu Stefan Nastase

Horatiu Nastase

On fuzzy spheres and (M)atrix actions

12 pages, latex

null

hep-th

null

In this note we compare even and odd fuzzy sphere constructions, their dimensional reductions and possible (M)atrix actions having them as solutions. We speculate on how the fuzzy 5-sphere might appear as a solution to the pp wave (M)atrix model.

[ { "created": "Tue, 12 Oct 2004 15:46:43 GMT", "version": "v1" } ]

2007-05-23

[ [ "Nastase", "Horatiu", "" ] ]

In this note we compare even and odd fuzzy sphere constructions, their dimensional reductions and possible (M)atrix actions having them as solutions. We speculate on how the fuzzy 5-sphere might appear as a solution to the pp wave (M)atrix model.

24.834871

18.021275

19.958378

16.87719

21.681185

19.7875

16.724541

17.314754

16.370646

18.481285

15.866715

16.86606

17.585732

16.295721

16.472746

17.506481

17.779444

16.386608

17.465992

18.976593

16.991182

hep-th/9510146

Igor Tkatchev

I. I. Tkachev

Phase Transitions at Preheating

Some statements are corrected. Also, comments of the referee of Phys. Lett. B are taken into account; 12 pages, no figures, LaTeX

Phys.Lett. B376 (1996) 35-40

10.1016/0370-2693(96)00297-3

OSU-TA-21/95

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

null

Symmetry restoration processes during the non-equilibrium stage of ``preheating'' after inflation is studied. It is shown that symmetry restoration is very efficient when the majority of created particles are concentrated at energies much smaller than the temperature $T$ in equilibrium. The strength of symmetry restoration measured in terms of the equivalent temperature can exceed $T$ by many orders of magnitude. In some models the effect can be equivalent to that if the temperature of instant reheating would be close to the Planck scale. This can have an important impact on GUT and axion models.

[ { "created": "Thu, 19 Oct 1995 22:06:14 GMT", "version": "v1" }, { "created": "Mon, 23 Oct 1995 20:31:52 GMT", "version": "v2" }, { "created": "Wed, 7 Feb 1996 20:01:25 GMT", "version": "v3" } ]

2009-10-28

[ [ "Tkachev", "I. I.", "" ] ]

Symmetry restoration processes during the non-equilibrium stage of ``preheating'' after inflation is studied. It is shown that symmetry restoration is very efficient when the majority of created particles are concentrated at energies much smaller than the temperature $T$ in equilibrium. The strength of symmetry restoration measured in terms of the equivalent temperature can exceed $T$ by many orders of magnitude. In some models the effect can be equivalent to that if the temperature of instant reheating would be close to the Planck scale. This can have an important impact on GUT and axion models.

11.46125

12.120197

12.064981

11.138678

10.580403

11.91931

10.933964

10.879893

10.416921

10.615196

10.676167

10.196533

10.000677

10.011372

9.953562

10.172581

9.928572

10.089964

9.779932

9.606468

10.461408

2306.05264

Sidan A

Sidan A, Tom Banks, Willy Fischler

Quantum theory of three-dimensional de Sitter space

23 pages, 13 figures

Physical Review D, Vol. 109, Iss. 2 (2024)

10.1103/PhysRevD.109.025011

null

hep-th gr-qc

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

We sketch the construction of a quantum model of 3 dimensional de Sitter space, based on the Covariant Entropy Principle and the observation that semi-classical physics suggests the possibility of a consistent theory of a finite number of unstable massive particles with purely gravitational interactions. Our model is holographic, finite, unitary, causal, plausibly exhibits fast scrambling, and qualitatively reproduces features of semi-classical de Sitter physics. In an appendix we outline some calculations that might lead to further tests of the model.

[ { "created": "Thu, 8 Jun 2023 15:08:59 GMT", "version": "v1" }, { "created": "Tue, 30 Jan 2024 15:47:17 GMT", "version": "v2" } ]

2024-01-31

[ [ "A", "Sidan", "" ], [ "Banks", "Tom", "" ], [ "Fischler", "Willy", "" ] ]

We sketch the construction of a quantum model of 3 dimensional de Sitter space, based on the Covariant Entropy Principle and the observation that semi-classical physics suggests the possibility of a consistent theory of a finite number of unstable massive particles with purely gravitational interactions. Our model is holographic, finite, unitary, causal, plausibly exhibits fast scrambling, and qualitatively reproduces features of semi-classical de Sitter physics. In an appendix we outline some calculations that might lead to further tests of the model.

12.804282

11.747853

12.442083

11.33852

11.681483

11.284197

10.918018

10.767967

11.906122

11.647704

10.697802

11.58105

12.13354

11.250725

11.179991

11.17322

11.256201

11.322975

11.39101

11.702423

11.170661

hep-th/9803225

Francesco Sannino

Noriaki Kitazawa and Francesco Sannino (Yale Univ.)

Towards Deriving Higgs Lagrangian from Gauge Theories

15 pages, 3 figures, ReVTeX file

null

YCTP-P4-98

hep-th hep-ph

null

A new method of deriving the Higgs Lagrangian from vector-like gauge theories is explored. After performing a supersymmetric extension of gauge theories we identify the auxiliary field associated with the "meson" superfield, in the low energy effective theory, as the composite Higgs field. The auxiliary field, at tree level, has a "negative squared mass". By computing the one-loop effective action in the low energy effective theory, we show that a kinetic term for the auxiliary field emerges when an explicit non-perturbative mechanism for supersymmetry breaking is introduced. We find that, due to the naive choice of the Kaehler potential, the Higgs potential remains unbounded from the below. A possible scenario for solving this problem is presented. It is also shown that once chiral symmetry is spontaneously broken via a non-zero vacuum expectation value of the Higgs field, the low energy composite fermion field acquires a mass and decouples, while in the supersymmetric limit it was kept massless by the 't Hooft anomaly matching conditions.

[ { "created": "Thu, 26 Mar 1998 22:26:42 GMT", "version": "v1" } ]

2007-05-23

[ [ "Kitazawa", "Noriaki", "", "Yale Univ." ], [ "Sannino", "Francesco", "", "Yale Univ." ] ]

A new method of deriving the Higgs Lagrangian from vector-like gauge theories is explored. After performing a supersymmetric extension of gauge theories we identify the auxiliary field associated with the "meson" superfield, in the low energy effective theory, as the composite Higgs field. The auxiliary field, at tree level, has a "negative squared mass". By computing the one-loop effective action in the low energy effective theory, we show that a kinetic term for the auxiliary field emerges when an explicit non-perturbative mechanism for supersymmetry breaking is introduced. We find that, due to the naive choice of the Kaehler potential, the Higgs potential remains unbounded from the below. A possible scenario for solving this problem is presented. It is also shown that once chiral symmetry is spontaneously broken via a non-zero vacuum expectation value of the Higgs field, the low energy composite fermion field acquires a mass and decouples, while in the supersymmetric limit it was kept massless by the 't Hooft anomaly matching conditions.

7.89394

8.393816

8.104632

8.029508

7.943826

8.613318

7.891577

8.406253

7.720279

8.442962

8.192582

7.889748

8.133917

7.790395

8.027383

8.036705

8.093653

7.935384

7.831112

8.125534

7.91634

2103.03197

David Horvath

David X. Horvath, Luca Capizzi and Pasquale Calabrese

U(1) symmetry resolved entanglement in free 1+1 dimensional field theories via form factor bootstrap

null

JHEP 05 (2021) 197

10.1007/JHEP05(2021)197

null

hep-th cond-mat.stat-mech

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

We generalise the form factor bootstrap approach to integrable field theories with U(1) symmetry to derive matrix elements of composite branch-point twist fields associated with symmetry resolved entanglement entropies. The bootstrap equations are solved for the free massive Dirac and complex boson theories, which are the simplest theories with U(1) symmetry. We present the exact and complete solution for the bootstrap, including vacuum expectation values and form factors involving any type and arbitrarily number of particles. The non-trivial solutions are carefully cross-checked by performing various limits and by the application of the Delta-theorem. An alternative and compact determination of the novel form factors is also presented. Based on the form factors of the U(1) composite branch-point twist fields, we re-derive earlier results showing entanglement equipartition for an interval in the ground state of the two models.

[ { "created": "Thu, 4 Mar 2021 18:00:19 GMT", "version": "v1" }, { "created": "Thu, 20 May 2021 11:00:45 GMT", "version": "v2" } ]

2021-09-30

[ [ "Horvath", "David X.", "" ], [ "Capizzi", "Luca", "" ], [ "Calabrese", "Pasquale", "" ] ]

We generalise the form factor bootstrap approach to integrable field theories with U(1) symmetry to derive matrix elements of composite branch-point twist fields associated with symmetry resolved entanglement entropies. The bootstrap equations are solved for the free massive Dirac and complex boson theories, which are the simplest theories with U(1) symmetry. We present the exact and complete solution for the bootstrap, including vacuum expectation values and form factors involving any type and arbitrarily number of particles. The non-trivial solutions are carefully cross-checked by performing various limits and by the application of the Delta-theorem. An alternative and compact determination of the novel form factors is also presented. Based on the form factors of the U(1) composite branch-point twist fields, we re-derive earlier results showing entanglement equipartition for an interval in the ground state of the two models.

12.750547

9.988187

15.581884

11.058905

10.976352

10.926409

11.196258

10.855514

11.371903

17.241617

10.461532

11.646538

13.730946

11.605322

11.163477

11.473742

11.360641

11.374959

11.369198

13.944333

11.555229

hep-th/0104236

Martin Cederwall

Martin Cederwall, Bengt E.W. Nilsson and Dimitrios Tsimpis

D=10 Super-Yang-Mills at O(alpha'^2)

19 pp., plain tex

JHEP 0107:042,2001

10.1088/1126-6708/2001/07/042

Goteborg-ITP-preprint 2001

hep-th

null

Using superspace techniques, the complete and most general action of D=10 super-Yang--Mills theory is constructed at the alpha'^2 level. No other approximations, e.g., keeping only a subset of the allowed derivative terms, are used. The Lorentz structure of the alpha'^2 corrections is completely determined, while (depending on the gauge group) there is some freedom in the adjoint structure, which is given by a totally symmetric four-index tensor. We examine the second, non-linearly realised supersymmetry that may be present when the gauge group has a U(1) factor, and find that the constraints from linear and non-linear supersymmetry to a large extent coincide. However, the additional restrictions on the adjoint structure of the order alpha'^2 interactions following from the requirement of non-linear supersymmetry do not completely specify the symmetrised trace prescription.

[ { "created": "Thu, 26 Apr 2001 12:51:32 GMT", "version": "v1" } ]

2010-02-03

[ [ "Cederwall", "Martin", "" ], [ "Nilsson", "Bengt E. W.", "" ], [ "Tsimpis", "Dimitrios", "" ] ]

Using superspace techniques, the complete and most general action of D=10 super-Yang--Mills theory is constructed at the alpha'^2 level. No other approximations, e.g., keeping only a subset of the allowed derivative terms, are used. The Lorentz structure of the alpha'^2 corrections is completely determined, while (depending on the gauge group) there is some freedom in the adjoint structure, which is given by a totally symmetric four-index tensor. We examine the second, non-linearly realised supersymmetry that may be present when the gauge group has a U(1) factor, and find that the constraints from linear and non-linear supersymmetry to a large extent coincide. However, the additional restrictions on the adjoint structure of the order alpha'^2 interactions following from the requirement of non-linear supersymmetry do not completely specify the symmetrised trace prescription.

9.776567

8.782764

9.902511

8.611825

9.440426

9.413881

9.240012

9.451153

9.066203

9.903372

8.851491

8.699178

9.214361

8.938241

8.734393

8.931437

8.976913

9.017823

8.805111

9.62183

8.841799

1808.00492

Dmitri Gal'tsov

Dmitri Gal'tsov and Sophia Zhidkova

Ghost-free Palatini derivative scalar-tensor theory: desingularization and the speed test

New references added, discussion of disformal duality extended, misprints corrected

null

10.1016/j.physletb.2019.01.061

null

hep-th astro-ph.CO gr-qc

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

We disclose remarkable features of the scalar-tensor theory with the derivative coupling of the scalar field to the curvature in the Palatini formalism. Using the disformal transformations, we show that this theory is free from Otrogradski ghosts. For a special relation between two coupling constants, it is disformally dual to the Einstein gravity minimally coupled to the scalar, which opens the way to constructing several exact solutions. The disformal transformation degenerates at the boundary of the physical region, near which the properties of desingularization are revealed, illustrated by exact solutions: non-singular accelerating cosmology and a static spherically symmetric geon. We also construct the exact pp-waves of this theory propagating at the speed of light.

[ { "created": "Wed, 1 Aug 2018 18:17:09 GMT", "version": "v1" }, { "created": "Wed, 15 Aug 2018 20:47:14 GMT", "version": "v2" } ]

2019-02-06

[ [ "Gal'tsov", "Dmitri", "" ], [ "Zhidkova", "Sophia", "" ] ]

We disclose remarkable features of the scalar-tensor theory with the derivative coupling of the scalar field to the curvature in the Palatini formalism. Using the disformal transformations, we show that this theory is free from Otrogradski ghosts. For a special relation between two coupling constants, it is disformally dual to the Einstein gravity minimally coupled to the scalar, which opens the way to constructing several exact solutions. The disformal transformation degenerates at the boundary of the physical region, near which the properties of desingularization are revealed, illustrated by exact solutions: non-singular accelerating cosmology and a static spherically symmetric geon. We also construct the exact pp-waves of this theory propagating at the speed of light.

12.310365

12.730406

12.141181

12.211114

13.256917

11.904109

12.95629

12.192528

11.643756

14.009588

11.803963

12.397666

11.57872

11.688745

12.313922

12.36684

12.347546

12.085897

11.78935

11.864439

11.828393

2110.08703

Chen-Te Ma

Xing Huang and Chen-Te Ma

Emergence of Kinematic Space from Quantum Modular Geometric Tensor

15 pages, 1 figure

null

10.1016/j.physletb.2022.136893

null

hep-th

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

We generalize the Quantum Geometric Tensor by replacing a Hamiltonian with a modular Hamiltonian. The symmetric part of the Quantum Geometric Tensor provides a Fubini-Study metric, and its anti-symmetric sector gives a Berry curvature. Now the generalization or Quantum Modular Geometric Tensor gives a Kinematic Space and a modular Berry curvature. Here we demonstrate the emergence by focusing on a spherical entangling surface. We also use the result of the identity Virasoro block to relate the connected correlator of two Wilson lines to the two-point function of a modular Hamiltonian. This result realizes a novel holographic entanglement formula for two intervals of a general separation. This formula does not only hold for a classical gravity sector but also Quantum Gravity. The formula also provides a new Quantum Information interpretation to the connected correlators of Wilson lines as the mutual information. Our study provides an opportunity to explore Quantum Kinematic Space through Quantum Modular Geometric Tensor and hence go beyond symmetry.

[ { "created": "Sun, 17 Oct 2021 02:30:50 GMT", "version": "v1" } ]

2022-01-12

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

We generalize the Quantum Geometric Tensor by replacing a Hamiltonian with a modular Hamiltonian. The symmetric part of the Quantum Geometric Tensor provides a Fubini-Study metric, and its anti-symmetric sector gives a Berry curvature. Now the generalization or Quantum Modular Geometric Tensor gives a Kinematic Space and a modular Berry curvature. Here we demonstrate the emergence by focusing on a spherical entangling surface. We also use the result of the identity Virasoro block to relate the connected correlator of two Wilson lines to the two-point function of a modular Hamiltonian. This result realizes a novel holographic entanglement formula for two intervals of a general separation. This formula does not only hold for a classical gravity sector but also Quantum Gravity. The formula also provides a new Quantum Information interpretation to the connected correlators of Wilson lines as the mutual information. Our study provides an opportunity to explore Quantum Kinematic Space through Quantum Modular Geometric Tensor and hence go beyond symmetry.

15.530805

16.523598

19.510244

14.992625

16.269777

15.896171

17.510979

16.843649

15.005048

21.004442

14.636445

15.086161

16.350252

15.666224

15.809515

16.429386

15.99245

16.001717

15.515742

16.709389

15.821692

hep-th/9911164

Robert C. Myers

C.P. Burgess, R.C. Myers and F. Quevedo

A Naturally Small Cosmological Constant on the Brane?

7 pages. Powercounting arguments clarified, and comparison between the induced cosmological constant and supersymmetric mass splittings made more explicit

Phys.Lett. B495 (2000) 384-393

10.1016/S0370-2693(00)01255-7

McGill-98/37, DAMTP-1998-173

hep-th

null

There appears to be no natural explanation for the cosmological constant's small size within the framework of local relativistic field theories. We argue that the recently-discussed framework for which the observable universe is identified with a p-brane embedded within a higher-dimensional `bulk' spacetime, has special properties that may help circumvent the obstacles to this understanding. This possibility arises partly due to several unique features of the brane proposal. These are: (1) the potential such models introduce for partially breaking supersymmetry, (2) the possibility of having low-energy degrees of freedom which are not observable to us because they are physically located on a different brane, (3) the fundamental scale may be much smaller than the Planck scale. Furthermore, although the resulting cosmological constant in the scenarios we outline is naturally suppressed by weak coupling constants of gravitational strength, it need not be exactly zero, raising the possibility it could be in the range favoured by recent cosmological observations.

[ { "created": "Sun, 21 Nov 1999 18:05:45 GMT", "version": "v1" }, { "created": "Wed, 22 Dec 1999 20:04:34 GMT", "version": "v2" }, { "created": "Sat, 1 Jul 2000 23:15:53 GMT", "version": "v3" } ]

2009-10-31

[ [ "Burgess", "C. P.", "" ], [ "Myers", "R. C.", "" ], [ "Quevedo", "F.", "" ] ]

There appears to be no natural explanation for the cosmological constant's small size within the framework of local relativistic field theories. We argue that the recently-discussed framework for which the observable universe is identified with a p-brane embedded within a higher-dimensional `bulk' spacetime, has special properties that may help circumvent the obstacles to this understanding. This possibility arises partly due to several unique features of the brane proposal. These are: (1) the potential such models introduce for partially breaking supersymmetry, (2) the possibility of having low-energy degrees of freedom which are not observable to us because they are physically located on a different brane, (3) the fundamental scale may be much smaller than the Planck scale. Furthermore, although the resulting cosmological constant in the scenarios we outline is naturally suppressed by weak coupling constants of gravitational strength, it need not be exactly zero, raising the possibility it could be in the range favoured by recent cosmological observations.

12.341983

12.176768

11.528947

11.163235

12.62944

12.935966

12.407022

12.020953

10.789979

11.974493

11.246885

11.003597

11.220412

11.150632

11.444228

11.456197

11.468297

11.380835

10.809702

11.252627

11.335049

1605.08355

Yeinzon Rodriguez Garcia

Erwan Allys (1), Juan P. Beltran Almeida (2), Patrick Peter (1,3), Yeinzon Rodriguez (2,4,5) ((1) Institut d'Astrophysique de Paris, (2) Universidad Antonio Narino, (3) Institut Lagrange de Paris, (4) Universidad Industrial de Santander, (5) The Abdus Salam International Centre for Theoretical Physics)

On the 4D generalized Proca action for an Abelian vector field

LaTeX file in jcappub style, 11 pages, no figures. v2: Minor changes according to the referee requirements. A new parity-violating term in the Lagrangian has been uncovered and the text has been changed accordingly. The conclusions are, essentially, unchanged. v3: Miscellaneous changes. Version to be published in Journal of Cosmology and Astroparticle Physics

JCAP 1609: 026, 2016

10.1088/1475-7516/2016/09/026

PI/UAN-2016-595FT

hep-th astro-ph.CO gr-qc

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

We summarize previous results on the most general Proca theory in 4 dimensions containing only first-order derivatives in the vector field (second-order at most in the associated St\"uckelberg scalar) and having only three propagating degrees of freedom with dynamics controlled by second-order equations of motion. Discussing the Hessian condition used in previous works, we conjecture that, as in the scalar galileon case, the most complete action contains only a finite number of terms with second-order derivatives of the St\"uckelberg field describing the longitudinal mode, which is in agreement with the results of JCAP 1405, 015 (2014) and Phys. Lett. B 757, 405 (2016) and complements those of JCAP 1602, 004 (2016). We also correct and complete the parity violating sector, obtaining an extra term on top of the arbitrary function of the field $A_\mu$, the Faraday tensor $F_{\mu \nu}$ and its Hodge dual $\tilde{F}_{\mu \nu}$.

[ { "created": "Thu, 26 May 2016 16:36:10 GMT", "version": "v1" }, { "created": "Sat, 23 Jul 2016 18:23:05 GMT", "version": "v2" }, { "created": "Fri, 9 Sep 2016 09:36:21 GMT", "version": "v3" } ]

2016-09-20

[ [ "Allys", "Erwan", "" ], [ "Almeida", "Juan P. Beltran", "" ], [ "Peter", "Patrick", "" ], [ "Rodriguez", "Yeinzon", "" ] ]

We summarize previous results on the most general Proca theory in 4 dimensions containing only first-order derivatives in the vector field (second-order at most in the associated St\"uckelberg scalar) and having only three propagating degrees of freedom with dynamics controlled by second-order equations of motion. Discussing the Hessian condition used in previous works, we conjecture that, as in the scalar galileon case, the most complete action contains only a finite number of terms with second-order derivatives of the St\"uckelberg field describing the longitudinal mode, which is in agreement with the results of JCAP 1405, 015 (2014) and Phys. Lett. B 757, 405 (2016) and complements those of JCAP 1602, 004 (2016). We also correct and complete the parity violating sector, obtaining an extra term on top of the arbitrary function of the field $A_\mu$, the Faraday tensor $F_{\mu \nu}$ and its Hodge dual $\tilde{F}_{\mu \nu}$.

8.207405

9.090933

8.398194

8.078159

8.888948

8.996942

9.435678

8.289911

8.141218

8.224851

8.245203

8.131811

8.070289

7.762282

7.810404

7.899786

7.891518

8.314792

7.83682

8.030691

7.807806

hep-th/9409060

Andrei Linde

R. Kallosh and T. Ortin

Exact SU(2)*U(1) Stringy Black Holes

10 pages, SU-ITP-94-27 and QMW-PH-94-34 (version accepted for publication in Phys. Rev., contains a discussion of (4.1) supersymmetry of the black hole sigma model)

Phys.Rev.D50:7123-7127,1994

10.1103/PhysRevD.50.R7123

null

hep-th gr-qc

null

Extreme magnetic dilaton black holes are promoted to exact solutions of heterotic string theory with unbroken supersymmetry. With account taken of alpha' corrections this is accomplished by supplementing the known solutions with SU(2) Yang-Mills vectors and scalars in addition to the already existing Abelian U(1) vector field. The solution has a simple analytic form and includes multi-black-holes. The issue of exactness of other black-hole-type solutions, including extreme dilaton electrically charged black holes and Taub-NUT solutions is discussed.

[ { "created": "Sun, 11 Sep 1994 22:10:01 GMT", "version": "v1" }, { "created": "Tue, 8 Nov 1994 17:44:06 GMT", "version": "v2" } ]

2009-12-30

[ [ "Kallosh", "R.", "" ], [ "Ortin", "T.", "" ] ]

Extreme magnetic dilaton black holes are promoted to exact solutions of heterotic string theory with unbroken supersymmetry. With account taken of alpha' corrections this is accomplished by supplementing the known solutions with SU(2) Yang-Mills vectors and scalars in addition to the already existing Abelian U(1) vector field. The solution has a simple analytic form and includes multi-black-holes. The issue of exactness of other black-hole-type solutions, including extreme dilaton electrically charged black holes and Taub-NUT solutions is discussed.

12.845549

12.566413

13.716768

11.034117

13.302007

11.669508

11.238467

11.665124

10.145397

13.303381

11.336456

10.62349

12.429036

11.643119

12.032537

12.511802

10.666929

11.863479

10.635475

12.382258

11.935931

1507.04755

Mehrdad Mirbabayi

Mehrdad Mirbabayi and Marko Simonovi\'c

Effective Theory of Squeezed Correlation Functions

19+6 pages

null

10.1088/1475-7516/2016/03/056

null

hep-th astro-ph.CO

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

Various inflationary scenarios can often be distinguished from one another by looking at the squeezed limit behavior of correlation functions. Therefore, it is useful to have a framework designed to study this limit in a more systematic and efficient way. We propose using an expansion in terms of weakly coupled super-horizon degrees of freedom, which is argued to generically exist in a near de Sitter space-time. The modes have a simple factorized form which leads to factorization of the squeezed-limit correlation functions with power-law behavior in $k_{\rm long}/k_{\rm short}$. This approach reproduces the known results in single-, quasi-single-, and multi-field inflationary models. However, it is applicable even if, unlike the above examples, the additional degrees of freedom are not weakly coupled at sub-horizon scales. Stronger results are derived in two-field (or sufficiently symmetric multi-field) inflationary models. We discuss the observability of the non-Gaussian 3-point function in the large-scale structure surveys, and argue that the squeezed limit behavior has a higher detectability chance than equilateral behavior when it scales as $(k_{\rm long}/k_{\rm short})^\Delta$ with $\Delta<1$ -- where local non-Gaussianity corresponds to $\Delta=0$.

[ { "created": "Thu, 16 Jul 2015 20:03:37 GMT", "version": "v1" }, { "created": "Wed, 22 Jul 2015 16:16:13 GMT", "version": "v2" }, { "created": "Thu, 18 Aug 2016 19:22:07 GMT", "version": "v3" } ]

2016-08-19

[ [ "Mirbabayi", "Mehrdad", "" ], [ "Simonović", "Marko", "" ] ]

Various inflationary scenarios can often be distinguished from one another by looking at the squeezed limit behavior of correlation functions. Therefore, it is useful to have a framework designed to study this limit in a more systematic and efficient way. We propose using an expansion in terms of weakly coupled super-horizon degrees of freedom, which is argued to generically exist in a near de Sitter space-time. The modes have a simple factorized form which leads to factorization of the squeezed-limit correlation functions with power-law behavior in $k_{\rm long}/k_{\rm short}$. This approach reproduces the known results in single-, quasi-single-, and multi-field inflationary models. However, it is applicable even if, unlike the above examples, the additional degrees of freedom are not weakly coupled at sub-horizon scales. Stronger results are derived in two-field (or sufficiently symmetric multi-field) inflationary models. We discuss the observability of the non-Gaussian 3-point function in the large-scale structure surveys, and argue that the squeezed limit behavior has a higher detectability chance than equilateral behavior when it scales as $(k_{\rm long}/k_{\rm short})^\Delta$ with $\Delta<1$ -- where local non-Gaussianity corresponds to $\Delta=0$.

8.001858

9.705652

8.808615

8.09792

9.269409

9.177632

9.316582

9.033337

8.669871

8.787498

9.030124

8.159278

7.959845

7.897113

7.979716

8.294502

7.810044

7.850292

7.823248

8.265897

7.852268

hep-th/0602092

Xavier Bekaert

Xavier Bekaert, Nicolas Boulanger, Sandrine Cnockaert and Serge Leclercq

On Killing tensors and cubic vertices in higher-spin gauge theories

10 pages. Based on a talk given by X.B. at the RTN Workshop ``Constituents, Fundamental Forces and Symmetries of the Universe'' (Corfu, 20-26th September 2005). Contribution to the Proceedings

Fortsch.Phys. 54 (2006) 282-290

10.1002/prop.200510274

null

hep-th

null

The problem of determining all consistent non-Abelian local interactions is reviewed in flat space-time. The antifield-BRST formulation of the free theory is an efficient tool to address this problem. Firstly, it allows to compute all on-shell local Killing tensor fields, which are important because of their deep relationship with higher-spin algebras. Secondly, under the sole assumptions of locality and Poincare invariance, all non-trivial consistent deformations of a sum of spin-three quadratic actions deforming the Abelian gauge algebra were determined. They are compared with lower-spin cases.

[ { "created": "Thu, 9 Feb 2006 18:29:19 GMT", "version": "v1" } ]

2009-11-11

[ [ "Bekaert", "Xavier", "" ], [ "Boulanger", "Nicolas", "" ], [ "Cnockaert", "Sandrine", "" ], [ "Leclercq", "Serge", "" ] ]

The problem of determining all consistent non-Abelian local interactions is reviewed in flat space-time. The antifield-BRST formulation of the free theory is an efficient tool to address this problem. Firstly, it allows to compute all on-shell local Killing tensor fields, which are important because of their deep relationship with higher-spin algebras. Secondly, under the sole assumptions of locality and Poincare invariance, all non-trivial consistent deformations of a sum of spin-three quadratic actions deforming the Abelian gauge algebra were determined. They are compared with lower-spin cases.

15.521722

12.820787

17.083551

13.450072

15.163256

14.142666

13.710916

13.685777

15.793814

18.116829

13.964019

13.294262

15.471065

13.484898

13.805507

13.327674

13.421278

13.617666

13.676317

14.822721

13.969263

hep-th/0108078

Charles F. Doran

Charles F. Doran, Michael Faux and Burt A. Ovrut

Four-Dimensional N=1 Super Yang-Mills Theory from an M-Theory Orbifold

Explanatory paragraph/footnote added to introduction

Adv.Theor.Math.Phys. 6 (2003) 329-355

null

CU-TP-1026, HU-EP-01/29, UPR-950T

hep-th

null

Gravitational and gauge anomalies provide stringent constraints on which subset of chiral models can effectively describe M-theory at low energy. In this paper, we explicitly construct an abelian orbifold of M-theory to obtain an N=1, chiral super Yang-Mills theory in four dimensions, using anomaly matching to determine the entire gauge and representation structure. The model described in this paper is the simplest four dimensional model which one can construct from M-theory compactified on an abelian orbifold without freely-acting involutions. The gauge group is SO(12) x SU(8) x SU(2) x SU(2) x U(1).

[ { "created": "Sat, 11 Aug 2001 21:17:46 GMT", "version": "v1" }, { "created": "Fri, 7 Jun 2002 15:49:43 GMT", "version": "v2" } ]

2007-05-23

[ [ "Doran", "Charles F.", "" ], [ "Faux", "Michael", "" ], [ "Ovrut", "Burt A.", "" ] ]

Gravitational and gauge anomalies provide stringent constraints on which subset of chiral models can effectively describe M-theory at low energy. In this paper, we explicitly construct an abelian orbifold of M-theory to obtain an N=1, chiral super Yang-Mills theory in four dimensions, using anomaly matching to determine the entire gauge and representation structure. The model described in this paper is the simplest four dimensional model which one can construct from M-theory compactified on an abelian orbifold without freely-acting involutions. The gauge group is SO(12) x SU(8) x SU(2) x SU(2) x U(1).

8.538942

7.623198

7.611663

7.387098

7.898015

7.938379

7.069537

7.085512

7.131138

9.017316

7.19329

7.460675

7.625564

7.369445

7.297641

7.547124

7.426458

7.415976

7.311994

8.068047

7.165146

1412.4919

Nejat Yilmaz

Nejat Tevfik Yilmaz

Effective Matter Cosmologies of Massive Gravity: Physical Fluids

19 pages

Phys. Rev. D 90, 124034 (2014)

10.1103/PhysRevD.90.124034

null

hep-th

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

We derive new cosmological solutions of the ghost-free massive gravity with a general background metric in which the contribution of the mass sector to the metric one is modeled by an effective cosmological constant and an ideal fluid which obeys the first law of thermodynamics; thus it satisfies the ordinary energy-momentum conservation or continuity equation.

[ { "created": "Tue, 16 Dec 2014 08:38:59 GMT", "version": "v1" } ]

2014-12-17

[ [ "Yilmaz", "Nejat Tevfik", "" ] ]

We derive new cosmological solutions of the ghost-free massive gravity with a general background metric in which the contribution of the mass sector to the metric one is modeled by an effective cosmological constant and an ideal fluid which obeys the first law of thermodynamics; thus it satisfies the ordinary energy-momentum conservation or continuity equation.

18.17075

14.877983

14.409067

13.707209

14.80835

16.194031

16.559637

14.157458

16.265543

15.147048

13.497072

17.009577

15.372093

15.704934

16.59235

16.731939

16.839859

15.42311

16.397562

15.570305

15.605559

1710.07643

Illan Halpern

Ning Bao and Illan F. Halpern

Holographic Inequalities and Entanglement of Purification

17 pages, 4 figures, 1 table. v2: added clarification and fixed typo

null

10.1007/JHEP03(2018)006

null

hep-th quant-ph

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

We study the conjectured holographic duality between entanglement of purification and the entanglement wedge cross-section. We generalize both quantities and prove several information theoretic inequalities involving them. These include upper bounds on conditional mutual information and tripartite information, as well as a lower bound for tripartite information. These inequalities are proven both holographically and for general quantum states. In addition, we use the cyclic entropy inequalities to derive a new holographic inequality for the entanglement wedge cross-section, and provide numerical evidence that the corresponding inequality for the entanglement of purification may be true in general. Finally, we use intuition from bit threads to extend the conjecture to holographic duals of suboptimal purifications.

[ { "created": "Fri, 20 Oct 2017 18:00:01 GMT", "version": "v1" }, { "created": "Wed, 15 Nov 2017 00:49:10 GMT", "version": "v2" } ]

2018-04-04

[ [ "Bao", "Ning", "" ], [ "Halpern", "Illan F.", "" ] ]

We study the conjectured holographic duality between entanglement of purification and the entanglement wedge cross-section. We generalize both quantities and prove several information theoretic inequalities involving them. These include upper bounds on conditional mutual information and tripartite information, as well as a lower bound for tripartite information. These inequalities are proven both holographically and for general quantum states. In addition, we use the cyclic entropy inequalities to derive a new holographic inequality for the entanglement wedge cross-section, and provide numerical evidence that the corresponding inequality for the entanglement of purification may be true in general. Finally, we use intuition from bit threads to extend the conjecture to holographic duals of suboptimal purifications.

6.285547

5.721422

7.750442

5.856494

6.141427

6.053027

6.460304

5.710958

6.112186

8.496218

5.635193

5.876057

6.577052

6.115358

6.077146

5.906497

6.11202

6.013587

5.968608

6.363503

5.916348

hep-th/9503214

Valery Kosinov

V.A. Soroka

Odd Poisson Bracket in Hamilton's Dynamics

10 pages, LATEX. This talk, given at the Workshop on Variational and Local Methods in the Study of Hamiltonian Systems (24-28 October, ICTP, Trieste, Italy), is submitted for publication in the Proceeding of the Workshop.

null

hep-th

null

Some applications of the odd Poisson bracket to the description of the classical and quantum dynamics are represented.

[ { "created": "Thu, 30 Mar 1995 08:56:52 GMT", "version": "v1" } ]

2007-05-23

[ [ "Soroka", "V. A.", "" ] ]

Some applications of the odd Poisson bracket to the description of the classical and quantum dynamics are represented.

32.216858

9.952798

22.946695

12.179093

14.715894

10.567327

8.953126

11.713673

14.894249

19.313742

12.731914

13.78003

19.809143

16.570698

15.639112

14.023309

17.082664

15.038487

16.76272

19.000757

14.843467

1804.04681

Huibert het Lam

Huibert het Lam and Stefan Vandoren

BPS Solutions of Six-Dimensional (1,0) Supergravity Coupled to Tensor Multiplets

50 pages, no figures; v2: references added, updated discussion on the action of the theory; v3: updated references, minor typos corrected

null

10.1007/JHEP06(2018)021

null

hep-th gr-qc

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

We derive a general local form for supersymmetric solutions of six-dimensional (1,0) supergravity coupled to an arbitrary number of tensor multiplets. We consider some special cases in which the resulting equations can be solved explicitly. In particular we derive black string solutions and calculate their entropy. Upon reducing to five dimensions they yield spinning black hole solutions. We also discuss BPS pp-waves and black string solutions with traveling waves. Lastly, as an application, we study the attractor mechanism in this theory.

[ { "created": "Thu, 12 Apr 2018 18:24:32 GMT", "version": "v1" }, { "created": "Tue, 24 Apr 2018 08:44:45 GMT", "version": "v2" }, { "created": "Tue, 21 Aug 2018 10:12:44 GMT", "version": "v3" } ]

2018-08-22

[ [ "Lam", "Huibert het", "" ], [ "Vandoren", "Stefan", "" ] ]

We derive a general local form for supersymmetric solutions of six-dimensional (1,0) supergravity coupled to an arbitrary number of tensor multiplets. We consider some special cases in which the resulting equations can be solved explicitly. In particular we derive black string solutions and calculate their entropy. Upon reducing to five dimensions they yield spinning black hole solutions. We also discuss BPS pp-waves and black string solutions with traveling waves. Lastly, as an application, we study the attractor mechanism in this theory.

8.553493

7.187918

9.301638

7.411614

7.559739

8.017191

7.100232

7.154328

7.147352

9.507801

7.771571

7.790108

8.58838

7.559051

7.885114

7.632498

7.913408

7.953973

7.814388

8.18065

7.60009

2108.08091

Takayuki Sumimoto

Koji Hashimoto, Keisuke Ohashi, Takayuki Sumimoto

Deriving dilaton potential in improved holographic QCD from meson spectrum

7pages, 5figures. v2: footnote 6 added

null

10.1103/PhysRevD.105.106008

KUNS-2888, OU-HET 1101

hep-th hep-ph

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

We derive an explicit form of the dilaton potential in improved holographic QCD (IHQCD) from the experimental data of the $\rho$ meson spectrum. For this purpose we make use of the emergent bulk geometry obtained by deep learning from the hadronic data in arXiv:2005.02636. Requiring that the geometry is a solution of an IHQCD derives the corresponding dilaton potential backwards. This determines the bulk action in a data-driven way, which enables us at the same time to ensure that the deep learning proposal is a consistent gravity. Furthermore, we find that the resulting potential satisfies the requirements normally imposed in IHQCD, and that the holographic Wilson loop for the derived model exhibits quark confinement.

[ { "created": "Wed, 18 Aug 2021 11:27:20 GMT", "version": "v1" }, { "created": "Tue, 31 Aug 2021 04:36:05 GMT", "version": "v2" } ]

2022-05-25

[ [ "Hashimoto", "Koji", "" ], [ "Ohashi", "Keisuke", "" ], [ "Sumimoto", "Takayuki", "" ] ]

We derive an explicit form of the dilaton potential in improved holographic QCD (IHQCD) from the experimental data of the $\rho$ meson spectrum. For this purpose we make use of the emergent bulk geometry obtained by deep learning from the hadronic data in arXiv:2005.02636. Requiring that the geometry is a solution of an IHQCD derives the corresponding dilaton potential backwards. This determines the bulk action in a data-driven way, which enables us at the same time to ensure that the deep learning proposal is a consistent gravity. Furthermore, we find that the resulting potential satisfies the requirements normally imposed in IHQCD, and that the holographic Wilson loop for the derived model exhibits quark confinement.

13.587337

12.447796

14.612676

12.205092

13.638019

12.512885

12.917655

12.686647

12.008861

15.56682

12.376391

13.258093

13.100032

13.113482

12.986224

13.129753

13.285811

13.013297

12.933855

13.100951

12.827024

1912.01022

{\DJ}or{\dj}e Radi\v{c}evi\'c

Djordje Radicevic

Abelian Bosonization, OPEs, and the "String Scale" of Fermion Fields

39 pages, 2 figures

null

BRX-TH-6660

hep-th cond-mat.str-el hep-lat

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

This paper establishes a precise mapping between lattice and continuum operators in theories of (1 + 1)D fermions. To reach the continuum regime of a lattice theory, renormalization group techniques are here supplemented by a new kind of decimation called smoothing out. Smoothing out amounts to imposing constraints that make fermion fields vary slowly in position space; in momentum space, this corresponds to introducing boundary conditions below a certain depth of the Dirac sea. This procedure necessitates the introduction of a second small parameter to describe the continuum limit. This length scale, much larger than the lattice spacing but much smaller than the macroscopic system size, controls the derivative expansions of fields, and hence plays the role of the "string scale" in quantum field theory. Smoothing out a theory of Dirac fermions on the lattice provides a transparent, fully lattice-based derivation of the operator product expansion, current algebra, and Abelian bosonization rules in the continuum. Nontrivial high-momentum effects are demonstrated in all these derivations. In particular, the radius of the compact scalar dual to the Dirac fermion is found to vary with momentum, smoothly shrinking to zero at a cutoff set by the "string scale."

[ { "created": "Mon, 2 Dec 2019 19:00:05 GMT", "version": "v1" } ]

2019-12-04

[ [ "Radicevic", "Djordje", "" ] ]

This paper establishes a precise mapping between lattice and continuum operators in theories of (1 + 1)D fermions. To reach the continuum regime of a lattice theory, renormalization group techniques are here supplemented by a new kind of decimation called smoothing out. Smoothing out amounts to imposing constraints that make fermion fields vary slowly in position space; in momentum space, this corresponds to introducing boundary conditions below a certain depth of the Dirac sea. This procedure necessitates the introduction of a second small parameter to describe the continuum limit. This length scale, much larger than the lattice spacing but much smaller than the macroscopic system size, controls the derivative expansions of fields, and hence plays the role of the "string scale" in quantum field theory. Smoothing out a theory of Dirac fermions on the lattice provides a transparent, fully lattice-based derivation of the operator product expansion, current algebra, and Abelian bosonization rules in the continuum. Nontrivial high-momentum effects are demonstrated in all these derivations. In particular, the radius of the compact scalar dual to the Dirac fermion is found to vary with momentum, smoothly shrinking to zero at a cutoff set by the "string scale."

12.251725

13.585443

14.052878

12.220803

13.191107

13.042428

13.249545

12.190255

12.387521

15.176834

12.060241

11.675552

12.253825

11.525347

11.752879

11.689903

11.606309

11.354629

11.592675

12.276942

11.980458

0905.1548

Seyed Sina Shahidzadeh Mousavi

Seyed Sina ShahidZadeh Mousavi

Generalization of Some Algebras in the Bosonic String Theory

5 pages

null

hep-th

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

We assume that the total target phase space is non-commutative. This leads to the generalization of the oscillator-algebra of the string, and the corresponding Virasoso algebra. The effects of this non-commutativity on some string states will be studied.

[ { "created": "Mon, 11 May 2009 06:06:09 GMT", "version": "v1" } ]

2009-05-12

[ [ "Mousavi", "Seyed Sina ShahidZadeh", "" ] ]

We assume that the total target phase space is non-commutative. This leads to the generalization of the oscillator-algebra of the string, and the corresponding Virasoso algebra. The effects of this non-commutativity on some string states will be studied.

18.41573

13.877769

19.712965

12.942129

13.3751

13.902603

13.113729

12.324593

13.594346

18.941263

13.488813

14.772747

15.795157

14.014094

14.326816

14.533197

14.355923

14.455671

14.404769

15.906585

13.639144

1804.08914

Aleksandrs Aleksejevs

A. Aleksejevs

Dispersion Approach in Two-Loop Calculations

fixed typos in Eq.(35) and Eq.(41)

Phys. Rev. D 98, 036021 (2018)

10.1103/PhysRevD.98.036021

null

hep-th

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

The higher-order corrections become increasingly important with experiments reaching sub-percent level of uncertainty as they look for physics beyond the Standard Model. Our goal is to address the full set of two-loop electroweak corrections to M{\o}ller or electron-proton scattering. It is a demanding task which requires an application of various approaches where two-loop calculations can be automatized. We choose to employ dispersive sub-loop insertion approach and develop two-loop integrals using two-point functions basis. In that basis, we introduce a partial tensor reduction for many-point Passarino-Veltman functions, which later could be used in computer algebra packages. In this paper, we have considered self-energy, triangle and box sub-loop insertions into self-energy, vertex and box topology.

[ { "created": "Tue, 24 Apr 2018 09:16:24 GMT", "version": "v1" }, { "created": "Fri, 27 Apr 2018 09:11:13 GMT", "version": "v2" }, { "created": "Sat, 9 Jun 2018 12:29:29 GMT", "version": "v3" }, { "created": "Tue, 24 Jul 2018 18:26:22 GMT", "version": "v4" }, { "created": "Tue, 14 Aug 2018 17:59:54 GMT", "version": "v5" }, { "created": "Thu, 8 Nov 2018 20:27:14 GMT", "version": "v6" } ]

2018-11-12

[ [ "Aleksejevs", "A.", "" ] ]

The higher-order corrections become increasingly important with experiments reaching sub-percent level of uncertainty as they look for physics beyond the Standard Model. Our goal is to address the full set of two-loop electroweak corrections to M{\o}ller or electron-proton scattering. It is a demanding task which requires an application of various approaches where two-loop calculations can be automatized. We choose to employ dispersive sub-loop insertion approach and develop two-loop integrals using two-point functions basis. In that basis, we introduce a partial tensor reduction for many-point Passarino-Veltman functions, which later could be used in computer algebra packages. In this paper, we have considered self-energy, triangle and box sub-loop insertions into self-energy, vertex and box topology.

17.532234

22.886501

18.226814

15.596901

17.907179

22.325884

18.125988

20.075182

15.872865

17.819525

19.299858

17.81403

16.830462

16.124582

16.024532

17.192289

17.469116

18.385197

16.610495

16.909948

16.788309

2010.04160

James Edwards Prof

Jos\'e Nicasio and James P. Edwards and Christian Schubert and Naser Ahmadiniaz

Non-perturbative gauge transformations of arbitrary fermion correlation functions in quantum electrodynamics

4 pages plus a supplementary appendix. Slight strengthening of final results

null

hep-th

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

We study the transformation of the dressed electron propagator and the general $N$-point functions under a change in the covariant gauge of internal photon propagators. We re-establish the well known Landau-Khalatnikov-Fradkin transformation for the propagator and generalise it to arbitrary correlation functions in configuration space, finding that it coincides with the analogous result for scalar fields. We comment on the consequences for perturbative application in momentum-space.

[ { "created": "Thu, 8 Oct 2020 17:59:45 GMT", "version": "v1" }, { "created": "Fri, 18 Dec 2020 22:29:16 GMT", "version": "v2" } ]

2020-12-22

[ [ "Nicasio", "José", "" ], [ "Edwards", "James P.", "" ], [ "Schubert", "Christian", "" ], [ "Ahmadiniaz", "Naser", "" ] ]

We study the transformation of the dressed electron propagator and the general $N$-point functions under a change in the covariant gauge of internal photon propagators. We re-establish the well known Landau-Khalatnikov-Fradkin transformation for the propagator and generalise it to arbitrary correlation functions in configuration space, finding that it coincides with the analogous result for scalar fields. We comment on the consequences for perturbative application in momentum-space.

11.110477

10.236312

9.854898

8.952569

10.250259

10.719348

10.339237

10.61131

9.66625

10.362739

9.849855

10.186176

10.171473

10.315928

10.197841

10.05689

10.013079

10.248201

10.20584

9.862144

10.22901

1511.05112

Nicholas Plantz

N.W.M. Plantz, H.T.C. Stoof and S. Vandoren

Order parameter fluctuations in the holographic superconductor

21 pages, 15 figures; version accepted for publication

null

10.1088/1361-6455/aa584c

null

hep-th cond-mat.supr-con

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

We investigate the effect of order parameter fluctuations in the holographic superconductor. In particular, using a fully backreacted bulk geometry, the intrinsic spectral functions of the order parameter in both the normal and the superconducting phase are computed. We also present a vector-like large-$N$ version of the Ginzburg-Landau model that accurately describes our long-wavelength results in both phases. The large-$N$ limit of the latter model explains why the Higgs mode and the second-sound mode are not present in the spectral functions. Our results indicate that the holographic superconductor describes a relativistic multi-component superfluid in the universal regime of the BEC-BCS crossover.

[ { "created": "Mon, 16 Nov 2015 20:12:02 GMT", "version": "v1" }, { "created": "Tue, 24 Nov 2015 20:53:55 GMT", "version": "v2" }, { "created": "Wed, 3 Feb 2016 10:21:27 GMT", "version": "v3" }, { "created": "Mon, 16 Jan 2017 14:13:54 GMT", "version": "v4" } ]

2017-01-17

[ [ "Plantz", "N. W. M.", "" ], [ "Stoof", "H. T. C.", "" ], [ "Vandoren", "S.", "" ] ]

We investigate the effect of order parameter fluctuations in the holographic superconductor. In particular, using a fully backreacted bulk geometry, the intrinsic spectral functions of the order parameter in both the normal and the superconducting phase are computed. We also present a vector-like large-$N$ version of the Ginzburg-Landau model that accurately describes our long-wavelength results in both phases. The large-$N$ limit of the latter model explains why the Higgs mode and the second-sound mode are not present in the spectral functions. Our results indicate that the holographic superconductor describes a relativistic multi-component superfluid in the universal regime of the BEC-BCS crossover.

8.351535

7.956283

8.921583

7.784564

7.728701

8.211509

7.959689

7.515201

7.633353

8.407825

8.057303

7.795082

8.18105

7.905776

7.953918

7.785114

7.78485

7.939495

8.061573

8.39327

7.825897

1009.0651

Harvendra Singh

Special limits and non-relativistic solutions

10 pages; V2: various changes in interpretations including title; no change in mathematical results, V3: minor font typo in eq.(7) removed

JHEP 1012:061,2010

10.1007/JHEP12(2010)061

null

hep-th

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

We study special vanishing horizon limit of `boosted' black D3-branes having a compact light-cone direction. The type IIB solution obtained by taking such a zero temperature limit is found to describe a nonrelativistic system with dynamical exponent 3. We discuss about such limits in M2-branes case also.

[ { "created": "Fri, 3 Sep 2010 13:03:36 GMT", "version": "v1" }, { "created": "Mon, 29 Nov 2010 06:40:06 GMT", "version": "v2" }, { "created": "Tue, 7 Dec 2010 06:00:00 GMT", "version": "v3" } ]

2011-02-18

[ [ "Singh", "Harvendra", "" ] ]

We study special vanishing horizon limit of `boosted' black D3-branes having a compact light-cone direction. The type IIB solution obtained by taking such a zero temperature limit is found to describe a nonrelativistic system with dynamical exponent 3. We discuss about such limits in M2-branes case also.

26.111094

19.009987

24.979071

15.881825

17.045872

17.43498

15.372266

15.555126

18.948053

29.662638

16.408236

19.932732

25.453197

19.590887

20.020252

19.624954

18.769096

18.718765

20.32836

23.863712

19.031708

1412.8623

Osman Teoman Turgut

Cem Er\"oncel and O. Teoman Turgut

Exact Renormalization Group for Point Interactions

20 pages, no figures

Acta Polytechnica, Vol. 54, No:2/2014

null

hep-th

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

Renormalization is one of the deepest ideas in physics, yet its exact implementation in any interesting problem is usually very hard. In the present work, following the approach by Glazek and Maslowski in the flat space, we will study the exact renormalization of the same problem in a nontrivial geometric setting, namely in the two dimensional hyperbolic space. Delta function potential is an asymptotically free quantum mechanical problem which makes it resemble non-abelian gauge theories, yet it can be treated exactly in this nontrivial geometry.

[ { "created": "Tue, 30 Dec 2014 13:04:16 GMT", "version": "v1" } ]

2014-12-31

[ [ "Eröncel", "Cem", "" ], [ "Turgut", "O. Teoman", "" ] ]

Renormalization is one of the deepest ideas in physics, yet its exact implementation in any interesting problem is usually very hard. In the present work, following the approach by Glazek and Maslowski in the flat space, we will study the exact renormalization of the same problem in a nontrivial geometric setting, namely in the two dimensional hyperbolic space. Delta function potential is an asymptotically free quantum mechanical problem which makes it resemble non-abelian gauge theories, yet it can be treated exactly in this nontrivial geometry.

11.154073

11.785789

13.261968

11.227523

13.121589

12.632255

11.770891

11.081249

11.750402

12.524991

11.326153

10.432624

11.291959

10.881895

10.758299

10.53888

11.185492

10.504486

10.908966

11.285467

10.265488

1103.1223

Shoichi Kawamoto

Shoichi Kawamoto, Tomohisa Takimi and Dan Tomino

Branes from a non-Abelian (2,0) tensor multiplet with 3-algebra

44+1 pages, reference added, typos corrected, and several discussions added; v3, reference added, many typos corrected, the language improved; v4, some typos and references corrected, final version to appear in J. Phys. A

J. Phys. A: Math. Theor. 44 (2011) 325402

10.1088/1751-8113/44/32/325402

null

hep-th

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

In this paper, we study the equations of motion for non-Abelian N=(2,0) tensor multiplets in six dimensions, which were recently proposed by Lambert and Papageorgakis. Some equations are regarded as constraint equations. We employ a loop extension of the Lorentzian three-algebra (3-algebra) and examine the equations of motion around various solutions of the constraint equations. The resultant equations take forms that allow Lagrangian descriptions. We find various (5+d)-dimensional Lagrangians and investigate the relation between them from the viewpoint of M-theory duality.

[ { "created": "Mon, 7 Mar 2011 10:00:11 GMT", "version": "v1" }, { "created": "Wed, 30 Mar 2011 06:46:28 GMT", "version": "v2" }, { "created": "Wed, 29 Jun 2011 02:53:43 GMT", "version": "v3" }, { "created": "Mon, 25 Jul 2011 05:50:44 GMT", "version": "v4" } ]

2015-05-27

[ [ "Kawamoto", "Shoichi", "" ], [ "Takimi", "Tomohisa", "" ], [ "Tomino", "Dan", "" ] ]

In this paper, we study the equations of motion for non-Abelian N=(2,0) tensor multiplets in six dimensions, which were recently proposed by Lambert and Papageorgakis. Some equations are regarded as constraint equations. We employ a loop extension of the Lorentzian three-algebra (3-algebra) and examine the equations of motion around various solutions of the constraint equations. The resultant equations take forms that allow Lagrangian descriptions. We find various (5+d)-dimensional Lagrangians and investigate the relation between them from the viewpoint of M-theory duality.

10.053584

9.372421

12.30459

9.501157

9.861077

9.369298

9.169155

9.572227

9.168567

13.669348

9.063298

9.213375

10.658938

9.494592

9.516592

9.639568

9.093693

9.16521

9.165086

10.23436

9.410289

1807.04296

Vasilis Niarchos

Geometry of Higgs-branch superconformal primary bundles

36 pages

Phys. Rev. D 98, 065012 (2018)

10.1103/PhysRevD.98.065012

DCPT-18/23

hep-th

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

It is known that the two- and three-point functions of Higgs-branch superconformal primaries in 4d N=2 superconformal field theories obey non-renormalization theorems on N=2 superconformal manifolds. In this paper we prove a stronger statement, that the bundles of Higgs-branch superconformal primaries over N=2 superconformal manifolds are endowed with a flat connection, or equivalently that Higgs-branch superconformal primaries have vanishing Berry phases under N=2 exactly marginal deformations. This statement fits well with the proposed correspondence between the rigid structures of 2d chiral algebras and the sector of Schur operators in 4d N=2 theories. We also discuss the general interplay between non-renormalization theorems and the curvature of bundles of protected operators and provide a new simpler proof of the vanishing curvature of 1/2-BPS operators in 4d N=4 SYM theory that does not require the use of the 4d tt* equations.

[ { "created": "Wed, 11 Jul 2018 18:00:10 GMT", "version": "v1" } ]

2018-10-03

[ [ "Niarchos", "Vasilis", "" ] ]

It is known that the two- and three-point functions of Higgs-branch superconformal primaries in 4d N=2 superconformal field theories obey non-renormalization theorems on N=2 superconformal manifolds. In this paper we prove a stronger statement, that the bundles of Higgs-branch superconformal primaries over N=2 superconformal manifolds are endowed with a flat connection, or equivalently that Higgs-branch superconformal primaries have vanishing Berry phases under N=2 exactly marginal deformations. This statement fits well with the proposed correspondence between the rigid structures of 2d chiral algebras and the sector of Schur operators in 4d N=2 theories. We also discuss the general interplay between non-renormalization theorems and the curvature of bundles of protected operators and provide a new simpler proof of the vanishing curvature of 1/2-BPS operators in 4d N=4 SYM theory that does not require the use of the 4d tt* equations.

5.472733

5.160749

6.6661

4.958508

5.484849

5.021003

5.469558

5.285739

5.16948

6.2802

5.032316

5.191308

5.592173

5.182406

5.046996

5.092577

5.013262

5.069799

5.177773

5.5901

5.080323

hep-th/9401082

Ty

A. Candiello

WBase: a C package to reduce tensor products of Lie algebra representations

18 pages

Comput.Phys.Commun. 81 (1994) 248-260

10.1016/0010-4655(94)90123-6

DFPD/93/TH/76

hep-th math.RT

null

It is nearly twenty years that there exist computer programs to reduce products of Lie algebra irreps. This is a contribution in the field that uses a modern computer language (``C'') in a highly structured and object-oriented way. This gives the benefits of high portability, efficiency, and makes it easier to include the functions in user programs. Characteristic of this set of routines is the {\it all-dynamic} approach for the use of memory, so that the package only uses the memory resources as needed.

[ { "created": "Tue, 18 Jan 1994 09:59:05 GMT", "version": "v1" } ]

2009-10-28

[ [ "Candiello", "A.", "" ] ]

It is nearly twenty years that there exist computer programs to reduce products of Lie algebra irreps. This is a contribution in the field that uses a modern computer language (``C'') in a highly structured and object-oriented way. This gives the benefits of high portability, efficiency, and makes it easier to include the functions in user programs. Characteristic of this set of routines is the {\it all-dynamic} approach for the use of memory, so that the package only uses the memory resources as needed.

22.843485

22.51075

23.364798

21.481951

23.674091

24.094963

23.995676

22.378242

20.498074

28.925911

22.531551

21.949039

21.798845

20.631884

21.119347

21.995363

22.284935

21.911388

21.2402

21.282637

21.6775

2403.02864

Robert Mann

Robert B. Mann

Recent Developments in Holographic Black Hole Chemistry

invited review for Journal of Holography Applications in Physics

JHAP 4 (2024) 1-26

10.22128/JHAP.2023.757.1067

null

hep-th gr-qc

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

One of the major developments in classical black hole thermodynamics is the inclusion of vacuum energy in the form of thermodynamic pressure. Known as Black Hole Chemistry, this subdiscipline has led to the realization that anti de Sitter black holes exhibit a broad variety of phase transitions that are essentially the same as those observed in chemical systems. Since the pressure is given in terms of a negative cosmological constant (which parametrizes the vacuum energy), the holographic interpretation of Black Hole Chemistry has remained unclear. In the last few years there has been considerable progress in developing an exact dictionary between the bulk laws of Black Hole Chemistry and the laws of the dual Conformal Field Theory (CFT). Holographic Black Hole Chemistry is now becoming an established subfield, with a full thermodynamic bulk/boundary correspondence, and an emergent understanding of CFT phase behaviour and its correspondence in the bulk. Here I review these developments, highlighting key advances and briefly discussing future prospects for further research.

[ { "created": "Tue, 5 Mar 2024 11:14:06 GMT", "version": "v1" } ]

2024-03-06

[ [ "Mann", "Robert B.", "" ] ]

One of the major developments in classical black hole thermodynamics is the inclusion of vacuum energy in the form of thermodynamic pressure. Known as Black Hole Chemistry, this subdiscipline has led to the realization that anti de Sitter black holes exhibit a broad variety of phase transitions that are essentially the same as those observed in chemical systems. Since the pressure is given in terms of a negative cosmological constant (which parametrizes the vacuum energy), the holographic interpretation of Black Hole Chemistry has remained unclear. In the last few years there has been considerable progress in developing an exact dictionary between the bulk laws of Black Hole Chemistry and the laws of the dual Conformal Field Theory (CFT). Holographic Black Hole Chemistry is now becoming an established subfield, with a full thermodynamic bulk/boundary correspondence, and an emergent understanding of CFT phase behaviour and its correspondence in the bulk. Here I review these developments, highlighting key advances and briefly discussing future prospects for further research.

9.352955

9.318017

9.355668

8.85796

10.014065

9.872774

9.547482

9.031887

9.019673

9.868156

9.483706

8.933522

8.514328

8.547069

8.727984

8.622011

9.30276

8.591289

8.472327

8.874933

8.645183

1002.2606

Athanasios Chatzistavrakidis

Athanasios Chatzistavrakidis, Harold Steinacker, George Zoupanos

Orbifolds, fuzzy spheres and chiral fermions

24 pages, minor changes, references added, matching with the published version

JHEP 1005:100,2010

10.1007/JHEP05(2010)100

null

hep-th hep-ph

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

Starting with a N=4 supersymmetric Yang-Mills theory in four dimensions with gauge group SU(3N) we perform an orbifold projection leading to a N=1 supersymmetric SU(N)^3 Yang-Mills theory with matter supermultiplets in bifundamental representations of the gauge group, which is chiral and anomaly free. Subsequently, we search for vacua of the projected theory which can be interpreted as spontaneously generated twisted fuzzy spheres. We show that by adding the appropriate soft supersymmetry breaking terms we can indeed reveal such vacua. Three cases are studied, where the gauge group is spontaneously broken further to the low-energy gauge groups SU(4)xSU(2)xSU(2), SU(4)^3 and SU(3)^3. Such models behave in intermediate scales as higher-dimensional theories with a finite Kaluza-Klein tower, while their low-energy physics is governed by the corresponding zero-modes and exhibit chirality in the fermionic sector. The most interesting case from the phenomenological point of view turns out to be the SU(3)^3 unified theory, which has several interesting features such as (i) it can be promoted to a finite theory, (ii) it breaks further spontaneously first to the MSSM and then to SU(3)xU(1)_{em} due to its own scalar sector, i.e. without the need of additional superfields and (iii) the corresponding vacua lead to spontaneously generated fuzzy spheres.

[ { "created": "Fri, 12 Feb 2010 17:32:58 GMT", "version": "v1" }, { "created": "Thu, 3 Jun 2010 08:26:46 GMT", "version": "v2" }, { "created": "Tue, 24 Aug 2010 15:21:28 GMT", "version": "v3" } ]

2010-08-25

[ [ "Chatzistavrakidis", "Athanasios", "" ], [ "Steinacker", "Harold", "" ], [ "Zoupanos", "George", "" ] ]

Starting with a N=4 supersymmetric Yang-Mills theory in four dimensions with gauge group SU(3N) we perform an orbifold projection leading to a N=1 supersymmetric SU(N)^3 Yang-Mills theory with matter supermultiplets in bifundamental representations of the gauge group, which is chiral and anomaly free. Subsequently, we search for vacua of the projected theory which can be interpreted as spontaneously generated twisted fuzzy spheres. We show that by adding the appropriate soft supersymmetry breaking terms we can indeed reveal such vacua. Three cases are studied, where the gauge group is spontaneously broken further to the low-energy gauge groups SU(4)xSU(2)xSU(2), SU(4)^3 and SU(3)^3. Such models behave in intermediate scales as higher-dimensional theories with a finite Kaluza-Klein tower, while their low-energy physics is governed by the corresponding zero-modes and exhibit chirality in the fermionic sector. The most interesting case from the phenomenological point of view turns out to be the SU(3)^3 unified theory, which has several interesting features such as (i) it can be promoted to a finite theory, (ii) it breaks further spontaneously first to the MSSM and then to SU(3)xU(1)_{em} due to its own scalar sector, i.e. without the need of additional superfields and (iii) the corresponding vacua lead to spontaneously generated fuzzy spheres.

7.933964

8.63883

7.678151

7.740902

8.233055

8.804754

8.346586

8.247144

7.92917

8.916442

7.953666

7.858998

7.602748

7.634977

7.745179

7.799423

7.770257

7.656463

7.599655

7.663684

7.753994

1101.3816

Zhen-Xing Liu

Zhenxing Liu and Zeqian Chen

Quasilocal non-equilibrium dynamics of {\Phi}-spinning black rings

7 pages

Int.J.Mod.Phys.A26:2271-2277,2011

10.1142/S0217751X11053006

null

hep-th

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

In this work, we study the non-equilibrium dynamics of {\Phi}-spinning black rings within the quasilocal formalism. We adopt the counterterm method and compute the renormalized boundary stress-energy tensor. By considering the conservation of this tensor, the condition for removing the conical singularity at spatial infinity is derived. It is subsequently shown that a {\Phi}-spinning black ring cannot be kept in a state of equilibrium, which is consistent with the physical interpretation that the angular momentum is on the plane orthogonal to the ring and there is no force to balance the tension and gravitational self-attraction. The results of these computations lay a foundation for studying the thermodynamics of {\Phi}-spinning rings in detail. Finally, we charge up the rings in Einstein-Maxwell-dilaton system and suggest feasible ways to make them balanced.

[ { "created": "Thu, 20 Jan 2011 03:12:43 GMT", "version": "v1" } ]

2011-05-25

[ [ "Liu", "Zhenxing", "" ], [ "Chen", "Zeqian", "" ] ]

In this work, we study the non-equilibrium dynamics of {\Phi}-spinning black rings within the quasilocal formalism. We adopt the counterterm method and compute the renormalized boundary stress-energy tensor. By considering the conservation of this tensor, the condition for removing the conical singularity at spatial infinity is derived. It is subsequently shown that a {\Phi}-spinning black ring cannot be kept in a state of equilibrium, which is consistent with the physical interpretation that the angular momentum is on the plane orthogonal to the ring and there is no force to balance the tension and gravitational self-attraction. The results of these computations lay a foundation for studying the thermodynamics of {\Phi}-spinning rings in detail. Finally, we charge up the rings in Einstein-Maxwell-dilaton system and suggest feasible ways to make them balanced.

10.872632

9.929931

11.107944

9.492152

9.713364

9.176518

9.445593

9.996668

9.875051

11.304099

9.980091

10.207921

10.05956

10.145066

9.869441

10.03858

9.637127

10.040313

9.669606

10.011518

9.723458

hep-th/9908137

Jean-Pierre Derendinger

I. Antoniadis, J.-P. Derendinger and C. Kounnas

Non-perturbative Supersymmetry Breaking and Finite Temperature Instabilities in N=4 Superstrings

21 pages. Proceedings of the Corfu Summer Institute on Elementary Particle Physics, Corfu, Greece, September 1998

null

CERN-TH/99-254, LPTENS-99/28, NEIP-99-015

hep-th

null

We obtain the non-perturbative effective potential for the dual five-dimensional N=4 strings in the context of finite-temperature regarded as a breaking of supersymmetry into four space-time dimensions. Using the properties of gauged N=4 supergravity we derive the universal thermal effective potential describing all possible high-temperature instabilities of the known N=4 superstrings. These strings undergo a high-temperature transition to a new phase in which five-branes condense. This phase is described in detail, using both the effective supergravity and non-critical string theory in six dimensions. In the new phase, supersymmetry is perturbatively restored but broken at the non-perturbative level.

[ { "created": "Fri, 20 Aug 1999 10:10:29 GMT", "version": "v1" } ]

2007-05-23

[ [ "Antoniadis", "I.", "" ], [ "Derendinger", "J. -P.", "" ], [ "Kounnas", "C.", "" ] ]

We obtain the non-perturbative effective potential for the dual five-dimensional N=4 strings in the context of finite-temperature regarded as a breaking of supersymmetry into four space-time dimensions. Using the properties of gauged N=4 supergravity we derive the universal thermal effective potential describing all possible high-temperature instabilities of the known N=4 superstrings. These strings undergo a high-temperature transition to a new phase in which five-branes condense. This phase is described in detail, using both the effective supergravity and non-critical string theory in six dimensions. In the new phase, supersymmetry is perturbatively restored but broken at the non-perturbative level.

11.033529

8.770904

11.065645

9.521894

10.399086

8.210698

9.169684

8.999267

9.150583

11.647036

9.082685

10.001284

11.207253

10.19312

10.150925

10.043648

10.147684

10.026869

10.133946

11.593029

9.545296

2308.01281

Claudio Dappiaggi

Lissa de Souza Campos, Claudio Dappiaggi and Luca Sinibaldi

Boundary conditions and infrared divergences

11 pages, 2 figures

null

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

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

We review the procedure to construct quasi-free ground states, for real scalar fields whose dynamics is dictated by the Klein-Gordon equation, on standard static Lorentzian manifolds with a time-like boundary. We observe that, depending on the assigned boundary condition of Robin type, this procedure does not always lead to the existence of a suitable bi-distribution $w_2\in \mathcal{D}'(M\times M)$ due to the presence of infrared divergences. As a concrete example we consider a Bertotti-Robinson spacetime in two different coordinate patches. In one case we show that infrared divergences do not occur only for Dirichlet boundary conditions as one might expect a priori, while, in the other case, we prove that they occur only when Neumann boundary conditions are imposed at the time-like boundary.

[ { "created": "Wed, 2 Aug 2023 17:07:30 GMT", "version": "v1" } ]

2023-08-03

[ [ "Campos", "Lissa de Souza", "" ], [ "Dappiaggi", "Claudio", "" ], [ "Sinibaldi", "Luca", "" ] ]

We review the procedure to construct quasi-free ground states, for real scalar fields whose dynamics is dictated by the Klein-Gordon equation, on standard static Lorentzian manifolds with a time-like boundary. We observe that, depending on the assigned boundary condition of Robin type, this procedure does not always lead to the existence of a suitable bi-distribution $w_2\in \mathcal{D}'(M\times M)$ due to the presence of infrared divergences. As a concrete example we consider a Bertotti-Robinson spacetime in two different coordinate patches. In one case we show that infrared divergences do not occur only for Dirichlet boundary conditions as one might expect a priori, while, in the other case, we prove that they occur only when Neumann boundary conditions are imposed at the time-like boundary.

7.712964

7.450886

7.257987

6.849832

7.752828

7.433079

7.969893

7.140794

7.443642

7.97107

6.888951

7.163778

7.068744

6.845746

7.087033

7.003053

7.270747

6.85575

7.260591

7.300456

7.057839

hep-th/0512083

Antonio Padilla

A covariant approach to braneworld holography

Version to appear in CQG. Major additions, including details of how to explictly calculate the holographic energy momentum tensor, and a lengthy dicussion of holography in Lovelock gravity. Comparisons with other work are also added, along with a number of references

Class.Quant.Grav.23:3983-3992,2006

10.1088/0264-9381/23/11/019

null

hep-th

null

Exact holography for cosmological branes in an AdS-Schwarzschild bulk was first introduced in hep-th/0204218. We extend this notion to include all co-dimension one branes moving in non-trivial bulk spacetimes. We use a covariant approach, and show that the bulk Weyl tensor projected on to the brane can always be traded in for "holographic" energy-momentum on the brane. More precisely, a brane moving in a non-maximally symmetric bulk has exactly the same geometry as a brane moving in a maximally symmetric bulk, so long as we include the holographic fields on the brane. This correspondence is exact in that it works to all order in the brane energy-momentum tensor.

[ { "created": "Wed, 7 Dec 2005 19:47:22 GMT", "version": "v1" }, { "created": "Fri, 28 Apr 2006 08:47:52 GMT", "version": "v2" } ]

2009-11-11

[ [ "Padilla", "Antonio", "" ] ]

Exact holography for cosmological branes in an AdS-Schwarzschild bulk was first introduced in hep-th/0204218. We extend this notion to include all co-dimension one branes moving in non-trivial bulk spacetimes. We use a covariant approach, and show that the bulk Weyl tensor projected on to the brane can always be traded in for "holographic" energy-momentum on the brane. More precisely, a brane moving in a non-maximally symmetric bulk has exactly the same geometry as a brane moving in a maximally symmetric bulk, so long as we include the holographic fields on the brane. This correspondence is exact in that it works to all order in the brane energy-momentum tensor.

7.151352

7.187278

7.05728

6.75287

7.138924

7.569583

7.309782

7.726939

6.941201

7.736353

6.76721

6.961565

6.869866

6.837264

7.046588

6.796051

7.135866

6.983049

6.772505

6.838915

6.817863

hep-th/0506238

Axel Kleinschmidt

Axel Kleinschmidt and Hermann Nicolai

Gradient Representations and Affine Structures in AE(n)

43 pages

Class.Quant.Grav. 22 (2005) 4457-4488

10.1088/0264-9381/22/21/004

AEI-2005-107

hep-th gr-qc

null

We study the indefinite Kac-Moody algebras AE(n), arising in the reduction of Einstein's theory from (n+1) space-time dimensions to one (time) dimension, and their distinguished maximal regular subalgebras sl(n) and affine A_{n-2}^{(1)}. The interplay between these two subalgebras is used, for n=3, to determine the commutation relations of the `gradient generators' within AE(3). The low level truncation of the geodesic sigma-model over the coset space AE(n)/K(AE(n)) is shown to map to a suitably truncated version of the SL(n)/SO(n) non-linear sigma-model resulting from the reduction Einstein's equations in (n+1) dimensions to (1+1) dimensions. A further truncation to diagonal solutions can be exploited to define a one-to-one correspondence between such solutions, and null geodesic trajectories on the infinite-dimensional coset space H/K(H), where H is the (extended) Heisenberg group, and K(H) its maximal compact subgroup. We clarify the relation between H and the corresponding subgroup of the Geroch group.

[ { "created": "Tue, 28 Jun 2005 09:56:26 GMT", "version": "v1" }, { "created": "Thu, 13 Oct 2005 09:59:16 GMT", "version": "v2" } ]

2009-11-11

[ [ "Kleinschmidt", "Axel", "" ], [ "Nicolai", "Hermann", "" ] ]

We study the indefinite Kac-Moody algebras AE(n), arising in the reduction of Einstein's theory from (n+1) space-time dimensions to one (time) dimension, and their distinguished maximal regular subalgebras sl(n) and affine A_{n-2}^{(1)}. The interplay between these two subalgebras is used, for n=3, to determine the commutation relations of the `gradient generators' within AE(3). The low level truncation of the geodesic sigma-model over the coset space AE(n)/K(AE(n)) is shown to map to a suitably truncated version of the SL(n)/SO(n) non-linear sigma-model resulting from the reduction Einstein's equations in (n+1) dimensions to (1+1) dimensions. A further truncation to diagonal solutions can be exploited to define a one-to-one correspondence between such solutions, and null geodesic trajectories on the infinite-dimensional coset space H/K(H), where H is the (extended) Heisenberg group, and K(H) its maximal compact subgroup. We clarify the relation between H and the corresponding subgroup of the Geroch group.

8.643047

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