LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

0711.2201

Narit Pidokrajt

Jan E. Aman, Narit Pidokrajt, John Ward

On Geometro-thermodynamics of Dilaton Black Holes

Talk given at 30th Spanish Relativity Meeting (ERE 2007): Relativistic Astrophysics And Cosmology, 10-14 Sep 2007, Puerto de La Cruz, Tenerife, Spain. Typos corrected

EAS Publ.Ser.30:279,2008

10.1051/eas:0830044

USITP 07-02

hep-th gr-qc

null

In this talk we present the latest results from our ongoing project on geometro-thermodynamics (also known as information geometry of thermodynamics or Ruppeiner geometry) of dilaton BHs in 4D in both Einstein and string frames and a dyonic dilaton BH and at the end we report very briefly results from this approach to the 2D dilaton BHs.

[ { "created": "Wed, 14 Nov 2007 13:57:42 GMT", "version": "v1" }, { "created": "Sun, 18 Nov 2007 10:17:29 GMT", "version": "v2" } ]

2009-01-14

[ [ "Aman", "Jan E.", "" ], [ "Pidokrajt", "Narit", "" ], [ "Ward", "John", "" ] ]

In this talk we present the latest results from our ongoing project on geometro-thermodynamics (also known as information geometry of thermodynamics or Ruppeiner geometry) of dilaton BHs in 4D in both Einstein and string frames and a dyonic dilaton BH and at the end we report very briefly results from this approach to the 2D dilaton BHs.

13.094033

13.05045

13.742071

12.064466

12.582722

12.186558

14.101162

11.825895

11.577785

12.964809

12.048711

12.045253

11.670765

11.939107

11.983758

12.131039

12.473062

10.799604

12.186428

11.728073

11.639812

2203.10103

Stefano De Angelis

Lorenzo Bianchi, Stefano De Angelis, Marco Meineri

Radiation, entanglement and islands from a boundary local quench

44 pages, 16 figures; v2: extended discussion on the relative entropy bound, typos fixed, references added

SciPost Phys. 14, 148 (2023)

10.21468/SciPostPhys.14.6.148

null

hep-th

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

We study the entanglement and the energy density of the radiation emitted after a local quench in a boundary conformal field theory. We use the operator product expansion (OPE) to predict the early- and late-time behavior of the entanglement entropy and we find, under mild assumptions, a universal form for the leading term, which we test on some treatable two-dimensional examples. We also derive a general upper bound on the entanglement, valid along the full time evolution. In two dimensions, the bound is computed analytically, while in higher dimensions it is evaluated at early and late time via the OPE. These CFT predictions are then compared with a doubly-holographic setup where the CFT is interpreted as a reservoir for the radiation produced on an end-of-the-world brane. After finding the gravitational dual of a boundary local quench, we compute the time evolution of the holographic entanglement entropy, whose late-time behavior is in perfect agreement with the CFT predictions. In the brane+bath picture, unitarity of the time evolution is preserved thanks to the formation of an island. The holographic results can be recovered explicitly from the island formula, in the limit where the tension of the brane is close to the maximal value.

[ { "created": "Fri, 18 Mar 2022 18:00:02 GMT", "version": "v1" }, { "created": "Tue, 31 Jan 2023 12:50:34 GMT", "version": "v2" } ]

2023-06-07

[ [ "Bianchi", "Lorenzo", "" ], [ "De Angelis", "Stefano", "" ], [ "Meineri", "Marco", "" ] ]

We study the entanglement and the energy density of the radiation emitted after a local quench in a boundary conformal field theory. We use the operator product expansion (OPE) to predict the early- and late-time behavior of the entanglement entropy and we find, under mild assumptions, a universal form for the leading term, which we test on some treatable two-dimensional examples. We also derive a general upper bound on the entanglement, valid along the full time evolution. In two dimensions, the bound is computed analytically, while in higher dimensions it is evaluated at early and late time via the OPE. These CFT predictions are then compared with a doubly-holographic setup where the CFT is interpreted as a reservoir for the radiation produced on an end-of-the-world brane. After finding the gravitational dual of a boundary local quench, we compute the time evolution of the holographic entanglement entropy, whose late-time behavior is in perfect agreement with the CFT predictions. In the brane+bath picture, unitarity of the time evolution is preserved thanks to the formation of an island. The holographic results can be recovered explicitly from the island formula, in the limit where the tension of the brane is close to the maximal value.

7.78819

7.328844

8.24255

7.161323

7.779032

6.861672

7.148664

7.168756

6.644275

9.036524

6.934462

7.286604

7.82195

7.352448

7.53228

7.375143

7.259618

7.40517

7.495994

7.957336

7.382393

1401.4135

Wei He

Quasimodular instanton partition function and the elliptic solution of Korteweg-de Vries equations

19 pages, match the journal version

Annals of Physics 353(2015)150-162

10.1016/j.aop.2014.11.006

null

hep-th

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

The Gauge/Bethe correspondence relates Omega-deformed N=2 supersymmetric gauge theories to some quantum integrable models, in simple cases the integrable models can be treated as solvable quantum mechanics models. For SU(2) gauge theory with an adjoint matter, or with 4 fundamental matters, the potential of corresponding quantum model is the elliptic function. If the mass of matter takes special value then the potential is an elliptic solution of KdV hierarchy. We show that the deformed prepotential of gauge theory can be obtained from the average densities of conserved charges of the classical KdV solution, the UV gauge coupling dependence is assembled into the Eisenstein series. The gauge theory with adjoint mass is taken as the example.

[ { "created": "Thu, 16 Jan 2014 19:21:12 GMT", "version": "v1" }, { "created": "Tue, 28 Jan 2014 23:02:17 GMT", "version": "v2" }, { "created": "Wed, 30 Jul 2014 21:23:43 GMT", "version": "v3" }, { "created": "Mon, 8 Dec 2014 17:20:46 GMT", "version": "v4" } ]

2014-12-09

[ [ "He", "Wei", "" ] ]

The Gauge/Bethe correspondence relates Omega-deformed N=2 supersymmetric gauge theories to some quantum integrable models, in simple cases the integrable models can be treated as solvable quantum mechanics models. For SU(2) gauge theory with an adjoint matter, or with 4 fundamental matters, the potential of corresponding quantum model is the elliptic function. If the mass of matter takes special value then the potential is an elliptic solution of KdV hierarchy. We show that the deformed prepotential of gauge theory can be obtained from the average densities of conserved charges of the classical KdV solution, the UV gauge coupling dependence is assembled into the Eisenstein series. The gauge theory with adjoint mass is taken as the example.

13.647859

11.767586

14.569617

10.613677

11.26295

11.668495

11.659877

9.833472

11.430676

15.550735

10.988197

11.19172

12.43459

10.681341

11.211523

11.100707

11.360449

10.818041

11.143687

12.445169

10.846171

1712.02401

Ergin Sezgin

R. Aros, C. Iazeolla, J. Nore\~na, E. Sezgin, P. Sundell and Y. Yin

FRW and domain walls in higher spin gravity

63 pages

null

10.1007/JHEP03(2018)153

MI-TH-1772

hep-th

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

We present exact solutions to Vasiliev's bosonic higher spin gravity equations in four dimensions with positive and negative cosmological constant that admit an interpretation in terms of domain walls, quasi-instantons and Friedman-Robertson-Walker (FRW) backgrounds. Their isometry algebras are infinite dimensional higher-spin extensions of spacetime isometries generated by six Killing vectors. The solutions presented are obtained by using a method of holomorphic factorization in noncommutative twistor space and gauge functions. In interpreting the solutions in terms of Fronsdal-type fields in spacetime, a field-dependent higher spin transformation is required, which is implemented at leading order. To this order, the scalar field solves Klein-Gordon equation with conformal mass in (anti) de Sitter space. We interpret the FRW solution with de Sitter asymptotics in the context of inflationary cosmology and we expect that the domain wall and FRW solutions are associated with spontaneously broken scaling symmetries in their holographic description. We observe that the factorization method provides a convenient framework for setting up a perturbation theory around the exact solutions, and we propose that the nonlinear completion of particle excitations over FRW and domain wall solutions requires black hole-like states.

[ { "created": "Wed, 6 Dec 2017 20:20:45 GMT", "version": "v1" } ]

2018-04-18

[ [ "Aros", "R.", "" ], [ "Iazeolla", "C.", "" ], [ "Noreña", "J.", "" ], [ "Sezgin", "E.", "" ], [ "Sundell", "P.", "" ], [ "Yin", "Y.", "" ] ]

We present exact solutions to Vasiliev's bosonic higher spin gravity equations in four dimensions with positive and negative cosmological constant that admit an interpretation in terms of domain walls, quasi-instantons and Friedman-Robertson-Walker (FRW) backgrounds. Their isometry algebras are infinite dimensional higher-spin extensions of spacetime isometries generated by six Killing vectors. The solutions presented are obtained by using a method of holomorphic factorization in noncommutative twistor space and gauge functions. In interpreting the solutions in terms of Fronsdal-type fields in spacetime, a field-dependent higher spin transformation is required, which is implemented at leading order. To this order, the scalar field solves Klein-Gordon equation with conformal mass in (anti) de Sitter space. We interpret the FRW solution with de Sitter asymptotics in the context of inflationary cosmology and we expect that the domain wall and FRW solutions are associated with spontaneously broken scaling symmetries in their holographic description. We observe that the factorization method provides a convenient framework for setting up a perturbation theory around the exact solutions, and we propose that the nonlinear completion of particle excitations over FRW and domain wall solutions requires black hole-like states.

11.140517

10.979123

12.775356

10.820955

10.7727

10.1594

10.715745

11.062201

10.815953

13.315705

10.750226

10.928865

11.235572

10.951851

10.766548

10.704818

10.843525

11.154024

10.774033

11.136846

10.873884

0901.0259

Partouche Herve

Tristan Catelin-Jullien, Costas Kounnas, Herve Partouche and Nicolaos Toumbas

Induced superstring cosmologies and moduli stabilization

37 pages, 5 figures

Nucl.Phys.B820:290-316,2009

10.1016/j.nuclphysb.2009.05.023

LPTENS-08/42, CPHT-RR054.0708

hep-th gr-qc hep-ph

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

We extend the analysis of the recently obtained stringy cosmological solutions induced by thermal and quantum effects, once space-time supersymmetry is spontaneously broken by geometrical fluxes. Cases in which more than one modulus participating in the supersymmetry breaking mechanism are investigated. The free energy is obtained at the full string level. In the intermediate cosmological region where the temperature and the supersymmetry breaking scale are sufficiently smaller than the Hagedorn temperature, the quantum and thermal corrections are under control and calculable. The reason is that the contributions to the effective potential of the moduli that are not participating in the supersymmetry breaking are exponentially suppressed. The backreaction on the initially flat background results in many cases into cosmological evolutions, where the dynamics of all complex structure moduli is frozen. The solutions describe effectively a radiation dominated era, where thermal effects are never negligible, even if the temperature tends to zero at late times. We analyze several types of supersymmetry breaking patterns and examine the stability of the corresponding radiation era.

[ { "created": "Fri, 2 Jan 2009 17:45:53 GMT", "version": "v1" }, { "created": "Sun, 7 Jun 2009 13:07:40 GMT", "version": "v2" } ]

2009-07-22

[ [ "Catelin-Jullien", "Tristan", "" ], [ "Kounnas", "Costas", "" ], [ "Partouche", "Herve", "" ], [ "Toumbas", "Nicolaos", "" ] ]

We extend the analysis of the recently obtained stringy cosmological solutions induced by thermal and quantum effects, once space-time supersymmetry is spontaneously broken by geometrical fluxes. Cases in which more than one modulus participating in the supersymmetry breaking mechanism are investigated. The free energy is obtained at the full string level. In the intermediate cosmological region where the temperature and the supersymmetry breaking scale are sufficiently smaller than the Hagedorn temperature, the quantum and thermal corrections are under control and calculable. The reason is that the contributions to the effective potential of the moduli that are not participating in the supersymmetry breaking are exponentially suppressed. The backreaction on the initially flat background results in many cases into cosmological evolutions, where the dynamics of all complex structure moduli is frozen. The solutions describe effectively a radiation dominated era, where thermal effects are never negligible, even if the temperature tends to zero at late times. We analyze several types of supersymmetry breaking patterns and examine the stability of the corresponding radiation era.

11.773669

11.283046

12.452206

11.200852

11.888186

11.519451

11.070924

11.323888

11.393008

13.131853

10.69516

11.115522

11.637534

11.196054

10.971396

11.104441

11.063279

11.362214

11.163437

11.290376

10.938639

1801.01926

Yangwenxiao Zeng

Alejandra Castro, Victor Godet, Finn Larsen, Yangwenxiao Zeng

Logarithmic Corrections to Black Hole Entropy: the Non-BPS Branch

41 pages, 8 tables. v2: minor typos corrected, the version published on JHEP

null

10.1007/JHEP05(2018)079

null

hep-th

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

We compute the leading logarithmic correction to black hole entropy on the non-BPS branch of 4D ${\cal N}\geq 2$ supergravity theories. This branch corresponds to finite temperature black holes whose extremal limit does not preserve supersymmetry, such as the $D0-D6$ system in string theory. Starting from a black hole in minimal Kaluza-Klein theory, we discuss in detail its embedding into ${\cal N}=8, 6, 4, 2$ supergravity, its spectrum of quadratic fluctuations in all these environments, and the resulting quantum corrections. We find that the $c$-anomaly vanishes only when ${\cal N}\geq 6$, in contrast to the BPS branch where $c$ vanishes for all ${\cal N}\geq 2$. We briefly discuss potential repercussions this feature could have in a microscopic description of these black holes.

[ { "created": "Fri, 5 Jan 2018 21:39:33 GMT", "version": "v1" }, { "created": "Tue, 10 Jul 2018 17:22:28 GMT", "version": "v2" } ]

2018-07-11

[ [ "Castro", "Alejandra", "" ], [ "Godet", "Victor", "" ], [ "Larsen", "Finn", "" ], [ "Zeng", "Yangwenxiao", "" ] ]

We compute the leading logarithmic correction to black hole entropy on the non-BPS branch of 4D ${\cal N}\geq 2$ supergravity theories. This branch corresponds to finite temperature black holes whose extremal limit does not preserve supersymmetry, such as the $D0-D6$ system in string theory. Starting from a black hole in minimal Kaluza-Klein theory, we discuss in detail its embedding into ${\cal N}=8, 6, 4, 2$ supergravity, its spectrum of quadratic fluctuations in all these environments, and the resulting quantum corrections. We find that the $c$-anomaly vanishes only when ${\cal N}\geq 6$, in contrast to the BPS branch where $c$ vanishes for all ${\cal N}\geq 2$. We briefly discuss potential repercussions this feature could have in a microscopic description of these black holes.

6.226256

5.691638

6.778201

5.469926

5.904272

5.953422

5.612477

5.576656

5.648483

7.01023

5.78845

5.754748

6.201069

5.890548

5.860278

5.785573

5.905096

5.663836

5.881336

6.246706

5.77356

1309.7494

Takahiro Terada

Sergei V. Ketov and Takahiro Terada

Old-minimal supergravity models of inflation

LaTeX, 24 pages, no pictures; Sections 3 and 4 expanded, references added, typos corrected

JHEP12(2013)040

10.1007/JHEP12(2013)040

IPMU13-0185, UT-13-35

hep-th

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

We study three types of the old-minimal higher-derivative supergravity theories extending the $f(R)$ gravity, towards their use for the inflationary model building in supergravity, by using both superfields and their field components. In the curved superspace all those theories are described in terms of a single chiral scalar curvature superfeld $\mathcal{R}$. Each of those theories can be dualized into a matter-coupled supergravity without higher derivatives. The first type is parametrized by a single non-holomorphic potential $N(\mathcal{R},\bar{\mathcal{R}})$, and gives rise to the dual matter-coupled supergravities with two dynamical chiral matter superfields having a no-scale K\"ahler potential. We find that a generic potential $N(\mathcal{R},\bar{\mathcal{R}})$ generates both the $(R+R^2)$ gravity and the non-minimal coupling of the propagating complex scalar field to the $R$, needed for the Starobinsky and Higgs inflation, respectively. We find the general conditions for the Starobinsky inflation and compute the inflaton mass. The second type is given by the chiral supergravity actions whose superfield Lagrangian $F(\mathcal{R},\Sigma({\bar{\mathcal R}}))$ also depends upon the chiral projection $\Sigma$ of the anti-chiral superfield ${\bar{\mathcal R}}$. We find that the actions of the second type always give rise to ghosts. We also revisit the $F(\mathcal{R})$ supergravity actions of the third type (without the $\Sigma$-dependence) with the reduced number of the extra physical degrees of freedom, comprising a single chiral matter superfeld with a no-scale K\"ahler potential. We confirm that the pure $F(\mathcal{R})$ supergravity is insufficient for realization of the Starobinsky inflation, though by the reason different from those proposed in the recent literature.

[ { "created": "Sat, 28 Sep 2013 19:35:39 GMT", "version": "v1" }, { "created": "Tue, 19 Nov 2013 09:00:12 GMT", "version": "v2" } ]

2013-12-10

[ [ "Ketov", "Sergei V.", "" ], [ "Terada", "Takahiro", "" ] ]

We study three types of the old-minimal higher-derivative supergravity theories extending the $f(R)$ gravity, towards their use for the inflationary model building in supergravity, by using both superfields and their field components. In the curved superspace all those theories are described in terms of a single chiral scalar curvature superfeld $\mathcal{R}$. Each of those theories can be dualized into a matter-coupled supergravity without higher derivatives. The first type is parametrized by a single non-holomorphic potential $N(\mathcal{R},\bar{\mathcal{R}})$, and gives rise to the dual matter-coupled supergravities with two dynamical chiral matter superfields having a no-scale K\"ahler potential. We find that a generic potential $N(\mathcal{R},\bar{\mathcal{R}})$ generates both the $(R+R^2)$ gravity and the non-minimal coupling of the propagating complex scalar field to the $R$, needed for the Starobinsky and Higgs inflation, respectively. We find the general conditions for the Starobinsky inflation and compute the inflaton mass. The second type is given by the chiral supergravity actions whose superfield Lagrangian $F(\mathcal{R},\Sigma({\bar{\mathcal R}}))$ also depends upon the chiral projection $\Sigma$ of the anti-chiral superfield ${\bar{\mathcal R}}$. We find that the actions of the second type always give rise to ghosts. We also revisit the $F(\mathcal{R})$ supergravity actions of the third type (without the $\Sigma$-dependence) with the reduced number of the extra physical degrees of freedom, comprising a single chiral matter superfeld with a no-scale K\"ahler potential. We confirm that the pure $F(\mathcal{R})$ supergravity is insufficient for realization of the Starobinsky inflation, though by the reason different from those proposed in the recent literature.

6.298007

6.349329

6.656766

6.177989

6.3681

6.191603

6.350854

6.313841

6.030453

6.675043

6.079165

6.139826

6.172463

6.037535

5.916769

6.054181

6.17599

5.985252

5.989459

6.324467

6.04701

0911.3423

Jakub Lis

Q-balls in the regularized signum-Gordon model

17 pages, 3 figures

Acta Phys.Polon.B41:629-648,2010

null

hep-th

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

The regularized signum-Gordon potential has a smooth minimum and is linear in the modulus of the field value for higher amplitudes. The Q-ball solutions in this model are investigated. Their existence for charges large enough is demonstrated. In three dimensions numerical solutions are presented and the absolute stability of large Q-balls is proved. It is also shown, that the solutions of the regularized model approach uniformly the solution of the unregularized signum-Gordon model. From the stability of Q-balls in the regularized model follows the stability of the solutions in the original theory.

[ { "created": "Tue, 17 Nov 2009 22:35:08 GMT", "version": "v1" } ]

2010-09-16

[ [ "Lis", "Jakub", "" ] ]

The regularized signum-Gordon potential has a smooth minimum and is linear in the modulus of the field value for higher amplitudes. The Q-ball solutions in this model are investigated. Their existence for charges large enough is demonstrated. In three dimensions numerical solutions are presented and the absolute stability of large Q-balls is proved. It is also shown, that the solutions of the regularized model approach uniformly the solution of the unregularized signum-Gordon model. From the stability of Q-balls in the regularized model follows the stability of the solutions in the original theory.

11.303177

10.85223

11.13706

9.95687

11.206385

10.833914

11.862097

10.208145

10.861734

12.005188

9.595563

10.384001

11.268728

10.442904

10.818561

10.770291

10.900426

10.215403

11.20152

11.006955

10.925823

2010.08208

George Zahariade

Maulik Parikh, Frank Wilczek, George Zahariade

Signatures of the Quantization of Gravity at Gravitational Wave Detectors

34 pages, 1 figure

Phys. Rev. D 104, 046021 (2021)

10.1103/PhysRevD.104.046021

null

hep-th gr-qc

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

We develop a formalism to calculate the response of a model gravitational wave detector to a quantized gravitational field. Coupling a detector to a quantum field induces stochastic fluctuations ("noise") in the length of the detector arm. The statistical properties of this noise depend on the choice of quantum state of the gravitational field. We characterize the noise for vacuum, coherent, thermal, and squeezed states. For coherent states, corresponding to classical gravitational configurations, we find that the effect of gravitational field quantization is small. However, the standard deviation in the arm length can be enhanced -- possibly significantly -- when the gravitational field is in a non-coherent state. The detection of this fundamental noise could provide direct evidence for the quantization of gravity and for the existence of gravitons.

[ { "created": "Fri, 16 Oct 2020 07:35:56 GMT", "version": "v1" } ]

2021-08-25

[ [ "Parikh", "Maulik", "" ], [ "Wilczek", "Frank", "" ], [ "Zahariade", "George", "" ] ]

We develop a formalism to calculate the response of a model gravitational wave detector to a quantized gravitational field. Coupling a detector to a quantum field induces stochastic fluctuations ("noise") in the length of the detector arm. The statistical properties of this noise depend on the choice of quantum state of the gravitational field. We characterize the noise for vacuum, coherent, thermal, and squeezed states. For coherent states, corresponding to classical gravitational configurations, we find that the effect of gravitational field quantization is small. However, the standard deviation in the arm length can be enhanced -- possibly significantly -- when the gravitational field is in a non-coherent state. The detection of this fundamental noise could provide direct evidence for the quantization of gravity and for the existence of gravitons.

8.010495

7.774627

7.318345

7.169211

7.699915

7.1515

7.610587

7.296177

7.542136

7.515688

7.23095

7.770605

7.231354

7.12347

7.364684

7.307675

7.669618

7.31025

7.363985

7.422755

7.48648

hep-th/9512043

Pietro Fre

Pietro Fre' (Torino University)

Lectures on Special Kahler Geometry and Electric--Magnetic Duality Rotations

56 pages, LaTeX, article.sty, espcrc2.sty. Lecture notes at Trieste Spring School 1995

Nucl.Phys.Proc.Suppl. 45BC (1996) 59-114

10.1016/0920-5632(95)00629-X

null

hep-th

null

In these lectures I review the general structure of electric--magnetic duality rotations in every even space--time dimension. In four dimensions, which is my main concern, I discuss the general issue of symplectic covariance and how it relates to the typical geometric structures involved by N=2 supersymmetry, namely Special K\"ahler geometry for the vector multiplets and either HyperK\"ahler or Quaternionic geometry for the hypermultiplets. I discuss classical continuous dualities versus non--perturbative discrete dualities. How the moduli space geometry of an auxiliary dynamical Riemann surface (or Calabi--Yau threefold) relates to exact space--time dualities is exemplified in detail for the Seiberg Witten model of an $SU(2)$ gauge theory.

[ { "created": "Wed, 6 Dec 1995 23:37:22 GMT", "version": "v1" } ]

2009-10-28

[ [ "Fre'", "Pietro", "", "Torino University" ] ]

In these lectures I review the general structure of electric--magnetic duality rotations in every even space--time dimension. In four dimensions, which is my main concern, I discuss the general issue of symplectic covariance and how it relates to the typical geometric structures involved by N=2 supersymmetry, namely Special K\"ahler geometry for the vector multiplets and either HyperK\"ahler or Quaternionic geometry for the hypermultiplets. I discuss classical continuous dualities versus non--perturbative discrete dualities. How the moduli space geometry of an auxiliary dynamical Riemann surface (or Calabi--Yau threefold) relates to exact space--time dualities is exemplified in detail for the Seiberg Witten model of an $SU(2)$ gauge theory.

10.13596

9.066078

9.60729

8.744774

9.304171

9.598755

9.242982

8.499555

8.755725

11.684024

8.507715

8.624204

9.475368

8.209076

8.399682

8.822637

8.502301

8.719073

8.410517

9.483829

8.323223

0810.5377

Anzhong Wang

Qiang Wu, Yungui Gong, and Anzhong Wang

Brane cosmology in the Horava-Witten heterotic M-Theory on $S^{1}/Z_{2}$

Version published in JCAP, 06 (2009) 015

null

10.1088/1475-7516/2009/06/015

null

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

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

We study the radion stability and radion mass in the framework of the Horava-Witten (HW) heterotic M-Theory on $S^{1}/Z_{2}$, and find that the radion is stable and its mass can be of the order of GeV. The gravity is localized on the visible brane, and the spectrum of the gravitational Kaluza-Klein (KK) modes is discrete and can have a mass gap of TeV. The corrections to the 4D Newtonian potential from the higher order gravitational KK modes are exponentially suppressed. Applying such a setup to cosmology, we find the generalized Friedmann-like equations on each of the two orbifold branes.

[ { "created": "Wed, 29 Oct 2008 22:43:27 GMT", "version": "v1" }, { "created": "Wed, 18 Mar 2009 02:40:14 GMT", "version": "v2" }, { "created": "Thu, 21 May 2009 18:50:01 GMT", "version": "v3" }, { "created": "Sun, 18 Jul 2010 16:00:56 GMT", "version": "v4" } ]

2015-05-13

[ [ "Wu", "Qiang", "" ], [ "Gong", "Yungui", "" ], [ "Wang", "Anzhong", "" ] ]

We study the radion stability and radion mass in the framework of the Horava-Witten (HW) heterotic M-Theory on $S^{1}/Z_{2}$, and find that the radion is stable and its mass can be of the order of GeV. The gravity is localized on the visible brane, and the spectrum of the gravitational Kaluza-Klein (KK) modes is discrete and can have a mass gap of TeV. The corrections to the 4D Newtonian potential from the higher order gravitational KK modes are exponentially suppressed. Applying such a setup to cosmology, we find the generalized Friedmann-like equations on each of the two orbifold branes.

6.301916

5.538836

5.529488

5.3009

5.349339

5.726894

5.242552

5.482455

5.724922

6.677934

5.545602

5.666757

5.962492

5.690256

5.805754

5.625934

5.675889

5.610656

5.915098

6.127191

5.62144

0803.2518

Alikram Aliev

Alikram N. Aliev, Hakan Cebeci and Tekin Dereli

Kerr-Taub-NUT Spacetime with Maxwell and Dilaton Fields

13 pages, REVTeX

Phys.Rev.D77:124022,2008

10.1103/PhysRevD.77.124022

null

hep-th gr-qc

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

We present an exact solution describing a stationary and axisymmetric object with electromagnetic and dilaton fields. The solution generalizes the usual Kerr-Taub-NUT (Newman-Unti-Tamburino) spacetime in general relativity and is obtained by boosting this spacetime in the fifth dimension and performing a Kaluza-Klein reduction to four dimensions. We also discuss the physical parameters of this solution and calculate its gyromagnetic ratio.

[ { "created": "Mon, 17 Mar 2008 20:04:08 GMT", "version": "v1" } ]

2008-11-26

[ [ "Aliev", "Alikram N.", "" ], [ "Cebeci", "Hakan", "" ], [ "Dereli", "Tekin", "" ] ]

We present an exact solution describing a stationary and axisymmetric object with electromagnetic and dilaton fields. The solution generalizes the usual Kerr-Taub-NUT (Newman-Unti-Tamburino) spacetime in general relativity and is obtained by boosting this spacetime in the fifth dimension and performing a Kaluza-Klein reduction to four dimensions. We also discuss the physical parameters of this solution and calculate its gyromagnetic ratio.

7.515403

6.42891

5.849052

5.800565

6.792273

7.150254

7.188391

5.62465

6.753244

6.170269

6.288521

6.851289

6.59016

6.636095

6.898357

6.903834

6.808367

6.395748

6.86073

6.790381

6.813627

hep-th/0308164

Michael Thies

Analytical solution of the Gross-Neveu model at finite density

5 pages, no figures, revtex; vs2: appendix with analytical proof of self-consistency added

Phys.Rev. D69 (2004) 067703

10.1103/PhysRevD.69.067703

FAU-TP3-03/9

hep-th hep-ph

null

Recent numerical calculations have shown that the ground state of the Gross-Neveu model at finite density is a crystal. Guided by these results, we can now present the analytical solution to this problem in terms of elliptic functions. The scalar potential is the superpotential of the non-relativistic Lame Hamiltonian. This model can also serve as analytically solvable toy model for a relativistic superconductor in the Larkin-Ovchinnikov-Fulde-Ferrell phase.

[ { "created": "Mon, 25 Aug 2003 08:33:43 GMT", "version": "v1" }, { "created": "Wed, 24 Sep 2003 13:29:38 GMT", "version": "v2" } ]

2009-11-10

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

Recent numerical calculations have shown that the ground state of the Gross-Neveu model at finite density is a crystal. Guided by these results, we can now present the analytical solution to this problem in terms of elliptic functions. The scalar potential is the superpotential of the non-relativistic Lame Hamiltonian. This model can also serve as analytically solvable toy model for a relativistic superconductor in the Larkin-Ovchinnikov-Fulde-Ferrell phase.

8.520648

7.505467

7.769779

6.818385

6.988643

6.869755

7.351001

7.624893

6.871799

8.378912

7.171317

6.896006

7.731618

7.491299

7.033082

7.09515

7.110281

7.196882

7.364702

8.188148

7.541519

2012.15288

Sotirios Karamitsos

Kieran Finn, Sotirios Karamitsos and Apostolos Pilaftsis

Quantizing the Eisenhart Lift

29 pages; minor corrrections and clarifications; submitted to PRD

Phys. Rev. D 103, 065004 (2021)

10.1103/PhysRevD.103.065004

MAN/HEP/2020/14

hep-th hep-ph quant-ph

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

The classical Eisenhart lift is a method by which the dynamics of a classical system subject to a potential can be recreated by means of a free system evolving in a higher-dimensional curved manifold, known as the lifted manifold. We extend the formulation of the Eisenhart lift to quantum systems, and show that the lifted manifold recreates not only the classical effects of the potential, but also its quantum mechanical effects. In particular, we find that the solutions of the Schrodinger equations of the lifted system reduce to those of the original system after projecting out the new degrees of freedom. In this context, we identify a conserved quantum number, which corresponds to the lifted momentum of the classical system. We further apply the Eisenhart lift to Quantum Field Theory (QFT). We show that a lifted field space manifold is able to recreate both the classical and quantum effects of a scalar field potential. We find that, in the case of QFT, the analogue of the lifted momentum is a quantum charge that is conserved not only in time, but also in space. The different possible values for this charge label an ensemble of Fock spaces that are all disjoint from one another. The relevance of these extended Fock spaces to the cosmological constant and gauge hierarchy problems is considered.

[ { "created": "Wed, 30 Dec 2020 19:00:35 GMT", "version": "v1" }, { "created": "Tue, 12 Jan 2021 16:20:40 GMT", "version": "v2" } ]

2021-03-17

[ [ "Finn", "Kieran", "" ], [ "Karamitsos", "Sotirios", "" ], [ "Pilaftsis", "Apostolos", "" ] ]

The classical Eisenhart lift is a method by which the dynamics of a classical system subject to a potential can be recreated by means of a free system evolving in a higher-dimensional curved manifold, known as the lifted manifold. We extend the formulation of the Eisenhart lift to quantum systems, and show that the lifted manifold recreates not only the classical effects of the potential, but also its quantum mechanical effects. In particular, we find that the solutions of the Schrodinger equations of the lifted system reduce to those of the original system after projecting out the new degrees of freedom. In this context, we identify a conserved quantum number, which corresponds to the lifted momentum of the classical system. We further apply the Eisenhart lift to Quantum Field Theory (QFT). We show that a lifted field space manifold is able to recreate both the classical and quantum effects of a scalar field potential. We find that, in the case of QFT, the analogue of the lifted momentum is a quantum charge that is conserved not only in time, but also in space. The different possible values for this charge label an ensemble of Fock spaces that are all disjoint from one another. The relevance of these extended Fock spaces to the cosmological constant and gauge hierarchy problems is considered.

7.016963

7.070865

6.847619

6.870672

7.720115

7.30582

6.983612

6.803468

7.135863

7.369696

6.992888

6.835864

6.774803

6.590237

6.599153

6.731345

6.903735

6.564548

6.772626

6.791487

6.648021

1512.01640

Handhika Ramadhan

Handhika S. Ramadhan

Some exact BPS solutions for exotic vortices and monopoles

14 pages, no figure, accepted for publication in Phys. Lett. B

null

10.1016/j.physletb.2016.04.057

null

hep-th

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

We present several analytical solutions of BPS vortices and monopoles in the generalized Abelian Maxwell-Higgs and Yang-Mills-Higgs theories, respectively. These models have recently been extensively studied and several exact solutions have already been obtained in \cite{Casana:2014qfa, Casana:2013lna}. In each theory, the dynamics is controlled by the additional two positive scalar-field-dependent functions, $f(|\phi|)$ and $w(|\phi|)$. For the case of vortices, we work in the ordinary symmetry-breaking Higgs potential, while for the case of monopoles we have the ordinary condition of the Prasad-Sommerfield limit. Our results generalize that of exact solutions found previously. We also present solutions for BPS vortices with higher winding number. These solutions suffer from the condition that $w(|\phi|)$ has negative value at some finite range of $r$, but we argue that since it satisfies the weaker positive-value conditions then the corresponding energy density is still positive-definite and, thus, they are acceptable BPS solutions.

[ { "created": "Sat, 5 Dec 2015 08:55:33 GMT", "version": "v1" }, { "created": "Mon, 14 Dec 2015 06:43:08 GMT", "version": "v2" }, { "created": "Mon, 2 May 2016 08:24:45 GMT", "version": "v3" } ]

2016-06-22

[ [ "Ramadhan", "Handhika S.", "" ] ]

We present several analytical solutions of BPS vortices and monopoles in the generalized Abelian Maxwell-Higgs and Yang-Mills-Higgs theories, respectively. These models have recently been extensively studied and several exact solutions have already been obtained in \cite{Casana:2014qfa, Casana:2013lna}. In each theory, the dynamics is controlled by the additional two positive scalar-field-dependent functions, $f(|\phi|)$ and $w(|\phi|)$. For the case of vortices, we work in the ordinary symmetry-breaking Higgs potential, while for the case of monopoles we have the ordinary condition of the Prasad-Sommerfield limit. Our results generalize that of exact solutions found previously. We also present solutions for BPS vortices with higher winding number. These solutions suffer from the condition that $w(|\phi|)$ has negative value at some finite range of $r$, but we argue that since it satisfies the weaker positive-value conditions then the corresponding energy density is still positive-definite and, thus, they are acceptable BPS solutions.

9.489449

10.020396

10.148773

9.075367

10.145841

9.530546

10.352953

9.707862

9.373709

11.860006

9.81192

9.388049

9.857594

9.256163

9.361902

9.110783

9.264768

9.060025

9.113788

9.862561

9.437491

hep-th/0005157

Shinichi Horata

S.Horata, H.S.Egawa

Numerical Analysis of the Double Scaling Limit in the IIB Matrix Model

9pages, latex, 4 figures, uses psfig.sty, corrected some typos and references

null

10.1016/S0920-5632(01)00884-2

null

hep-th

null

The bosonic IIB matrix model is studied using a numerical method. This model contains the bosonic part of the IIB matrix model conjectured to be a non-perturbative definition of the type IIB superstring theory. The large N scaling behavior of the model is shown performing a Monte Carlo simulation. The expectation value of the Wilson loop operator is measured and the string tension is estimated. The numerical results show the prescription of the double scaling limit.

[ { "created": "Wed, 17 May 2000 13:39:52 GMT", "version": "v1" }, { "created": "Thu, 25 May 2000 12:01:19 GMT", "version": "v2" }, { "created": "Sun, 19 Nov 2000 14:00:44 GMT", "version": "v3" } ]

2009-10-31

[ [ "Horata", "S.", "" ], [ "Egawa", "H. S.", "" ] ]

The bosonic IIB matrix model is studied using a numerical method. This model contains the bosonic part of the IIB matrix model conjectured to be a non-perturbative definition of the type IIB superstring theory. The large N scaling behavior of the model is shown performing a Monte Carlo simulation. The expectation value of the Wilson loop operator is measured and the string tension is estimated. The numerical results show the prescription of the double scaling limit.

6.588651

6.553622

7.240492

5.758978

6.427609

6.116088

6.026588

5.950908

6.182477

8.450358

6.057514

6.535554

6.881034

6.494683

6.400666

6.204945

6.25934

6.345657

6.407063

7.116602

6.215952

1212.5365

Kiyoshi Shiraishi

Kac-Moody Symmetry in Hosotani Model

7 pages, no figure

Progress of Theoretical Physics 80 (1988) pp. 601--606

10.1143/PTP.80.601

null

hep-th

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

The symmetry of the massive tower of fields in higher-dimensional Yang-Mills theory compactified on a space-time of the form M_d x S^1 is clarified. The transformations form a loop algebra, a class of Kac-Moody algebras. Since the symmetry is spontaneously broken, vector fields "eat" Goldstone bosons and acquire masses. The field of zero-mass mode can also become massive provided that the field of the internal component develops a vacuum expectation value. The relation between the "restoration" of the symmetry in massive modes and the gauge transformation of the zero-mode vacuum field is discussed.

[ { "created": "Fri, 21 Dec 2012 09:14:22 GMT", "version": "v1" } ]

2012-12-24

[ [ "Shiraishi", "Kiyoshi", "" ] ]

The symmetry of the massive tower of fields in higher-dimensional Yang-Mills theory compactified on a space-time of the form M_d x S^1 is clarified. The transformations form a loop algebra, a class of Kac-Moody algebras. Since the symmetry is spontaneously broken, vector fields "eat" Goldstone bosons and acquire masses. The field of zero-mass mode can also become massive provided that the field of the internal component develops a vacuum expectation value. The relation between the "restoration" of the symmetry in massive modes and the gauge transformation of the zero-mode vacuum field is discussed.

12.981125

12.265831

12.945162

12.068851

13.435711

11.827251

13.286511

12.790973

11.308436

13.952766

12.035579

11.337396

11.978524

11.071806

11.907845

11.611438

11.382094

10.810179

11.757725

12.311909

11.400173

2404.13310

Lingxiao Long

Lingxiao Long and Yunguo Jiang

Solving the Spectral Problem via the Periodic Boundary Approximation in $\phi^6$ Theory

null

hep-th

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

In $\phi^6$ theory, the resonance scattering structure is triggered by the so-calls delocalized modes trapped between the $\bar{K}K$ pair. The frequencies and configurations of such modes depend on the $\bar{K}K$ half-separation 2$a$, can be derived from the Schr\"{o}dinger-like equation. We propose to use the periodic boundary conditions to connect the localized and delocalized modes, and use periodic boundary approximation (PBA) to solve the spectrum analytically. In detail, we derive the explicit form of frequencies, configurations and spectral wall locations of the delocalized modes. We test the analytical prediction with the numerical simulation of the Schr\"{o}dinger-like equation, and obtain astonishing agreement between them at the long separation regime.

[ { "created": "Sat, 20 Apr 2024 07:42:21 GMT", "version": "v1" } ]

2024-04-23

[ [ "Long", "Lingxiao", "" ], [ "Jiang", "Yunguo", "" ] ]

In $\phi^6$ theory, the resonance scattering structure is triggered by the so-calls delocalized modes trapped between the $\bar{K}K$ pair. The frequencies and configurations of such modes depend on the $\bar{K}K$ half-separation 2$a$, can be derived from the Schr\"{o}dinger-like equation. We propose to use the periodic boundary conditions to connect the localized and delocalized modes, and use periodic boundary approximation (PBA) to solve the spectrum analytically. In detail, we derive the explicit form of frequencies, configurations and spectral wall locations of the delocalized modes. We test the analytical prediction with the numerical simulation of the Schr\"{o}dinger-like equation, and obtain astonishing agreement between them at the long separation regime.

13.974424

13.332724

13.546733

13.17541

12.911934

12.928294

13.700856

12.628716

12.697522

16.140049

12.412784

12.202075

12.814401

12.458624

12.188857

12.379904

12.787887

11.910866

12.563156

12.992045

12.223811

1406.3952

Amaury Leonard

Claudio Bunster, Marc Henneaux, Sergio H\"ortner, Amaury Leonard

Supersymmetric electric-magnetic duality of hypergravity

null

Phys. Rev. D 90, 045029 (2014)

10.1103/PhysRevD.90.045029

null

hep-th

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

Hypergravity is the theory in which the graviton, of spin-2, has a supersymmetric partner of spin-5/2. There are "no-go" theorems that prevent interactions in these higher spin theories. However, it appears that one can circumvent them by bringing in an infinite tower of higher spin fields. With this possibility in mind, we study herein the electric-magnetic duality invariance of hypergravity. The analysis is carried out in detail for the free theory of the spin-(2,5/2) multiplet, and it is indicated how it may be extended to the infinite tower of higher spins. Interactions are not considered. The procedure is the same that was employed recently for the spin-(3/2,2) multiplet of supergravity. One introduces new potentials ("prepotentials") by solving the constraints of the Hamiltonian formulation. In terms of the prepotentials, the action is written in a form in which its electric-magnetic duality invariance is manifest. The prepotential action is local, but the spacetime invariance is not manifest. Just as for the spin-2 and spin-(3/2,2) cases, the gauge symmetries of the prepotential action take a form similar to those of the free conformal theory of the same multiplet. The automatic emergence of gauge conformal invariance out of demand of manifest duality invariance, is yet another evidence of the subtle interplay between duality invariance and spacetime symmetry. We also compare and contrast the formulation with that of the analogous spin-(1,3/2) multiplet.

[ { "created": "Mon, 16 Jun 2014 09:52:28 GMT", "version": "v1" } ]

2014-09-05

[ [ "Bunster", "Claudio", "" ], [ "Henneaux", "Marc", "" ], [ "Hörtner", "Sergio", "" ], [ "Leonard", "Amaury", "" ] ]

Hypergravity is the theory in which the graviton, of spin-2, has a supersymmetric partner of spin-5/2. There are "no-go" theorems that prevent interactions in these higher spin theories. However, it appears that one can circumvent them by bringing in an infinite tower of higher spin fields. With this possibility in mind, we study herein the electric-magnetic duality invariance of hypergravity. The analysis is carried out in detail for the free theory of the spin-(2,5/2) multiplet, and it is indicated how it may be extended to the infinite tower of higher spins. Interactions are not considered. The procedure is the same that was employed recently for the spin-(3/2,2) multiplet of supergravity. One introduces new potentials ("prepotentials") by solving the constraints of the Hamiltonian formulation. In terms of the prepotentials, the action is written in a form in which its electric-magnetic duality invariance is manifest. The prepotential action is local, but the spacetime invariance is not manifest. Just as for the spin-2 and spin-(3/2,2) cases, the gauge symmetries of the prepotential action take a form similar to those of the free conformal theory of the same multiplet. The automatic emergence of gauge conformal invariance out of demand of manifest duality invariance, is yet another evidence of the subtle interplay between duality invariance and spacetime symmetry. We also compare and contrast the formulation with that of the analogous spin-(1,3/2) multiplet.

6.869232

6.821906

7.333309

6.299531

6.610869

6.435425

6.626668

6.279507

6.458783

7.133853

6.291759

6.260892

6.618198

6.437192

6.249329

6.375354

6.313511

6.433638

6.408926

6.570771

6.481547

0811.4026

Stuart Raby

Ben Dundee, Stuart Raby and Akin Wingerter

Addendum to Reconciling Grand Unification with Strings by Anisotropic Compactifications

4 pages, addendum to arXiv:0805.4186[hep-th]

null

10.1103/PhysRevD.79.047901

null

hep-th

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

In a recent paper, by working in the orbifold GUT limit of the Heterotic string, we showed how one could accommodate gauge coupling unification in the "mini-landscape" models of Lebedev et al. Furthermore, it was shown how one of the solutions was consistent with the decoupling of other exotics with F=0. In this short addendum, we show that this solution is also consistent with D=0.

[ { "created": "Tue, 25 Nov 2008 08:05:47 GMT", "version": "v1" } ]

2009-11-13

[ [ "Dundee", "Ben", "" ], [ "Raby", "Stuart", "" ], [ "Wingerter", "Akin", "" ] ]

In a recent paper, by working in the orbifold GUT limit of the Heterotic string, we showed how one could accommodate gauge coupling unification in the "mini-landscape" models of Lebedev et al. Furthermore, it was shown how one of the solutions was consistent with the decoupling of other exotics with F=0. In this short addendum, we show that this solution is also consistent with D=0.

11.981353

11.144049

9.687531

9.498702

10.550858

10.447999

10.860557

9.707847

10.067811

10.26332

10.498104

9.456764

9.563764

9.563164

10.014884

9.818948

9.361523

9.587098

9.303687

9.962601

9.745365

1703.03462

Don N. Page

Anthropic Estimates for Many Parameters of Physics and Astronomy

18 pages, LaTeX, report number added and typo corrected for observed proton mass

null

Alberta Thy 1-17

hep-th gr-qc

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

Anthropic arguments of Carter, Carr, and Rees give two approximate power-law relations between the elementary charge e, the mass of the proton m_p, and the mass of the electron m_e in Planck units: m_p ~ e^{18}, m_e ~ e^{21}. A renormalization group argument of mine gives e^{-2} ~ -(10/pi)ln{m_p}. Combining this with the Carter-Carr-Rees relations gives e^2 ln{e} ~ -pi/180. Taking the exact solutions of these approximate equations gives values for e, m_p, and m_e whose logarithms have relative errors only 0.7%, 1.3%, and 1.0% respectively, without using as input the observed values of any parameters with potentially continuous ranges. One can then get anthropic estimates for the masses, sizes, luminosities, times, velocities, etc. for many other structures in physics and astronomy, from atoms to giraffes to the universe, as simple powers of the anthropic estimate for the elementary charge. For example, one gets an anthropic estimate for the real part of the logarithm of the dark energy density with a relative error of only 0.2%.

[ { "created": "Thu, 9 Mar 2017 21:00:01 GMT", "version": "v1" }, { "created": "Wed, 26 Apr 2017 17:36:59 GMT", "version": "v2" } ]

2017-04-27

[ [ "Page", "Don N.", "" ] ]

Anthropic arguments of Carter, Carr, and Rees give two approximate power-law relations between the elementary charge e, the mass of the proton m_p, and the mass of the electron m_e in Planck units: m_p ~ e^{18}, m_e ~ e^{21}. A renormalization group argument of mine gives e^{-2} ~ -(10/pi)ln{m_p}. Combining this with the Carter-Carr-Rees relations gives e^2 ln{e} ~ -pi/180. Taking the exact solutions of these approximate equations gives values for e, m_p, and m_e whose logarithms have relative errors only 0.7%, 1.3%, and 1.0% respectively, without using as input the observed values of any parameters with potentially continuous ranges. One can then get anthropic estimates for the masses, sizes, luminosities, times, velocities, etc. for many other structures in physics and astronomy, from atoms to giraffes to the universe, as simple powers of the anthropic estimate for the elementary charge. For example, one gets an anthropic estimate for the real part of the logarithm of the dark energy density with a relative error of only 0.2%.

9.717414

11.32456

9.652002

9.266132

11.055881

11.606411

11.274377

10.302667

9.623615

11.134212

10.102965

9.632691

9.351567

9.434591

9.712469

9.509694

9.886012

9.653913

9.466402

9.700905

9.394961

hep-th/9411208

null

Martin Markl

Models for Operads

33 pages, LaTeX, article 12pt style, no figures

null

hep-th math.QA q-alg

null

We study properties of differential graded (dg) operads modulo weak equivalences, that is, modulo the relation given by the existence of a chain of dg operad maps inducing a homology isomorphism. This approach, naturally arising in string theory, leads us to consider various versions of models. Besides of some applications in topology and homological algebra we show that our theory enables one to prove the existence of homotopy structures on physically relevant spaces. For example, we prove that a closed string-field theory induces a homotopy Lie algebra structure on the space of relative states, which is one of main results of T. Kimura, A. Voronov and J. Stasheff (see [16]). Our theory gives a systematic way to prove statements of this type. The paper is a corrected version of a preprint which began to circulate in March 1994, with some new examples added.

[ { "created": "Tue, 29 Nov 1994 00:05:19 GMT", "version": "v1" } ]

2008-02-03

[ [ "Markl", "Martin", "" ] ]

We study properties of differential graded (dg) operads modulo weak equivalences, that is, modulo the relation given by the existence of a chain of dg operad maps inducing a homology isomorphism. This approach, naturally arising in string theory, leads us to consider various versions of models. Besides of some applications in topology and homological algebra we show that our theory enables one to prove the existence of homotopy structures on physically relevant spaces. For example, we prove that a closed string-field theory induces a homotopy Lie algebra structure on the space of relative states, which is one of main results of T. Kimura, A. Voronov and J. Stasheff (see [16]). Our theory gives a systematic way to prove statements of this type. The paper is a corrected version of a preprint which began to circulate in March 1994, with some new examples added.

9.058619

9.641531

10.608911

9.538598

9.296592

9.577429

10.690969

9.891856

9.49066

11.916425

9.237935

9.056186

9.828942

9.266011

9.42696

9.015586

9.141936

9.402427

9.255954

10.03614

8.917877

hep-th/9512075

Ivan T. Ivanov

I.T.Ivanov, M.Rocek

Supersymmetric sigma-models, twistors, and the Atiyah-Hitchin metric

ams-latex, 17 pages, 1 figure, ps-version with blackboard bold fonts available at http://www.physics.sunysb.edu/~iti/papers/new/index.html, in the corrected version non-essential typos in three formulas are removed

Commun.Math.Phys. 182 (1996) 291-302

10.1007/BF02517891

ITP-SB-95-54

hep-th dg-ga math.DG

null

The Legendre transform and its generalizations, originally found in supersymmetric sigma-models, are techniques that can be used to give constructions of hyperkahler metrics. We give a twistor space interpretation to the generalizations of the Legendre transform construction. The Atiyah-Hitchin metric on the moduli space of two monopoles is used as a detailed example.

[ { "created": "Mon, 11 Dec 1995 18:41:40 GMT", "version": "v1" }, { "created": "Tue, 19 Dec 1995 15:47:15 GMT", "version": "v2" } ]

2009-10-28

[ [ "Ivanov", "I. T.", "" ], [ "Rocek", "M.", "" ] ]

The Legendre transform and its generalizations, originally found in supersymmetric sigma-models, are techniques that can be used to give constructions of hyperkahler metrics. We give a twistor space interpretation to the generalizations of the Legendre transform construction. The Atiyah-Hitchin metric on the moduli space of two monopoles is used as a detailed example.

9.936587

7.845562

11.032974

8.372205

7.715374

8.457627

7.563727

8.43434

8.125867

11.139527

8.220398

8.945562

10.305125

8.805003

8.704827

8.741284

8.758918

9.005147

9.033652

9.591805

8.725657

0908.1069

Anna Ceresole T

Anna Ceresole, Sergio Ferrara and Alessandra Gnecchi

5d/4d U-dualities and N=8 black holes

23 pages, LaTeX; some notations cleared up; final version on Phys. Rev. D

Phys.Rev.D80:125033,2009

10.1103/PhysRevD.80.125033

CERN-PH-TH/2009-150, DFPD-09/TH/16

hep-th

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

We use the connection between the U-duality groups in d=5 and d=4 to derive properties of the N=8 black hole potential and its critical points (attractors). This approach allows to study and compare the supersymmetry features of different solutions.

[ { "created": "Fri, 7 Aug 2009 19:02:06 GMT", "version": "v1" }, { "created": "Mon, 31 Aug 2009 18:19:36 GMT", "version": "v2" }, { "created": "Tue, 26 Jan 2010 17:52:50 GMT", "version": "v3" } ]

2010-01-26

[ [ "Ceresole", "Anna", "" ], [ "Ferrara", "Sergio", "" ], [ "Gnecchi", "Alessandra", "" ] ]

We use the connection between the U-duality groups in d=5 and d=4 to derive properties of the N=8 black hole potential and its critical points (attractors). This approach allows to study and compare the supersymmetry features of different solutions.

14.984984

11.562238

18.892536

12.149346

12.39012

10.636666

12.219301

11.976363

11.477145

16.332409

11.34274

13.188924

14.660766

13.224187

13.495621

13.267844

12.69544

12.803315

12.682467

13.890532

11.942467

hep-th/0603109

Matthias Blau

Matthias Blau, Denis Frank, Sebastian Weiss

Fermi Coordinates and Penrose Limits

25 pages

Class.Quant.Grav.23:3993-4010,2006

10.1088/0264-9381/23/11/020

null

hep-th gr-qc

null

We propose a formulation of the Penrose plane wave limit in terms of null Fermi coordinates. This provides a physically intuitive (Fermi coordinates are direct measures of geodesic distance in space-time) and manifestly covariant description of the expansion around the plane wave metric in terms of components of the curvature tensor of the original metric, and generalises the covariant description of the lowest order Penrose limit metric itself, obtained in hep-th/0312029. We describe in some detail the construction of null Fermi coordinates and the corresponding expansion of the metric, and then study various aspects of the higher order corrections to the Penrose limit. In particular, we observe that in general the first-order corrected metric is such that it admits a light-cone gauge description in string theory. We also establish a formal analogue of the Weyl tensor peeling theorem for the Penrose limit expansion in any dimension, and we give a simple derivation of the leading (quadratic) corrections to the Penrose limit of AdS_5 x S^5.

[ { "created": "Tue, 14 Mar 2006 12:52:38 GMT", "version": "v1" } ]

2009-11-11

[ [ "Blau", "Matthias", "" ], [ "Frank", "Denis", "" ], [ "Weiss", "Sebastian", "" ] ]

We propose a formulation of the Penrose plane wave limit in terms of null Fermi coordinates. This provides a physically intuitive (Fermi coordinates are direct measures of geodesic distance in space-time) and manifestly covariant description of the expansion around the plane wave metric in terms of components of the curvature tensor of the original metric, and generalises the covariant description of the lowest order Penrose limit metric itself, obtained in hep-th/0312029. We describe in some detail the construction of null Fermi coordinates and the corresponding expansion of the metric, and then study various aspects of the higher order corrections to the Penrose limit. In particular, we observe that in general the first-order corrected metric is such that it admits a light-cone gauge description in string theory. We also establish a formal analogue of the Weyl tensor peeling theorem for the Penrose limit expansion in any dimension, and we give a simple derivation of the leading (quadratic) corrections to the Penrose limit of AdS_5 x S^5.

8.470112

8.771682

9.130912

8.035915

8.519603

8.896418

7.989907

8.515298

8.217858

9.963613

8.304789

8.119925

8.873762

8.173497

8.499548

8.441682

8.116217

8.316543

8.094188

8.58686

8.278555

2310.07965

Yiwen Pan

Satoshi Nawata, Yiwen Pan, and Jiahao Zheng

Class $\mathcal{S}$ on $S^2$

v1, 67 pages, 22 figures; v2, reference added, modified results with corrected R-charges; v3, some central charge computations corrected

null

hep-th math-ph math.MP

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

We study 2d $\mathcal{N}=(0,2)$ and $\mathcal{N}=(0,4)$ theories derived from compactifying class $\mathcal{S}$ theories on $S^2$ with a topological twist. We present concise expressions for the elliptic genera of both classes of theories, revealing the TQFT structure on Riemann surfaces $C_{g,n}$. Furthermore, our study highlights the relationship between the left-moving sector of the (0,2) theory and the chiral algebra of the 4d $\mathcal{N}=2$ theory. Notably, we propose that the (0,2) elliptic genus of a theory of this class can be expressed as a linear combination of characters of the corresponding chiral algebra.

[ { "created": "Thu, 12 Oct 2023 01:03:09 GMT", "version": "v1" }, { "created": "Wed, 1 Nov 2023 07:30:52 GMT", "version": "v2" }, { "created": "Thu, 23 May 2024 09:47:02 GMT", "version": "v3" } ]

2024-05-24

[ [ "Nawata", "Satoshi", "" ], [ "Pan", "Yiwen", "" ], [ "Zheng", "Jiahao", "" ] ]

We study 2d $\mathcal{N}=(0,2)$ and $\mathcal{N}=(0,4)$ theories derived from compactifying class $\mathcal{S}$ theories on $S^2$ with a topological twist. We present concise expressions for the elliptic genera of both classes of theories, revealing the TQFT structure on Riemann surfaces $C_{g,n}$. Furthermore, our study highlights the relationship between the left-moving sector of the (0,2) theory and the chiral algebra of the 4d $\mathcal{N}=2$ theory. Notably, we propose that the (0,2) elliptic genus of a theory of this class can be expressed as a linear combination of characters of the corresponding chiral algebra.

4.837244

4.033864

5.313591

4.18021

4.261178

4.0152

4.388544

4.141741

4.057453

5.286244

4.344492

4.47804

4.857826

4.433445

4.433013

4.47537

4.363556

4.397191

4.41255

4.838038

4.459756

0806.1420

Changhyun Ahn

Holographic Supergravity Dual to Three Dimensional N=2 Gauge Theory

17 pp; the first paragraph in section 3 added, the pages 5, 6, 7 improved, the footnotes 8, 11 added and to appear in JHEP

JHEP 0808:083,2008

10.1088/1126-6708/2008/08/083

null

hep-th

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

By examining the previously known holographic N=2 supersymmetric renormalization group flow solution in four dimensions, we describe the mass-deformed Bagger-Lambert theory, that has SU(3)_I x U(1)_R symmetry, by the addition of mass term for one of the four adjoint chiral superfields as its dual theory. A further detailed correspondence between fields of AdS_4 supergravity and composite operators of the infrared field theory is obtained.

[ { "created": "Mon, 9 Jun 2008 10:51:21 GMT", "version": "v1" }, { "created": "Fri, 8 Aug 2008 23:12:29 GMT", "version": "v2" } ]

2009-12-10

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

By examining the previously known holographic N=2 supersymmetric renormalization group flow solution in four dimensions, we describe the mass-deformed Bagger-Lambert theory, that has SU(3)_I x U(1)_R symmetry, by the addition of mass term for one of the four adjoint chiral superfields as its dual theory. A further detailed correspondence between fields of AdS_4 supergravity and composite operators of the infrared field theory is obtained.

13.081877

8.93774

14.311521

10.668771

9.416571

9.662522

9.704124

9.64612

10.310979

13.740862

10.822062

10.679723

13.013206

11.475791

10.81163

11.29165

10.71258

11.681976

10.648725

12.315825

11.49462

hep-th/9312019

Hsato

H.-T. Sato

Quantum Group Symmetry and Quantum Hall Wavefunctions on a Torus

9 pages, OS-GE-39-93

Mod. Phys. Lett. A9 (1994) 1819

10.1142/S0217732394001672

null

hep-th

null

We find a quantum group structure in two-dimensional motion of nonrelativistic electrons in a uniform magnetic field on a torus. The representation basis of the quantum algebra is composed of the quantum Hall wavefunctions proposed by Haldane-Rezayi at the Landau-level filling factor $\nu=1/m$ ($m$ odd). It is also shown that the quantum group symmetry is relevant to the degenerate Landau states and the deformation parameter of the quantum algebra is given by the filling factor.

[ { "created": "Fri, 3 Dec 1993 07:10:58 GMT", "version": "v1" } ]

2015-06-26

[ [ "Sato", "H. -T.", "" ] ]

We find a quantum group structure in two-dimensional motion of nonrelativistic electrons in a uniform magnetic field on a torus. The representation basis of the quantum algebra is composed of the quantum Hall wavefunctions proposed by Haldane-Rezayi at the Landau-level filling factor $\nu=1/m$ ($m$ odd). It is also shown that the quantum group symmetry is relevant to the degenerate Landau states and the deformation parameter of the quantum algebra is given by the filling factor.

8.603025

7.453267

9.716008

7.55065

7.10537

7.671653

7.206011

6.735023

7.184504

10.063285

7.840397

7.592465

8.354589

8.06111

7.994086

7.793305

7.948921

7.539267

8.247837

8.916354

7.548431

hep-th/0008180

Pablo Rafael Mora

Pablo Mora (U. of Maryland an U. de la Republica, Uruguay)

Chern-Simons Supersymmetric Branes

14 pages, LaTex

Nucl.Phys. B594 (2001) 229-242

10.1016/S0550-3213(00)00649-0

UMDEPP 01-006

hep-th

null

In this paper we continue the study of the model proposed in the previous paper hep-th/0002077. The model consist of a system of extended objects of diverse dimensionalities, with or without boundaries, with actions of the Chern-Simons form for a supergroup. We also discuss possible connections with Superstring/M-theory.

[ { "created": "Wed, 23 Aug 2000 00:58:31 GMT", "version": "v1" } ]

2009-10-31

[ [ "Mora", "Pablo", "", "U. of Maryland an U. de la Republica, Uruguay" ] ]

In this paper we continue the study of the model proposed in the previous paper hep-th/0002077. The model consist of a system of extended objects of diverse dimensionalities, with or without boundaries, with actions of the Chern-Simons form for a supergroup. We also discuss possible connections with Superstring/M-theory.

14.206003

11.201797

13.044309

10.953589

11.115181

11.419374

10.689271

10.326107

10.598165

14.319951

11.095263

10.744215

12.172765

11.101724

11.085291

11.508361

10.87077

11.496089

11.048995

11.971955

11.198914

1302.1869

Stephan Steinfurt

Johanna Erdmenger, Stephan Steinfurt (Munich, Max Planck Inst.)

A universal fermionic analogue of the shear viscosity

29 pages, v2: argument in section 2.5 expanded, references added

null

MPP-2013-10

hep-th hep-ph

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

We holographically compute supercharge diffusion constants in supersymmetric field theories, dual to AdS black brane solutions of arbitrary dimension. This includes the extension of earlier work by Kontoudi and Policastro for D3-branes to M2- and M5-brane theories. We consider the case of vanishing chemical potential. In particular, we relate the product of a diffusion constant and the energy density to a universal result for the fermionic absorption cross section. This relation is analogous to the famous proof of universality of $\eta / s$. We calculate the diffusion constants in two different ways: First, the computation is performed via the low frequency, low momentum pole of the correlator of supersymmetry currents. This pole describes the hydrodynamic phonino mode, the massless Goldstone fermion of spontaneous supersymmetry breaking by temperature. Second, the calculation is carried out using the dual transversal mode of the bulk gravitino, with the help of a new Kubo formula. Moreover, we provide some evidence for the applicability of generalized dimensional reduction for fermions when computing the corresponding D$p$-brane diffusion constants.

[ { "created": "Thu, 7 Feb 2013 21:00:01 GMT", "version": "v1" }, { "created": "Wed, 19 Jun 2013 08:41:02 GMT", "version": "v2" } ]

2013-06-20

[ [ "Erdmenger", "Johanna", "", "Munich, Max Planck Inst." ], [ "Steinfurt", "Stephan", "", "Munich, Max Planck Inst." ] ]

We holographically compute supercharge diffusion constants in supersymmetric field theories, dual to AdS black brane solutions of arbitrary dimension. This includes the extension of earlier work by Kontoudi and Policastro for D3-branes to M2- and M5-brane theories. We consider the case of vanishing chemical potential. In particular, we relate the product of a diffusion constant and the energy density to a universal result for the fermionic absorption cross section. This relation is analogous to the famous proof of universality of $\eta / s$. We calculate the diffusion constants in two different ways: First, the computation is performed via the low frequency, low momentum pole of the correlator of supersymmetry currents. This pole describes the hydrodynamic phonino mode, the massless Goldstone fermion of spontaneous supersymmetry breaking by temperature. Second, the calculation is carried out using the dual transversal mode of the bulk gravitino, with the help of a new Kubo formula. Moreover, we provide some evidence for the applicability of generalized dimensional reduction for fermions when computing the corresponding D$p$-brane diffusion constants.

11.228784

11.647988

13.180243

11.012336

11.901127

12.374512

11.457931

11.510929

11.062572

15.25794

11.256248

10.888485

11.625998

11.301544

11.209329

11.023559

11.234267

11.15374

11.006654

11.387165

11.047787

0809.1674

Marco Rauch

Babak Haghighat, Albrecht Klemm, Marco Rauch

Integrability of the holomorphic anomaly equations

47 pages, 3 figures; v2: fixed typos, added journal-ref

JHEP 0810:097,2008

10.1088/1126-6708/2008/10/097

BONN-TH-2008-10

hep-th

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

We show that modularity and the gap condition make the holomorphic anomaly equation completely integrable for non-compact Calabi-Yau manifolds. This leads to a very efficient formalism to solve the topological string on these geometries in terms of almost holomorphic modular forms. The formalism provides in particular holomorphic expansions everywhere in moduli space including large radius points, the conifold loci, Seiberg-Witten points and the orbifold points. It can be also viewed as a very efficient method to solve higher genus closed string amplitudes in the $\frac{1}{N^2}$ expansion of matrix models with more then one cut.

[ { "created": "Wed, 10 Sep 2008 13:45:24 GMT", "version": "v1" }, { "created": "Thu, 30 Oct 2008 11:19:30 GMT", "version": "v2" } ]

2011-07-19

[ [ "Haghighat", "Babak", "" ], [ "Klemm", "Albrecht", "" ], [ "Rauch", "Marco", "" ] ]

We show that modularity and the gap condition make the holomorphic anomaly equation completely integrable for non-compact Calabi-Yau manifolds. This leads to a very efficient formalism to solve the topological string on these geometries in terms of almost holomorphic modular forms. The formalism provides in particular holomorphic expansions everywhere in moduli space including large radius points, the conifold loci, Seiberg-Witten points and the orbifold points. It can be also viewed as a very efficient method to solve higher genus closed string amplitudes in the $\frac{1}{N^2}$ expansion of matrix models with more then one cut.

8.281077

6.868712

9.732407

7.193507

8.338582

7.779225

7.349257

7.394047

7.539139

11.153961

7.246238

7.493837

8.11534

7.562436

7.268856

7.591815

7.198302

7.819058

7.594265

8.357194

7.353272

0707.2013

Rong-Gen Cai

Rong-Gen Cai, Nobuyoshi Ohta

Deconfinement Transition of AdS/QCD at ${\cal O}(\alpha'^3)$

Latex, 14 pages; v2: the version to appear in PRD

Phys.Rev.D76:106001,2007

10.1103/PhysRevD.76.106001

KU-TP 013

hep-th gr-qc hep-ph

null

We study the confinement/deconfinement phase transition of holographic AdS/QCD models by using Ricci flat $AdS_5$ black holes up to ${\cal O}(\alpha'^3)$, which corresponds to the $\lambda$ expansion correction in the dual field theory to $\lambda^{-3/2}$, where $\lambda$ is the 't Hooft coupling constant. We consider two cases: one is the hard-wall AdS/QCD model where a small radius region of the $AdS_5$ is removed; the other is the case where one of spatial coordinates for the $AdS_5$ space is compactified, resulting in Witten's QCD model in 2+1 dimensions. We find that in the hard-wall AdS/QCD model, the deconfinement temperature decreases when the $\lambda$ expansion corrections are taken into account, while in Witten's QCD model, the deconfinement transition always happens when the ratio of inverse temperature $\beta$ to the period $\beta_s$ of the compactified coordinate decreases to one, $\beta/\beta_s=1$, the same as the case without the ${\cal O}(\alpha'^3)$ correction.

[ { "created": "Fri, 13 Jul 2007 15:31:21 GMT", "version": "v1" }, { "created": "Mon, 24 Sep 2007 13:04:43 GMT", "version": "v2" } ]

2008-11-26

[ [ "Cai", "Rong-Gen", "" ], [ "Ohta", "Nobuyoshi", "" ] ]

We study the confinement/deconfinement phase transition of holographic AdS/QCD models by using Ricci flat $AdS_5$ black holes up to ${\cal O}(\alpha'^3)$, which corresponds to the $\lambda$ expansion correction in the dual field theory to $\lambda^{-3/2}$, where $\lambda$ is the 't Hooft coupling constant. We consider two cases: one is the hard-wall AdS/QCD model where a small radius region of the $AdS_5$ is removed; the other is the case where one of spatial coordinates for the $AdS_5$ space is compactified, resulting in Witten's QCD model in 2+1 dimensions. We find that in the hard-wall AdS/QCD model, the deconfinement temperature decreases when the $\lambda$ expansion corrections are taken into account, while in Witten's QCD model, the deconfinement transition always happens when the ratio of inverse temperature $\beta$ to the period $\beta_s$ of the compactified coordinate decreases to one, $\beta/\beta_s=1$, the same as the case without the ${\cal O}(\alpha'^3)$ correction.

4.851202

4.686155

5.118986

4.516449

4.855346

4.704645

4.837482

4.569001

4.514089

5.320242

4.753886

4.679996

4.907777

4.663507

4.827237

4.636854

4.772689

4.584467

4.741126

4.864707

4.651993

1109.4254

Mehmet Akyol

Mehmet Akyol, George Papadopoulos

Topology and geometry of 6-dimensional (1,0) supergravity black hole horizons

20 pages; minor corrections, some references added

Class. Quantum Grav. 29 (2012) 055002

10.1088/0264-9381/29/5/055002

null

hep-th gr-qc math.DG

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

We show that the supersymmetric near horizon black hole geometries of 6-dimensional supergravity coupled to any number of scalar and tensor multiplets are either locally $AdS_3\times \Sigma^3$, where \Sigma^3 is a homology 3-sphere, or $\bR^{1,1}\times {\cal S}^4$, where ${\cal S}^4$ is a 4-manifold whose geometry depends on the hypermultiplet scalars. In both cases, we find that the tensorini multiplet scalars are constant and the associated 3-form field strengths vanish. We also demonstrate that the $AdS_3\times \Sigma^3$ horizons preserve 2, 4 and 8 supersymmetries. For horizons with 4 supersymmetries, \Sigma^3 is in addition a non-trivial circle fibration over a topological 2-sphere. The near horizon geometries preserving 8 supersymmetries are locally isometric to either $AdS_3\times S^3$ or $\bR^{1,1}\times T^4$. Moreover, we show that the $\bR^{1,1}\times {\cal S}$ horizons preserve 1, 2 and 4 supersymmetries and the geometry of ${\cal S}$ is Riemann, K\"ahler and hyper-K\"ahler, respectively.

[ { "created": "Tue, 20 Sep 2011 09:36:20 GMT", "version": "v1" }, { "created": "Fri, 27 Jan 2012 16:34:42 GMT", "version": "v2" } ]

2012-02-16

[ [ "Akyol", "Mehmet", "" ], [ "Papadopoulos", "George", "" ] ]

We show that the supersymmetric near horizon black hole geometries of 6-dimensional supergravity coupled to any number of scalar and tensor multiplets are either locally $AdS_3\times \Sigma^3$, where \Sigma^3 is a homology 3-sphere, or $\bR^{1,1}\times {\cal S}^4$, where ${\cal S}^4$ is a 4-manifold whose geometry depends on the hypermultiplet scalars. In both cases, we find that the tensorini multiplet scalars are constant and the associated 3-form field strengths vanish. We also demonstrate that the $AdS_3\times \Sigma^3$ horizons preserve 2, 4 and 8 supersymmetries. For horizons with 4 supersymmetries, \Sigma^3 is in addition a non-trivial circle fibration over a topological 2-sphere. The near horizon geometries preserving 8 supersymmetries are locally isometric to either $AdS_3\times S^3$ or $\bR^{1,1}\times T^4$. Moreover, we show that the $\bR^{1,1}\times {\cal S}$ horizons preserve 1, 2 and 4 supersymmetries and the geometry of ${\cal S}$ is Riemann, K\"ahler and hyper-K\"ahler, respectively.

3.818845

3.939981

4.289206

3.78712

3.890514

3.849586

3.804609

3.77524

3.740648

4.595988

3.802074

3.869546

3.992157

3.797671

3.800342

3.775971

3.864061

3.755457

3.862164

4.074965

3.764018

1911.11697

Saurabh Gupta

Aditi Pradeep, Anjali S, Binu M Nair, Saurabh Gupta

Revisiting Novel Symmetries in Coupled $\mathcal{N} = 2$ Supersymmetric Quantum Systems: Examples and Supervariable Approach

20 pages, typos fixed, text modified, references added, version to appear in CTP

Commun. Theor. Phys. 72 (2020) 105205

10.1088/1572-9494/aba24f

null

hep-th

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

We revisit the novel symmetries in $\mathcal{N}$ = 2 supersymmetric (SUSY) quantum mechanical (QM) models by considering specific examples of coupled systems. Further, we extend our analysis to a general case and list out all the novel symmetries. In each case, we show the existence of two sets of discrete symmetries that correspond to the Hodge duality operator of differential geometry. Thus, we are able to provide a proof of the conjecture which points out the existence of more than one set of discrete symmetry transformations corresponding to the Hodge duality operator. Moreover, we derive on-shell nilpotent symmetries for a generalized superpotential within the framework of supervariable approach.

[ { "created": "Tue, 26 Nov 2019 17:05:51 GMT", "version": "v1" }, { "created": "Sat, 25 Jan 2020 13:01:24 GMT", "version": "v2" }, { "created": "Tue, 2 Jun 2020 14:54:39 GMT", "version": "v3" } ]

2020-10-06

[ [ "Pradeep", "Aditi", "" ], [ "S", "Anjali", "" ], [ "Nair", "Binu M", "" ], [ "Gupta", "Saurabh", "" ] ]

We revisit the novel symmetries in $\mathcal{N}$ = 2 supersymmetric (SUSY) quantum mechanical (QM) models by considering specific examples of coupled systems. Further, we extend our analysis to a general case and list out all the novel symmetries. In each case, we show the existence of two sets of discrete symmetries that correspond to the Hodge duality operator of differential geometry. Thus, we are able to provide a proof of the conjecture which points out the existence of more than one set of discrete symmetry transformations corresponding to the Hodge duality operator. Moreover, we derive on-shell nilpotent symmetries for a generalized superpotential within the framework of supervariable approach.

8.650451

6.483578

8.959227

6.903028

6.741134

6.98876

6.861489

6.623324

6.963432

9.071695

7.416957

7.725701

8.496101

8.146131

7.972692

7.996063

7.923598

7.895547

8.042015

8.41811

7.898146

1601.02180

Xian Gao

Xian Gao and Lavinia Heisenberg

Derivative couplings in massive bigravity

17 pages, no figure; v2, discussion on the BD ghost extended in Sec.2, references added, matching the published version

JCAP03(2016)043

10.1088/1475-7516/2016/03/043

null

hep-th astro-ph.CO gr-qc

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

In this work we study the cosmological perturbations in massive bigravity in the presence of non-minimal derivative couplings. For this purpose we consider a specific subclass of Horndeski scalar-tensor interactions that live on the unique composite effective metric. For the viability of the model both metrics have to be dynamical. Nevertheless, the number of allowed kinetic terms is crucial. We adapt to the restriction of having one single kinetic term. After deriving the full set of equations of motion for flat Friedmann-Lemaitre-Robertson-Walker background, we study linear perturbations on top of it. We show explicitly that only four tensor, two vector and two scalar degrees of freedom propagate, one of which being the Horndeski scalar, while the Boulware-Deser ghost can be integrated out.

[ { "created": "Sun, 10 Jan 2016 05:52:18 GMT", "version": "v1" }, { "created": "Wed, 23 Mar 2016 19:13:25 GMT", "version": "v2" } ]

2016-03-24

[ [ "Gao", "Xian", "" ], [ "Heisenberg", "Lavinia", "" ] ]

In this work we study the cosmological perturbations in massive bigravity in the presence of non-minimal derivative couplings. For this purpose we consider a specific subclass of Horndeski scalar-tensor interactions that live on the unique composite effective metric. For the viability of the model both metrics have to be dynamical. Nevertheless, the number of allowed kinetic terms is crucial. We adapt to the restriction of having one single kinetic term. After deriving the full set of equations of motion for flat Friedmann-Lemaitre-Robertson-Walker background, we study linear perturbations on top of it. We show explicitly that only four tensor, two vector and two scalar degrees of freedom propagate, one of which being the Horndeski scalar, while the Boulware-Deser ghost can be integrated out.

8.216825

8.32728

8.617017

8.143556

8.349339

8.863137

8.640311

7.699646

8.015209

8.90536

8.050019

7.772199

8.019469

7.927128

7.902962

8.039337

7.891827

7.838932

8.06095

8.201976

8.334258

1203.3546

Constantinos Papageorgakis

Jonathan Bagger, Neil Lambert, Sunil Mukhi and Constantinos Papageorgakis

Multiple Membranes in M-theory

180 pages, 3 figures, Latex; v2: various typos corrected, clarifications, references and acknowledgements added, title modified, submitted to Physics Reports

null

10.1016/j.physrep.2013.01.006

null

hep-th

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

We review developments in the theory of multiple, parallel membranes in M-theory. After discussing the inherent difficulties pertaining to a maximally supersymmetric lagrangian formulation with the appropriate field content and symmetries, we discuss how introducing the concept of 3-algebras allows for such a description. Different choices of 3-algebras lead to distinct classes of 2+1 dimensional theories with varying degrees of supersymmetry. We then describe how these are equivalent to a type of conventional superconformal Chern-Simons gauge theories at level k, coupled to bifundamental matter. Analysing the physical properties of these theories leads to the identification of a certain subclass of models with configurations of M2-branes in Z_k orbifolds of M-theory. In addition these models give rise to a whole new sector of the gauge/gravity duality in the form of an AdS_4/CFT_3 correspondence. We also discuss mass deformations, higher derivative corrections as well as the possibility of extracting information about M5-brane physics.

[ { "created": "Thu, 15 Mar 2012 20:00:13 GMT", "version": "v1" }, { "created": "Sat, 14 Jul 2012 07:30:18 GMT", "version": "v2" } ]

2015-06-04

[ [ "Bagger", "Jonathan", "" ], [ "Lambert", "Neil", "" ], [ "Mukhi", "Sunil", "" ], [ "Papageorgakis", "Constantinos", "" ] ]

We review developments in the theory of multiple, parallel membranes in M-theory. After discussing the inherent difficulties pertaining to a maximally supersymmetric lagrangian formulation with the appropriate field content and symmetries, we discuss how introducing the concept of 3-algebras allows for such a description. Different choices of 3-algebras lead to distinct classes of 2+1 dimensional theories with varying degrees of supersymmetry. We then describe how these are equivalent to a type of conventional superconformal Chern-Simons gauge theories at level k, coupled to bifundamental matter. Analysing the physical properties of these theories leads to the identification of a certain subclass of models with configurations of M2-branes in Z_k orbifolds of M-theory. In addition these models give rise to a whole new sector of the gauge/gravity duality in the form of an AdS_4/CFT_3 correspondence. We also discuss mass deformations, higher derivative corrections as well as the possibility of extracting information about M5-brane physics.

8.39926

7.744015

9.727064

7.955185

8.587487

8.616534

8.075722

8.483314

7.947585

9.430789

8.390589

8.026221

8.449052

7.883086

7.887116

8.005159

7.775073

7.893057

7.80857

7.947627

7.818607

2204.13537

Christopher Couzens Mr

Christopher Couzens, Hyojoong Kim, Nakwoo Kim, Yein Lee

Holographic duals of M5-branes on an irregularly punctured sphere

41 pages plus appendices, 4 figures: v2 published version

null

10.1007/JHEP07(2022)102

null

hep-th

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

We provide explicit holographic duals of M5-branes wrapped on a sphere with one irregular puncture and one regular puncture of arbitrary type. The solutions generalise the solutions corresponding to M5-branes wrapped on a disc recently constructed by Bah-Bonetti-Minasian-Nardoni by allowing for a general choice of regular puncture. We show that the central charges, flavour central charges and conformal dimensions of BPS operators match with a class of Argyres-Douglas theory.

[ { "created": "Thu, 28 Apr 2022 14:39:26 GMT", "version": "v1" }, { "created": "Wed, 16 Nov 2022 10:24:18 GMT", "version": "v2" } ]

2022-11-17

[ [ "Couzens", "Christopher", "" ], [ "Kim", "Hyojoong", "" ], [ "Kim", "Nakwoo", "" ], [ "Lee", "Yein", "" ] ]

We provide explicit holographic duals of M5-branes wrapped on a sphere with one irregular puncture and one regular puncture of arbitrary type. The solutions generalise the solutions corresponding to M5-branes wrapped on a disc recently constructed by Bah-Bonetti-Minasian-Nardoni by allowing for a general choice of regular puncture. We show that the central charges, flavour central charges and conformal dimensions of BPS operators match with a class of Argyres-Douglas theory.

10.854721

8.336911

15.126087

9.376196

8.01054

8.192622

9.758549

8.427071

8.591842

19.800936

8.763337

9.962019

12.482278

9.894599

9.796885

9.645941

9.483443

9.888894

9.807932

12.239801

9.784779

hep-th/0202137

Ali Chamseddine

A. H. Chamseddine (CAMS/AUB)

An Invariant Action for Noncommutative Gravity in Four-Dimensions

11 pages. Paper shortened. Consideration is now limited to gravity in four-dimensions

J.Math.Phys. 44 (2003) 2534-2541

10.1063/1.1572199

CAMS/02-02

hep-th

null

Two main problems face the construction of noncommutative actions for gravity with star products: the complex metric and finding an invariant measure. The only gauge groups that could be used with star products are the unitary groups. I propose an invariant gravitational action in D=4 dimensions based on the constrained gauge group U(2,2) broken to $U(1,1)\times U(1,1).$ No metric is used, thus giving a naturally invariant measure. This action is generalized to the noncommutative case by replacing ordinary products with star products. The four dimensional noncommutative action is studied and the deformed action to first order in deformation parameter is computed.

[ { "created": "Wed, 20 Feb 2002 15:42:47 GMT", "version": "v1" }, { "created": "Mon, 3 Jun 2002 05:24:35 GMT", "version": "v2" }, { "created": "Thu, 21 Nov 2002 06:31:52 GMT", "version": "v3" } ]

2015-06-26

[ [ "Chamseddine", "A. H.", "", "CAMS/AUB" ] ]

Two main problems face the construction of noncommutative actions for gravity with star products: the complex metric and finding an invariant measure. The only gauge groups that could be used with star products are the unitary groups. I propose an invariant gravitational action in D=4 dimensions based on the constrained gauge group U(2,2) broken to $U(1,1)\times U(1,1).$ No metric is used, thus giving a naturally invariant measure. This action is generalized to the noncommutative case by replacing ordinary products with star products. The four dimensional noncommutative action is studied and the deformed action to first order in deformation parameter is computed.

12.420859

11.988748

12.507576

11.035442

12.394927

11.250393

12.292536

11.437564

10.976137

13.180673

11.539138

11.564429

11.890457

11.604181

11.986223

11.559134

11.753964

11.311004

11.600933

11.95697

11.286436

2401.16910

Alessio Belfiglio

Alessio Belfiglio, Orlando Luongo

Production of ultralight dark matter from inflationary spectator fields

11 pages, 3 figures

null

hep-th astro-ph.CO gr-qc

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

We investigate inflationary particle production associated with a spectator ultralight scalar field, which has been recently proposed as a plausible dark matter candidate. In this framework, we select the Starobinsky potential to drive the inflationary epoch, also discussing the case of a nonminimally coupled inflaton field fueled by a quartic symmetry-breaking potential. We focus on particle production arising from spacetime perturbations, which are induced by inflaton fluctuations during the quasi-de Sitter stage of inflation. In particular, we construct the first order Lagrangian describing interaction between inhomogeneities and the spectator field, quantifying superhorizon particle production during slow-roll. We then compare this mechanism with gravitational particle production associated with an instantaneous transition from inflation to the radiation dominated era. We show that the amount of particles obtained from perturbations is typically non-negligible and it is significantly enhanced on super-Hubble scales by the nonadiabatic inflationary expansion. Possible implications for primordial entanglement generation are also debated.

[ { "created": "Tue, 30 Jan 2024 11:22:35 GMT", "version": "v1" } ]

2024-01-31

[ [ "Belfiglio", "Alessio", "" ], [ "Luongo", "Orlando", "" ] ]

We investigate inflationary particle production associated with a spectator ultralight scalar field, which has been recently proposed as a plausible dark matter candidate. In this framework, we select the Starobinsky potential to drive the inflationary epoch, also discussing the case of a nonminimally coupled inflaton field fueled by a quartic symmetry-breaking potential. We focus on particle production arising from spacetime perturbations, which are induced by inflaton fluctuations during the quasi-de Sitter stage of inflation. In particular, we construct the first order Lagrangian describing interaction between inhomogeneities and the spectator field, quantifying superhorizon particle production during slow-roll. We then compare this mechanism with gravitational particle production associated with an instantaneous transition from inflation to the radiation dominated era. We show that the amount of particles obtained from perturbations is typically non-negligible and it is significantly enhanced on super-Hubble scales by the nonadiabatic inflationary expansion. Possible implications for primordial entanglement generation are also debated.

9.139536

9.9351

8.797799

8.491829

8.801803

9.506224

9.401054

9.133721

8.921915

9.055321

9.404218

9.274451

9.03447

8.701834

8.964233

9.258214

9.084307

9.014604

8.88888

9.129564

8.980769

hep-th/9901082

Dan Baleanu

Dumitru Baleanu (Bogoliubov LTPh, JINR, Dubna, Russia),Yurdahan Guler (Cankaya University, Ankara, Turkey)

Quantization of Floreanini-Jackiw chiral harmonic oscillator

6 pages LaTeX, corrected typos, accepted for publication in Il Nuovo Cimento B

Nuovo Cim. B114 (1999) 1023-1028

null

hep-th

null

The Floreanini-Jackiw formulation of the chiral quantum-mechanical system oscillator is a model of constrained theory with only second-class constraints. in the Dirac's classification.The covariant quantization needs infinite number of auxiliary variables and a Wess-Zumino term. In this paper we investigate the path integral quatization of this model using $G\ddot{u}ler's$ canonical formalism. All variables are gauge variables in this formalism. The Siegel's action is obtained using Hamilton-Jacobi formulation of the systems with constraints.

[ { "created": "Tue, 19 Jan 1999 20:32:16 GMT", "version": "v1" }, { "created": "Sun, 15 Aug 1999 11:50:15 GMT", "version": "v2" } ]

2007-05-23

[ [ "Baleanu", "Dumitru", "", "Bogoliubov LTPh, JINR, Dubna, Russia" ], [ "Guler", "Yurdahan", "", "Cankaya University, Ankara, Turkey" ] ]

The Floreanini-Jackiw formulation of the chiral quantum-mechanical system oscillator is a model of constrained theory with only second-class constraints. in the Dirac's classification.The covariant quantization needs infinite number of auxiliary variables and a Wess-Zumino term. In this paper we investigate the path integral quatization of this model using $G\ddot{u}ler's$ canonical formalism. All variables are gauge variables in this formalism. The Siegel's action is obtained using Hamilton-Jacobi formulation of the systems with constraints.

19.210001

16.122591

17.206039

13.433949

15.243302

14.669356

15.759126

14.133153

13.776292

20.700165

14.736366

15.039539

16.255445

14.437678

14.577968

14.67493

14.856295

14.419868

15.063377

15.757273

14.827526

1602.03520

Leonardo Senatore

Matthew Kleban and Leonardo Senatore

Inhomogeneous Anisotropic Cosmology

6 pages, 2 figures. v2: Important reference and minor clarifications added, v3: added appendix with extended explanations, JCAP published version

null

10.1088/1475-7516/2016/10/022

null

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

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

In homogeneous and isotropic Friedmann-Robertson-Walker cosmology, the topology of the universe determines its ultimate fate. If the Weak Energy Condition is satisfied, open and flat universes must expand forever, while closed cosmologies can recollapse to a Big Crunch. A similar statement holds for homogeneous but anisotropic (Bianchi) universes. Here, we prove that $arbitrarily$ inhomogeneous and anisotropic cosmologies with "flat" (including toroidal) and "open" (including compact hyperbolic) spatial topology that are initially expanding must continue to expand forever at least in some region at a rate bounded from below by a positive number, despite the presence of arbitrarily large density fluctuations and/or the formation of black holes. Because the set of 3-manifold topologies is countable, a single integer determines the ultimate fate of the universe, and, in a specific sense, most 3-manifolds are "flat" or "open". Our result has important implications for inflation: if there is a positive cosmological constant (or suitable inflationary potential) and initial conditions for the inflaton, cosmologies with "flat" or "open" topology must expand forever in some region at least as fast as de Sitter space, and are therefore very likely to begin inflationary expansion eventually, regardless of the scale of the inflationary energy or the spectrum and amplitude of initial inhomogeneities and gravitational waves. Our result is also significant for numerical general relativity, which often makes use of periodic (toroidal) boundary conditions.

[ { "created": "Wed, 10 Feb 2016 20:59:44 GMT", "version": "v1" }, { "created": "Mon, 15 Feb 2016 19:36:48 GMT", "version": "v2" }, { "created": "Sat, 10 Dec 2016 19:55:37 GMT", "version": "v3" } ]

2016-12-13

[ [ "Kleban", "Matthew", "" ], [ "Senatore", "Leonardo", "" ] ]

In homogeneous and isotropic Friedmann-Robertson-Walker cosmology, the topology of the universe determines its ultimate fate. If the Weak Energy Condition is satisfied, open and flat universes must expand forever, while closed cosmologies can recollapse to a Big Crunch. A similar statement holds for homogeneous but anisotropic (Bianchi) universes. Here, we prove that $arbitrarily$ inhomogeneous and anisotropic cosmologies with "flat" (including toroidal) and "open" (including compact hyperbolic) spatial topology that are initially expanding must continue to expand forever at least in some region at a rate bounded from below by a positive number, despite the presence of arbitrarily large density fluctuations and/or the formation of black holes. Because the set of 3-manifold topologies is countable, a single integer determines the ultimate fate of the universe, and, in a specific sense, most 3-manifolds are "flat" or "open". Our result has important implications for inflation: if there is a positive cosmological constant (or suitable inflationary potential) and initial conditions for the inflaton, cosmologies with "flat" or "open" topology must expand forever in some region at least as fast as de Sitter space, and are therefore very likely to begin inflationary expansion eventually, regardless of the scale of the inflationary energy or the spectrum and amplitude of initial inhomogeneities and gravitational waves. Our result is also significant for numerical general relativity, which often makes use of periodic (toroidal) boundary conditions.

4.779342

6.259968

5.961801

5.767657

6.24891

6.645486

6.062135

5.913051

6.010474

6.12546

5.675643

5.534052

5.389718

5.4046

5.243796

5.475882

5.499923

5.298002

5.56373

5.268741

5.382333

1107.3594

Yun Soo Myung

Critical gravity as van Dam-Veltman-Zakharov discontinuity in anti de Sitter space

17 pages, no figures, and a reference added

null

hep-th gr-qc

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

We consider critical gravity as van Dam-Vletman-Zakharov (vDVZ) discontinuity in anti de Sitter space. For this purpose, we introduce the higher curvature gravity. This discontinuity can be confirmed by calculating the residues of relevant poles explicitly. For the non-critical gravity of $0<m_2^2<-2\Lambda/3$, the scalar residue of a massive pole is given by 2/3 when taking the $\Lambda \to 0$ limit first and then the $m^2_2 \to 0$ limit. This indicates that the vDVZ discontinuity occurs in the higher curvature theory, showing that propagating degrees of freedom is decreased from 5 to 3. However, at the critical point of $m^2_2=-2\Lambda/3$, the tensor residue of a massive pole blows up and scalar residue is -5/36, showing the unpromising feature of the critical gravity.

[ { "created": "Mon, 18 Jul 2011 23:18:41 GMT", "version": "v1" }, { "created": "Wed, 20 Jul 2011 23:07:23 GMT", "version": "v2" } ]

2011-07-22

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

We consider critical gravity as van Dam-Vletman-Zakharov (vDVZ) discontinuity in anti de Sitter space. For this purpose, we introduce the higher curvature gravity. This discontinuity can be confirmed by calculating the residues of relevant poles explicitly. For the non-critical gravity of $0<m_2^2<-2\Lambda/3$, the scalar residue of a massive pole is given by 2/3 when taking the $\Lambda \to 0$ limit first and then the $m^2_2 \to 0$ limit. This indicates that the vDVZ discontinuity occurs in the higher curvature theory, showing that propagating degrees of freedom is decreased from 5 to 3. However, at the critical point of $m^2_2=-2\Lambda/3$, the tensor residue of a massive pole blows up and scalar residue is -5/36, showing the unpromising feature of the critical gravity.

10.204331

9.709326

9.778823

9.335924

10.655079

10.017626

8.97457

9.08427

9.172723

10.231263

9.161821

9.322777

9.341546

9.295575

9.749269

9.765382

9.511786

9.86982

9.892684

10.499888

9.67943

hep-th/9302046

Amithaba Lahiri

Amitabha Lahiri,10

Constrained Dynamics of the Coupled Abelian Two-Form

LA-UR-93-474

Mod. Phys. Lett. A8 (1993) 2403-2412

10.1142/S021773239300369X

null

hep-th

null

I present the reduction of phase space of the theory of an antisymmetric tensor potential coupled to an abelian gauge field, using Dirac's procedure. Duality transformations on the reduced phase space are also discussed.

[ { "created": "Wed, 10 Feb 1993 18:26:44 GMT", "version": "v1" } ]

2015-06-26

[ [ "Lahiri", "Amitabha", "" ], [ "10", "", "" ] ]

I present the reduction of phase space of the theory of an antisymmetric tensor potential coupled to an abelian gauge field, using Dirac's procedure. Duality transformations on the reduced phase space are also discussed.

13.937273

10.109951

13.506278

9.531898

9.370859

8.920781

9.423222

9.101091

12.164111

9.684645

10.346229

10.354397

11.526814

10.290264

9.912117

10.171155

9.766264

9.837135

11.005072

11.294711

10.139276

hep-th/9605142

Wen-feng Chen

M. Chaichian, W.F. Chen and Z.Y. Zhu

Gauss Law Constraints in Chern-Simons Theory From BRST Quantization

Some typetwritten errors have been corrected. A few formulas have been modified to make the arguments clear. A little English have been re-edited

Phys.Lett. B387 (1996) 785-790

10.1016/0370-2693(96)01105-7

HU-SEFT R 96-10, AS-ITP-96-12

hep-th

null

The physical state condition in the BRST quantization of Chern-Simons field theory is used to derive Gauss law constraints in the presence of Wilson loops, which play an important role in explicitly establishing the connection of Chern-Simons field theory with 2-dimensional conformal field theory.

[ { "created": "Tue, 21 May 1996 11:59:04 GMT", "version": "v1" }, { "created": "Sun, 28 Jul 1996 10:15:11 GMT", "version": "v2" } ]

2009-10-30

[ [ "Chaichian", "M.", "" ], [ "Chen", "W. F.", "" ], [ "Zhu", "Z. Y.", "" ] ]

The physical state condition in the BRST quantization of Chern-Simons field theory is used to derive Gauss law constraints in the presence of Wilson loops, which play an important role in explicitly establishing the connection of Chern-Simons field theory with 2-dimensional conformal field theory.

9.697305

6.845705

7.24844

6.207697

6.583858

6.937709

7.013682

6.951107

6.800519

7.768625

6.779291

6.483127

7.211224

6.606455

6.416599

6.808782

6.655839

6.873371

6.72041

7.481008

7.210137

hep-th/0308172

Kazumi Okuyama

Comments on Half S-Branes

27 pages, lanlmac; v2: reference added

JHEP 0309 (2003) 053

10.1088/1126-6708/2003/09/053

EFI-03-41

hep-th

null

Following hep-th/0305177, we write the boundary state of half S-brane in bosonic string theory as a grand canonical partition function of a unitary matrix model. From this representation, it follows that the annulus amplitude can be written as a grand canonical partition function of a unitary two-matrix model. We also show that the contribution of the exponentially growing couplings to the timelike oscillators can be resummed in a certain annulus amplitude.

[ { "created": "Tue, 26 Aug 2003 15:03:57 GMT", "version": "v1" }, { "created": "Tue, 2 Sep 2003 18:44:35 GMT", "version": "v2" } ]

2009-11-10

[ [ "Okuyama", "Kazumi", "" ] ]

Following hep-th/0305177, we write the boundary state of half S-brane in bosonic string theory as a grand canonical partition function of a unitary matrix model. From this representation, it follows that the annulus amplitude can be written as a grand canonical partition function of a unitary two-matrix model. We also show that the contribution of the exponentially growing couplings to the timelike oscillators can be resummed in a certain annulus amplitude.

11.009918

9.111923

10.688848

8.507561

9.056732

8.813117

9.182148

8.943956

8.831179

12.661627

8.781871

9.038843

9.658619

9.126632

8.777885

8.709774

8.796889

8.774796

8.883773

9.680437

9.116276

0807.3725

Hiroyuki Abe

Hiroyuki Abe, Yutaka Sakamura

Flavor structure with multi moduli in 5D supergravity

30 pages, 2 figures; version to be published in PRD

Phys.Rev.D79:045005,2009

10.1103/PhysRevD.79.045005

YITP-08-64, RIKEN-TH-134

hep-th hep-ph

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

We study 5-dimensional supergravity on S^1/Z_2 with a physical Z_2-odd vector multiplet, which yields an additional modulus other than the radion. We derive 4-dimensional effective theory and find additional terms in the Kahler potential that are peculiar to the multi moduli case. Such terms can avoid tachyonic soft scalar masses at tree-level, which are problematic in the single modulus case. We also show that the flavor structure of the soft terms are different from that in the single modulus case when hierarchical Yukawa couplings are generated by wavefunction localization in the fifth dimension. We present a concrete model that stabilizes the moduli at a supersymmetry breaking Minkowski minimum, and show the low energy sparticle spectrum.

[ { "created": "Wed, 23 Jul 2008 18:21:50 GMT", "version": "v1" }, { "created": "Mon, 26 Jan 2009 04:11:08 GMT", "version": "v2" } ]

2009-02-20

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

We study 5-dimensional supergravity on S^1/Z_2 with a physical Z_2-odd vector multiplet, which yields an additional modulus other than the radion. We derive 4-dimensional effective theory and find additional terms in the Kahler potential that are peculiar to the multi moduli case. Such terms can avoid tachyonic soft scalar masses at tree-level, which are problematic in the single modulus case. We also show that the flavor structure of the soft terms are different from that in the single modulus case when hierarchical Yukawa couplings are generated by wavefunction localization in the fifth dimension. We present a concrete model that stabilizes the moduli at a supersymmetry breaking Minkowski minimum, and show the low energy sparticle spectrum.

8.30464

6.650261

6.755261

6.489106

7.214265

7.678868

7.271894

6.916684

6.504964

7.391625

6.868252

7.306812

7.480706

6.955388

7.178023

7.141444

7.400255

7.48734

7.096185

7.698995

6.964056

1008.1054

Arsen Melikyan

A. Melikyan, A. Pinzul and G. Weber

Higher charges and regularized quantum trace identities in su(1,1) Landau-Lifshitz model

27 pages; misprints corrected, references added

J. Math. Phys. 51: 123501,2010

10.1063/1.3509374

null

hep-th cond-mat.str-el math-ph math.MP

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

We solve the operator ordering problem for the quantum continuous integrable su(1,1) Landau-Lifshitz model, and give a prescription to obtain the quantum trace identities, and the spectrum for the higher-order local charges. We also show that this method, based on operator regularization and renormalization, which guarantees quantum integrability, as well as the construction of self-adjoint extensions, can be used as an alternative to the discretization procedure, and unlike the latter, is based only on integrable representations.

[ { "created": "Thu, 5 Aug 2010 19:58:34 GMT", "version": "v1" }, { "created": "Wed, 11 Aug 2010 01:12:28 GMT", "version": "v2" } ]

2015-05-19

[ [ "Melikyan", "A.", "" ], [ "Pinzul", "A.", "" ], [ "Weber", "G.", "" ] ]

We solve the operator ordering problem for the quantum continuous integrable su(1,1) Landau-Lifshitz model, and give a prescription to obtain the quantum trace identities, and the spectrum for the higher-order local charges. We also show that this method, based on operator regularization and renormalization, which guarantees quantum integrability, as well as the construction of self-adjoint extensions, can be used as an alternative to the discretization procedure, and unlike the latter, is based only on integrable representations.

14.549179

13.146781

15.152527

13.292041

15.968755

13.285906

14.824317

13.03632

13.699851

16.514103

13.539254

14.788373

14.190248

14.242844

14.33851

14.084976

13.817084

14.553638

14.539054

14.317623

14.177151

hep-th/0309059

Alexander Chervov

A. Chervov (ITEP, Moscow), D. Talalaev (ITEP, Moscow)

Hitchin systems on singular curves II. Gluing subschemes

36 pages

Int.J.Geom.Meth.Mod.Phys.4:751-787,2007

10.1142/S0219887807002284

ITEP-TH-82/02

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

null

In this paper we continue our studies of Hitchin systems on singular curves (started in hep-th/0303069). We consider a rather general class of curves which can be obtained from the projective line by gluing two subschemes together (i.e. their affine part is: Spec $\{f \in \CC[z]: f(A(\ep))=f((B(\ep)); \ep^N=0 \}$, where $A(\ep), B(\ep)$ are arbitrary polynomials) . The most simple examples are the generalized cusp curves which are projectivizations of Spec $\{f \in \CC[z]: f'(0)=f''(0)=...f^{N-1}(0)=0 \}$). We describe the geometry of such curves; in particular we calculate their genus (for some curves the calculation appears to be related with the iteration of polynomials $A(\ep), B(\ep)$ defining the subschemes). We obtain the explicit description of moduli space of vector bundles, the dualizing sheaf, Higgs field and other ingredients of the Hitchin integrable systems; these results may deserve the independent interest. We prove the integrability of Hitchin systems on such curves. To do this we develop $r$-matrix formalism for the functions on the truncated loop group $GL_n(\CC[z]), z^N=0$. We also show how to obtain the Hitchin integrable systems on such curves as hamiltonian reduction from the more simple system on some finite-dimensional space.

[ { "created": "Thu, 4 Sep 2003 23:29:50 GMT", "version": "v1" }, { "created": "Sun, 7 Sep 2003 15:27:49 GMT", "version": "v2" }, { "created": "Wed, 10 Sep 2003 06:21:25 GMT", "version": "v3" } ]

2008-11-26

[ [ "Chervov", "A.", "", "ITEP, Moscow" ], [ "Talalaev", "D.", "", "ITEP, Moscow" ] ]

In this paper we continue our studies of Hitchin systems on singular curves (started in hep-th/0303069). We consider a rather general class of curves which can be obtained from the projective line by gluing two subschemes together (i.e. their affine part is: Spec $\{f \in \CC[z]: f(A(\ep))=f((B(\ep)); \ep^N=0 \}$, where $A(\ep), B(\ep)$ are arbitrary polynomials) . The most simple examples are the generalized cusp curves which are projectivizations of Spec $\{f \in \CC[z]: f'(0)=f''(0)=...f^{N-1}(0)=0 \}$). We describe the geometry of such curves; in particular we calculate their genus (for some curves the calculation appears to be related with the iteration of polynomials $A(\ep), B(\ep)$ defining the subschemes). We obtain the explicit description of moduli space of vector bundles, the dualizing sheaf, Higgs field and other ingredients of the Hitchin integrable systems; these results may deserve the independent interest. We prove the integrability of Hitchin systems on such curves. To do this we develop $r$-matrix formalism for the functions on the truncated loop group $GL_n(\CC[z]), z^N=0$. We also show how to obtain the Hitchin integrable systems on such curves as hamiltonian reduction from the more simple system on some finite-dimensional space.

8.30192

9.342587

9.498224

8.974297

9.948653

9.77932

9.201481

8.851406

8.688296

10.381599

8.632392

8.502027

8.874056

8.261224

8.280601

8.553099

8.42796

8.539944

8.310759

8.398759

8.05307

1910.02606

Peter Koroteev

Alexander Gorsky, Olesya Koroteeva, Peter Koroteev, Arkady Vainshtein

On Dimensional Transmutation in 1+1D Quantum Hydrodynamics

32 pages, 2 figures, typos corrected

Journal of Mathematical Physics 61, 082302 (2020)

10.1063/1.5131471

null

hep-th cond-mat.str-el math-ph math.MP nlin.SI

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

Recently a detailed correspondence was established between, on one side, four and five-dimensional large-N supersymmetric gauge theories with $\mathcal{N}=2$ supersymmetry and adjoint matter, and, on the other side, integrable 1+1-dimensional quantum hydrodynamics. Under this correspondence the phenomenon of dimensional transmutation, familiar in asymptotically free QFTs, gets mapped to the transition from the elliptic Calogero-Moser many-body system to the closed Toda chain. In this paper we attempt to formulate the hydrodynamical counterpart of the dimensional transmutation phenomenon inspired by the identification of the periodic Intermediate Long Wave (ILW) equation as the hydrodynamical limit of the elliptic Calogero-Moser/Ruijsenaars-Schneider system. We also conjecture that the chiral flow in the vortex fluid provides the proper framework for the microscopic description of such dimensional transmutation in the 1+1d hydrodynamics. We provide a geometric description of this phenomenon in terms of the ADHM moduli space.

[ { "created": "Mon, 7 Oct 2019 04:32:34 GMT", "version": "v1" }, { "created": "Sun, 30 Aug 2020 20:50:34 GMT", "version": "v2" } ]

2020-09-01

[ [ "Gorsky", "Alexander", "" ], [ "Koroteeva", "Olesya", "" ], [ "Koroteev", "Peter", "" ], [ "Vainshtein", "Arkady", "" ] ]

Recently a detailed correspondence was established between, on one side, four and five-dimensional large-N supersymmetric gauge theories with $\mathcal{N}=2$ supersymmetry and adjoint matter, and, on the other side, integrable 1+1-dimensional quantum hydrodynamics. Under this correspondence the phenomenon of dimensional transmutation, familiar in asymptotically free QFTs, gets mapped to the transition from the elliptic Calogero-Moser many-body system to the closed Toda chain. In this paper we attempt to formulate the hydrodynamical counterpart of the dimensional transmutation phenomenon inspired by the identification of the periodic Intermediate Long Wave (ILW) equation as the hydrodynamical limit of the elliptic Calogero-Moser/Ruijsenaars-Schneider system. We also conjecture that the chiral flow in the vortex fluid provides the proper framework for the microscopic description of such dimensional transmutation in the 1+1d hydrodynamics. We provide a geometric description of this phenomenon in terms of the ADHM moduli space.

7.075313

6.915666

8.114881

6.750986

7.905776

7.410548

6.490466

6.86429

6.776595

7.686721

6.881627

6.615054

6.80636

6.625825

6.862139

6.846252

6.719317

6.54672

6.555559

7.030073

6.41173

0710.4877

Michele Trapletti

A. P. Braun, A. Hebecker, M. Trapletti

Moduli stabilization in (string) model building: gauge fluxes and loops

Submitted for the SUSY07 proceedings, 4 pages, LaTeX

null

LPT-ORSAY-07-101

hep-th

null

We discuss the moduli stabilization arising in the presence of gauge fluxes, R-symmetry twists and non-perturbative effects in the context of 6-dimensional supergravity models. We show how the presence of D-terms, due to the gauge fluxes, is compatible with gaugino condensation, and that the two effects, combined with the R-symmetry twist, do stabilize all the Kaehler moduli present in the model, in the spirit of KKLT. We also calculate the flux-induced one-loop correction to the scalar potential coming from charged hypermultiplets, and find that it does not destabilize the minimum.

[ { "created": "Thu, 25 Oct 2007 19:03:45 GMT", "version": "v1" } ]

2007-10-26

[ [ "Braun", "A. P.", "" ], [ "Hebecker", "A.", "" ], [ "Trapletti", "M.", "" ] ]

We discuss the moduli stabilization arising in the presence of gauge fluxes, R-symmetry twists and non-perturbative effects in the context of 6-dimensional supergravity models. We show how the presence of D-terms, due to the gauge fluxes, is compatible with gaugino condensation, and that the two effects, combined with the R-symmetry twist, do stabilize all the Kaehler moduli present in the model, in the spirit of KKLT. We also calculate the flux-induced one-loop correction to the scalar potential coming from charged hypermultiplets, and find that it does not destabilize the minimum.

6.677989

6.371356

6.503983

5.789639

6.13634

6.021805

6.271326

5.836072

5.945627

6.972213

5.826395

6.024081

6.290221

6.257753

5.957673

6.214048

6.012251

6.107614

6.025865

6.332815

5.963235

2212.07025

Chi-Ming Chang

Chi-Ming Chang and Wen-Jie Ma

Missing Corner in the Sky: Massless Three-Point Celestial Amplitudes

25+10 pages, JHEP published version

null

10.1007/JHEP04(2023)051

null

hep-th

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

We present the first computation of three-point celestial amplitudes in Minkowski space of massless scalars, photons, gluons, and gravitons. Such amplitudes were previously considered to be zero in the literature because the corresponding scattering amplitudes in the plane wave basis vanish for finite momenta due to momentum conservation. However, the delta function for the momentum conservation has support in the soft and colinear regions, and contributes to the Mellin and shadow integrals that give non-zero celestial amplitudes. We further show that when expanding in the (shadow) conformal basis for the incoming (outgoing) particle wave functions, the amplitudes take the standard form of correlators in two-dimensional conformal field theory. In particular, the three-point celestial gluon amplitudes take the form of a three-point function of a spin-one current with two spin-one primary operators, which strongly supports the relation between soft spinning particles and conserved currents. Moreover, the three-point celestial amplitudes of one graviton and two massless scalars take the form of a correlation function involving a primary operator of conformal weight one and spin two, whose level-one descendent is the supertranslation current.

[ { "created": "Wed, 14 Dec 2022 04:38:07 GMT", "version": "v1" }, { "created": "Tue, 11 Jul 2023 12:08:36 GMT", "version": "v2" } ]

2023-07-12

[ [ "Chang", "Chi-Ming", "" ], [ "Ma", "Wen-Jie", "" ] ]

We present the first computation of three-point celestial amplitudes in Minkowski space of massless scalars, photons, gluons, and gravitons. Such amplitudes were previously considered to be zero in the literature because the corresponding scattering amplitudes in the plane wave basis vanish for finite momenta due to momentum conservation. However, the delta function for the momentum conservation has support in the soft and colinear regions, and contributes to the Mellin and shadow integrals that give non-zero celestial amplitudes. We further show that when expanding in the (shadow) conformal basis for the incoming (outgoing) particle wave functions, the amplitudes take the standard form of correlators in two-dimensional conformal field theory. In particular, the three-point celestial gluon amplitudes take the form of a three-point function of a spin-one current with two spin-one primary operators, which strongly supports the relation between soft spinning particles and conserved currents. Moreover, the three-point celestial amplitudes of one graviton and two massless scalars take the form of a correlation function involving a primary operator of conformal weight one and spin two, whose level-one descendent is the supertranslation current.

7.980765

7.279664

8.424164

7.178616

8.506068

7.633901

7.872472

7.501875

7.566885

8.742955

7.326465

7.667565

8.086369

7.7095

7.759094

7.542892

7.866352

7.645578

7.850752

8.221131

7.571703

hep-th/0409159

Nathan Berkovits

Nathan Berkovits (IFT-UNESP, Sao Paulo)

BRST Cohomology and Nonlocal Conserved Charges

9 pages harvmac tex

JHEP 0502:060,2005

10.1088/1126-6708/2005/02/060

IFT-P.044/2004

hep-th

null

A relation is found between nonlocal conserved charges in string theory and certain ghost-number two states in the BRST cohomology. This provides a simple proof that the nonlocal conserved charges for the superstring in an AdS_5 x S^5 background are BRST-invariant in the pure spinor formalism and are kappa-symmetric in the Green-Schwarz formalism.

[ { "created": "Wed, 15 Sep 2004 15:55:19 GMT", "version": "v1" } ]

2010-02-03

[ [ "Berkovits", "Nathan", "", "IFT-UNESP, Sao Paulo" ] ]

A relation is found between nonlocal conserved charges in string theory and certain ghost-number two states in the BRST cohomology. This provides a simple proof that the nonlocal conserved charges for the superstring in an AdS_5 x S^5 background are BRST-invariant in the pure spinor formalism and are kappa-symmetric in the Green-Schwarz formalism.

7.391944

4.979832

7.066723

5.040281

5.03476

4.872594

5.005709

5.100097

5.104062

6.351107

5.323781

5.517474

6.672539

5.51683

5.542655

5.522375

5.459881

5.624224

5.59206

6.535314

5.618178

hep-th/9508031

Uwe Mueller

A Basis for Invariants in Non-Abelian Gauge Theories

6 pages, LaTeX, talk presented at the AIHENP-95 workshop, Pisa (Italy), April 1995, revised version of the proceedings contribution

null

hep-th

null

An algorithm is described to convert Lorentz and gauge invariant expressions in non--Abelian gauge theories with matter into a standard form, consisting of a linear combination of basis invariants. This algorithm is needed for computer calculations of effective actions. The defining properties of the basis invariants are reported. The number of basis invariants up to mass dimension 16 are presented.

[ { "created": "Mon, 7 Aug 1995 13:52:19 GMT", "version": "v1" } ]

2007-05-23

[ [ "Mueller", "Uwe", "" ] ]

An algorithm is described to convert Lorentz and gauge invariant expressions in non--Abelian gauge theories with matter into a standard form, consisting of a linear combination of basis invariants. This algorithm is needed for computer calculations of effective actions. The defining properties of the basis invariants are reported. The number of basis invariants up to mass dimension 16 are presented.

12.357555

10.3012

10.549667

10.054398

11.025243

11.055359

9.473455

9.904201

10.045274

11.11025

10.661655

10.147096

10.565368

10.313601

10.05225

10.431719

10.098942

9.900697

9.887345

10.918026

10.366865

hep-th/9410044

null

D. R. Grigore

Free Fields for Any Spin in Relativistic Quantum Mechanics

10 pages, IFA-FT-400, LATEX

null

hep-th

null

A general discussion of the construction of free fields based on Weinberg anszatz is provided and various applications appearing in the litterature are considered.

[ { "created": "Fri, 7 Oct 1994 10:23:00 GMT", "version": "v1" } ]

2007-05-23

[ [ "Grigore", "D. R.", "" ] ]

A general discussion of the construction of free fields based on Weinberg anszatz is provided and various applications appearing in the litterature are considered.

50.207378

34.101669

37.185543

34.403118

38.174694

32.871426

39.608238

37.8176

33.722206

42.809841

31.236401

35.311325

35.817417

37.227844

36.519497

35.513092

35.32159

36.006905

36.05827

34.852165

32.663288

2110.04218

Hossein Yavartanoo

H. Adami, D. Grumiller, M.M. Sheikh-Jabbari, V. Taghiloo, H. Yavartanoo, C. Zwikel

Null boundary phase space: slicings, news and memory

26 pages+appendices, references added, published version in JHEP

JHEP 11 (2021) 155

10.1007/JHEP11(2021)155

null

hep-th gr-qc

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

We construct the boundary phase space in $D$-dimensional Einstein gravity with a generic given co-dimension one null surface ${\cal N}$ as the boundary. The associated boundary symmetry algebra is a semi-direct sum of diffeomorphisms of $\cal N$ and Weyl rescalings. It is generated by $D$ towers of surface charges that are generic functions over $\cal N$. These surface charges can be rendered integrable for appropriate slicings of the phase space, provided there is no graviton flux through $\cal N$. In one particular slicing of this type, the charge algebra is the direct sum of the Heisenberg algebra and diffeomorphisms of the transverse space, ${\cal N}_v$ for any fixed value of the advanced time $v$. Finally, we introduce null surface expansion- and spin-memories, and discuss associated memory effects that encode the passage of gravitational waves through $\cal N$, imprinted in a change of the surface charges.

[ { "created": "Fri, 8 Oct 2021 16:15:51 GMT", "version": "v1" }, { "created": "Wed, 20 Oct 2021 05:42:21 GMT", "version": "v2" }, { "created": "Mon, 29 Nov 2021 02:22:04 GMT", "version": "v3" } ]

2021-11-30

[ [ "Adami", "H.", "" ], [ "Grumiller", "D.", "" ], [ "Sheikh-Jabbari", "M. M.", "" ], [ "Taghiloo", "V.", "" ], [ "Yavartanoo", "H.", "" ], [ "Zwikel", "C.", "" ] ]

We construct the boundary phase space in $D$-dimensional Einstein gravity with a generic given co-dimension one null surface ${\cal N}$ as the boundary. The associated boundary symmetry algebra is a semi-direct sum of diffeomorphisms of $\cal N$ and Weyl rescalings. It is generated by $D$ towers of surface charges that are generic functions over $\cal N$. These surface charges can be rendered integrable for appropriate slicings of the phase space, provided there is no graviton flux through $\cal N$. In one particular slicing of this type, the charge algebra is the direct sum of the Heisenberg algebra and diffeomorphisms of the transverse space, ${\cal N}_v$ for any fixed value of the advanced time $v$. Finally, we introduce null surface expansion- and spin-memories, and discuss associated memory effects that encode the passage of gravitational waves through $\cal N$, imprinted in a change of the surface charges.

9.539674

9.884376

10.576447

8.962852

10.016393

9.64131

9.707973

8.851746

8.596758

11.055213

9.224351

9.273217

9.432652

9.233583

9.255551

9.041226

9.126467

8.807626

9.155917

9.486286

9.211688

hep-th/0112204

Joe Polchinski

Joseph Polchinski and Leonard Susskind

String Theory and the Size of Hadrons

15 pages

null

NSF-ITP-01-185, SU-ITP 01/56

hep-th

null

We begin by outlining the ancient puzzle of off shell currents and infinite size particles in a string theory of hadrons. We then consider the problem from the modern AdS/CFT perspective. We argue that although hadrons should be thought of as ideal thin strings from the 5-dimensional bulk point of view, the 4-dimensional strings are a superposition of "fat" strings of different thickness. We also find that the warped nature of the target geometry provides a mechanism for taming the infinite zero point fluctuations which apparently produce a divergent result for hadronic radii. Finally a calculation of the large momentum behavior of the form factor is given in the limit of strong 't Hooft parameter where the classical gravity limit is appropriate. We find agreement with parton model expectations.

[ { "created": "Thu, 20 Dec 2001 23:31:33 GMT", "version": "v1" }, { "created": "Sun, 23 Dec 2001 22:07:40 GMT", "version": "v2" } ]

2007-05-23

[ [ "Polchinski", "Joseph", "" ], [ "Susskind", "Leonard", "" ] ]

We begin by outlining the ancient puzzle of off shell currents and infinite size particles in a string theory of hadrons. We then consider the problem from the modern AdS/CFT perspective. We argue that although hadrons should be thought of as ideal thin strings from the 5-dimensional bulk point of view, the 4-dimensional strings are a superposition of "fat" strings of different thickness. We also find that the warped nature of the target geometry provides a mechanism for taming the infinite zero point fluctuations which apparently produce a divergent result for hadronic radii. Finally a calculation of the large momentum behavior of the form factor is given in the limit of strong 't Hooft parameter where the classical gravity limit is appropriate. We find agreement with parton model expectations.

15.541718

17.28656

15.429106

15.992183

15.853549

16.811012

15.569326

16.396719

15.031863

19.556307

16.024422

15.863678

15.966558

15.178321

15.619247

16.060904

15.612549

15.852158

15.813862

15.517499

15.864189

hep-th/0402142

Laura Andrianopoli

L. Andrianopoli, S. Ferrara, M. A. Lledo'

Axion gauge symmetries and generalized Chern-Simons terms in N=1 supersymmetric theories

References added and few misprints corrected

JHEP 0404 (2004) 005

10.1088/1126-6708/2004/04/005

null

hep-th

null

We compute the form of the Lagrangian of N=1 supersymmetric theories with gauged axion symmetries. It turns out that there appear generalized Chern-Simons terms that were not considered in previous superspace formulations of general N=1 theories. Such gaugings appear in supergravities arising from flux compactifications of superstrings, as well as from Scherk-Schwarz generalized dimensional reduction in M-theory. We also present the dual superspace formulation where axion chiral multiplets are dualized into linear multiplets.

[ { "created": "Wed, 18 Feb 2004 15:37:02 GMT", "version": "v1" }, { "created": "Thu, 4 Mar 2004 16:52:30 GMT", "version": "v2" } ]

2009-11-10

[ [ "Andrianopoli", "L.", "" ], [ "Ferrara", "S.", "" ], [ "Lledo'", "M. A.", "" ] ]

We compute the form of the Lagrangian of N=1 supersymmetric theories with gauged axion symmetries. It turns out that there appear generalized Chern-Simons terms that were not considered in previous superspace formulations of general N=1 theories. Such gaugings appear in supergravities arising from flux compactifications of superstrings, as well as from Scherk-Schwarz generalized dimensional reduction in M-theory. We also present the dual superspace formulation where axion chiral multiplets are dualized into linear multiplets.

8.425128

7.901636

10.320786

7.699572

8.238357

8.196602

7.866144

7.558458

7.952369

9.973544

7.78227

7.617965

8.438342

7.660157

7.660805

7.605789

7.479754

7.798133

7.884181

8.352492

7.386064

1605.07636

Tim Morris Prof

Juergen A. Dietz, Tim R. Morris and Zoe H. Slade

Fixed point structure of the conformal factor field in quantum gravity

58 pages, 15 figures. Added section that shows that for any sensible cutoff profile, space-time and field dimension, the LPA for standard scalar field theory can only have a discrete set of fixed points, while the sign change of the kinetic term results instead in a continuum of fixed points

Phys. Rev. D 94, 124014 (2016)

10.1103/PhysRevD.94.124014

null

hep-th gr-qc

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

The $\mathcal{O}(\partial^2)$ background independent flow equations for conformally reduced gravity are shown to be equivalent to flow equations naturally adapted to scalar field theory with a wrong sign kinetic term. This sign change is shown to have a profound effect on the renormalization group properties, broadly resulting in a continuum of fixed points supporting both a discrete and a continuous eigenoperator spectrum, the latter always including relevant directions. The properties at the Gaussian fixed point are understood in particular depth, but also detailed studies of the local potential approximation, and the full $\mathcal{O}(\partial^2)$ approximation are given. These results are related to evidence for asymptotic safety found by other authors.

[ { "created": "Tue, 24 May 2016 20:02:36 GMT", "version": "v1" }, { "created": "Sat, 15 Oct 2016 18:26:55 GMT", "version": "v2" } ]

2016-12-14

[ [ "Dietz", "Juergen A.", "" ], [ "Morris", "Tim R.", "" ], [ "Slade", "Zoe H.", "" ] ]

The $\mathcal{O}(\partial^2)$ background independent flow equations for conformally reduced gravity are shown to be equivalent to flow equations naturally adapted to scalar field theory with a wrong sign kinetic term. This sign change is shown to have a profound effect on the renormalization group properties, broadly resulting in a continuum of fixed points supporting both a discrete and a continuous eigenoperator spectrum, the latter always including relevant directions. The properties at the Gaussian fixed point are understood in particular depth, but also detailed studies of the local potential approximation, and the full $\mathcal{O}(\partial^2)$ approximation are given. These results are related to evidence for asymptotic safety found by other authors.

13.74343

11.80517

14.22717

12.302461

13.282714

12.43141

12.905268

12.265885

12.362704

14.904558

12.600978

12.818355

13.778095

12.946982

13.604086

13.258149

13.088799

12.967648

12.592016

13.342454

12.736188

2304.04756

Mohammad Vahid Takook

M.V. Takook, J.P. Gazeau, E. Huguet

Asymptotic states and $S$-matrix operator in de Sitter ambient space formalism

21 pages

August 2023 Universe 9(9): 379

10.3390/universe9090379

null

hep-th gr-qc

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

Within the de Sitter ambient space framework, the two different bases of the one-particle Hilbert space of the de Sitter group algebra are presented for the scalar case. Using field operator algebra and its Fock space construction in this formalism, we discuss the existence of asymptotic states in de Sitter QFT under an extension of the adiabatic hypothesis and prove the Fock space completeness theorem for the massive scalar field. We define the quantum state in the limit of future and past infinity on the Sitter hyperboloid in an observer-independent way. These results allow us to examine the existence of the $S$-matrix operator for de Sitter QFT in ambient space formalism, a question usually obscure in spacetime with a cosmological event horizon for a specific observer. Some similarities and differences between QFT in Minkowski and de Sitter spaces are discussed.

[ { "created": "Wed, 5 Apr 2023 18:21:03 GMT", "version": "v1" } ]

2023-08-29

[ [ "Takook", "M. V.", "" ], [ "Gazeau", "J. P.", "" ], [ "Huguet", "E.", "" ] ]

Within the de Sitter ambient space framework, the two different bases of the one-particle Hilbert space of the de Sitter group algebra are presented for the scalar case. Using field operator algebra and its Fock space construction in this formalism, we discuss the existence of asymptotic states in de Sitter QFT under an extension of the adiabatic hypothesis and prove the Fock space completeness theorem for the massive scalar field. We define the quantum state in the limit of future and past infinity on the Sitter hyperboloid in an observer-independent way. These results allow us to examine the existence of the $S$-matrix operator for de Sitter QFT in ambient space formalism, a question usually obscure in spacetime with a cosmological event horizon for a specific observer. Some similarities and differences between QFT in Minkowski and de Sitter spaces are discussed.

12.373007

12.140182

12.533289

12.022767

12.03943

12.497962

13.414014

11.747421

11.98729

12.449244

11.894835

11.487451

11.551467

11.688573

11.539506

11.747959

12.016184

11.667627

11.973322

11.794232

11.665118

1802.04802

Mboyo Esole

Mboyo Esole and Monica Jinwoo Kang

Flopping and Slicing: SO(4) and Spin(4)-models

45 pages+references, 12 figures, and 4 tables

Advances in Theoretical and Mathematical Physics Volume 23 (2019) Number 4:1003-1066

10.4310/ATMP.2019.v23.n4.a2

null

hep-th math.AG

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

We study the geometric engineering of gauge theories with gauge group Spin(4) and SO(4) using crepant resolutions of Weierstrass models. The corresponding elliptic fibrations realize a collision of singularities corresponding to two fibers with dual graph the affine $A_1$ Dynkin diagram. There are eight different ways to engineer such collisions using decorated Kodaira fibers. The Mordell-Weil group of the elliptic fibration is required to be trivial for Spin(4) and Z/2Z for SO(4). Each of these models have two possible crepant resolutions connected by a flop. We also compute a generating function for the Euler characteristic of such elliptic fibrations over a base of arbitrary dimensions. In the case of a threefold, we also compute the triple intersection numbers of the fibral divisors. In the case of Calabi-Yau threefolds, we also compute their Hodge numbers, and check the cancellations of anomalies in a six-dimensional supergravity theory.

[ { "created": "Tue, 13 Feb 2018 19:00:00 GMT", "version": "v1" } ]

2023-02-09

[ [ "Esole", "Mboyo", "" ], [ "Kang", "Monica Jinwoo", "" ] ]

We study the geometric engineering of gauge theories with gauge group Spin(4) and SO(4) using crepant resolutions of Weierstrass models. The corresponding elliptic fibrations realize a collision of singularities corresponding to two fibers with dual graph the affine $A_1$ Dynkin diagram. There are eight different ways to engineer such collisions using decorated Kodaira fibers. The Mordell-Weil group of the elliptic fibration is required to be trivial for Spin(4) and Z/2Z for SO(4). Each of these models have two possible crepant resolutions connected by a flop. We also compute a generating function for the Euler characteristic of such elliptic fibrations over a base of arbitrary dimensions. In the case of a threefold, we also compute the triple intersection numbers of the fibral divisors. In the case of Calabi-Yau threefolds, we also compute their Hodge numbers, and check the cancellations of anomalies in a six-dimensional supergravity theory.

7.475721

6.806803

9.018942

7.018317

7.497004

7.41325

7.315955

7.198195

6.817465

10.230538

7.091913

7.041479

7.590804

6.961005

7.356508

7.143901

7.09087

7.322975

7.211303

7.612177

7.009979

hep-th/0407225

Soumitra SenGupta

Biswarup Mukhopadhyaya and Soumitra SenGupta

Sparticle spectrum and phenomenology in split supersymmetry: some possibilities

8 pages,latex,revised and typos corrected, To appear in Physical Review D

Phys.Rev. D71 (2005) 035004

10.1103/PhysRevD.71.035004

null

hep-th hep-ph

null

We investigate the split supersymmetry (SUSY) scenario recently proposed by Arkani-Hamed and Dimopoulos, where the scalars are heavy but the fermions are within the TeV range. We show that the sparticle spectrum in such a case crucially depends on the specific details of the mechanism underlying the SUSY breaking scheme, and the accelerator signals are also affected by it. In particular, we demonstrate in the context of a braneworld-inspired model, used as illustration in the original work, that a new fermion $\psi_X$, arising from the SUSY breaking sector, is shown to control low-energy phenomenology in several cases. Also, SUSY signals are characterised by the associated production of the light neutral Higgs. In an alternative scenario where the gauginos are assumed to propagate in the bulk, we find that gluinos can be heavy and short-lived, and the SUSY breaking scale can be free of cosmological constraints

[ { "created": "Tue, 27 Jul 2004 08:14:30 GMT", "version": "v1" }, { "created": "Wed, 4 Aug 2004 12:11:51 GMT", "version": "v2" }, { "created": "Sat, 15 Jan 2005 12:58:46 GMT", "version": "v3" } ]

2009-11-10

[ [ "Mukhopadhyaya", "Biswarup", "" ], [ "SenGupta", "Soumitra", "" ] ]

We investigate the split supersymmetry (SUSY) scenario recently proposed by Arkani-Hamed and Dimopoulos, where the scalars are heavy but the fermions are within the TeV range. We show that the sparticle spectrum in such a case crucially depends on the specific details of the mechanism underlying the SUSY breaking scheme, and the accelerator signals are also affected by it. In particular, we demonstrate in the context of a braneworld-inspired model, used as illustration in the original work, that a new fermion $\psi_X$, arising from the SUSY breaking sector, is shown to control low-energy phenomenology in several cases. Also, SUSY signals are characterised by the associated production of the light neutral Higgs. In an alternative scenario where the gauginos are assumed to propagate in the bulk, we find that gluinos can be heavy and short-lived, and the SUSY breaking scale can be free of cosmological constraints

10.062272

11.690407

9.754655

9.392529

10.237732

10.701198

10.926536

10.858369

9.089884

10.035722

9.90238

10.062512

9.337167

9.268185

9.781572

9.950397

9.483438

9.947527

9.191888

9.229939

9.799123

2207.11626

Oscar Acevedo

O. A. Acevedo and B. M. Pimentel

Quantum electrodynamics in the null-plane causal perturbation theory

To be published in Phys. Rev. D

null

10.1103/PhysRevD.106.016014

null

hep-th

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

We study quantum electrodynamics (QED) in the light-front dynamical form by using null-plane causal perturbation theory. We establish the equivalence with instant dynamics for the scattering processes, whose normalization allows to construct the instantaneous terms of the usual null-plane QED Lagrangian density. Then we study vacuum polarization and normalize it by studying its insertions into M{\o}ller's scattering process, obtaining the complete photon's propagator, which turns to be equivalent to the one of instant dynamics only when gauge invariance is taken into account.

[ { "created": "Sun, 24 Jul 2022 00:57:50 GMT", "version": "v1" } ]

2022-08-17

[ [ "Acevedo", "O. A.", "" ], [ "Pimentel", "B. M.", "" ] ]

We study quantum electrodynamics (QED) in the light-front dynamical form by using null-plane causal perturbation theory. We establish the equivalence with instant dynamics for the scattering processes, whose normalization allows to construct the instantaneous terms of the usual null-plane QED Lagrangian density. Then we study vacuum polarization and normalize it by studying its insertions into M{\o}ller's scattering process, obtaining the complete photon's propagator, which turns to be equivalent to the one of instant dynamics only when gauge invariance is taken into account.

17.623894

17.088453

18.345661

16.196165

18.94709

17.453026

16.892

17.476068

16.623753

15.584463

16.031212

17.430475

17.345301

16.999466

17.606148

17.352684

16.922962

16.977144

16.920889

17.040129

16.781662

1203.1171

Joyce Myers

Joyce C. Myers

Bekenstein entropy bound for weakly-coupled field theories on a 3-sphere

32 pages, 12 figures. v2: Clarifications added. JHEP version

null

10.1007/JHEP06(2012)047

null

hep-th

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

We calculate the high temperature partition functions for SU(Nc) or U(Nc) gauge theories in the deconfined phase on S^1 x S^3, with scalars, vectors, and/or fermions in an arbitrary representation, at zero 't Hooft coupling and large Nc, using analytical methods. We compare these with numerical results which are also valid in the low temperature limit and show that the Bekenstein entropy bound resulting from the partition functions for theories with any amount of massless scalar, fermionic, and/or vector matter is always satisfied when the zero-point contribution is included, while the theory is sufficiently far from a phase transition. We further consider the effect of adding massive scalar or fermionic matter and show that the Bekenstein bound is satisfied when the Casimir energy is regularized under the constraint that it vanishes in the large mass limit. These calculations can be generalized straightforwardly for the case of a different number of spatial dimensions.

[ { "created": "Tue, 6 Mar 2012 11:32:41 GMT", "version": "v1" }, { "created": "Wed, 13 Jun 2012 09:32:35 GMT", "version": "v2" } ]

2015-06-04

[ [ "Myers", "Joyce C.", "" ] ]

We calculate the high temperature partition functions for SU(Nc) or U(Nc) gauge theories in the deconfined phase on S^1 x S^3, with scalars, vectors, and/or fermions in an arbitrary representation, at zero 't Hooft coupling and large Nc, using analytical methods. We compare these with numerical results which are also valid in the low temperature limit and show that the Bekenstein entropy bound resulting from the partition functions for theories with any amount of massless scalar, fermionic, and/or vector matter is always satisfied when the zero-point contribution is included, while the theory is sufficiently far from a phase transition. We further consider the effect of adding massive scalar or fermionic matter and show that the Bekenstein bound is satisfied when the Casimir energy is regularized under the constraint that it vanishes in the large mass limit. These calculations can be generalized straightforwardly for the case of a different number of spatial dimensions.

9.971659

9.987079

10.400141

9.511256

9.562249

9.961648

10.11375

9.572058

9.275628

10.404446

9.16088

9.132028

9.787653

9.3269

9.286534

9.187664

9.419034

9.081143

9.671299

10.033337

9.337079

0905.0540

Yeuk-Kwan Edna Cheung

Yeuk-Kwan E. Cheung and Laurent Freidel

Inner brane: A D3-brane in the Nappi-Witten model from an inner group automorphism

title and abstract changed; improved presentation; references added; version to appear in PRD

Phys.Rev.D79:126007,2009

10.1103/PhysRevD.79.126007

null

hep-th math.GT math.OA math.QA

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

WZW models are abstract conformal field theories with an infinite dimensional symmetry which accounts for their integrability, and at the same time they have a sigma model description of closed string propagation on group manifolds which, in turn, endows the models with an intuitive geometric meaning. We exploit this dual algebraic and geometric property of WZW models to construct an explicit example of a field-dependent reflection matrix for open-strings in Nappi-Witten model. Demanding the momentum outflow at the boundary to be zero determines a certain combination of the left and right chiral currents at the boundary. This same reflection matrix is obtained algebraically from an inner automorphism, giving rise to a space-filling D-brane. Half of the infinite dimensional affine Kac-Moody symmetry present in the closed-string theory is preserved by this unique combination of the left and the right chiral currents. The OPEs of these boundary currents are computed explicitly and they are showed to obey the same current algebra as those of the closed-string chiral currents. Different choices of the inner automorphisms correspond to different background gauge field configurations. Only those B-field configurations, and the corresponding D-branes, that preserve the diagonal part of the infinite dimensional chiral algebras are allowed. In this way the existence of the D-branes in curved spaces is further constrained by the underlying symmetry of the ambient spacetime.

[ { "created": "Tue, 5 May 2009 08:34:59 GMT", "version": "v1" }, { "created": "Fri, 22 May 2009 03:32:10 GMT", "version": "v2" } ]

2009-08-20

[ [ "Cheung", "Yeuk-Kwan E.", "" ], [ "Freidel", "Laurent", "" ] ]

WZW models are abstract conformal field theories with an infinite dimensional symmetry which accounts for their integrability, and at the same time they have a sigma model description of closed string propagation on group manifolds which, in turn, endows the models with an intuitive geometric meaning. We exploit this dual algebraic and geometric property of WZW models to construct an explicit example of a field-dependent reflection matrix for open-strings in Nappi-Witten model. Demanding the momentum outflow at the boundary to be zero determines a certain combination of the left and right chiral currents at the boundary. This same reflection matrix is obtained algebraically from an inner automorphism, giving rise to a space-filling D-brane. Half of the infinite dimensional affine Kac-Moody symmetry present in the closed-string theory is preserved by this unique combination of the left and the right chiral currents. The OPEs of these boundary currents are computed explicitly and they are showed to obey the same current algebra as those of the closed-string chiral currents. Different choices of the inner automorphisms correspond to different background gauge field configurations. Only those B-field configurations, and the corresponding D-branes, that preserve the diagonal part of the infinite dimensional chiral algebras are allowed. In this way the existence of the D-branes in curved spaces is further constrained by the underlying symmetry of the ambient spacetime.

10.318094

11.203672

11.660689

10.068294

11.458873

11.798935

11.762688

10.367231

9.917012

11.609776

10.305529

10.108356

10.222797

10.136075

10.091913

10.018039

10.13427

9.954561

10.165676

10.084005

10.08181

1206.2723

Chunshan Lin

A. Emir Gumrukcuoglu, Chunshan Lin and Shinji Mukohyama

Anisotropic Friedmann-Robertson-Walker universe from nonlinear massive gravity

4 pages, 1 figure, REVTeX4; V2 with minor revison, and to appear on PLB

Phys. Lett. B717 (2012) 295

10.1016/j.physletb.2012.09.049

IPMU12-0123

hep-th astro-ph.CO gr-qc

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

In the scope of the nonlinear massive gravity, we study fixed points of evolution equations for a Bianchi type--I universe. We find a new attractor solution with non-vanishing anisotropy, on which the physical metric is isotropic but the Stuckelberg configuration is anisotropic. As a result, at the background level, the solution describes a homogeneous and isotropic universe, while a statistical anisotropy is expected from perturbations, suppressed by smallness of the graviton mass.

[ { "created": "Wed, 13 Jun 2012 05:56:34 GMT", "version": "v1" }, { "created": "Mon, 1 Oct 2012 07:38:06 GMT", "version": "v2" } ]

2012-10-17

[ [ "Gumrukcuoglu", "A. Emir", "" ], [ "Lin", "Chunshan", "" ], [ "Mukohyama", "Shinji", "" ] ]

In the scope of the nonlinear massive gravity, we study fixed points of evolution equations for a Bianchi type--I universe. We find a new attractor solution with non-vanishing anisotropy, on which the physical metric is isotropic but the Stuckelberg configuration is anisotropic. As a result, at the background level, the solution describes a homogeneous and isotropic universe, while a statistical anisotropy is expected from perturbations, suppressed by smallness of the graviton mass.

9.774044

8.644224

8.595911

7.763127

8.272781

7.924926

8.550947

7.078033

8.713158

8.632761

8.517187

8.191371

8.68556

8.382973

8.486635

8.61778

8.629061

8.156052

8.522085

8.260771

8.618942

2005.07708

Bernardo Zan

Victor Gorbenko and Bernardo Zan

Two-dimensional O(n) models and logarithmic CFTs

v2: journal version

null

10.1007/JHEP10(2020)099

null

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

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

We study O(n)-symmetric two-dimensional conformal field theories (CFTs) for a continuous range of n below two. These CFTs describe the fixed point behavior of self-avoiding loops. There is a pair of known fixed points connected by an RG flow. When n is equal to two, which corresponds to the Kosterlitz-Thouless critical theory, the fixed points collide. We find that for n generic these CFTs are logarithmic and contain negative norm states; in particular, the O(n) currents belong to a staggered logarithmic multiplet. Using a conformal bootstrap approach we trace how the negative norm states decouple at n = 2, restoring unitarity. The IR fixed point possesses a local relevant operator, singlet under all known global symmetries of the CFT, and, nevertheless, it can be reached by an RG flow without tuning. Besides, we observe logarithmic correlators in the closely related Potts model.

[ { "created": "Fri, 15 May 2020 18:00:00 GMT", "version": "v1" }, { "created": "Wed, 15 Dec 2021 17:26:11 GMT", "version": "v2" } ]

2021-12-16

[ [ "Gorbenko", "Victor", "" ], [ "Zan", "Bernardo", "" ] ]

We study O(n)-symmetric two-dimensional conformal field theories (CFTs) for a continuous range of n below two. These CFTs describe the fixed point behavior of self-avoiding loops. There is a pair of known fixed points connected by an RG flow. When n is equal to two, which corresponds to the Kosterlitz-Thouless critical theory, the fixed points collide. We find that for n generic these CFTs are logarithmic and contain negative norm states; in particular, the O(n) currents belong to a staggered logarithmic multiplet. Using a conformal bootstrap approach we trace how the negative norm states decouple at n = 2, restoring unitarity. The IR fixed point possesses a local relevant operator, singlet under all known global symmetries of the CFT, and, nevertheless, it can be reached by an RG flow without tuning. Besides, we observe logarithmic correlators in the closely related Potts model.

10.726595

11.528012

11.874663

10.426393

10.469457

10.240469

11.304892

10.987055

10.798512

13.842752

10.568643

10.523161

10.757873

10.046331

9.993694

9.942811

9.96731

10.134616

10.338491

10.685013

9.542997

2005.07072

Adolfo Guarino

Adolfo Guarino, Javier Tarrio, Oscar Varela

Brane-jet stability of non-supersymmetric AdS vacua

20 pages plus appendices, 4 figures and 3 tables

null

10.1007/JHEP09(2020)110

null

hep-th

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

We classify the non-supersymmetric, and perturbatively stable within $D=4$, AdS vacua of maximal $D=4$ supergravity with a dyonic ISO(7) gauging in a large sector of the supergravity. Seven such vacua are established within this sector, all of them giving rise to non-supersymmetric $\textrm{AdS}_{4} \times \textrm{S}^{6}$ type IIA backgrounds with and without non-trivial warpings and with internal fluxes. Then, we analyse the dynamics of various probe D$p$-branes in these backgrounds searching for potential brane-jet instabilities. In all these cases, such instabilities are absent. Finally, an alternative decay channel through tunnelling is investigated, focusing on one of the seven backgrounds. We do not find instabilities either, but the analysis remains inconclusive.

[ { "created": "Thu, 14 May 2020 15:40:16 GMT", "version": "v1" } ]

2020-10-28

[ [ "Guarino", "Adolfo", "" ], [ "Tarrio", "Javier", "" ], [ "Varela", "Oscar", "" ] ]

We classify the non-supersymmetric, and perturbatively stable within $D=4$, AdS vacua of maximal $D=4$ supergravity with a dyonic ISO(7) gauging in a large sector of the supergravity. Seven such vacua are established within this sector, all of them giving rise to non-supersymmetric $\textrm{AdS}_{4} \times \textrm{S}^{6}$ type IIA backgrounds with and without non-trivial warpings and with internal fluxes. Then, we analyse the dynamics of various probe D$p$-branes in these backgrounds searching for potential brane-jet instabilities. In all these cases, such instabilities are absent. Finally, an alternative decay channel through tunnelling is investigated, focusing on one of the seven backgrounds. We do not find instabilities either, but the analysis remains inconclusive.

9.530396

8.239556

10.338982

8.484023

9.429822

9.61129

8.484616

8.013921

8.612993

11.014655

8.460797

9.005173

10.114877

9.196546

8.950789

8.903343

8.920713

9.028961

9.009303

9.921212

9.015291

hep-th/9407090

Kurt Haller

Kurt Haller and Edwin Lim-Lombridas (University of Connecticut)

Anyonic States in Chern-Simons Theory

UCONN-92-2, RevTeX, 22 pages. A revised version of an earlier paper of the same title

Phys.Rev. D50 (1994) 7519-7530

10.1103/PhysRevD.50.7519

null

hep-th

null

We discuss the canonical quantization of Chern-Simons theory in $2+1$ dimensions, minimally coupled to a Dirac spinor field, first in the temporal gauge and then in the Coulomb gauge. In our temporal gauge formulation, Gauss's law and the gauge condition, $A_0 = 0$, are implemented by embedding the formulation in an appropriate physical subspace. We construct a Fock space of charged particle states that satisfy Gauss's law, and show that they obey fermion, not fractional statistics. The gauge-invariant spinor field that creates these charged states from the vacuum obeys the anticommutation rules that generally apply to spinor fields. The Hamiltonian, when described in the representation in which the charged fermions are the propagating particle excitations that obey Gauss's law, contains an interaction between charge and transverse current densities. We observe that the implementation of Gauss's law and the gauge condition does not require us to use fields with graded commutator algebras or particle excitations with fractional statistics. In our Coulomb gauge formulation, we implement Gauss's law and the gauge condition, $\partial_lA_l=0$, by the Dirac-Bergmann procedure. In this formulation, the constrained gauge fields become functionals of the spinor fields, and are not independent degrees of freedom. The formulation in the Coulomb gauge confirms the results we obtained in the temporal gauge: The ``Dirac-Bergmann'' anticommutation rule for the charged spinor fields $\psi$ and $\psi^\dagger$ that have both been constrained to obey Gauss's law, is precisely identical to the canonical spinor anticommutation rule that generates standard fermion statistics. And we also show that the Hamiltonians for charged particle states in our temporal and Coulomb gauge formulations are identical, once Gauss's law

[ { "created": "Fri, 15 Jul 1994 18:41:40 GMT", "version": "v1" } ]

2009-10-28

[ [ "Haller", "Kurt", "", "University of Connecticut" ], [ "Lim-Lombridas", "Edwin", "", "University of Connecticut" ] ]

We discuss the canonical quantization of Chern-Simons theory in $2+1$ dimensions, minimally coupled to a Dirac spinor field, first in the temporal gauge and then in the Coulomb gauge. In our temporal gauge formulation, Gauss's law and the gauge condition, $A_0 = 0$, are implemented by embedding the formulation in an appropriate physical subspace. We construct a Fock space of charged particle states that satisfy Gauss's law, and show that they obey fermion, not fractional statistics. The gauge-invariant spinor field that creates these charged states from the vacuum obeys the anticommutation rules that generally apply to spinor fields. The Hamiltonian, when described in the representation in which the charged fermions are the propagating particle excitations that obey Gauss's law, contains an interaction between charge and transverse current densities. We observe that the implementation of Gauss's law and the gauge condition does not require us to use fields with graded commutator algebras or particle excitations with fractional statistics. In our Coulomb gauge formulation, we implement Gauss's law and the gauge condition, $\partial_lA_l=0$, by the Dirac-Bergmann procedure. In this formulation, the constrained gauge fields become functionals of the spinor fields, and are not independent degrees of freedom. The formulation in the Coulomb gauge confirms the results we obtained in the temporal gauge: The ``Dirac-Bergmann'' anticommutation rule for the charged spinor fields $\psi$ and $\psi^\dagger$ that have both been constrained to obey Gauss's law, is precisely identical to the canonical spinor anticommutation rule that generates standard fermion statistics. And we also show that the Hamiltonians for charged particle states in our temporal and Coulomb gauge formulations are identical, once Gauss's law

6.837917

8.109743

7.945082

7.070346

7.710068

7.119805

7.285938

7.193008

6.99239

7.900856

7.125291

6.964836

7.201752

7.032083

7.134385

6.773659

7.145565

7.0355

7.007704

7.267129

6.868198

2206.00283

Sinya Aoki

Noether's 1st theorem with local symmetries

7 pages, several major revisions for the published version

PTEP 2022, No.12 (2022) 123A02

10.1093/ptep/ptac160

YITP-22-58

hep-th gr-qc hep-lat hep-ph

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

Noether's 2nd theorem applied to a total system states that a global symmetry which is a part of local symmetries does not provide a physically meaningful conserved charge but it instead leads to off-shell constraints as a form of conserved currents. In this paper, we propose a general method to derive a matter conserved current associated with a special global symmetry in the presence of local symmetries. While currents derived from local symmetries of a matter sector with a covariant background gauge field are not conserved in general, we show that the current associated with a special type of a global symmetry, called a hidden matter symmetry, is on-shell conserved. We apply this derivation to a $U(1)$ gauge theory, general relativity and a non-abelian gauge theory. In general relativity, the associated conserved charge agrees with the one recently proposed from a different point of view.

[ { "created": "Wed, 1 Jun 2022 07:36:32 GMT", "version": "v1" }, { "created": "Fri, 10 Jun 2022 03:59:47 GMT", "version": "v2" }, { "created": "Thu, 5 Jan 2023 03:53:29 GMT", "version": "v3" } ]

2023-01-06

[ [ "Aoki", "Sinya", "" ] ]

Noether's 2nd theorem applied to a total system states that a global symmetry which is a part of local symmetries does not provide a physically meaningful conserved charge but it instead leads to off-shell constraints as a form of conserved currents. In this paper, we propose a general method to derive a matter conserved current associated with a special global symmetry in the presence of local symmetries. While currents derived from local symmetries of a matter sector with a covariant background gauge field are not conserved in general, we show that the current associated with a special type of a global symmetry, called a hidden matter symmetry, is on-shell conserved. We apply this derivation to a $U(1)$ gauge theory, general relativity and a non-abelian gauge theory. In general relativity, the associated conserved charge agrees with the one recently proposed from a different point of view.

8.462443

8.483324

8.716463

7.96686

8.054466

8.743394

8.181702

8.119929

8.315255

8.716664

7.881643

7.711187

7.730093

7.618953

7.708206

7.56052

7.57514

7.703425

7.592923

7.769138

7.411193

1905.09799

Andrea Puhm

Conformally Soft Theorem In Gravity

16 pages

null

10.1007/JHEP09(2020)130

CPHT-RR021.052019

hep-th

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

A central feature of scattering amplitudes in gravity or gauge theory is the existence of a variety of energetically soft theorems which put constraints on the amplitudes. Celestial amplitudes which are obtained from momentum-space amplitudes by a Mellin transform over the external particle energies cannot obey the usual energetically soft theorems. Instead, the symmetries of the celestial sphere imply that the scattering of conformally soft particles whose conformal weights under the 4D Lorentz group SL(2,C) are taken to zero obey special relations. Such conformally soft theorems have recently been found for gauge theory. Here, I show conformally soft factorization of celestial amplitudes for gravity and identify it as the celestial analogue of Weinberg's soft graviton theorem.

[ { "created": "Thu, 23 May 2019 17:48:33 GMT", "version": "v1" } ]

2020-10-28

[ [ "Puhm", "Andrea", "" ] ]

A central feature of scattering amplitudes in gravity or gauge theory is the existence of a variety of energetically soft theorems which put constraints on the amplitudes. Celestial amplitudes which are obtained from momentum-space amplitudes by a Mellin transform over the external particle energies cannot obey the usual energetically soft theorems. Instead, the symmetries of the celestial sphere imply that the scattering of conformally soft particles whose conformal weights under the 4D Lorentz group SL(2,C) are taken to zero obey special relations. Such conformally soft theorems have recently been found for gauge theory. Here, I show conformally soft factorization of celestial amplitudes for gravity and identify it as the celestial analogue of Weinberg's soft graviton theorem.

9.382476

9.076409

10.693

9.203866

8.982409

9.915409

9.454291

8.847071

9.748073

11.457141

8.751299

8.552092

9.271766

8.969397

8.864801

9.023383

9.042772

9.33989

8.838629

9.27513

8.713022

1404.7507

Carlos Hoyos Badajoz

Carlos Hoyos, Bom Soo Kim and Yaron Oz

Odd Parity Transport In Non-Abelian Superfluids From Symmetry Locking

44 pages, updated references, new appendix with discussion about entropy current, conclusions unchanged. Published version

null

10.1007/JHEP10(2014)127

null

hep-th cond-mat.str-el

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

We consider relativistic non-Abelian superfluids, where the expectation value of the global symmetry currents relate space and internal indices, thus creating a "locked" phase. Locking a superfluid with SU(2) internal symmetry in 2+1 dimensions breaks parity spontaneously, and introduces parity-odd terms in the constitutive relations. We show that there are qualitatively different extensions of the rest frame locking to non-zero velocities. We construct the resulting superfluid hydrodynamics up to the first derivative order. Using an expansion close to the critical point, we estimate the ratio of the Hall viscosity and the angular momentum density. Our general hydrodynamic results are compatible with the holographic p-wave calculations in arXiv:1311.4882.

[ { "created": "Tue, 29 Apr 2014 20:00:18 GMT", "version": "v1" }, { "created": "Wed, 22 Oct 2014 11:32:18 GMT", "version": "v2" } ]

2015-06-19

[ [ "Hoyos", "Carlos", "" ], [ "Kim", "Bom Soo", "" ], [ "Oz", "Yaron", "" ] ]

We consider relativistic non-Abelian superfluids, where the expectation value of the global symmetry currents relate space and internal indices, thus creating a "locked" phase. Locking a superfluid with SU(2) internal symmetry in 2+1 dimensions breaks parity spontaneously, and introduces parity-odd terms in the constitutive relations. We show that there are qualitatively different extensions of the rest frame locking to non-zero velocities. We construct the resulting superfluid hydrodynamics up to the first derivative order. Using an expansion close to the critical point, we estimate the ratio of the Hall viscosity and the angular momentum density. Our general hydrodynamic results are compatible with the holographic p-wave calculations in arXiv:1311.4882.

13.215009

12.053329

14.272244

12.270153

13.382622

12.140925

13.218008

12.815683

12.393851

16.859865

12.238471

12.062959

12.785771

12.639902

12.469022

11.918383

12.252062

12.198678

11.768619

13.726147

12.034382

2210.00031

Lilia Anguelova

Lilia Anguelova, Calin Iuliu Lazaroiu

Dynamical consistency conditions for rapid turn inflation

39 pages; minor improvements, references and appendix added

JCAP 05 (2023) 020

10.1088/1475-7516/2023/05/020

null

hep-th astro-ph.CO gr-qc

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

We derive consistency conditions for sustained slow roll and rapid turn inflation in two-field cosmological models with oriented scalar field space, which imply that inflationary models with field-space trajectories of this type are non-generic. In particular, we show that third order adiabatic slow roll, together with large and slowly varying turn rate, requires the scalar potential of the model to satisfy a certain nonlinear second order PDE, whose coefficients depend on the scalar field metric. We also derive consistency conditions for slow roll inflationary solutions in the so called ``rapid turn attractor'' approximation, as well as study the consistency conditions for circular rapid turn trajectories with slow roll in two-field models with rotationally invariant field space metric. Finally, we argue that the rapid turn regime tends to have a natural exit after a limited number of e-folds.

[ { "created": "Fri, 30 Sep 2022 18:18:23 GMT", "version": "v1" }, { "created": "Fri, 28 Oct 2022 11:44:18 GMT", "version": "v2" }, { "created": "Tue, 18 Apr 2023 20:33:30 GMT", "version": "v3" } ]

2023-05-18

[ [ "Anguelova", "Lilia", "" ], [ "Lazaroiu", "Calin Iuliu", "" ] ]

We derive consistency conditions for sustained slow roll and rapid turn inflation in two-field cosmological models with oriented scalar field space, which imply that inflationary models with field-space trajectories of this type are non-generic. In particular, we show that third order adiabatic slow roll, together with large and slowly varying turn rate, requires the scalar potential of the model to satisfy a certain nonlinear second order PDE, whose coefficients depend on the scalar field metric. We also derive consistency conditions for slow roll inflationary solutions in the so called ``rapid turn attractor'' approximation, as well as study the consistency conditions for circular rapid turn trajectories with slow roll in two-field models with rotationally invariant field space metric. Finally, we argue that the rapid turn regime tends to have a natural exit after a limited number of e-folds.

12.5547

12.392409

13.293584

11.926003

12.946187

13.110628

11.706766

11.640145

11.793895

14.984773

12.325585

12.571596

12.896895

12.152983

12.225427

12.525498

12.319326

12.335429

11.889789

12.392312

12.199713

2110.03897

E. Harikumar

E. Harikumar and Vishnu Rajagopal

Quantisation of Lorentz invariant scalar field theory in non-commutative space-time and its consequence

25 pages

Nuclear Physics B 974 (2022) 115633

10.1016/j.nuclphysb.2021.115633

null

hep-th

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

Quantisation of Lorentz invariant scalar field theory in Doplicher-Fredenhagen-Roberts (DFR) space-time, a Lorentz invariant, non-commutative space-time is studied. Absence of a unique Lagrangian in non-commutative space-time necessitates us to use an approach to quantisation that is based on the equations of motion alone. Using this we derive the equal time commutation relation between Doplicher-Fredenhagen-Roberts-Amorim (DFRA) scalar field and its conjugate, which has non-commutative dependent modifications, but the corresponding creation and annihilation operators obey usual algebra. We show that imposing the condition that the commutation relation between the field and its conjugate is same as that in the commutative space-time leads to a deformation of the algebra of quantised oscillators. Both these deformed commutation relations derived are valid to all orders in the non-commutative parameter. By analysing the first non-vanishing terms which are $\theta^3$ order, we show that the deformed commutaton relations scale as $1/\lambda^4$, where $\lambda$ is the length scale set by the non-commutativity of the space-time. We also derive the conserved currents for DFRA scalar field. Further, we analyse the effects of non-commutativity on Unruh effect by analysing a detector coupled to the DFRA scalar field, showing that the Unruh temperature is not modified but the thermal radiation seen by the accelerated observer gets correction due to the non-commutativity of space-time.

[ { "created": "Fri, 8 Oct 2021 05:27:10 GMT", "version": "v1" } ]

2022-01-11

[ [ "Harikumar", "E.", "" ], [ "Rajagopal", "Vishnu", "" ] ]

Quantisation of Lorentz invariant scalar field theory in Doplicher-Fredenhagen-Roberts (DFR) space-time, a Lorentz invariant, non-commutative space-time is studied. Absence of a unique Lagrangian in non-commutative space-time necessitates us to use an approach to quantisation that is based on the equations of motion alone. Using this we derive the equal time commutation relation between Doplicher-Fredenhagen-Roberts-Amorim (DFRA) scalar field and its conjugate, which has non-commutative dependent modifications, but the corresponding creation and annihilation operators obey usual algebra. We show that imposing the condition that the commutation relation between the field and its conjugate is same as that in the commutative space-time leads to a deformation of the algebra of quantised oscillators. Both these deformed commutation relations derived are valid to all orders in the non-commutative parameter. By analysing the first non-vanishing terms which are $\theta^3$ order, we show that the deformed commutaton relations scale as $1/\lambda^4$, where $\lambda$ is the length scale set by the non-commutativity of the space-time. We also derive the conserved currents for DFRA scalar field. Further, we analyse the effects of non-commutativity on Unruh effect by analysing a detector coupled to the DFRA scalar field, showing that the Unruh temperature is not modified but the thermal radiation seen by the accelerated observer gets correction due to the non-commutativity of space-time.

6.257117

6.161998

6.826707

5.936553

6.360295

6.092583

6.078462

5.93137

5.952669

6.796464

6.052975

6.015045

6.323837

6.029385

6.059757

6.07158

6.103273

5.973645

6.078953

6.206995

6.140049

hep-th/0405201

Badis Ydri

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

A Gauge-Invariant UV-IR Mixing and The Corresponding Phase Transition For U(1) Fields on the Fuzzy Sphere

41 pages, 4 figures . Introduction rewritten extensively to include a summary of the main results of the paper

Nucl.Phys. B704 (2005) 111-153

10.1016/j.nuclphysb.2004.10.032

null

hep-th

null

From a string theory point of view the most natural gauge action on the fuzzy sphere {\bf S}^2_L is the Alekseev-Recknagel-Schomerus action which is a particular combination of the Yang-Mills action and the Chern-Simons term . Since the differential calculus on the fuzzy sphere is 3-dimensional the field content of this model consists naturally of a 2-dimensional gauge field together with a scalar fluctuation normal to the sphere . For U(1) gauge theory we compute the quadratic effective action and shows explicitly that the tadpole diagrams and the vacuum polarization tensor contain a gauge-invariant UV-IR mixing in the continuum limit L{\longrightarrow}{\infty} where L is the matrix size of the fuzzy sphere. In other words the quantum U(1) effective action does not vanish in the commutative limit and a noncommutative anomaly survives . We compute the scalar effective potential and prove the gauge-fixing-independence of the limiting model L={\infty} and then show explicitly that the one-loop result predicts a first order phase transition which was observed recently in simulation . The one-loop result for the U(1) theory is exact in this limit . It is also argued that if we add a large mass term for the scalar mode the UV-IR mixing will be completely removed from the gauge sector . It is found in this case to be confined to the scalar sector only. This is in accordance with the large L analysis of the model . Finally we show that the phase transition becomes harder to reach starting from small couplings when we increase M .

[ { "created": "Sun, 23 May 2004 13:26:17 GMT", "version": "v1" }, { "created": "Tue, 1 Jun 2004 12:14:05 GMT", "version": "v2" }, { "created": "Sat, 25 Sep 2004 18:43:06 GMT", "version": "v3" } ]

2009-11-10

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

From a string theory point of view the most natural gauge action on the fuzzy sphere {\bf S}^2_L is the Alekseev-Recknagel-Schomerus action which is a particular combination of the Yang-Mills action and the Chern-Simons term . Since the differential calculus on the fuzzy sphere is 3-dimensional the field content of this model consists naturally of a 2-dimensional gauge field together with a scalar fluctuation normal to the sphere . For U(1) gauge theory we compute the quadratic effective action and shows explicitly that the tadpole diagrams and the vacuum polarization tensor contain a gauge-invariant UV-IR mixing in the continuum limit L{\longrightarrow}{\infty} where L is the matrix size of the fuzzy sphere. In other words the quantum U(1) effective action does not vanish in the commutative limit and a noncommutative anomaly survives . We compute the scalar effective potential and prove the gauge-fixing-independence of the limiting model L={\infty} and then show explicitly that the one-loop result predicts a first order phase transition which was observed recently in simulation . The one-loop result for the U(1) theory is exact in this limit . It is also argued that if we add a large mass term for the scalar mode the UV-IR mixing will be completely removed from the gauge sector . It is found in this case to be confined to the scalar sector only. This is in accordance with the large L analysis of the model . Finally we show that the phase transition becomes harder to reach starting from small couplings when we increase M .

10.441381

11.846272

11.734909

10.748651

11.654694

10.960533

10.611759

11.125044

10.365022

13.060321

10.493215

10.436753

10.68675

10.452385

10.315959

10.17035

10.429174

10.166403

10.324546

10.832299

10.359753

1909.04731

Anderson A. Nogueira

C. A. Bonin, G. B. de Gracia, A. A. Nogueira and B. M. Pimentel

Higgs Mechanism and Debye Screening in the Generalized Electrodynamics

null

hep-th

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

In this work we study the Higgs mechanism and the Debye shielding for the Bopp-Podolsky theory of electrodynamics. We find that not only the massless sector of the Podolsky theory acquires a mass in both these phenomena, but also that its massive sector has its mass changed. Furthermore, we find a mathematical analogy in the way these masses change between these two mechanisms. Besides exploring the behaviour of the screened potentials, we find a temperature for which the presence of the generalized gauge field may be experimentally detected.

[ { "created": "Tue, 10 Sep 2019 20:20:12 GMT", "version": "v1" } ]

2019-09-12

[ [ "Bonin", "C. A.", "" ], [ "de Gracia", "G. B.", "" ], [ "Nogueira", "A. A.", "" ], [ "Pimentel", "B. M.", "" ] ]

In this work we study the Higgs mechanism and the Debye shielding for the Bopp-Podolsky theory of electrodynamics. We find that not only the massless sector of the Podolsky theory acquires a mass in both these phenomena, but also that its massive sector has its mass changed. Furthermore, we find a mathematical analogy in the way these masses change between these two mechanisms. Besides exploring the behaviour of the screened potentials, we find a temperature for which the presence of the generalized gauge field may be experimentally detected.

12.473073

11.950613

12.000129

11.226713

12.936492

10.923213

12.574162

10.886689

11.717382

12.237502

11.193113

10.713076

11.732989

11.664273

11.680085

11.07241

10.654347

10.788307

11.653793

11.726972

11.346232

0904.1831

Christoph Keller

Matthias R. Gaberdiel, Christoph A. Keller

Differential operators for elliptic genera

18 pages

null

hep-th math.NT

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

Using the generalisation of Zhu's recursion relations to N=2 superconformal field theories we construct modular covariant differential operators for weak Jacobi forms. We show that differential operators of this type characterise the elliptic genera of N=2 superconformal minimal models, and sketch how they can be used to constrain extremal N=2 superconformal field theories.

[ { "created": "Sun, 12 Apr 2009 00:18:37 GMT", "version": "v1" } ]

2009-04-14

[ [ "Gaberdiel", "Matthias R.", "" ], [ "Keller", "Christoph A.", "" ] ]

Using the generalisation of Zhu's recursion relations to N=2 superconformal field theories we construct modular covariant differential operators for weak Jacobi forms. We show that differential operators of this type characterise the elliptic genera of N=2 superconformal minimal models, and sketch how they can be used to constrain extremal N=2 superconformal field theories.

8.054032

5.512855

8.184973

5.796124

5.751044

6.244893

6.20423

5.9089

6.340971

10.025454

6.494402

6.138884

7.562772

6.2329

6.376719

6.28547

6.20296

6.267245

5.966469

7.757301

6.103747

0912.2270

Stefano Giusto

Stefano Giusto, Jose F. Morales, Rodolfo Russo

D1D5 microstate geometries from string amplitudes

21 pages; added references

JHEP 1003:130,2010

10.1007/JHEP03(2010)130

QMUL-PH-09-27, ROM2F/2009/27

hep-th

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

We reproduce the asymptotic expansion of the D1D5 microstate geometries by computing the emission amplitudes of closed string states from disks with mixed D1D5 boundary conditions. Thus we provide a direct link between the supergravity and D-brane descriptions of the D1D5 microstates at non-zero string coupling. Microscopically, the profile functions characterizing the microstate solutions are encoded in the choice of a condensate for the twisted open string states connecting D1 and D5 branes.

[ { "created": "Fri, 11 Dec 2009 16:11:03 GMT", "version": "v1" }, { "created": "Thu, 14 Jan 2010 09:53:41 GMT", "version": "v2" } ]

2010-04-08

[ [ "Giusto", "Stefano", "" ], [ "Morales", "Jose F.", "" ], [ "Russo", "Rodolfo", "" ] ]

We reproduce the asymptotic expansion of the D1D5 microstate geometries by computing the emission amplitudes of closed string states from disks with mixed D1D5 boundary conditions. Thus we provide a direct link between the supergravity and D-brane descriptions of the D1D5 microstates at non-zero string coupling. Microscopically, the profile functions characterizing the microstate solutions are encoded in the choice of a condensate for the twisted open string states connecting D1 and D5 branes.

9.223126

7.455691

9.137533

7.415428

7.413832

7.319702

7.175326

8.217215

7.313565

9.925807

7.512911

7.712046

9.423965

8.016632

8.129731

8.019859

7.952689

7.896153

7.751143

9.010499

7.79925

hep-th/9803124

Chris Hull

C.M. Hull

Decoupling Limits in M-Theory

23 Pages, Tex, Phyzzx Macro. Minor corrections

Nucl.Phys. B529 (1998) 207-224

10.1016/S0550-3213(98)00328-9

QMW-98-09, NSF-ITP-98-024

hep-th

null

Limits of a system of N Dn-branes in which the bulk and string degrees of freedom decouple to leave a `matter' theory are investigated and, for n>4, either give a free theory or require taking $N \to \infty$. The decoupled matter theory is described at low energies by the $N \to \infty$ limit of n+1 dimensional \sym, and at high energies by a free type II string theory in a curved space-time. Metastable bound states of D6-branes with mass $M$ and D0-branes with mass $m$ are shown to have an energy proportional to $M^{1/3}m^{2/3}$ and decouple, whereas in matrix theory they only decouple in the large N limit.

[ { "created": "Sun, 15 Mar 1998 20:18:19 GMT", "version": "v1" }, { "created": "Mon, 23 Mar 1998 17:43:51 GMT", "version": "v2" }, { "created": "Wed, 25 Mar 1998 15:42:51 GMT", "version": "v3" }, { "created": "Wed, 22 Apr 1998 16:36:43 GMT", "version": "v4" } ]

2009-10-31

[ [ "Hull", "C. M.", "" ] ]

Limits of a system of N Dn-branes in which the bulk and string degrees of freedom decouple to leave a `matter' theory are investigated and, for n>4, either give a free theory or require taking $N \to \infty$. The decoupled matter theory is described at low energies by the $N \to \infty$ limit of n+1 dimensional \sym, and at high energies by a free type II string theory in a curved space-time. Metastable bound states of D6-branes with mass $M$ and D0-branes with mass $m$ are shown to have an energy proportional to $M^{1/3}m^{2/3}$ and decouple, whereas in matrix theory they only decouple in the large N limit.

11.099811

10.185531

11.734212

10.214482

10.316797

10.508018

10.067831

9.65978

9.901524

12.026999

10.122152

9.249613

10.883341

9.354861

9.558611

9.570269

9.21279

9.40124

9.67226

10.122247

9.413498

1801.10352

Tatsuma Nishioka

Entanglement entropy: holography and renormalization group

61 pages, An invited review, Submitted to Reviews of Modern Physics, v2: typos corrected, references added, v3: a typo corrected

null

10.1103/RevModPhys.90.035007

UT-18-02

hep-th

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

Entanglement entropy plays a variety of roles in quantum field theory, including the connections between quantum states and gravitation through the holographic principle. This article provides a review of entanglement entropy from a mixed viewpoint of field theory and holography. A set of basic methods for the computation is developed and illustrated with simple examples such as free theories and conformal field theories. The structures of the ultraviolet divergences and the universal parts are determined and compared with the holographic descriptions of entanglement entropy. The utility of quantum inequalities of entanglement are discussed and shown to derive the C-theorem that constrains renormalization group flows of quantum field theories in diverse dimensions.

[ { "created": "Wed, 31 Jan 2018 08:47:14 GMT", "version": "v1" }, { "created": "Sun, 26 Aug 2018 07:15:17 GMT", "version": "v2" }, { "created": "Wed, 25 Dec 2019 01:25:01 GMT", "version": "v3" } ]

2019-12-30

[ [ "Nishioka", "Tatsuma", "" ] ]

Entanglement entropy plays a variety of roles in quantum field theory, including the connections between quantum states and gravitation through the holographic principle. This article provides a review of entanglement entropy from a mixed viewpoint of field theory and holography. A set of basic methods for the computation is developed and illustrated with simple examples such as free theories and conformal field theories. The structures of the ultraviolet divergences and the universal parts are determined and compared with the holographic descriptions of entanglement entropy. The utility of quantum inequalities of entanglement are discussed and shown to derive the C-theorem that constrains renormalization group flows of quantum field theories in diverse dimensions.

9.252225

8.091969

9.919935

8.70162

8.114344

8.481704

8.54833

8.631571

8.05996

10.020418

8.743045

8.188854

9.077838

8.520284

8.172948

8.210407

8.304686

8.686873

8.442925

9.133492

8.440183

hep-th/9911053

Ikemori

H. Ikemori, S. Kitakado, H. Otsu, T. Sato

Hopf Map and Quantization on Sphere

9 pages, LaTeX2e, uses amsmath.sty

Mod.Phys.Lett. A14 (1999) 2649-2656

10.1142/S0217732399002789

DPNU-99-33

hep-th

null

Quantization of a system constrained to move on a sphere is considered by taking a square root of the ``on sphere condition''. We arrive at the fibre bundle structure of the Hopf map in the cases of $S^{2} $and $S^{4}$. This leads to more geometrical understanding of monopole and instanton gauge structures that emerge in the course of quantization.

[ { "created": "Tue, 9 Nov 1999 03:06:33 GMT", "version": "v1" } ]

2009-10-31

[ [ "Ikemori", "H.", "" ], [ "Kitakado", "S.", "" ], [ "Otsu", "H.", "" ], [ "Sato", "T.", "" ] ]

Quantization of a system constrained to move on a sphere is considered by taking a square root of the ``on sphere condition''. We arrive at the fibre bundle structure of the Hopf map in the cases of $S^{2} $and $S^{4}$. This leads to more geometrical understanding of monopole and instanton gauge structures that emerge in the course of quantization.

16.677742

13.712459

14.949064

13.412158

13.767909

13.869443

13.349161

14.105687

13.303995

16.386978

13.427385

14.235592

14.548631

13.79855

13.659228

13.87371

13.630422

12.957947

13.363943

14.269763

13.957222

1510.08378

Stuart Dowker

J.S. Dowker

Conformal weights of charged Renyi entropy twist operators for free Dirac fields in arbitrary dimensions

12 pages, 3 figures

null

hep-th

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

The conformal weights of spherical twist operators at non--zero (Euclidean) chemical potential are computed for free Dirac fields in arbitrary dimensions. An image technique, equivalent to replicas, is again used to obtain the $n$--fold cover quantities. The proof of a conjecture made by Bueno, Myers and Witczac--Krempa regarding the relation between the conformal weights and a corner coefficient in the R\'enyi entropy, given before for scalar fields, is extended to the fermion case. The variation of the weights with chemical potential indicates phase changes.

[ { "created": "Wed, 28 Oct 2015 16:51:13 GMT", "version": "v1" } ]

2015-10-29

[ [ "Dowker", "J. S.", "" ] ]

The conformal weights of spherical twist operators at non--zero (Euclidean) chemical potential are computed for free Dirac fields in arbitrary dimensions. An image technique, equivalent to replicas, is again used to obtain the $n$--fold cover quantities. The proof of a conjecture made by Bueno, Myers and Witczac--Krempa regarding the relation between the conformal weights and a corner coefficient in the R\'enyi entropy, given before for scalar fields, is extended to the fermion case. The variation of the weights with chemical potential indicates phase changes.

23.004004

14.209706

24.248405

15.588491

14.004675

13.647302

14.250258

13.806941

13.400262

27.142738

15.143982

17.320616

17.883772

16.771095

17.126047

17.065943

17.990112

17.841047

16.346529

18.565596

18.069679

2106.03964

Leonard Susskind

De Sitter Holography: Fluctuations, Anomalous Symmetry, and Wormholes

55 pages, 17 figures

null

hep-th

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

The Goheer-Kleban-Susskind no-go theorem says that the symmetry of de Sitter space is incompatible with finite entropy. The meaning and consequences of the theorem are discussed in the light of recent developments in holography and gravitational path integrals. The relation between the GKS theorem, Boltzmann fluctuations, wormholes, and exponentially suppressed non-perturbative phenomena suggests: the classical symmetry between different static patches is broken; and that eternal de Sitter space -- if it exists at all -- is an ensemble average.

[ { "created": "Mon, 7 Jun 2021 20:57:23 GMT", "version": "v1" }, { "created": "Fri, 2 Jul 2021 20:36:39 GMT", "version": "v2" } ]

2021-07-06

[ [ "Susskind", "Leonard", "" ] ]

The Goheer-Kleban-Susskind no-go theorem says that the symmetry of de Sitter space is incompatible with finite entropy. The meaning and consequences of the theorem are discussed in the light of recent developments in holography and gravitational path integrals. The relation between the GKS theorem, Boltzmann fluctuations, wormholes, and exponentially suppressed non-perturbative phenomena suggests: the classical symmetry between different static patches is broken; and that eternal de Sitter space -- if it exists at all -- is an ensemble average.

17.799913

17.513504

16.780945

13.119433

16.644541

14.653857

17.322691

17.222652

15.092723

16.862453

14.945394

14.803323

14.025211

14.34923

13.724226

13.767596

14.128079

13.521921

13.631904

14.743912

13.455394

1304.4833

Humberto Belich

K. Bakke, H. Belich

Quantum Holonomies based on the Lorentz-violating tensor background

16 pages, no figures, to appear in J. Phys. G: Nucl. Part. Phys

null

10.1088/0954-3899/40/6/065002

null

hep-th quant-ph

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

We study geometric quantum phases corresponding to analogues of the Anandan quantum phase [J. Anandan, Phys. Lett. A {\bf138}, 347 (1989)] based on a possible scenario of the Lorentz symmetry violation background in a tensor background. We also show that quantum holonomies associated with the analogue of the Anandan quantum phase can be determined, and discuss a way of performing one-qubit quantum gates by analogy with the holonomic quantum computation [P. Zanardi and M. Rasetti, Phys. Lett. A {\bf264}, 94 (1999)].

[ { "created": "Wed, 17 Apr 2013 14:18:43 GMT", "version": "v1" } ]

2015-06-15

[ [ "Bakke", "K.", "" ], [ "Belich", "H.", "" ] ]

We study geometric quantum phases corresponding to analogues of the Anandan quantum phase [J. Anandan, Phys. Lett. A {\bf138}, 347 (1989)] based on a possible scenario of the Lorentz symmetry violation background in a tensor background. We also show that quantum holonomies associated with the analogue of the Anandan quantum phase can be determined, and discuss a way of performing one-qubit quantum gates by analogy with the holonomic quantum computation [P. Zanardi and M. Rasetti, Phys. Lett. A {\bf264}, 94 (1999)].

7.5553

5.913023

10.749302

6.644559

7.865943

6.864897

7.298847

6.433994

5.836971

9.770274

6.224104

6.738586

6.89465

6.735326

7.033047

7.200201

7.219926

7.068188

6.804173

7.075163

6.950237

1902.04534

Roldao da Rocha

Luiz F. Ferreira, R. da Rocha

Pion family in AdS/QCD: the next generation from configurational entropy

7 pages, 4 figs; chiral limit discussed. Matches the published version in PRD

Phys. Rev. D 99, 086001 (2019)

10.1103/PhysRevD.99.086001

null

hep-th hep-ph

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

The two flavour AdS/QCD, with chiral and gluon condensates, sets in the description of the pion family and its mass spectra. Using gravity-dilaton-gluon backgrounds, entropic Regge-like trajectories for the pion family are then derived. They relate the $\pi$ mesons underlying configurational entropy to both the pions excitation wave mode number and the pions experimental mass spectra, yielding a reliable prediction for the mass spectra of higher excitation pion modes, to be experimentally detected.

[ { "created": "Tue, 12 Feb 2019 18:25:01 GMT", "version": "v1" }, { "created": "Tue, 2 Apr 2019 15:49:52 GMT", "version": "v2" } ]

2019-04-10

[ [ "Ferreira", "Luiz F.", "" ], [ "da Rocha", "R.", "" ] ]

The two flavour AdS/QCD, with chiral and gluon condensates, sets in the description of the pion family and its mass spectra. Using gravity-dilaton-gluon backgrounds, entropic Regge-like trajectories for the pion family are then derived. They relate the $\pi$ mesons underlying configurational entropy to both the pions excitation wave mode number and the pions experimental mass spectra, yielding a reliable prediction for the mass spectra of higher excitation pion modes, to be experimentally detected.

21.098812

20.924606

19.817194

18.399574

19.198311

22.413935

22.39559

21.297968

19.309183

20.539709

20.090475

19.661287

20.162601

19.56772

19.33942

19.939705

19.103632

19.495197

18.345284

19.591026

19.278446

1010.3004

Francesco Toppan

Laurent Baulieu and Francesco Toppan

One-dimensional structures behind twisted and untwisted superYang-Mills theory

12 pages. Final version to appear in Lett. Math. Phys. with improved notation and misprints corrected

Lett. Math. Phys. (2011) 98:299-309

10.1007/s11005-011-0505-x

CERN-PH-TH/2010; CBPF-NF-002/10

hep-th math-ph math.MP

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

We give a one-dimensional interpretation of the four-dimensional twisted N=1 superYang-Mills theory on a Kaehler manifold by performing an appropriate dimensional reduction. We prove the existence of a 6-generator superalgebra, which does not possess any invariant Lagrangian but contains two different subalgebras that determine the twisted and untwisted formulations of the N=1 superYang-Mills theory.

[ { "created": "Thu, 14 Oct 2010 18:56:42 GMT", "version": "v1" }, { "created": "Fri, 10 Jun 2011 18:11:48 GMT", "version": "v2" } ]

2012-05-01

[ [ "Baulieu", "Laurent", "" ], [ "Toppan", "Francesco", "" ] ]

We give a one-dimensional interpretation of the four-dimensional twisted N=1 superYang-Mills theory on a Kaehler manifold by performing an appropriate dimensional reduction. We prove the existence of a 6-generator superalgebra, which does not possess any invariant Lagrangian but contains two different subalgebras that determine the twisted and untwisted formulations of the N=1 superYang-Mills theory.

9.573203

8.502498

10.031423

9.288539

7.855639

8.614615

9.103724

8.414603

8.749208

10.846831

8.70801

8.63073

9.392039

8.690039

8.803292

8.772962

8.486313

8.357166

8.62851

9.683174

8.320142

1904.03532

Mohamed Chabab

M. Chabab, H. El Moumni, S. Iraoui, K. Masmar

Phase transitions and geothermodynamics of black holes in dRGT massive gravity

22 pages, Latex file, 10 figures, accepted in EPJC

null

10.1140/epjc/s10052-019-6850-0

null

hep-th

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

In this paper, we study the thermodynamics and geothermodynamics of spherical black hole solutions in dRGT massive gravity in a new extended phase space. Inspired by the work of Kastor et al. [1], by interpreting the graviton mass as a thermodynamical variable, we propose a first law of thermodynamics which include a mass term and establish a new Smarr Formula. Then, we perform a thermodynamical analysis to reveal the existence of a critical behavior for black holes in dRGT massive gravity with two different critical points through canonical and grand canonical ensembles. To consolidate these results, we make use of the thermodynamical geometry formalism, with the HPEM and the Gibbs free energy metrics, to derive the singularities of Ricci scalar curvatures and show that they coincide with those of the capacities. The effect of different values of the spacetime parameters on the stability conditions is also discussed.

[ { "created": "Sat, 6 Apr 2019 21:29:57 GMT", "version": "v1" } ]

2019-05-01

[ [ "Chabab", "M.", "" ], [ "Moumni", "H. El", "" ], [ "Iraoui", "S.", "" ], [ "Masmar", "K.", "" ] ]

In this paper, we study the thermodynamics and geothermodynamics of spherical black hole solutions in dRGT massive gravity in a new extended phase space. Inspired by the work of Kastor et al. [1], by interpreting the graviton mass as a thermodynamical variable, we propose a first law of thermodynamics which include a mass term and establish a new Smarr Formula. Then, we perform a thermodynamical analysis to reveal the existence of a critical behavior for black holes in dRGT massive gravity with two different critical points through canonical and grand canonical ensembles. To consolidate these results, we make use of the thermodynamical geometry formalism, with the HPEM and the Gibbs free energy metrics, to derive the singularities of Ricci scalar curvatures and show that they coincide with those of the capacities. The effect of different values of the spacetime parameters on the stability conditions is also discussed.

8.62848

8.307292

7.64746

7.41478

8.487145

7.947022

7.773735

7.37976

8.072817

8.86914

8.100792

8.16607

8.387843

7.925238

8.198922

8.353752

8.047281

8.113133

7.9526

8.305152

8.019519

hep-th/9303139

Morosov

A. Morozov

Integrability and Matrix Models

146 pages, ITEP-M2/93 & ITFA 93-10, LaTeX, minor misprints are corrected

Phys.Usp.37:1-55,1994

10.1070/PU1994v037n01ABEH000001

null

hep-th

null

The theory of matrix models is reviewed from the point of view of its relation to integrable hierarchies. Discrete 1-matrix, 2-matrix, ``conformal'' (multicomponent) and Kontsevich models are considered in some detail, together with the Ward identites (``W-constraints''), determinantal formulas and continuum limits, taking one kind of models into another. Subtle points and directions of the future research are also discussed.

[ { "created": "Wed, 24 Mar 1993 20:07:32 GMT", "version": "v1" }, { "created": "Mon, 5 Apr 1993 01:01:46 GMT", "version": "v2" } ]

2010-12-17

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

The theory of matrix models is reviewed from the point of view of its relation to integrable hierarchies. Discrete 1-matrix, 2-matrix, ``conformal'' (multicomponent) and Kontsevich models are considered in some detail, together with the Ward identites (``W-constraints''), determinantal formulas and continuum limits, taking one kind of models into another. Subtle points and directions of the future research are also discussed.

10.775516

10.691397

12.450977

9.66618

9.835091

10.615666

10.993014

9.481487

9.807853

14.478553

9.82464

10.015975

11.883698

9.972707

9.961451

9.869481

10.105592

9.924709

9.886539

11.768528

9.993808

1610.02669

Peng Liu

Yi Ling, Peng Liu, Jian-Pin Wu

Holographic Butterfly Effect at Quantum Critical Points

7 figures, 15 pages

JHEP10(2017)025

10.1007/JHEP10(2017)025

null

hep-th gr-qc

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

When the Lyapunov exponent $\lambda_L$ in a quantum chaotic system saturates the bound $\lambda_L\leqslant 2\pi k_BT$, it is proposed that this system has a holographic dual described by a gravity theory. In particular, the butterfly effect as a prominent phenomenon of chaos can ubiquitously exist in a black hole system characterized by a shockwave solution near the horizon. In this paper we propose that the butterfly velocity can be used to diagnose quantum phase transition (QPT) in holographic theories. We provide evidences for this proposal with an anisotropic holographic model exhibiting metal-insulator transitions (MIT), in which the derivatives of the butterfly velocity with respect to system parameters characterizes quantum critical points (QCP) with local extremes in zero temperature limit. We also point out that this proposal can be tested by experiments in the light of recent progress on the measurement of out-of-time-order correlation function (OTOC).

[ { "created": "Sun, 9 Oct 2016 12:37:40 GMT", "version": "v1" }, { "created": "Sun, 15 Jan 2017 07:44:44 GMT", "version": "v2" }, { "created": "Mon, 23 Oct 2017 07:23:05 GMT", "version": "v3" } ]

2017-10-24

[ [ "Ling", "Yi", "" ], [ "Liu", "Peng", "" ], [ "Wu", "Jian-Pin", "" ] ]

When the Lyapunov exponent $\lambda_L$ in a quantum chaotic system saturates the bound $\lambda_L\leqslant 2\pi k_BT$, it is proposed that this system has a holographic dual described by a gravity theory. In particular, the butterfly effect as a prominent phenomenon of chaos can ubiquitously exist in a black hole system characterized by a shockwave solution near the horizon. In this paper we propose that the butterfly velocity can be used to diagnose quantum phase transition (QPT) in holographic theories. We provide evidences for this proposal with an anisotropic holographic model exhibiting metal-insulator transitions (MIT), in which the derivatives of the butterfly velocity with respect to system parameters characterizes quantum critical points (QCP) with local extremes in zero temperature limit. We also point out that this proposal can be tested by experiments in the light of recent progress on the measurement of out-of-time-order correlation function (OTOC).

8.286628

7.531919

8.994907

7.214968

8.196387

7.923806

7.405829

7.294776

7.307325

8.500704

7.418377

7.115385

7.963064

7.138484

6.956712

7.190184

7.21929

7.319026

7.178913

7.761821

7.246789

hep-th/0404003

Jonathan Mark Evans

J.M. Evans, D. Kagan, C.A.S. Young

Non-local charges and quantum integrability of sigma models on the symmetric spaces SO(2n)/SO(n)xSO(n) and Sp(2n)/Sp(n)xSp(n)

11 pages (v2: minor additions and improvements)

Phys.Lett. B597 (2004) 112-118

10.1016/j.physletb.2004.04.042

DAMTP-2004-33

hep-th

null

Non-local conserved charges in two-dimensional sigma models with target spaces $SO(2n)/SO(n){\times}SO(n)$ and $Sp(2n)/Sp(n){\times}Sp(n)$ are shown to survive quantization, unspoiled by anomalies; these theories are therefore integrable at the quantum level. Local, higher-spin, conserved charges are also shown to survive quantization in the $SO(2n)/SO(n){\times}SO(n)$ models.

[ { "created": "Thu, 1 Apr 2004 18:20:00 GMT", "version": "v1" }, { "created": "Tue, 22 Jun 2004 08:52:08 GMT", "version": "v2" } ]

2010-04-05

[ [ "Evans", "J. M.", "" ], [ "Kagan", "D.", "" ], [ "Young", "C. A. S.", "" ] ]

Non-local conserved charges in two-dimensional sigma models with target spaces $SO(2n)/SO(n){\times}SO(n)$ and $Sp(2n)/Sp(n){\times}Sp(n)$ are shown to survive quantization, unspoiled by anomalies; these theories are therefore integrable at the quantum level. Local, higher-spin, conserved charges are also shown to survive quantization in the $SO(2n)/SO(n){\times}SO(n)$ models.

5.294113

3.973565

5.033594

4.056181

4.070426

4.127861

4.182396

4.043386

4.173564

4.751072

3.914511

4.260699

4.728776

4.365635

4.221873

4.335726

4.3987

4.458083

4.400337

5.053789

4.415005

hep-th/0001134

null

Carlos Castro

Is Quantum Spacetime Infinite Dimensional ?

Revised Tex file, 8 pages. A remarkably simple resolution of the cosmological constant is proposed

Chaos Solitons Fractals 11 (2000) 1663-1670

10.1016/S0960-0779(00)00018-7

null

hep-th

null

The Stringy Uncertainty relations, and corrections thereof, were explicitly derived recently from the New Relativity Principle that treats all dimensions and signatures on the same footing and which is based on the postulate that the Planck scale is the minimal length in Nature in the same vein that the speed of light was taken as the maximum velocity in Einstein's theory of Special Relativity. A simple numerical argument is presented which suggests that Quantum Spacetime may very well be $infinite$ dimensional. A discussion of the repercusions of this new paradigm in Physics is given. A truly remarkably simple and plausible solution of the cosmological constant problem results from the New Relativity Principle : The cosmological constant is $not$ constant, in the same vein that Energy in Einstein's Special Relativity is observer dependent. Finally, following El Naschie, we argue why the observed D=4 world might just be an $average$ dimension over the infinite possible values of the Quantum Spacetime and why the compactification mechanisms from higher to four dimensions in String theory may not be actually the right way to look at the world at Planck scales.

[ { "created": "Fri, 21 Jan 2000 03:40:18 GMT", "version": "v1" }, { "created": "Sun, 23 Jan 2000 00:12:27 GMT", "version": "v2" } ]

2015-06-25

[ [ "Castro", "Carlos", "" ] ]

The Stringy Uncertainty relations, and corrections thereof, were explicitly derived recently from the New Relativity Principle that treats all dimensions and signatures on the same footing and which is based on the postulate that the Planck scale is the minimal length in Nature in the same vein that the speed of light was taken as the maximum velocity in Einstein's theory of Special Relativity. A simple numerical argument is presented which suggests that Quantum Spacetime may very well be $infinite$ dimensional. A discussion of the repercusions of this new paradigm in Physics is given. A truly remarkably simple and plausible solution of the cosmological constant problem results from the New Relativity Principle : The cosmological constant is $not$ constant, in the same vein that Energy in Einstein's Special Relativity is observer dependent. Finally, following El Naschie, we argue why the observed D=4 world might just be an $average$ dimension over the infinite possible values of the Quantum Spacetime and why the compactification mechanisms from higher to four dimensions in String theory may not be actually the right way to look at the world at Planck scales.

13.798371

12.361024

14.528831

13.050569

11.736816

11.688471

12.731523

12.187621

12.214479

14.815377

12.623084

13.119192

13.595551

13.227888

13.185901

13.062145

12.696031

12.837418

12.978189

13.659372

12.896882

hep-th/0408173

Mohammad R. Garousi

Mohammad R. Garousi, G.R. Maktabdaran

Closed String S-matrix Elements in Open String Field Theory

18 pages, 8 figures, Latex file; the version appears in JHEP

JHEP0503:048,2005

10.1088/1126-6708/2005/03/048

IPM/P-2004/039

hep-th

null

We study the S-matrix elements of the gauge invariant operators corresponding to on-shell closed strings, in open string field theory. In particular, we calculate the tree level S-matrix element of two ${\it arbitrary}$ closed strings, and the S-matrix element of one closed string and two open strings. By mapping the world-sheet of these amplitudes to the upper half $z$-plane, and by evaluating explicitly the correlators in the ghost part, we show that these S-matrix elements are ${\it exactly}$ identical to the corresponding disk level S-matrix elements in perturbative string theory.

[ { "created": "Mon, 23 Aug 2004 09:50:08 GMT", "version": "v1" }, { "created": "Wed, 8 Dec 2004 10:34:42 GMT", "version": "v2" }, { "created": "Mon, 4 Apr 2005 08:22:22 GMT", "version": "v3" } ]

2008-11-26

[ [ "Garousi", "Mohammad R.", "" ], [ "Maktabdaran", "G. R.", "" ] ]

We study the S-matrix elements of the gauge invariant operators corresponding to on-shell closed strings, in open string field theory. In particular, we calculate the tree level S-matrix element of two ${\it arbitrary}$ closed strings, and the S-matrix element of one closed string and two open strings. By mapping the world-sheet of these amplitudes to the upper half $z$-plane, and by evaluating explicitly the correlators in the ghost part, we show that these S-matrix elements are ${\it exactly}$ identical to the corresponding disk level S-matrix elements in perturbative string theory.

6.799016

5.984119

7.225368

6.172489

6.030625

5.887169

6.141823

5.864096

6.157081

7.257957

5.662158

6.091272

6.517466

6.089077

5.91812

6.130812

6.079885

6.090916

6.25312

6.167497

6.085824

hep-th/0604148

Olivera Miskovic

Maximo Banados, Olivera Miskovic and Stefan Theisen

Holographic currents in first order Gravity and finite Fefferman-Graham expansions

21 pages; version published in JHEP

JHEP0606:025,2006

10.1088/1126-6708/2006/06/025

null

hep-th

null

We study the holographic currents associated to Chern-Simons theories. We start with an example in three dimensions and find the holographic representations of vector and chiral currents reproducing the correct expression for the chiral anomaly. In five dimensions, Chern-Simons theory for AdS group describes first order gravity and we show that there exists a gauge fixing leading to a finite Fefferman-Graham expansion. We derive the corresponding holographic currents, namely, the stress tensor and spin current which couple to the metric and torsional degrees of freedom at the boundary, respectively. We obtain the correct Ward identities for these currents by looking at the bulk constraint equations.

[ { "created": "Thu, 20 Apr 2006 19:21:00 GMT", "version": "v1" }, { "created": "Tue, 13 Jun 2006 19:59:36 GMT", "version": "v2" } ]

2009-11-11

[ [ "Banados", "Maximo", "" ], [ "Miskovic", "Olivera", "" ], [ "Theisen", "Stefan", "" ] ]

We study the holographic currents associated to Chern-Simons theories. We start with an example in three dimensions and find the holographic representations of vector and chiral currents reproducing the correct expression for the chiral anomaly. In five dimensions, Chern-Simons theory for AdS group describes first order gravity and we show that there exists a gauge fixing leading to a finite Fefferman-Graham expansion. We derive the corresponding holographic currents, namely, the stress tensor and spin current which couple to the metric and torsional degrees of freedom at the boundary, respectively. We obtain the correct Ward identities for these currents by looking at the bulk constraint equations.

9.734179

9.104227

10.162823

8.717064

9.963455

9.726002

9.709534

9.139433

9.29894

9.170591

9.508484

9.225339

9.391739

9.366635

9.276557

9.383133

9.289934

9.107894

9.161024

8.942528

8.972564

1604.01181

Matthias Blau

Matthias Blau, Martin O'Loughlin

Horizon Shells: Classical Structure at the Horizon of a Black Hole

1+5 pages, Essay written for the Gravity Research Foundation 2016 Awards for Essays on Gravitation, based on arXiv:1512.02858

null

10.1142/S0218271816440107

null

hep-th gr-qc

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

We address the question of the uniqueness of the Schwarzschild black hole by considering the following question: How many meaningful solutions of the Einstein equations exist that agree with the Schwarzschild solution (with a fixed mass m) everywhere except maybe on a codimension one hypersurface? The perhaps surprising answer is that the solution is unique (and uniquely the Schwarzschild solution everywhere in spacetime) *unless* the hypersurface is the event horizon of the Schwarzschild black hole, in which case there are actually an infinite number of distinct solutions. We explain this result and comment on some of the possible implications for black hole physics.

[ { "created": "Tue, 5 Apr 2016 09:02:10 GMT", "version": "v1" } ]

2016-11-15

[ [ "Blau", "Matthias", "" ], [ "O'Loughlin", "Martin", "" ] ]

We address the question of the uniqueness of the Schwarzschild black hole by considering the following question: How many meaningful solutions of the Einstein equations exist that agree with the Schwarzschild solution (with a fixed mass m) everywhere except maybe on a codimension one hypersurface? The perhaps surprising answer is that the solution is unique (and uniquely the Schwarzschild solution everywhere in spacetime) *unless* the hypersurface is the event horizon of the Schwarzschild black hole, in which case there are actually an infinite number of distinct solutions. We explain this result and comment on some of the possible implications for black hole physics.

7.719279

7.145895

6.980987

6.610414

7.597941

6.836665

7.0355

7.15411

7.103145

7.143342

7.41409

6.756673

7.136403

6.89973

7.234675

6.775217

6.782626

6.625866

6.975724

7.135246

6.896373

hep-th/0311088

Sean A. Hartnoll

Umut Gursoy, Sean A. Hartnoll, Ruben Portugues

The chiral anomaly from M theory

1 + 44 pages. LaTeX

Phys.Rev. D69 (2004) 086003

10.1103/PhysRevD.69.086003

null

hep-th

null

We argue that the chiral anomaly of $\Ncal = 1$ super Yang-Mills theory admits a dual description as spontaneous symmetry breaking in M theory on $G_2$ holonomy manifolds. We identify an angle of the $G_2$ background dual to the anomalous $U(1)_R$ current in field theory. This angle is not an isometry of the metric and we therefore develop a theory of ``massive isometry'' to describe fluctuations about such angles. Another example of a massive isometry occurs in the Atiyah-Hitchin metric.

[ { "created": "Mon, 10 Nov 2003 21:09:39 GMT", "version": "v1" } ]

2009-11-10

[ [ "Gursoy", "Umut", "" ], [ "Hartnoll", "Sean A.", "" ], [ "Portugues", "Ruben", "" ] ]

We argue that the chiral anomaly of $\Ncal = 1$ super Yang-Mills theory admits a dual description as spontaneous symmetry breaking in M theory on $G_2$ holonomy manifolds. We identify an angle of the $G_2$ background dual to the anomalous $U(1)_R$ current in field theory. This angle is not an isometry of the metric and we therefore develop a theory of ``massive isometry'' to describe fluctuations about such angles. Another example of a massive isometry occurs in the Atiyah-Hitchin metric.

8.503746

7.664136

10.046382

7.884573

8.39306

7.793471

7.640934

7.79374

8.221713

9.806922

7.52573

7.848961

8.931726

8.220716

7.854839

7.89129

8.030875

7.979121

8.312364

8.95912

7.808992

1903.00368

Sylvain Lacroix

Francois Delduc, Sylvain Lacroix, Marc Magro, Benoit Vicedo

Assembling integrable sigma-models as affine Gaudin models

72 pages

J. High Energ. Phys. (2019) 2019: 17

10.1007/JHEP06(2019)017

ZMP-HH/19-4

hep-th

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

We explain how to obtain new classical integrable field theories by assembling two affine Gaudin models into a single one. We show that the resulting affine Gaudin model depends on a parameter $\gamma$ in such a way that the limit $\gamma \to 0$ corresponds to the decoupling limit. Simple conditions ensuring Lorentz invariance are also presented. A first application of this method for $\sigma$-models leads to the action announced in [Phys. Rev. Lett. 122 (2019) 041601] and which couples an arbitrary number $N$ of principal chiral model fields on the same Lie group, each with a Wess-Zumino term. The affine Gaudin model descriptions of various integrable $\sigma$-models that can be used as elementary building blocks in the assembling construction are then given. This is in particular used in a second application of the method which consists in assembling $N-1$ copies of the principal chiral model each with a Wess-Zumino term and one homogeneous Yang-Baxter deformation of the principal chiral model.

[ { "created": "Fri, 1 Mar 2019 15:26:51 GMT", "version": "v1" } ]

2019-06-13

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

We explain how to obtain new classical integrable field theories by assembling two affine Gaudin models into a single one. We show that the resulting affine Gaudin model depends on a parameter $\gamma$ in such a way that the limit $\gamma \to 0$ corresponds to the decoupling limit. Simple conditions ensuring Lorentz invariance are also presented. A first application of this method for $\sigma$-models leads to the action announced in [Phys. Rev. Lett. 122 (2019) 041601] and which couples an arbitrary number $N$ of principal chiral model fields on the same Lie group, each with a Wess-Zumino term. The affine Gaudin model descriptions of various integrable $\sigma$-models that can be used as elementary building blocks in the assembling construction are then given. This is in particular used in a second application of the method which consists in assembling $N-1$ copies of the principal chiral model each with a Wess-Zumino term and one homogeneous Yang-Baxter deformation of the principal chiral model.

6.825593

6.471915

7.718311

6.325432

7.057466

6.618227

7.124213

6.225323

6.301473

7.575745

6.248886

6.326759

6.912691

6.491799

6.463476

6.262263

6.336196

6.407871

6.509791

6.881088

6.330917

hep-th/0304143

Tasneem Zehra Husain

If I Only Had A Brane!

81 pages. PhD Thesis

null

USITP-03-04

hep-th

null

This thesis starts with a review of BPS M-branes and their supergravity solutions. These solutions can be obtained in various ways. We describe the harmonic function rule and the Fayyazuddin-Smith metric ansatz in detail, illustrating both methods by examples of M-branes wrapping holomorphic curves. Another, simpler way, is to use calibrations. In order for a wrapped brane to be BPS, the cycle it wraps must be calibrated; given the relevant calibration, there exists a procedure which yields the supergravity solution almost immediately. In the past, this method was applied only to Kahler calibrations, as these were the only ones known to exist in backgrounds with non-trivial flux. We extend this method to a wider domain, using a constraint to classify possible calibrations. A rule is given which can generate the required constraint for any given M-brane wrapped on a holomorphic cycle. Ways in which this constraint can be satisfied are also discussed.

[ { "created": "Wed, 16 Apr 2003 11:21:15 GMT", "version": "v1" } ]

2007-05-23

[ [ "Husain", "Tasneem Zehra", "" ] ]

This thesis starts with a review of BPS M-branes and their supergravity solutions. These solutions can be obtained in various ways. We describe the harmonic function rule and the Fayyazuddin-Smith metric ansatz in detail, illustrating both methods by examples of M-branes wrapping holomorphic curves. Another, simpler way, is to use calibrations. In order for a wrapped brane to be BPS, the cycle it wraps must be calibrated; given the relevant calibration, there exists a procedure which yields the supergravity solution almost immediately. In the past, this method was applied only to Kahler calibrations, as these were the only ones known to exist in backgrounds with non-trivial flux. We extend this method to a wider domain, using a constraint to classify possible calibrations. A rule is given which can generate the required constraint for any given M-brane wrapped on a holomorphic cycle. Ways in which this constraint can be satisfied are also discussed.

10.148528

11.406796

11.633705

10.50278

11.031957

11.7964

11.125254

10.467602

10.951906

12.850711

10.435024

9.730047

10.110614

9.589128

9.950589

9.750293

9.881593

9.795507

9.7339

10.506209

9.898233

1107.1935

Camille Boucher-Veronneau

Z. Bern, C. Boucher-Veronneau, H. Johansson

N >= 4 Supergravity Amplitudes from Gauge Theory at One Loop

25 pages, 4 figures, minor corrections

null

10.1103/PhysRevD.84.105035

UCLA/11/TEP/108, Saclay--IPhT--T11/153, SLAC-PUB-14495, NSF-KITP-11-118

hep-th

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

We expose simple and practical relations between the integrated four- and five-point one-loop amplitudes of N >= 4 supergravity and the corresponding (super-)Yang-Mills amplitudes. The link between the amplitudes is simply understood using the recently uncovered duality between color and kinematics that leads to a double-copy structure for gravity. These examples provide additional direct confirmations of the duality and double-copy properties at loop level for a sample of different theories.

[ { "created": "Mon, 11 Jul 2011 04:54:06 GMT", "version": "v1" }, { "created": "Mon, 25 Jul 2011 21:19:09 GMT", "version": "v2" } ]

2013-05-29

[ [ "Bern", "Z.", "" ], [ "Boucher-Veronneau", "C.", "" ], [ "Johansson", "H.", "" ] ]

We expose simple and practical relations between the integrated four- and five-point one-loop amplitudes of N >= 4 supergravity and the corresponding (super-)Yang-Mills amplitudes. The link between the amplitudes is simply understood using the recently uncovered duality between color and kinematics that leads to a double-copy structure for gravity. These examples provide additional direct confirmations of the duality and double-copy properties at loop level for a sample of different theories.

11.255458

9.152968

14.210877

9.57058

8.864305

9.708175

9.354375

8.685297

9.324255

12.190565

8.88102

9.282557

11.299874

9.466411

9.604645

9.552843

9.93924

9.859145

9.462174

10.639507

9.486768

hep-th/0003178

Orlando Alvarez

Target Space Duality II: Applications

LaTeX, 28 pages. Companion to Target Space Duality I: General Theory. Added a couple of references and corrected a couple of typos. An FAQ that discusses some subtle points is at http://www.physics.miami.edu/~alvarez/papers/duality/

Nucl.Phys. B584 (2000) 682-704

10.1016/S0550-3213(00)00313-8

UMTG-222

hep-th

null

We apply the framework developed in Target Space Duality I: General Theory. We show that both nonabelian duality and Poisson-Lie duality are examples of the general theory. We propose how the formalism leads to a systematic study of duality by studying few scenarios that lead to open questions in the theory of Lie algebras. We present evidence that there are probably new examples of irreducible target space duality.

[ { "created": "Mon, 20 Mar 2000 19:47:31 GMT", "version": "v1" }, { "created": "Wed, 5 Apr 2000 22:29:45 GMT", "version": "v2" } ]

2009-10-31

[ [ "Alvarez", "Orlando", "" ] ]

We apply the framework developed in Target Space Duality I: General Theory. We show that both nonabelian duality and Poisson-Lie duality are examples of the general theory. We propose how the formalism leads to a systematic study of duality by studying few scenarios that lead to open questions in the theory of Lie algebras. We present evidence that there are probably new examples of irreducible target space duality.

16.605482

17.265108

19.238846

15.201148

17.25749

16.343031

16.397293

15.87805

15.408045

16.523046

14.977708

15.61545

16.67705

14.981587

15.903009

15.884539

15.887661

16.312227

15.898156

16.070644

15.378721

hep-th/9310001

Masud Chaichian

M. Chaichian and A.P. Demichev

Q-Deformed Path Integral

14 pages, Latex, HU-SEFT R 1993-10

Phys.Lett. B320 (1994) 273-280

10.1016/0370-2693(94)90656-4

null

hep-th

null

Using differential and integral calculi on the quantum plane which are invariant with respect to quantum inhomogeneous Euclidean group E(2)q , we construct path integral representation for the quantum mechanical evolution operator kernel of q-oscillator.

[ { "created": "Fri, 1 Oct 1993 08:23:22 GMT", "version": "v1" } ]

2009-10-22

[ [ "Chaichian", "M.", "" ], [ "Demichev", "A. P.", "" ] ]

Using differential and integral calculi on the quantum plane which are invariant with respect to quantum inhomogeneous Euclidean group E(2)q , we construct path integral representation for the quantum mechanical evolution operator kernel of q-oscillator.

18.470531

11.636103

15.195853

13.115455

13.976073

14.115649

11.868246

12.566542

12.986102

23.809956

14.334079

12.913316

17.214447

14.249745

13.761818

13.995155

14.24696

13.599339

14.558764

16.471022

13.928966

1212.6179

Sergei Kuzenko

Sergei M. Kuzenko

Symmetries of curved superspace

21 pages; V2: references and comments added, published version

null

10.1007/JHEP03(2013)024

null

hep-th math-ph math.MP

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

The formalism to determine (conformal) isometries of a given curved superspace was elaborated almost two decades ago in the context of the old minimal formulation for N=1 supergravity in four dimensions (4D). This formalism is universal, for it may readily be generalized to supersymmetric backgrounds associated with any supergravity theory formulated in superspace. In particular, it has already been used to construct rigid supersymmetric field theories in 5D N=1, 4D N=2 and 3D (p,q) anti-de Sitter superspaces. In the last two years, there have appeared a number of publications devoted to the construction of supersymmetric backgrounds in off-shell 4D N=1 supergravity theories using component field considerations. Here we demonstrate how to read off the key results of these recent publications from the more general superspace approach developed in the 1990s. We also present a universal superspace setting to construct supersymmetric backgrounds, which is applicable to any of the known off-shell formulations for N=1 supergravity. This approach is based on the realizations of the new minimal and non-minimal supergravity theories as super-Weyl invariant couplings of the old minimal supergravity to certain conformal compensators.

[ { "created": "Wed, 26 Dec 2012 13:45:46 GMT", "version": "v1" }, { "created": "Wed, 6 Mar 2013 02:23:12 GMT", "version": "v2" } ]

2015-06-12

[ [ "Kuzenko", "Sergei M.", "" ] ]

The formalism to determine (conformal) isometries of a given curved superspace was elaborated almost two decades ago in the context of the old minimal formulation for N=1 supergravity in four dimensions (4D). This formalism is universal, for it may readily be generalized to supersymmetric backgrounds associated with any supergravity theory formulated in superspace. In particular, it has already been used to construct rigid supersymmetric field theories in 5D N=1, 4D N=2 and 3D (p,q) anti-de Sitter superspaces. In the last two years, there have appeared a number of publications devoted to the construction of supersymmetric backgrounds in off-shell 4D N=1 supergravity theories using component field considerations. Here we demonstrate how to read off the key results of these recent publications from the more general superspace approach developed in the 1990s. We also present a universal superspace setting to construct supersymmetric backgrounds, which is applicable to any of the known off-shell formulations for N=1 supergravity. This approach is based on the realizations of the new minimal and non-minimal supergravity theories as super-Weyl invariant couplings of the old minimal supergravity to certain conformal compensators.

6.853475

6.905128

8.063046

6.56049

6.961519

6.975004

7.2112

6.598933

6.69509

8.084616

6.361853

6.708651

7.164527

6.782726

6.77232

6.73405

6.604403

6.73459

6.686728

7.194983

6.63773