LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/9504010

null

J.M.F. Labastida and M. Mari\~no

Non-Abelian Monopoles on Four-Manifolds

35 pages, macropackage phyzzx

Nucl.Phys. B448 (1995) 373-398

10.1016/0550-3213(95)00300-H

null

hep-th alg-geom math.AG

null

We present a non-abelian generalization of Witten monopole equations and we analyze the associated moduli problem, which can be regarded as a generalization of Donaldson theory. The moduli space of solutions for SU(2) monopoles on K\"ahler manifolds is discussed. We also construct, using the Mathai-Quillen formalism, the topological quantum field theory corresponding to the new moduli problem. This theory involves the coupling of topological Yang-Mills theory to topological matter in four dimensions

[ { "created": "Tue, 4 Apr 1995 08:42:15 GMT", "version": "v1" } ]

2009-10-28

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

We present a non-abelian generalization of Witten monopole equations and we analyze the associated moduli problem, which can be regarded as a generalization of Donaldson theory. The moduli space of solutions for SU(2) monopoles on K\"ahler manifolds is discussed. We also construct, using the Mathai-Quillen formalism, the topological quantum field theory corresponding to the new moduli problem. This theory involves the coupling of topological Yang-Mills theory to topological matter in four dimensions

6.450876

5.281672

6.143778

5.273039

5.755621

5.866599

5.546763

5.200829

5.500052

6.507475

5.313955

5.713072

6.172916

5.704791

5.663591

5.757181

5.545269

5.628814

5.586861

6.495102

5.578777

1212.4118

Everton Murilo Carvalho Abreu

Everton M. C. Abreu and Mario J. Neves

Some aspects of quantum mechanics and field theory in a Lorentz invariant noncommutative space

22 pages. Continuation of 1206.4065 with substantial text overlap. arXiv admin note: substantial text overlap with arXiv:1206.4065

null

10.1142/S0217751X13500176

null

hep-th gr-qc

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

We obtained the Feynman propagators for a noncommutative (NC) quantum mechanics defined in the recently developed Doplicher-Fredenhagen-Roberts-Amorim (DFRA) NC background that can be considered as an alternative framework for the NC spacetime of the early Universe. The operators formalism was revisited and we applied its properties to obtain a NC transition amplitude representation. Two examples of DFRA's systems were discussed, namely, the NC free particle and NC harmonic oscillator. The spectral representation of the propagator gave us the NC wave function and energy spectrum. We calculated the partition function of the NC harmonic oscillator and the distribution function. Besides, the extension to NC DFRA quantum field theory is straightforward and we used it in a massive scalar field. We had written the scalar action with self-interaction $\phi^{4}$ using the Weyl-Moyal product to obtain the propagator and vertex of this model needed to perturbation theory. %and the effective action to give rise one-particle-irreducible diagrams. It is important to emphasize from the outset is that the formalism demonstrated here will not be constructed introducing a NC parameter in the system, as usual. It will be generated naturally from an already NC space. In this extra dimensional NC space, we presented also the idea of dimensional reduction to recover commutativity.

[ { "created": "Mon, 17 Dec 2012 19:56:25 GMT", "version": "v1" } ]

2015-06-12

[ [ "Abreu", "Everton M. C.", "" ], [ "Neves", "Mario J.", "" ] ]

We obtained the Feynman propagators for a noncommutative (NC) quantum mechanics defined in the recently developed Doplicher-Fredenhagen-Roberts-Amorim (DFRA) NC background that can be considered as an alternative framework for the NC spacetime of the early Universe. The operators formalism was revisited and we applied its properties to obtain a NC transition amplitude representation. Two examples of DFRA's systems were discussed, namely, the NC free particle and NC harmonic oscillator. The spectral representation of the propagator gave us the NC wave function and energy spectrum. We calculated the partition function of the NC harmonic oscillator and the distribution function. Besides, the extension to NC DFRA quantum field theory is straightforward and we used it in a massive scalar field. We had written the scalar action with self-interaction $\phi^{4}$ using the Weyl-Moyal product to obtain the propagator and vertex of this model needed to perturbation theory. %and the effective action to give rise one-particle-irreducible diagrams. It is important to emphasize from the outset is that the formalism demonstrated here will not be constructed introducing a NC parameter in the system, as usual. It will be generated naturally from an already NC space. In this extra dimensional NC space, we presented also the idea of dimensional reduction to recover commutativity.

14.885122

12.383008

15.699187

12.507063

13.258801

12.988381

12.736431

12.561826

12.65516

17.09095

12.996337

13.641365

15.32617

13.694198

13.692729

13.724304

13.764607

13.739822

13.836411

15.427777

13.797885

1609.08507

Marco Celoria

M. Celoria, S. Matarrese, L. Pilo

Disformal invariance of continuous media with linear equation of state

latex, 7 pages

null

10.1088/1475-7516/2017/02/004

null

hep-th astro-ph.CO gr-qc

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

We show that the effective theory describing single component continuous media with a linear and constant equation of state of the form $p=w\rho$ is invariant under a 1-parameter family of continuous disformal transformations. In the special case of $w=1/3$ (ultrarelativistic gas), such a family reduces to conformal transformations. As examples, perfect fluids, homogeneous and isotropic solids are discussed.

[ { "created": "Tue, 27 Sep 2016 15:54:12 GMT", "version": "v1" } ]

2017-02-08

[ [ "Celoria", "M.", "" ], [ "Matarrese", "S.", "" ], [ "Pilo", "L.", "" ] ]

We show that the effective theory describing single component continuous media with a linear and constant equation of state of the form $p=w\rho$ is invariant under a 1-parameter family of continuous disformal transformations. In the special case of $w=1/3$ (ultrarelativistic gas), such a family reduces to conformal transformations. As examples, perfect fluids, homogeneous and isotropic solids are discussed.

9.22247

9.400225

7.949781

8.069213

8.34958

8.209991

9.41051

7.595096

8.025432

7.869925

8.328196

8.151955

8.100432

8.174754

8.625588

8.539198

8.426531

7.848608

8.341558

8.362737

8.468677

1008.3435

Seoktae Koh

Seoktae Koh and Sunyoung Shin

Hamiltonian analysis of Linearized Extension of Ho\v{r}ava-Lifshitz gravity

11pages

Phys.Lett.B696:426-431,2011

10.1016/j.physletb.2010.12.066

null

hep-th astro-ph.CO gr-qc

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

We investigate the Hamiltonian structure of linearized extended Ho\v{r}ava- Lifshitz gravity in a flat cosmological background following the Faddeev-Jackiw's Hamiltonian reduction formalism. The Hamiltonian structure of extended Ho\v{r}ava-Lifshitz gravity is similar to that of the projectable version of original Ho\v{r}ava-Lifshitz gravity, in which there is one primary constraint and so there are two physical degrees of freedom. We also find that extra scalar graviton mode in an inflationary background can be decoupled from the matter field in the infrared (IR) limit, but it is coupled to the matter field in a general cosmological background. But it is necessary to go beyond linear order in order to draw any conclusion of the strong coupling problem.

[ { "created": "Fri, 20 Aug 2010 04:41:04 GMT", "version": "v1" } ]

2011-02-01

[ [ "Koh", "Seoktae", "" ], [ "Shin", "Sunyoung", "" ] ]

We investigate the Hamiltonian structure of linearized extended Ho\v{r}ava- Lifshitz gravity in a flat cosmological background following the Faddeev-Jackiw's Hamiltonian reduction formalism. The Hamiltonian structure of extended Ho\v{r}ava-Lifshitz gravity is similar to that of the projectable version of original Ho\v{r}ava-Lifshitz gravity, in which there is one primary constraint and so there are two physical degrees of freedom. We also find that extra scalar graviton mode in an inflationary background can be decoupled from the matter field in the infrared (IR) limit, but it is coupled to the matter field in a general cosmological background. But it is necessary to go beyond linear order in order to draw any conclusion of the strong coupling problem.

6.050837

5.418539

6.055896

5.590763

5.346534

5.863728

6.006293

5.830874

5.59057

5.586927

5.742035

5.600446

5.588129

5.5595

5.734293

5.560986

5.719497

5.519739

5.721866

5.804744

5.561817

1912.12885

Javier Relancio

J.M. Carmona, J.L. Cortes, J.J. Relancio

Relativistic deformed kinematics from locality conditions in a generalized spacetime

16 pages

Phys. Rev. D 101, 044057 (2020)

10.1103/PhysRevD.101.044057

null

hep-th gr-qc

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

We show how a deformed composition law of four-momenta can be used to define, at the classical level, a modified notion of spacetime for a system of two particles through the crossing of worldlines in particle interactions. We present a derivation of a generic relativistic isotropic deformed kinematics and discuss the complementarity and relations with other derivations based on $\kappa$-Poincar\'e Hopf algebra or on the geometry of a maximally symmetric momentum space.

[ { "created": "Mon, 30 Dec 2019 11:17:15 GMT", "version": "v1" } ]

2020-03-04

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

We show how a deformed composition law of four-momenta can be used to define, at the classical level, a modified notion of spacetime for a system of two particles through the crossing of worldlines in particle interactions. We present a derivation of a generic relativistic isotropic deformed kinematics and discuss the complementarity and relations with other derivations based on $\kappa$-Poincar\'e Hopf algebra or on the geometry of a maximally symmetric momentum space.

13.677197

11.13158

9.948977

10.801636

11.702845

11.811361

11.813011

10.404359

10.525386

11.483915

11.063414

11.291409

11.161633

10.742423

11.094469

11.457802

11.119451

10.89838

11.03112

11.66909

11.325

2009.02072

Anna Kotanjyan

A.A. Saharian, A.S. Kotanjyan, H.G. Sargsyan

Electromagnetic field correlators and the Casimir effect for planar boundaries in AdS spacetime with application in braneworlds

33 pages, 5 figures

Phys. Rev. D 102, 105014 (2020)

10.1103/PhysRevD.102.105014

null

hep-th gr-qc quant-ph

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

We evaluate the correlators for the vector potential and for the field strength tensor of the electromagnetic field in the geometry of two parallel planar plates in AdS spacetime. Two types of boundary conditions are considered on the plates. The first one is a generalization of perfect conductor boundary condition and the second one corresponds to the confining boundary conditions. By using the expressions for the correlators, the vacuum expectation values (VEVs) of the photon condensate and of the electric and magnetic fields squared are investigated. As another important local characteristic of the vacuum state we consider the VEV of the energy-momentum tensor. The Casimir forces acting on the plates are decomposed into the self-action and interaction parts. It is shown that the interaction forces are attractive for both types of boundary conditions. At separations between the plates larger than the curvature radius of the background geometry they decay exponentially as functions of the proper distance. The self-action force per unit surface of a single plate does not depend on its location and depending on the boundary condition and on the number of spatial dimensions can be either attractive or repulsive with respect to the AdS boundary. By using the generalized zeta function technique we also evaluate the total Casimir energy. Applications are given in $Z_{2}$-symmetric braneworld models of the Randall-Sundrum type for vector fields with even and odd parities.

[ { "created": "Fri, 4 Sep 2020 08:52:44 GMT", "version": "v1" } ]

2020-11-18

[ [ "Saharian", "A. A.", "" ], [ "Kotanjyan", "A. S.", "" ], [ "Sargsyan", "H. G.", "" ] ]

We evaluate the correlators for the vector potential and for the field strength tensor of the electromagnetic field in the geometry of two parallel planar plates in AdS spacetime. Two types of boundary conditions are considered on the plates. The first one is a generalization of perfect conductor boundary condition and the second one corresponds to the confining boundary conditions. By using the expressions for the correlators, the vacuum expectation values (VEVs) of the photon condensate and of the electric and magnetic fields squared are investigated. As another important local characteristic of the vacuum state we consider the VEV of the energy-momentum tensor. The Casimir forces acting on the plates are decomposed into the self-action and interaction parts. It is shown that the interaction forces are attractive for both types of boundary conditions. At separations between the plates larger than the curvature radius of the background geometry they decay exponentially as functions of the proper distance. The self-action force per unit surface of a single plate does not depend on its location and depending on the boundary condition and on the number of spatial dimensions can be either attractive or repulsive with respect to the AdS boundary. By using the generalized zeta function technique we also evaluate the total Casimir energy. Applications are given in $Z_{2}$-symmetric braneworld models of the Randall-Sundrum type for vector fields with even and odd parities.

6.290487

5.099026

6.943129

5.255985

5.51572

5.224796

5.172443

5.345566

5.425549

7.025634

5.237288

5.719844

6.2338

5.831128

5.863533

5.670917

5.76914

5.762412

5.720567

6.316513

5.85609

1905.01797

Thomas T. Dumitrescu

Adi Armoni, Thomas T. Dumitrescu, Guido Festuccia, Zohar Komargodski

Metastable Vacua in Large-$N$ QCD$_3$

57 pages, 11 figures; v2: added references and comment at the end of introduction

null

10.1007/JHEP01(2020)004

null

hep-th cond-mat.str-el

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

We reexamine the vacuum structure of three-dimensional quantum chromodynamics (QCD$_3$) with gauge group $SU(N)$, $N_f$ fundamental quark flavors, and a level-$k$ Chern-Simons term. This analysis can be reliably carried out in the large-$N$, fixed $N_f, k$ limit of the theory, up to certain assumptions that we spell out explicitly. At leading order in the large-$N$ expansion we find $N_f + 1$ distinct, exactly degenerate vacuum superselection sectors with different patterns of flavor-symmetry breaking. The associated massless Nambu-Goldstone bosons are generically accompanied by topological Chern-Simons theories. This set of vacua contains many candidate phases previously proposed for QCD$_3$. At subleading order in the large-$N$ expansion, the exact degeneracy between the different superselection sectors is lifted, leading to a multitude of metastable vacua. If we dial the quark masses, different metastable vacua can become the true vacuum of the theory, leading to a sequence of first-order phase transitions. This intricate large-$N$ dynamics can be captured by the previously proposed bosonic dual theories for QCD$_3$, provided these bosonic duals are furnished with a suitable scalar potential. Interestingly, this potential must include terms beyond quartic order in the scalar fields.

[ { "created": "Mon, 6 May 2019 02:38:01 GMT", "version": "v1" }, { "created": "Thu, 24 Oct 2019 18:24:11 GMT", "version": "v2" } ]

2020-01-29

[ [ "Armoni", "Adi", "" ], [ "Dumitrescu", "Thomas T.", "" ], [ "Festuccia", "Guido", "" ], [ "Komargodski", "Zohar", "" ] ]

We reexamine the vacuum structure of three-dimensional quantum chromodynamics (QCD$_3$) with gauge group $SU(N)$, $N_f$ fundamental quark flavors, and a level-$k$ Chern-Simons term. This analysis can be reliably carried out in the large-$N$, fixed $N_f, k$ limit of the theory, up to certain assumptions that we spell out explicitly. At leading order in the large-$N$ expansion we find $N_f + 1$ distinct, exactly degenerate vacuum superselection sectors with different patterns of flavor-symmetry breaking. The associated massless Nambu-Goldstone bosons are generically accompanied by topological Chern-Simons theories. This set of vacua contains many candidate phases previously proposed for QCD$_3$. At subleading order in the large-$N$ expansion, the exact degeneracy between the different superselection sectors is lifted, leading to a multitude of metastable vacua. If we dial the quark masses, different metastable vacua can become the true vacuum of the theory, leading to a sequence of first-order phase transitions. This intricate large-$N$ dynamics can be captured by the previously proposed bosonic dual theories for QCD$_3$, provided these bosonic duals are furnished with a suitable scalar potential. Interestingly, this potential must include terms beyond quartic order in the scalar fields.

4.781806

5.322431

5.556477

4.992737

5.424196

5.531547

5.335614

5.241735

5.16512

5.594082

5.08461

5.046561

5.221787

5.006105

5.005956

5.009869

4.940364

4.913845

4.918984

5.135892

4.967195

1301.0847

Alfredo Perez

Alfredo Perez, David Tempo, Ricardo Troncoso

Higher spin black hole entropy in three dimensions

12 pages. Typos corrected. Matches published version

null

10.1007/JHEP04(2013)143

CECS-PHY-12/07

hep-th gr-qc

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

A generic formula for the entropy of three-dimensional black holes endowed with a spin-3 field is found, which depends on the horizon area A and its spin-3 analogue, given by the reparametrization invariant integral of the induced spin-3 field at the spacelike section of the horizon. From this result it can be shown that the absolute value of the spin-3 analogue of the area has to be bounded from above by A/3^(1/2). The entropy formula is constructed by requiring the first law of thermodynamics to be fulfilled in terms of the global charges obtained through the canonical formalism. For the static case, in the weak spin-3 field limit, our expression for the entropy reduces to the result found by Campoleoni, Fredenhagen, Pfenninger and Theisen, which has been recently obtained through a different approach.

[ { "created": "Fri, 4 Jan 2013 23:22:44 GMT", "version": "v1" }, { "created": "Thu, 5 Sep 2013 04:48:12 GMT", "version": "v2" } ]

2013-09-06

[ [ "Perez", "Alfredo", "" ], [ "Tempo", "David", "" ], [ "Troncoso", "Ricardo", "" ] ]

A generic formula for the entropy of three-dimensional black holes endowed with a spin-3 field is found, which depends on the horizon area A and its spin-3 analogue, given by the reparametrization invariant integral of the induced spin-3 field at the spacelike section of the horizon. From this result it can be shown that the absolute value of the spin-3 analogue of the area has to be bounded from above by A/3^(1/2). The entropy formula is constructed by requiring the first law of thermodynamics to be fulfilled in terms of the global charges obtained through the canonical formalism. For the static case, in the weak spin-3 field limit, our expression for the entropy reduces to the result found by Campoleoni, Fredenhagen, Pfenninger and Theisen, which has been recently obtained through a different approach.

6.978954

7.756776

8.098401

7.447814

7.874293

8.031957

7.965242

7.019787

7.349498

9.323412

7.452515

6.960844

6.606193

6.477489

6.503207

6.759705

6.791374

6.525258

6.608703

6.836791

6.542201

hep-th/0611106

Amir-Kian Kashani-Poor

Amir-Kian Kashani-Poor, Ruben Minasian

Towards reduction of type II theories on SU(3) structure manifolds

20 pages; v2: condition (2.13old) on expansion forms weakened, replaced by (2.13new), (2.14new)

JHEP 0703:109,2007

10.1088/1126-6708/2007/03/109

null

hep-th

null

We revisit the reduction of type II supergravity on SU(3) structure manifolds, conjectured to lead to gauged N=2 supergravity in 4 dimensions. The reduction proceeds by expanding the invariant 2- and 3-forms of the SU(3) structure as well as the gauge potentials of the type II theory in the same set of forms, the analogues of harmonic forms in the case of Calabi-Yau reductions. By focussing on the metric sector, we arrive at a list of constraints these expansion forms should satisfy to yield a base point independent reduction. Identifying these constraints is a first step towards a first-principles reduction of type II on SU(3) structure manifolds.

[ { "created": "Thu, 9 Nov 2006 14:35:21 GMT", "version": "v1" }, { "created": "Wed, 6 Jun 2007 16:37:56 GMT", "version": "v2" } ]

2010-10-27

[ [ "Kashani-Poor", "Amir-Kian", "" ], [ "Minasian", "Ruben", "" ] ]

We revisit the reduction of type II supergravity on SU(3) structure manifolds, conjectured to lead to gauged N=2 supergravity in 4 dimensions. The reduction proceeds by expanding the invariant 2- and 3-forms of the SU(3) structure as well as the gauge potentials of the type II theory in the same set of forms, the analogues of harmonic forms in the case of Calabi-Yau reductions. By focussing on the metric sector, we arrive at a list of constraints these expansion forms should satisfy to yield a base point independent reduction. Identifying these constraints is a first step towards a first-principles reduction of type II on SU(3) structure manifolds.

7.63913

8.390715

8.810906

7.27722

8.060277

8.078367

7.991342

7.745171

8.09363

9.325229

7.399816

7.351949

7.639006

7.334708

7.365639

7.286865

7.224227

7.407238

7.364628

7.539547

7.191707

1812.04743

Jaewon Song

Prarit Agarwal, Sungjay Lee, Jaewon Song

Vanishing OPE Coefficients in 4d N=2 SCFTs

25 pages, 1 Mathematica notebook, v2: references added, minor clarification. published version

JHEP 1906 (2019) 102

10.1007/JHEP06(2019)102

SNUTP18-008, KIAS-P18102

hep-th

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

We compute the superconformal characters of various short multiplets in 4d N=2 superconformal algebra, from which selection rules for operator products are obtained. Combining with the superconformal index, we show that a particular short multiplet appearing in the n-fold product of stress-tensor multiplet is absent in the $(A_1, A_{2n})$ Argyres-Douglas (AD) theory. This implies that the operator product expansion (OPE) coefficients involving this multiplet vanish whenever the central charge $c$ is identical to that of the AD theory. Similarly, by considering the n-th power of the current multiplet, we show that a particular short multiplet and OPE coefficients vanish for a class of AD theories with ADE flavor symmetry. We also consider the generalized AD theory of type $(A_{k-1}, A_{n-1})$ for coprime k, n and compute its Macdonald index using the associated W-algebra under a mild assumption. This allows us to show that a number of short multiplets and OPE coefficients vanish in this theory. We also provide a Mathematica file along with this paper, where we implement the algorithm by Cordova-Dumitrescu-Intriligator to compute the spectrum of 4d N=2 superconformal multiplets as well as their superconformal character.

[ { "created": "Tue, 11 Dec 2018 23:35:26 GMT", "version": "v1" }, { "created": "Fri, 30 Aug 2019 08:01:05 GMT", "version": "v2" } ]

2019-09-02

[ [ "Agarwal", "Prarit", "" ], [ "Lee", "Sungjay", "" ], [ "Song", "Jaewon", "" ] ]

We compute the superconformal characters of various short multiplets in 4d N=2 superconformal algebra, from which selection rules for operator products are obtained. Combining with the superconformal index, we show that a particular short multiplet appearing in the n-fold product of stress-tensor multiplet is absent in the $(A_1, A_{2n})$ Argyres-Douglas (AD) theory. This implies that the operator product expansion (OPE) coefficients involving this multiplet vanish whenever the central charge $c$ is identical to that of the AD theory. Similarly, by considering the n-th power of the current multiplet, we show that a particular short multiplet and OPE coefficients vanish for a class of AD theories with ADE flavor symmetry. We also consider the generalized AD theory of type $(A_{k-1}, A_{n-1})$ for coprime k, n and compute its Macdonald index using the associated W-algebra under a mild assumption. This allows us to show that a number of short multiplets and OPE coefficients vanish in this theory. We also provide a Mathematica file along with this paper, where we implement the algorithm by Cordova-Dumitrescu-Intriligator to compute the spectrum of 4d N=2 superconformal multiplets as well as their superconformal character.

5.679973

5.93755

6.717578

5.642592

5.722211

5.830143

5.419482

5.788303

5.769168

7.098094

5.487097

5.580409

5.980477

5.741621

5.895062

5.726082

5.735271

5.594835

5.811718

5.854957

5.648881

2107.12392

Michele Cicoli

Michele Cicoli, Veronica Guidetti, Francesco Muia, Francisco G. Pedro, Gian Paolo Vacca

A Fake Instability in String Inflation

5 pages + references, 3 figures

null

10.1088/1361-6382/ac8c18

null

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

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

In type IIB Fibre Inflation models the inflaton is a Kaehler modulus which is kinetically coupled to the corresponding axion. In this setup the curvature of the field space induces tachyonic isocurvature perturbations normal to the background inflationary trajectory. However we argue that the associated instability is unphysical since it is due to the use of ill-defined entropy variables. In fact, upon using the correct relative entropy perturbation, we show that in Fibre Inflation axionic isocurvature perturbations decay during inflation and the dynamics is essentially single-field.

[ { "created": "Mon, 26 Jul 2021 18:00:03 GMT", "version": "v1" } ]

2022-09-21

[ [ "Cicoli", "Michele", "" ], [ "Guidetti", "Veronica", "" ], [ "Muia", "Francesco", "" ], [ "Pedro", "Francisco G.", "" ], [ "Vacca", "Gian Paolo", "" ] ]

In type IIB Fibre Inflation models the inflaton is a Kaehler modulus which is kinetically coupled to the corresponding axion. In this setup the curvature of the field space induces tachyonic isocurvature perturbations normal to the background inflationary trajectory. However we argue that the associated instability is unphysical since it is due to the use of ill-defined entropy variables. In fact, upon using the correct relative entropy perturbation, we show that in Fibre Inflation axionic isocurvature perturbations decay during inflation and the dynamics is essentially single-field.

10.188365

10.376403

10.020482

9.341493

10.260793

8.868789

9.181699

8.941981

9.201773

11.84292

8.73075

8.86004

8.851702

8.501451

8.567148

8.762671

8.644911

8.63943

8.842093

9.042516

8.64558

hep-th/9609020

Martin Joerss

From Conformal Haag-Kastler Nets to Wightman Functions

20 pages, latex, to appear as a DESY-preprint and in Lett. Math. Phys

null

hep-th

null

Starting from a conformal Haag-Kastler net in 1+1 dimensions, Wightman functions are constructed.

[ { "created": "Mon, 2 Sep 1996 08:32:51 GMT", "version": "v1" } ]

2007-05-23

[ [ "Joerss", "Martin", "" ] ]

Starting from a conformal Haag-Kastler net in 1+1 dimensions, Wightman functions are constructed.

13.043037

6.482101

7.32209

7.055196

7.057855

7.613048

7.329885

5.871501

7.076444

10.217459

6.778395

8.712323

9.549279

8.884605

8.6684

8.472431

8.400431

8.570466

9.027551

8.518592

8.985548

2402.08965

Susobhan Mandal

Susobhan Mandal, S. Shankaranarayanan (IIT Bombay)

Dynamical 4-D Gauss-Bonnet action from matter-graviton interaction at one-loop

26 pages, 2 figures, comments welcome

null

hep-th gr-qc

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

The occurrence of singularities at the centers of black holes suggests that general relativity (GR), although a highly successful model of gravity and cosmology, is inapplicable. This is due to the breakdown of the equivalence principle. Gauss-Bonnet (GB) action is a simplest extension of GR as it possess second-order equations of motion and is devoid of ghosts. However, in 4-D, the GB action is topological. Recently, Glavan and Lin proposed a mathematical framework that transforms the 4-D GB gravity theory into a non-topological one. However, it has been argued that without a canonical way to choose 4-D from the higher-dimensional space, such a GB gravity is not well-defined in 4-D. The current work takes a step in addressing this issue by demonstrating that the rescaling of the GB coupling $\alpha \rightarrow \alpha/(D - 4)$ arises from the self-energy correction of gravitons in 4-D via \emph{the dimensional regularization}. To keep things transparent, we focus on the linearized theory of gravity coupled with matter fields. By computing the one-loop self-energy correction of gravitons induced by the matter fields, we explicitly provide the origin of the prescription provided by Glavan and Lin. Our work naturally opens a new window to considering 4-D Einstein Gauss-Bonnet gravity as the most straightforward modification to GR.

[ { "created": "Wed, 14 Feb 2024 06:15:04 GMT", "version": "v1" } ]

2024-02-15

[ [ "Mandal", "Susobhan", "", "IIT Bombay" ], [ "Shankaranarayanan", "S.", "", "IIT Bombay" ] ]

The occurrence of singularities at the centers of black holes suggests that general relativity (GR), although a highly successful model of gravity and cosmology, is inapplicable. This is due to the breakdown of the equivalence principle. Gauss-Bonnet (GB) action is a simplest extension of GR as it possess second-order equations of motion and is devoid of ghosts. However, in 4-D, the GB action is topological. Recently, Glavan and Lin proposed a mathematical framework that transforms the 4-D GB gravity theory into a non-topological one. However, it has been argued that without a canonical way to choose 4-D from the higher-dimensional space, such a GB gravity is not well-defined in 4-D. The current work takes a step in addressing this issue by demonstrating that the rescaling of the GB coupling $\alpha \rightarrow \alpha/(D - 4)$ arises from the self-energy correction of gravitons in 4-D via \emph{the dimensional regularization}. To keep things transparent, we focus on the linearized theory of gravity coupled with matter fields. By computing the one-loop self-energy correction of gravitons induced by the matter fields, we explicitly provide the origin of the prescription provided by Glavan and Lin. Our work naturally opens a new window to considering 4-D Einstein Gauss-Bonnet gravity as the most straightforward modification to GR.

8.420504

9.193462

8.152351

7.962582

8.439229

8.890042

9.029019

8.61125

8.713466

8.999547

8.543827

8.386004

8.071768

8.123134

8.290001

8.133814

8.254663

8.213696

8.186489

8.402638

8.228249

hep-th/0606101

Takehisa Fujita

Physics of Renormalization Group Equation in QED

4 pages, no figure

null

hep-th

null

It is shown that the renormalization group (RG) equation in QED can only describe the finite size effects of the system. The RG equation is originated from the response of the renormalized coupling constant for the change of the system size $L$. The application of the RG equation to the continuum limit treatment of the lattice gauge theory, therefore, does not make sense, and the well-known unphysical result of the lattice gauge theory with Wilson's action cannot be remedied any more.

[ { "created": "Mon, 12 Jun 2006 06:36:04 GMT", "version": "v1" } ]

2007-05-23

[ [ "Fujita", "Takehisa", "" ] ]

It is shown that the renormalization group (RG) equation in QED can only describe the finite size effects of the system. The RG equation is originated from the response of the renormalized coupling constant for the change of the system size $L$. The application of the RG equation to the continuum limit treatment of the lattice gauge theory, therefore, does not make sense, and the well-known unphysical result of the lattice gauge theory with Wilson's action cannot be remedied any more.

8.119563

7.362434

7.812961

7.203472

7.677481

7.173245

7.919173

7.310185

6.750766

8.254447

7.544488

7.22403

7.544127

7.357876

7.42738

7.396641

7.227743

7.465992

7.230048

7.831707

7.424804

0906.5139

Carlos Gerardo Honorato

C. G. Honorato, J. J. Toscano

U_e(1)--covariant R_\xi--gauge for the two Higgs doublet model

null

Pramana 73:1023-1039,2009

10.1007/s12043-009-0164-y

null

hep-th

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

An $U_e(1)$--covariant $R_\xi$ gauge for the two Higgs doublet model based in the BRST symmetry is introduced. This gauge allows one to remove an important number of nonphysical vertices appearing in conventional linear gauges, which greatly simplifies the loop calculations, since the the resultant theory satisfies QED--like Ward identities. The presence of four ghost interactions in this type of gauges and its connection with the BRST symmetry is stressed. The Feynman rules for those new vertices that arise in this gauge, as well as for those couplings already present in the linear $R_\xi$ gauge but that are modified by this gauge--fixing procedure, are presented.

[ { "created": "Mon, 29 Jun 2009 18:50:25 GMT", "version": "v1" } ]

2010-11-02

[ [ "Honorato", "C. G.", "" ], [ "Toscano", "J. J.", "" ] ]

An $U_e(1)$--covariant $R_\xi$ gauge for the two Higgs doublet model based in the BRST symmetry is introduced. This gauge allows one to remove an important number of nonphysical vertices appearing in conventional linear gauges, which greatly simplifies the loop calculations, since the the resultant theory satisfies QED--like Ward identities. The presence of four ghost interactions in this type of gauges and its connection with the BRST symmetry is stressed. The Feynman rules for those new vertices that arise in this gauge, as well as for those couplings already present in the linear $R_\xi$ gauge but that are modified by this gauge--fixing procedure, are presented.

11.721208

12.82242

11.92392

11.136785

11.832478

11.52749

11.345204

12.021068

11.090172

12.017124

11.429484

11.388642

11.469383

11.086233

10.726759

11.313037

10.981429

11.392903

11.158166

10.989353

11.465653

0909.3705

Ali Davody

Weyl Anomaly in NonRelativistic CFTs

10 pages, references added, conclusion corrected

Phys.Lett.B685:341-346,2010

10.1016/j.physletb.2010.02.002

null

hep-th

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

We study Weyl symmetry for non-relativistic conformal filed theories on curved spatial spaces, and calculate it's quantum anomaly. We show that there is no geometric anomaly, and the non-relativistic Weyl anomaly can appear only due to interaction. Also we study the anomaly by using the light-cone approach.

[ { "created": "Mon, 21 Sep 2009 08:19:36 GMT", "version": "v1" }, { "created": "Thu, 15 Oct 2009 09:52:46 GMT", "version": "v2" } ]

2010-03-02

[ [ "Davody", "Ali", "" ] ]

We study Weyl symmetry for non-relativistic conformal filed theories on curved spatial spaces, and calculate it's quantum anomaly. We show that there is no geometric anomaly, and the non-relativistic Weyl anomaly can appear only due to interaction. Also we study the anomaly by using the light-cone approach.

13.851314

11.628812

13.573172

10.570702

10.659091

10.976577

11.243466

10.883024

10.614928

12.133772

10.984156

11.381606

12.764086

11.99639

12.267319

11.659677

11.521008

12.014715

12.559976

13.30057

11.909361

1808.02132

George Savvidy K

Hrachya Babujian, Rubik Poghossian and George Savvidy

Correlation Functions of Classical and Quantum Artin System defined on Lobachevsky Plane and Scrambling Time

23 pages, 5 figures, the correlation functions are analysed in a higher precision, figures added,

null

NRCPS-HE-26-2018, YerPhI/2018/45

hep-th math.DS quant-ph

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

We consider the quantisation of the Artin dynamical system defined on the fundamental region of the modular group. In classical regime the geodesic flow in the fundamental region represents one of the most chaotic dynamical systems, it has mixing of all orders, Lebesgue spectrum and non-zero Kolmogorov entropy. As a result, the classical correlation functions decay exponentially. In order to investigate the influence of the classical chaotic behaviour on the quantum-mechanical properties of the Artin system we calculated the corresponding thermal quantum-mechanical correlation functions. It was conjectured by Maldacena, Shenker and Stanford that the classical chaos can be diagnosed in thermal quantum systems by using an out-of-time-order correlation function as well as the square of the commutator of operators separated in time. We demonstrated that the two- and four-point correlation functions of the Louiville-like operators decay exponentially with a temperature dependent exponent. As conjectured the square of the commutator of the Louiville-like operators separated in time grows exponentially, similar to the exponential divergency of trajectories in the classical regime. The corresponding exponent does not saturate the maximal growth condition.

[ { "created": "Mon, 6 Aug 2018 21:59:36 GMT", "version": "v1" }, { "created": "Sat, 11 Aug 2018 18:26:28 GMT", "version": "v2" }, { "created": "Wed, 19 Sep 2018 08:26:37 GMT", "version": "v3" }, { "created": "Tue, 22 Jan 2019 17:44:15 GMT", "version": "v4" }, { "created": "Fri, 11 Oct 2019 18:40:04 GMT", "version": "v5" } ]

2019-10-15

[ [ "Babujian", "Hrachya", "" ], [ "Poghossian", "Rubik", "" ], [ "Savvidy", "George", "" ] ]

We consider the quantisation of the Artin dynamical system defined on the fundamental region of the modular group. In classical regime the geodesic flow in the fundamental region represents one of the most chaotic dynamical systems, it has mixing of all orders, Lebesgue spectrum and non-zero Kolmogorov entropy. As a result, the classical correlation functions decay exponentially. In order to investigate the influence of the classical chaotic behaviour on the quantum-mechanical properties of the Artin system we calculated the corresponding thermal quantum-mechanical correlation functions. It was conjectured by Maldacena, Shenker and Stanford that the classical chaos can be diagnosed in thermal quantum systems by using an out-of-time-order correlation function as well as the square of the commutator of operators separated in time. We demonstrated that the two- and four-point correlation functions of the Louiville-like operators decay exponentially with a temperature dependent exponent. As conjectured the square of the commutator of the Louiville-like operators separated in time grows exponentially, similar to the exponential divergency of trajectories in the classical regime. The corresponding exponent does not saturate the maximal growth condition.

8.272552

8.278365

9.253222

8.360482

8.366357

8.354298

8.483846

8.632059

8.318984

9.43606

7.748143

8.294922

8.393826

8.256134

8.255126

8.553475

8.373411

8.18541

8.191282

8.394525

8.254006

hep-th/9406179

Ramy Brustein

R. Brustein, M. Faux and B. Ovrut

Instanton Effects in Matrix Models and String Effective Lagrangians

Latex document, 36 pages, includes 6 figures appended as uuencoded eps files, preprint CERN-TH.7301/94, UPR-608T

Nucl.Phys. B433 (1995) 67-98

10.1016/0550-3213(94)00387-T

null

hep-th

null

We perform an explicit calculation of the lowest order effects of single eigenvalue instantons on the continuous sector of the collective field theory derived from a $d=1$ bosonic matrix model. These effects consist of certain induced operators whose exact form we exhibit.

[ { "created": "Mon, 27 Jun 1994 20:05:04 GMT", "version": "v1" } ]

2009-10-28

[ [ "Brustein", "R.", "" ], [ "Faux", "M.", "" ], [ "Ovrut", "B.", "" ] ]

We perform an explicit calculation of the lowest order effects of single eigenvalue instantons on the continuous sector of the collective field theory derived from a $d=1$ bosonic matrix model. These effects consist of certain induced operators whose exact form we exhibit.

23.777695

13.245164

25.53231

17.834736

15.775309

15.30066

18.117529

15.026772

15.301204

33.070015

15.596469

17.210873

22.862074

18.901318

17.332691

16.804399

17.578487

17.54253

17.949757

25.192158

17.440052

1712.04992

Ruth Gregory

Accelerating Black Holes

Prepared for proceedings of the 3rd Karl Schwarzschild Meeting. 8 pages, 6 figures

null

10.1088/1742-6596/942/1/012002

null

hep-th gr-qc

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

In this presentation, I review recent work with Mike Appels and David Kubiznak on thermodynamics of accelerating black holes. I start by reviewing the geometry of accelerating black holes, focussing on the conical deficit responsible for the 'force' causing the black hole to accelerate. Then I discuss black hole thermodynamics with conical deficits, showing how to include the tension of the deficit as a thermodynamic variable, and introducing a canonically conjugate {\it thermodynamic length}. Finally, I describe the thermodynamics of the slowly accelerating black hole in anti-de Sitter spacetime.

[ { "created": "Wed, 13 Dec 2017 20:18:39 GMT", "version": "v1" } ]

2018-01-17

[ [ "Gregory", "Ruth", "" ] ]

In this presentation, I review recent work with Mike Appels and David Kubiznak on thermodynamics of accelerating black holes. I start by reviewing the geometry of accelerating black holes, focussing on the conical deficit responsible for the 'force' causing the black hole to accelerate. Then I discuss black hole thermodynamics with conical deficits, showing how to include the tension of the deficit as a thermodynamic variable, and introducing a canonically conjugate {\it thermodynamic length}. Finally, I describe the thermodynamics of the slowly accelerating black hole in anti-de Sitter spacetime.

8.345158

7.992156

8.253438

7.665186

7.020012

8.194519

8.228001

6.978787

8.201206

7.853171

8.011617

7.423367

7.238225

7.166635

7.542435

7.332245

7.477297

7.005779

7.698068

7.390221

7.791873

1305.2710

Pesando Igor

Igor Pesando

Light cone quantization and interactions of a new closed bosonic string inspired to D1 string

17 pages, 2 figures

null

10.1016/j.nuclphysb.2013.07.022

null

hep-th

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

We quantize the bosonic part of the D1 string with closed boundary conditions on the light cone and we consider the U(1) worldsheet gauge field a dynamical variable. We compute also 3-Reggeon vertex by the overlapping technique. We find that the Fock space is the sum of sectors characterized by the momentum of the U(1) Wilson line and that these sectors do not interact among them. Each sector has exactly the same spectrum of the usual bosonic string when expressed in properly sector dependent rescaled variables. Rescaling is forced by factorization of the string amplitudes. We are also able to determine the relative string coupling constant of the different sectors. It follows a somewhat unexpected picture in which the effective action is always the same independently on the sector but string amplitudes are only the same when expressed in sector dependent rescaled variables.

[ { "created": "Mon, 13 May 2013 09:11:23 GMT", "version": "v1" } ]

2015-06-15

[ [ "Pesando", "Igor", "" ] ]

We quantize the bosonic part of the D1 string with closed boundary conditions on the light cone and we consider the U(1) worldsheet gauge field a dynamical variable. We compute also 3-Reggeon vertex by the overlapping technique. We find that the Fock space is the sum of sectors characterized by the momentum of the U(1) Wilson line and that these sectors do not interact among them. Each sector has exactly the same spectrum of the usual bosonic string when expressed in properly sector dependent rescaled variables. Rescaling is forced by factorization of the string amplitudes. We are also able to determine the relative string coupling constant of the different sectors. It follows a somewhat unexpected picture in which the effective action is always the same independently on the sector but string amplitudes are only the same when expressed in sector dependent rescaled variables.

12.604352

13.504034

14.205989

12.190072

12.540053

14.014759

12.092866

12.607325

12.561943

14.873043

12.158626

12.390427

12.244013

11.734009

11.915297

12.080158

11.756804

11.999645

11.794319

12.534261

11.89076

1111.1008

Liuba Mazzanti

Elias Kiritsis, Liuba Mazzanti and Francesco Nitti

Dressed spectral densities for heavy quark diffusion in holographic plasmas

51 pages, 2 figures

null

10.1088/0954-3899/39/5/054003

null

hep-th hep-ph

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

We analyze the large frequency behavior of the spectral densities that govern the generalized Langevin diffusion process for a heavy quark in the context of the gauge/gravity duality. The bare Langevin correlators obtained from the trailing string solution have a singular short-distance behavior. We argue that the proper dressed spectral functions are obtained by subtracting the zero-temperature correlators. The dressed spectral functions have a sufficiently fast fall-off at large frequency so that the Langevin process is well defined and the dispersion relations are satisfied. We identify the cases in which the subtraction does not modify the associated low-frequency transport coefficients. These include conformal theories and the non-conformal, non-confining models. We provide several analytic and numerical examples in conformal and non-conformal holographic backgrounds.

[ { "created": "Thu, 3 Nov 2011 23:19:23 GMT", "version": "v1" } ]

2015-06-03

[ [ "Kiritsis", "Elias", "" ], [ "Mazzanti", "Liuba", "" ], [ "Nitti", "Francesco", "" ] ]

We analyze the large frequency behavior of the spectral densities that govern the generalized Langevin diffusion process for a heavy quark in the context of the gauge/gravity duality. The bare Langevin correlators obtained from the trailing string solution have a singular short-distance behavior. We argue that the proper dressed spectral functions are obtained by subtracting the zero-temperature correlators. The dressed spectral functions have a sufficiently fast fall-off at large frequency so that the Langevin process is well defined and the dispersion relations are satisfied. We identify the cases in which the subtraction does not modify the associated low-frequency transport coefficients. These include conformal theories and the non-conformal, non-confining models. We provide several analytic and numerical examples in conformal and non-conformal holographic backgrounds.

10.465628

10.794631

10.851889

10.135196

9.805743

10.648176

10.021369

10.006639

10.366916

11.210986

9.715276

9.73058

10.676442

10.028362

10.261812

9.758756

9.989896

9.713307

10.081935

10.493829

9.924096

1108.3647

Jaemo Park

Dongmin Gang, Eunkyung Koh, Kimyeong Lee and Jaemo Park

ABCD of 3d ${\cal N}=8$ and 4 Superconformal Field Theories

46 pages, 4 figures, references added

null

hep-th

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

We argue the equivalence between the infrared conformal field theory of the 3d $\mathcal{N}=8$ supersymmetric Yang-Mills theories of ABCD ($U(N), SO(2N+1), Sp(2N), O(2N)$) gauge groups and the ABJ(M) theories of $U(N)_k\times U(\tilde N)_{-k}$ for $k=1,2$. We support this duality by comparing the superconformal index of the IR limit of these super Yang-Mills theories and that of those ABJ(M) models. Especially we find the match between two indices of (mirror dual of) the $\mathcal{N}=8$ U(N) SYM and of $U(N)_1\times U(N)_{-1}$ ABJM model. Also we take large $N$ limit of ABCD super Yang-Mills theories with additional fundamental hyper-multiplets and infer the large N limit of $\mathcal{N}=8$ ABCD theories themselves, finding the expected gravitational duals. With the additional input on finite N, we argue the equivalence of Yang-Mills and ABJ(M) theories for all N. We further explore similar dualities to Chern-Simons matter theories for $\mathcal{N}=4$ Yang-Mills theories related by mirror symmetry.

[ { "created": "Thu, 18 Aug 2011 05:03:15 GMT", "version": "v1" }, { "created": "Thu, 1 Sep 2011 02:41:40 GMT", "version": "v2" } ]

2017-09-07

[ [ "Gang", "Dongmin", "" ], [ "Koh", "Eunkyung", "" ], [ "Lee", "Kimyeong", "" ], [ "Park", "Jaemo", "" ] ]

We argue the equivalence between the infrared conformal field theory of the 3d $\mathcal{N}=8$ supersymmetric Yang-Mills theories of ABCD ($U(N), SO(2N+1), Sp(2N), O(2N)$) gauge groups and the ABJ(M) theories of $U(N)_k\times U(\tilde N)_{-k}$ for $k=1,2$. We support this duality by comparing the superconformal index of the IR limit of these super Yang-Mills theories and that of those ABJ(M) models. Especially we find the match between two indices of (mirror dual of) the $\mathcal{N}=8$ U(N) SYM and of $U(N)_1\times U(N)_{-1}$ ABJM model. Also we take large $N$ limit of ABCD super Yang-Mills theories with additional fundamental hyper-multiplets and infer the large N limit of $\mathcal{N}=8$ ABCD theories themselves, finding the expected gravitational duals. With the additional input on finite N, we argue the equivalence of Yang-Mills and ABJ(M) theories for all N. We further explore similar dualities to Chern-Simons matter theories for $\mathcal{N}=4$ Yang-Mills theories related by mirror symmetry.

6.637336

6.21056

7.787347

5.946651

6.312369

6.210269

6.075487

6.280539

6.178999

7.536363

5.972888

6.099699

6.612872

6.324369

6.250245

6.20352

6.182641

6.216107

5.989107

6.805033

6.189538

1611.02201

Sheikh Shajidul Haque

S. Shajidul Haque

Holographic c-Function

15 pages, references added

null

hep-th

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

We propose a simple and generic holographic $c$-function that is defined purely from geometry by using the non-affine expansion for null congruences. We examined the proposal for BPS black solutions in $\mathcal{N}=2$ gauged supergravity that interpolate between two different dimensional AdS spacetimes and also for domain wall solutions. Moreover, we commented on the relation of this geometric proposal with the one from the holographic entanglement entropy.

[ { "created": "Mon, 7 Nov 2016 18:16:06 GMT", "version": "v1" }, { "created": "Mon, 5 Dec 2016 21:13:09 GMT", "version": "v2" } ]

2016-12-07

[ [ "Haque", "S. Shajidul", "" ] ]

We propose a simple and generic holographic $c$-function that is defined purely from geometry by using the non-affine expansion for null congruences. We examined the proposal for BPS black solutions in $\mathcal{N}=2$ gauged supergravity that interpolate between two different dimensional AdS spacetimes and also for domain wall solutions. Moreover, we commented on the relation of this geometric proposal with the one from the holographic entanglement entropy.

12.213132

9.637966

11.631715

10.221021

11.785625

11.144795

10.568919

10.476086

9.910229

13.115236

10.749644

11.358523

11.525165

11.147104

10.93112

11.070678

10.934609

11.248567

11.576077

12.284719

11.033837

hep-th/0505027

James Sparks

Dario Martelli, James Sparks

Toric Sasaki-Einstein metrics on S^2 x S^3

9 pages; v2: complex coordinates given

Phys.Lett. B621 (2005) 208-212

10.1016/j.physletb.2005.06.059

CERN-PH-TH/2005-081, HUTP-05/A0025

hep-th math.DG

null

We show that by taking a certain scaling limit of a Euclideanised form of the Plebanski-Demianski metrics one obtains a family of local toric Kahler-Einstein metrics. These can be used to construct local Sasaki-Einstein metrics in five dimensions which are generalisations of the Y^{p,q} manifolds. In fact, we find that these metrics are diffeomorphic to those recently found by Cvetic, Lu, Page and Pope. We argue that the corresponding family of smooth Sasaki-Einstein manifolds all have topology S^2 x S^3. We conclude by setting up the equations describing the warped version of the Calabi-Yau cones, supporting (2,1) three-form flux.

[ { "created": "Tue, 3 May 2005 19:10:46 GMT", "version": "v1" }, { "created": "Tue, 17 May 2005 17:14:46 GMT", "version": "v2" } ]

2009-11-11

[ [ "Martelli", "Dario", "" ], [ "Sparks", "James", "" ] ]

We show that by taking a certain scaling limit of a Euclideanised form of the Plebanski-Demianski metrics one obtains a family of local toric Kahler-Einstein metrics. These can be used to construct local Sasaki-Einstein metrics in five dimensions which are generalisations of the Y^{p,q} manifolds. In fact, we find that these metrics are diffeomorphic to those recently found by Cvetic, Lu, Page and Pope. We argue that the corresponding family of smooth Sasaki-Einstein manifolds all have topology S^2 x S^3. We conclude by setting up the equations describing the warped version of the Calabi-Yau cones, supporting (2,1) three-form flux.

8.504189

7.48199

8.989968

7.053292

7.427956

8.315182

8.553029

7.758005

7.88103

9.751089

7.707425

7.4681

8.295782

7.346802

7.815627

7.693617

7.393954

7.326478

7.57972

8.408345

7.81637

hep-th/0610324

Wolfgang Schleifenbaum

H. Reinhardt, D. Epple, W. Schleifenbaum

Hamiltonian approach to Yang-Mills theory in Coulomb gauge

7 pages, 2 figures, to appear in the ``Quark Confinement and the hadron spectrum VII'' (Portugal 2006) conference proceedings

AIPConf.Proc.892:93-99,2007

10.1063/1.2714352

null

hep-th hep-ph

null

Recent results obtained within the Hamiltonian approach to continuum Yang-Mills theory in Coulomb gauge are reviewed.

[ { "created": "Tue, 31 Oct 2006 15:12:02 GMT", "version": "v1" } ]

2008-11-26

[ [ "Reinhardt", "H.", "" ], [ "Epple", "D.", "" ], [ "Schleifenbaum", "W.", "" ] ]

Recent results obtained within the Hamiltonian approach to continuum Yang-Mills theory in Coulomb gauge are reviewed.

14.887905

5.31671

7.381023

5.617495

4.879038

5.75187

5.244566

5.633434

5.233263

7.830177

6.274537

7.64242

7.95308

7.862459

8.026556

7.991429

8.01918

8.187408

7.897622

9.155836

9.114259

1605.02061

David A. Lowe

David A. Lowe and Larus Thorlacius

A holographic model for black hole complementarity

12 pages, some typos corrected

null

10.1007/JHEP12(2016)024

BROWN-HET-1674

hep-th

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

We explore a version of black hole complementarity, where an approximate semiclassical effective field theory for interior infalling degrees of freedom emerges holographically from an exact evolution of exterior degrees of freedom. The infalling degrees of freedom have a complementary description in terms of outgoing Hawking radiation and must eventually decohere with respect to the exterior Hamiltonian, leading to a breakdown of the semiclassical description for an infaller. Trace distance is used to quantify the difference between the complementary time evolutions, and to define a decoherence time. We propose a dictionary where the evolution with respect to the bulk effective Hamiltonian corresponds to mean field evolution in the holographic theory. In a particular model for the holographic theory, which exhibits fast scrambling, the decoherence time coincides with the scrambling time. The results support the hypothesis that decoherence of the infalling holographic state and disruptive bulk effects near the curvature singularity are complementary descriptions of the same physics, which is an important step toward resolving the black hole information paradox.

[ { "created": "Fri, 6 May 2016 19:53:35 GMT", "version": "v1" }, { "created": "Mon, 9 May 2016 01:58:34 GMT", "version": "v2" }, { "created": "Fri, 16 Dec 2016 17:12:59 GMT", "version": "v3" } ]

2017-01-04

[ [ "Lowe", "David A.", "" ], [ "Thorlacius", "Larus", "" ] ]

We explore a version of black hole complementarity, where an approximate semiclassical effective field theory for interior infalling degrees of freedom emerges holographically from an exact evolution of exterior degrees of freedom. The infalling degrees of freedom have a complementary description in terms of outgoing Hawking radiation and must eventually decohere with respect to the exterior Hamiltonian, leading to a breakdown of the semiclassical description for an infaller. Trace distance is used to quantify the difference between the complementary time evolutions, and to define a decoherence time. We propose a dictionary where the evolution with respect to the bulk effective Hamiltonian corresponds to mean field evolution in the holographic theory. In a particular model for the holographic theory, which exhibits fast scrambling, the decoherence time coincides with the scrambling time. The results support the hypothesis that decoherence of the infalling holographic state and disruptive bulk effects near the curvature singularity are complementary descriptions of the same physics, which is an important step toward resolving the black hole information paradox.

10.002103

9.665586

10.406475

9.560349

9.389778

10.17444

9.735279

9.930581

9.854618

10.70172

9.690262

9.946886

10.076146

9.477978

9.613837

9.631564

9.660136

9.281696

9.645509

10.05559

9.507422

2301.11363

Maria Derda

Clifford Cheung, Maria Derda, Andreas Helset, and Julio Parra-Martinez

Soft Phonon Theorems

35 pages

J. High Energ. Phys. 2023, 103 (2023)

10.1007/JHEP08(2023)103

CALT-TH-2023-002

hep-th cond-mat.other hep-ph

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

A variety of condensed matter systems describe gapless modes that can be interpreted as Nambu-Goldstone bosons of spontaneously broken Poincar\'e symmetry. In this paper we derive new soft theorems constraining the tree-level scattering of these degrees of freedom, as exhibited in solids, fluids, superfluids, and framids. These soft theorems are in one-to-one correspondence with various broken symmetries, including spacetime translations, Lorentz boosts, and, for the case of fluids, volume-preserving diffeomorphisms. We also implement a bootstrap in which the enhanced vanishing of amplitudes in the soft limit is taken as an input, thus sculpting out a subclass of exceptional solid, fluid, and framid theories.

[ { "created": "Thu, 26 Jan 2023 19:18:48 GMT", "version": "v1" }, { "created": "Thu, 9 May 2024 04:32:09 GMT", "version": "v2" } ]

2024-05-13

[ [ "Cheung", "Clifford", "" ], [ "Derda", "Maria", "" ], [ "Helset", "Andreas", "" ], [ "Parra-Martinez", "Julio", "" ] ]

A variety of condensed matter systems describe gapless modes that can be interpreted as Nambu-Goldstone bosons of spontaneously broken Poincar\'e symmetry. In this paper we derive new soft theorems constraining the tree-level scattering of these degrees of freedom, as exhibited in solids, fluids, superfluids, and framids. These soft theorems are in one-to-one correspondence with various broken symmetries, including spacetime translations, Lorentz boosts, and, for the case of fluids, volume-preserving diffeomorphisms. We also implement a bootstrap in which the enhanced vanishing of amplitudes in the soft limit is taken as an input, thus sculpting out a subclass of exceptional solid, fluid, and framid theories.

9.22074

8.502813

8.908004

8.621505

8.226839

8.89037

7.799877

8.138282

8.00974

10.011757

7.797307

7.961523

8.49416

7.813

8.036184

7.959613

8.036773

7.623717

7.858308

8.213868

7.963543

hep-th/0510015

Alexei Deriglazov A

A. A. Deriglazov

Interpretation of Lorentz boosts in conformally deformed special relativity theory

9 pages. Work prepared for the Conference: XXVI ENFPC, 04-08 of October, 2005, Sao Lourenco, Brazil. Misprints corrected

null

hep-th gr-qc

null

Conformally deformed special relativity is mathematically consistent example of a theory with two observer independent scales. As compare with recent DSR proposals, it is formulated starting from the position space. In this work we propose interpretation of Lorentz boosts of the model as transformations among accelerated observers. We point further that the model can be considered as relativistic version of MOND program and thus may be interesting in context of dark matter problem.

[ { "created": "Mon, 3 Oct 2005 16:21:28 GMT", "version": "v1" }, { "created": "Tue, 4 Oct 2005 12:08:01 GMT", "version": "v2" } ]

2007-05-23

[ [ "Deriglazov", "A. A.", "" ] ]

Conformally deformed special relativity is mathematically consistent example of a theory with two observer independent scales. As compare with recent DSR proposals, it is formulated starting from the position space. In this work we propose interpretation of Lorentz boosts of the model as transformations among accelerated observers. We point further that the model can be considered as relativistic version of MOND program and thus may be interesting in context of dark matter problem.

21.161835

18.607059

19.402981

17.943186

19.129684

17.406231

19.896263

16.788122

17.99505

20.570766

19.218809

20.345259

19.726633

19.89642

19.64468

19.463171

19.564388

19.169323

19.809719

20.578482

20.285078

2008.07543

Paul McFadden

Adam Bzowski, Paul McFadden and Kostas Skenderis

Conformal correlators as simplex integrals in momentum space

44 pages, 4 figures. v2: published version

JHEP 01 (2021) 192

10.1007/JHEP01(2021)192

null

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

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

We find the general solution of the conformal Ward identities for scalar $n$-point functions in momentum space and in general dimension. The solution is given in terms of integrals over $(n-1)$-simplices in momentum space. The $n$ operators are inserted at the $n$ vertices of the simplex, and the momenta running between any two vertices of the simplex are the integration variables. The integrand involves an arbitrary function of momentum-space cross ratios constructed from the integration variables, while the external momenta enter only via momentum conservation at each vertex. Correlators where the function of cross ratios is a monomial exhibit a remarkable recursive structure where $n$-point functions are built in terms of $(n-1)$-point functions. To illustrate our discussion, we derive the simplex representation of $n$-point contact Witten diagrams in a holographic conformal field theory. This can be achieved through both a recursive method, as well as an approach based on the star-mesh transformation of electrical circuit theory. The resulting expression for the function of cross ratios involves $(n-2)$ integrations, which is an improvement (when $n>4$) relative to the Mellin representation that involves $n(n-3)/2$ integrations.

[ { "created": "Mon, 17 Aug 2020 18:00:04 GMT", "version": "v1" }, { "created": "Wed, 20 Jan 2021 11:13:40 GMT", "version": "v2" } ]

2021-02-01

[ [ "Bzowski", "Adam", "" ], [ "McFadden", "Paul", "" ], [ "Skenderis", "Kostas", "" ] ]

We find the general solution of the conformal Ward identities for scalar $n$-point functions in momentum space and in general dimension. The solution is given in terms of integrals over $(n-1)$-simplices in momentum space. The $n$ operators are inserted at the $n$ vertices of the simplex, and the momenta running between any two vertices of the simplex are the integration variables. The integrand involves an arbitrary function of momentum-space cross ratios constructed from the integration variables, while the external momenta enter only via momentum conservation at each vertex. Correlators where the function of cross ratios is a monomial exhibit a remarkable recursive structure where $n$-point functions are built in terms of $(n-1)$-point functions. To illustrate our discussion, we derive the simplex representation of $n$-point contact Witten diagrams in a holographic conformal field theory. This can be achieved through both a recursive method, as well as an approach based on the star-mesh transformation of electrical circuit theory. The resulting expression for the function of cross ratios involves $(n-2)$ integrations, which is an improvement (when $n>4$) relative to the Mellin representation that involves $n(n-3)/2$ integrations.

6.940986

7.09929

7.982242

6.823379

8.188864

7.374054

7.826365

7.060343

6.77537

8.639315

7.011825

6.864094

7.32207

6.824049

6.949739

6.61422

6.990202

6.652025

6.692544

7.170907

6.636522

2402.04712

Noureddine Mohammedi

N. Mohammedi

A note on Weyl gauge symmetry in gravity

19 pages

null

hep-th gr-qc

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

A scale invariant theory of gravity, containing at most two derivatives, requires, in addition to the Riemannian metric, a scalar field and (or) a gauge field. The gauge field is usualy used to construct the affine connection of Weyl geometry. In this note, we incorporate both the gauge field and the scalar field to build a generalised scale invariant Weyl affine connection. The Ricci tensor and the Ricci scalar made out of this generalised Weyl affine connection contain, naturally, kinetic terms for the scalar field and the gauge field. This provides a geometric interpretation for these terms. It is also shown that scale invariance in the presence of a cosmological constant and mass terms is not completely lost. It becomes a duality transformation relating various fields.

[ { "created": "Wed, 7 Feb 2024 10:02:22 GMT", "version": "v1" } ]

2024-02-08

[ [ "Mohammedi", "N.", "" ] ]

A scale invariant theory of gravity, containing at most two derivatives, requires, in addition to the Riemannian metric, a scalar field and (or) a gauge field. The gauge field is usualy used to construct the affine connection of Weyl geometry. In this note, we incorporate both the gauge field and the scalar field to build a generalised scale invariant Weyl affine connection. The Ricci tensor and the Ricci scalar made out of this generalised Weyl affine connection contain, naturally, kinetic terms for the scalar field and the gauge field. This provides a geometric interpretation for these terms. It is also shown that scale invariance in the presence of a cosmological constant and mass terms is not completely lost. It becomes a duality transformation relating various fields.

7.429398

7.573258

7.541834

6.903597

7.770957

6.926859

7.718308

6.985583

7.398788

7.586436

6.976148

7.305892

7.232188

7.14922

7.272456

7.276109

7.192174

7.227242

7.387736

7.178212

7.150952

1008.0777

Dmitry Nesterov

Dmitry Nesterov and Sergey N. Solodukhin

Short-distance regularity of Green's function and UV divergences in entanglement entropy

LaTeX, 6 pages

JHEP 1009:041,2010

10.1007/JHEP09(2010)041

null

hep-th cond-mat.stat-mech gr-qc

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

Reformulating our recent result (arXiv:1007.1246 [hep-th]) in coordinate space we point out that no matter how regular is short-distance behavior of Green's function the entanglement entropy in the corresponding quantum field theory is always UV divergent. In particular, we discuss a recent example by Padmanabhan (arXiv:1007.5066 [gr-qc]) of a regular Green's function and show that provided this function arises in a field theory the entanglement entropy in this theory is UV divergent and calculate the leading divergent term.

[ { "created": "Wed, 4 Aug 2010 13:41:29 GMT", "version": "v1" } ]

2014-11-21

[ [ "Nesterov", "Dmitry", "" ], [ "Solodukhin", "Sergey N.", "" ] ]

Reformulating our recent result (arXiv:1007.1246 [hep-th]) in coordinate space we point out that no matter how regular is short-distance behavior of Green's function the entanglement entropy in the corresponding quantum field theory is always UV divergent. In particular, we discuss a recent example by Padmanabhan (arXiv:1007.5066 [gr-qc]) of a regular Green's function and show that provided this function arises in a field theory the entanglement entropy in this theory is UV divergent and calculate the leading divergent term.

8.84295

7.935942

8.881351

7.940852

8.799742

8.464664

8.145112

8.003705

8.559959

8.582644

8.103947

7.222693

7.559941

7.475689

7.61637

7.543221

7.752014

7.439363

7.676421

7.774258

7.463552

1606.05297

Szabolcs Zakany

Marcos Marino, Szabolcs Zakany

Exact eigenfunctions and the open topological string

50 pages, 8 figures; v2: corrections, references, and many clarifications added

null

10.1088/1751-8121/aa791e

null

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

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

Mirror curves to toric Calabi-Yau threefolds can be quantized and lead to trace class operators on the real line. The eigenvalues of these operators are encoded in the BPS invariants of the underlying threefold, but much less is known about their eigenfunctions. In this paper we first develop methods in spectral theory to compute these eigenfunctions. We also provide a matrix integral representation which allows to study them in a 't Hooft limit, where they are described by standard topological open string amplitudes. Based on these results, we propose a conjecture for the exact eigenfunctions which involves both the WKB wavefunction and the standard topological string wavefunction. This conjecture can be made completely explicit in the maximally supersymmetric, or self-dual case, which we work out in detail for local P1xP1. In this case, our conjectural eigenfunctions turn out to be closely related to Baker-Akhiezer functions on the mirror curve, and they are in full agreement with first-principle calculations in spectral theory.

[ { "created": "Thu, 16 Jun 2016 18:03:33 GMT", "version": "v1" }, { "created": "Fri, 24 Feb 2017 16:52:03 GMT", "version": "v2" } ]

2017-08-02

[ [ "Marino", "Marcos", "" ], [ "Zakany", "Szabolcs", "" ] ]

Mirror curves to toric Calabi-Yau threefolds can be quantized and lead to trace class operators on the real line. The eigenvalues of these operators are encoded in the BPS invariants of the underlying threefold, but much less is known about their eigenfunctions. In this paper we first develop methods in spectral theory to compute these eigenfunctions. We also provide a matrix integral representation which allows to study them in a 't Hooft limit, where they are described by standard topological open string amplitudes. Based on these results, we propose a conjecture for the exact eigenfunctions which involves both the WKB wavefunction and the standard topological string wavefunction. This conjecture can be made completely explicit in the maximally supersymmetric, or self-dual case, which we work out in detail for local P1xP1. In this case, our conjectural eigenfunctions turn out to be closely related to Baker-Akhiezer functions on the mirror curve, and they are in full agreement with first-principle calculations in spectral theory.

7.44015

6.169688

9.152381

6.123324

5.93494

6.334026

6.120018

6.174262

6.238995

8.999308

6.280507

6.125174

7.401944

6.639769

6.49364

6.301085

6.335503

6.518209

6.368824

7.289999

6.367347

hep-th/0506080

Massimo Bianchi

Massimo Bianchi and Elisa Trevigne (Dipartimento di Fisica and Sezione I.N.F.N. - Universita` di Roma ``Tor Vergata'')

Gauge thresholds in the presence of oblique magnetic fluxes

34 pages, 2 figures; references added, major changes to the discussion of the model proposed by Antoniadis and Maillard

JHEP 0601 (2006) 092

10.1088/1126-6708/2006/01/092

ROM2F/2005/11

hep-th

null

We compute the one-loop partition function and analyze the conditions for tadpole cancellation in type I theories compactified on tori in the presence of internal oblique magnetic fields. We check open - closed string channel duality and discuss the effect of T-duality. We address the issue of the quantum consistency of the toroidal model with stabilized moduli recently proposed by Antoniadis and Maillard (AM). We then pass to describe the computation of one-loop threshold corrections to the gauge couplings in models of this kind. Finally we briefly comment on coupling unification and dilaton stabilization in phenomenologically more viable models

[ { "created": "Sat, 11 Jun 2005 21:31:55 GMT", "version": "v1" }, { "created": "Mon, 13 Mar 2006 16:49:06 GMT", "version": "v2" } ]

2009-11-11

[ [ "Bianchi", "Massimo", "", "Dipartimento di Fisica and Sezione\n I.N.F.N. - Universita` di Roma ``Tor Vergata''" ], [ "Trevigne", "Elisa", "", "Dipartimento di Fisica and Sezione\n I.N.F.N. - Universita` di Roma ``Tor Vergata''" ] ]

We compute the one-loop partition function and analyze the conditions for tadpole cancellation in type I theories compactified on tori in the presence of internal oblique magnetic fields. We check open - closed string channel duality and discuss the effect of T-duality. We address the issue of the quantum consistency of the toroidal model with stabilized moduli recently proposed by Antoniadis and Maillard (AM). We then pass to describe the computation of one-loop threshold corrections to the gauge couplings in models of this kind. Finally we briefly comment on coupling unification and dilaton stabilization in phenomenologically more viable models

13.276179

12.609589

14.708159

11.835575

13.626473

13.254904

11.082572

12.289389

11.537892

17.995638

12.119929

12.914008

14.016212

12.994893

12.957699

12.865628

12.91396

12.510543

12.449502

14.487193

12.327405

1407.8486

Xiao Xiao

Note on Adiabatic Modes and Ward Identities In A Closed Universe

4 pages

null

hep-th astro-ph.CO

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

As statements regarding the soft limit of cosmological correlation functions, consistency relations are known to exist in any flat FRW universe. In this letter we explore the possibility of finding such relations in a spatially closed universe, where the soft limit $\textbf{q}\rightarrow 0$ does not exist in any rigorous sense. Despite the absence of spatial infinity of the spatial slices, we find the adiabatic modes and their associated consistency relations in a toy universe with background topology $R\times S^2$. Flat FRW universe adiabatic modes are recovered via taking the large radius limit $R\gg \mathcal{H}^{-1}$, for which we are living in a small local patch of Hubble size on the sphere. It is shown that both dilation and translation adiabatic modes in the local patch are recovered by a global dilation on the sphere, acting at different places.

[ { "created": "Thu, 31 Jul 2014 16:42:08 GMT", "version": "v1" } ]

2014-08-01

[ [ "Xiao", "Xiao", "" ] ]

As statements regarding the soft limit of cosmological correlation functions, consistency relations are known to exist in any flat FRW universe. In this letter we explore the possibility of finding such relations in a spatially closed universe, where the soft limit $\textbf{q}\rightarrow 0$ does not exist in any rigorous sense. Despite the absence of spatial infinity of the spatial slices, we find the adiabatic modes and their associated consistency relations in a toy universe with background topology $R\times S^2$. Flat FRW universe adiabatic modes are recovered via taking the large radius limit $R\gg \mathcal{H}^{-1}$, for which we are living in a small local patch of Hubble size on the sphere. It is shown that both dilation and translation adiabatic modes in the local patch are recovered by a global dilation on the sphere, acting at different places.

13.070444

13.778443

13.283382

11.900177

14.104228

14.109879

13.42662

13.429936

12.80022

14.964837

12.760924

12.550526

12.287654

12.22568

12.196107

12.655938

12.282909

12.510827

12.365018

12.370358

12.384825

hep-th/9611203

null

M. J. Duff

Supermembranes

A few corrections and additional references. Based on lectures given at the T. A. S. I. Summer School, University of Colorado, Boulder, June 1996; the Topical Meeting, Imperial College, London, July 1996 and the 26th British Universities Summer School in Theoretical Elementary Particle Physics, University of Swansea, September 1996. Dedicated to the memory of Abdus Salam. 76 pages, Latex, TASI96

Published 0 (1996) 0

null

CTP-TAMU-61/96

hep-th gr-qc

null

We give an elementary introduction to the theory of supermembranes.

[ { "created": "Sun, 24 Nov 1996 21:35:21 GMT", "version": "v1" }, { "created": "Sun, 1 Dec 1996 00:06:01 GMT", "version": "v2" } ]

2008-02-03

[ [ "Duff", "M. J.", "" ] ]

We give an elementary introduction to the theory of supermembranes.

15.865217

6.797052

11.197077

7.419989

6.203794

6.369207

6.571079

7.185925

6.736041

12.500927

7.165606

8.917271

13.00211

9.469041

9.73054

9.218296

9.650431

9.051023

9.283409

11.960138

9.969222

1509.08055

Konstantin Stepanyantz

I.L.Buchbinder, N.G.Pletnev, K.V.Stepanyantz

Manifestly N=2 supersymmetric regularization for N=2 supersymmetric field theories

15 pages, 3 figures, 2 references added, minor corrections, accepted for publication in Physics Letters B

null

10.1016/j.physletb.2015.10.071

null

hep-th

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

We formulate the higher covariant derivative regularization for N=2 supersymmetric gauge theories in N=2 harmonic superspace. This regularization is constructed by adding the N=2 supersymmetric higher derivative term to the classical action and inserting the N=2 supersymmetric Pauli--Villars determinants into the generating functional for removing one-loop divergencies. Unlike all other regularization schemes in N=2 supersymmetric quantum field theory, this regularization preserves by construction the manifest N=2 supersymmetry at all steps of calculating loop corrections to the effective action. Together with N=2 supersymmetric background field method this regularization allows to calculate quantum corrections without breaking the manifest gauge symmetry and N=2 supersymmetry. Thus, we justify the assumption about existence of a regularization preserving N=2 supersymmetry, which is a key element of the N=2 non-renormalization theorem. As a result, we give the prove of the N=2 non-renormalization theorem which does not require any additional assumptions.

[ { "created": "Sun, 27 Sep 2015 06:10:46 GMT", "version": "v1" }, { "created": "Tue, 27 Oct 2015 10:00:45 GMT", "version": "v2" } ]

2015-11-04

[ [ "Buchbinder", "I. L.", "" ], [ "Pletnev", "N. G.", "" ], [ "Stepanyantz", "K. V.", "" ] ]

We formulate the higher covariant derivative regularization for N=2 supersymmetric gauge theories in N=2 harmonic superspace. This regularization is constructed by adding the N=2 supersymmetric higher derivative term to the classical action and inserting the N=2 supersymmetric Pauli--Villars determinants into the generating functional for removing one-loop divergencies. Unlike all other regularization schemes in N=2 supersymmetric quantum field theory, this regularization preserves by construction the manifest N=2 supersymmetry at all steps of calculating loop corrections to the effective action. Together with N=2 supersymmetric background field method this regularization allows to calculate quantum corrections without breaking the manifest gauge symmetry and N=2 supersymmetry. Thus, we justify the assumption about existence of a regularization preserving N=2 supersymmetry, which is a key element of the N=2 non-renormalization theorem. As a result, we give the prove of the N=2 non-renormalization theorem which does not require any additional assumptions.

5.5248

5.149959

5.939353

5.170755

5.398978

5.684727

5.537258

5.220556

5.136878

6.096196

5.157163

5.407413

5.528191

5.329472

5.305546

5.160106

5.265089

5.225801

5.310719

5.610322

5.282259

2207.11499

Xuan Li

Xuan Li, Yuan-Chun Jing, Fu-Zhong Yang

Open Topological String Amplitudes and BPS Invariants on Complete Intersection Calabi-Yau Threefolds

39pages

null

hep-th

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

Open topological string partition function on compact Calabi-Yau threefolds satisfies the extended holomorphic anomaly equation. By direct integration, we solve these equations and obtain partition functions for first several genus and boundaries on complete intersection Calabi-Yau threefolds. Complemented by the unoriented worldsheet contribution, the annulus functions encode the genus one BPS invariants.

[ { "created": "Sat, 23 Jul 2022 11:53:31 GMT", "version": "v1" }, { "created": "Thu, 28 Jul 2022 10:40:55 GMT", "version": "v2" } ]

2022-07-29

[ [ "Li", "Xuan", "" ], [ "Jing", "Yuan-Chun", "" ], [ "Yang", "Fu-Zhong", "" ] ]

Open topological string partition function on compact Calabi-Yau threefolds satisfies the extended holomorphic anomaly equation. By direct integration, we solve these equations and obtain partition functions for first several genus and boundaries on complete intersection Calabi-Yau threefolds. Complemented by the unoriented worldsheet contribution, the annulus functions encode the genus one BPS invariants.

17.555803

14.124503

16.982698

13.500989

14.413705

13.023365

12.804622

12.437347

12.003529

23.346085

13.678946

12.99418

14.407899

13.356633

12.991141

12.937732

13.392714

12.809907

13.492285

14.537536

13.431018

hep-th/9601179

Martin O'Loughlin

Chern-Simons from Dirichlet 2-brane instantons

8 pages, harvmac, scaling of coupling in $c=1$ with Chern-Simons coupling corrected, reference added

Phys.Lett. B385 (1996) 103-108

10.1016/0370-2693(96)00851-9

EFI-96-02

hep-th

null

In the vicinity of points in Calabi-Yau moduli space where there are degenerating three-cycles the low energy effective action of type IIA string theory will contain significant contributions arising from membrane instantons that wrap around these three-cycles. We show that the world-volume description of these instantons is Chern-Simons theory.

[ { "created": "Thu, 1 Feb 1996 04:34:32 GMT", "version": "v1" }, { "created": "Thu, 1 Feb 1996 23:53:52 GMT", "version": "v2" } ]

2009-10-30

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

In the vicinity of points in Calabi-Yau moduli space where there are degenerating three-cycles the low energy effective action of type IIA string theory will contain significant contributions arising from membrane instantons that wrap around these three-cycles. We show that the world-volume description of these instantons is Chern-Simons theory.

10.639097

8.16895

9.087381

7.844134

7.694778

8.193113

8.108763

7.389546

8.223399

9.649009

8.182355

7.799248

8.335216

8.197194

7.989214

8.275545

7.751845

7.976799

8.215937

8.582926

7.80057

hep-th/9510050

George Lavrelashvili

G. Chechelashvili, G. Jorjadze and N. Kiknadze

Practical scheme of reduction to gauge invariant variables

14 pages, Latex, no figures

Theor.Math.Phys. 109 (1997) 1316-1328; Teor.Mat.Fiz. 109N1 (1996) 90-106

10.1007/BF02069891

null

hep-th

null

For systems with first class constraints the reduction scheme to the gauge invariant variables is considered. The method is based on the analysis of restricted 1-forms in gauge invariant variables. This scheme is applied to the models of electrodynamics and Yang-Mills theory. For the finite dimensional model with $SU(2)$ gauge group of symmetry the possible mechanism of confinement is obtained.

[ { "created": "Mon, 9 Oct 1995 20:46:25 GMT", "version": "v1" } ]

2009-10-28

[ [ "Chechelashvili", "G.", "" ], [ "Jorjadze", "G.", "" ], [ "Kiknadze", "N.", "" ] ]

For systems with first class constraints the reduction scheme to the gauge invariant variables is considered. The method is based on the analysis of restricted 1-forms in gauge invariant variables. This scheme is applied to the models of electrodynamics and Yang-Mills theory. For the finite dimensional model with $SU(2)$ gauge group of symmetry the possible mechanism of confinement is obtained.

14.441599

9.338364

12.39336

10.244059

11.170773

9.838885

9.923866

10.523027

10.552644

12.251687

10.722696

10.326689

12.098426

10.65643

10.780664

10.662588

10.671946

10.638868

10.729847

11.911823

10.030185

hep-th/9603003

Nathan Seiberg

N. Seiberg and E. Witten

Comments on String Dynamics in Six Dimensions

20 pages, uses harvmac

Nucl.Phys.B471:121-134,1996

10.1016/0550-3213(96)00189-7

RU-96-12, IASSNS-HEP-96/19

hep-th

null

We discuss the singularities in the moduli space of string compactifications to six dimensions with $N=1$ supersymmetry. Such singularities arise from either massless particles or non-critical tensionless strings. The points with tensionless strings are sometimes phase transition points between different phases of the theory. These results appear to connect all known $N=1$ supersymmetric six-dimensional vacua.

[ { "created": "Fri, 1 Mar 1996 14:49:58 GMT", "version": "v1" } ]

2010-04-07

[ [ "Seiberg", "N.", "" ], [ "Witten", "E.", "" ] ]

We discuss the singularities in the moduli space of string compactifications to six dimensions with $N=1$ supersymmetry. Such singularities arise from either massless particles or non-critical tensionless strings. The points with tensionless strings are sometimes phase transition points between different phases of the theory. These results appear to connect all known $N=1$ supersymmetric six-dimensional vacua.

9.884538

8.378572

10.212861

8.559484

8.580263

9.402837

8.668619

8.052329

8.434347

10.611297

9.347557

8.906853

9.922116

9.118867

9.06426

8.974538

8.856954

8.512996

8.921432

9.843409

8.444281

hep-th/0006109

Maraner

P. Maraner

Fermion Quantum Numbers and Families Replication from an Extension of Space-Time Relativity

38 pages, 3 figures, Latex

null

hep-th gr-qc

null

The fermionic sector of the Standard Model of Elementary Particles emerges as the low energy limit of a single fermionic field freely propagating in a higher dimensional background. The local geometrical framework is obtained by enforcing at a space-time level the whole gauge group SO(1,3) x U(1) x SU(2) x SU(3) associated to fundamental interactions; equivalently, by assuming that internal gauge transformations are indeed local space-time transformations. The geometry naturally embodies freedoms corresponding to gravitational and non-gravitational gauge fields. As a consequence of the fact that the structural group is in part unitary, the motion of test particles gets automatically squeezed on an effective 1+3 space-time. Dimensional reduction takes place without compactification. In close analogy to the special relativistic mass-energy relation, the theory associates to every elementary particle an intrinsic energy presumably of the order of the Planck scale. The theory predicts the existence of a right-handed component of the neutrino and indicates the possibility of an extra U(1) gauge interaction.

[ { "created": "Thu, 15 Jun 2000 13:28:39 GMT", "version": "v1" } ]

2007-05-23

[ [ "Maraner", "P.", "" ] ]

The fermionic sector of the Standard Model of Elementary Particles emerges as the low energy limit of a single fermionic field freely propagating in a higher dimensional background. The local geometrical framework is obtained by enforcing at a space-time level the whole gauge group SO(1,3) x U(1) x SU(2) x SU(3) associated to fundamental interactions; equivalently, by assuming that internal gauge transformations are indeed local space-time transformations. The geometry naturally embodies freedoms corresponding to gravitational and non-gravitational gauge fields. As a consequence of the fact that the structural group is in part unitary, the motion of test particles gets automatically squeezed on an effective 1+3 space-time. Dimensional reduction takes place without compactification. In close analogy to the special relativistic mass-energy relation, the theory associates to every elementary particle an intrinsic energy presumably of the order of the Planck scale. The theory predicts the existence of a right-handed component of the neutrino and indicates the possibility of an extra U(1) gauge interaction.

11.930849

11.559406

11.520044

11.350886

11.559812

12.518464

11.947151

11.438491

11.541606

12.287534

11.91759

11.682461

11.249197

11.311861

11.367187

11.127251

11.393259

11.441982

11.464325

11.450319

11.601457

hep-th/9601147

Pms4

Conor Houghton and Paul Sutcliffe

Octahedral and Dodecahedral Monopoles

uuencoded latex, 20 pages, 2 figures To appear in Nonlinearity

null

10.1088/0951-7715/9/2/005

DAMTP 95-20

hep-th

null

It is shown that there exists a charge five monopole with octahedral symmetry and a charge seven monopole with icosahedral symmetry. A numerical implementation of the ADHMN construction is used to calculate the energy density of these monopoles and surfaces of constant energy density are displayed. The charge five and charge seven monopoles look like an octahedron and a dodecahedron respectively. A scattering geodesic for each of these monopoles is presented and discussed using rational maps. This is done with the aid of a new formula for the cluster decomposition of monopoles when the poles of the rational map are close together.

[ { "created": "Fri, 26 Jan 1996 17:43:18 GMT", "version": "v1" } ]

2009-10-30

[ [ "Houghton", "Conor", "" ], [ "Sutcliffe", "Paul", "" ] ]

It is shown that there exists a charge five monopole with octahedral symmetry and a charge seven monopole with icosahedral symmetry. A numerical implementation of the ADHMN construction is used to calculate the energy density of these monopoles and surfaces of constant energy density are displayed. The charge five and charge seven monopoles look like an octahedron and a dodecahedron respectively. A scattering geodesic for each of these monopoles is presented and discussed using rational maps. This is done with the aid of a new formula for the cluster decomposition of monopoles when the poles of the rational map are close together.

7.153188

6.894177

7.84062

6.489564

6.541643

6.622299

6.976563

6.752285

6.537027

7.61874

6.649673

6.670895

7.013195

6.760704

6.684011

6.774634

6.768637

6.710104

6.557276

7.207989

6.739039

1503.02811

Nejat Yilmaz

Nejat Tevfik Yilmaz

Cosmological Solution Moduli of Bigravity

33 pages

null

10.1088/1475-7516/2015/09/062

null

hep-th gr-qc

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

We construct the complete set of metric-configuration solutions of the ghost-free massive bigravity for the scenario in which the g-metric is the Friedmann-Lemaitre-Robertson-Walker (FLRW) one, and the interaction Lagrangian between the two metrics contributes an effective ideal fluid energy-momentum tensor to the g-metric equations. This set corresponds to the exact background cosmological solution space of the theory.

[ { "created": "Tue, 10 Mar 2015 08:37:12 GMT", "version": "v1" }, { "created": "Sun, 27 Sep 2015 13:35:51 GMT", "version": "v2" } ]

2015-10-07

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

We construct the complete set of metric-configuration solutions of the ghost-free massive bigravity for the scenario in which the g-metric is the Friedmann-Lemaitre-Robertson-Walker (FLRW) one, and the interaction Lagrangian between the two metrics contributes an effective ideal fluid energy-momentum tensor to the g-metric equations. This set corresponds to the exact background cosmological solution space of the theory.

9.537654

8.360147

8.525921

7.018659

7.880628

8.616547

8.558876

8.185637

8.060602

8.748476

7.39808

8.100458

8.170428

7.524022

8.054844

7.752703

7.767621

7.812436

8.297653

8.545769

7.596199

hep-th/0110173

Arkady Tseytlin

I.L. Buchbinder, A.Yu. Petrov and A.A. Tseytlin

Two-loop N=4 Super Yang Mills effective action and interaction between D3-branes

33 pages, latex

Nucl.Phys.B621:179-207,2002

10.1016/S0550-3213(01)00575-2

OHSTPY-HEP-T-01-22

hep-th

null

We compute the leading low-energy term in the planar part of the 2-loop contribution to the effective action of $\N=4$ SYM theory in 4 dimensions, assuming that the gauge group $SU(N+1)$ is broken to $SU(N) x U(1)$ by a constant scalar background $X$. While the leading 1-loop correction is the familiar $c_1 F^4/|X|^4$ term, the 2-loop expression starts with $c_2 F^6/|X|^8$. The 1-loop constant $c_1$ is known to be equal to the coefficient of the $F^4$ term in the Born-Infeld action for a probe D3-brane separated by distance $|X|$ from a large number $N$ of coincident D3-branes. We show that the same is true also for the 2-loop constant $c_2$: it matches the coefficient of the $F^6$ term in the D3-brane probe action. In the context of the AdS/CFT correspondence, this agreement suggests a non-renormalization of the coefficient of the $F^6$ term beyond two loops. Thus the result of hep-th/9706072 about the agreement between the $v^6$ term in the D0-brane supergravity interaction potential and the corresponding 2-loop term in the 1+0 dimensional reduction of $\N=4$ SYM theory has indeed a direct generalization to 1+3 dimensions, as conjectured earlier in hep-th/9709087. We also discuss the issue of gauge theory -- supergravity correspondence for higher order ($F^8$, etc.) terms.

[ { "created": "Thu, 18 Oct 2001 22:20:52 GMT", "version": "v1" }, { "created": "Sat, 20 Oct 2001 13:53:02 GMT", "version": "v2" } ]

2009-09-17

[ [ "Buchbinder", "I. L.", "" ], [ "Petrov", "A. Yu.", "" ], [ "Tseytlin", "A. A.", "" ] ]

We compute the leading low-energy term in the planar part of the 2-loop contribution to the effective action of $\N=4$ SYM theory in 4 dimensions, assuming that the gauge group $SU(N+1)$ is broken to $SU(N) x U(1)$ by a constant scalar background $X$. While the leading 1-loop correction is the familiar $c_1 F^4/|X|^4$ term, the 2-loop expression starts with $c_2 F^6/|X|^8$. The 1-loop constant $c_1$ is known to be equal to the coefficient of the $F^4$ term in the Born-Infeld action for a probe D3-brane separated by distance $|X|$ from a large number $N$ of coincident D3-branes. We show that the same is true also for the 2-loop constant $c_2$: it matches the coefficient of the $F^6$ term in the D3-brane probe action. In the context of the AdS/CFT correspondence, this agreement suggests a non-renormalization of the coefficient of the $F^6$ term beyond two loops. Thus the result of hep-th/9706072 about the agreement between the $v^6$ term in the D0-brane supergravity interaction potential and the corresponding 2-loop term in the 1+0 dimensional reduction of $\N=4$ SYM theory has indeed a direct generalization to 1+3 dimensions, as conjectured earlier in hep-th/9709087. We also discuss the issue of gauge theory -- supergravity correspondence for higher order ($F^8$, etc.) terms.

4.565477

4.818008

5.154938

4.660349

4.85817

4.814368

4.548905

4.712032

4.677391

5.817725

4.559624

4.631693

4.736687

4.524844

4.466411

4.541518

4.630161

4.616615

4.554589

4.876586

4.522585

1305.4848

Daniel Thompson

Alexander Sevrin and Daniel C. Thompson

A Note on Supersymmetric Chiral Bosons

22 pages

null

10.1007/JHEP07(2013)086

null

hep-th

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

In this note we extend the Pasti-Sorokin-Tonin formalism for chiral bosons in two dimensions to $N=(1,1)$ and $N=(2,2)$ superspace. In the latter case the formalism is developed for chiral, twisted chiral and semi-chiral superfields.

[ { "created": "Tue, 21 May 2013 15:10:04 GMT", "version": "v1" } ]

2015-06-16

[ [ "Sevrin", "Alexander", "" ], [ "Thompson", "Daniel C.", "" ] ]

In this note we extend the Pasti-Sorokin-Tonin formalism for chiral bosons in two dimensions to $N=(1,1)$ and $N=(2,2)$ superspace. In the latter case the formalism is developed for chiral, twisted chiral and semi-chiral superfields.

5.730616

3.68106

6.269157

3.821513

3.709374

3.462815

3.816028

3.565737

3.807922

6.935181

3.994832

4.108674

4.917759

4.080977

4.340672

4.243649

4.170158

4.24012

4.136091

4.911667

4.206381

1702.04277

Henrique Flores

Non-local conformal symmetry in Fronsdal theory

24 pages; typos fixed

null

hep-th

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

We write a first order action for higher-spin fields and construct a canonical map to Fronsdal theory. The first-order description is defined over complex field configurations and has conformal invariance. We show that it is possible to push forward these transformations to a set of symmetries in Fronsdal theory that satisfies the conformal algebra but is not given by standard conformal change of coordinates.

[ { "created": "Tue, 14 Feb 2017 16:26:25 GMT", "version": "v1" }, { "created": "Fri, 24 Feb 2017 20:39:31 GMT", "version": "v2" } ]

2017-02-28

[ [ "Flores", "Henrique", "" ] ]

We write a first order action for higher-spin fields and construct a canonical map to Fronsdal theory. The first-order description is defined over complex field configurations and has conformal invariance. We show that it is possible to push forward these transformations to a set of symmetries in Fronsdal theory that satisfies the conformal algebra but is not given by standard conformal change of coordinates.

13.195932

12.131521

12.706423

11.577193

11.131364

11.300305

11.555359

11.433684

10.792945

13.408222

11.274798

11.075446

10.92872

11.379087

10.717687

11.379318

11.035027

11.000533

11.064854

11.795652

10.842063

hep-th/0012206

Stuart Corney

S P Corney, P D Jarvis, I Tsohantjis and D S McAnally

Generalised scalar particle quantisation in 1+1 dimensions and $D(2,1;\alpha)$

16 pages, no figures

J.Phys.A34:4115-4128,2001

10.1088/0305-4470/34/19/310

UTAS-PHYS-00-15

hep-th

null

The exceptional superalgebra $\D21a$ has been classified as a candidate conformal supersymmetry algera in two dimensions. We propose an alternative interpretation of it as an extended BFV-BRST quantisation superalgebra in 2D ($D(2,1;1) \simeq osp(2,2|2)$). A superfield realization is presented wherein the standard extended phase space coordinates can be identified. The physical states are studied via the cohomology of the BRST operator. Finally we reverse engineer a classical action corresponding to the algebraic model we have constructed, and identify the Lagrangian equations of motion.

[ { "created": "Thu, 21 Dec 2000 05:42:05 GMT", "version": "v1" } ]

2008-11-26

[ [ "Corney", "S P", "" ], [ "Jarvis", "P D", "" ], [ "Tsohantjis", "I", "" ], [ "McAnally", "D S", "" ] ]

The exceptional superalgebra $\D21a$ has been classified as a candidate conformal supersymmetry algera in two dimensions. We propose an alternative interpretation of it as an extended BFV-BRST quantisation superalgebra in 2D ($D(2,1;1) \simeq osp(2,2|2)$). A superfield realization is presented wherein the standard extended phase space coordinates can be identified. The physical states are studied via the cohomology of the BRST operator. Finally we reverse engineer a classical action corresponding to the algebraic model we have constructed, and identify the Lagrangian equations of motion.

13.59561

10.583504

15.171418

12.971213

11.770422

12.190627

11.628529

12.123105

10.561096

15.688942

11.499381

12.390831

13.721275

12.315264

12.631301

12.029118

11.987185

12.350658

11.912065

13.990118

12.251115

2009.07009

Minxin Huang

Bao-ning Du, Min-xin Huang

Quantum Periods and TBA-like Equations for a Class of Calabi-Yau Geometries

23 pages, no figure. v2: journal version

null

10.1007/JHEP01(2021)002

USTC-ICTS/PCFT-20-30

hep-th

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

We continue the study of a novel relation between quantum periods and TBA(Thermodynamic Bethe Ansatz)-like difference equations, generalize previous works to a large class of Calabi-Yau geometries described by three-term quantum operators. We give two methods to derive the TBA-like equations. One method uses only elementary functions while the other method uses Faddeev's quantum dilogarithm function. The two approaches provide different realizations of TBA-like equations which are nevertheless related to the same quantum period.

[ { "created": "Tue, 15 Sep 2020 12:19:36 GMT", "version": "v1" }, { "created": "Thu, 31 Dec 2020 01:17:52 GMT", "version": "v2" } ]

2021-02-03

[ [ "Du", "Bao-ning", "" ], [ "Huang", "Min-xin", "" ] ]

We continue the study of a novel relation between quantum periods and TBA(Thermodynamic Bethe Ansatz)-like difference equations, generalize previous works to a large class of Calabi-Yau geometries described by three-term quantum operators. We give two methods to derive the TBA-like equations. One method uses only elementary functions while the other method uses Faddeev's quantum dilogarithm function. The two approaches provide different realizations of TBA-like equations which are nevertheless related to the same quantum period.

11.7088

9.86622

12.950321

9.437181

10.256821

11.311392

10.023643

10.396042

9.947802

13.926086

9.977847

11.151964

11.873706

10.84899

11.395411

11.111826

11.031204

11.174435

11.89532

12.980305

10.610733

1807.03695

Hongbo Cheng

Yue Zhong, Hongbo Cheng

The further estimations of the Q-balls with one-loop motivated effective potential

6 figures

International Journal of Theoretical Physics 58(2019)2251

10.1007/s10773-019-04117-4

null

hep-th

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

The analytical estimations on the Friedberg-Lee-Sirlin typed Q-balls is performed. The two-field Q-balls are also discussed under the one-loop motivated effective potential subject to the temperature. We argue under the analytical consideration that the parameters from the potential can be regulated to lead the energy per unit charge of Q-balls to be lower to keep the model stable. If the energy density is low enough, the Q-balls can become candidates of dark matter. It is also shown rigorously that the two-field Q-balls can generate in the first-order phase transition and survive while they are affected by the expansion of the universe. The analytical evaluations show that the Q-balls with one-loop motivated effective potential can exist with the adjustment of coefficients of terms. We cancel the infinity in the energy to obtain the necessary conditions consist with those imposed in the previous work. According to the approximate expressions instead of curves versus the model parameters with a series of fixed values, the lower temperature will reduce the energy density, so there probably have been more and more stable Friedberg-Lee-Sirlin typed Q-balls to become the dark matter in the expansion of the universe.

[ { "created": "Tue, 10 Jul 2018 15:10:03 GMT", "version": "v1" }, { "created": "Thu, 2 Jun 2022 06:59:06 GMT", "version": "v2" } ]

2022-06-08

[ [ "Zhong", "Yue", "" ], [ "Cheng", "Hongbo", "" ] ]

The analytical estimations on the Friedberg-Lee-Sirlin typed Q-balls is performed. The two-field Q-balls are also discussed under the one-loop motivated effective potential subject to the temperature. We argue under the analytical consideration that the parameters from the potential can be regulated to lead the energy per unit charge of Q-balls to be lower to keep the model stable. If the energy density is low enough, the Q-balls can become candidates of dark matter. It is also shown rigorously that the two-field Q-balls can generate in the first-order phase transition and survive while they are affected by the expansion of the universe. The analytical evaluations show that the Q-balls with one-loop motivated effective potential can exist with the adjustment of coefficients of terms. We cancel the infinity in the energy to obtain the necessary conditions consist with those imposed in the previous work. According to the approximate expressions instead of curves versus the model parameters with a series of fixed values, the lower temperature will reduce the energy density, so there probably have been more and more stable Friedberg-Lee-Sirlin typed Q-balls to become the dark matter in the expansion of the universe.

19.437025

20.86289

18.45521

19.88022

19.87389

20.625555

18.580173

19.481133

18.707205

19.026794

19.140049

18.890194

18.780245

18.918287

19.152777

18.851139

18.5487

18.434931

18.815767

18.895109

18.878489

hep-th/9408041

null

L.D. Faddeev

Current-Like Variables in Massive and Massless Integrable Models

null

hep-th

null

Lectures delivered at the International School of Physics "Enrico Fermi", held in Villa Monastero, Varenna, Italy, 94.

[ { "created": "Sun, 7 Aug 1994 23:57:11 GMT", "version": "v1" } ]

2007-05-23

[ [ "Faddeev", "L. D.", "" ] ]

Lectures delivered at the International School of Physics "Enrico Fermi", held in Villa Monastero, Varenna, Italy, 94.

5.606978

5.425165

6.201003

4.639685

6.014495

5.126541

5.843089

6.247947

4.204954

5.579979

5.086133

4.093665

4.408583

4.348946

3.888453

3.833517

3.897386

4.215149

4.136334

4.496265

4.304077

1703.00697

Juergen Berges

J. Berges, M. Mace, S. Schlichting

Universal self-similar scaling of spatial Wilson loops out of equilibrium

5 pages, 4 figures, PRL version (minor text changes)

Phys. Rev. Lett. 118, 192005 (2017)

10.1103/PhysRevLett.118.192005

null

hep-th hep-lat hep-ph

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

We investigate strongly correlated non-Abelian plasmas out of equilibrium. Based on numerical simulations, we establish a self-similar scaling property for the time evolution of spatial Wilson loops that characterizes a universal state of matter far from equilibrium. Most remarkably, it exhibits a generalized area law which holds for sufficiently large ratio of spatial area and fractional power of time. Performing calculations also for the perturbative regime at higher momenta, we are able to characterize the full nonthermal scaling properties of SU(2) and SU(3) symmetric plasmas from short to large distance scales in terms of two independent universal exponents and associated scaling functions.

[ { "created": "Thu, 2 Mar 2017 10:16:59 GMT", "version": "v1" }, { "created": "Mon, 22 May 2017 13:56:51 GMT", "version": "v2" } ]

2017-05-23

[ [ "Berges", "J.", "" ], [ "Mace", "M.", "" ], [ "Schlichting", "S.", "" ] ]

We investigate strongly correlated non-Abelian plasmas out of equilibrium. Based on numerical simulations, we establish a self-similar scaling property for the time evolution of spatial Wilson loops that characterizes a universal state of matter far from equilibrium. Most remarkably, it exhibits a generalized area law which holds for sufficiently large ratio of spatial area and fractional power of time. Performing calculations also for the perturbative regime at higher momenta, we are able to characterize the full nonthermal scaling properties of SU(2) and SU(3) symmetric plasmas from short to large distance scales in terms of two independent universal exponents and associated scaling functions.

14.244378

16.236967

13.324334

13.577551

16.198362

17.048325

16.5438

14.818962

13.901048

15.397645

15.501536

14.529462

13.673233

13.543662

13.694407

13.827952

13.972688

14.249372

13.666468

13.814768

13.615338

1412.5702

Joseph Polchinski

Ben Michel, Eric Mintun, Joseph Polchinski, Andrea Puhm, Philip Saad

Remarks on brane and antibrane dynamics

20 pages, 3 figures. v2: Error in v1 corrected: antibranes even more stable. v3: Minor clarifications

null

hep-th

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

We develop the point of view that brane actions should be understood in the context of effective field theory, and that this is the correct way to treat classical as well as loop divergences. We illustrate this idea in a simple model. We then consider the implications for the dynamics of antibranes in flux backgrounds, focusing on the simplest case of a single antibrane. We argue that there is no tachyonic instability at zero temperature, but there is a nonperturbative process in which an antibrane annihilates with its screening cloud. This is distinct from the NS5-brane instanton decay. Constraints on models of metastable supersymmetry breaking by antibranes may be tightened, but there is no problem of principle with this mechanism.

[ { "created": "Thu, 18 Dec 2014 02:21:27 GMT", "version": "v1" }, { "created": "Sun, 8 Feb 2015 07:34:17 GMT", "version": "v2" }, { "created": "Tue, 11 Aug 2015 00:01:30 GMT", "version": "v3" } ]

2015-08-12

[ [ "Michel", "Ben", "" ], [ "Mintun", "Eric", "" ], [ "Polchinski", "Joseph", "" ], [ "Puhm", "Andrea", "" ], [ "Saad", "Philip", "" ] ]

We develop the point of view that brane actions should be understood in the context of effective field theory, and that this is the correct way to treat classical as well as loop divergences. We illustrate this idea in a simple model. We then consider the implications for the dynamics of antibranes in flux backgrounds, focusing on the simplest case of a single antibrane. We argue that there is no tachyonic instability at zero temperature, but there is a nonperturbative process in which an antibrane annihilates with its screening cloud. This is distinct from the NS5-brane instanton decay. Constraints on models of metastable supersymmetry breaking by antibranes may be tightened, but there is no problem of principle with this mechanism.

8.892834

8.557775

8.865887

8.268396

7.957152

8.38897

9.569566

7.955149

8.152834

9.797355

8.178238

8.554388

9.365861

8.435021

8.497461

8.793077

8.628336

8.624875

8.469254

9.113318

8.600216

2402.04150

Walker Melton

Walker Melton and Atul Sharma and Andrew Strominger

Soft Algebras for Leaf Amplitudes

13 pages

null

hep-th

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

Celestial MHV amplitudes are comprised of non-distributional leaf amplitudes associated to an AdS$_3$ leaf of a foliation of flat spacetime. It is shown here that the leaf amplitudes are governed by the same infinite-dimensional soft `$S$-algebra' as their celestial counterparts. Moreover, taking the soft limit of the smooth three-point MHV leaf amplitude yields a nondegenerate minus-minus two-point leaf amplitude. The two- and three-point MHV leaf amplitudes are used to compute the plus-minus-minus leaf operator product coefficients.

[ { "created": "Tue, 6 Feb 2024 17:02:54 GMT", "version": "v1" } ]

2024-02-07

[ [ "Melton", "Walker", "" ], [ "Sharma", "Atul", "" ], [ "Strominger", "Andrew", "" ] ]

Celestial MHV amplitudes are comprised of non-distributional leaf amplitudes associated to an AdS$_3$ leaf of a foliation of flat spacetime. It is shown here that the leaf amplitudes are governed by the same infinite-dimensional soft `$S$-algebra' as their celestial counterparts. Moreover, taking the soft limit of the smooth three-point MHV leaf amplitude yields a nondegenerate minus-minus two-point leaf amplitude. The two- and three-point MHV leaf amplitudes are used to compute the plus-minus-minus leaf operator product coefficients.

19.359522

13.917755

20.579885

14.159799

14.329286

15.833156

14.563439

13.140855

14.173991

19.954115

13.700148

14.144547

16.46834

14.421419

14.033172

13.647078

14.064785

13.623518

13.678235

16.373737

15.300237

1602.03952

Shu Lin

Er-dong Guo and Shu Lin

Mass Effect on Axial Charge Dynamics

22 pages, 5 figures

Phys. Rev. D 93, 105001 (2016)

10.1103/PhysRevD.93.105001

null

hep-th hep-ph nucl-th

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

We studied effect of finite quark mass on the dynamics of axial charge using the D3/D7 model in holography. The mass term in axial anomaly equation affects both the fluctuation (generation) and dissipation of axial charge. We studied the dependence of the effect on quark mass and external magnetic field. For axial charge generation, we calculated the mass diffusion rate, which characterizes the helicity flipping rate. The rate is a non-monotonous function of mass and can be significantly enhanced by the magnetic field. The diffusive behavior is also related to a divergent susceptibility of axial charge. For axial charge dissipation, we found that in the long time limit, the mass term dissipates all the charge effectively generated by parallel electric and magnetic fields. The result is consistent with a relaxation time approximation. The rate of dissipation through mass term is a monotonous increasing function of both quark mass and magnetic field.

[ { "created": "Fri, 12 Feb 2016 03:00:46 GMT", "version": "v1" }, { "created": "Sat, 4 Jun 2016 09:19:55 GMT", "version": "v2" } ]

2016-06-07

[ [ "Guo", "Er-dong", "" ], [ "Lin", "Shu", "" ] ]

We studied effect of finite quark mass on the dynamics of axial charge using the D3/D7 model in holography. The mass term in axial anomaly equation affects both the fluctuation (generation) and dissipation of axial charge. We studied the dependence of the effect on quark mass and external magnetic field. For axial charge generation, we calculated the mass diffusion rate, which characterizes the helicity flipping rate. The rate is a non-monotonous function of mass and can be significantly enhanced by the magnetic field. The diffusive behavior is also related to a divergent susceptibility of axial charge. For axial charge dissipation, we found that in the long time limit, the mass term dissipates all the charge effectively generated by parallel electric and magnetic fields. The result is consistent with a relaxation time approximation. The rate of dissipation through mass term is a monotonous increasing function of both quark mass and magnetic field.

8.941815

9.047076

8.65451

8.75079

9.578404

9.06311

8.6351

9.323163

8.328067

9.959786

9.070625

8.853284

8.672158

8.36357

8.832688

8.677108

8.644408

8.84729

8.800817

8.985935

8.536345

hep-th/9502122

Ctirad Klimcik

C. Klimcik, P. Severa

Dual Non-Abelian Duality and the Drinfeld Double

(misprint in the bialgebra condition corrected)

Phys.Lett.B351:455-462,1995

10.1016/0370-2693(95)00451-P

null

hep-th

null

The standard notion of the non-Abelian duality in string theory is generalized to the class of $\si$-models admitting `non-commutative conserved charges'. Such $\si$-models can be associated with every Lie bialgebra $(\cg ,\cgt)$ and they possess an isometry group iff the commutant $[\cgt,\cgt]$ is not equal to $\cgt$. Within the enlarged class of the backgrounds the non-Abelian duality {\it is} a duality transformation in the proper sense of the word. It exchanges the roles of $\cg$ and $\cgt$ and it can be interpreted as a symplectomorphism of the phase spaces of the mutually dual theories. We give explicit formulas for the non-Abelian duality transformation for any $(\cg,\cgt)$. The non-Abelian analogue of the Abelian modular space $O(d,d;{\bf Z})$ consists of all maximally isotropic decompositions of the corresponding Drinfeld double.

[ { "created": "Mon, 20 Feb 1995 17:35:40 GMT", "version": "v1" }, { "created": "Wed, 22 Feb 1995 14:16:44 GMT", "version": "v2" }, { "created": "Mon, 10 Jul 1995 17:27:24 GMT", "version": "v3" } ]

2009-07-09

[ [ "Klimcik", "C.", "" ], [ "Severa", "P.", "" ] ]

The standard notion of the non-Abelian duality in string theory is generalized to the class of $\si$-models admitting `non-commutative conserved charges'. Such $\si$-models can be associated with every Lie bialgebra $(\cg ,\cgt)$ and they possess an isometry group iff the commutant $[\cgt,\cgt]$ is not equal to $\cgt$. Within the enlarged class of the backgrounds the non-Abelian duality {\it is} a duality transformation in the proper sense of the word. It exchanges the roles of $\cg$ and $\cgt$ and it can be interpreted as a symplectomorphism of the phase spaces of the mutually dual theories. We give explicit formulas for the non-Abelian duality transformation for any $(\cg,\cgt)$. The non-Abelian analogue of the Abelian modular space $O(d,d;{\bf Z})$ consists of all maximally isotropic decompositions of the corresponding Drinfeld double.

8.120241

8.013157

8.958129

8.04533

8.265069

8.289583

8.924207

8.378307

7.873401

9.440745

7.537389

8.063294

8.404065

7.782764

7.922643

7.924511

8.066113

7.926516

7.851314

8.498353

7.753073

1909.03088

Atanu Bhatta

Atanu Bhatta, Shankhadeep Chakrabortty, Suat Dengiz and Ercan Kilicarslan

High temperature behavior of non-local observables in boosted strongly coupled plasma: A holographic study

25+1 pages, New results and improved exposition. Subsection added to compute entanglement entropy for perpendicular case. References added. Published in Eur.Phys.J.C

null

10.1140/epjc/s10052-020-8206-1

null

hep-th

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

In this work, we perform a holographic analysis to study non local observables associated to a uniformly \textit{boosted} strongly coupled large $N$ thermal plasma in $d$-dimensions. In order to accomplish the holographic analysis, the appropriate dual bulk theory turns out to be $d+1$ dimensional \textit{boosted} AdS-Schwarzschild blackhole background. In particular, we compute entanglement entropy of the boosted plasma at high temperature living inside a strip geometry with entangling width $l$ in the boundary at a particular instant of time. We also study the two-point correlators in the boundary by following geodesic approximation method. For analyzing the effect of boosting on the thermal plasma and correspondingly on both non local observables, we keep the alignment of the width of region of interest both parallel and perpendicular to the direction of the boost. We find our results significantly modified compared to those in un-boosted plasma up to the quadratic order of the boost velocity $v$. More interestingly, the relative orientation of the boost and the entangling width plays a crucial role to quantify the holographic entanglement entropy in the boundary theory. The breaking of rotational symmetry in the boundary theory due to the boosting of the plasma along a specific flat direction causes this interesting feature.

[ { "created": "Fri, 6 Sep 2019 18:50:50 GMT", "version": "v1" }, { "created": "Fri, 31 Jul 2020 14:43:02 GMT", "version": "v2" } ]

2020-08-26

[ [ "Bhatta", "Atanu", "" ], [ "Chakrabortty", "Shankhadeep", "" ], [ "Dengiz", "Suat", "" ], [ "Kilicarslan", "Ercan", "" ] ]

In this work, we perform a holographic analysis to study non local observables associated to a uniformly \textit{boosted} strongly coupled large $N$ thermal plasma in $d$-dimensions. In order to accomplish the holographic analysis, the appropriate dual bulk theory turns out to be $d+1$ dimensional \textit{boosted} AdS-Schwarzschild blackhole background. In particular, we compute entanglement entropy of the boosted plasma at high temperature living inside a strip geometry with entangling width $l$ in the boundary at a particular instant of time. We also study the two-point correlators in the boundary by following geodesic approximation method. For analyzing the effect of boosting on the thermal plasma and correspondingly on both non local observables, we keep the alignment of the width of region of interest both parallel and perpendicular to the direction of the boost. We find our results significantly modified compared to those in un-boosted plasma up to the quadratic order of the boost velocity $v$. More interestingly, the relative orientation of the boost and the entangling width plays a crucial role to quantify the holographic entanglement entropy in the boundary theory. The breaking of rotational symmetry in the boundary theory due to the boosting of the plasma along a specific flat direction causes this interesting feature.

8.14049

7.523657

9.270718

7.930576

8.352783

8.07248

8.306693

7.727571

7.927397

9.606606

7.914864

8.043983

8.146627

7.930977

8.149788

8.016234

8.033205

7.951992

7.888343

8.249723

7.780994

1109.0453

Emil Nissimov

Eduardo Guendelman, Alexander Kaganovich, Emil Nissimov, Svetlana Pacheva

Hiding and Confining Charges via "Tube-like" Wormholes

26 pages, 2 figures; v.2 several references added, missing constant factors in few equations inserted, acknowledgement added, results unchanged; v.3 28 pages, several clarifying remarks, references and acknowledgements added, version to appear in International Journal of Modern Physics A

Int.J. Mod. Phys. A26 (2011) 5211-5239

10.1142/S0217751X11054851

null

hep-th gr-qc

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

We describe two interesting effects in wormhole physics. First, we find that a genuinely charged matter source may appear neutral to an external observer - a phenomenon opposite to the famous Misner-Wheeler "charge without charge" effect. This phenomenon takes place when coupling a bulk gravity/nonlinear-gauge-field system to a charged lightlike brane as a matter source. The "charge-hiding" effect occurs in a wormhole solution which connects a non-compact "universe", comprising the exterior region of Schwarzschild-(anti-)de-Sitter (SdS) or purely Schwarzschild black hole beyond the Schwarzschild horizon, to a Levi-Civita-Bertotti-Robinson-type (LCBR) "tube-like" "universe" via a wormhole "throat" occupied by the brane. In this solution the whole electric flux produced by the brane is expelled into the "tube-like" "universe" and the brane is detected as neutral by an observer in the non-compact "universe". Next, we find a truly charge-confining wormhole solution when we couple the bulk gravity/nonlinear-gauge-field system to two oppositely charged lightlike branes. The latter system possesses a "two-throat" wormhole solution, where the "left-most" and the "right-most" "universes" are two identical copies of the exterior region of SdS black hole beyond the Schwarzschild horizon, whereas the "middle" "universe" is of LCBR "tube-like" form with geometry dS_2 x S^2. It comprises the finite-extent intermediate region of dS_2 between its two horizons. Both "throats" are occupied by the two oppositely charged lightlike branes and the whole electric flux produced by the latter is confined entirely within the middle "tube-like" "universe". A crucial ingredient is the special form of the nonlinear gauge field action, which contains both the standard Maxwell term as well as a square root of the latter. This theory was previously shown to produce a QCD-like confining dynamics in flat space-time.

[ { "created": "Fri, 2 Sep 2011 14:25:53 GMT", "version": "v1" }, { "created": "Sun, 16 Oct 2011 17:20:01 GMT", "version": "v2" }, { "created": "Tue, 25 Oct 2011 07:33:28 GMT", "version": "v3" } ]

2015-05-30

[ [ "Guendelman", "Eduardo", "" ], [ "Kaganovich", "Alexander", "" ], [ "Nissimov", "Emil", "" ], [ "Pacheva", "Svetlana", "" ] ]

We describe two interesting effects in wormhole physics. First, we find that a genuinely charged matter source may appear neutral to an external observer - a phenomenon opposite to the famous Misner-Wheeler "charge without charge" effect. This phenomenon takes place when coupling a bulk gravity/nonlinear-gauge-field system to a charged lightlike brane as a matter source. The "charge-hiding" effect occurs in a wormhole solution which connects a non-compact "universe", comprising the exterior region of Schwarzschild-(anti-)de-Sitter (SdS) or purely Schwarzschild black hole beyond the Schwarzschild horizon, to a Levi-Civita-Bertotti-Robinson-type (LCBR) "tube-like" "universe" via a wormhole "throat" occupied by the brane. In this solution the whole electric flux produced by the brane is expelled into the "tube-like" "universe" and the brane is detected as neutral by an observer in the non-compact "universe". Next, we find a truly charge-confining wormhole solution when we couple the bulk gravity/nonlinear-gauge-field system to two oppositely charged lightlike branes. The latter system possesses a "two-throat" wormhole solution, where the "left-most" and the "right-most" "universes" are two identical copies of the exterior region of SdS black hole beyond the Schwarzschild horizon, whereas the "middle" "universe" is of LCBR "tube-like" form with geometry dS_2 x S^2. It comprises the finite-extent intermediate region of dS_2 between its two horizons. Both "throats" are occupied by the two oppositely charged lightlike branes and the whole electric flux produced by the latter is confined entirely within the middle "tube-like" "universe". A crucial ingredient is the special form of the nonlinear gauge field action, which contains both the standard Maxwell term as well as a square root of the latter. This theory was previously shown to produce a QCD-like confining dynamics in flat space-time.

6.768136

6.819167

7.337573

6.9118

7.082176

7.463154

7.20855

6.970443

7.232565

7.817026

7.037394

6.921868

7.094221

6.850654

6.910472

7.032619

6.931791

6.863702

6.838725

7.344995

6.873821

2010.07967

Simeon Hellerman

Simeon Hellerman and Ian Swanson

Droplet-Edge Operators in Nonrelativistic Conformal Field Theories

49 pages, LaTeX

null

IPMU20-0107

hep-th

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

We consider the large-charge expansion of the charged ground state of a Schrodinger-invariant, nonrelativistic conformal field theory in a harmonic trap, in general dimension d. In the existing literature, the energy in the trap has been computed to next-to-leading order (NLO) at large charge Q, which comes from the classical contribution of two higher-derivative terms in the effective field theory. In this note, we explain the structure of operators localized at the edge of the droplet, where the density drops to zero. We list all operators contributing to the ground-state energy with nonnegative powers of Q in the large-Q expansion. As a test, we use dimensional regularization to reproduce the calculation of the NLO ground state energy by Kravec and Pal , and we recover the same universal coefficient for the logarithmic term as in that work. We refine the derivation by presenting a systematic operator analysis of the possible edge counterterms, showing that different choices of cutoff procedures must yield the same renormalized result up to an enumerable list of Wilson coefficients for conformally invariant local counterterms at the droplet edge. We also demonstrate the existence of a previously unnoticed edge contribution to the ground-state operator dimension of order Q^{{2\over 3} - {1\over d}} in d spatial dimensions. Finally, we show there is no bulk or edge counterterm scaling as Q^0 in two spatial dimensions, which establishes the universality of the order Q^0 term in large-Q expansion of the lowest charged operator dimension in d=2.

[ { "created": "Thu, 15 Oct 2020 18:19:34 GMT", "version": "v1" } ]

2020-10-19

[ [ "Hellerman", "Simeon", "" ], [ "Swanson", "Ian", "" ] ]

We consider the large-charge expansion of the charged ground state of a Schrodinger-invariant, nonrelativistic conformal field theory in a harmonic trap, in general dimension d. In the existing literature, the energy in the trap has been computed to next-to-leading order (NLO) at large charge Q, which comes from the classical contribution of two higher-derivative terms in the effective field theory. In this note, we explain the structure of operators localized at the edge of the droplet, where the density drops to zero. We list all operators contributing to the ground-state energy with nonnegative powers of Q in the large-Q expansion. As a test, we use dimensional regularization to reproduce the calculation of the NLO ground state energy by Kravec and Pal , and we recover the same universal coefficient for the logarithmic term as in that work. We refine the derivation by presenting a systematic operator analysis of the possible edge counterterms, showing that different choices of cutoff procedures must yield the same renormalized result up to an enumerable list of Wilson coefficients for conformally invariant local counterterms at the droplet edge. We also demonstrate the existence of a previously unnoticed edge contribution to the ground-state operator dimension of order Q^{{2\over 3} - {1\over d}} in d spatial dimensions. Finally, we show there is no bulk or edge counterterm scaling as Q^0 in two spatial dimensions, which establishes the universality of the order Q^0 term in large-Q expansion of the lowest charged operator dimension in d=2.

10.558176

11.328424

11.597956

10.711773

10.942754

11.15952

11.525118

10.366646

10.44287

12.155581

10.265192

10.150539

10.385321

9.975049

10.094558

10.042385

10.220488

9.998546

10.120314

10.438481

10.021123

hep-th/9901091

Rikard von Unge

Branes at Generalized Conifolds and Toric Geometry

19 pages, 8 figures; v2: references added, clarifying footnote on Seiberg's duality added

JHEP 9902 (1999) 023

10.1088/1126-6708/1999/02/023

null

hep-th

null

We use toric geometry to investigate the recently proposed relation between a set of D3 branes at a generalized conifold singularity and type IIA configurations of D4 branes stretched between a number of relatively rotated NS5 branes. In particular we investigate how various resolutions of the singularity corresponds to moving the NS branes and how Seiberg's duality is realized when two relatively rotated NS-branes are interchanged.

[ { "created": "Wed, 20 Jan 1999 18:42:35 GMT", "version": "v1" }, { "created": "Fri, 29 Jan 1999 13:51:43 GMT", "version": "v2" } ]

2009-10-31

[ [ "von Unge", "Rikard", "" ] ]

We use toric geometry to investigate the recently proposed relation between a set of D3 branes at a generalized conifold singularity and type IIA configurations of D4 branes stretched between a number of relatively rotated NS5 branes. In particular we investigate how various resolutions of the singularity corresponds to moving the NS branes and how Seiberg's duality is realized when two relatively rotated NS-branes are interchanged.

10.105765

7.43476

10.375436

8.873053

8.260359

7.24172

7.737482

7.854015

8.536897

10.355564

8.113391

8.637417

9.959986

8.481981

8.418538

8.757257

8.659969

8.913417

8.796762

9.253162

8.900077

hep-th/0205065

Carlos Castro

The programs of the Extended Relativity in C-spaces: towards the physical foundations of String Theory

19 pages, Latex file. Invited talk at the NATO advanced workshop on the nature of time, geometry, physics and perception. Slovakia, May 2002

null

hep-th

null

An outline is presented of the Extended Scale Relativity (ESR) in C-spaces (Clifford manifolds), where the speed of light and the minimum Planck scale are the two universal invariants. This represents in a sense an extension of the theory developed by L. Nottale long ago. It is shown how all the dimensions of a C-space can be treated on equal footing by implementing the holographic principle associated with a nested family of p-loops of various dimensionalities. This is achieved by using poly-vector valued coordinates in C-spaces that encode in one stroke points, lines, areas, volumes,... In addition, we review the derivation of the minimal-length string uncertainty relations; the logarithmic corrections (valid in any dimension) to the black hole area-entropy relation. We also show how the higher derivative gravity with torsion and the recent results of kappa-deformed Poincare theories of gravity follow naturally from the geometry of C-spaces. In conclusion some comments are made on the cosmological implications of this theory with respect to the cosmological constant problem, the two modes of time, the expansion of the universe, number four as the average dimension of our world and a variable fine structure constant.

[ { "created": "Tue, 7 May 2002 19:23:48 GMT", "version": "v1" } ]

2007-05-23

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

An outline is presented of the Extended Scale Relativity (ESR) in C-spaces (Clifford manifolds), where the speed of light and the minimum Planck scale are the two universal invariants. This represents in a sense an extension of the theory developed by L. Nottale long ago. It is shown how all the dimensions of a C-space can be treated on equal footing by implementing the holographic principle associated with a nested family of p-loops of various dimensionalities. This is achieved by using poly-vector valued coordinates in C-spaces that encode in one stroke points, lines, areas, volumes,... In addition, we review the derivation of the minimal-length string uncertainty relations; the logarithmic corrections (valid in any dimension) to the black hole area-entropy relation. We also show how the higher derivative gravity with torsion and the recent results of kappa-deformed Poincare theories of gravity follow naturally from the geometry of C-spaces. In conclusion some comments are made on the cosmological implications of this theory with respect to the cosmological constant problem, the two modes of time, the expansion of the universe, number four as the average dimension of our world and a variable fine structure constant.

14.339569

16.314066

15.364189

14.086749

15.008869

14.703594

15.418463

15.216344

14.264072

15.762691

13.872439

14.029666

13.565631

13.588008

14.146048

14.0059

14.246807

14.05922

13.781322

13.698805

13.862007

hep-th/9303100

null

S.Kharchev, A.Marshakov

On pq-duality and explicit solutions in $c \le 1$ $2d$ gravity models

NORDITA 93/20, FIAN-TD-04/93, latex, 20 pp

Int. J. Mod. Phys. A10 (1995) 1219

10.1142/S0217751X95000577

null

hep-th

null

We study the integral representation for the exact solution to nonperturbative $c le 1$ string theory. A generic solution is determined by two functions $W(x)$ and $Q(x)$ which behaive at infinity like $x^p$ and $x^q$ respectively. The integral model for arbitrary $(p,q)$ models is derived which explicitely demonstrates $p-q$ duality of minimal models coupled to gravity. We discuss also the exact solutions to string equation and reduction condition and present several explicit examples.

[ { "created": "Wed, 17 Mar 1993 23:08:38 GMT", "version": "v1" } ]

2015-06-26

[ [ "Kharchev", "S.", "" ], [ "Marshakov", "A.", "" ] ]

We study the integral representation for the exact solution to nonperturbative $c le 1$ string theory. A generic solution is determined by two functions $W(x)$ and $Q(x)$ which behaive at infinity like $x^p$ and $x^q$ respectively. The integral model for arbitrary $(p,q)$ models is derived which explicitely demonstrates $p-q$ duality of minimal models coupled to gravity. We discuss also the exact solutions to string equation and reduction condition and present several explicit examples.

18.598757

15.225196

20.23518

14.423011

14.309065

14.101481

13.853969

14.740403

13.682067

20.759951

14.05798

14.914227

20.007469

15.534975

15.40066

15.220227

15.458366

15.705387

15.8201

19.665073

15.53035

2102.11305

Leonardo Santilli

Leonardo Santilli and Miguel Tierz

Multiple phases and meromorphic deformations of unitary matrix models

36 pages, 11 figures. v2: minor changes, published version

Nucl. Phys. B 976 (2022) 115694

10.1016/j.nuclphysb.2022.115694

null

hep-th math-ph math.MP

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

We study a unitary matrix model with Gross-Witten-Wadia weight function and determinant insertions. After some exact evaluations, we characterize the intricate phase diagram. There are five possible phases: an ungapped phase, two different one-cut gapped phases and two other two-cut gapped phases. The transition from the ungapped phase to any gapped phase is third order, but the transition between any one-cut and any two-cut phase is second order. The physics of tunneling from a metastable vacuum to a stable one and of different releases of instantons is discussed. Wilson loops, $\beta$-functions and aspects of chiral symmetry breaking are investigated as well. Furthermore, we study in detail the meromorphic deformation of a general class of unitary matrix models, in which the integration contour is not anchored to the unit circle. The ensuing phase diagram is characterized by symplectic singularities and captured by a Hasse diagram.

[ { "created": "Mon, 22 Feb 2021 19:01:23 GMT", "version": "v1" }, { "created": "Tue, 22 Mar 2022 19:33:26 GMT", "version": "v2" } ]

2022-03-24

[ [ "Santilli", "Leonardo", "" ], [ "Tierz", "Miguel", "" ] ]

We study a unitary matrix model with Gross-Witten-Wadia weight function and determinant insertions. After some exact evaluations, we characterize the intricate phase diagram. There are five possible phases: an ungapped phase, two different one-cut gapped phases and two other two-cut gapped phases. The transition from the ungapped phase to any gapped phase is third order, but the transition between any one-cut and any two-cut phase is second order. The physics of tunneling from a metastable vacuum to a stable one and of different releases of instantons is discussed. Wilson loops, $\beta$-functions and aspects of chiral symmetry breaking are investigated as well. Furthermore, we study in detail the meromorphic deformation of a general class of unitary matrix models, in which the integration contour is not anchored to the unit circle. The ensuing phase diagram is characterized by symplectic singularities and captured by a Hasse diagram.

10.857861

10.69274

11.867401

10.25463

11.029195

10.5613

9.995712

10.91755

9.667937

12.540965

10.28957

10.962023

11.341488

10.666783

10.597627

10.580276

10.606359

10.490602

10.640479

11.062783

10.231756

hep-th/9910033

Ryu Sasaki

A.J. Bordner, N.S. Manton and R. Sasaki

Calogero-Moser Models V: Supersymmetry and Quantum Lax Pair

LaTeX2e, 31 pages, no figures

Prog.Theor.Phys. 103 (2000) 463-487

10.1143/PTP.103.463

YITP-99-47, DAMTP-1999-135

hep-th cond-mat math-ph math.MP nlin.SI quant-ph solv-int

null

It is shown that the Calogero-Moser models based on all root systems of the finite reflection groups (both the crystallographic and non-crystallographic cases) with the rational (with/without a harmonic confining potential), trigonometric and hyperbolic potentials can be simply supersymmetrised in terms of superpotentials. There is a universal formula for the supersymmetric ground state wavefunction. Since the bosonic part of each supersymmetric model is the usual quantum Calogero-Moser model, this gives a universal formula for its ground state wavefunction and energy, which is determined purely algebraically. Quantum Lax pair operators and conserved quantities for all the above Calogero-Moser models are established.

[ { "created": "Tue, 5 Oct 1999 01:48:36 GMT", "version": "v1" } ]

2009-10-31

[ [ "Bordner", "A. J.", "" ], [ "Manton", "N. S.", "" ], [ "Sasaki", "R.", "" ] ]

It is shown that the Calogero-Moser models based on all root systems of the finite reflection groups (both the crystallographic and non-crystallographic cases) with the rational (with/without a harmonic confining potential), trigonometric and hyperbolic potentials can be simply supersymmetrised in terms of superpotentials. There is a universal formula for the supersymmetric ground state wavefunction. Since the bosonic part of each supersymmetric model is the usual quantum Calogero-Moser model, this gives a universal formula for its ground state wavefunction and energy, which is determined purely algebraically. Quantum Lax pair operators and conserved quantities for all the above Calogero-Moser models are established.

8.147492

7.549455

9.611788

7.64292

7.847664

7.427214

7.855731

7.63397

8.097558

8.734958

7.110432

7.409619

7.994444

7.607493

7.777632

7.582681

7.606309

7.337648

7.513011

8.165487

7.730088

2003.03062

Luca Romano

Eric Bergshoeff, Jos\'e Manuel Izquierdo and Luca Romano

Carroll versus Galilei from a Brane Perspective

20 pages

null

10.1007/JHEP10(2020)066

null

hep-th gr-qc

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

We show that our previous work on Galilei and Carroll gravity, apt for particles, can be generalized to Galilei and Carroll gravity theories adapted to p-branes (p = 0, 1, 2, ...). Within this wider brane perspective, we make use of a formal map, given in the literature, between the corresponding p-brane Carroll and Galilei algebras where the index describing the directions longitudinal (transverse) to the Galilei brane is interchanged with the index covering the directions transverse (longitudinal) to the Carroll brane with the understanding that the time coordinate is always among the longitudinal directions. This leads among other things in 3D to a map between Galilei particles and Carroll strings and in 4D to a similar map between Galilei strings and Carroll strings. We show that this formal map extends to the corresponding Lie algebra expansion of the Poincar\'e algebra and, therefore, to several extensions of the Carroll and Galilei algebras including central extensions. We use this formal map to construct several new examples of Carroll gravity actions. Furthermore, we discuss the symmetry between Carroll and Galilei at the level of the p-brane sigma model action and apply this formal symmetry to give several examples of 3D and 4D particles and strings in a curved Carroll background.

[ { "created": "Fri, 6 Mar 2020 07:49:18 GMT", "version": "v1" } ]

2020-10-28

[ [ "Bergshoeff", "Eric", "" ], [ "Izquierdo", "José Manuel", "" ], [ "Romano", "Luca", "" ] ]

We show that our previous work on Galilei and Carroll gravity, apt for particles, can be generalized to Galilei and Carroll gravity theories adapted to p-branes (p = 0, 1, 2, ...). Within this wider brane perspective, we make use of a formal map, given in the literature, between the corresponding p-brane Carroll and Galilei algebras where the index describing the directions longitudinal (transverse) to the Galilei brane is interchanged with the index covering the directions transverse (longitudinal) to the Carroll brane with the understanding that the time coordinate is always among the longitudinal directions. This leads among other things in 3D to a map between Galilei particles and Carroll strings and in 4D to a similar map between Galilei strings and Carroll strings. We show that this formal map extends to the corresponding Lie algebra expansion of the Poincar\'e algebra and, therefore, to several extensions of the Carroll and Galilei algebras including central extensions. We use this formal map to construct several new examples of Carroll gravity actions. Furthermore, we discuss the symmetry between Carroll and Galilei at the level of the p-brane sigma model action and apply this formal symmetry to give several examples of 3D and 4D particles and strings in a curved Carroll background.

7.865279

8.065522

8.471268

7.94869

8.031256

7.825612

8.554281

7.707298

7.765444

9.077888

7.807369

7.97407

8.092057

7.665205

7.755392

7.755045

7.905355

7.713184

7.705902

8.075735

7.593046

1702.04137

F. Saueressig

Alfio Bonanno and Frank Saueressig

Asymptotically safe cosmology - a status report

Invited review for the special issue "Testing quantum gravity with cosmology" to appear in Compte Rendus Physique A

null

10.1016/j.crhy.2017.02.002

null

hep-th astro-ph.CO gr-qc

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

Asymptotic Safety, based on a non-Gaussian fixed point of the gravitational renormalization group flow, provides an elegant mechanism for completing the gravitational force at sub-Planckian scales. At high energies the fixed point controls the scaling of couplings such that unphysical divergences are absent while the emergence of classical low-energy physics is linked to a crossover between two renormalization group fixed points. These features make Asymptotic Safety an attractive framework for cosmological model building. The resulting scenarios may naturally give rise to a quantum gravity driven inflationary phase in the very early universe and an almost scale-free fluctuation spectrum. Moreover, effective descriptions arising from an renormalization group improvement permit a direct comparison to cosmological observations as, e.g. Planck data.

[ { "created": "Tue, 14 Feb 2017 10:08:01 GMT", "version": "v1" } ]

2017-06-28

[ [ "Bonanno", "Alfio", "" ], [ "Saueressig", "Frank", "" ] ]

Asymptotic Safety, based on a non-Gaussian fixed point of the gravitational renormalization group flow, provides an elegant mechanism for completing the gravitational force at sub-Planckian scales. At high energies the fixed point controls the scaling of couplings such that unphysical divergences are absent while the emergence of classical low-energy physics is linked to a crossover between two renormalization group fixed points. These features make Asymptotic Safety an attractive framework for cosmological model building. The resulting scenarios may naturally give rise to a quantum gravity driven inflationary phase in the very early universe and an almost scale-free fluctuation spectrum. Moreover, effective descriptions arising from an renormalization group improvement permit a direct comparison to cosmological observations as, e.g. Planck data.

8.603045

9.100052

8.606474

8.417442

8.954879

8.630997

9.253685

8.100775

8.415187

9.681505

8.522079

8.093591

8.155448

8.158206

8.029762

8.398147

8.224482

8.219716

8.382841

8.540617

8.122115

0801.2739

David Berenstein

David Berenstein, Randel Cotta, Rodrigo Leonardi

Numerical tests of AdS/CFT at strong coupling

23 pages, 7 figures, revtex. v2: minor corrections

Phys.Rev.D78:025008,2008

10.1103/PhysRevD.78.025008

NI07082

hep-th

null

We study various correlation functions (two and three point functions) in a large $N$ matrix model of six commuting matrices with a numerical Monte Carlo algorithm. This is equivalent to a model of a gas of particles in six dimensions with a confining quadratic potential and logarithmic repulsions at finite temperature, where we are measuring the leading order non-gaussianities in the thermal fluctuations. This is a simplified model of the low energy dynamics of N=4 SYM at strong coupling. We find strong evidence that the simplified matrix model matches with the dual gravitational description of three point functions in the AdS/CFT correspondence.

[ { "created": "Thu, 17 Jan 2008 18:09:20 GMT", "version": "v1" }, { "created": "Wed, 2 Apr 2008 18:46:18 GMT", "version": "v2" } ]

2008-12-18

[ [ "Berenstein", "David", "" ], [ "Cotta", "Randel", "" ], [ "Leonardi", "Rodrigo", "" ] ]

We study various correlation functions (two and three point functions) in a large $N$ matrix model of six commuting matrices with a numerical Monte Carlo algorithm. This is equivalent to a model of a gas of particles in six dimensions with a confining quadratic potential and logarithmic repulsions at finite temperature, where we are measuring the leading order non-gaussianities in the thermal fluctuations. This is a simplified model of the low energy dynamics of N=4 SYM at strong coupling. We find strong evidence that the simplified matrix model matches with the dual gravitational description of three point functions in the AdS/CFT correspondence.

11.050739

12.300559

10.98749

10.322968

10.770578

11.004206

11.940567

10.242308

10.644669

12.211019

10.98607

9.991662

10.565451

9.905336

10.359214

10.493178

10.399513

10.4779

10.169033

11.118484

10.266584

2011.06540

Guanda Lin

Guanda Lin and Gang Yang

Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality

v2: 88 pages, 18 figures; references added

null

10.1007/JHEP04(2021)176

null

hep-th hep-ph

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

Form factors, as quantities involving both local operators and asymptotic particle states, contain information of both the spectrum of operators and the on-shell amplitudes. So far the studies of form factors have been mostly focused on the large Nc planar limit, with a few exceptions of Sudakov form factors. In this paper, we discuss the systematical construction of full color dependent form factors with generic local operators. We study the color decomposition for form factors and discuss the general strategy of using on-shell unitarity cut method. As concrete applications, we compute the full two-loop non-planar minimal form factors for both half-BPS operators and non-BPS operators in SU(2) sector in N=4 SYM. Another important aspect is to investigate the color-kinematics (CK) duality for form factors with high-length operators. Explicit CK dual representation is found for the two-loop half-BPS minimal form factors with arbitrary number of external legs. The full-color two-loop form factor results provide an independent check of the infrared dipole formula for two-loop n-point amplitudes. By extracting the UV divergence, we also reproduce the known two-loop non-planar SU(2) dilatation operator. As for the finite remainder function, interestingly, the non-planar part is found to contain a new maximally transcendental part beyond the known planar result.

[ { "created": "Thu, 12 Nov 2020 17:58:28 GMT", "version": "v1" }, { "created": "Thu, 17 Dec 2020 14:27:06 GMT", "version": "v2" } ]

2021-05-05

[ [ "Lin", "Guanda", "" ], [ "Yang", "Gang", "" ] ]

Form factors, as quantities involving both local operators and asymptotic particle states, contain information of both the spectrum of operators and the on-shell amplitudes. So far the studies of form factors have been mostly focused on the large Nc planar limit, with a few exceptions of Sudakov form factors. In this paper, we discuss the systematical construction of full color dependent form factors with generic local operators. We study the color decomposition for form factors and discuss the general strategy of using on-shell unitarity cut method. As concrete applications, we compute the full two-loop non-planar minimal form factors for both half-BPS operators and non-BPS operators in SU(2) sector in N=4 SYM. Another important aspect is to investigate the color-kinematics (CK) duality for form factors with high-length operators. Explicit CK dual representation is found for the two-loop half-BPS minimal form factors with arbitrary number of external legs. The full-color two-loop form factor results provide an independent check of the infrared dipole formula for two-loop n-point amplitudes. By extracting the UV divergence, we also reproduce the known two-loop non-planar SU(2) dilatation operator. As for the finite remainder function, interestingly, the non-planar part is found to contain a new maximally transcendental part beyond the known planar result.

9.946414

9.113839

11.129047

8.792167

9.692801

8.980536

9.44605

8.81239

9.265147

12.346542

8.804005

9.186553

10.448819

9.587863

9.295384

9.244876

9.494034

9.259141

9.382281

10.308529

9.256119

2207.10195

Alexander G. Abanov

Alexander G. Abanov and Paul B. Wiegmann

Anomalies in fluid dynamics: flows in a chiral background via variational principle

13 pages, no figures; typos corrected, references added

null

10.1088/1751-8121/ac9202

null

hep-th cond-mat.soft

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

We study flows of barotropic perfect fluid under the simultaneous action of the electromagnetic field and the axial-vector potential, the external field conjugate to the fluid helicity. We obtain the deformation of the Euler equation by the axial-vector potential and the deformations of various currents by two external fields. We show that the divergence of the vector and axial currents are controlled by the chiral anomaly known in quantum field theories with Dirac fermions. We obtain these results by extending the variational principle for barotropic flows of a perfect fluid by coupling with the external axial-vector potential.

[ { "created": "Wed, 20 Jul 2022 21:10:17 GMT", "version": "v1" }, { "created": "Fri, 4 Aug 2023 20:03:59 GMT", "version": "v2" } ]

2023-08-08

[ [ "Abanov", "Alexander G.", "" ], [ "Wiegmann", "Paul B.", "" ] ]

We study flows of barotropic perfect fluid under the simultaneous action of the electromagnetic field and the axial-vector potential, the external field conjugate to the fluid helicity. We obtain the deformation of the Euler equation by the axial-vector potential and the deformations of various currents by two external fields. We show that the divergence of the vector and axial currents are controlled by the chiral anomaly known in quantum field theories with Dirac fermions. We obtain these results by extending the variational principle for barotropic flows of a perfect fluid by coupling with the external axial-vector potential.

11.704374

13.272486

11.888895

11.201368

11.265585

11.686576

12.045821

10.585387

11.404613

12.160443

10.755618

11.155328

10.718563

11.651526

11.088598

11.383619

11.548631

11.841986

10.9257

10.781686

10.59965

hep-th/9810015

Marco Bochicchio

The large-N limit of QCD and the collective field of the Hitchin fibration

Paper as published in JHEP011999006, new references on duality added, misprint corrected, minor changes

JHEP 9901:006,1999

10.1088/1126-6708/1999/01/006

ROME 1226/98

hep-th

null

By means of a certain exact non-abelian duality transformation, we show that there is a natural embedding, dense in the sense of the distributions in the large-N limit, of parabolic Higgs bundles of rank N on a fiber two-dimensional torus into the QCD functional integral, fiberwise over the base two-dimensional torus of the trivial elliptic fibration on which the four-dimensional theory is defined. The moduli space of parabolic Higgs bundles of rank N is an integrable Hamiltonian system, that admits a foliation by the moduli of holomorphic line bundles over N-sheeted spectral covers (or, what is the same, over a space of N gauge-invariant polynomials), the Hitchin fibration. According to Hitchin, the Higgs bundles can be recovered from the spectral covers and the line bundles. If the N invariant polynomials together with the abelian connection on the line bundles are chosen as the N+1 collective fields of the Hitchin fibration, all the entropy of the functional integration over the moduli of the Higgs bundles is absorbed, in the large-N limit, into the Jacobian determinant of the change of variables to the collective fields of the Hitchin fibration. Hence, the large-N limit is dominated by the saddle-point of the effective action as in vector-like models.

[ { "created": "Fri, 2 Oct 1998 03:13:03 GMT", "version": "v1" }, { "created": "Wed, 7 Oct 1998 17:50:52 GMT", "version": "v2" }, { "created": "Thu, 8 Apr 1999 23:36:50 GMT", "version": "v3" } ]

2011-04-15

[ [ "Bochicchio", "Marco", "" ] ]

By means of a certain exact non-abelian duality transformation, we show that there is a natural embedding, dense in the sense of the distributions in the large-N limit, of parabolic Higgs bundles of rank N on a fiber two-dimensional torus into the QCD functional integral, fiberwise over the base two-dimensional torus of the trivial elliptic fibration on which the four-dimensional theory is defined. The moduli space of parabolic Higgs bundles of rank N is an integrable Hamiltonian system, that admits a foliation by the moduli of holomorphic line bundles over N-sheeted spectral covers (or, what is the same, over a space of N gauge-invariant polynomials), the Hitchin fibration. According to Hitchin, the Higgs bundles can be recovered from the spectral covers and the line bundles. If the N invariant polynomials together with the abelian connection on the line bundles are chosen as the N+1 collective fields of the Hitchin fibration, all the entropy of the functional integration over the moduli of the Higgs bundles is absorbed, in the large-N limit, into the Jacobian determinant of the change of variables to the collective fields of the Hitchin fibration. Hence, the large-N limit is dominated by the saddle-point of the effective action as in vector-like models.

9.864685

10.223768

10.556746

9.524854

9.888143

10.291351

10.045642

9.716068

9.309312

11.80602

9.388793

9.342228

9.600048

8.890833

9.343738

9.135444

9.148745

9.241319

9.011885

9.617842

9.006478

2110.15654

S. Weinzierl

Philipp Alexander Kreer, Robert Runkel and Stefan Weinzierl

Feynman integrals for binary systems of black holes

9 pages, contribution to the proceedings of the 15th International Symposium on Radiative Corrections (RADCOR) and the XIX Workshop on Radiative Corrections for the LHC and Future Colliders (LoopFest)

null

hep-th gr-qc hep-ph

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

The initial phase of the inspiral process of a binary black-hole system can be described by perturbation theory. At the third post-Minkowskian order a two-loop double box graph, known as H-graph, contributes. In this talk we report how all master integrals of the H-graph with equal masses can be expressed up to weight four in terms of multiple polylogarithms. We also discuss techniques for the unequal mass case. The essential complication (and the focus of the talk) is the occurrence of several square roots.

[ { "created": "Fri, 29 Oct 2021 09:57:34 GMT", "version": "v1" } ]

2021-11-01

[ [ "Kreer", "Philipp Alexander", "" ], [ "Runkel", "Robert", "" ], [ "Weinzierl", "Stefan", "" ] ]

The initial phase of the inspiral process of a binary black-hole system can be described by perturbation theory. At the third post-Minkowskian order a two-loop double box graph, known as H-graph, contributes. In this talk we report how all master integrals of the H-graph with equal masses can be expressed up to weight four in terms of multiple polylogarithms. We also discuss techniques for the unequal mass case. The essential complication (and the focus of the talk) is the occurrence of several square roots.

10.955814

10.565571

9.213854

8.971708

11.261949

11.28059

10.674597

10.830894

10.110824

11.825724

10.038929

10.295371

10.202719

9.752725

9.856717

10.206721

10.052945

10.296296

10.151125

10.617524

10.55435

1107.0713

Oscar Lorente-Esp\'in

Some considerations about NS5 and LST Hawking radiation

18 pages, acknowledgments included, some concepts clarified, typos corrected, journal reference included

Physics Letters B 703 (2011) 627-632

10.1016/j.physletb.2011.08.052

null

hep-th gr-qc

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

We have studied the Hawking radiation corresponding to the NS5 and Little String Theory (LST) black hole models using two semi-classical methods: the complex path method and a gravitational anomaly. After summarizing some known concepts about the thermodynamics of these theories, we have computed the emission rates for the two black hole models. The temperature calculated from, e.g. the well-known surface gravity expression, is shown to be identical to that obtained from both the computation of the gravitational anomaly and the complex path method. Moreover, the two semi-classical methods show that NS5 exhibits non-thermal behavior that contrasts with the thermal behavior of LST. We remark that energy conservation is the key factor leading to a non-thermal profile for NS5. In contrast, LST keeps a thermal profile even when energy conservation is considered because temperature in this model does not depend on energy.

[ { "created": "Mon, 4 Jul 2011 19:51:45 GMT", "version": "v1" }, { "created": "Wed, 7 Sep 2011 15:47:09 GMT", "version": "v2" } ]

2011-09-08

[ [ "Lorente-Espín", "Oscar", "" ] ]

We have studied the Hawking radiation corresponding to the NS5 and Little String Theory (LST) black hole models using two semi-classical methods: the complex path method and a gravitational anomaly. After summarizing some known concepts about the thermodynamics of these theories, we have computed the emission rates for the two black hole models. The temperature calculated from, e.g. the well-known surface gravity expression, is shown to be identical to that obtained from both the computation of the gravitational anomaly and the complex path method. Moreover, the two semi-classical methods show that NS5 exhibits non-thermal behavior that contrasts with the thermal behavior of LST. We remark that energy conservation is the key factor leading to a non-thermal profile for NS5. In contrast, LST keeps a thermal profile even when energy conservation is considered because temperature in this model does not depend on energy.

10.955877

10.110978

10.432316

9.290854

9.962327

10.238892

11.082688

9.565321

10.441699

11.419949

10.262373

10.709904

10.050259

10.193406

10.066582

10.356636

10.533535

10.003913

10.497759

10.065375

10.281782

0806.2156

Aninda Sinha

Robert C. Myers, Miguel F. Paulos, Aninda Sinha

Quantum corrections to eta/s

4 pages, RevTex, v3: typos corrected, minor rewording

Phys.Rev.D79:041901,2009

10.1103/PhysRevD.79.041901

DAMTP-2008-48

hep-th gr-qc hep-ph

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

We consider corrections to the ratio of the shear viscosity to the entropy density in strongly coupled nonabelian plasmas using the AdS/CFT correspondence. In particular, higher derivative terms with the five-form RR flux, which have been ignored in all previous calculations, are included. This provides the first reliable calculation of the leading order correction in the inverse 't Hooft coupling to the celebrated result eta/s=1/4pi. The leading correction in inverse powers of the number of colours is computed. Our results hold very generally for quiver gauge theories with an internal manifold L_pqr in the holographic dual. Our analysis implies that the thermal properties of these theories will not be affected by the five-form flux terms at this order.

[ { "created": "Thu, 12 Jun 2008 20:23:07 GMT", "version": "v1" }, { "created": "Mon, 16 Jun 2008 04:25:53 GMT", "version": "v2" }, { "created": "Wed, 18 Jun 2008 22:00:37 GMT", "version": "v3" } ]

2009-02-20

[ [ "Myers", "Robert C.", "" ], [ "Paulos", "Miguel F.", "" ], [ "Sinha", "Aninda", "" ] ]

We consider corrections to the ratio of the shear viscosity to the entropy density in strongly coupled nonabelian plasmas using the AdS/CFT correspondence. In particular, higher derivative terms with the five-form RR flux, which have been ignored in all previous calculations, are included. This provides the first reliable calculation of the leading order correction in the inverse 't Hooft coupling to the celebrated result eta/s=1/4pi. The leading correction in inverse powers of the number of colours is computed. Our results hold very generally for quiver gauge theories with an internal manifold L_pqr in the holographic dual. Our analysis implies that the thermal properties of these theories will not be affected by the five-form flux terms at this order.

9.559767

8.833619

10.218109

9.166401

9.193245

8.532526

9.320911

8.64997

8.629753

10.89112

8.305139

8.756779

8.943163

8.806345

8.836865

9.26467

9.261026

9.50398

9.173469

9.678657

8.887149

1710.00278

Di-Lun Yang

Yoshimasa Hidaka, Shi Pu, Di-Lun Yang

Nonlinear Responses of Chiral Fluids from Kinetic Theory

34 pages, a missing term of collisions in Eq.(8) and relevant parts added, results and conclusions remain unchanged

Phys. Rev. D 97, 016004 (2018)

10.1103/PhysRevD.97.016004

RIKEN-QHP-260, RIKEN-iTHEMS-Report-17

hep-th cond-mat.mes-hall cond-mat.stat-mech nucl-th

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

The second-order nonlinear responses of inviscid chiral fluids near local equilibrium are investigated by applying the chiral kinetic theory (CKT) incorporating side-jump effects. It is shown that the local equilibrium distribution function can be non-trivially introduced in a co-moving frame with respect to the fluid velocity when the quantum corrections in collisions are involved. For the study of anomalous transport, contributions from both quantum corrections in anomalous hydrodynamic equations of motion and those from the CKT and Wigner functions are considered under the relaxation-time (RT) approximation, which result in anomalous charge Hall currents propagating along the cross product of the background electric field and the temperature (or chemical-potential) gradient and of the temperature and chemical-potential gradients. On the other hand, the nonlinear quantum correction on the charge density vanishes in the classical RT approximation, which in fact satisfies the matching condition given by the anomalous equation obtained from the CKT.

[ { "created": "Sun, 1 Oct 2017 02:38:59 GMT", "version": "v1" }, { "created": "Mon, 18 Dec 2017 10:50:20 GMT", "version": "v2" }, { "created": "Tue, 29 May 2018 15:34:50 GMT", "version": "v3" } ]

2019-04-09

[ [ "Hidaka", "Yoshimasa", "" ], [ "Pu", "Shi", "" ], [ "Yang", "Di-Lun", "" ] ]

The second-order nonlinear responses of inviscid chiral fluids near local equilibrium are investigated by applying the chiral kinetic theory (CKT) incorporating side-jump effects. It is shown that the local equilibrium distribution function can be non-trivially introduced in a co-moving frame with respect to the fluid velocity when the quantum corrections in collisions are involved. For the study of anomalous transport, contributions from both quantum corrections in anomalous hydrodynamic equations of motion and those from the CKT and Wigner functions are considered under the relaxation-time (RT) approximation, which result in anomalous charge Hall currents propagating along the cross product of the background electric field and the temperature (or chemical-potential) gradient and of the temperature and chemical-potential gradients. On the other hand, the nonlinear quantum correction on the charge density vanishes in the classical RT approximation, which in fact satisfies the matching condition given by the anomalous equation obtained from the CKT.

10.955562

12.363297

11.644257

10.72601

12.624766

12.795435

12.12813

11.225793

11.697612

12.145425

10.612053

11.234605

10.650822

10.638318

11.172359

11.676498

11.211486

10.854647

11.043994

11.035466

11.105823

1907.11530

Thomas Curtright

Massive Dual Spinless Fields Revisited

Modified title, abstract, introduction

null

10.1016/j.nuclphysb.2019.114784

null

hep-th

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

Massive dual spin zero fields are reconsidered in four spacetime dimensions. A closed-form Lagrangian is presented that describes a field coupled to the gradient of its own energy-momentum tensor.

[ { "created": "Fri, 26 Jul 2019 12:41:04 GMT", "version": "v1" }, { "created": "Wed, 28 Aug 2019 02:48:23 GMT", "version": "v2" } ]

2020-01-08

[ [ "Curtright", "Thomas", "" ] ]

Massive dual spin zero fields are reconsidered in four spacetime dimensions. A closed-form Lagrangian is presented that describes a field coupled to the gradient of its own energy-momentum tensor.

21.153517

13.646462

14.934355

16.116335

16.836

14.530459

13.670668

12.881432

14.638098

18.310799

13.397827

14.580335

15.710267

15.193524

15.743514

15.978153

15.690543

15.258438

15.879072

16.22942

15.711022

hep-th/9303152

null

Boris Dubrovin

Differential geometry of the space of orbits of a Coxeter group

30 pages, plain TeX, SISSA-29/93/FM

null

hep-th

null

Differential-geometric structures on the space of orbits of a finite Coxeter group, determined by Groth\'endieck residues, are calculated. This gives a construction of a 2D topological field theory for an arbitrary Coxeter group.

[ { "created": "Sat, 27 Mar 1993 11:37:15 GMT", "version": "v1" } ]

2007-05-23

[ [ "Dubrovin", "Boris", "" ] ]

Differential-geometric structures on the space of orbits of a finite Coxeter group, determined by Groth\'endieck residues, are calculated. This gives a construction of a 2D topological field theory for an arbitrary Coxeter group.

12.056768

11.654699

13.874963

10.859735

11.86391

11.153899

11.514195

8.732382

10.881156

11.079883

10.205441

9.900319

11.671695

10.32111

10.645633

9.676746

10.548108

9.723927

10.548894

12.176756

10.150127

0904.2127

Paul M. Saffin

Neil Bevis, Edmund J. Copeland, Pierre-Yves Martin, Gustavo Niz, Alkistis Pourtsidou, Paul M. Saffin, D. A. Steer

On the stability of Cosmic String Y-junctions

16 pages, 11 figures, typos corrected

Phys.Rev.D80:125030,2009

10.1103/PhysRevD.80.125030

Imperial/TP/09/NB/01

hep-th

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

We study the evolution of non-periodic cosmic string loops containing Y-junctions, such as may form during the evolution of a network of (p,q) cosmic superstrings. We set up and solve the Nambu-Goto equations of motion for a loop with junctions, focusing attention on a specific static and planar initial loop configuration. After a given time, the junctions collide and the Nambu-Goto description breaks down. We also study the same loop configuration in a U(1)xU(1) field theory model that allows composite vortices with corresponding Y-junctions. We show that the field theory and Nambu-Goto evolution are remarkably similar until the collision time. However, in the field theory evolution a new phenomenon occurs: the composite vortices can unzip, producing in the process new Y-junctions, whose separation may grow significantly, destabilizing the configuration. In particular, an initial loop with two Y-junctions may evolve to a configuration with six Y-junctions (all distant from each other). Setting up this new configuration as an initial condition for Nambu Goto strings, we solve for its evolution and establish conditions under which it is stable to the decay mode seen in the field theory case. Remarkably, the condition closely matches that seen in the field theory simulations, and is expressed in terms of simple parameters of the Nambu-Goto system. This implies that there is an easy way to understand the instability in terms of which region of parameter space leads to stable or unstable unzippings.

[ { "created": "Tue, 14 Apr 2009 14:12:40 GMT", "version": "v1" }, { "created": "Wed, 22 Apr 2009 07:56:20 GMT", "version": "v2" } ]

2010-01-07

[ [ "Bevis", "Neil", "" ], [ "Copeland", "Edmund J.", "" ], [ "Martin", "Pierre-Yves", "" ], [ "Niz", "Gustavo", "" ], [ "Pourtsidou", "Alkistis", "" ], [ "Saffin", "Paul M.", "" ], [ "Steer", "D. A.", "" ] ]

We study the evolution of non-periodic cosmic string loops containing Y-junctions, such as may form during the evolution of a network of (p,q) cosmic superstrings. We set up and solve the Nambu-Goto equations of motion for a loop with junctions, focusing attention on a specific static and planar initial loop configuration. After a given time, the junctions collide and the Nambu-Goto description breaks down. We also study the same loop configuration in a U(1)xU(1) field theory model that allows composite vortices with corresponding Y-junctions. We show that the field theory and Nambu-Goto evolution are remarkably similar until the collision time. However, in the field theory evolution a new phenomenon occurs: the composite vortices can unzip, producing in the process new Y-junctions, whose separation may grow significantly, destabilizing the configuration. In particular, an initial loop with two Y-junctions may evolve to a configuration with six Y-junctions (all distant from each other). Setting up this new configuration as an initial condition for Nambu Goto strings, we solve for its evolution and establish conditions under which it is stable to the decay mode seen in the field theory case. Remarkably, the condition closely matches that seen in the field theory simulations, and is expressed in terms of simple parameters of the Nambu-Goto system. This implies that there is an easy way to understand the instability in terms of which region of parameter space leads to stable or unstable unzippings.

8.018695

8.5375

8.678458

8.317849

8.362452

8.533968

8.314584

8.352578

8.283731

9.344311

8.214646

7.987589

8.262126

7.924581

8.152608

7.980721

7.887942

8.222315

8.095747

8.300253

7.95641

hep-th/9905165

Beatriz De Carlos

B. de Carlos (CERN), J.M. Moreno (CSIC, Madrid)

Domain walls in supersymmetric QCD: from weak to strong coupling

4 pages, 4 figures, LaTex, uses psfig.sty

Phys.Rev.Lett. 83 (1999) 2120-2123

10.1103/PhysRevLett.83.2120

CERN-TH/99-150, IEM-FT-194/99

hep-th hep-ph

null

We consider domain walls that appear in supersymmetric QCD with Nf < Nc massive flavours. In particular, for 2 Nf < Nc we explicitly construct the domain walls that interpolate between vacua labeled by i and (i+ N_f). We show that these solutions are Bogomol'nyi-Prasad-Sommerfield (BPS) saturated for any value of the mass of the matter fields. This fact allows us to evaluate the large mass limit of these domain walls. We comment on the relevance of these solutions for supersymmetric gluodynamics.

[ { "created": "Mon, 24 May 1999 20:12:36 GMT", "version": "v1" } ]

2009-10-31

[ [ "de Carlos", "B.", "", "CERN" ], [ "Moreno", "J. M.", "", "CSIC, Madrid" ] ]

We consider domain walls that appear in supersymmetric QCD with Nf < Nc massive flavours. In particular, for 2 Nf < Nc we explicitly construct the domain walls that interpolate between vacua labeled by i and (i+ N_f). We show that these solutions are Bogomol'nyi-Prasad-Sommerfield (BPS) saturated for any value of the mass of the matter fields. This fact allows us to evaluate the large mass limit of these domain walls. We comment on the relevance of these solutions for supersymmetric gluodynamics.

6.588686

5.708839

6.907458

5.893235

6.169921

5.592397

5.864604

5.978065

5.788968

7.250474

6.01553

5.918514

6.524922

6.183982

6.005748

5.857591

6.060524

5.963236

6.063529

6.646737

5.820229

2112.11662

Mitsuhiro Nishida

Keun-Young Kim, Kyung-Sun Lee, Mitsuhiro Nishida

Construction of bulk solutions for towers of pole-skipping points

27 pages, 3 figures. v2: introduction improved

null

10.1103/PhysRevD.105.126011

null

hep-th

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

The pole-skipping phenomenon has been proposed as a connection between chaotic properties of black hole geometries and special points where regular solutions of linearized Einstein equations at horizons have extra free parameters. In this work, we pursue the special points in the near-horizon analysis of integer spin-$\ell$ fields on the Rindler-AdS black hole. We construct linear combinations of field components to simplify coupled equations of massive fields and investigate towers of the special points along with imaginary Matsubara frequencies $i\omega=2\pi(n+1-\ell)T$ with a non-negative integer $n$ and the Hawking temperature $T$. We also propose that integrals of spin-$\ell$ bulk propagators over horizons of static black holes capture behaviors at the special points, which are generalizations of integrals of graviton propagators for shock wave geometries. Their interpretation is provided in terms of four-point amplitudes with the spin-$\ell$ exchange.

[ { "created": "Wed, 22 Dec 2021 04:29:45 GMT", "version": "v1" }, { "created": "Thu, 3 Mar 2022 17:34:01 GMT", "version": "v2" } ]

2022-06-22

[ [ "Kim", "Keun-Young", "" ], [ "Lee", "Kyung-Sun", "" ], [ "Nishida", "Mitsuhiro", "" ] ]

The pole-skipping phenomenon has been proposed as a connection between chaotic properties of black hole geometries and special points where regular solutions of linearized Einstein equations at horizons have extra free parameters. In this work, we pursue the special points in the near-horizon analysis of integer spin-$\ell$ fields on the Rindler-AdS black hole. We construct linear combinations of field components to simplify coupled equations of massive fields and investigate towers of the special points along with imaginary Matsubara frequencies $i\omega=2\pi(n+1-\ell)T$ with a non-negative integer $n$ and the Hawking temperature $T$. We also propose that integrals of spin-$\ell$ bulk propagators over horizons of static black holes capture behaviors at the special points, which are generalizations of integrals of graviton propagators for shock wave geometries. Their interpretation is provided in terms of four-point amplitudes with the spin-$\ell$ exchange.

14.222504

11.749969

13.255561

10.729172

11.229139

12.135019

12.411011

11.449875

11.337766

13.940637

10.969319

11.553342

12.510356

12.11974

12.202308

11.782526

11.446875

12.1107

12.120501

12.635647

12.131871

2306.08599

Atakan Hilmi F{\i}rat

Hyperbolic string tadpole

28+11 pages, 10 figures; v2: journal version

SciPost Phys. 15, 237 (2023)

10.21468/SciPostPhys.15.6.237

MIT-CTP/5568

hep-th math.CV

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

Hyperbolic geometry on the one-bordered torus is numerically uniformized using Liouville theory. This geometry is relevant for the hyperbolic string tadpole vertex describing the one-loop quantum corrections of closed string field theory. We argue that the Lam\'e equation, upon fixing its accessory parameter via Polyakov conjecture, provides the input for the characterization. The explicit expressions for the Weil-Petersson metric as well as the local coordinates and the associated vertex region for the tadpole vertex are given in terms of classical torus conformal blocks. The relevance of this vertex for vacuum shift computations in string theory is highlighted.

[ { "created": "Wed, 14 Jun 2023 16:00:59 GMT", "version": "v1" }, { "created": "Wed, 13 Dec 2023 12:30:43 GMT", "version": "v2" } ]

2023-12-14

[ [ "Fırat", "Atakan Hilmi", "" ] ]

Hyperbolic geometry on the one-bordered torus is numerically uniformized using Liouville theory. This geometry is relevant for the hyperbolic string tadpole vertex describing the one-loop quantum corrections of closed string field theory. We argue that the Lam\'e equation, upon fixing its accessory parameter via Polyakov conjecture, provides the input for the characterization. The explicit expressions for the Weil-Petersson metric as well as the local coordinates and the associated vertex region for the tadpole vertex are given in terms of classical torus conformal blocks. The relevance of this vertex for vacuum shift computations in string theory is highlighted.

24.382864

19.937256

29.432335

22.72715

22.701084

23.966738

23.122688

22.043564

23.877069

27.177916

20.654779

23.088633

22.439838

22.254362

21.965206

21.731749

22.294044

21.758732

22.167711

23.269442

21.862928

hep-th/0006068

Ira Wasserman

S.-H. Henry Tye and Ira Wasserman

A Brane World Solution to the Cosmological Constant Problem

10 pages

Phys.Rev.Lett. 86 (2001) 1682-1685

10.1103/PhysRevLett.86.1682

null

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

null

We consider a model with two parallel (positive tension) 3-branes separated by a distance $L$ in 5-dimensional spacetime. If the interbrane space is anti-deSitter, or is not precisely anti-deSitter but contains no event horizons, the effective 4-dimensional cosmological constant seen by observers on one of the branes (chosen to be the visible brane) becomes exponentially small as $L$ grows large.

[ { "created": "Fri, 9 Jun 2000 19:26:29 GMT", "version": "v1" } ]

2009-10-31

[ [ "Tye", "S. -H. Henry", "" ], [ "Wasserman", "Ira", "" ] ]

We consider a model with two parallel (positive tension) 3-branes separated by a distance $L$ in 5-dimensional spacetime. If the interbrane space is anti-deSitter, or is not precisely anti-deSitter but contains no event horizons, the effective 4-dimensional cosmological constant seen by observers on one of the branes (chosen to be the visible brane) becomes exponentially small as $L$ grows large.

7.33046

6.188575

6.496273

5.7665

5.66446

6.189824

6.180625

6.385758

6.086702

6.787775

5.932237

6.389977

6.272658

6.244576

6.136567

6.182142

6.444456

6.212123

6.175664

6.448952

6.324024

hep-th/0310078

Sang-Jin Sin

Matthias Klein (SLAC), Sang-Jin Sin (Hanyang Univ.)

Matrix model, Kutasov duality and Factorization of Seiberg-Witten Curves

18 pages, latex, no figure; 2nd v. Simplified

J.Korean Phys.Soc.44:1368-1376,2004

null

SLAC-PUB-10180

hep-th

null

We study the duality of $\mathcal{N}=1$ gauge theories in the presence of a massless adjoint field and massive quarks by calculating the superpotential using the Dighkgraaf-Vafa matrix model and by comparing with the previous result coming from Kutasov duality. The Kutasov duality method gives a result in which one instanton term is absent. The matrix model method confirms it and also show that the absence of the one instanton term is related to the masslessness of the adjoint field.

[ { "created": "Wed, 8 Oct 2003 15:53:17 GMT", "version": "v1" }, { "created": "Sat, 28 Feb 2004 08:22:09 GMT", "version": "v2" } ]

2017-09-07

[ [ "Klein", "Matthias", "", "SLAC" ], [ "Sin", "Sang-Jin", "", "Hanyang Univ." ] ]

We study the duality of $\mathcal{N}=1$ gauge theories in the presence of a massless adjoint field and massive quarks by calculating the superpotential using the Dighkgraaf-Vafa matrix model and by comparing with the previous result coming from Kutasov duality. The Kutasov duality method gives a result in which one instanton term is absent. The matrix model method confirms it and also show that the absence of the one instanton term is related to the masslessness of the adjoint field.

9.722784

9.317997

10.819141

8.655802

9.572292

10.760489

9.381107

9.194207

9.230542

12.163388

8.871676

8.808107

9.488971

9.145226

9.334644

9.052634

9.249962

8.553457

9.086181

9.306738

8.559894

2310.07993

Kiyoharu Kawana

Yoshimasa Hidaka and Kiyoharu Kawana

Effective Brane Field Theory with Higher-form Symmetry

39 pages, 4 figures

null

KEK-TH-2557, RIKEN-iTHEMS-Report-23

hep-th cond-mat.stat-mech cond-mat.supr-con

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

We propose an effective field theory for branes with higher-form symmetry as a generalization of ordinary Landau theory, which is an extension of the previous work by Iqbal and McGreevy for one-dimensional objects to an effective theory for $p$-dimensional objects. In the case of a $p$-form symmetry, the fundamental field $\psi[C_p^{}]$ is a functional of $p$-dimensional closed brane $C_p^{}$ embedded in a spacetime. As a natural generalization of ordinary field theory, we call this theory the brane field theory. In order to construct an action that is invariant under higher-form transformation, we generalize the idea of area derivative for one-dimensional objects to higher-dimensional ones. Following this, we discuss various fundamental properties of the brane field based on the higher-form invariant action. It is shown that the classical solution exhibits the area law in the unbroken phase of $\mathrm{U}(1)$ $p$-form symmetry, while it indicates a constant behavior in the broken phase for the large volume limit of $C_p^{}$. In the latter case, the low-energy effective theory is described by the $p$-form Maxwell theory. We also discuss brane-field theories with a discrete higher-form symmetry and show that the low-energy effective theory becomes a BF-type topological field theory, resulting in topological order. Finally, we present a concrete brane-field model that describes a superconductor from the point of view of higher-form symmetry.

[ { "created": "Thu, 12 Oct 2023 02:45:02 GMT", "version": "v1" } ]

2023-10-13

[ [ "Hidaka", "Yoshimasa", "" ], [ "Kawana", "Kiyoharu", "" ] ]

We propose an effective field theory for branes with higher-form symmetry as a generalization of ordinary Landau theory, which is an extension of the previous work by Iqbal and McGreevy for one-dimensional objects to an effective theory for $p$-dimensional objects. In the case of a $p$-form symmetry, the fundamental field $\psi[C_p^{}]$ is a functional of $p$-dimensional closed brane $C_p^{}$ embedded in a spacetime. As a natural generalization of ordinary field theory, we call this theory the brane field theory. In order to construct an action that is invariant under higher-form transformation, we generalize the idea of area derivative for one-dimensional objects to higher-dimensional ones. Following this, we discuss various fundamental properties of the brane field based on the higher-form invariant action. It is shown that the classical solution exhibits the area law in the unbroken phase of $\mathrm{U}(1)$ $p$-form symmetry, while it indicates a constant behavior in the broken phase for the large volume limit of $C_p^{}$. In the latter case, the low-energy effective theory is described by the $p$-form Maxwell theory. We also discuss brane-field theories with a discrete higher-form symmetry and show that the low-energy effective theory becomes a BF-type topological field theory, resulting in topological order. Finally, we present a concrete brane-field model that describes a superconductor from the point of view of higher-form symmetry.

6.993437

6.617844

7.050829

6.909507

6.948774

7.469411

6.853734

6.80966

6.915513

7.606351

6.903912

6.765694

7.048487

6.750161

6.826633

6.901772

6.700443

6.796607

6.909157

7.002962

6.883818

1806.02470

Sergei Gukov

Boris Feigin, Sergei Gukov

VOA[M4]

40 pp, a new figure, many improvements and references added

null

hep-th math.QA

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

We take a peek at a general program that associates vertex (or, chiral) algebras to smooth 4-manifolds in such a way that operations on algebras mirror gluing operations on 4-manifolds and, furthermore, equivalent constructions of 4-manifolds give rise to equivalences (dualities) of the corresponding algebras.

[ { "created": "Thu, 7 Jun 2018 00:43:53 GMT", "version": "v1" }, { "created": "Mon, 3 Feb 2020 06:57:37 GMT", "version": "v2" } ]

2020-02-04

[ [ "Feigin", "Boris", "" ], [ "Gukov", "Sergei", "" ] ]

We take a peek at a general program that associates vertex (or, chiral) algebras to smooth 4-manifolds in such a way that operations on algebras mirror gluing operations on 4-manifolds and, furthermore, equivalent constructions of 4-manifolds give rise to equivalences (dualities) of the corresponding algebras.

11.769792

9.31653

10.566401

9.569634

9.696035

10.015246

9.212626

8.594989

9.010624

10.568798

9.146523

9.033429

10.243284

9.498374

9.503089

9.087121

9.143179

9.019518

9.309758

10.225966

9.303376

hep-th/9511027

Yasuhito Kaminaga

Yasuhito Kaminaga (Toho University, Japan)

Quantum mechanics of higher derivative systems and total derivative terms

14 pages, REVTeX, no figures

J.Phys.A29:5049-5058,1996

10.1088/0305-4470/29/16/025

null

hep-th quant-ph

null

A general theory is presented of quantum mechanics of singular, non-autonomous, higher derivative systems. Within that general theory, $n$-th order and $m$-th order Lagrangians are shown to be quantum mechanically equivalent if their difference is a total derivative.

[ { "created": "Sat, 4 Nov 1995 10:52:34 GMT", "version": "v1" } ]

2016-09-06

[ [ "Kaminaga", "Yasuhito", "", "Toho University, Japan" ] ]

A general theory is presented of quantum mechanics of singular, non-autonomous, higher derivative systems. Within that general theory, $n$-th order and $m$-th order Lagrangians are shown to be quantum mechanically equivalent if their difference is a total derivative.

10.954088

9.390808

10.133294

9.70493

8.970645

9.54216

9.303434

8.937659

8.671978

10.316775

8.657959

8.782463

9.971852

8.942569

9.009868

8.370578

9.153208

8.686932

9.114969

9.974353

8.965689

hep-th/0012092

Richard Szabo

J. Ambjorn, Y.M. Makeenko, G.W. Semenoff and R.J. Szabo

String Theory in Electromagnetic Fields

32 pages RevTeX; V2: Acknowledgments and references added; V3: Typos corrected and references updated

JHEP 0302 (2003) 026

10.1088/1126-6708/2003/02/026

ITEP-TH-78/00, HWM00-27

hep-th gr-qc

null

A review of various aspects of superstrings in background electromagnetic fields is presented. Topics covered include the Born-Infeld action, spectrum of open strings in background gauge fields, the Schwinger mechanism, finite-temperature formalism and Hagedorn behaviour in external fields, Debye screening, D-brane scattering, thermodynamics of D-branes, and noncommutative field and string theories on D-branes. The electric field instabilities are emphasized throughout and contrasted with the case of magnetic fields. A new derivation of the velocity-dependent potential between moving D-branes is presented, as is a new result for the velocity corrections to the one-loop thermal effective potential.

[ { "created": "Mon, 11 Dec 2000 16:17:30 GMT", "version": "v1" }, { "created": "Mon, 29 Jan 2001 11:05:34 GMT", "version": "v2" }, { "created": "Tue, 12 Nov 2002 20:43:54 GMT", "version": "v3" } ]

2009-10-31

[ [ "Ambjorn", "J.", "" ], [ "Makeenko", "Y. M.", "" ], [ "Semenoff", "G. W.", "" ], [ "Szabo", "R. J.", "" ] ]

A review of various aspects of superstrings in background electromagnetic fields is presented. Topics covered include the Born-Infeld action, spectrum of open strings in background gauge fields, the Schwinger mechanism, finite-temperature formalism and Hagedorn behaviour in external fields, Debye screening, D-brane scattering, thermodynamics of D-branes, and noncommutative field and string theories on D-branes. The electric field instabilities are emphasized throughout and contrasted with the case of magnetic fields. A new derivation of the velocity-dependent potential between moving D-branes is presented, as is a new result for the velocity corrections to the one-loop thermal effective potential.

9.396072

8.293266

9.450587

8.013261

8.149516

8.247926

8.091359

7.658327

7.977828

10.325385

8.266438

8.325476

8.73993

8.615708

8.393752

8.269035

8.366749

8.218735

8.484123

9.341007

8.557188

1108.3077

Kyriakos Papadodimas

Kyriakos Papadodimas and Suvrat Raju

Correlation Functions in Holographic Minimal Models

21+23 pages

Nucl. Phys. B, Vol. 856, Issue 2 (2012), pp. 607-646

10.1016/j.nuclphysb.2011.11.006

HRI/ST/1108

hep-th

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

We compute exact three and four point functions in the W_N minimal models that were recently conjectured to be dual to a higher spin theory in AdS_3. The boundary theory has a large number of light operators that are not only invisible in the bulk but grow exponentially with N even at small conformal dimensions. Nevertheless, we provide evidence that this theory can be understood in a 1/N expansion since our correlators look like free-field correlators corrected by a power series in 1/N . However, on examining these corrections we find that the four point function of the two bulk scalar fields is corrected at leading order in 1/N through the contribution of one of the additional light operators in an OPE channel. This suggests that, to correctly reproduce even tree-level correlators on the boundary, the bulk theory needs to be modified by the inclusion of additional fields. As a technical by-product of our analysis, we describe two separate methods -- including a Coulomb gas type free-field formalism -- that may be used to compute correlation functions in this theory.

[ { "created": "Mon, 15 Aug 2011 20:00:01 GMT", "version": "v1" } ]

2011-12-13

[ [ "Papadodimas", "Kyriakos", "" ], [ "Raju", "Suvrat", "" ] ]

We compute exact three and four point functions in the W_N minimal models that were recently conjectured to be dual to a higher spin theory in AdS_3. The boundary theory has a large number of light operators that are not only invisible in the bulk but grow exponentially with N even at small conformal dimensions. Nevertheless, we provide evidence that this theory can be understood in a 1/N expansion since our correlators look like free-field correlators corrected by a power series in 1/N . However, on examining these corrections we find that the four point function of the two bulk scalar fields is corrected at leading order in 1/N through the contribution of one of the additional light operators in an OPE channel. This suggests that, to correctly reproduce even tree-level correlators on the boundary, the bulk theory needs to be modified by the inclusion of additional fields. As a technical by-product of our analysis, we describe two separate methods -- including a Coulomb gas type free-field formalism -- that may be used to compute correlation functions in this theory.

8.636707

8.64897

10.478082

8.357814

9.108751

8.948158

8.790049

8.742621

8.771645

10.854153

8.616267

8.757458

9.644667

9.002267

8.74662

8.516825

8.580709

8.659891

8.888766

9.412989

8.586077

1212.2265

Alfredo Suzuki T

Chueng-Ryong Ji and Alfredo Takashi Suzuki

Interpolating Scattering Amplitudes between Instant Form and Front Form of Relativistic Dynamics

34 pages, 5 figures

null

10.1103/PhysRevD.87.065015

null

hep-th

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

Among the three forms of relativistic Hamiltonian dynamics proposed by Dirac in 1949, the instant form and the front form can be interpolated by introducing an interpolation angle between the ordinary time $t$ and the light-front time $(t+z/c)/\sqrt{2}$. Using this method, we introduce the interpolating scattering amplitude that links the corresponding time-ordered amplitudes between the two forms of dynamics and provide the physical meaning of the kinematic transformations as they allow the invariance of each individual time-ordered amplitude for an arbitrary interpolation angle. In particular, it exhibits that the longitudinal boost is kinematical only in the front form dynamics, or the light-front dynamics (LFD), but not in any other interpolation angle dynamics. It also shows that the disappearance of the connected contributions to the current arising from the vacuum occurs when the interpolation angle is taken to yield the LFD. Since it doesn't require the infinite momentum frame (IMF) to show this disappearance and the proof is independent of reference frames, it resolves the confusion between the LFD and the IMF. The well-known utility of IMF usually discussed in the instant form dynamics is now also extended to any other interpolation angle dynamics using our interpolating scattering amplitudes.

[ { "created": "Tue, 11 Dec 2012 01:05:27 GMT", "version": "v1" } ]

2015-06-12

[ [ "Ji", "Chueng-Ryong", "" ], [ "Suzuki", "Alfredo Takashi", "" ] ]

Among the three forms of relativistic Hamiltonian dynamics proposed by Dirac in 1949, the instant form and the front form can be interpolated by introducing an interpolation angle between the ordinary time $t$ and the light-front time $(t+z/c)/\sqrt{2}$. Using this method, we introduce the interpolating scattering amplitude that links the corresponding time-ordered amplitudes between the two forms of dynamics and provide the physical meaning of the kinematic transformations as they allow the invariance of each individual time-ordered amplitude for an arbitrary interpolation angle. In particular, it exhibits that the longitudinal boost is kinematical only in the front form dynamics, or the light-front dynamics (LFD), but not in any other interpolation angle dynamics. It also shows that the disappearance of the connected contributions to the current arising from the vacuum occurs when the interpolation angle is taken to yield the LFD. Since it doesn't require the infinite momentum frame (IMF) to show this disappearance and the proof is independent of reference frames, it resolves the confusion between the LFD and the IMF. The well-known utility of IMF usually discussed in the instant form dynamics is now also extended to any other interpolation angle dynamics using our interpolating scattering amplitudes.

10.476269

11.741094

11.614401

10.254515

12.090963

11.320025

11.516916

11.24382

10.484149

12.078805

10.188662

10.333092

10.47702

10.252543

10.462949

10.506913

10.384315

10.010159

10.401519

10.447304

10.40293

1701.00368

Prasanta K. Tripathy

New Branches of Non-supersymmetric Attractors in N=2 Supergravity

11 pages, latex

null

10.1016/j.physletb.2017.04.068

null

hep-th

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

In this paper we analyse non-supersymmetric single centred extremal black hole solutions in N=2 supergravity theory coupled to $n$ vector multiplets with purely cubic pre-potential in four dimensions. We consider the algebraic attractor equations in their most general form at the black hole horizon. We explicitly construct a new class of solutions for these attractor equations. These solutions are characterised by a set of involutory matrices. These involutions are obtained from a constraint involving the parameters in the pre-potential and generate new attractor points in the moduli space.

[ { "created": "Mon, 2 Jan 2017 11:50:39 GMT", "version": "v1" } ]

2017-05-03

[ [ "Tripathy", "Prasanta K.", "" ] ]

In this paper we analyse non-supersymmetric single centred extremal black hole solutions in N=2 supergravity theory coupled to $n$ vector multiplets with purely cubic pre-potential in four dimensions. We consider the algebraic attractor equations in their most general form at the black hole horizon. We explicitly construct a new class of solutions for these attractor equations. These solutions are characterised by a set of involutory matrices. These involutions are obtained from a constraint involving the parameters in the pre-potential and generate new attractor points in the moduli space.

8.200583

7.475454

10.425532

7.317904

7.437751

6.640429

7.005328

7.139542

7.057378

9.963774

7.217472

7.336909

8.307576

7.567892

7.632169

7.311602

7.57709

7.447022

7.491049

8.568592

7.265368

1103.3156

Rhys Davies

The Expanding Zoo of Calabi-Yau Threefolds

24 pages, PDFLaTeX. To be published in the special issue "Computational Algebraic Geometry in String and Gauge Theory" of Advances in High Energy Physics. v2: Added reference, and data for four new manifolds constructed therein

Adv.High Energy Phys.2011:901898

10.1155/2011/901898

null

hep-th math.AG

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

This is a short review of recent constructions of new Calabi-Yau threefolds with small Hodge numbers and/or non-trivial fundamental group, which are of particular interest for model-building in the context of heterotic string theory. The two main tools are topological transitions and taking quotients by actions of discrete groups. Both of these techniques can produce new manifolds from existing ones, and they have been used to bring many new specimens to the previously sparse corner of the Calabi-Yau zoo where both Hodge numbers are small. Two new manifolds are also obtained here from hyperconifold transitions, including the first example with fundamental group S3, the smallest non-Abelian group.

[ { "created": "Wed, 16 Mar 2011 12:23:33 GMT", "version": "v1" }, { "created": "Mon, 18 Apr 2011 09:58:28 GMT", "version": "v2" } ]

2011-09-08

[ [ "Davies", "Rhys", "" ] ]

This is a short review of recent constructions of new Calabi-Yau threefolds with small Hodge numbers and/or non-trivial fundamental group, which are of particular interest for model-building in the context of heterotic string theory. The two main tools are topological transitions and taking quotients by actions of discrete groups. Both of these techniques can produce new manifolds from existing ones, and they have been used to bring many new specimens to the previously sparse corner of the Calabi-Yau zoo where both Hodge numbers are small. Two new manifolds are also obtained here from hyperconifold transitions, including the first example with fundamental group S3, the smallest non-Abelian group.

8.150559

8.545973

9.260671

7.859039

9.466242

8.35582

8.681562

8.026713

8.188482

9.703116

8.021731

7.686518

7.650437

7.631381

7.472826

7.629239

7.754552

7.984044

7.951032

7.803761

7.710053

1301.3664

Dan Radu Grigore

Dan-Radu Grigore

Super-Renormalizablity of Yang-Mills Models in the Third Order of Perturbation Theory

37 pages. arXiv admin note: substantial text overlap with arXiv:1301.2893, arXiv:0711.3986, arXiv:0805.3438

null

hep-th math-ph math.MP

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

We continue the investigation from a previous paper concerning the super-renormalizablity of gauge models going to the third order of the perturbation theory. Here we consider only the Yang-Mills case and we prove that this property is true iff some supplementary restrictions are imposed on the constants appearing in the interaction Lagrangian. The usual standard model does not verify these restrictions, but there is hope that such models do exist and they are in agreement with the phenomenology. We consider here only the even-parity contributions.

[ { "created": "Wed, 16 Jan 2013 11:47:55 GMT", "version": "v1" } ]

2013-01-17

[ [ "Grigore", "Dan-Radu", "" ] ]

We continue the investigation from a previous paper concerning the super-renormalizablity of gauge models going to the third order of the perturbation theory. Here we consider only the Yang-Mills case and we prove that this property is true iff some supplementary restrictions are imposed on the constants appearing in the interaction Lagrangian. The usual standard model does not verify these restrictions, but there is hope that such models do exist and they are in agreement with the phenomenology. We consider here only the even-parity contributions.

13.318852

12.175406

12.381375

11.130648

12.360591

13.611239

12.07383

11.461909

11.233493

13.345336

12.344102

11.652277

12.833332

12.124258

12.125776

12.187651

11.924903

11.721535

12.071457

12.405135

12.297214

hep-th/9304142

null

Dan Radu Grigore

The Projective Unitary Irreducible Representations of the Poincar\'e Group in 1+2 Dimensions

22 pages, PLAIN-TEX

J.Math.Phys. 34 (1993) 4172-4189

10.1063/1.529994

null

hep-th

null

We give a complete analysis of the projective unitary irreducible representations of the Poincar\'e group in 1+2 dimensions applying Mackey theorem and using an explicit formula for the universal covering group of the Lorentz group in 1+2 dimensions. We provide explicit formulae for all representations.

[ { "created": "Wed, 28 Apr 1993 06:30:00 GMT", "version": "v1" } ]

2015-06-26

[ [ "Grigore", "Dan Radu", "" ] ]

We give a complete analysis of the projective unitary irreducible representations of the Poincar\'e group in 1+2 dimensions applying Mackey theorem and using an explicit formula for the universal covering group of the Lorentz group in 1+2 dimensions. We provide explicit formulae for all representations.

7.148074

6.484626

5.730641

6.072924

6.630073

6.158214

5.777766

5.969118

6.246455

6.558269

6.223937

5.900283

6.144668

5.921914

5.895855

6.019192

6.048426

6.203159

6.110612

6.293297

6.015709

hep-th/0404143

Corneliu \c{S}ochichiu

S. Bellucci, C Sochichiu

On the dynamics of BMN operators of finite size and the model of string bits

10 pages, Contribution to BW2003 Workshop, 29 August - 02 September, 2003 Vrnjacka Banja, Serbia

null

10.1142/9789812702166_0014

null

hep-th

null

We consider the discretization effects of a string-bit model simulating the near-BMN operators in the super--Yang--Mills model. The fermionic sector of this model is altered by the so called species doubling. We analyze the possibilities to cure this disease and propose an alternative formulation of the fermionic sector free from the above drawbacks. Also we propose a formulation of string bits with exact supersymmetry, which produces however an even number of continuous strings in the limit $J\to\infty$.

[ { "created": "Tue, 20 Apr 2004 10:04:45 GMT", "version": "v1" } ]

2017-08-23

[ [ "Bellucci", "S.", "" ], [ "Sochichiu", "C", "" ] ]

We consider the discretization effects of a string-bit model simulating the near-BMN operators in the super--Yang--Mills model. The fermionic sector of this model is altered by the so called species doubling. We analyze the possibilities to cure this disease and propose an alternative formulation of the fermionic sector free from the above drawbacks. Also we propose a formulation of string bits with exact supersymmetry, which produces however an even number of continuous strings in the limit $J\to\infty$.

20.79595

18.076771

22.824959

18.198992

21.056238

18.591797

19.944511

19.496433

17.755913

25.193285

18.178625

17.942406

19.351694

18.337509

17.730873

17.624935

17.073702

18.719597

18.536694

18.487556

18.315203

1908.00015

Milind Shyani

Lorentzian inversion and anomalous dimensions in Mellin space

26 pages, 2 appendices

null

hep-th

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

In this note, we derive a Mellin space version of the Lorentzian inversion formula for CFTs by explicitly integrating over the cross-ratios in $d=2$ and $d=4$ spacetime dimensions. We use the simplicity of the Mellin representation of Witten diagrams and the double discontinuity to find the OPE coefficients and anomalous dimensions of double-trace primaries in large $N$ CFTs to order $\frac{1}{N^4}$. We find that our results match analytically at order $\frac{1}{N^2}$, and numerically at order $\frac{1}{N^4}$ with existing literature.

[ { "created": "Wed, 31 Jul 2019 18:00:02 GMT", "version": "v1" } ]

2019-08-02

[ [ "Shyani", "Milind", "" ] ]

In this note, we derive a Mellin space version of the Lorentzian inversion formula for CFTs by explicitly integrating over the cross-ratios in $d=2$ and $d=4$ spacetime dimensions. We use the simplicity of the Mellin representation of Witten diagrams and the double discontinuity to find the OPE coefficients and anomalous dimensions of double-trace primaries in large $N$ CFTs to order $\frac{1}{N^4}$. We find that our results match analytically at order $\frac{1}{N^2}$, and numerically at order $\frac{1}{N^4}$ with existing literature.

5.54767

4.809195

5.721794

4.681331

4.793619

4.613442

4.82469

4.832899

4.94876

6.390411

4.538625

4.673617

4.997762

4.684875

4.606895

4.507374

4.688252

4.579494

4.702657

5.180416

4.642272

hep-th/0610257

Pallab Basu

Pallab Basu, Bobby Ezhuthachan, Spenta R. Wadia

Plasma balls/kinks as solitons of large $N$ confining gauge theories

26+1 pages, 10 figures

JHEP 0701:003,2007

10.1088/1126-6708/2007/01/003

TIFR/TH/06-35

hep-th

null

We discuss finite regions of the deconfining phase of a confining gauge theory (plasma balls/kinks) as solitons of the large $N$, long wavelength, effective Lagrangian of the thermal gauge theory expressed in terms of suitable order parameters. We consider a class of confining gauge theories whose effective Lagrangian turns out to be a generic 1 dim. unitary matrix model. The dynamics of this matrix model can be studied by an exact mapping to a non-relativistic many fermion problem on a circle. We present an approximate solution to the equations of motion which corresponds to the motion (in Euclidean time) of the Fermi surface interpolating between the phase where the fermions are uniformly distributed on the circle (confinement phase) and the phase where the fermion distribution has a gap on the circle (deconfinement phase). We later self-consistently verify that the approximation is a good one. We discuss some properties and implications of the solution including the surface tension which turns out to be positive. As a by product of our investigation we point out the problem of obtaining time dependent solutions in the collective field theory formalism due to generic shock formation.

[ { "created": "Tue, 24 Oct 2006 19:22:02 GMT", "version": "v1" } ]

2010-02-03

[ [ "Basu", "Pallab", "" ], [ "Ezhuthachan", "Bobby", "" ], [ "Wadia", "Spenta R.", "" ] ]

We discuss finite regions of the deconfining phase of a confining gauge theory (plasma balls/kinks) as solitons of the large $N$, long wavelength, effective Lagrangian of the thermal gauge theory expressed in terms of suitable order parameters. We consider a class of confining gauge theories whose effective Lagrangian turns out to be a generic 1 dim. unitary matrix model. The dynamics of this matrix model can be studied by an exact mapping to a non-relativistic many fermion problem on a circle. We present an approximate solution to the equations of motion which corresponds to the motion (in Euclidean time) of the Fermi surface interpolating between the phase where the fermions are uniformly distributed on the circle (confinement phase) and the phase where the fermion distribution has a gap on the circle (deconfinement phase). We later self-consistently verify that the approximation is a good one. We discuss some properties and implications of the solution including the surface tension which turns out to be positive. As a by product of our investigation we point out the problem of obtaining time dependent solutions in the collective field theory formalism due to generic shock formation.

9.677617

9.841534

9.764653

9.299298

9.448404

9.852807

9.769205

8.845506

9.204994

10.367461

9.336425

9.239814

9.504499

9.345453

9.351806

9.267184

9.341843

9.348698

9.304049

9.454066

9.150116

1911.01236

Yotam Sherf

Quantum State of Black-Holes Out of Equilibrium

null

hep-th gr-qc

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

We study the properties of black-holes (BHs) that are out of equilibrium about the Hartle-Hawking (HH) vacuum state. We show how gravitational perturbations excite the vacuum state, thus making it a superposition of states, which eventually leads to additional excitations. We examine the vacuum state structure in the presence of time-dependent gravitational perturbation. As a result, we determine the vacuum state evolution and calculate the semi-classical modifications to the particle occupation number of the emitted particles. We demonstrate that the quantum emission in BHs that are far away from equilibrium is comparable and even larger than the Hawking radiation.

[ { "created": "Mon, 4 Nov 2019 14:21:11 GMT", "version": "v1" }, { "created": "Wed, 8 Jan 2020 22:15:41 GMT", "version": "v2" } ]

2020-01-10

[ [ "Sherf", "Yotam", "" ] ]

We study the properties of black-holes (BHs) that are out of equilibrium about the Hartle-Hawking (HH) vacuum state. We show how gravitational perturbations excite the vacuum state, thus making it a superposition of states, which eventually leads to additional excitations. We examine the vacuum state structure in the presence of time-dependent gravitational perturbation. As a result, we determine the vacuum state evolution and calculate the semi-classical modifications to the particle occupation number of the emitted particles. We demonstrate that the quantum emission in BHs that are far away from equilibrium is comparable and even larger than the Hawking radiation.

10.971033

11.166999

11.84579

10.776068

10.843002

11.341912

11.942329

11.239323

10.581325

12.050814

10.63563

10.744435

10.662858

10.425346

10.626277

10.684633

10.496485

10.294033

10.38637

10.325809

10.879045

1205.4236

James Stokes

Burt A. Ovrut, James Stokes

Heterotic Kink Solitons and their Worldvolume Action

37 pages, 4 figures

null

10.1007/JHEP09(2012)065

null

hep-th

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

We present a formalism for computing the higher-order corrections to the worldvolume action of a co-dimension one kink soliton embedded in five-dimensional heterotic M-theory. The geometry of heterotic M-theory, as well as the effective theory which describes a five-brane wrapping a holomorphic curve by a topological kink in a scalar field, is reviewed. Using this formalism, the explicit worldvolume action is computed to second order in two expansion parameters--one describing the "warp" of the heterotic geometry and the second the fluctuation length of the soliton hypersurface. The result is expressed in terms of the trace of the extrinsic curvature and the intrinsic curvature scalar.

[ { "created": "Fri, 18 May 2012 20:00:00 GMT", "version": "v1" } ]

2015-06-05

[ [ "Ovrut", "Burt A.", "" ], [ "Stokes", "James", "" ] ]

We present a formalism for computing the higher-order corrections to the worldvolume action of a co-dimension one kink soliton embedded in five-dimensional heterotic M-theory. The geometry of heterotic M-theory, as well as the effective theory which describes a five-brane wrapping a holomorphic curve by a topological kink in a scalar field, is reviewed. Using this formalism, the explicit worldvolume action is computed to second order in two expansion parameters--one describing the "warp" of the heterotic geometry and the second the fluctuation length of the soliton hypersurface. The result is expressed in terms of the trace of the extrinsic curvature and the intrinsic curvature scalar.

9.572748

8.76878

10.374763

8.920609

9.494407

8.404158

8.398307

8.654675

8.589644

10.654494

8.73997

8.909345

9.670437

9.004682

8.511137

8.771666

8.825088

8.702516

8.996358

9.530337

8.825213

0705.3393

Alvaro de Souza Dutra

Alvaro de Souza Dutra and A. C. Amaro de Faria Jr. (UNESP/Campus de Guaratingueta-DFQ)

Vacuumless kinks systems from vacuum ones, an example

11 pages, 4 figures

Phys.Rev.D72:087701,2005

10.1103/PhysRevD.72.087701

null

hep-th

null

Some years ago, Cho and Vilenkin, introduced a model which presents topological solutions, despite not having degenerate vacua as is usually expected. Here we present a new model with topological defects, connecting degenerate vacua but which in a certain limit recovers precisely the one proposed originally by Cho and Vilenkin. In other words, we found a kind of parent model for the so called vacuumless model. Then the idea is extended to a model recently introduced by Bazeia et al. Finally, we trace some comments the case of the Liouville model.

[ { "created": "Wed, 23 May 2007 14:39:34 GMT", "version": "v1" } ]

2008-11-26

[ [ "Dutra", "Alvaro de Souza", "", "UNESP/Campus de\n Guaratingueta-DFQ" ], [ "Faria", "A. C. Amaro de", "Jr.", "UNESP/Campus de\n Guaratingueta-DFQ" ] ]

Some years ago, Cho and Vilenkin, introduced a model which presents topological solutions, despite not having degenerate vacua as is usually expected. Here we present a new model with topological defects, connecting degenerate vacua but which in a certain limit recovers precisely the one proposed originally by Cho and Vilenkin. In other words, we found a kind of parent model for the so called vacuumless model. Then the idea is extended to a model recently introduced by Bazeia et al. Finally, we trace some comments the case of the Liouville model.

17.311472

15.85415

15.963394

14.214189

14.810559

14.429421

15.263579

13.517035

15.391457

14.693089

14.611317

14.196661

14.063027

13.606808

14.029352

13.699556

13.655804

13.933114

13.872746

14.2461

14.058717

hep-th/9307073

Cobi Sonnenschein

Y.Lavi and J.Sonnenschein

Do we need the $W^{(n>3)}$ constraints to solve the $(1,q)$ models coupled to 2D gravity?

26 pages

Nucl.Phys. B414 (1994) 329-347

10.1016/0550-3213(94)90433-2

null

hep-th

null

We prove that all the correlation functions in the $(1,q)$ models are calculable using only the Virasoro and the $W^{(3)}$ constraints. This result is based on the invariance of correlators with respect to an interchange of the order of the operators they contain. In terms of the topological recursion relations, it means that only two and three contacts and the corresponding degenerations of the underlying surfaces are relevant. An algorithm to compute correlators for any $q$ and at any genus is presented and demonstrated through some examples. On route to these results, some interesting polynomial identities, which are generalizations of Abel's identity, were discovered. }

[ { "created": "Fri, 9 Jul 1993 21:21:04 GMT", "version": "v1" } ]

2009-10-22

[ [ "Lavi", "Y.", "" ], [ "Sonnenschein", "J.", "" ] ]

We prove that all the correlation functions in the $(1,q)$ models are calculable using only the Virasoro and the $W^{(3)}$ constraints. This result is based on the invariance of correlators with respect to an interchange of the order of the operators they contain. In terms of the topological recursion relations, it means that only two and three contacts and the corresponding degenerations of the underlying surfaces are relevant. An algorithm to compute correlators for any $q$ and at any genus is presented and demonstrated through some examples. On route to these results, some interesting polynomial identities, which are generalizations of Abel's identity, were discovered. }

13.425496

12.36559

15.760349

12.764859

12.949759

11.875982

12.710925

12.043064

11.872292

15.37547

13.019711

12.75873

13.398787

12.553745

12.706938

12.810402

12.955293

12.406834

12.163145

13.390301

12.234836

hep-th/0602052

Anisur Rahaman

Non-Abelian Gauged Chiral Boson with a Generalized Faddevian Regularization

10 pages latex file

Mod.Phys.Lett.A22:1183-1190,2007

10.1142/S0217732307021019

null

hep-th

null

We consider non-Abelian gauged version of chiral boson with a generalized Faddeevian regularization. It is a second class constrained theory. We quantize the theory and analyze the phase space. It is shown that in spite of the lack of manifest Lorentz invariance in the action, it has a consistent and Poincare' invariant phase space structure.

[ { "created": "Mon, 6 Feb 2006 14:15:37 GMT", "version": "v1" }, { "created": "Mon, 2 Jul 2007 09:01:31 GMT", "version": "v2" } ]

2008-11-26

[ [ "Rahaman", "Anisur", "" ] ]

We consider non-Abelian gauged version of chiral boson with a generalized Faddeevian regularization. It is a second class constrained theory. We quantize the theory and analyze the phase space. It is shown that in spite of the lack of manifest Lorentz invariance in the action, it has a consistent and Poincare' invariant phase space structure.

9.687608

8.430298

9.596356

7.800072

8.700007

8.545119

8.136324

7.868726

7.444983

10.320992

7.854345

8.02198

8.873184

8.32122

8.450253

8.454842

8.716983

8.218204

7.882396

8.888878

8.10429

1503.07183

Clemens Wieck

Fabian Ruehle, Clemens Wieck

Natural inflation and moduli stabilization in heterotic orbifolds

17 pages, 5 tables, comments and references added

null

DESY-15-040

hep-th astro-ph.CO hep-ph

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

We study moduli stabilization in combination with inflation in heterotic orbifold compactifications in the light of a large Hubble scale and the favored tensor-to-scalar ratio $r \approx 0.05$. To account for a trans-Planckian field range we implement aligned natural inflation. Although there is only one universal axion in heterotic constructions, further axions from the geometric moduli can be used for alignment and inflation. We argue that such an alignment is rather generic on orbifolds, since all non-perturbative terms are determined by modular weights of the involved fields and the Dedekind $\eta$ function. We present two setups inspired by the mini-landscape models of the $\mathbb Z_{6-\text{II}}$ orbifold which realize aligned inflation and stabilization of the relevant moduli. One has a supersymmetric vacuum after inflation, while the other includes a gaugino condensate which breaks supersymmetry at a high scale.

[ { "created": "Tue, 24 Mar 2015 20:15:15 GMT", "version": "v1" }, { "created": "Fri, 22 May 2015 07:51:57 GMT", "version": "v2" } ]

2015-05-25

[ [ "Ruehle", "Fabian", "" ], [ "Wieck", "Clemens", "" ] ]

We study moduli stabilization in combination with inflation in heterotic orbifold compactifications in the light of a large Hubble scale and the favored tensor-to-scalar ratio $r \approx 0.05$. To account for a trans-Planckian field range we implement aligned natural inflation. Although there is only one universal axion in heterotic constructions, further axions from the geometric moduli can be used for alignment and inflation. We argue that such an alignment is rather generic on orbifolds, since all non-perturbative terms are determined by modular weights of the involved fields and the Dedekind $\eta$ function. We present two setups inspired by the mini-landscape models of the $\mathbb Z_{6-\text{II}}$ orbifold which realize aligned inflation and stabilization of the relevant moduli. One has a supersymmetric vacuum after inflation, while the other includes a gaugino condensate which breaks supersymmetry at a high scale.

8.011847

8.558316

9.263299

7.934998

8.741035

8.600398

8.39234

8.703174

8.322482

9.69884

8.236688

7.751966

8.357549

7.769071

7.778951

8.004163

8.04974

7.946702

7.925095

8.365485

7.945723