LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/9709224

Raphael Bousso

Raphael Bousso and Stephen Hawking (DAMTP, Cambridge)

(Anti-)Evaporation of Schwarzschild-de Sitter Black Holes

16 pages, LaTeX2e; submitted to Phys. Rev. D

Phys.Rev. D57 (1998) 2436-2442

10.1103/PhysRevD.57.2436

DAMTP/R-97/26

hep-th astro-ph gr-qc

null

We study the quantum evolution of black holes immersed in a de Sitter background space. For black holes whose size is comparable to that of the cosmological horizon, this process differs significantly from the evaporation of asymptotically flat black holes. Our model includes the one-loop effective action in the s-wave and large N approximation. Black holes of the maximal mass are in equilibrium. Unexpectedly, we find that nearly maximal quantum Schwarzschild-de Sitter black holes anti-evaporate. However, there is a different perturbative mode that leads to evaporation. We show that this mode will always be excited when a pair of cosmological holes nucleates.

[ { "created": "Tue, 30 Sep 1997 21:14:18 GMT", "version": "v1" } ]

2009-10-30

[ [ "Bousso", "Raphael", "", "DAMTP, Cambridge" ], [ "Hawking", "Stephen", "", "DAMTP, Cambridge" ] ]

We study the quantum evolution of black holes immersed in a de Sitter background space. For black holes whose size is comparable to that of the cosmological horizon, this process differs significantly from the evaporation of asymptotically flat black holes. Our model includes the one-loop effective action in the s-wave and large N approximation. Black holes of the maximal mass are in equilibrium. Unexpectedly, we find that nearly maximal quantum Schwarzschild-de Sitter black holes anti-evaporate. However, there is a different perturbative mode that leads to evaporation. We show that this mode will always be excited when a pair of cosmological holes nucleates.

10.670012

11.486385

11.053917

11.128012

11.899444

12.560254

11.101801

10.885755

10.078146

11.475936

10.652767

10.523421

10.839324

10.560811

10.368398

11.213026

10.762873

10.890032

10.309102

11.000518

10.394022

hep-th/0610031

Francisco Diego Mazzitelli

D. L\'opez Nacir and F.D. Mazzitelli

Running of Newton's constant and non integer powers of the d'Alembertian

16 pages, no figures. Introduction improved. References added. Version to appear in Phys. Rev. D

Phys.Rev.D75:024003,2007

10.1103/PhysRevD.75.024003

null

hep-th gr-qc

null

The running of Newton's constant can be taken into account by considering covariant, non local generalizations of the field equations of general relativity. These generalizations involve nonanalytic functions of the d'Alembertian, as $(-\Box)^{-\alpha}$, with $\alpha$ a non integer number, and $\ln[-\Box]$. In this paper we define these non local operators in terms of the usual two point function of a massive field. We analyze some of their properties, and present specific calculations in flat and Robertson Walker spacetimes.

[ { "created": "Mon, 2 Oct 2006 17:40:03 GMT", "version": "v1" }, { "created": "Sun, 10 Dec 2006 15:45:30 GMT", "version": "v2" } ]

2008-11-26

[ [ "Nacir", "D. López", "" ], [ "Mazzitelli", "F. D.", "" ] ]

The running of Newton's constant can be taken into account by considering covariant, non local generalizations of the field equations of general relativity. These generalizations involve nonanalytic functions of the d'Alembertian, as $(-\Box)^{-\alpha}$, with $\alpha$ a non integer number, and $\ln[-\Box]$. In this paper we define these non local operators in terms of the usual two point function of a massive field. We analyze some of their properties, and present specific calculations in flat and Robertson Walker spacetimes.

10.726706

8.325289

7.926191

7.77278

8.550093

8.874299

8.347031

7.907834

7.729832

8.2207

7.584525

8.093346

8.304566

8.185582

7.735859

7.990405

7.90255

7.780785

8.037846

7.840722

8.148122

hep-th/0102092

Sheikh-Jabbari Mohammad

M.M. Sheikh-Jabbari

A Note on Noncommutative Chern-Simons Theories

Latex file, 15 pages, no figures, v3: one reference added, typos in references fixed

Phys.Lett.B510:247-254,2001

10.1016/S0370-2693(01)00575-5

IC/2001/5

hep-th

null

The three dimensional Chern-Simons theory on $\rr^2_{\theta}\times \rr$ is studied. Considering the gauge transformations under the group elements which are going to one at infinity, we show that under arbitrary (finite) gauge transformations action changes with an integer multiple of $2\pi$ {\it if}, the level of noncommutaitive Chern-Simons is {\it quantized}. We also briefly discuss the case of the noncommutaitve torus and some other possible extensions.

[ { "created": "Thu, 15 Feb 2001 18:14:02 GMT", "version": "v1" }, { "created": "Tue, 27 Feb 2001 08:53:50 GMT", "version": "v2" }, { "created": "Thu, 5 Apr 2001 15:09:17 GMT", "version": "v3" } ]

2009-10-07

[ [ "Sheikh-Jabbari", "M. M.", "" ] ]

The three dimensional Chern-Simons theory on $\rr^2_{\theta}\times \rr$ is studied. Considering the gauge transformations under the group elements which are going to one at infinity, we show that under arbitrary (finite) gauge transformations action changes with an integer multiple of $2\pi$ {\it if}, the level of noncommutaitive Chern-Simons is {\it quantized}. We also briefly discuss the case of the noncommutaitve torus and some other possible extensions.

14.195377

13.270492

14.786973

12.418402

14.434763

14.328076

14.304641

12.686493

12.621872

15.892491

13.134377

12.577344

13.412884

12.095505

12.780121

12.831435

11.665517

12.244337

12.804185

13.297894

12.510477

hep-th/0604037

Jose A. de Azcarraga

Igor A. Bandos, Jose A. de Azcarraga and Cesar Miquel-Espanya

Superspace formulations of the (super)twistor string

Rev Tex, 13 pages, no figures

JHEP 0607:005,2006

10.1088/1126-6708/2006/07/005

FTUV-06-0405, IFIC/06-06

hep-th

null

The superspace formulation of the worldvolume action of twistor string models is considered. It is shown that for the Berkovits-Siegel closed twistor string such a formulation is provided by a N=4 twistor-like action of the tensionless superstring. A similar inverse twistor transform of the open twistor string model (Berkovits model) results in a dynamical system containing two copies of the D=4, N=4 superspace coordinate functions, one left-moving and one right-moving, that are glued by the boundary conditions. We also discuss possible candidates for a tensionful superstring action leading to the twistor string in the tensionless limit as well as multidimensional counterparts of twistor strings in the framework of both `standard' superspace and superspace enlarged by tensorial coordinates (tensorial superspaces), which constitute a natural framework for massless higher spin theories.

[ { "created": "Wed, 5 Apr 2006 18:15:08 GMT", "version": "v1" } ]

2011-07-19

[ [ "Bandos", "Igor A.", "" ], [ "de Azcarraga", "Jose A.", "" ], [ "Miquel-Espanya", "Cesar", "" ] ]

The superspace formulation of the worldvolume action of twistor string models is considered. It is shown that for the Berkovits-Siegel closed twistor string such a formulation is provided by a N=4 twistor-like action of the tensionless superstring. A similar inverse twistor transform of the open twistor string model (Berkovits model) results in a dynamical system containing two copies of the D=4, N=4 superspace coordinate functions, one left-moving and one right-moving, that are glued by the boundary conditions. We also discuss possible candidates for a tensionful superstring action leading to the twistor string in the tensionless limit as well as multidimensional counterparts of twistor strings in the framework of both `standard' superspace and superspace enlarged by tensorial coordinates (tensorial superspaces), which constitute a natural framework for massless higher spin theories.

10.570951

10.381753

12.29846

9.709185

9.801366

10.818948

10.279038

9.551228

10.022655

13.313159

9.578139

10.116018

10.950629

10.300564

10.366174

10.441918

10.573875

10.345106

9.99601

10.259618

10.322441

1412.7073

Shao-Jun Zhang

Shao-Jun Zhang, Bin Wang, Elcio Abdalla, Eleftherios Papantonopoulos

Holographic thermalization in Gauss-Bonnet gravity with de Sitter boundary

27 pages, 13 figures, minor modifications

Phys. Rev. D 91, 106010 (2015)

10.1103/PhysRevD.91.106010

null

hep-th gr-qc

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

We introduce higher-derivative Gauss-Bonnet correction terms in the gravity sector and we relate the modified gravity theory in the bulk to the strongly coupled quantum field theory on a de Sitter boundary. We study the process of holographic thermalization by examining three nonlocal observables, the two-point function, the Wilson loop and the holographic entanglement entropy. We study the time evolution of these three observables and we find that as the strength of the Gauss-Bonnet coupling is increased, the saturation time of the thermalization process to reach thermal equilibrium becomes shorter with the dominant effect given by the holographic entanglement entropy.

[ { "created": "Mon, 22 Dec 2014 18:11:09 GMT", "version": "v1" }, { "created": "Mon, 16 Feb 2015 17:15:09 GMT", "version": "v2" }, { "created": "Tue, 26 May 2015 15:28:49 GMT", "version": "v3" } ]

2015-06-03

[ [ "Zhang", "Shao-Jun", "" ], [ "Wang", "Bin", "" ], [ "Abdalla", "Elcio", "" ], [ "Papantonopoulos", "Eleftherios", "" ] ]

We introduce higher-derivative Gauss-Bonnet correction terms in the gravity sector and we relate the modified gravity theory in the bulk to the strongly coupled quantum field theory on a de Sitter boundary. We study the process of holographic thermalization by examining three nonlocal observables, the two-point function, the Wilson loop and the holographic entanglement entropy. We study the time evolution of these three observables and we find that as the strength of the Gauss-Bonnet coupling is increased, the saturation time of the thermalization process to reach thermal equilibrium becomes shorter with the dominant effect given by the holographic entanglement entropy.

8.51615

7.305432

7.634298

7.523371

7.345937

7.560726

7.559624

6.851007

7.336624

8.225607

7.537389

7.843323

7.843026

7.681408

7.900357

7.552645

7.3839

7.690564

7.726943

7.963921

7.801733

2203.09556

Michelangelo Preti

Andrea Cavagli\`a, Nikolay Gromov, Julius Julius, Michelangelo Preti

Bootstrability in Defect CFT: Integrated Correlators and Sharper Bounds

Appendix F added showing how another integral relation can be used to derive the bps part of the correlator from integrability alone. Ancillary file added with numerical and analytical conformal data. Other minor corrections

null

10.1007/JHEP05(2022)164

null

hep-th

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

We continue to develop Bootstrability -- a method merging Integrability and Conformal Bootstrap to extract CFT data in integrable conformal gauge theories such as $\mathcal{N}$=4 SYM. In this paper, we consider the 1D defect CFT defined on a $\frac{1}{2}$-BPS Wilson line in the theory, whose non-perturbative spectrum is governed by the Quantum Spectral Curve (QSC). In addition, we use that the deformed setup of a cusped Wilson line is also controlled by the QSC. In terms of the defect CFT, this translates into two nontrivial relations connecting integrated 4-point correlators to cusp spectral data, such as the Bremsstrahlung and Curvature functions -- known analytically from the QSC. Combining these new constraints and the spectrum of the $10$ lowest-lying states with the Numerical Conformal Bootstrap, we obtain very sharp rigorous numerical bounds for the structure constant of the first non-protected state, giving this observable with seven digits precision for the 't Hooft coupling in the intermediate coupling region $\frac{\sqrt{\lambda}}{4\pi}\sim 1$, with the error decreasing quickly at large 't Hooft coupling. Furthermore, for the same structure constant we obtain a $4$-loop analytic result at weak coupling. We also present results for excited states.

[ { "created": "Thu, 17 Mar 2022 18:38:29 GMT", "version": "v1" }, { "created": "Tue, 29 Mar 2022 17:52:36 GMT", "version": "v2" } ]

2022-06-08

[ [ "Cavaglià", "Andrea", "" ], [ "Gromov", "Nikolay", "" ], [ "Julius", "Julius", "" ], [ "Preti", "Michelangelo", "" ] ]

We continue to develop Bootstrability -- a method merging Integrability and Conformal Bootstrap to extract CFT data in integrable conformal gauge theories such as $\mathcal{N}$=4 SYM. In this paper, we consider the 1D defect CFT defined on a $\frac{1}{2}$-BPS Wilson line in the theory, whose non-perturbative spectrum is governed by the Quantum Spectral Curve (QSC). In addition, we use that the deformed setup of a cusped Wilson line is also controlled by the QSC. In terms of the defect CFT, this translates into two nontrivial relations connecting integrated 4-point correlators to cusp spectral data, such as the Bremsstrahlung and Curvature functions -- known analytically from the QSC. Combining these new constraints and the spectrum of the $10$ lowest-lying states with the Numerical Conformal Bootstrap, we obtain very sharp rigorous numerical bounds for the structure constant of the first non-protected state, giving this observable with seven digits precision for the 't Hooft coupling in the intermediate coupling region $\frac{\sqrt{\lambda}}{4\pi}\sim 1$, with the error decreasing quickly at large 't Hooft coupling. Furthermore, for the same structure constant we obtain a $4$-loop analytic result at weak coupling. We also present results for excited states.

9.854715

8.607933

10.040072

8.608959

8.838401

9.142994

9.091689

9.250908

8.56743

10.515761

9.145865

9.342023

9.135869

8.793673

8.710564

8.872196

8.941296

9.128309

8.889268

9.433446

9.009912

0908.2770

Enrique Moreno

E. F. Moreno, F. A. Schaposnik

R-symmetry and Supersymmetry Breaking at Finite Temperature

19 pages, 4 figures - Minor revisions, references added. To appear in JHEP

JHEP 0910:007,2009

10.1088/1126-6708/2009/10/007

null

hep-th

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

We analyze the spontaneous $U(1)_R$ symmetry breaking at finite temperature for the simple O'Raifeartaigh-type model introduced in [1] in connection with spontaneous supersymmetry breaking. We calculate the finite temperature effective potential (free energy) to one loop order and study the thermal evolution of the model. We find that the R-symmetry breaking occurs through a second order phase transition. Its associated meta-stable supersymmetry breaking vacuum is thermodynamically favored at high temperatures and the model remains trapped in this state by a potential barrier, as the temperature lowers all the way until T=0.

[ { "created": "Wed, 19 Aug 2009 15:05:41 GMT", "version": "v1" }, { "created": "Wed, 16 Sep 2009 19:13:06 GMT", "version": "v2" } ]

2009-11-09

[ [ "Moreno", "E. F.", "" ], [ "Schaposnik", "F. A.", "" ] ]

We analyze the spontaneous $U(1)_R$ symmetry breaking at finite temperature for the simple O'Raifeartaigh-type model introduced in [1] in connection with spontaneous supersymmetry breaking. We calculate the finite temperature effective potential (free energy) to one loop order and study the thermal evolution of the model. We find that the R-symmetry breaking occurs through a second order phase transition. Its associated meta-stable supersymmetry breaking vacuum is thermodynamically favored at high temperatures and the model remains trapped in this state by a potential barrier, as the temperature lowers all the way until T=0.

7.749226

7.468518

7.312862

6.755952

7.289101

7.467595

6.99493

7.072769

6.817024

7.916831

7.000443

7.168417

7.043171

6.86538

7.092633

7.264132

6.929029

7.324784

6.863256

7.247697

7.354703

1912.04198

Lionel J. Mason

Hadleigh Frost and Lionel Mason

Lie Polynomials and a Twistorial Correspondence for Amplitudes

null

hep-th gr-qc

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

We review Lie polynomials as a mathematical framework that underpins the structure of the so-called double copy relationship between gauge and gravity theories (and a network of other theories besides). We explain how Lie polynomials naturally arise in the geometry and cohomology of $\mathcal{M}_{0,n}$, the moduli space of $n$ points on the Riemann sphere up to Mobi\"us transformation. We introduce a twistorial correspondence between the cotangent bundle $T^*_D\mathcal{M}_{0,n}$, the bundle of forms with logarithmic singularities on the divisor $D$ as the twistor space, and $\mathcal{K}_n$ the space of momentum invariants of $n$ massless particles subject to momentum conservation as the analogue of space-time. This gives a natural framework for Cachazo He and Yuan (CHY) and ambitwistor-string formulae for scattering amplitudes of gauge and gravity theories as being the corresponding Penrose transform. In particular we show that it gives a natural correspondence between CHY half-integrands and scattering forms, certain $n-3$-forms on $\mathcal{K}_n$, introduced by Arkani-Hamed, Bai, He and Yan (ABHY). We also give a generalization and more invariant description of the associahedral $n-3$-planes in $\mathcal{K}_n$ introduced by ABHY.}

[ { "created": "Mon, 9 Dec 2019 17:24:19 GMT", "version": "v1" }, { "created": "Thu, 16 Jan 2020 23:30:15 GMT", "version": "v2" } ]

2020-01-20

[ [ "Frost", "Hadleigh", "" ], [ "Mason", "Lionel", "" ] ]

We review Lie polynomials as a mathematical framework that underpins the structure of the so-called double copy relationship between gauge and gravity theories (and a network of other theories besides). We explain how Lie polynomials naturally arise in the geometry and cohomology of $\mathcal{M}_{0,n}$, the moduli space of $n$ points on the Riemann sphere up to Mobi\"us transformation. We introduce a twistorial correspondence between the cotangent bundle $T^*_D\mathcal{M}_{0,n}$, the bundle of forms with logarithmic singularities on the divisor $D$ as the twistor space, and $\mathcal{K}_n$ the space of momentum invariants of $n$ massless particles subject to momentum conservation as the analogue of space-time. This gives a natural framework for Cachazo He and Yuan (CHY) and ambitwistor-string formulae for scattering amplitudes of gauge and gravity theories as being the corresponding Penrose transform. In particular we show that it gives a natural correspondence between CHY half-integrands and scattering forms, certain $n-3$-forms on $\mathcal{K}_n$, introduced by Arkani-Hamed, Bai, He and Yan (ABHY). We also give a generalization and more invariant description of the associahedral $n-3$-planes in $\mathcal{K}_n$ introduced by ABHY.}

7.334456

7.495619

9.050481

7.02579

7.569059

8.158949

7.289771

7.134238

7.325502

9.426082

7.106148

7.129145

7.198333

7.234279

7.157595

7.312817

7.093011

7.164766

7.330096

7.620412

7.279867

1512.08955

Dharmesh Jain

Deconstructing Deformed D-quivers

3+9+2 pages, 8 figures; Updated introduction & references with minor modifications of main text in v2

null

hep-th

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

We extend our previous analysis of d=3, N=3 supersymmetric Chern-Simons-matter theories of affine quiver types by including the Yang-Mills action and non-vanishing (complex) FI parameters (which break susy to N=2). We find that they can be interpreted as giving rise to non-canonical R-charges for the bifundamental fields. This leads to some straightforward generalizations of the 'canonical' volume/free energy (as in AdS/CFT) formulas and the cone construction for those volume formulas.

[ { "created": "Wed, 30 Dec 2015 14:50:10 GMT", "version": "v1" }, { "created": "Tue, 16 Feb 2016 12:45:15 GMT", "version": "v2" } ]

2016-02-17

[ [ "Jain", "Dharmesh", "" ] ]

We extend our previous analysis of d=3, N=3 supersymmetric Chern-Simons-matter theories of affine quiver types by including the Yang-Mills action and non-vanishing (complex) FI parameters (which break susy to N=2). We find that they can be interpreted as giving rise to non-canonical R-charges for the bifundamental fields. This leads to some straightforward generalizations of the 'canonical' volume/free energy (as in AdS/CFT) formulas and the cone construction for those volume formulas.

14.840877

13.116343

18.266571

13.576972

13.256376

14.505919

14.08678

13.628316

12.429009

17.898783

13.005514

13.850019

13.886447

13.643349

13.967652

13.27227

14.271788

14.229036

13.694367

14.30579

13.188213

1511.02028

Fen Zuo

Fen Zuo, Yi-Hong Gao

Hagedorn transition and topological entanglement entropy

Relation between the thermal entropy and entanglement entropy clarified, employing the Bisognano-Wichmann theorem, journal version

Nucl.Phys. B907 (2016) 764-784

10.1016/j.nuclphysb.2016.04.037

null

hep-th hep-lat hep-ph

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

Induced by the Hagedorn instability, weakly-coupled $U(N)$ gauge theories on a compact manifold exhibit a confinement/deconfinement phase transition in the large-$N$ limit. Recently we discover that the thermal entropy of a free theory on $\mathbb{S}^3$ gets reduced by a universal constant term, $-N^2/4$, compared to that from completely deconfined colored states. This entropy deficit is due to the persistence of Gauss's law, and actually independent of the shape of the manifold. In this paper we show that this universal term can be identified as the topological entangle entropy both in the corresponding $4+1 D$ bulk theory and the dimensionally reduced theory. First, entanglement entropy in the bulk theory contains the so-called "particle" contribution on the entangling surface, which naturally gives rise to an area-law term. The topological term results from the Gauss's constraint of these surface states. Secondly, the high-temperature limit also defines a dimensionally reduced theory. We calculate the geometric entropy in the reduced theory explicitly, and find that it is given by the same constant term after subtracting the leading term of ${\mathcal O}(\beta^{-1})$. The two procedures are then applied to the confining phase, by extending the temperature to the complex plane. Generalizing the recently proposed $2D$ modular description to an arbitrary matter content, we show the leading local term is missing and no topological term could be definitely isolated. For the special case of ${\mathcal N}=4$ super Yang-Mills theory, the results obtained here are compared with that at strong coupling from the holographic derivation.

[ { "created": "Fri, 6 Nov 2015 10:43:50 GMT", "version": "v1" }, { "created": "Mon, 11 Jan 2016 06:37:25 GMT", "version": "v2" }, { "created": "Wed, 25 May 2016 02:07:25 GMT", "version": "v3" } ]

2016-06-22

[ [ "Zuo", "Fen", "" ], [ "Gao", "Yi-Hong", "" ] ]

Induced by the Hagedorn instability, weakly-coupled $U(N)$ gauge theories on a compact manifold exhibit a confinement/deconfinement phase transition in the large-$N$ limit. Recently we discover that the thermal entropy of a free theory on $\mathbb{S}^3$ gets reduced by a universal constant term, $-N^2/4$, compared to that from completely deconfined colored states. This entropy deficit is due to the persistence of Gauss's law, and actually independent of the shape of the manifold. In this paper we show that this universal term can be identified as the topological entangle entropy both in the corresponding $4+1 D$ bulk theory and the dimensionally reduced theory. First, entanglement entropy in the bulk theory contains the so-called "particle" contribution on the entangling surface, which naturally gives rise to an area-law term. The topological term results from the Gauss's constraint of these surface states. Secondly, the high-temperature limit also defines a dimensionally reduced theory. We calculate the geometric entropy in the reduced theory explicitly, and find that it is given by the same constant term after subtracting the leading term of ${\mathcal O}(\beta^{-1})$. The two procedures are then applied to the confining phase, by extending the temperature to the complex plane. Generalizing the recently proposed $2D$ modular description to an arbitrary matter content, we show the leading local term is missing and no topological term could be definitely isolated. For the special case of ${\mathcal N}=4$ super Yang-Mills theory, the results obtained here are compared with that at strong coupling from the holographic derivation.

11.075077

12.774265

11.821962

11.393886

11.819878

12.17058

12.732385

11.747437

11.095651

13.136647

11.208222

10.948586

11.066163

10.90138

10.948601

11.104644

10.958585

11.026836

10.762801

11.275054

10.925146

1909.12736

Yakov Shnir

V. Klimashonok, I. Perapechka and Ya. Shnir

Fermions on the kink revisited

14 pages, 7 figures

Phys. Rev. D 100, 105003 (2019)

10.1103/PhysRevD.100.105003

null

hep-th nlin.PS

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

We study fermion modes localized on the kink in the 1+1 dimensional $\phi^4$ model, coupled to the Dirac fermions with backreaction. Using numerical methods we construct self-consistent solutions of the corresponding system of coupled integral-differential equations and study dependencies of the scalar field of the kink and the normalizable fermion bound states on the values of the values of the parameters of the model. We show that the backreaction of the localized fermions significantly modifies the solutions, in particular it results in spatial oscillations of the profile of the kink and violations of the reflection symmetry of the configuration.

[ { "created": "Fri, 27 Sep 2019 15:09:46 GMT", "version": "v1" } ]

2019-11-13

[ [ "Klimashonok", "V.", "" ], [ "Perapechka", "I.", "" ], [ "Shnir", "Ya.", "" ] ]

We study fermion modes localized on the kink in the 1+1 dimensional $\phi^4$ model, coupled to the Dirac fermions with backreaction. Using numerical methods we construct self-consistent solutions of the corresponding system of coupled integral-differential equations and study dependencies of the scalar field of the kink and the normalizable fermion bound states on the values of the values of the parameters of the model. We show that the backreaction of the localized fermions significantly modifies the solutions, in particular it results in spatial oscillations of the profile of the kink and violations of the reflection symmetry of the configuration.

7.819554

6.943494

7.167767

6.650279

6.726011

6.671192

6.923903

6.912891

6.695725

7.550303

6.622721

6.843607

7.379013

6.980582

6.867815

6.9451

6.961881

6.98536

7.036362

7.362443

6.882568

1303.4958

Andrei Khmelnitsky

Lasma Alberte, Andrei Khmelnitsky

Reduced Massive Gravity with Two St\"uckelberg Fields

21 pages, 1 figure

null

10.1103/PhysRevD.88.064053

LMU-ASC 15/13

hep-th

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

We consider the non-linear massive gravity as a theory of a number of St\"uckelberg scalar fields minimally coupled to the Einstein-Hilbert gravity and argue that the counting of degrees of freedom can be done for scalar theory and gravity separately. In this paper we investigate the system with only two St\"uckelberg scalar fields. In this case we find the analytic expression for the determinant of the kinetic matrix of the scalar field Lagrangian and perform the full constraint analysis. In 1+1 space-time dimensions the theory corresponds to the full non-linear massive gravity, and this determinant vanishes identically. In this case we find two first-class constraints, and present the corresponding gauge symmetry of the theory which eliminates both scalar degrees of freedom. In 3+1 dimensions the determinant of the kinetic matrix does not vanish identically and, for generic initial conditions, both scalar fields are propagating.

[ { "created": "Wed, 20 Mar 2013 15:07:00 GMT", "version": "v1" } ]

2013-10-02

[ [ "Alberte", "Lasma", "" ], [ "Khmelnitsky", "Andrei", "" ] ]

We consider the non-linear massive gravity as a theory of a number of St\"uckelberg scalar fields minimally coupled to the Einstein-Hilbert gravity and argue that the counting of degrees of freedom can be done for scalar theory and gravity separately. In this paper we investigate the system with only two St\"uckelberg scalar fields. In this case we find the analytic expression for the determinant of the kinetic matrix of the scalar field Lagrangian and perform the full constraint analysis. In 1+1 space-time dimensions the theory corresponds to the full non-linear massive gravity, and this determinant vanishes identically. In this case we find two first-class constraints, and present the corresponding gauge symmetry of the theory which eliminates both scalar degrees of freedom. In 3+1 dimensions the determinant of the kinetic matrix does not vanish identically and, for generic initial conditions, both scalar fields are propagating.

7.481275

7.016326

7.64459

7.032966

7.49291

7.569479

7.166385

7.08584

6.939803

7.689047

6.902012

7.087188

7.239067

6.95604

6.896077

6.861944

7.017681

6.899031

6.989913

7.276384

6.929568

hep-th/0011150

Oscar Wallace Greenberg

Chi-Keung Chow and O.W. Greenberg

Quons in Relativistic Theories Must be Bosons or Fermions

9 pages, no figures, latex

Phys.Lett. A283 (2001) 20-24

10.1016/S0375-9601(01)00233-X

UMPP 01-025, DOE/ER/40762-212

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

null

The quon algebra describes particles, ``quons,'' that are neither fermions nor bosons using a label q that parametrizes a smooth interpolation between bosons (q = +1) and fermions (q = -1). We derive ``conservation of statistics'' relations for quons in relativistic theories, and show that in relativistic theories quons must be either bosons or fermions.

[ { "created": "Thu, 16 Nov 2000 16:25:04 GMT", "version": "v1" } ]

2009-10-31

[ [ "Chow", "Chi-Keung", "" ], [ "Greenberg", "O. W.", "" ] ]

The quon algebra describes particles, ``quons,'' that are neither fermions nor bosons using a label q that parametrizes a smooth interpolation between bosons (q = +1) and fermions (q = -1). We derive ``conservation of statistics'' relations for quons in relativistic theories, and show that in relativistic theories quons must be either bosons or fermions.

9.786743

6.43357

9.42638

6.635303

6.640131

6.658081

6.020046

6.835713

7.211154

9.451927

6.891365

7.243963

8.034939

7.576169

7.042894

6.894676

7.290457

7.094545

7.466772

7.474544

7.55269

hep-th/9707236

Kurt Lechner

Gianguido Dall'Agata and Kurt Lechner

N = 1, D = 6 Supergravity: Duality and non Minimal Couplings

LaTeX2e file, 29 pages, uses package latexsym, no figures

Nucl.Phys. B511 (1998) 326-352

10.1016/S0550-3213(97)00719-0

DFPD 97/TH/27

hep-th

null

In this paper we present a superspace formulation of $N = 1, D = 6$ supergravity with one tensor-multiplet and an arbitrary number of vector- and hypermultiplets, in which the bosonic abelian superforms of the theory, the dilaton, the abelian gauge fields and the two-form are replaced by their S-duals i.e. four, three and two-superforms respectively, in compatibility with supersymmetry. As usual this replacement interchanges Bianchi identities with equations of motion. This formulation holds in the presence of one tensor multiplet and arbitrary numbers of hypermultiplets and abelian super-Maxwell multiplets if all couplings are minimal. We determine the consistency conditions for non-minimal couplings in $N = 1$, $D = 6$ supergravity, for which we present a particularly significant solution, namely the one associated with the Chern-Simons-Lorentz three-form which entails the Green-Schwarz anomaly cancellation mechanism. In the case of non minimal couplings it is found that the gauge fields and the two-form can still be dualized while the dilaton has to remain a zero-form.

[ { "created": "Tue, 29 Jul 1997 12:19:34 GMT", "version": "v1" } ]

2009-10-30

[ [ "Dall'Agata", "Gianguido", "" ], [ "Lechner", "Kurt", "" ] ]

In this paper we present a superspace formulation of $N = 1, D = 6$ supergravity with one tensor-multiplet and an arbitrary number of vector- and hypermultiplets, in which the bosonic abelian superforms of the theory, the dilaton, the abelian gauge fields and the two-form are replaced by their S-duals i.e. four, three and two-superforms respectively, in compatibility with supersymmetry. As usual this replacement interchanges Bianchi identities with equations of motion. This formulation holds in the presence of one tensor multiplet and arbitrary numbers of hypermultiplets and abelian super-Maxwell multiplets if all couplings are minimal. We determine the consistency conditions for non-minimal couplings in $N = 1$, $D = 6$ supergravity, for which we present a particularly significant solution, namely the one associated with the Chern-Simons-Lorentz three-form which entails the Green-Schwarz anomaly cancellation mechanism. In the case of non minimal couplings it is found that the gauge fields and the two-form can still be dualized while the dilaton has to remain a zero-form.

8.314803

8.483599

9.224212

7.918648

8.439854

8.105788

8.232094

8.344113

7.930145

10.13614

8.053123

8.073379

8.136344

8.171919

8.248728

7.937588

7.979709

8.071167

7.967799

8.413897

8.112576

1008.0148

Kuver Sinha

Bhaskar Dutta and Kuver Sinha

Affleck-Dine Baryogenesis in Effective Supergravity

8 pages, 1 figure

Phys.Rev.D82:095003,2010

10.1103/PhysRevD.82.095003

null

hep-th hep-ph

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

We investigate the viability of Affleck-Dine baryogenesis in D=4, N=1 supergravity descending from string theory. The process relies on an initial condition where visible sector supersymmetric flat directions obtain tachyonic masses during inflation. We discuss this condition for a variety of cases where supersymmetry is broken during inflation by a geometric modulus or hidden sector scalar, and outline scenarios where the initial condition is satisfied.

[ { "created": "Sun, 1 Aug 2010 04:40:21 GMT", "version": "v1" } ]

2010-11-11

[ [ "Dutta", "Bhaskar", "" ], [ "Sinha", "Kuver", "" ] ]

We investigate the viability of Affleck-Dine baryogenesis in D=4, N=1 supergravity descending from string theory. The process relies on an initial condition where visible sector supersymmetric flat directions obtain tachyonic masses during inflation. We discuss this condition for a variety of cases where supersymmetry is broken during inflation by a geometric modulus or hidden sector scalar, and outline scenarios where the initial condition is satisfied.

11.198425

12.1476

11.260093

10.25506

11.5548

11.092253

11.205049

10.457481

10.105404

10.536982

10.709385

10.447982

10.520744

10.442553

10.352585

10.594153

10.345663

10.66255

10.420738

11.139676

10.083926

1811.08192

Ra\'ul Carballo-Rubio

Ra\'ul Carballo-Rubio, Francesco Di Filippo and Nathan Moynihan

Taming higher-derivative interactions and bootstrapping gravity with soft theorems

v2: published version in REVTeX style, minor changes and additional references after peer review, 29 pages (including references); v1: 26 pages (including references), REVTeX style

JCAP 10 (2019) 030

10.1088/1475-7516/2019/10/030

null

hep-th gr-qc

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

On-shell constructibility is redefining our understanding of perturbative quantum field theory. The tree-level S-matrix of constructible theories is completely determined by a set of recurrence relations and a reduced number of scattering amplitudes. In this paper, we revisit the on-shell constructibility of gravitational theories making use of new results on soft theorems and recurrence relations. We show that using a double complex shift and an all-line soft deformation allows us to relax the technical conditions for constructibility, in order to include more general propagators and higher-derivative interactions that prevent using conventional Britto-Cachazo-Feng-Witten (BCFW) shifts. From this result we extract a set of criteria that guarantee that a given gravitational action has the same tree-level S-matrix in Minkowski spacetime as general relativity, which implies the equivalence at all orders in perturbation theory between these classical field theories on asymptotically flat spacetimes. As a corollary we deduce that the scattering amplitudes of general relativity and unimodular gravity are the same for an arbitrary number of external particles (as long as the S-matrix of the latter is unitary), thus extending previous works that were able to deal only with $n=4$ and $n=5$ amplitudes.

[ { "created": "Tue, 20 Nov 2018 11:37:21 GMT", "version": "v1" }, { "created": "Mon, 14 Oct 2019 18:34:14 GMT", "version": "v2" } ]

2019-10-16

[ [ "Carballo-Rubio", "Raúl", "" ], [ "Di Filippo", "Francesco", "" ], [ "Moynihan", "Nathan", "" ] ]

On-shell constructibility is redefining our understanding of perturbative quantum field theory. The tree-level S-matrix of constructible theories is completely determined by a set of recurrence relations and a reduced number of scattering amplitudes. In this paper, we revisit the on-shell constructibility of gravitational theories making use of new results on soft theorems and recurrence relations. We show that using a double complex shift and an all-line soft deformation allows us to relax the technical conditions for constructibility, in order to include more general propagators and higher-derivative interactions that prevent using conventional Britto-Cachazo-Feng-Witten (BCFW) shifts. From this result we extract a set of criteria that guarantee that a given gravitational action has the same tree-level S-matrix in Minkowski spacetime as general relativity, which implies the equivalence at all orders in perturbation theory between these classical field theories on asymptotically flat spacetimes. As a corollary we deduce that the scattering amplitudes of general relativity and unimodular gravity are the same for an arbitrary number of external particles (as long as the S-matrix of the latter is unitary), thus extending previous works that were able to deal only with $n=4$ and $n=5$ amplitudes.

8.406975

8.126486

8.632008

7.696999

8.151337

8.16993

8.558129

7.812024

8.104211

9.199783

7.874817

7.838842

8.08408

7.786242

7.89101

8.072347

8.00161

8.080481

7.818645

8.291545

7.829301

1601.07791

Vatche Sahakian

On Emergent Geometry from Entanglement Entropy in Matrix theory

36 pages, no figures; conclusion and interpretation revised. Readers are directed instead to a significantly expanded version of this computation that can be found in arXiv:1705.01128; this paper is being removed to avoid unnecessary duplication

null

IHES/P/16/03

hep-th

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

Using Matrix theory, we propose a technique on how to compute the entangle- ment entropy between a supergravity probe and modes on a spherical membrane. We demonstrate that a membrane stretched between the probe and the sphere entangles these modes and can lead to an the entanglement entropy that encodes information about local gravitational geometry seen by the probe.

[ { "created": "Thu, 28 Jan 2016 15:01:03 GMT", "version": "v1" }, { "created": "Fri, 12 Aug 2016 19:38:13 GMT", "version": "v2" }, { "created": "Thu, 4 May 2017 04:34:05 GMT", "version": "v3" } ]

2017-05-05

[ [ "Sahakian", "Vatche", "" ] ]

Using Matrix theory, we propose a technique on how to compute the entangle- ment entropy between a supergravity probe and modes on a spherical membrane. We demonstrate that a membrane stretched between the probe and the sphere entangles these modes and can lead to an the entanglement entropy that encodes information about local gravitational geometry seen by the probe.

27.861233

15.819417

21.89435

15.308955

15.726429

16.344044

17.419744

16.366169

17.302622

25.966743

15.902286

18.300516

19.747271

18.105148

18.09483

17.872532

17.400164

18.131685

17.153032

19.098246

17.029602

hep-th/0103255

Andrew K. Waldron

S. Deser and A. Waldron

Stability of Massive Cosmological Gravitons

13 pages, LaTeX, version to appear in Phys. Lett. B

Phys.Lett.B508:347-353,2001

10.1016/S0370-2693(01)00523-8

BRX-TH 489

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

null

We analyze the physics of massive spin 2 fields in (A)dS backgrounds and exhibit that: The theory is stable only for masses m^2 >= 2\Lambda/3, where the conserved energy associated with the background timelike Killing vector is positive, while the instability for m^2<2\Lambda/3 is traceable to the helicity 0 energy. The stable, unitary, partially massless theory at m^2=2\Lambda/3 describes 4 propagating degrees of freedom, corresponding to helicities (+/-2,+/-1) but contains no 0 helicity excitation.

[ { "created": "Thu, 29 Mar 2001 22:10:58 GMT", "version": "v1" }, { "created": "Tue, 24 Apr 2001 15:06:48 GMT", "version": "v2" } ]

2008-11-26

[ [ "Deser", "S.", "" ], [ "Waldron", "A.", "" ] ]

We analyze the physics of massive spin 2 fields in (A)dS backgrounds and exhibit that: The theory is stable only for masses m^2 >= 2\Lambda/3, where the conserved energy associated with the background timelike Killing vector is positive, while the instability for m^2<2\Lambda/3 is traceable to the helicity 0 energy. The stable, unitary, partially massless theory at m^2=2\Lambda/3 describes 4 propagating degrees of freedom, corresponding to helicities (+/-2,+/-1) but contains no 0 helicity excitation.

8.959404

9.473683

9.302964

7.821967

8.408952

8.442244

8.061284

7.934953

8.104934

8.980123

7.704068

7.714954

8.368705

7.955515

8.163942

8.306927

7.980674

8.108001

8.022861

8.131139

7.923468

hep-th/9601125

David M. Pierce

A (1,2) Heterotic String with Gauge Symmetry

17 pages, added references

Phys.Rev. D53 (1996) 7197-7205

10.1103/PhysRevD.53.7197

IFP/604/UNC

hep-th

null

We construct a (1,2) heterotic string with gauge symmetry and determine its particle spectrum. This theory has a local N=1 worldsheet supersymmetry for left movers and a local N=2 worldsheet supersymmetry for right movers and describes particles in either two or three space-time dimensions. We show that fermionizing the bosons of the compactified N=1 space leads to a particle spectrum which has nonabelian gauge symmetry. The fermionic formulation of the theory corresponds to a dimensional reduction of self dual Yang Mills. We also give a worldsheet action for the theory and calculate the one-loop path integral.

[ { "created": "Tue, 23 Jan 1996 21:58:28 GMT", "version": "v1" }, { "created": "Mon, 25 Mar 1996 21:02:45 GMT", "version": "v2" } ]

2009-10-30

[ [ "Pierce", "David M.", "" ] ]

We construct a (1,2) heterotic string with gauge symmetry and determine its particle spectrum. This theory has a local N=1 worldsheet supersymmetry for left movers and a local N=2 worldsheet supersymmetry for right movers and describes particles in either two or three space-time dimensions. We show that fermionizing the bosons of the compactified N=1 space leads to a particle spectrum which has nonabelian gauge symmetry. The fermionic formulation of the theory corresponds to a dimensional reduction of self dual Yang Mills. We also give a worldsheet action for the theory and calculate the one-loop path integral.

8.749819

8.430363

9.407299

8.094793

9.238461

8.322116

8.573854

8.102229

8.534952

9.419833

8.325015

8.361467

8.940865

8.186328

8.354225

8.532505

8.412611

8.31429

8.596624

9.104613

8.151052

1012.5049

Francisco Navarro-Lerida

Jurgen Burzlaff and Francisco Navarro-Lerida

Nielsen-Olesen vortices for large Ginzburg-Landau parameter

10 pages, 5 figures, accepted for publication in PRD

Phys.Rev.D82:125033,2010

10.1103/PhysRevD.82.125033

null

hep-th gr-qc

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

Using analytic and numerical techniques Nielsen-Olesen vortices, which in the context of Ginzburg-Landau theory are known as Abrikosov vortices of type-II superconductors, are studied for large Ginzburg-Landau parameter $\lambda$. We show that their energy is equal to $(\pi n^2 /2)\log\lambda$ to leading order, where $n$ is the winding number of the vortex, and find that the limit of the gauge field can be expressed in terms of the modified Bessel function $K_1$. The leading terms of the asymptotic expansion of the solution are given, and the different contributions to the energy are analyzed.

[ { "created": "Wed, 22 Dec 2010 17:36:07 GMT", "version": "v1" } ]

2011-01-20

[ [ "Burzlaff", "Jurgen", "" ], [ "Navarro-Lerida", "Francisco", "" ] ]

Using analytic and numerical techniques Nielsen-Olesen vortices, which in the context of Ginzburg-Landau theory are known as Abrikosov vortices of type-II superconductors, are studied for large Ginzburg-Landau parameter $\lambda$. We show that their energy is equal to $(\pi n^2 /2)\log\lambda$ to leading order, where $n$ is the winding number of the vortex, and find that the limit of the gauge field can be expressed in terms of the modified Bessel function $K_1$. The leading terms of the asymptotic expansion of the solution are given, and the different contributions to the energy are analyzed.

5.631666

5.951441

6.262255

5.815662

5.954528

5.852738

5.907032

6.068983

6.137496

6.272863

5.717874

5.858805

5.774852

5.671893

5.785753

5.591719

5.531174

5.721011

5.778089

5.568206

5.715412

hep-th/0306236

Calin Iuliu Lazaroiu

K. Landsteiner, C. I. Lazaroiu, Radu Tatar

(Anti)symmetric matter and superpotentials from IIB orientifolds

40 pages

JHEP 0311:044,2003

10.1088/1126-6708/2003/11/044

HU-EP-03/30, IFT-UAM/CSIC-03-15, LBNL-53008, UCB-PTH-03/12

hep-th

null

We study the IIB engineering of N=1 gauge theories with unitary gauge group and matter in the adjoint and (anti)symmetric representations. We show that such theories can be obtained as Z2 orientifolds of Calabi-Yau A2 fibrations, and discuss the explicit T-duality transformation to an orientifolded Hanany-Witten construction. The low energy dynamics is described by a geometric transition of the orientifolded background. Unlike previously studied cases, we show that the orientifold 5-`plane' survives the transition, thus bringing a nontrivial contribution to the effective superpotential. We extract this contribution by using matrix model results and compare with geometric data. A Higgs branch of our models recovers the engineering of SO/Sp theories with adjoint matter through an O5-`plane' T-dual to an O6-plane. We show that the superpotential agrees with that produced by engineering through an O5-`plane' dual to an O4-plane, even though the orientifold of this second construction is replaced by fluxes after the transition.

[ { "created": "Tue, 24 Jun 2003 22:32:12 GMT", "version": "v1" } ]

2010-02-03

[ [ "Landsteiner", "K.", "" ], [ "Lazaroiu", "C. I.", "" ], [ "Tatar", "Radu", "" ] ]

We study the IIB engineering of N=1 gauge theories with unitary gauge group and matter in the adjoint and (anti)symmetric representations. We show that such theories can be obtained as Z2 orientifolds of Calabi-Yau A2 fibrations, and discuss the explicit T-duality transformation to an orientifolded Hanany-Witten construction. The low energy dynamics is described by a geometric transition of the orientifolded background. Unlike previously studied cases, we show that the orientifold 5-`plane' survives the transition, thus bringing a nontrivial contribution to the effective superpotential. We extract this contribution by using matrix model results and compare with geometric data. A Higgs branch of our models recovers the engineering of SO/Sp theories with adjoint matter through an O5-`plane' T-dual to an O6-plane. We show that the superpotential agrees with that produced by engineering through an O5-`plane' dual to an O4-plane, even though the orientifold of this second construction is replaced by fluxes after the transition.

9.973789

10.388027

13.281656

9.335465

11.019378

10.510435

10.609174

10.028621

10.502372

12.994096

10.035191

9.36389

10.53015

9.762349

9.133155

9.713743

9.390682

9.498351

9.998634

11.12971

9.592082

2312.15279

Josef Kluson

J. Kluson

Hamiltonian for Weyl Transverse Gravity

16 pages, references added

null

hep-th

http://creativecommons.org/publicdomain/zero/1.0/

In this short note we determine Hamiltonian for Weyl transverse gravity. We find primary, secondary and tertiary constraints and calculate Poisson brackets between them. We also show that gauge fixing in Weyl transverse gravity leads to the Hamiltonian for unimodular gravity.

[ { "created": "Sat, 23 Dec 2023 15:22:53 GMT", "version": "v1" }, { "created": "Thu, 25 Jan 2024 12:00:26 GMT", "version": "v2" } ]

2024-01-26

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

In this short note we determine Hamiltonian for Weyl transverse gravity. We find primary, secondary and tertiary constraints and calculate Poisson brackets between them. We also show that gauge fixing in Weyl transverse gravity leads to the Hamiltonian for unimodular gravity.

9.222297

6.671206

6.80902

6.192345

6.191668

7.125606

7.505764

5.923085

7.101715

6.937223

7.331156

7.155893

7.387474

7.243706

7.123668

6.96617

7.218102

7.122838

7.421001

7.162684

7.457887

2112.14753

Kaiwen Sun

Blowup Equations and Holomorphic Anomaly Equations

Reference added, typos corrected

null

hep-th

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

Blowup equations and holomorphic anomaly equations are two universal yet completely different approaches to solve refined topological string theory on local Calabi-Yau threefolds corresponding to A- and B-model respectively. The former originated from comparing Nekrasov partition functions of 4d $\mathcal{N}=2$ gauge theories on $\Omega$ defomed spacetime $\mathbb{C}^2_{\epsilon_1,\epsilon_2}$ and its one-point blown-up, while the latter takes root in the degeneration of wordsheet Riemann surfaces. The relation between the two approaches is an open question. In this short note, we find a novel recursive equation governing their consistency, which we call the consistency equation. This new equation computes the modular anomaly of blowup equations order by order. The consistency equation also suggests a non-holomorphic extension of blowup equations.

[ { "created": "Wed, 29 Dec 2021 18:55:16 GMT", "version": "v1" }, { "created": "Wed, 5 Jan 2022 10:44:10 GMT", "version": "v2" } ]

2022-01-06

[ [ "Sun", "Kaiwen", "" ] ]

Blowup equations and holomorphic anomaly equations are two universal yet completely different approaches to solve refined topological string theory on local Calabi-Yau threefolds corresponding to A- and B-model respectively. The former originated from comparing Nekrasov partition functions of 4d $\mathcal{N}=2$ gauge theories on $\Omega$ defomed spacetime $\mathbb{C}^2_{\epsilon_1,\epsilon_2}$ and its one-point blown-up, while the latter takes root in the degeneration of wordsheet Riemann surfaces. The relation between the two approaches is an open question. In this short note, we find a novel recursive equation governing their consistency, which we call the consistency equation. This new equation computes the modular anomaly of blowup equations order by order. The consistency equation also suggests a non-holomorphic extension of blowup equations.

9.325747

8.918391

11.115522

8.418242

9.282699

9.479095

9.597318

8.635672

8.996025

13.499601

8.316552

8.146352

8.861372

8.331902

8.545473

8.783158

8.303442

8.623539

8.580967

9.059579

8.442249

hep-th/9707012

Kenji Mohri

Kenji Mohri (KEK)

D-Branes and Quotient Singularities of Calabi-Yau Fourfolds

24 pages, version 2.1, to appear in Nucl. Phys. B

Nucl.Phys. B521 (1998) 161-182

10.1016/S0550-3213(98)00085-6

null

hep-th

null

We investigate a (0,2) gauge theory realized on the world volume of the type IIB D1-brane at the singular point of a Calabi-Yau fourfold. It is argued that the gauge anomaly can be canceled via coupling to the R-R chiral bosons in bulk IIB string. We find that for a generic choice of the Fayet-Iliopoulos parameters on the world volume, the Higgs moduli space is a smooth fourfold birational to the original Calabi-Yau fourfold, but is not necessarily a Calabi-Yau manifold.

[ { "created": "Tue, 1 Jul 1997 15:47:10 GMT", "version": "v1" }, { "created": "Thu, 17 Jul 1997 14:38:15 GMT", "version": "v2" }, { "created": "Mon, 2 Mar 1998 13:45:25 GMT", "version": "v3" } ]

2009-10-30

[ [ "Mohri", "Kenji", "", "KEK" ] ]

We investigate a (0,2) gauge theory realized on the world volume of the type IIB D1-brane at the singular point of a Calabi-Yau fourfold. It is argued that the gauge anomaly can be canceled via coupling to the R-R chiral bosons in bulk IIB string. We find that for a generic choice of the Fayet-Iliopoulos parameters on the world volume, the Higgs moduli space is a smooth fourfold birational to the original Calabi-Yau fourfold, but is not necessarily a Calabi-Yau manifold.

6.931592

6.404766

8.281027

6.346732

6.043107

6.815307

6.307165

6.294727

6.507123

7.687816

6.208164

6.656044

7.406795

6.812692

6.545216

6.458829

6.490409

6.581038

6.733745

7.193687

6.384448

1912.08507

Jarah Evslin

Jarah Evslin and Hengyuan Guo

Finite Derivation of the One-Loop Sine-Gordon Soliton Mass

12 pages, no figures, v2 typos fixed

null

hep-th

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

Calculations of quantum corrections to soliton masses generally require both the vacuum sector and the soliton sector to be regularized. The finite part of the quantum correction depends on the assumed relation between these regulators when both are taken to infinity. Recently, in the case of quantum kinks, a manifestly finite prescription for the calculation of the quantum corrections has been proposed, which uses the kink creation operator to relate the two sectors. In this note, we test this new prescription by calculating the one-loop correction to the Sine-Gordon soliton mass, reproducing the well-known result which has been derived using integrability.

[ { "created": "Wed, 18 Dec 2019 10:50:14 GMT", "version": "v1" }, { "created": "Tue, 18 Feb 2020 02:26:04 GMT", "version": "v2" } ]

2020-02-19

[ [ "Evslin", "Jarah", "" ], [ "Guo", "Hengyuan", "" ] ]

Calculations of quantum corrections to soliton masses generally require both the vacuum sector and the soliton sector to be regularized. The finite part of the quantum correction depends on the assumed relation between these regulators when both are taken to infinity. Recently, in the case of quantum kinks, a manifestly finite prescription for the calculation of the quantum corrections has been proposed, which uses the kink creation operator to relate the two sectors. In this note, we test this new prescription by calculating the one-loop correction to the Sine-Gordon soliton mass, reproducing the well-known result which has been derived using integrability.

8.652783

7.432131

8.514765

7.696719

7.890566

7.964648

7.783262

7.705852

7.445779

8.792901

7.479246

7.858143

8.016727

7.775381

7.663222

7.465442

7.810783

7.678481

7.838683

8.284635

7.820013

1106.4786

Jose Barbon

J.L.F. Barbon and J.M. Magan

Fast Scramblers Of Small Size

14 pages, 3 figures. Added references

null

10.1007/JHEP10(2011)035

IFT UAM/CSIC-11-43

hep-th gr-qc

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

We investigate various geometrical aspects of the notion of `optical depth' in the thermal atmosphere of black hole horizons. Optical depth has been proposed as a measure of fast-crambling times in such black hole systems, and the associated optical metric suggests that classical chaos plays a leading role in the actual scrambling mechanism. We study the behavior of the optical depth with the size of the system and find that AdS/CFT phase transitions with topology change occur naturally as the scrambler becomes smaller than its thermal length. In the context of detailed AdS/CFT models based on D-branes, T-duality implies that small scramblers are described in terms of matrix quantum mechanics.

[ { "created": "Thu, 23 Jun 2011 18:14:56 GMT", "version": "v1" }, { "created": "Thu, 21 Jul 2011 17:53:13 GMT", "version": "v2" } ]

2015-05-28

[ [ "Barbon", "J. L. F.", "" ], [ "Magan", "J. M.", "" ] ]

We investigate various geometrical aspects of the notion of `optical depth' in the thermal atmosphere of black hole horizons. Optical depth has been proposed as a measure of fast-crambling times in such black hole systems, and the associated optical metric suggests that classical chaos plays a leading role in the actual scrambling mechanism. We study the behavior of the optical depth with the size of the system and find that AdS/CFT phase transitions with topology change occur naturally as the scrambler becomes smaller than its thermal length. In the context of detailed AdS/CFT models based on D-branes, T-duality implies that small scramblers are described in terms of matrix quantum mechanics.

16.506266

15.754723

18.596647

16.794178

17.833704

16.611399

18.150997

17.345457

14.635383

20.86788

14.70275

16.693113

16.511236

16.221273

16.509937

17.279894

16.23694

15.349347

15.857425

16.315647

15.669776

1003.1302

Per Kraus

Eric D'Hoker and Per Kraus

Holographic Metamagnetism, Quantum Criticality, and Crossover Behavior

23 pages, 8 figures v2: added refs

JHEP 1005:083,2010

10.1007/JHEP05(2010)083

null

hep-th cond-mat.str-el

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

Using high-precision numerical analysis, we show that 3+1 dimensional gauge theories holographically dual to 4+1 dimensional Einstein-Maxwell-Chern-Simons theory undergo a quantum phase transition in the presence of a finite charge density and magnetic field. The quantum critical theory has dynamical scaling exponent z=3, and is reached by tuning a relevant operator of scaling dimension 2. For magnetic field B above the critical value B_c, the system behaves as a Fermi liquid. As the magnetic field approaches B_c from the high field side, the specific heat coefficient diverges as 1/(B-B_c), and non-Fermi liquid behavior sets in. For B<B_c the entropy density s becomes non-vanishing at zero temperature, and scales according to s \sim \sqrt{B_c - B}. At B=B_c, and for small non-zero temperature T, a new scaling law sets in for which s\sim T^{1/3}. Throughout a small region surrounding the quantum critical point, the ratio s/T^{1/3} is given by a universal scaling function which depends only on the ratio (B-B_c)/T^{2/3}. The quantum phase transition involves non-analytic behavior of the specific heat and magnetization but no change of symmetry. Above the critical field, our numerical results are consistent with those predicted by the Hertz/Millis theory applied to metamagnetic quantum phase transitions, which also describe non-analytic changes in magnetization without change of symmetry. Such transitions have been the subject of much experimental investigation recently, especially in the compound Sr_3 Ru_2 O_7, and we comment on the connections.

[ { "created": "Fri, 5 Mar 2010 19:59:13 GMT", "version": "v1" }, { "created": "Sat, 3 Apr 2010 23:50:38 GMT", "version": "v2" } ]

2014-11-20

[ [ "D'Hoker", "Eric", "" ], [ "Kraus", "Per", "" ] ]

Using high-precision numerical analysis, we show that 3+1 dimensional gauge theories holographically dual to 4+1 dimensional Einstein-Maxwell-Chern-Simons theory undergo a quantum phase transition in the presence of a finite charge density and magnetic field. The quantum critical theory has dynamical scaling exponent z=3, and is reached by tuning a relevant operator of scaling dimension 2. For magnetic field B above the critical value B_c, the system behaves as a Fermi liquid. As the magnetic field approaches B_c from the high field side, the specific heat coefficient diverges as 1/(B-B_c), and non-Fermi liquid behavior sets in. For B<B_c the entropy density s becomes non-vanishing at zero temperature, and scales according to s \sim \sqrt{B_c - B}. At B=B_c, and for small non-zero temperature T, a new scaling law sets in for which s\sim T^{1/3}. Throughout a small region surrounding the quantum critical point, the ratio s/T^{1/3} is given by a universal scaling function which depends only on the ratio (B-B_c)/T^{2/3}. The quantum phase transition involves non-analytic behavior of the specific heat and magnetization but no change of symmetry. Above the critical field, our numerical results are consistent with those predicted by the Hertz/Millis theory applied to metamagnetic quantum phase transitions, which also describe non-analytic changes in magnetization without change of symmetry. Such transitions have been the subject of much experimental investigation recently, especially in the compound Sr_3 Ru_2 O_7, and we comment on the connections.

5.966466

6.176153

6.809621

5.842903

6.425248

6.918018

5.857729

6.230637

6.108264

7.198123

5.7962

5.546994

5.947717

5.782923

5.949212

5.949476

5.8528

5.911129

5.987717

5.995922

5.785244

hep-th/0509228

Diego Rodriguez-Gomez

Branes wrapping black holes as a purely gravitational dielectric effect

17 pages, no figures. JHEP published version

JHEP0601:079,2006

10.1088/1126-6708/2006/01/079

FFUOV-05/06

hep-th

null

In this paper we give a microscopical description of certain configurations of branes wrapping black hole horizons in terms of dielectric gravitational waves. Interestingly, the configurations are stable only due to the gravitational background. Therefore, this constitutes a nice example of purely gravitational dielectric effect.

[ { "created": "Fri, 30 Sep 2005 16:49:32 GMT", "version": "v1" }, { "created": "Sat, 1 Oct 2005 16:42:46 GMT", "version": "v2" }, { "created": "Tue, 25 Oct 2005 16:28:00 GMT", "version": "v3" }, { "created": "Fri, 13 Jan 2006 18:37:17 GMT", "version": "v4" } ]

2009-11-11

[ [ "Rodriguez-Gomez", "Diego", "" ] ]

In this paper we give a microscopical description of certain configurations of branes wrapping black hole horizons in terms of dielectric gravitational waves. Interestingly, the configurations are stable only due to the gravitational background. Therefore, this constitutes a nice example of purely gravitational dielectric effect.

20.254059

11.301715

18.36084

12.882623

13.148009

11.974427

11.825294

12.534455

12.290769

18.111399

12.385604

14.239047

15.82709

15.075323

14.866679

14.834745

15.254419

14.744843

14.930255

16.129681

14.875157

2305.13506

Paul-Hermann Balduf

Statistics of Feynman amplitudes in $\phi^4$-theory

72 pages, 65 figures, 17 tables

J. High Energ. Phys. 2023, 160 (2023)

10.1007/JHEP11(2023)160

null

hep-th hep-ph

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

The amplitude of subdivergence-free logarithmically divergent Feynman graphs in $\phi^4$-theory in 4 spacetime dimensions is given by a single number, the Feynman period. We numerically compute the periods of 1.3 million completed graphs, this represents more than 33 million graphs contributing to the beta function. Our data set includes all primitive graphs up to 13 loops, and non-complete samples up to 18 loops, with an accuracy of ca. 4 significant digits. We implement all known symmetries of the period in a new computer program and count them up to 14 loops. Combining the symmetries, we discover relations between periods that had been overlooked earlier. All expected symmetries are respected by the numerical values of periods. We examine the distribution of the numerically computed Feynman periods. We confirm the leading asymptotic growth of the average period with growing loop order, up to a factor of 2. At high loop order, a limiting distribution is reached for the amplitudes near the mean. A small class of graphs, most notably the zigzags, grows significantly faster than the mean and causes the limiting distribution to have divergent moments even when normalized to unit mean. We examine the relation between the period and various properties of the underlying graphs. We confirm the strong correlation with the Hepp bound, the Martin invariant, and the number of 6-edge cuts. We find that, on average, the amplitude of planar graphs is significantly larger than that of non-planar graphs, irrespective of $O(N)$ symmetry. We estimate the primitive contribution to the 18-loop beta function of the $O(N)$-symmetric theory. We find that primitive graphs constitute a large part of the beta function in MS for $L\rightarrow \infty$ loops. The relative contribution of planar graphs increases with growing $N$ and decreases with growing loop order $L$.

[ { "created": "Mon, 22 May 2023 21:51:44 GMT", "version": "v1" }, { "created": "Sun, 29 Oct 2023 17:29:30 GMT", "version": "v2" } ]

2024-03-26

[ [ "Balduf", "Paul-Hermann", "" ] ]

The amplitude of subdivergence-free logarithmically divergent Feynman graphs in $\phi^4$-theory in 4 spacetime dimensions is given by a single number, the Feynman period. We numerically compute the periods of 1.3 million completed graphs, this represents more than 33 million graphs contributing to the beta function. Our data set includes all primitive graphs up to 13 loops, and non-complete samples up to 18 loops, with an accuracy of ca. 4 significant digits. We implement all known symmetries of the period in a new computer program and count them up to 14 loops. Combining the symmetries, we discover relations between periods that had been overlooked earlier. All expected symmetries are respected by the numerical values of periods. We examine the distribution of the numerically computed Feynman periods. We confirm the leading asymptotic growth of the average period with growing loop order, up to a factor of 2. At high loop order, a limiting distribution is reached for the amplitudes near the mean. A small class of graphs, most notably the zigzags, grows significantly faster than the mean and causes the limiting distribution to have divergent moments even when normalized to unit mean. We examine the relation between the period and various properties of the underlying graphs. We confirm the strong correlation with the Hepp bound, the Martin invariant, and the number of 6-edge cuts. We find that, on average, the amplitude of planar graphs is significantly larger than that of non-planar graphs, irrespective of $O(N)$ symmetry. We estimate the primitive contribution to the 18-loop beta function of the $O(N)$-symmetric theory. We find that primitive graphs constitute a large part of the beta function in MS for $L\rightarrow \infty$ loops. The relative contribution of planar graphs increases with growing $N$ and decreases with growing loop order $L$.

10.216266

11.867188

11.141517

10.688155

11.84482

12.107918

11.37959

10.571399

10.561073

11.081093

10.347872

10.471034

10.370074

10.000155

10.056402

10.182238

10.297546

10.21816

10.023916

10.071206

10.004111

2212.07256

Norbert Dragon

Norbert Dragon and Florian Oppermann

Heisenberg versus the Covariant String

null

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

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

A Poincar\'e multiplet of mass eigenstates $\bigl(P^2 - m^2\bigr)\Psi = 0$ cannot be a subspace of a space with a $D$-vector position operator $X=(X_0,\dots X_{D-1})$: the Heisenberg algebra $[P^m, X_n] = i \delta^m{}_n$ implies by a simple argument that each Poincar\'e multiplet of definite mass vanishes. The same conclusion follows from the Stone-von Neumann theorem. In a quantum theory the constraint of an absolutely continuous spectrum to a lower dimensional submanifold yields zero even if Dirac's treatment of the corresponding classical constraint defines a symplectic submanifold with a consistent corresponding quantum model. Its Hilbert space is not a subspace of the unconstrained theory. Hence the operator relations of the unconstrained model need not carry over to the constrained model. Our argument excludes quantized worldline models of relativistic particles and the physical states of the covariant quantum string. We correct misconceptions about the generators of Lorentz transformations acting on particles.

[ { "created": "Wed, 14 Dec 2022 14:46:00 GMT", "version": "v1" }, { "created": "Thu, 22 Dec 2022 18:34:45 GMT", "version": "v2" }, { "created": "Mon, 3 Apr 2023 18:36:47 GMT", "version": "v3" } ]

2023-04-05

[ [ "Dragon", "Norbert", "" ], [ "Oppermann", "Florian", "" ] ]

A Poincar\'e multiplet of mass eigenstates $\bigl(P^2 - m^2\bigr)\Psi = 0$ cannot be a subspace of a space with a $D$-vector position operator $X=(X_0,\dots X_{D-1})$: the Heisenberg algebra $[P^m, X_n] = i \delta^m{}_n$ implies by a simple argument that each Poincar\'e multiplet of definite mass vanishes. The same conclusion follows from the Stone-von Neumann theorem. In a quantum theory the constraint of an absolutely continuous spectrum to a lower dimensional submanifold yields zero even if Dirac's treatment of the corresponding classical constraint defines a symplectic submanifold with a consistent corresponding quantum model. Its Hilbert space is not a subspace of the unconstrained theory. Hence the operator relations of the unconstrained model need not carry over to the constrained model. Our argument excludes quantized worldline models of relativistic particles and the physical states of the covariant quantum string. We correct misconceptions about the generators of Lorentz transformations acting on particles.

12.648463

13.306648

13.106242

11.891154

13.162058

12.782138

12.144846

12.58342

12.118608

14.290658

12.054819

11.925668

11.880363

11.402178

11.828278

11.35173

11.544096

11.352001

11.494277

11.922913

11.068698

2207.05354

Bin He

Holographic calculations of R\'enyi entropy from rotating topological black holes

null

hep-th

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

We construct a new class of entanglement measures named "rotating R\'enyi entropy" by the holographic calculation of a rotating topological black hole belonging to the Petrov type-D class, we compute this kind of entropy for a spherical entangling surface of a vacuum state in the dual CFT. We find that the latter one could be conformally transformed to a thermal state on the boundary geometry of the rotating topological black hole with certain temperature. Then according to the angular velocity of the bulk black hole, we introduce the chemical potential in the boundary thermodynamics, which appears in the definition of the generalized R\'enyi entropy, and we presented the behaviors of this generalized R\'enyi entropy with the chemical potential and replica parameters.

[ { "created": "Tue, 12 Jul 2022 07:40:07 GMT", "version": "v1" }, { "created": "Sat, 23 Jul 2022 07:59:26 GMT", "version": "v2" } ]

2022-07-26

[ [ "He", "Bin", "" ] ]

We construct a new class of entanglement measures named "rotating R\'enyi entropy" by the holographic calculation of a rotating topological black hole belonging to the Petrov type-D class, we compute this kind of entropy for a spherical entangling surface of a vacuum state in the dual CFT. We find that the latter one could be conformally transformed to a thermal state on the boundary geometry of the rotating topological black hole with certain temperature. Then according to the angular velocity of the bulk black hole, we introduce the chemical potential in the boundary thermodynamics, which appears in the definition of the generalized R\'enyi entropy, and we presented the behaviors of this generalized R\'enyi entropy with the chemical potential and replica parameters.

11.126967

10.580888

12.038365

9.644561

10.914156

10.837004

10.924411

9.637022

10.143299

12.954579

10.038848

9.682823

10.893739

9.92276

9.86356

9.770843

9.732432

9.950786

9.484615

10.666838

9.632519

1106.4511

Daniel Puigdomenech

Jos\'e Bernabeu, Dom\`enec Espriu, Daniel Puigdom\`enech

Gravitational waves in the presence of a cosmological constant

20 pages, 1 figure

Phys. Rev. D 84, 063523 (2011)

10.1103/PhysRevD.84.063523

FTUV-11-2106; UB-ECM-FP-55/11; ICCUB-11-151

hep-th gr-qc

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

We derive the effects of a non-zero cosmological constant $\Lambda$ on gravitational wave propagation in the linearized approximation of general relativity. In this approximation we consider the situation where the metric can be written as $g_{\mu\nu}= \eta_{\mu\nu}+ h_{\mu\nu}^\Lambda + h_{\mu\nu}^W$, $h_{\mu\nu}^{\Lambda,W}<< 1$, where $h_{\mu\nu}^{\Lambda}$ is the background perturbation and $h_{\mu\nu}^{W}$ is a modification interpretable as a gravitational wave. For $\Lambda \neq 0$ this linearization of Einstein equations is self-consistent only in certain coordinate systems. The cosmological Friedmann-Robertson-Walker coordinates do not belong to this class and the derived linearized solutions have to be reinterpreted in a coordinate system that is homogeneous and isotropic to make contact with observations. Plane waves in the linear theory acquire modifications of order $\sqrt{\Lambda}$, both in the amplitude and the phase, when considered in FRW coordinates. In the linearization process for $h_{\mu\nu}$, we have also included terms of order $\mathcal{O}(\Lambda h_{\mu\nu})$. For the background perturbation $h_{\mu\nu}^\Lambda$ the difference is very small but when the term $h_{\mu\nu}^{W}\Lambda$ is retained the equations of motion can be interpreted as describing massive spin-2 particles. However, the extra degrees of freedom can be approximately gauged away, coupling to matter sources with a strength proportional to the cosmological constant itself. Finally we discuss the viability of detecting the modifications caused by the cosmological constant on the amplitude and phase of gravitational waves. In some cases the distortion with respect to gravitational waves propagating in Minkowski space-time is considerable. The effect of $\Lambda$ could have a detectable impact on pulsar timing arrays.

[ { "created": "Wed, 22 Jun 2011 17:17:24 GMT", "version": "v1" } ]

2012-09-17

[ [ "Bernabeu", "José", "" ], [ "Espriu", "Domènec", "" ], [ "Puigdomènech", "Daniel", "" ] ]

We derive the effects of a non-zero cosmological constant $\Lambda$ on gravitational wave propagation in the linearized approximation of general relativity. In this approximation we consider the situation where the metric can be written as $g_{\mu\nu}= \eta_{\mu\nu}+ h_{\mu\nu}^\Lambda + h_{\mu\nu}^W$, $h_{\mu\nu}^{\Lambda,W}<< 1$, where $h_{\mu\nu}^{\Lambda}$ is the background perturbation and $h_{\mu\nu}^{W}$ is a modification interpretable as a gravitational wave. For $\Lambda \neq 0$ this linearization of Einstein equations is self-consistent only in certain coordinate systems. The cosmological Friedmann-Robertson-Walker coordinates do not belong to this class and the derived linearized solutions have to be reinterpreted in a coordinate system that is homogeneous and isotropic to make contact with observations. Plane waves in the linear theory acquire modifications of order $\sqrt{\Lambda}$, both in the amplitude and the phase, when considered in FRW coordinates. In the linearization process for $h_{\mu\nu}$, we have also included terms of order $\mathcal{O}(\Lambda h_{\mu\nu})$. For the background perturbation $h_{\mu\nu}^\Lambda$ the difference is very small but when the term $h_{\mu\nu}^{W}\Lambda$ is retained the equations of motion can be interpreted as describing massive spin-2 particles. However, the extra degrees of freedom can be approximately gauged away, coupling to matter sources with a strength proportional to the cosmological constant itself. Finally we discuss the viability of detecting the modifications caused by the cosmological constant on the amplitude and phase of gravitational waves. In some cases the distortion with respect to gravitational waves propagating in Minkowski space-time is considerable. The effect of $\Lambda$ could have a detectable impact on pulsar timing arrays.

5.566291

6.232823

5.473745

5.494746

5.839595

5.71842

6.096595

5.6056

5.694568

5.854774

5.639567

5.551295

5.461385

5.461985

5.538961

5.611798

5.518506

5.498451

5.560953

5.554461

5.576158

2007.12115

Ana Garbayo

Ana Garbayo, Javier Mas and Alfonso V. Ramallo

Holographic Floquet states in low dimensions (I)

56 pages, 19 figures

null

10.1007/JHEP10(2020)013

null

hep-th cond-mat.mes-hall cond-mat.str-el

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

We study the response of a (2+1)-dimensional gauge theory to an external rotating electric field. In the strong coupling regime such system is formulated holographically in a top-down model constructed by intersecting D3- and D5-branes along 2+1 dimensions, in the quenched approximation, in which the D5-brane is a probe in the AdS_5 x S^5 geometry. The system has a non-equilibrium phase diagram with conductive and insulator phases. The external driving induces a rotating current due to vacuum polarization (in the insulator phase) and to Schwinger effect (in the conductive phase). For some particular values of the driving frequency the external field resonates with the vector mesons of the model and a rotating current can be produced even in the limit of vanishing driving field. These features are in common with the (3+1) dimensional setup based on the D3-D7 brane model and hint on some interesting universality. We also compute the conductivities paying special attention to the photovoltaic induced Hall effect, which is only present for massive charged carriers. In the vicinity of the Floquet condensate the optical Hall coefficient persists at zero driving field, signalling time reversal symmetry breaking.

[ { "created": "Thu, 23 Jul 2020 16:40:04 GMT", "version": "v1" }, { "created": "Thu, 8 Sep 2022 10:48:55 GMT", "version": "v2" } ]

2022-09-09

[ [ "Garbayo", "Ana", "" ], [ "Mas", "Javier", "" ], [ "Ramallo", "Alfonso V.", "" ] ]

We study the response of a (2+1)-dimensional gauge theory to an external rotating electric field. In the strong coupling regime such system is formulated holographically in a top-down model constructed by intersecting D3- and D5-branes along 2+1 dimensions, in the quenched approximation, in which the D5-brane is a probe in the AdS_5 x S^5 geometry. The system has a non-equilibrium phase diagram with conductive and insulator phases. The external driving induces a rotating current due to vacuum polarization (in the insulator phase) and to Schwinger effect (in the conductive phase). For some particular values of the driving frequency the external field resonates with the vector mesons of the model and a rotating current can be produced even in the limit of vanishing driving field. These features are in common with the (3+1) dimensional setup based on the D3-D7 brane model and hint on some interesting universality. We also compute the conductivities paying special attention to the photovoltaic induced Hall effect, which is only present for massive charged carriers. In the vicinity of the Floquet condensate the optical Hall coefficient persists at zero driving field, signalling time reversal symmetry breaking.

9.423472

9.204599

10.132289

8.704995

9.027676

9.235369

8.980606

8.574543

8.632349

10.116208

8.653544

9.113474

9.14255

8.965999

8.927107

8.798943

8.874549

8.864104

8.821932

9.466946

8.708763

hep-th/0005257

Vladimir Nesterenko

V.V. Nesterenko, G. Lambiase, and G. Scarpetta

Casimir Energy of a Semi-Circular Infinite Cylinder

REVTeX, 16 pages, 1 figure in a separate fig1.eps file; revised version accepted for publication in J. Math. Phys

J.Math.Phys. 42 (2001) 1974-1986

10.1063/1.1361064

null

hep-th

null

The Casimir energy of a semi-circular cylindrical shell is calculated by making use of the zeta function technique. This shell is obtained by crossing an infinite circular cylindrical shell by a plane passing through the symmetry axes of the cylinder and by considering only a half of this configuration. All the surfaces, including the cutting plane, are assumed to be perfectly conducting. The zeta functions for scalar massless fields obeying the Dirichlet and Neumann boundary conditions on the semi-circular cylinder are constructed exactly. The sum of these zeta functions gives the zeta function for electromagnetic field in question. The relevant plane problem is considered also. In all the cases the final expressions for the corresponding Casimir energies contain the pole contributions which are the consequence of the edges or corners in the boundaries. This implies that further renormalization is needed in order for the finite physical values for vacuum energy to be obtained for given boundary conditions.

[ { "created": "Fri, 26 May 2000 18:30:21 GMT", "version": "v1" }, { "created": "Wed, 20 Dec 2000 12:37:02 GMT", "version": "v2" } ]

2009-10-31

[ [ "Nesterenko", "V. V.", "" ], [ "Lambiase", "G.", "" ], [ "Scarpetta", "G.", "" ] ]

The Casimir energy of a semi-circular cylindrical shell is calculated by making use of the zeta function technique. This shell is obtained by crossing an infinite circular cylindrical shell by a plane passing through the symmetry axes of the cylinder and by considering only a half of this configuration. All the surfaces, including the cutting plane, are assumed to be perfectly conducting. The zeta functions for scalar massless fields obeying the Dirichlet and Neumann boundary conditions on the semi-circular cylinder are constructed exactly. The sum of these zeta functions gives the zeta function for electromagnetic field in question. The relevant plane problem is considered also. In all the cases the final expressions for the corresponding Casimir energies contain the pole contributions which are the consequence of the edges or corners in the boundaries. This implies that further renormalization is needed in order for the finite physical values for vacuum energy to be obtained for given boundary conditions.

9.48693

9.850715

10.625243

8.780519

8.915545

9.297583

9.194674

8.920008

9.136602

11.110136

9.029258

8.909966

9.382986

9.183083

8.721638

9.064355

8.822346

9.335443

8.828033

9.491181

9.04786

1301.4687

Mairi Sakellariadou

Noncommutative Spectral Geometry: A Short Review

11 pages. Invited talk in the Sixth International Workshop DICE2012, Castello Pasquini/Castiglioncello (Tuscany), September 17-21, 2012

Conference Series Vol. 442 (2013) 012015

10.1088/1742-6596/442/1/012015

KCL-PH-TH/2013-4

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

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

We review the noncommutative spectral geometry, a gravitational model that combines noncommutative geometry with the spectral action principle, in an attempt to unify General Relativity and the Standard Model of electroweak and strong interactions. Despite the phenomenological successes of the model, the discrepancy between the predicted Higgs mass and the current experimental data indicate that one may have to go beyond the simple model considered at first. We review the current status of the phenomenological consequences and their implications. Since this model lives by construction at high energy scales, namely at the Grand Unified Theories scale, it provides a natural framework to investigate early universe cosmology. We briefly review some of its cosmological consequences.

[ { "created": "Sun, 20 Jan 2013 20:46:41 GMT", "version": "v1" }, { "created": "Tue, 22 Jan 2013 17:52:45 GMT", "version": "v2" } ]

2014-03-25

[ [ "Sakellariadou", "Mairi", "" ] ]

We review the noncommutative spectral geometry, a gravitational model that combines noncommutative geometry with the spectral action principle, in an attempt to unify General Relativity and the Standard Model of electroweak and strong interactions. Despite the phenomenological successes of the model, the discrepancy between the predicted Higgs mass and the current experimental data indicate that one may have to go beyond the simple model considered at first. We review the current status of the phenomenological consequences and their implications. Since this model lives by construction at high energy scales, namely at the Grand Unified Theories scale, it provides a natural framework to investigate early universe cosmology. We briefly review some of its cosmological consequences.

7.441772

7.130136

7.586612

6.687588

6.95779

6.883257

7.323445

6.75615

7.260049

7.622138

7.071136

6.968249

7.127354

7.035076

7.205445

6.684612

7.005872

6.970179

7.013888

7.136327

7.107089

2011.13644

Orlando Panella

V. D. Paccoia, O. Panella and P. Roy

Angular momentum quantum backflow in the noncommutative plane

10 pages, 5 figures. Accepted for publication in Physical Review A

Phys. Rev. A 102, 062218 (2020)

10.1103/PhysRevA.102.062218

null

hep-th quant-ph

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

We study the quantum backflow problem in the noncommutative plane. In particular, we have considered a charged particle with and without an oscillator interaction with noncommuting momentum operators and examined angular momentum backflow in each case and how they differ from each other. We also propose a probability associated with the occurence of angular momentum backflow and investigate whether or not the probability depends on a physical parameter, namely the magnetic field.

[ { "created": "Fri, 27 Nov 2020 10:36:58 GMT", "version": "v1" } ]

2020-12-29

[ [ "Paccoia", "V. D.", "" ], [ "Panella", "O.", "" ], [ "Roy", "P.", "" ] ]

We study the quantum backflow problem in the noncommutative plane. In particular, we have considered a charged particle with and without an oscillator interaction with noncommuting momentum operators and examined angular momentum backflow in each case and how they differ from each other. We also propose a probability associated with the occurence of angular momentum backflow and investigate whether or not the probability depends on a physical parameter, namely the magnetic field.

14.505126

15.713079

15.358191

13.918993

14.108028

17.038748

14.855469

13.968921

14.030777

18.597013

15.36037

13.919713

14.38777

13.708343

13.998816

14.75073

14.251546

13.868289

14.221975

13.262771

13.49372

2402.07557

Himanshu Gaur

Total and Symmetry resolved Entanglement spectra in some Fermionic CFTs from the BCFT approach

27 pages, 2 figures

null

hep-th quant-ph

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

In this work, we study the universal total and symmetry-resolved entanglement spectra for a single interval of some $2$d Fermionic CFTs using the Boundary Conformal Field theory (BCFT) approach. In this approach, the partition of Hilbert space is achieved by cutting out discs around the entangling boundary points and imposing boundary conditions preserving the extended symmetry under scrutiny. The reduced density moments are then related to the BCFT partition functions and are also found to be diagonal in the symmetry charge sectors. In particular, we first study the entanglement spectra of massless Dirac fermion and modular invariant Dirac fermion by considering the boundary conditions preserving either the axial or the vector $U(1)$ symmetry. The total entanglement spectra of the modular invariant Dirac fermion are shown to match with the compact boson result at the duality radius, while for the massless Dirac fermion, it is found that the boundary entropy term doesn't match with the self-dual compact boson. The symmetry-resolved entanglement is found to be the same in all cases, except for the charge spectrum which is dependent on both the symmetry and the theory. We also study the entanglement spectra of $N$ massless Dirac fermions by considering boundary conditions preserving different chiral $U(1)^N$ symmetries. Entanglement spectra are studied for $U(1)^M$ subgroups, where $M\leq N$, by imposing boundary conditions preserving different chiral symmetries. The total entanglement spectra are found to be sensitive to the representations of the $U(1)^M$ symmetry in the boundary theory among other behaviours at $O(1)$. Similar results are also found for the Symmetry resolved entanglement entropies. The characteristic $\log\log\left(\ell/\epsilon\right)$ term of the $U(1)$ symmetry is found to be proportional to $M$ in the symmetry-resolved entanglement spectra.

[ { "created": "Mon, 12 Feb 2024 10:42:17 GMT", "version": "v1" } ]

2024-02-13

[ [ "Gaur", "Himanshu", "" ] ]

In this work, we study the universal total and symmetry-resolved entanglement spectra for a single interval of some $2$d Fermionic CFTs using the Boundary Conformal Field theory (BCFT) approach. In this approach, the partition of Hilbert space is achieved by cutting out discs around the entangling boundary points and imposing boundary conditions preserving the extended symmetry under scrutiny. The reduced density moments are then related to the BCFT partition functions and are also found to be diagonal in the symmetry charge sectors. In particular, we first study the entanglement spectra of massless Dirac fermion and modular invariant Dirac fermion by considering the boundary conditions preserving either the axial or the vector $U(1)$ symmetry. The total entanglement spectra of the modular invariant Dirac fermion are shown to match with the compact boson result at the duality radius, while for the massless Dirac fermion, it is found that the boundary entropy term doesn't match with the self-dual compact boson. The symmetry-resolved entanglement is found to be the same in all cases, except for the charge spectrum which is dependent on both the symmetry and the theory. We also study the entanglement spectra of $N$ massless Dirac fermions by considering boundary conditions preserving different chiral $U(1)^N$ symmetries. Entanglement spectra are studied for $U(1)^M$ subgroups, where $M\leq N$, by imposing boundary conditions preserving different chiral symmetries. The total entanglement spectra are found to be sensitive to the representations of the $U(1)^M$ symmetry in the boundary theory among other behaviours at $O(1)$. Similar results are also found for the Symmetry resolved entanglement entropies. The characteristic $\log\log\left(\ell/\epsilon\right)$ term of the $U(1)$ symmetry is found to be proportional to $M$ in the symmetry-resolved entanglement spectra.

7.582893

7.731784

8.110199

7.146982

7.7169

7.436018

7.531023

7.687258

7.070262

8.5101

7.512202

7.226866

7.524115

7.187112

7.276501

7.300428

7.301955

7.262521

7.127369

7.592263

7.243522

2207.06427

Jerome P. Gauntlett

Igal Arav, Jerome P. Gauntlett, Matthew M. Roberts and Christopher Rosen

Leigh-Strassler compactified on a spindle

55 pages, 2 figures. Very minor changes - published version

null

10.1007/JHEP10(2022)067

Imperial/TP/2022/JG/02

hep-th

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

We construct a new class of supersymmetric $AdS_3\times Y_7$ solutions of type IIB supergravity, where $Y_7$ is an $S^5$ fibration over a spindle, which are dual to $d=2$, $\mathcal{N}=(0,2)$ SCFTs. The solutions are constructed in a sub-truncation of $D=5$, $SO(6)$ maximal gauged supergravity and they all lie within the anti-twist class. We show that the central charge computed from the gravity solutions agrees with an anomaly polynomial calculation associated with compactifying the $\mathcal{N}=1$, $d=4$ Leigh-Strassler SCFT on a spindle.

[ { "created": "Wed, 13 Jul 2022 18:00:00 GMT", "version": "v1" }, { "created": "Sun, 9 Oct 2022 19:11:54 GMT", "version": "v2" } ]

2022-10-26

[ [ "Arav", "Igal", "" ], [ "Gauntlett", "Jerome P.", "" ], [ "Roberts", "Matthew M.", "" ], [ "Rosen", "Christopher", "" ] ]

We construct a new class of supersymmetric $AdS_3\times Y_7$ solutions of type IIB supergravity, where $Y_7$ is an $S^5$ fibration over a spindle, which are dual to $d=2$, $\mathcal{N}=(0,2)$ SCFTs. The solutions are constructed in a sub-truncation of $D=5$, $SO(6)$ maximal gauged supergravity and they all lie within the anti-twist class. We show that the central charge computed from the gravity solutions agrees with an anomaly polynomial calculation associated with compactifying the $\mathcal{N}=1$, $d=4$ Leigh-Strassler SCFT on a spindle.

4.916073

3.82799

5.982687

4.148217

4.031289

3.750383

3.876122

3.79397

4.152006

6.624032

4.083656

4.435513

5.494771

4.629382

4.627375

4.563048

4.537084

4.748692

4.548269

5.371484

4.671146

2301.09628

Akash Jain

Jay Armas, Akash Jain

Approximate higher-form symmetries, topological defects, and dynamical phase transitions

null

Phys. Rev. D 109, 045019 (2024)

10.1103/PhysRevD.109.045019

null

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

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

Higher-form symmetries are a valuable tool for classifying topological phases of matter. However, emergent higher-form symmetries in interacting many-body quantum systems are not typically exact due to the presence of topological defects. In this paper, we develop a systematic framework for building effective theories with approximate higher-form symmetries, i.e. higher-form symmetries that are weakly explicitly broken. We focus on a continuous U(1) q-form symmetry and study various patterns of symmetry breaking. This includes spontaneous or explicit breaking of higher-form symmetries, as well as pseudo-spontaneous symmetry breaking patterns where the higher-form symmetry is both spontaneously and explicitly broken. We uncover a web of dualities between such phases and highlight their role in describing the presence of dynamical higher-form vortices. In order to study the out-of-equilibrium dynamics of these phases of matter, we formulate respective hydrodynamic theories and study the spectra of excitations exhibiting higher-form charge relaxation and Goldstone relaxation effects. We show that our framework is able to describe various phase transitions due to proliferation of vortices or defects. This includes the melting transition in smectic crystals, the plasma phase transition from polarised gases to magnetohydrodynamics, the spin-ice transition, the superfluid to neutral fluid transition and the Meissner effect in superconductors, among many others.

[ { "created": "Mon, 23 Jan 2023 18:57:44 GMT", "version": "v1" } ]

2024-03-04

[ [ "Armas", "Jay", "" ], [ "Jain", "Akash", "" ] ]

Higher-form symmetries are a valuable tool for classifying topological phases of matter. However, emergent higher-form symmetries in interacting many-body quantum systems are not typically exact due to the presence of topological defects. In this paper, we develop a systematic framework for building effective theories with approximate higher-form symmetries, i.e. higher-form symmetries that are weakly explicitly broken. We focus on a continuous U(1) q-form symmetry and study various patterns of symmetry breaking. This includes spontaneous or explicit breaking of higher-form symmetries, as well as pseudo-spontaneous symmetry breaking patterns where the higher-form symmetry is both spontaneously and explicitly broken. We uncover a web of dualities between such phases and highlight their role in describing the presence of dynamical higher-form vortices. In order to study the out-of-equilibrium dynamics of these phases of matter, we formulate respective hydrodynamic theories and study the spectra of excitations exhibiting higher-form charge relaxation and Goldstone relaxation effects. We show that our framework is able to describe various phase transitions due to proliferation of vortices or defects. This includes the melting transition in smectic crystals, the plasma phase transition from polarised gases to magnetohydrodynamics, the spin-ice transition, the superfluid to neutral fluid transition and the Meissner effect in superconductors, among many others.

8.821793

9.335719

9.626734

8.684229

8.885806

9.147353

9.43481

8.562586

8.327131

9.900369

8.350784

8.291708

8.765816

8.526462

8.478444

8.697425

8.508561

8.613504

8.399514

9.006921

8.284429

1404.1565

Dong-han Yeom

Misao Sasaki, Dong-han Yeom

Thin-shell bubbles and information loss problem in anti de Sitter background

18 pages, 6 figures

JHEP 12(2014)155

10.1007/JHEP12(2014)155

YITP-14-25

hep-th gr-qc

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

We study the motion of thin-shell bubbles and their tunneling in anti de Sitter (AdS) background. We are interested in the case when the outside of a shell is a Schwarzschild-AdS space (false vacuum) and the inside of it is an AdS space with a lower vacuum energy (true vacuum). If a collapsing true vacuum bubble is created, classically it will form a Schwarzschild-AdS black hole. However, this collapsing bubble can tunnel to a bouncing bubble that moves out to spatial infinity. Then, although the classical causal structure of a collapsing true vacuum bubble has the singularity and the event horizon, quantum mechanically the wavefunction has support for a history without any singularity nor event horizon which is mediated by the non-perturbative, quantum tunneling effect. This may be regarded an explicit example that shows the unitarity of an asymptotic observer in AdS, while a classical observer who only follows the most probable history effectively lose information due to the formation of an event horizon.

[ { "created": "Sun, 6 Apr 2014 11:22:36 GMT", "version": "v1" }, { "created": "Thu, 25 Dec 2014 08:13:06 GMT", "version": "v2" } ]

2014-12-30

[ [ "Sasaki", "Misao", "" ], [ "Yeom", "Dong-han", "" ] ]

We study the motion of thin-shell bubbles and their tunneling in anti de Sitter (AdS) background. We are interested in the case when the outside of a shell is a Schwarzschild-AdS space (false vacuum) and the inside of it is an AdS space with a lower vacuum energy (true vacuum). If a collapsing true vacuum bubble is created, classically it will form a Schwarzschild-AdS black hole. However, this collapsing bubble can tunnel to a bouncing bubble that moves out to spatial infinity. Then, although the classical causal structure of a collapsing true vacuum bubble has the singularity and the event horizon, quantum mechanically the wavefunction has support for a history without any singularity nor event horizon which is mediated by the non-perturbative, quantum tunneling effect. This may be regarded an explicit example that shows the unitarity of an asymptotic observer in AdS, while a classical observer who only follows the most probable history effectively lose information due to the formation of an event horizon.

8.888387

9.933075

9.080407

8.341946

8.856644

9.515816

9.251673

9.732768

9.031194

10.158291

8.973584

8.821368

8.787121

8.735853

8.732443

8.517193

8.675794

9.005241

8.785531

9.037638

8.780411

hep-th/0106025

Michael A. Clayton

M. A. Clayton

Nonlocal regularization of abelian models with spontaneous symmetry breaking

11 pages, uses amsart. To appear in Mod. Phys. Lett A

Mod.Phys.Lett. A16 (2001) 1117-1127

10.1142/S0217732301004327

null

hep-th

null

We demonstrate how nonlocal regularization is applied to gauge invariant models with spontaneous symmetry breaking. Motivated by the ability to find a nonlocal BRST invariance that leads to the decoupling of longitudinal gauge bosons from physical amplitudes, we show that the original formulation of the method leads to a nontrivial relationship between the nonlocal form factors that can appear in the model.

[ { "created": "Sun, 3 Jun 2001 16:14:08 GMT", "version": "v1" } ]

2009-11-07

[ [ "Clayton", "M. A.", "" ] ]

We demonstrate how nonlocal regularization is applied to gauge invariant models with spontaneous symmetry breaking. Motivated by the ability to find a nonlocal BRST invariance that leads to the decoupling of longitudinal gauge bosons from physical amplitudes, we show that the original formulation of the method leads to a nontrivial relationship between the nonlocal form factors that can appear in the model.

13.19765

12.846073

11.768949

10.124265

10.965272

10.584687

10.917654

10.527055

9.526341

11.503366

10.7289

10.492041

10.459098

10.588775

10.799705

11.132024

10.283022

10.891566

10.207115

10.739454

10.033148

1407.4061

Juraj Tekel

Uniform order phase and phase diagram of scalar field theory on fuzzy $\mathbb C P^n$

22 pages, 3 figures, 2 tables; v2 - typos corrected, version published in JHEP

JHEP10(2014)144

10.1007/JHEP10(2014)144

null

hep-th math-ph math.MP

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

We study the phase structure of the scalar field theory on fuzzy $\mathbb C P^n$ in the large $N$ limit. Considering the theory as a hermitian matrix model we compute the perturbative expansion of the kinetic term effective action under the assumption of distributions being close to the semicircle. We show that this model admits also a uniform order phase, corresponding to the asymmetric one-cut distribution, and we find the phase boundary. We compute a non-perturbative approximation to the effective action which enables us to identify the disorder and the non-uniform order phases and the phase transition between them. We locate the triple point of the theory and find an agreement with previous numerical studies for the case of the fuzzy sphere.

[ { "created": "Tue, 15 Jul 2014 17:22:20 GMT", "version": "v1" }, { "created": "Mon, 3 Nov 2014 16:40:04 GMT", "version": "v2" } ]

2014-11-04

[ [ "Tekel", "Juraj", "" ] ]

We study the phase structure of the scalar field theory on fuzzy $\mathbb C P^n$ in the large $N$ limit. Considering the theory as a hermitian matrix model we compute the perturbative expansion of the kinetic term effective action under the assumption of distributions being close to the semicircle. We show that this model admits also a uniform order phase, corresponding to the asymmetric one-cut distribution, and we find the phase boundary. We compute a non-perturbative approximation to the effective action which enables us to identify the disorder and the non-uniform order phases and the phase transition between them. We locate the triple point of the theory and find an agreement with previous numerical studies for the case of the fuzzy sphere.

9.853716

9.253551

9.948012

8.74542

8.940008

9.041194

8.452384

8.808103

8.236821

11.145813

8.51638

8.947783

10.150459

9.241085

9.471698

9.175269

8.997782

9.132883

9.174156

9.562236

8.924985

hep-th/0511095

Mikhail Voloshin

A. Gorsky and M.B. Voloshin

Particle decay in false vacuum

19 pages, 2 figures

Phys.Rev.D73:025015,2006

10.1103/PhysRevD.73.025015

FTPI-MINN-05/46-T, UMN-TH-2418-05, ITEP-TH-63/05

hep-th

null

We revisit the problem of decay of a metastable vacuum induced by the presence of a particle. For the bosons of the `master field' the problem is solved in any number of dimensions in terms of the spontaneous decay rate of the false vacuum, while for a fermion we find a closed expression for the decay rate in (1+1) dimensions. It is shown that in the (1+1) dimensional case an infrared problem of one-loop correction to the decay rate of a boson is resolved due to a cancellation between soft modes of the field. We also find the boson decay rate in the `sine-Gordon staircase' model in the limits of strong and weak coupling.

[ { "created": "Tue, 8 Nov 2005 20:34:09 GMT", "version": "v1" } ]

2008-11-26

[ [ "Gorsky", "A.", "" ], [ "Voloshin", "M. B.", "" ] ]

We revisit the problem of decay of a metastable vacuum induced by the presence of a particle. For the bosons of the `master field' the problem is solved in any number of dimensions in terms of the spontaneous decay rate of the false vacuum, while for a fermion we find a closed expression for the decay rate in (1+1) dimensions. It is shown that in the (1+1) dimensional case an infrared problem of one-loop correction to the decay rate of a boson is resolved due to a cancellation between soft modes of the field. We also find the boson decay rate in the `sine-Gordon staircase' model in the limits of strong and weak coupling.

10.297359

8.641127

8.524417

8.635572

9.035372

8.463695

9.239503

8.799142

8.402278

9.537918

8.688178

8.608303

9.106149

8.831121

8.755107

8.735476

8.500239

8.433788

8.944405

8.461135

8.778058

hep-th/0109121

Hyun Seok Yang

Keun-Young Kim, Bum-Hoon Lee and Hyun Seok Yang

Noncommutative Instantons on R^2_{NC} x R^2_C

v2: 15 pages, 1 figure, Latex. Added comments for clarification. References added

Phys.Lett. B523 (2001) 357-366

10.1016/S0370-2693(01)01354-5

null

hep-th

null

We study U(1) and U(2) noncommutative instantons on R^2_{NC} x R^2_C based on the ADHM construction. It is shown that a mild singularity in the instanton solutions for both self-dual and anti-self-dual gauge fields always disappears in gauge invariant quantities and thus physically regular solutions can be constructed even though any projected states are not involved in the ADHM construction. Furthermore the instanton number is also an integer.

[ { "created": "Mon, 17 Sep 2001 06:35:19 GMT", "version": "v1" }, { "created": "Wed, 26 Sep 2001 09:06:40 GMT", "version": "v2" } ]

2009-11-07

[ [ "Kim", "Keun-Young", "" ], [ "Lee", "Bum-Hoon", "" ], [ "Yang", "Hyun Seok", "" ] ]

We study U(1) and U(2) noncommutative instantons on R^2_{NC} x R^2_C based on the ADHM construction. It is shown that a mild singularity in the instanton solutions for both self-dual and anti-self-dual gauge fields always disappears in gauge invariant quantities and thus physically regular solutions can be constructed even though any projected states are not involved in the ADHM construction. Furthermore the instanton number is also an integer.

14.078543

11.100228

15.702021

12.784966

11.720462

10.945373

11.287913

10.758662

12.266327

21.285023

12.44257

12.162066

14.4025

13.314846

12.770667

12.512028

12.588135

12.145975

12.816842

14.691372

12.892364

1207.0279

Andrei Mironov

A. Anokhina, A. Mironov, A. Morozov and An. Morozov

Racah coefficients and extended HOMFLY polynomials for all 5-, 6- and 7-strand braids

16 pages + Tables and Appendices

Nuclear Physics, B868 (2013) 271-313

10.1016/j.nuclphysb.2012.11.006

FIAN/TD-12/12; ITEP/TH-33/12

hep-th math.GT math.QA

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

Basing on evaluation of the Racah coefficients for SU_q(3) (which supported the earlier conjecture of their universal form) we derive explicit formulas for all the 5-, 6- and 7-strand Wilson averages in the fundamental representation of arbitrary SU(N) group (the HOMFLY polynomials). As an application, we list the answers for all 5-strand knots with 9 crossings. In fact, the 7-strand formulas are sufficient to reproduce all the HOMFLY polynomials from the katlas.org: they are all described at once by a simple explicit formula with a very transparent structure. Moreover, would the formulas for the relevant SU_q(3) Racah coefficients remain true for all other quantum groups, the paper provides a complete description of the fundamental HOMFLY polynomials for all braids with any number of strands.

[ { "created": "Mon, 2 Jul 2012 05:21:44 GMT", "version": "v1" }, { "created": "Tue, 30 Oct 2012 22:37:05 GMT", "version": "v2" } ]

2015-06-05

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

Basing on evaluation of the Racah coefficients for SU_q(3) (which supported the earlier conjecture of their universal form) we derive explicit formulas for all the 5-, 6- and 7-strand Wilson averages in the fundamental representation of arbitrary SU(N) group (the HOMFLY polynomials). As an application, we list the answers for all 5-strand knots with 9 crossings. In fact, the 7-strand formulas are sufficient to reproduce all the HOMFLY polynomials from the katlas.org: they are all described at once by a simple explicit formula with a very transparent structure. Moreover, would the formulas for the relevant SU_q(3) Racah coefficients remain true for all other quantum groups, the paper provides a complete description of the fundamental HOMFLY polynomials for all braids with any number of strands.

12.241769

11.585449

12.083569

11.12196

12.193926

12.197616

11.635212

11.26103

11.186625

13.806118

11.423965

11.163243

11.019822

10.514445

10.945606

10.907749

10.752104

10.898828

10.564134

11.671906

10.618015

hep-th/0307199

Hartmann Romer

Michael Forger, Hartmann R\"omer

Currents and the Energy-Momentum Tensor in Classical Field Theory: A fresh look at an Old Problem

91 Pages

Annals Phys. 309 (2004) 306-389

10.1016/j.aop.2003.08.011

null

hep-th math-ph math.MP

null

We give a comprehensive review of various methods to define currents and the energy-momentum tensor in classical field theory, with emphasis on a geometric point of view. The necessity of ``improving'' the expressions provided by the canonical Noether procedure is addressed and given an adequate geometric framework. The main new ingredient is the explicit formulation of a principle of ``ultralocality'' with respect to the symmetry generators, which is shown to fix the ambiguity inherent in the procedure of improvement and guide it towards a unique answer: when combined with the appropriate splitting of the fields into sectors, it leads to the well-known expressions for the current as the variational derivative of the matter field Lagrangian with respect to the gauge field and for the energy-momentum tensor as the variational derivative of the matter field Lagrangian with respect to the metric tensor. In the second case, the procedure is shown to work even when the matter field Lagrangian depends explicitly on the curvature, thus establishing the correct relation between scale invariance, in the form of local Weyl invariance ``on shell'', and tracelessness of the energy-momentum tensor, required for a consistent definition of the concept of a conformal field theory.

[ { "created": "Mon, 21 Jul 2003 14:02:57 GMT", "version": "v1" } ]

2015-06-26

[ [ "Forger", "Michael", "" ], [ "Römer", "Hartmann", "" ] ]

We give a comprehensive review of various methods to define currents and the energy-momentum tensor in classical field theory, with emphasis on a geometric point of view. The necessity of ``improving'' the expressions provided by the canonical Noether procedure is addressed and given an adequate geometric framework. The main new ingredient is the explicit formulation of a principle of ``ultralocality'' with respect to the symmetry generators, which is shown to fix the ambiguity inherent in the procedure of improvement and guide it towards a unique answer: when combined with the appropriate splitting of the fields into sectors, it leads to the well-known expressions for the current as the variational derivative of the matter field Lagrangian with respect to the gauge field and for the energy-momentum tensor as the variational derivative of the matter field Lagrangian with respect to the metric tensor. In the second case, the procedure is shown to work even when the matter field Lagrangian depends explicitly on the curvature, thus establishing the correct relation between scale invariance, in the form of local Weyl invariance ``on shell'', and tracelessness of the energy-momentum tensor, required for a consistent definition of the concept of a conformal field theory.

7.075836

7.59467

7.718125

7.490031

7.985927

7.875269

8.109952

7.697145

7.489947

8.090201

7.014453

7.240059

7.138552

7.023198

7.176624

7.261883

7.201395

7.012752

7.076238

7.149698

7.025936

1309.3514

Qing-Guo Huang

A polynomial f(R) inflation model

5 pages, 3 figures; refs added, version accepted for publication in JCAP

JCAP 02(2014)035

10.1088/1475-7516/2014/02/035

null

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

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

Motivated by the ultraviolet complete theory of quantum gravity, for example the string theory, we investigate a polynomial $f(R )$ inflation model in detail. We calculate the spectral index and tensor-to-scalar ratio in the $f(R )$ inflation model with the form of $f(R )=R+{R^2\over 6M^2}+{\lambda_n\over 2n}{R^n\over (3M^2)^{n-1}}$. Compared to Planck 2013, we find that $R^n$ term should be exponentially suppressed, i.e. $|\lambda_n|\lesssim 10^{-2n+2.6}$.

[ { "created": "Fri, 13 Sep 2013 17:12:44 GMT", "version": "v1" }, { "created": "Tue, 18 Feb 2014 12:52:59 GMT", "version": "v2" } ]

2015-06-17

[ [ "Huang", "Qing-Guo", "" ] ]

Motivated by the ultraviolet complete theory of quantum gravity, for example the string theory, we investigate a polynomial $f(R )$ inflation model in detail. We calculate the spectral index and tensor-to-scalar ratio in the $f(R )$ inflation model with the form of $f(R )=R+{R^2\over 6M^2}+{\lambda_n\over 2n}{R^n\over (3M^2)^{n-1}}$. Compared to Planck 2013, we find that $R^n$ term should be exponentially suppressed, i.e. $|\lambda_n|\lesssim 10^{-2n+2.6}$.

6.311219

6.14151

5.690486

5.356322

5.830574

6.056781

6.01786

5.788448

5.984057

6.246702

5.728786

5.66663

5.571958

5.49749

5.806873

5.801039

5.957661

5.535628

5.784528

5.666427

5.601831

hep-th/9605036

Eva Silverstein

S. Kachru, N. Seiberg, and E. Silverstein

SUSY Gauge Dynamics and Singularities of 4d N=1 String Vacua

17 pages, harvmac big

Nucl.Phys.B480:170-184,1996

10.1016/S0550-3213(96)00525-1

HUTP-96/A016, PUPT-1622, RU-96-30

hep-th

null

Many N=1 heterotic string compactifications exhibit physically mysterious singularities at codimension one in the moduli space of vacua. At these singularities, Yukawa couplings of charged fields develop poles as a function of the moduli. We explain these conformal field theory singularities, in a class of examples, as arising from non-perturbative gauge dynamics of non-perturbative gauge bosons (whose gauge coupling is the sigma model coupling) in the string theory.

[ { "created": "Mon, 6 May 1996 23:50:23 GMT", "version": "v1" } ]

2009-09-15

[ [ "Kachru", "S.", "" ], [ "Seiberg", "N.", "" ], [ "Silverstein", "E.", "" ] ]

Many N=1 heterotic string compactifications exhibit physically mysterious singularities at codimension one in the moduli space of vacua. At these singularities, Yukawa couplings of charged fields develop poles as a function of the moduli. We explain these conformal field theory singularities, in a class of examples, as arising from non-perturbative gauge dynamics of non-perturbative gauge bosons (whose gauge coupling is the sigma model coupling) in the string theory.

9.582868

8.75279

10.359861

7.971542

9.234838

8.818384

8.847964

9.207446

8.520875

10.029709

7.926247

8.964094

9.665114

8.738997

8.650064

8.903732

8.633574

9.274523

8.830604

9.707018

8.512443

hep-th/0512283

Konrad Waldorf

Urs Schreiber, Christoph Schweigert, Konrad Waldorf

Unoriented WZW Models and Holonomy of Bundle Gerbes

46 pages, 9 figures. Version 2 contains corrected proofs of Lemma 2 and Theorem 1, and an improved discussion of the WZW bundle gerbe

Commun.Math.Phys.274:31-64,2007

10.1007/s00220-007-0271-x

ZMP-HH/05-28, Hamburger Beitr. zur Mathematik Nr. 228

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

null

The Wess-Zumino term in two-dimensional conformal field theory is best understood as a surface holonomy of a bundle gerbe. We define additional structure for a bundle gerbe that allows to extend the notion of surface holonomy to unoriented surfaces. This provides a candidate for the Wess-Zumino term for WZW models on unoriented surfaces. Our ansatz reproduces some results known from the algebraic approach to WZW models.

[ { "created": "Thu, 22 Dec 2005 10:01:00 GMT", "version": "v1" }, { "created": "Sun, 1 Jul 2007 13:54:05 GMT", "version": "v2" } ]

2011-05-25

[ [ "Schreiber", "Urs", "" ], [ "Schweigert", "Christoph", "" ], [ "Waldorf", "Konrad", "" ] ]

The Wess-Zumino term in two-dimensional conformal field theory is best understood as a surface holonomy of a bundle gerbe. We define additional structure for a bundle gerbe that allows to extend the notion of surface holonomy to unoriented surfaces. This provides a candidate for the Wess-Zumino term for WZW models on unoriented surfaces. Our ansatz reproduces some results known from the algebraic approach to WZW models.

6.959644

6.222119

7.179078

6.099426

6.252859

6.42064

6.056076

6.107347

5.98254

7.101556

6.023427

6.129318

6.64162

6.130647

5.87945

6.075974

6.12277

6.081494

5.865924

6.433884

6.177263

1505.00689

Ivan Jardim

I. C. Jardim, G. Alencar, R. R. Landim, R.N. Costa Filho

Does Geometric Coupling Generates Resonances?

10 pages, 10 figures

null

10.1209/0295-5075/115/51001

null

hep-th

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

Geometrical coupling in a co-dimensional one Randall-Sundrum scenario (RS) is used to study resonances of $p-$form fields. The resonances are calculated using the transfer matrix method. The model studied consider the standard RS with delta-like branes, and branes generated by kinks and domain-wall as well. The parameters are changed to control the thickness of the smooth brane. With this a very interesting pattern is found for the resonances. The geometrical coupling does not generate resonances for the reduced $p-$form in all cases considered.

[ { "created": "Mon, 4 May 2015 16:03:50 GMT", "version": "v1" }, { "created": "Fri, 8 May 2015 19:14:12 GMT", "version": "v2" } ]

2016-11-23

[ [ "Jardim", "I. C.", "" ], [ "Alencar", "G.", "" ], [ "Landim", "R. R.", "" ], [ "Filho", "R. N. Costa", "" ] ]

Geometrical coupling in a co-dimensional one Randall-Sundrum scenario (RS) is used to study resonances of $p-$form fields. The resonances are calculated using the transfer matrix method. The model studied consider the standard RS with delta-like branes, and branes generated by kinks and domain-wall as well. The parameters are changed to control the thickness of the smooth brane. With this a very interesting pattern is found for the resonances. The geometrical coupling does not generate resonances for the reduced $p-$form in all cases considered.

20.914394

14.219927

19.896362

15.384383

13.919195

13.98547

13.490509

14.256488

15.0013

21.066923

16.32342

14.969629

17.488827

16.412086

16.325693

15.719382

15.916342

16.02166

16.207867

18.456968

15.97816

2304.14105

Michele Cirafici

Hodge-Elliptic genera, K3 surfaces and Enumerative Geometry

43 pages, 2 appendices

null

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

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

K3 surfaces play a prominent role in string theory and algebraic geometry. The properties of their enumerative invariants have important consequences in black hole physics and in number theory. To a K3 surface string theory associates an Elliptic genus, a certain partition function directly related to the theory of Jacobi modular forms. A multiplicative lift of the Elliptic genus produces another modular object, an Igusa cusp form, which is the generating function of BPS invariants of K3 x E. In this note we will discuss a refinement of this chain of ideas. The Elliptic genus can be generalized to the so called Hodge-Elliptic genus which is then related to the counting of refined BPS states of K3 x E. We show how such BPS invariants can be computed explicitly in terms of different versions of the Hodge-Elliptic genus, sometimes in closed form, and discuss some generalizations.

[ { "created": "Thu, 27 Apr 2023 11:32:51 GMT", "version": "v1" } ]

2023-04-28

[ [ "Cirafici", "Michele", "" ] ]

K3 surfaces play a prominent role in string theory and algebraic geometry. The properties of their enumerative invariants have important consequences in black hole physics and in number theory. To a K3 surface string theory associates an Elliptic genus, a certain partition function directly related to the theory of Jacobi modular forms. A multiplicative lift of the Elliptic genus produces another modular object, an Igusa cusp form, which is the generating function of BPS invariants of K3 x E. In this note we will discuss a refinement of this chain of ideas. The Elliptic genus can be generalized to the so called Hodge-Elliptic genus which is then related to the counting of refined BPS states of K3 x E. We show how such BPS invariants can be computed explicitly in terms of different versions of the Hodge-Elliptic genus, sometimes in closed form, and discuss some generalizations.

8.144526

8.941237

8.985674

7.598209

8.604857

8.695338

8.539921

8.28755

8.109841

9.880792

8.122644

7.747396

7.708278

7.522653

7.778915

7.644694

7.673978

7.820232

7.813566

7.757588

7.446095

2009.11595

Alejandro Vilar Lopez

Elena C\'aceres, Rodrigo Castillo V\'asquez, Alejandro Vilar L\'opez

Entanglement entropy in cubic gravitational theories

18 pages, 6 figures and 4 appendices; v3: major revision, including new content (subsection 4.2 and appendix B) and correction of some errors

null

10.1007/JHEP05(2021)186

null

hep-th gr-qc

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

We derive the holographic entanglement entropy functional for a generic gravitational theory whose action contains terms up to cubic order in the Riemann tensor, and in any dimension. This is the simplest case for which the so-called splitting problem manifests itself, and we explicitly show that the two common splittings present in the literature - minimal and non-minimal - produce different functionals. We apply our results to the particular examples of a boundary disk and a boundary strip in a state dual to 4-dimensional Poincar\'e AdS in Einsteinian Cubic Gravity, obtaining the bulk entanglement surface for both functionals and finding that causal wedge inclusion is respected for both splittings and a wide range of values of the cubic coupling.

[ { "created": "Thu, 24 Sep 2020 10:56:14 GMT", "version": "v1" }, { "created": "Mon, 23 Nov 2020 19:16:03 GMT", "version": "v2" }, { "created": "Mon, 29 Mar 2021 16:47:45 GMT", "version": "v3" } ]

2023-01-11

[ [ "Cáceres", "Elena", "" ], [ "Vásquez", "Rodrigo Castillo", "" ], [ "López", "Alejandro Vilar", "" ] ]

We derive the holographic entanglement entropy functional for a generic gravitational theory whose action contains terms up to cubic order in the Riemann tensor, and in any dimension. This is the simplest case for which the so-called splitting problem manifests itself, and we explicitly show that the two common splittings present in the literature - minimal and non-minimal - produce different functionals. We apply our results to the particular examples of a boundary disk and a boundary strip in a state dual to 4-dimensional Poincar\'e AdS in Einsteinian Cubic Gravity, obtaining the bulk entanglement surface for both functionals and finding that causal wedge inclusion is respected for both splittings and a wide range of values of the cubic coupling.

10.567576

10.150614

12.060836

10.218219

12.115133

10.958735

10.538625

9.249258

9.276264

11.821184

10.108697

10.495117

10.676439

10.117356

10.425964

10.665283

10.255817

10.294382

10.417323

10.651513

10.144897

0708.2361

Dmitri Gal'tsov

Adel Bouchareb, Chiang-Mei Chen, Gerard Clement, Dmitri V. Gal'tsov, Nikolai G. Scherbluk and Thomas Wolf

$G_2$ generating technique for minimal D=5 supergravity and black rings

21 pages revtex-4, 1 figure, typo corrected in Eq. (103)

Phys.Rev.D76:104032,2007; Erratum-ibid.D78:029901,2008

10.1103/PhysRevD.76.104032 10.1103/PhysRevD.78.029901

DTP-MSU/07-19, LAPTH-1203/07

hep-th gr-qc

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

A solution generating technique is developed for D=5 minimal supergravity with two commuting Killing vectors based on the $G_2$ U-duality arising in the reduction of the theory to three dimensions. The target space of the corresponding 3-dimensional sigma-model is the coset $G_{2(2)}/(SL(2,R)\times SL(2,R))$. Its isometries constitute the set of solution generating symmetries. These include two electric and two magnetic Harrison transformations with the corresponding two pairs of gauge transformations, three $SL(2,R) S$-duality transformations, and the three gravitational scale, gauge and Ehlers transformations (altogether 14). We construct a representation of the coset in terms of $7\times 7$ matrices realizing the automorphisms of split octonions. Generating a new solution amounts to transforming the coset matrices by one-parametric subgroups of $G_{2(2)}$ and subsequently solving the dualization equations. Using this formalism we derive a new charged black ring solution with two independent parameters of rotation.

[ { "created": "Fri, 17 Aug 2007 13:09:18 GMT", "version": "v1" }, { "created": "Sat, 18 Aug 2007 02:22:52 GMT", "version": "v2" }, { "created": "Sat, 7 Jun 2008 14:49:36 GMT", "version": "v3" } ]

2014-11-18

[ [ "Bouchareb", "Adel", "" ], [ "Chen", "Chiang-Mei", "" ], [ "Clement", "Gerard", "" ], [ "Gal'tsov", "Dmitri V.", "" ], [ "Scherbluk", "Nikolai G.", "" ], [ "Wolf", "Thomas", "" ] ]

A solution generating technique is developed for D=5 minimal supergravity with two commuting Killing vectors based on the $G_2$ U-duality arising in the reduction of the theory to three dimensions. The target space of the corresponding 3-dimensional sigma-model is the coset $G_{2(2)}/(SL(2,R)\times SL(2,R))$. Its isometries constitute the set of solution generating symmetries. These include two electric and two magnetic Harrison transformations with the corresponding two pairs of gauge transformations, three $SL(2,R) S$-duality transformations, and the three gravitational scale, gauge and Ehlers transformations (altogether 14). We construct a representation of the coset in terms of $7\times 7$ matrices realizing the automorphisms of split octonions. Generating a new solution amounts to transforming the coset matrices by one-parametric subgroups of $G_{2(2)}$ and subsequently solving the dualization equations. Using this formalism we derive a new charged black ring solution with two independent parameters of rotation.

9.394222

7.989763

9.74235

7.883787

8.710443

8.255955

9.058937

8.034082

8.420362

9.843287

7.925554

8.218094

9.272816

8.291215

8.293861

8.450474

8.154956

8.045758

8.587399

9.064836

8.430463

hep-th/0611277

Saswat Sarangi

Sash Sarangi, Koenraad Schalm, Gary Shiu, Jan Pieter van der Schaar

Exact spectrum of scalar field perturbations in a radiation deformed closed de Sitter universe

16 pages, 2 figures

JCAP 0703:002,2007

10.1088/1475-7516/2007/03/002

null

hep-th

null

We observe that the equation of motion for a free scalar field in a closed universe with radiation and a positive cosmological constant is given by Lam\'e's equation. Computing the exact power spectrum of scalar field perturbations, the presence of both curvature and radiation produces a red tilt weakly dependent on the amount of radiation.

[ { "created": "Sat, 25 Nov 2006 20:57:40 GMT", "version": "v1" } ]

2010-10-27

[ [ "Sarangi", "Sash", "" ], [ "Schalm", "Koenraad", "" ], [ "Shiu", "Gary", "" ], [ "van der Schaar", "Jan Pieter", "" ] ]

We observe that the equation of motion for a free scalar field in a closed universe with radiation and a positive cosmological constant is given by Lam\'e's equation. Computing the exact power spectrum of scalar field perturbations, the presence of both curvature and radiation produces a red tilt weakly dependent on the amount of radiation.

12.178324

11.072204

10.262381

10.180264

10.168015

9.988012

11.046264

10.017062

11.03815

10.633832

10.877084

10.795313

10.764993

10.278425

9.997607

10.419477

10.598804

10.373779

10.714196

10.521259

11.026769

2106.07651

Xinan Zhou

Double Copy Relation for AdS

6 pages

Phys. Rev. Lett. 127, 141601 (2021)

10.1103/PhysRevLett.127.141601

null

hep-th

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

We present a double copy relation in AdS$_5$ which relates tree-level four-point amplitudes of supergravity, super Yang-Mills and bi-adjoint scalars.

[ { "created": "Mon, 14 Jun 2021 18:00:00 GMT", "version": "v1" } ]

2021-10-04

[ [ "Zhou", "Xinan", "" ] ]

We present a double copy relation in AdS$_5$ which relates tree-level four-point amplitudes of supergravity, super Yang-Mills and bi-adjoint scalars.

9.387465

7.402021

8.757487

5.867348

7.598317

6.112172

5.969923

5.875186

6.294137

8.70253

6.630787

7.238475

8.022631

7.421822

7.254605

7.64905

7.483514

7.33935

8.058343

8.588747

6.793663

hep-th/9401120

Patrick McGraw

A Global Analog of Cheshire Charge

24 pages (figures 1-4 included as uu-encoded tar files), CALT-68-1865 (Revised version: an expression (eq. 17) for global charge density is corrected; some typos and sign mismatches are removed.)

Phys.Rev. D50 (1994) 952-961

10.1103/PhysRevD.50.952

null

hep-th cond-mat

null

It is shown that a model with a spontaneously broken global symmetry can support defects analogous to Alice strings, and a process analogous to Cheshire charge exchange can take place. A possible realization in superfluid He-3 is pointed out.

[ { "created": "Tue, 25 Jan 1994 01:24:23 GMT", "version": "v1" }, { "created": "Mon, 31 Jan 1994 14:42:41 GMT", "version": "v2" } ]

2009-10-28

[ [ "McGraw", "Patrick", "" ] ]

It is shown that a model with a spontaneously broken global symmetry can support defects analogous to Alice strings, and a process analogous to Cheshire charge exchange can take place. A possible realization in superfluid He-3 is pointed out.

17.541494

15.888638

13.897936

13.06373

14.144395

16.209347

14.336673

13.187623

14.548926

14.176861

14.256488

13.087373

13.356267

12.771894

13.180952

13.439671

12.835198

13.182637

12.849133

12.900929

13.818388

2301.05203

Sayantan Choudhury

Entanglement negativity in de Sitter biverse from Stringy Axionic Bell pair: An analysis using Bunch-Davies vacuum

96 pages, 17 figures, Updated version, Typos corrected, Accepted for publication in Fortschritte der Physik - Progress of Physics

Fortschr.Phys. 72 (2024) 1, 2300063

10.1002/prop.202300063

null

hep-th gr-qc hep-ph quant-ph

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

In this work, we study the signatures of quantum entanglement by computing entanglement negativity between two causally unrelated regions in $3+1$ dimensional global de Sitter space. We investigate a bipartite quantum field theoretic setup for this purpose, driven by an axionic Bell pair resulting from Type IIB string compactification on a Calabi-Yau three fold. We take into account a spherical surface that divides the spatial slice of the global de Sitter space into exterior and interior causally unrelated sub regions. For the computational purpose we use the simplest possible initial choice of quantum vacuum, which is Bunch-Davies state. The quantitative quantum information theoretic measure for entanglement negativity turns out be consistent with the results obtained for entanglement entropy, even we have to say it is better than that from quantum information theoretic point of view. We design the problem in a hyperbolic open chart where one of the causally unrelated observers remains constrained and the scale dependence enters to the corresponding quantum information theoretic entanglement measure for axionic Bell pair.We find from our analysis that in the large scales initially maximally entangled Bunch-Davies state turns out to be strongly entangled or weakly entangled depending on the axionic decay constant and the supersymmetry breaking scale. We also find that at the small scales the initial entanglement can be perfectly recovered.We also discuss the possibility of having a biverse picture, which is a mini version of the multiverse in the present theoretical set up. Last but not the least, we provide the necessary criteria for generating non vanishing quantum entanglement measures within the framework of quantum field theory of global de Sitter space as well as well as in primordial cosmology due to the axion derived from string theory.

[ { "created": "Sat, 31 Dec 2022 14:29:15 GMT", "version": "v1" }, { "created": "Sat, 14 Jan 2023 10:44:03 GMT", "version": "v2" }, { "created": "Tue, 9 Jan 2024 09:36:36 GMT", "version": "v3" } ]

2024-01-10

[ [ "Choudhury", "Sayantan", "" ] ]

In this work, we study the signatures of quantum entanglement by computing entanglement negativity between two causally unrelated regions in $3+1$ dimensional global de Sitter space. We investigate a bipartite quantum field theoretic setup for this purpose, driven by an axionic Bell pair resulting from Type IIB string compactification on a Calabi-Yau three fold. We take into account a spherical surface that divides the spatial slice of the global de Sitter space into exterior and interior causally unrelated sub regions. For the computational purpose we use the simplest possible initial choice of quantum vacuum, which is Bunch-Davies state. The quantitative quantum information theoretic measure for entanglement negativity turns out be consistent with the results obtained for entanglement entropy, even we have to say it is better than that from quantum information theoretic point of view. We design the problem in a hyperbolic open chart where one of the causally unrelated observers remains constrained and the scale dependence enters to the corresponding quantum information theoretic entanglement measure for axionic Bell pair.We find from our analysis that in the large scales initially maximally entangled Bunch-Davies state turns out to be strongly entangled or weakly entangled depending on the axionic decay constant and the supersymmetry breaking scale. We also find that at the small scales the initial entanglement can be perfectly recovered.We also discuss the possibility of having a biverse picture, which is a mini version of the multiverse in the present theoretical set up. Last but not the least, we provide the necessary criteria for generating non vanishing quantum entanglement measures within the framework of quantum field theory of global de Sitter space as well as well as in primordial cosmology due to the axion derived from string theory.

11.978921

12.129754

12.164062

11.662477

13.105205

12.414977

12.770663

12.283773

11.87455

13.268196

11.655866

11.99982

11.678517

12.044176

11.93444

11.857183

11.76475

11.902193

12.076467

12.07864

11.688833

0809.4548

Yuji Satoh

Kazuhiro Sakai, Yuji Satoh

Entanglement through conformal interfaces

14 pages, no figures; (v2) a reference added, minor changes; (v3) results and comments on special cases added

JHEP0812:001,2008

10.1088/1126-6708/2008/12/001

UTHEP-570

hep-th cond-mat.str-el quant-ph

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

We consider entanglement through permeable interfaces in the c=1 (1+1)-dimensional conformal field theory. We compute the partition functions with the interfaces inserted. By the replica trick, the entanglement entropy is obtained analytically. The entropy scales logarithmically with respect to the size of the system, similarly to the universal scaling of the ordinary entanglement entropy in (1+1)-dimensional conformal field theory. Its coefficient, however, is not constant but controlled by the permeability, the dependence on which is expressed through the dilogarithm function. The sub-leading term of the entropy counts the winding numbers, showing an analogy to the topological entanglement entropy which characterizes the topological order in (2+1)-dimensional systems.

[ { "created": "Fri, 26 Sep 2008 07:36:06 GMT", "version": "v1" }, { "created": "Tue, 7 Oct 2008 02:14:26 GMT", "version": "v2" }, { "created": "Mon, 17 Nov 2008 10:56:56 GMT", "version": "v3" } ]

2008-12-18

[ [ "Sakai", "Kazuhiro", "" ], [ "Satoh", "Yuji", "" ] ]

We consider entanglement through permeable interfaces in the c=1 (1+1)-dimensional conformal field theory. We compute the partition functions with the interfaces inserted. By the replica trick, the entanglement entropy is obtained analytically. The entropy scales logarithmically with respect to the size of the system, similarly to the universal scaling of the ordinary entanglement entropy in (1+1)-dimensional conformal field theory. Its coefficient, however, is not constant but controlled by the permeability, the dependence on which is expressed through the dilogarithm function. The sub-leading term of the entropy counts the winding numbers, showing an analogy to the topological entanglement entropy which characterizes the topological order in (2+1)-dimensional systems.

6.280404

6.338408

6.483204

5.639304

6.125211

6.35056

5.789423

5.740538

5.597705

6.825005

6.030525

5.723923

6.394979

5.936697

5.827043

5.874553

5.835206

5.902932

5.866597

6.195692

5.864816

1908.06036

Eric R. Sharpe

W. Gu, J. Guo, E. Sharpe

A proposal for nonabelian (0,2) mirrors

LaTeX, 36 pages; v2: references added; v3: introductory material added

Adv. Theor. Math. Phys. 25 (2021) 1549-1596

10.4310/ATMP.2021.v25.n6.a4

null

hep-th

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

In this paper we give a proposal for mirrors to (0,2) supersymmetric gauged linear sigma models (GLSMs), for those (0,2) GLSMs which are deformations of (2,2) GLSMs. Specifically, we propose a construction of (0,2) mirrors for (0,2) GLSMs with E terms that are linear and diagonal, reducing to both the Hori-Vafa prescription as well as a recent (2,2) nonabelian mirrors proposal on the (2,2) locus. For the special case of abelian (0,2) GLSMs, two of the authors have previously proposed a systematic construction, which is both simplified and generalized by the proposal here.

[ { "created": "Fri, 16 Aug 2019 15:42:28 GMT", "version": "v1" }, { "created": "Sun, 25 Aug 2019 01:57:01 GMT", "version": "v2" }, { "created": "Tue, 14 Sep 2021 19:59:00 GMT", "version": "v3" } ]

2022-06-28

[ [ "Gu", "W.", "" ], [ "Guo", "J.", "" ], [ "Sharpe", "E.", "" ] ]

In this paper we give a proposal for mirrors to (0,2) supersymmetric gauged linear sigma models (GLSMs), for those (0,2) GLSMs which are deformations of (2,2) GLSMs. Specifically, we propose a construction of (0,2) mirrors for (0,2) GLSMs with E terms that are linear and diagonal, reducing to both the Hori-Vafa prescription as well as a recent (2,2) nonabelian mirrors proposal on the (2,2) locus. For the special case of abelian (0,2) GLSMs, two of the authors have previously proposed a systematic construction, which is both simplified and generalized by the proposal here.

6.112782

6.060915

7.43307

5.859532

6.101309

6.043382

6.016202

5.846832

5.928797

7.755822

6.233264

5.931247

6.674533

5.868945

5.939276

5.795812

5.855443

5.963267

5.78417

6.409527

5.842379

hep-th/9307027

null

B. de Wit, M.T. Grisaru, and P. van Nieuwenhuizen

The WZNW Model at Two Loops

40 pages, Latex, (4 postscript figures at end of file, to be split off into files called diag1.ps,...,diag4.ps),THU-93/15

Nucl.Phys. B408 (1993) 299-344

10.1016/0550-3213(93)90537-Y

null

hep-th

null

We study perturbatively the (conformal) WZNW model. At one loop we compute one-particle irreducible two- and three-point current correlation functions, both in the conventional version and in the classically equivalent, chiral, nonlocal, induced version of the model. At two loops we compute the two-point function and find that it vanishes (modulo infrared-induced logarithms). We use dimensional regularization and the $R^*$ operation for removing infrared divergences. The outcome of the calculations is insensitive to the treatment of the $\varepsilon^{\m\n}$ tensor as a two-dimensional or $d$-dimensional object. Our results indicate that the one-particle irreducible current correlation functions constitute an effective action equal to the original WZNW action with the familiar level shift, $k\to k+\tilde h$.

[ { "created": "Mon, 5 Jul 1993 14:40:00 GMT", "version": "v1" } ]

2009-10-22

[ [ "de Wit", "B.", "" ], [ "Grisaru", "M. T.", "" ], [ "van Nieuwenhuizen", "P.", "" ] ]

We study perturbatively the (conformal) WZNW model. At one loop we compute one-particle irreducible two- and three-point current correlation functions, both in the conventional version and in the classically equivalent, chiral, nonlocal, induced version of the model. At two loops we compute the two-point function and find that it vanishes (modulo infrared-induced logarithms). We use dimensional regularization and the $R^*$ operation for removing infrared divergences. The outcome of the calculations is insensitive to the treatment of the $\varepsilon^{\m\n}$ tensor as a two-dimensional or $d$-dimensional object. Our results indicate that the one-particle irreducible current correlation functions constitute an effective action equal to the original WZNW action with the familiar level shift, $k\to k+\tilde h$.

10.117629

10.051174

10.57737

10.055373

10.22466

9.555678

10.592286

10.073487

9.821775

11.49519

10.297131

9.919807

10.503431

10.073347

10.282825

9.765975

10.008883

9.836652

10.098843

10.108908

9.847979

1212.5831

Dariush Kaviani

Spinflation with backreaction

28 pages, 5 figures

International Journal of Modern Physics D Vol. 22, No. 9 (2013) 1350062

10.1142/S0218271813500624

IPPP/12/95, DCPT/12/190

hep-th

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

We study brane inflation in flux compactifications at the nonlinear level, solving the D3-brane DBI-equations of motion including backreaction from the D3-D7 brane potential and from perturbations of the warp factor. We first numerically compute the exact functional form of the Kaehler modulus valid on the entire supergravity background and obtain a two-field potential along radial and harmonic directions. We find that a valid perturbative expansion on the entire supergravity background with the Kaehler modulus integrated out adiabatically in DBI inflation requires hierarchies of scales that determine compactification parameters different from those typical in slow-roll models. Our numerical results then show that the DBI inflationary solutions are quite robust against these nonlinear corrections.

[ { "created": "Sun, 23 Dec 2012 20:06:40 GMT", "version": "v1" } ]

2013-06-12

[ [ "Kaviani", "Dariush", "" ] ]

We study brane inflation in flux compactifications at the nonlinear level, solving the D3-brane DBI-equations of motion including backreaction from the D3-D7 brane potential and from perturbations of the warp factor. We first numerically compute the exact functional form of the Kaehler modulus valid on the entire supergravity background and obtain a two-field potential along radial and harmonic directions. We find that a valid perturbative expansion on the entire supergravity background with the Kaehler modulus integrated out adiabatically in DBI inflation requires hierarchies of scales that determine compactification parameters different from those typical in slow-roll models. Our numerical results then show that the DBI inflationary solutions are quite robust against these nonlinear corrections.

15.126823

17.287127

16.645212

14.113276

15.801229

16.623343

16.447184

15.017692

15.554925

18.187576

15.196415

14.899101

15.632558

15.037435

15.109259

15.17582

15.211836

14.629752

14.731515

15.258947

14.406563

1612.01151

Roman Zwicky

Vladimir Prochazka and Roman Zwicky

${\cal N}$ = $1$ Euler Anomaly from RG-dependent metric-Background

Proceedings for Confinement and Hadron Spectroscopy 2016, 6 pages

EPJ Web Conf. Volume 137, 2017

10.1051/epjconf/201713710009

CP3-Origins-2016-053 DNRF90

hep-th hep-ph

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

We consider ${\cal N}=1$ supersymmetric gauge theories in the conformal window. By applying a suitable matter superfield rescaling and a Weyl-transformation the renormalisation group running (matter and gauge field $Z$-factors) are absorbed into the metric. The latter becomes a function of the $Z$-factors. The Euler flow $\Delta a \equiv a_{\rm UV} - a_{\rm IR} |_{{\cal N}=1}$ is then obtained by free field theory computation with the non-trivial dynamics coming from expanding the Euler invariant in the flow dependent metric. The result is therefore directly obtained in terms of the infrared anomalous dimension confirming an earlier result using the matching of conserved currents.

[ { "created": "Sun, 4 Dec 2016 17:52:21 GMT", "version": "v1" } ]

2017-03-27

[ [ "Prochazka", "Vladimir", "" ], [ "Zwicky", "Roman", "" ] ]

We consider ${\cal N}=1$ supersymmetric gauge theories in the conformal window. By applying a suitable matter superfield rescaling and a Weyl-transformation the renormalisation group running (matter and gauge field $Z$-factors) are absorbed into the metric. The latter becomes a function of the $Z$-factors. The Euler flow $\Delta a \equiv a_{\rm UV} - a_{\rm IR} |_{{\cal N}=1}$ is then obtained by free field theory computation with the non-trivial dynamics coming from expanding the Euler invariant in the flow dependent metric. The result is therefore directly obtained in terms of the infrared anomalous dimension confirming an earlier result using the matching of conserved currents.

14.022447

13.13943

14.150761

12.607481

14.020675

13.270679

12.676297

12.829642

13.127769

16.409441

12.465128

12.67391

13.88692

13.283939

13.770972

13.242767

13.265889

13.483962

12.84374

13.814666

13.070974

hep-th/0110022

Tony Gherghetta

Tony Gherghetta, Antonio Riotto

Gravity-Mediated Supersymmetry Breaking in the Brane World

29 pages, 2 figures, LaTeX; v2: references added

Nucl.Phys. B623 (2002) 97-125

10.1016/S0550-3213(01)00637-X

UNIL-IPT-01-15

hep-th hep-ph

null

We study the transmission of supersymmetry breaking via gravitational interactions in a five-dimensional brane-world compactified on $S^1/Z_2$. We assume that chiral matter and gauge fields are confined at the orbifold fixed points, where supersymmetry is spontaneously broken by effective brane superpotentials. Using an off-shell supergravity multiplet we integrate out the auxiliary fields and examine the couplings between the bulk supergravity fields and boundary matter fields. The corresponding tree-level shift in the bulk gravitino mass spectrum induces one-loop radiative masses for the boundary fields. We calculate the boundary gaugino and scalar masses for arbitrary values of the brane superpotentials, and show that the mass spectrum reduces to the Scherk-Schwarz limit for arbitrarily large values of the brane superpotentials.

[ { "created": "Tue, 2 Oct 2001 13:02:51 GMT", "version": "v1" }, { "created": "Fri, 4 Jan 2002 18:14:06 GMT", "version": "v2" } ]

2009-11-07

[ [ "Gherghetta", "Tony", "" ], [ "Riotto", "Antonio", "" ] ]

We study the transmission of supersymmetry breaking via gravitational interactions in a five-dimensional brane-world compactified on $S^1/Z_2$. We assume that chiral matter and gauge fields are confined at the orbifold fixed points, where supersymmetry is spontaneously broken by effective brane superpotentials. Using an off-shell supergravity multiplet we integrate out the auxiliary fields and examine the couplings between the bulk supergravity fields and boundary matter fields. The corresponding tree-level shift in the bulk gravitino mass spectrum induces one-loop radiative masses for the boundary fields. We calculate the boundary gaugino and scalar masses for arbitrary values of the brane superpotentials, and show that the mass spectrum reduces to the Scherk-Schwarz limit for arbitrarily large values of the brane superpotentials.

6.18802

6.438155

6.592588

6.020109

6.020303

6.764233

6.524476

6.097896

5.843657

6.594935

6.235746

6.024837

6.322328

6.122274

6.236779

6.234558

6.015116

6.413462

5.988116

6.090938

6.344155

2209.11619

Keiichi Nagao

Keiichi Nagao, Holger Bech Nielsen

Automatic hermiticity for mixed states

Latex 14 pages, typos corrected, presentation improved, the final version to appear in Prog.Theor.Exp.Phys

Prog. Theor. Exp. Phys. (2023) 031B01

10.1093/ptep/ptad025

null

hep-th quant-ph

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

We previously proposed a mechanism to effectively obtain, after a long time development, a Hamiltonian being Hermitian with regard to a modified inner product $I_Q$ that makes a given non-normal Hamiltonian normal by using an appropriately chosen Hermitian operator $Q$. We studied it for pure states. In this letter we show that a similar mechanism also works for mixed states by introducing density matrices to describe them and investigating their properties explicitly both in the future-not-included and future-included theories. In particular, in the latter, where not only a past state at the initial time $T_A$ but also a future state at the final time $T_B$ is given, we study a couple of candidates for it, and introduce a ``skew density matrix'' composed of both ensembles of the future and past states such that the trace of the product of it and an operator ${\cal O}$ matches a normalized matrix element of ${\cal O}$. We argue that the skew density matrix defined with $I_Q$ at the present time $t$ for large $T_B-t$ and large $t-T_A$ approximately corresponds to another density matrix composed of only an ensemble of past states and defined with another inner product $I_{Q_J}$ for large $t-T_A$.

[ { "created": "Fri, 23 Sep 2022 14:40:50 GMT", "version": "v1" }, { "created": "Thu, 23 Mar 2023 12:35:51 GMT", "version": "v2" } ]

2023-03-24

[ [ "Nagao", "Keiichi", "" ], [ "Nielsen", "Holger Bech", "" ] ]

We previously proposed a mechanism to effectively obtain, after a long time development, a Hamiltonian being Hermitian with regard to a modified inner product $I_Q$ that makes a given non-normal Hamiltonian normal by using an appropriately chosen Hermitian operator $Q$. We studied it for pure states. In this letter we show that a similar mechanism also works for mixed states by introducing density matrices to describe them and investigating their properties explicitly both in the future-not-included and future-included theories. In particular, in the latter, where not only a past state at the initial time $T_A$ but also a future state at the final time $T_B$ is given, we study a couple of candidates for it, and introduce a ``skew density matrix'' composed of both ensembles of the future and past states such that the trace of the product of it and an operator ${\cal O}$ matches a normalized matrix element of ${\cal O}$. We argue that the skew density matrix defined with $I_Q$ at the present time $t$ for large $T_B-t$ and large $t-T_A$ approximately corresponds to another density matrix composed of only an ensemble of past states and defined with another inner product $I_{Q_J}$ for large $t-T_A$.

11.273251

12.088415

11.452353

10.758249

12.019681

12.612138

12.940466

11.211919

10.989614

12.166136

11.092287

10.617697

10.855358

10.562544

10.921617

11.07332

10.745688

10.660542

10.515992

10.493644

10.434126

1412.4654

Francisco Navarro-Lerida

Francisco Navarro-Lerida and D. H. Tchrakian

Electrically charged finite energy solutions of an $SO(5)$ and an $SU(3)$ Higgs-Chern-Simons--Yang-Mills-Higgs systems in $3+1$ dimensions

20 pages, 10 figures

Int. J. Mod. Phys. A 30, 1550079 (2015)

10.1142/S0217751X15500797

Preprint Number STP-DIAS-2014-13

hep-th gr-qc

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

We study spherically symmetric finite energy solutions of two Higgs-Chern-Simons--Yang-Mills-Higgs (HCS-YMH) models in $3+1$ dimensions, one with gauge group $SO(5)$ and the other with $SU(3)$. The Chern-Simons (CS) densities are defined in terms of both the Yang-Mills (YM) and Higgs fields and the choice of the two gauge groups is made so they do not vanish. The solutions of the $SO(5)$ model carry only electric charge and zero magnetic charge, while the solutions of the $SU(3)$ model are dyons carrying both electric and magnetic charges like the Julia-Zee (JZ) dyon. Unlike the latter however, the electric charge in both models receives an important contribution from the CS dynamics. We pay special attention to the relation between the energies and charges of these solutions. In contrast with the electrically charged JZ dyon of the Yang-Mills-Higgs (YMH) system, whose mass is larger than that of the electrically neutral (magnetic monopole) solutions, the masses of the electrically charged solutions of our HCS-YMH models can be smaller than their electrically neutral counterparts in some parts of the parameter space. To establish this is the main task of this work, which is performed by constructing the HCS-YMH solutions numerically. In the case of the $SU(3)$ HCS-YMH, we have considered the question of angular momentum, and it turns out that it vanishes.

[ { "created": "Mon, 15 Dec 2014 16:09:48 GMT", "version": "v1" } ]

2015-10-02

[ [ "Navarro-Lerida", "Francisco", "" ], [ "Tchrakian", "D. H.", "" ] ]

We study spherically symmetric finite energy solutions of two Higgs-Chern-Simons--Yang-Mills-Higgs (HCS-YMH) models in $3+1$ dimensions, one with gauge group $SO(5)$ and the other with $SU(3)$. The Chern-Simons (CS) densities are defined in terms of both the Yang-Mills (YM) and Higgs fields and the choice of the two gauge groups is made so they do not vanish. The solutions of the $SO(5)$ model carry only electric charge and zero magnetic charge, while the solutions of the $SU(3)$ model are dyons carrying both electric and magnetic charges like the Julia-Zee (JZ) dyon. Unlike the latter however, the electric charge in both models receives an important contribution from the CS dynamics. We pay special attention to the relation between the energies and charges of these solutions. In contrast with the electrically charged JZ dyon of the Yang-Mills-Higgs (YMH) system, whose mass is larger than that of the electrically neutral (magnetic monopole) solutions, the masses of the electrically charged solutions of our HCS-YMH models can be smaller than their electrically neutral counterparts in some parts of the parameter space. To establish this is the main task of this work, which is performed by constructing the HCS-YMH solutions numerically. In the case of the $SU(3)$ HCS-YMH, we have considered the question of angular momentum, and it turns out that it vanishes.

5.437335

5.39134

5.156882

4.977663

5.389379

5.358175

5.627329

5.216587

5.141503

5.579859

5.066052

4.999597

5.092464

4.966455

5.139329

5.008628

5.084692

5.032016

5.019566

5.034818

4.940659

1101.5552

Sarah Folkerts

Sarah Folkerts, Daniel F. Litim, Jan M. Pawlowski

Asymptotic freedom of Yang-Mills theory with gravity

16 pages, 2 figures; v2: explanations added to match published version

null

10.1016/j.physletb.2012.02.002

null

hep-th gr-qc hep-ph

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

We study the behaviour of Yang-Mills theory under the inclusion of gravity. In the weak- gravity limit, the running gauge coupling receives no contribution from the gravitational sector, if all symmetries are preserved. This holds true with and without cosmological constant. We also show that asymptotic freedom persists in general field-theory-based gravity scenarios including gravitational shielding as well as asymptotically safe gravity.

[ { "created": "Fri, 28 Jan 2011 15:19:08 GMT", "version": "v1" }, { "created": "Mon, 5 Mar 2012 20:39:24 GMT", "version": "v2" } ]

2015-05-27

[ [ "Folkerts", "Sarah", "" ], [ "Litim", "Daniel F.", "" ], [ "Pawlowski", "Jan M.", "" ] ]

We study the behaviour of Yang-Mills theory under the inclusion of gravity. In the weak- gravity limit, the running gauge coupling receives no contribution from the gravitational sector, if all symmetries are preserved. This holds true with and without cosmological constant. We also show that asymptotic freedom persists in general field-theory-based gravity scenarios including gravitational shielding as well as asymptotically safe gravity.

15.918281

15.055723

14.915166

14.742235

15.326751

15.514658

15.368624

14.510159

13.355525

16.943108

13.544708

14.006094

14.883372

14.315419

14.245302

14.269971

14.676938

14.438201

14.449345

14.729057

14.2953

2311.09125

Vahid Taghiloo

V. Taghiloo and M. H. Vahidinia

Fluid/p-form duality

7 pages

null

hep-th physics.flu-dyn

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

In this study, we demonstrate that an inviscid fluid in a near-equilibrium state, when viewed in the Lagrangian picture in d+1 spacetime dimensions, can be reformulated as a (d-1)-form gauge theory. We construct a fluid/p-form dictionary and show that volume-preserving diffeomorphisms on the fluid side manifest as a U(1) gauge symmetry on the {(p+1)-form} gauge theory side. {Intriguingly, Kelvin's circulation theorem and the mass continuity equation respectively appear as the Gauss law and the Bianchi identity on the gauge theory side.} Furthermore, we show that at the level of the sources, the vortices in the fluid side correspond to the p-branes in the gauge theory side. We also consider fluid mechanics in the presence of boundaries and examine the boundary symmetries and corresponding charges from both the fluid and gauge theory perspectives.

[ { "created": "Wed, 15 Nov 2023 17:13:01 GMT", "version": "v1" } ]

2023-11-16

[ [ "Taghiloo", "V.", "" ], [ "Vahidinia", "M. H.", "" ] ]

In this study, we demonstrate that an inviscid fluid in a near-equilibrium state, when viewed in the Lagrangian picture in d+1 spacetime dimensions, can be reformulated as a (d-1)-form gauge theory. We construct a fluid/p-form dictionary and show that volume-preserving diffeomorphisms on the fluid side manifest as a U(1) gauge symmetry on the {(p+1)-form} gauge theory side. {Intriguingly, Kelvin's circulation theorem and the mass continuity equation respectively appear as the Gauss law and the Bianchi identity on the gauge theory side.} Furthermore, we show that at the level of the sources, the vortices in the fluid side correspond to the p-branes in the gauge theory side. We also consider fluid mechanics in the presence of boundaries and examine the boundary symmetries and corresponding charges from both the fluid and gauge theory perspectives.

7.567015

6.797389

8.147723

6.685535

6.770191

7.087318

6.925376

6.720489

7.124614

8.411426

7.062868

6.908541

7.503286

7.051935

6.94467

6.793755

6.90226

6.969127

6.78162

7.314476

6.976941

hep-th/9708117

null

Kenneth Intriligator

New String Theories in Six Dimensions via Branes at Orbifold Singularities

11 pages, harvmac. Added footnote on E_8 5-branes at D_n singularities

Adv.Theor.Math.Phys.1:271-282,1998

null

IASSNS-HEP-97/95, UCSD/PTH-22

hep-th

null

We present several classes of new 6d string theories which arise via branes at orbifold singularities. They have compact moduli spaces, associated with tensor multiplets, given by Weyl alcoves of non-Abelian groups. We discuss T-duality and Matrix model applications upon compactification.

[ { "created": "Thu, 21 Aug 1997 23:58:38 GMT", "version": "v1" }, { "created": "Fri, 22 Aug 1997 03:16:49 GMT", "version": "v2" }, { "created": "Wed, 3 Sep 1997 23:04:29 GMT", "version": "v3" } ]

2014-11-18

[ [ "Intriligator", "Kenneth", "" ] ]

We present several classes of new 6d string theories which arise via branes at orbifold singularities. They have compact moduli spaces, associated with tensor multiplets, given by Weyl alcoves of non-Abelian groups. We discuss T-duality and Matrix model applications upon compactification.

20.630112

21.934988

22.475033

18.63863

22.746881

23.674883

21.737484

21.492741

19.961681

26.516981

21.347589

19.15583

19.993025

18.096184

18.605814

18.953506

17.62694

18.822014

17.507858

18.963478

18.915058

1005.2488

Claude Warnick

G. W. Gibbons, C. M. Warnick, W. W. Wong

Non-existence of Skyrmion-Skyrmion and Skyrmion-anti-Skyrmion static equilibria

v2 Typos corrected, refs added. v3 Journal version

J. Math. Phys. 52:012905,2011

10.1063/1.3523469

DAMTP-2010-40

hep-th math-ph math.MP

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

We consider classical static Skyrmion-anti-Skyrmion and Skyrmion-Skyrmion configurations, symmetric with respect to a reflection plane, or symmetric up to a $G$-parity transformation respectively. We show that the stress tensor component completely normal to the reflection plane, and hence its integral over the plane, is negative definite or positive definite respectively. Classical Skyrmions always repel classical Skyrmions and classical Skyrmions always attract classical anti-Skyrmions and thus no static equilibrium, whether stable or unstable, is possible in either case. No other symmetry assumption is made and so our results also apply to multi-Skyrmion configurations. Our results are consistent with existing analyses of Skyrmion forces at large separation, and with numerical results on Skymion-anti-Skyrmion configurations in the literature which admit a different reflection symmetry. They also hold for the massive Skyrme model. We also point out that reflection symmetric self-gravitating Skyrmions or black holes with Skyrmion hair cannot rest in symmetric equilibrium with self-gravitating anti-Skyrmions.

[ { "created": "Fri, 14 May 2010 09:48:42 GMT", "version": "v1" }, { "created": "Tue, 18 May 2010 09:44:41 GMT", "version": "v2" }, { "created": "Wed, 25 Aug 2010 08:30:39 GMT", "version": "v3" }, { "created": "Tue, 29 Mar 2011 12:35:45 GMT", "version": "v4" } ]

2011-04-06

[ [ "Gibbons", "G. W.", "" ], [ "Warnick", "C. M.", "" ], [ "Wong", "W. W.", "" ] ]

We consider classical static Skyrmion-anti-Skyrmion and Skyrmion-Skyrmion configurations, symmetric with respect to a reflection plane, or symmetric up to a $G$-parity transformation respectively. We show that the stress tensor component completely normal to the reflection plane, and hence its integral over the plane, is negative definite or positive definite respectively. Classical Skyrmions always repel classical Skyrmions and classical Skyrmions always attract classical anti-Skyrmions and thus no static equilibrium, whether stable or unstable, is possible in either case. No other symmetry assumption is made and so our results also apply to multi-Skyrmion configurations. Our results are consistent with existing analyses of Skyrmion forces at large separation, and with numerical results on Skymion-anti-Skyrmion configurations in the literature which admit a different reflection symmetry. They also hold for the massive Skyrme model. We also point out that reflection symmetric self-gravitating Skyrmions or black holes with Skyrmion hair cannot rest in symmetric equilibrium with self-gravitating anti-Skyrmions.

9.019854

9.90073

8.784356

8.792362

10.49956

9.912516

10.676681

9.433107

9.054626

9.520329

9.303958

8.929555

8.745543

8.537252

8.734539

8.561873

9.014782

8.879002

8.661405

9.108839

8.763018

hep-th/0201097

Austin Pickering

Austin G. M. Pickering

Lorentz Violation at One Loop

10 pages, 28 figures, latex, uses sprocl.sty (included), talk presented at the Second Meeting on CPT and Lorentz Symmetry, Bloomington, IN, August 2001

null

10.1142/9789812778123_0015

IUHET 447

hep-th

null

The proof of one-loop renormalizability of the general Lorentz- and CPT-violating extension of quantum electrodynamics is described. Application of the renormalization-group method is discussed and implications for theory and experiment are considered.

[ { "created": "Tue, 15 Jan 2002 02:54:31 GMT", "version": "v1" } ]

2017-08-23

[ [ "Pickering", "Austin G. M.", "" ] ]

The proof of one-loop renormalizability of the general Lorentz- and CPT-violating extension of quantum electrodynamics is described. Application of the renormalization-group method is discussed and implications for theory and experiment are considered.

8.162157

6.839948

5.973659

6.003802

7.117337

6.8838

5.950572

6.480775

5.682022

7.269187

6.237514

6.709839

6.724186

6.538892

7.013457

6.998947

6.650351

7.434029

6.217508

6.669172

7.014403

hep-th/9806098

Minoru Hirayama

M. Hirayama(Toyama U.), M. Kanno(Toyama U.), M. Ueno(Toyama U.) and H. Yamakoshi(Toyama-NCT)

Non-Abelian Stokes Theorem for Loop Variables Associated with Nontrivial Loops

18 pages,10 Postscript figures, PTP Tex, Journal-ref added

Prog.Theor.Phys.100:817-830,1998

10.1143/PTP.100.817

Toyama 100

hep-th

null

The non-Abelian Stokes theorem for loop variables associated with nontrivial loops (knots and links) is derived. It is shown that a loop variable is in general different from unity even if the field strength vanishes everywhere on the surface surrounded by the loop.

[ { "created": "Fri, 12 Jun 1998 10:23:25 GMT", "version": "v1" }, { "created": "Wed, 16 Sep 1998 08:12:26 GMT", "version": "v2" }, { "created": "Thu, 24 Dec 1998 06:54:10 GMT", "version": "v3" } ]

2014-11-18

[ [ "Hirayama", "M.", "", "Toyama U." ], [ "Kanno", "M.", "", "Toyama U." ], [ "Ueno", "M.", "", "Toyama U." ], [ "Yamakoshi", "H.", "", "Toyama-NCT" ] ]

The non-Abelian Stokes theorem for loop variables associated with nontrivial loops (knots and links) is derived. It is shown that a loop variable is in general different from unity even if the field strength vanishes everywhere on the surface surrounded by the loop.

9.839135

7.271723

9.781498

8.108452

7.204205

6.92062

8.445926

6.731117

7.622637

10.917675

7.942471

7.83886

8.99104

8.209023

8.035489

7.728605

7.89053

8.288975

7.788237

8.796713

7.720464

hep-th/0310191

Ricardo Vazquez

C. Fosco (1), J. Sanchez-Guillen (2), and R.A. Vazquez (2) ((1) Centro Atomico de Bariloche, (2) Dept. Fisica de Particulas, Universidade de Santiago de Compostela)

Tests and applications of Migdal's particle path-integral representation for the Dirac Propagator

11 pages. Improved version with typos corrected and shortened in one section on alternative approaches. Accepted for publication in PRD

Phys.Rev. D69 (2004) 105022

10.1103/PhysRevD.69.105022

null

hep-th

null

We derive some non-perturbative results in 1+1 and 2+1 dimensions within the context of the particle path-integral representation for a Dirac field propagator in the presence of an external field, in a formulation introduced by Migdal in 1986. We consider the specific properties of the path-integral expressions corresponding to the 1+1 and 2+1 dimensional cases, presenting a derivation of the chiral anomaly in the former and of the Chern-Simons current in the latter. We also discuss particle propagation in constant electromagnetic field backgrounds.

[ { "created": "Mon, 20 Oct 2003 17:56:43 GMT", "version": "v1" }, { "created": "Fri, 31 Oct 2003 15:01:02 GMT", "version": "v2" }, { "created": "Sat, 13 Mar 2004 12:07:47 GMT", "version": "v3" } ]

2009-11-10

[ [ "Fosco", "C.", "" ], [ "Sanchez-Guillen", "J.", "" ], [ "Vazquez", "R. A.", "" ] ]

We derive some non-perturbative results in 1+1 and 2+1 dimensions within the context of the particle path-integral representation for a Dirac field propagator in the presence of an external field, in a formulation introduced by Migdal in 1986. We consider the specific properties of the path-integral expressions corresponding to the 1+1 and 2+1 dimensional cases, presenting a derivation of the chiral anomaly in the former and of the Chern-Simons current in the latter. We also discuss particle propagation in constant electromagnetic field backgrounds.

7.649296

7.173919

8.305507

7.277143

7.735025

7.607272

7.877882

7.278953

7.451399

8.108266

7.018121

7.099221

7.559729

7.124501

7.224035

7.193897

7.156935

7.300497

7.069011

7.557326

6.961818

1111.7307

Lihui Liu

Lihui Liu and Herve Partouche

Moduli stabilization in type II Calabi-Yau compactifications at finite temperature

59 pages, comments added in the introduction on how moduli stabilization by thermal effects in the early universe is related to late time moduli stabilization by non-thermal effects

null

10.1007/JHEP11(2012)079

CPHT-RR098.1111

hep-th

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

We consider the type II superstring compactified on Calabi-Yau threefolds at finite temperature. The latter is implemented at the string level by a free action on the Euclidean time circle. We show that all Kahler and complex structure moduli involved in the gauge theories geometrically engineered in the vicinity of singular loci are lifted by the stringy thermal effective potential. The analysis is based on the effective gauged supergravity at low energy, without integrating out the BPS states becoming massless at the singular loci. The universal form of the action in the weak coupling regime at low enough temperature is determined in two cases. Namely the conifold locus, as well as a locus where the internal space develops a genus-g curve of A{N-1} singularities, realizing an SU(N) gauge theory coupled to g hypermultiplets in the adjoint. In general, the favored points of stabilization sit at the intersection of several singular loci. Thus the entire vector multiplet moduli space can be lifted, together with hypermultiplet moduli. The scalars are dynamically stabilized during the cosmological evolution induced by the back-reaction of the thermal effective potential. When the universe expands and the temperature T drops, the scalars converge to minima, with damped oscillations. Moreover, they store an energy density that scales as T^4, which never dominates over radiation. The reason for this is that the mass they acquire at one-loop is of order the temperature scale, which is time-dependent. As an example we analyze the type IIA compactification on a Calabi-Yau space with Hodge numbers h{11}=2 and h{12}=128. In this case, both Kahler moduli are stabilized, where the internal space develops a node and an enhanced SU(2) gauge theory coupled to 2 adjoint hypermultiplets. This shows that in the dual thermal heterotic picture on K3xT^2, the torus modulus and the axio-dilaton are stabilized.

[ { "created": "Wed, 30 Nov 2011 20:34:20 GMT", "version": "v1" }, { "created": "Thu, 25 Oct 2012 22:10:56 GMT", "version": "v2" } ]

2015-06-03

[ [ "Liu", "Lihui", "" ], [ "Partouche", "Herve", "" ] ]

We consider the type II superstring compactified on Calabi-Yau threefolds at finite temperature. The latter is implemented at the string level by a free action on the Euclidean time circle. We show that all Kahler and complex structure moduli involved in the gauge theories geometrically engineered in the vicinity of singular loci are lifted by the stringy thermal effective potential. The analysis is based on the effective gauged supergravity at low energy, without integrating out the BPS states becoming massless at the singular loci. The universal form of the action in the weak coupling regime at low enough temperature is determined in two cases. Namely the conifold locus, as well as a locus where the internal space develops a genus-g curve of A{N-1} singularities, realizing an SU(N) gauge theory coupled to g hypermultiplets in the adjoint. In general, the favored points of stabilization sit at the intersection of several singular loci. Thus the entire vector multiplet moduli space can be lifted, together with hypermultiplet moduli. The scalars are dynamically stabilized during the cosmological evolution induced by the back-reaction of the thermal effective potential. When the universe expands and the temperature T drops, the scalars converge to minima, with damped oscillations. Moreover, they store an energy density that scales as T^4, which never dominates over radiation. The reason for this is that the mass they acquire at one-loop is of order the temperature scale, which is time-dependent. As an example we analyze the type IIA compactification on a Calabi-Yau space with Hodge numbers h{11}=2 and h{12}=128. In this case, both Kahler moduli are stabilized, where the internal space develops a node and an enhanced SU(2) gauge theory coupled to 2 adjoint hypermultiplets. This shows that in the dual thermal heterotic picture on K3xT^2, the torus modulus and the axio-dilaton are stabilized.

10.083671

10.672626

11.625726

10.253285

10.511422

10.50436

10.406371

10.1263

9.911049

13.057468

10.05677

9.912077

10.628679

9.689553

10.089861

9.761674

10.186742

10.016646

10.013755

10.440028

9.700812

1309.5850

Benoit Vicedo

Francois Delduc, Marc Magro, Benoit Vicedo

An integrable deformation of the AdS_5 x S^5 superstring action

5 pages

Phys. Rev. Lett. 112, 051601 (2014)

10.1103/PhysRevLett.112.051601

null

hep-th

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

An integrable deformation of the type IIB AdS_5 x S^5 superstring action is presented. The deformed field equations, Lax connection, and kappa-symmetry transformations are given. The original psu(2,2|4) symmetry is expected to become q-deformed.

[ { "created": "Mon, 23 Sep 2013 15:34:16 GMT", "version": "v1" } ]

2015-06-17

[ [ "Delduc", "Francois", "" ], [ "Magro", "Marc", "" ], [ "Vicedo", "Benoit", "" ] ]

An integrable deformation of the type IIB AdS_5 x S^5 superstring action is presented. The deformed field equations, Lax connection, and kappa-symmetry transformations are given. The original psu(2,2|4) symmetry is expected to become q-deformed.

8.318132

4.898953

7.537207

5.564151

5.283705

4.942386

5.534457

5.29656

5.026183

7.823013

5.201357

5.380468

6.623284

5.601947

5.810581

5.505733

5.403194

5.749941

5.671966

6.924223

5.640593

hep-th/9712046

Dr Ian Kogan

Ian I. Kogan, Alex Kovner, Mikhail Shifman

More on Supersymmetric Domain Walls, N Counting and Glued Potentials

40 pages, Latex, 5 figures. Several references added, final version to be published in Physical Review D

Phys. Rev. D 57, 5195 (1998)

10.1103/PhysRevD.57.5195

OUTP-97-70-P; TPI-MINN-97/27-T; UMN-TH-1611-97

hep-th

null

Various features of domain walls in supersymmetric gluodynamics are discussed. We give a simple field-theoretic interpretation of the phenomenon of strings ending on the walls recently conjectured by Witten. An explanation of this phenomenon in the framework of gauge field theory is outlined. The phenomenon is argued to be particularly natural in supersymmetric theories which support degenerate vacuum states with distinct physical properties. The issue of existence (or non-existence) of the BPS saturated walls in the theories with glued (super)potentials is addressed. The amended Veneziano-Yankielowicz effective Lagrangian belongs to this class. The physical origin of the cusp structure of the effective Lagrangian is revealed, and the limitation it imposes on the calculability of the wall tension is explained. Related problems are considered. In particular, it is shown that the so called discrete anomaly matching, when properly implemented, does not rule out the chirally symmetric phase of supersymmetric gluodynamics, contrary to recent claims.

[ { "created": "Thu, 4 Dec 1997 17:13:13 GMT", "version": "v1" }, { "created": "Wed, 25 Feb 1998 21:42:34 GMT", "version": "v2" } ]

2016-08-25

[ [ "Kogan", "Ian I.", "" ], [ "Kovner", "Alex", "" ], [ "Shifman", "Mikhail", "" ] ]

Various features of domain walls in supersymmetric gluodynamics are discussed. We give a simple field-theoretic interpretation of the phenomenon of strings ending on the walls recently conjectured by Witten. An explanation of this phenomenon in the framework of gauge field theory is outlined. The phenomenon is argued to be particularly natural in supersymmetric theories which support degenerate vacuum states with distinct physical properties. The issue of existence (or non-existence) of the BPS saturated walls in the theories with glued (super)potentials is addressed. The amended Veneziano-Yankielowicz effective Lagrangian belongs to this class. The physical origin of the cusp structure of the effective Lagrangian is revealed, and the limitation it imposes on the calculability of the wall tension is explained. Related problems are considered. In particular, it is shown that the so called discrete anomaly matching, when properly implemented, does not rule out the chirally symmetric phase of supersymmetric gluodynamics, contrary to recent claims.

10.696623

9.93125

11.398617

9.708181

10.551034

10.017542

9.843004

10.299213

10.248856

12.045097

9.981575

10.06353

10.25694

9.82015

10.068195

9.768644

10.008339

9.723714

9.697478

10.492681

9.954138

hep-th/0108051

John F. Tighe

Derivative Expansions of the Exact Renormalisation Group and SU(N|N) Gauge Theory

Thesis,LaTex,128 pages,14 eps figures

null

hep-th

null

We investigate the convergence of the derivative expansion of the exact renormalisation group, by using it to compute the beta function of scalar theory. We demonstrate that the derivative expansion of the Polchinski flow equation converges at one loop for certain fast falling smooth cutoffs. The derivative expansion of the Legendre flow equation trivially converges at one loop, but also at two loops: slowly with sharp cutoff (as a momentum-scale expansion), and rapidly in the case of a smooth exponential cutoff. We also show that the two loop contributions to certain higher derivative operators (not involved in beta) have divergent momentum-scale expansions for sharp cutoff, but the smooth exponential cutoff gives convergent derivative expansions for all such operators with any number of derivatives. In the latter part of the thesis, we address the problems of applying the exact renormalisation group to gauge theories. A regularisation scheme utilising higher covariant derivatives and the spontaneous symmetry breaking of the gauge supergroup SU(N|N) is introduced and it is demonstrated to be finite to all orders of perturbation theory.

[ { "created": "Wed, 8 Aug 2001 15:18:01 GMT", "version": "v1" } ]

2007-05-23

[ [ "Tighe", "John F.", "" ] ]

We investigate the convergence of the derivative expansion of the exact renormalisation group, by using it to compute the beta function of scalar theory. We demonstrate that the derivative expansion of the Polchinski flow equation converges at one loop for certain fast falling smooth cutoffs. The derivative expansion of the Legendre flow equation trivially converges at one loop, but also at two loops: slowly with sharp cutoff (as a momentum-scale expansion), and rapidly in the case of a smooth exponential cutoff. We also show that the two loop contributions to certain higher derivative operators (not involved in beta) have divergent momentum-scale expansions for sharp cutoff, but the smooth exponential cutoff gives convergent derivative expansions for all such operators with any number of derivatives. In the latter part of the thesis, we address the problems of applying the exact renormalisation group to gauge theories. A regularisation scheme utilising higher covariant derivatives and the spontaneous symmetry breaking of the gauge supergroup SU(N|N) is introduced and it is demonstrated to be finite to all orders of perturbation theory.

10.45376

6.85688

10.568831

8.326859

6.441281

6.91826

6.186684

7.27744

8.066144

11.704514

7.839311

9.537561

10.689347

9.706163

9.631724

9.365267

9.215558

9.589157

9.852878

11.005683

9.626784

1007.1183

Shinya Tomizawa

Uniqueness theorems for Kaluza-Klein black holes in five-dimensional minimal supergravity

17 pages, 1 figuer

Phys.Rev.D82:104047,2010

10.1103/PhysRevD.82.104047

KEK-TH 1377

hep-th gr-qc

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

We show uniqueness theorems for Kaluza-Klein black holes in the bosonic sector of five-dimensional minimal supergravity. More precisely, under the assumptions of the existence of two commuting axial isometries and a non-degenerate connected event horizon of the cross section topology S^3, or lens space, we prove that a stationary charged rotating Kaluza-Klein black hole in five-dimensional minimal supergravity is uniquely characterized by its mass, two independent angular momenta, electric charge, magnetic flux and nut charge, provided that there does not exist any nuts in the domain of outer communication. We also show that under the assumptions of the same symmetry, same asymptotics and the horizon cross section of S^1\times S^2, a black ring within the same theory---if exists---is uniquely determined by its dipole charge and rod structure besides the charges and magnetic flux.

[ { "created": "Wed, 7 Jul 2010 16:48:58 GMT", "version": "v1" } ]

2010-12-23

[ [ "Tomizawa", "Shinya", "" ] ]

We show uniqueness theorems for Kaluza-Klein black holes in the bosonic sector of five-dimensional minimal supergravity. More precisely, under the assumptions of the existence of two commuting axial isometries and a non-degenerate connected event horizon of the cross section topology S^3, or lens space, we prove that a stationary charged rotating Kaluza-Klein black hole in five-dimensional minimal supergravity is uniquely characterized by its mass, two independent angular momenta, electric charge, magnetic flux and nut charge, provided that there does not exist any nuts in the domain of outer communication. We also show that under the assumptions of the same symmetry, same asymptotics and the horizon cross section of S^1\times S^2, a black ring within the same theory---if exists---is uniquely determined by its dipole charge and rod structure besides the charges and magnetic flux.

7.638429

6.680348

7.653107

6.384035

6.333715

6.319263

6.808359

6.546947

6.970859

9.25151

6.886838

7.040388

7.453166

7.160987

6.848702

6.850371

7.071908

7.106098

7.158847

7.544066

7.231169

hep-th/9202034

Tim Klassen

Timothy R. Klassen and Ezer Melzer

Kinks in Finite Volume

48/28 pages + 10 figs, 4 in pictex, the rest in postscript files attached at the end

Nucl.Phys. B382 (1992) 441-485

10.1016/0550-3213(92)90656-V

null

hep-th

null

A (1+1)-dimensional quantum field theory with a degenerate vacuum (in infinite volume) can contain particles, known as kinks, which interpolate between different vacua and have nontrivial restrictions on their multi-particle Hilbert space. Assuming such a theory to be integrable, we show how to calculate the multi-kink energy levels in finite volume given its factorizable $S$-matrix. In massive theories this can be done exactly up to contributions due to off-shell and tunneling effects that fall off exponentially with volume. As a first application we compare our analytical predictions for the kink scattering theories conjectured to describe the subleading thermal and magnetic perturbations of the tricritical Ising model with numerical results from the truncated conformal space approach. In particular, for the subleading magnetic perturbation our results allow us to decide between the two different $S$-matrices proposed by Smirnov and Zamolodchikov.

[ { "created": "Tue, 11 Feb 1992 04:12:22 GMT", "version": "v1" } ]

2009-10-22

[ [ "Klassen", "Timothy R.", "" ], [ "Melzer", "Ezer", "" ] ]

A (1+1)-dimensional quantum field theory with a degenerate vacuum (in infinite volume) can contain particles, known as kinks, which interpolate between different vacua and have nontrivial restrictions on their multi-particle Hilbert space. Assuming such a theory to be integrable, we show how to calculate the multi-kink energy levels in finite volume given its factorizable $S$-matrix. In massive theories this can be done exactly up to contributions due to off-shell and tunneling effects that fall off exponentially with volume. As a first application we compare our analytical predictions for the kink scattering theories conjectured to describe the subleading thermal and magnetic perturbations of the tricritical Ising model with numerical results from the truncated conformal space approach. In particular, for the subleading magnetic perturbation our results allow us to decide between the two different $S$-matrices proposed by Smirnov and Zamolodchikov.

8.497613

7.784709

9.234843

7.725205

8.265757

8.099664

8.19516

7.672474

7.755066

10.32474

7.72807

7.800055

8.212126

7.616877

7.752408

7.791563

7.695558

7.991412

7.670519

8.491865

7.78213

hep-th/0307231

Chi-Wei Herbert Lee

C.-W. H. Lee and R. B. Mann

String bit models of two-dimensional quantum gravity coupled with matter

24 pages, LaTeX2e; typos corrected, references added

Nucl.Phys. B675 (2003) 139-158

10.1016/j.nuclphysb.2003.09.031

null

hep-th gr-qc

null

We extend the formalism of Hamiltonian string bit models of quantum gravity type in two spacetime dimensions to include couplings to particles. We find that the single-particle closed and open universe models respectively behave like empty open and closed universes, and that a system of two distinguishable particles in a closed universe behaves like an empty closed universe. We then construct a metamodel that contains all such models, and find that its transition amplitude is exactly the same as the sl(2) gravity model.

[ { "created": "Wed, 23 Jul 2003 18:55:14 GMT", "version": "v1" }, { "created": "Wed, 26 Nov 2003 16:30:05 GMT", "version": "v2" } ]

2015-06-26

[ [ "Lee", "C. -W. H.", "" ], [ "Mann", "R. B.", "" ] ]

We extend the formalism of Hamiltonian string bit models of quantum gravity type in two spacetime dimensions to include couplings to particles. We find that the single-particle closed and open universe models respectively behave like empty open and closed universes, and that a system of two distinguishable particles in a closed universe behaves like an empty closed universe. We then construct a metamodel that contains all such models, and find that its transition amplitude is exactly the same as the sl(2) gravity model.

15.701447

16.250669

15.397299

15.939491

16.159212

14.818044

17.879662

15.16218

16.358152

17.880121

14.644627

15.208274

15.022779

14.518444

14.915034

15.014557

15.339912

14.423445

15.276544

15.048089

14.80009

hep-th/0104092

Henrik Aratyn

H. Aratyn and J. van de Leur

Solutions of the WDVV Equations and Integrable Hierarchies of KP type

28 pages, LaTeX

Commun.Math.Phys.239:155-182,2003

10.1007/s00220-003-0883-8

null

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

null

We show that reductions of KP hierarchies related to the loop algebra of $SL_n$ with homogeneous gradation give solutions of the Darboux-Egoroff system of PDE's. Using explicit dressing matrices of the Riemann-Hilbert problem generalized to include a set of commuting additional symmetries, we construct solutions of the Witten--Dijkgraaf--E. Verlinde--H. Verlinde equations.

[ { "created": "Tue, 10 Apr 2001 13:05:57 GMT", "version": "v1" } ]

2014-11-18

[ [ "Aratyn", "H.", "" ], [ "van de Leur", "J.", "" ] ]

We show that reductions of KP hierarchies related to the loop algebra of $SL_n$ with homogeneous gradation give solutions of the Darboux-Egoroff system of PDE's. Using explicit dressing matrices of the Riemann-Hilbert problem generalized to include a set of commuting additional symmetries, we construct solutions of the Witten--Dijkgraaf--E. Verlinde--H. Verlinde equations.

11.508102

11.730411

14.400443

11.014763

11.871902

13.260814

13.003425

11.15624

11.096048

14.70527

12.068045

10.767464

11.32199

9.821542

11.305811

12.215616

10.201029

10.406655

10.51662

10.68882

10.306919

1011.4828

Nobuyuki Sakai

Nobuyuki Sakai, Hideki Ishihara and Ken-ichi Nakao

Q-tubes and Q-crusts

6 pages, 5 figures, to appear in Phys. Rev. D

null

10.1103/PhysRevD.84.105022

OCU-PHYS 341, AP-GR 85

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

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

We explore equilibrium solutions of non-topological solitons in a general class of scalar field theories which include global U(1) symmetry. We find new types of solutions, tube-shaped and crust-shaped objects, and investigate their stability. Like Q-balls, the new solitons can exist in supersymmetric extensions of the Standard Model, which may responsible for baryon asymmetry and dark matter. Therefore, observational signals of the new solitons would give us more informations on the early universe and supersymmetric theories.

[ { "created": "Mon, 22 Nov 2010 14:48:14 GMT", "version": "v1" }, { "created": "Fri, 21 Oct 2011 07:58:59 GMT", "version": "v2" } ]

2015-05-20

[ [ "Sakai", "Nobuyuki", "" ], [ "Ishihara", "Hideki", "" ], [ "Nakao", "Ken-ichi", "" ] ]

We explore equilibrium solutions of non-topological solitons in a general class of scalar field theories which include global U(1) symmetry. We find new types of solutions, tube-shaped and crust-shaped objects, and investigate their stability. Like Q-balls, the new solitons can exist in supersymmetric extensions of the Standard Model, which may responsible for baryon asymmetry and dark matter. Therefore, observational signals of the new solitons would give us more informations on the early universe and supersymmetric theories.

9.933702

9.426252

8.373638

8.750252

9.731344

9.317797

9.614806

9.305748

9.227265

9.853709

9.275186

9.544565

9.348449

9.312833

9.611438

9.569686

9.682729

9.431697

9.374504

9.039843

9.545742

hep-th/9210023

Shahn Majid

S. Majid

Infinite Braided Tensor Products and 2-D quantum Gravity

4 pages, LATEX, to appear Proc. XXI DGM, Nankai, China 1992

null

hep-th

null

Braided tensor products have been introduced by the author as a systematic way of making two quantum-group-covariant systems interact in a covariant way, and used in the theory of braided groups. Here we study infinite braided tensor products of the quantum plane (or other constant Zamolodchikov algebra). It turns out that such a structure precisely describes the exchange algebra in 2D quantum gravity in the approach of Gervais. We also consider infinite braided tensor products of quantum groups and braided groups.

[ { "created": "Mon, 5 Oct 1992 16:21:33 GMT", "version": "v1" } ]

2007-05-23

[ [ "Majid", "S.", "" ] ]

Braided tensor products have been introduced by the author as a systematic way of making two quantum-group-covariant systems interact in a covariant way, and used in the theory of braided groups. Here we study infinite braided tensor products of the quantum plane (or other constant Zamolodchikov algebra). It turns out that such a structure precisely describes the exchange algebra in 2D quantum gravity in the approach of Gervais. We also consider infinite braided tensor products of quantum groups and braided groups.

11.486905

11.317213

12.122149

10.601217

9.993737

11.538741

11.378304

10.460714

9.85292

12.336758

10.310043

9.852039

10.537663

10.06438

9.840942

9.895007

9.589091

9.449327

9.634208

10.46876

9.638124

hep-th/0005182

Gleb Arutyunov

G. Arutyunov, S. Frolov and A. C. Petkou

Operator Product Expansion of the Lowest Weight CPOs in N=4 SYM_4 at Strong Coupling

Latex, 47p, subsection 4.5 is modified, typos are corrected

Nucl.Phys. B586 (2000) 547-588; Erratum-ibid. B609 (2001) 539

10.1016/S0550-3213(00)00439-9

LMU-TPW00/12, UAHEP00/5, KL-TH00/04

hep-th

null

We present a detailed analysis of the 4-point functions of the lowest weight chiral primary operators $O^{I} \sim \tr \phi^{(i}\phi^{j)}$ in $\N =4$ SYM$_4$ at strong coupling and show that their structure is compatible with the predictions of AdS/CFT correspondence. In particular, all power-singular terms in the 4-point functions exactly coincide with the contributions coming from the conformal blocks of the CPOs, the R-symmetry current and the stress tensor. Operators dual to string modes decouple at strong coupling. We compute the anomalous dimensions and the leading $1/N^2$ corrections to the normalization constants of the 2- and 3-point functions of scalar and vector double-trace operators with approximate dimensions 4 and 5 respectively. We also find that the conformal dimensions of certain towers of double-trace operators in the {\bf 105}, {\bf 84} and {\bf 175} irreps are non-renormalized. We show that, despite the absence of a non-renormalization theorem for the double-trace operator in the {\bf 20} irrep, its anomalous dimension vanishes. As by-products of our investigation, we derive explicit expressions for the conformal block of the stress tensor, and for the conformal partial wave amplitudes of a conserved current and of a stress tensor in $d$ dimensions.

[ { "created": "Fri, 19 May 2000 16:44:51 GMT", "version": "v1" }, { "created": "Tue, 8 May 2001 17:16:24 GMT", "version": "v2" } ]

2009-10-31

[ [ "Arutyunov", "G.", "" ], [ "Frolov", "S.", "" ], [ "Petkou", "A. C.", "" ] ]

We present a detailed analysis of the 4-point functions of the lowest weight chiral primary operators $O^{I} \sim \tr \phi^{(i}\phi^{j)}$ in $\N =4$ SYM$_4$ at strong coupling and show that their structure is compatible with the predictions of AdS/CFT correspondence. In particular, all power-singular terms in the 4-point functions exactly coincide with the contributions coming from the conformal blocks of the CPOs, the R-symmetry current and the stress tensor. Operators dual to string modes decouple at strong coupling. We compute the anomalous dimensions and the leading $1/N^2$ corrections to the normalization constants of the 2- and 3-point functions of scalar and vector double-trace operators with approximate dimensions 4 and 5 respectively. We also find that the conformal dimensions of certain towers of double-trace operators in the {\bf 105}, {\bf 84} and {\bf 175} irreps are non-renormalized. We show that, despite the absence of a non-renormalization theorem for the double-trace operator in the {\bf 20} irrep, its anomalous dimension vanishes. As by-products of our investigation, we derive explicit expressions for the conformal block of the stress tensor, and for the conformal partial wave amplitudes of a conserved current and of a stress tensor in $d$ dimensions.

5.231572

5.81144

6.64614

5.662981

5.713067

5.802531

5.721117

5.828875

5.686904

6.910651

5.797477

5.466403

5.711404

5.623072

5.617258

5.52365

5.50228

5.460195

5.444826

5.750333

5.450924

1606.00902

Gerald V. Dunne

Robert Dabrowski and Gerald V. Dunne

On the Time Dependence of Adiabatic Particle Number

27 pages, 13 figures

Phys. Rev. D 94, 065005 (2016)

10.1103/PhysRevD.94.065005

null

hep-th cond-mat.other math-ph math.MP

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

We consider quantum field theoretic systems subject to a time-dependent perturbation, and discuss the question of defining a time dependent particle number not just at asymptotic early and late times, but also during the perturbation. Naively, this is not a well-defined notion for such a non-equilibrium process, as the particle number at intermediate times depends on a basis choice of reference states with respect to which particles and anti-particles are defined, even though the final late-time particle number is independent of this basis choice. The basis choice is associated with a particular truncation of the adiabatic expansion. The adiabatic expansion is divergent, and we show that if this divergent expansion is truncated at its optimal order, a universal time dependence is obtained, confirming a general result of Dingle and Berry. This optimally truncated particle number provides a clear picture of quantum interference effects for perturbations with non-trivial temporal sub-structure. We illustrate these results using several equivalent definitions of adiabatic particle number: the Bogoliubov, Riccati, Spectral Function and Schrodinger picture approaches. In each approach, the particle number may be expressed in terms of the tiny deviations between the exact and adiabatic solutions of the Ermakov-Milne equation for the associated time-dependent oscillators.

[ { "created": "Thu, 2 Jun 2016 21:23:23 GMT", "version": "v1" } ]

2016-09-14

[ [ "Dabrowski", "Robert", "" ], [ "Dunne", "Gerald V.", "" ] ]

We consider quantum field theoretic systems subject to a time-dependent perturbation, and discuss the question of defining a time dependent particle number not just at asymptotic early and late times, but also during the perturbation. Naively, this is not a well-defined notion for such a non-equilibrium process, as the particle number at intermediate times depends on a basis choice of reference states with respect to which particles and anti-particles are defined, even though the final late-time particle number is independent of this basis choice. The basis choice is associated with a particular truncation of the adiabatic expansion. The adiabatic expansion is divergent, and we show that if this divergent expansion is truncated at its optimal order, a universal time dependence is obtained, confirming a general result of Dingle and Berry. This optimally truncated particle number provides a clear picture of quantum interference effects for perturbations with non-trivial temporal sub-structure. We illustrate these results using several equivalent definitions of adiabatic particle number: the Bogoliubov, Riccati, Spectral Function and Schrodinger picture approaches. In each approach, the particle number may be expressed in terms of the tiny deviations between the exact and adiabatic solutions of the Ermakov-Milne equation for the associated time-dependent oscillators.

9.278293

10.798487

10.166468

9.612464

10.49956

10.672639

10.177444

10.08199

9.675691

10.930153

9.790232

9.25096

9.024848

8.835749

9.309141

9.019994

9.187181

8.991647

9.072173

9.203534

8.939385

1510.07911

Daniel Harlow

Wormholes, Emergent Gauge Fields, and the Weak Gravity Conjecture

26 pages plus appendices, 8 figures. v2: minor clarifications/corrections, references added

null

10.1007/JHEP01(2016)122

null

hep-th gr-qc

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

This paper revisits the question of reconstructing bulk gauge fields as boundary operators in AdS/CFT. In the presence of the wormhole dual to the thermofield double state of two CFTs, the existence of bulk gauge fields is in some tension with the microscopic tensor factorization of the Hilbert space. I explain how this tension can be resolved by splitting the gauge field into charged constituents, and I argue that this leads to a new argument for the "principle of completeness", which states that the charge lattice of a gauge theory coupled to gravity must be fully populated. I also claim that it leads to a new motivation for (and a clarification of) the "weak gravity conjecture", which I interpret as a strengthening of this principle. This setup gives a simple example of a situation where describing low-energy bulk physics in CFT language requires knowledge of high-energy bulk physics. This contradicts to some extent the notion of "effective conformal field theory", but in fact is an expected feature of the resolution of the black hole information problem. An analogous factorization issue exists also for the gravitational field, and I comment on several of its implications for reconstructing black hole interiors and the emergence of spacetime more generally.

[ { "created": "Tue, 27 Oct 2015 14:09:49 GMT", "version": "v1" }, { "created": "Fri, 4 Dec 2015 16:23:49 GMT", "version": "v2" } ]

2016-02-17

[ [ "Harlow", "Daniel", "" ] ]

This paper revisits the question of reconstructing bulk gauge fields as boundary operators in AdS/CFT. In the presence of the wormhole dual to the thermofield double state of two CFTs, the existence of bulk gauge fields is in some tension with the microscopic tensor factorization of the Hilbert space. I explain how this tension can be resolved by splitting the gauge field into charged constituents, and I argue that this leads to a new argument for the "principle of completeness", which states that the charge lattice of a gauge theory coupled to gravity must be fully populated. I also claim that it leads to a new motivation for (and a clarification of) the "weak gravity conjecture", which I interpret as a strengthening of this principle. This setup gives a simple example of a situation where describing low-energy bulk physics in CFT language requires knowledge of high-energy bulk physics. This contradicts to some extent the notion of "effective conformal field theory", but in fact is an expected feature of the resolution of the black hole information problem. An analogous factorization issue exists also for the gravitational field, and I comment on several of its implications for reconstructing black hole interiors and the emergence of spacetime more generally.

9.724539

9.261827

11.266858

9.199649

8.963549

9.013948

9.277833

9.257134

9.010876

12.159344

8.967354

8.950124

9.81039

9.478371

9.322922

9.162668

9.21727

9.380919

9.268257

9.876883

9.404213

hep-th/0507287

Jonathan Oppenheim

John Smolin and Jonathan Oppenheim

Information locking in black holes

5 pages, to appear in PRL. Presented at the Newton Institute's workshop on Quantum gravity and quantum information, Dec. 17th, 2004

Phys.Rev.Lett. 96 (2006) 081302

10.1103/PhysRevLett.96.081302

null

hep-th gr-qc quant-ph

null

The black hole information loss paradox has plagued physicists since Hawking's discovery that black holes evaporate thermally in contradiction to the unitarity expected by quantum mechanics. Here we show that one of the central presumptions of the debate is incorrect. Ensuring that information not escape during the semi-classical evaporation process does not require that all the information remain in the black hole until the final stages of evaporation. Using recent results in quantum information theory, we find that the amount of information that must remain in the black hole until the final stages of evaporation can be very small, even though the amount already radiated away is negligible. Quantum effects mean that information need not be additive: a small number of quanta can lock a large amount of information, making it inaccessible. When this small number of locking quanta are finally emitted, the full information (and unitarity) is restored. Only if the number of initial states is restricted will the locking mechanism leak out information early.

[ { "created": "Thu, 28 Jul 2005 21:52:59 GMT", "version": "v1" }, { "created": "Tue, 20 Dec 2005 21:33:34 GMT", "version": "v2" } ]

2009-11-11

[ [ "Smolin", "John", "" ], [ "Oppenheim", "Jonathan", "" ] ]

The black hole information loss paradox has plagued physicists since Hawking's discovery that black holes evaporate thermally in contradiction to the unitarity expected by quantum mechanics. Here we show that one of the central presumptions of the debate is incorrect. Ensuring that information not escape during the semi-classical evaporation process does not require that all the information remain in the black hole until the final stages of evaporation. Using recent results in quantum information theory, we find that the amount of information that must remain in the black hole until the final stages of evaporation can be very small, even though the amount already radiated away is negligible. Quantum effects mean that information need not be additive: a small number of quanta can lock a large amount of information, making it inaccessible. When this small number of locking quanta are finally emitted, the full information (and unitarity) is restored. Only if the number of initial states is restricted will the locking mechanism leak out information early.

9.711112

10.635873

9.36685

9.471066

10.538032

10.768046

10.766574

9.600099

9.378819

10.471254

9.982466

9.190988

9.519509

9.172238

9.226343

9.192249

9.094761

9.318406

9.160223

9.349724

9.115847

1412.2059

Lihui Liu

Lecture notes on thermodynamics of ideal string gases and its application in cosmology

54 pages, 1 figure, based on lectures given at the Eighth Modave Summer School in Mathematical Physics on 29th and 30th August 2012, Modave, Belgium Published in PoS in 2013: http://pos.sissa.it/archive/conferences/195/002/Modave%20VIII_002.pdf Minor difference from the published version. The work in progress indicated by Ref[58] is published: R.Brandenberger et al, [arXiv:1312.2524]

null

hep-th

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

In these lecture notes I give a pedagogical introduction to the thermodynamics of ideal string gases. The computation of thermodynamic quantities in the canonical ensemble formalism will be shown in detail with explicit examples. Attention will be given mainly to the thermodynamical consequences of string degrees of freedom, where I will especially address i) the Hagedorn temperature, a critical temperature above which the canonical ensemble description breaks down, which can be the onset point of some instability of the string gas; ii) the phase structure arising from compactification, embodied in the moduli-dependence of the Helmholtz free energy, which corrects the tree-level vacuum and can provide mechanism for moduli stabilization. Then I will briefly explain the implementation of string gas thermodynamics in cosmology, showing a simple example which gives rise to a radiation-dominated early universe. Further phenomenological issues and open questions will be discussed qualitatively with references indicated, including the Hagedorn instability in the resolution of the initial singularity, moduli stabilization, generation of hierarchy, radiative symmetry breaking and primordial cosmological fluctuations.

[ { "created": "Fri, 5 Dec 2014 16:50:05 GMT", "version": "v1" } ]

2014-12-08

[ [ "Liu", "Lihui", "" ] ]

In these lecture notes I give a pedagogical introduction to the thermodynamics of ideal string gases. The computation of thermodynamic quantities in the canonical ensemble formalism will be shown in detail with explicit examples. Attention will be given mainly to the thermodynamical consequences of string degrees of freedom, where I will especially address i) the Hagedorn temperature, a critical temperature above which the canonical ensemble description breaks down, which can be the onset point of some instability of the string gas; ii) the phase structure arising from compactification, embodied in the moduli-dependence of the Helmholtz free energy, which corrects the tree-level vacuum and can provide mechanism for moduli stabilization. Then I will briefly explain the implementation of string gas thermodynamics in cosmology, showing a simple example which gives rise to a radiation-dominated early universe. Further phenomenological issues and open questions will be discussed qualitatively with references indicated, including the Hagedorn instability in the resolution of the initial singularity, moduli stabilization, generation of hierarchy, radiative symmetry breaking and primordial cosmological fluctuations.

11.306953

11.544449

11.606815

10.611185

11.812116

10.906654

11.1626

10.652633

10.929877

12.904956

10.797579

10.621804

10.569045

10.250315

10.504125

10.27221

10.49129

10.735051

10.387832

10.732567

10.511874

1301.0336

Tatsuma Nishioka

Christopher P. Herzog and Tatsuma Nishioka

Entanglement Entropy of a Massive Fermion on a Torus

29 pages, 14 figures

null

10.1007/JHEP03(2013)077

PUPT-2438; YITP-12-47

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

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

The Renyi entropies of a massless Dirac fermion on a circle with chemical potential are calculated analytically at nonzero temperature by using the bosonization method. The bosonization of a massive Dirac fermion to the sine-Gordon model lets us obtain the small mass corrections to the entropies. We numerically compute the Renyi entropies by putting a massive fermion on the lattice and find agreement between the analytic and numerical results. In the presence of a mass gap, we show that corrections to Renyi and entanglement entropies in the limit m >> T scale as exp(-m/T). We also show that when there is ground state degeneracy in the gapless case, the limits m to zero and T to zero do not commute.

[ { "created": "Wed, 2 Jan 2013 21:38:42 GMT", "version": "v1" } ]

2015-06-12

[ [ "Herzog", "Christopher P.", "" ], [ "Nishioka", "Tatsuma", "" ] ]

The Renyi entropies of a massless Dirac fermion on a circle with chemical potential are calculated analytically at nonzero temperature by using the bosonization method. The bosonization of a massive Dirac fermion to the sine-Gordon model lets us obtain the small mass corrections to the entropies. We numerically compute the Renyi entropies by putting a massive fermion on the lattice and find agreement between the analytic and numerical results. In the presence of a mass gap, we show that corrections to Renyi and entanglement entropies in the limit m >> T scale as exp(-m/T). We also show that when there is ground state degeneracy in the gapless case, the limits m to zero and T to zero do not commute.

6.13754

6.368245

6.806636

5.700997

6.438041

5.81637

6.023387

6.08835

5.800068

7.031994

5.771227

5.91273

6.546247

5.880782

6.055914

6.083514

5.880206

5.943395

6.011952

6.62342

5.930501

2406.17079

Ross Dempsey

Ross Dempsey, Igor R. Klebanov, Silviu S. Pufu, Benjamin T. S{\o}gaard

Small Circle Expansion for Adjoint QCD$_2$ with Periodic Boundary Conditions

57 pages, 4 figures

null

PUPT-2653

hep-th quant-ph

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

We study $1+1$-dimensional $\text{SU}(N)$ gauge theory coupled to one adjoint multiplet of Majorana fermions on a small spatial circle of circumference $L$. Using periodic boundary conditions, we derive the effective action for the quantum mechanics of the holonomy and the fermion zero modes in perturbation theory up to order $(gL)^3$. When the adjoint fermion mass-squared is tuned to $g^2 N/(2\pi)$, the effective action is found to be an example of supersymmetric quantum mechanics with a nontrivial superpotential. We separate the states into the $\mathbb{Z}_N$ center symmetry sectors (universes) labeled by $p=0, \ldots, N-1$ and show that in one of the sectors the supersymmetry is unbroken, while in the others it is broken spontaneously. These results give us new insights into the $(1,1)$ supersymmetry of adjoint QCD$_2$, which has previously been established using light-cone quantization. When the adjoint mass is set to zero, our effective Hamiltonian does not depend on the fermions at all, so that there are $2^{N-1}$ degenerate sectors of the Hilbert space. This construction appears to provide an explicit realization of the extended symmetry of the massless model, where there are $2^{2N-2}$ operators that commute with the Hamiltonian. We also generalize our results to other gauge groups $G$, for which supersymmetry is found at the adjoint mass-squared $g^2 h^\vee/(2\pi)$, where $h^\vee$ is the dual Coxeter number of $G$.

[ { "created": "Mon, 24 Jun 2024 19:07:42 GMT", "version": "v1" } ]

2024-06-26

[ [ "Dempsey", "Ross", "" ], [ "Klebanov", "Igor R.", "" ], [ "Pufu", "Silviu S.", "" ], [ "Søgaard", "Benjamin T.", "" ] ]

We study $1+1$-dimensional $\text{SU}(N)$ gauge theory coupled to one adjoint multiplet of Majorana fermions on a small spatial circle of circumference $L$. Using periodic boundary conditions, we derive the effective action for the quantum mechanics of the holonomy and the fermion zero modes in perturbation theory up to order $(gL)^3$. When the adjoint fermion mass-squared is tuned to $g^2 N/(2\pi)$, the effective action is found to be an example of supersymmetric quantum mechanics with a nontrivial superpotential. We separate the states into the $\mathbb{Z}_N$ center symmetry sectors (universes) labeled by $p=0, \ldots, N-1$ and show that in one of the sectors the supersymmetry is unbroken, while in the others it is broken spontaneously. These results give us new insights into the $(1,1)$ supersymmetry of adjoint QCD$_2$, which has previously been established using light-cone quantization. When the adjoint mass is set to zero, our effective Hamiltonian does not depend on the fermions at all, so that there are $2^{N-1}$ degenerate sectors of the Hilbert space. This construction appears to provide an explicit realization of the extended symmetry of the massless model, where there are $2^{2N-2}$ operators that commute with the Hamiltonian. We also generalize our results to other gauge groups $G$, for which supersymmetry is found at the adjoint mass-squared $g^2 h^\vee/(2\pi)$, where $h^\vee$ is the dual Coxeter number of $G$.

5.429678

5.617858

5.979098

5.310791

5.571116

5.507277

5.444918

5.312772

5.262399

6.057299

5.467265

5.545079

5.461411

5.405445

5.374454

5.523283

5.446953

5.432261

5.292435

5.429467

5.439657

hep-th/0003271

Ricardo Troncoso

Juan Crisostomo, Ricardo Troncoso and Jorge Zanelli

Black Hole Scan

Two columns, revtex, 15 pages, 5 figures, minor typos corrected, final version for Journal

Phys.Rev.D62:084013,2000

10.1103/PhysRevD.62.084013

CECS-PHY-00/01; ULB-TH-00/01

hep-th gr-qc

null

Gravitation theories selected by requiring that they have a unique anti-de Sitter vacuum with a fixed cosmological constant are studied. For a given dimension d, the Lagrangians under consideration are labeled by an integer k=1,2,...,[(d-1)/2]. Black holes for each d and k are found and are used to rank these theories. A minimum possible size for a localized electrically charged source is predicted in the whole set of theories, except General Relativity. It is found that the thermodynamic behavior falls into two classes: If d-2k=1, these solutions resemble the three dimensional black hole, otherwise, their behavior is similar to the Schwarzschild-AdS_4 geometry.

[ { "created": "Wed, 29 Mar 2000 12:36:36 GMT", "version": "v1" }, { "created": "Fri, 22 Sep 2000 02:33:27 GMT", "version": "v2" } ]

2009-07-09

[ [ "Crisostomo", "Juan", "" ], [ "Troncoso", "Ricardo", "" ], [ "Zanelli", "Jorge", "" ] ]

Gravitation theories selected by requiring that they have a unique anti-de Sitter vacuum with a fixed cosmological constant are studied. For a given dimension d, the Lagrangians under consideration are labeled by an integer k=1,2,...,[(d-1)/2]. Black holes for each d and k are found and are used to rank these theories. A minimum possible size for a localized electrically charged source is predicted in the whole set of theories, except General Relativity. It is found that the thermodynamic behavior falls into two classes: If d-2k=1, these solutions resemble the three dimensional black hole, otherwise, their behavior is similar to the Schwarzschild-AdS_4 geometry.

13.768352

13.164179

11.795127

11.705096

12.580313

12.449068

12.721682

12.127621

12.050256

15.570643

12.759649

12.488761

12.80958

12.77883

12.192054

12.312023

12.241133

11.888166

12.41619

13.182418

12.20245

1406.5236

Yiwen Pan

5d Higgs Branch Localization, Seiberg-Witten Equations and Contact Geometry

v1: 48 Pages; v2: references added; v3: various details and remarks are added, fix the signs and factors in the suppression bound, where a bound on hypermultiplet mass arises, v4: acknowledgement modified

null

10.1007/JHEP01(2015)145

null

hep-th math-ph math.MP

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

In this paper we apply the idea of Higgs branch localization to 5d supersymmetric theories of vector multiplet and hypermultiplets, obtained as the rigid limit of $\mathcal{N} = 1$ supergravity with all auxiliary fields. On supersymmetric K-contact/Sasakian background, the Higgs branch BPS equations can be interpreted as 5d generalizations of the Seiberg-Witten equations. We discuss the properties and local behavior of the solutions near closed Reeb orbits. For $U(1)$ gauge theories, we show the suppression of the deformed Coulomb branch, and the partition function is dominated by 5d Seiberg-Witten solutions at large $\zeta$-limit. For squashed $S^5$ and $Y^{pq}$ manifolds, we show the matching between poles in the perturbative Coulomb branch matrix model, and the bound on local winding numbers of the BPS solutions.

[ { "created": "Thu, 19 Jun 2014 23:17:25 GMT", "version": "v1" }, { "created": "Thu, 7 Aug 2014 19:33:17 GMT", "version": "v2" }, { "created": "Sat, 1 Nov 2014 14:29:36 GMT", "version": "v3" }, { "created": "Fri, 29 May 2015 20:25:27 GMT", "version": "v4" } ]

2015-06-22

[ [ "Pan", "Yiwen", "" ] ]

In this paper we apply the idea of Higgs branch localization to 5d supersymmetric theories of vector multiplet and hypermultiplets, obtained as the rigid limit of $\mathcal{N} = 1$ supergravity with all auxiliary fields. On supersymmetric K-contact/Sasakian background, the Higgs branch BPS equations can be interpreted as 5d generalizations of the Seiberg-Witten equations. We discuss the properties and local behavior of the solutions near closed Reeb orbits. For $U(1)$ gauge theories, we show the suppression of the deformed Coulomb branch, and the partition function is dominated by 5d Seiberg-Witten solutions at large $\zeta$-limit. For squashed $S^5$ and $Y^{pq}$ manifolds, we show the matching between poles in the perturbative Coulomb branch matrix model, and the bound on local winding numbers of the BPS solutions.

10.073668

9.97572

12.0415

9.255569

10.282409

9.793048

10.047935

9.922679

9.382449

13.05163

9.74372

9.453668

9.760999

9.408117

9.623191

9.451325

9.450032

9.554823

9.27319

9.752378

9.631732

2002.03865

Javier Magan

Javier M. Magan and Joan Simon

On operator growth and emergent Poincar\'e symmetries

33 pages

null

10.1007/JHEP05(2020)071

null

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

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

We consider operator growth for generic large-N gauge theories at finite temperature. Our analysis is performed in terms of Fourier modes, which do not mix with other operators as time evolves, and whose correlation functions are determined by their two-point functions alone, at leading order in the large-N limit. The algebra of these modes allows for a simple analysis of the operators with whom the initial operator mixes over time, and guarantees the existence of boundary CFT operators closing the bulk Poincar\'e algebra, describing the experience of infalling observers. We discuss several existing approaches to operator growth, such as number operators, proper energies, the many-body recursion method, quantum circuit complexity, and comment on its relation to classical chaos in black hole dynamics. The analysis evades the bulk vs boundary dichotomy and shows that all such approaches are the same at both sides of the holographic duality, a statement that simply rests on the equality between operator evolution itself. In the way, we show all these approaches have a natural formulation in terms of the Gelfand-Naimark-Segal (GNS) construction, which maps operator evolution to a more conventional quantum state evolution, and provides an extension of the notion of operator growth to QFT.

[ { "created": "Mon, 10 Feb 2020 15:29:50 GMT", "version": "v1" } ]

2020-06-24

[ [ "Magan", "Javier M.", "" ], [ "Simon", "Joan", "" ] ]

We consider operator growth for generic large-N gauge theories at finite temperature. Our analysis is performed in terms of Fourier modes, which do not mix with other operators as time evolves, and whose correlation functions are determined by their two-point functions alone, at leading order in the large-N limit. The algebra of these modes allows for a simple analysis of the operators with whom the initial operator mixes over time, and guarantees the existence of boundary CFT operators closing the bulk Poincar\'e algebra, describing the experience of infalling observers. We discuss several existing approaches to operator growth, such as number operators, proper energies, the many-body recursion method, quantum circuit complexity, and comment on its relation to classical chaos in black hole dynamics. The analysis evades the bulk vs boundary dichotomy and shows that all such approaches are the same at both sides of the holographic duality, a statement that simply rests on the equality between operator evolution itself. In the way, we show all these approaches have a natural formulation in terms of the Gelfand-Naimark-Segal (GNS) construction, which maps operator evolution to a more conventional quantum state evolution, and provides an extension of the notion of operator growth to QFT.

15.886877

16.657173

18.073616

15.608403

15.383

16.180534

16.984495

16.352642

15.654481

18.824289

14.97885

15.886418

15.989388

14.878511

15.26588

15.260203

15.280995

15.441161

15.120849

16.37328

14.741908

2407.11593

Colin Sterckx

Adolfo Guarino, Anik Rudra, Colin Sterckx and Mario Trigiante

Blackening S-folds

30 pages

null

hep-th

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

We construct the universal AdS$_{4}$ black hole that asymptotes to the $(\varphi,\chi)$-family of type IIB S-fold backgrounds dual to the conformal manifold of $\mathcal{N}=2$ S-fold CFT's. We present the explicit type IIB embedding of such a universal black hole for two particular asymptotics: the $\,\mathcal{N}=2\,$ S-fold with $\,\textrm{U}(2)\,$ symmetry at $\,(\varphi,\chi)=(0,0)\,$ and the $\,\mathcal{N}=4\,$ S-fold with $\,\textrm{SO}(4)\,$ symmetry at $\,(\varphi,\chi)=(1,0)$. As a byproduct, we also present a novel $1/16$-BPS two-parameter family of $\,\textrm{AdS}_{2} \times \textrm{M}_{8}\,$ S-fold backgrounds with $\,\textrm{M}_{8}=\mathbb{H}^{2} \times \textrm{S}^{5} \times \textrm{S}^{1}$ that features a parametrically-controlled scale separation.

[ { "created": "Tue, 16 Jul 2024 10:51:20 GMT", "version": "v1" }, { "created": "Thu, 18 Jul 2024 09:08:31 GMT", "version": "v2" } ]

2024-07-19

[ [ "Guarino", "Adolfo", "" ], [ "Rudra", "Anik", "" ], [ "Sterckx", "Colin", "" ], [ "Trigiante", "Mario", "" ] ]

We construct the universal AdS$_{4}$ black hole that asymptotes to the $(\varphi,\chi)$-family of type IIB S-fold backgrounds dual to the conformal manifold of $\mathcal{N}=2$ S-fold CFT's. We present the explicit type IIB embedding of such a universal black hole for two particular asymptotics: the $\,\mathcal{N}=2\,$ S-fold with $\,\textrm{U}(2)\,$ symmetry at $\,(\varphi,\chi)=(0,0)\,$ and the $\,\mathcal{N}=4\,$ S-fold with $\,\textrm{SO}(4)\,$ symmetry at $\,(\varphi,\chi)=(1,0)$. As a byproduct, we also present a novel $1/16$-BPS two-parameter family of $\,\textrm{AdS}_{2} \times \textrm{M}_{8}\,$ S-fold backgrounds with $\,\textrm{M}_{8}=\mathbb{H}^{2} \times \textrm{S}^{5} \times \textrm{S}^{1}$ that features a parametrically-controlled scale separation.

4.556242

4.054558

5.511917

4.167734

4.290946

4.111283

4.04567

4.161701

4.020293

5.225737

4.00905

4.351987

4.65794

4.376024

4.449134

4.423615

4.179931

4.412907

4.437322

4.775629

4.339668

1002.1462

Deepak Vaid

Embedding the Bilson-Thompson model in an LQG-like framework

10 pages, 8 figures

null

hep-th gr-qc

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

We argue that the Quadratic Spinor Lagrangian approach allows us to approach the problem of forming a geometrical condensate of spinorial tetrads in a natural manner. This, along with considerations involving the discrete symmetries of lattice triangulations, lead us to discover that the quasiparticles of such a condensate are tetrahedra with braids attached to its faces and that these braid attachments correspond to the preons in Bilson-Thompson's model of elementary particles. These "spatoms" can then be put together in a tiling to form more complex structures which encode both geometry and matter in a natural manner. We conclude with some speculations on the relation between this picture and the computational universe hypothesis.

[ { "created": "Mon, 8 Feb 2010 19:34:33 GMT", "version": "v1" } ]

2010-02-09

[ [ "Vaid", "Deepak", "" ] ]

We argue that the Quadratic Spinor Lagrangian approach allows us to approach the problem of forming a geometrical condensate of spinorial tetrads in a natural manner. This, along with considerations involving the discrete symmetries of lattice triangulations, lead us to discover that the quasiparticles of such a condensate are tetrahedra with braids attached to its faces and that these braid attachments correspond to the preons in Bilson-Thompson's model of elementary particles. These "spatoms" can then be put together in a tiling to form more complex structures which encode both geometry and matter in a natural manner. We conclude with some speculations on the relation between this picture and the computational universe hypothesis.

14.035818

16.647243

13.060787

13.441339

14.541377

15.617661

14.7619

14.192001

14.277927

15.611395

14.061445

13.303995

12.897329

13.396115

13.360679

13.752922

14.029903

13.186146

13.048123

13.462379

13.240497

hep-th/9210126

null

A. Borzi, A.Koubek

A Multi-Grid Method for the Resolution of Thermodynamic Bethe Ansatz Equations

SISSA-123/92/FM, 15pp

Comput.Phys.Commun. 74 (1993) 118-126; Comput.Phys.Commun. 75 (1993) 118-126

10.1016/0010-4655(93)90169-D

null

hep-th

null

We present a multi-grid algorithm in order to solve numerically the thermodynamic Bethe ansatz equations. We specifically adapt the program to compute the data of the conformal field theory reached in the ultraviolet limit. Submitted to Computer Physics Communications

[ { "created": "Fri, 23 Oct 1992 12:36:07 GMT", "version": "v1" } ]

2009-10-22

[ [ "Borzi", "A.", "" ], [ "Koubek", "A.", "" ] ]

We present a multi-grid algorithm in order to solve numerically the thermodynamic Bethe ansatz equations. We specifically adapt the program to compute the data of the conformal field theory reached in the ultraviolet limit. Submitted to Computer Physics Communications

15.226734

14.600223

20.110146

14.587682

13.293641

12.995767

17.091431

13.382318

13.521168

18.725368

14.184166

14.232934

15.611722

13.852737

13.949119

14.039517

13.819054

13.912012

14.117177

14.480828

15.207731

1012.3143

Mikhail A. Vasiliev

O.A. Gelfond, M.A. Vasiliev

Unfolded Equations for Current Interactions of 4d Massless Fields as a Free System in Mixed Dimensions

34 pages; V2: 42 pages, extended version contributed to the volume of JETP dedicated to 60th birthday of Valery Rubakov, Introduction extended, Section 3.2.2 on $AdS_4$ currents, Appendix D on trivial current interactions, and Acknowledgment added; V3: minor corrections

null

CERN-PH-TH/2010-300, FIAN/TD/2010-19

hep-th

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

Interactions of massless fields of all spins in four dimensions with currents of any spin is shown to result from a solution of the linear problem that describes a gluing between rank-one (massless) system and rank-two (current) system in the unfolded dynamics approach. Since the rank-two system is dual to a free rank-one higher-dimensional system, that effectively describes conformal fields in six space-time dimensions, the constructed system can be interpreted as describing a mixture between linear conformal fields in four and six dimensions. Interpretation of the obtained results in spirit of AdS/CFT correspondence is discussed.

[ { "created": "Tue, 14 Dec 2010 19:40:02 GMT", "version": "v1" }, { "created": "Mon, 8 Dec 2014 22:41:19 GMT", "version": "v2" }, { "created": "Thu, 2 Apr 2015 23:50:41 GMT", "version": "v3" } ]

2015-04-06

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

Interactions of massless fields of all spins in four dimensions with currents of any spin is shown to result from a solution of the linear problem that describes a gluing between rank-one (massless) system and rank-two (current) system in the unfolded dynamics approach. Since the rank-two system is dual to a free rank-one higher-dimensional system, that effectively describes conformal fields in six space-time dimensions, the constructed system can be interpreted as describing a mixture between linear conformal fields in four and six dimensions. Interpretation of the obtained results in spirit of AdS/CFT correspondence is discussed.

14.983709

13.566669

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13.445753

14.773202

17.271753

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12.452391

14.051653

12.694686

12.951469

12.552879

12.937402

12.982004

12.727088

13.948792

12.631614

0805.3198

Nikolay Pletnev

N.G. Pletnev

Hypermultiplet dependence of the effective action in ${\cal N}=2$ superconformal theories

contribution to the special volume, dedicated to sixtieth anniversary of Professor I.L. Buchbinder

null

hep-th

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

I review the approach [1] to the one-loop low-energy effective action in the hypermultiplet sector for N=2 superconformal models. Any such a model contains an N=2 vector multiplet and some number of hypermultiplets. We found a general expression for the low-energy effective action in the form of a proper-time integral. The leading space-time dependent contributions to the effective action are derived and their bosonic component structure is analyzed. The component action contains terms with three and four space-time derivatives of component fields and has the Chern-Simons-like form.

[ { "created": "Wed, 21 May 2008 05:06:41 GMT", "version": "v1" } ]

2008-05-22

[ [ "Pletnev", "N. G.", "" ] ]

I review the approach [1] to the one-loop low-energy effective action in the hypermultiplet sector for N=2 superconformal models. Any such a model contains an N=2 vector multiplet and some number of hypermultiplets. We found a general expression for the low-energy effective action in the form of a proper-time integral. The leading space-time dependent contributions to the effective action are derived and their bosonic component structure is analyzed. The component action contains terms with three and four space-time derivatives of component fields and has the Chern-Simons-like form.

9.741984

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7.788194

11.558506

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9.654953

8.755372

8.430368

8.19412

8.777448

8.914952

8.954932

9.455098

8.875438

hep-th/0512170

Bogdan Florea

Duiliu-Emanuel Diaconescu, Bogdan Florea, Shamit Kachru, Peter Svrcek

Gauge-Mediated Supersymmetry Breaking in String Compactifications

46 pages, 3 figures; v2: minor changes, references added

JHEP 0602:020,2006

10.1088/1126-6708/2006/02/020

null

hep-th

null

We provide string theory examples where a toy model of a SUSY GUT or the MSSM is embedded in a compactification along with a gauge sector which dynamically breaks supersymmetry. We argue that by changing microscopic details of the model (such as precise choices of flux), one can arrange for the dominant mediation mechanism transmitting SUSY breaking to the Standard Model to be either gravity mediation or gauge mediation. Systematic improvement of such examples may lead to top-down models incorporating a solution to the SUSY flavor problem.

[ { "created": "Thu, 15 Dec 2005 01:08:45 GMT", "version": "v1" }, { "created": "Fri, 23 Dec 2005 22:23:42 GMT", "version": "v2" } ]

2009-11-11

[ [ "Diaconescu", "Duiliu-Emanuel", "" ], [ "Florea", "Bogdan", "" ], [ "Kachru", "Shamit", "" ], [ "Svrcek", "Peter", "" ] ]

We provide string theory examples where a toy model of a SUSY GUT or the MSSM is embedded in a compactification along with a gauge sector which dynamically breaks supersymmetry. We argue that by changing microscopic details of the model (such as precise choices of flux), one can arrange for the dominant mediation mechanism transmitting SUSY breaking to the Standard Model to be either gravity mediation or gauge mediation. Systematic improvement of such examples may lead to top-down models incorporating a solution to the SUSY flavor problem.

14.603387

13.827748

15.004086

12.50875

13.558332

14.846037

12.896824

13.752424

13.38834

16.263416

13.42936

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13.394621

13.269686

13.427973

13.138882

13.431448

13.343892

13.337429

13.879542

13.459914

hep-th/0208187

Shahrokh Parvizi

Mohsen Alishahiha, Shahrokh Parvizi

Branes in Time-Dependent Backgrounds and AdS/CFT Correspondence

15 pages, latex file, v2: typos corrected, ref added, v3: references added, minor changes

JHEP 0210:047,2002

10.1088/1126-6708/2002/10/047

null

hep-th

null

We study supergravity solutions of Dp-branes in the time-dependent orbifold background. We show that worldvolume theories decouple from the bulk gravity for p less than six. Along AdS/CFT correspondence, these solutions could provide the gravity description of noncommutative field theory with time-dependent noncommutative parameter. Type II NS5-brane (M5-brane) in the presence of RR n-form for n=0,..., 4 (C field) in this time-dependent background have also been studied.

[ { "created": "Mon, 26 Aug 2002 13:20:08 GMT", "version": "v1" }, { "created": "Tue, 27 Aug 2002 13:13:11 GMT", "version": "v2" }, { "created": "Sat, 7 Sep 2002 12:03:41 GMT", "version": "v3" } ]

2014-11-18

[ [ "Alishahiha", "Mohsen", "" ], [ "Parvizi", "Shahrokh", "" ] ]

We study supergravity solutions of Dp-branes in the time-dependent orbifold background. We show that worldvolume theories decouple from the bulk gravity for p less than six. Along AdS/CFT correspondence, these solutions could provide the gravity description of noncommutative field theory with time-dependent noncommutative parameter. Type II NS5-brane (M5-brane) in the presence of RR n-form for n=0,..., 4 (C field) in this time-dependent background have also been studied.

11.15583

9.762907

13.772357

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9.462215

15.290614

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10.451477

10.179947

10.594062

10.144776

12.914622

10.0722

2012.07850

Anthony Houppe

Anthony Houppe and Nicholas P. Warner

Supersymmetry and Superstrata in Three Dimensions

37 pages; corrected typos and a sign in equation (2.67)

null

10.1007/JHEP08(2021)133

null

hep-th

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

We analyze the supersymmetry transformations of gauged $SO(4)$ supergravity coupled to extra hypermultiplets in three dimensions, and find large families of smooth BPS solutions that preserve four supersymmetries. These BPS solutions are part of the consistent truncation of some families of six-dimensional superstrata. From the three-dimensional perspective, these solutions give rise to "smoothly-capped BTZ" geometries. We show how the twisting of the spin connection, the holomorphy of the fields, and the Chern-Simons connections all play an essential role in the existence of these supersymmetric solutions. This paper also closes the circle on the consistent truncation of superstrata, showing precisely how every feature of the superstratum enters into the three-dimensional BPS structure.

[ { "created": "Mon, 14 Dec 2020 19:00:00 GMT", "version": "v1" }, { "created": "Wed, 5 May 2021 11:34:23 GMT", "version": "v2" } ]

2021-09-15

[ [ "Houppe", "Anthony", "" ], [ "Warner", "Nicholas P.", "" ] ]

We analyze the supersymmetry transformations of gauged $SO(4)$ supergravity coupled to extra hypermultiplets in three dimensions, and find large families of smooth BPS solutions that preserve four supersymmetries. These BPS solutions are part of the consistent truncation of some families of six-dimensional superstrata. From the three-dimensional perspective, these solutions give rise to "smoothly-capped BTZ" geometries. We show how the twisting of the spin connection, the holomorphy of the fields, and the Chern-Simons connections all play an essential role in the existence of these supersymmetric solutions. This paper also closes the circle on the consistent truncation of superstrata, showing precisely how every feature of the superstratum enters into the three-dimensional BPS structure.

10.742378

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