LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/0406152

Michael Faux

Michael Faux, David Kagan and Donald Spector

Central Charges and Extra Dimensions in Supersymmetric Quantum Mechanics

30 pages, LaTeX, references and commentary added

null

hep-th

null

We systematically include central charges into supersymmetric quantum mechanics formulated on curved Euclidean spaces, and explain how the background geometry manifests itself on states of the theory. In particular, we show in detail how, from the point of view of non-relativistic d=1 world-line physics, one can infer the existence of target space dualities typically associated with string theory. We also explain in detail how the presence of a non-trivial supersymmetry central charge restricts the background geometry in which a particle may propagate.

[ { "created": "Fri, 18 Jun 2004 17:27:28 GMT", "version": "v1" }, { "created": "Sun, 25 Jul 2004 07:42:33 GMT", "version": "v2" } ]

2007-05-23

[ [ "Faux", "Michael", "" ], [ "Kagan", "David", "" ], [ "Spector", "Donald", "" ] ]

We systematically include central charges into supersymmetric quantum mechanics formulated on curved Euclidean spaces, and explain how the background geometry manifests itself on states of the theory. In particular, we show in detail how, from the point of view of non-relativistic d=1 world-line physics, one can infer the existence of target space dualities typically associated with string theory. We also explain in detail how the presence of a non-trivial supersymmetry central charge restricts the background geometry in which a particle may propagate.

13.231718

12.652502

12.364343

12.004213

12.608599

11.776036

12.193083

11.189817

11.727998

15.422408

11.657892

11.966217

12.040972

11.654538

12.212587

11.719635

11.425635

11.662949

11.799633

12.252187

11.592794

1006.1214

Wei He

Wei He, Yan-Gang Miao

Magnetic expansion of Nekrasov theory: the SU(2) pure gauge theory

17 pages, submitted to PRD; v2, typos corrected, references added; v3, published version

Phys.Rev.D82:025020,2010

10.1103/PhysRevD.82.025020

null

hep-th

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

It is recently claimed by Nekrasov and Shatashvili that the $\mathcal {N}=2$ gauge theories in the $\Omega$ background with $\epsilon_1=\hbar, \epsilon_2=0$ are related to the quantization of certain algebraic integrable systems. We study the special case of SU(2) pure gauge theory, the corresponding integrable model is the A$_1$ Toda model, which reduces to the sine-Gordon quantum mechanics problem. The quantum effects can be expressed as the WKB series written analytically in terms of hypergeometric functions. We obtain the magnetic and dyonic expansions of the Nekrasov theory by studying the property of hypergeometric functions in the magnetic and dyonic regions on the moduli space. We also discuss the relation between the electric-magnetic duality of gauge theory and the action-action duality of the integrable system.

[ { "created": "Mon, 7 Jun 2010 09:39:32 GMT", "version": "v1" }, { "created": "Sat, 19 Jun 2010 14:07:42 GMT", "version": "v2" }, { "created": "Sat, 31 Jul 2010 08:21:27 GMT", "version": "v3" } ]

2014-11-21

[ [ "He", "Wei", "" ], [ "Miao", "Yan-Gang", "" ] ]

It is recently claimed by Nekrasov and Shatashvili that the $\mathcal {N}=2$ gauge theories in the $\Omega$ background with $\epsilon_1=\hbar, \epsilon_2=0$ are related to the quantization of certain algebraic integrable systems. We study the special case of SU(2) pure gauge theory, the corresponding integrable model is the A$_1$ Toda model, which reduces to the sine-Gordon quantum mechanics problem. The quantum effects can be expressed as the WKB series written analytically in terms of hypergeometric functions. We obtain the magnetic and dyonic expansions of the Nekrasov theory by studying the property of hypergeometric functions in the magnetic and dyonic regions on the moduli space. We also discuss the relation between the electric-magnetic duality of gauge theory and the action-action duality of the integrable system.

6.923282

6.729746

8.083344

6.911957

7.71155

7.203135

6.930307

6.76638

6.847956

8.523461

6.928697

6.782222

6.816988

6.65575

6.635462

6.659099

6.696924

6.79776

6.680388

6.723109

6.63664

0907.2989

Lee Peng Teo

L.P. Teo

Casimir Effect in Spacetime with Extra Dimensions -- From Kaluza-Klein to Randall-Sundrum Models

9 pages, 3 figure. Final version accepted by Phys. Lett. B

Phys.Lett.B682:259-265,2009

10.1016/j.physletb.2009.11.011

null

hep-th

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

In this article, we derive the finite temperature Casimir force acting on a pair of parallel plates due to a massless scalar field propagating in the bulk of a higher dimensional brane model. In contrast to previous works which used approximations for the effective masses in deriving the Casimir force, the formulas of the Casimir force we derive are exact formulas. Our results disprove the speculations that existence of the warped extra dimension can change the sign of the Casimir force, be it at zero or any finite temperature.

[ { "created": "Fri, 17 Jul 2009 06:40:25 GMT", "version": "v1" }, { "created": "Thu, 23 Jul 2009 00:53:55 GMT", "version": "v2" }, { "created": "Thu, 5 Nov 2009 00:48:37 GMT", "version": "v3" } ]

2009-11-23

[ [ "Teo", "L. P.", "" ] ]

In this article, we derive the finite temperature Casimir force acting on a pair of parallel plates due to a massless scalar field propagating in the bulk of a higher dimensional brane model. In contrast to previous works which used approximations for the effective masses in deriving the Casimir force, the formulas of the Casimir force we derive are exact formulas. Our results disprove the speculations that existence of the warped extra dimension can change the sign of the Casimir force, be it at zero or any finite temperature.

8.909229

7.437004

8.319163

7.433366

7.882468

7.618624

7.763433

7.516391

7.652536

9.199165

7.584608

7.919321

8.096814

7.94028

7.954635

7.759875

7.726017

8.024993

7.773375

8.200109

7.91687

1501.07562

Konstantinos Koutrolikos

Fotis Farakos, Alex Kehagias, Konstantinos Koutrolikos

Linearized Non-Minimal Higher Curvature Supergravity

null

10.1016/j.nuclphysb.2015.03.010

null

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

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

In the framework of linearized non-minimal supergravity (20/20), we present the embedding of the $R + R^2$ model and we analyze its field spectrum. As usual, the auxiliary fields of the Einstein theory now become propagating, giving rise to additional degrees of freedom, which organize themselves into on-shell irreducible supermultiplets. By performing the analysis both in component and superspace formulations we identify the new supermultiplets. On top of the two massive chiral superfields reminiscent of the old-minimal supergravity embedding, the spectrum contains also a consistent physical, massive, vector supermultiplet and a tachyonic ghost, massive, vector supermultiplet.

[ { "created": "Thu, 29 Jan 2015 19:53:53 GMT", "version": "v1" } ]

2015-06-23

[ [ "Farakos", "Fotis", "" ], [ "Kehagias", "Alex", "" ], [ "Koutrolikos", "Konstantinos", "" ] ]

In the framework of linearized non-minimal supergravity (20/20), we present the embedding of the $R + R^2$ model and we analyze its field spectrum. As usual, the auxiliary fields of the Einstein theory now become propagating, giving rise to additional degrees of freedom, which organize themselves into on-shell irreducible supermultiplets. By performing the analysis both in component and superspace formulations we identify the new supermultiplets. On top of the two massive chiral superfields reminiscent of the old-minimal supergravity embedding, the spectrum contains also a consistent physical, massive, vector supermultiplet and a tachyonic ghost, massive, vector supermultiplet.

11.693184

10.960457

12.290071

11.490602

11.712763

11.056795

10.476633

10.904156

10.538338

12.89406

10.643456

10.685864

12.345415

11.418435

11.365585

10.637481

11.147524

11.301437

11.028682

12.018772

10.693913

hep-th/9508044

Bas Peeters

Dileep P. Jatkar and Bas Peeters

String Theory near a Conifold Singularity

10 pages, harvmac. Some changes to manuscript and a reference added

Phys.Lett. B362 (1995) 73-77

10.1016/0370-2693(95)01155-J

ITP-SB-95-24

hep-th

null

We demonstrate that type II string theory compactified on a singular Calabi-Yau manifold is related to $c=1$ string theory compactified at the self-dual radius. We establish this result in two ways. First we show that complex structure deformations of the conifold correspond, on the mirror manifold, to the problem of maps from two dimensional surfaces to $S^2$. Using two dimensional QCD we show that this problem is identical to $c=1$ string theory. We then give an alternative derivation of this correspondence by mapping the theory of complex structure deformations of the conifold to Chern-Simons theory on $S^3$. These results, in conjunction with similar results obtained for the compactification of the heterotic string on $K_3\times T^2$, provide strong evidence in favour of S-duality between type II strings compactified on a Calabi-Yau manifold and the heterotic string on $K_3\times T^2$.

[ { "created": "Wed, 9 Aug 1995 20:57:40 GMT", "version": "v1" }, { "created": "Fri, 11 Aug 1995 16:44:05 GMT", "version": "v2" } ]

2009-10-28

[ [ "Jatkar", "Dileep P.", "" ], [ "Peeters", "Bas", "" ] ]

We demonstrate that type II string theory compactified on a singular Calabi-Yau manifold is related to $c=1$ string theory compactified at the self-dual radius. We establish this result in two ways. First we show that complex structure deformations of the conifold correspond, on the mirror manifold, to the problem of maps from two dimensional surfaces to $S^2$. Using two dimensional QCD we show that this problem is identical to $c=1$ string theory. We then give an alternative derivation of this correspondence by mapping the theory of complex structure deformations of the conifold to Chern-Simons theory on $S^3$. These results, in conjunction with similar results obtained for the compactification of the heterotic string on $K_3\times T^2$, provide strong evidence in favour of S-duality between type II strings compactified on a Calabi-Yau manifold and the heterotic string on $K_3\times T^2$.

4.843641

4.446458

5.66341

4.671599

4.812387

4.794359

4.528577

4.629081

4.59871

5.835285

4.478611

4.657302

4.88072

4.629891

4.570785

4.588458

4.541838

4.654651

4.721535

4.878197

4.54544

1805.12413

Vuong-Viet Tran

Perturbative Correlation Functions and Scattering Amplitudes in Planar $\mathcal{N}=4$ Supersymmetric Yang-Mills

PhD thesis, Durham University, 2018, v2 minor aesthetic corrections, http://etheses.dur.ac.uk/12642

null

hep-th

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

In this thesis, we study the integrands of a special four-point correlation function formed of protected half-BPS operators and scattering amplitudes in planar supersymmetric $\mathcal{N}=4$ Yang-Mills. We use the `soft-collinear bootstrap' method to construct integrands of the aforementioned correlator and four-point scattering amplitudes to eight loops. The result is then extended to ten loops, by introducing two graphical relations, called the `triangle' and `pentagon' rules. These relations provide consistency conditions on the coefficients, and when combined with the `square' rule, prove sufficient to fix the answer to ten loops. We then proceed to study the correlator/amplitude duality by taking six and seven adjacent points of the four-point correlator to be light-like separated. A conformal basis (with rational coefficients) is used to extract amplitude integrands for both six and seven particles up to two loops - more precisely, the complete one-loop amplitude and parity-even two-loop amplitude (at two loops, we use a refined prescriptive basis). We also construct an alternative six-point one-loop basis involving integrands with conformal cross-ratio coefficients, and reverse the duality to algebraically extract integrands from an ansatz, by introducing the Gram determinant.

[ { "created": "Thu, 31 May 2018 10:37:10 GMT", "version": "v1" }, { "created": "Wed, 6 Jun 2018 00:43:10 GMT", "version": "v2" } ]

2018-06-07

[ [ "Tran", "Vuong-Viet", "" ] ]

In this thesis, we study the integrands of a special four-point correlation function formed of protected half-BPS operators and scattering amplitudes in planar supersymmetric $\mathcal{N}=4$ Yang-Mills. We use the `soft-collinear bootstrap' method to construct integrands of the aforementioned correlator and four-point scattering amplitudes to eight loops. The result is then extended to ten loops, by introducing two graphical relations, called the `triangle' and `pentagon' rules. These relations provide consistency conditions on the coefficients, and when combined with the `square' rule, prove sufficient to fix the answer to ten loops. We then proceed to study the correlator/amplitude duality by taking six and seven adjacent points of the four-point correlator to be light-like separated. A conformal basis (with rational coefficients) is used to extract amplitude integrands for both six and seven particles up to two loops - more precisely, the complete one-loop amplitude and parity-even two-loop amplitude (at two loops, we use a refined prescriptive basis). We also construct an alternative six-point one-loop basis involving integrands with conformal cross-ratio coefficients, and reverse the duality to algebraically extract integrands from an ansatz, by introducing the Gram determinant.

12.349362

11.847653

13.194686

11.217906

12.54789

11.608954

12.885633

11.726303

11.537539

13.317454

11.891296

12.263172

12.397235

11.511843

11.730042

11.838062

11.794263

11.795313

11.83809

12.097523

11.492738

1705.02322

Jia-ju Zhang

Marco Lietti, Andrea Mauri, Silvia Penati and Jia-ju Zhang

String theory duals of Wilson loops from Higgsing

52 pages, 4 figures; V2, 61 pages, 4 figures, supercharges in gravity and field theory identified, conclusion unchanged, published version

JHEP 1708 (2017) 030

10.1007/JHEP08(2017)030

null

hep-th

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

For three-dimensional ABJ(M) theories and $\mathcal N=4$ Chern-Simons-matter quiver theories, we construct two sets of 1/2 BPS Wilson loop operators by applying the Higgsing procedure along independent directions of the moduli space, and choosing different massive modes. For theories whose dual M-theory description is known, we also determine the corresponding spectrum of 1/2 BPS M2-brane solutions. We identify the supercharges in M-theory and field theory, as well as the supercharges preserved by M2-/anti-M2-branes and 1/2 BPS Wilson loops. In particular, in $\mathcal N=4$ orbifold ABJM theory we find pairs of different 1/2 BPS Wilson loops that preserve exactly the same set of supercharges. In field theory they arise by Higgsing with the choice of either particles or antiparticles, whereas in the dual description they correspond to a pair of M2-/anti-M2-branes localized at different positions in the compact space. This result enlightens the origin of classical Wilson loop degeneracy in these theories, already discussed in arXiv:1506.07614. A discussion on possible scenarios that emerge by comparison with localization results is included.

[ { "created": "Fri, 5 May 2017 17:46:30 GMT", "version": "v1" }, { "created": "Wed, 9 Aug 2017 17:54:22 GMT", "version": "v2" } ]

2017-08-10

[ [ "Lietti", "Marco", "" ], [ "Mauri", "Andrea", "" ], [ "Penati", "Silvia", "" ], [ "Zhang", "Jia-ju", "" ] ]

For three-dimensional ABJ(M) theories and $\mathcal N=4$ Chern-Simons-matter quiver theories, we construct two sets of 1/2 BPS Wilson loop operators by applying the Higgsing procedure along independent directions of the moduli space, and choosing different massive modes. For theories whose dual M-theory description is known, we also determine the corresponding spectrum of 1/2 BPS M2-brane solutions. We identify the supercharges in M-theory and field theory, as well as the supercharges preserved by M2-/anti-M2-branes and 1/2 BPS Wilson loops. In particular, in $\mathcal N=4$ orbifold ABJM theory we find pairs of different 1/2 BPS Wilson loops that preserve exactly the same set of supercharges. In field theory they arise by Higgsing with the choice of either particles or antiparticles, whereas in the dual description they correspond to a pair of M2-/anti-M2-branes localized at different positions in the compact space. This result enlightens the origin of classical Wilson loop degeneracy in these theories, already discussed in arXiv:1506.07614. A discussion on possible scenarios that emerge by comparison with localization results is included.

7.591368

7.497735

8.794199

7.35087

7.874774

7.591488

7.873334

7.47328

7.58357

8.930933

7.545142

7.390437

7.74962

7.43957

7.549555

7.663926

7.492771

7.540207

7.504054

7.69157

7.345447

hep-th/0003243

Buchholz

Hans-Juergen Borchers, Detlev Buchholz and Bert Schroer

Polarization-Free Generators and the S-Matrix

Dedicated to the memory of Harry Lehmann, 19 pages; revised version (proof of Lemma 3.4 corrected)

Commun.Math.Phys. 219 (2001) 125-140

10.1007/s002200100411

null

hep-th

null

Polarization-free generators, i.e. ``interacting'' Heisenberg operators which are localized in wedge-shaped regions of Minkowski space and generate single particle states from the vacuum, are a novel tool in the analysis and synthesis of two-dimensional integrable quantum field theories. In the present article, the status of these generators is analyzed in a general setting. It is shown that such operators exist in any theory and in any number of spacetime dimensions. But in more than two dimensions they have rather delicate domain properties in the presence of interaction. If, for example, they are defined and temperate on a translation-invariant, dense domain, then the underlying theory yields only trivial scattering. In two-dimensional theories, these domain properties are consistent with non-trivial interaction, but they exclude particle production. Thus the range of applications of polarization-free generators seems to be limited to the realm of two-dimensional theories.

[ { "created": "Mon, 27 Mar 2000 13:30:57 GMT", "version": "v1" }, { "created": "Thu, 20 Apr 2000 10:07:26 GMT", "version": "v2" } ]

2009-10-31

[ [ "Borchers", "Hans-Juergen", "" ], [ "Buchholz", "Detlev", "" ], [ "Schroer", "Bert", "" ] ]

Polarization-free generators, i.e. ``interacting'' Heisenberg operators which are localized in wedge-shaped regions of Minkowski space and generate single particle states from the vacuum, are a novel tool in the analysis and synthesis of two-dimensional integrable quantum field theories. In the present article, the status of these generators is analyzed in a general setting. It is shown that such operators exist in any theory and in any number of spacetime dimensions. But in more than two dimensions they have rather delicate domain properties in the presence of interaction. If, for example, they are defined and temperate on a translation-invariant, dense domain, then the underlying theory yields only trivial scattering. In two-dimensional theories, these domain properties are consistent with non-trivial interaction, but they exclude particle production. Thus the range of applications of polarization-free generators seems to be limited to the realm of two-dimensional theories.

11.063087

11.089581

11.68973

10.807061

11.442105

10.714056

11.269676

10.727148

10.5357

12.019566

10.247549

9.906971

10.219596

10.2736

9.934908

10.0853

9.797165

9.975092

10.198746

10.517522

10.111648

hep-th/0112167

Pedro D. Fonseca

P. Fonseca, A. Zamolodchikov

Ising field theory in a magnetic field: analytic properties of the free energy

65 pages, 23 eps figures; uses harvmac.tex

null

RUNHETC-2001-37

hep-th cond-mat

null

We study the analytic properties of the scaling function associated with the 2D Ising model free energy in the critical domain $T \to T_c$, $H \to 0$. The analysis is based on numerical data obtained through the Truncated Free Fermion Space Approach. We determine the discontinuities across the Yang-Lee and Langer branch cuts. We confirm the standard analyticity assumptions and propose "extended analyticity"; roughly speaking, the latter states that the Yang-Lee branching point is the nearest singularity under Langer's branch cut. We support the extended analyticity by evaluating numerically the associated "extended dispersion relation".

[ { "created": "Wed, 19 Dec 2001 19:22:14 GMT", "version": "v1" } ]

2007-05-23

[ [ "Fonseca", "P.", "" ], [ "Zamolodchikov", "A.", "" ] ]

We study the analytic properties of the scaling function associated with the 2D Ising model free energy in the critical domain $T \to T_c$, $H \to 0$. The analysis is based on numerical data obtained through the Truncated Free Fermion Space Approach. We determine the discontinuities across the Yang-Lee and Langer branch cuts. We confirm the standard analyticity assumptions and propose "extended analyticity"; roughly speaking, the latter states that the Yang-Lee branching point is the nearest singularity under Langer's branch cut. We support the extended analyticity by evaluating numerically the associated "extended dispersion relation".

13.844592

10.688911

13.168301

9.965689

12.067236

9.192484

10.120526

10.393189

9.683839

15.738235

10.403689

10.725373

11.404871

11.001443

10.730154

10.513024

10.755018

11.344985

10.818208

11.180237

10.916283

1405.5532

Austin Joyce

Garrett Goon, Austin Joyce and Mark Trodden

Spontaneously Broken Gauge Theories and the Coset Construction

28 pages. v2: added references

Phys. Rev. D 90, 025022 (2014)

10.1103/PhysRevD.90.025022

null

hep-th hep-ph

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

The methods of non-linear realizations have proven to be powerful in studying the low energy physics resulting from spontaneously broken internal and spacetime symmetries. In this paper, we reconsider how these techniques may be applied to the case of spontaneously broken gauge theories, concentrating on Yang-Mills theories. We find that coset methods faithfully reproduce the description of low energy physics in terms of massive gauge bosons and discover that the St\"uckelberg replacement commonly employed when treating massive gauge theories arises in a natural manner. Uses of the methods are considered in various contexts, including generalizations to $p$-form gauge fields. We briefly discuss potential applications of the techniques to theories of massive gravity and their possible interpretation as a Higgs phase of general relativity.

[ { "created": "Wed, 21 May 2014 20:00:00 GMT", "version": "v1" }, { "created": "Thu, 5 Jun 2014 18:47:04 GMT", "version": "v2" } ]

2014-07-22

[ [ "Goon", "Garrett", "" ], [ "Joyce", "Austin", "" ], [ "Trodden", "Mark", "" ] ]

The methods of non-linear realizations have proven to be powerful in studying the low energy physics resulting from spontaneously broken internal and spacetime symmetries. In this paper, we reconsider how these techniques may be applied to the case of spontaneously broken gauge theories, concentrating on Yang-Mills theories. We find that coset methods faithfully reproduce the description of low energy physics in terms of massive gauge bosons and discover that the St\"uckelberg replacement commonly employed when treating massive gauge theories arises in a natural manner. Uses of the methods are considered in various contexts, including generalizations to $p$-form gauge fields. We briefly discuss potential applications of the techniques to theories of massive gravity and their possible interpretation as a Higgs phase of general relativity.

9.883047

8.596304

9.586588

8.436095

8.494864

8.886618

9.135973

8.462306

8.448567

9.271613

8.462246

8.590705

8.7906

8.735533

8.656155

8.385203

8.734523

8.701918

8.795478

8.701118

8.697716

0810.4750

Hironobu Kihara

Finite Energy Monopoles in Non-Abelian Gauge Theories on Odd-dimensional Spaces

19 pages, 2 figures, 1 table

Phys.Rev.D79:045021,2009

10.1103/PhysRevD.79.045021

KIAS-P08064

hep-th

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

In higher dimensional gauge theory, we need energies with higher power terms of field strength in order to realize point-wise monopoles. We consider new models with higher power terms of field strength and extraordinary kinetic term of scalar field. Monopole charges are computed as integrals over spheres and they are related to mapping class degree. Hedge-Hog solutions are investigated in these models. Every differential equation for these solutions is Abel's differential equation. A condition for existence of finite energy solution is shown. Spaces of 1-jets of these equations are defined as sets of zeros of polynomials. Those spaces can be interpreted as singular quartic surfaces in three-dimensional complex projective space.

[ { "created": "Mon, 27 Oct 2008 07:41:30 GMT", "version": "v1" }, { "created": "Mon, 15 Dec 2008 03:21:16 GMT", "version": "v2" } ]

2009-03-12

[ [ "Kihara", "Hironobu", "" ] ]

In higher dimensional gauge theory, we need energies with higher power terms of field strength in order to realize point-wise monopoles. We consider new models with higher power terms of field strength and extraordinary kinetic term of scalar field. Monopole charges are computed as integrals over spheres and they are related to mapping class degree. Hedge-Hog solutions are investigated in these models. Every differential equation for these solutions is Abel's differential equation. A condition for existence of finite energy solution is shown. Spaces of 1-jets of these equations are defined as sets of zeros of polynomials. Those spaces can be interpreted as singular quartic surfaces in three-dimensional complex projective space.

22.021046

22.049177

21.257915

21.85894

24.514664

22.067696

23.655045

23.946278

23.566957

25.4123

21.441477

21.106218

20.969738

20.630545

20.081816

20.915422

21.10725

20.766129

21.317013

21.738897

21.487667

hep-th/0410057

Roman Konoplya

Quasinormal modes of the charged black hole in Gauss-Bonnet gravity

16 pages, 4 figures, 3 tables; misprints corrected

Phys.Rev. D71 (2005) 024038

10.1103/PhysRevD.71.024038

null

hep-th

null

The d-dimensional string generated gravity models lead to Einstein-Maxwell equations with quadratic order correction term called the Gauss-Bonnet term. We calculate the quasinormal modes for the d-dimensional charged black hole in the framework of this model. The quasinormal spectrum essentially depends upon the Gauss-Bonnet coupling parameter $\alpha$ which is related to the string scale, and is totally different from that for black holes derived from Einstein action. In particular, at large $\alpha$ the quasinormal modes are proportional to $\alpha$, while as $\alpha$ goes to zero the qusinormal modes approach their Schwarzschild values. In contrary to Einstein theory black hole behavior, the damping rate of the charged GB black hole as a function of charge does not contain a chracteristic maximum, but instead the monotonic falling down is observed. In addition, there have been obtained an asymptotic formula for large multipole numbers.

[ { "created": "Wed, 6 Oct 2004 08:46:47 GMT", "version": "v1" }, { "created": "Sat, 9 Oct 2004 14:09:41 GMT", "version": "v2" }, { "created": "Tue, 19 Oct 2004 19:40:58 GMT", "version": "v3" }, { "created": "Sun, 6 Feb 2005 16:24:01 GMT", "version": "v4" } ]

2009-11-10

[ [ "Konoplya", "Roman", "" ] ]

The d-dimensional string generated gravity models lead to Einstein-Maxwell equations with quadratic order correction term called the Gauss-Bonnet term. We calculate the quasinormal modes for the d-dimensional charged black hole in the framework of this model. The quasinormal spectrum essentially depends upon the Gauss-Bonnet coupling parameter $\alpha$ which is related to the string scale, and is totally different from that for black holes derived from Einstein action. In particular, at large $\alpha$ the quasinormal modes are proportional to $\alpha$, while as $\alpha$ goes to zero the qusinormal modes approach their Schwarzschild values. In contrary to Einstein theory black hole behavior, the damping rate of the charged GB black hole as a function of charge does not contain a chracteristic maximum, but instead the monotonic falling down is observed. In addition, there have been obtained an asymptotic formula for large multipole numbers.

11.457554

10.647495

10.05721

9.819432

10.749986

10.111327

10.464338

9.644119

10.340332

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10.645457

10.134777

10.011129

10.678613

10.55817

10.835179

10.645719

10.052321

10.471528

10.546195

10.293362

hep-th/0503127

Bernard Piette

V.B. Kopeliovich, B. Piette and W.J. Zakrzewski

Mass terms in the Skyrme Model

28 pages, 5 figures, 6 tables

Phys.Rev. D73 (2006) 014006

10.1103/PhysRevD.73.014006

null

hep-th

null

We consider various forms of the mass term that can be used in the Skyrme model and their implications on the properties of baryonic states. We show that, with an appropriate choice for the mass term, without changing the asymptotic behaviour of the profile functions at large $r$, we can considerably reduce or increase the mass term's contribution to the classical mass of the solitons. We find that multibaryon configurations can be classically bound at large baryon numbers for some choices of this mass term.

[ { "created": "Wed, 16 Mar 2005 08:18:58 GMT", "version": "v1" } ]

2009-11-11

[ [ "Kopeliovich", "V. B.", "" ], [ "Piette", "B.", "" ], [ "Zakrzewski", "W. J.", "" ] ]

We consider various forms of the mass term that can be used in the Skyrme model and their implications on the properties of baryonic states. We show that, with an appropriate choice for the mass term, without changing the asymptotic behaviour of the profile functions at large $r$, we can considerably reduce or increase the mass term's contribution to the classical mass of the solitons. We find that multibaryon configurations can be classically bound at large baryon numbers for some choices of this mass term.

8.485919

7.763008

8.014758

7.482765

7.768125

8.161263

8.033378

7.315346

7.681073

7.910797

7.58587

7.902001

7.84854

7.658983

8.111277

8.004563

7.823783

8.086816

7.790991

7.905156

7.733552

1810.05115

Timothy Adamo

Tim Adamo, Eduardo Casali, Lionel Mason, Stefan Nekovar

Plane wave backgrounds and colour-kinematics duality

29 pages, 4 figures

null

10.1007/JHEP02(2019)198

IMPERIAL-TP-TA-2018-04

hep-th

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

We obtain the detailed Feynman rules for perturbative gauge theory on a fixed Yang-Mills plane wave background. Using these rules, the tree-level 4-point gluon amplitude is computed and some 1-loop Feynman diagrams are considered. As an application, we test the extent to which colour-kinematics duality, the relation between the colour and kinematic constituents of the amplitude, holds on the plane wave background. Although the duality is obstructed, the obstruction has an interesting constrained structure. This plane wave version of colour-kinematics duality reduces on a flat background to the well-known identities underpinning the BCJ relations for colour-ordered partial amplitudes, and constrains representations of tree-level amplitudes beyond 4-points.

[ { "created": "Thu, 11 Oct 2018 16:47:00 GMT", "version": "v1" } ]

2019-03-27

[ [ "Adamo", "Tim", "" ], [ "Casali", "Eduardo", "" ], [ "Mason", "Lionel", "" ], [ "Nekovar", "Stefan", "" ] ]

We obtain the detailed Feynman rules for perturbative gauge theory on a fixed Yang-Mills plane wave background. Using these rules, the tree-level 4-point gluon amplitude is computed and some 1-loop Feynman diagrams are considered. As an application, we test the extent to which colour-kinematics duality, the relation between the colour and kinematic constituents of the amplitude, holds on the plane wave background. Although the duality is obstructed, the obstruction has an interesting constrained structure. This plane wave version of colour-kinematics duality reduces on a flat background to the well-known identities underpinning the BCJ relations for colour-ordered partial amplitudes, and constrains representations of tree-level amplitudes beyond 4-points.

8.791433

9.109545

10.04713

8.860047

9.140437

9.279211

9.462653

8.538929

8.692202

10.603786

8.318252

8.817063

9.646925

8.72653

8.848655

8.855911

8.492022

8.941579

9.053041

8.694881

8.434721

1902.05547

Arjun Kar

Vishnu Jejjala, Arjun Kar, Onkar Parrikar

Deep Learning the Hyperbolic Volume of a Knot

18 pages, 9 figures, updated figures

null

10.1016/j.physletb.2019.135033

null

hep-th math.GT math.QA

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

An important conjecture in knot theory relates the large-$N$, double scaling limit of the colored Jones polynomial $J_{K,N}(q)$ of a knot $K$ to the hyperbolic volume of the knot complement, $\text{Vol}(K)$. A less studied question is whether $\text{Vol}(K)$ can be recovered directly from the original Jones polynomial ($N = 2$). In this report we use a deep neural network to approximate $\text{Vol}(K)$ from the Jones polynomial. Our network is robust and correctly predicts the volume with $97.6\%$ accuracy when training on $10\%$ of the data. This points to the existence of a more direct connection between the hyperbolic volume and the Jones polynomial.

[ { "created": "Thu, 14 Feb 2019 18:59:07 GMT", "version": "v1" }, { "created": "Wed, 20 Feb 2019 16:28:47 GMT", "version": "v2" }, { "created": "Mon, 16 Sep 2019 14:22:09 GMT", "version": "v3" } ]

2019-10-30

[ [ "Jejjala", "Vishnu", "" ], [ "Kar", "Arjun", "" ], [ "Parrikar", "Onkar", "" ] ]

An important conjecture in knot theory relates the large-$N$, double scaling limit of the colored Jones polynomial $J_{K,N}(q)$ of a knot $K$ to the hyperbolic volume of the knot complement, $\text{Vol}(K)$. A less studied question is whether $\text{Vol}(K)$ can be recovered directly from the original Jones polynomial ($N = 2$). In this report we use a deep neural network to approximate $\text{Vol}(K)$ from the Jones polynomial. Our network is robust and correctly predicts the volume with $97.6\%$ accuracy when training on $10\%$ of the data. This points to the existence of a more direct connection between the hyperbolic volume and the Jones polynomial.

4.716452

5.079103

5.098852

4.918561

5.32442

4.88808

4.983257

4.960544

4.814181

5.768748

4.841486

4.693094

4.859622

4.815061

4.756921

4.69955

4.852385

4.836953

4.87284

4.926063

4.668487

0910.1828

Jonathan Mark Evans

Jonathan M. Evans

Trialities and Exceptional Lie Algebras: DECONSTRUCTING the Magic Square

34 pages, plain TeX, 2 figures

null

DAMTP-2009-62

hep-th

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

A construction of the magic square, and hence of exceptional Lie algebras, is carried out using trialities rather than division algebras. By way of preparation, a comprehensive discussion of trialities is given, incorporating a number of novel results and proofs. Many of the techniques are closely related to, or derived from, ideas which are commonplace in theoretical physics. The importance of symmetric spaces in the magic square construction is clarified, allowing the Jacobi property to be verified for each algebra in a uniform and transparent way, with no detailed calculations required. A variation on the construction, corresponding to other symmetric spaces, is also given.

[ { "created": "Fri, 9 Oct 2009 19:54:03 GMT", "version": "v1" } ]

2009-10-12

[ [ "Evans", "Jonathan M.", "" ] ]

A construction of the magic square, and hence of exceptional Lie algebras, is carried out using trialities rather than division algebras. By way of preparation, a comprehensive discussion of trialities is given, incorporating a number of novel results and proofs. Many of the techniques are closely related to, or derived from, ideas which are commonplace in theoretical physics. The importance of symmetric spaces in the magic square construction is clarified, allowing the Jacobi property to be verified for each algebra in a uniform and transparent way, with no detailed calculations required. A variation on the construction, corresponding to other symmetric spaces, is also given.

14.806701

13.560548

14.42384

13.440644

13.771392

14.122418

13.550948

13.090997

13.672004

14.343512

13.008972

12.619194

13.110953

12.585245

12.439809

12.026658

12.197377

12.456221

13.0077

12.960498

12.473351

1102.5343

Daniel Baumann

Daniel Baumann and Daniel Green

Equilateral Non-Gaussianity and New Physics on the Horizon

45 pages, 4 figures; v2: references added

null

10.1088/1475-7516/2011/09/014

null

hep-th astro-ph.CO hep-ph

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

We examine the effective theory of single-field inflation in the limit where the scalar perturbations propagate with a small speed of sound. In this case the non-linearly realized time-translation symmetry of the Lagrangian implies large interactions, giving rise to primordial non-Gaussianities. When the non-Gaussianities are measurable, these interactions will become strongly coupled unless new physics appears close to the Hubble scale. Due to its proximity to the Hubble scale, the new physics is not necessarily decoupled from inflationary observables and can potentially affect the predictions of the model. To understand the types of corrections that may arise, we construct weakly-coupled completions of the theory and study their observational signatures.

[ { "created": "Fri, 25 Feb 2011 21:01:49 GMT", "version": "v1" }, { "created": "Wed, 23 Mar 2011 15:19:38 GMT", "version": "v2" } ]

2015-05-27

[ [ "Baumann", "Daniel", "" ], [ "Green", "Daniel", "" ] ]

We examine the effective theory of single-field inflation in the limit where the scalar perturbations propagate with a small speed of sound. In this case the non-linearly realized time-translation symmetry of the Lagrangian implies large interactions, giving rise to primordial non-Gaussianities. When the non-Gaussianities are measurable, these interactions will become strongly coupled unless new physics appears close to the Hubble scale. Due to its proximity to the Hubble scale, the new physics is not necessarily decoupled from inflationary observables and can potentially affect the predictions of the model. To understand the types of corrections that may arise, we construct weakly-coupled completions of the theory and study their observational signatures.

7.797569

7.404388

7.594835

7.214119

8.135319

7.61377

8.206213

7.357145

7.071722

8.322009

7.129843

7.978157

7.849644

7.628532

7.405156

7.641431

7.531838

7.683665

7.715503

7.953073

7.582167

1708.06339

Carlos Andres Cardona Giraldo

Carlos Cardona

Mellin-(Schwinger) representation of One-loop Witten diagrams in AdS

27 pages, 6 figures. References added, typos corrected

null

NCTS-TH/1713

hep-th

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

In this paper we consider Witten diagrams at one loop in AdS space for scalar $\phi^3+\phi^4$ theory. After using Schwinger parametrization to trivialize the space-time loop integration, we extract the Mellin-Barnes representation for the one-loop corrections to the four-particle scattering up to an integration over the Schwinger parameters corresponding to the propagators of the internal particles running into the loop. We then discuss an approach to deal with those integrals.

[ { "created": "Mon, 21 Aug 2017 17:54:46 GMT", "version": "v1" }, { "created": "Wed, 30 Aug 2017 12:48:13 GMT", "version": "v2" } ]

2017-08-31

[ [ "Cardona", "Carlos", "" ] ]

In this paper we consider Witten diagrams at one loop in AdS space for scalar $\phi^3+\phi^4$ theory. After using Schwinger parametrization to trivialize the space-time loop integration, we extract the Mellin-Barnes representation for the one-loop corrections to the four-particle scattering up to an integration over the Schwinger parameters corresponding to the propagators of the internal particles running into the loop. We then discuss an approach to deal with those integrals.

10.216782

9.902643

10.090008

9.038612

8.13265

8.897552

9.147878

8.902089

9.210346

10.221935

8.462687

8.700793

8.325261

8.828048

8.853478

9.029706

8.976781

8.673014

8.783442

8.606037

8.789063

2303.02821

Peter Kazinski

P.O. Kazinski, T.V. Solovyev

Susceptibility of a single photon wave packet

15 pp., 1 fig; some misprints corrected

Phys. Rev. D 108, 016004 (2023)

10.1103/PhysRevD.108.016004

null

hep-th quant-ph

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

The explicit compact expression for the susceptibility tensor of a single photon wave packet on the photon mass-shell is derived. It is assumed that the probe photon is hard, the test photon is soft, and their total energy is below the electron-positron pair creation threshold. It turns out that a single photon wave packet can be regarded as a birefringent gyrotropic dispersive medium in the process of light-by-light scattering. The explicit expression for the inclusive probability to record the probe photon in the process of light-by-light scattering is obtained in the first nontrivial order of perturbation theory where the interference effect of the free passed and scattered parts of the photon wave function dominates. This effect is of order $\alpha^2$ in contrast to the standard contribution to the light-by-light scattering cross-section which is of order $\alpha^4$. The possible nontrivial shapes of the wave functions of probe and test photons are taken into account. The evolution of the Stokes parameters of a probe photon is described. The change of the Stokes parameters is rather large for hard probe photons and sufficiently intense beams of soft test photons.

[ { "created": "Mon, 6 Mar 2023 01:25:21 GMT", "version": "v1" }, { "created": "Tue, 14 Mar 2023 01:48:30 GMT", "version": "v2" }, { "created": "Sun, 2 Jul 2023 04:50:29 GMT", "version": "v3" } ]

2023-07-18

[ [ "Kazinski", "P. O.", "" ], [ "Solovyev", "T. V.", "" ] ]

The explicit compact expression for the susceptibility tensor of a single photon wave packet on the photon mass-shell is derived. It is assumed that the probe photon is hard, the test photon is soft, and their total energy is below the electron-positron pair creation threshold. It turns out that a single photon wave packet can be regarded as a birefringent gyrotropic dispersive medium in the process of light-by-light scattering. The explicit expression for the inclusive probability to record the probe photon in the process of light-by-light scattering is obtained in the first nontrivial order of perturbation theory where the interference effect of the free passed and scattered parts of the photon wave function dominates. This effect is of order $\alpha^2$ in contrast to the standard contribution to the light-by-light scattering cross-section which is of order $\alpha^4$. The possible nontrivial shapes of the wave functions of probe and test photons are taken into account. The evolution of the Stokes parameters of a probe photon is described. The change of the Stokes parameters is rather large for hard probe photons and sufficiently intense beams of soft test photons.

8.260544

9.373632

8.218654

7.855251

9.029652

9.241299

9.294084

8.822996

7.41584

8.475239

8.75458

7.995491

8.016258

7.987561

8.05397

8.256508

8.375763

8.321451

7.796545

8.210086

7.987886

1307.5997

Giulio Bonelli

Giulio Bonelli, Antonio Sciarappa, Alessandro Tanzini and Petr Vasko

Vortex partition functions, wall crossing and equivariant Gromov-Witten invariants

44 pages, no figures: v2 version to appear in Comm. Math. Phys., a new section added

Commun. Math. Phys. (2015) 333: 717

10.1007/s00220-014-2193-8

SISSA 34/2013/MATE-FISI

hep-th math-ph math.AG math.MP

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

In this paper we identify the problem of equivariant vortex counting in a $(2,2)$ supersymmetric two dimensional quiver gauged linear sigma model with that of computing the equivariant Gromov-Witten invariants of the GIT quotient target space determined by the quiver. We provide new contour integral formulae for the ${\cal I}$ and ${\cal J}$-functions encoding the equivariant quantum cohomology of the target space. Its chamber structure is shown to be encoded in the analytical properties of the integrand. This is explained both via general arguments and by checking several key cases. We show how several results in equivariant Gromov-Witten theory follow just by deforming the integration contour. In particular we apply our formalism to compute Gromov-Witten invariants of the $\mathbb{C}^3/\mathbb{Z}_n$ orbifold, of the Uhlembeck (partial) compactification of the moduli space of instantons on $\mathbb {C}^2$ and of $A_n$ and $D_n$ singularities both in the orbifold and resolved phases. Moreover, we analyse dualities of quantum cohomology rings of holomorphic vector bundles over Grassmannians, which are relevant to BPS Wilson loop algebrae.

[ { "created": "Tue, 23 Jul 2013 09:44:55 GMT", "version": "v1" }, { "created": "Thu, 20 Nov 2014 12:26:12 GMT", "version": "v2" } ]

2019-12-06

[ [ "Bonelli", "Giulio", "" ], [ "Sciarappa", "Antonio", "" ], [ "Tanzini", "Alessandro", "" ], [ "Vasko", "Petr", "" ] ]

In this paper we identify the problem of equivariant vortex counting in a $(2,2)$ supersymmetric two dimensional quiver gauged linear sigma model with that of computing the equivariant Gromov-Witten invariants of the GIT quotient target space determined by the quiver. We provide new contour integral formulae for the ${\cal I}$ and ${\cal J}$-functions encoding the equivariant quantum cohomology of the target space. Its chamber structure is shown to be encoded in the analytical properties of the integrand. This is explained both via general arguments and by checking several key cases. We show how several results in equivariant Gromov-Witten theory follow just by deforming the integration contour. In particular we apply our formalism to compute Gromov-Witten invariants of the $\mathbb{C}^3/\mathbb{Z}_n$ orbifold, of the Uhlembeck (partial) compactification of the moduli space of instantons on $\mathbb {C}^2$ and of $A_n$ and $D_n$ singularities both in the orbifold and resolved phases. Moreover, we analyse dualities of quantum cohomology rings of holomorphic vector bundles over Grassmannians, which are relevant to BPS Wilson loop algebrae.

6.134279

7.04825

7.619727

6.756762

6.763594

7.173367

6.763776

6.813718

6.870393

8.039601

6.649864

6.06289

6.904118

6.112253

6.464958

6.035101

6.172917

6.083503

6.269623

6.824505

6.207233

0807.2773

Bojan Pomori\v{s}ac

B. Pomori\v{s}ac

In search of the true vacuum: natural ordering, $\gamma$ condensate and the last renormalization

18 pages, 6 figures, minor revision

null

hep-th

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

With the idea of canceling the leading divergence in vacuum energy of $\varphi^4$ field theory a parameter is introduced that interpolates between free Hamiltonian with or without normal ordering. This leads to a condensate ground state having an arbitrary number of particle-particle pairs. In addition to the usual states, the condensate supports the states of negative energy and negative norm. An explicit expression for the condensate state is derived and perturbation theory with this state investigated. The propagator is modified off the mass shell while unchanged on the mass shell. Lowest order correction to the vacuum energy is calculated and conditions for cancelation of the leading divergence investigated. One possible solution is that all radiative corrections in this formulation vanish. The other possible solution implies a phase transition above the coupling of $\frac{(2\pi)^2}{3}$ and the condensate non-analytical in the coupling constant. Possible implications are discussed.

[ { "created": "Thu, 17 Jul 2008 15:58:31 GMT", "version": "v1" }, { "created": "Fri, 18 Jul 2008 15:41:35 GMT", "version": "v2" } ]

2008-07-18

[ [ "Pomorišac", "B.", "" ] ]

With the idea of canceling the leading divergence in vacuum energy of $\varphi^4$ field theory a parameter is introduced that interpolates between free Hamiltonian with or without normal ordering. This leads to a condensate ground state having an arbitrary number of particle-particle pairs. In addition to the usual states, the condensate supports the states of negative energy and negative norm. An explicit expression for the condensate state is derived and perturbation theory with this state investigated. The propagator is modified off the mass shell while unchanged on the mass shell. Lowest order correction to the vacuum energy is calculated and conditions for cancelation of the leading divergence investigated. One possible solution is that all radiative corrections in this formulation vanish. The other possible solution implies a phase transition above the coupling of $\frac{(2\pi)^2}{3}$ and the condensate non-analytical in the coupling constant. Possible implications are discussed.

14.332761

12.65062

13.147573

12.684315

13.409724

12.884791

13.227189

13.434087

12.925708

14.033627

12.887197

13.25722

12.698746

12.630101

12.54826

12.768602

12.733948

12.640275

12.768825

12.756227

12.461431

0909.3153

Maximilian Schmidt-Sommerfeld

One-loop and D-instanton corrections to the effective action of open string models

This article is essentially the main part of the author's PhD thesis

null

MPP-2009-161

hep-th

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

One-loop corrections to the gauge coupling and the gauge kinetic function in certain classes of four-dimensional D-brane models are computed. It is described how to determine D-instanton corrections to the superpotential and the gauge kinetic function in such models. The Affleck-Dine-Seiberg superpotential is rederived in string theory. The existence of a new class of multi-instantons, dubbed poly-instantons, is conjectured.

[ { "created": "Thu, 17 Sep 2009 07:27:15 GMT", "version": "v1" } ]

2009-09-18

[ [ "Schmidt-Sommerfeld", "Maximilian", "" ] ]

One-loop corrections to the gauge coupling and the gauge kinetic function in certain classes of four-dimensional D-brane models are computed. It is described how to determine D-instanton corrections to the superpotential and the gauge kinetic function in such models. The Affleck-Dine-Seiberg superpotential is rederived in string theory. The existence of a new class of multi-instantons, dubbed poly-instantons, is conjectured.

7.783694

6.820985

9.481454

6.836073

7.401077

6.731001

7.274744

6.765288

6.758681

8.512209

6.65168

6.669769

8.231825

6.886451

6.9265

6.71126

6.665842

6.66908

6.701192

7.784

6.946736

hep-th/9811077

null

Richard Battye and Paul Sutcliffe

Solitons, Links and Knots

24 pages plus 14 figures in GIF format

Proc.Roy.Soc.Lond. A455 (1999) 4305-4331

10.1098/rspa.1999.0502

null

hep-th

null

Using numerical simulations of the full nonlinear equations of motion we investigate topological solitons of a modified O(3) sigma model in three space dimensions, in which the solitons are stabilized by the Hopf charge. We find that for solitons up to charge five the solutions have the structure of closed strings, which become increasingly twisted as the charge increases. However, for higher charge the solutions are more exotic and comprise linked loops and knots. We discuss the structure and formation of these solitons and demonstrate that the key property responsible for producing such a rich variety of solitons is that of string reconnection.

[ { "created": "Mon, 9 Nov 1998 13:01:12 GMT", "version": "v1" } ]

2009-10-31

[ [ "Battye", "Richard", "" ], [ "Sutcliffe", "Paul", "" ] ]

Using numerical simulations of the full nonlinear equations of motion we investigate topological solitons of a modified O(3) sigma model in three space dimensions, in which the solitons are stabilized by the Hopf charge. We find that for solitons up to charge five the solutions have the structure of closed strings, which become increasingly twisted as the charge increases. However, for higher charge the solutions are more exotic and comprise linked loops and knots. We discuss the structure and formation of these solitons and demonstrate that the key property responsible for producing such a rich variety of solitons is that of string reconnection.

10.033423

8.656661

9.416713

8.43414

8.707684

8.805186

9.501764

8.719564

8.159402

10.327159

8.459219

9.135174

8.997344

8.731433

8.862431

9.055048

8.465515

8.777453

8.7129

9.040111

8.580865

2004.12135

Aradhita Chattopadhyaya

Gravitational couplings in ${\cal N}=2$ heterotic compactifications with Wilson lines

37 pages, 1 figure, some typos fixed

null

10.1007/JHEP07(2020)185

null

hep-th

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

In this paper we compute the gravitational couplings of the heterotic string compactified on $(K3\times T^2)/\mathbb{Z}_N$ and $E_8\times E_8$ and predict the Gopakumar Vafa invariants of the dual Calabi Yau manifold in presence of Wilson lines. Here $\mathbb{Z}_N$ acts as an automorphism on $K3$ associated with the conjugacy classes of $M_{23}$ and a shift of $1/N$ on one of the $S^1$ of $T^2$. We study in detail the cases $N=2,3$ for standard and several non-standard embeddings where $K3$ is realized as toroidal orbifolds $T^4/\mathbb{Z}_4$ and $T^4/\mathbb{Z}_3$. From these computations we extract the polynomial term in perturbative pre-potential for these orbifold models in presence of a single Wilson line. We also show for standard embeddings the integrality of the Gopakumar Vafa invariants depend on the integrality of Fourier coefficients of Fourier transform of the twisted elliptic genus of $K3$ in presence of $n<8$ Wilson lines.

[ { "created": "Sat, 25 Apr 2020 13:06:51 GMT", "version": "v1" }, { "created": "Wed, 13 May 2020 13:22:20 GMT", "version": "v2" } ]

2020-08-26

[ [ "Chattopadhyaya", "Aradhita", "" ] ]

In this paper we compute the gravitational couplings of the heterotic string compactified on $(K3\times T^2)/\mathbb{Z}_N$ and $E_8\times E_8$ and predict the Gopakumar Vafa invariants of the dual Calabi Yau manifold in presence of Wilson lines. Here $\mathbb{Z}_N$ acts as an automorphism on $K3$ associated with the conjugacy classes of $M_{23}$ and a shift of $1/N$ on one of the $S^1$ of $T^2$. We study in detail the cases $N=2,3$ for standard and several non-standard embeddings where $K3$ is realized as toroidal orbifolds $T^4/\mathbb{Z}_4$ and $T^4/\mathbb{Z}_3$. From these computations we extract the polynomial term in perturbative pre-potential for these orbifold models in presence of a single Wilson line. We also show for standard embeddings the integrality of the Gopakumar Vafa invariants depend on the integrality of Fourier coefficients of Fourier transform of the twisted elliptic genus of $K3$ in presence of $n<8$ Wilson lines.

5.842285

5.243511

6.561299

5.227665

5.650127

5.69829

5.201852

5.296153

5.281447

7.481723

5.309327

5.577131

5.884945

5.605773

5.496374

5.600698

5.498466

5.523179

5.539354

5.754582

5.597217

1703.07776

Kenan Sogut

Kenan Sogut, Hilmi Yanar and Ali Havare

Production of Dirac Particles in External Electromagnetic Fields

Accepted for publication in Acta Physica Polonica B

null

10.5506/APhysPolB.48.1493

null

hep-th

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

Pair creation of spin- 1/2 particles in Minkowski spacetime is investigated by obtaining exact solu- tions of the Dirac equation in the presence of electromagnetic fields and using them for determining the Bogoliubov coefficients. The resulting particle creation number density depends on the strength of the electric and magnetic fields.

[ { "created": "Wed, 22 Mar 2017 14:02:02 GMT", "version": "v1" }, { "created": "Wed, 3 May 2017 08:49:44 GMT", "version": "v2" }, { "created": "Fri, 29 Sep 2017 13:11:52 GMT", "version": "v3" } ]

2017-11-22

[ [ "Sogut", "Kenan", "" ], [ "Yanar", "Hilmi", "" ], [ "Havare", "Ali", "" ] ]

Pair creation of spin- 1/2 particles in Minkowski spacetime is investigated by obtaining exact solu- tions of the Dirac equation in the presence of electromagnetic fields and using them for determining the Bogoliubov coefficients. The resulting particle creation number density depends on the strength of the electric and magnetic fields.

7.953236

6.780793

6.691167

6.959109

6.906299

7.54098

7.42997

6.641974

6.982292

7.079618

6.791894

6.857784

6.900661

6.859975

6.914509

6.765711

6.949711

6.818095

6.825161

6.859301

7.017203

hep-th/9908037

Andrey Bytsenko

A.A. Bytsenko, A.E. Goncalves and F.L. Williams

Chern-Simons Invariants of Closed Hyperbolic 3-Manifolds

10 pages, 2 diagrams

Mod.Phys.Lett. A15 (2000) 1031-1036

10.1142/S0217732300001298

Preprint No. UEL/DF-990501

hep-th

null

The Chern-Simons invariants of irreducible U(n)- flat connections on compact hyperbolic 3-manifolds of the form {\Gamma}\H^3 are derived. The explicit formula for the Chern-Simons functional is given in terms of Selberg type zeta functions related to the twisted eta invariants of Atiyah-Patodi-Singer.

[ { "created": "Wed, 4 Aug 1999 18:12:58 GMT", "version": "v1" } ]

2009-10-31

[ [ "Bytsenko", "A. A.", "" ], [ "Goncalves", "A. E.", "" ], [ "Williams", "F. L.", "" ] ]

The Chern-Simons invariants of irreducible U(n)- flat connections on compact hyperbolic 3-manifolds of the form {\Gamma}\H^3 are derived. The explicit formula for the Chern-Simons functional is given in terms of Selberg type zeta functions related to the twisted eta invariants of Atiyah-Patodi-Singer.

8.585267

6.5468

10.197826

7.358814

7.784115

7.123088

7.017588

6.906656

6.383525

10.588749

7.322453

7.818922

9.434281

8.188824

8.022018

7.829033

8.095729

8.256059

8.180636

9.265226

7.965282

1110.0867

Marcelo Botta Cantcheff

Emergent spacetime, and a model for unitary gravitational collapse in AdS

19 pages, 1 figure

null

hep-th gr-qc

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

We propose a CFT unitary description of the gravitational collapse. The starting point is the model of a black hole in AdS proposed by Maldacena in arXiv: 0106112 [hep-th]. We show that by proposing a two-copies version of the AdS/CFT conjecture, the process of formation of black holes so as other spacetimes with horizons may be described as an unitary process in the dual field theory. In doing this, we construct a well defined framework to describe general spacetimes as entangled states, in terms of the spectrum of states on the exact Anti-de-Sitter background. As application, we show how the description of the Hawking-Page transition results simplified in this formalism and some novel aspects may be observed. Finally, a simplified analysis based on weakly coupled bulk fields is discussed.

[ { "created": "Tue, 4 Oct 2011 23:25:28 GMT", "version": "v1" } ]

2011-10-06

[ [ "Cantcheff", "Marcelo Botta", "" ] ]

We propose a CFT unitary description of the gravitational collapse. The starting point is the model of a black hole in AdS proposed by Maldacena in arXiv: 0106112 [hep-th]. We show that by proposing a two-copies version of the AdS/CFT conjecture, the process of formation of black holes so as other spacetimes with horizons may be described as an unitary process in the dual field theory. In doing this, we construct a well defined framework to describe general spacetimes as entangled states, in terms of the spectrum of states on the exact Anti-de-Sitter background. As application, we show how the description of the Hawking-Page transition results simplified in this formalism and some novel aspects may be observed. Finally, a simplified analysis based on weakly coupled bulk fields is discussed.

12.120004

13.458984

13.375103

12.510158

12.34394

13.042161

12.529471

11.82258

12.29108

14.107722

11.84854

12.26248

11.844447

11.671322

11.627137

11.697344

11.725154

11.709149

11.737483

11.956512

11.69358

0708.3386

Spyros Avramis

Spyros D. Avramis, Alex Kehagias, Constantina Mattheopoulou

Three-dimensional AdS gravity and extremal CFTs at c=8m

17 pages, harvmac; v2: references added, version accepted in JHEP

JHEP 0711:022,2007

10.1088/1126-6708/2007/11/022

null

hep-th

null

We note that Witten's proposed duality between extremal c=24k CFTs and three-dimensional anti-de Sitter gravity may possibly be extended to central charges that are multiples of 8, for which extremal self-dual CFTs are known to exist up to c=40. All CFTs of this type with central charge 24 or higher, provided that they exist, have the required mass gap and may serve as candidate duals to three-dimensional gravity at the corresponding values of the cosmological constant. Here, we compute the genus one partition function of these theories up to c=88, we give exact and approximate formulas for the degeneracies of states, and we determine the genus two partition functions of the theories up to c=40.

[ { "created": "Fri, 24 Aug 2007 19:29:38 GMT", "version": "v1" }, { "created": "Mon, 29 Oct 2007 19:59:25 GMT", "version": "v2" } ]

2009-06-10

[ [ "Avramis", "Spyros D.", "" ], [ "Kehagias", "Alex", "" ], [ "Mattheopoulou", "Constantina", "" ] ]

We note that Witten's proposed duality between extremal c=24k CFTs and three-dimensional anti-de Sitter gravity may possibly be extended to central charges that are multiples of 8, for which extremal self-dual CFTs are known to exist up to c=40. All CFTs of this type with central charge 24 or higher, provided that they exist, have the required mass gap and may serve as candidate duals to three-dimensional gravity at the corresponding values of the cosmological constant. Here, we compute the genus one partition function of these theories up to c=88, we give exact and approximate formulas for the degeneracies of states, and we determine the genus two partition functions of the theories up to c=40.

9.448462

8.833779

10.359616

9.220491

9.448534

9.129314

9.657773

9.057494

8.610851

10.438769

8.666829

8.701181

9.474824

8.690063

8.806864

8.543673

8.736545

8.997874

8.716877

9.1315

8.787322

0904.2205

Daniel Ferrante

D. D. Ferrante

Symmetry Breaking: A New Paradigm for Non-Perturbative QFT and Topological Transitions

103 pages, 56 figures, author's Ph.D. thesis

null

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

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

Symmetry Breaking is used as an "underlying principle", bringing different features of QFT to the foreground. However, the understanding of Symmetry Breaking that is used here is quite different from what is done in the mainstream: Symmetry Breaking is understood as the solution set of a given QFT, its vacuum manifold, or, more modernly, its Moduli Space. Distinct solutions correspond to different sectors, phases, of the theory, which are nothing but distinct foliations of the vacuum manifold, or points in the Moduli Space (for all possible values of the parameters of the theory). Under this framework, three different problems will be attacked: "Mollifying QFT", "Topological Transitions and Geometric Langlands Duality" and "Three-dimensional Gravity and its Phase Transitions". The first makes use of the Moduli Space of the theory in order to construct an appropriate mollification of it, rendering it viable to simulate a QFT in Lorentzian spaces, tackling the "sign problem" heads-on. The connections with Lee-Yang zeros and Stokes Phenomena will be made clear. The second will show that each different phase has its own topology which can be used as Superselection Rule; moreover, the Euler Characteristic of each phase gives it quantization condition. The mechanism via which several dualities work will also be elucidated. The last one will generalize a 0-dimensional QFT, via dimensional construction through its D-Module, and conjecture several connections between the Lie-algebra-valued extension of the Airy function and the recent Partition Function found for three-dimensional gravity with a negative cosmological constant. These three problems, put together, should exhibit a solid and robust framework for treating QFT under this new paradigm.

[ { "created": "Tue, 14 Apr 2009 20:39:25 GMT", "version": "v1" } ]

2009-04-16

[ [ "Ferrante", "D. D.", "" ] ]

Symmetry Breaking is used as an "underlying principle", bringing different features of QFT to the foreground. However, the understanding of Symmetry Breaking that is used here is quite different from what is done in the mainstream: Symmetry Breaking is understood as the solution set of a given QFT, its vacuum manifold, or, more modernly, its Moduli Space. Distinct solutions correspond to different sectors, phases, of the theory, which are nothing but distinct foliations of the vacuum manifold, or points in the Moduli Space (for all possible values of the parameters of the theory). Under this framework, three different problems will be attacked: "Mollifying QFT", "Topological Transitions and Geometric Langlands Duality" and "Three-dimensional Gravity and its Phase Transitions". The first makes use of the Moduli Space of the theory in order to construct an appropriate mollification of it, rendering it viable to simulate a QFT in Lorentzian spaces, tackling the "sign problem" heads-on. The connections with Lee-Yang zeros and Stokes Phenomena will be made clear. The second will show that each different phase has its own topology which can be used as Superselection Rule; moreover, the Euler Characteristic of each phase gives it quantization condition. The mechanism via which several dualities work will also be elucidated. The last one will generalize a 0-dimensional QFT, via dimensional construction through its D-Module, and conjecture several connections between the Lie-algebra-valued extension of the Airy function and the recent Partition Function found for three-dimensional gravity with a negative cosmological constant. These three problems, put together, should exhibit a solid and robust framework for treating QFT under this new paradigm.

15.789751

16.979673

17.06069

16.196806

16.015827

17.025799

16.700733

16.60158

16.84318

16.794422

16.211637

15.577271

16.139587

15.572347

15.610888

15.537138

15.40843

15.701582

15.375388

16.109497

15.452095

hep-th/0201099

Shahin Rouhani

S. Moghimi-Araghi, S. Rouhani and M. Saadat

Use of Nilpotent weights in Logarithmic Conformal Field Theories

21 pages. Talk delivered in School and Workshop on Logarithmic Conformal Field Theory, Tehran, Iran, September 2001

Int.J.Mod.Phys. A18 (2003) 4747-4770

10.1142/S0217751X03016914

null

hep-th

null

We show that logarithmic conformal field theories may be derived using nilpotent scale transformation. Using such nilpotent weights we derive properties of LCFT's, such as two and three point correlation functions solely from symmetry arguments. Singular vectors and the Kac determinant may also be obtained using these nilpotent variables, hence the structure of the four point functions can also be derived. This leads to non homogeneous hypergeometric functions. Also we consider LCFT's near a boundary. Constructing "superfields" using a nilpotent variable, we show that the superfield of conformal weight zero, composed of the identity and the pseudo identity is related to a superfield of conformal dimension two, which comprises of energy momentum tensor and its logarithmic partner. This device also allows us to derive the operator product expansion for logarithmic operators. Finally we discuss the AdS/LCFT correspondence and derive some correlation functions and a BRST symmetry.

[ { "created": "Tue, 15 Jan 2002 08:42:58 GMT", "version": "v1" } ]

2009-11-07

[ [ "Moghimi-Araghi", "S.", "" ], [ "Rouhani", "S.", "" ], [ "Saadat", "M.", "" ] ]

We show that logarithmic conformal field theories may be derived using nilpotent scale transformation. Using such nilpotent weights we derive properties of LCFT's, such as two and three point correlation functions solely from symmetry arguments. Singular vectors and the Kac determinant may also be obtained using these nilpotent variables, hence the structure of the four point functions can also be derived. This leads to non homogeneous hypergeometric functions. Also we consider LCFT's near a boundary. Constructing "superfields" using a nilpotent variable, we show that the superfield of conformal weight zero, composed of the identity and the pseudo identity is related to a superfield of conformal dimension two, which comprises of energy momentum tensor and its logarithmic partner. This device also allows us to derive the operator product expansion for logarithmic operators. Finally we discuss the AdS/LCFT correspondence and derive some correlation functions and a BRST symmetry.

13.660137

12.635536

14.608958

12.351341

13.443727

13.696637

12.133873

12.535865

13.145897

16.219608

12.670478

13.032994

14.556272

13.107745

12.82253

13.161339

12.78833

12.937825

13.384186

14.175161

12.661639

0709.4163

Ali Alavi

S. A. Alavi

On statistical mechanics in noncommutative spaces

9 pages, no figures

Prob.Atomic Sci.Technol.3:301-304,2007

null

hep-th

null

We study the formulation of quantum statistical mechanics in noncommutative spaces. We construct microcanonical and canonical ensemble theory in noncommutative spaces. We consider for illustration some basic and important examples in the framework of noncommutative statistical mechanics : (i). An electron in a magnetic field. (ii). A free particle in a box. (iii). A linear harmonic oscillator.

[ { "created": "Wed, 26 Sep 2007 13:58:05 GMT", "version": "v1" } ]

2009-06-10

[ [ "Alavi", "S. A.", "" ] ]

We study the formulation of quantum statistical mechanics in noncommutative spaces. We construct microcanonical and canonical ensemble theory in noncommutative spaces. We consider for illustration some basic and important examples in the framework of noncommutative statistical mechanics : (i). An electron in a magnetic field. (ii). A free particle in a box. (iii). A linear harmonic oscillator.

7.087946

6.581923

7.09525

6.345049

6.81558

6.880076

6.671629

6.697651

6.718965

7.192889

6.775284

6.482647

6.7693

6.628304

6.620378

6.582701

6.550192

6.553271

6.622208

7.116833

6.539104

1901.10492

Niklas Mueller

Niklas Mueller and Raju Venugopalan

Constructing phase space distributions with internal symmetries

13 pages, references added, typo corrected, accepted for publication in Phys. Rev. D

Phys. Rev. D 99, 056003 (2019)

10.1103/PhysRevD.99.056003

null

hep-th hep-ph nucl-th

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

We discuss an ab initio world-line approach to constructing phase space distributions in systems with internal symmetries. Starting from the Schwinger-Keldysh real time path integral in quantum field theory, we derive the most general extension of the Wigner phase space distribution to include color and spin degrees of freedom in terms of dynamical Grassmann variables. The corresponding Liouville distribution for colored particles, which obey Wong's equation, has only singlet and octet components, while higher moments are fully constrained by the Grassmann algebra. The extension of phase space dynamics to spin is represented by a generalization of the Pauli-Lubanski vector; its time evolution via the Bargmann-Michel-Telegdi equation also follows from the phase space trajectories of the underlying Grassmann coordinates. Our results for the Liouville phase space distribution in systems with both spin and color are of interest in fields as diverse as chiral fluids, finite temperature field theory and polarized parton distribution functions. We also comment on the role of the chiral anomaly in the phase space dynamics of spinning particles.

[ { "created": "Tue, 29 Jan 2019 19:00:03 GMT", "version": "v1" }, { "created": "Fri, 22 Feb 2019 16:11:10 GMT", "version": "v2" } ]

2019-03-13

[ [ "Mueller", "Niklas", "" ], [ "Venugopalan", "Raju", "" ] ]

We discuss an ab initio world-line approach to constructing phase space distributions in systems with internal symmetries. Starting from the Schwinger-Keldysh real time path integral in quantum field theory, we derive the most general extension of the Wigner phase space distribution to include color and spin degrees of freedom in terms of dynamical Grassmann variables. The corresponding Liouville distribution for colored particles, which obey Wong's equation, has only singlet and octet components, while higher moments are fully constrained by the Grassmann algebra. The extension of phase space dynamics to spin is represented by a generalization of the Pauli-Lubanski vector; its time evolution via the Bargmann-Michel-Telegdi equation also follows from the phase space trajectories of the underlying Grassmann coordinates. Our results for the Liouville phase space distribution in systems with both spin and color are of interest in fields as diverse as chiral fluids, finite temperature field theory and polarized parton distribution functions. We also comment on the role of the chiral anomaly in the phase space dynamics of spinning particles.

9.063455

10.085512

9.251673

8.897816

10.031545

9.105484

10.022717

9.423477

9.117477

10.33436

8.945308

9.044627

9.113463

8.98898

9.243381

9.187254

9.179746

8.985811

9.150965

9.14089

8.856928

hep-th/9903078

Marco M. Caldarelli

Marco M. Caldarelli and Dietmar Klemm

M-Theory and Stringy Corrections to Anti-de Sitter Black Holes and Conformal Field Theories

29 pages, revtex, 6 figures using epsfig, typos corrected, 1 reference added, final version to appear in Nucl. Phys. B

Nucl.Phys. B555 (1999) 157-182

10.1016/S0550-3213(99)00342-9

UTF 431

hep-th

null

We consider black holes in anti-de Sitter space AdS_{p+2} (p = 2,3,5), which have hyperbolic, flat or spherical event horizons. The $O(\alpha'^3)$ corrections (or the leading corrections in powers of the eleven-dimensional Planck length) to the black hole metrics are computed for the various topologies and dimensions. We investigate the consequences of the stringy or M-theory corrections for the black hole thermodynamics. In particular, we show the emergence of a stable branch of small spherical black holes. We obtain the corrected Hawking-Page transition temperature for black holes with spherical horizons, and show that for p=3 this phase transition disappears at a value of $\alpha'$ considerably smaller than that estimated previously by Gao and Li. Using the AdS/CFT correspondence, we determine the $S^1 x S^3$ N=4 SYM phase diagram for sufficiently large `t Hooft coupling, and show that the critical point at which the Hawking-Page transition disappears (the correspondence point of Horowitz-Polchinski), occurs at $g_{YM}^2N \approx 20.5$. The d=4 and d=7 black hole phase diagrams are also determined, and connection is made with the corresponding boundary CFTs. Finally, for flat and hyperbolic horizons, we show that the leading stringy or M-theory corrections do not give rise to any phase transition. For horizons compactified to a torus $T^p$ or to a quotient of hyperbolic space, $H^p/\Gamma$, we comment on the effects of light winding modes.

[ { "created": "Tue, 9 Mar 1999 20:43:15 GMT", "version": "v1" }, { "created": "Wed, 10 Mar 1999 18:29:51 GMT", "version": "v2" }, { "created": "Wed, 7 Jul 1999 17:14:50 GMT", "version": "v3" } ]

2009-10-31

[ [ "Caldarelli", "Marco M.", "" ], [ "Klemm", "Dietmar", "" ] ]

We consider black holes in anti-de Sitter space AdS_{p+2} (p = 2,3,5), which have hyperbolic, flat or spherical event horizons. The $O(\alpha'^3)$ corrections (or the leading corrections in powers of the eleven-dimensional Planck length) to the black hole metrics are computed for the various topologies and dimensions. We investigate the consequences of the stringy or M-theory corrections for the black hole thermodynamics. In particular, we show the emergence of a stable branch of small spherical black holes. We obtain the corrected Hawking-Page transition temperature for black holes with spherical horizons, and show that for p=3 this phase transition disappears at a value of $\alpha'$ considerably smaller than that estimated previously by Gao and Li. Using the AdS/CFT correspondence, we determine the $S^1 x S^3$ N=4 SYM phase diagram for sufficiently large `t Hooft coupling, and show that the critical point at which the Hawking-Page transition disappears (the correspondence point of Horowitz-Polchinski), occurs at $g_{YM}^2N \approx 20.5$. The d=4 and d=7 black hole phase diagrams are also determined, and connection is made with the corresponding boundary CFTs. Finally, for flat and hyperbolic horizons, we show that the leading stringy or M-theory corrections do not give rise to any phase transition. For horizons compactified to a torus $T^p$ or to a quotient of hyperbolic space, $H^p/\Gamma$, we comment on the effects of light winding modes.

6.709529

7.014661

6.989898

6.547778

6.94569

7.279841

7.149417

6.566154

6.855913

7.518255

6.492075

6.942693

6.841827

6.580849

6.772838

6.688106

6.788801

6.659401

6.684831

6.955852

6.618741

2007.00855

Chen-Te Ma

Chen-Te Ma and Chih-Hung Wu

Quantum Entanglement and Spectral Form Factor

21 pages, 8 figures, minor changes

null

hep-th

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

We replace a Hamiltonian with a modular Hamiltonian in the spectral form factor and the level spacing distribution function. This study establishes a connection between quantities within Quantum Entanglement and Quantum Chaos. To have a universal study for Quantum Entanglement, we consider the Gaussian random 2-qubit model. The maximum violation of Bell's inequality demonstrates a positive correlation with the entanglement entropy. Thus, the violation plays an equivalent role as Quantum Entanglement. We first provide an analytical estimation of the relation between quantum entanglement quantities and the dip when a subregion only has one qubit. The time of the first dip is monotone for entanglement entropy. The dynamics in a subregion is independent of the initial state at a late time. It is one of the signaling conditions for classical chaos. We also extend our analysis to the Gaussian random 3-qubit state, and it indicates a similar result. The simulation shows that the level spacing distribution function approaches GUE at a late time. In the end, we develop a technique within QFT to the spectral form factor for its relation to an $n$-sheet manifold. We apply the technology to a single interval in CFT$_2$ and the spherical entangling surface in $\mathcal{N}=4$ super Yang-Mills theory. The result is one for both cases, but the R\'enyi entropy can depend on the R\'enyi index. For the case of CFT$_2$, it indicates the difference between the continuum and discrete spectrum.

[ { "created": "Thu, 2 Jul 2020 03:40:28 GMT", "version": "v1" }, { "created": "Mon, 29 Nov 2021 05:18:19 GMT", "version": "v2" }, { "created": "Mon, 14 Nov 2022 00:02:48 GMT", "version": "v3" } ]

2022-11-15

[ [ "Ma", "Chen-Te", "" ], [ "Wu", "Chih-Hung", "" ] ]

We replace a Hamiltonian with a modular Hamiltonian in the spectral form factor and the level spacing distribution function. This study establishes a connection between quantities within Quantum Entanglement and Quantum Chaos. To have a universal study for Quantum Entanglement, we consider the Gaussian random 2-qubit model. The maximum violation of Bell's inequality demonstrates a positive correlation with the entanglement entropy. Thus, the violation plays an equivalent role as Quantum Entanglement. We first provide an analytical estimation of the relation between quantum entanglement quantities and the dip when a subregion only has one qubit. The time of the first dip is monotone for entanglement entropy. The dynamics in a subregion is independent of the initial state at a late time. It is one of the signaling conditions for classical chaos. We also extend our analysis to the Gaussian random 3-qubit state, and it indicates a similar result. The simulation shows that the level spacing distribution function approaches GUE at a late time. In the end, we develop a technique within QFT to the spectral form factor for its relation to an $n$-sheet manifold. We apply the technology to a single interval in CFT$_2$ and the spherical entangling surface in $\mathcal{N}=4$ super Yang-Mills theory. The result is one for both cases, but the R\'enyi entropy can depend on the R\'enyi index. For the case of CFT$_2$, it indicates the difference between the continuum and discrete spectrum.

12.780042

12.191421

14.535504

11.928491

13.332746

12.744976

11.748323

12.247151

11.734935

14.238909

11.739142

11.843386

12.710331

11.788635

12.075369

11.869143

11.905315

11.8458

11.867785

12.141253

11.705051

hep-th/0609016

Harikumar E

E. Harikumar, Amilcar R. Queiroz, P. Teotonio-Sobrinho

Index Theorem for the $q$-Deformed Fuzzy Sphere

15 pages, minor changes

J.Phys.A40:3671-3682,2007

10.1088/1751-8113/40/13/023

null

hep-th

null

We calculate the index of the Dirac operator defined on the q-deformed fuzzy sphere. The index of the Dirac operator is related to its net chiral zero modes and thus to the trace of the chirality operator. We show that for the q-deformed fuzzy sphere, a $\uq$ invariant trace of the chirality operator gives the q-dimension of the eigenspace of the zero modes of the Dirac operator. We also show that this q-dimension is related to the topological index of the spinorial field. We then introduce a q-deformed chirality operator and show that its $\uq$ invariant trace gives the topological invariant index of the Dirac operator. We also explain the construction and important role of the trace operation which is invariant under the $\uq$, which is the symmetry algebra of the q-deformed fuzzy sphere. We briefly discuss chiral symmetry of the spinorial action on q-deformed fuzzy sphere and the possible role of this deformed chiral operator in its evaluation using path integral methods.

[ { "created": "Sat, 2 Sep 2006 06:18:35 GMT", "version": "v1" }, { "created": "Wed, 4 Oct 2006 03:36:59 GMT", "version": "v2" } ]

2008-11-26

[ [ "Harikumar", "E.", "" ], [ "Queiroz", "Amilcar R.", "" ], [ "Teotonio-Sobrinho", "P.", "" ] ]

We calculate the index of the Dirac operator defined on the q-deformed fuzzy sphere. The index of the Dirac operator is related to its net chiral zero modes and thus to the trace of the chirality operator. We show that for the q-deformed fuzzy sphere, a $\uq$ invariant trace of the chirality operator gives the q-dimension of the eigenspace of the zero modes of the Dirac operator. We also show that this q-dimension is related to the topological index of the spinorial field. We then introduce a q-deformed chirality operator and show that its $\uq$ invariant trace gives the topological invariant index of the Dirac operator. We also explain the construction and important role of the trace operation which is invariant under the $\uq$, which is the symmetry algebra of the q-deformed fuzzy sphere. We briefly discuss chiral symmetry of the spinorial action on q-deformed fuzzy sphere and the possible role of this deformed chiral operator in its evaluation using path integral methods.

7.00928

6.882317

7.01019

6.53538

7.380044

7.075453

7.718685

6.593866

6.822517

8.017833

6.828557

6.965805

6.588496

6.759859

6.83185

7.10538

6.848902

6.799206

6.863931

6.685763

6.808163

1106.1602

Anastasia Doikou

Defects in the discrete non-linear Schrodinger model

18 pages, Latex. Comments and clarifications introduced. One reference added

Nucl.Phys.B854:153-165,2012

10.1016/j.nuclphysb.2011.08.015

null

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

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

The discrete non-linear Schrodinger (NLS) model in the presence of an integrable defect is examined. The problem is viewed from a purely algebraic point of view, starting from the fundamental algebraic relations that rule the model. The first charges in involution are explicitly constructed, as well as the corresponding Lax pairs. These lead to sets of difference equations, which include particular terms corresponding to the impurity point. A first glimpse regarding the corresponding continuum limit is also provided.

[ { "created": "Wed, 8 Jun 2011 17:33:38 GMT", "version": "v1" }, { "created": "Mon, 5 Sep 2011 11:36:18 GMT", "version": "v2" } ]

2011-10-20

[ [ "Doikou", "Anastasia", "" ] ]

The discrete non-linear Schrodinger (NLS) model in the presence of an integrable defect is examined. The problem is viewed from a purely algebraic point of view, starting from the fundamental algebraic relations that rule the model. The first charges in involution are explicitly constructed, as well as the corresponding Lax pairs. These lead to sets of difference equations, which include particular terms corresponding to the impurity point. A first glimpse regarding the corresponding continuum limit is also provided.

13.439443

11.329443

14.738657

11.642158

11.43979

12.370609

13.095261

10.990414

10.816307

14.204661

10.937098

11.957067

14.350079

13.020637

12.663584

11.774622

12.501825

12.30988

12.317161

14.017934

11.522775

hep-th/0306297

Alberto Iglesias

Alberto Iglesias and Zurab Kakushadze

A Novel Approach to the Cosmological Constant Problem

20 pages, revtex

Int.J.Mod.Phys. A19 (2004) 4621-4640

10.1142/S0217751X04019901

YITP-SB-06-33

hep-th

null

We propose a novel infinite-volume brane world scenario where we live on a non-inflating spherical 3-brane, whose radius is somewhat larger than the present Hubble size, embedded in higher dimensional bulk. Once we include higher curvature terms in the bulk, we find completely smooth solutions with the property that the 3-brane world-volume is non-inflating for a continuous range of positive values of the brane tension, that is, without fine-tuning. In particular, our solution, which is a near-BPS background with supersymmetry broken on the brane around TeV, is controlled by a single integration constant.

[ { "created": "Mon, 30 Jun 2003 17:37:43 GMT", "version": "v1" } ]

2009-11-10

[ [ "Iglesias", "Alberto", "" ], [ "Kakushadze", "Zurab", "" ] ]

We propose a novel infinite-volume brane world scenario where we live on a non-inflating spherical 3-brane, whose radius is somewhat larger than the present Hubble size, embedded in higher dimensional bulk. Once we include higher curvature terms in the bulk, we find completely smooth solutions with the property that the 3-brane world-volume is non-inflating for a continuous range of positive values of the brane tension, that is, without fine-tuning. In particular, our solution, which is a near-BPS background with supersymmetry broken on the brane around TeV, is controlled by a single integration constant.

11.724958

11.370206

11.97628

10.967453

11.797439

11.392033

11.28663

11.236914

10.985048

12.224924

11.187718

11.333433

11.020807

10.761411

10.673447

11.43018

11.141819

10.942199

11.006966

10.86412

10.748827

hep-th/9903126

Mauro Negrao

M. S. Goes-Negrao, M. R. Negrao, A. B. Penna-Firme

(2,0)-Super-Yang-Mills Coupled to Non-Linear Sigma-Model

18 pages, no figures, revised version

Int.J.Mod.Phys. A16 (2001) 189-200

10.1142/S0217751X01002804

null

hep-th

null

Considering a class of (2,0)-super-Yang-Mills multiplets that accommodate a pair of independent gauge potentials in connection with a single symmetry group, we present here their coupling to ordinary matter and to non-linear $\sigma$-models in (2,0)-superspace. The dynamics and the couplings of the gauge potentials are discussed and the interesting feature that comes out is a sort of ``chirality'' for one of the gauge potentials once light-cone coordinates are chosen.

[ { "created": "Mon, 15 Mar 1999 19:08:43 GMT", "version": "v1" }, { "created": "Mon, 3 May 1999 19:01:08 GMT", "version": "v2" }, { "created": "Thu, 15 Jul 1999 22:29:23 GMT", "version": "v3" }, { "created": "Mon, 19 Jul 1999 17:35:30 GMT", "version": "v4" }, { "created": "Tue, 25 Apr 2000 01:12:10 GMT", "version": "v5" } ]

2015-06-26

[ [ "Goes-Negrao", "M. S.", "" ], [ "Negrao", "M. R.", "" ], [ "Penna-Firme", "A. B.", "" ] ]

Considering a class of (2,0)-super-Yang-Mills multiplets that accommodate a pair of independent gauge potentials in connection with a single symmetry group, we present here their coupling to ordinary matter and to non-linear $\sigma$-models in (2,0)-superspace. The dynamics and the couplings of the gauge potentials are discussed and the interesting feature that comes out is a sort of ``chirality'' for one of the gauge potentials once light-cone coordinates are chosen.

12.249891

11.737581

12.665809

11.056547

10.685006

11.722767

10.281093

11.598652

10.519141

13.181832

10.172467

10.277615

11.200339

10.742624

10.485756

10.616733

10.824157

10.525678

10.677279

11.579537

10.40055

hep-th/9212075

Christof Schmidhuber

Christof Schmidhuber (Caltech)

Exactly Marginal Operators and Running Coupling Constants in 2D Gravity

22 pages, plain Tex, CALT-68-1817 (Some modifications but same results. Figures will be faxed upon request.)

Nucl.Phys. B404 (1993) 342-358

10.1016/0550-3213(93)90483-6

null

hep-th

null

The Liouville action for two--dimensional quantum gravity coupled to interacting matter contains terms that have not been considered previously. They are crucial for understanding the renormalization group flow and can be observed in recent matrix model results for the phase diagram of the Sine--Gordon model coupled to gravity. These terms insure, order by order in the coupling constant, that the dressed interaction is exactly marginal. They are discussed up to second order.

[ { "created": "Fri, 11 Dec 1992 07:12:41 GMT", "version": "v1" }, { "created": "Sat, 12 Dec 1992 07:59:55 GMT", "version": "v2" }, { "created": "Wed, 17 Feb 1993 04:37:33 GMT", "version": "v3" } ]

2009-10-22

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

The Liouville action for two--dimensional quantum gravity coupled to interacting matter contains terms that have not been considered previously. They are crucial for understanding the renormalization group flow and can be observed in recent matrix model results for the phase diagram of the Sine--Gordon model coupled to gravity. These terms insure, order by order in the coupling constant, that the dressed interaction is exactly marginal. They are discussed up to second order.

14.468663

11.559156

12.277291

11.245635

12.450324

11.228932

10.720401

11.56759

11.653872

11.996548

12.037519

11.3595

11.869843

11.460603

11.747873

11.790164

11.727276

11.348277

11.940989

12.066051

11.421367

hep-th/0305194

John McGreevy

John McGreevy, Joerg Teschner, and Herman Verlinde

Classical and Quantum D-branes in 2D String Theory

28 pages, 2 figures. v2: discussion of descent relation clarified, added refs

JHEP 0401 (2004) 039

10.1088/1126-6708/2004/01/039

PUPT-2087

hep-th

null

We investigate two classes of D-branes in 2-d string theory, corresponding to extended and localized branes, respectively. We compute the string emission during tachyon condensation and reinterpret the results within the $c=1$ matrix model. As in hep-th/0304224, we find that the extended branes describe classical eigenvalue trajectories, while, as found in hep-th/0305159, the localized branes correspond to the quantum field that creates and destroys eigenvalues. The matrix model relation between the classical probe and the local collective field precisely matches with the descent relation between the boundary states of D-strings and D-particles.

[ { "created": "Thu, 22 May 2003 19:50:22 GMT", "version": "v1" }, { "created": "Mon, 22 Dec 2003 22:09:09 GMT", "version": "v2" } ]

2009-11-10

[ [ "McGreevy", "John", "" ], [ "Teschner", "Joerg", "" ], [ "Verlinde", "Herman", "" ] ]

We investigate two classes of D-branes in 2-d string theory, corresponding to extended and localized branes, respectively. We compute the string emission during tachyon condensation and reinterpret the results within the $c=1$ matrix model. As in hep-th/0304224, we find that the extended branes describe classical eigenvalue trajectories, while, as found in hep-th/0305159, the localized branes correspond to the quantum field that creates and destroys eigenvalues. The matrix model relation between the classical probe and the local collective field precisely matches with the descent relation between the boundary states of D-strings and D-particles.

12.355594

11.781349

14.94811

10.736126

11.700416

11.93176

11.017915

10.690372

11.136551

14.512017

10.625739

11.77285

12.633637

11.431019

11.673919

11.585231

11.46036

11.719153

12.007914

13.068042

11.762483

1701.06572

Gokce Basar

Gokce Basar, Gerald V. Dunne, and Mithat Unsal

Quantum Geometry of Resurgent Perturbative/Nonperturbative Relations

50 pages, 3 figures

null

10.1007/JHEP05(2017)087

null

hep-th

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

For a wide variety of quantum potentials, including the textbook `instanton' examples of the periodic cosine and symmetric double-well potentials, the perturbative data coming from fluctuations about the vacuum saddle encodes all non-perturbative data in all higher non-perturbative sectors. Here we unify these examples in geometric terms, arguing that the all-orders quantum action determines the all-orders quantum dual action for quantum spectral problems associated with a classical genus one elliptic curve. Furthermore, for a special class of genus one potentials this relation is particularly simple: this class includes the cubic oscillator, symmetric double-well, symmetric degenerate triple-well, and periodic cosine potential. These are related to the Chebyshev potentials, which are in turn related to certain ${\mathcal N}=2$ supersymmetric quantum field theories, to mirror maps for hypersurfaces in projective spaces, and also to topological $c=3$ Landau-Ginzburg models and `special geometry'. These systems inherit a natural modular structure corresponding to Ramanujan's theory of elliptic functions in alternative bases, which is especially important for the quantization. Insights from supersymmetric quantum field theory suggest similar structures for more complicated potentials, corresponding to higher genus. Our approach is very elementary, using basic classical geometry combined with all-orders WKB.

[ { "created": "Mon, 23 Jan 2017 19:00:02 GMT", "version": "v1" } ]

2017-06-23

[ [ "Basar", "Gokce", "" ], [ "Dunne", "Gerald V.", "" ], [ "Unsal", "Mithat", "" ] ]

For a wide variety of quantum potentials, including the textbook `instanton' examples of the periodic cosine and symmetric double-well potentials, the perturbative data coming from fluctuations about the vacuum saddle encodes all non-perturbative data in all higher non-perturbative sectors. Here we unify these examples in geometric terms, arguing that the all-orders quantum action determines the all-orders quantum dual action for quantum spectral problems associated with a classical genus one elliptic curve. Furthermore, for a special class of genus one potentials this relation is particularly simple: this class includes the cubic oscillator, symmetric double-well, symmetric degenerate triple-well, and periodic cosine potential. These are related to the Chebyshev potentials, which are in turn related to certain ${\mathcal N}=2$ supersymmetric quantum field theories, to mirror maps for hypersurfaces in projective spaces, and also to topological $c=3$ Landau-Ginzburg models and `special geometry'. These systems inherit a natural modular structure corresponding to Ramanujan's theory of elliptic functions in alternative bases, which is especially important for the quantization. Insights from supersymmetric quantum field theory suggest similar structures for more complicated potentials, corresponding to higher genus. Our approach is very elementary, using basic classical geometry combined with all-orders WKB.

13.414476

15.024515

17.306705

14.419996

13.680583

15.034971

15.194708

14.766842

14.312521

16.44783

14.072383

13.672435

13.41503

13.38513

13.308843

13.150797

13.313061

13.252562

12.926133

13.742454

13.013557

1604.01556

Elena Melkumova

D.V.Gal'tsov, E.Yu.Melkumova and P.Spirin

Domain Walls: Momentum Conservation in Absence of Asymptotic States

6 pages, ws-procs975x65 style, to be published as Proceeding of the 14th Marcel Grossmann Meeting, Rome, 12-18 July, 2015

null

hep-th

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

Gravitational potentials of the domain walls in the linearized gravity are growing with distance, so the particle scattering by the wall can not be described in terms of free asymptotic states. In the non-relativistic case this problem is solved using the concept of the potential energy. We show that in the relativistic case one is able to introduce gravitationally dressed momenta the sum of which is conserved up to the momentum flux through the lateral surface of the world tube describing losses due to excitation of the branon waves.

[ { "created": "Wed, 6 Apr 2016 09:40:30 GMT", "version": "v1" } ]

2016-04-07

[ [ "Gal'tsov", "D. V.", "" ], [ "Melkumova", "E. Yu.", "" ], [ "Spirin", "P.", "" ] ]

Gravitational potentials of the domain walls in the linearized gravity are growing with distance, so the particle scattering by the wall can not be described in terms of free asymptotic states. In the non-relativistic case this problem is solved using the concept of the potential energy. We show that in the relativistic case one is able to introduce gravitationally dressed momenta the sum of which is conserved up to the momentum flux through the lateral surface of the world tube describing losses due to excitation of the branon waves.

16.105007

17.051947

15.300594

14.257126

17.157867

16.347282

17.542665

15.082209

14.972881

16.501627

14.080282

14.343553

15.031097

14.684799

14.827974

14.538628

14.76221

14.990434

14.710516

15.504663

14.04884

1004.3772

Alexander Zhidenko

R. A. Konoplya and A. Zhidenko

Long life of Gauss-Bonnet corrected black holes

13 pages, 14 figures

Phys.Rev.D82:084003,2010

10.1103/PhysRevD.82.084003

null

hep-th astro-ph.HE gr-qc

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

Dictated by the string theory and various higher dimensional scenarios, black holes in $D>4$-dimensional space-times must have higher curvature corrections. The first and dominant term is quadratic in curvature, and called the Gauss-Bonnet (GB) term. We shall show that although the Gauss-Bonnet correction changes black hole's geometry only softly, the emission of gravitons is suppressed by many orders even at quite small values of the GB coupling. The huge suppression of the graviton emission is due to the multiplication of the two effects: the quick cooling of the black hole when one turns on the GB coupling and the exponential decreasing of the grey-body factor of the tensor type of gravitons at small and moderate energies. At higher $D$ the tensor gravitons emission is dominant, so that the overall lifetime of black holes with Gauss-Bonnet corrections is many orders larger than was expected. This effect should be relevant for the future experiments at the Large Hadron Collider (LHC). Keywords: Hawking radiation, black hole evaporation.

[ { "created": "Wed, 21 Apr 2010 18:53:06 GMT", "version": "v1" }, { "created": "Fri, 23 Apr 2010 13:40:44 GMT", "version": "v2" }, { "created": "Wed, 28 Apr 2010 20:08:56 GMT", "version": "v3" }, { "created": "Wed, 1 Sep 2010 22:19:31 GMT", "version": "v4" }, { "created": "Mon, 11 Oct 2010 02:56:07 GMT", "version": "v5" }, { "created": "Wed, 14 Dec 2011 01:55:46 GMT", "version": "v6" } ]

2011-12-15

[ [ "Konoplya", "R. A.", "" ], [ "Zhidenko", "A.", "" ] ]

Dictated by the string theory and various higher dimensional scenarios, black holes in $D>4$-dimensional space-times must have higher curvature corrections. The first and dominant term is quadratic in curvature, and called the Gauss-Bonnet (GB) term. We shall show that although the Gauss-Bonnet correction changes black hole's geometry only softly, the emission of gravitons is suppressed by many orders even at quite small values of the GB coupling. The huge suppression of the graviton emission is due to the multiplication of the two effects: the quick cooling of the black hole when one turns on the GB coupling and the exponential decreasing of the grey-body factor of the tensor type of gravitons at small and moderate energies. At higher $D$ the tensor gravitons emission is dominant, so that the overall lifetime of black holes with Gauss-Bonnet corrections is many orders larger than was expected. This effect should be relevant for the future experiments at the Large Hadron Collider (LHC). Keywords: Hawking radiation, black hole evaporation.

10.186382

12.039886

10.898606

10.658913

11.461224

10.985576

11.131032

10.474707

10.266322

11.758659

10.546436

10.000852

9.969339

9.749523

9.905336

9.758481

9.809602

9.834548

9.803726

9.464293

9.986851

hep-th/0402090

Arjan Keurentjes

E_11: Sign of the times

20 pages, LaTeX, 1 figure; v2. typo's corrected, references added

Nucl.Phys. B697 (2004) 302-318

10.1016/j.nuclphysb.2004.06.058

null

hep-th

null

We discuss the signature of space-time in the context of the E_11 -conjecture. In this setting, the space-time signature depends on the choice of basis for the ``gravitational sub-algebra'' A_10, and Weyl transformations connect interpretations with different signatures of space-time. Also the sign of the 4-form gauge field term in the Lagrangian enters as an adjustable sign in a generalized signature. Within E_11, the combination of space-time signature (1,10) with conventional sign for the 4-form term, appropriate to M-theory, can be transformed to the signatures (2,9) and (5,6) of Hull's M*- and M'-theories (as well as (6,5), (9,2) and (10,1)). Theories with other signatures organize in orbits disconnected from these theories. We argue that when taking E_11 seriously as a symmetry algebra, one cannot discard theories with multiple time-directions as unphysical. We also briefly explore links with the SL(32,R) conjecture.

[ { "created": "Thu, 12 Feb 2004 11:33:09 GMT", "version": "v1" }, { "created": "Wed, 10 Mar 2004 18:32:20 GMT", "version": "v2" } ]

2009-11-10

[ [ "Keurentjes", "Arjan", "" ] ]

We discuss the signature of space-time in the context of the E_11 -conjecture. In this setting, the space-time signature depends on the choice of basis for the ``gravitational sub-algebra'' A_10, and Weyl transformations connect interpretations with different signatures of space-time. Also the sign of the 4-form gauge field term in the Lagrangian enters as an adjustable sign in a generalized signature. Within E_11, the combination of space-time signature (1,10) with conventional sign for the 4-form term, appropriate to M-theory, can be transformed to the signatures (2,9) and (5,6) of Hull's M*- and M'-theories (as well as (6,5), (9,2) and (10,1)). Theories with other signatures organize in orbits disconnected from these theories. We argue that when taking E_11 seriously as a symmetry algebra, one cannot discard theories with multiple time-directions as unphysical. We also briefly explore links with the SL(32,R) conjecture.

11.764441

11.883247

13.012716

11.673072

12.48869

13.070067

12.514335

11.922287

12.449443

14.950426

11.649854

11.27631

12.120261

11.774108

12.313074

11.275484

11.66026

11.291232

11.375133

12.33137

11.222957

hep-th/0309152

Takashi Torii

Kei-ichi Maeda, and Takashi Torii

Covariant Gravitational Equations on Brane World with Gauss-Bonnet term

14 pages, no figure

Phys.Rev. D69 (2004) 024002

10.1103/PhysRevD.69.024002

WU-AP/173/03

hep-th gr-qc

null

We present the covariant gravitational equations to describe a four-dimensional brane world in the case with the Gauss-Bonnet term in a bulk spacetime, assuming that gravity is confined on the $Z_2$ symmetric brane. It contains some components of five-dimensional Weyl curvature ($E_{\mu\nu}$) which describes all effects from the bulk spacetime just as in the case of the Randall-Sundrum second model. Applying this formalism to cosmology, we derive the generalized Friedmann equation and calculate the Weyl curvature term, which is directly obtained from a black hole solution.

[ { "created": "Tue, 16 Sep 2003 03:56:49 GMT", "version": "v1" } ]

2009-11-10

[ [ "Maeda", "Kei-ichi", "" ], [ "Torii", "Takashi", "" ] ]

We present the covariant gravitational equations to describe a four-dimensional brane world in the case with the Gauss-Bonnet term in a bulk spacetime, assuming that gravity is confined on the $Z_2$ symmetric brane. It contains some components of five-dimensional Weyl curvature ($E_{\mu\nu}$) which describes all effects from the bulk spacetime just as in the case of the Randall-Sundrum second model. Applying this formalism to cosmology, we derive the generalized Friedmann equation and calculate the Weyl curvature term, which is directly obtained from a black hole solution.

9.978868

9.860994

8.734783

8.273324

9.062391

9.166447

9.196837

8.565219

9.311726

9.116097

9.879456

9.475594

9.391168

9.24161

9.114109

9.277318

9.303936

9.008008

9.66746

9.799908

9.404228

1912.05865

Nina Javerzat

Nina Javerzat, Marco Picco, Raoul Santachiara

Three- and four-point connectivities of two-dimensional critical $Q-$ Potts random clusters on the torus

30 pages, 9 figures. Figure captions have been added, the notation in section 3.2 has been slightly changed, and typos in equations (4.21) and (5.3) have been corrected

null

10.1088/1742-5468/ab7c5e

null

hep-th cond-mat.stat-mech

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

In a recent paper, we considered the effects of the torus lattice topology on the two-point connectivity of $Q-$ Potts clusters. These effects are universal and probe non-trivial structure constants of the theory. We complete here this work by considering the torus corrections to the three- and four-point connectivities. These corrections, which depend on the scale invariant ratios of the triangle and quadrilateral formed by the three and four given points, test other non-trivial structure constants. We also present results of Monte Carlo simulations in good agreement with our predictions.

[ { "created": "Thu, 12 Dec 2019 10:20:27 GMT", "version": "v1" }, { "created": "Wed, 8 Apr 2020 15:40:04 GMT", "version": "v2" } ]

2020-06-24

[ [ "Javerzat", "Nina", "" ], [ "Picco", "Marco", "" ], [ "Santachiara", "Raoul", "" ] ]

In a recent paper, we considered the effects of the torus lattice topology on the two-point connectivity of $Q-$ Potts clusters. These effects are universal and probe non-trivial structure constants of the theory. We complete here this work by considering the torus corrections to the three- and four-point connectivities. These corrections, which depend on the scale invariant ratios of the triangle and quadrilateral formed by the three and four given points, test other non-trivial structure constants. We also present results of Monte Carlo simulations in good agreement with our predictions.

11.155646

12.312369

12.031019

12.344611

12.18148

13.666829

11.757358

11.298802

11.351113

14.54051

11.118216

11.020539

11.647782

10.587336

10.821526

10.820541

10.214484

10.864017

10.485114

11.226289

10.842472

1403.8087

Aleksandra Anokhina

A.Anokhina and A.Morozov

Towards R-matrix construction of Khovanov-Rozansky polynomials. I. Primary $T$-deformation of HOMFLY

146 pages; some points clarified, some typos corrected

JHEP07(2014)063

10.1007/JHEP07(2014)063

ITEP/TH-07/14

hep-th

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

We elaborate on the simple alternative from arXiv:1308.5759 to the matrix-factorization construction of Khovanov-Rozansky (KR) polynomials for arbitrary knots and links in the fundamental representation of arbitrary SL(N). Construction consists of 2 steps: first, with every link diagram with m vertices one associates an m-dimensional hypercube with certain q-graded vector spaces, associated to its 2^m vertices. A generating function for q-dimensions of these spaces is what we suggest to call the primary T-deformation of HOMFLY polynomial -- because, as we demonstrate, it can be explicitly reduced to calculations of ordinary HOMFLY polynomials, i.e. to manipulations with quantum R-matrices. The second step is a certain minimization of residues of this new polynomial with respect to T+1. Minimization is ambiguous and is actually specified by the choice of commuting cut-and-join morphisms, acting along the edges of the hypercube -- this promotes it to Abelian quiver, and KR polynomial is a Poincare polynomial of associated complex, just in the original Khovanov's construction at N=2. This second step is still somewhat sophisticated -- though incomparably simpler than its conventional matrix-factorization counterpart. In this paper we concentrate on the first step, and provide just a mnemonic treatment of the second step. Still, this is enough to demonstrate that all the currently known examples of KR polynomials in the fundamental representation can be easily reproduced in this new approach. As additional bonus we get a simple description of the DGR relation between KR polynomials and superpolynomials and demonstrate that the difference between reduced and unreduced cases, which looks essential at KR level, practically disappears after transition to superpolynomials. However, a careful derivation of all these results from cohomologies of cut-and-join morphisms remains for further studies.

[ { "created": "Mon, 31 Mar 2014 16:58:33 GMT", "version": "v1" }, { "created": "Tue, 24 Jun 2014 17:01:40 GMT", "version": "v2" } ]

2014-10-14

[ [ "Anokhina", "A.", "" ], [ "Morozov", "A.", "" ] ]

We elaborate on the simple alternative from arXiv:1308.5759 to the matrix-factorization construction of Khovanov-Rozansky (KR) polynomials for arbitrary knots and links in the fundamental representation of arbitrary SL(N). Construction consists of 2 steps: first, with every link diagram with m vertices one associates an m-dimensional hypercube with certain q-graded vector spaces, associated to its 2^m vertices. A generating function for q-dimensions of these spaces is what we suggest to call the primary T-deformation of HOMFLY polynomial -- because, as we demonstrate, it can be explicitly reduced to calculations of ordinary HOMFLY polynomials, i.e. to manipulations with quantum R-matrices. The second step is a certain minimization of residues of this new polynomial with respect to T+1. Minimization is ambiguous and is actually specified by the choice of commuting cut-and-join morphisms, acting along the edges of the hypercube -- this promotes it to Abelian quiver, and KR polynomial is a Poincare polynomial of associated complex, just in the original Khovanov's construction at N=2. This second step is still somewhat sophisticated -- though incomparably simpler than its conventional matrix-factorization counterpart. In this paper we concentrate on the first step, and provide just a mnemonic treatment of the second step. Still, this is enough to demonstrate that all the currently known examples of KR polynomials in the fundamental representation can be easily reproduced in this new approach. As additional bonus we get a simple description of the DGR relation between KR polynomials and superpolynomials and demonstrate that the difference between reduced and unreduced cases, which looks essential at KR level, practically disappears after transition to superpolynomials. However, a careful derivation of all these results from cohomologies of cut-and-join morphisms remains for further studies.

13.435556

13.744322

16.254097

13.262923

14.423124

14.147138

14.160112

13.792546

13.460072

16.151894

13.306756

13.052719

13.216266

12.661712

13.248919

12.955494

12.849862

13.062628

13.14769

13.639566

12.795274

1009.4915

Francisco A. Brito

F.A. Brito and E. Passos

Spectral dimension of Horava-Snyder spacetime and the $AdS_2\times S^2$ momentum space

5 pages, revtex, 1 figure, version to appear in EPL

null

10.1209/0295-5075/99/60003

null

hep-th gr-qc hep-ph

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

We show that the UV-regime at the Lifshitz point $z=3$ is equivalent to work with a momenta manifold whose topology is the same as that of an $AdS_2\times S^2$ space. According to Snyder's theory, curved momentum space is related to non-commutative quantized spacetime. In this sense, our analysis suggests an equivalence between Horava-Lifshitz and Snyder's theory.

[ { "created": "Fri, 24 Sep 2010 19:35:06 GMT", "version": "v1" }, { "created": "Tue, 28 Aug 2012 19:36:42 GMT", "version": "v2" } ]

2015-05-20

[ [ "Brito", "F. A.", "" ], [ "Passos", "E.", "" ] ]

We show that the UV-regime at the Lifshitz point $z=3$ is equivalent to work with a momenta manifold whose topology is the same as that of an $AdS_2\times S^2$ space. According to Snyder's theory, curved momentum space is related to non-commutative quantized spacetime. In this sense, our analysis suggests an equivalence between Horava-Lifshitz and Snyder's theory.

11.704031

11.222795

11.042846

10.529757

10.284637

11.121962

11.376471

10.415419

10.128808

11.31452

10.704918

10.716579

10.673326

10.942029

11.18829

10.916853

11.17423

10.499863

10.515737

10.688759

10.464664

2207.06435

Stefano Baiguera

Stefano Baiguera, Lorenzo Cederle and Silvia Penati

Supersymmetric Galilean Electrodynamics

38+18 pages, 12 figures; v2: reference added

JHEP 09 (2022) 237

10.1007/JHEP09(2022)237

null

hep-th

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

In 2+1 dimensions, we propose a renormalizable non-linear sigma model action which describes the $\mathcal{N}=2$ supersymmetric generalization of Galilean Electrodynamics. We first start with the simplest model obtained by null reduction of the relativistic Abelian $\mathcal{N}=1$ supersymmetric QED in 3+1 dimensions and study its renormalization properties directly in non-relativistic superspace. Despite the existence of a non-renormalization theorem induced by the causal structure of the non-relativistic dynamics, we find that the theory is non-renormalizable. Infinite dimensionless, supersymmetric and gauge-invariant terms, which combine into an analytic function, are generated at quantum level. Renormalizability is then restored by generalizing the theory to a non-linear sigma model where the usual minimal coupling between gauge and matter is complemented by infinitely many marginal couplings driven by a dimensionless gauge scalar and its fermionic superpartner. Superconformal invariance is preserved in correspondence of a non-trivial conformal manifold of fixed points where the theory is gauge-invariant and interacting.

[ { "created": "Wed, 13 Jul 2022 18:00:03 GMT", "version": "v1" }, { "created": "Sat, 1 Oct 2022 12:16:14 GMT", "version": "v2" } ]

2022-10-19

[ [ "Baiguera", "Stefano", "" ], [ "Cederle", "Lorenzo", "" ], [ "Penati", "Silvia", "" ] ]

In 2+1 dimensions, we propose a renormalizable non-linear sigma model action which describes the $\mathcal{N}=2$ supersymmetric generalization of Galilean Electrodynamics. We first start with the simplest model obtained by null reduction of the relativistic Abelian $\mathcal{N}=1$ supersymmetric QED in 3+1 dimensions and study its renormalization properties directly in non-relativistic superspace. Despite the existence of a non-renormalization theorem induced by the causal structure of the non-relativistic dynamics, we find that the theory is non-renormalizable. Infinite dimensionless, supersymmetric and gauge-invariant terms, which combine into an analytic function, are generated at quantum level. Renormalizability is then restored by generalizing the theory to a non-linear sigma model where the usual minimal coupling between gauge and matter is complemented by infinitely many marginal couplings driven by a dimensionless gauge scalar and its fermionic superpartner. Superconformal invariance is preserved in correspondence of a non-trivial conformal manifold of fixed points where the theory is gauge-invariant and interacting.

8.737939

8.434581

9.598103

8.34804

9.243813

8.506

8.866138

8.379653

8.029057

10.337204

8.049459

8.525716

8.583822

8.294771

8.238074

8.367996

8.282065

8.344287

8.174771

8.787121

8.329157

1708.01779

Yan-Gang Miao

Yan-Gang Miao, Long Zhao

Complexity/Action duality of shock wave geometry in a massive gravity theory

v1: 19 pages, 2 figures; v2: clarifications added, the final version to appear in Physical Review D

Phys. Rev. D 97, 024035 (2018)

10.1103/PhysRevD.97.024035

null

hep-th gr-qc

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

On the holographic complexity dual to the bulk action, we investigate the action growth for a shock wave geometry in a massive gravity theory within the Wheeler-De Witt (WDW) patch at the late time limit. For a global shock wave, the graviton mass does not affect the action growth in the bulk, i.e. the complexity on the boundary, showing that the action growth (complexity) is the same for both the Einstein gravity and the massive gravity. Nevertheless, for a local shock wave that depends on transverse coordinates, the action growth (complexity) is proportional to the butterfly velocity for the two gravity theories, but the butterfly velocity of the massive gravity theory is smaller than that of the Einstein gravity theory, indicating that the action growth (complexity) of the massive gravity is depressed by the graviton mass. In addition, we extend the black hole thermodynamics of the massive gravity and obtain the right Smarr formula.

[ { "created": "Sat, 5 Aug 2017 15:24:03 GMT", "version": "v1" }, { "created": "Sat, 30 Dec 2017 07:37:04 GMT", "version": "v2" } ]

2018-02-13

[ [ "Miao", "Yan-Gang", "" ], [ "Zhao", "Long", "" ] ]

On the holographic complexity dual to the bulk action, we investigate the action growth for a shock wave geometry in a massive gravity theory within the Wheeler-De Witt (WDW) patch at the late time limit. For a global shock wave, the graviton mass does not affect the action growth in the bulk, i.e. the complexity on the boundary, showing that the action growth (complexity) is the same for both the Einstein gravity and the massive gravity. Nevertheless, for a local shock wave that depends on transverse coordinates, the action growth (complexity) is proportional to the butterfly velocity for the two gravity theories, but the butterfly velocity of the massive gravity theory is smaller than that of the Einstein gravity theory, indicating that the action growth (complexity) of the massive gravity is depressed by the graviton mass. In addition, we extend the black hole thermodynamics of the massive gravity and obtain the right Smarr formula.

6.723229

5.869487

6.741208

5.894003

6.09155

5.957756

6.010145

6.441177

5.991118

6.880617

6.153596

5.823375

6.16866

6.064363

5.99517

5.904796

6.041262

5.946424

6.010945

6.412819

6.009118

1007.0191

Vladimir Zhukovsky

D. Ebert, V.Ch. Zhukovsky, and A.V. Tyukov

Dynamical Fermion Masses Under the Influence of Kaluza-Klein Fermions and a Bulk Abelian Gauge Field

9 pages, 4 figures

Mod.Phys.Lett.A25:2933-2945,2010

10.1142/S0217732310034249

HU-EP-10/31

hep-th

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

The dynamical fermion mass generation on a 3-brane in the 5D space-time is discussed in a model with bulk fermions in interaction with fermions on the brane assuming the presence of a constant abelian gauge field component $A_5$ in the bulk. We calculate the effective potential as a function of the fermion masses and the gauge field component $A_5$. The masses can be found from the stationarity condition for the effective potential (the gap equation). We formulate the equation for the mass spectrum of the 4D--fermions. The phases with finite and vanishing fermion masses are studied and the dependence of the masses on the radius of the 5th dimension is analyzed. The influence of the $A_5$-component of the gauge field on the symmetry breaking is considered both when this field is a background parameter and a dynamical variable. The critical values of the $A_5$ field, the coupling constant and the radius are examined.

[ { "created": "Thu, 1 Jul 2010 15:08:07 GMT", "version": "v1" } ]

2010-11-03

[ [ "Ebert", "D.", "" ], [ "Zhukovsky", "V. Ch.", "" ], [ "Tyukov", "A. V.", "" ] ]

The dynamical fermion mass generation on a 3-brane in the 5D space-time is discussed in a model with bulk fermions in interaction with fermions on the brane assuming the presence of a constant abelian gauge field component $A_5$ in the bulk. We calculate the effective potential as a function of the fermion masses and the gauge field component $A_5$. The masses can be found from the stationarity condition for the effective potential (the gap equation). We formulate the equation for the mass spectrum of the 4D--fermions. The phases with finite and vanishing fermion masses are studied and the dependence of the masses on the radius of the 5th dimension is analyzed. The influence of the $A_5$-component of the gauge field on the symmetry breaking is considered both when this field is a background parameter and a dynamical variable. The critical values of the $A_5$ field, the coupling constant and the radius are examined.

6.435681

5.621422

5.55017

5.65561

6.038134

6.298894

5.938661

5.950745

5.515462

5.731808

5.671842

5.86977

6.004189

5.89597

6.011325

6.031801

5.991151

6.045283

5.961334

5.846271

5.915765

1505.07353

Anna Kotanjyan

A. S. Kotanjyan, A. A. Saharian, H. A. Nersisyan

Electromagnetic Casimir effect for conducting plates in de Sitter spacetime

14 pages, 1 figure

Phys. Scr. 90 (2015) 065304

10.1088/0031-8949/90/6/065304

null

hep-th astro-ph.CO quant-ph

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

Two-point functions, the mean field squared and the vacuum expectation value (VEV) of the energy-momentum tensor are investigated for the electromagnetic field in the geometry of parallel plates on background of $(D+1)$% -dimensional dS spacetime. We assume that the field is prepared in the Bunch-Davies vacuum state and on the plates a boundary condition is imposed that is a generalization of the perfectly conducting boundary condition for an arbitrary number of spatial dimensions. It is shown that for $D\geq 4$ the background gravitational field essentially changes the behavior of the VEVs at separations between the plates larger than the curvature radius of dS spacetime. At large separations, the Casimir forces are proportional to the inverse fourth power of the distance for all values of spatial dimension $D\geq 3$. For $D\geq 4$ this behavior is in sharp contrast with the case of plates in Minkowski bulk where the force decays as the inverse $(D+1)$th power of the distance.

[ { "created": "Wed, 27 May 2015 14:45:13 GMT", "version": "v1" } ]

2015-05-28

[ [ "Kotanjyan", "A. S.", "" ], [ "Saharian", "A. A.", "" ], [ "Nersisyan", "H. A.", "" ] ]

Two-point functions, the mean field squared and the vacuum expectation value (VEV) of the energy-momentum tensor are investigated for the electromagnetic field in the geometry of parallel plates on background of $(D+1)$% -dimensional dS spacetime. We assume that the field is prepared in the Bunch-Davies vacuum state and on the plates a boundary condition is imposed that is a generalization of the perfectly conducting boundary condition for an arbitrary number of spatial dimensions. It is shown that for $D\geq 4$ the background gravitational field essentially changes the behavior of the VEVs at separations between the plates larger than the curvature radius of dS spacetime. At large separations, the Casimir forces are proportional to the inverse fourth power of the distance for all values of spatial dimension $D\geq 3$. For $D\geq 4$ this behavior is in sharp contrast with the case of plates in Minkowski bulk where the force decays as the inverse $(D+1)$th power of the distance.

5.502302

3.90484

5.930592

4.276335

4.132872

4.499409

4.143036

4.016612

4.017058

6.015143

4.207103

4.683106

5.378351

4.930149

4.796167

4.745174

4.72937

4.794388

4.831377

5.352363

4.810093

hep-th/0607236

Matteo Beccaria

Matteo Beccaria, Luigi Del Debbio

Bethe Ansatz solutions for highest states in ${\cal N}=4$ SYM and AdS/CFT duality

42 pages, JHEP style LaTeX

JHEP 0609:025,2006

10.1088/1126-6708/2006/09/025

null

hep-th

null

We consider the operators with highest anomalous dimension $\Delta$ in the compact rank-one sectors $\mathfrak{su}(1|1)$ and $\mathfrak{su}(2)$ of ${\cal N}=4$ super Yang-Mills. We study the flow of $\Delta$ from weak to strong 't Hooft coupling $\lambda$ by solving (i) the all-loop gauge Bethe Ansatz, (ii) the quantum string Bethe Ansatz. The two calculations are carefully compared in the strong coupling limit and exhibit different exponents $\nu$ in the leading order expansion $\Delta\sim \lambda^{\nu}$. We find $\nu = 1/2$ and $\nu = 1/4$ for the gauge or string solution. This strong coupling discrepancy is not unexpected, and it provides an explicit example where the gauge Bethe Ansatz solution cannot be trusted at large $\lambda$. Instead, the string solution perfectly reproduces the Gubser-Klebanov-Polyakov law $\Delta = 2\sqrt{n} \lambda^{1/4}$. In particular, we provide an analytic expression for the integer level $n$ as a function of the U(1) charge in both sectors.

[ { "created": "Fri, 28 Jul 2006 11:11:21 GMT", "version": "v1" } ]

2010-02-03

[ [ "Beccaria", "Matteo", "" ], [ "Del Debbio", "Luigi", "" ] ]

We consider the operators with highest anomalous dimension $\Delta$ in the compact rank-one sectors $\mathfrak{su}(1|1)$ and $\mathfrak{su}(2)$ of ${\cal N}=4$ super Yang-Mills. We study the flow of $\Delta$ from weak to strong 't Hooft coupling $\lambda$ by solving (i) the all-loop gauge Bethe Ansatz, (ii) the quantum string Bethe Ansatz. The two calculations are carefully compared in the strong coupling limit and exhibit different exponents $\nu$ in the leading order expansion $\Delta\sim \lambda^{\nu}$. We find $\nu = 1/2$ and $\nu = 1/4$ for the gauge or string solution. This strong coupling discrepancy is not unexpected, and it provides an explicit example where the gauge Bethe Ansatz solution cannot be trusted at large $\lambda$. Instead, the string solution perfectly reproduces the Gubser-Klebanov-Polyakov law $\Delta = 2\sqrt{n} \lambda^{1/4}$. In particular, we provide an analytic expression for the integer level $n$ as a function of the U(1) charge in both sectors.

6.117506

5.888708

7.034518

5.836674

5.667877

5.899224

5.601334

6.050684

6.013037

7.131916

5.55105

5.822952

6.267323

5.673942

5.867126

5.84797

5.799451

5.695008

5.805069

6.531197

5.735348

2007.01551

Taegyu Kim

Taegyu Kim and Phillial Oh

A Vanishingly Small Vector Mass from Anisotropy of Higher Dimensional Spacetime

References are added

null

10.3938/jkps.77.463

null

hep-th gr-qc

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

We consider five-dimensional massive vector-gravity theory which is based on the foliation preserving diffeomorphism and anisotropic conformal invariance. It does not have an intrinsic scale and the only relevant parameter is the anisotropic factor $z$ which characterizes the degree of anisotropy between the four-dimensional spacetime and the extra dimension. We assume that physical scale $M_*$ emerges as a consequence of spontaneous conformal symmetry breaking of vacuum solution. It is demonstrated that a very small mass for the vector particle compared to $M_*$ can be achieved with a relatively mild adjustment of the parameter $z$. At the same time, it is also observed that the motion along the extra dimension can be highly suppressed and the five-dimensional theory can be effectively reduced to four-dimensional spacetime.

[ { "created": "Fri, 3 Jul 2020 08:32:19 GMT", "version": "v1" }, { "created": "Tue, 21 Jul 2020 04:56:35 GMT", "version": "v2" } ]

2020-10-28

[ [ "Kim", "Taegyu", "" ], [ "Oh", "Phillial", "" ] ]

We consider five-dimensional massive vector-gravity theory which is based on the foliation preserving diffeomorphism and anisotropic conformal invariance. It does not have an intrinsic scale and the only relevant parameter is the anisotropic factor $z$ which characterizes the degree of anisotropy between the four-dimensional spacetime and the extra dimension. We assume that physical scale $M_*$ emerges as a consequence of spontaneous conformal symmetry breaking of vacuum solution. It is demonstrated that a very small mass for the vector particle compared to $M_*$ can be achieved with a relatively mild adjustment of the parameter $z$. At the same time, it is also observed that the motion along the extra dimension can be highly suppressed and the five-dimensional theory can be effectively reduced to four-dimensional spacetime.

8.294528

8.222437

8.225521

7.690415

7.639771

8.243023

8.435265

7.83185

8.002075

8.420632

7.627573

7.580936

8.158799

7.685946

7.891939

7.773304

7.878411

7.642502

7.613571

7.681038

7.537984

hep-th/9608089

Guido Cognola

A.A. Bytsenko, Guido Cognola and Sergio Zerbini

Determinant of Laplacian on a non-compact 3-dimensional hyperbolic manifold with finite volume

10 pages, LaTex. The contribution of hyperbolic elements has been added

J.Phys.A30:3543-3552,1997

10.1088/0305-4470/30/10/028

University of Trento, UTF 382

hep-th

null

The functional determinant of Laplace-type operators on the 3-dimensional non-compact hyperbolic manifold with invariant fundamental domain of finite volume is computed by quadratures and making use of the related terms of the Selberg trace formula.

[ { "created": "Wed, 14 Aug 1996 08:09:46 GMT", "version": "v1" }, { "created": "Wed, 23 Oct 1996 15:21:39 GMT", "version": "v2" } ]

2008-11-26

[ [ "Bytsenko", "A. A.", "" ], [ "Cognola", "Guido", "" ], [ "Zerbini", "Sergio", "" ] ]

The functional determinant of Laplace-type operators on the 3-dimensional non-compact hyperbolic manifold with invariant fundamental domain of finite volume is computed by quadratures and making use of the related terms of the Selberg trace formula.

17.809523

12.397495

16.294867

12.038297

16.604414

17.357244

13.120771

15.080284

12.393207

15.168992

13.270786

14.25596

14.925232

13.918306

15.145112

14.300678

14.975203

14.911734

13.57781

14.232012

14.860952

hep-th/9207064

David Kutasov

Irreversibility of the Renormalization Group Flow in Two Dimensional Quantum Gravity

14 pages, PUPT-1334

Mod.Phys.Lett. A7 (1992) 2943-2956

10.1142/S0217732392002317

null

hep-th

null

We argue that the torus partition sum in $2d$ (super) gravity, which counts physical states in the theory, is a decreasing function of the renormalization group scale. As an application we chart the space of $(\hat c\leq1)$ $c\leq1$ models coupled to (super) gravity, confirming and extending ideas due to A. Zamolodchikov, and discuss briefly string theory, where our results imply that the number of degrees of freedom decreases with time.

[ { "created": "Mon, 20 Jul 1992 14:58:49 GMT", "version": "v1" } ]

2015-06-26

[ [ "Kutasov", "David", "" ] ]

We argue that the torus partition sum in $2d$ (super) gravity, which counts physical states in the theory, is a decreasing function of the renormalization group scale. As an application we chart the space of $(\hat c\leq1)$ $c\leq1$ models coupled to (super) gravity, confirming and extending ideas due to A. Zamolodchikov, and discuss briefly string theory, where our results imply that the number of degrees of freedom decreases with time.

12.706135

11.072475

13.208076

10.069295

11.163184

10.68722

11.145177

10.65394

10.048385

14.720062

10.233498

10.438548

12.631516

10.754144

10.807404

10.650334

10.023144

10.532448

10.394815

11.78235

10.711688

hep-th/9909107

Koushik Ray

Subir Mukhopadhyay and Koushik Ray

D-branes on Fourfolds with Discrete Torsion

Two references added

Nucl.Phys. B576 (2000) 152-176

10.1016/S0550-3213(00)00166-8

ROM2F-99-30, MRI-PHY/P990927

hep-th

null

We study D1-branes on the fourfold $\C^4/(\Z_2\times\Z_2\times\Z_2)$, in the presence of discrete torsion. Discrete torsion is incorporated in the gauge theory of the D1-branes by considering a projective representation of the finite group $\Z_2\times\Z_2\times\Z_2$. The corresponding orbifold is then deformed by perturbing the F-flatness condition of the gauge theory. The moduli space of the resulting gauge theory retains a stable singularity of codimension three.

[ { "created": "Wed, 15 Sep 1999 16:41:33 GMT", "version": "v1" }, { "created": "Thu, 14 Oct 1999 10:44:46 GMT", "version": "v2" } ]

2009-10-31

[ [ "Mukhopadhyay", "Subir", "" ], [ "Ray", "Koushik", "" ] ]

We study D1-branes on the fourfold $\C^4/(\Z_2\times\Z_2\times\Z_2)$, in the presence of discrete torsion. Discrete torsion is incorporated in the gauge theory of the D1-branes by considering a projective representation of the finite group $\Z_2\times\Z_2\times\Z_2$. The corresponding orbifold is then deformed by perturbing the F-flatness condition of the gauge theory. The moduli space of the resulting gauge theory retains a stable singularity of codimension three.

5.068213

5.139597

6.102127

4.89341

5.209786

4.91187

4.966736

4.726047

4.829784

5.907689

4.917188

5.008296

5.320039

4.801373

4.736168

4.898338

4.856424

4.957396

4.940087

5.15243

4.78487

1307.4769

Andrew Tolley

Nicholas A. Ondo, Andrew J. Tolley

Complete Decoupling Limit of Ghost-free Massive Gravity

20 pages, typos corrected, references added

null

10.1007/JHEP11(2013)059

null

hep-th astro-ph.CO gr-qc

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

We present the complete form of the decoupling limit of ghost-free massive gravity with a Minkowski reference metric, including the full interactions of the helicity-1 and helicity-0 modes of the massive spin-2 field. While in the metric language the square root structure of the mass terms makes it difficult to find a simple way to write down the interactions, we show that using the vierbein formulation of massive gravity, including Stueckelberg fields for both diffeomorphism and local Lorentz symmetries, we can find an explicitly resummed expression for the helicity-1 field interactions. We clarify the equations of motion for the Lorentz Stueckelberg fields and how these generate the symmetric vierbein condition which guarantees equivalence between the vierbein and metric formulations of massive gravity.

[ { "created": "Wed, 17 Jul 2013 20:09:14 GMT", "version": "v1" }, { "created": "Mon, 22 Jul 2013 19:58:48 GMT", "version": "v2" } ]

2015-06-16

[ [ "Ondo", "Nicholas A.", "" ], [ "Tolley", "Andrew J.", "" ] ]

We present the complete form of the decoupling limit of ghost-free massive gravity with a Minkowski reference metric, including the full interactions of the helicity-1 and helicity-0 modes of the massive spin-2 field. While in the metric language the square root structure of the mass terms makes it difficult to find a simple way to write down the interactions, we show that using the vierbein formulation of massive gravity, including Stueckelberg fields for both diffeomorphism and local Lorentz symmetries, we can find an explicitly resummed expression for the helicity-1 field interactions. We clarify the equations of motion for the Lorentz Stueckelberg fields and how these generate the symmetric vierbein condition which guarantees equivalence between the vierbein and metric formulations of massive gravity.

6.80434

6.337179

7.086488

6.206916

6.691845

6.637785

6.194044

6.093697

6.201649

7.910398

6.219951

6.651225

6.597618

6.13606

6.50451

6.488316

6.444492

6.311253

6.288334

6.669686

6.220346

1010.2760

Todd Springer

Todd Springer, Charles Gale, and Sangyong Jeon

Bulk spectral functions in single and multi-scalar gravity duals

10 pages + appendices, 2 figures. v2: typos fixed and some text modified in Sec. V; conclusions unchanged. v3: Minor modifications, matches published version

Phys.Rev.D82:126011,2010

10.1103/PhysRevD.82.126011

null

hep-th hep-ph nucl-th

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

We examine two point correlation functions involving the trace of the energy momentum tensor in five dimensional gravity dual theories supported by one or more scalar fields. A prescription for determining bulk channel spectral functions is developed. This prescription generalizes previous work which centered on one scalar field. As an application of these techniques, we investigate the bulk spectral function and corresponding sum rule in the Chamblin-Reall background. We show that, when expressed in terms of the beta function, the sum rule for the Chamblin-Reall background can be written in a form similar to the sum rule in Yang-Mills theory.

[ { "created": "Wed, 13 Oct 2010 20:08:50 GMT", "version": "v1" }, { "created": "Thu, 28 Oct 2010 17:29:01 GMT", "version": "v2" }, { "created": "Wed, 22 Dec 2010 17:54:59 GMT", "version": "v3" } ]

2011-01-20

[ [ "Springer", "Todd", "" ], [ "Gale", "Charles", "" ], [ "Jeon", "Sangyong", "" ] ]

We examine two point correlation functions involving the trace of the energy momentum tensor in five dimensional gravity dual theories supported by one or more scalar fields. A prescription for determining bulk channel spectral functions is developed. This prescription generalizes previous work which centered on one scalar field. As an application of these techniques, we investigate the bulk spectral function and corresponding sum rule in the Chamblin-Reall background. We show that, when expressed in terms of the beta function, the sum rule for the Chamblin-Reall background can be written in a form similar to the sum rule in Yang-Mills theory.

10.939857

9.288214

10.564914

9.37287

9.730882

9.840302

9.755748

9.55034

9.757269

9.960225

9.426392

9.907528

10.078085

9.789783

10.07348

9.732274

9.877892

9.610889

9.746928

9.909371

10.027951

1506.05930

Yi Yang

Yi Yang and Pei-Hung Yuan

Confinement-Deconfinment Phase Transition for Heavy Quarks

23 pages, 14 figures, published in JHEP. arXiv admin note: text overlap with arXiv:1301.0385

Journal of High Energy Physics, 2015(12), 1-22

10.1007/JHEP12(2015)161

null

hep-th

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

We study confinement-deconfinement phase transition for heavy quarks in a bottom-up holographic QCD model. We consider a black hole background in an Einstein-Maxwell-scalar system and add probe open strings to the background. Combining the various configurations of the open strings and the phase structure of the black hole background itself, we obtain the confinement-deconfinement phase diagram for heavy quarks in the holographic QCD model.

[ { "created": "Fri, 19 Jun 2015 09:30:27 GMT", "version": "v1" }, { "created": "Fri, 8 Jan 2016 01:55:17 GMT", "version": "v2" } ]

2016-01-11

[ [ "Yang", "Yi", "" ], [ "Yuan", "Pei-Hung", "" ] ]

We study confinement-deconfinement phase transition for heavy quarks in a bottom-up holographic QCD model. We consider a black hole background in an Einstein-Maxwell-scalar system and add probe open strings to the background. Combining the various configurations of the open strings and the phase structure of the black hole background itself, we obtain the confinement-deconfinement phase diagram for heavy quarks in the holographic QCD model.

5.892466

5.189425

5.340316

4.785492

5.065964

5.082469

4.498674

5.051574

5.09044

5.374765

5.046589

5.090233

5.185363

5.103812

4.909459

5.094313

5.006843

5.144967

5.041499

5.139036

5.047827

hep-th/0204195

Adam Falkowski

Philippe Brax, Adam Falkowski, Zygmunt Lalak and Stefan Pokorski

Custodial supersymmetry in non-supersymmetric quiver theories

10 pages, latex, references added, discussion of custodial susy in the zero-mode sector extended

Phys.Lett. B538 (2002) 426-434

10.1016/S0370-2693(02)02006-3

null

hep-th

null

We consider non-supersymmetric quiver theories obtained by orbifolding the N=4 supersymmetric U(K) gauge theory by a discrete Z_\Gamma group embedded in the SU(4) R-symmetry group. We explicitly find that in such theories there are no one-loop quadratic divergences in the effective potential. Moreover, when the gauge group U(n)^\Gamma of the quiver theory is spontaneously broken down to the diagonal U(n), we identify a custodial supersymmetry which is responsible for the fermion-boson degeneracy of the mass spectrum.

[ { "created": "Tue, 23 Apr 2002 16:21:53 GMT", "version": "v1" }, { "created": "Tue, 7 May 2002 14:27:00 GMT", "version": "v2" } ]

2015-06-26

[ [ "Brax", "Philippe", "" ], [ "Falkowski", "Adam", "" ], [ "Lalak", "Zygmunt", "" ], [ "Pokorski", "Stefan", "" ] ]

We consider non-supersymmetric quiver theories obtained by orbifolding the N=4 supersymmetric U(K) gauge theory by a discrete Z_\Gamma group embedded in the SU(4) R-symmetry group. We explicitly find that in such theories there are no one-loop quadratic divergences in the effective potential. Moreover, when the gauge group U(n)^\Gamma of the quiver theory is spontaneously broken down to the diagonal U(n), we identify a custodial supersymmetry which is responsible for the fermion-boson degeneracy of the mass spectrum.

7.438075

6.131687

7.881171

7.227631

6.621666

6.81346

7.134349

7.398145

6.629465

8.653423

6.704918

7.054588

7.449806

7.102115

6.955773

7.176752

6.7949

6.842027

7.2112

7.487512

6.75002

1204.3043

Philipp Fleig

Philipp Fleig, Axel Kleinschmidt

Eisenstein series for infinite-dimensional U-duality groups

69 pages. v2: Added references and small additions, to be published in JHEP

null

10.1007/JHEP06(2012)054

AEI-2012-035

hep-th math.NT

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

We consider Eisenstein series appearing as coefficients of curvature corrections in the low-energy expansion of type II string theory four-graviton scattering amplitudes. We define these Eisenstein series over all groups in the E_n series of string duality groups, and in particular for the infinite-dimensional Kac-Moody groups E9, E10 and E11. We show that, remarkably, the so-called constant term of Kac-Moody-Eisenstein series contains only a finite number of terms for particular choices of a parameter appearing in the definition of the series. This resonates with the idea that the constant term of the Eisenstein series encodes perturbative string corrections in BPS-protected sectors allowing only a finite number of corrections. We underpin our findings with an extensive discussion of physical degeneration limits in D<3 space-time dimensions.

[ { "created": "Fri, 13 Apr 2012 16:35:53 GMT", "version": "v1" }, { "created": "Tue, 29 May 2012 16:14:47 GMT", "version": "v2" } ]

2015-06-04

[ [ "Fleig", "Philipp", "" ], [ "Kleinschmidt", "Axel", "" ] ]

We consider Eisenstein series appearing as coefficients of curvature corrections in the low-energy expansion of type II string theory four-graviton scattering amplitudes. We define these Eisenstein series over all groups in the E_n series of string duality groups, and in particular for the infinite-dimensional Kac-Moody groups E9, E10 and E11. We show that, remarkably, the so-called constant term of Kac-Moody-Eisenstein series contains only a finite number of terms for particular choices of a parameter appearing in the definition of the series. This resonates with the idea that the constant term of the Eisenstein series encodes perturbative string corrections in BPS-protected sectors allowing only a finite number of corrections. We underpin our findings with an extensive discussion of physical degeneration limits in D<3 space-time dimensions.

7.962454

8.455226

10.19652

8.447232

8.273645

8.631635

8.442175

8.194416

8.519717

10.173197

7.92809

7.770263

9.067252

8.105165

7.997304

8.045045

7.889823

7.876493

8.09205

8.757875

7.861087

0707.0388

Ingo Runkel

Matthias R. Gaberdiel, Ingo Runkel

From boundary to bulk in logarithmic CFT

35 pages, 2 figures; v2: minor corrections, version to appear in J.Phys.A

J. Phys. A41 (2008) 075402

10.1088/1751-8113/41/7/075402

null

hep-th math.QA

null

The analogue of the charge-conjugation modular invariant for rational logarithmic conformal field theories is constructed. This is done by reconstructing the bulk spectrum from a simple boundary condition (the analogue of the Cardy `identity brane'). We apply the general method to the c_1,p triplet models and reproduce the previously known bulk theory for p=2 at c=-2. For general p we verify that the resulting partition functions are modular invariant. We also construct the complete set of 2p boundary states, and confirm that the identity brane from which we started indeed exists. As a by-product we obtain a logarithmic version of the Verlinde formula for the c_1,p triplet models.

[ { "created": "Tue, 3 Jul 2007 10:45:44 GMT", "version": "v1" }, { "created": "Mon, 28 Jan 2008 11:51:32 GMT", "version": "v2" } ]

2008-05-01

[ [ "Gaberdiel", "Matthias R.", "" ], [ "Runkel", "Ingo", "" ] ]

The analogue of the charge-conjugation modular invariant for rational logarithmic conformal field theories is constructed. This is done by reconstructing the bulk spectrum from a simple boundary condition (the analogue of the Cardy `identity brane'). We apply the general method to the c_1,p triplet models and reproduce the previously known bulk theory for p=2 at c=-2. For general p we verify that the resulting partition functions are modular invariant. We also construct the complete set of 2p boundary states, and confirm that the identity brane from which we started indeed exists. As a by-product we obtain a logarithmic version of the Verlinde formula for the c_1,p triplet models.

10.896456

9.192794

15.392612

10.481832

10.880072

10.127604

9.578829

9.61501

10.116755

16.238342

9.568977

10.564694

12.662183

10.182323

10.789514

10.476402

9.998234

10.316925

10.399501

11.925671

10.376601

1108.3555

Osvaldo Chandia

Osvaldo Chandia, William D. Linch III, and Brenno Carlini Vallilo

Compactification of the Heterotic Pure Spinor Superstring II

Title changed. Added one reference

null

10.1007/JHEP10(2011)098

null

hep-th

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

We study compactifications of the heterotic pure spinor superstring to six and four dimensions focusing on two simple Calabi-Yau orbifolds. We show that the correct spectrum can be reproduced only if, in the twisted sector, there remain exactly 5 and 2 pure spinor components untwisted, respectively. This naturally defines a "small" Hilbert space of untwisted variables. We point out that the cohomology of the reduced differential on this small Hilbert space can be used to describe the states in the untwisted sector, provided certain auxiliary constraints are defined. In dimension six, the mismatch between the number of pure spinor components in the small Hilbert space and the number of components of a six-dimensional pure spinor is interpreted as providing the projective measure on the analytic subspace (in the projective description) of harmonic superspace.

[ { "created": "Wed, 17 Aug 2011 19:23:21 GMT", "version": "v1" }, { "created": "Thu, 1 Sep 2011 16:53:20 GMT", "version": "v2" } ]

2015-05-30

[ [ "Chandia", "Osvaldo", "" ], [ "Linch", "William D.", "III" ], [ "Vallilo", "Brenno Carlini", "" ] ]

We study compactifications of the heterotic pure spinor superstring to six and four dimensions focusing on two simple Calabi-Yau orbifolds. We show that the correct spectrum can be reproduced only if, in the twisted sector, there remain exactly 5 and 2 pure spinor components untwisted, respectively. This naturally defines a "small" Hilbert space of untwisted variables. We point out that the cohomology of the reduced differential on this small Hilbert space can be used to describe the states in the untwisted sector, provided certain auxiliary constraints are defined. In dimension six, the mismatch between the number of pure spinor components in the small Hilbert space and the number of components of a six-dimensional pure spinor is interpreted as providing the projective measure on the analytic subspace (in the projective description) of harmonic superspace.

9.994637

10.34391

11.676842

8.876296

10.025824

9.909835

9.790125

9.075775

9.857685

10.234828

9.087548

9.225699

9.476349

9.047072

8.936128

9.137788

8.99212

9.029449

9.169333

9.58802

8.984488

2112.03976

Rafael A. Porto

Gihyuk Cho, Gregor K\"alin and Rafael A. Porto

From Boundary Data to Bound States III: Radiative Effects

43 pages. 3 Figures. 1 ancillary file. v2: Paper and ancillary file updated to correct an error (using by mistake non-canonical variables) in the derivation of the spin-dependent radiated energy/angular-momentum in Eqs. 5.18, 5.20, 5.21 and 5.23. The B2B map remains unaltered. Published version

null

10.1007/JHEP04(2022)154

DESY 21-212

hep-th gr-qc

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

We extend the "boundary-to-bound" (B2B) correspondence to incorporate radiative as well as conservative radiation-reaction effects. We start by deriving a map between the total change in observables due to gravitational wave emission during hyperbolic-like motion and in one period of an elliptic-like orbit, which is valid in the adiabatic expansion for non-spinning as well as aligned-spin configurations. We also discuss the inverse problem of extracting the associated fluxes from scattering data. Afterwards we demonstrate, to all orders in the Post-Minkowskian expansion, the link between the radiated energy and the ultraviolet pole in the radial action in dimensional regularization due to tail effects. This implies, as expected, that the B2B correspondence for the conservative sector remains unchanged for local-in-time radiation-reaction tail effects with generic orbits. As a side product, this allows us to read off the energy flux from the associated pole in the tail Hamiltonian. We show that the B2B map also holds for non-local-in-time terms, but only in the large-eccentricity limit. Remarkably, we find that all of the trademark logarithmic contributions to the radial action map unscathed between generic unbound and bound motion. However, unlike logarithms, other terms due to non-local effects do not transition smoothly to quasi-circular orbits. We conclude with a discussion on these non-local pieces. Several checks of the B2B dictionary are displayed using state-of-the-art knowledge in Post-Newtonian/Minkowskian theory.

[ { "created": "Tue, 7 Dec 2021 20:37:21 GMT", "version": "v1" }, { "created": "Fri, 27 May 2022 14:19:44 GMT", "version": "v2" } ]

2022-05-30

[ [ "Cho", "Gihyuk", "" ], [ "Kälin", "Gregor", "" ], [ "Porto", "Rafael A.", "" ] ]

We extend the "boundary-to-bound" (B2B) correspondence to incorporate radiative as well as conservative radiation-reaction effects. We start by deriving a map between the total change in observables due to gravitational wave emission during hyperbolic-like motion and in one period of an elliptic-like orbit, which is valid in the adiabatic expansion for non-spinning as well as aligned-spin configurations. We also discuss the inverse problem of extracting the associated fluxes from scattering data. Afterwards we demonstrate, to all orders in the Post-Minkowskian expansion, the link between the radiated energy and the ultraviolet pole in the radial action in dimensional regularization due to tail effects. This implies, as expected, that the B2B correspondence for the conservative sector remains unchanged for local-in-time radiation-reaction tail effects with generic orbits. As a side product, this allows us to read off the energy flux from the associated pole in the tail Hamiltonian. We show that the B2B map also holds for non-local-in-time terms, but only in the large-eccentricity limit. Remarkably, we find that all of the trademark logarithmic contributions to the radial action map unscathed between generic unbound and bound motion. However, unlike logarithms, other terms due to non-local effects do not transition smoothly to quasi-circular orbits. We conclude with a discussion on these non-local pieces. Several checks of the B2B dictionary are displayed using state-of-the-art knowledge in Post-Newtonian/Minkowskian theory.

13.532201

13.20391

12.604608

11.545921

12.904545

12.504004

12.998413

11.663847

12.355715

14.267685

11.70527

12.466454

12.861813

12.292198

12.320741

12.596706

12.27744

12.070117

12.267896

12.578481

12.493931

1806.01115

Urs Schreiber

Vincent Braunack-Mayer, Hisham Sati, Urs Schreiber

Gauge enhancement of super M-branes via parametrized stable homotopy theory

57 pages, various figures, v2: minor corrections, v3: published version

Communications in Mathematical Physics 2019

10.1007/s00220-019-03441-4

null

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

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

A key open problem in M-theory is the mechanism of "gauge enhancement", which supposedly makes M-branes exhibit the nonabelian gauge degrees of freedom that are seen perturbatively in the limit of 10d string theory. In fact, since only the twisted K-theory classes represented by nonabelian Chan-Paton gauge fields on D-branes have invariant meaning, the problem is really the lift to M-theory of the twisted K-theory classification of D-brane charges. Here we show how this problem has a solution by universal constructions in super homotopy theory, at least rationally. We recall how double dimensional reduction of super M-brane charges is described by the cyclification adjunction applied to the 4-sphere, and how M-theory degrees of freedom hidden at ADE-singularities are induced by the suspended Hopf action on the 4-sphere. Combining these, we demonstrate, at the level of rational homotopy theory, that gauge enhancement in M-theory is exhibited by lifting against the fiberwise stabilization of the unit of this cyclification adjunction on the A-type orbispace of the 4-sphere. This explains how the fundamental D6 and D8 brane cocycles can be lifted from twisted K-theory to a cohomology theory for M-brane charge, at least rationally.

[ { "created": "Mon, 4 Jun 2018 13:50:31 GMT", "version": "v1" }, { "created": "Thu, 5 Jul 2018 14:13:28 GMT", "version": "v2" }, { "created": "Mon, 4 Mar 2019 10:41:23 GMT", "version": "v3" } ]

2019-05-24

[ [ "Braunack-Mayer", "Vincent", "" ], [ "Sati", "Hisham", "" ], [ "Schreiber", "Urs", "" ] ]

A key open problem in M-theory is the mechanism of "gauge enhancement", which supposedly makes M-branes exhibit the nonabelian gauge degrees of freedom that are seen perturbatively in the limit of 10d string theory. In fact, since only the twisted K-theory classes represented by nonabelian Chan-Paton gauge fields on D-branes have invariant meaning, the problem is really the lift to M-theory of the twisted K-theory classification of D-brane charges. Here we show how this problem has a solution by universal constructions in super homotopy theory, at least rationally. We recall how double dimensional reduction of super M-brane charges is described by the cyclification adjunction applied to the 4-sphere, and how M-theory degrees of freedom hidden at ADE-singularities are induced by the suspended Hopf action on the 4-sphere. Combining these, we demonstrate, at the level of rational homotopy theory, that gauge enhancement in M-theory is exhibited by lifting against the fiberwise stabilization of the unit of this cyclification adjunction on the A-type orbispace of the 4-sphere. This explains how the fundamental D6 and D8 brane cocycles can be lifted from twisted K-theory to a cohomology theory for M-brane charge, at least rationally.

9.223176

11.558827

12.609002

10.032165

11.563205

11.229273

11.266015

10.470432

9.849308

12.994353

9.989801

9.299964

10.224154

9.449967

9.679583

9.326206

9.363762

9.292138

9.480853

10.204505

9.150302

hep-th/0404006

Oleg Lunin

Adding momentum to D1-D5 system

28 pages, LATEX, references added, typo fixed

JHEP0404:054,2004

10.1088/1126-6708/2004/04/054

null

hep-th

null

We construct the first example of asymptotically flat solution which carries three charges (D1,D5 and momentum) and which is completely regular everywhere. The construction utilizes the relation between gravity solutions and spectral flow in the dual CFT. We show that the solution has the right properties to describe one of the microscopic states which are responsible for the entropy of the black hole with three charges.

[ { "created": "Thu, 1 Apr 2004 19:41:29 GMT", "version": "v1" }, { "created": "Fri, 16 Apr 2004 01:42:21 GMT", "version": "v2" }, { "created": "Mon, 26 Apr 2004 23:33:19 GMT", "version": "v3" } ]

2009-11-10

[ [ "Lunin", "Oleg", "" ] ]

We construct the first example of asymptotically flat solution which carries three charges (D1,D5 and momentum) and which is completely regular everywhere. The construction utilizes the relation between gravity solutions and spectral flow in the dual CFT. We show that the solution has the right properties to describe one of the microscopic states which are responsible for the entropy of the black hole with three charges.

10.763368

8.185178

10.735407

7.983851

9.151596

8.507001

8.440473

7.685924

7.834234

10.053286

8.13262

8.226245

10.051363

8.565449

8.786947

9.125215

8.141168

8.742188

8.666383

9.609097

8.54759

2401.07707

Horatiu Stefan Nastase

Horatiu Nastase and Jacob Sonnenschein

Novel knotted non-abelian gauge fields

33 pages, 1 figure; references added; summary of main points added in Introduction

null

hep-th hep-lat hep-ph math-ph math.MP

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

In analogy to null electromagnetic fields we define null YM fields. We show that the null non-abelian $SU(N)$ gauge fields admit a set of $2 N^2$ conserved "helicities". We derive null YM solutions that carry finite helicities by uplifting the abelian Hopfion solution and their generalizations. Another method that we implement is to deform YM solutions which do not carry helicities into ones that have nontrivial helicities. A nontrivial non-Abelian solution with helicities is found as a wave of infinite energy. We also discuss non-abelian generalizations of the Bateman parameterization for null abelian gauge fields.

[ { "created": "Mon, 15 Jan 2024 14:23:10 GMT", "version": "v1" }, { "created": "Mon, 6 May 2024 17:06:24 GMT", "version": "v2" }, { "created": "Fri, 9 Aug 2024 18:13:10 GMT", "version": "v3" } ]

2024-08-13

[ [ "Nastase", "Horatiu", "" ], [ "Sonnenschein", "Jacob", "" ] ]

In analogy to null electromagnetic fields we define null YM fields. We show that the null non-abelian $SU(N)$ gauge fields admit a set of $2 N^2$ conserved "helicities". We derive null YM solutions that carry finite helicities by uplifting the abelian Hopfion solution and their generalizations. Another method that we implement is to deform YM solutions which do not carry helicities into ones that have nontrivial helicities. A nontrivial non-Abelian solution with helicities is found as a wave of infinite energy. We also discuss non-abelian generalizations of the Bateman parameterization for null abelian gauge fields.

11.518089

12.127094

11.869407

11.036676

11.577056

12.989704

11.615555

10.966041

11.760094

13.354923

11.45563

10.988457

10.75936

10.791129

10.436206

10.902832

10.486044

11.44481

10.804283

10.857688

10.43042

2203.07914

Xian-Hui Ge

Qing-Bing Wang, Ming-Hui Yu and Xian-Hui Ge

Scrambling time for analogue black holes embedded in AdS space

1+18 pages, 3 figures, published version

Eur. Phys. J. C 82 (2022) 468

10.1140/epjc/s10052-022-10438-2

null

hep-th gr-qc

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

We propose a gedanken experiment on realizing thermofield double state (TFD) by using analog black holes and provide an approach to test the scrambling time. Through this approach, we demonstrate clearly how shock wave changes the TFD state as time evolves. As the whole system evolves forward in time, the perturbation of space-time geometry will increase exponentially. Finally, it will destroy the entanglement between the two states of the thermal field, and the mutual information between them is reduced to zero in the time scale of scrambling. The results show that for perturbations of analogue black holes embedded in AdS space, the scale of the scrambling time is closely related to the logarithm of entropy of the black hole. The results provide further theoretical argument for the scrambling time, which can be further falsified in experiments.

[ { "created": "Tue, 15 Mar 2022 13:54:27 GMT", "version": "v1" }, { "created": "Sat, 30 Apr 2022 16:00:03 GMT", "version": "v2" }, { "created": "Tue, 24 May 2022 13:46:44 GMT", "version": "v3" } ]

2022-05-25

[ [ "Wang", "Qing-Bing", "" ], [ "Yu", "Ming-Hui", "" ], [ "Ge", "Xian-Hui", "" ] ]

We propose a gedanken experiment on realizing thermofield double state (TFD) by using analog black holes and provide an approach to test the scrambling time. Through this approach, we demonstrate clearly how shock wave changes the TFD state as time evolves. As the whole system evolves forward in time, the perturbation of space-time geometry will increase exponentially. Finally, it will destroy the entanglement between the two states of the thermal field, and the mutual information between them is reduced to zero in the time scale of scrambling. The results show that for perturbations of analogue black holes embedded in AdS space, the scale of the scrambling time is closely related to the logarithm of entropy of the black hole. The results provide further theoretical argument for the scrambling time, which can be further falsified in experiments.

12.886097

11.91519

12.66115

11.359154

12.422779

12.605966

12.748574

11.303102

11.216104

13.877761

11.611787

12.063148

12.108148

11.720721

11.644836

11.8848

11.745668

11.703835

11.258359

12.277633

11.581829

2204.04927

Hosein Mohammadzadeh

H. Babaei-Aghbolagh, Hosein Mohammadzadeh, Davood Mahdavian Yekta and Komeil Babaei Velni

Thermodynamic geometry and complexity of black holes in theories with broken translational invariance

14 pages, 10 figures

null

10.1103/PhysRevD.106.024044

null

hep-th gr-qc

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

The relationship between thermodynamics and the Lloyd bound on the holographic complexity for a black hole has been of interest. We consider $D$ dimensional anti-de Sitter black holes with hyperbolic geometry as well as black holes with momentum relaxation that have a minimum for temperature and mass. We show that the singular points of the thermodynamic curvature of the black holes, as thermodynamic systems, correspond to the zero points of the action and volume complexity at the Lloyd bound. For such black holes with a single horizon, the complexity of volume and the complexity of action at minimum mass and minimum temperature are zero, respectively. We show that the thermodynamic curvature diverges at these minimal values. Because of the behaviour of action complexity and thermodynamic curvature at minimum temperature, we propose the action complexity as an order parameter of the black holes as thermodynamic systems. Also, we derive the critical exponent related to the thermodynamic curvature in different dimensions.

[ { "created": "Mon, 11 Apr 2022 07:56:57 GMT", "version": "v1" } ]

2022-08-03

[ [ "Babaei-Aghbolagh", "H.", "" ], [ "Mohammadzadeh", "Hosein", "" ], [ "Yekta", "Davood Mahdavian", "" ], [ "Velni", "Komeil Babaei", "" ] ]

The relationship between thermodynamics and the Lloyd bound on the holographic complexity for a black hole has been of interest. We consider $D$ dimensional anti-de Sitter black holes with hyperbolic geometry as well as black holes with momentum relaxation that have a minimum for temperature and mass. We show that the singular points of the thermodynamic curvature of the black holes, as thermodynamic systems, correspond to the zero points of the action and volume complexity at the Lloyd bound. For such black holes with a single horizon, the complexity of volume and the complexity of action at minimum mass and minimum temperature are zero, respectively. We show that the thermodynamic curvature diverges at these minimal values. Because of the behaviour of action complexity and thermodynamic curvature at minimum temperature, we propose the action complexity as an order parameter of the black holes as thermodynamic systems. Also, we derive the critical exponent related to the thermodynamic curvature in different dimensions.

11.022116

9.965609

10.968059

9.914634

10.90743

10.081505

10.320549

10.234601

9.671114

11.686121

10.186752

9.987074

10.523582

10.243309

10.127772

10.790728

10.401026

10.393487

10.12958

10.654563

10.096866

2107.07035

Hugo Garcia-Compean

H. Garc\'ia-Compe\'an, D. Mata-Pacheco

Lorentzian Vacuum Transitions for Anisotropic Universes

33 pages, 2 figures, sec. 3 was imporved, typos corrected, references added

null

10.1103/PhysRevD.104.106014

null

hep-th astro-ph.CO gr-qc

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

The vacuum transition probabilities for anisotropic universes in the presence of a scalar field potential in the Wentzel-Kramers-Brillouin approximation are studied. We follow the work by Cespedes et al [Phys. Rev. D 104, 026013 (2021)], which discuss these transitions in the isotropic context using the Wheeler-DeWitt equation, the Lorentzian Hamiltonian approach and the thin wall limit. First, we propose a general procedure to adapt their formalism to compute the decay rates for any superspace model. Then we apply it to compute the transition probabilities of an Friedmann-Lemaitre-Robertson-Walker (FLRW) metric with both positive and zero curvature, reproducing in this way one of the results obtained at Cespedes et al. We then proceed to apply the formalism to three anisotropic metrics, namely, Kantowski-Sachs, Bianchi III and biaxial Bianchi IX to compute the rate decays for these three cases. In the process we find that this method involves some conditions which relates the effective number of independent degrees of freedom resulting on all probabilities being described with only two independent variables. For the Bianchi III metric, we find that a general effect of anisotropy is to decrease the transition probability as the degree of anisotropy is increased, having as the isotropic limit the flat FLRW result.

[ { "created": "Wed, 14 Jul 2021 23:16:19 GMT", "version": "v1" }, { "created": "Sat, 16 Oct 2021 07:03:18 GMT", "version": "v2" } ]

2021-12-01

[ [ "García-Compeán", "H.", "" ], [ "Mata-Pacheco", "D.", "" ] ]

The vacuum transition probabilities for anisotropic universes in the presence of a scalar field potential in the Wentzel-Kramers-Brillouin approximation are studied. We follow the work by Cespedes et al [Phys. Rev. D 104, 026013 (2021)], which discuss these transitions in the isotropic context using the Wheeler-DeWitt equation, the Lorentzian Hamiltonian approach and the thin wall limit. First, we propose a general procedure to adapt their formalism to compute the decay rates for any superspace model. Then we apply it to compute the transition probabilities of an Friedmann-Lemaitre-Robertson-Walker (FLRW) metric with both positive and zero curvature, reproducing in this way one of the results obtained at Cespedes et al. We then proceed to apply the formalism to three anisotropic metrics, namely, Kantowski-Sachs, Bianchi III and biaxial Bianchi IX to compute the rate decays for these three cases. In the process we find that this method involves some conditions which relates the effective number of independent degrees of freedom resulting on all probabilities being described with only two independent variables. For the Bianchi III metric, we find that a general effect of anisotropy is to decrease the transition probability as the degree of anisotropy is increased, having as the isotropic limit the flat FLRW result.

8.903902

9.968795

8.612001

8.652633

9.008382

9.502431

9.577244

9.239252

8.955135

9.586369

8.622126

8.648201

8.659156

8.64484

8.722359

8.606205

8.596987

8.492584

8.701532

8.690046

8.735933

hep-th/9706031

Cezary Juszczak

Giovanni Amelino-Camelia, Jerzy Lukierski, and Anatol Nowicki

kappa-Deformed Covariant Phase Space and Quantum-Gravity Uncertainty Relations

9 pages, LaTeX

Phys.Atom.Nucl.61:1811-1815,1998; Yad.Fiz.61:1925-1929,1998

null

OUTP-97-24P

hep-th gr-qc math.QA q-alg

null

We describe the deformed covariant phase space corresponding to the so-called kappa-deformation of D=4 relativistic symmetries, with quantum ``time'' coordinate and Heisenberg algebra obtained according to the Heisenberg double construction. The associated modified uncertainty relations are analyzed, and in particular it is shown that these relations are consistent with independent estimates of quantum-gravity limitations on the measurability of space-time distances.

[ { "created": "Wed, 4 Jun 1997 14:39:11 GMT", "version": "v1" } ]

2011-04-15

[ [ "Amelino-Camelia", "Giovanni", "" ], [ "Lukierski", "Jerzy", "" ], [ "Nowicki", "Anatol", "" ] ]

We describe the deformed covariant phase space corresponding to the so-called kappa-deformation of D=4 relativistic symmetries, with quantum ``time'' coordinate and Heisenberg algebra obtained according to the Heisenberg double construction. The associated modified uncertainty relations are analyzed, and in particular it is shown that these relations are consistent with independent estimates of quantum-gravity limitations on the measurability of space-time distances.

12.039045

11.293143

11.435729

9.664589

10.397478

10.683083

10.342704

10.798614

10.772497

12.509989

10.913138

10.70021

11.706927

11.086235

11.069719

10.87124

10.782406

10.490917

11.28002

12.419358

11.001354

hep-th/0508021

Nobuyuki Motoyui

Nobuyuki Motoyui and Mitsuru Yamada

Operator ordering and Classical soliton path in Two-dimensional N=2 supersymmetry with Kahler potential

13 pages, typos corrected

Int.J.Mod.Phys. A21 (2006) 109-120

10.1142/S0217751X06025018

IU-MSTP/72

hep-th

null

We investigate a 2-dimensional N=2 supersymmetric model which consists of n chiral superfields with Kahler potential. When we define quantum observables, we are always plagued by operator ordering problem. Among various ways to fix the operator order, we rely upon the supersymmetry. We demonstrate that the correct operator order is given by requiring the super Poincare algebra by carrying out the canonical Dirac bracket quantization. This is shown to be also true when the supersymmetry algebra has a central extension by the presence of topological soliton. It is also shown that the path of soliton is a straight line in the complex plane of superpotential W and triangular mass inequality holds. And a half of supersymmetry is broken by the presence of soliton.

[ { "created": "Wed, 3 Aug 2005 02:45:36 GMT", "version": "v1" }, { "created": "Tue, 25 Oct 2005 07:17:59 GMT", "version": "v2" } ]

2009-11-11

[ [ "Motoyui", "Nobuyuki", "" ], [ "Yamada", "Mitsuru", "" ] ]

We investigate a 2-dimensional N=2 supersymmetric model which consists of n chiral superfields with Kahler potential. When we define quantum observables, we are always plagued by operator ordering problem. Among various ways to fix the operator order, we rely upon the supersymmetry. We demonstrate that the correct operator order is given by requiring the super Poincare algebra by carrying out the canonical Dirac bracket quantization. This is shown to be also true when the supersymmetry algebra has a central extension by the presence of topological soliton. It is also shown that the path of soliton is a straight line in the complex plane of superpotential W and triangular mass inequality holds. And a half of supersymmetry is broken by the presence of soliton.

12.731246

13.031241

14.124105

13.394693

14.717164

14.187878

14.118002

12.946838

13.612057

15.603123

12.685102

13.120087

12.754081

12.306755

13.009713

13.167493

13.003769

12.579767

12.765936

13.05246

12.53767

1103.3348

Giampiero Esposito Dr.

Paolo Aschieri, Elisabetta Di Grezia, Giampiero Esposito

Non-commutative Einstein equations and Seiberg-Witten map

6 and 1/2 pages, based on talk prepared for the Friedmann Seminar, May-June 2011. In the final version, the presentation has been improved, including a better notation

null

10.1142/S2010194511001231

DSF preprint 2011/3

hep-th gr-qc

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

The Seiberg--Witten map is a powerful tool in non-commutative field theory, and it has been recently obtained in the literature for gravity itself, to first order in non-commutativity. This paper, relying upon the pure-gravity form of the action functional considered in Ref. 2, studies the expansion to first order of the non-commutative Einstein equations, and whether the Seiberg--Witten map can lead to a solution of such equations when the underlying classical geometry is Schwarzschild.

[ { "created": "Thu, 17 Mar 2011 07:18:25 GMT", "version": "v1" }, { "created": "Wed, 15 Jun 2011 10:03:14 GMT", "version": "v2" } ]

2015-05-27

[ [ "Aschieri", "Paolo", "" ], [ "Di Grezia", "Elisabetta", "" ], [ "Esposito", "Giampiero", "" ] ]

The Seiberg--Witten map is a powerful tool in non-commutative field theory, and it has been recently obtained in the literature for gravity itself, to first order in non-commutativity. This paper, relying upon the pure-gravity form of the action functional considered in Ref. 2, studies the expansion to first order of the non-commutative Einstein equations, and whether the Seiberg--Witten map can lead to a solution of such equations when the underlying classical geometry is Schwarzschild.

11.444302

10.390928

9.822926

9.149981

10.154455

9.975328

9.639106

9.642985

9.417875

10.620879

9.288524

9.260414

9.649384

9.362523

9.486933

9.515793

9.643821

9.689426

9.642959

9.475732

9.561541

1502.07737

Arash Arabi Ardehali

Arash Arabi Ardehali, James T. Liu, Phillip Szepietowski

High-Temperature Expansion of Supersymmetric Partition Functions

15 pages plus appendices; v2: minor modifications and a "Note added"; v3: presentation improved and minor errors in app B corrected

JHEP 1507 (2015) 113

10.1007/JHEP07(2015)113

MCTP-15-06, ITP-UU-15/03

hep-th

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

Di Pietro and Komargodski have recently demonstrated a four-dimensional counterpart of Cardy's formula, which gives the leading high-temperature ($\beta\rightarrow{0}$) behavior of supersymmetric partition functions $Z^{SUSY}(\beta)$. Focusing on superconformal theories, we elaborate on the subleading contributions to their formula when applied to free chiral and U(1) vector multiplets. In particular, we see that the high-temperature expansion of $\ln Z^{SUSY}(\beta)$ terminates at order $\beta^0$. We also demonstrate how their formula must be modified when applied to SU($N$) toric quiver gauge theories in the planar ($N\rightarrow\infty$) limit. Our method for regularizing the one-loop determinants of chiral and vector multiplets helps to clarify the relation between the 4d $\mathcal{N} = 1$ superconformal index and its corresponding supersymmetric partition function obtained by path-integration.

[ { "created": "Thu, 26 Feb 2015 20:56:45 GMT", "version": "v1" }, { "created": "Mon, 23 Mar 2015 23:32:35 GMT", "version": "v2" }, { "created": "Tue, 7 Jul 2015 00:39:54 GMT", "version": "v3" } ]

2015-11-13

[ [ "Ardehali", "Arash Arabi", "" ], [ "Liu", "James T.", "" ], [ "Szepietowski", "Phillip", "" ] ]

Di Pietro and Komargodski have recently demonstrated a four-dimensional counterpart of Cardy's formula, which gives the leading high-temperature ($\beta\rightarrow{0}$) behavior of supersymmetric partition functions $Z^{SUSY}(\beta)$. Focusing on superconformal theories, we elaborate on the subleading contributions to their formula when applied to free chiral and U(1) vector multiplets. In particular, we see that the high-temperature expansion of $\ln Z^{SUSY}(\beta)$ terminates at order $\beta^0$. We also demonstrate how their formula must be modified when applied to SU($N$) toric quiver gauge theories in the planar ($N\rightarrow\infty$) limit. Our method for regularizing the one-loop determinants of chiral and vector multiplets helps to clarify the relation between the 4d $\mathcal{N} = 1$ superconformal index and its corresponding supersymmetric partition function obtained by path-integration.

7.123923

6.686494

7.354135

6.707152

6.632353

6.814691

6.561159

6.639384

6.716771

8.250199

7.033149

6.407391

6.842666

6.508787

6.420206

6.314167

6.457908

6.273732

6.507417

6.613479

6.905545

hep-th/9502109

Emil Mottola

Functional Integration Over Geometries

68 pages, Latex document using Revtex Macro package, Contribution to the special issue of the Journal of Mathematical Physics on Functional Integration, to be published July, 1995.

J.Math.Phys. 36 (1995) 2470-2511

10.1063/1.531359

LA-UR-95-80

hep-th gr-qc

null

The geometric construction of the functional integral over coset spaces ${\cal M}/{\cal G}$ is reviewed. The inner product on the cotangent space of infinitesimal deformations of $\cal M$ defines an invariant distance and volume form, or functional integration measure on the full configuration space. Then, by a simple change of coordinates parameterizing the gauge fiber $\cal G$, the functional measure on the coset space ${\cal M}/{\cal G}$ is deduced. This change of integration variables leads to a Jacobian which is entirely equivalent to the Faddeev-Popov determinant of the more traditional gauge fixed approach in non-abelian gauge theory. If the general construction is applied to the case where $\cal G$ is the group of coordinate reparametrizations of spacetime, the continuum functional integral over geometries, {\it i.e.} metrics modulo coordinate reparameterizations may be defined. The invariant functional integration measure is used to derive the trace anomaly and effective action for the conformal part of the metric in two and four dimensional spacetime. In two dimensions this approach generates the Polyakov-Liouville action of closed bosonic non-critical string theory. In four dimensions the corresponding effective action leads to novel conclusions on the importance of quantum effects in gravity in the far infrared, and in particular, a dramatic modification of the classical Einstein theory at cosmological distance scales, signaled first by the quantum instability of classical de Sitter spacetime. Finite volume scaling relations for the functional integral of quantum gravity in two and four dimensions are derived, and comparison with the discretized dynamical triangulation approach to the integration over geometries are discussed.

[ { "created": "Fri, 17 Feb 1995 01:05:30 GMT", "version": "v1" } ]

2016-09-06

[ [ "Mottola", "Emil", "" ] ]

The geometric construction of the functional integral over coset spaces ${\cal M}/{\cal G}$ is reviewed. The inner product on the cotangent space of infinitesimal deformations of $\cal M$ defines an invariant distance and volume form, or functional integration measure on the full configuration space. Then, by a simple change of coordinates parameterizing the gauge fiber $\cal G$, the functional measure on the coset space ${\cal M}/{\cal G}$ is deduced. This change of integration variables leads to a Jacobian which is entirely equivalent to the Faddeev-Popov determinant of the more traditional gauge fixed approach in non-abelian gauge theory. If the general construction is applied to the case where $\cal G$ is the group of coordinate reparametrizations of spacetime, the continuum functional integral over geometries, {\it i.e.} metrics modulo coordinate reparameterizations may be defined. The invariant functional integration measure is used to derive the trace anomaly and effective action for the conformal part of the metric in two and four dimensional spacetime. In two dimensions this approach generates the Polyakov-Liouville action of closed bosonic non-critical string theory. In four dimensions the corresponding effective action leads to novel conclusions on the importance of quantum effects in gravity in the far infrared, and in particular, a dramatic modification of the classical Einstein theory at cosmological distance scales, signaled first by the quantum instability of classical de Sitter spacetime. Finite volume scaling relations for the functional integral of quantum gravity in two and four dimensions are derived, and comparison with the discretized dynamical triangulation approach to the integration over geometries are discussed.

7.183977

8.324305

8.093905

7.714474

8.198834

7.903045

8.149654

7.901647

7.950847

8.579534

7.67869

7.440255

7.262819

7.307772

7.490756

7.297587

7.52498

7.269989

7.228637

7.582154

7.420056

1108.3557

Gregory Korchemsky

Burkhard Eden, Paul Heslop, Gregory P. Korchemsky and Emery Sokatchev

Hidden symmetry of four-point correlation functions and amplitudes in N=4 SYM

46 pages, 10 figures; v2: minor typos corrected

null

10.1016/j.nuclphysb.2012.04.007

CERN-PH-TH/2011-208; DCPT-11/33; IPhT-T11/91; LAPTH-030/11

hep-th hep-ph

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

We study the four-point correlation function of stress-tensor supermultiplets in N=4 SYM using the method of Lagrangian insertions. We argue that, as a corollary of N=4 superconformal symmetry, the resulting all-loop integrand possesses an unexpected complete symmetry under the exchange of the four external and all the internal (integration) points. This alone allows us to predict the integrand of the three-loop correlation function up to four undetermined constants. Further, exploiting the conjectured amplitude/correlation function duality, we are able to fully determine the three-loop integrand in the planar limit. We perform an independent check of this result by verifying that it is consistent with the operator product expansion, in particular that it correctly reproduces the three-loop anomalous dimension of the Konishi operator. As a byproduct of our study, we also obtain the three-point function of two half-BPS operators and one Konishi operator at three-loop level. We use the same technique to work out a compact form for the four-loop four-point integrand and discuss the generalisation to higher loops.

[ { "created": "Wed, 17 Aug 2011 19:39:59 GMT", "version": "v1" }, { "created": "Tue, 3 Apr 2012 22:43:05 GMT", "version": "v2" }, { "created": "Wed, 9 May 2012 06:57:10 GMT", "version": "v3" } ]

2015-05-30

[ [ "Eden", "Burkhard", "" ], [ "Heslop", "Paul", "" ], [ "Korchemsky", "Gregory P.", "" ], [ "Sokatchev", "Emery", "" ] ]

We study the four-point correlation function of stress-tensor supermultiplets in N=4 SYM using the method of Lagrangian insertions. We argue that, as a corollary of N=4 superconformal symmetry, the resulting all-loop integrand possesses an unexpected complete symmetry under the exchange of the four external and all the internal (integration) points. This alone allows us to predict the integrand of the three-loop correlation function up to four undetermined constants. Further, exploiting the conjectured amplitude/correlation function duality, we are able to fully determine the three-loop integrand in the planar limit. We perform an independent check of this result by verifying that it is consistent with the operator product expansion, in particular that it correctly reproduces the three-loop anomalous dimension of the Konishi operator. As a byproduct of our study, we also obtain the three-point function of two half-BPS operators and one Konishi operator at three-loop level. We use the same technique to work out a compact form for the four-loop four-point integrand and discuss the generalisation to higher loops.

4.33754

5.070009

6.017495

5.0193

4.972884

4.997087

5.140759

4.936629

5.12457

5.856774

4.931097

4.732886

5.220801

4.747774

4.73929

4.682139

4.809237

4.835814

4.806218

5.20594

4.785436

1902.02578

Shuichi Yokoyama

Sinya Aoki, Shuichi Yokoyama, and Kentaroh Yoshida

Holographic geometry for non-relativistic systems emerging from generalized flow equations

32 pages, no figure, v2: the definition of the metric operator changed, typos fixed, comments and references added, published version

Phys. Rev. D 99, 126002 (2019)

10.1103/PhysRevD.99.126002

YITP-19-04, KUNS-2747

hep-th gr-qc

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

An intriguing result presented by two of the present authors is that an anti de Sitter space can be derived from a conformal field theory by considering a flow equation. A natural expectation is that given a certain data on the boundary system, the associated geometry would be able to emerge from a flow, even beyond the conformal case. As a step along this line, we examine this scenario for non-relativistic systems with anisotropic scaling symmetries, such as Lifshitz field theories and Schr\"odinger invariant theories. In consequence we obtain a new hybrid geometry of Lifshitz and Schr\"odinger spacetimes as a general holographic geometry in this framework. We confirm that this geometry reduces to each of them by considering special non-relativistic models.

[ { "created": "Thu, 7 Feb 2019 11:51:53 GMT", "version": "v1" }, { "created": "Thu, 23 May 2019 13:05:38 GMT", "version": "v2" } ]

2019-06-12

[ [ "Aoki", "Sinya", "" ], [ "Yokoyama", "Shuichi", "" ], [ "Yoshida", "Kentaroh", "" ] ]

An intriguing result presented by two of the present authors is that an anti de Sitter space can be derived from a conformal field theory by considering a flow equation. A natural expectation is that given a certain data on the boundary system, the associated geometry would be able to emerge from a flow, even beyond the conformal case. As a step along this line, we examine this scenario for non-relativistic systems with anisotropic scaling symmetries, such as Lifshitz field theories and Schr\"odinger invariant theories. In consequence we obtain a new hybrid geometry of Lifshitz and Schr\"odinger spacetimes as a general holographic geometry in this framework. We confirm that this geometry reduces to each of them by considering special non-relativistic models.

12.431854

11.604344

12.562682

10.649296

11.56967

10.568993

11.490924

11.15128

10.642019

13.132332

11.003143

10.486756

11.096183

10.642682

10.625604

10.517311

10.846723

10.783789

10.676065

11.539765

10.707392

hep-th/9211056

Jerome Gauntlett

Jerome P. Gauntlett, Jeffrey A. Harvey and James T. Liu

Magnetic Monopoles in String Theory

24 pages (Corrected title)

Nucl.Phys.B409:363-381,1993

10.1016/0550-3213(93)90584-C

EFI-92-67, IFP-434-UNC

hep-th

null

Magnetic monopole solutions to heterotic string theory are discussed in toroidal compactifications to four spacetime dimensions. Particular emphasis is placed on the relation to previously studied fivebrane solutions in ten dimensions and on the possibility of constructing exact monopole solutions related to symmetric fivebranes.

[ { "created": "Thu, 12 Nov 1992 19:14:48 GMT", "version": "v1" }, { "created": "Fri, 13 Nov 1992 14:39:21 GMT", "version": "v2" } ]

2010-11-01

[ [ "Gauntlett", "Jerome P.", "" ], [ "Harvey", "Jeffrey A.", "" ], [ "Liu", "James T.", "" ] ]

Magnetic monopole solutions to heterotic string theory are discussed in toroidal compactifications to four spacetime dimensions. Particular emphasis is placed on the relation to previously studied fivebrane solutions in ten dimensions and on the possibility of constructing exact monopole solutions related to symmetric fivebranes.

9.680901

7.264633

9.071293

7.643514

7.711961

7.288851

7.023335

7.245368

7.721374

9.104405

7.341658

7.464396

8.381158

7.681762

7.114614

7.236861

7.255962

7.286922

7.589434

8.286262

7.247942

1012.1818

Murat Gunaydin

M. Gunaydin, H. Samtleben and E. Sezgin

On the Magical Supergravities in Six Dimensions

42 pages, Latex file; References added, typos corrected, minor clarifications in the introduction and conclusion sections added. Version to be published in Nuclear Physics B

Nucl.Phys.B848:62-89,2011

10.1016/j.nuclphysb.2011.02.010

null

hep-th

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

Magical supergravities are a very special class of supergravity theories whose symmetries and matter content in various dimensions correspond to symmetries and underlying algebraic structures of the remarkable geometries of the Magic Square of Freudenthal, Rozenfeld and Tits. These symmetry groups include the exceptional groups and some of their special subgroups. In this paper, we study the general gaugings of these theories in six dimensions which lead to new couplings between vector and tensor fields. We show that in the absence of hypermultiplet couplings the gauge group is uniquely determined by a maximal set of commuting translations within the isometry group SO(n_T,1) of the tensor multiplet sector. Moreover, we find that in general the gauge algebra allows for central charges that may have nontrivial action on the hypermultiplet scalars. We determine the new minimal couplings, Yukawa couplings and the scalar potential.

[ { "created": "Wed, 8 Dec 2010 17:57:42 GMT", "version": "v1" }, { "created": "Thu, 23 Dec 2010 00:54:12 GMT", "version": "v2" }, { "created": "Mon, 21 Feb 2011 15:58:41 GMT", "version": "v3" } ]

2011-04-04

[ [ "Gunaydin", "M.", "" ], [ "Samtleben", "H.", "" ], [ "Sezgin", "E.", "" ] ]

Magical supergravities are a very special class of supergravity theories whose symmetries and matter content in various dimensions correspond to symmetries and underlying algebraic structures of the remarkable geometries of the Magic Square of Freudenthal, Rozenfeld and Tits. These symmetry groups include the exceptional groups and some of their special subgroups. In this paper, we study the general gaugings of these theories in six dimensions which lead to new couplings between vector and tensor fields. We show that in the absence of hypermultiplet couplings the gauge group is uniquely determined by a maximal set of commuting translations within the isometry group SO(n_T,1) of the tensor multiplet sector. Moreover, we find that in general the gauge algebra allows for central charges that may have nontrivial action on the hypermultiplet scalars. We determine the new minimal couplings, Yukawa couplings and the scalar potential.

9.816459

9.498995

11.488332

10.339533

10.735384

11.120289

10.604837

9.56201

9.625086

11.67947

9.678842

8.763939

9.101223

8.964082

8.985353

8.997148

8.899418

9.025089

9.494308

9.149935

9.247946

hep-th/0010192

Michael Gutperle

Michael Gutperle (Harvard University) and Michal Spalinski (Harvard University)

Supergravity Instantons for N=2 Hypermultiplets

29 pages, harvmac(b), no figures, v4: typos corrected, version to appear in NPB

Nucl.Phys. B598 (2001) 509-529

10.1016/S0550-3213(00)00756-2

HUTP-00/A043

hep-th

null

The dimensional reduction of eleven dimensional supergravity on a Calabi-Yau manifold gives N=2 supergravity in five dimensions with $h_{1,1}$ vector and $h_{2,1}+1$ hypermultiplets. In this paper instanton solutions are constructed which are responsible for nonperturbtative corrections to the hypermultiplet moduli spaces. These instantons are wrapped Euclidean membranes and fivebranes. For vanishing fivebrane charge the BPS conditions for these solutions define a flow in the hypermultiplet moduli space and are isomorphic to the attractor equations for four dimensional black holes.

[ { "created": "Mon, 23 Oct 2000 22:12:20 GMT", "version": "v1" }, { "created": "Thu, 16 Nov 2000 22:31:06 GMT", "version": "v2" }, { "created": "Fri, 17 Nov 2000 21:23:52 GMT", "version": "v3" }, { "created": "Sat, 17 Feb 2001 20:38:31 GMT", "version": "v4" } ]

2009-10-31

[ [ "Gutperle", "Michael", "", "Harvard University" ], [ "Spalinski", "Michal", "", "Harvard\n University" ] ]

The dimensional reduction of eleven dimensional supergravity on a Calabi-Yau manifold gives N=2 supergravity in five dimensions with $h_{1,1}$ vector and $h_{2,1}+1$ hypermultiplets. In this paper instanton solutions are constructed which are responsible for nonperturbtative corrections to the hypermultiplet moduli spaces. These instantons are wrapped Euclidean membranes and fivebranes. For vanishing fivebrane charge the BPS conditions for these solutions define a flow in the hypermultiplet moduli space and are isomorphic to the attractor equations for four dimensional black holes.

6.519009

5.769798

7.483973

5.461161

6.031644

5.5279

5.796136

5.550191

5.445825

8.077456

5.715025

5.905454

6.310083

5.980809

6.108672

5.814239

5.68119

5.947094

6.155098

6.440591

5.926232

hep-th/9906140

Maslowski Tomasz

Tomasz Mas{\l}owski and Stanis{\l}aw D. G{\l}azek

This manuscript (hep-th/9906140v1) is incomplete

Please read instead S. D. G{\l}azek, T. Mas{\l}owski, Renormalized Poincar\'e algebra for effective particles in quantum field theory, Phys.Rev. D65 (2002) 065011, (hep-th/0110185)

null

hep-th

null

This manuscript (hep-th/9906140v1) is incomplete. Please read instead S. D. G{\l}azek, T. Mas{\l}owski, Renormalized Poincar\'e algebra for effective particles in quantum field theory, Phys.Rev. D65 (2002) 065011, (hep-th/0110185).

[ { "created": "Fri, 18 Jun 1999 08:27:22 GMT", "version": "v1" }, { "created": "Sun, 1 Jul 2007 12:23:56 GMT", "version": "v2" } ]

2007-07-01

[ [ "Masłowski", "Tomasz", "" ], [ "Głazek", "Stanisław D.", "" ] ]

This manuscript (hep-th/9906140v1) is incomplete. Please read instead S. D. G{\l}azek, T. Mas{\l}owski, Renormalized Poincar\'e algebra for effective particles in quantum field theory, Phys.Rev. D65 (2002) 065011, (hep-th/0110185).

13.624521

10.956601

15.757811

10.880931

12.666968

10.98377

12.198189

12.065347

10.769377

12.530427

11.13952

11.248816

11.182902

11.422954

11.363337

11.3464

11.072111

11.395877

10.771491

10.933134

10.817512

1110.1636

Ahmad Borzou

Ahmad Borzou, Kai Lin, and Anzhong Wang

Static electromagnetic fields and charged black holes in general covariant theory of Horava-Lifshitz gravity

8 pages, To appear in JCAP

JCAP 02 (2012) 025

10.1088/1475-7516/2012/02/025

null

hep-th gr-qc

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

In this paper, we study electromeganetic static spacetimes in the nonrelativisitc general covariant theory of the Horava-Lifshitz (HL) gravity, proposed recently by Horava and Melby-Thompson, and present all the electric static solutions, which represent the generalization of the Reissner-Nordstrom solution found in Einstein's general relativity (GR). The global/local structures of spacetimes in the HL theory in general are different from those given in GR, because the dispersion relations of test particles now contain high-order momentum terms, so the speeds of these particles are unbounded in the ultraviolet (UV). As a result, the conception of light-cones defined in GR becomes invalid and test particles do not follow geodesics. To study black holes in the HL theory, we adopt the geometrical optical approximations, and define a horizon as a (two-closed) surface that is free of spacetime singularities and on which massless test particles are infinitely redshifted. With such a definition, we show that some of our solutions give rise to (charged) black holes, although the radii of their horizons in general depend on the energies of the test particles.

[ { "created": "Fri, 7 Oct 2011 20:00:33 GMT", "version": "v1" }, { "created": "Mon, 23 Jan 2012 17:20:20 GMT", "version": "v2" } ]

2012-04-02

[ [ "Borzou", "Ahmad", "" ], [ "Lin", "Kai", "" ], [ "Wang", "Anzhong", "" ] ]

In this paper, we study electromeganetic static spacetimes in the nonrelativisitc general covariant theory of the Horava-Lifshitz (HL) gravity, proposed recently by Horava and Melby-Thompson, and present all the electric static solutions, which represent the generalization of the Reissner-Nordstrom solution found in Einstein's general relativity (GR). The global/local structures of spacetimes in the HL theory in general are different from those given in GR, because the dispersion relations of test particles now contain high-order momentum terms, so the speeds of these particles are unbounded in the ultraviolet (UV). As a result, the conception of light-cones defined in GR becomes invalid and test particles do not follow geodesics. To study black holes in the HL theory, we adopt the geometrical optical approximations, and define a horizon as a (two-closed) surface that is free of spacetime singularities and on which massless test particles are infinitely redshifted. With such a definition, we show that some of our solutions give rise to (charged) black holes, although the radii of their horizons in general depend on the energies of the test particles.

9.307452

9.323915

9.379698

8.296324

7.941358

8.90947

8.711724

8.798248

8.483829

10.718472

8.235477

8.48679

8.664656

8.477529

8.3112

8.514799

8.491342

8.503222

8.362462

8.957888

8.341059

hep-th/9707117

Marcos Alvarez

Physical states of dyons

9 pages, no figures

null

SWAT-97-156

hep-th

null

It is shown that physical states of a non-abelian Yang-Mills-Higgs dyon are invariant under large gauge transformations that do not commute with its magnetic field. This result is established within an enlarged Hamiltonian formalism where surface terms are kept as dynamical variables. These additional variables are parameters of large gauge transformations, and are potential collective coordinates for the quantization of the monopole. Our result implies that there are no physical effects associated to some large gauge transformations and therefore their parameters should not be counted as collective coordinates.

[ { "created": "Fri, 11 Jul 1997 16:05:30 GMT", "version": "v1" } ]

2007-05-23

[ [ "Alvarez", "Marcos", "" ] ]

It is shown that physical states of a non-abelian Yang-Mills-Higgs dyon are invariant under large gauge transformations that do not commute with its magnetic field. This result is established within an enlarged Hamiltonian formalism where surface terms are kept as dynamical variables. These additional variables are parameters of large gauge transformations, and are potential collective coordinates for the quantization of the monopole. Our result implies that there are no physical effects associated to some large gauge transformations and therefore their parameters should not be counted as collective coordinates.

11.630434

12.275277

10.872311

11.125287

12.374863

10.836724

11.595262

10.403049

11.026896

11.734612

10.865058

10.858962

10.538136

10.713018

10.726948

10.458318

10.385286

10.878212

10.779043

11.0263

10.465663

0904.0449

Diego Trancanelli

Emergent geometry in N=6 Chern-Simons-matter theory

6 pages. Talk given at the "BIRS Workshop on Gauge Fields, Cosmology, and Mathematical String Theory", Banff (Canada), Feb. 1 - 6, 2009; v2: reference added

null

NSF-KITP-09-60

hep-th

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

We investigate a strong coupling expansion of N=6 superconformal Chern-Simons theory obtained from the semiclassical analysis of low energy, effective degrees of freedom given by the eigenvalues of a certain matrix model. We show how the orbifolded sphere S^7/Z_k of the dual geometry emerges dynamically from the distribution of the eigenvalues. As a test of this approach we compute the energy of off-diagonal excitations, finding perfect agreement with the dispersion relation of giant magnons.

[ { "created": "Thu, 2 Apr 2009 19:44:38 GMT", "version": "v1" }, { "created": "Wed, 13 May 2009 16:54:22 GMT", "version": "v2" } ]

2009-05-13

[ [ "Trancanelli", "Diego", "" ] ]

We investigate a strong coupling expansion of N=6 superconformal Chern-Simons theory obtained from the semiclassical analysis of low energy, effective degrees of freedom given by the eigenvalues of a certain matrix model. We show how the orbifolded sphere S^7/Z_k of the dual geometry emerges dynamically from the distribution of the eigenvalues. As a test of this approach we compute the energy of off-diagonal excitations, finding perfect agreement with the dispersion relation of giant magnons.

11.566307

9.731903

11.88503

10.2483

11.067857

10.536536

10.974369

9.904517

9.931322

12.763729

9.64117

9.794715

10.540443

10.108086

10.290529

9.970585

10.393048

10.132456

10.695381

10.926573

10.41114

2210.14705

Davide De Biasio

Davide De Biasio, Julian Freigang, Dieter Lust and Toby Wiseman

Gradient flow of Einstein-Maxwell theory and Reissner-Nordstr\"om black holes

46 pages, 12 figures

null

hep-th

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

Ricci flow is a natural gradient flow of the Einstein-Hilbert action. Here we consider the analog for the Einstein-Maxwell action, which gives Ricci flow with a stress tensor contribution coupled to a Yang-Mills flow for the Maxwell field. We argue that this flow is well-posed for static spacetimes with pure electric or magnetic potentialsand show it preserves both non-extremal and extremal black hole horizons. In the latter case we find the flow of the near horizon geometry decouples from that of the exterior. The Schwarzschild black hole is an unstable fixed point of Ricci flow for static spacetimes. Here we consider flows of the Reissner-Nordstr\"om (RN) fixed point. The magnetic RN solution becomes a stable fixed point of the flow for sufficient charge. However we find that the electric RN black hole is always unstable. Numerically solving the flow starting with a spherically symmetric perturbation of a non-extremal RN solution, we find similar behaviour in the electric case to the Ricci flows of perturbed Schwarzschild, namely the horizon shrinks to a singularity in finite time or expands forever. In the magnetic case, a perturbed unstable RN solution has a similar expanding behaviour, but a perturbation that decreases the horizon size flows to a stable black hole solution rather than a singularity. For extremal RN we solve the near horizon flow for spherical symmetry exactly, and see in the electric case two unstable directions which flow to singularities in finite flow time. However, even turning these off, and fixing the near horizon geometry to be that of RN, we numerically show that the flows appear to become singular in the vicinity of its horizon.

[ { "created": "Wed, 26 Oct 2022 13:33:37 GMT", "version": "v1" } ]

2022-10-27

[ [ "De Biasio", "Davide", "" ], [ "Freigang", "Julian", "" ], [ "Lust", "Dieter", "" ], [ "Wiseman", "Toby", "" ] ]

Ricci flow is a natural gradient flow of the Einstein-Hilbert action. Here we consider the analog for the Einstein-Maxwell action, which gives Ricci flow with a stress tensor contribution coupled to a Yang-Mills flow for the Maxwell field. We argue that this flow is well-posed for static spacetimes with pure electric or magnetic potentialsand show it preserves both non-extremal and extremal black hole horizons. In the latter case we find the flow of the near horizon geometry decouples from that of the exterior. The Schwarzschild black hole is an unstable fixed point of Ricci flow for static spacetimes. Here we consider flows of the Reissner-Nordstr\"om (RN) fixed point. The magnetic RN solution becomes a stable fixed point of the flow for sufficient charge. However we find that the electric RN black hole is always unstable. Numerically solving the flow starting with a spherically symmetric perturbation of a non-extremal RN solution, we find similar behaviour in the electric case to the Ricci flows of perturbed Schwarzschild, namely the horizon shrinks to a singularity in finite time or expands forever. In the magnetic case, a perturbed unstable RN solution has a similar expanding behaviour, but a perturbation that decreases the horizon size flows to a stable black hole solution rather than a singularity. For extremal RN we solve the near horizon flow for spherical symmetry exactly, and see in the electric case two unstable directions which flow to singularities in finite flow time. However, even turning these off, and fixing the near horizon geometry to be that of RN, we numerically show that the flows appear to become singular in the vicinity of its horizon.

8.139091

8.617337

8.199881

8.407135

8.842174

8.541964

8.968478

8.162642

8.318761

8.626816

8.393362

8.118168

8.069

7.742609

7.900157

7.863443

7.988039

7.861125

8.007102

8.186347

7.779941

2201.07807

David Tennyson

Alex S. Arvanitakis, Emanuel Malek and David Tennyson

Romans massive QP manifolds

V2 - References and discussion added

null

hep-th

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

We introduce QP manifolds that capture the generalised geometry of type IIA string backgrounds with Ramond-Ramond fluxes and Romans mass. Each of these is associated to a BPS brane in type IIA: a D2, D4, or NS5-brane. We explain how these probe branes are related to their associated QP-manifolds via the AKSZ topological field theory construction and the recent brane phase space construction. M-theory/type IIA duality is realised on the QP-manifold side as symplectic reduction along the M-theory circle (for branes that do not wrap it); this always produces IIA QP-manifolds with vanishing Romans mass.

[ { "created": "Wed, 19 Jan 2022 19:00:04 GMT", "version": "v1" }, { "created": "Mon, 14 Feb 2022 12:11:41 GMT", "version": "v2" } ]

2022-02-15

[ [ "Arvanitakis", "Alex S.", "" ], [ "Malek", "Emanuel", "" ], [ "Tennyson", "David", "" ] ]

We introduce QP manifolds that capture the generalised geometry of type IIA string backgrounds with Ramond-Ramond fluxes and Romans mass. Each of these is associated to a BPS brane in type IIA: a D2, D4, or NS5-brane. We explain how these probe branes are related to their associated QP-manifolds via the AKSZ topological field theory construction and the recent brane phase space construction. M-theory/type IIA duality is realised on the QP-manifold side as symplectic reduction along the M-theory circle (for branes that do not wrap it); this always produces IIA QP-manifolds with vanishing Romans mass.

9.445289

9.23807

12.10278

8.53575

8.873334

8.751841

8.998254

9.382957

8.933132

11.05808

8.806001

8.738955

9.480866

8.884706

8.790688

8.737172

8.965518

8.621271

8.734616

9.960684

8.931725

hep-th/9310185

null

David McMullan and Izumi Tsutsui

BPST instanton and Spin from inequivalent quantizations

11 pages, plain TeX, PLY-MS-93-04, DIAS-STP-93-21 (This version should now TeX)

Phys.Lett. B320 (1994) 287-293

10.1016/0370-2693(94)90658-0

null

hep-th

null

We present a simple alternative to Mackey's account of the (infinite) inequivalent quantizations possible on a coset space G/H. Our reformulation is based on the reduction ${\rm G \rightarrow G/H}$ and employs a generalized form of Dirac's approach to the quantization of constrained systems. When applied to the four-sphere $S^4 \simeq {\rm Spin(5)/Spin(4)}$, the inequivalent quantizations induce relativistic spin and a background BPST instanton; thus they might provide a natural account of both of these physical entities.

[ { "created": "Thu, 28 Oct 1993 14:01:52 GMT", "version": "v1" }, { "created": "Tue, 2 Nov 1993 10:00:22 GMT", "version": "v2" } ]

2009-10-22

[ [ "McMullan", "David", "" ], [ "Tsutsui", "Izumi", "" ] ]

We present a simple alternative to Mackey's account of the (infinite) inequivalent quantizations possible on a coset space G/H. Our reformulation is based on the reduction ${\rm G \rightarrow G/H}$ and employs a generalized form of Dirac's approach to the quantization of constrained systems. When applied to the four-sphere $S^4 \simeq {\rm Spin(5)/Spin(4)}$, the inequivalent quantizations induce relativistic spin and a background BPST instanton; thus they might provide a natural account of both of these physical entities.

12.336343

11.714594

11.205722

10.387088

11.420103

10.883149

10.770756

10.671642

10.599087

14.026265

11.276643

10.82288

11.040302

10.667926

10.135517

10.571374

10.909593

10.827407

10.980438

11.272939

11.159807

0802.1753

Allan Joseph Michael Medved

A.J.M. Medved

A Comment or two on Holographic Dark Energy

18 pages; (v2) an oversight in Section 2.1 is rectified and a few citations added

Gen.Rel.Grav.41:287-303,2009

10.1007/s10714-008-0674-9

null

hep-th gr-qc

null

It has, quite recently, become fashionable to study a certain class of holographic-inspired models for the dark energy. These investigations have, indeed, managed to make some significant advances towards explaining the empirical data. Nonetheless, surprisingly little thought has been given to conceptual issues such as the composition and the very nature of the implicated energy source. In the current discourse, we attempt to fill this gap by the way of some speculative yet logically self-consistent arguments. Our construction takes us along a path that begins with an entanglement entropy and ends up at a Hubble-sized gas of exotic particles. Moreover, our interpretation of the dark energy turns out to be suggestive of a natural resolution to the cosmic-coincidence problem.

[ { "created": "Wed, 13 Feb 2008 11:33:55 GMT", "version": "v1" }, { "created": "Wed, 20 Feb 2008 20:45:17 GMT", "version": "v2" } ]

2009-02-18

[ [ "Medved", "A. J. M.", "" ] ]

It has, quite recently, become fashionable to study a certain class of holographic-inspired models for the dark energy. These investigations have, indeed, managed to make some significant advances towards explaining the empirical data. Nonetheless, surprisingly little thought has been given to conceptual issues such as the composition and the very nature of the implicated energy source. In the current discourse, we attempt to fill this gap by the way of some speculative yet logically self-consistent arguments. Our construction takes us along a path that begins with an entanglement entropy and ends up at a Hubble-sized gas of exotic particles. Moreover, our interpretation of the dark energy turns out to be suggestive of a natural resolution to the cosmic-coincidence problem.

17.749153

15.030462

15.526149

15.941932

15.319791

15.933765

15.125899

16.048372

15.031029

16.990191

15.032864

15.166815

15.687727

15.341422

15.548756

15.457718

15.379682

15.016321

15.652518

15.377749

15.75123

1805.05497

James Gray

Lara. B. Anderson, James Gray and Brian Hammack

Fibrations in Non-simply Connected Calabi-Yau Quotients

18 pages, 3 figures

null

10.1007/JHEP08(2018)128

null

hep-th

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

In this work we study genus one fibrations in Calabi-Yau three-folds with a non-trivial first fundamental group. The manifolds under consideration are constructed as smooth quotients of complete intersection Calabi-Yau three-folds (CICYs) by a freely acting, discrete automorphism. By probing the compatibility of symmetries with genus one fibrations (that is, discrete group actions which preserve a local decomposition of the manifold into fiber and base) we find fibrations that are inherited from fibrations on the covering spaces. Of the 7,890 CICY three-folds, 195 exhibit known discrete symmetries, leading to a total of 1,695 quotient manifolds. By scanning over 20,700 fiber/symmetry pairs on the covering spaces we find 17,161 fibrations on the quotient Calabi-Yau manifolds. It is found that the vast majority of the non-simply connected manifolds studied exhibit multiple different genus one fibrations - echoing a similar ubiquity of such structures that has been observed in other data sets. The results are available at http://www1.phys.vt.edu/quotientdata/. The possible base manifolds are all singular and are catalogued. These Calabi-Yau fibrations generically exhibit multiple fibers and are of interest in F-theory as backgrounds leading to theories with superconformal loci and discretely charged matter.

[ { "created": "Tue, 15 May 2018 00:08:57 GMT", "version": "v1" } ]

2018-09-26

[ [ "Anderson", "Lara. B.", "" ], [ "Gray", "James", "" ], [ "Hammack", "Brian", "" ] ]

In this work we study genus one fibrations in Calabi-Yau three-folds with a non-trivial first fundamental group. The manifolds under consideration are constructed as smooth quotients of complete intersection Calabi-Yau three-folds (CICYs) by a freely acting, discrete automorphism. By probing the compatibility of symmetries with genus one fibrations (that is, discrete group actions which preserve a local decomposition of the manifold into fiber and base) we find fibrations that are inherited from fibrations on the covering spaces. Of the 7,890 CICY three-folds, 195 exhibit known discrete symmetries, leading to a total of 1,695 quotient manifolds. By scanning over 20,700 fiber/symmetry pairs on the covering spaces we find 17,161 fibrations on the quotient Calabi-Yau manifolds. It is found that the vast majority of the non-simply connected manifolds studied exhibit multiple different genus one fibrations - echoing a similar ubiquity of such structures that has been observed in other data sets. The results are available at http://www1.phys.vt.edu/quotientdata/. The possible base manifolds are all singular and are catalogued. These Calabi-Yau fibrations generically exhibit multiple fibers and are of interest in F-theory as backgrounds leading to theories with superconformal loci and discretely charged matter.

10.111856

10.561537

12.338712

9.769126

10.13097

10.051152

10.56063

9.85206

9.444399

11.802434

9.962268

9.605849

10.270494

9.688257

9.319077

9.653468

9.597527

9.613995

9.692889

10.124687

9.762355

2010.10877

Emil Akhmedov

E.T. Akhmedov, P.A. Anempodistov, K.V. Bazarov, D.V. Diakonov, U. Moschella

Heating up an environment around black holes and inside de Sitter space

24 pages, 4 figures; The version to appear in PRD, the title has been changed again according to the agreement with the editor

Phys. Rev. D 103, 025023 (2021)

10.1103/PhysRevD.103.025023

null

hep-th

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

We study quantum fields on spacetimes having a bifurcate Killing horizon by allowing the possibility that left- and right- (in-going and out-going) modes have different temperatures. We consider in particular the Rindler for both massless and massive fields, the static de Sitter and Schwarzschild black hole backgrounds for massive fields. We find that in all three cases, when any of the temperatures is different from the canonical one (Unruh, Hawking and Gibbons--Hawking, correspondingly) the correlation functions have extra singularities at the horizon.

[ { "created": "Wed, 21 Oct 2020 10:08:46 GMT", "version": "v1" }, { "created": "Sun, 3 Jan 2021 08:07:21 GMT", "version": "v2" }, { "created": "Thu, 28 Jan 2021 07:36:02 GMT", "version": "v3" } ]

2021-02-03

[ [ "Akhmedov", "E. T.", "" ], [ "Anempodistov", "P. A.", "" ], [ "Bazarov", "K. V.", "" ], [ "Diakonov", "D. V.", "" ], [ "Moschella", "U.", "" ] ]

We study quantum fields on spacetimes having a bifurcate Killing horizon by allowing the possibility that left- and right- (in-going and out-going) modes have different temperatures. We consider in particular the Rindler for both massless and massive fields, the static de Sitter and Schwarzschild black hole backgrounds for massive fields. We find that in all three cases, when any of the temperatures is different from the canonical one (Unruh, Hawking and Gibbons--Hawking, correspondingly) the correlation functions have extra singularities at the horizon.

8.828139

8.672297

7.809462

8.167359

7.961749

8.50226

8.149823

7.621545

7.740885

8.304557

8.353718

8.488977

8.419005

8.263511

7.960385

8.297194

8.508135

7.978054

8.435628

8.377544

8.288394

hep-th/0412036

Artyom Yurov

A.V. Yurov, V.A. Yurov

The nonsingular brane solutions via the Darboux transformation

13 pages, 4 figures, RevTex, submitted to Phys.Rev. D

Phys.Rev. D72 (2005) 026003

10.1103/PhysRevD.72.026003

null

hep-th

null

We consider the Darboux transformation as a method of construction of exact nonsingular solutions describing the three-dimensional brane that interacts with five-dimensional gravity and the bulk scalar field. To make it work, the five-dimensional Einstein's equations and the Israel's conditions are being reduced to the Schr\"odinger equation with the jump-like potential and the wave functions sewing conditions in jump point correspondingly. We show further that it is always possible to choose the functions in Crum's determinants in such way, that the five-dimensional Ricci scalar $R$ will always be finite both on brane and in bulk. The new exact solutions being the generalizations of the model with the odd superpotential are presented. Described formalism is also appliable to the cases of more realistic branes with cosmological expansion. As an example, via the usage of the simple orbifold model ($S_1/{\Bbb Z}_2$) and one-time Darboux transformation we construct the models where the cosmological constant on the visible brane is exponentially small.

[ { "created": "Fri, 3 Dec 2004 12:59:39 GMT", "version": "v1" }, { "created": "Thu, 14 Apr 2005 10:18:33 GMT", "version": "v2" } ]

2009-11-10

[ [ "Yurov", "A. V.", "" ], [ "Yurov", "V. A.", "" ] ]

We consider the Darboux transformation as a method of construction of exact nonsingular solutions describing the three-dimensional brane that interacts with five-dimensional gravity and the bulk scalar field. To make it work, the five-dimensional Einstein's equations and the Israel's conditions are being reduced to the Schr\"odinger equation with the jump-like potential and the wave functions sewing conditions in jump point correspondingly. We show further that it is always possible to choose the functions in Crum's determinants in such way, that the five-dimensional Ricci scalar $R$ will always be finite both on brane and in bulk. The new exact solutions being the generalizations of the model with the odd superpotential are presented. Described formalism is also appliable to the cases of more realistic branes with cosmological expansion. As an example, via the usage of the simple orbifold model ($S_1/{\Bbb Z}_2$) and one-time Darboux transformation we construct the models where the cosmological constant on the visible brane is exponentially small.

14.993919

13.676885

14.823475

14.580652

15.161095

14.884072

15.604177

13.517721

14.256164

14.706476

13.918824

13.913386

14.142399

13.451503

13.474957

14.03073

14.18745

13.437662

13.505419

13.57082

13.859447

hep-th/0210175

Yonatan Zunger

Constructing exotic D-branes with infinite matrices in type IIA string theory

9 pages, revtex

null

SU-ITP/02-39

hep-th

null

We examine the set of objects which can be built in type IIA string theory by matrix methods using an infinite number of D0-branes. In addition to stacks of ordinary Dp-branes and branes in background fields, we find exotic states which cannot be constructed by other means. These states exhibit strongly noncommutative geometry, (e.g., partial derivatives on them do not commute) and some are conjectured to have Z_N-valued charges similar to those of the type I D-instanton. Real-valued charges are forbidden by Dirac quantization, leading to a nontrivial relationship between noncommutative topological invariants.

[ { "created": "Fri, 18 Oct 2002 06:41:07 GMT", "version": "v1" } ]

2007-05-23

[ [ "Zunger", "Yonatan", "" ] ]

We examine the set of objects which can be built in type IIA string theory by matrix methods using an infinite number of D0-branes. In addition to stacks of ordinary Dp-branes and branes in background fields, we find exotic states which cannot be constructed by other means. These states exhibit strongly noncommutative geometry, (e.g., partial derivatives on them do not commute) and some are conjectured to have Z_N-valued charges similar to those of the type I D-instanton. Real-valued charges are forbidden by Dirac quantization, leading to a nontrivial relationship between noncommutative topological invariants.

12.620051

12.68371

13.568196

12.362998

14.858249

13.375929

14.023335

12.661511

12.407605

15.244698

12.30346

11.751506

11.906957

11.548718

11.599565

11.742287

11.842917

11.558412

11.652679

12.848533

11.351925

2008.01269

Jingyi Chao

Jingyi Chao and Thomas Schaefer

Multiplicative noise and the diffusion of conserved densities

add an appendix, updated the references, 17 pages, 5 figures

null

10.1007/JHEP01(2021)071

null

hep-th cond-mat.quant-gas nucl-th

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

Stochastic fluid dynamics governs the long time tails of hydrodynamic correlation functions, and the critical slowing down of relaxation phenomena in the vicinity of a critical point in the phase diagram. In this work we study the role of multiplicative noise in stochastic fluid dynamics. Multiplicative noise arises from the dependence of transport coefficients, such as the diffusion constants for charge and momentum, on fluctuating hydrodynamic variables. We study long time tails and relaxation in the diffusion of a conserved density (model B), and a conserved density coupled to the transverse momentum density (model H). Careful attention is paid to fluctuation-dissipation relations. We observe that multiplicative noise contributes at the same order as non-linear interactions in model B, but is a higher order correction to the relaxation of a scalar density and the tail of the stress tensor correlation function in model H.

[ { "created": "Tue, 4 Aug 2020 01:53:01 GMT", "version": "v1" }, { "created": "Wed, 18 Nov 2020 04:10:42 GMT", "version": "v2" } ]

2021-02-03

[ [ "Chao", "Jingyi", "" ], [ "Schaefer", "Thomas", "" ] ]

Stochastic fluid dynamics governs the long time tails of hydrodynamic correlation functions, and the critical slowing down of relaxation phenomena in the vicinity of a critical point in the phase diagram. In this work we study the role of multiplicative noise in stochastic fluid dynamics. Multiplicative noise arises from the dependence of transport coefficients, such as the diffusion constants for charge and momentum, on fluctuating hydrodynamic variables. We study long time tails and relaxation in the diffusion of a conserved density (model B), and a conserved density coupled to the transverse momentum density (model H). Careful attention is paid to fluctuation-dissipation relations. We observe that multiplicative noise contributes at the same order as non-linear interactions in model B, but is a higher order correction to the relaxation of a scalar density and the tail of the stress tensor correlation function in model H.

7.384143

8.431742

7.526556

7.292233

7.995411

8.564769

9.341548

8.413067

7.854828

8.315354

8.126524

7.017903

7.31556

7.130337

7.061856

7.551406

7.372274

7.25056

7.149023

7.504397

7.468341

0904.3144

Uwe Trittmann

U. Trittmann, S. Pinsky

Effects of a fundamental mass term in two-dimensional super Yang-Mills theory

17 pp., 10 figs; substantially revised version to be published in Phys. Rev. D

Phys.Rev.D80:065005,2009

10.1103/PhysRevD.80.065005

null

hep-th

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

We show that adding a vacuum expectation value to a gauge field left over from a dimensional reduction of three-dimensional pure supersymmetric Yang-Mills theory generates mass terms for the fundamental fields in the two-dimensional theory while supersymmetry stays intact. This is similar to the adjoint mass term that is generated by a Chern-Simons term in this theory. We study the spectrum of the two-dimensional theory as a function of the vacuum expectation value and of the Chern-Simons coupling. Apart from some symmetry issues a straightforward picture arises. We show that at least one massless state exists if the Chern-Simons coupling vanishes. The numerical spectrum separates into (almost) massless and very heavy states as the Chern-Simons coupling grows. We present evidence that the gap survives the continuum limit. We display structure functions and other properties of some of the bound states.

[ { "created": "Tue, 21 Apr 2009 00:02:47 GMT", "version": "v1" }, { "created": "Thu, 11 Jun 2009 15:30:19 GMT", "version": "v2" }, { "created": "Thu, 27 Aug 2009 20:28:10 GMT", "version": "v3" } ]

2009-09-24

[ [ "Trittmann", "U.", "" ], [ "Pinsky", "S.", "" ] ]

We show that adding a vacuum expectation value to a gauge field left over from a dimensional reduction of three-dimensional pure supersymmetric Yang-Mills theory generates mass terms for the fundamental fields in the two-dimensional theory while supersymmetry stays intact. This is similar to the adjoint mass term that is generated by a Chern-Simons term in this theory. We study the spectrum of the two-dimensional theory as a function of the vacuum expectation value and of the Chern-Simons coupling. Apart from some symmetry issues a straightforward picture arises. We show that at least one massless state exists if the Chern-Simons coupling vanishes. The numerical spectrum separates into (almost) massless and very heavy states as the Chern-Simons coupling grows. We present evidence that the gap survives the continuum limit. We display structure functions and other properties of some of the bound states.

9.724168

10.586013

10.264744

9.323959

10.214426

9.36387

11.20129

9.649918

9.715508

10.051991

9.622337

9.526501

9.799191

9.629509

9.706812

9.614976

9.637366

9.781476

9.529272

9.685664

9.246877

2210.10794

Daniel Grumiller

Arjun Bagchi, Daniel Grumiller, and M.M. Sheikh-Jabbari

Horizon Strings as 3d Black Hole Microstates

24pp; v2: considerably extended version with details and text added but otherwise same content, v3: converted to SciPost style

SciPost Phys. 15, 210 (2023)

10.21468/SciPostPhys.15.5.210

TUW-22-05

hep-th gr-qc

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

We propose that 3d black holes are an ensemble of tensionless null string states. These microstates typically have non-zero winding. We evaluate their partition function in the limit of large excitation numbers and show that their combinatorics reproduces the Bekenstein-Hawking entropy and its semiclassical logarithmic corrections.

[ { "created": "Wed, 19 Oct 2022 18:00:02 GMT", "version": "v1" }, { "created": "Tue, 23 May 2023 09:08:11 GMT", "version": "v2" }, { "created": "Sat, 7 Oct 2023 17:31:19 GMT", "version": "v3" } ]

2023-11-29

[ [ "Bagchi", "Arjun", "" ], [ "Grumiller", "Daniel", "" ], [ "Sheikh-Jabbari", "M. M.", "" ] ]

We propose that 3d black holes are an ensemble of tensionless null string states. These microstates typically have non-zero winding. We evaluate their partition function in the limit of large excitation numbers and show that their combinatorics reproduces the Bekenstein-Hawking entropy and its semiclassical logarithmic corrections.

16.518965

13.585501

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12.891318

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13.755841

12.882488

13.328748

14.004906

15.888885

12.743587

13.866331

15.663068

14.312518

14.18504

13.842007

13.992603

13.940903

14.488208

16.361534

13.949727

2104.08070

Cheng-Yong Zhang

Peng Liu, Chao Niu, Zi-Jian Shi, Cheng-Yong Zhang

Entanglement Wedge Minimum Cross-section in Holographic Massive Gravity Theory

27 pages, 15 figures

null

10.1007/JHEP08(2021)113

null

hep-th

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

We study the entanglement wedge cross-section (EWCS) in holographic massive gravity theory, in which a first and second-order phase transition can occur. We find that the mixed state entanglement measures, the EWCS and mutual information (MI) can characterize the phase transitions. The EWCS and MI show exactly the opposite behavior in the critical region, which suggests that the EWCS captures distinct degrees of freedom from that of the MI. More importantly, EWCS, MI and HEE all show the same scaling behavior in the critical region. We give an analytical understanding of this phenomenon. By comparing the quantum information behavior in the thermodynamic phase transition of holographic superconductors, we analyze the relationship and difference between them, and provide two mechanisms of quantum information scaling behavior in the thermodynamic phase transition.

[ { "created": "Fri, 16 Apr 2021 12:34:42 GMT", "version": "v1" }, { "created": "Thu, 20 May 2021 14:58:00 GMT", "version": "v2" } ]

2021-09-15

[ [ "Liu", "Peng", "" ], [ "Niu", "Chao", "" ], [ "Shi", "Zi-Jian", "" ], [ "Zhang", "Cheng-Yong", "" ] ]

We study the entanglement wedge cross-section (EWCS) in holographic massive gravity theory, in which a first and second-order phase transition can occur. We find that the mixed state entanglement measures, the EWCS and mutual information (MI) can characterize the phase transitions. The EWCS and MI show exactly the opposite behavior in the critical region, which suggests that the EWCS captures distinct degrees of freedom from that of the MI. More importantly, EWCS, MI and HEE all show the same scaling behavior in the critical region. We give an analytical understanding of this phenomenon. By comparing the quantum information behavior in the thermodynamic phase transition of holographic superconductors, we analyze the relationship and difference between them, and provide two mechanisms of quantum information scaling behavior in the thermodynamic phase transition.

8.610833

8.176724

9.035942

7.877697

8.194793

8.486765

7.64571

7.957541

7.962762

9.928597

7.852461

8.018508

8.402664

8.256084

8.081959

8.248858

8.167688

7.762128

7.921679

8.884217

7.929289

1001.5343

Shingo Takeuchi

Youngman Kim, Yoshinori Matsuo, Woojoo Sim, Shingo Takeuchi, Takuya Tsukioka

Quark Number Susceptibility with Finite Chemical Potential in Holographic QCD

25 pages, 3 figures, published version

JHEP 1005:038,2010

10.1007/JHEP05(2010)038

APCTP-Pre2010-001, HRI/ST/1002

hep-th hep-ph

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

We study the quark number susceptibility in holographic QCD with a finite chemical potential or under an external magnetic field at finite temperature. We first consider the quark number susceptibility with the chemical potential. We observe that approaching the critical temperature from high temperature regime, the quark number susceptibility divided by temperature square develops a peak as we increase the chemical potential, which confirms recent lattice QCD results. We discuss this behavior in connection with the existence of the critical end point in the QCD phase diagram. We also consider the quark number susceptibility under the external magnetic field. We predict that the quark number susceptibility exhibits a blow-up behavior at low temperature as we raise the value of the magnetic field. We finally spell out some limitations of our study.

[ { "created": "Fri, 29 Jan 2010 07:46:50 GMT", "version": "v1" }, { "created": "Sun, 23 May 2010 14:56:17 GMT", "version": "v2" } ]

2014-11-20

[ [ "Kim", "Youngman", "" ], [ "Matsuo", "Yoshinori", "" ], [ "Sim", "Woojoo", "" ], [ "Takeuchi", "Shingo", "" ], [ "Tsukioka", "Takuya", "" ] ]

We study the quark number susceptibility in holographic QCD with a finite chemical potential or under an external magnetic field at finite temperature. We first consider the quark number susceptibility with the chemical potential. We observe that approaching the critical temperature from high temperature regime, the quark number susceptibility divided by temperature square develops a peak as we increase the chemical potential, which confirms recent lattice QCD results. We discuss this behavior in connection with the existence of the critical end point in the QCD phase diagram. We also consider the quark number susceptibility under the external magnetic field. We predict that the quark number susceptibility exhibits a blow-up behavior at low temperature as we raise the value of the magnetic field. We finally spell out some limitations of our study.

6.256004

6.372617

6.292571

5.74126

6.270852

6.427254

6.257529

6.646447

6.058196

6.209513

6.085104

6.011715

6.120765

6.106889

5.992446

5.987404

6.074839

6.008215

6.084455

6.218545

5.998344

1303.0622

Boris A. Arbuzov

Boris A. Arbuzov and Ivan V. Zaitsev

Elimination of the Landau pole in QCD with the spontaneously generated anomalous three-gluon interaction

9 pages, 5 figures. arXiv admin note: text overlap with arXiv:1103.3951, arXiv:0901.3997, arXiv:1107.5164, arXiv:hep-ph/0703237

null

hep-th hep-ph

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

We apply the Bogoliubov compensation principle to QCD. The non-trivial solution of compensation equations for a spontaneous generation of the anomalous three-gluon interaction leads to the determination of parameters of the theory, including behavior of the gauge coupling $\alpha_s(Q^2)$ without the Landau singularity, the gluon condensate $V_2\,\simeq\,0.01\,GeV^4$, mass of the lightest glueball $M_G\,\simeq\,1500\,MeV$ in satisfactory agreement with the phenomenological knowledge. The results strongly support the applicability of N.N. Bogoliubov compensation approach to gauge theories of the Standard Model.

[ { "created": "Mon, 4 Mar 2013 07:10:22 GMT", "version": "v1" } ]

2013-03-05

[ [ "Arbuzov", "Boris A.", "" ], [ "Zaitsev", "Ivan V.", "" ] ]

We apply the Bogoliubov compensation principle to QCD. The non-trivial solution of compensation equations for a spontaneous generation of the anomalous three-gluon interaction leads to the determination of parameters of the theory, including behavior of the gauge coupling $\alpha_s(Q^2)$ without the Landau singularity, the gluon condensate $V_2\,\simeq\,0.01\,GeV^4$, mass of the lightest glueball $M_G\,\simeq\,1500\,MeV$ in satisfactory agreement with the phenomenological knowledge. The results strongly support the applicability of N.N. Bogoliubov compensation approach to gauge theories of the Standard Model.

8.160954

8.874589

6.416996

6.321206

7.905329

8.724306

7.751674

8.254006

6.454368

6.337414

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7.751214

7.172414

7.176247

7.768003

7.898959

7.547502

7.524705

7.402616

7.524601

7.895397

hep-th/0303230

David Berenstein

D-brane realizations of runaway behavior and moduli stabilization

15 pages, 3 figures

null

hep-th

null

In this paper we find examples of moduli stabilization and runaway behavior which can be treated exactly. This is shown for supersymmetric field theories which can be realized on the world volume of D-branes. From a geometric point of view, these field theories lift moduli spaces of vacua by deforming lines of singularities where supersymmetric fractional branes can be located in the geometry without D-branes.

[ { "created": "Wed, 26 Mar 2003 17:50:58 GMT", "version": "v1" } ]

2007-05-23

[ [ "Berenstein", "David", "" ] ]

In this paper we find examples of moduli stabilization and runaway behavior which can be treated exactly. This is shown for supersymmetric field theories which can be realized on the world volume of D-branes. From a geometric point of view, these field theories lift moduli spaces of vacua by deforming lines of singularities where supersymmetric fractional branes can be located in the geometry without D-branes.

16.778261

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16.079973

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16.65221

18.160147

17.699537

16.316078

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15.197879

15.991663

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